SmallDoge/stable_dataset_processed · Datasets at Hugging Face

input_ids listlengths 1 2.05k	attention_mask listlengths 1 2.05k
[ 2693, 547, 723, 3765, 7955, 539, 4522, 454, 268, 5689, 665, 2424, 910, 2348, 513, 4731, 665, 7672, 10265, 630, 1478, 321, 924, 267, 896, 321, 924, 267, 3444, 11116, 610, 1930, 11116, 264, 949, 849, 1291, 547, 5186, 12097, 4522, 267, 607, 519, 4522, 616, 17146, 1813, 547, 19514, 2604, 454, 268, 3733, 1993, 23341, 20409, 328, 2293, 910, 16625, 19326, 949, 723, 513, 9434, 1198, 593, 519, 6091, 267, 2497, 610, 1599, 540, 519, 10265, 543, 4522, 269, 1160, 14075, 539, 14853, 647, 9535, 267, 31390, 8595, 647, 9535, 610, 11480, 8023, 949, 782, 1291, 547, 3765, 7955, 539, 4522, 610, 949, 1256, 1291, 547, 606, 936, 321, 924, 454, 268, 18648, 15482, 5516, 910, 14605, 9112, 13123, 267, 32320, 619, 543, 824, 5959, 14382, 12060, 949, 2014, 2604, 593, 4478, 4522, 4929, 873, 547, 1831, 3765, 7955, 539, 454, 268, 18648, 15482, 30719, 910, 4057, 5959, 9882, 949, 1291, 547, 10733, 2068, 543, 824, 5959, 2042, 267, 1082, 540, 799, 949, 2014, 3441, 547, 519, 14779, 610, 10265, 267, 5732, 4929, 519, 3765, 7955, 618, 540, 4522, 454, 300, 529, 7955, 618, 568, 3335, 606, 15110, 2783, 267, 855, 538, 930, 2665, 7180, 267, 5945, 543, 824, 3123, 949, 1689, 519, 2497, 610, 3337, 540, 519, 10265, 563, 22025, 1113, 3123, 540, 3765, 7955, 618, 1331, 912, 268, 595, 3847, 26100, 18025, 531, 622, 910, 513, 4816, 779, 9067, 3029, 1063, 519, 8772, 543, 18749, 3018, 540, 6379, 269, 634, 31370, 630, 549, 1993, 540, 519, 5023, 264, 3029, 1063, 519, 15795, 543, 27630, 3018, 540, 6379, 269, 589, 1579, 1111, 9067, 610, 31370, 4386, 950, 519, 5160, 3085, 1406, 4628, 6443, 267, 6028, 513, 7934, 269, 589, 1579, 1111, 9067, 543, 31370, 949, 849, 4183, 10265, 17244, 454, 268, 8177, 539, 610, 2806, 7538, 29726, 910, 16094, 12936, 610, 25983, 958, 8032, 4522, 949, 7369, 519, 3337, 540, 519, 10265, 454, 268, 8555, 704, 15482, 5516, 910, 14605, 19034, 5959, 13123, 267, 10824, 267, 25329, 543, 31750, 949, 7369, 519, 3337, 610, 10066, 540, 519, 10265, 454, 268, 28864, 910, 24407, 547, 519, 5023, 610, 3068, 949, 1689, 519, 12972, 610, 3337, 540, 519, 10265, 454, 268, 3733, 1993, 23341, 20409, 328, 2293, 910, 1454, 899, 538, 519, 2013, 540, 3765, 7955, 539, 4522, 267, 12675, 14853, 647, 9535, 267, 11480, 8023, 543, 31390, 8595, 946, 949, 1291, 547, 11095, 2242, 538, 519, 3337, 540, 519, 5023, 610, 10265, 454, 268, 570, 636, 2293, 910, 6084, 2293, 630, 18485, 23872, 543, 22480, 264, 538, 519, 5023, 610, 10265, 949, 1291, 547, 513, 1689, 538, 519, 2497, 610, 3337, 540, 519, 10265, 454, 1692, 568, 5689, 665, 2424, 543, 16700, 7955, 618, 7066, 730, 888, 27039, 593, 519, 2470, 267, 2014, 543, 10335, 540, 519, 3765, 7955, 618, 610, 4731, 665, 2424, 267, 1761, 5574, 4268, 269, 769, 930, 2665, 267, 2786, 2287, 4522, 949, 581, 4986, 811, 982, 513, 23815, 16369, 267, 865, 1100, 2126, 568, 2731, 2556, 267, 855, 538, 1866, 267, 2523, 1346, 538, 799, 519, 3765, 7955, 618, 610, 4731, 665, 2424, 568, 4049, 543, 5222, 1072, 610, 6197, 538, 930, 1259, 267, 2126, 568, 9090, 5227, 563, 288, 1297, 540, 2126, 3681, 616, 2139, 585, 3765, 7955, 539, 4522, 267, 1519, 25329, 267, 5694, 5447, 619, 267, 543, 1256, 5959, 2786, 2287, 6391, 269, 2368, 8320, 540, 4731, 665, 2424, 949, 13974, 581, 5701, 609, 25329, 547, 2953, 519, 2990, 540, 4522, 865, 607, 547, 1450, 519, 10265, 547, 1694, 811, 20354, 269, 4033, 1761, 5574, 585, 4731, 665, 2424, 1331, 519, 8851, 540, 4522, 547, 1930, 909, 2230, 538, 519, 10265, 267, 10265, 6391, 585, 18534, 12686, 610, 519, 18534, 12686, 540, 4522, 563, 6524, 1022, 1106, 540, 2126, 568, 9411, 883, 267, 707, 11290, 786, 1865, 2126, 3681, 609, 596, 952, 1022, 616, 2556, 267, 1761, 3902, 2798, 543, 1022, 3606, 2188, 602, 949, 1764, 707, 3375, 269, 0, 10429, 367, 30678, 892, 418, 493, 493, 19540, 503, 12255, 27730, 26033, 479, 27747, 486, 7511, 28098, 13644, 507, 2108, 7511, 420, 489, 365, 13644, 511, 30853, 24757, 418, 357, 350, 23521, 379, 273, 419, 363, 485, 8147, 30853, 24757, 30903, 502, 25203, 362, 16088, 27855, 513, 5188, 609, 513, 2979, 4116, 12486, 23284, 31284, 15159, 10429, 367, 30678, 418, 493, 493, 19540, 503, 12255, 27730, 26033, 479, 27747, 486, 7511, 28098, 13644, 507, 7511, 4970, 497, 10429, 360, 420, 489, 365, 13644, 511, 418, 357, 350, 23521, 379, 8147, 30006, 493, 419, 363, 485, 30853, 24757, 417, 507, 485, 20992, 418, 375, 350, 26166, 418, 357, 350, 23521, 379, 27747, 355, 419, 379, 375, 13644, 495, 25707, 421, 360, 502, 26166, 420, 489, 365, 13644, 511, 30853, 24757, 272, 16088, 27855, 513, 5188, 609, 513, 2979, 4116, 454, 7069, 2979, 4116, 594, 723, 513, 1360, 1434, 2979, 4116, 269, 1261, 568, 6004, 269, 18961, 563, 296, 899, 1864, 1360, 1454, 269, 594, 1589, 646, 568, 1360, 5100, 543, 16805, 269, 1879, 594, 7237, 930, 2042, 602, 594, 666, 1405, 4194, 267, 646, 2141, 2337, 803, 563, 296, 917, 621, 781, 711, 2653, 585, 1864, 547, 4001, 721, 971, 2352, 5396, 267, 865, 594, 786, 2119, 547, 1451, 621, 1134, 269, 11289, 596, 267, 6004, 269, 18961, 563, 2467, 729, 606, 3078, 14912, 6474, 713, 12784, 269, 1703, 729, 513, 8748, 14912, 6474, 1063, 938, 2979, 4116, 543, 2296, 4116, 713, 12784, 269, 634, 5956, 1310, 1362, 563, 6624, 1053, 14478, 519, 543, 1750, 1229, 585, 741, 3610, 269, 3767, 267, 938, 2979, 4116, 6004, 269, 9149, 3893, 519, 3440, 563, 3891, 729, 827, 547, 1780, 621, 547, 6004, 269, 15651, 896, 519, 11127, 269, 1879, 6004, 563, 313, 28702, 32357, 547, 3247, 1864, 267, 6004, 269, 9149, 3533, 5828, 1472, 543, 28520, 519, 3440, 883, 519, 11127, 609, 513, 4190, 1118, 5346, 8929, 269, 15526, 1750, 1229, 563, 296, 29860, 909, 543, 586, 8215, 267, 1256, 30534, 602, 594, 729, 513, 8004, 2875, 269, 634, 16311, 16768, 476, 2412, 3764, 269, 634, 1267, 729, 281, 519, 2979, 4116, 4465, 563, 5978, 2296, 4116, 729, 849, 1360, 6126, 269, 1358, 1767, 519, 1267, 729, 711, 519, 1034, 1271, 563, 296, 786, 2760, 7340, 519, 4116, 269, 5384, 4422, 676, 1932, 3728, 269, 594, 1616, 547, 581, 513, 1647, 1153, 2875, 538, 1250, 1362, 563, 296, 723, 513, 1434, 4116, 269, 4173, 2012, 568, 11809, 340, 2473, 8811, 14241, 269, 2701, 568, 1250, 2979, 4116, 563, 9515, 568, 1434, 693, 2979, 269, 2290, 1554, 267, 1082, 2979, 3610, 4280, 1200, 547, 3111, 269, 594, 4682, 547, 1200, 5604, 547, 2307, 1200, 563, 9515, 6045, 547, 803, 1360, 5402, 543, 5693, 269, 3733, 2979, 4116, 568, 1250, 1101, 4116, 267, 594, 786, 2760, 7340, 602, 594, 786, 2995, 1200, 281, 594, 2648, 596, 267, 596, 616, 1250, 4116, 267, 594, 993, 1360, 6126, 269, 0, 8368, 540, 12937, 454, 268, 476, 272, 269, 1548, 568, 513, 8909, 1404, 1572, 888, 268, 476, 273, 269, 1548, 1705, 5484, 808, 976, 517, 2161, 827, 9956, 888, 268, 476, 274, 269, 5808, 1767, 9956, 4941, 1148, 888, 268, 476, 275, 269, 5808, 568, 519, 4651, 540, 2296, 13357, 888, 268, 476, 276, 269, 5808, 1705, 5484, 808, 976, 517, 3310, 888, 268, 476, 277, 269, 4208, 729, 5484, 808, 976, 517, 12617, 7555, 909, 888, 268, 476, 278, 269, 12984, 5484, 808, 976, 517, 2828, 609, 9956, 888, 268, 476, 279, 269, 5808, 5206, 18792, 540, 1208, 2293, 888, 268, 476, 280, 269, 5808, 568, 519, 4651, 540, 18792, 540, 25654, 888, 268, 476, 1015, 269, 1548, 1281, 18792, 540, 1208, 2293, 1445, 593, 888, 268, 476, 1556, 269, 1548, 568, 2856, 18792, 888, 268, 476, 1321, 269, 1548, 568, 606, 1383, 540, 18792, 540, 2093, 888, 268, 476, 1724, 269, 1548, 568, 519, 2495, 540, 18792, 540, 26675, 888, 268, 476, 1691, 269, 5808, 1500, 18792, 888, 268, 476, 1428, 269, 1548, 568, 519, 9510, 18792, 888, 268, 476, 1626, 269, 1548, 568, 17127, 779, 2070, 593, 18792, 888, 268, 476, 1704, 269, 1548, 568, 1007, 543, 2025, 18792, 888, 268, 476, 1240, 269, 1548, 568, 519, 6305, 1445, 540, 2025, 18792, 888, 268, 476, 866, 269, 1548, 1281, 13357, 1611, 538, 5259, 888, 268, 476, 736, 269, 5808, 941, 1614, 1271, 5259, 15806, 888, 268, 476, 2641, 269, 5808, 616, 519, 1655, 15806, 888, 268, 476, 2420, 269, 5808, 568, 519, 1034, 4583, 5259, 1268, 888, 268, 476, 2537, 269, 1548, 568, 17127, 779, 6138, 888, 268, 476, 2190, 269, 1548, 616, 476, 274, 5013, 827, 17127, 888, 268, 476, 1839, 269, 1548, 568, 17127, 779, 4214, 540, 8788, 888, 268, 476, 2918, 269, 1548, 568, 519, 5207, 1434, 2687, 547, 17127, 888, 1432, 568, 513, 8909, 1404, 1572, 888, 307, 4048, 545, 558, 9037, 568, 513, 5339, 9135, 602, 24025, 3344, 540, 1312, 13249, 543, 13371, 3029, 269, 4107, 1419, 2938, 538, 10565, 3332, 267, 519, 2165, 666, 4766, 2901, 513, 13249, 1404, 799, 3568, 2614, 13371, 2609, 547, 1769, 523, 519, 2949, 7099, 610, 513, 3978, 1404, 609, 513, 6126, 10678, 563, 1432, 1705, 5484, 808, 976, 517, 2161, 827, 9956, 888, 19447, 10498, 21715, 1315, 1635, 681, 15477, 12224, 22542, 4629, 308, 311, 269, 17333, 1152, 1705, 5484, 808, 976, 517, 917, 9956, 267, 646, 1767, 646, 6068, 1864, 269, 9232, 296, 6068, 519, 812, 543, 798, 22632, 1010, 3965, 630, 10472, 2427, 31561, 520, 787, 264, 607, 1454, 607, 1022, 2223, 646, 5206, 538, 476, 14065, 280, 267, 1614, 1296, 1310, 9956, 779, 2669, 269, 1261, 849, 7301, 569, 22309, 1896, 4249, 267, 2523, 9232, 19878, 3780, 19332, 563, 8005, 1767, 9956, 4941, 1148, 888, 1103, 519, 5162, 540, 476, 14065, 279, 1700, 14065, 280, 267, 808, 976, 517, 1500, 513, 6972, 4663, 540, 4789, 543, 10430, 269, 2311, 835, 1448, 646, 6170, 1079, 4374, 607, 513, 16823, 540, 2278, 5261, 3220, 636, 12107, 540, 8316, 628, 528, 526, 523, 269, 808, 976, 517, 779, 1419, 1543, 1190, 2911, 729, 6592, 538, 4967, 676, 3220, 636, 12107, 267, 945, 20926, 808, 976, 517, 538, 3791, 16512, 1106, 269, 2334, 9956, 4941, 3203, 563, 8005, 568, 519, 4651, 540, 2296, 13357, 888, 306, 2684, 28965, 1411, 949, 899, 713, 5808, 568, 811, 1187, 14667, 610, 4856, 17383, 888, 8005, 1705, 5484, 808, 976, 517, 3310, 888, 297, 976, 517, 729, 513, 3020, 11193, 812, 269, 634, 968, 307, 11171, 540, 5484, 892, 8057, 909, 689, 519, 476, 14341, 271, 338, 267, 513, 1895, 540, 15023, 945, 29064, 2933, 6766, 676, 543, 1967, 832, 540, 808, 976, 517, 267, 3769, 7917, 4173, 4459, 543, 9400, 10753, 767, 864, 563, 3963, 729, 5484, 808, 976, 517, 12617, 7555, 909, 888, 763, 1249, 602, 808, 976, 517, 729, 12617, 538, 606, 20005, 2990, 729, 606, 16315, 540, 1010, 4389, 6381, 693, 519, 942, 540, 1010, 2669, 267, 4352, 621, 814, 849, 1044, 2854, 602, 646, 4280, 585, 513, 18205, 4010, 476, 1240, 6279, 4009, 689, 519, 16313, 543, 4607, 606, 20005, 18205, 547, 3514, 538, 519, 16761, 2230, 563, 24078, 5484, 808, 976, 517, 2828, 609, 9956, 888, 22746, 960, 4547, 808, 976, 517, 883, 15982, 7681, 609, 519, 3056, 2367, 540, 519, 1554, 269, 898, 568, 16990, 547, 1589, 602, 646, 729, 513, 3659, 540, 9956, 269, 769, 476, 14065, 277, 267, 519, 1032, 538, 799, 9956, 5747, 267, 808, 976, 517, 729, 1500, 10564, 31444, 622, 269, 1879, 646, 5747, 538, 476, 14321, 278, 267, 646, 729, 12617, 538, 606, 20005, 2990, 538, 31689, 30745, 563, 8005, 5206, 18792, 540, 1208, 2293, 888, 8005, 568, 519, 4651, 540, 18792, 540, 25654, 888, 24464, 6387, 1411, 949, 899, 713, 4208, 1705, 24981, 21098, 15608, 344, 888, 1432, 1281, 18792, 540, 1208, 2293, 1445, 593, 888, 763, 18792, 540, 1208, 2293, 568, 513, 9135, 540, 10565, 18792, 602, 6212, 593, 513, 1915, 610, 2039, 540, 3197, 267, 1142, 540, 7247, 15225, 1079, 610, 811, 936, 337, 4575, 7592, 610, 2048, 21065, 2293, 685, 602, 2531, 7149, 741, 7209, 267, 13821, 543, 2932, 563, 1432, 568, 2856, 18792, 888, 4467, 9037, 540, 14313, 284, 589, 18792, 538, 799, 519, 9644, 568, 1759, 593, 7214, 543, 11913, 3344, 540, 18792, 2864, 982, 2168, 18792, 269, 589, 12416, 4171, 8561, 568, 593, 519, 32692, 540, 2093, 267, 607, 30833, 538, 519, 4249, 540, 6723, 24527, 26396, 269, 3571, 4249, 6140, 7150, 1514, 9706, 11823, 2093 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 286, 594, 1611, 15069, 707, 6169, 568, 2484, 12863, 855, 594, 4941, 547, 2638, 594, 6956, 5265, 2483, 1432, 616, 891, 10053, 29162, 596, 2811, 13288, 547, 286, 594, 1589, 519, 6169, 568, 15528, 269, 1411, 991, 547, 1491, 513, 3970, 855, 602, 781, 5386, 269, 5213, 1405, 936, 6253, 1074, 713, 563, 279, 269, 630, 24314, 2022, 676, 1547, 332, 3430, 994, 296, 6415, 27378, 519, 1101, 2165, 593, 519, 2063, 1899, 568, 5921, 547, 581, 630, 321, 8584, 8358, 333, 607, 1134, 286, 630, 2254, 602, 621, 5540, 519, 1267, 538, 1022, 1259, 994, 280, 269, 630, 24314, 2022, 676, 2979, 2889, 325, 994, 1432, 616, 891, 10053, 29162, 596, 2811, 13288, 547, 286, 594, 1589, 519, 6169, 568, 15528, 269, 1411, 991, 547, 1491, 513, 3970, 855, 602, 781, 5386, 269, 5213, 1405, 936, 6253, 1074, 713, 563, 296, 729, 6158, 827, 6024, 543, 2241, 3252, 1373, 10053, 269, 1656, 9493, 1695, 267, 594, 993, 24057, 9722, 621, 267, 7064, 692, 2162, 13565, 6280, 6030, 692, 4811, 305, 8081, 12243, 692, 2171, 723, 513, 13085, 2319, 540, 811, 982, 476, 2568, 8081, 12243, 2818, 3168, 1310, 5717, 593, 634, 9906, 18740, 267, 4543, 547, 1118, 621, 513, 1187, 267, 2922, 543, 3730, 1747, 547, 13793, 856, 780, 1607, 8468, 568, 6462, 676, 912, 24993, 281, 4989, 476, 1015, 267, 476, 1001, 272, 454, 9213, 593, 570, 17876, 692, 2162, 1261, 13264, 909, 609, 803, 1317, 540, 1279, 3845, 692, 3086, 594, 6415, 3001, 547, 1010, 2749, 692, 2162, 2160, 1930, 2395, 692, 26607, 267, 476, 1839, 7325, 1412, 1240, 454, 273, 269, 2160, 540, 21207, 532, 5069, 454, 26607, 267, 476, 1839, 7325, 1412, 1240, 454, 274, 269, 25816, 26937, 1926, 2160, 454, 26607, 267, 476, 272, 4119, 1412, 1240, 454, 303, 3326, 454, 8196, 995, 2200, 692, 2162, 13174, 17072, 20171, 4808, 692, 8253, 2386, 1141, 547, 2022, 286, 3367, 519, 8242, 4808, 1934, 692, 2162, 1215, 547, 946, 5487, 307, 1410, 692, 16240, 4834, 519, 2653, 1259, 692, 2162, 5530, 6208, 540, 589, 265, 1053, 692, 12749, 4388, 689, 1053, 945, 723, 2907, 513, 1027, 741, 11400, 0, 258, 623, 15598, 273, 3848, 476, 276, 8791, 476, 274, 2871, 3660, 7335, 692, 394, 506, 24341, 395, 485, 10382, 14832, 15403, 24681, 394, 362, 692, 1691, 3852, 507, 14267, 15770, 476, 1001, 274, 1109, 263, 11027, 16708, 15403, 14832, 14668, 11027, 32703, 476, 275, 6543, 485, 16708, 32703, 14832, 15403, 10382, 3852, 374, 10382, 15403, 476, 277, 13179, 394, 362, 14832, 15770, 19084, 2020, 15836, 31330, 19031, 395, 484, 10382, 14832, 29111, 17385, 15770, 15403, 19084, 692, 303, 15598, 273, 3848, 476, 276, 8791, 476, 274, 692, 272, 780, 3071, 1693, 13090, 454, 529, 513, 3196, 602, 2164, 689, 3448, 5163, 1063, 3615, 269, 898, 454, 3071, 1693, 13090, 1492, 5163, 540, 3615, 610, 7252, 780, 273, 780, 3071, 1693, 13090, 13322, 1693, 13090, 568, 692, 1492, 4187, 2813, 950, 1079, 7252, 13472, 454, 659, 1484, 835, 1776, 780, 274, 780, 3071, 1693, 13090, 13322, 1693, 13090, 568, 513, 1826, 540, 11508, 602, 8952, 1079, 7252, 689, 454, 16435, 4575, 2066, 1142, 824, 780, 275, 780, 1432, 3123, 11508, 1063, 1079, 5347, 267, 3819, 7252, 971, 607, 513, 21312, 4216, 454, 663, 513, 454, 6229, 523, 3349, 2496, 276, 780, 763, 3196, 540, 11508, 9117, 593, 513, 2627, 2141, 2798, 13322, 1693, 13090, 547, 519, 4287, 454, 1993, 5163, 540, 602, 2627, 780, 277, 780, 1805, 1738, 11508, 6411, 547, 1832, 606, 1843, 693, 1964, 689, 13322, 1693, 13090, 13322, 1693, 13090, 454, 3071, 1693, 13090, 780, 278, 780, 20228, 4575, 11508, 568, 692, 320, 3196, 602, 759, 1235, 519, 5163, 540, 606, 1843, 602, 568, 13322, 1693, 13090, 454, 3071, 1693, 13090, 780, 279, 780, 13420, 10329, 568, 2813, 950, 513, 4216, 568, 14593, 2066, 519, 6989, 693, 3586, 3432, 267, 1317, 454, 1492, 3196, 596, 4019, 547, 7903, 519, 4216, 666, 26118, 519, 5706, 633, 3196, 540, 13322, 30668, 454, 29390, 3071, 1693, 13090, 780, 280, 780, 22428, 596, 723, 547, 7903, 513, 5230, 4216, 2407, 540, 2835, 2066, 707, 4928, 6989, 269, 6904, 454, 529, 811, 2352, 454, 734, 454, 1729, 1205, 621, 3001, 610, 547, 1832, 621, 3001, 286, 4208, 2496, 1015, 780, 16100, 693, 454, 293, 454, 2682, 476, 276, 269, 866, 593, 2985, 476, 15686, 269, 634, 1482, 1079, 7252, 616, 23510, 2066, 1142, 824, 538, 454, 18485, 5961, 269, 4208, 568, 621, 811, 2352, 547, 7485, 519, 1957, 2066, 519, 3349, 950, 519, 15839, 568, 454, 31419, 593, 1283, 2496, 1556, 780, 22428, 596, 17784, 519, 2597, 540, 513, 4216, 602, 596, 616, 23510, 2066, 519, 6989, 269, 1548, 454, 327, 1952, 839, 547, 519, 11508, 3196, 1063, 519, 4216, 543, 6989, 2496, 1321, 780, 288, 5714, 454, 4310, 547, 2569, 11508, 1063, 1079, 7252, 568, 1572, 513, 13322, 1693, 13090, 780, 1724, 780, 30761, 26971, 1689, 13322, 1693, 13090, 5163, 883, 13322, 1693, 13090, 5163, 267, 799, 454, 13757, 1454, 1447, 11508, 780, 1691, 780, 23737, 875, 513, 4012, 4582, 5721, 6971, 11508, 780, 1428, 780, 23737, 538, 707, 1378, 1913, 875, 535, 878, 454, 5406, 568, 3730, 585, 835, 540, 891, 3156, 281, 30158, 2676, 339, 790, 1374, 267, 18969, 267, 610, 1579, 730, 10887, 269, 0, 13043, 7021, 6503, 786, 581, 1524, 585, 5826, 585, 5111, 476, 274, 3108, 267, 4358, 11728, 10543, 630, 6187, 270, 2190, 270, 1001, 274, 264, 693, 5111, 476, 280, 281, 876, 6751, 8109, 942, 630, 7473, 290, 268, 275, 6393, 273, 12995, 1560, 692, 296, 3893, 3230, 337, 8443, 288, 32390, 8079, 315, 19008, 476, 275, 25490, 346, 273, 348, 678, 10490, 264, 678, 16360, 1040, 9681, 2005, 568, 2539, 982, 1269, 279, 259, 855, 1869, 2362, 982, 519, 8580, 15802, 1269, 290, 3709, 333, 337, 13157, 275, 16859, 296, 1031, 519, 1739, 5013, 1384, 1892, 1280, 3339, 630, 328, 4318, 269, 1269, 311, 317, 265, 311, 284, 18958, 317, 265, 259, 264, 14290, 649, 723, 1269, 337, 11583, 21174, 18406, 318, 272, 11583, 7751, 630, 1492, 4102, 13737, 1871, 540, 2473, 6393, 1892, 4399, 18406, 318, 272, 11583, 312, 25286, 311, 9385, 19008, 476, 273, 1422, 18406, 318, 272, 11583, 9385, 18406, 318, 272, 263, 312, 22491, 1892, 4746, 267, 4063, 602, 585, 1269, 311, 259, 543, 1269, 312, 259, 1200, 2466, 1014, 630, 328, 4318, 269, 1269, 311, 317, 265, 284, 2473, 259, 543, 1269, 312, 317, 265, 815, 962, 259, 3738, 649, 723, 692, 2330, 337, 11583, 266, 328, 312, 264, 1422, 28254, 1422, 10946, 13375, 7268, 18406, 318, 272, 11583, 1070, 315, 18406, 318, 272, 263, 312, 9385, 2431, 1070, 2330, 3230, 337, 11583, 266, 328, 312, 264, 1422, 19008, 1422, 6912, 3189, 18406, 318, 272, 317, 273, 11583, 264, 1341, 1422, 18406, 318, 272, 317, 273, 263, 312, 14587, 269, 9681, 299, 1115, 31693, 1269, 288, 259, 543, 1269, 289, 259, 538, 741, 1200, 2466, 1014, 543, 4550, 615, 2466, 1014, 2694, 267, 3230, 288, 815, 589, 20189, 1341, 1775, 589, 19963, 267, 1422, 15153, 645, 284, 645, 10734, 266, 328, 645, 20189, 266, 328, 645, 19963, 269, 9681, 10190, 3230, 337, 317, 273, 8443, 288, 32390, 8079, 1422, 19008, 1422, 3847, 263, 1422, 18406, 318, 272, 8443, 288, 20189, 32390, 20189, 316, 268, 314, 288, 19963, 32390, 19963, 8079, 315, 2431, 8203, 273, 1341, 1422, 3847, 263, 1422, 18406, 318, 272, 8443, 288, 20189, 32390, 19963, 316, 268, 314, 288, 19963, 32390, 20189, 8079, 315, 2431, 8203, 273, 2330, 29178, 318, 272, 8443, 288, 20189, 32390, 19963, 27994, 314, 288, 19963, 32390, 20189, 8079, 315, 2431, 8203, 273, 315, 19008, 13375, 263, 476, 273, 315, 18406, 318, 272, 10490, 20189, 9385, 18406, 318, 272, 16360, 20189, 11924, 273, 315, 18406, 318, 272, 10490, 19963, 9385, 18406, 318, 272, 16360, 19963, 264, 1422, 2431, 8203, 273, 1341, 1422, 3847, 263, 476, 273, 315, 18406, 318, 272, 10490, 20189, 9385, 18406, 318, 272, 16360, 19963, 11924, 273, 315, 18406, 318, 272, 10490, 19963, 9385, 18406, 318, 272, 16360, 20189, 264, 1422, 2431, 8203, 273, 284, 275, 630, 1422, 18406, 318, 272, 317, 273, 10490, 20189, 264, 1341, 1422, 18406, 318, 272, 317, 273, 10490, 19963, 264, 3738, 263, 1422, 18406, 318, 272, 317, 273, 16360, 20189, 264, 1341, 1422, 18406, 318, 272, 317, 273, 16360, 19963, 264, 3738, 1341, 1626, 1422, 18406, 318, 272, 10490, 20189, 264, 1422, 18406, 318, 272, 10490, 19963, 264, 1422, 18406, 318, 272, 16360, 20189, 264, 1422, 18406, 318, 272, 16360, 19963, 9385, 19008, 476, 279, 263, 1422, 18406, 318, 272, 317, 273, 10490, 20189, 264, 1341, 1422, 18406, 318, 272, 317, 273, 10490, 19963, 264, 3738, 263, 1422, 18406, 318, 272, 317, 273, 16360, 20189, 264, 1341, 1422, 18406, 318, 272, 317, 273, 16360, 19963, 264, 3738, 315, 19008, 476, 3953, 678, 317, 273, 10490, 264, 337, 317, 273, 16360, 1040, 2330, 272, 594, 3893, 2330, 337, 8443, 288, 32390, 8079, 315, 19008, 476, 275, 25490, 346, 273, 348, 678, 10490, 264, 678, 16360, 1040, 2330, 2005, 568, 2539, 982, 476, 279, 855, 1869, 2362, 982, 519, 8580, 15802, 595, 3709, 333, 337, 13157, 275, 269, 594, 1031, 519, 1739, 5013, 281, 3040, 1280, 3339, 630, 328, 4318, 269, 2473, 317, 265, 311, 284, 18958, 317, 265, 264, 14290, 649, 723, 678, 11583, 21174, 18406, 318, 272, 11583, 264, 630, 1492, 4102, 13737, 1871, 540, 2473, 1040, 3040, 1422, 18406, 318, 272, 11583, 312, 25286, 311, 9385, 19008, 476, 273, 1422, 18406, 318, 272, 11583, 9385, 18406, 318, 272, 263, 312, 264, 3040, 4746, 267, 4063, 602, 585, 2473, 543, 962, 1200, 2466, 1014, 630, 328, 4318, 269, 2473, 317, 265, 284, 2473, 543, 962, 317, 265, 815, 962, 3738, 649, 723, 2330, 337, 11583, 266, 328, 312, 264, 1422, 28254, 1422, 10946, 13375, 7268, 18406, 318, 272, 11583, 1070, 315, 18406, 318, 272, 263, 312, 9385, 2431, 1070, 337, 11583, 266, 328, 312, 264, 1422, 19008, 1422, 6912, 3189, 18406, 318, 272, 317, 273, 11583, 264, 1341, 1422, 18406, 318, 272, 317, 273, 263, 312, 14587, 269, 2330, 299, 1115, 31693, 589, 543, 645, 538, 741, 1200, 2466, 1014, 543, 4550, 615, 2466, 1014, 2694, 267, 2330, 288, 815, 589, 20189, 1341, 1775, 589, 19963, 267, 1422, 15153, 645, 284, 645, 10734, 266, 328, 645, 19963, 269, 2330, 10190, 2330, 337, 317, 273, 8443, 288, 32390, 8079, 1422, 19008, 1422, 3847, 263, 1422, 18406, 318, 272, 8443, 288, 20189, 32390, 20189, 316, 268, 314, 288, 19963, 32390, 19963, 8079, 315, 2431, 8203, 273, 1341, 1422, 3847, 263, 1422, 18406, 318, 272, 8443, 288, 20189, 32390, 19963, 316, 268, 314, 288, 19963, 32390, 20189, 8079, 315, 2431, 8203, 273, 315, 19008, 13375, 263, 476, 273, 315, 18406, 318, 272, 10490, 20189, 9385, 18406, 318, 272, 16360, 20189, 11924, 273, 315, 18406, 318, 272, 10490, 19963, 9385, 18406, 318, 272, 16360, 19963, 264, 1422, 2431, 8203, 273, 1341, 1422, 3847, 263, 476, 273, 315, 18406, 318, 272, 10490, 20189, 9385, 18406, 318, 272, 16360, 19963, 11924, 273, 315, 18406, 318, 272, 10490, 19963, 9385, 18406, 318, 272, 16360, 20189, 264, 1422, 2431, 8203, 273, 284, 275, 630, 1422, 18406, 318, 272, 317, 273, 10490, 20189, 264, 1341, 1422, 18406, 318, 272, 317, 273, 10490, 19963, 264, 3738, 263, 1422, 18406, 318, 272, 317, 273, 16360, 20189, 264, 1341, 1422, 18406, 318, 272, 317, 273, 16360, 19963, 264, 3738, 1341, 1626, 1422, 18406, 318, 272, 10490, 20189, 264, 1422, 18406, 318, 272, 10490, 19963, 264, 1422, 18406, 318, 272, 16360, 20189, 264, 1422, 18406, 318, 272, 16360, 19963, 9385, 19008, 476, 279, 263, 1422, 18406, 318, 272, 317, 273, 10490, 20189, 264, 1341, 1422, 18406, 318, 272, 317, 273, 10490, 19963, 264, 3738, 263, 1422, 18406, 318, 272, 317, 273, 16360, 20189, 264, 1341, 1422, 18406, 318, 272, 317, 273, 16360, 19963, 264, 3738, 315, 19008, 476, 3953, 678, 317, 273, 10490, 264, 337, 317, 273, 16360, 1040, 0, 258, 4855, 519, 3830, 540, 519, 2786, 1899, 799, 10596, 998, 519, 1448, 630, 476, 274, 267, 910, 275, 264, 543, 2348, 9386, 476, 274, 270, 273, 1109, 265, 320, 264, 476, 274, 343, 1107, 476, 275, 344, 1107, 1704, 25883, 8340, 519, 3830, 540, 519, 2786, 1899, 799, 10596, 998, 519, 1448, 630, 476, 274, 267, 910, 275, 264, 543, 2348, 9386, 476, 274, 270, 273, 1109, 22177, 320, 264, 476, 274, 343, 1107, 476, 275, 344, 1107, 1704, 815 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 851, 540, 519, 5850, 3294, 543, 616, 10274, 547, 519, 1292, 4245, 602, 789, 991, 547, 1451, 269, 4595, 891, 5049, 666, 581, 3833, 7199, 267, 513, 14949, 4244, 568, 6157, 1360, 1454, 10950, 269, 589, 811, 10097, 543, 1256, 1863, 4244, 547, 1265, 873, 568, 519, 5769, 269, 769, 519, 5769, 835, 666, 1265, 1169, 2009, 2296, 8239, 4976, 602, 568, 2139, 585, 1004, 945, 616, 1565, 519, 2296, 1893, 563, 13775, 693, 14349, 267, 5147, 476, 1839, 628, 476, 1708, 271, 267, 476, 5400, 281, 6021, 281, 6872, 7537, 269, 2296, 6096, 1635, 1520, 686, 2940, 6742, 710, 345, 269, 20677, 31524, 8018, 910, 898, 568, 1271, 547, 917, 1141, 596, 616, 20019, 269, 1924, 267, 11423, 856, 513, 4747, 9477, 4976, 786, 798, 1175, 602, 269, 901, 568, 513, 4976, 1141, 596, 1747, 782, 540, 707, 4747, 269, 1403, 596, 616, 9310, 610, 723, 513, 7649, 602, 8309, 547, 707, 10865, 18083, 581, 2386, 547, 1331, 741, 4747, 607, 1134, 269, 8307, 2322, 5781, 9648, 4747, 593, 713, 4976, 971, 607, 2834, 2628, 3832, 4242, 267, 1126, 1489, 543, 620, 574, 3415, 269, 1684, 711, 1331, 13755, 4926, 610, 824, 12150, 4747, 269, 0, 297, 984, 28428, 267, 3339, 543, 4890, 28428, 269, 2549, 525, 12064, 14716, 7011, 956, 10821, 8075, 269, 898, 3096, 513, 2816, 21057, 532, 1062, 609, 1079, 1463, 21057, 6688, 630, 29715, 2326, 543, 1463, 4074, 264, 543, 835, 9940, 21057, 7535, 630, 553, 12273, 1489, 1040, 6034, 4074, 3620, 2293, 568, 519, 14305, 3490, 585, 10198, 1489, 3790, 269, 769, 5412, 476, 1001, 271, 267, 2549, 525, 12064, 23348, 476, 1001, 272, 10198, 23418, 677, 3790, 547, 581, 1269, 279, 267, 4968, 267, 1822, 543, 476, 1001, 272, 1463, 4074, 3620, 2293, 547, 581, 476, 14917, 267, 1822, 269, 2311, 519, 1439, 540, 476, 1001, 272, 267, 2549, 525, 12064, 568, 9236, 519, 3790, 540, 1896, 6009, 602, 941, 3323, 543, 6192, 538, 476, 1001, 272, 563, 17445, 1570, 3790, 454, 17445, 4074, 3790, 454, 17445, 2326, 543, 1463, 4074, 616, 6976, 585, 593, 513, 4579, 4493, 269, 634, 3790, 540, 1142, 616, 1634, 950, 1463, 2326, 616, 1031, 610, 950, 1463, 4074, 3620, 2293, 616, 5249, 269, 634, 476, 1001, 272, 4890, 10198, 23418, 677, 3790, 941, 1269, 277, 267, 26392, 267, 1822, 267, 543, 519, 4890, 1463, 4074, 3620, 2293, 941, 476, 14321, 267, 1822, 563, 272, 269, 30770, 519, 630, 320, 264, 6578, 539, 9940, 21057, 2557, 543, 630, 321, 264, 4890, 9940, 21057, 2557, 269, 4208, 798, 789, 8428, 286, 22490, 454, 273, 269, 1548, 616, 519, 2816, 3790, 540, 519, 20698, 10044, 7844, 543, 519, 17030, 7844, 1210, 630, 320, 264, 3339, 28428, 543, 630, 321, 264, 4890, 28428, 888, 274, 269, 4208, 1522, 2549, 525, 12064, 14716, 4782, 3339, 28428, 936, 4890, 28428, 286, 0, 290, 20975, 281, 8551, 1299, 9177, 454, 23208, 5638, 5815, 602, 1739, 519, 11135, 540, 853, 2292, 15880, 267, 930, 7980, 941, 12617, 538, 513, 2527, 18205, 540, 1018, 3357, 547, 581, 1634, 607, 8055, 781, 12928, 3326, 269, 2201, 2904, 476, 274, 267, 476, 5002, 279, 267, 606, 1858, 1634, 607, 519, 22307, 1512, 779, 18140, 693, 8055, 779, 12928, 3326, 729, 13394, 3603, 543, 676, 476, 4489, 271, 267, 513, 6149, 1309, 597, 333, 543, 18533, 540, 513, 17794, 941, 8704, 269, 2201, 4864, 476, 272, 267, 476, 4489, 271, 267, 513, 16008, 729, 4371, 547, 1665, 519, 21048, 4979, 540, 519, 23193, 779, 31790, 630, 553, 621, 3357, 547, 581, 1572, 264, 693, 8055, 779, 12928, 3326, 607, 513, 18189, 547, 519, 7980, 945, 10692, 538, 519, 11135, 540, 853, 2292, 15880, 563, 10619, 3751, 9335, 4639, 2676, 1805, 2292, 15880, 267, 14411, 267, 700, 279, 294, 476, 272, 295, 278, 454, 2791, 949, 849, 581, 5461, 538, 2483, 289, 12864, 3084, 543, 3486, 3536, 689, 936, 476, 2568, 2344, 21527, 563, 291, 633, 883, 4832, 593, 519, 24528, 540, 8235, 14411, 693, 16803, 779, 30856, 1216, 335, 1046, 4586, 18439, 519, 10167, 540, 1148, 543, 29426, 6891, 593, 19258, 517, 9335, 256, 0, 763, 13540, 476, 28360, 273, 300, 326, 814, 513, 8953, 540, 5111, 476, 274, 269, 4649, 535, 332, 269, 6904, 540, 519, 1739, 22140, 814, 513, 8953, 5111, 7466, 607, 1804, 888, 293, 264, 9039, 540, 519, 1657, 4267, 454, 21761, 18542, 5999, 454, 1432, 3621, 1523, 798, 596, 991, 547, 917, 538, 1931, 547, 4194, 713, 1966, 888, 5978, 21493, 723, 8612, 602, 547, 4194, 713, 1966, 596, 786, 991, 547, 4019, 519, 26994, 12856, 1523, 269, 1411, 666, 2070, 3381, 4245, 547, 1451, 26994, 12856, 269, 2107, 952, 596, 991, 811, 26994, 12856, 2259, 267, 596, 666, 849, 2259, 26994, 12856, 2259, 2042, 563, 1692, 1279, 1281, 713, 1966, 1491, 547, 4194, 888, 5978, 4274, 8212, 20131, 267, 19958, 3576, 476, 275, 3764, 543, 476, 4510, 7643, 547, 4194, 713, 1966, 269, 1411, 666, 1246, 741, 3268, 538, 519, 3381, 7778, 1657, 269, 0, 23945, 2659, 16731, 454, 13425, 519, 1699, 4365, 689, 519, 2817, 16661, 6796, 693, 4179, 2517, 4178, 269, 933, 1430, 10993, 270, 563, 763, 7414, 7909, 814, 513, 2178, 3310, 593, 4365, 2175, 269, 11354, 5503, 8436, 547, 16410, 18115, 334, 2817, 31790, 1058, 581, 5423, 585, 3579, 267, 2842, 344, 267, 543, 20893, 4445, 2175, 267, 1256, 952, 621, 568, 13566, 267, 3905, 267, 543, 3819, 2417, 24654, 269, 1323, 936, 4751, 7286, 4494, 666, 1020, 2282, 519, 5032, 693, 1022, 942, 540, 1032, 267, 855, 713, 7613, 568, 1034, 1455, 1282, 519, 3735, 5614, 543, 2038, 4832, 269, 16511, 1023, 1289, 891, 2053, 834, 9802, 22630, 257, 543, 834, 18907, 3794, 7112, 1701, 15154, 540, 18644, 5842, 17630, 781, 17822, 547, 561, 10270, 538, 519, 14246, 540, 3141, 1532, 8898, 5070, 286, 1411, 3513, 4440, 1616, 547, 4123, 519, 7669, 338, 3726, 585, 513, 4418, 1846, 327, 7398, 543, 27890, 267, 607, 31063, 22839, 20441, 543, 5210, 10355, 4473, 1657, 476, 3583, 5232, 269, 634, 26700, 281, 596, 666, 3640, 2476, 519, 16813, 22641, 553, 267, 1317, 972, 781, 2370, 4960, 540, 4764, 563, 25105, 327, 327, 327, 267, 4832, 538, 5842, 17630, 269, 2349, 1170, 995, 8436, 588, 2651, 519, 6288, 267, 519, 2011, 2699, 565, 550, 609, 519, 20416, 540, 24429, 269, 634, 2749, 21593, 5210, 538, 519, 476, 3199, 338, 1282, 5147, 543, 4864, 267, 855, 20893, 666, 5066, 538, 10393, 267, 4611, 538, 513, 2656, 6749, 538, 2837, 563, 16729, 519, 11733, 540, 519, 12405, 267, 5842, 17630, 5956, 23090, 1524, 538, 15489, 269, 14175, 568, 4686, 267, 22839, 616, 2312, 267, 543, 5210, 2356, 29964, 538, 519, 4571, 268, 3583, 338, 269, 12096, 568, 849, 519, 942, 950, 13244, 27118, 12798, 5734, 519, 10315, 269, 1452, 7542, 665, 1190, 12798, 875, 331, 538, 689, 519, 9390, 547, 519, 7532, 267, 8744, 10565, 2837, 4679, 630, 1485, 5503, 1164, 338, 666, 3533, 4473, 883, 519, 476, 3445, 338, 1070, 3905, 267, 3819, 2011, 267, 543, 12303, 1100, 11195, 563, 21776, 998, 5988, 568, 519, 24925, 4005, 1934, 267, 609, 669, 11035, 4365, 18651, 1206, 887, 2130, 1524, 689, 519, 13323, 540, 14522, 267, 12419, 3006, 8731, 1370, 658, 1524, 335, 2293, 543, 5210, 538, 519, 476, 2004, 338, 543, 476, 2568, 338, 269, 4495, 15420, 1847, 856, 267, 2705, 267, 519, 5784, 689, 16410, 18115, 334, 616, 2356, 519, 1655, 540, 519, 1032, 281, 519, 4764, 18274, 525, 519, 2011, 543, 2306, 585, 12627, 268, 27234, 31858, 24252, 563, 1432, 547, 23203, 454, 288, 1134, 1790, 10517, 1563, 21233, 547, 16410, 18115, 334, 2817, 31790, 786, 10571, 538, 6106, 1022, 942, 540, 1032, 547, 13918, 2242, 538, 4365, 2175, 267, 543, 786, 3314, 519, 24429, 543, 11058, 585, 13566, 2395, 281, 9381, 3141, 666, 581, 6505, 267, 1256, 593, 4411, 5162, 2395, 563, 8310, 8242, 281, 5181, 476, 1839, 267, 476, 1708, 271, 0, 1001, 273, 4563, 4248, 2817, 13812, 25083, 16316, 11068, 2914, 5793, 26267, 11752, 454, 1805, 3530, 543, 13538, 693, 4563, 4248, 2817, 13812, 25083, 630, 301, 29949, 264, 6707, 6192, 519, 25083, 779, 476, 3451, 6113, 5993, 4571, 2914, 5793, 23914, 5619, 593, 5130, 476, 275, 267, 476, 1001, 273, 269, 901, 4674, 3238, 476, 280, 9675, 5234, 543, 476, 3066, 13538, 269, 11752, 5171, 941, 4092, 2429, 519, 9675, 693, 6378, 8343, 4609, 585, 519, 1079, 12268, 630, 549, 739, 543, 1875, 268, 549, 739, 264, 5619, 269, 634, 1875, 268, 549, 739, 630, 332, 528, 940, 264, 1293, 3812, 513, 2698, 540, 476, 12739, 32608, 267, 540, 799, 476, 1911, 941, 2937, 24052, 32608, 267, 476, 3066, 941, 1799, 1155, 24052, 32608, 267, 543, 476, 4375, 941, 796, 30009, 32608, 269, 634, 887, 739, 630, 16838, 532, 264, 1293, 3812, 476, 15150, 32608, 267, 540, 799, 476, 11025, 941, 2937, 24052, 32608, 267, 476, 4649, 941, 1799, 1155, 24052, 32608, 267, 543, 476, 1704, 941, 796, 30009, 32608, 269, 634, 23914, 2551, 693, 4563, 4248, 715, 29949, 814, 1044, 20406, 2810, 267, 609, 13581, 15088, 267, 2094, 476, 2735, 271, 269, 634, 5207, 4571, 2914, 5793, 5619, 2338, 941, 1346, 538, 476, 1001, 272, 267, 609, 476, 6245, 32608, 585, 519, 1875, 268, 549, 739, 1293, 543, 476, 9965, 32608, 585, 519, 887, 739, 1293, 269, 901, 1032, 779, 2338, 941, 1524, 811, 982, 476, 1321, 260, 689, 519, 2338, 538, 476, 1001, 272, 630, 1721, 1312, 13980, 1070, 855, 1164, 538, 6476, 609, 4505, 1296, 269, 2201, 519, 1554, 540, 713, 1032, 779, 1293, 5210, 941, 3328, 585, 513, 3339, 1032, 267, 1472, 476, 2767, 13790, 267, 855, 519, 5162, 2949, 814, 1044, 7646, 269, 634, 13581, 6175, 538, 23914, 2338, 713, 5162, 949, 723, 1044, 3361, 676, 7187, 5017, 711, 4955, 7992, 713, 2484, 5045, 269, 0, 6524, 649, 1376, 6158, 827, 1788, 2359, 7084, 267, 519, 1101, 3364, 602, 649, 991, 547, 798, 568, 547, 1174, 1018, 568, 519, 4890, 2495, 540, 5741, 2359, 888, 15368, 1227, 267, 1788, 2359, 568, 519, 2500, 946, 540, 1983, 267, 2645, 267, 1702, 543, 4480, 865, 602, 519, 4170, 540, 519, 1788, 616, 12913, 563, 4913, 519, 7986, 8984, 602, 30193, 5741, 2359, 689, 2359, 568, 602, 568, 814, 513, 13113, 5838, 762, 538, 513, 13113, 942, 12732, 269, 9521, 1788, 2359, 267, 2359, 568, 606, 5571, 1184, 269, 1677, 4163, 856, 1788, 2359, 7084, 1053, 991, 547, 723, 513, 2647, 2039, 540, 2930, 543, 2359, 1983, 563, 1607, 1576, 540, 1788, 2359, 5161, 540, 4058, 267, 30070, 543, 9013, 519, 2200, 538, 1931, 547, 1205, 13854, 3853, 269, 634, 2165, 968, 2889, 915, 892, 538, 1788, 2359, 568, 519, 7736, 324, 822, 712, 602, 814, 513, 5618, 4098, 543, 519, 1439, 799, 568, 6045, 547, 2743, 519, 9072, 543, 922, 6859, 540, 519, 1788, 5004, 563, 763, 1788, 2359, 568, 519, 1034, 2838, 9744, 799, 568, 1031, 676, 519, 1053, 269, 769, 1034, 540, 519, 6080, 519, 1788, 2359, 568, 547, 2838, 13567, 891, 2395, 269, 901, 568, 519, 2601, 3297, 1896, 1053, 5275, 948, 538, 741, 1788, 2359, 7084, 269, 31598, 513, 1788, 2359, 2875, 22316, 547, 6443, 519, 9872, 607, 513, 1788, 9614, 865, 602, 646, 610, 1352, 666, 3132, 538, 2178, 1344, 543, 519, 5578, 538, 519, 1896, 5933, 540, 519, 1788, 2359, 563, 2467, 616, 1585, 2101, 2127, 540, 5741, 2359, 2705, 649, 786, 1865, 930, 540, 873, 799, 786, 948, 596, 609, 707, 1788, 2359, 7084, 269, 1284, 723, 5018, 513, 1592, 540, 891, 2127, 2630, 5225, 979, 998, 891, 547, 723, 513, 538, 3829, 1702, 540, 519, 1641, 912, 2005, 3322, 2090, 1644, 547, 519, 8446, 540, 4220, 543, 1246, 621, 909, 609, 3527, 543, 3664, 3144, 25656, 538, 1870, 269, 1403, 649, 2911, 827, 1981, 1287, 621, 666, 581, 513, 1826, 540, 3463, 267, 3656, 15668, 1788, 610, 20982, 8936, 267, 3092, 563, 2005, 10416, 5252, 919, 513, 2318, 10639, 540, 519, 1870, 10909, 1282, 16839, 609, 519, 946, 540, 2757, 2923, 543, 1514, 2923, 269, 2060, 519, 948, 540, 713, 649, 666, 5968, 547, 513, 2527, 540, 1004, 693, 513, 1482, 1448, 540, 942, 563, 19968, 2359, 568, 519, 1034, 1271, 1858, 538, 2359, 2090, 267, 898, 2337, 538, 2870, 519, 3490, 585, 4509, 563, 15368, 1227, 621, 782, 665, 919, 1114, 2359, 2043, 547, 2743, 519, 3853, 676, 6388, 543, 19862, 540, 3664, 563, 2005, 5631, 814, 513, 2101, 1909, 538, 519, 2344, 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, 18411, 15647, 271, 2433, 630, 17432, 357, 424, 486, 502, 10563, 508, 495, 424, 482, 365, 264, 10563, 505, 494, 14602, 502, 14091, 482, 497, 27338, 454, 17432, 357, 424, 486, 502, 423, 359, 483, 2433, 5858, 454, 423, 356, 353, 32174, 506, 14091, 367, 478, 424, 486, 502, 263, 12407, 2678, 264, 2433, 423, 364, 502, 424, 356, 478, 423, 355, 482, 16868, 264, 14602, 482, 14091, 480, 502, 425, 481, 478, 423, 480, 368, 32629, 498, 10563, 510, 499, 424, 486, 502, 425, 502, 499, 17301, 264, 14091, 367, 478, 424, 486, 502, 476, 272, 32174, 506, 454, 423, 364, 502, 425, 503, 502, 29030, 502, 499, 263, 8873, 1826, 264, 2433, 10563, 489, 353, 424, 486, 502, 425, 502, 499, 263, 15615, 994, 17432, 357, 424, 486, 502, 14091, 480, 368, 424, 504, 358, 2433, 10563, 505, 494, 14602, 502, 14091, 482, 497, 27338, 423, 354, 376, 21844, 369, 361, 17432, 502, 32629, 498, 476, 17432, 357, 424, 486, 502, 21844, 369, 361, 425, 502, 482, 630, 424, 505, 494, 14602, 502, 14091, 482, 497, 27338, 815, 476, 274, 269, 1691, 9943, 337, 9943, 337, 994, 18411, 3698, 5858, 16868, 2187, 825, 2132, 1412, 260, 271, 269, 273, 325, 262, 4939, 263, 274, 269, 1691, 265, 337, 265, 337, 2020, 337, 815, 703, 9272, 15405, 2745, 6262, 22511, 16868, 4297, 0, 18411, 10482, 5400, 281, 10563, 499, 490, 425, 490, 490, 423, 366, 367, 21844, 364, 506, 424, 486, 502, 692, 423, 361, 372, 32510, 506, 912, 424, 499, 490, 425, 490, 490, 423, 366, 367, 10563, 484, 490, 423, 361, 372, 28990, 494, 423, 350, 506, 423, 356, 490, 10563, 507, 368, 423, 352, 357, 424, 500, 368, 424, 356, 482, 14091, 489, 357, 424, 500, 368, 590, 32174, 478, 10563, 352, 376, 424, 500, 368, 424, 356, 482, 30319, 269, 21844, 364, 479, 10563, 499, 490, 425, 490, 490, 423, 366, 367, 27338, 14091, 489, 357, 424, 500, 368, 29306, 494, 14091, 359, 485, 21844, 364, 506, 32174, 478, 29030, 493, 361, 17432, 357, 423, 494, 502, 424, 500, 368, 10563, 508, 486, 32629, 498, 424, 356, 478, 21844, 369, 361, 17432, 502, 32629, 498, 29030, 498, 482, 423, 350, 506, 422, 371, 372, 423, 508, 357, 14602, 482, 10563, 508, 495, 424, 482, 365, 17432, 502, 424, 489, 506, 424, 502, 353, 780, 28990, 483, 423, 510, 354, 912, 424, 366, 360, 424, 356, 372, 10563, 353, 482, 29306, 494, 14091, 489, 357, 424, 500, 368, 590, 32174, 478, 10563, 352, 376, 424, 500, 368, 424, 356, 482, 30319, 269, 14091, 489, 357, 424, 500, 368, 14602, 502, 21844, 372, 372, 27338, 32629, 498, 476, 1911, 14602, 482, 14091, 482, 502, 424, 356, 478, 10563, 499, 488, 424, 506, 376, 423, 358, 364, 267, 10563, 499, 490, 425, 490, 490, 423, 366, 367, 10563, 484, 490, 423, 361, 372, 28990, 494, 423, 350, 506, 423, 356, 490, 10563, 507, 368, 423, 352, 357, 424, 500, 368, 32510, 372, 10563, 508, 486, 30319, 780, 424, 370, 506, 423, 510, 354, 912, 21498, 357, 424, 500, 368, 29306, 494, 29030, 493, 361, 17432, 357, 423, 494, 502, 424, 500, 368, 10563, 508, 486, 32629, 498, 513, 14602, 502, 21844, 364, 506, 424, 486, 502, 267, 536, 14602, 502, 21844, 364, 506, 424, 486, 502, 267, 2560, 267, 1990, 14602, 502, 21844, 364, 506, 424, 486, 502, 423, 354, 376, 21844, 367, 369, 423, 364, 365, 424, 506, 376, 423, 350, 506, 21844, 369, 361, 423, 370, 482, 17432, 368, 424, 482, 506, 10563, 370, 506, 423, 510, 354, 17432, 506, 30319, 563, 18411, 5320, 815, 3403, 4590, 24987, 815, 11713, 531, 8224, 815, 18358, 320, 12887, 321, 12887, 322, 12887, 323, 12887, 324, 12887, 325, 12887, 326, 12887, 327, 12887, 328, 12887, 329, 12887, 330, 12887, 331, 12887, 332, 12887, 333, 12887, 334, 12887, 335, 12887, 336, 12887, 337, 12887, 338, 12887, 339, 12887, 340, 12887, 341, 12887, 342, 12887, 343, 12887, 344, 12887, 345, 23300, 1721, 513, 538, 9904, 912, 825, 2626, 6910, 27182, 29644, 5416, 4917, 1721, 1775, 538, 2626, 912, 825, 1820, 9217, 267, 1439, 815, 1412, 30386, 0, 18411, 13670, 277, 2433, 10563, 480, 361, 32174, 479, 425, 502, 499, 10563, 370, 506, 423, 510, 354, 17432, 502, 422, 372, 364, 476, 273, 454, 422, 372, 372, 27338, 562, 27338, 10563, 508, 483, 423, 510, 354, 423, 494, 502, 423, 358, 368, 14091, 489, 353, 14602, 490, 422, 367, 376, 21844, 364, 503, 14602, 478, 10563, 480, 361, 32174, 479, 425, 502, 499, 14602, 482, 10563, 370, 506, 423, 510, 354, 17432, 506, 30319, 780, 424, 502, 486, 264, 333, 27338, 476, 276, 14602, 376, 423, 499, 490, 454, 7052, 20330, 265, 567, 27661, 265, 567, 27661, 265, 567, 27661, 7052, 20330, 18411, 333, 815, 703, 9272, 15405, 1721, 1775, 538, 2039, 263, 272, 267, 562, 266, 272, 2187, 825, 952, 9217, 2525, 272, 610, 1775, 2525, 333, 2187, 1038, 585, 795, 538, 2039, 263, 271, 19885, 2187, 2018, 1820, 2891, 265, 2580, 1439, 284, 3269, 994, 825, 3116, 912, 1038, 1820, 2891, 265, 2580, 1439, 284, 3269, 994, 1038, 585, 795, 538, 2039, 263, 271, 267, 562, 268, 273, 2187, 2018, 1820, 2891, 14307, 1439, 284, 3269, 994, 1038, 1820, 2891, 265, 2580, 1439, 284, 3269, 994, 825, 1820, 2891, 834, 264, 0, 18411, 423, 361, 372, 32510, 506, 281, 1535, 423, 356, 490, 425, 479, 376, 21844, 364, 482, 422, 366, 358, 27338, 10563, 508, 486, 32629, 498, 562, 32174, 506, 14602, 502, 10563, 486, 360, 28990, 494, 692, 423, 361, 372, 32510, 506, 10563, 482, 353, 423, 359, 483, 912, 17432, 357, 424, 486, 502, 3070, 14602, 478, 10563, 510, 499, 424, 486, 502, 1535, 424, 503, 478, 10563, 508, 494, 29306, 364, 424, 486, 502, 562, 14602, 482, 10563, 508, 483, 423, 510, 354, 14091, 364, 505, 424, 499, 482, 267, 1535, 423, 370, 478, 425, 482, 364, 10563, 489, 506, 28990, 495, 17432, 368, 1535, 424, 498, 358, 10563, 355, 507, 32174, 478, 17432, 502, 32629, 498, 10563, 486, 360, 28990, 494, 423, 354, 376, 562, 32174, 506, 10563, 356, 478, 21498, 486, 32629, 498, 14091, 355, 361, 424, 488, 353, 425, 488, 372, 423, 354, 376, 14091, 355, 361, 425, 482, 368, 17432, 368, 424, 499, 376, 476, 17432, 358, 21498, 486, 30319, 563, 30319, 14602, 490, 10563, 510, 506, 17432, 506, 10563, 350, 364, 422, 365, 368, 14602, 482, 14091, 367, 368, 422, 367, 510, 267, 10563, 350, 364, 422, 365, 368, 14602, 482, 14091, 356, 490, 424, 350, 365, 17432, 502, 32629, 498, 476, 17432, 357, 424, 486, 502, 267, 3070, 14602, 482, 10563, 503, 482, 424, 482, 365, 17432, 368, 424, 352, 376, 424, 482, 372, 424, 504, 498, 780, 32510, 506, 17432, 506, 10563, 350, 364, 422, 365, 368, 912, 272, 264, 1535, 32629, 498, 910, 1911, 1822, 876, 10563, 507, 368, 424, 481, 479, 267, 476, 1911, 1822, 876, 10563, 507, 368, 17432, 502, 14602, 372, 10563, 510, 499, 424, 486, 502, 28990, 483, 21498, 486, 30319, 563, 273, 264, 562, 14602, 478, 476, 1911, 271, 10563, 507, 368, 17432, 502, 14602, 372, 10563, 508, 494, 29306, 364, 424, 486, 502, 28990, 483, 21498, 486, 30319, 563, 18411, 3698, 3070, 3287, 267, 562, 2187, 825, 2132, 1496, 343, 265, 328, 585, 1775, 538, 2039, 263, 272, 267, 562, 266, 272, 264, 6540, 343, 267, 562, 815, 3403, 14061, 20889, 4590, 343, 815, 703, 3287, 994, 333, 815, 703, 3799, 2020, 2745, 4433, 1828, 3287, 267, 562, 4297, 0, 258, 5124, 5358, 547, 19467, 1079, 21594, 692, 258, 9577, 547, 19467, 1079, 21594, 454, 3698, 19467, 291, 5315, 5560, 1112, 272, 267, 9598, 273, 2567, 3097, 567, 2132, 5560, 1112, 273, 269, 26303, 5560, 1112, 272, 4297, 8528, 258, 30905, 3009, 3097, 323, 272, 815, 9598, 4590, 323, 273, 815, 9598, 4590, 11907, 815, 3403, 3488, 11767, 8745, 1299, 24305, 9674, 676, 834, 281, 257, 30386, 31184, 815, 1239, 21858, 3488, 281, 5073, 323, 272, 314, 31184, 314, 271, 14963, 815, 703, 6025, 11391, 314, 272, 7481, 1721, 1883, 267, 1871, 538, 546, 272, 29096, 10031, 567, 1820, 3488, 11243, 281, 2715, 9574, 24305, 281, 15079, 8339, 8971, 31107, 267, 1871, 11723, 11907, 815, 3403, 3488, 11767, 8745, 1299, 24305, 9674, 676, 834, 281, 257, 30386, 31184, 815, 1239, 21858, 3488, 281, 5073, 323, 273, 314, 31184, 314, 271, 14963, 815, 703, 6025, 11391, 314, 272, 7481, 1721, 1883, 267, 1871, 538, 546, 273, 29096, 10031, 567, 1820, 3488, 11243, 281, 2715, 9574, 24305, 281, 15079, 8339, 8971, 31107, 267, 1871, 11723, 258, 11910, 532, 19467, 1599, 454, 263, 1067, 613, 291, 5315, 5560, 272, 267, 546, 273, 4297, 3097, 2745, 2891, 291, 5315, 1310, 26399, 2433, 24333, 323, 273, 994, 0, 258, 5124, 5358, 547, 4894, 26134, 1913, 689, 513, 4845, 692, 5228, 10070, 1104, 22388, 454, 258, 9577, 547, 4894, 26134, 1913, 689, 513, 4845, 454, 3698, 4894, 291, 340, 12393, 30415, 2187, 567, 952, 5569, 2652, 1412, 343, 12466, 11434, 1820, 2891, 2750, 527, 5602, 11434, 14827, 3890, 3248, 567, 3116, 912, 11434, 5569, 815, 5569, 21858, 2891, 19515, 11434, 585, 1775, 538, 2039, 263, 271, 267, 7003, 30415, 15892, 19930, 5569, 5157, 316, 815, 834, 2668, 21860, 30415, 5157, 7481, 19930, 26134, 815, 22388, 30415, 994, 19930, 521, 815, 834, 834, 269, 21860, 263, 706, 12393, 269, 12399, 15405, 11434, 1820, 9497, 5475, 9427, 26134, 1913, 267, 519, 4845, 568, 2433, 2580, 338, 2020, 258, 6875, 3403, 689, 3593, 3097, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 567, 5569, 815, 3403, 2891, 11767, 1022, 4845, 14826, 5602, 567, 4894, 291, 340, 12393, 30415, 2020, 0, 1477, 2162, 17276, 353, 506, 27381, 351, 12530, 482, 12530, 376, 12530, 360, 11210, 369, 12530, 367, 12530, 501, 12530, 360, 1477, 2162, 476, 7430, 497, 11210, 490, 11210, 496, 12530, 503, 12530, 376, 11210, 373, 7430, 360, 420, 359, 366, 421, 350, 490, 28374, 19540, 483, 14395, 373, 11210, 496, 420, 10191, 420, 357, 502, 7430, 501, 7430, 355, 7430, 493, 7430, 510, 7430, 499, 7430, 482, 5897, 5814, 26417, 1477, 258, 17276, 353, 506, 27381, 351, 11210, 377, 12530, 376, 11210, 373, 1477, 5976, 1930, 3488, 25899, 27406, 3299, 1412, 342, 10807, 607, 26417, 18316, 6769, 825, 5856, 815, 26417, 9884, 31581, 6262, 12364, 18316, 3418, 825, 5856, 9884, 31581, 578, 8443, 257, 7430, 511, 7430, 504, 7430, 497, 14824, 7430, 509, 11210, 497, 7430, 502, 11210, 491, 7430, 484, 14824, 7430, 491, 11210, 485, 7430, 484, 7430, 502, 11210, 483, 11210, 491, 7430, 484, 14824, 7430, 492, 11210, 484, 7430, 484, 14824, 7430, 496, 11210, 497, 11210, 482, 14824, 7430, 489, 7430, 359, 7430, 488, 14824, 7430, 506, 11210, 497, 7430, 482, 7430, 353, 19312, 10142, 2162, 17276, 353, 506, 27381, 351, 12530, 482, 12530, 376, 12530, 360, 5897, 5976, 1930, 3488, 25899, 27406, 3299, 1412, 337, 10807, 607, 26417, 18316, 6769, 825, 5467, 815, 26417, 18667, 518, 6262, 12364, 18316, 3418, 825, 585, 4737, 538, 5467, 6769, 1038, 1820, 21405, 10142, 258, 1820, 4433, 1830, 10142, 3698, 3406, 28399, 825, 2262, 815, 6358, 2891, 421, 361, 376, 418, 375, 483, 28374, 419, 503, 375, 417, 510, 368, 32512, 29830, 358, 28374, 12571, 491, 31176, 491, 11210, 496, 24662, 20693, 505, 7430, 501, 7430, 355, 7430, 493, 7430, 510, 7430, 499, 7430, 482, 21188, 834, 3418, 24541, 825, 12693, 476, 7430, 497, 7430, 497, 7430, 360, 418, 353, 506, 27381, 351, 12530, 511, 11210, 372, 12530, 481, 11210, 363, 11210, 496, 418, 505, 372, 7430, 493, 1477, 825, 1820, 27182, 538, 4737, 10142, 825, 952, 2262, 538, 4737, 6769, 1038, 1820, 3488, 7430, 482, 7430, 378, 7430, 503, 20298, 825, 3116, 6769, 1038, 4737, 6910, 27182, 3418, 1038, 1820, 3488, 7430, 482, 7430, 378, 7430, 505, 11210, 497, 12486, 420, 10191, 20693, 510, 7430, 501, 7430, 378, 7430, 503, 12486, 262, 10142, 825, 1820, 21405, 10142, 825, 1820, 2891, 24001, 7430, 490, 26109, 489, 7430, 353, 7430, 489, 11210, 488, 7430, 501, 7430, 509, 2668, 8971, 27182, 264, 10142, 604, 6449, 4067, 1029, 2652, 26242, 10852, 1029, 257, 6769, 825, 3406, 31476, 258, 22614, 493, 378, 418, 30904, 30536, 7430, 356, 420, 358, 355, 27310, 421, 490, 363, 420, 359, 353, 18809, 7430, 356, 7430, 503, 16378, 497, 1477, 258, 609, 1930, 3488, 25899, 27406, 3299, 1412, 342, 10807, 607, 26417, 18316, 6769, 258, 672, 5856 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1341, 536, 267, 577, 5366, 1535, 543, 4194, 519, 3830, 585, 586, 267, 610, 26716, 5366, 586, 543, 4194, 585, 1535, 563, 1692, 1082, 10974, 616, 972, 538, 513, 1448, 888, 22764, 2338, 2005, 3651, 338, 1614, 2338, 630, 4385, 607, 10974, 264, 547, 1169, 1448, 538, 28070, 2230, 281, 24293, 3845, 678, 267, 8701, 5086, 16564, 630, 9064, 1070, 543, 20842, 574, 3578, 531, 5086, 26420, 630, 12978, 1916, 1692, 798, 596, 1265, 519, 10974, 540, 513, 1448, 593, 513, 3113, 888, 2414, 1265, 519, 1535, 18396, 15453, 540, 513, 1448, 593, 513, 3113, 281, 19352, 513, 2786, 1899, 689, 519, 1448, 2047, 547, 519, 1535, 14289, 7868, 1297, 1141, 519, 1899, 16125, 519, 1535, 14289, 568, 519, 1871, 540, 519, 1535, 18396, 15453, 563, 1432, 616, 519, 10974, 540, 1448, 674, 888, 763, 10974, 585, 8672, 674, 616, 630, 275, 269, 275, 16427, 275, 269, 277, 1916, 1432, 568, 10974, 540, 513, 1448, 888, 3467, 2560, 589, 1305, 540, 2418, 602, 1397, 606, 3169, 2990, 269, 2201, 11708, 621, 568, 2356, 513, 6292, 540, 2338, 281, 519, 1101, 1297, 2982, 519, 3845, 2059, 267, 543, 519, 2034, 1297, 2982, 519, 3845, 909, 610, 1524, 269, 7151, 281, 519, 1448, 630, 1321, 267, 276, 264, 568, 476, 1321, 4559, 2059, 267, 543, 476, 276, 4559, 909, 563, 1692, 798, 596, 2099, 10974, 888, 2691, 24152, 519, 10974, 540, 513, 4087, 267, 519, 1899, 540, 20173, 568, 2141, 2016, 1101, 4553, 676, 519, 1899, 540, 29978, 269, 4475, 267, 519, 10974, 540, 713, 4087, 786, 581, 281, 476, 1015, 4113, 301, 20173, 267, 476, 3583, 4113, 310, 29978, 269, 634, 1899, 540, 20173, 568, 1224, 607, 476, 6078, 5232, 630, 6078, 4113, 1070, 476, 2190, 3764, 630, 2190, 12664, 1070, 476, 1321, 269, 273, 7643, 630, 1321, 269, 273, 14615, 5087, 269, 0, 23763, 547, 4137, 856, 519, 4266, 602, 568, 4010, 835, 8536, 835, 4627, 543, 8938, 32732, 2395, 689, 1631, 1510, 10203, 888, 9213, 568, 5239, 476, 2918, 267, 476, 1708, 272, 865, 602, 1797, 602, 476, 12208, 279, 2395, 689, 2221, 1131, 581, 5437, 476, 2767, 267, 476, 1708, 275, 563, 2791, 666, 2638, 713, 676, 1210, 519, 4266, 3017, 9498, 547, 2268, 519, 1297, 540, 2395, 689, 2221, 547, 8734, 476, 2767, 267, 476, 1708, 275, 563, 23921, 547, 5173, 476, 12208, 279, 2395, 689, 513, 1808, 4266, 286, 2422, 519, 17963, 3245, 11261, 9498, 563, 21776, 476, 2767, 628, 267, 476, 1708, 275, 568, 513, 13723, 269, 898, 568, 519, 476, 28590, 526, 1554, 540, 519, 1032, 267, 543, 538, 519, 476, 4366, 628, 3018, 540, 519, 1032, 630, 817, 11167, 1142, 3018, 6238, 593, 513, 11728, 1070, 610, 519, 476, 275, 628, 10116, 540, 519, 1032, 269, 1703, 616, 476, 1789, 2395, 538, 713, 3923, 269, 476, 1708, 275, 568, 513, 20014, 1032, 267, 865, 972, 616, 476, 3607, 277, 2395, 538, 713, 1032, 269, 634, 2110, 1106, 585, 713, 4266, 1031, 538, 519, 2136, 2276, 568, 476, 1556, 270, 2767, 270, 1708, 275, 267, 543, 3592, 10876, 3116, 538, 519, 1158, 621, 781, 476, 2767, 270, 1556, 270, 1708, 275, 563, 1103, 930, 2665, 267, 596, 1522, 1616, 547, 18178, 32300, 543, 1293, 1152, 519, 3018, 17058, 269, 901, 1223, 581, 3730, 952, 596, 917, 596, 723, 513, 21120, 1759, 593, 513, 1978, 1297, 540, 1870, 2395, 269, 1403, 596, 616, 3843, 547, 1294, 1018, 1554, 8813, 593, 519, 3169, 4266, 3017, 540, 476, 272, 267, 12553, 3018, 17058, 689, 2221, 267, 596, 666, 1293, 909, 1142, 1554, 1236, 6235, 590, 4405, 17058, 543, 9530, 904, 563, 9359, 707, 9819, 609, 2221, 267, 799, 8813, 593, 513, 13638, 269, 25478, 4464, 267, 519, 1985, 1554, 1131, 581, 513, 13723, 563, 2414, 1205, 4010, 835, 8536, 835, 4627, 543, 8938, 32732, 3018, 17058, 689, 1631, 267, 596, 2965, 991, 547, 1293, 476, 272, 267, 276, 4281, 2698, 2395, 630, 10175, 15964, 2395, 1040, 2334, 1797, 602, 476, 12208, 279, 3018, 17058, 689, 2221, 1131, 581, 5988, 476, 736, 267, 476, 1708, 277, 563, 2252, 596, 2811, 10203, 1870, 2395, 267, 1810, 1405, 7340, 547, 4188, 713, 4266, 585, 1022, 14812, 563, 21938, 476, 736, 628, 267, 476, 1708, 277, 568, 513, 11016, 269, 898, 568, 519, 476, 7906, 560, 1554, 540, 519, 1032, 267, 543, 538, 519, 476, 279, 628, 3018, 540, 519, 1032, 630, 817, 11167, 1142, 3018, 6238, 593, 513, 11728, 1070, 610, 519, 476, 272, 560, 10116, 540, 519, 1032, 269, 1703, 616, 476, 2764, 2395, 538, 713, 3923, 269, 476, 1708, 277, 568, 711, 513, 20014, 1032, 267, 865, 972, 616, 476, 18458, 2395, 538, 713, 1032, 269, 634, 2110, 1106, 585, 713, 4266, 1031, 538, 519, 2136, 2276, 568, 476, 273, 270, 736, 270, 1708, 277, 267, 543, 3592, 10876, 3116, 538, 519, 1158, 621, 781, 476, 736, 270, 273, 270, 1708, 277, 563, 1607, 3135, 2488, 606, 2228, 17963, 3245, 4653, 9498, 547, 948, 596, 1265, 519, 4266, 602, 4386, 4010, 2473, 2395, 689, 1631, 269, 1411, 666, 849, 4283, 513, 2942, 1297, 547, 1265, 856, 950, 2473, 2395, 1354, 2221, 5949, 547, 2887, 269, 1411, 666, 946, 713, 1907, 547, 4137, 856, 513, 21120, 952, 596, 723, 513, 1978, 1297, 540, 2395, 6967, 269, 2107, 1224, 519, 2407, 2985, 547, 1451, 811, 827, 519, 1813, 4266, 952, 596, 2811, 10203, 1870, 2395, 610, 3018, 17058, 1152, 267, 1236, 6235, 14349, 543, 10732, 269, 1403, 596, 2811, 3843, 547, 2268, 519, 1297, 540, 2395, 1063, 1079, 7389, 267, 596, 666, 6467, 547, 519, 11261, 16338, 9498, 3079, 269, 0, 291, 558, 4382, 12352, 616, 519, 1071, 4725, 1746, 2078, 1063, 15982, 4891, 711, 9310, 547, 1142, 824, 269, 681, 261, 290, 932, 476, 279, 630, 303, 326, 269, 476, 18891, 268, 26237, 264, 1692, 814, 519, 4008, 5888, 540, 519, 13781, 4957, 538, 519, 2250, 476, 1220, 1296, 286, 268, 15900, 476, 5197, 271, 338, 281, 476, 276, 260, 540, 2021, 5249, 3544, 1753, 269, 476, 5002, 271, 281, 476, 1789, 260, 941, 6964, 12051, 4600, 269, 4438, 2112, 267, 1247, 2367, 941, 2476, 267, 2021, 1185, 547, 960, 269, 9093, 8120, 267, 2021, 1185, 547, 1118, 4055, 585, 2367, 538, 4074, 3196, 269, 476, 3422, 271, 338, 281, 16028, 3928, 2799, 267, 2021, 9411, 4074, 3196, 547, 1489, 2933, 269, 13201, 1044, 454, 27463, 2084, 2479, 2094, 269, 1262, 1432, 1281, 968, 16303, 17478, 892, 1611, 286, 1215, 616, 6009, 3023, 5302, 27935, 286, 1548, 616, 519, 4539, 286, 268, 29189, 17478, 4016, 547, 519, 4110, 547, 799, 2367, 543, 2021, 616, 13671, 538, 23909, 538, 799, 4600, 540, 835, 3023, 2392, 558, 3729, 11607, 297, 10849, 616, 3023, 5302, 27935, 676, 910, 763, 4539, 616, 12145, 7694, 3255, 267, 18351, 1143, 267, 7920, 2604, 267, 3092, 269, 1262, 1432, 568, 519, 13230, 7934, 286, 1215, 666, 5198, 543, 4008, 3313, 14057, 286, 1692, 666, 649, 2491, 519, 13230, 7934, 286, 268, 763, 13230, 7934, 568, 910, 305, 864, 267, 13834, 267, 6428, 776, 18737, 7336, 8724, 519, 13230, 7934, 5093, 1432, 15295, 568, 1034, 2693, 547, 581, 4057, 286, 2201, 10304, 286, 268, 306, 17532, 12624, 338, 616, 1034, 2693, 547, 581, 4057, 11607, 265, 6701, 1346, 10304, 2324, 286, 4208, 610, 1946, 711, 286, 1548, 616, 519, 4539, 286, 19203, 1262, 1692, 798, 1004, 593, 10304, 6108, 741, 2724, 286, 1262, 1432, 616, 930, 2487, 10304, 15024, 543, 1018, 616, 519, 4539, 286, 734, 454, 305, 261, 290, 932, 476, 280, 630, 303, 326, 269, 476, 14838, 268, 18231, 264, 1262, 8005, 862, 1080, 6760, 286, 1548, 2010, 540, 6760, 286, 4208, 286, 268, 21930, 2367, 3479, 6760, 269, 734, 3963, 814, 22158, 1044, 30199, 585, 2810, 519, 1297, 540, 10963, 8149, 676, 2021, 286, 1548, 616, 930, 31886, 540, 713, 3069, 286, 268, 293, 655, 24452, 814, 1044, 30199, 1317, 607, 2021, 1745, 811, 5391, 23306, 9308, 267, 14156, 267, 16155, 267, 1447, 896, 2367, 779, 1379, 267, 789, 4043, 547, 1491, 856, 741, 10845, 269, 4746, 267, 607, 2021, 1205, 811, 3238, 538, 519, 4074, 3196, 267, 789, 723, 811, 4316, 547, 3479, 6760, 630, 19009, 543, 4544, 27897, 4700, 1432, 2360, 723, 16601, 10654, 4031, 1185, 593, 2021, 286, 300, 663, 2218, 10654, 4031, 723, 1500, 621, 865, 602, 2021, 666, 581, 849, 18486, 585, 14213, 532, 606, 15982, 7649, 1282, 513, 6469, 5208, 15539, 267, 1256, 952, 9117, 538, 1582, 12413, 1619, 23130, 616, 930, 7496, 4775, 7128, 10492, 3068, 286, 293, 24580, 7128, 10492, 949, 3068, 1373, 2938, 607, 9308, 543, 2618, 10999, 21260, 267, 6354, 11494, 267, 711, 22973, 267, 17596, 2027, 2126, 267, 3092, 32289, 568, 2366, 9760, 1644, 547, 2757, 4008, 8155, 286, 18131, 616, 1447, 2693, 547, 4309, 7890, 942, 982, 2367, 585, 741, 10963, 269, 10705, 1317, 519, 5480, 4769, 1406, 1491, 519, 10963, 12233, 676, 2021, 607, 12517, 607, 1346, 8149, 676, 2367, 269, 0, 15288, 21815, 5058, 6730, 19845, 27073, 5058, 454, 5978, 5075, 693, 670, 843, 518, 628, 528, 701, 12729, 3427, 568, 547, 1683, 3255, 585, 1453, 547, 1020, 607, 4830, 267, 8746, 267, 3811, 6267, 609, 1164, 17050, 945, 917, 875, 547, 1118, 513, 2318, 9295, 547, 741, 2146, 543, 9962, 2486, 269, 1703, 568, 513, 1164, 1445, 593, 3384, 5837, 267, 5289, 267, 1514, 543, 2686, 1620, 269, 10076, 1072, 543, 1134, 5630, 568, 693, 519, 2295, 540, 938, 6437, 609, 519, 6249, 540, 968, 301, 4669, 675, 892, 1373, 8142, 539, 998, 938, 6437, 563, 11749, 1132, 585, 1967, 912, 4910, 559, 1466, 267, 3131, 14651, 267, 21727, 543, 9877, 1145, 454, 5978, 715, 4669, 675, 15099, 912, 4263, 670, 843, 518, 628, 528, 701, 12729, 3427, 267, 649, 616, 851, 540, 519, 715, 4669, 1005, 12140, 19510, 689, 2048, 763, 715, 4669, 675, 6828, 8416, 17483, 2171, 2503, 782, 8639, 543, 8436, 538, 519, 1153, 547, 2203, 891, 3741, 547, 1142, 824, 269, 1452, 3741, 616, 8142, 539, 998, 782, 3344, 540, 938, 1153, 1272, 1519, 4507, 543, 519, 6437, 563, 2791, 666, 1224, 811, 827, 938, 715, 4669, 675, 15099, 267, 1519, 13156, 938, 1034, 7789, 14791, 1867, 1934, 563, 13981, 693, 670, 843, 518, 628, 528, 701, 912, 8794, 519, 3084, 6437, 607, 938, 3490, 547, 2709, 4560, 540, 1565, 267, 519, 6437, 693, 670, 843, 518, 628, 528, 701, 568, 3358, 547, 1683, 1453, 609, 1702, 543, 1983, 799, 616, 11636, 936, 519, 1032, 543, 998, 519, 1296, 267, 3850, 782, 1453, 547, 7842, 741, 1565, 543, 6542, 1018, 789, 917, 543, 3314, 563, 8923, 1491, 513, 1413, 693, 938, 4147, 16735, 547, 1294, 930, 540, 519, 3078, 1565, 2469, 593, 538, 1153, 563, 2252, 596, 1131, 899, 811, 1344, 827, 875, 649, 4001, 811, 2111, 1453, 267, 5225, 1294, 938, 20523, 3493, 628, 2985, 563, 19350, 596, 666, 1265, 1344, 585, 1367, 5396, 543, 875, 789, 616, 6026, 269, 0, 3412, 332, 2317, 543, 700, 8233, 1738, 454, 26045, 2657, 543, 32471, 748, 454, 1805, 516, 696, 19905, 623, 12149, 8205, 324, 630, 1492, 13969, 19905, 264, 568, 519, 1034, 1455, 9190, 2014, 540, 9190, 16415, 538, 782, 2085, 2516, 269, 623, 12149, 8205, 568, 811, 1455, 538, 519, 1360, 1762, 543, 519, 1360, 2025, 269, 28298, 540, 6790, 696, 19905, 623, 12149, 8205, 324, 568, 6140, 998, 519, 3262, 540, 7929, 20256, 689, 519, 9224, 610, 5023, 540, 513, 1268, 609, 513, 13969, 25497, 5632, 3968, 610, 689, 1004, 267, 2523, 1453, 267, 945, 4163, 519, 4551, 538, 741, 31462, 1846, 1510, 1373, 2192, 269, 634, 1981, 540, 13969, 25497, 5632, 3968, 568, 1454, 2799, 538, 6375, 665, 20234, 668, 2213, 7606, 543, 666, 2014, 8650, 18980, 4345, 267, 17333, 4345, 2923, 267, 23971, 4345, 267, 11560, 3912, 601, 4345, 267, 23170, 12263, 267, 1439, 18201, 4345, 267, 829, 527, 517, 4345, 267, 543, 829, 545, 731, 4345, 269, 0, 2005, 568, 3622, 7608, 602, 2597, 2530, 814, 1082, 1713, 12214, 2640, 971, 607, 4389, 1981, 540, 1164, 1973, 2604, 543, 3987, 269, 1717, 267, 519, 2963, 547, 1489, 519, 5626, 2640, 540, 2597, 2530, 814, 711, 1044, 1134, 8268, 269, 589, 928, 10383, 958, 267, 2705, 267, 1004, 4043, 547, 1867, 789, 1745, 1732, 827, 2933, 1310, 789, 723, 4503, 2597, 543, 713, 2048, 10623, 601, 1434, 3815, 685, 1590, 711, 581, 19765, 13846, 563, 288, 2689, 540, 519, 3370, 2963, 272, 814, 1336, 602, 5171, 7152, 5812, 9283 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2553, 751, 848, 856, 21374, 1063, 9583, 20775, 4632, 267, 17766, 1007, 1769, 593, 5817, 3123, 6117, 1426, 22584, 3928, 269, 11086, 267, 6220, 1239, 12642, 5867, 883, 1426, 6351, 5752, 11942, 2963, 2861, 3375, 6194, 267, 10240, 9094, 12477, 267, 543, 533, 2314, 519, 1259, 585, 6024, 6454, 16135, 538, 6662, 14573, 2864, 982, 20932, 4805, 780, 1103, 3932, 267, 8508, 2872, 10391, 3301, 3156, 3091, 16854, 1761, 585, 14304, 1426, 6351, 3292, 543, 5009, 12581, 1569, 547, 14312, 1426, 2959, 269, 3245, 5883, 7817, 1894, 3842, 7347, 595, 5960, 338, 547, 19713, 5969, 12967, 3642, 7207, 11251, 1369, 1239, 12642, 5867, 267, 6639, 7760, 16491, 9439, 609, 3532, 2645, 5827, 540, 13321, 2729, 543, 6830, 4328, 6043, 1996, 14488, 269, 1717, 267, 3811, 6388, 3340, 6297, 7156, 540, 5683, 6286, 4478, 7834, 267, 3354, 267, 11413, 267, 543, 13784, 269, 21344, 5647, 609, 3743, 19642, 5849, 4264, 3356, 4724, 16701, 21899, 1426, 22584, 543, 14237, 14762, 2950, 8087, 538, 3838, 13884, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 2752, 12087, 4041, 1923, 8222, 281, 1015, 269, 20385, 4510, 270, 2181, 21646, 1708, 20542, 269, 271, 4200, 274, 18192, 272, 454, 20428, 281, 5398, 2657, 1656, 16195, 267, 5398, 2657, 1656, 2657, 7896, 27511, 281, 1426, 22584, 282, 1426, 1569, 282, 1426, 6351, 282, 1426, 20562, 787, 282, 590, 2793, 303, 282, 7496, 282, 1257, 5048, 282, 1344, 282, 562, 19276, 282, 23250, 282, 6304, 282, 6404, 2409, 454, 15697, 281, 476, 1704, 5239, 476, 1708, 274, 630, 1556, 281, 4649, 281, 6795, 595, 12239, 994, 15933, 22584, 568, 606, 2804, 543, 1514, 2783, 5473, 3908, 610, 7334, 1569, 547, 1426, 269, 634, 1966, 540, 1426, 22584, 538, 2950, 568, 6766, 676, 2804, 2175, 267, 1426, 24301, 267, 543, 7496, 547, 17034, 2635, 1426, 269, 15706, 7680, 1426, 22584, 1419, 22036, 21276, 2042, 540, 2883, 16132, 267, 14000, 267, 543, 4057, 2790, 543, 2168, 1072, 269, 5398, 543, 1875, 17416, 2533, 538, 519, 772, 2529, 1421, 971, 607, 519, 10480, 518, 958, 6462, 26929, 531, 12594, 26859, 5358, 630, 306, 2793, 303, 264, 543, 2146, 1426, 8492, 267, 1683, 1426, 5829, 6351, 547, 2043, 945, 616, 693, 513, 1164, 1981, 540, 7680, 1426, 22584, 269, 10251, 267, 1082, 2043, 945, 20618, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 29898, 15978, 1315, 15642, 1049, 1315, 12752, 4149, 24594, 12229, 10241, 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, 4495, 2390, 513, 942, 267, 538, 513, 1507, 4884, 3957, 853, 5300, 6807, 267, 5030, 1079, 1655, 2828, 267, 15207, 543, 8861, 269, 1358, 941, 2462, 11655, 540, 2575, 543, 6068, 1565, 827, 1114, 7405, 543, 12372, 269, 2290, 1554, 789, 1224, 513, 4241, 2376, 827, 962, 978, 342, 773, 5689, 332, 4614, 523, 267, 513, 4583, 16528, 13176, 626, 945, 729, 19486, 1851, 519, 1283, 4557, 3167, 13176, 5716, 540, 782, 942, 676, 29376, 292, 18225, 538, 476, 1220, 280, 269, 19196, 1243, 569, 267, 789, 5941, 2436, 646, 729, 2965, 2808, 519, 2608, 24030, 652, 265, 13176, 6345, 2479, 780, 20755, 3240, 1767, 267, 834, 296, 1589, 1373, 593, 602, 1592, 2306, 1864, 519, 1655, 10590, 1809, 8861, 4941, 547, 917, 811, 269, 2701, 6700, 267, 834, 4131, 781, 1265, 856, 1018, 1412, 928, 16438, 817, 673, 4496, 4730, 2511, 262, 1797, 1107, 6148, 602, 786, 948, 721, 1174, 875, 1434, 646, 2731, 568, 3010, 5445, 21503, 543, 1336, 856, 602, 683, 16438, 817, 673, 4496, 5916, 2609, 689, 8106, 2575, 543, 5230, 4496, 269, 901, 1500, 741, 8186, 18388, 609, 2055, 256, 1215, 666, 2576, 3575, 891, 9583, 6587, 6163, 286, 1548, 1131, 4755, 950, 971, 17804, 4992, 3357, 1927, 2496, 2026, 789, 8268, 2417, 267, 789, 4362, 1945, 6397, 269, 4014, 29376, 292, 18225, 1185, 8197, 3769, 5689, 332, 4614, 523, 538, 922, 20380, 1592, 267, 621, 1705, 711, 17551, 1864, 519, 6207, 2608, 12895, 29688, 5502, 267, 621, 9976, 1585, 2189, 13176, 1235, 609, 3309, 4485, 543, 15421, 269, 15207, 521, 19042, 267, 16734, 741, 3355, 13429, 7012, 1405, 7357, 4977, 269, 1717, 267, 1312, 8815, 602, 3025, 593, 519, 1592, 31251, 5689, 332, 4614, 523, 1765, 13195, 9058, 1317, 1142, 4547, 741, 1378, 23963, 14952, 748, 13144, 883, 3280, 30335, 649, 1289, 2575, 780, 1103, 519, 1439, 267, 15207, 543, 8861, 4121, 606, 1271, 3992, 281, 2760, 8263, 1919, 1510, 1697, 2963, 610, 1620, 269, 1635, 6998, 2055, 543, 5275, 4267, 267, 789, 6591, 3407, 4030, 827, 2575, 11964, 267, 7574, 5159, 267, 543, 1256, 4824, 741, 2565, 3206, 1983, 269, 6884, 938, 6788, 1522, 711, 2490, 856, 4010, 607, 9709, 267, 2943, 1169, 6602, 5012, 721, 6251, 547, 26762, 519, 13300, 540, 1148, 267, 2257, 267, 543, 1272, 3294, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 2108, 5649, 519, 1739, 5037, 543, 3313, 952, 519, 8367, 568, 3020, 1384, 312, 978, 342, 773, 2977, 534, 5689, 332, 4614, 523, 630, 6902, 4535, 700, 1513, 2977, 534, 962, 978, 557, 28469, 1676, 321, 7564, 1188, 282, 476, 1789, 4873, 476, 3422, 274, 264, 568, 513, 16528, 13176, 626, 543, 6512, 548, 14575, 269, 5689, 332, 4614, 523, 1101, 2968, 1634, 538, 519, 476, 2735, 271, 338, 585, 1010, 683, 16438, 817, 673, 4496, 4730, 2511, 538, 5230, 4496, 269, 769, 476, 1220, 280, 267, 834, 11742, 257, 12139, 15951, 5689, 332, 4614, 523, 607, 1851, 519, 476, 1015, 6574, 3167, 13176, 5716, 540, 782, 942, 780, 16521, 707, 2626, 689, 281, 630, 328, 1040, 8786, 269, 630, 4512, 1040, 898, 781, 7543, 547, 2161, 269, 630, 13839, 1040, 3143, 563, 29797, 582, 4185, 281, 5689, 332, 4614, 523, 729, 2808, 519, 6574, 13176, 6345, 2949, 676, 5384, 12139, 538, 476, 1220, 280, 563, 3721, 476, 272, 281, 10576, 519, 1883, 1344, 2016, 538, 519, 5037, 780, 268, 962, 978, 342, 773, 5689, 332, 4614, 523, 568, 513, 16528, 13176, 626, 543, 6512, 548, 14575, 563, 268, 5689, 332, 4614, 523, 568, 1634, 585, 1010, 683, 16438, 817, 673, 4496, 4730, 2511, 538, 5230, 4496, 563, 268, 769, 476, 1220, 280, 267, 5384, 12139, 15951, 5689, 332, 4614, 523, 607, 1851, 519, 476, 1015, 6574, 3167, 13176, 5716, 540, 782, 942, 780, 3721, 476, 273, 281, 14424, 519, 2016, 8367, 609, 519, 1344, 3177, 780, 29797, 582, 4185, 281, 5689, 332, 4614, 523, 729, 2808, 519, 6574, 13176, 6345, 31952, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 3848, 476, 1015, 281, 8950, 17978, 910, 4045, 532, 8625, 538, 519, 7913, 2622, 692, 1103, 2221, 781, 1158, 267, 5904, 723, 1831, 1898, 2645, 585, 2792, 267, 2069, 267, 543, 9913, 269, 1411, 1522, 1589, 540, 707, 2780, 607, 513, 2582, 3926, 602, 2337, 596, 798, 1082, 1919, 899, 4730, 3756, 267, 2870, 1148, 267, 610, 11264, 6780, 10467, 269, 1809, 1705, 596, 917, 602, 5904, 666, 849, 1921, 609, 1142, 824, 286, 901, 4276, 2636, 873, 547, 2671, 2200, 543, 5968, 14678, 256, 1452, 4296, 1063, 5904, 1106, 1018, 649, 1289, 2780, 5121, 269, 2913, 781, 4685, 883, 519, 4241, 1158, 540, 2780, 13033, 1927, 2439, 1262, 1432, 568, 513, 3060, 267, 543, 1946, 1281, 621, 2339, 15140, 288, 3060, 568, 3274, 513, 1895, 540, 10562, 3457, 1765, 28669, 619, 267, 16389, 267, 14342, 267, 3014, 931, 3421, 267, 1256, 23252, 543, 1788, 832, 256, 1879, 891, 3457, 6443, 4229, 267, 789, 5512, 721, 547, 1569, 3838, 6119, 267, 5385, 6835, 267, 1404, 3818, 16651, 3756, 267, 3381, 10004, 609, 2828, 1472, 519, 8608, 267, 543, 1454, 811, 269, 1635, 4687, 741, 7207, 267, 891, 4448, 3457, 24244, 1018, 1367, 6191, 666, 3035, 10446, 780, 5331, 2348, 1896, 11015, 4773, 16559, 827, 513, 4055, 282, 10655, 1346, 4773, 835, 693, 513, 942, 1131, 1491, 11014, 269, 1717, 267, 952, 2576, 24963, 5531, 338, 782, 519, 4773, 543, 2855, 5190, 873, 28426, 593, 513, 3349, 267, 6061, 519, 11015, 3587, 513, 1187, 543, 10319, 2534, 256, 6684, 267, 950, 5904, 1921, 538, 513, 3060, 267, 789, 9192, 741, 15421, 543, 2200, 1175, 899, 11015, 4773, 4947, 1927, 547, 948, 721, 9585, 5863, 4247, 7561, 780, 1262, 1692, 1281, 1239, 2951, 998, 5121, 15140, 2414, 1174, 875, 1239, 7575, 998, 5121, 267, 1577, 781, 1101, 1294, 1018, 2306, 909, 513, 2241, 3060, 269, 5994, 1079, 5904, 630, 2280, 781, 2012, 873, 7705, 781, 543, 7585, 781, 264, 5116, 2282, 1142, 824, 269, 1677, 1450, 7705, 781, 543, 7585, 781, 5904, 547, 2911, 547, 1142, 824, 267, 649, 991, 513, 2027, 8220, 10260, 1572, 606, 25494, 10814, 269, 4495, 726, 28289, 538, 267, 891, 15791, 3715, 1945, 1634, 607, 513, 10871, 9351, 8416, 630, 28356, 1040, 4578, 1631, 814, 513, 13374, 547, 2095, 16900, 1063, 7705, 781, 543, 7585, 781, 5904, 2439, 2691, 7705, 6499, 547, 6494, 513, 4605, 610, 5048, 547, 7585, 1210, 1200, 2780, 267, 1352, 5036, 1055, 513, 5832, 5114, 269, 3689, 267, 519, 1239, 568, 10736, 883, 6263, 21168, 5627, 11353, 540, 1344, 971, 607, 9607, 267, 5528, 267, 543, 4890, 1543, 269, 3973, 267, 1739, 513, 30966, 8905, 267, 891, 21168, 29906, 2059, 519, 25494, 10814, 2509, 7585, 781, 2780, 269, 16270, 8757, 922, 10278, 267, 1010, 3684, 556, 553, 5145, 956, 519, 21168, 1394, 883, 519, 3312, 3758, 3898, 1765, 17383, 10042, 267, 5692, 12913, 2439, 3719, 7227, 267, 972, 781, 811, 256, 6884, 9883, 949, 5094, 938, 3659, 5918, 334, 267, 1818, 1463, 9348, 1782, 791, 24411, 269, 21824, 711, 256, 1284, 666, 1869, 26595, 11397, 25097, 3842, 22453, 9351, 17978, 630, 310, 3198, 1070, 899, 519, 5769, 269, 5502, 540, 12904, 16046, 5904, 267, 5925, 6329, 4163, 6786, 1851, 1585, 13591, 13515, 1354, 6368, 12419, 519, 10475, 18535, 547, 922, 3803, 18579, 269, 1924, 2436, 5195, 6306, 610, 9361, 2427, 676, 2427, 267, 5121, 7668, 1325, 5362, 543, 7585, 338, 10876, 547, 3251, 25274, 4448, 2439, 1262, 8002, 8481, 1299, 18768, 16001, 265, 8620, 2659, 13574, 22387, 9539, 564, 1740, 17041, 4635, 25494, 27871, 267, 13622, 909, 1079, 540, 707, 1920, 781, 5904, 543, 4483, 6119, 1063, 873, 269, 15331, 609, 1114, 2010, 540, 6119, 543, 7747, 1022, 3604, 538, 4483, 11250, 780, 265, 17637, 589, 5403, 15258, 17041, 5071, 513, 2022, 15258, 15386, 1079, 30152, 2828, 9363, 4448, 3842, 513, 2647, 1858, 3060, 269, 8571, 12383, 18995, 519, 3460, 540, 1239, 21168, 10707, 936, 5318, 9883, 2394, 789, 3914, 741, 3077, 780, 31917, 3695, 267, 543, 3314, 281, 1169, 942, 596, 1921, 609, 1866, 2228, 267, 596, 2811, 10283, 538, 519, 4190, 1623, 21620, 540, 2780, 5121, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 5978, 17496, 585, 17270, 454, 2108, 27609, 532, 938, 10453, 585, 519, 3059, 1158, 282, 30196, 519, 1761, 7536, 4263, 853, 29366, 779, 267, 649, 2832, 547, 1683, 513, 17270, 6437, 602, 786, 16491, 938, 10453, 609, 519, 1702, 543, 1620, 547, 7119, 538, 513, 6385, 4657, 1158, 1141, 960, 543, 16837, 2238, 616 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 17859, 540, 519, 3237, 685, 2078, 4567, 267, 519, 8561, 568, 593, 8716, 1312, 3237, 547, 1491, 606, 3742, 851, 538, 741, 1126, 779, 1646, 269, 901, 1900, 2509, 7862, 2369, 2478, 519, 5383, 540, 519, 4819, 3384, 2178, 7554, 609, 1312, 3237, 563, 9377, 3539, 13834, 853, 699, 8040, 454, 763, 3661, 602, 31908, 1058, 723, 3152, 2924, 982, 18971, 814, 30174, 13840, 593, 519, 12406, 602, 11299, 1118, 1732, 1416, 3464, 269, 901, 10206, 267, 2705, 267, 23304, 1841, 519, 3099, 540, 1983, 543, 7221, 602, 1004, 723, 269, 769, 1931, 547, 1711, 513, 4023, 543, 3160, 1604, 585, 1312, 3237, 543, 1453, 267, 621, 568, 1898, 547, 4161, 891, 4008, 26608, 8526, 563, 21609, 779, 7454, 9314, 338, 268, 634, 5177, 1920, 1876, 1062, 4025, 519, 1126, 779, 1655, 4690, 1101, 538, 782, 2665, 5473, 1453, 269, 901, 10522, 602, 5079, 827, 15366, 5107, 267, 9683, 2924, 267, 543, 26692, 1590, 581, 1500, 609, 519, 1126, 779, 2168, 267, 3929, 267, 543, 2790, 8171, 538, 2247, 269, 5502, 540, 12797, 532, 835, 2385, 936, 519, 824, 1759, 593, 741, 4008, 267, 519, 8561, 568, 593, 4466, 519, 11460, 602, 568, 1034, 6225, 547, 519, 1126, 563, 21122, 531, 23680, 543, 26321, 31621, 268, 634, 5177, 814, 1500, 16854, 3356, 538, 5009, 15366, 4734, 543, 3160, 7694, 8458, 269, 9024, 328, 2510, 899, 3838, 15366, 4734, 543, 8465, 960, 16131, 948, 1312, 31908, 543, 546, 6758, 1732, 5104, 24327, 741, 11678, 543, 15970, 11645, 269, 901, 4640, 19758, 909, 519, 10206, 602, 15970, 568, 513, 3838, 4305, 602, 568, 711, 3908, 547, 513, 1978, 4008, 2990, 563, 763, 12705, 602, 2021, 538, 519, 5177, 723, 3152, 2924, 982, 18971, 568, 7294, 267, 607, 568, 519, 2243, 540, 18971, 685, 2924, 952, 789, 616, 3957, 593, 519, 4332, 15149, 269, 2755, 2348, 519, 2165, 968, 15289, 892, 593, 519, 4332, 15149, 1476, 619, 930, 2924, 543, 13800, 593, 18971, 267, 621, 1281, 711, 8850, 1303, 1856, 873, 547, 3160, 2126, 538, 782, 18125, 540, 15970, 269, 769, 1931, 547, 6536, 606, 5790, 1141, 1312, 3237, 616, 8362, 7722, 538, 741, 1126, 779, 1646, 267, 519, 5177, 3656, 1062, 4025, 513, 2178, 8561, 593, 3838, 15366, 5539, 269, 769, 1931, 547, 3035, 9758, 7862, 1851, 3237, 607, 649, 979, 4464, 267, 621, 568, 1898, 547, 13720, 3964, 4008, 8155, 543, 26608, 8526, 269, 0, 1607, 8666, 666, 581, 1336, 538, 519, 1699, 3390, 267, 18584, 5412, 476, 1626, 267, 476, 1708, 273, 267, 540, 4317, 13231, 625, 325, 1251, 1749, 2593, 538, 606, 2376, 7713, 519, 4644, 540, 15656, 5651, 572, 779, 8798, 540, 519, 751, 25393, 269, 1261, 729, 9783, 513, 14664, 538, 476, 7277, 271, 585, 1010, 3312, 1374, 799, 5654, 3833, 1114, 689, 519, 835, 3254, 2630, 602, 729, 4440, 538, 946, 676, 519, 476, 6942, 271, 338, 563, 5938, 25393, 1883, 543, 6204, 837, 267, 5375, 11272, 19007, 3213, 1421, 9628, 267, 2235, 320, 476, 6942, 277, 267, 16855, 8466, 7467, 454, 6637, 476, 736, 1107, 28982, 751, 25393, 267, 1434, 25742, 623, 3415, 18124, 454, 763, 8798, 540, 519, 751, 25393, 13497, 4957, 519, 7399, 585, 14379, 538, 3013, 269, 634, 5393, 1279, 9883, 1063, 519, 7532, 5032, 543, 519, 7178, 1500, 5329, 538, 5905, 1360, 2352, 269, 901, 729, 4824, 676, 519, 4417, 540, 519, 623, 3415, 18124, 267, 855, 519, 623, 3415, 18124, 729, 3533, 1500, 28572, 676, 519, 4417, 540, 519, 751, 25393, 269, 1635, 519, 942, 1974, 13269, 538, 9697, 779, 595, 12522, 267, 15656, 5651, 572, 779, 12381, 547, 519, 3105, 946, 540, 5201, 547, 4483, 1344, 676, 5911, 2968, 519, 1007, 2085, 540, 2792, 267, 14123, 513, 6376, 539, 569, 4824, 1505, 540, 14379, 936, 519, 5318, 9883, 1336, 538, 3013, 563, 1103, 519, 2038, 476, 5197, 271, 338, 267, 2274, 641, 1245, 334, 12321, 8270, 11827, 519, 8330, 1738, 8895, 7079, 10309, 267, 606, 6293, 602, 1223, 2268, 7648, 538, 5122, 18993, 3827, 269, 898, 729, 513, 31317, 540, 519, 751, 25393, 269, 13536, 18563, 1210, 8938, 29350, 5122, 3515, 941, 11827, 547, 10141, 11397, 6786, 855, 9863, 1932, 804, 636, 1910, 585, 4052, 946, 563, 1103, 476, 7277, 274, 519, 1977, 2229, 1710, 2331, 519, 4070, 540, 519, 1101, 751, 25393, 545, 10618, 1062, 2919, 676, 15656, 5651, 572, 269, 901, 1062, 1031, 1152, 835, 5911, 267, 543, 519, 946, 540, 1010, 3009, 4847, 4052, 2792, 1063, 811, 11397, 2798, 585, 519, 1101, 942, 269, 634, 16456, 338, 1500, 12417, 547, 3888, 751, 25393, 3515, 2059, 782, 741, 11507, 269, 4595, 3084, 942, 10851, 14201, 1406, 8815, 2390, 2394, 476, 4489, 279, 267, 16456, 3549, 8246, 519, 751, 25393, 547, 11282, 7841, 6808, 269, 901, 729, 1898, 2094, 3592, 782, 16456, 3515, 941, 2582, 13475, 8383, 908, 6808, 538, 1312, 8846, 269, 634, 751, 25393, 4166, 849, 2968, 513, 1907, 585, 4213, 547, 2932, 4123, 936, 1279, 9883, 269, 4438, 519, 6406, 2782, 267, 12493, 1031, 751, 25393, 547, 1832, 909, 609, 519, 1585, 12959, 543, 5968, 2047, 609, 1010, 1252, 1023, 563, 763, 751, 25393, 2322, 519, 623, 3415, 18124, 856, 540, 1870, 269, 769, 519, 4571, 268, 866, 628, 2540, 267, 13875, 936, 1633, 676, 3942, 16455, 3576, 8938, 19317, 2395, 547, 3914, 4993, 610, 3275, 676, 6928, 269, 634, 623, 3415, 18124, 1185, 606, 3328, 6765, 942, 540, 1175, 4557, 2395, 269, 769, 4728, 540, 476, 5908, 272, 267, 14062, 12493, 779, 22305, 1116, 2232, 729, 9447, 689, 27228, 547, 4993, 538, 5722, 2395, 543, 11157, 8696, 3108, 676, 623, 3415, 18124, 269, 6736, 713, 11141, 9740, 267, 519, 623, 3415, 18124, 1152, 16768, 513, 1032, 543, 513, 3368, 1354, 2469, 22625, 269, 1879, 5375, 5742, 6192, 519, 1098, 11666, 1581, 751, 25393, 1899, 538, 17865, 8235, 4975, 538, 5239, 540, 476, 5908, 272, 267, 519, 623, 3415, 18124, 30403, 3028, 1079, 2395, 2663, 269, 769, 519, 562, 31106, 3275, 540, 922, 6228, 267, 623, 3415, 18124, 26348, 1185, 9447, 5176, 476, 3374, 267, 1822, 4773, 540, 13875, 454, 258, 292, 14410, 305, 1442, 307, 22567, 9609, 267, 1948, 305, 8712, 27839, 582, 974, 12041, 267, 1948, 310, 3480, 293, 3224, 1512, 267, 1948, 23208, 293, 2109, 267, 1948, 21579, 3241, 5651, 572, 267, 1948, 5938, 25393, 267, 1948, 303, 3415, 18124, 563, 14188, 596, 585, 707, 1489, 269, 0, 23458, 2360, 593, 7553, 6284, 538, 2937, 19700, 454, 331, 4833, 267, 7553, 6284, 454, 1103, 606, 5051, 18371, 2486, 267, 8226, 543, 1620, 540, 4664, 6829, 676, 2911, 619, 2066, 1114, 4654, 616, 1271, 585, 6209, 543, 2500, 1514, 2792, 269, 634, 3483, 540, 713, 1353, 568, 547, 4983, 1893, 2360, 593, 19700, 685, 2702, 547, 5431, 4664, 267, 4481, 538, 2043, 945, 3717, 2296, 607, 741, 1101, 1893, 269, 16989, 5171, 19557, 547, 5220, 9275, 538, 2296, 543, 962, 528, 383, 373, 321, 5451, 543, 4857, 2436, 519, 2911, 518, 729, 6126, 267, 8909, 267, 14220, 267, 610, 9243, 269, 570, 4689, 4654, 971, 607, 962, 528, 383, 373, 321, 5451, 616, 6353, 676, 811, 13065, 538, 12334, 3379, 547, 2566, 2861, 4654, 971, 607, 2296, 269, 4475, 267, 649, 10567, 602, 2937, 5171, 4171, 1101, 1893, 568, 2296, 786, 723, 811, 7411, 9301, 4664, 538, 962, 528, 383, 373, 321, 5451, 982, 538, 2296, 269, 634, 4681, 540, 713, 1353, 786, 723, 6286, 538, 9750, 938, 1702, 827, 519, 8226, 540, 4664, 538, 1114, 1893, 8658, 269, 898, 786, 849, 948, 721, 1174, 1893, 2360, 593, 7553, 6284, 538, 824, 2027, 5095, 267, 1519, 1453, 12936, 676, 6217, 2530, 563, 15430, 5034, 593, 4989, 476, 736, 267, 476, 1708, 274, 693, 9906, 3194, 4303, 4371, 693, 5839, 292, 9774, 2160, 538, 3798, 3000, 2023, 267, 22598, 563, 5472, 7126, 27616, 0, 763, 8895, 21329, 27625, 1062, 4249, 513, 4105, 1909, 538, 519, 12775, 540, 1973, 689, 4514, 2694, 540, 519, 2634, 269, 901, 27625, 1062, 568, 8329, 676, 1082, 2101, 15532, 269, 1452, 15532, 616, 4092, 6251, 547, 519, 12566, 531, 14189, 1818, 519, 10551, 1935, 538, 713, 3148, 2352, 269, 7102, 23139, 5945, 610, 29473, 2424, 540, 519, 18916, 540, 8895, 523, 1223, 1291, 547, 1821, 8463, 2164, 269, 4935, 267, 4974, 519, 7516, 540, 519, 18916, 540, 8895, 523, 568, 811, 1271, 269, 9747, 267, 649, 6322, 547, 6218, 519, 10641, 5852, 543, 18330, 547, 519, 18916, 540, 8895, 523, 269, 6168, 476, 1911, 17223, 9723, 4919, 9006, 2762, 5638, 941, 11117, 543, 519, 3259, 267, 8006, 540, 18916, 540, 8895, 523, 267, 5086, 1063, 2786, 18980, 543, 18916, 540, 8895, 523, 543, 3845, 689, 4835, 1624, 760, 1388, 1486, 21310, 766, 543, 8122, 540, 8772, 28602, 548, 547, 18916, 540, 8895, 523, 941, 6594, 269, 634, 1611, 3259, 543, 8006, 540, 18916, 540, 8895, 523, 941, 476, 280, 269, 279, 22144, 273, 269, 278, 543, 476, 275, 269, 5400, 22144, 272, 269, 6860, 6606, 269, 634, 1611, 5086, 1063, 2786, 18980, 543, 18916, 540, 8895, 523, 729, 476, 5038, 269, 273, 4113, 269, 634, 1611, 3845, 1063, 5007, 1624, 760, 1388, 1486, 21310, 766, 543, 8122, 540, 8772, 28602, 548, 547, 18916, 540, 8895, 523, 941, 476, 7367, 22144, 277, 269, 280, 543, 476, 3451, 269, 274, 22144, 275, 269, 276, 6606, 269, 3143, 1713, 10641, 6248, 3604, 941, 4767, 1063, 519, 2085, 2516, 607, 1134, 607, 1063, 519, 3023, 338, 269, 634, 2164, 5833, 689, 713, 1353, 949, 581, 5363, 585, 519, 5778, 338, 25973, 976, 538, 1732, 1620, 540, 519, 14169, 540, 519, 8895, 21329, 27625, 1062, 543, 547, 9772, 513, 2922, 10551, 1935, 547, 2087, 519, 12117, 540, 519, 23361, 540, 519, 12566, 531, 14189, 543, 849, 538, 519, 3148, 540, 18916, 540, 8895, 523, 563, 29605, 543, 10613, 454, 18183, 26555, 540, 9314, 0, 3963, 1684, 4658, 12532, 2060, 4256, 32243, 4934, 454, 310, 22736, 568, 513, 4909, 1480, 2534, 602, 1034, 540, 721, 798, 1510, 1256, 3206, 827, 621, 269, 1717, 267, 723, 596, 2479, 8068, 602, 930, 1004, 723, 513, 2189, 1259, 540, 6972, 609, 741, 3952, 5828, 856, 2072, 286, 901, 15116, 32376, 4806, 267, 1634, 607, 968, 1729, 4370, 13050, 892, 610, 968, 19769, 532, 609, 3952, 856, 2223, 12651, 513, 4241, 2243, 281, 1946, 798, 1004, 3802, 713, 1259, 286, 769, 713, 2376, 267, 649, 786, 2263, 519, 4128, 3297, 713, 6972, 2511, 543, 7006, 601, 930, 1455, 20887, 2404, 609, 621, 563, 763, 22845, 540, 1677, 324, 268, 11073, 29303, 454, 6524, 18167, 883, 519, 4128, 267, 621, 568, 1271, 547, 1174, 519, 14169, 3297, 23179, 13050, 6972, 269, 29303, 568, 513, 1950, 1184, 602, 3322, 11558, 1063, 1585, 6091, 267, 10549, 267, 543, 7633, 269, 634, 12972, 540, 519, 25637, 267, 19704, 267, 543, 3952, 4249, 513, 2629, 1909, 538, 8159, 835, 779, 6972, 2511, 563, 2691, 513, 1268, 15211, 609, 741, 3952, 856, 267, 621, 1797, 602, 741, 19462, 1448, 2476, 689, 519, 4571, 1467, 540, 741, 1560, 269, 901, 2164, 538, 513, 32376, 4806, 1141, 1142, 3723, 3338, 593, 519, 2666, 609, 606, 21286, 10047, 269, 634, 4110, 540, 547, 4370, 13050, 666, 4268, 1851, 2043, 267, 609, 930, 2348, 513, 811, 14733, 10047, 982, 1866, 563, 3725, 3517, 585, 1677, 324, 268, 11073, 29303, 454, 272, 269, 7849, 29938, 281, 1677, 324, 13050, 6972, 666, 3274, 581, 513, 2067, 8390, 538, 875, 938, 4703, 616, 3710, 269, 3807, 899, 930, 1004, 723, 6923, 1225, 569, 4552, 610, 513, 2189, 3750, 2681, 267, 547, 4370, 13050, 666, 581, 606, 7915, 8984, 563, 273, 269, 23305, 2806, 7538, 885, 281, 769, 930, 2665, 267, 23179, 13050, 6972, 666, 581, 513, 1267, 540, 7293, 17244, 538, 519, 7633, 610, 10549, 269, 17148, 971, 607, 12048, 7988, 25936, 610, 3185, 7394, 512, 832, 542, 666, 2014, 519, 3952, 547, 6923, 2490, 856, 2072, 563, 274, 269, 3281, 18730, 11115, 1143, 281, 1677, 324, 13050, 6972, 666, 849, 581, 513, 9104, 2218, 7271, 547, 13468, 9636, 610, 1928, 538, 824, 2694, 540, 519, 1560, 269, 898, 666, 948, 2043, 23799, 25572, 519, 4452, 543, 2569, 2566, 593, 1808, 10549, 610, 6091, 563, 275, 269, 26298, 1955, 4472, 1734, 281, 31808, 1145, 610, 20817, 538, 1978, 6091, 666, 3565, 547, 23179, 13050, 6972, 269, 1280, 3236, 267, 9395, 1145, 538, 519, 12048, 5007, 4232, 2209, 610, 18604, 12048, 705, 2265, 832, 666, 2014, 519, 3952, 547, 2490, 856, 2072, 563, 276, 269, 13206, 3770, 23694, 281, 1677 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 476, 272, 269, 2412, 645, 630, 271, 269, 866, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 279, 285, 692, 24257, 585, 562, 538, 15044, 263, 295, 2187, 825, 1820, 1412, 260, 273, 323, 4939, 280, 269, 273, 325, 631, 630, 260, 277, 269, 274, 325, 260, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 260, 323, 285, 4939, 323, 262, 4939, 630, 333, 267, 670, 19559, 316, 270, 272, 324, 277, 267, 670, 19559, 30297, 1911, 32220, 13585, 267, 670, 19559, 30297, 4968, 271, 32220, 13585, 267, 562, 994, 1862, 3097, 476, 272, 476, 476, 23417, 4905, 269, 2420, 631, 630, 476, 273, 269, 4200, 279, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 8660, 285, 476, 272, 454, 476, 273, 476, 14530, 27840, 269, 5952, 631, 630, 1704, 269, 4792, 272, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 276, 3066, 285, 476, 273, 454, 476, 274, 476, 13923, 6321, 279, 269, 4343, 631, 630, 736, 269, 276, 1556, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 277, 1428, 285, 476, 274, 454, 476, 275, 476, 11820, 280, 6434, 269, 3451, 631, 630, 1691, 269, 4281, 278, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 4510, 274, 285, 476, 275, 454, 476, 276, 476, 476, 278, 4817, 8660, 269, 3953, 631, 630, 1015, 269, 10384, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 17168, 285, 476, 276, 454, 476, 277, 476, 476, 277, 2537, 11011, 269, 2641, 631, 630, 476, 279, 269, 4343, 279, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 25172, 285, 476, 277, 454, 476, 278, 476, 476, 276, 3445, 7367, 269, 5780, 631, 630, 476, 278, 269, 280, 4375, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 24487, 285, 476, 278, 454, 476, 279, 476, 476, 4510, 273, 5881, 269, 3066, 631, 630, 476, 276, 269, 280, 6246, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 9965, 285, 476, 279, 454, 476, 280, 476, 476, 20065, 6187, 269, 11152, 631, 630, 476, 275, 269, 275, 4391, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 15836, 285, 476, 280, 454, 1015, 476, 476, 25248, 10695, 269, 10019, 631, 630, 476, 274, 269, 5881, 277, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 10844, 285, 476, 1015, 454, 1556, 476, 476, 9873, 7176, 269, 6187, 631, 630, 476, 272, 269, 278, 8618, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 7367, 285, 476, 1556, 454, 1321, 567, 476, 278, 1321, 275, 269, 1428, 631, 630, 476, 271, 269, 4817, 279, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 2764, 285, 476, 1321, 454, 1724, 567, 476, 4343, 276, 271, 269, 6812, 631, 630, 476, 271, 269, 276, 1240, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 1428, 285, 476, 1724, 454, 1691, 567, 476, 13679, 274, 269, 5400, 631, 630, 476, 271, 269, 19442, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 277, 285, 476, 1691, 454, 1428, 825, 476, 276, 4792, 269, 2190, 631, 630, 476, 271, 269, 5881, 277, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 273, 285, 476, 1428, 454, 1626, 825, 476, 14681, 269, 2420, 631, 630, 476, 271, 269, 22903, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 271, 285, 476, 1626, 454, 1704, 672, 476, 7761, 269, 10037, 631, 630, 476, 271, 269, 18089, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 271, 285, 476, 1704, 454, 1240, 672, 476, 2764, 269, 7830, 631, 630, 476, 271, 269, 21916, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 271, 285, 476, 1240, 454, 866, 8587, 476, 279, 269, 7906, 631, 630, 476, 271, 269, 9826, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 271, 285, 476, 866, 454, 736, 8587, 476, 277, 269, 3374, 631, 630, 476, 271, 269, 9826, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 271, 285, 476, 736, 454, 2641, 8587, 476, 271, 269, 1724, 631, 630, 476, 271, 269, 1822, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 271, 285, 476, 2641, 454, 2420, 8587, 476, 271, 269, 10037, 631, 630, 476, 271, 269, 1822, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 271, 285, 476, 2420, 454, 2537, 8587, 476, 271, 269, 3953, 631, 630, 476, 271, 269, 1822, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 271, 285, 476, 2537, 692, 24257, 715, 299, 815, 2040, 263, 9448, 269, 11161, 31156, 24257, 585, 700, 538, 15044, 263, 9448, 267, 1883, 284, 14433, 700, 281, 910, 9448, 314, 299, 316, 2187, 825, 1820, 1412, 260, 338, 4939, 279, 269, 272, 325, 645, 630, 260, 276, 269, 273, 325, 260, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 260, 323, 285, 262, 4939, 630, 299, 267, 31446, 314, 299, 316, 270, 272, 324, 280, 267, 31446, 314, 299, 30297, 1911, 32220, 301, 299, 267, 31446, 314, 299, 30297, 4968, 271, 32220, 301, 299, 994, 2483, 292, 825, 476, 275, 3393, 269, 273, 645, 630, 1321, 269, 5392, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 4391, 275, 11417, 307, 825, 476, 20065, 269, 276, 645, 630, 476, 280, 269, 2764, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 30116, 11417, 288, 825, 476, 30525, 269, 276, 645, 630, 476, 279, 269, 6860, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 25240, 11417, 302, 825, 476, 26604, 269, 274, 645, 630, 476, 278, 269, 5038, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 26631, 11417, 296, 825, 476, 29483, 269, 278, 645, 630, 476, 278, 269, 6872, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 25375, 11417, 301, 825, 476, 27038, 269, 279, 645, 630, 476, 278, 269, 2537, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 24241, 11417, 306, 825, 476, 22446, 269, 272, 645, 630, 476, 277, 269, 7906, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 4198, 11417, 305, 825, 476, 23417, 269, 279, 645, 630, 476, 277, 269, 2764, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 6642, 11417, 295, 825, 476, 5197, 269, 272, 645, 630, 476, 276, 269, 4962, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 14681, 11417, 299, 825, 476, 13970, 269, 271, 645, 630, 476, 275, 269, 5881, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 14338, 11417, 291, 825, 476, 15793, 269, 271, 645, 630, 476, 274, 269, 11025, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 14625, 11417, 290, 825, 476, 15686, 269, 273, 645, 630, 476, 274, 269, 4097, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 1911, 11417, 308, 672, 476, 9032, 269, 274, 645, 630, 476, 273, 269, 10463, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 10037, 11417, 300, 672, 476, 8660, 269, 276, 645, 630, 476, 273, 269, 7906, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 4037, 11417, 293, 672, 476, 5952, 269, 277, 645, 630, 476, 273, 269, 2412, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 7761, 11417, 303, 672, 476, 10602, 269, 272, 645, 630, 476, 273, 269, 1691, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 5038, 11417, 294, 672, 476, 5780, 269, 277, 645, 630, 476, 272, 269, 9262, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 6321, 11417, 310, 672, 476, 6795, 269, 278, 645, 630, 476, 272, 269, 6924, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 2004, 11417, 312, 672, 476, 6795, 269, 274, 645, 630, 476, 272, 269, 5780, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 5392, 11417, 289, 672, 476, 7367, 269, 280, 645, 630, 476, 272, 269, 4366, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 4510, 11417, 309, 672, 476, 4391, 269, 276, 645, 630, 476, 272, 269, 4962, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 4029, 11417, 298, 672, 476, 866, 269, 274, 645, 630, 476, 271, 269, 7918, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 1626, 11417, 311, 8587, 476, 279, 269, 275, 645, 630, 476, 271, 269, 2537, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 278, 11417, 297, 8587, 476, 276, 269, 278, 645, 630, 476, 271, 269, 1626, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 275, 11417, 304, 8587, 476, 275, 269, 274, 645, 630, 476, 271, 269, 1321, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 274, 11417, 313, 8587, 476, 274, 269, 273, 645, 630, 476, 271, 269, 6021, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 273, 285, 692, 24257, 667, 273, 815, 562, 13559, 12248, 20573, 267, 476, 273, 2020, 24257, 585, 23356, 538, 15044, 20573, 273, 267, 1883, 284, 14433, 700, 281, 910, 291, 273, 314, 299, 8079, 11468, 2004, 13912, 1820, 1412, 260, 338, 4939, 279, 269, 272, 325, 645, 630, 260, 276, 269, 273, 325, 260, 8472, 2999, 19112, 521, 21683, 6889, 334, 27970, 257, 4463, 284, 1321, 8700, 284, 260, 323, 285, 262, 4939, 630, 978, 267, 667, 273, 314, 978, 316, 270, 272, 324, 280, 267, 667, 273, 314, 978, 30297, 1911, 32220, 301, 273, 267, 667, 273, 314, 978, 30297, 5611, 876, 32220, 301, 273, 2020, 3698, 798, 527, 17347, 284, 1839, 2187, 825, 12523, 815, 1496, 338, 9285, 2421, 263, 978, 1090, 12248, 20573, 267, 562, 4297, 11468, 330, 316, 585, 562, 538, 2039, 263, 273, 267, 476, 1015, 22708, 825, 585, 1775, 538, 2039, 17347, 2187, 1038, 1820, 18011, 672, 29717, 21860, 6262, 870, 5157, 316, 585, 1293, 538, 12523, 26895, 12294, 4590, 12163, 0, 5814, 4351, 454, 5814, 10070, 3097, 5814, 621, 1068, 8962, 8528, 12163, 29228, 540, 5590, 3546, 630, 30681, 7439, 341, 580, 476, 1001, 271, 268, 1001, 276, 2020, 1692, 1419, 798, 5036, 2408, 950, 649, 4308, 606, 5044, 540, 6486, 888, 1692, 1419, 538, 519, 1576, 540, 4730, 856, 519, 3014, 2496, 2080, 616, 519, 1239, 2010, 649, 786, 946, 1384, 825, 3556, 281, 825, 589, 5569, 267, 971, 607, 1412, 274, 305, 284, 271, 3299, 2495, 834, 22764, 2699, 4174, 6244, 9065, 1023, 8487, 825, 16064, 281, 825, 589, 1592, 540, 6486, 267, 7620, 540, 3259, 476, 10037, 563, 825, 11768, 281, 476, 589, 1592, 540, 6486, 267, 7620, 540, 3259, 476, 1321, 563, 825, 1305, 281, 672, 589, 24042, 540, 476, 274, 6486, 563, 825, 30460, 625, 281, 589, 9598, 281, 2715, 1321, 281, 2715, 12148, 281, 476, 3451, 267, 8771, 281, 476, 272, 3686, 348, 1797, 513, 11768, 540, 2450, 476, 1321, 454, 17264, 7381, 1221, 476, 3451, 5036, 543, 476, 272, 1875, 1606, 564, 563, 20701, 2971, 21998, 267, 7231, 6486, 267, 543, 10747, 519, 10206, 540, 5036, 780, 290, 2752, 9169, 815, 1496, 15893, 1341, 2681, 1341, 12094, 1341, 3090, 3097, 1363 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 21281, 268, 14813, 4310, 28690, 910, 589, 7073, 3828, 626, 593, 9147, 30094, 720, 692, 296, 269, 4985, 692, 5938, 320, 814, 1044, 513, 2442, 20892, 585, 5215, 540, 1296, 267, 609, 922, 8129, 6580, 1394, 547, 3504, 3624, 269, 4653, 267, 7401, 4616, 5170, 547, 4473, 5001, 1813, 547, 922, 3875, 1072, 2640, 543, 17545, 269, 30459, 7401, 883, 11477, 13144, 4422, 3564, 2757, 28823, 2409, 282, 621, 12857, 2189, 10366, 543, 9422, 5383, 547, 1585, 8286, 269, 901, 3184, 12538, 883, 519, 1148, 540, 7401, 19899, 4310, 11951, 1247, 10223, 2067, 1426, 3681, 543, 1732, 16519, 3917, 537, 5820, 269, 1284, 786, 2263, 875, 713, 6932, 7678, 20383, 609, 1699, 7082, 7375, 2509, 6198, 267, 2030, 2861, 267, 543, 13533, 4189, 5079, 780, 2862, 269, 4197, 21281, 7352, 7724, 543, 4256, 4469, 2948, 4515, 3796, 692, 6524, 11362, 883, 7401, 19899, 4310, 10346, 267, 1577, 721, 1101, 4983, 1114, 2010, 540, 29225, 543, 741, 3982, 8137, 12632, 269, 634, 3119, 6688, 540, 7401, 1331, 3043, 267, 3039, 267, 522, 565, 784, 267, 3109, 267, 543, 16909, 29225, 269, 3962, 1826, 25457, 8795, 5232, 540, 12444, 1436, 1282, 4393, 267, 4611, 538, 3309, 6492, 2833, 8151, 689, 10347, 543, 6371, 344, 547, 7347, 543, 4731, 1399, 4967, 269, 1635, 5432, 1944, 3054, 609, 891, 16082, 267, 596, 666, 3927, 6292, 1808, 29225, 609, 14911, 5820, 267, 7393, 2949, 10444, 9029, 780, 7656, 269, 2657, 11588, 23105, 609, 21281, 29283, 692, 22137, 1397, 602, 2834, 7401, 4616, 949, 3565, 547, 4824, 9025, 1072, 267, 2597, 2359, 267, 2566, 5786, 267, 543, 2799, 2790, 10332, 1145, 269, 1452, 2318, 2360, 6565, 5097, 689, 7401, 781, 3638, 15934, 3601, 267, 25168, 1156, 11169, 267, 524, 622, 577, 1231, 267, 543, 11254, 7408, 899, 700, 7308, 29516, 269, 1879, 1102, 6748, 29225, 883, 707, 5986, 27132, 267, 2015, 16107, 891, 7915, 7907, 547, 1711, 8286, 5009, 8171, 543, 3666, 780, 4353, 269, 26943, 2435, 10241, 540, 21281, 5606, 4288, 692, 288, 269, 27804, 1186, 1299, 7935, 2195, 692, 4504, 18166, 7401, 607, 513, 3490, 5277, 585, 27130, 543, 2156, 2195, 2488, 11029, 19804, 9564, 896, 2023, 525, 1510, 4946, 7050, 9770, 610, 5841, 10366, 269, 1280, 3236, 267, 6220, 3039, 7401, 883, 513, 3765, 334, 17339, 11600, 791, 11301, 3606, 14434, 1247, 6173, 908, 519, 8670, 781, 3618, 344, 9043, 269, 6684, 267, 1210, 669, 2967, 17898, 5367, 887, 334, 756, 657, 7401, 3079, 540, 1216, 585, 21378, 559, 27130, 8591, 14246, 543, 6988, 780, 289, 269, 28397, 806, 1299, 3057, 514, 3547, 692, 11321, 11538, 7401, 609, 15755, 3334, 971, 607, 16693, 610, 20521, 10433, 5932, 6422, 14036, 20214, 4998, 585, 10571, 902, 267, 18138, 27156, 267, 610, 2261, 514, 3547, 269, 6333, 16471, 795, 11047, 710, 7401, 609, 7573, 9174, 16693, 267, 20909, 267, 13342, 267, 543, 13386, 14036, 585, 606, 7489, 30816, 642, 2088, 580, 4958, 974, 269, 17968, 267, 2119, 1102, 6748, 3109, 7401, 883, 536, 1023, 25271, 5786, 585, 606, 6397, 6335, 593, 5929, 2848, 752, 2261, 514, 1228, 780, 290, 269, 645, 1136, 1299, 12815, 787, 10241, 692, 28885, 32314, 7401, 3762, 883, 3819, 12146, 23399, 2636, 585, 15774, 5610, 1369, 10627, 1562, 543, 14859, 338, 269, 26969, 320, 3039, 7401, 267, 585, 1383, 267, 561, 1742, 3294, 18991, 547, 3943, 5672, 541, 976, 267, 2110, 30103, 12897, 267, 610, 1256, 29902, 521, 935, 525, 269, 3958, 267, 23778, 27578, 7401, 8424, 24215, 1134, 609, 4158, 10217, 1476, 30708, 1107, 1589, 1854, 742, 956, 610, 544, 28907, 1107, 5356, 16990, 15280, 4967, 17804, 519, 29284, 540, 23342, 17571, 780, 291, 269, 30094, 1137, 692, 22091, 21505, 3564, 6671, 3905, 7401, 7041, 10741, 909, 11995, 7399, 585, 13167, 5499, 1875, 17038, 4022, 545, 543, 23931, 16098, 269, 10812, 9256, 4411, 1532, 4319, 539, 29225, 609, 4195, 5613, 267, 27386, 338, 267, 610, 31394, 7297, 585, 24253, 838, 761, 345, 619, 610, 989, 340, 553, 23906, 322, 553, 269, 5047, 267, 4603, 609, 7401, 19899, 4310, 15483, 339, 5661, 676, 2655, 23082, 2241, 861, 745, 1186, 609, 9932, 1606, 11548, 2989, 7401, 30211, 610, 9001, 28655, 29225, 547, 1039, 3178, 543, 1915, 547, 22090, 4486, 2861, 5391, 725, 780, 309, 269, 10390, 692, 21615, 571, 1424, 7401, 19899, 4310, 11951, 6087, 22730, 543, 1753, 29397, 7567, 547, 7148, 883, 513, 5318, 5044, 540, 10366, 543, 1072, 2640, 2404, 609, 713, 15851, 20892, 269, 1306, 6800, 3136, 5275, 856, 2973, 6003, 267, 2030, 268, 3453, 267, 543, 11455, 18226, 2833, 267, 10128, 7401, 883, 4948, 6980, 3587, 5051, 4143, 543, 13267, 269, 3414, 6857, 13345, 540, 1164, 7779, 7401, 8677, 543, 6427, 633, 3156, 267, 596, 1932, 666, 3565, 547, 713, 24567, 3350, 14120, 1312, 8819, 1258, 13929, 12257, 543, 14312, 2713, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 5978, 5993, 5180, 1575, 540, 519, 1655, 10685, 1587, 31782, 540, 519, 2250, 1032, 3091, 606, 25819, 540, 23602, 689, 782, 2694, 540, 519, 513, 529, 956, 563, 2005, 781, 602, 942, 1586, 267, 950, 28626, 23108, 1356, 781, 19023, 15769, 267, 29211, 676, 513, 20314, 550, 540, 11235, 512, 7539, 693, 938, 14948, 4975, 267, 715, 12282, 1421, 5604, 1765, 1278, 3772, 1634, 607, 1715, 8605, 6239, 1765, 1326, 547, 3732, 513, 3376, 5542, 540, 519, 8645, 540, 519, 10685, 1587, 7693, 563, 3719, 5103, 782, 540, 519, 1187, 649, 1185, 4155, 2389, 20535, 865, 1082, 1390, 3688, 267, 519, 1184, 540, 32560, 1524, 519, 3803, 23602, 729, 1100, 2653, 4305, 267, 2016, 519, 6297, 18064, 3130, 649, 4294, 547, 519, 1082, 9867, 13366, 602, 3357, 938, 1259, 563, 2026, 2141, 267, 711, 782, 2472, 1500, 519, 2759, 267, 855, 585, 519, 3903, 3283, 602, 1705, 267, 513, 1906, 29810, 3466, 1851, 5063, 5950, 2472, 11593, 7153, 563, 289, 21392, 16519, 3917, 537, 3536, 267, 1519, 1346, 13389, 971, 7463, 22097, 607, 15347, 6954, 267, 616, 1631, 811, 13416, 982, 2479, 267, 609, 741, 2635, 10300, 334, 711, 782, 19774, 676, 606, 17697, 630, 663, 1034, 10950, 264, 12402, 4724, 18656, 10885, 269, 11569, 267, 646, 320, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 2910, 19170, 1315, 16930, 23123, 1315, 7849, 16639, 1315, 21281, 268, 14813, 4310, 28690, 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, 26426, 20400, 568, 513, 3532, 8579, 4480, 1031, 538, 6530, 543, 824, 4610, 547, 30075, 543, 17412, 519, 2164, 540, 2789, 4830, 2090, 602, 2232, 513, 1455, 1382, 2243, 269, 1635, 9256, 1239, 689, 1896, 2090, 267, 3173, 666, 2333, 8579, 1379, 267, 7447, 811, 10502, 519, 2360, 540, 1719, 267, 543, 2697, 3270, 543, 2959, 540, 8390, 2066, 2090, 269, 769, 713, 3184, 267, 649, 786, 2263, 519, 1523, 540, 13849, 20400, 538, 3178, 267, 2519, 593, 922, 3156, 267, 2409, 267, 2640, 267, 543, 7687, 269, 1284, 786, 849, 9414, 875, 13849, 20400, 814, 1044, 4294, 547, 519, 1353, 540, 4965, 2359, 538, 2550, 609, 3987, 543, 13119, 538, 1970, 268, 543, 1647, 13867, 2477, 630, 299, 300, 2975, 338, 1070, 607, 4330, 538, 519, 1349, 1657, 780, 2162, 9502, 543, 21929, 324, 540, 26426, 268, 26046, 692, 4263, 922, 4295, 267, 13849, 20400, 568, 513, 11050, 1505, 585, 10128, 543, 9236, 519, 4681, 540, 2789, 3119, 2090, 1210, 8579, 2553, 269, 634, 2165, 834, 5471, 320, 20400, 257, 729, 1101, 22579, 676, 22319, 19371, 538, 476, 3192, 277, 267, 945, 3989, 621, 607, 834, 1492, 2079, 540, 9382, 2437, 10452, 922, 1909, 538, 13754, 1944, 4540, 1702, 6508, 689, 3105, 12170, 13753, 269, 4595, 1287, 267, 13849, 20400, 814, 1831, 513, 4922, 7608, 543, 9565, 1907, 538, 1082, 3621, 10459, 267, 1519, 6530, 267, 2069, 267, 4915, 267, 1857, 1072, 267, 1870, 267, 543, 3609, 6268, 780, 2467, 616, 1896, 4128, 1946, 13849, 20400, 814, 6591, 971, 8560, 543, 23146, 269, 3689, 267, 13849, 20400, 2636, 3173, 547, 7753, 930, 540, 519, 7915, 7687, 540, 1367, 2090, 267, 971, 607, 1507, 3732, 7306, 267, 3908, 2489, 714, 1464, 267, 543, 6482, 5470, 269, 1635, 7535, 532, 1239, 689, 2789, 2090, 267, 13849, 12845, 3315, 7370, 666, 3035, 3152, 8856, 267, 6111, 267, 543, 10727, 982, 1022, 2582, 1353, 1223, 1683, 269, 5822, 267, 13849, 20400, 6087, 3173, 547, 4983, 519, 11007, 267, 19427, 267, 543, 27754, 540, 4681, 2066, 1114, 5439, 267, 5468, 267, 543, 3800, 269, 901, 13354, 5133, 666, 7866, 1312, 7347, 543, 4756, 2360, 267, 1217, 7811, 9840, 267, 543, 2303, 1007, 18817, 585, 7634, 269, 12059, 267, 13849, 20400, 2488, 513, 12001, 267, 18187, 762, 267, 543, 19469, 1935, 547, 1702, 13250, 267, 4227, 21336, 3599, 267, 9186, 267, 543, 3653, 538, 1382, 269, 1635, 13754, 1944, 4540, 2963, 267, 13849, 20400, 666, 948, 2061, 11991, 5918, 6473, 540, 4674, 267, 3895, 3608, 4199, 14305, 267, 543, 6536, 3356, 4724, 16460, 10296, 2055, 780, 2162, 17778, 538, 18430, 532, 513, 26426, 268, 26046, 692, 3519, 2265, 532, 513, 1164, 7779, 13849, 20400, 3322, 1896, 3268, 267, 799, 2154, 6297, 4058, 267, 11056, 267, 543, 8989, 269, 1452, 3268, 616, 13890, 2630, 267, 2059, 609, 741, 24117, 543, 2591, 780, 2971, 5153, 476, 272, 281, 4813, 6819, 3194, 5999, 543, 23738, 12330, 692, 6524, 25054, 593, 513, 13849, 20400, 267, 3173, 1058, 24808, 2312, 267, 5059, 267, 543, 4143, 1382, 2055, 543, 19165, 602, 3391, 741, 5542, 267, 8193, 267, 543, 2079, 540, 2090, 269, 1280, 1383, 267, 1759, 593, 519, 1349, 1657, 267, 513, 2009, 1382, 2243, 1223, 581, 281, 1548, 568, 519, 2949, 1198, 2450, 540, 4965, 2359, 7459, 593, 29944, 1852, 543, 1973, 2604, 5786, 1851, 4079, 609, 3987, 543, 13119, 538, 30838, 2975, 338, 286, 589, 7222, 8367, 1522, 581, 281, 22702, 547, 8912, 1416, 610, 1100, 2126, 267, 4965, 2359, 7459, 1291, 547, 1713, 9283, 538, 24562, 589, 272, 322, 2157, 543, 30918, 4301, 7933, 328, 770, 4301, 1973, 2604, 2418, 1851, 4079, 609, 3987, 543, 13119, 538, 30838, 2975, 338, 780, 2005, 568, 1898, 547, 14574, 519, 2551, 267, 6304, 267, 6476, 267, 6364, 267, 543, 4259, 630, 303, 2975, 5308, 264, 7355, 950, 1106, 6819, 1382, 2055, 543, 19165, 269, 901, 5849, 602, 1152, 2090, 602, 2743, 891, 7355, 616, 3769, 538, 519, 13849, 20400, 267, 7393, 4630, 23189, 267, 10083, 267, 543, 4612, 1464, 269, 5047, 267, 28408, 623, 2975, 5308, 7355, 2337, 7413, 30846, 267, 9186, 267, 543, 1476, 15929, 2188, 602, 949, 1860, 519, 14496, 543, 2489, 714, 1464, 540, 519, 4681, 780, 2971, 5153, 476, 273, 281, 9612, 532, 543, 30587, 5525, 692, 5629, 519, 1382, 2055, 543, 19165, 723, 1044, 3964, 267, 519, 1985, 1900, 568, 547, 3406, 543, 5496, 5732, 14718, 2090, 269, 901, 1184, 3335, 3322, 2185, 5933, 281, 630, 320, 264, 10747, 10014, 543, 17181, 7355, 282, 630, 321, 264, 7114, 4143, 12240, 543, 17161, 282, 630, 322, 264, 13098, 1324, 543, 8939, 4930, 282, 543, 630, 323, 264, 10442, 1981, 540, 9186, 543, 2298, 4879, 780, 5575, 267, 3173, 1590, 5581, 7453, 267, 8763, 267, 543, 12001, 10014, 543, 17181, 7355, 602, 5447, 609, 741, 1382, 2055, 543, 19165, 269, 6201, 540, 25046, 7355, 1331, 8313, 1032, 267, 1893, 267, 1374, 267, 5171, 267, 6304, 267, 6476, 267, 6364, 267, 543, 2796, 269, 898, 568, 2629, 547, 2057, 1373, 1932, 8537, 610, 12600, 693, 713, 3942, 1317, 13061, 610, 21678, 2090, 949, 14207, 519, 4835, 543, 5007, 14496, 540, 519, 13849, 20400, 780, 13553, 267, 3173, 1058 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1614, 11775, 540, 2339, 693, 602, 1808, 2604, 543, 2837, 269, 1109, 17957, 267, 952, 2604, 568, 1164, 543, 2837, 568, 1970, 519, 5123, 6516, 9598, 919, 513, 4396, 814, 519, 9803, 24855, 18582, 2125, 1648, 269, 1109, 634, 1225, 1324, 2699, 3515, 538, 519, 4137, 616, 5123, 6302, 543, 1397, 941, 693, 1808, 12503, 543, 5210, 1312, 11775, 616, 693, 11466, 269, 1109, 634, 10222, 921, 1448, 786, 581, 5941, 538, 3152, 1469, 2417, 593, 855, 585, 519, 4090, 621, 1810, 919, 513, 1808, 2837, 543, 2604, 1141, 782, 1614, 11775, 616, 693, 11466, 269, 1109, 634, 3803, 29810, 1448, 593, 519, 5123, 6516, 568, 519, 2565, 1448, 269, 1109, 634, 2565, 1448, 18575, 513, 1448, 941, 693, 513, 2837, 2362, 982, 519, 2565, 1448, 519, 6219, 568, 513, 2706, 2565, 5714, 269, 1109, 630, 2690, 513, 2689, 540, 2706, 2565, 5714, 3277, 547, 11000, 476, 273, 4967, 24355, 309, 8388, 16242, 692, 309, 8388, 2604, 568, 1655, 6956, 676, 31935, 513, 6986, 5277, 1958, 1078, 538, 513, 20177, 8708, 269, 1109, 2755, 519, 5318, 5354, 540, 519, 6675, 540, 519, 6219, 616, 538, 519, 5277, 5123, 855, 930, 723, 519, 1648, 547, 9101, 547, 519, 3154, 5123, 269, 1109, 1452, 3154, 5123, 6675, 616, 16290, 676, 519, 8708, 543, 1152, 865, 1082, 666, 1628, 909, 543, 11851, 513, 2604, 269, 1109, 634, 11517, 2604, 568, 519, 2604, 540, 891, 3154, 6675, 693, 11466, 609, 519, 5277, 538, 519, 8708, 269, 1109, 589, 2034, 1383, 568, 519, 6704, 6177, 602, 729, 3254, 538, 1362, 269, 1109, 1879, 519, 6177, 779, 2212, 546, 2354, 883, 1216, 267, 519, 1216, 568, 6537, 883, 519, 26703, 538, 621, 779, 581, 752, 269, 1109, 4634, 1498, 519, 1216, 568, 513, 5277, 267, 930, 540, 519, 1216, 1965, 7870, 538, 547, 519, 11517, 5123, 267, 9023, 519, 3154, 538, 519, 2212, 267, 13059, 519, 6177, 547, 621, 779, 7299, 2990, 2394, 519, 1216, 18493, 919, 4625, 780, 8138, 3916, 566, 11517, 2604, 568, 11517, 538, 11466, 609, 513, 4396, 780, 263, 8201, 476, 275, 264, 16503, 1674, 540, 11517, 2604, 538, 20177, 8708, 692, 22517, 4979, 8672, 692, 288, 1455, 1505, 585, 8600, 18437, 610, 7573, 568, 547, 14974, 621, 269, 1109, 14333, 568, 4294, 547, 1426, 24760, 538, 1216, 2394, 519, 1216, 18616, 269, 1109, 1809, 568, 519, 5250, 540, 18616, 606, 4977, 16315, 540, 14495, 286, 1741, 26457, 11946, 1227, 267, 14495, 568, 950, 513, 5277, 568, 4847, 547, 11884, 11517, 1125, 269, 1109, 1280, 713, 547, 2049, 267, 519, 11517, 2604, 540, 606, 1930, 8708, 1590, 3160, 5007, 2604, 630, 514, 519, 2013, 540, 14495, 18437, 713, 568, 11626, 2604, 1040, 1109, 634, 18616, 8375, 689, 519, 1494, 616, 11517, 1242, 1216, 8375, 547, 519, 1283, 540, 519, 1216, 269, 1109, 634, 4890, 2837, 941, 519, 5007, 2604, 568, 3160, 547, 11517, 2604, 568, 5219, 547, 607, 14495, 2837, 269, 1109, 901, 568, 519, 5934, 2837, 2877, 547, 581, 3035, 3020, 14495, 780, 1892, 476, 13725, 2311, 476, 272, 693, 332, 269, 14495, 2837, 568, 5219, 547, 607, 3339, 14495, 1448, 630, 307, 321, 994, 1892, 5788, 3396, 1741, 2311, 476, 272, 3046, 269, 14495, 2837, 568, 5219, 547, 607, 3044, 14495, 1448, 692, 10303, 476, 272, 3046, 568, 513, 3787, 4130, 982, 476, 272, 693, 332, 269, 9208, 14495, 1448, 568, 5768, 3373, 4130, 602, 3339, 14495, 1448, 780, 22517, 4979, 1152, 4386, 538, 606, 1930, 8708, 269, 1109, 1403, 519, 8708, 568, 12699, 855, 6806, 267, 607, 519, 2837, 4422, 909, 267, 519, 11517, 2604, 543, 519, 5860, 540, 519, 11517, 4679, 269, 1109, 2311, 519, 1482, 942, 267, 519, 5860, 540, 519, 5277, 7444, 6175, 269, 1109, 1403, 519, 8022, 5170, 267, 5555, 519, 5860, 540, 519, 11517, 11224, 519, 5860, 540, 519, 6967, 5277, 543, 519, 1079, 3982, 11775, 14897, 269, 1109, 901, 2837, 568, 1572, 519, 2565, 2837, 630, 307, 322, 1040, 1109, 634, 11517, 2604, 693, 519, 2565, 2837, 568, 5219, 547, 607, 2565, 2604, 630, 303, 322, 1040, 1109, 26361, 713, 2565, 2837, 267, 3079, 540, 513, 17386, 2627, 1063, 1079, 11775, 267, 1152, 835, 5123, 6818, 1572, 513, 2706, 322, 15560, 5714, 780, 263, 8201, 476, 276, 264, 5231, 16503, 1674, 540, 2565, 1448, 538, 20177, 8708, 269, 6892, 513, 4700, 28966, 630, 323, 1046, 4544, 264, 1373, 12699, 267, 11517, 2604, 630, 2775, 4544, 264, 568, 1970, 269, 3396, 536, 4700, 1261, 908, 5170, 267, 11517, 2604, 4679, 267, 5860, 540, 5277, 11081, 269, 6892, 524, 4700, 570, 290, 267, 543, 7193, 6913, 267, 11517, 543, 5277, 723, 1831, 2706, 322, 15560, 5714, 692, 27839, 1154, 18745, 543, 10222, 921, 18745, 692, 27839, 1154, 2837, 568, 519, 2837, 1141, 519, 4396, 543, 5277, 11775, 540, 513, 6219, 693, 513, 1305, 2604, 693, 11466, 30598, 269, 634, 16171, 2837, 568, 519, 1482, 607, 519, 13621, 2837, 1317, 6878, 19068, 693, 519, 1482, 2837, 602, 789, 15835, 269, 1109, 901, 666, 581, 3308, 1242, 676, 606, 4672, 13306, 13621, 950, 5116, 538, 606, 1604, 602, 568, 2362, 982, 476, 271, 595, 267, 855, 5277, 1216, 1863, 8240, 883, 4672, 538, 606, 1604, 602, 568, 693, 2547, 476, 271, 290, 269, 1109, 1306, 568, 2147, 547, 14495, 1448, 267, 3339, 16171, 1448, 630, 307, 335, 264, 568, 519, 16171, 2837, 1141, 519, 2604, 568, 476, 272, 693, 332, 269, 1109, 19452, 267, 3044, 16171, 1448, 568, 519, 16171, 1448, 950, 519, 2604, 568, 476, 272, 3046, 269, 1109, 634, 3339, 16171, 1448, 666, 849, 581, 1572, 519, 3339, 13621, 1448, 269, 1109, 634, 1448, 1141, 782, 1614, 11775, 2291, 8195, 538, 513, 3501, 11466, 568, 519, 17784, 1448, 543, 666, 581, 2938, 593, 519, 5123, 6516, 269, 630, 8201, 476, 272, 264, 1109, 1280, 782, 1614, 11775, 547, 2291, 267, 1312, 2604, 543, 2837, 1590, 581, 3169, 269, 1109, 589, 13581, 11539, 786, 2014, 693, 2547, 835, 540, 519, 11775, 547, 1100, 3476, 2291, 269, 1109, 1280, 6986, 1216, 267, 519, 17784, 1448, 568, 476, 24129, 269, 1626, 918, 543, 476, 277, 1556, 14529, 780, 16248, 7151, 18001, 30894, 692, 263, 8201, 476, 277, 264, 1109, 4942, 848, 12810, 540, 3327, 8166, 269, 1109, 3245, 519, 1657, 4137, 621, 2009, 547, 2491, 1946, 3819, 4672, 630, 338, 13521, 3327, 8166, 264, 1016, 3916, 919, 693, 11626, 2604, 269, 1109, 1677, 1294, 5277, 3327, 8166, 267, 2604, 1590, 581, 2799, 547, 693, 2547, 476, 276, 269, 1321, 4694, 12742, 780, 263, 8201, 476, 278, 264, 1741, 18001, 12810, 540, 4826, 269, 1109, 8074, 519, 3875, 4396, 11775, 540, 1216, 630, 296, 29930, 296, 1040, 1109, 1452, 616, 1114, 14883, 725, 3361, 676, 22198, 4474, 540, 7250, 7554, 538, 1216, 779, 2189, 1930, 2497, 269, 1109, 1358, 616, 1152, 2938, 693, 1164, 12503, 692, 263, 8201, 476, 279, 264, 18001, 12810, 540, 4477, 1756, 269, 1109, 8074, 519, 10486, 547, 3327, 8166, 269, 1109, 3509, 12222, 5526, 930, 1018, 2147, 692, 307, 615, 332, 19392, 540, 18001, 3690, 1431, 692, 300, 6897, 18582, 2125, 1648, 630, 294, 332, 264, 568, 1271, 585, 8159, 5123, 13289, 543, 666, 581, 1572, 3114, 1761, 630, 19031, 1040, 476, 1109, 2690, 513, 5123, 5912, 547, 2049, 519, 11775, 1590, 581, 513, 11466, 269, 26457, 17871, 4214, 540, 11466, 281, 950, 11466, 6818, 267, 519, 3114, 1761, 630, 19031, 264, 1590, 581, 7833, 2429, 519, 3732, 1100, 2339, 875, 1082, 11775, 616, 1459, 780, 263, 8201, 476, 280, 264, 16503, 1674, 540, 26457, 17871, 4982, 10329, 269, 1109, 4634, 1498, 972, 616, 1079, 11775, 538, 519, 3732, 267, 519, 3114, 30372, 616, 519, 1482, 865, 519, 1062, 568, 693, 11466, 692, 2252, 519, 2837, 568, 1970, 267, 607, 1279, 607, 519, 2604, 568, 711, 1932, 1970, 267, 4396, 5123, 814, 519, 9803, 3114, 1761, 543, 568, 519, 1034, 7123, 269, 1109, 11906, 1761, 2242, 609, 2837, 269, 901, 1689, 6941, 1946, 972, 616, 5123, 2242, 538, 513, 6219, 780, 1607, 666, 581, 3254, 676, 519, 13576, 4834, 692, 263, 13420, 566, 476, 272, 2020, 263, 13420, 566, 476, 273, 2020, 763, 1101, 3830, 18575, 602, 607, 2837, 14380, 3114, 1761, 3526, 525, 269, 1109, 8641, 532, 13179, 5288, 269, 570, 267, 519, 9386, 3587, 588, 2465, 704, 519, 2362, 519, 2837, 267, 543, 3976, 519, 2362, 519, 23811, 269, 1109, 634, 2034, 3830, 13602, 13179, 1996, 2604, 267, 6029, 519, 9386, 568, 3160, 547, 24855, 4320, 269, 1109, 4935, 267, 9870, 519, 2604, 12651, 13179, 780, 263, 8201, 476, 1015, 264, 11906, 15783, 630, 19031, 264, 5288, 269, 31301, 520, 340, 699, 269, 1109, 8074, 519, 4396, 4544, 1899, 2982, 9803, 3114, 1761, 267, 543, 713, 5207, 6617, 585, 513, 1880, 5123, 693, 513, 1808, 2837, 269, 0, 258, 12430, 10789, 692, 32046, 281, 3933, 267, 476, 2190, 9484, 476, 1001, 279, 454, 8310, 8242, 281, 11205, 267, 476, 736, 4924, 476, 1001, 280, 692, 309, 10725, 5624, 616, 3989, 936, 513, 2361, 4399, 24837, 346, 293, 20954, 1247, 5119, 13366, 666, 581, 6074, 689, 2609, 540, 862, 32477, 8258, 4399, 24837, 346, 298, 31859, 1012, 595, 599, 2917, 6953, 15071, 11532, 692, 259, 288, 815, 1422, 8218, 21421, 348, 476, 272, 1299, 476, 273, 8607, 476, 273, 1299, 476, 272, 1422, 754, 21421, 10592, 7445, 14433, 815, 476, 272, 267, 476, 274, 259, 616, 519, 27744, 267, 799, 666, 581, 5462, 676, 6061, 1269, 30956, 10490, 910, 1422, 14433, 594, 264, 815, 476, 271, 16859, 763, 595, 599, 2917, 6953, 15071, 11532, 2829, 602, 18159, 288, 910, 1422, 14433, 318, 272, 594, 264, 1422, 24126, 630, 288, 910, 1422, 14433, 5332, 594, 264, 815, 476, 271, 259, 282, 8754, 519, 5119, 666, 581, 3815, 1242, 607, 4399, 8218, 21421, 348, 476, 272, 1299, 476, 272, 8607, 476, 272, 1299, 476, 272, 1422, 754, 21421, 4151, 543, 4399, 8218, 21421, 348, 910, 272, 1299, 476, 272, 8607, 476, 272, 1299, 910, 272, 1422, 754, 21421, 10592, 292, 3394, 19066, 4399, 13992, 28452, 4151, 666, 581, 5833, 676, 6061, 1269, 288, 1422, 13992, 28452, 348, 815, 1422, 14433, 1422, 13992, 28452, 31859, 1012, 10318, 5364, 692, 763, 24572, 1599, 1269, 291, 259, 3651, 338, 547, 1142, 1269, 333, 1422, 9392, 562, 259, 5119, 267, 513, 22185, 269, 898, 568, 562, 31059, 267, 20367, 267, 543, 1269, 291, 263, 296, 264, 815, 476, 272, 16859, 333, 31059, 1797, 281, 602, 585, 1142, 1269, 328, 8961, 1269, 291, 259, 568, 5276, 936, 519, 1269, 328, 3867, 628, 4151, 4737, 267, 5329, 782, 824, 9343, 6378, 1269, 291, 7268, 10401, 10983, 1341, 524, 315, 10401, 3709, 328, 262, 16585, 815, 667, 7268, 10401, 10983, 264, 1341, 524, 291, 7268, 10401, 3709, 328, 262, 16585, 6911, 21446, 908, 1797, 1384, 272, 269, 1403, 1079, 9343, 538, 1269, 288, 259, 616, 3160, 267, 1269, 291, 10490, 264, 815, 476, 271, 14204, 273, 269, 1403, 1269, 288, 262, 259, 568, 519, 5119, 649, 1205, 676, 954, 577, 4474, 1079, 9343, 540, 1269, 288, 8961, 1287, 1269, 291, 10490, 10807, 815, 910, 291, 10490, 22491, 1103, 1496, 322, 14394, 7308, 648, 6776, 2474, 28488, 270, 551, 270, 272, 258, 11499, 20675, 4146, 1070, 519, 24572, 568, 513, 2067, 7004, 4399, 339, 879, 2433, 1422, 3667, 8578, 346, 10135, 978, 348, 1422, 13569, 564, 3189, 12712, 2280, 7346, 21375, 348, 1422, 3667, 8578, 346, 26364, 335, 23201, 0, 258, 13207, 1456, 18696, 3493, 21090, 692, 1012, 1548, 568, 519, 13207, 1456, 3493, 21090, 6396, 2496, 763, 19394, 3666, 28595, 1505, 568, 1031, 547, 5173, 519, 5993, 28595, 13258, 540, 513, 6378, 10697, 780, 763, 19394, 3666, 1505, 3006, 5219, 547, 607, 4227, 3666, 267, 568, 513, 4122, 1031, 1505, 540, 12719, 519, 28595, 5279, 585, 606, 10697, 780, 763, 28595, 5279, 568, 2016, 676, 519, 19394, 3666, 28595, 4542, 607, 5205, 1384, 5719, 743, 1456, 18696, 3493, 21090, 815, 15580, 1535, 4880, 3883, 10025, 540, 519, 674, 12089, 2667, 564, 692, 8489, 912, 31948, 568, 519, 6378, 6871, 2557, 563, 15187, 3883, 10025, 568, 519, 3312, 1942, 1447, 19017, 28595, 547, 4266, 593, 519, 10697, 780, 7712, 519, 2121, 1433, 1871, 568, 19394, 1142, 1032, 267, 519, 28595, 5279, 786, 7771, 1142, 1032, 780, 763, 1505, 568, 1031, 607, 621, 859, 839, 856, 519, 2698, 1942, 540, 606, 10697, 547, 519, 1870, 269, 634, 1942, 540, 606, 10697, 7363, 13408, 28595, 543, 18203, 543, 5826, 269, 4635, 519, 19394, 3666, 1505, 267, 519, 28595, 23229, 936, 942 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5228, 530, 330, 16818, 577, 1104, 7060, 564, 692, 3698, 1449, 7272, 10183, 564, 10031, 825, 5727, 2252, 1305, 589, 814, 562, 2609, 982, 623, 10490, 264, 814, 476, 273, 22397, 379, 2609, 27969, 454, 825, 589, 815, 1412, 29582, 7055, 825, 7682, 7003, 9638, 10183, 564, 4877, 10183, 564, 10490, 4297, 2652, 476, 273, 1262, 6352, 10490, 994, 825, 645, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 2639, 825, 7682, 7003, 9638, 10183, 564, 4877, 10183, 564, 16360, 4297, 2652, 476, 273, 1262, 6352, 16360, 994, 825, 595, 815, 11713, 825, 7682, 7003, 9638, 10183, 564, 4877, 10183, 564, 18154, 4297, 2652, 476, 273, 1262, 6352, 18154, 994, 0, 258, 7728, 305, 4696, 288, 454, 5814, 15259, 454, 657, 269, 17882, 2891, 743, 338, 5602, 4289, 320, 5332, 558, 3691, 17342, 2639, 4289, 320, 14682, 2784, 334, 17342, 2639, 4289, 320, 5091, 14269, 17342, 2639, 4289, 320, 318, 15479, 657, 17342, 2639, 295, 528, 9222, 318, 290, 2720, 657, 17342, 2639, 4289, 320, 318, 777, 749, 18480, 17342, 2639, 328, 815, 476, 271, 454, 258, 24165, 290, 2464, 302, 692, 2745, 2891, 1366, 955, 289, 1329, 1597, 18480, 620, 589, 3121, 14044, 1366, 955, 257, 9239, 333, 633, 331, 815, 3403, 2891, 28808, 516, 572, 647, 562, 633, 331, 1534, 520, 16343, 283, 22958, 7559, 522, 27116, 340, 663, 7559, 285, 281, 834, 1040, 12294, 4590, 6112, 562, 633, 331, 8206, 6889, 27146, 7559, 257, 543, 562, 633, 331, 11203, 834, 5913, 1495, 7559, 13426, 825, 1820, 2891, 9339, 268, 13286, 9339, 268, 8442, 3097, 825, 562, 633, 331, 815, 3403, 2891, 28808, 25564, 1714, 562, 633, 331, 1534, 520, 16343, 2953, 334, 281, 834, 2020, 604, 562, 633, 331, 2652, 257, 5913, 1495, 7559, 257, 2433, 1038, 454, 825, 1178, 4777, 284, 703, 9272, 2891, 28808, 25564, 1714, 1178, 4777, 6446, 1609, 553, 17400, 18372, 281, 27328, 825, 1247, 1178, 4777, 3436, 476, 276, 912, 1038, 1820, 2891, 955, 268, 13286, 955, 268, 5602, 1038, 1178, 4777, 815, 703, 9272, 2891, 28808, 25564, 1714, 1178, 4777, 2953, 334, 281, 834, 11723, 604, 562, 633, 331, 2652, 257, 27146, 7559, 257, 10778, 825, 1178, 4777, 284, 703, 9272, 2891, 28808, 25564, 1714, 1178, 4777, 6446, 1609, 553, 17400, 18372, 281, 834, 11723, 825, 1247, 1178, 4777, 3436, 476, 277, 912, 1038, 1820, 2891, 955, 268, 13286, 955, 268, 5602, 1038, 1178, 4777, 815, 703, 9272, 2891, 28808, 25564, 1714, 1178, 4777, 2953, 334, 281, 834, 4297, 1363, 3097, 17264, 692, 539, 611, 815, 703, 9272, 2891, 28808, 25564, 8913, 1196, 611, 281, 27328, 6112, 6936, 912, 825, 952, 1196, 611, 3436, 476, 1240, 912, 1038, 1820, 2891, 9339, 268, 13286, 9339, 5602, 1038, 1820, 2891, 28808, 516, 572, 3611, 334, 2953, 334, 5602, 1038, 1196, 611, 815, 703, 9272, 2891, 28808, 25564, 8913, 1196, 611, 281, 27328, 825, 3116, 912, 1038, 2736, 692, 1723, 5586, 1470, 815, 3403, 2891, 28808, 25564, 1714, 9930, 3691, 632, 8913, 1071, 5586, 1470, 281, 19515, 6112, 6936, 912, 825, 952, 1071, 5586, 1470, 2652, 834, 13426, 1038, 1820, 2891, 13286, 267, 3824, 516, 572, 3611, 334, 2953, 334, 5602, 1038, 1071, 5586, 1470, 815, 3403, 2891, 28808, 25564, 1714, 9930, 3691, 632, 8913, 1071, 5586, 1470, 281, 19515, 825, 3116, 912, 1038, 2736, 692, 333, 558, 3691, 815, 3403, 2891, 292, 30533, 320, 647, 9930, 3691, 281, 19515, 6112, 6936, 912, 825, 952, 9930, 3691, 2652, 834, 13426, 1038, 1820, 2891, 13286, 267, 3824, 516, 572, 3611, 334, 2953, 334, 5602, 1038, 9930, 3691, 815, 3403, 2891, 292, 30533, 320, 647, 9930, 3691, 281, 19515, 825, 3116, 912, 1038, 2736, 692, 777, 749, 18480, 815, 3403, 2891, 292, 30533, 320, 647, 3284, 749, 18480, 281, 19515, 6112, 6936, 912, 825, 952, 3284, 749, 18480, 2652, 834, 13426, 1038, 1820, 2891, 13286, 267, 3824, 516, 572, 3611, 334, 2953, 334, 5602, 1038, 3284, 749, 18480, 815, 3403, 2891, 292, 30533, 320, 647, 3284, 749, 18480, 281, 19515, 825, 3116, 912, 1038, 2736, 692, 323, 14269, 815, 476, 703, 9272, 2891, 292, 30533, 320, 1714, 1003, 3266, 632, 647, 667, 25712, 281, 27328, 4289, 320, 5091, 14269, 6910, 5560, 14269, 994, 6112, 6936, 912, 825, 952, 546, 14269, 10922, 476, 271, 912, 1038, 1820, 2891, 13286, 267, 3824, 516, 572, 3611, 334, 2953, 334, 5602, 1038, 546, 14269, 815, 476, 703, 9272, 2891, 292, 30533, 320, 1714, 1003, 3266, 632, 647, 667, 25712, 281, 27328, 825, 3116, 912, 1038, 2736, 692, 604, 562, 633, 331, 2652, 257, 5913, 1495, 7559, 13426, 825, 1820, 2891, 955, 268, 299, 657, 17400, 657, 6446, 512, 1329, 525, 11188, 12461, 597, 5067, 281, 955, 268, 5602, 825, 1820, 2891, 300, 622, 332, 5451, 339, 3821, 267, 700, 15115, 1690, 324, 267, 674, 529, 3821, 267, 2372, 6403, 332, 3821, 267, 16024, 807, 267, 6183, 520, 3120, 267, 681, 1794, 8160, 622, 15122, 320, 267, 681, 1794, 17679, 518, 4472, 267, 6156, 24265, 267, 16016, 956, 5602, 825, 585, 1775, 538, 2039, 630, 271, 267, 278, 2187, 1038, 17400, 657, 815, 3403, 2891, 292, 30533, 320, 1714, 9930, 3691, 1642, 1225, 810, 6446, 642, 320, 513, 561, 4582, 541, 281, 5602, 1038, 30458, 318, 15479, 657, 6910, 263, 15479, 657, 994, 1038, 1775, 6834, 476, 272, 454, 604, 562, 633, 331, 2652, 257, 27146, 7559, 13426, 825, 1820, 2891, 299, 657, 17400, 657, 6446, 512, 1329, 525, 11188, 12461, 597, 5067, 281, 5602, 825, 1820, 2891, 300, 622, 332, 5451, 339, 3821, 267, 1290, 684, 545, 24265, 267, 16016, 956, 267, 9608, 4317, 267, 6183, 520, 3120, 267, 681, 1794, 8160, 622, 15122, 320, 267, 681, 1794, 17679, 518, 4472, 267, 6156, 24265, 267, 595, 1329, 25556, 267, 3447, 24265, 535, 529, 3821, 5602, 825, 585, 1775, 538, 2039, 630, 271, 267, 276, 2187, 1038, 17400, 657, 815, 3403, 2891, 292, 30533, 320, 1714, 9930, 3691, 1642, 1225, 810, 6446, 642, 320, 513, 561, 4582, 541, 281, 5602, 1038, 30458, 318, 15479, 657, 6910, 263, 15479, 657, 264, 3097, 1038, 1775, 6834, 476, 272, 4449, 692, 258, 306, 3201, 2839, 288, 454, 2745, 2891, 1366, 268, 291, 520, 657, 1642, 1325, 4379, 334, 1366, 19203, 5602, 2745, 2891, 2704, 4379, 334, 24333, 9930, 3691, 994, 2745, 2891, 10955, 611, 24333, 1196, 611, 994, 2745, 2891, 294, 2784, 334, 586, 562, 633, 331, 24333, 1178, 4777, 267, 562, 633, 331, 994, 2745, 2891, 8802, 626, 2784, 334, 598, 1714, 546, 14269, 24333, 546, 14269, 994, 2745, 2891, 290, 2720, 657, 26603, 690, 573, 657, 24333, 30458, 318, 15479, 657, 2020, 258, 1817, 9222, 632, 804, 1162, 454, 295, 528, 9222, 271, 815, 834, 278, 281, 876, 993, 910, 476, 278, 281, 3393, 993, 4840, 295, 528, 9222, 272, 815, 834, 278, 281, 3393, 993, 910, 476, 279, 281, 1789, 993, 4840, 295, 528, 9222, 273, 815, 834, 279, 281, 1789, 993, 910, 476, 280, 281, 1428, 993, 4840, 295, 528, 9222, 274, 815, 834, 280, 281, 1428, 993, 910, 476, 1015, 281, 876, 993, 4840, 3725, 920, 334, 272, 815, 834, 1015, 281, 876, 993, 910, 476, 1015, 281, 1428, 993, 4840, 295, 528, 9222, 275, 815, 834, 1015, 281, 1428, 993, 910, 476, 1556, 281, 876, 993, 4840, 295, 528, 9222, 276, 815, 834, 1556, 281, 876, 993, 910, 476, 1556, 281, 3393, 993, 4840, 3725, 920, 334, 273, 815, 834, 1556, 281, 3393, 993, 910, 476, 1321, 281, 876, 10681, 4840, 295, 528, 9222, 277, 815, 834, 1321, 281, 876, 10681, 910, 476, 1321, 281, 3393, 10681, 4840, 295, 528, 9222, 278, 815, 834, 1321, 281, 3393, 10681, 910, 476, 272, 281, 1789, 10681, 5016, 2745, 2891, 1366, 955, 268, 295, 528, 926, 657, 1366, 9339, 5602, 604, 562, 633, 331, 2652, 834, 27146, 7559, 13426, 825, 1820, 2891, 955, 268, 299, 17480, 955, 268, 5602, 825, 1820, 17338, 320, 318, 15479, 657, 314, 271, 316, 2437, 652, 324, 1225, 810, 3138, 561, 4582, 31730, 513, 15255, 2580, 295, 528, 9222, 272, 994, 825, 1820, 17338, 320, 318, 15479, 657, 314, 271, 316, 2437, 652, 324, 1225, 810, 3138, 561, 4582, 31730, 513, 15255, 2580, 295, 528, 9222, 273, 994, 825, 1820, 17338, 320, 318, 15479, 657, 314, 272, 316, 2437, 652, 324, 1225, 810, 3138, 561, 4582, 31730, 513, 15255, 2580, 295, 528, 9222, 274, 994, 825, 1820, 2891, 14976, 9903, 334, 3227, 773, 5633, 513, 15255, 2580, 3725, 920, 334, 272, 994, 825, 1820, 17338, 320, 318, 15479, 657, 314, 272, 316, 2437, 652, 324, 1225, 810, 3138, 561, 4582, 31730, 513, 15255, 2580, 295, 528, 9222, 275, 994, 825, 1820, 17338, 320, 318, 15479, 657, 314, 273, 316, 2437, 652, 324, 1225, 810, 3138, 561, 4582, 31730, 513, 15255, 2580, 295, 528, 9222, 276, 994, 825, 1820, 2891, 14976, 521, 580, 340, 1304, 324, 9903, 334, 3227, 773, 5633, 513, 15255, 2580, 3725, 920, 334, 273, 994, 825, 1820, 17338, 320, 318, 15479, 657, 314, 273, 316, 2437, 652, 324, 1225, 810, 3138, 561, 4582, 31730, 513, 15255, 2580, 295, 528, 9222, 277, 2020, 825, 1820, 2891, 955, 268, 24938, 525, 955, 268, 5602, 825, 1820, 17338, 320, 318, 15479, 657, 314, 274, 316, 2437, 652, 324, 1225, 810, 3138, 561, 4582, 31730, 513, 15255, 2580, 295, 528, 9222, 272, 994, 825, 1820, 17338, 320, 318, 15479, 657, 314, 274, 316, 2437, 652, 324, 1225, 810, 3138, 561, 4582, 31730, 513, 15255, 2580, 295, 528, 9222, 273, 994, 825, 1820, 17338, 320, 318, 15479, 657, 314, 275, 316, 2437, 652, 324, 1225, 810, 3138, 561, 4582, 31730, 513, 15255, 2580, 295, 528, 9222, 274, 994, 825, 1820, 2891, 14976, 9903, 334, 3227, 773, 5633, 513, 15255, 2580, 3725, 920, 334, 272, 994, 825, 1820, 17338, 320, 318, 15479, 657, 314, 275, 316, 2437, 652, 324, 1225, 810, 3138, 561, 4582, 31730, 513, 15255, 2580, 295, 528, 9222, 275, 994, 825, 1820, 17338, 320, 318, 15479, 657, 314, 272, 316, 2437, 652, 324, 1225, 810, 3138, 561, 4582, 31730, 513, 15255, 2580, 295, 528, 9222, 276, 994, 825, 1820, 2891, 14976, 521, 580, 340, 1304, 324, 9903, 334, 3227, 773, 5633, 513, 15255, 2580, 3725, 920, 334, 273, 994, 825, 1820, 17338, 320, 318, 15479, 657, 314, 272, 316, 2437, 652, 324, 1225, 810, 3138, 561, 4582, 31730, 513, 15255, 2580, 295, 528, 9222, 277, 2020, 825, 1820, 2891, 955, 268, 300, 1512, 322, 3421, 955, 268, 5602, 825, 1820, 17338, 320, 318, 15479, 657, 314, 273, 316, 2437, 652, 324, 1225, 810, 3138, 561, 4582, 31730, 513, 15255, 2580, 295, 528, 9222, 272, 994, 825, 1820, 17338, 320, 318, 15479, 657, 314, 273, 316, 2437, 652, 324, 1225, 810, 3138, 561, 4582, 31730, 513, 15255, 2580, 295, 528, 9222, 273, 994, 825, 1820, 17338, 320, 318, 15479, 657, 314, 275, 316, 2437, 652, 324, 1225, 810, 3138, 561, 4582, 31730, 513, 15255, 2580, 295, 528, 9222, 274, 994, 825, 1820, 2891, 14976, 9903, 334, 3227, 773, 5633, 513, 15255, 2580, 3725, 920, 334, 272, 994, 825, 1820, 17338, 320, 318, 15479, 657, 314, 275, 316, 2437, 652, 324, 1225, 810, 3138, 561, 4582, 31730, 513, 15255, 2580, 295, 528, 9222, 275, 994, 825, 1820, 17338, 320, 318, 15479, 657, 314, 274, 316, 2437, 652, 324, 1225, 810, 3138, 561, 4582, 31730, 513, 15255, 2580, 295, 528, 9222, 276, 994, 825, 1820, 2891, 14976, 521, 580, 340, 1304, 324, 9903, 334, 3227, 773, 5633, 513, 15255, 2580, 3725, 920, 334, 273, 994, 825, 1820, 17338, 320, 318, 15479, 657, 314, 274, 316, 2437, 652, 324, 1225, 810, 3138, 561, 4582, 31730, 513, 15255, 2580, 295, 528, 9222, 277, 2020, 825, 1820, 2891, 955, 268, 297, 826, 1407, 955, 268, 5602, 825, 1820, 17338, 320, 318, 15479, 657, 314, 271, 316, 2437, 652, 324, 1225, 810, 3138, 561, 4582, 31730, 513, 15255, 2580, 295, 528, 9222, 272, 994, 825, 1820, 17338, 320, 318, 15479, 657, 314, 271, 316, 2437, 652, 324, 1225, 810, 3138, 561, 4582, 31730, 513, 15255, 2580, 295, 528, 9222, 273, 994, 825, 1820, 17338, 320, 318, 15479, 657, 314, 274, 316, 2437, 652, 324, 1225, 810, 3138, 561, 4582, 31730, 513, 15255, 2580, 295, 528, 9222, 274, 994, 825, 1820, 2891, 14976, 9903, 334, 3227, 773, 5633, 513, 15255, 2580, 3725, 920, 334, 272, 994, 825, 1820, 17338, 320, 318, 15479, 657, 314, 274, 316, 2437, 652, 324, 1225, 810, 3138, 561, 4582 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4826, 538, 519, 17392, 3590, 910, 6693, 11997, 267, 519, 5354, 540, 519, 1239, 593, 1216, 2298, 543, 589, 14727, 10612, 21324, 3568, 1344, 593, 519, 20548, 816, 4369, 12039, 267, 7513, 267, 543, 30175, 6541, 540, 519, 1216, 269, 769, 519, 9000, 540, 513, 1732, 27667, 540, 10612, 2773, 267, 713, 4994, 814, 1044, 1031, 14916, 543, 568, 1869, 513, 2241, 1101, 19406, 585, 17782, 10612, 2773, 563, 3849, 332, 4869, 999, 585, 22493, 910, 6490, 874, 529, 454, 3849, 332, 4869, 999, 616, 1346, 5820, 538, 6405, 824, 982, 2823, 1633, 9160, 267, 1216, 267, 543, 4903, 516, 3766, 919, 602, 616, 3773, 547, 519, 7848, 5612, 1354, 610, 1282, 11544, 630, 8993, 269, 476, 277, 268, 272, 1040, 23670, 4869, 999, 666, 581, 9286, 676, 1599, 607, 5205, 281, 476, 272, 269, 5794, 268, 550, 20995, 8098, 4869, 999, 476, 273, 269, 4826, 454, 9773, 6458, 3834, 5255, 3271, 924, 31909, 476, 6507, 278, 279, 268, 7918, 268, 274, 1923, 476, 279, 6078, 278, 4200, 454, 9773, 6458, 3834, 5255, 3271, 924, 585, 10282, 269, 31909, 476, 6507, 278, 279, 268, 7918, 268, 274, 267, 3114, 4542, 6970, 263, 302, 5141, 264, 8975, 480, 269, 910, 4855, 9049, 9169, 610, 590, 9169, 267, 513, 2910, 288, 267, 1239, 9212, 543, 811, 1344, 269, 620, 4084, 715, 21838, 2997, 22355, 13268, 1645, 1627, 1399, 18025, 871, 12313, 10829, 640, 476, 279, 6078, 278, 4200, 18089, 271, 4825, 4471, 1324, 8244, 2443, 17290, 454, 1432, 4523, 950, 3679, 23465, 609, 14680, 286, 1923, 6693, 21918, 9693, 568, 6140, 1500, 909, 540, 519, 7777, 7513, 19941, 630, 25519, 4596, 274, 1040, 901, 568, 711, 1360, 19729, 267, 865, 7725, 1810, 5257, 339, 23271, 1360, 3533, 269, 1809, 952, 596, 1039, 606, 3679, 267, 596, 1039, 7250, 12274, 630, 295, 266, 1070, 799, 786, 2746, 609, 519, 19941, 547, 1106, 7250, 19941, 670, 4596, 274, 268, 12274, 454, 27420, 3764, 476, 28796, 7436, 910, 21469, 13053, 9142, 454, 9773, 6458, 28355, 568, 5594, 19729, 538, 1216, 693, 4055, 2837, 269, 1306, 519, 2837, 14380, 267, 519, 32610, 11081, 269, 1879, 519, 5021, 2179, 540, 4396, 814, 15702, 693, 513, 1880, 2837, 519, 3070, 568, 1767, 547, 581, 454, 9773, 6458, 4813, 622, 8605, 4578, 454, 1103, 513, 1353, 609, 14148, 267, 7513, 1106, 622, 3773, 547, 519, 6704, 1216, 693, 476, 271, 269, 273, 260, 585, 476, 274, 1296, 610, 476, 271, 269, 275, 260, 585, 476, 273, 1296, 4769, 1406, 1860, 2208, 267, 12680, 610, 1599, 538, 909, 547, 476, 276, 5481, 269, 25289, 1106, 622, 1131, 581, 4397, 547, 581, 8886, 908, 547, 519, 4064, 543, 2960, 563, 290, 944, 532, 4826, 9615, 1923, 661, 3712, 629, 454, 293, 3306, 1216, 568, 1373, 3773, 547, 519, 13486, 547, 5372, 1216, 4503, 998, 20984, 610, 21381, 269, 1809, 713, 17539, 1216, 3568, 6886, 267, 13897, 267, 11935, 543, 824, 23606, 602, 1628, 909, 543, 1202, 3634, 519, 4496, 7252, 269, 3776, 8483, 1516, 22169, 948, 2061, 4336, 543, 454, 1692, 547, 17179, 12071, 528, 728, 689, 4826, 910, 667, 3496, 609, 4826, 454, 7197, 21973, 602, 568, 3773, 547, 18513, 1216, 568, 606, 796, 11499, 1106, 540, 21973, 602, 3568, 9770, 269, 898, 568, 936, 476, 3199, 2053, 811, 6757, 982, 6923, 31507, 2590, 7513, 21973, 269, 634, 7698, 4578, 8881, 16847, 630, 5960, 9169, 264, 585, 9770, 21973, 2982, 519, 24037, 9570, 630, 17162, 268, 2004, 454, 14551, 1216, 1923, 9502, 267, 6201, 267, 1299, 12700, 1923, 27429, 454, 277, 270, 279, 270, 1708, 271, 6440, 10434, 1216, 267, 1216, 602, 3568, 20919, 540, 7513, 543, 13101, 21246, 958, 607, 22833, 12365, 919, 267, 8392, 1938, 267, 543, 9829, 919, 269, 12113, 9317, 4401, 949, 849, 581, 1459, 282, 12444, 1242, 547, 519, 7542, 878, 1106, 267, 621, 5526, 607, 513, 26070, 6960, 12962, 593, 18233, 17234, 543, 19596, 539, 7252, 563, 300, 13926, 2746, 2032, 3126, 6901, 2164, 7422, 6693, 300, 13926, 25792, 7422, 26459, 2490, 902, 1100, 1689, 910, 1100, 5114, 7513, 11491, 2737, 20405, 5114, 267, 2498, 12883, 12412, 267, 7990, 1652, 3154, 7960, 269, 634, 8471, 967, 1640, 7140, 4544, 1790, 584, 921, 910, 22279, 3070, 630, 335, 295, 9625, 1724, 264, 7601, 14816, 1100, 1689, 910, 1100, 5114, 4401, 2083, 902, 1100, 454, 289, 293, 310, 9615, 910, 590, 17139, 584, 545, 18729, 454, 763, 1034, 1455, 1505, 540, 4227, 3154, 9830, 538, 15245, 3049, 1216, 568, 519, 946, 540, 513, 632, 320, 518, 1807, 799, 7472, 513, 2910, 476, 273, 1863, 2498, 23308, 543, 744, 476, 273, 9830, 538, 519, 2039, 540, 476, 271, 269, 22650, 547, 476, 271, 269, 4905, 8406, 15828, 269, 1403, 2417, 5786, 540, 744, 476, 273, 568, 2838, 267, 606, 5135, 25094, 10152, 630, 14179, 8684, 5135, 3146, 706, 1424, 7135, 264, 971, 607, 9829, 924, 267, 3289, 23432, 710, 610, 3289, 23432, 710, 31431, 666, 581, 3773, 547, 4625, 9004, 744, 476, 273, 4586, 10907, 573, 5174, 848, 1234, 13905, 1923, 9537, 2986, 1234, 13905, 1923, 590, 12011, 822, 3121, 454, 1724, 269, 273, 18729, 1532, 848, 6547, 630, 2464, 289, 304, 312, 264, 634, 5114, 1063, 606, 3679, 543, 513, 3490, 568, 1634, 607, 513, 9243, 5314, 5114, 269, 10705, 950, 606, 3679, 543, 3490, 2746, 513, 6070, 543, 1216, 786, 581, 4646, 269, 1284, 786, 1413, 693, 513, 1906, 1806, 540, 3679, 1532, 848, 6547, 563, 31948, 540, 5114, 1063, 31527, 18608, 545, 18729, 543, 6693, 278, 270, 279, 270, 1708, 271, 6440, 15580, 540, 5114, 1063, 31527, 18608, 545, 18729, 543, 25289, 12539, 622, 25289, 19941, 23465, 609, 8652, 18608, 545, 3679, 547, 1106, 3327, 8166, 3154, 269, 2290, 1259, 540, 1739, 519, 2557, 540, 5114, 693, 799, 621, 23465, 568, 547, 2268, 519, 4320, 540, 3327, 8166, 3812, 693, 6693, 15771, 5308, 15771, 3036, 4785, 13138, 2975, 30045, 3036, 22432, 1923, 595, 28719, 302, 11906, 338, 1923, 30857, 454, 3725, 9711, 609, 1216, 547, 11457, 8652, 18608, 545, 3679, 267, 606, 8886, 908, 543, 1351, 4592, 633, 3154, 7805, 607, 3043, 32669, 269, 13242, 1282, 6850, 24119, 3789, 540, 4496, 593, 12285, 543, 585, 1818, 13851, 267, 1147, 2399, 1218, 267, 17405, 21187, 267, 5068, 9088, 267, 24470, 12028, 267, 19135, 18138, 8069, 267, 6693, 310, 770, 1168, 831, 5303, 5517, 16847, 11906, 2776, 27457, 2787, 454, 2704, 636, 267, 950, 3773, 547, 1216, 5627, 7513, 543, 13101, 22833, 12365, 622, 30175, 6541, 267, 23465, 609, 519, 30175, 6541, 547, 1106, 606, 1202, 20107, 11956, 28355, 10511, 10028, 269, 3752, 12657, 5230, 4496, 12274, 666, 581, 10736, 883, 1202, 20107, 4496, 18038, 1938, 610, 3327, 919, 998, 519, 1840, 540, 28355, 7135, 563, 9773, 6458, 543, 24942, 2657, 454, 18893, 585, 1216, 610, 7513, 1922, 677, 1881, 10538, 10433, 3079, 269, 1280, 15400, 5642, 1072, 267, 3635, 568, 1883, 1879, 621, 2501, 547, 2679, 543, 4509, 2178, 7633, 267, 3635, 568, 1898, 2073, 2523, 2597, 24481, 2238, 971, 607, 6972, 267, 15472, 267, 28185, 3101, 267, 2597, 331, 14823, 267, 25047, 804, 328, 532, 267, 8322, 21103, 5026, 267, 543, 19482, 563, 21316, 2207, 24361, 14408, 293, 4953, 312, 667, 25353, 590, 4047, 4953, 630, 5960, 9169, 264, 670, 312, 291, 4629, 6224, 299, 3036, 2975, 8028, 2839, 454, 272, 270, 272, 270, 1001, 280, 6440, 4826, 23860, 559, 5940, 269, 3213, 27889, 12727, 3502, 2139, 594, 4577, 640, 630, 514, 4826, 2567, 3502, 2139, 2598, 11825, 542, 16544, 281, 6423, 32610, 538, 1216, 267, 1019, 14007, 552, 750, 269, 3752, 28169, 281, 3752, 12657, 538, 4411, 1216, 267, 3905, 1216, 267, 1019, 14007, 552, 750, 269, 853, 1464, 281, 634, 1587, 568, 7123, 2529, 1254, 476, 1015, 281, 853, 1464, 543, 1234, 13808, 4578, 0, 26046, 540, 2048, 8170, 631, 823, 543, 2871, 903, 685, 676, 3627, 23415, 20198, 454, 8170, 631, 823, 543, 24053, 14405, 922, 21044, 8404, 689, 519, 16866, 2943, 15700, 2729, 540, 476, 273, 27540, 5520, 2429, 543, 1310, 519, 2352, 2053, 602, 4553, 519, 4279, 12870, 269, 898, 568, 5483, 538, 513, 1259, 602, 519, 3197, 2408, 27621, 2406, 9758, 1510, 519, 17646, 5006, 20726, 540, 1373, 1932, 733, 337, 1882, 543, 27105, 563, 763, 21882, 1374, 538, 799, 519, 1404, 5991, 913, 30592, 568, 5483, 14850, 701, 6545, 519, 19969, 540, 519, 2239, 602, 1289, 2429, 519, 2898, 1650, 269, 634, 2186, 540, 5609, 1356, 640, 602, 1500, 519, 2189, 922, 4087, 538, 519, 5339, 17374, 607, 835, 540, 835, 540, 519, 1034, 5668, 1263, 539, 7734, 540, 519, 476, 2641, 560, 11416, 630, 13563, 7732, 5948, 1070, 543, 814, 2965, 20335, 1102, 18081, 1851, 513, 1906, 540, 519, 13915, 267, 3506, 543, 5339, 3906, 585, 922, 6654, 968, 341, 592, 3258, 892, 543, 968, 4752, 2056, 892, 1893, 563, 1103, 519, 18175, 24612, 1867, 540, 519, 1977, 7732, 5948, 267, 519, 1404, 5991, 913, 30592, 814, 986, 22486, 909, 606, 5140, 759, 636, 2946, 540, 3875, 14327, 689, 3506, 543, 540, 2516, 945, 723, 2965, 13986, 547, 4894, 519, 1433, 689, 741, 21684, 585, 922, 1527, 534, 640, 543, 28067, 1893, 269, 10765, 5638, 1397, 602, 538, 519, 1296, 476, 1220, 271, 268, 1220, 274, 4805, 267, 2947, 1164, 25217, 338, 2066, 519, 4182, 723, 5018, 519, 960, 607, 13934, 2094, 519, 1433, 3568, 968, 24055, 1793, 2720, 267, 1025, 5684, 1335, 344, 267, 5208, 267, 543, 1281, 711, 2099, 3044, 702, 2195, 630, 13563, 7732, 5948, 264, 9731, 26807, 569, 519, 960, 2882, 1808, 1587, 607, 666, 581, 29742, 539, 689, 519, 4901, 543, 519, 3875, 4638, 543, 7292, 7840, 269, 8616, 10502, 1813, 547, 519, 1249, 602, 540, 519, 8521, 2431, 543, 3006, 796, 777, 860, 2045, 2126, 538, 922, 1603, 267, 519, 1650, 2501, 547, 1272, 693, 2407, 3196, 609, 922, 1490, 1393, 2705, 9758, 4480, 269, 634, 2278, 568, 547, 581, 25343, 267, 543, 7654, 519, 960, 581, 6035, 2347, 5491, 1932, 267, 585, 711, 28855, 1944, 519, 8699, 540, 519, 1570, 585, 513, 15777, 543, 811, 3617, 4528, 563, 763, 1650, 1223, 711, 723, 2965, 1044, 7654, 5143, 538, 1022, 824, 1259, 269, 1280, 952, 621, 941, 547, 581, 22012, 1055, 540, 922, 2877, 24970, 1027, 757, 1471, 268, 14504, 23724, 922, 3119, 21044, 16786, 267, 538, 519, 6073, 602, 789, 616, 1085, 584, 22567, 748, 547, 519, 12823, 267, 1287, 621, 1131, 581, 1732, 602, 519, 3209, 5055, 1185, 2965, 711, 1044, 7768, 693, 782, 269, 898, 1131, 6157, 2887, 6366, 593, 922, 3068, 1185, 519, 1587, 1543, 941, 588, 4459, 523, 1055, 896, 18594, 675, 269, 1703, 568, 1100, 1732, 1259, 547, 2995, 519, 1650, 982, 547, 2995, 621, 607, 2067, 543, 10853, 607, 2009, 269, 3627, 23415, 20198, 12913, 713, 2864, 5578, 2685, 543, 11207, 538, 1010, 3209, 5055, 563, 288, 3728, 5619, 540, 5339, 6437, 2429, 519, 1585, 9945, 1131, 1397, 602, 519, 1433, 568, 16565, 513, 2178, 17945, 538, 3506, 543, 824, 3450, 4025, 269, 634, 960, 568, 1373, 6026, 607, 513, 4105, 851, 540, 1977, 9085, 2059, 609, 824, 30940, 1568, 540, 519, 2540, 281, 634, 7083, 540, 519, 4469, 625, 267, 5261, 7108, 532, 282, 634, 7822, 31947, 267, 7705, 21701, 267, 1677, 26332, 3729, 513, 631, 20689, 267, 22489, 10557, 1851, 1866, 269, 5549, 1211, 958, 267, 891, 616, 519, 3169, 1482, 2835, 7074, 607, 17049, 543, 13934, 630, 291, 1195, 548, 264, 1932, 563, 13010, 267, 972, 616, 3450, 543, 1353, 10274, 2139, 585, 519, 960, 602, 1131, 5512, 513, 5857, 704, 543, 3573, 1620, 540, 922, 2796, 543, 3197, 269, 634, 26189, 528, 779, 6651, 547, 3627, 23415, 20198, 779, 2986, 631, 823, 543, 9093, 267, 585, 3236, 267, 568, 968, 9188, 11220, 547, 948, 3610, 538, 3001, 519, 27466, 525, 3564, 519, 2627, 1858, 1650, 540, 23415, 20198, 779, 3209, 5055, 892, 630, 3725, 539, 267, 476, 273, 1040, 22353, 267, 519, 3391, 6411, 607, 513, 1907, 547, 2062, 342, 7568, 519, 3988, 540, 519, 9921, 1570, 540, 519, 1650, 267, 2705, 3091, 513, 2143, 5650, 547, 1294, 2250, 519, 11315, 19799, 906, 540, 519, 960, 543, 5965, 519, 1362, 585, 513, 9735, 543, 11791, 4901, 563, 7049, 9334, 569, 267, 519, 960, 568, 811, 982, 1175, 606, 856, 10767, 560, 540, 22880, 2592, 543, 6596, 1893, 269, 634, 6219, 18284, 519, 2627, 2488, 513, 726, 523, 3363, 540, 6163, 543, 4798, 3850, 513, 1454, 1732, 14696, 540, 2413, 6377, 3332, 269, 769, 2110, 267, 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 ]
[ 8257, 585, 3606, 5583, 269, 1403, 519, 3461, 814, 513, 2564, 6595, 543, 596, 991, 547, 1289, 476, 26605, 267, 711, 1518, 519, 7006, 2255, 10986, 602, 519, 3461, 814, 267, 610, 568, 1373, 11117, 585, 5046, 268, 866, 563, 275, 13034, 1787, 3835, 2818, 1058, 3251, 538, 1776, 4055, 610, 581, 9674, 689, 519, 3461, 607, 1454, 607, 2009, 269, 5600, 3835, 2818, 1058, 946, 513, 5094, 23103, 543, 19880, 267, 952, 2139, 563, 276, 6993, 341, 1355, 1804, 2621, 543, 2527, 19771, 563, 277, 6993, 341, 1355, 2673, 3346, 630, 12671, 476, 277, 3952, 264, 609, 4896, 945, 568, 7210, 610, 814, 2589, 563, 278, 269, 16605, 3845, 1063, 3054, 543, 1866, 952, 5046, 268, 866, 568, 10825, 538, 707, 2146, 267, 2523, 952, 596, 723, 513, 2362, 1981, 540, 3978, 4576, 563, 279, 15030, 1662, 707, 3946, 1419, 609, 12853, 543, 1216, 585, 693, 2547, 476, 736, 7643, 267, 610, 946, 606, 4568, 2861, 1688, 24846, 6500, 602, 3568, 693, 2547, 476, 2568, 260, 4568, 563, 280, 5861, 1478, 707, 5023, 543, 9224, 609, 707, 23969, 610, 513, 5160, 950, 596, 11522, 610, 14229, 324, 2763, 269, 774, 992, 2476, 519, 1031, 5160, 563, 1015, 6993, 341, 1355, 15700, 707, 4064, 267, 9224, 543, 5023, 952, 707, 3946, 5749, 1406, 2973, 563, 1556, 269, 26835, 1753, 689, 960, 267, 1153, 543, 1857, 2127, 952, 596, 2461, 7210, 267, 8259, 596, 2461, 2469, 547, 1205, 2564, 1416, 269, 3680, 2921, 1857, 6283, 952, 596, 2461, 7210, 563, 1321, 6993, 341, 1355, 4189, 6151, 610, 896, 322, 10541, 5779, 610, 3662, 8219, 563, 1724, 6993, 341, 1355, 3346, 609, 2661, 2831, 543, 7252, 789, 949, 723, 20109, 952, 596, 2461, 9683, 2661, 6990, 538, 2127, 602, 723, 5063, 1185, 1007, 11452, 2665, 563, 1691, 269, 3682, 3031, 527, 8436, 945, 798, 711, 723, 606, 1898, 991, 547, 581, 538, 519, 1753, 563, 1428, 13034, 1787, 3835, 2818, 1058, 1416, 585, 1022, 10130, 538, 519, 1753, 269, 1684, 711, 6023, 10130, 610, 824, 2831, 1247, 7210, 563, 1626, 8160, 820, 2386, 602, 3838, 5624, 538, 519, 1753, 723, 1434, 2011, 2095, 267, 971, 607, 676, 606, 2011, 30690, 610, 606, 8118, 6885, 267, 4365, 28498, 563, 1704, 6993, 341, 1355, 4687, 7622, 3688, 609, 519, 3461, 269, 1411, 1058, 711, 2671, 8286, 267, 6704, 14296, 267, 11680, 267, 4189, 27022, 267, 28734, 267, 28945, 267, 610, 824, 3688, 269, 2991, 519, 3461, 3096, 891, 3688, 267, 596, 1058, 11547, 873, 8499, 563, 1240, 15030, 1662, 27445, 8499, 563, 866, 269, 3412, 9712, 2299, 4894, 543, 11547, 9660, 610, 28945, 602, 723, 1973, 267, 22454, 267, 610, 1560, 12862, 593, 873, 563, 736, 15030, 792, 25551, 17309, 1247, 7829, 3037, 539, 3688, 543, 1832, 3037, 539, 3688, 2476, 689, 707, 1560, 269, 11162, 707, 3946, 630, 5976, 12853, 543, 1216, 610, 606, 4568, 2861, 1688, 24846, 6500, 264, 5612, 1310, 9427, 707, 17309, 563, 2641, 19403, 543, 1246, 8846, 593, 10297, 540, 27445, 610, 7802, 3688, 543, 28052, 550, 269, 769, 2489, 267, 1210, 513, 3339, 27445, 28052, 550, 2687, 547, 11067, 3684, 5528, 543, 3819, 8499, 1210, 519, 3636, 652, 5210, 5227, 593, 519, 7802, 6003, 563, 272, 6993, 341, 1355, 4189, 610, 6704, 538, 1857, 4025, 454, 3086, 568, 711, 519, 942, 547, 979, 856, 547, 3548, 269, 901, 1797, 9319, 14060, 267, 6995, 15945, 267, 13063, 267, 543, 824, 552, 831, 625, 269, 634, 3644, 666, 581, 10299, 998, 1426, 267, 27022, 267, 8286, 267, 543, 11680, 269, 898, 949, 849, 581, 23197, 689, 824, 1004, 538, 519, 28379, 563, 2791, 666, 1869, 1205, 6765, 610, 1491, 12537, 1426, 269, 7994, 3536, 602, 616, 8499, 11273, 543, 666, 581, 24667, 730, 269, 4400, 3002, 630, 520, 2547, 476, 15171, 13790, 270, 6321, 9180, 267, 2687, 547, 835, 2487, 267, 711, 3917, 564, 24406, 518, 24595, 2978, 1353, 264, 2337, 547, 6146, 8318, 822, 21905, 269, 901, 1797, 621, 949, 581, 1655, 547, 2057, 4411, 3536, 689, 14060, 543, 782, 1426, 689, 10889, 1115, 543, 1930, 19997, 13063, 563, 273, 2529, 1409, 6709, 5875, 710, 952, 7210, 454, 24445, 707, 4387, 952, 596, 723, 1022, 2589, 269, 13773, 1753, 2394, 596, 9156, 269, 3680, 9361, 267, 12008, 267, 610, 4189, 609, 707, 6068, 3283, 1256, 952, 2661, 538, 519, 1482, 1753, 563, 310, 792, 513, 9633, 543, 11547, 707, 3946, 607, 1454, 607, 2009, 269, 1403, 596, 991, 14849, 2564, 1416, 267, 5957, 513, 9633, 543, 1577, 873, 917, 596, 949, 723, 5046, 268, 866, 563, 274, 6993, 341, 1355, 15700, 707, 3068, 454, 306, 12678, 17336, 268, 273, 666, 2661, 593, 2182, 7252, 585, 909, 547, 476, 7761, 3108, 269, 1411, 666, 1205, 519, 3644, 593, 707, 3946, 952, 596, 5905, 513, 2627, 899, 513, 798, 1251, 333, 984, 267, 3154, 6802, 6023, 267, 610, 707, 1591, 6049, 563, 22879, 15700, 1022, 851, 540, 707, 3068, 610, 2212, 1519, 707, 5023, 267, 9224, 267, 543, 4064, 269, 4746, 2057, 24146, 707, 9491, 1716, 5661, 269, 901, 666, 2285, 16568, 17336, 268, 273, 513, 4960, 547, 979, 689, 707, 3946, 883, 707, 1560, 563, 275, 269, 1805, 641, 24373, 3946, 543, 554, 19982, 1004, 2443, 585, 1631, 454, 20118, 267, 2057, 15700, 824, 1004, 269, 16164, 547, 2960, 3346, 666, 1780, 16568, 17336, 268, 273, 689, 835, 1268, 547, 1776, 563, 21982, 891, 6604, 2994, 12517, 568, 5393, 1271, 547, 3247, 519, 3262, 540, 713, 3644, 269, 28552, 1434, 9882, 267, 1739, 891, 4808, 267, 543, 8716, 707, 2828, 543, 1920, 547, 798, 519, 1482, 786, 979, 513, 1279, 1259, 538, 7303, 519, 3262, 540, 16568, 17336, 268, 273, 269, 0, 763, 22845, 540, 513, 4279, 568, 588, 565, 539, 513, 2262, 454, 296, 723, 4862, 519, 2165, 968, 560, 565, 539, 892, 538, 519, 2048, 3199, 338, 543, 2048, 3445, 338, 607, 1454, 607, 594, 666, 2161, 827, 621, 269, 594, 723, 1031, 621, 513, 1906, 2053, 2221, 547, 4766, 875, 594, 723, 1031, 621, 267, 543, 594, 3580, 10956, 621, 538, 519, 2104, 563, 763, 1966, 609, 1210, 519, 2165, 968, 560, 565, 539, 892, 568, 602, 621, 568, 513, 10902, 267, 543, 538, 519, 2296, 1893, 602, 568, 835, 540, 519, 1034, 2352, 1913, 547, 1689, 883, 513, 8231, 269, 898, 568, 849, 513, 10902, 602, 1034, 1004, 1810, 1406, 1174, 267, 543, 2899, 1586, 267, 1034, 1004, 616, 519, 835, 945, 616, 2469, 547, 1689, 602, 269, 634, 1966, 568, 267, 594, 1589, 519, 2165, 568, 1031, 607, 513, 10902, 267, 855, 621, 568, 513, 8231, 267, 543, 649, 723, 547, 1689, 621, 883, 513, 8231, 563, 1103, 2296, 267, 519, 8231, 547, 588, 1961, 568, 513, 10902, 538, 602, 621, 568, 513, 10902, 602, 649, 666, 946, 607, 513, 8231, 269, 2986, 1576, 267, 588, 1961, 568, 711, 513, 10902, 538, 519, 2296, 1893, 267, 855, 649, 666, 946, 621, 607, 513, 8231, 269, 1284, 666, 946, 621, 607, 513, 8231, 950, 649, 968, 560, 1961, 892, 513, 1286, 267, 610, 950, 649, 968, 560, 1961, 892, 2576, 779, 5491, 3556, 269, 1284, 666, 849, 946, 621, 607, 513, 8231, 950, 649, 21102, 1945, 689, 2576, 676, 3196, 563, 2252, 594, 941, 596, 267, 594, 8910, 946, 519, 8231, 538, 713, 2013, 607, 1279, 607, 594, 1810, 1406, 723, 547, 6108, 1022, 2724, 593, 803, 610, 1250, 5491, 6486, 269, 1809, 594, 6557, 711, 835, 547, 6108, 2724, 593, 803, 269, 594, 666, 946, 519, 8231, 538, 513, 1114, 1259, 563, 1607, 568, 835, 540, 1346, 3871, 1141, 649, 666, 946, 519, 8231, 538, 519, 2631, 540, 27560, 267, 855, 649, 723, 547, 1589, 827, 621, 538, 519, 2631, 540, 17403, 269, 1284, 723, 547, 2243, 2436, 519, 1004, 3775, 6883, 721, 616, 1175, 555, 773, 1407, 610, 2436, 789, 616, 1175, 555, 773, 1407, 945, 616, 849, 1210, 721, 563, 1607, 568, 513, 1434, 1383, 540, 875, 649, 666, 946, 519, 8231, 538, 519, 2631, 540, 27560, 267, 855, 1589, 827, 621, 538, 519, 2631, 540, 17403, 269, 589, 2603, 540, 519, 942, 1004, 945, 21102, 689, 721, 616, 1175, 555, 773, 1407, 945, 616, 3843, 547, 1205, 2724, 585, 5061, 3079, 269, 6145, 594, 4076, 2907, 1767, 267, 5061, 1810, 1406, 2628, 782, 602, 1134, 538, 519, 1279, 2196, 563, 763, 2262, 568, 849, 513, 2370, 30414, 269, 898, 2115, 547, 581, 25250, 538, 519, 2942, 2230, 269, 1924, 649, 666, 2161, 649, 588, 1961, 689, 596, 1310, 649, 4076, 7745, 519, 4871, 269, 1879, 649, 2461, 711, 27560, 267, 621, 779, 1175, 513, 10375, 1259, 547, 1205, 5491, 585, 782, 519, 2724, 649, 4076, 6394, 269, 1809, 267, 1631, 649, 2461, 3843, 547, 2736, 519, 4871, 543, 1205, 938, 2724, 1394, 563, 2171, 798, 723, 513, 2262, 585, 950, 596, 21102, 689, 721, 269, 594, 3580, 1289, 621, 588, 565, 539, 269, 898, 568, 950, 596, 21645, 2285, 721, 1022, 2724, 267, 855, 3079, 723, 513, 19619, 540, 707, 1378, 2724, 602, 649, 1616, 1394, 269, 1411, 1223, 1289, 621, 519, 3017, 1063, 27560, 543, 24228, 563, 3719, 267, 538, 513, 1158, 1141, 513, 5479, 1004, 616, 8384, 596, 267, 621, 779, 7168, 2653, 547, 1294, 1946, 2576, 1131, 21102, 689, 596, 563, 763, 2262, 588, 565, 539, 568, 606, 4277, 835, 267, 1317, 621, 666, 581, 1031, 547, 4766, 513, 3099, 540, 3871, 602, 1522, 581, 9228, 607, 27560, 269, 2290, 1383, 1131, 581, 602, 540, 513, 1268, 945, 814, 513, 2603, 540, 2724, 543, 513, 2603, 540, 1004, 8384, 1864, 21102, 621, 269, 6271, 1383, 1223, 581, 602, 540, 513, 1268, 945, 814, 513, 2603, 540, 2724, 543, 513, 2603, 540, 1004, 8384, 1864, 21102, 621, 269, 0, 1432, 1772, 700, 273, 9143, 270, 7709, 5913, 888, 299, 273, 9143, 270, 7709, 5913, 630, 299, 9707, 476, 273, 20658, 6773, 532, 16257, 270, 25542, 16257, 8232, 264, 568, 513, 4999, 540, 1079, 5150, 2792, 10873, 1031, 547, 3715, 5691, 4357, 5121, 630, 309, 14149, 338, 1040, 700, 273, 9143, 5932, 519, 15993, 585, 1239, 6771, 267, 1247, 7379, 5913, 2488, 519, 14238, 543, 17452, 547, 2327, 22637, 543, 8699, 540, 519, 1239, 563, 268, 10374, 9502, 912, 268, 27326, 9502, 912, 299, 273, 9143, 270, 7709, 5913, 630, 299, 9707, 476, 273, 20658, 6773, 532, 16257, 270, 25542, 16257, 8232, 264, 568, 513, 19504, 630, 29919, 17721, 8416, 264, 2029, 602, 10905, 1079, 3982, 10873, 547, 5512, 5150, 543, 4357, 2792, 936, 519, 4950, 269, 700, 273, 9143, 3252, 607, 519, 15993, 532, 7014, 267, 3743, 585, 2870, 519, 5150, 4276, 1063, 519, 7817, 543, 519, 7746, 267, 6466, 7379, 5913, 8591, 513, 4494, 540, 14238, 543, 17452, 547, 2149, 519, 10299, 1239, 563, 763, 700, 273, 9143, 5057, 20964, 513, 9266, 4276, 610, 968, 339, 684, 6773, 892, 1063, 519, 7817, 779, 3926, 543, 519, 19504, 7746, 267, 14123, 519, 20206, 1637, 540, 1239, 21168, 585, 5150, 6771, 269, 898, 1281, 711, 1683, 14238, 3294, 855, 12346, 593, 7379, 5913, 585, 713, 3483, 269, 7379, 5913, 267, 593, 519, 824, 1688, 267, 3091, 7347, 14238, 6620, 267, 4180, 602, 1239, 3788, 14804, 543, 9580, 12023, 689, 18977, 1569, 610, 954, 4003, 1282, 18302, 563, 763, 4999, 540, 700, 273, 9143, 543, 7379, 5913, 2306, 700, 273, 9143, 270, 7709, 5913, 513, 4922, 1031, 19504, 3070, 267, 1634, 585, 922, 2178, 3354, 2934, 543, 17356, 609, 1585, 5665, 1949, 543, 3457, 269, 1635, 17278, 532, 1239, 693, 519, 7379, 1377, 543, 9591, 513, 5150, 15993, 267, 700, 273, 9143, 270, 7709, 5913, 2488, 3755, 609, 513, 5150, 543, 4357, 4276, 267, 1818, 621, 4998, 585, 6552, 4600, 267, 4213, 267, 543, 2043, 5275, 547, 2149, 741, 2228, 10618, 689, 1761, 6937, 543, 6880, 3430, 2931, 563, 1103, 513, 2428, 9917, 961, 267, 700, 273, 9143, 270, 7709, 5913, 568, 513, 15993, 532, 7014, 2966, 547, 2327, 3354, 543, 7834, 585, 5691, 4357, 5121, 269, 1635, 9256, 700, 273, 9143, 543, 7379, 5913, 10873, 267, 621, 20964, 513, 5150, 4276, 1063, 7218, 543, 19504, 13763, 269, 700, 273, 9143, 270, 7709, 5913, 568, 4922, 6462, 543, 3091, 7347, 3354, 2934, 269, 1717, 267, 621, 1058, 581, 7074, 602, 519, 7014, 1522, 3068, 2152, 609, 3595, 31486, 543, 568, 2808, 1447, 5150, 3379, 547, 18960, 19504, 10873, 2139, 2221, 563, 2690, 811, 8847, 267, 2638, 856, 938, 6131, 26479, 5903, 269, 0, 763, 24575, 540, 12674, 538, 519, 2923 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1283, 1857, 8642, 1374, 3506, 540, 476, 1708, 272, 888, 347, 272, 1475, 22139, 10491, 3557, 2160, 693, 681, 1446, 662, 1475, 22139, 10491, 1475, 272, 260, 2008, 347, 273, 1475, 309, 597, 6265, 807, 20448, 2160, 1475, 309, 597, 6265, 807, 1475, 272, 260, 2008, 347, 274, 1475, 17206, 540, 7147, 693, 21388, 1475, 307, 1410, 553, 1475, 272, 260, 2008, 347, 275, 1475, 17206, 540, 3345, 7147, 1475, 307, 1410, 553, 1475, 272, 260, 2008, 347, 276, 1475, 17206, 540, 595, 32385, 10620, 1475, 17764, 1470, 1475, 273, 260, 2008, 347, 277, 1475, 288, 13252, 3557, 2160, 1475, 288, 13252, 1475, 273, 260, 2008, 347, 278, 1475, 17206, 540, 4993, 267, 11968, 13353, 1475, 30210, 1475, 274, 260, 2008, 347, 279, 1475, 17206, 540, 13325, 693, 12124, 320, 16644, 2086, 5218, 1475, 26877, 12437, 1475, 274, 260, 2008, 347, 280, 1475, 17206, 540, 6115, 1475, 29910, 1475, 274, 260, 2008, 347, 1015, 1475, 17206, 540, 13325, 693, 9628, 1475, 26877, 12437, 1475, 275, 260, 2008, 347, 1556, 1475, 17206, 540, 17857, 1475, 298, 12436, 1475, 275, 260, 2008, 347, 1724, 1475, 763, 11882, 3557, 2160, 1475, 17764, 1470, 1475, 276, 260, 2008, 347, 1691, 1475, 293, 5831, 4659, 540, 5303, 1475, 6124, 3840, 1475, 276, 260, 2008, 347, 1428, 1475, 22709, 11637, 5441, 540, 3203, 543, 5071, 1475, 22709, 11637, 1475, 276, 260, 2008, 347, 1626, 1475, 26596, 17630, 853, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 30655, 894, 24218, 257, 607, 851, 540, 834, 11286, 1315, 26888, 267, 18280, 9233, 267, 1401, 3031, 1431, 1315, 6828, 31698, 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, 1012, 13216, 10606, 543, 15932, 1145, 281, 9198, 908, 13216, 1133, 3202, 2037, 14517, 4223, 4631, 692, 1103, 713, 1770, 267, 649, 786, 2263, 1950, 2338, 267, 4351, 1145, 267, 543, 875, 547, 5352, 1950, 1770, 776, 26254, 14290, 1210, 5124, 269, 1284, 3513, 1376, 676, 1620, 1950, 2338, 543, 4351, 1145, 267, 543, 1287, 649, 3513, 4685, 883, 519, 2016, 3009, 6256, 547, 1451, 875, 621, 12958, 1950, 1770, 776, 26254, 14290, 780, 2162, 13216, 10606, 692, 4467, 14658, 2338, 616, 513, 4999, 540, 1483, 543, 16494, 2338, 269, 1358, 616, 2854, 538, 519, 1106, 540, 1269, 320, 1341, 1979, 8961, 1141, 1269, 320, 259, 543, 1269, 321, 259, 616, 1483, 2338, 267, 543, 1269, 328, 259, 568, 519, 16494, 1770, 269, 634, 16494, 1770, 1269, 328, 259, 568, 3989, 607, 1269, 328, 317, 273, 815, 910, 272, 10608, 13216, 2338, 616, 1031, 538, 1585, 4610, 267, 971, 607, 6323, 267, 4702, 267, 543, 6128, 780, 2162, 15932, 1145, 692, 305, 24655, 1145, 568, 519, 3668, 540, 4806, 610, 3589, 1464, 538, 2621, 269, 769, 5752, 267, 649, 1419, 946, 4351, 1145, 547, 5352, 20437, 2418, 267, 971, 607, 4351, 2338, 269, 5124, 814, 513, 3710, 2987, 9074, 1572, 2387, 12690, 319, 602, 649, 666, 946, 547, 5352, 4351, 2338, 780, 2162, 7383, 532, 23905, 692, 6524, 649, 1376, 267, 1577, 781, 1118, 2386, 649, 723, 519, 2556, 8021, 8704, 543, 16865, 269, 1284, 3513, 991, 2387, 31596, 12452, 799, 568, 513, 5399, 585, 10230, 4238, 267, 543, 2387, 12690, 12452, 799, 568, 513, 3710, 2987, 5124, 9074, 585, 10451, 4351, 2338, 780, 3499, 7090, 454, 5814, 11885, 607, 5286, 454, 5814, 4351, 454, 7884, 2162, 4197, 519, 9717, 8943, 10965, 2089, 564, 692, 763, 2016, 3009, 6256, 11225, 513, 1362, 1572, 2387, 4467, 14658, 4462, 3202, 5319, 14517, 319, 602, 9100, 1080, 689, 1776, 1362, 1572, 2387, 5319, 14517, 18269, 2913, 781, 2736, 1524, 519, 3009, 543, 1174, 1018, 621, 1281, 780, 2971, 19461, 1436, 692, 3499, 7090, 454, 5035, 13216, 4462, 3202, 5319, 14517, 263, 5319, 14517, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 631, 267, 715, 267, 4336, 284, 272, 2187, 1038, 1582, 8160, 815, 631, 454, 1038, 1582, 12991, 815, 715, 454, 1038, 1582, 269, 29173, 815, 4336, 454, 1038, 1582, 18622, 1440, 318, 8181, 4590, 7884, 763, 2387, 1029, 8181, 1029, 319, 1505, 568, 513, 2027, 1505, 538, 5124, 5049, 602, 568, 8850, 1572, 950, 606, 1843, 540, 602, 1362, 568, 2813, 269, 769, 713, 2013, 267, 519, 2387, 1029, 8181, 1029, 319, 1505, 3217, 1614, 6724, 281, 2387, 300, 12452, 2387, 301, 12452, 543, 2387, 29173, 18269, 1452, 6724, 616, 1031, 547, 3355, 1125, 519, 10305, 540, 519, 2387, 4467, 14658, 4462, 3202, 5319, 14517, 319, 1362, 780, 2971, 9198, 908, 13216, 1133, 3202, 2037, 14517, 4223, 4631, 692, 3499, 7090, 454, 3698, 5352, 4311, 2187, 825, 5727, 7049, 4733, 1950, 1770, 776, 26254, 5119, 780, 825, 16849, 454, 825, 476, 9339, 8894, 825, 910, 2473, 2433, 5044, 540, 3337, 630, 300, 267, 715, 994, 1038, 2473, 9625, 552, 3867, 328, 943, 328, 8679, 1038, 943, 328, 9625, 1133, 604, 263, 271, 282, 273, 265, 7032, 994, 825, 8173, 825, 2473, 815, 5286, 269, 10339, 263, 273, 2608, 5286, 32564, 2608, 476, 272, 329, 2608, 5286, 20179, 26509, 6134, 4433, 1125, 14352, 1345, 8160, 267, 1582, 12991, 21875, 825, 2132, 2473, 454, 7884, 763, 2387, 2102, 4733, 319, 1505, 568, 1031, 547, 5352, 1950, 1770, 776, 26254, 14290, 269, 898, 7024, 606, 5044, 2387, 311, 319, 540, 3337, 25464, 300, 267, 715, 264, 12452, 1141, 2387, 300, 319, 543, 2387, 301, 319, 616, 519, 7516, 540, 519, 5119, 780, 763, 4082, 2387, 324, 3867, 328, 943, 328, 348, 319, 568, 25586, 781, 4542, 267, 799, 12211, 1950, 12825, 338, 547, 25066, 3252, 269, 769, 713, 2013, 267, 2387, 12978, 319, 568, 513, 4351, 1297, 1063, 476, 271, 543, 476, 273, 11027, 267, 799, 568, 6383, 1210, 519, 2387, 12639, 20179, 26509, 6134, 319, 1599, 780, 763, 2387, 272, 329, 319, 538, 519, 4082, 2387, 273, 2608, 5286, 32564, 2608, 476, 272, 329, 2608, 5286, 20179, 26509, 6134, 4433, 1125, 14352, 1345, 8160, 267, 1582, 12991, 4297, 319, 568, 519, 16494, 1770, 1269, 328, 259, 538, 5124, 269, 5564, 28745, 513, 1483, 1297, 676, 2387, 272, 329, 319, 3947, 513, 17033, 16494, 1297, 780, 763, 2387, 12639, 269, 10339, 319, 1599, 21410, 519, 12825, 540, 782, 2609, 538, 519, 3403, 5044, 269, 769, 713, 2013, 267, 621, 21410, 519, 12825, 540, 519, 1950, 2338, 6383, 676, 2387, 273, 2608, 5286, 32564, 2608, 476, 272, 329, 2608, 5286, 20179, 26509, 6134, 4433, 1125, 14352, 1345, 8160, 267, 1582, 12991, 4297, 27471, 2162, 10390, 692, 1103, 713, 1770, 267, 649, 4121, 827, 1950, 2338, 267, 4351, 1145, 267, 543, 875, 547, 5352, 1950, 1770, 776, 26254, 14290, 1210, 5124, 269, 1284, 13264, 1524, 519, 2016, 3009, 6256, 543, 6956, 875, 621, 3096, 1950, 2338, 543, 4351, 1145, 547, 5352, 891, 14290, 269, 901, 1702, 666, 581, 4294, 538, 1585, 4610, 267, 971, 607, 6323, 267, 4702, 267, 543, 6128, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 5814, 11885, 607, 5286, 454, 5228, 1547, 19668, 318, 1619, 18037, 1104, 2037, 14517, 7531, 5035, 13216, 4462, 3202, 5319, 14517, 263, 5319, 14517, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 631, 267, 715, 267, 4336, 284, 272, 2187, 1038, 1582, 8160, 815, 631, 454, 1038, 1582, 12991, 815, 715, 454, 1038, 1582, 269, 29173, 815, 4336, 454, 1038, 1582, 18622, 1440, 318, 8181, 10797, 825, 1219, 5352, 4311, 2187, 1038, 5727, 7049, 4733, 1950, 1770, 776, 26254, 5119, 780, 1038, 16849, 454, 1038, 476, 9339, 8894, 1038, 910, 2473, 2433, 5044, 540, 3337, 630, 300, 267, 715, 994, 2018, 2473, 9625, 552, 3867, 328, 943, 328, 8679, 2018, 943, 328, 9625, 1133, 604, 263, 271, 282, 273, 265, 7032, 994, 1038, 8173, 1038, 2473, 815, 5286, 269, 10339, 263, 273, 2608, 5286, 32564, 2608, 476, 272, 329, 2608, 5286, 20179, 26509, 6134, 4433, 1125, 14352, 1345, 8160, 267, 1582, 12991, 21875, 1038, 2132, 2473, 454, 8199, 2237, 606, 3573, 543, 2143, 1837, 1770, 609, 19900, 1257, 543, 3009, 12612, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 1100, 1991, 1702, 540, 519, 1641, 269, 634, 1837, 1058, 3895, 7744, 543, 20201, 1983, 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, 912, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 23299, 25042, 543, 12186, 5811, 630, 293, 10933, 288, 264, 910, 18227, 26682, 26121, 3911, 26743, 569, 692, 5970, 596, 2479, 9289, 875, 1919, 960, 538, 2462, 15327, 286, 1703, 616, 865, 1082, 5863, 6191, 602, 948, 1711, 6517, 267, 11418, 267, 543, 1256, 2679, 2326, 256, 1809, 1018, 4523, 950, 835, 540, 891, 6191, 9397, 1524, 286, 898, 666, 2014, 513, 2603, 540, 2042, 267, 899, 17799, 538, 1818, 2472, 543, 3063, 3790, 585, 18203, 269, 2334, 781, 1141, 938, 1888, 2221, 2501, 538, 281, 23299, 25042, 543, 12186, 5811, 267, 610, 674, 10933, 288, 585, 2110, 269, 901, 4702, 1907, 2337, 721, 1265, 543, 4368, 2152, 1354, 789, 1831, 2101, 14331, 256, 2913, 781, 4685, 883, 519, 1158, 540, 674, 10933, 288, 543, 1451, 875, 621, 8952, 1346, 12051, 6191, 4881, 12347, 780, 1262, 6637, 476, 272, 281, 1548, 568, 674, 10933, 288, 286, 2878, 692, 5331, 596, 723, 513, 11442, 1286, 267, 543, 596, 1616, 547, 1118, 2386, 621, 2760, 13515, 2324, 269, 1411, 1131, 2638, 585, 1022, 2009, 2081, 621, 1223, 2736, 630, 3697, 952, 519, 14743, 2887, 1055, 610, 519, 2599, 10523, 1070, 543, 1287, 1589, 827, 875, 547, 2061, 1346, 2042, 269, 2334, 781, 4010, 1018, 8030, 798, 609, 674, 10933, 288, 256, 1358, 1413, 693, 782, 519, 1114, 2081, 1945, 1522, 3111, 267, 4137, 856, 1018, 2360, 1142, 5821, 1223, 723, 267, 543, 2097, 909, 609, 4566, 547, 3247, 873, 689, 8345, 269, 1635, 3257, 713, 267, 649, 666, 1832, 3388, 4881, 12347, 543, 2057, 14427, 26208, 780, 1262, 6637, 476, 273, 281, 27915, 13560, 519, 6713, 2878, 692, 4131, 781, 1491, 513, 6251, 1413, 693, 875, 674, 10933, 288, 1568, 1900, 676, 1900, 1384, 272, 269, 10576, 1761, 14286, 281, 6056, 827, 1169, 2370, 3364, 602, 1223, 979, 4636, 609, 707, 3684, 610, 1587, 269, 1280, 1383, 267, 4952, 596, 2811, 3168, 693, 606, 13128, 7143, 1457, 538, 513, 12051, 1107, 930, 1761, 14286, 1522, 581, 13451, 344, 7143, 1091, 267, 7745, 12904, 267, 610, 3765, 7955, 539, 2694, 563, 273, 269, 21302, 519, 1764, 281, 4495, 596, 4312, 7396, 782, 519, 2009, 14286, 267, 1589, 827, 1018, 1131, 4755, 952, 1142, 835, 7018, 269, 14348, 621, 3500, 1524, 2504, 286, 8073, 22247, 2175, 286, 2107, 6148, 3653, 3407, 2200, 286, 24419, 519, 3978, 1145, 540, 1142, 1198, 547, 1174, 799, 3283, 991, 3007, 1101, 563, 274, 269, 26875, 1125, 1759, 593, 1981, 281, 28799, 519, 10171, 540, 1142, 5821, 609, 922, 10335, 547, 3313, 519, 2949, 1981, 269, 8409, 14286, 609, 2362, 4220, 1205, 10862, 1317, 789, 1223, 2014, 1713, 2042, 563, 275, 269, 3763, 3435, 281, 3767, 602, 596, 917, 799, 14286, 10460, 519, 1034, 1981, 267, 16540, 2081, 547, 2061, 610, 11574, 873, 269, 9320, 596, 1223, 1039, 811, 2834, 24422, 267, 2087, 2866, 585, 12427, 267, 610, 22010, 1978, 3334, 269, 7994, 519, 1655, 3070, 4433, 264, 1759, 593, 7145, 267, 23250, 267, 543, 1942, 563, 276, 269, 5623, 543, 9337, 281, 1306, 942, 4422, 593, 267, 30603 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 543, 519, 1862, 3657, 851, 540, 519, 7944, 18429, 540, 4023, 2229, 4016, 547, 513, 6240, 540, 519, 1614, 7916, 2229, 269, 769, 1114, 2081, 476, 5038, 540, 519, 2596, 7293, 3741, 540, 11180, 7239, 4928, 950, 827, 269, 476, 4510, 267, 476, 7830, 543, 476, 5038, 540, 519, 9668, 540, 7060, 538, 9864, 9668, 540, 7060, 31065, 17337, 519, 5238, 540, 883, 1862, 3414, 938, 3015, 267, 15138, 267, 23913, 3292, 543, 2200, 267, 519, 17135, 29731, 9794, 906, 593, 1876, 12912, 513, 10579, 1287, 1862, 717, 1161, 1379, 547, 2322, 1876, 883, 2962, 676, 519, 4341, 540, 1876, 602, 519, 946, 540, 1379, 568, 835, 519, 269, 1677, 4019, 585, 16028, 267, 4891, 1590, 581, 9674, 585, 513, 1974, 540, 8959, 585, 1862, 22391, 476, 1626, 540, 519, 824, 1688, 267, 519, 7225, 26547, 568, 4830, 540, 519, 8241, 1062, 540, 2229, 1614, 269, 634, 18027, 302, 26342, 519, 2757, 5411, 540, 2197, 2429, 5245, 543, 1118, 4031, 3335, 3217, 2547, 256, 16390, 676, 799, 5245, 568, 2196, 1079, 8219, 1876, 995, 267, 543, 3576, 1198, 593, 476, 272, 476, 5002, 272, 1862, 25024, 1797, 602, 519, 1053, 1174, 602, 12057, 568, 513, 1747, 1141, 26110, 543, 1373, 1862, 634, 18591, 543, 13623, 11313, 1379, 547, 1118, 543, 4383, 8241, 1876, 1500, 269, 634, 5428, 543, 1896, 18787, 13934, 519, 1876, 3947, 1379, 547, 17982, 519, 4031, 9139, 6902, 568, 563, 293, 1515, 325, 1314, 6019, 9796, 17361, 476, 1708, 272, 267, 26346, 7689, 4643, 6168, 667, 8817, 1656, 18763, 1849, 13415, 267, 14559, 2334, 781, 1548, 594, 21763, 4446, 21884, 16200, 267, 772, 342, 9457, 781, 769, 6820, 2657, 267, 1215, 1677, 774, 514, 2098, 514, 1087, 518, 23642, 10021, 518, 267, 853, 9986, 2378, 13335, 16458, 1467, 267, 22503, 2107, 21058, 4436, 2701, 23311, 23749, 267, 0, 1432, 616, 1863, 18119, 454, 1103, 6915, 2275, 8707, 3157, 11179, 9648, 538, 519, 1480, 1560, 616, 5214, 543, 22803, 7135, 269, 634, 5449, 1331, 5946, 543, 11476, 267, 11950, 267, 26307, 267, 10399, 543, 31332, 7408, 630, 19091, 543, 10717, 1070, 824, 6878, 3812, 676, 10307, 3157, 269, 634, 2034, 267, 22803, 267, 666, 581, 11911, 1216, 543, 5135, 563, 30874, 5135, 6675, 616, 4646, 538, 519, 1560, 607, 513, 1267, 540, 519, 7244, 5832, 267, 621, 3322, 2516, 540, 24197, 5946, 13321, 5135, 31067, 676, 3425, 538, 20722, 27343, 2468, 874, 6664, 7595, 3679, 267, 513, 2707, 540, 1648, 585, 2281, 269, 1306, 513, 676, 28237, 540, 713, 1184, 267, 3742, 3029, 540, 5135, 616, 4646, 267, 2348, 606, 10002, 8529, 6475, 19788, 824, 8444, 543, 6675, 267, 4929, 606, 29252, 5832, 5114, 538, 519, 1560, 269, 1358, 723, 513, 3532, 19842, 4390, 543, 616, 1572, 968, 16451, 18119, 9731, 1432, 616, 5906, 1863, 18119, 454, 10403, 18119, 267, 1175, 607, 824, 1271, 7135, 6383, 538, 519, 1560, 1685, 1978, 12214, 3252, 281, 616, 3238, 538, 10282, 540, 513, 1297, 540, 6211, 22124, 267, 1852, 519, 1184, 540, 24931, 6077, 6821, 267, 12954, 2067, 23553, 1591, 2669, 563, 3719, 267, 952, 513, 5832, 5114, 5473, 1863, 18119, 5956, 267, 799, 666, 581, 15427, 676, 5739, 5007, 2360, 267, 519, 1184, 540, 741, 29252, 12093, 5956, 267, 607, 513, 1267, 540, 799, 949, 1689, 1344, 6402, 267, 3056, 547, 2242, 538, 519, 4719, 3009, 267, 17522, 540, 519, 2497, 540, 5946, 269, 259, 634, 4761, 1062, 602, 8060, 971, 13592, 17767, 873, 607, 606, 25983, 1275, 543, 13290, 547, 6861, 873, 269, 634, 1267, 568, 2860, 267, 1519, 26679, 267, 607, 1134, 607, 2295, 4713, 281, 19473, 29912, 267, 2295, 4323, 267, 8482, 267, 3092, 1421, 824, 4105, 8219, 563, 10403, 18119, 4646, 538, 1804, 2338, 6861, 1591, 17011, 267, 7674, 607, 513, 2186, 540, 4027, 540, 2281, 267, 799, 5012, 547, 519, 13250, 540, 5714, 538, 519, 1560, 267, 519, 12343, 540, 799, 568, 10172, 269, 769, 1840, 267, 519, 1377, 540, 7513, 1543, 849, 2242, 267, 799, 849, 1008, 10280, 519, 12136, 540, 1272, 4713, 269, 634, 454, 1410, 4156, 791, 28127, 602, 666, 12954, 971, 513, 5832, 5114, 666, 581, 5982, 610, 22292, 4598, 267, 2713, 538, 13476, 13818, 2127, 267, 5739, 2360, 540, 10269, 8673, 543, 9688, 3154, 269, 259, 2405, 923, 3494, 1426, 3638, 538, 9600, 666, 849, 9594, 606, 2333, 538, 519, 1297, 540, 1863, 18119, 538, 519, 1560, 563, 1692, 547, 9243, 1125, 519, 5739, 2360, 540, 1863, 18119, 454, 14722, 723, 1279, 1044, 7722, 538, 713, 3390, 267, 593, 799, 519, 1480, 1272, 19104, 5673, 269, 634, 946, 540, 2178, 14434, 630, 656, 9171, 1218, 264, 568, 519, 16185, 789, 2709, 2221, 269, 6341, 9482, 593, 8047, 2831, 267, 14434, 4847, 547, 2333, 741, 1272, 19104, 676, 476, 2412, 910, 2004, 10065, 634, 454, 16058, 1560, 568, 2111, 547, 10446, 3132, 14434, 267, 799, 616, 3833, 2614, 267, 607, 1279, 607, 2713, 2175, 798, 711, 4125, 17613, 543, 5739, 2825, 2360, 269, 6270, 14434, 1331, 519, 3940, 22965, 987, 7748, 267, 799, 568, 3812, 538, 519, 6797, 689, 11254, 7408, 269, 898, 568, 2111, 547, 2569, 519, 2800, 540, 5061, 267, 7296, 543, 5982, 4598, 547, 519, 1560, 267, 9243, 3278, 519, 2360, 540, 18068, 538, 519, 2126, 540, 2860, 3676, 267, 18788, 13802, 602, 4283, 519, 1560, 1927, 609, 4568, 267, 9243, 3278, 519, 2962, 540, 5230, 8407, 267, 799, 8992, 10826, 538, 2013, 540, 1973, 543, 6797, 3676, 269, 4706, 2962, 5956, 1256, 1354, 1863, 18119, 666, 2253, 741, 16160, 3310, 267, 22965, 987, 7748, 1927, 609, 31093, 3029, 606, 11747, 602, 9243, 3278, 519, 25681, 4646, 896, 741, 2962, 7250, 563, 763, 1034, 3742, 606, 9171, 656, 1634, 547, 4266, 568, 5283, 28853, 267, 799, 568, 3812, 676, 519, 12566, 531, 14189, 540, 519, 2634, 267, 855, 922, 2504, 538, 519, 1560, 6238, 547, 7771, 1256, 1354, 23648, 563, 16766, 540, 14434, 602, 513, 1268, 666, 1205, 1927, 609, 1426, 1331, 8324, 281, 589, 267, 595, 543, 661, 267, 12498, 21307, 582, 2940, 267, 24140, 523, 10405, 1627, 1015, 267, 10250, 2609, 281, 31093, 267, 13058, 267, 2166, 4614, 710, 282, 10399, 281, 5283, 28853, 269, 2368, 2371, 723, 1164, 606, 9171, 656, 3601, 281, 575, 1074, 334, 21536, 20899, 267, 30207, 267, 18812, 6079, 1349, 267, 3039, 7401, 267, 17708, 1540, 29704, 543, 10568, 9274, 267, 4195, 5388, 543, 5613, 563, 302, 5554, 9593, 545, 605, 13183, 30662, 1938, 8659, 538, 18812, 6079, 543, 12566, 13626, 21555, 723, 476, 2004, 543, 476, 736, 2053, 811, 3532, 538, 741, 9831, 894, 2962, 982, 8324, 595, 543, 661, 269, 6606, 563, 1103, 1840, 267, 972, 616, 6878, 602, 666, 3986, 519, 9831, 894, 2360, 540, 8324, 543, 22965, 987, 7748, 267, 971, 607, 13672, 2000, 760, 18757, 3679, 267, 799, 568, 849, 513, 606, 1271, 5057, 602, 5849, 519, 2504, 540, 11476, 602, 2490, 1426, 883, 1648, 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 ]
[ 8871, 19600, 269, 4750, 540, 16373, 267, 5261, 595, 269, 717, 4660, 529, 267, 5292, 269, 476, 3393, 267, 3143, 269, 476, 273, 267, 590, 720, 23549, 267, 5549, 1421, 808, 4306, 3036, 267, 11354, 476, 2735, 272, 563, 31388, 267, 2904, 476, 1240, 267, 476, 1708, 271, 454, 14549, 19338, 15907, 519, 1158, 1480, 19338, 4523, 1472, 721, 1510, 721, 711, 6005, 610, 1483, 2358, 1018, 568, 8345, 269, 7073, 6377, 8474, 6818, 1472, 519, 1158, 543, 621, 568, 1634, 2221, 607, 1480, 19338, 610, 19338, 538, 7606, 269, 1924, 267, 1018, 568, 1480, 19338, 543, 1946, 1810, 512, 1082, 1004, 3343, 585, 948, 610, 979, 547, 513, 2288, 1399, 7790, 4270, 1480, 19338, 568, 2413, 6377, 8474, 543, 3322, 519, 946, 540, 3196, 267, 12611, 267, 610, 28170, 542, 547, 3489, 930, 1826, 540, 4074, 610, 5010, 3023, 957, 269, 5272, 1032, 6634, 540, 2367, 543, 4807, 543, 865, 540, 519, 942, 1453, 616, 1373, 911, 742, 17673, 538, 2477, 1472, 519, 1158, 543, 602, 1519, 519, 2136, 2276, 630, 340, 4732, 18502, 264, 1547, 5274, 19338, 568, 899, 513, 6456, 6760, 607, 930, 540, 519, 9601, 10355, 3343, 585, 1317, 540, 519, 12728, 14214, 12953, 2485, 355, 19651, 811, 1543, 12728, 14214, 12953, 2485, 355, 2414, 2149, 519, 1318, 602, 649, 723, 543, 547, 1832, 1004, 6870, 543, 1034, 1514, 4600, 616, 5432, 609, 519, 3390, 593, 1480, 19338, 269, 1703, 723, 1044, 3908, 2963, 593, 1004, 521, 1072, 4539, 540, 1480, 19338, 899, 2348, 4638, 1072, 2042, 1519, 7486, 2073, 1981, 540, 2168, 543, 2790, 2042, 1851, 519, 911, 742, 17673, 1004, 269, 2368, 540, 519, 1453, 543, 2021, 1018, 789, 1294, 610, 1373, 6306, 693, 942, 789, 1205, 2790, 2042, 269, 5620, 519, 942, 519, 1004, 1589, 540, 873, 607, 1480, 519, 4440, 1152, 1416, 827, 789, 811, 543, 789, 1810, 512, 1416, 945, 789, 10413, 610, 952, 789, 723, 2729, 269, 5620, 540, 741, 942, 930, 798, 1004, 2097, 547, 3343, 585, 948, 1745, 543, 1310, 789, 798, 1205, 789, 1745, 607, 1018, 540, 4755, 547, 873, 543, 789, 666, 512, 1205, 723, 789, 2729, 875, 621, 729, 1354, 269, 9578, 1480, 19338, 1831, 8194, 2073, 5208, 2073, 1373, 705, 2265, 539, 543, 6057, 547, 519, 9601, 2713, 610, 1373, 538, 602, 3510, 543, 711, 2111, 547, 1294, 707, 1920, 2818, 1547, 4107, 4080, 2168, 610, 4638, 5208, 1247, 911, 742, 17673, 630, 4817, 15992, 840, 13652, 16751, 6057, 630, 6795, 15992, 543, 2789, 2022, 19338, 2168, 543, 5626, 2042, 269, 1924, 1480, 19338, 4755, 1472, 519, 543, 1082, 1004, 616, 10332, 1317, 621, 1945, 602, 568, 1271, 538, 938, 2486, 538, 938, 1158, 2221, 269, 1452, 1480, 19338, 9601, 7985, 689, 5626, 543, 2790, 1072, 609, 519, 540, 1072, 1416, 269, 2311, 2053, 930, 540, 519, 1453, 610, 10708, 1397, 2589, 540, 17004, 2859, 16665, 17457, 4303, 26913, 281, 5274, 3004, 16751, 476, 279, 5780, 9293, 17723, 1923, 12728, 476, 275, 9664, 26108, 645, 11448, 22627, 4700, 5274, 19338, 568, 519, 2413, 1554, 8474, 267, 621, 3322, 2921, 1852, 936, 513, 1268, 998, 3196, 267, 12611, 610, 28170, 542, 547, 17908, 519, 6408, 585, 7142, 4074, 267, 4638, 14226, 269, 610, 1312, 630, 12728, 14214, 12953, 30755, 30948, 12728, 14214, 12953, 1612, 269, 272, 1040, 901, 568, 1831, 519, 8909, 4641, 585, 1082, 267, 5111, 1614, 856, 540, 1169, 476, 272, 267, 1822, 1004, 5001, 616, 1373, 7142, 883, 713, 971, 8474, 269, 7861, 15501, 540, 1480, 19338, 616, 1004, 540, 782, 10080, 543, 6502, 267, 1100, 835, 568, 2922, 689, 519, 18660, 3946, 540, 1480, 911, 742, 1157, 619, 269, 5272, 1032, 5649, 2859, 14549, 3004, 16751, 1656, 634, 7073, 4303, 26913, 4828, 1911, 277, 9293, 17723, 1923, 12728, 476, 276, 9664, 7615, 540, 7803, 5126, 267, 543, 568, 1634, 607, 519, 2413, 1554, 8474, 269, 901, 1957, 786, 849, 1865, 519, 14051, 538, 1480, 19338, 269, 634, 1353, 981, 514, 1965, 519, 1764, 540, 2804, 14051, 593, 519, 1480, 19338, 1102, 869, 338, 1472, 519, 1158, 269, 901, 1957, 786, 2253, 676, 3246, 519, 4214, 540, 1018, 1480, 19338, 543, 14051, 568, 267, 543, 875, 621, 1568, 1369, 519, 2796, 540, 1876, 11268, 269, 634, 1686, 540, 1480, 19338, 543, 875, 1480, 19338, 568, 1198, 532, 7239, 2066, 519, 1158, 269, 901, 5649, 2859, 14549, 3004, 16751, 1656, 7073, 4303, 26913, 4828, 16928, 271, 9293, 17723, 1923, 12728, 476, 277, 9664, 14549, 3004, 16751, 1703, 568, 606, 2479, 3395, 1966, 602, 568, 1330, 28410, 519, 1158, 269, 5272, 1554, 476, 274, 267, 27868, 1004, 616, 4421, 610, 32043, 11474, 267, 543, 616, 7142, 883, 8474, 269, 630, 14549, 3004, 16751, 10803, 18614, 476, 1001, 273, 264, 4107, 1004, 798, 711, 8275, 602, 2413, 6377, 8474, 4523, 6251, 547, 1753, 982, 789, 1589, 269, 476, 1691, 267, 1822, 268, 1704, 267, 4335, 568, 519, 6059, 1297, 540, 1004, 911, 742, 17673, 883, 519, 2136, 2276, 1142, 1032, 269, 630, 14549, 3004, 16751, 10803, 18614, 476, 1001, 273, 264, 634, 2229, 814, 6836, 547, 2569, 713, 1966, 607, 1134, 607, 4948, 1004, 5649, 2859, 14549, 3004, 16751, 2433, 7073, 4303, 26913, 8182, 275, 9293, 17723, 1923, 12728, 476, 278, 9664, 14549, 3004, 16751, 2290, 540, 519, 1034, 3978, 10963, 5001, 267, 1480, 19338, 568, 519, 9140, 267, 9513, 267, 543, 6283, 540, 1004, 585, 519, 946, 540, 4638, 14226, 267, 7142, 4074, 267, 610, 1418, 8851, 269, 17723, 14214, 12953, 30755, 257, 14549, 19338, 568, 2413, 6377, 8474, 543, 3322, 519, 946, 540, 3196, 267, 12611, 267, 610, 28170, 542, 547, 3489, 930, 1826, 540, 4074, 610, 5010, 3023, 957, 269, 12728, 14214, 12953, 630, 1432, 568, 1480, 19338, 13067, 14657, 264, 898, 4523, 538, 519, 2136, 2276, 543, 4914, 2477, 269, 3509, 1004, 798, 711, 1294, 621, 8345, 267, 855, 538, 1249, 621, 568, 8345, 5649, 2859, 14549, 3004, 16751, 2433, 7073, 4303, 26913, 14631, 272, 9293, 17723, 1923, 12728, 476, 278, 9664, 14549, 19338, 568, 2413, 1554, 8474, 602, 4386, 609, 1312, 25469, 540, 782, 6502, 269, 5274, 19338, 4386, 6140, 538, 25013, 2477, 899, 5607, 267, 543, 8109, 2342, 543, 3884, 512, 9003, 4638, 8474, 282, 519, 9601, 666, 581, 1031, 585, 4074, 5301, 849, 269, 20871, 899, 32655, 16593, 4139, 543, 29663, 18830, 3004, 16751, 538, 6468, 4339, 547, 15063, 519, 9601, 540, 1480, 19338, 269, 1452, 3906, 3262, 519, 12178, 540, 1208, 606, 19338, 998, 2069, 543, 1857, 4656, 269, 10705, 2053, 19338, 5649, 2859, 14549, 3004, 16751, 2433, 7073, 4303, 26913, 14338, 279, 9293, 17723, 1923, 12728, 476, 276, 9664, 15907, 519, 1158, 1480, 19338, 4523, 1472, 721, 1510, 721, 711, 6005, 610, 1483, 2358, 1018, 568, 8345, 269, 7073, 6377, 8474, 6818, 1472, 519, 1158, 543, 621, 568, 1634, 2221, 607, 1480, 19338, 610, 19338, 538, 7606, 269, 1924, 267, 1018, 568, 1480, 19338, 543, 1946, 1810, 512, 1082, 1004, 3343, 585, 948, 610, 979, 547, 513, 2288, 1399, 7790, 4270, 1480, 19338, 568, 2413, 6377, 8474, 543, 3322, 519, 946, 540, 3196, 267, 12611, 267, 610, 28170, 542, 547, 3489, 930, 1826, 540, 4074, 610, 5010, 3023, 957, 269, 5272, 1032, 6634, 540, 2367, 543, 4807, 543, 5649, 2859, 14549, 3004, 16751, 2433, 589, 7073, 4303, 26913, 280, 8618, 9293, 17723, 1923, 12728, 476, 275, 9664, 12626, 10001, 8734, 269, 476, 2537, 476, 1001, 276, 1215, 547, 17547, 3004, 16751, 6468, 616, 711, 519, 1152, 3283, 1373, 4421, 2221, 269, 2494, 616, 711, 519, 1152, 3283, 9513, 3425, 2221, 269, 2353, 1114, 5686, 540, 3425, 616, 1373, 4421, 538, 1945, 1572, 1480, 19338, 269, 5274, 19338, 814, 1831, 513, 1966, 5001, 543, 568, 1198, 532, 782, 1004, 5256, 267, 4775, 267, 1453, 267, 10349, 269, 1703, 616, 1082, 3435, 267, 835, 540, 873, 568, 547, 13599, 519, 1453, 693, 513, 7820, 2085, 269, 5274, 19338, 568, 899, 513, 2413, 1554, 8474, 269, 634, 1004, 1373, 4421, 616, 7142, 538, 5649, 2859, 14549, 3004, 16751, 2433, 7073, 4303, 26913, 15876, 273, 9293, 17723, 1923, 12728, 476, 278, 9664, 295, 1446, 344, 6153, 532, 11427, 269, 11829, 657, 2296, 476, 274, 12968, 832, 476, 277, 4989, 476, 1001, 278, 5274, 3004, 16751, 2290, 540, 519, 1034, 3978, 10963, 5001, 267, 1480, 19338, 568, 519, 9140, 267, 9513, 267, 543, 6283, 540, 1004, 585, 519, 946, 540, 4638, 14226, 267, 7142, 4074, 267, 610, 1418, 8851, 269, 17723, 14214, 12953, 30755, 257, 14549, 19338, 568, 2413, 6377, 8474, 543, 3322, 519, 946, 540, 3196, 267, 12611, 267, 610, 28170, 542, 547, 3489, 930, 1826, 540, 4074, 610, 5010, 3023, 957, 269, 12728, 14214, 12953, 630, 1432, 568, 1480, 19338, 13067, 14657, 264, 898, 4523, 538, 519, 2136, 2276, 543, 4914, 2477, 269, 3509, 1004, 5649, 2859, 14549, 3004, 16751, 2433, 7073, 4303, 26913, 13199, 271, 9293, 17723, 1923, 12728, 476, 276, 9664, 14549, 3004, 16751, 5994, 1373, 2111, 547, 1378, 513, 1870, 543, 1118, 4986, 855, 7443, 269, 2290, 540, 519, 2010, 540, 19338, 568, 8534, 3004, 16751, 267, 799, 2337, 1832, 5777, 14949, 676, 2348, 10464, 4600, 269, 1403, 3549, 798, 711, 723, 1004, 2324, 538, 15327, 585, 1360, 2370, 1287, 513, 2603, 540, 5777, 1131, 979, 909, 21173, 899, 593, 7802, 543, 11647, 269, 589, 2603, 540, 2477, 4346, 616, 3710, 1055, 3023, 19338, 799, 2337, 519, 4346, 3648, 269, 634, 5571, 17723, 14214, 12953, 30755, 257, 335, 1156, 1580, 517, 12728, 14214, 12953, 540, 1480, 19338, 568, 711, 513, 1966, 5649, 2859, 14549, 3004, 16751, 2433, 7073, 4303, 26913, 4828, 15946, 280, 9293, 17723, 1923, 12728, 476, 277, 9664, 303, 539, 571, 5633, 5274, 3004, 16751, 5274, 3004, 16751, 4347, 1441, 5274, 3004, 16751, 568, 17723, 14214, 12953, 30755, 257, 19640, 1554, 8474, 543, 3322, 519, 946, 540, 3196, 267, 12611, 267, 610, 28170, 542, 547, 3489, 930, 1826, 540, 4074, 610, 5010, 3023, 957, 12728, 14214, 12953, 607, 3989, 676, 519, 4972, 540, 13067, 14657, 8232, 269, 898, 568, 7361, 11389, 322, 1758, 1242, 4352, 621, 568, 835, 540, 519, 16595, 3395, 7803, 6080, 269, 898, 911, 742, 923, 1453, 267, 14038, 267, 543, 4079, 269, 5274, 3004, 16751, 2501, 2034, 547, 3075, 7231, 269, 1703, 568, 1480, 19338, 585, 4638, 14226, 267, 19338, 540, 1418, 454, 26607, 11888, 267, 2904, 476, 1724, 267, 476, 1708, 271, 454, 2691, 621, 2501, 547, 519, 1849, 842, 976, 267, 835, 540, 17113, 1390, 2797, 3885, 267, 2123, 6644, 2864, 982, 4411, 2182, 5013, 2531, 7149, 519, 4901, 269, 1656, 950, 621, 2501, 547, 10830, 776, 22735, 267, 4892, 2901, 2648, 1200, 610, 13842, 1200, 269, 590, 1127, 1044, 642, 559, 1881, 676, 11122, 2510, 945, 711, 1152, 771, 3697, 513, 2178, 15594, 5639, 267, 855, 1843, 1256, 547, 1200, 946, 540, 4357, 15737, 547, 1865, 2123, 1920, 2152, 269, 8644, 5644, 1413, 4464, 547, 519, 1101, 4775, 547, 4196, 538, 519, 744, 1998, 8433, 269, 5600, 12102, 6205, 27211, 19994, 657, 328, 1256, 5143, 606, 5304, 538, 9741, 9412, 267, 8121, 267, 594, 7281, 602, 10830, 776, 22735, 16976, 547, 2196, 585, 7022, 540, 519, 2136, 2276, 269, 1924, 13071, 1205, 1524, 547, 21567, 512, 2931, 281, 1772, 10830, 776, 22735, 11727, 547, 581, 519, 5518, 540, 519, 2136, 2276, 286, 634, 967, 529, 1584, 762, 2626, 568, 9811, 269, 3143, 2339, 1018, 596, 1589, 540, 1200, 267, 1100, 2339, 1018, 5428, 596, 8917, 585, 267, 10830, 776, 22735, 568, 811, 982, 11727, 547, 581, 519, 5518, 540, 519, 2136, 2276, 910, 811, 267, 538, 1249, 267, 982, 1082, 23602, 543, 17485, 619, 540, 519, 16232, 14797, 538, 938, 1686, 269, 18786, 950, 1352, 729, 513, 1762, 2937, 267, 1849, 842, 976, 2797, 4876, 814, 1044, 9867, 543, 11826, 267, 543, 2016, 1200, 1312, 1702, 543, 1995, 538, 6469, 543, 3486, 6214, 269, 14891, 2797, 25566, 8355, 9796, 928, 13187, 602, 1352, 949, 581, 519, 1034, 11727, 11134, 585, 519, 24164, 538, 513, 5108, 269, 17723, 634, 17943, 281, 7216, 15232, 3689, 267, 13071, 9004, 519, 2596, 20340, 689, 15784, 609, 2543, 547, 4008, 269, 1306, 519, 772, 2529, 269, 9139, 3274, 2829, 267, 3143, 1268, 4849, 513, 2067, 4535, 12504, 267, 610, 513, 12504, 540, 519, 2136, 2276, 267, 693, 519, 942, 540, 519, 10073, 540, 713, 9139, 267, 4927, 581, 14718, 547, 519, 5604, 540, 5518, 282, 9444, 4927, 1022, 1268, 581, 14718, 547, 602, 5604, 945, 4927, 711, 723, 25189, 547, 519, 2085, 540, 13977, 19317, 1296, 267, 543, 1044, 27552 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2961, 321, 10791, 9137, 1215, 547, 16259, 23126, 6969, 18786, 513, 8899, 4211, 16808, 10791, 21763, 547, 700, 846, 13379, 538, 476, 1001, 280, 286, 2913, 721, 948, 596, 609, 513, 10531, 7594, 1544, 256, 0, 289, 6621, 568, 513, 1062, 540, 5385, 676, 799, 5370, 610, 2533, 616, 2047, 22121, 585, 824, 5370, 610, 2533, 1510, 1210, 513, 5420, 540, 5385, 267, 971, 607, 2724, 269, 898, 568, 10646, 762, 689, 10516, 11615, 538, 602, 519, 23483, 5385, 568, 7525, 543, 711, 16607, 538, 942, 269, 898, 568, 2356, 24845, 267, 855, 949, 581, 1617, 10561, 630, 328, 4318, 1421, 25358, 998, 30550, 3906, 264, 543, 2356, 6818, 6252, 547, 13075, 1949, 538, 1034, 2919, 2477, 267, 1498, 547, 513, 1360, 3908, 6708, 269, 4446, 614, 2356, 30283, 2724, 607, 519, 1505, 540, 5385, 538, 2053, 540, 13075, 6433, 267, 971, 607, 950, 519, 9304, 949, 581, 2901, 18633, 630, 324, 3052, 1421, 5409, 8882, 3175, 610, 1219, 3175, 776, 18700, 264, 610, 3274, 28998, 585, 10647, 16450, 563, 28061, 700, 15586, 12090, 519, 2165, 834, 29985, 5385, 9467, 1062, 257, 630, 4041, 4811, 264, 538, 476, 2735, 274, 543, 585, 513, 942, 10443, 519, 1290, 2135, 9503, 19845, 4811, 2448, 338, 538, 3938, 1084, 599, 267, 3703, 12052, 269, 19845, 4811, 5121, 946, 1719, 6954, 2199, 5491, 865, 1463, 2220, 2355, 798, 711, 991, 547, 581, 1500, 269, 1280, 3236, 267, 513, 4759, 949, 7118, 5491, 676, 3257, 1126, 3249, 585, 835, 1268, 543, 6108, 621, 2663, 593, 15790, 18782, 609, 1776, 1268, 538, 519, 1482, 3060, 269, 769, 19845, 4811, 267, 7429, 824, 2199, 19728, 267, 1100, 1085, 8692, 568, 9783, 267, 855, 2864, 8852, 616, 6592, 538, 513, 3844, 4087, 1930, 547, 782, 2818, 269, 1306, 5491, 568, 9783, 676, 519, 3060, 2818, 267, 585, 519, 4324, 540, 519, 2818, 2933, 267, 19845, 4811, 616, 2808, 8994, 5491, 1949, 563, 290, 2734, 622, 30550, 6212, 593, 3677, 8852, 267, 799, 568, 1114, 689, 513, 2757, 267, 10685, 20218, 30550, 5385, 269, 23654, 30550, 15377, 3335, 946, 2923, 543, 10229, 607, 15407, 585, 741, 3677, 8852, 269, 898, 14122, 519, 946, 540, 513, 9304, 1770, 1572, 513, 834, 339, 8565, 29931, 9016, 2668, 634, 4123, 29931, 9016, 1590, 711, 1152, 581, 1634, 543, 16798, 267, 855, 849, 581, 12595, 538, 606, 2179, 519, 2923, 543, 10229, 1223, 723, 1044, 12349, 585, 1185, 519, 834, 743, 1304, 257, 11751, 621, 2933, 630, 4186, 847, 547, 9004, 13509, 543, 1981, 1916, 8256, 10179, 2861, 30550, 1949, 5749, 1406, 519, 1152, 4123, 538, 4884, 267, 2901, 269, 769, 519, 717, 14011, 267, 972, 568, 513, 7347, 1870, 3562, 1532, 5350, 30550, 1062, 267, 2147, 547, 530, 597, 855, 593, 513, 4130, 4336, 269, 24371, 1129, 909, 585, 513, 3028, 9789, 516, 616, 1896, 2139, 11652, 4123, 30898, 2683, 960, 3108, 610, 7452, 2275, 2642, 11891, 585, 5370, 543, 2533, 789, 7948, 1406, 6382, 6488, 267, 2523, 1282, 21748, 776, 2053, 281, 1419, 1919, 602, 4482, 1283, 13007, 543, 11677, 2462, 7218, 267, 971, 607, 10229, 267, 30572, 10591, 610, 7817, 829, 802, 269, 0, 3528, 30370, 589, 269, 1234, 529, 454, 1607, 27412, 6645, 540, 519, 9295, 540, 3979, 22988, 547, 519, 2601, 585, 519, 5742, 1369, 519, 1977, 6406, 13137, 269, 693, 519, 1376, 1201, 11712, 689, 267, 4652, 770, 2989, 17051, 543, 608, 1606, 331, 2314, 6368, 1810, 2740, 26977, 543, 10692, 538, 3606, 982, 2185, 4627, 12959, 269, 7488, 540, 1025, 520, 656, 14882, 543, 7130, 267, 789, 9863, 741, 1130, 712, 543, 8329, 3810, 547, 519, 1434, 19539, 540, 519, 5742, 563, 5649, 610, 8281, 3979, 4892, 543, 519, 6406, 2782, 630, 763, 6406, 2782, 281, 513, 13780, 667, 22866, 264, 7300, 454, 13436, 11585, 1299, 4529, 2835, 454, 288, 22525, 6941, 519, 3527, 8345, 693, 6469, 593, 513, 5665, 669, 809, 3484, 563, 2662, 12241, 513, 19996, 12406, 741, 20987, 267, 513, 6014, 10252, 22842, 12390, 4157, 27204, 609, 513, 962, 1575, 1731, 10507, 330, 24982, 737, 8882, 13083, 543, 25395, 789, 6871, 1082, 9821, 563, 299, 820, 1744, 648, 3196, 267, 519, 1713, 631, 850, 267, 7952, 623, 1512, 269, 10371, 3274, 519, 1448, 856, 540, 1346, 11599, 2798, 540, 1719, 26182, 513, 6607, 1467, 4857, 2066, 519, 1158, 1317, 519, 6489, 344, 4683, 269, 8080, 547, 9628, 256, 543, 972, 568, 1100, 2362, 3391, 1504, 547, 519, 4884, 982, 654, 568, 585, 6489, 344, 4683, 281, 589, 9628, 22843, 269, 11374, 519, 9904, 267, 519, 2749, 781, 7209, 543, 28125, 21056, 616, 11207, 9676, 538, 6648, 543, 16878, 21849, 1543, 563, 4504, 1238, 806, 519, 19824, 543, 18517, 540, 23509, 13957, 532, 1446, 267, 15713, 4651, 540, 519, 13957, 532, 1446, 9872, 540, 16711, 563, 21206, 9623, 585, 3979, 4892, 543, 519, 6406, 2782, 630, 763, 6406, 2782, 281, 513, 13780, 667, 22866, 994, 6624, 5249, 538, 4070, 543, 8808, 267, 1247, 1866, 14475, 9604, 538, 6186, 1559, 610, 3177, 27445, 2533, 269, 11524, 941, 8655, 811, 4074, 25673, 960, 267, 971, 607, 18205, 20857, 630, 629, 913, 1040, 13338, 13800, 547, 513, 4914, 2197, 267, 799, 9098, 1631, 6811, 547, 581, 269, 11683, 595, 776, 281, 1809, 596, 2161, 267, 649, 666, 1406, 694, 1027, 324, 267, 543, 865, 596, 3112, 9846, 1033, 664, 519, 27740, 525, 269, 589, 6519, 2494, 779, 2782, 4937, 30215, 281, 1809, 596, 2161, 596, 723, 694, 1027, 539, 267, 543, 865, 596, 3112, 9846, 3409, 873, 269, 594, 4927, 1033, 664, 519, 27740, 525, 607, 733, 4599, 663, 540, 2112, 563, 1432, 6368, 7479, 12184, 5518, 12493, 547, 17551, 585, 7839, 31414, 729, 711, 513, 2620, 7287, 547, 1294, 10437, 15685, 593, 6240, 269, 13298, 267, 621, 729, 519, 991, 547, 1305, 873, 1863, 607, 513, 2112, 13766, 269, 634, 4339, 547, 11177, 519, 5742, 1185, 711, 8854, 1134, 1282, 519, 476, 1240, 3275, 2094, 519, 2112, 1185, 13175, 269, 769, 6370, 1310, 6370, 267, 5742, 4229, 2901, 1558, 14710, 610, 8959, 547, 1491, 5413, 540, 20752, 12755, 543, 6861, 519, 10546, 269, 1635, 519, 4832, 540, 476, 5908, 273, 267, 519, 8832, 1857, 267, 711, 547, 2446, 922, 4108, 267, 729, 27209, 543, 25922, 563, 7922, 2931, 10261, 3502, 15233, 898, 729, 547, 581, 513, 2112, 547, 11177, 519, 5742, 267, 547, 22653, 924, 519, 2197, 267, 543, 547, 5531, 1394, 883, 519, 16784, 519, 476, 1556, 8828, 2829, 602, 1185, 694, 1027, 539, 267, 6450, 8215, 267, 543, 10294, 741, 7115, 269, 1656, 267, 693, 2547, 538, 519, 4098, 267, 621, 729, 547, 581, 513, 3043, 812, 779, 2112, 269, 5131, 8832, 17051, 267, 476, 272, 2600, 540, 519, 5742, 2551, 630, 13975, 267, 1822, 1070, 991, 711, 4019, 281, 4256, 2533, 1131, 711, 581, 2838, 269, 1703, 941, 849, 2673, 547, 476, 275, 2929, 8828, 10437, 693, 519, 2112, 779, 12176, 269, 898, 729, 15991, 4502, 7234, 1018, 9295, 789, 1522, 1118, 547, 519, 5742, 2014, 563, 28893, 4892, 543, 519, 6406, 2782, 630, 763, 6406, 2782, 281, 513, 13780, 667, 22866, 264, 676, 30370, 589, 269, 1234, 529, 0, 10214, 1498, 4816, 4522, 616, 711, 5921, 547, 2063, 11014, 267, 789, 4196, 930, 1360, 1271, 3252, 585, 519, 942, 789, 616, 1472, 269, 13245, 4816, 4522, 1450, 707, 1126, 547, 11116, 543, 25261, 1426, 267, 24808, 4992, 7157, 1282, 4633, 267, 543, 267, 540, 1576, 267, 547, 12837, 256, 1358, 849, 948, 3391, 519, 8628, 4522, 267, 799, 786, 835, 1554, 5372, 873, 267, 883, 1697, 12972, 269, 1924, 621, 779, 1271, 547, 1491, 1434, 1416, 540, 873, 1247, 789, 2461, 1934, 269, 2913, 779, 2626, 930, 4749, 4280, 2055, 827, 12963, 25185, 563, 4692, 594, 1205, 1250, 4522, 19345, 1247, 594, 6557, 9176, 888, 8133, 2443, 543, 596, 1058, 256, 5637, 519, 1977, 15482, 5948, 543, 519, 1977, 6837, 540, 26861, 13011, 2103, 543, 21859, 31037, 5505, 4363, 602, 2021, 1832, 909, 609, 741, 2834, 8430, 540, 5959, 2973, 902, 543, 11400, 1282, 6379, 269, 3502, 3257, 865, 666, 1450, 2068, 27351, 6748, 5711, 9190, 547, 21707, 267, 799, 666, 581, 513, 1072, 1981, 585, 1312, 519, 2503, 656, 3993, 543, 1200, 21565, 563, 2710, 12256, 991, 741, 4522, 1490, 19813, 888, 8133, 267, 621, 779, 1271, 547, 1376, 513, 3232, 5711, 9882, 6296, 607, 4166, 607, 519, 1101, 4816, 5694, 5526, 2443, 2356, 28069, 1063, 3670, 543, 8370, 3275, 540, 2085, 269, 2422, 513, 1360, 2571, 1532, 2077, 1194, 1126, 13355, 28750, 543, 1175, 513, 1159, 792, 540, 21973, 26025, 630, 1492, 2450, 540, 513, 10286, 540, 7573, 1040, 1879, 707, 1126, 7140, 476, 274, 267, 2333, 519, 2179, 540, 21973, 26025, 547, 519, 2450, 540, 513, 890, 320, 563, 2691, 1058, 594, 1491, 1250, 1126, 538, 585, 1200, 1101, 5959, 13393, 888, 763, 2626, 547, 713, 835, 949, 9983, 596, 281, 2353, 1453, 1058, 1294, 513, 11290, 676, 519, 2085, 540, 476, 272, 269, 7216, 5959, 11564, 1205, 1453, 26224, 547, 2348, 741, 28182, 8947, 543, 741, 4522, 19345, 269, 26787, 713, 2635, 4356, 2038, 786, 979, 513, 1279, 1259, 4724, 5009, 513, 10715, 540, 1434, 5711, 1072, 563, 19675, 594, 5855, 602, 1250, 1126, 647, 4242, 1010, 14853, 888, 6546, 5673, 593, 875, 2025, 646, 568, 269, 774, 3518, 647, 9535, 568, 513, 3339, 267, 4313, 532, 4356, 585, 9002, 543, 20854, 269, 4107, 856, 326, 992, 621, 676, 519, 942, 789, 616, 476, 275, 269, 1809, 3214, 945, 1810, 1406, 616, 693, 2799, 1981, 585, 26966, 545, 2152, 2663, 593, 269, 1403, 707, 1126, 4667, 8572, 547, 2736, 519, 4356, 267, 1577, 721, 917, 282, 649, 666, 2285, 596, 811, 2143, 7840, 693, 707, 1985, 13393, 563, 1432, 666, 594, 798, 547, 2061, 1250, 1453, 689, 3478, 19659, 888, 13014, 2386, 707, 1453, 723, 606, 2500, 3232, 5711, 9882, 6296, 602, 2882, 17678, 609, 21973, 26025, 7466, 513, 1554, 543, 29781, 693, 2547, 2899, 829, 1554, 269, 1403, 789, 616, 1932, 1762, 547, 798, 513, 1434, 2816, 676, 2933, 267, 948, 873, 2347, 891, 1271, 4247, 269, 5901, 741, 4006, 4616, 607, 1970, 607, 2009, 282, 2628, 1880, 3007, 547, 16098, 2443, 14614, 267, 5026, 10425, 543, 1256, 476, 1911, 4939, 2067, 4829, 23238, 666, 782, 3895, 5694, 9178, 269, 1284, 666, 2709, 25191, 5796, 593, 8165, 19659, 267, 543, 1256, 1683, 21973, 5574, 543, 5959, 13021, 1218, 585, 3063, 4027, 1996, 19659, 269, 1924, 1810, 1406, 7340, 547, 3142, 707, 1126, 538, 547, 519, 5959, 5604, 585, 2834, 11400, 543, 2973, 902, 2336, 2791, 949, 711, 2141, 581, 2111, 547, 2995, 952, 707, 1126, 781, 11116, 3884, 1405, 3384, 5265, 269, 26115, 2334, 781, 1946, 596, 1058, 723, 873, 10929, 606, 26966, 545, 6268, 1472, 2085, 476, 277, 547, 10625, 1022, 6932, 2042, 609, 5694, 3765, 7955, 618, 563, 26170, 267, 972, 616, 930, 7298, 4191, 782, 781, 711, 1134, 609, 741, 11116, 269, 1306, 519, 3119, 630, 321, 17879, 264, 4522, 2285, 1259, 267, 519, 8628, 4522, 21074, 18615, 569, 1472, 6502, 476, 277, 547, 476, 279, 269, 1306, 789, 2097, 538, 267, 596, 1058, 5469, 602, 1142, 5694, 13352, 25144, 1985, 547, 1142, 824, 1510, 7050, 10616, 610, 267, 593, 519, 824, 1439, 540, 519, 8552, 267, 711, 22125, 1927, 538, 5186, 12097, 6752, 269, 16592, 4522, 1058, 849, 3514, 5594, 936, 519, 2539, 4522, 950, 519, 28287, 616, 9505, 563, 2252, 741, 4522, 5920, 1821, 28179, 689, 891, 8155, 267, 789, 949, 723, 513, 11116, 1966, 269, 3371, 616, 476, 275, 17244, 596, 1058, 4585, 585, 563, 15152, 321, 924, 610, 2620, 11116, 269, 1306, 649, 5018, 267, 519, 4395, 4522, 1058, 3382, 519, 2539, 4522, 609, 519, 28287, 9505, 269, 769, 606, 896, 321, 924, 267, 519, 9258, 4523, 2443, 519, 2539, 4522, 616, 538, 4395, 540, 519, 5580, 4522, 269, 898, 781, 849, 513, 1966, 952, 519, 5580, 4522, 3382, 519, 2539, 4522, 1932, 1454, 630, 21865, 5219, 547, 607, 968, 1372, 788, 569, 892, 1916, 15411, 11116, 269, 901, 4386, 950, 972, 781, 513, 7934, 1063, 519, 5580, 543, 2539, 4395, 4522, 1247, 519, 28287, 616, 9505, 1927, 269, 2290, 2009, 2014, 568, 3735, 14853, 647, 9535, 267, 799, 666, 2322, 3768, 826, 2604, 593, 519, 4395, 4522, 543, 2014, 873, 547, 1020, 1932, 2484, 4464, 1247, 16550, 519, 5377, 4395, 4522, 2417, 23651, 563, 15899, 321, 2572, 269, 901, 2186, 540, 11116, 4386, 950, 930, 540, 519, 4522, 1810, 1405, 3514, 5265, 936, 741, 13413, 267, 1247 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 345, 7537, 2073, 25391, 767, 2006, 594, 2073, 17796, 540, 670, 2678, 23189, 538, 23398, 4045, 2032, 4438, 2296, 6478, 14409, 538, 645, 13308, 543, 3933, 565, 532, 783, 5753, 11671, 321, 5735, 540, 1893, 630, 23173, 8822, 267, 7136, 12175, 476, 1708, 274, 4455, 476, 1556, 282, 476, 275, 630, 273, 1040, 476, 2735, 268, 13136, 454, 268, 20163, 281, 476, 4391, 273, 27768, 5400, 1496, 23809, 14073, 313, 28702, 918, 2073, 6129, 2473, 2073, 24204, 14160, 2073, 17378, 31760, 681, 299, 2073, 29485, 17241, 2073, 19162, 3205, 715, 2073, 2961, 639, 334, 966, 290, 2073, 13535, 2473, 306, 2073, 570, 731, 604, 570, 2073, 932, 537, 570, 299, 2073, 4425, 1054, 808, 305, 2073, 25391, 767, 2006, 594, 2073, 1912, 517, 1670, 543, 24466, 7924, 1983, 538, 2296, 543, 4457, 281, 589, 3444, 268, 1782, 340, 2065, 5778, 574, 1645, 6476, 540, 4457, 30165, 19636, 543, 1395, 565, 532, 783, 2296, 1453, 5274, 2634, 11837, 269, 476, 1708, 274, 7325, 476, 2537, 282, 476, 4510, 630, 1724, 1040, 476, 4366, 272, 273, 268, 4366, 273, 280, 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, 3848, 476, 1015, 281, 8891, 15950, 30578, 910, 15531, 4563, 7108, 2439, 5970, 596, 2479, 9289, 1141, 17405, 2501, 689, 286, 898, 781, 2182, 547, 4952, 938, 1158, 2221, 1510, 6517, 267, 21772, 267, 543, 27858, 18186, 4040, 1472, 256, 1809, 782, 1346, 6472, 991, 4492, 267, 543, 602, 4492, 6140, 2501, 689, 835, 2707, 281, 19386, 267, 849, 1634, 607, 19020, 3282, 269, 1924, 875, 798, 649, 1265, 713, 10475, 3109, 4154, 9944, 519, 3047, 781, 2627, 286, 2334, 781, 1141, 19386, 2520, 5505, 2097, 883, 1404, 256, 1358, 946, 741, 1620, 540, 7725, 267, 3889, 267, 543, 3157, 2620, 1369, 519, 3047, 547, 12398, 2127, 1141, 30691, 1765, 11798, 543, 2067, 3154, 1765, 732, 2693, 547, 18645, 269, 2913, 781, 4685, 883, 519, 4241, 2361, 540, 19386, 20569, 2439, 5331, 3054, 607, 513, 19792, 10478, 585, 6456, 16782, 269, 5502, 540, 3168, 585, 4503, 14446, 610, 12617, 14951, 1750, 7370, 267, 707, 5692, 568, 547, 3605, 11895, 23854, 4904, 609, 5277, 4154, 269, 1677, 9585, 713, 9028, 267, 596, 1590, 1831, 5432, 609, 1114, 2010, 540, 7725, 543, 1451, 827, 519, 2189, 2175, 2838, 585, 19386, 5250, 543, 1303, 1905, 618, 269, 1411, 786, 2263, 6676, 23033, 9582, 267, 24348, 30520, 267, 543, 1585, 29212, 6127, 602, 1832, 3282, 543, 3154, 689, 29400, 780, 5575, 267, 1577, 781, 2911, 827, 4224, 2010, 269, 1703, 616, 1614, 1292, 6688, 281, 5337, 15667, 267, 23009, 545, 267, 543, 24348, 269, 16384, 928, 748, 7725, 1106, 950, 29351, 3579, 338, 1524, 2901, 2630, 610, 1657, 2666, 269, 1452, 7725, 5749, 1405, 1360, 1271, 585, 19386, 2520, 5505, 1317, 789, 1810, 1405, 2270, 5214, 1570, 2877, 585, 3282, 5108, 269, 2201, 519, 824, 1688, 267, 23009, 545, 7725, 1376, 607, 2901, 5337, 15667, 610, 24348, 7725, 855, 10929, 2242, 1813, 547, 3002, 267, 2604, 267, 610, 26947, 3742, 12862, 269, 2755, 930, 23009, 545, 7725, 666, 5352, 1507, 5666, 540, 3282, 267, 621, 781, 5631, 519, 3791, 1826, 267, 24348, 7725, 267, 602, 19306, 938, 3007, 780, 306, 539, 21747, 7725, 1267, 689, 11761, 267, 6283, 267, 18254, 267, 543, 2781, 7695, 540, 7777, 5536, 936, 942, 269, 1879, 6263, 7103, 899, 13479, 543, 28506, 2023, 5884, 267, 741, 3788, 7017, 1524, 693, 519, 5377, 540, 4703, 540, 1216, 971, 607, 12647, 267, 15798, 267, 610, 12084, 269, 3683, 6634, 540, 1296, 267, 6106, 2390, 6106, 540, 891, 4666, 7103, 1628, 909, 267, 8108, 5394, 9696, 540, 5214, 11656, 16095, 7723, 267, 32549, 267, 610, 14680, 269, 901, 1184, 5036, 519, 3942, 585, 2870, 1761, 2959, 540, 19386, 780, 3086, 1934, 781, 1141, 1919, 1205, 4277, 256, 7201, 1808, 2837, 543, 2604, 2175, 267, 1978, 3114, 6547, 2049, 1369, 891, 3504, 7286, 12074, 267, 13321, 519, 5214, 2339, 883, 23128, 4094, 12544, 4396, 267, 14589, 344, 6219, 269, 2060, 2417, 19746, 267, 2799, 5210, 267, 543, 3606, 942, 267, 23128, 4094, 9397, 1524, 1256, 811, 267, 16089, 5277, 543, 31529, 30691, 9789, 2679, 7161, 540, 3282, 543, 3154, 2439, 4913, 267, 4466, 5318, 20115, 540, 3282, 3884, 1405, 1175, 827, 7114, 5078, 2707, 7725, 269, 1280, 19386, 547, 2445, 538, 20749, 14323, 9424, 267, 621, 2115, 547, 22109, 998, 15449, 762, 7725, 899, 5070, 18429, 610, 5762, 3293, 3327, 919, 2394, 621, 13341, 513, 15972, 2497, 269, 6056, 540, 713, 3460, 899, 11423, 909, 513, 17891, 609, 2011, 282, 952, 972, 781, 1100, 11064, 547, 3247, 519, 7269, 267, 519, 17891, 8952, 3395, 8273, 269, 6684, 267, 3282, 543, 3154, 3136, 3001, 16057, 2394, 789, 7237, 513, 13021, 267, 2356, 4646, 676, 6650, 1889, 762, 7725, 899, 695, 2297, 267, 18493, 2572, 267, 610, 6070, 6106, 269, 4495, 16290, 267, 21350, 10042, 256, 1284, 723, 6000, 513, 1761, 19386, 13111, 2439, 8170, 1576, 267, 29466, 891, 1016, 614, 10328, 13284, 1127, 3322, 10427, 2029, 543, 2553, 3564, 1018, 2038, 17701, 1185, 1569, 547, 269, 7073, 19386, 2520, 5505, 7048, 8185, 593, 20381, 12220, 267, 1134, 20743, 267, 4295, 5439, 267, 543, 2780, 3631, 547, 21264, 519, 1950, 11015, 4773, 15720, 9944, 519, 3047, 781, 12933, 269, 1635, 10128, 1239, 689, 2789, 10459, 267, 1519, 7293, 20569, 267, 14404, 19973, 267, 11159, 1108, 267, 543, 2520, 2684, 12695, 267, 3744, 4062, 1927, 6946, 2984, 24223, 519, 5169, 267, 9194, 267, 13250, 267, 543, 11091, 540, 3407, 8652, 21666, 2200, 780, 1103, 3932, 267, 19386, 20569, 568, 606, 17938, 1791, 908, 11100, 540, 2257, 267, 3408, 267, 543, 6602, 269, 5664, 1153, 1053, 5461, 538, 6061, 13655, 267, 26500, 11580, 267, 610, 1818, 1713, 7418, 547, 2486, 1522, 2015, 13197, 11678, 538, 713, 6422, 2361, 269, 5808, 6487, 286, 9320, 14693, 9358, 1223, 948, 1379, 519, 2104, 676, 4466, 1007, 14425, 540, 3109, 4154, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 289, 4696, 294, 2207, 267, 13641, 1716, 517, 28788, 2284, 267, 7128, 2706, 23734, 550, 543, 2229, 4013, 269, 18004, 267, 11785, 267, 7136, 1421, 5239, 476, 2764, 267, 476, 8146, 280, 282, 5067, 540, 3627, 15506, 517, 14068, 3455, 543, 8861, 9796, 928, 1975, 4048, 826, 269, 4065, 281, 29859, 9142, 267, 29859, 267, 7136, 269, 6406, 2782, 3028, 281, 14520, 628, 12590, 32691, 630, 821, 540, 519, 1101, 5742, 8136, 15321, 4559, 264, 2663, 26062, 29350, 628, 12590, 32691, 267, 609, 799, 646, 3357, 547, 1715, 20252, 607, 9114, 23133, 282, 21821, 539, 538, 476, 5908, 274, 538, 519, 3689, 17039, 630, 4462, 542, 264, 595, 10052, 787, 543, 26017, 7577, 667, 282, 9782, 547, 7584, 540, 9114, 23133, 3935, 601, 543, 729, 1786, 23439, 1540, 3935, 601, 538, 476, 5908, 276, 585, 968, 17304, 603, 995, 543, 5789, 3218, 1190, 3028, 892, 538, 519, 16353, 22411, 282, 20754, 538, 513, 1236, 3305, 880, 693, 8771, 5211, 267, 5487, 1421, 476, 5908, 275, 269, 2991, 2112, 267, 6039, 607, 804, 17064, 538, 19549, 10588, 5589, 7451, 7040, 538, 1715, 20252, 282, 9411, 519, 27062, 17318, 267, 1309, 269, 476, 5908, 279, 267, 12912, 2706, 23734, 550, 267, 2904, 476, 275, 267, 476, 6942, 271, 282, 12517, 20754, 5181, 476, 1691, 267, 476, 6942, 275, 267, 693, 519, 11135, 540, 23068, 9255, 267, 759, 11220, 689, 3196, 267, 476, 6942, 276, 269, 4419, 539, 607, 1533, 3454, 21689, 538, 519, 19549, 10588, 540, 1715, 20252, 267, 1309, 269, 476, 6942, 276, 268, 6942, 279, 282, 2022, 332, 4292, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 30821, 15950, 30578, 257, 607, 851, 540, 834, 31900, 1299, 22957, 1315, 8891, 15950, 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, 6092, 5149, 281, 4197, 4065, 3687, 31559, 543, 3493, 25902, 1107, 10312, 593, 16199, 531, 27872, 692, 8702, 547, 713, 3078, 1576, 1770, 1141, 649, 786, 1451, 827, 4065, 3687, 31559, 543, 3493, 25902, 676, 3695, 513, 2027, 1445, 1858, 281, 16199, 531, 13995, 256, 5620, 596, 2479, 4862, 540, 10300, 531, 2472, 1354, 286, 1358, 616, 3688, 602, 723, 1044, 14468, 607, 7989, 24777, 896, 9099, 1876, 269, 901, 2882, 1426, 267, 30143, 267, 31534, 267, 543, 1256, 2883, 2533, 256, 1924, 875, 1281, 513, 2197, 2327, 602, 891, 2472, 2743, 7453, 4441, 286, 2334, 781, 1141, 4065, 3687, 31559, 543, 3493, 25902, 2097, 883, 1404, 269, 2913, 781, 4685, 1318, 538, 2439, 5331, 1373, 513, 21717, 899, 707, 2383, 945, 14560, 10707, 519, 1158, 269, 1411, 1616, 547, 2119, 2199, 3536, 543, 2263, 1114, 4529, 1247, 1869, 1739, 707, 3909, 4978, 269, 1215, 666, 596, 3972, 1018, 596, 3548, 610, 946, 568, 5963, 10300, 531, 286, 4270, 267, 972, 616, 3906, 5001, 3743, 585, 10992, 543, 5909, 4328, 891, 2472, 865, 1004, 899, 596, 666, 2972, 873, 5855, 6954, 256, 1452, 2516, 1419, 960, 5702, 609, 4065, 3687, 31559, 543, 3493, 25902, 1317, 789, 991, 8036, 8524, 832, 543, 4966, 547, 6218, 2472, 5265, 780, 3080, 971, 3919, 568, 29273, 298, 8379, 630, 1492, 14570, 1014, 4972, 540, 9099, 4886, 1070, 799, 5063, 5189, 513, 1007, 1505, 1572, 519, 674, 28999, 327, 5689, 714, 328, 1935, 269, 898, 2337, 2638, 952, 3157, 543, 2326, 1031, 538, 1818, 2472, 5447, 609, 9099, 10752, 269, 1635, 3257, 713, 267, 789, 3895, 2648, 543, 23502, 1851, 12356, 1472, 519, 8608, 1210, 1945, 1634, 607, 519, 31670, 3901, 534, 561, 559, 1325, 3133, 1523, 269, 27355, 1405, 621, 5863, 875, 2069, 4249, 513, 1909, 1934, 2496, 3086, 1577, 781, 2911, 10509, 256, 9894, 596, 917, 602, 2576, 2813, 519, 1158, 781, 1101, 5857, 11672, 10687, 680, 5050, 1357, 11422, 286, 962, 1575, 256, 1323, 4065, 12080, 1522, 12840, 609, 9367, 547, 1711, 2645, 602, 948, 12356, 2226, 741, 5132, 2228, 1932, 269, 15346, 267, 26001, 2496, 4131, 781, 1205, 4052, 1631, 269, 5994, 2324, 585, 13660, 2684, 12609, 267, 513, 2754, 1759, 538, 17111, 12544, 3056, 6345, 538, 10300, 531, 31534, 269, 2659, 2816, 1131, 4125, 4180, 6527, 1246, 9099, 4808, 1282, 2504, 269, 16319, 4101, 855, 14785, 267, 1318, 286, 1656, 7058, 1018, 286, 1677, 14133, 538, 713, 2361, 267, 4974, 2182, 543, 11543, 1702, 538, 2257, 267, 2029, 267, 543, 4984, 1131, 581, 1898, 2439, 15919, 267, 1004, 8044, 936, 2436, 649, 2731, 991, 10300, 531, 4152, 2094, 1082, 3494, 922, 3483, 568, 1152, 547, 13182, 952, 1945, 568, 10300, 531, 610, 711, 269, 1717, 267, 1705, 596, 917, 602, 4255, 2965, 1489, 519, 10300, 531, 17258, 540, 513, 1587, 781, 5137, 1184, 286, 6056, 827, 621, 281, 1403, 596, 941, 2469, 547, 4444, 513, 9067, 22496, 13042, 1412, 15595, 531, 10086, 9327, 1405, 596, 1745, 1732, 6616, 602, 1169, 12146, 543, 1900, 3144, 547, 3132, 621, 729, 13761, 8499, 286, 2986, 1576, 2439, 7661, 267, 1577, 781, 1413, 1394, 693, 2622, 16199, 531, 10432, 476, 1001, 279, 269, 4438, 2621, 899, 891, 267, 13222, 689, 1585, 2477, 5531, 547, 1865, 3584, 1644, 547, 10300, 531, 6080, 269, 4065, 3687, 31559, 543, 3493, 25902, 8362, 7119, 538, 4687, 1655, 2853, 267, 4259, 2518, 4441, 267, 543, 5807, 3486, 9316, 269, 3807, 4952, 5870, 1004, 689, 3309, 10080, 7234, 2081, 547, 2087, 938, 1620, 540, 5771, 543, 922, 1764, 593, 4948, 1272, 2439, 3383, 267, 1250, 8284, 8049, 8186, 267, 3884, 1405, 1565, 827, 4065, 3687, 31559, 543, 3493 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3873, 30389, 1062, 2241, 2165, 7149, 693, 602, 19671, 543, 1281, 283, 1962, 29451, 692, 2254, 946, 1776, 5102, 2917, 269, 283, 1962, 29451, 692, 2252, 519, 4452, 26693, 476, 1911, 11899, 267, 513, 3196, 540, 476, 1015, 11899, 1131, 723, 547, 283, 1962, 29451, 692, 2041, 4294, 693, 519, 688, 30389, 1899, 547, 1489, 519, 4452, 269, 31745, 528, 283, 1962, 29451, 692, 6262, 264, 1131, 581, 16271, 547, 513, 3196, 540, 476, 2568, 11899, 543, 19671, 630, 323, 264, 283, 1962, 29451, 692, 30524, 581, 16271, 547, 513, 3196, 540, 476, 2004, 11899, 269, 283, 1962, 29451, 692, 2252, 596, 1031, 513, 2582, 19671, 1448, 676, 11836, 630, 322, 264, 543, 630, 323, 264, 519, 283, 1962, 29451, 692, 338, 17532, 19671, 1131, 581, 16271, 547, 513, 3196, 540, 476, 8099, 11899, 269, 283, 1962, 29451, 692, 10673, 1406, 7340, 602, 2899, 519, 688, 30389, 5106, 862, 1878, 283, 1962, 29451, 692, 1492, 4229, 786, 2333, 1813, 547, 3773, 11508, 269, 283, 1962, 29451, 692, 1692, 547, 5173, 519, 2999, 17641, 285, 9288, 22817, 9572, 17641, 285, 2999, 17641, 285, 3849, 2779, 720, 9572, 17641, 285, 910, 476, 1321, 910, 1635, 7033, 16737, 1299, 631, 1157, 4591, 2023, 283, 1962, 29451, 692, 1993, 688, 30389, 1949, 267, 476, 273, 526, 7160, 269, 283, 1962, 29451, 692, 12552, 547, 32149, 774, 11448, 692, 8201, 476, 1321, 10790, 815, 476, 272, 281, 272, 283, 1962, 29451, 692, 8201, 476, 1724, 10790, 815, 476, 273, 281, 272, 283, 1962, 29451, 692, 8201, 476, 1691, 10790, 815, 476, 274, 281, 272, 283, 1962, 29451, 692, 8201, 476, 1428, 10790, 815, 476, 275, 281, 272, 283, 1962, 29451, 692, 8201, 476, 1626, 10790, 815, 476, 277, 281, 272, 283, 1962, 29451, 692, 8201, 476, 1704, 10790, 815, 476, 280, 281, 272, 283, 1962, 29451, 692, 8201, 476, 1240, 10790, 815, 476, 1015, 281, 272, 283, 1962, 29451, 692, 8201, 476, 866, 10790, 815, 476, 1428, 281, 272, 283, 1962, 29451, 692, 8201, 476, 736, 10790, 815, 476, 274, 281, 272, 283, 1962, 29451, 692, 8201, 476, 2641, 10790, 815, 476, 275, 281, 272, 283, 1962, 29451, 692, 8201, 476, 2420, 10790, 815, 476, 276, 281, 272, 283, 1962, 29451, 692, 1692, 547, 5173, 519, 2999, 17641, 285, 9288, 22817, 9572, 17641, 285, 2999, 17641, 285, 3849, 2779, 720, 9572, 17641, 285, 910, 476, 1724, 910, 1635, 7033, 16737, 1299, 631, 1157, 4591, 2023, 283, 1962, 29451, 692, 1993, 688, 30389, 1949, 267, 476, 273, 526, 7160, 269, 283, 1962, 29451, 692, 12552, 547, 32149, 774, 11448, 0, 258, 17438, 5999, 692, 272, 269, 5565, 18062, 616, 18202, 14477, 269, 4855, 519, 5506, 547, 1205, 2040, 568, 476, 1015, 563, 273, 270, 276, 454, 1691, 454, 273, 270, 280, 454, 272, 270, 1321, 454, 276, 270, 279, 454, 29682, 667, 454, 26473, 1600, 815, 630, 277, 2073, 476, 275, 3738, 2073, 630, 275, 2073, 476, 277, 264, 2073, 630, 476, 276, 267, 476, 276, 264, 815, 476, 274, 454, 20135, 815, 476, 277, 2608, 476, 277, 815, 476, 3607, 454, 22238, 1464, 815, 476, 274, 270, 3607, 815, 476, 272, 270, 1321, 692, 273, 269, 5565, 546, 1182, 616, 18202, 856, 1927, 267, 1287, 1018, 568, 519, 5506, 540, 3478, 513, 1297, 540, 835, 18062, 3152, 982, 519, 1297, 540, 824, 18062, 15017, 273, 270, 274, 454, 272, 270, 277, 454, 274, 270, 279, 454, 272, 270, 279, 454, 276, 270, 277, 454, 29682, 661, 454, 15239, 1922, 27544, 2621, 815, 630, 272, 2073, 476, 272, 264, 2073, 630, 273, 2073, 476, 273, 264, 2073, 630, 274, 2073, 476, 274, 264, 2073, 630, 275, 2073, 476, 275, 264, 2073, 630, 276, 2073, 476, 276, 264, 2073, 630, 277, 267, 277, 264, 815, 476, 277, 454, 20135, 815, 476, 277, 2608, 476, 277, 815, 476, 3607, 454, 22238, 1464, 540, 1875, 1922, 27544, 2621, 815, 476, 277, 270, 3607, 815, 476, 272, 270, 277, 454, 22238, 1464, 540, 15028, 2621, 815, 476, 272, 1107, 476, 272, 270, 277, 815, 476, 276, 270, 277, 692, 274, 269, 1403, 476, 273, 6486, 568, 6537, 693, 14477, 689, 476, 7367, 6486, 267, 1287, 1265, 519, 5506, 540, 3478, 1312, 616, 2699, 6486, 563, 1724, 270, 2764, 454, 2918, 270, 10755, 454, 2764, 270, 10482, 454, 1839, 270, 9083, 454, 333, 821, 540, 891, 454, 29682, 667, 454, 26473, 1600, 815, 476, 2918, 290, 273, 815, 476, 2918, 2608, 476, 1839, 270, 273, 815, 476, 1724, 2608, 476, 1839, 454, 20135, 815, 476, 7367, 290, 273, 815, 476, 7367, 2608, 476, 7906, 1315, 476, 273, 815, 476, 2918, 2608, 476, 7906, 454, 22238, 1464, 815, 476, 1724, 2608, 476, 1839, 1315, 476, 2918, 2608, 476, 7906, 815, 476, 1839, 1315, 9083, 692, 275, 269, 769, 875, 1082, 2081, 267, 649, 666, 6582, 519, 5022, 540, 519, 2262, 2048, 299, 20846, 685, 15017, 10019, 454, 2764, 454, 9610, 454, 8182, 454, 6344, 454, 29682, 661, 454, 310, 904, 815, 476, 276, 256, 815, 476, 276, 2608, 476, 275, 2608, 476, 274, 2608, 476, 273, 2608, 476, 272, 815, 476, 6344, 692, 276, 269, 769, 875, 1082, 1114, 2081, 267, 649, 666, 6582, 519, 5022, 540, 519, 2262, 2048, 19616, 27516, 685, 2073, 865, 602, 519, 1647, 2990, 568, 2141, 13026, 676, 2048, 306, 685, 15017, 1839, 454, 2190, 454, 4366, 454, 5655, 454, 6924, 454, 29682, 645, 454, 310, 904, 815, 476, 275, 256, 815, 476, 275, 2608, 476, 274, 2608, 476, 273, 2608, 476, 272, 815, 476, 2190, 692, 277, 269, 1215, 1082, 2081, 476, 277, 2835, 666, 581, 5697, 689, 476, 1691, 1114, 2835, 2073, 952, 1079, 1880, 2835, 616, 2141, 5697, 15017, 275, 4817, 454, 21878, 454, 23211, 454, 29575, 454, 26392, 454, 29682, 589, 454, 13510, 9005, 3615, 815, 476, 1691, 1107, 476, 273, 815, 476, 1321, 454, 310, 904, 815, 476, 1321, 290, 275, 815, 476, 1321, 2608, 476, 1556, 2608, 476, 1015, 2608, 476, 280, 270, 275, 2608, 476, 274, 2608, 476, 273, 2608, 476, 272, 815, 476, 275, 4817, 692, 278, 269, 589, 9126, 3568, 476, 273, 3043, 11084, 267, 476, 274, 11909, 11084, 543, 476, 273, 3109, 11084, 269, 476, 273, 11084, 616, 6537, 14477, 269, 1548, 568, 519, 5506, 602, 972, 568, 1100, 3109, 11084, 15017, 279, 270, 2641, 454, 1015, 270, 2641, 454, 272, 270, 279, 454, 274, 270, 276, 454, 277, 270, 1556, 454, 29682, 645, 454, 26473, 1600, 815, 476, 276, 290, 273, 815, 476, 276, 265, 275, 270, 273, 815, 476, 1015, 454, 20135, 815, 476, 278, 290, 273, 815, 476, 278, 2608, 476, 277, 1315, 476, 273, 815, 476, 2641, 454, 22238, 1464, 815, 476, 1015, 270, 2641, 692, 279, 269, 1879, 1079, 11113, 616, 19184, 539, 8195, 267, 1287, 1265, 519, 5506, 540, 3478, 693, 2547, 835, 2766, 563, 276, 454, 274, 454, 274, 270, 275, 454, 272, 270, 275, 454, 273, 270, 276, 454, 29682, 595, 454, 26473, 1600, 815, 630, 476, 272, 2212, 2073, 476, 272, 2766, 3738, 2073, 630, 476, 273, 21217, 264, 815, 630, 273, 290, 272, 264, 1341, 630, 273, 290, 273, 264, 815, 476, 273, 1341, 476, 272, 815, 476, 274, 454, 20135, 815, 476, 273, 317, 273, 815, 476, 275, 454, 22238, 1464, 815, 476, 274, 270, 275, 692, 280, 269, 589, 9126, 3568, 476, 275, 2699, 11084, 267, 476, 273, 4544, 11084, 543, 476, 273, 3039, 11084, 1547, 1403, 1079, 11084, 616, 6537, 14477, 689, 519, 9126, 2073, 1287, 1265, 519, 5506, 540, 3478, 1312, 11084, 540, 1114, 2681, 563, 273, 270, 278, 454, 276, 270, 279, 454, 276, 270, 278, 454, 275, 454, 279, 454, 29682, 595, 454, 22238, 1464, 815, 476, 275, 290, 272, 2608, 476, 273, 290, 272, 1315, 476, 279, 290, 273, 1341, 476, 275, 290, 272, 2608, 476, 273, 290, 272, 1315, 476, 279, 290, 273, 1341, 476, 273, 290, 272, 2608, 476, 273, 290, 272, 1315, 476, 279, 290, 273, 454, 263, 275, 2608, 476, 273, 2608, 476, 273, 8358, 476, 279, 2608, 476, 278, 1341, 630, 275, 2608, 476, 273, 2608, 476, 273, 8358, 476, 279, 2608, 476, 278, 1341, 630, 273, 2608, 476, 273, 2608, 476, 273, 264, 1315, 476, 279, 2608, 476, 278, 815, 476, 273, 270, 278, 1341, 476, 273, 270, 278, 1341, 476, 272, 270, 278, 815, 476, 276, 270, 278, 692, 1015, 269, 589, 1895, 540, 1053, 9361, 1472, 513, 14328, 3349, 267, 1265, 5506, 540, 476, 273, 9138, 1053, 9361, 1927, 563, 274, 270, 279, 454, 273, 270, 278, 454, 279, 270, 278, 454, 274, 270, 279, 454, 277, 270, 1556, 454, 29682, 645, 454, 293, 27544, 2665, 815, 476, 277, 256, 2608, 476, 273, 2336, 20135, 2665, 815, 476, 278, 2336, 22238, 1464, 815, 476, 277, 256, 2608, 476, 273, 256, 1315, 278, 256, 815, 476, 273, 270, 278, 692, 2971, 26592, 589, 696, 3363, 281, 17438, 5999, 1107, 5590, 476, 2537, 692, 10521, 18062, 616, 18202, 14477, 269, 4855, 519, 5506, 547, 1205, 2040, 568, 476, 1015, 269, 273, 270, 276, 1691, 273, 270, 11011, 270, 10219, 270, 279, 29682, 667, 22490, 815, 630, 277, 2073, 476, 275, 3738, 27250, 2971, 26592, 589, 696, 3363, 281, 17438, 5999, 1107, 5590, 476, 2420, 692, 10521, 18062, 616, 18202, 14477, 269, 4855, 519, 5506, 547, 1205, 2040, 568, 476, 1015, 269, 273, 270, 276, 1691, 273, 270, 11011, 270, 10219, 270, 279, 29682, 667, 22490, 815, 630, 277, 2073, 476, 275, 3738, 27250, 2971, 26592, 589, 696, 3363, 281, 17438, 5999, 1107, 5590, 476, 2641, 692, 2252, 11113, 616, 19184, 539, 267, 1287, 1265, 519, 5506, 540, 3478, 693, 2547, 476, 274, 21217, 593, 519, 3068, 269, 279, 270, 280, 6078, 270, 6078, 270, 2420, 270, 276, 29682, 667, 22490, 815, 27250, 2971, 26592, 589, 696, 3363, 281, 17438, 5999, 1107, 5590, 476, 736, 692, 288, 9126, 3568, 476, 279, 3039, 11084, 543, 476, 1321, 4544, 11084, 269, 1403, 513, 3440, 568, 6537, 14477, 267, 1287, 1265, 519, 5506, 27250, 2971, 26592, 589, 696, 3363, 281, 17438, 5999, 1107, 5590, 476, 866, 692, 10521, 546, 1182, 616, 18202, 1524, 8195, 267, 1287, 1265, 519, 5506, 540, 3478, 2040, 540, 2164, 593, 1312, 546, 1182, 811, 982, 27250, 2971, 26592, 589, 696, 3363, 281, 17438, 5999, 1107, 5590, 476, 1240, 692, 1103, 875, 1082, 1114, 2081, 519, 4484, 540, 1412, 300, 3036, 289, 2839, 262, 666, 581, 11231, 7790, 278, 3199, 24798, 30663, 27151, 333, 821, 540, 891, 29682, 645, 2838, 1100, 269, 540, 2081, 284, 277, 256, 284, 24798, 27250, 2971, 26592, 589, 696, 3363, 281, 17438, 5999, 1107, 5590, 476, 1704, 692, 1103, 513, 19068, 267, 11004, 616, 476, 277, 13212, 267, 274, 27335, 2073, 476, 276, 18683, 543, 476, 273, 1368, 6072, 28560, 1614, 3688, 616, 13603, 693, 4351, 267, 6343, 568, 27250, 2971, 26592, 589, 696, 3363, 281, 17438, 5999, 1107, 5590, 476, 1626, 692, 288, 9126, 3568, 476, 274, 6299, 344, 11084, 543, 476, 279, 4544, 11084, 543, 1776, 9126, 3568, 476, 276, 6299, 344, 11084, 543, 476, 278, 4544, 27250, 2971, 26592, 589, 696, 3363, 281, 17438, 5999, 1107, 5590, 476, 1428, 692, 288, 7047, 517, 3568, 476, 2641, 11084, 22921, 476, 272, 547, 476, 2641, 269, 589, 3440, 568, 6537, 543, 1287, 1776, 3440, 568, 6537, 1510, 27250, 2971, 26592, 589, 696, 3363, 281, 17438, 5999, 1107, 5590, 476, 1691, 692, 2467, 616, 476, 276, 8695, 543, 476, 274, 6690, 269, 589, 1895, 540, 476, 274, 2818, 568, 547, 581, 1500, 269, 4855, 519, 5506, 602, 27250, 2971, 26592, 589, 696, 3363, 281, 17438, 5999, 1107, 5590, 476, 1724, 692, 288, 9126, 3568, 476, 276, 6299, 344, 11084, 543, 476, 278, 3109, 11084, 269, 5565, 11084, 616, 6537, 693, 4351, 1510, 10682, 267, 543, 1287, 27250, 2971, 26592, 589, 696, 3363, 281, 17438, 5999, 1107, 5590, 476, 1321, 692, 10521, 2828, 589, 543, 645, 7902, 585, 606, 5542, 1547, 2913, 661, 272, 581, 519, 2680, 602, 589, 568, 5697, 543, 27250, 2971, 26592, 589, 696, 3363, 281, 17438, 5999, 1107, 5590, 476, 1556, 692, 1103, 875, 1082, 2081, 666, 476, 274, 24712, 543, 476, 275, 32482, 2354, 476, 273, 795, 11047, 1149, 666, 581, 11231, 538, 513, 6095, 1633, 971, 602, 27250, 2971, 26592, 589, 696, 3363, 281, 17438, 5999, 1107, 5590, 476, 1015, 692, 288, 9126, 3568, 476, 1321, 3043, 543, 476, 1240, 3109, 11084, 269, 5565, 11084, 616, 6537, 538, 19588, 1510, 10682, 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 ]
[ 896, 323, 9233, 3094, 476, 2004, 269, 275, 260, 540, 942, 269, 4935, 29202, 616, 711, 513, 1434, 914, 269, 1452, 1239, 5815, 602, 519, 1899, 593, 29202, 568, 1102, 3836, 547, 1491, 5413, 540, 519, 9186, 540, 914, 339, 832, 4724, 29202, 269, 1280, 1383, 267, 950, 4259, 519, 1899, 585, 8111, 30558, 2473, 299, 296, 519, 1433, 20447, 949, 723, 2219, 519, 2051, 1206, 941, 1152, 476, 277, 2798, 1732, 982, 519, 645, 8986, 269, 4595, 914, 339, 832, 616, 21678, 4724, 519, 5172, 267, 519, 1433, 20447, 1522, 1305, 519, 1899, 693, 2051, 1206, 2443, 278, 269, 4595, 519, 3020, 3510, 568, 602, 519, 2051, 1206, 616, 476, 277, 2798, 1732, 982, 519, 645, 8986, 267, 513, 914, 593, 2051, 1206, 2443, 278, 814, 1447, 982, 513, 476, 2004, 260, 4960, 540, 10888, 269, 5221, 914, 339, 832, 616, 21678, 4724, 29202, 267, 538, 782, 10171, 6266, 540, 2724, 786, 1869, 2097, 538, 593, 519, 2051, 1206, 269, 4595, 519, 3020, 1448, 3262, 692, 268, 26783, 7042, 2162, 11872, 585, 713, 2985, 692, 2252, 596, 616, 3843, 547, 2824, 1257, 547, 1711, 8711, 610, 14327, 267, 3314, 602, 596, 1590, 1631, 4945, 610, 7148, 593, 519, 1101, 2262, 267, 543, 1287, 4945, 610, 7148, 593, 519, 2063, 2262, 563, 3080, 4090, 4429, 9377, 5435, 1788, 568, 1631, 707, 3742, 1788, 563, 19061, 3688, 454, 24687, 454, 29241, 713, 2985, 692, 2971, 24764, 2985, 692, 306, 1399, 548, 454, 290, 14591, 616, 2139, 1152, 547, 938, 3742, 2818, 563, 24246, 8216, 1569, 547, 13712, 3817, 610, 15102, 538, 17090, 476, 279, 267, 17090, 476, 278, 267, 14905, 543, 9628, 11239, 6163, 780, 27887, 514, 1817, 333, 267, 476, 1960, 273, 267, 533, 269, 476, 1839, 2020, 27887, 514, 1817, 333, 476, 1839, 2020, 27887, 514, 1817, 333, 476, 1839, 2020, 272, 269, 10753, 529, 808, 269, 661, 514, 1817, 333, 267, 14062, 12493, 267, 519, 2107, 1807, 281, 6755, 564, 7992, 519, 12493, 26499, 630, 26156, 1636, 267, 11632, 281, 5682, 6229, 4964, 267, 476, 1960, 273, 1070, 476, 1839, 267, 5291, 2517, 4178, 269, 26810, 807, 2593, 270, 1348, 270, 28638, 4572, 7176, 780, 9616, 281, 3119, 2959, 723, 5594, 1114, 4170, 585, 11239, 269, 7490, 1294, 891, 4808, 585, 811, 1344, 780, 2971, 24764, 2985, 692, 9349, 5658, 713, 2985, 454, 13043, 2280, 923, 281, 1215, 32573, 6840, 267, 2494, 6162, 267, 543, 11846, 2037, 28387, 328, 6814, 2422, 9119, 538, 28473, 267, 31336, 4252, 267, 543, 25624, 454, 8368, 540, 9115, 692, 306, 9116, 902, 692, 2971, 23994, 692, 13911, 2183, 454, 17806, 2450, 1763, 564, 7348, 7154, 454, 15507, 1369, 692, 16100, 909, 692, 2971, 6733, 909, 513, 2262, 692, 1892, 9218, 454, 1892, 634, 28445, 454, 8923, 10505, 513, 2262, 610, 8360, 1657, 563, 19530, 713, 2985, 692, 2971, 7179, 713, 2985, 692, 3963, 666, 1405, 594, 1820, 811, 982, 835, 2985, 693, 513, 942, 2496, 20055, 454, 17359, 5496, 454, 2005, 2114, 10710, 689, 713, 1433, 454, 1892, 3883, 12201, 454, 1892, 4400, 7547, 1299, 11872, 454, 1892, 13022, 725, 454, 270, 476, 3374, 279, 692, 1012, 2372, 652, 807, 5467, 948, 692, 2162, 1215, 547, 5031, 543, 13712, 1808, 15102, 692, 272, 269, 8437, 610, 7148, 519, 1101, 2262, 596, 1616, 547, 2824, 563, 273, 269, 8437, 610, 7148, 519, 2063, 2262, 596, 1616, 547, 2824, 267, 543, 596, 3580, 1294, 3388, 538, 1063, 1205, 5697, 563, 274, 269, 1411, 3580, 1287, 1205, 513, 10624, 540, 3681, 899, 2870, 513, 5031, 610, 513, 11239, 689, 602, 8574, 540, 1257, 780, 1012, 24764, 8574, 692, 306, 1399, 548, 454, 290, 14591, 616, 2139, 1152, 547, 938, 3742, 2818, 563, 24246, 8216, 1569, 547, 13712, 3817, 610, 15102, 538, 17090, 476, 279, 267, 17090, 476, 278, 267, 14905, 543, 9628, 11239, 6163, 780, 257, 21545, 2001, 532, 5128, 607, 606, 9237, 267, 8723, 1268, 5280, 12493, 2697, 609, 1010, 9458, 1701, 630, 292, 514, 1817, 333, 267, 476, 1960, 273, 267, 533, 269, 476, 1839, 6393, 257, 21545, 2001, 532, 5128, 607, 606, 9237, 267, 8723, 1268, 5280, 12493, 2697, 609, 1010, 9458, 1701, 630, 292, 514, 1817, 333, 476, 1839, 2020, 257, 21545, 2001, 532, 5128, 607, 606, 9237, 267, 8723, 1268, 5280, 12493, 2697, 609, 1010, 9458, 1701, 630, 292, 514, 1817, 333, 476, 1839, 2020, 257, 21545, 2001, 532, 5128, 607, 606, 9237, 267, 8723, 1268, 5280, 12493, 2697, 609, 1010, 9458, 1701, 272, 692, 272, 269, 10753, 529, 808, 269, 661, 514, 1817, 333, 267, 14062, 12493, 267, 519, 2107, 1807, 281, 6755, 564, 7992, 519, 12493, 26499, 630, 26156, 1636, 267, 11632, 281, 5682, 6229, 4964, 267, 476, 1960, 273, 1070, 476, 1839, 267, 5291, 2517, 4178, 269, 26810, 807, 2593, 270, 1348, 270, 28638, 4572, 7176, 780, 1012, 8729, 585, 3843, 2372, 652, 807, 2439, 8923, 3136, 3843, 856, 938, 1382, 2645, 267, 855, 5225, 4063, 267, 2407, 10342, 568, 2139, 1152, 547, 938, 3742, 2818, 780, 7312, 960, 786, 581, 4503, 2899, 596, 4734, 713, 5680, 2985, 780, 24246, 8216, 1569, 547, 4688, 707, 960, 780, 2704, 2819, 513, 4759, 286, 8298, 538, 1631, 780, 15507, 676, 2483, 17004, 13718, 2162, 744, 3591, 2439, 2304, 7164, 5470, 814, 7018, 269, 7490, 4945, 519, 7735, 2630, 547, 882, 1933, 519, 2985, 269, 1403, 519, 1966, 26251, 267, 5225, 2119, 1586, 538, 513, 2370, 1247, 269, 0, 258, 7726, 1948, 539, 6507, 324, 692, 14257, 476, 1724, 267, 476, 1001, 278, 692, 259, 346, 290, 13925, 272, 348, 2715, 295, 13925, 273, 348, 2715, 302, 13925, 272, 10592, 2971, 19247, 1384, 4131, 781, 2119, 547, 960, 713, 998, 780, 7445, 3667, 10233, 15830, 561, 579, 552, 7346, 3667, 346, 272, 264, 27539, 476, 1911, 575, 3732, 543, 9062, 676, 21159, 547, 1265, 2527, 540, 1142, 3693, 32556, 259, 290, 815, 476, 4375, 269, 4200, 575, 14204, 259, 295, 815, 476, 277, 269, 8064, 575, 14204, 259, 302, 815, 476, 7871, 269, 2764, 575, 6911, 7445, 3667, 10233, 15830, 561, 579, 552, 7346, 3667, 346, 273, 264, 12648, 2527, 540, 1142, 3693, 543, 6460, 547, 18253, 1210, 24855, 2527, 689, 13350, 3349, 32556, 7445, 3667, 346, 27793, 257, 15010, 263, 4375, 269, 4200, 326, 19422, 272, 31618, 272, 834, 28485, 257, 19422, 1321, 326, 264, 815, 476, 274, 269, 3451, 257, 12387, 595, 10592, 7445, 3667, 346, 22134, 4088, 257, 15010, 263, 277, 269, 8064, 326, 19422, 272, 31618, 272, 834, 28485, 257, 19422, 272, 269, 876, 326, 264, 815, 476, 277, 269, 8064, 257, 12387, 670, 10592, 7445, 3667, 346, 23682, 4723, 257, 15010, 263, 7871, 269, 2764, 326, 19422, 272, 31618, 272, 834, 28485, 257, 19422, 1626, 326, 264, 815, 476, 274, 269, 3451, 257, 12387, 744, 10592, 7445, 3667, 10233, 15830, 561, 579, 552, 7346, 3667, 346, 274, 264, 19667, 728, 519, 18253, 676, 519, 10545, 3727, 1297, 540, 519, 1614, 2418, 32556, 7445, 3667, 346, 27793, 348, 1422, 1729, 1422, 2765, 346, 274, 269, 3451, 2410, 274, 269, 3451, 348, 815, 476, 272, 14204, 7445, 3667, 346, 22134, 4088, 348, 1422, 1729, 1422, 2765, 346, 277, 269, 8064, 2410, 274, 269, 3451, 348, 815, 476, 273, 269, 6734, 1422, 13627, 476, 273, 14204, 7445, 3667, 346, 23682, 4723, 348, 1422, 1729, 1422, 2765, 346, 274, 269, 3451, 2410, 274, 269, 3451, 348, 815, 476, 272, 6911, 7445, 3667, 10233, 15830, 561, 579, 552, 7346, 3667, 346, 275, 264, 2237, 856, 519, 3693, 609, 741, 15197, 2898, 1297, 3727, 12753, 32556, 259, 346, 290, 13925, 272, 348, 2715, 295, 13925, 273, 348, 2715, 302, 13925, 272, 10592, 12585, 281, 259, 346, 290, 13925, 272, 348, 2715, 295, 13925, 273, 348, 2715, 302, 13925, 272, 4151, 0, 258, 27387, 281, 10321, 286, 513, 17070, 476, 1911, 343, 3152, 982, 513, 1532, 692, 272, 269, 12361, 10321, 286, 513, 17070, 476, 1911, 343, 3152, 982, 513, 1532, 692, 10521, 10321, 589, 543, 645, 723, 10502, 3160, 3172, 6421, 269, 769, 1931, 585, 519, 9588, 540, 589, 1341, 645, 547, 581, 476, 1911, 2053, 3677, 982, 519, 9588, 540, 589, 910, 645, 267, 1018, 1590, 581, 519, 5086, 1063, 873, 2496, 296, 1810, 1405, 1256, 917, 1141, 547, 1376, 269, 594, 3801, 547, 4194, 713, 11617, 607, 1022, 948, 594, 1413, 909, 2228, 2882, 12596, 971, 607, 519, 834, 25346, 257, 4542, 799, 649, 723, 2943, 547, 1865, 538, 1362, 610, 1256, 20726, 2509, 269, 7102, 948, 2496, 273, 269, 20323, 17397, 676, 519, 4777, 613, 454, 10521, 10321, 589, 543, 645, 723, 10502, 3160, 3172, 6421, 269, 769, 1931, 585, 519, 9588, 540, 589, 1341, 645, 547, 581, 476, 1911, 2053, 3677, 982, 519, 9588, 540, 589, 910, 645, 267, 1018, 1590, 581, 519, 5086, 1063, 873, 2496, 296, 1810, 1405, 1256, 917, 1141, 547, 1376, 269, 594, 3801, 547, 4194, 713, 11617, 607, 1022, 948, 594, 1413, 909, 2228, 2882, 12596, 971, 607, 519, 834, 25346, 257, 4542, 799, 649, 723, 2943, 547, 1865, 538, 1362, 610, 1256, 20726, 2509, 269, 7102, 948, 888, 15916, 10484, 1492, 2040, 540, 1079, 10321, 666, 581, 4330, 607, 519, 15497, 538, 513, 25521, 609, 519, 10321, 607, 922, 5011, 269, 634, 3017, 540, 1079, 10321, 3947, 519, 2034, 15497, 538, 713, 25521, 780, 2252, 4399, 11355, 2715, 320, 18098, 11355, 2715, 321, 4151, 1287, 596, 616, 7231, 609, 513, 32077, 639, 543, 519, 32377, 616, 13902, 602, 1797, 596, 616, 7231, 609, 513, 1318, 6906, 269, 630, 8450, 13613, 2020, 763, 5086, 1063, 519, 10321, 568, 1269, 273, 1422, 10401, 10608, 519, 5223, 540, 519, 3259, 540, 519, 546, 807, 690, 517, 1023, 568, 476, 272, 2433, 476, 1911, 269, 4935, 692, 7445, 11927, 7268, 10401, 21174, 2765, 3189, 2765, 346, 272, 2410, 273, 348, 1422, 10383, 22570, 11355, 21151, 32757, 11355, 15830, 348, 14587, 11513, 2765, 346, 272, 2410, 273, 348, 1422, 10383, 22570, 11355, 21151, 23180, 11355, 15830, 16585, 23201, 2334, 1797, 1384, 7445, 11927, 7268, 10401, 21174, 2765, 3189, 2765, 346, 272, 2410, 273, 348, 1422, 10383, 1422, 3847, 7268, 2765, 346, 272, 2410, 1911, 32710, 11355, 21151, 23180, 11355, 15830, 348, 9385, 2431, 14587, 11513, 2765, 346, 272, 2410, 273, 348, 1422, 10383, 22570, 11355, 21151, 23180, 11355, 15830, 348, 14587, 7807, 2765, 346, 272, 2410, 1911, 10592, 3086, 596, 666, 5173, 519, 5086, 1063, 519, 10321, 269, 594, 4312, 3893, 281, 4399, 13627, 476, 272, 269, 16409, 23373, 15132, 6911, 292, 289, 692, 274, 269, 11289, 596, 269, 594, 11214, 8694, 909, 609, 476, 1556, 269, 5379, 543, 1223, 660, 4137, 856, 1946, 780, 8005, 3591, 594, 1175, 7691, 713, 729, 538, 519, 4636, 8468, 269, 3794, 611, 596, 1336, 621, 19037, 1274, 18485, 780, 10484, 10484, 10484, 10484, 10484, 10484, 10484, 10484, 10484, 10484, 10484, 10484, 10484, 10484, 258, 1079, 10321, 589, 543, 645, 616, 10502, 3160, 9588, 267, 585, 589, 645, 547, 269, 581, 476, 1911, 2053, 3152, 3152, 982, 589, 5174, 1018, 1058, 581, 519, 606, 613, 1063, 873, 2496, 12812, 593, 513, 2165, 547, 3406, 585, 1644, 3584, 269, 0, 9943, 454, 9943, 692, 22069, 1903, 585, 3848, 476, 272, 268, 272, 281, 674, 7419, 290, 16739, 6730, 674, 7419, 290, 3582, 10691, 9569, 692, 17359, 3435, 585, 12793, 21290, 7827, 281, 589, 19369, 585, 20145, 1923, 476, 275, 628, 9990, 692, 25835, 281, 476, 7818, 271, 5325, 271, 4366, 275, 4037, 274, 692, 22069, 1903, 585, 3848, 476, 272, 268, 272, 281, 674, 7419, 290, 16739, 6730, 674, 7419, 290, 3582, 10691, 9569, 692, 22069, 1903, 585, 3848, 476, 272, 268, 272, 454, 275, 476, 276, 476, 271, 476, 23884, 17352, 454, 4029, 454, 272, 454, 25835, 281, 476, 7818, 271, 5325, 271, 4366, 275, 4037, 274, 692, 293, 17313, 21290, 7827, 281, 589, 19369, 585, 20145, 729, 2854, 676, 543, 568, 2404, 547, 519, 9768, 281, 476, 7818, 271, 5325, 271, 4366, 275, 4037, 274, 269, 901, 27763, 1837, 6668, 3391, 6227, 519, 1739, 11271, 543, 741, 3435, 269, 901, 1837, 6668, 3391, 729, 2813, 585, 519, 1837, 281, 12793, 21290, 7827, 281, 589, 19369, 585, 20145, 2073, 7160, 281, 476, 275, 269, 4595, 476, 4343, 2042, 538, 3184, 476, 272, 268, 272, 281, 674, 7419, 290, 16739, 6730, 674, 7419, 290, 3582, 10691, 9569, 723, 1044, 12943, 267, 811, 982, 476, 5908, 6924, 1053, 723, 9763, 2407, 1900, 8386, 9912, 3435, 689, 713, 3184, 269, 3848, 476, 272, 268, 272, 281, 674, 7419, 290, 16739, 6730 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4481, 593, 11184, 3780, 2473, 300, 31420, 15571, 267, 513, 22082, 538, 9682, 543, 2228, 5925, 2533, 780, 2414, 2253, 609, 267, 1577, 721, 1174, 1018, 4010, 18297, 568, 269, 20837, 532, 4016, 547, 519, 1184, 540, 23142, 1239, 27137, 607, 8301, 267, 3381, 267, 610, 1256, 3301, 1765, 11666, 28204, 936, 519, 4950, 267, 3850, 3755, 547, 2972, 519, 1543, 538, 1483, 942, 1510, 2348, 547, 4647, 621, 7357, 269, 901, 2029, 814, 9927, 519, 9913, 2872, 267, 7175, 7426, 899, 11184, 3780, 2473, 300, 31420, 15571, 547, 2709, 741, 2533, 2066, 1585, 5867, 267, 1519, 16389, 267, 5904, 267, 543, 6131, 8800, 3457, 780, 3086, 602, 649, 723, 3964, 513, 2596, 1620, 540, 18297, 267, 1577, 721, 2263, 875, 11184, 3780, 2473, 300, 31420, 15571, 13352, 883, 713, 5251, 269, 5487, 684, 3481, 538, 476, 1220, 273, 267, 11184, 3780, 3533, 1500, 6329, 538, 519, 9682, 5925, 2344, 676, 3246, 1164, 7779, 3059, 8301, 5752, 3842, 15408, 28835, 519, 3047, 269, 1635, 26399, 609, 2473, 300, 31420, 15571, 538, 476, 1220, 279, 543, 13604, 4742, 11184, 3780, 2473, 300, 15571, 538, 476, 1001, 272, 267, 519, 2754, 4396, 1881, 922, 2990, 607, 513, 8789, 6345, 538, 519, 2872, 269, 4653, 267, 11184, 3780, 2473, 300, 3091, 811, 982, 476, 9873, 12535, 630, 528, 9055, 264, 540, 2575, 267, 5026, 267, 3377, 267, 543, 9913, 547, 922, 32224, 780, 3080, 8037, 4183, 540, 11184, 3780, 2473, 300, 781, 5356, 568, 922, 3309, 5542, 540, 740, 6954, 2575, 9055, 269, 1452, 9055, 8597, 547, 513, 2647, 2039, 540, 7574, 16919, 267, 17364, 11964, 689, 8106, 543, 15690, 547, 4224, 543, 1402, 269, 1280, 1346, 945, 4782, 2911, 5925, 267, 11184, 3780, 2473, 300, 849, 14747, 1896, 2442, 2982, 267, 971, 607, 20999, 590, 1181, 781, 20999, 476, 1911, 543, 20999, 476, 6200, 269, 5047, 267, 2824, 11184, 3780, 2575, 9055, 616, 2139, 998, 667, 880, 8416, 9682, 8613, 3028, 267, 2417, 9750, 519, 3760, 781, 3914, 780, 3383, 875, 1281, 782, 540, 713, 960, 286, 2311, 922, 4295, 267, 11184, 3780, 2473, 300, 12346, 593, 1079, 3119, 2409, 540, 12419, 1543, 547, 922, 32224, 281, 9682, 6771, 543, 4950, 18297, 269, 3414, 922, 3060, 540, 15408, 267, 11184, 3780, 2473, 300, 20832, 6786, 5627, 922, 5752, 2047, 547, 2256, 1392, 8704, 538, 3755, 262, 5321, 610, 6472, 269, 17968, 267, 32224, 666, 6908, 11184, 3780, 2473, 300, 1543, 3842, 519, 5769, 1210, 15095, 3457, 971, 607, 16389, 267, 14342, 267, 610, 5904, 780, 291, 539, 5344, 18297, 3457, 1491, 713, 13418, 513, 1900, 2417, 676, 5356, 15774, 5610, 609, 4540, 1753, 14364, 1949, 269, 1452, 3457, 1419, 2097, 9280, 609, 2934, 2966, 547, 3986, 3593, 1995, 267, 971, 607, 3818, 3336, 10342, 267, 5639, 1852, 267, 543, 1489, 585, 1164, 22822, 8301, 12043, 269, 2368, 2442, 1806, 540, 971, 3457, 1331, 12312, 657, 267, 9324, 517, 16777, 5308, 267, 543, 26232, 21036, 8535, 290, 770, 780, 2026, 6800, 5051, 9784, 10260, 24408, 1154, 543, 1904, 585, 20221, 3288, 7047, 324, 9913, 3681, 267, 18297, 3457, 899, 891, 1831, 1898, 3334, 540, 2413, 1753, 9913, 1305, 5725, 269, 1358, 5512, 3755, 547, 1225, 622, 10531, 6947, 2833, 676, 11544, 543, 12805, 1543, 689, 1585, 2959, 267, 1519, 11184, 3780, 2473, 300, 31420, 15571, 267, 20128, 1518, 267, 17455, 7702, 267, 11197, 8535, 267, 543, 1866, 269, 5015, 267, 1082, 540, 891, 3457, 11753, 609, 2442, 5691, 20843, 899, 8835, 5981, 320, 610, 5616, 19608, 267, 1818, 621, 2653, 585, 3755, 547, 4383, 741, 9913, 7375, 1210, 2241, 5639, 12981, 780, 1103, 3932, 267, 18297, 3457, 2099, 513, 1713, 13120, 538, 1753, 9913, 2029, 267, 16779, 3755, 609, 13778, 8112, 543, 3903, 269, 14992, 899, 11184, 3780, 2473, 300, 31420, 15571, 3136, 547, 3048, 622, 543, 4228, 741, 17008, 267, 4180, 602, 972, 786, 2141, 581, 1007, 543, 3078, 1543, 585, 721, 547, 3605, 269, 1306, 713, 2361, 5170, 547, 11457, 267, 621, 568, 2629, 585, 1053, 540, 5600, 1299, 5851, 270, 11767, 24287, 7010, 547, 3251, 5483, 827, 6932, 3466, 543, 4066, 865, 789, 666, 1118, 13473, 3664, 950, 8888, 610, 18175, 15665, 741, 1378, 9913, 1949, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 347, 9802, 476, 1704, 267, 476, 1960, 271, 454, 347, 20464, 476, 1724, 267, 476, 1001, 272, 454, 23277, 1120, 539, 609, 2473, 300, 31420, 15571, 538, 476, 1220, 279, 267, 24673, 883, 11184, 3780, 2473, 300, 15571, 538, 476, 1001, 272, 454, 347, 6124, 3840, 4975, 267, 2136, 2276, 454, 10831, 540, 5520, 454, 16085, 597, 3780, 2473, 300, 15579, 902, 454, 306, 597, 3780, 31420, 15571, 729, 513, 9682, 5925, 630, 16256, 12678, 264, 543, 2228, 5925, 3028, 5665, 538, 3345, 3013, 267, 11262, 676, 11184, 3780, 2473, 300, 15579, 902, 563, 23175, 32483, 1229, 538, 1715, 3840, 4975, 267, 609, 4130, 801, 3930, 538, 11968, 13353, 543, 6490, 874, 529, 267, 11184, 3780, 729, 13166, 9250, 593, 5147, 476, 272, 267, 476, 1220, 273, 269, 898, 1631, 2488, 476, 7597, 12535, 630, 577, 2335, 1564, 264, 540, 2575, 543, 476, 4792, 12535, 540, 5026, 267, 3377, 267, 543, 9913, 547, 922, 32224, 269, 589, 15410, 540, 11184, 3780, 2575, 9055, 568, 3769, 607, 851, 540, 519, 667, 880, 8416, 9682, 8613, 3028, 269, 11184, 3780, 9055, 616, 4857, 676, 715, 1408, 11420, 23866, 609, 519, 6003, 834, 17876, 257, 630, 324, 3052, 269, 834, 17876, 6344, 2580, 834, 17876, 280, 2580, 834, 17876, 1704, 257, 1916, 21132, 1870, 2203, 568, 547, 1683, 2628, 16519, 28129, 5925, 267, 26922, 547, 519, 1870, 2203, 585, 14167, 10814, 8613, 269, 8535, 9055, 616, 4843, 1510, 10229, 267, 1247, 922, 2911, 9055, 267, 971, 607, 20999, 590, 1181, 781, 20999, 476, 1911, 543, 20999, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 1805, 3195, 532, 20905, 257, 607, 851, 540, 834, 9816, 27516, 1299, 670, 26041, 1315, 30007, 7010, 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, 1012, 4197, 5124, 18140, 1154, 609, 32287, 692, 1103, 713, 1770, 267, 649, 786, 2263, 519, 1158, 540, 1239, 14839, 1210, 5124, 269, 1284, 786, 1451, 875, 547, 1711, 4190, 543, 13181, 13602, 1210, 513, 2442, 5399, 1572, 32287, 269, 901, 5399, 568, 4922, 1031, 538, 519, 2361, 540, 1239, 2257, 267, 3684, 1565, 267, 543, 4702, 780, 2162, 12305, 532, 543, 7383, 532, 23905, 692, 6524, 649, 1376, 267, 649, 991, 547, 1118, 2386, 602, 649, 723, 519, 2556, 8021, 8704, 269, 1403, 596, 10093, 1405, 8704, 32287, 2943, 267, 596, 666, 798, 865, 1210, 10398, 1384, 3499, 7090, 454, 26921, 3888, 21267, 454, 7884, 5629, 596, 723, 32287, 8704, 267, 596, 666, 1104, 621, 883, 707, 5124, 7097, 1384, 3499, 7090, 454, 5814, 21267, 28272, 607, 12301, 454, 7884, 2162, 4197, 519, 17943, 540, 32287, 692, 12385, 15003, 568, 513, 28321, 5399, 585, 5124, 269, 898, 2636, 596, 547, 1711, 11979, 267, 19347, 267, 543, 7317, 32331, 538, 5124, 269, 898, 568, 3810, 2688, 14184, 267, 799, 1797, 596, 666, 1689, 3592, 1169, 2460, 540, 707, 4729, 780, 2162, 12861, 513, 7612, 543, 16547, 525, 692, 1103, 32287, 267, 513, 4137, 568, 513, 1283, 7400, 8708, 585, 782, 519, 4729, 2609, 269, 1323, 17887, 568, 513, 851, 540, 519, 4137, 1141, 519, 4890, 28321, 3217, 1747, 269, 1411, 666, 1589, 540, 621, 607, 513, 17198, 585, 707, 4729, 780, 1103, 519, 2016, 3009, 6256, 267, 513, 4137, 543, 17887, 616, 2813, 1210, 519, 1739, 3515, 540, 3009, 1384, 3499, 7090, 454, 1345, 8807, 2682, 815, 1582, 269, 4754, 11663, 8807, 2682, 454, 1345, 269, 31320, 815, 1582, 8807, 2682, 14491, 5334, 889, 7120, 263, 9340, 994, 7884, 2080, 267, 2387, 1345, 269, 4754, 11663, 8807, 2682, 319, 568, 1031, 547, 1205, 519, 4137, 689, 519, 17198, 269, 2387, 5417, 5334, 889, 7120, 263, 9340, 23375, 568, 1031, 547, 1711, 513, 2582, 17887, 602, 21269, 519, 3003, 4137, 780, 2162, 14301, 513, 25373, 692, 2791, 666, 1039, 513, 7470, 547, 707, 4729, 1210, 519, 2387, 28186, 13237, 1599, 269, 589, 7470, 666, 948, 596, 1224, 519, 2418, 689, 519, 4729, 811, 8308, 780, 3499, 7090, 454, 1345, 269, 31320, 26942, 263, 12148, 994, 7884, 2162, 5455, 323, 908, 519, 18140, 692, 763, 2387, 26303, 4415, 4692, 11663, 13237, 1599, 568, 1031, 547, 9337, 519, 4729, 609, 513, 1007, 17198, 269, 901, 1599, 3355, 3278, 519, 4137, 543, 17887, 609, 519, 1007, 17198, 543, 2699, 3863, 338, 519, 4729, 780, 3499, 7090, 454, 3698, 9337, 4415, 4692, 11663, 4311, 267, 17198, 2187, 825, 5727, 3355, 1125, 609, 519, 17198, 585, 519, 4137, 454, 825, 8173, 825, 1582, 269, 4754, 11663, 815, 17198, 454, 825, 1582, 8807, 2682, 815, 1582, 269, 4754, 11663, 8807, 2682, 454, 825, 1582, 269, 31320, 815, 1582, 8807, 2682, 14491, 5334, 889, 7120, 263, 9340, 994, 825, 1582, 269, 31320, 26942, 263, 12148, 994, 825, 1582, 269, 4754, 11663, 6155, 3863, 16182, 548, 4590, 7884, 2162, 18140, 1154, 4578, 692, 763, 2387, 5522, 582, 13237, 1599, 568, 1031, 547, 4729, 1239, 593, 519, 17887, 269, 901, 1599, 3217, 538, 1896, 6724, 1384, 268, 2387, 5891, 289, 16466, 29699, 901, 568, 606, 1843, 602, 3568, 519, 4137, 543, 17887, 563, 268, 2387, 343, 319, 543, 2387, 344, 29699, 1452, 616, 519, 1535, 543, 586, 10974, 540, 519, 1239, 2798, 563, 268, 2387, 343, 318, 19327, 319, 543, 2387, 344, 318, 19327, 29699, 1452, 616, 519, 1535, 543, 586, 10974, 540, 519, 1858, 547, 581, 4904, 563, 268, 2387, 27583, 12452, 2387, 343, 16932, 12452, 543, 2387, 29786, 29699, 1452, 616, 519, 2140, 540, 519, 4729, 543, 519, 10297, 585, 519, 1535, 543, 586, 17887, 780, 763, 1599, 1101, 5036, 519, 11768, 540, 519, 4729, 1210, 2387, 3553, 4671, 697, 9078, 599, 719, 13237, 269, 898, 1287, 1579, 1513, 519, 17887, 543, 17176, 547, 519, 1101, 17887, 269, 634, 7470, 568, 5828, 593, 267, 543, 519, 1858, 1063, 2387, 343, 318, 19327, 319, 543, 2387, 344, 318, 19327, 319, 568, 4904, 609, 513, 4544, 2681, 269, 634, 1239, 2798, 616, 28367, 1210, 513, 2699, 1899, 269, 634, 2140, 543, 10297, 616, 1305, 267, 543, 519, 4729, 568, 2699, 22148, 780, 3499, 7090, 454, 3698, 18140, 263, 5891, 289, 16466, 267, 1535, 267, 586, 267, 1535, 318, 19327, 267, 586, 318, 19327, 267, 2140, 267, 1535, 16932, 267, 586, 16932, 2187, 825, 4159, 289, 16466, 15630, 4671, 697, 9078, 599, 719, 4590, 825, 4159, 289, 16466, 269, 27234, 288, 343, 529, 4590, 825, 4159, 289, 16466, 269, 1873, 3558, 288, 343, 525, 22607, 728, 288, 343, 525, 273, 815, 6936, 994, 825, 4159, 289, 16466, 26942, 815, 6936, 454, 825, 4159, 289, 16466, 269, 31320, 272, 26942, 263, 12148, 994, 825, 4159, 289, 16466, 269, 31320, 272, 8807, 650, 10734, 15277, 3287, 318, 19327, 267, 586, 318, 19327, 267, 2681, 815, 1412, 19990, 3299, 13672, 815, 476, 271, 269, 274, 994, 825, 4159, 289, 16466, 269, 31320, 272, 19502, 3287, 267, 586, 267, 561, 342, 815, 476, 272, 267, 524, 815, 1412, 1042, 5073, 825, 4159, 289, 16466, 269, 31320, 272, 15630, 21234, 2891, 303, 6185, 12171, 269, 834, 1341, 2140, 994, 825, 4159, 289, 16466, 269, 31320, 272, 15630, 3287, 16932, 815, 1535, 16932, 267, 586, 16932, 815, 586, 16932, 994, 825, 4159, 289, 16466, 15630, 288, 343, 525, 3682, 1186, 21413, 288, 343, 525, 273, 263, 14085, 267, 7183, 267, 7183, 267, 7183, 267, 7183, 267, 7183, 267, 7183, 267, 8771, 267, 8771, 994, 825, 4159, 289, 16466, 269, 4754, 11663, 6155, 3863, 16182, 548, 4590, 7884, 2162, 10390, 692, 1103, 713, 1770, 267, 649, 4121, 827, 519, 9238, 540, 1239, 14839, 1210, 32287, 269, 1284, 4121, 875, 547, 1711, 513, 4137, 543, 17887, 267, 1039, 513, 7470, 267, 543, 4729, 1239, 269, 1284, 849, 4121, 875, 547, 9337, 519, 4729, 609, 513, 1007, 17198 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10574, 689, 281, 589, 2518, 10471, 585, 2804, 9271, 540, 3665, 3289, 25233, 2621, 1282, 476, 3422, 271, 268, 1001, 275, 454, 307, 7776, 267, 4425, 1696, 620, 269, 630, 1001, 280, 1070, 4578, 689, 281, 589, 2518, 10471, 585, 2804, 9271, 540, 3665, 3289, 25233, 2621, 1282, 476, 3422, 271, 268, 1001, 275, 267, 16959, 611, 267, 13096, 553, 564, 267, 4179, 2517, 8742, 3820, 270, 1015, 269, 2004, 277, 272, 7933, 787, 611, 269, 1240, 339, 10695, 339, 271, 454, 288, 3102, 10471, 540, 3665, 3289, 25233, 2621, 630, 292, 4047, 338, 264, 1107, 17160, 543, 26221, 267, 9967, 540, 476, 273, 267, 14378, 20825, 5001, 267, 1282, 476, 3422, 271, 13001, 1001, 275, 729, 16432, 267, 543, 1287, 741, 2804, 9271, 941, 28348, 1210, 513, 3902, 4994, 538, 772, 2529, 269, 13362, 269, 634, 10471, 4951, 513, 1713, 2810, 7678, 540, 661, 4047, 338, 1354, 476, 1220, 271, 267, 1247, 513, 13581, 2022, 13001, 1220, 271, 7771, 269, 4856, 22046, 5944, 267, 519, 661, 4047, 338, 13001, 8619, 4310, 2804, 9271, 2799, 15069, 1354, 476, 1220, 271, 4553, 676, 513, 13581, 6175, 282, 519, 2022, 13001, 1220, 271, 7771, 1223, 581, 13148, 11911, 547, 519, 11081, 538, 10980, 543, 6360, 13001, 1440, 821, 1858, 267, 610, 2916, 9542, 2853, 269, 1975, 520, 6053, 267, 5607, 4810, 1034, 661, 4047, 338, 630, 280, 7597, 1070, 7222, 547, 519, 4102, 2671, 540, 2804, 9271, 630, 32191, 1269, 279, 6924, 5479, 585, 17160, 543, 1269, 2004, 5479, 585, 26221, 267, 6606, 1070, 1247, 7909, 807, 1185, 519, 2547, 661, 4047, 338, 630, 9083, 264, 543, 519, 2547, 2804, 9271, 630, 32191, 1269, 866, 5479, 585, 17160, 543, 1269, 3393, 5479, 585, 26221, 1040, 634, 2947, 2477, 609, 519, 5207, 661, 4047, 13001, 8619, 4310, 2804, 9271, 941, 3624, 267, 7330, 267, 4516, 267, 5245, 267, 543, 3127, 269, 18831, 602, 11124, 519, 5207, 6360, 13001, 8619, 4310, 2804, 9271, 941, 3624, 267, 7330, 267, 543, 4516, 269, 901, 10471, 2488, 513, 11050, 3095, 720, 1063, 2916, 2257, 543, 2804, 9271, 693, 513, 2518, 4336, 282, 543, 621, 568, 6225, 585, 519, 6237, 20296, 1764, 10526, 543, 2054, 673, 1646, 585, 19086, 2916, 1689, 5222, 269, 0, 293, 880, 3282, 568, 513, 2707, 540, 15060, 476, 274, 1898, 9761, 7408, 269, 898, 24506, 27831, 1938, 543, 4667, 547, 2569, 2589, 540, 4965, 563, 2005, 949, 849, 13468, 930, 11213, 12982, 2175, 269, 12551, 3282, 9360, 616, 606, 5140, 1259, 547, 10536, 15060, 476, 274, 1898, 9761, 7408, 563, 763, 1739, 616, 2009, 1072, 2640, 1382, 814, 4362, 950, 3165, 610, 3165, 3282, 568, 3769, 538, 519, 2732, 563, 2467, 568, 606, 6654, 3095, 538, 519, 1072, 543, 1134, 5630, 540, 1004, 945, 21078, 538, 2477, 267, 1141, 7899, 540, 3165, 568, 13881, 563, 10144, 945, 723, 513, 6140, 7262, 2732, 19890, 267, 1810, 1406, 1205, 6190, 9424, 540, 15060, 476, 274, 9761, 7408, 998, 741, 2732, 563, 1607, 1223, 581, 835, 5817, 2014, 538, 519, 1082, 1072, 2042, 602, 3100, 547, 20575, 7262, 2528, 563, 763, 1560, 10416, 3085, 1406, 723, 519, 2702, 547, 1711, 15060, 476, 274, 9761, 7408, 593, 621, 779, 1378, 563, 11997, 267, 938, 1292, 2707, 540, 15060, 476, 274, 1898, 9761, 7408, 568, 689, 519, 1919, 649, 8532, 563, 2005, 779, 1434, 547, 917, 602, 267, 15060, 476, 274, 1898, 9761, 7408, 616, 2139, 538, 1082, 2010, 540, 3536, 563, 2791, 666, 8532, 3165, 3282, 9360, 547, 1205, 519, 15060, 476, 274, 1898, 9761, 7408, 596, 2154, 563, 10932, 689, 519, 2160, 540, 13325, 7000, 602, 1312, 9038, 543, 8951, 949, 7237, 7965, 609, 26983, 950, 789, 723, 1970, 9761, 7408, 2157, 563, 763, 1382, 4767, 602, 9038, 2110, 593, 15060, 476, 274, 666, 1995, 1970, 2157, 540, 606, 11747, 602, 5540, 12680, 563, 2691, 2367, 21592, 741, 15060, 476, 274, 1898, 9761, 7408, 2157, 676, 2921, 3165, 3282, 267, 519, 1353, 5462, 602, 621, 9247, 5280, 609, 13059, 1346, 11476, 1394, 547, 2834, 2157, 267, 21528, 547, 2087, 2138, 1006, 540, 519, 14203, 563, 763, 9838, 1382, 6700, 602, 2021, 1522, 849, 3068, 22485, 12680, 3928, 30289, 547, 606, 9000, 540, 15060, 476, 274, 1898, 9761, 7408, 1369, 519, 2732, 267, 10483, 676, 606, 2799, 1981, 540, 31761, 267, 950, 32460, 1185, 3144, 1747, 563, 4263, 519, 1439, 540, 519, 1382, 267, 3173, 8612, 602, 3165, 3282, 949, 581, 3730, 585, 29000, 547, 3666, 856, 11385, 908, 9449, 2157, 602, 1404, 513, 1909, 538, 26983, 2152, 563, 2005, 814, 1044, 5462, 602, 3165, 3282, 949, 849, 4324, 930, 8951, 538, 17212, 1324, 11213, 18492, 25574, 563, 1103, 25691, 568, 2219, 547, 581, 513, 9594, 585, 513, 3099, 540, 5312, 1072, 2042, 267, 1519, 27131, 12263, 267, 5186, 18255, 779, 2068, 267, 930, 2010, 540, 11871, 267, 9025, 2042, 267, 19357, 658, 10447, 543, 513, 3099, 540, 824, 2175, 563, 3682, 560, 698, 1633, 1231, 616, 519, 1560, 779, 2067, 1259, 540, 5883, 6553, 267, 4543, 547, 5329, 621, 896, 1852, 267, 543, 1382, 814, 3254, 602, 3165, 3282, 2337, 519, 1560, 5818, 922, 2504, 540, 891, 6464, 563, 763, 15060, 476, 274, 538, 3165, 3282, 814, 1808, 4550, 13611, 3601, 602, 948, 547, 8897, 6553, 538, 519, 10549, 538, 1004, 945, 7985, 689, 12263, 563, 1103, 3871, 1141, 1004, 946, 3165, 3282, 607, 851, 540, 513, 2834, 6296, 267, 519, 4220, 540, 3384, 6553, 5829, 3676, 543, 1072, 2042, 616, 13497, 8519, 563, 293, 880, 543, 16872, 723, 2141, 1044, 2808, 547, 723, 513, 5363, 1198, 593, 519, 2634, 563, 763, 8156, 540, 12216, 779, 2068, 538, 1082, 2665, 267, 949, 581, 5280, 609, 519, 15060, 476, 274, 1898, 9761, 7408, 1336, 538, 3165, 3282, 267, 2090, 17298, 693, 519, 17039, 3557, 2160, 543, 519, 2160, 540, 4993, 8761, 563, 763, 2090, 538, 519, 1482, 6073, 267, 7000, 602, 1346, 593, 513, 2732, 16041, 609, 3165, 267, 1519, 16872, 267, 941, 711, 607, 2693, 547, 723, 12110, 610, 12216, 779, 2068, 563, 2026, 971, 267, 15060, 476, 274, 1898, 9761, 7408, 666, 581, 1360, 5363, 538, 21528, 547, 2149, 13951, 689, 891, 1072, 2152, 689, 8345, 563, 763, 1883, 2601, 1946, 3165, 3282, 2501, 609, 7899, 540, 2640, 267, 568, 1813, 547, 519, 15060, 476, 274, 1898, 9761, 7408, 1459, 538, 621, 563, 15703, 540, 519, 15060, 476, 274, 616, 24488, 2000, 514, 18036, 545, 3679, 267, 16501, 630, 292, 545, 657, 777, 31980, 523, 18757, 3679, 1070, 667, 11190, 630, 291, 665, 6242, 28411, 320, 523, 18757, 3679, 1070, 543, 717, 10397, 2000, 514, 18036, 545, 3679, 267, 543, 1896, 1866, 799, 723, 1044, 3254, 547, 1683, 513, 2318, 1198, 593, 1072, 563, 5978, 4703, 616, 711, 2111, 547, 3132, 891, 5567, 267, 799, 6941, 1946, 649, 786, 991, 547, 18992, 547, 16565, 873, 689, 513, 2039, 540, 3536, 563, 22137, 5340, 693, 519, 6931, 639, 6754, 532, 4659, 1397, 602, 513, 1268, 949, 581, 6849, 606, 2799, 1981, 540, 3384, 2295, 2042, 952, 789, 1810, 1406, 1205, 2614, 15060, 476, 274, 9761, 7408, 563, 1103, 1249, 267, 3478, 519, 1318, 2179, 540, 15060, 476, 274, 666, 948, 547, 2569, 519, 4960, 540, 3384, 2295, 2068, 267, 1759, 593, 1382, 5342, 676, 519, 1977, 9839, 5948, 563, 763, 1382, 4422, 593, 547, 1397, 602, 3165, 3282, 568, 2111, 547, 2061, 519, 5739, 1628, 5346, 540, 27831, 1938, 267, 607, 1134, 607, 13302, 543, 7303, 19473, 29912, 563, 22137, 723, 849, 1336, 602, 1004, 945, 1185, 3144, 3165, 3282, 9360, 5781, 941, 1454, 1447, 2693, 547, 13151, 3518, 547, 513, 5732, 14603, 13487, 10654, 563, 22137, 5645, 856, 538, 16862, 540, 5176, 476, 280, 267, 1822, 2021, 602, 616, 9176, 4951, 602, 24584, 11299, 945, 1185, 3144, 3165, 3282, 998, 519, 6379, 941, 2484, 1447, 11630, 547, 979, 998, 2022, 5991, 7614, 4965, 563, 763, 1482, 1353, 849, 7000, 602, 2038, 4074, 729, 849, 14320, 1447, 2693, 547, 2049, 950, 513, 4807, 1185, 7850, 15060, 476, 274, 538, 1200, 1560, 563, 9827, 267, 3214, 4171, 11299, 1185, 1031, 3165, 3282, 267, 17820, 3152, 1688, 31378, 11558, 950, 3379, 609, 1346, 945, 22821, 1406, 4810, 519, 2640, 540, 15060, 476, 274, 563, 299, 1853, 3282, 9360, 267, 12077, 13798, 6797, 3282, 267, 2705, 267, 1058, 711, 581, 3144, 676, 9176, 11299, 563, 303, 675, 3165, 3282, 9360, 568, 1018, 596, 991, 547, 581, 1210, 563, 3528, 10158, 2986, 10390, 454, 6624, 1072, 9439, 543, 2732, 527, 2103, 18973, 602, 649, 8532, 3165, 585, 519, 1292, 6980, 693, 2547, 267, 1079, 2053, 12353, 563, 2005, 568, 5227, 602, 596, 1039, 824, 3536, 602, 2270, 15060, 476, 274, 1898, 9761, 7408, 547, 707, 2732, 267, 2436, 607, 16152, 610, 851, 540, 1022, 824, 6980, 563, 14300, 540, 891, 616, 267, 6328, 601, 22756, 267, 8478, 10808, 267, 737, 27626, 267, 4195, 5388, 543, 5613, 563, 4517, 2943, 267, 602, 3884, 1406, 606, 4781, 585, 1169, 1268, 563, 2005, 779, 2009, 602, 596, 949, 771, 3697, 519, 6492, 540, 3165, 267, 610, 4195, 16872, 568, 711, 11593, 2139, 693, 10097, 5777, 1141, 596, 616, 2713, 563, 288, 1434, 4244, 568, 547, 1491, 3165, 3282, 9360, 593, 513, 2834, 4493, 563, 6546, 1259, 267, 596, 666, 581, 2386, 602, 707, 1560, 568, 5665, 693, 8445, 2157, 267, 543, 596, 3136, 547, 1832, 5140, 1072, 676, 3246, 519, 1560, 519, 1898, 15060, 476, 274, 9761, 7408, 621, 3340, 563, 763, 3165, 3282, 9360, 596, 1205, 1058, 581, 540, 1434, 2298, 563, 2005, 779, 1898, 547, 2327, 602, 6986, 3165, 3282, 609, 1100, 14107, 568, 1373, 1031, 538, 519, 2504, 540, 519, 3165, 3282, 9360, 596, 616, 2921, 267, 602, 779, 9247, 519, 1259, 547, 3478, 1390, 2164, 269, 0, 268, 1323, 3919, 10953, 513, 5276, 9695, 2203, 547, 9472, 6455, 269, 12989, 616, 519, 2164, 540, 519, 9695, 2079, 1210, 476, 1321, 5712, 538, 519, 2203, 563, 320, 269, 1772, 519, 2203, 1713, 286, 1548, 1239, 9727, 519, 4644, 540, 519, 2203, 888, 321, 269, 1548, 1281, 519, 681, 12384, 24901, 888, 322, 269, 1548, 568, 519, 9472, 585, 1974, 476, 1724, 286, 0, 2791, 616, 2953, 8206, 6184, 4327, 7601, 5911, 568, 1031, 547, 1711, 606, 30402, 24599, 269, 898, 786, 9090, 960, 2336, 1432, 786, 4755, 952, 596, 946, 606, 1202, 4327, 7601, 5911, 585, 1818, 606, 30402, 24599, 888, 1432, 786, 4755, 952, 596, 946, 606, 796, 1231, 4327, 7601, 5911, 585, 1818, 606, 30402, 24599, 286, 634, 7601, 5911, 1472, 606, 30402, 24599, 568, 1202, 4327, 547, 2057, 1699, 2095, 1063, 519, 12904, 269, 1403, 519, 5911, 568, 796, 1231, 4327, 519, 1699, 786, 1491, 513, 2110, 2759, 543, 786, 711, 2095, 2789, 2053, 1472, 519, 4295, 563, 4692, 596, 946, 1022, 5911, 547, 1118, 606, 30402, 24599, 888, 2791, 666, 946, 11953, 476, 736, 288, 310, 294, 5911, 547, 1118, 606, 30402, 24599, 267, 855, 4440, 711, 519, 1655, 2856, 607, 596, 723, 547, 7048, 593, 12547, 6106, 602, 1202, 3634, 610, 5911, 19437, 547, 1832, 1699, 689, 4881, 2786, 689, 835, 16509, 547, 519, 1985, 610, 998, 519, 17970, 563, 1432, 1826, 540, 5911, 568, 1655, 585, 606, 30402, 24599, 888, 306, 13521, 7601, 5911, 568, 1732, 1317, 621, 666, 2356, 4163, 811, 1699, 269, 898, 568, 1655, 547, 723, 513, 1804, 2179, 540, 7601, 547, 1832, 519, 4187, 1524, 269, 898, 568, 849, 1434, 547, 723, 513, 2603, 540, 7140, 547, 1118, 1732, 946, 540, 519, 2139, 1699, 269, 21019, 814, 519, 9803, 4187, 693, 4055, 2837, 267, 865, 922, 513, 1390, 3903, 563, 3963, 568, 1202, 4327, 5911, 1031, 538, 30402, 1725, 1115, 888, 10303, 1510, 13471, 519, 5201, 786, 1491, 519, 20125, 267, 9803, 9113, 2700, 1576, 267, 799, 786, 581, 2663, 958, 2066, 2842, 902, 269, 898, 786, 711, 2095, 2789, 2053, 1472, 519, 4295, 267, 799, 568, 1018, 7472, 519, 6419, 13441, 602, 568, 519, 2898, 1448, 540, 606, 30402, 24599, 563, 3963, 568, 1202, 4327, 5911, 1031, 888, 290, 762, 543, 5911, 13471, 11151, 519, 1202, 4327, 5911, 779, 1699, 689, 4947, 883, 3346, 609, 824, 26423, 269, 898, 28933, 519, 5911, 1570, 1996, 2825, 6937, 543, 759, 1235, 5122, 24694, 563, 1692, 666, 596, 2333, 519, 17444, 4222, 540, 606, 30402, 24599, 888, 2791, 666, 1118, 606, 30402, 24599, 6793, 676, 3257, 891, 1919, 912, 268, 28277, 519, 16509, 1472, 513, 4062, 540, 4401, 630, 7945, 607, 606, 4401, 17970, 994, 268, 4946, 811, 7140 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 543, 741, 22037, 1162, 267, 9435, 1763, 1421, 476, 6795, 267, 476, 6812, 274, 271, 268, 6812, 274, 276, 563, 1911, 11053, 531, 802, 267, 918, 269, 700, 1421, 5695, 2917, 267, 670, 1421, 717, 2660, 267, 918, 269, 595, 1421, 7665, 6202, 267, 623, 269, 670, 1421, 623, 7676, 267, 595, 269, 654, 1421, 1696, 620, 269, 630, 1220, 271, 264, 634, 4082, 543, 3892, 540, 519, 3834, 2135, 807, 2987, 3027, 1043, 2188, 670, 9281, 268, 272, 10382, 543, 670, 9281, 268, 273, 10382, 538, 3339, 1480, 8031, 267, 11871, 267, 543, 10510, 23938, 31457, 267, 2549, 269, 808, 269, 11202, 565, 1421, 476, 14991, 267, 476, 30329, 268, 275, 2641, 563, 6200, 12171, 4594, 1889, 267, 594, 1421, 918, 686, 1122, 267, 631, 1421, 543, 17934, 267, 918, 269, 670, 269, 630, 1960, 279, 264, 5455, 30625, 540, 15466, 32361, 2208, 3815, 538, 588, 668, 531, 2281, 540, 8280, 30231, 984, 18431, 5557, 568, 17047, 609, 909, 30625, 540, 519, 16606, 3815, 15679, 293, 26260, 9281, 268, 273, 10401, 267, 2549, 269, 808, 269, 11202, 565, 1421, 476, 14631, 267, 476, 1839, 268, 3066, 267, 8222, 281, 476, 1015, 269, 6200, 277, 4882, 1822, 273, 268, 280, 4510, 271, 263, 1015, 264, 277, 4649, 6078, 268, 272, 563, 9083, 14389, 686, 1122, 267, 631, 1421, 12794, 553, 267, 681, 1421, 4858, 1276, 267, 670, 1421, 589, 14982, 267, 570, 1421, 4469, 600, 1889, 267, 594, 1421, 543, 17934, 267, 918, 269, 670, 269, 630, 1220, 271, 264, 5455, 30625, 540, 3834, 2135, 807, 2987, 3027, 1043, 2188, 670, 9281, 268, 272, 10382, 543, 670, 9281, 268, 273, 10382, 896, 2343, 16464, 2175, 538, 17669, 26217, 2281, 676, 13153, 26194, 601, 6441, 785, 879, 10510, 16401, 528, 5444, 2530, 540, 1599, 267, 2201, 322, 10942, 267, 476, 866, 267, 476, 276, 6246, 276, 268, 276, 4510, 274, 267, 8222, 281, 476, 1015, 269, 9818, 279, 4882, 329, 269, 517, 322, 269, 6344, 4375, 274, 279, 563, 9818, 14371, 9332, 668, 12935, 13403, 267, 589, 1421, 918, 537, 330, 2227, 330, 529, 267, 631, 269, 594, 1421, 543, 590, 643, 5090, 529, 267, 661, 269, 630, 1220, 272, 264, 4039, 566, 540, 3834, 2135, 807, 1802, 24862, 3815, 476, 272, 13672, 543, 476, 273, 13672, 538, 1766, 762, 1875, 23337, 718, 1591, 5761, 2860, 547, 2587, 328, 8328, 8276, 12817, 9043, 540, 6084, 2293, 543, 6668, 267, 5696, 269, 808, 269, 9435, 267, 476, 5952, 267, 476, 6434, 272, 268, 279, 3445, 267, 8222, 281, 476, 1015, 269, 10755, 275, 11486, 329, 665, 269, 1220, 272, 269, 1001, 279, 563, 10441, 15030, 784, 267, 595, 269, 595, 1421, 18681, 267, 670, 1421, 16500, 7719, 267, 667, 269, 631, 1421, 16441, 267, 808, 1421, 1284, 328, 267, 670, 1421, 1696, 620, 269, 630, 1001, 273, 264, 769, 3031, 6002, 540, 3834, 2135, 807, 2987, 3027, 1043, 3815, 476, 272, 3625, 6089, 2860, 22037, 1738, 13395, 5250, 543, 5761, 22037, 12118, 267, 808, 269, 20703, 269, 2405, 269, 630, 29155, 331, 1070, 476, 3445, 267, 476, 3199, 274, 268, 279, 1428, 563, 10755, 5861, 1156, 267, 654, 1421, 1261, 267, 667, 1421, 9149, 267, 2098, 1421, 18681, 267, 2473, 1421, 7754, 267, 667, 1421, 543, 16441, 267, 717, 269, 630, 1001, 276, 264, 744, 3164, 343, 16054, 540, 15466, 32361, 2208, 3815, 6920, 4057, 4093, 540, 1350, 328, 5448, 281, 513, 9836, 2689, 543, 13849, 20400, 267, 2271, 269, 808, 269, 7885, 269, 5890, 269, 2405, 1421, 476, 1428, 267, 476, 279, 3583, 280, 268, 9262, 272, 280, 563, 11793, 14389, 4768, 267, 645, 1421, 10609, 342, 24652, 267, 674, 269, 654, 1421, 1530, 951, 517, 267, 661, 269, 589, 1421, 4223, 1156, 344, 267, 590, 269, 700, 1421, 5696, 520, 267, 667, 269, 808, 1421, 543, 11709, 2725, 597, 267, 661, 269, 717, 269, 630, 1220, 276, 264, 14523, 2135, 807, 543, 519, 3834, 2135, 807, 2987, 3027, 1043, 29969, 13374, 538, 1350, 328, 5448, 2208, 543, 2587, 328, 14003, 267, 11671, 2201, 3712, 1421, 476, 278, 267, 476, 16328, 268, 14631, 267, 8222, 281, 476, 1015, 269, 13199, 276, 13478, 12893, 26326, 10204, 6110, 9340, 276, 563, 13040, 2529, 1156, 267, 595, 1421, 7137, 537, 16223, 574, 267, 681, 1421, 5576, 636, 12329, 267, 590, 269, 661, 1421, 31481, 267, 808, 1421, 26284, 267, 631, 1421, 543, 6178, 648, 26152, 267, 590, 269, 630, 1001, 272, 264, 18726, 543, 6198, 2090, 708, 12393, 670, 9281, 272, 10401, 607, 513, 476, 1691, 336, 8459, 2860, 16401, 528, 5444, 267, 9435, 5494, 990, 1421, 476, 272, 267, 476, 19442, 268, 20720, 563, 10482, 11065, 597, 1676, 267, 623, 1421, 5576, 785, 331, 267, 631, 1421, 744, 828, 332, 1515, 267, 589, 1421, 6601, 527, 2940, 14982, 267, 717, 1421, 543, 744, 828, 16852, 828, 267, 717, 269, 630, 1220, 272, 264, 20309, 540, 3834, 2135, 807, 2987, 3027, 1043, 3815, 476, 272, 10382, 538, 25853, 25073, 12970, 281, 922, 1764, 593, 23567, 543, 593, 3210, 547, 18068, 267, 7885, 269, 9435, 1763, 1421, 476, 278, 267, 476, 14917, 272, 268, 14917, 279, 563, 11820, 14389, 537, 330, 2227, 330, 529, 267, 631, 269, 594, 1421, 717, 9332, 668, 12935, 13403, 267, 589, 1421, 4787, 22611, 520, 657, 267, 808, 1421, 23634, 328, 267, 700, 1421, 645, 1633, 600, 3120, 267, 590, 1421, 1696, 620, 269, 630, 1220, 272, 264, 14523, 2135, 807, 1802, 24862, 3815, 630, 295, 9281, 268, 272, 10382, 543, 670, 9281, 268, 273, 10382, 264, 4082, 538, 2038, 1965, 23569, 2860, 543, 3210, 547, 2584, 17871, 3797, 543, 2234, 23956, 267, 9435, 1763, 1421, 476, 8618, 267, 476, 8146, 271, 268, 8146, 273, 563, 8099, 8160, 1794, 636, 323, 541, 267, 808, 1421, 670, 545, 4486, 267, 631, 269, 631, 1421, 23202, 267, 667, 269, 918, 1421, 20736, 5069, 267, 589, 269, 595, 1421, 21690, 4211, 867, 3266, 267, 589, 1421, 1696, 620, 269, 630, 1001, 271, 264, 670, 9281, 268, 273, 10401, 32280, 8992, 918, 6652, 12454, 5761, 10510, 1646, 267, 28540, 269, 14844, 331, 269, 6298, 269, 2233, 269, 7330, 267, 476, 13040, 267, 476, 15221, 11025, 268, 15221, 9262, 563, 9340, 11053, 337, 10719, 267, 667, 1421, 543, 20961, 267, 962, 269, 631, 269, 630, 1001, 277, 264, 14523, 2135, 807, 2987, 3027, 1043, 2188, 281, 513, 3844, 3095, 1063, 6553, 543, 2860, 267, 808, 269, 7885, 269, 7767, 1421, 476, 14695, 267, 476, 3607, 279, 280, 268, 3607, 280, 279, 267, 8222, 281, 476, 1015, 269, 14056, 273, 32434, 5746, 279, 4510, 1789, 563, 12208, 15030, 523, 342, 340, 267, 700, 1421, 2473, 826, 329, 684, 267, 590, 1421, 670, 1263, 344, 328, 267, 570, 1421, 543, 20855, 267, 700, 269, 630, 1001, 274, 264, 15214, 8663, 545, 5135, 543, 2860, 281, 811, 1950, 982, 649, 4397, 267, 27010, 269, 2201, 3712, 1421, 476, 279, 267, 476, 8064, 268, 10037, 563, 13647, 8160, 718, 800, 267, 631, 1421, 717, 690, 514, 523, 328, 267, 661, 1421, 543, 13643, 267, 717, 269, 595, 269, 630, 1001, 276, 264, 634, 8427, 5409, 750, 8926, 281, 519, 2025, 267, 519, 1007, 267, 543, 519, 14232, 267, 7600, 269, 4860, 269, 2201, 3712, 269, 12920, 520, 565, 1421, 476, 9032, 267, 476, 6321, 268, 5038, 267, 8222, 281, 476, 1015, 269, 6200, 277, 10768, 6983, 761, 516, 341, 517, 322, 269, 1001, 276, 269, 5400, 269, 19740, 563, 14625, 12171, 718, 1695, 267, 808, 1421, 543, 681, 7236, 267, 645, 269, 594, 269, 630, 1001, 280, 264, 670, 9281, 20127, 281, 4567, 540, 1699, 4791, 1646, 267, 4354, 337, 269, 2201, 3712, 269, 3115, 1421, 476, 2641, 267, 476, 277, 267, 8222, 281, 476, 1015, 269, 1911, 278, 4882, 15686, 1321, 268, 25171, 268, 271, 4037, 273, 22271, 563, 12893, 14371, 2240, 31000, 267, 700, 269, 631, 1421, 9710, 752, 267, 594, 269, 667, 1421, 8606, 335, 3121, 267, 667, 1421, 590, 777, 571, 267, 623, 1421, 654, 6856, 8615, 731, 267, 631, 1421, 1696, 620, 269, 630, 1220, 279, 264, 589, 10717, 21087, 626, 540, 3834, 2135, 807, 2987, 3027, 1043, 3815, 268, 272, 13672, 267, 661, 313, 301, 268, 30640, 279, 267, 29620, 10510, 1591, 2208, 267, 20703, 269, 9435, 14562, 1421, 476, 278, 267, 476, 3374, 280, 279, 268, 11740, 279, 563, 14138, 11482, 2465, 267, 918, 1421, 543, 13690, 267, 670, 269, 631, 269, 630, 1001, 272, 264, 589, 3209, 1935, 547, 2860, 3797, 1210, 623, 311, 268, 275, 4281, 607, 513, 670, 9281, 268, 272, 10382, 28166, 267, 5246, 269, 14997, 269, 1763, 1421, 476, 4097, 267, 476, 15647, 274, 268, 15647, 276, 563, 14056, 11053, 518, 30349, 10008, 267, 661, 1421, 28523, 334, 267, 631, 1421, 14943, 529, 731, 320, 267, 589, 1421, 772, 13361, 830, 326, 267, 645, 1421, 6970, 334, 267, 700, 1421, 1696, 620, 269, 630, 1001, 271, 264, 589, 2381, 1993, 15442, 821, 267, 513, 14270, 663, 540, 519, 513, 787, 331, 8652, 21666, 13805, 267, 29620, 670, 9281, 268, 272, 10401, 4082, 538, 606, 13259, 305, 23949, 8817, 6752, 267, 9435, 1763, 1421, 476, 3583, 267, 476, 6924, 274, 278, 268, 6924, 275, 279, 563, 14093, 5861, 27117, 7578, 267, 715, 1421, 4406, 5913, 14024, 267, 681, 1421, 623, 9426, 324, 267, 631, 1421, 623, 517, 345, 18223, 267, 631, 1421, 543, 24527, 328, 267, 681, 269, 630, 1001, 276, 264, 14271, 1120, 2065, 26679, 16701, 1709, 676, 5916, 2126, 609, 1427, 3626, 545, 3679, 543, 670, 9281, 22629, 676, 661, 313, 301, 268, 13136, 279, 630, 303, 9680, 4149, 301, 4343, 264, 538, 840, 30570, 3631, 540, 6751, 299, 7304, 2752, 10382, 543, 12813, 313, 293, 7304, 2752, 10382, 12454, 26679, 267, 7885, 269, 9435, 1763, 1421, 476, 2641, 267, 476, 3607, 279, 276, 268, 3607, 280, 275, 563, 15686, 10611, 777, 529, 731, 320, 267, 589, 1421, 2098, 1446, 330, 267, 808, 1421, 670, 3326, 902, 3650, 267, 631, 1421, 4858, 12584, 577, 933, 580, 267, 570, 1421, 772, 13361, 830, 326, 267, 645, 1421, 1696, 620, 269, 630, 1220, 275, 264, 21480, 17466, 22629, 540, 3834, 2135, 807, 2987, 3027, 1043, 3815, 268, 272, 10401, 3940, 13250, 267, 2587, 328, 14003, 267, 543, 10510, 2208, 676, 1283, 1774, 4754, 538, 772, 25172, 6953, 3918, 1350, 328, 984, 18431, 5448, 30542, 690, 2761, 338, 267, 9435, 1763, 1421, 476, 5038, 267, 476, 6924, 275, 276, 268, 6924, 275, 279, 563, 6344, 269, 313, 28702, 267, 670, 1421, 1627, 1014, 267, 667, 269, 2098, 1421, 18000, 267, 962, 269, 590, 1421, 10557, 267, 918, 1421, 717, 7776, 267, 623, 1421, 1696, 620, 269, 630, 1220, 279, 264, 6226, 28845, 543, 824, 13487, 9848, 6523, 1938, 21391, 670, 9281, 268, 272, 10401, 10282, 543, 3625, 10510, 2208, 267, 28540, 269, 14844, 331, 269, 6298, 269, 2233, 269, 7330, 267, 476, 10755, 267, 476, 4198, 8064, 268, 4198, 10436, 563, 13199, 12991, 532, 267, 2473, 1421, 15651, 267, 962, 1421, 25463, 267, 654, 1421, 9149, 267, 717, 1421, 543, 590, 836, 267, 715, 269, 630, 1001, 279, 264, 932, 527, 514, 10282, 20127, 3895, 6797, 2860, 1591, 22037, 12118, 3842, 7679, 1359, 609, 3834, 2135, 807, 2987, 3027, 1043, 3815, 476, 272, 10382, 267, 6314, 14459, 267, 476, 18684, 267, 476, 23211, 268, 26801, 267, 8222, 281, 476, 1015, 269, 6200, 277, 10768, 6983, 1335, 14459, 269, 1001, 279, 269, 4962, 269, 26522, 563, 14338, 8160, 629, 329, 4315, 327, 267, 715, 269, 808, 1421, 18521, 340, 514, 267, 667, 1421, 5487, 309, 4150, 324, 267, 570, 269, 631, 1421, 623, 1026, 331, 19085, 267, 966, 269, 590, 1421, 4210, 691, 345, 267, 717, 269, 631, 1421, 1696, 620, 269, 630, 1220, 274, 264, 476, 273, 10933, 273, 29620, 10510, 2208, 543, 2587, 328, 14003, 676, 27200, 2890, 30344, 2737, 543, 7988, 2958, 6819, 670, 9281, 267, 9435, 8426, 267, 476, 274, 267, 476, 3607, 274, 268, 23841, 563, 11277, 269, 2704, 336, 25596, 267, 744, 1421, 631, 26710, 5417, 553, 267, 631, 1421, 543, 19453, 267, 717, 269, 630, 1220, 277, 264, 12186, 540, 15074, 323, 534, 18081, 11142, 593, 670, 9281, 268, 272, 10401, 25358, 2587, 328, 14003, 543, 12289, 538, 17150, 2860, 2281, 267, 1160, 8063, 9435, 1160, 18878, 2598, 1421, 476, 280, 267, 476, 14695, 268, 13670, 267, 8222, 281, 476, 1015, 269, 9818, 279, 4882, 329, 4877, 4754, 269, 14596, 5400, 276, 273, 563, 14862, 269, 311, 21628, 267, 700, 1421 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 476, 1556, 282, 891, 2010, 666, 581, 4122, 4857, 1354, 610, 693, 519, 1482, 942, 606, 4094, 1388, 530, 11301, 616, 9571, 630, 278, 6858, 1040, 634, 23988, 7840, 723, 1044, 2919, 676, 513, 23499, 2319, 540, 3782, 4648, 267, 17971, 269, 20722, 582, 727, 281, 1315, 611, 6440, 324, 6440, 7224, 6440, 339, 727, 270, 630, 740, 21485, 384, 499, 5991, 334, 2389, 16230, 332, 16357, 3738, 606, 6293, 585, 2300, 1707, 540, 20722, 6950, 6481, 4214, 540, 20722, 582, 727, 281, 606, 6293, 585, 519, 10551, 2300, 1707, 540, 519, 20722, 6950, 269, 9947, 476, 2537, 267, 476, 1001, 278, 5788, 1975, 1400, 23296, 2670, 568, 513, 2783, 267, 6140, 538, 4079, 476, 2004, 543, 4587, 267, 538, 799, 707, 11983, 12324, 6238, 547, 7522, 269, 25351, 531, 7139, 8985, 4386, 1034, 1419, 538, 1453, 896, 2085, 476, 277, 563, 2171, 3398, 966, 26721, 267, 9457, 25205, 267, 2549, 1410, 269, 1772, 898, 15822, 1677, 16179, 9210, 643, 597, 630, 4594, 643, 644, 710, 264, 6732, 563, 25889, 1765, 28024, 13762, 1250, 984, 18431, 630, 15551, 264, 24328, 630, 307, 343, 264, 538, 513, 2022, 2173, 344, 18201, 658, 1102, 541, 794, 630, 11085, 264, 10077, 4603, 958, 10607, 2451, 5887, 14152, 630, 299, 309, 264, 552, 20287, 6824, 630, 9128, 1040, 476, 3445, 260, 540, 519, 942, 267, 10529, 540, 2296, 946, 1175, 476, 278, 267, 4335, 1913, 568, 621, 2922, 547, 4444, 3134, 643, 597, 630, 4594, 643, 644, 710, 264, 2228, 538, 4633, 543, 1603, 269, 744, 14003, 568, 519, 1184, 540, 8108, 519, 4775, 13708, 23176, 267, 1775, 4318, 1421, 519, 9065, 636, 610, 4212, 269, 4972, 540, 2657, 543, 5274, 7896, 630, 295, 9391, 1040, 6258, 827, 519, 3123, 540, 14159, 1928, 543, 1018, 891, 24074, 949, 1611, 12580, 540, 7181, 31199, 610, 14159, 1928, 666, 723, 1082, 3123, 269, 476, 272, 2262, 1644, 547, 16562, 25936, 281, 7988, 25936, 269, 9093, 779, 17148, 269, 32425, 17810, 269, 1703, 616, 1079, 2010, 540, 2274, 8123, 332, 5362, 267, 8650, 543, 5312, 269, 3220, 269, 15850, 568, 3812, 676, 519, 18829, 540, 13803, 267, 14836, 267, 543, 588, 2117, 1127, 269, 1452, 9190, 19899, 1254, 1922, 18017, 2281, 616, 3812, 538, 519, 5642, 20768, 543, 8451, 689, 741, 24888, 1591, 267, 519, 24869, 984, 18431, 12920, 26331, 11073, 6050, 910, 12920, 26331, 568, 519, 1353, 540, 1973, 267, 1973, 268, 14127, 630, 3012, 641, 16211, 2045, 264, 8219, 267, 543, 683, 31129, 270, 12061, 16250, 31129, 1973, 4713, 269, 568, 10199, 476, 277, 3275, 2025, 269, 5487, 726, 1575, 691, 5918, 1661, 1186, 267, 1714, 548, 1609, 21959, 773, 632, 19274, 663, 525, 267, 546, 262, 334, 793, 976, 267, 546, 262, 615, 15816, 12906, 520, 2294, 1696, 632, 5613, 3813, 338, 20056, 550, 2661, 2070, 540, 519, 7345, 540, 6022, 2742, 630, 289, 611, 807, 632, 6022, 2742, 1070, 593, 519, 11335, 7256, 267, 593, 519, 28677, 11824, 18992, 540, 2052, 12815, 8759, 593, 519, 5053, 6532, 540, 26864, 528, 8619, 12815, 8759, 1965, 19448, 6512, 320, 6480, 611, 1735, 573, 1619, 632, 967, 773, 4224, 1106, 3385, 679, 476, 1960, 277, 679, 3288, 595, 328, 644, 611, 632, 631, 2946, 343, 4815, 267, 3288, 524, 783, 12760, 320, 1714, 4224, 598, 524, 328, 1068, 657, 678, 527, 21573, 1642, 5309, 330, 586, 1714, 1402, 2529, 639, 4623, 857, 553, 7574, 525, 8709, 964, 1372, 4032, 12866, 522, 634, 590, 9582, 26558, 320, 634, 8055, 338, 267, 2349, 584, 522, 590, 4577, 15272, 267, 5609, 10153, 341, 573, 541, 17333, 4592, 1454, 657, 27615, 1842, 632, 967, 773, 12766, 17505, 4815, 2052, 12815, 8759, 21094, 281, 25676, 3849, 6665, 528, 814, 476, 2420, 267, 278, 866, 8039, 540, 2052, 12815, 8759, 12182, 1564, 267, 5900, 10330, 267, 543, 31777, 1218, 1818, 621, 707, 1655, 2052, 12815, 8759, 4199, 3057, 476, 866, 267, 476, 1001, 280, 5788, 12815, 8759, 568, 519, 11600, 585, 707, 10772, 547, 21649, 593, 519, 5767, 543, 6574, 540, 9412, 679, 10507, 3966, 565, 676, 5842, 12770, 967, 773, 10897, 339, 17427, 19475, 269, 12536, 267, 10408, 19344, 267, 3092, 7868, 3032, 20326, 1184, 13847, 1648, 602, 1568, 269, 1411, 2461, 1984, 760, 1042, 585, 9042, 711, 4805, 269, 6184, 6081, 568, 22280, 1016, 12827, 24345, 267, 799, 1797, 883, 519, 3170, 4494, 896, 519, 2960, 269, 30658, 665, 677, 630, 339, 26713, 11142, 565, 821, 264, 2228, 1931, 454, 3674, 898, 15822, 1677, 16179, 9210, 643, 597, 630, 4594, 643, 644, 710, 264, 6732, 454, 288, 897, 739, 3912, 568, 513, 1797, 547, 1521, 1585, 4713, 540, 519, 1804, 16892, 267, 1519, 2860, 267, 25518, 267, 12982, 15108, 2068, 267, 8297, 696, 3293, 31818, 545, 4918, 267, 29769, 807, 630, 4818, 668, 2213, 1973, 26612, 898, 568, 606, 17170, 6268, 6293, 1031, 585, 14317, 540, 1688, 8194, 543, 14524, 4924, 476, 1556, 267, 476, 1001, 280, 5788, 901, 568, 513, 3926, 602, 4255, 707, 17945, 4222, 543, 20743, 519, 8445, 2542, 538, 2901, 6550, 540, 13532, 269, 2368, 2010, 540, 16507, 5563, 666, 581, 7646, 267, 971, 607, 513, 16420, 593, 519, 2960, 267, 2705, 1303, 665, 677, 4444, 721, 320, 789, 666, 581, 4049, 267, 971, 607, 16507, 16415, 7325, 476, 5881, 267, 476, 1001, 278, 5788, 634, 21422, 568, 1419, 8338, 609, 16507, 5563, 982, 609, 824, 2010, 540, 1274, 3968, 269, 14904, 609, 796, 10561, 13046, 1058, 4309, 513, 6217, 1449, 607, 4166, 607, 26612, 27511, 281, 18897, 25714, 267, 2234, 10306, 14527, 267, 5247, 25714, 1928, 267, 15847, 543, 5247, 25714, 543, 2234, 10306, 14527, 267, 5247, 25714, 543, 2234, 10306, 14527, 543, 2168, 543, 3797, 267, 5247, 25714, 543, 2234, 10306, 14527, 5422, 281, 6583, 4364, 267, 623, 3633, 549, 267, 3213, 577, 8735, 269, 6423, 811, 7857, 4214, 281, 634, 4214, 540, 513, 7857, 568, 513, 1297, 689, 476, 271, 547, 476, 280, 267, 610, 513, 568, 621, 2922, 547, 4444, 3134, 643, 597, 630, 4594, 643, 644, 710, 264, 2228, 9416, 610, 23179, 269, 8734, 476, 4905, 267, 476, 1220, 280, 5788, 6206, 9293, 5903, 532, 267, 634, 7454, 17451, 14635, 10732, 267, 5437, 476, 272, 267, 476, 1220, 280, 269, 1809, 609, 519, 1697, 11178, 6646, 267, 607, 1134, 607, 1978, 2732, 543, 6197, 2242, 267, 596, 666, 8774, 1346, 13311, 6550, 5221, 30847, 666, 14020, 707, 2295, 543, 9641, 267, 596, 1522, 849, 5469, 281, 589, 3500, 2295, 2557, 282, 10374, 1145, 540, 7362, 1282, 3635, 282, 31808, 1145, 282, 4400, 1973, 2604, 282, 4400, 8501, 2157, 269, 8614, 329, 26915, 693, 637, 807, 1107, 4731, 4146, 540, 519, 14247, 329, 684, 636, 267, 519, 2034, 851, 540, 519, 16892, 14178, 689, 594, 548, 531, 693, 637, 807, 1107, 269, 12791, 540, 986, 577, 4345, 269, 16202, 4130, 267, 811, 7928, 6980, 269, 589, 27330, 12176, 814, 19430, 513, 1533, 540, 6595, 538, 519, 1533, 540, 6115, 267, 606, 1858, 602, 568, 2808, 513, 3905, 5544, 585, 519, 4550, 8686, 3147, 1588, 3350, 269, 13722, 1394, 1928, 267, 693, 2053, 267, 568, 513, 28115, 894, 1167, 2068, 22420, 538, 2470, 269, 901, 568, 513, 2014, 540, 4049, 2539, 14159, 1928, 269, 589, 1455, 588, 1645, 1062, 568, 519, 16658, 302, 630, 17220, 18966, 540, 717, 2106, 320, 1815, 1108, 543, 26861, 564, 7879, 264, 1062, 267, 799, 5638, 519, 6708, 676, 2436, 621, 3788, 538, 519, 9065, 776, 267, 814, 3262, 547, 824, 23856, 3889, 610, 814, 3262, 883, 519, 16298, 540, 519, 17737, 609, 610, 1510, 5714, 630, 2444, 2572, 264, 769, 476, 1001, 271, 267, 476, 9873, 276, 1007, 2665, 540, 25073, 2860, 941, 8995, 538, 8241, 2021, 269, 630, 611, 11187, 264, 1323, 1383, 540, 28250, 14054, 568, 513, 1268, 4171, 1024, 8558, 616, 4775, 543, 945, 24323, 12211, 547, 519, 563, 14112, 3856, 3965, 8637, 1344, 585, 513, 1906, 7643, 610, 3764, 269, 2290, 1271, 1448, 568, 602, 1310, 26669, 549, 701, 15383, 519, 3461, 568, 17479, 865, 602, 519, 9221, 568, 2539, 982, 519, 25637, 282, 713, 2990, 17212, 1407, 269, 7731, 6657, 8074, 1504, 9736, 1001, 280, 267, 7731, 6657, 8074, 1504, 267, 20941, 269, 769, 2136, 2276, 267, 10841, 926, 12118, 568, 519, 3791, 1034, 7928, 927, 2381, 628, 3968, 267, 25295, 1152, 676, 13622, 11988, 543, 269, 1809, 30646, 849, 4755, 547, 723, 513, 1164, 2179, 540, 13101, 267, 799, 267, 2687, 568, 621, 2922, 547, 4444, 3134, 643, 597, 630, 4594, 643, 644, 710, 264, 2228, 547, 513, 1353, 538, 5450, 29440, 4750, 267, 666, 1832, 707, 11178, 2324, 5347, 607, 7423, 15301, 7775, 30288, 7423, 12175, 5047, 267, 717, 3201, 270, 19699, 295, 24975, 5731, 665, 823, 1632, 729, 3254, 547, 581, 8200, 593, 519, 11852, 540, 717, 3201, 305, 272, 3911, 7564, 337, 3279, 2822, 1512, 553, 1285, 3954, 2028, 566, 7578, 1159, 7564, 4135, 6716, 5314, 523, 4139, 5948, 585, 519, 5530, 540, 10266, 267, 594, 3008, 303, 267, 1474, 834, 5319, 1073, 12317, 698, 5554, 9300, 7416, 522, 577, 737, 7564, 985, 331, 558, 7564, 1087, 580, 26627, 24038, 572, 535, 7238, 1066, 611, 1199, 642, 7564, 341, 333, 611, 1087, 330, 3385, 14248, 518, 3905, 663, 324, 642, 7564, 341, 333, 611, 1087, 330, 3385, 267, 14248, 518, 14850, 330, 337, 1508, 1775, 1768, 1067, 1285, 521, 18033, 323, 534, 257, 9497, 2304, 18473, 10444, 543, 3929, 1995, 2404, 609, 4890, 610, 1761, 5160, 3441, 267, 610, 4330, 538, 2474, 540, 269, 634, 556, 19840, 17300, 3644, 786, 1034, 2693, 2014, 30133, 269, 2368, 540, 519, 3123, 540, 14159, 1928, 538, 2021, 949, 581, 20027, 267, 2705, 1866, 666, 581, 1272, 17116, 269, 898, 568, 2009, 547, 513, 9269, 1093, 343, 3968, 811, 982, 2899, 269, 1411, 666, 2347, 519, 8144, 540, 11002, 617, 4451, 974, 2016, 676, 519, 3943, 9502, 8675, 609, 824, 21594, 971, 607, 281, 9504, 267, 22858, 559, 690, 657, 267, 30038, 28907, 8675, 267, 2274, 7917, 267, 10228, 267, 6182, 2946, 6665, 572, 269, 634, 11460, 540, 519, 9221, 3774, 267, 13105, 7633, 543, 6091, 267, 543, 519, 5580, 6186, 1711, 513, 1507, 17860, 1572, 519, 818, 5404, 527, 269, 715, 748, 782, 976, 26195, 1195, 518, 796, 552, 17733, 733, 523, 656, 796, 561, 1329, 632, 15418, 20221, 12911, 516, 740, 637, 572, 552, 17733, 2034, 18311, 907, 3962, 3390, 3568, 4155, 4255, 543, 2934, 593, 2773, 267, 5026, 267, 3486, 3795, 540, 4155, 5198, 267, 6006, 543, 23594, 1222, 1286, 2621, 267, 2930, 5359, 267, 14789, 543, 2472, 3657, 596, 13854, 609, 707, 681, 11862, 3782, 8502, 286, 18127, 17333, 4345, 2923, 630, 6943, 540, 5664, 1274, 3968, 264, 4446, 582, 571, 6373, 269, 16731, 10021, 520, 2940, 2593, 585, 811, 1344, 590, 7417, 27749, 1473, 1709, 585, 2422, 543, 12830, 8881, 6176, 12500, 8500, 1295, 3912, 11142, 21447 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5815, 8647, 29015, 267, 789, 666, 849, 581, 1644, 547, 824, 2152, 269, 1403, 596, 610, 2576, 596, 917, 568, 27109, 1022, 540, 891, 2589, 267, 621, 568, 1271, 547, 3343, 3318, 948, 547, 3313, 519, 3597, 2014, 543, 1711, 513, 1544, 585, 2126, 563, 763, 26647, 1375, 956, 540, 513, 4400, 9577, 532, 15850, 545, 454, 288, 1164, 1922, 4233, 532, 23931, 568, 2576, 945, 15387, 513, 3811, 1795, 1228, 1247, 10010, 609, 4568, 8213, 269, 901, 1826, 540, 8647, 23931, 949, 3180, 1524, 513, 2816, 267, 2226, 3347, 267, 543, 1256, 14133, 538, 741, 2123, 543, 3318, 1272, 267, 782, 1247, 31205, 10010, 609, 4568, 6057, 563, 763, 15865, 2470, 540, 741, 8213, 666, 1118, 621, 4101, 547, 2697, 543, 2232, 519, 1966, 269, 4400, 1922, 4233, 532, 4568, 923, 949, 1745, 26997, 547, 3343, 948, 1317, 789, 4250, 519, 4539, 540, 13031, 741, 8213, 267, 971, 607, 519, 1764, 593, 741, 2816, 610, 1514, 4567, 563, 763, 4835, 9620, 540, 513, 1164, 1922, 4233, 532, 23931, 666, 849, 581, 1713, 269, 1358, 949, 1995, 4606, 540, 16203, 267, 17847, 267, 543, 4160, 607, 789, 6560, 547, 2226, 741, 1795, 1228, 540, 3339, 1097, 1247, 21679, 609, 8213, 269, 634, 3586, 2604, 547, 1832, 909, 23079, 666, 1291, 547, 25874, 543, 2790, 1072, 2152, 267, 971, 607, 4965, 543, 4160, 563, 1607, 1826, 540, 8647, 23931, 949, 849, 3068, 5007, 2591, 267, 971, 607, 2269, 1441, 2123, 3347, 543, 513, 7771, 538, 2816, 2773, 610, 4876, 16548, 269, 15850, 8213, 543, 6057, 666, 1491, 513, 17167, 593, 2790, 543, 2168, 1072, 267, 3056, 547, 1279, 3856, 4539, 602, 949, 581, 2352, 547, 9258, 563, 2005, 779, 1271, 547, 5431, 519, 2189, 9620, 5185, 676, 1164, 1922, 4233, 532, 4568, 923, 543, 547, 2709, 6568, 267, 1489, 267, 543, 2200, 547, 948, 873, 2232, 741, 8213, 543, 1847, 2509, 6051, 563, 2108, 11947, 1922, 4233, 532, 4568, 923, 949, 1745, 26997, 547, 3343, 948, 1317, 789, 4250, 519, 4539, 540, 13031, 741, 8213, 267, 971, 607, 519, 1764, 593, 741, 2816, 610, 1514, 4567, 3034, 763, 8177, 540, 15850, 1143, 593, 17716, 543, 4518, 454, 2704, 4022, 1143, 666, 723, 513, 14042, 1764, 593, 2123, 3347, 543, 960, 1272, 269, 9577, 532, 4568, 923, 1419, 2408, 547, 723, 741, 2729, 1927, 267, 855, 741, 2623, 666, 1711, 8082, 543, 4655, 609, 6068, 3283, 543, 9164, 7567, 563, 2704, 4022, 545, 2623, 666, 2039, 689, 7099, 23638, 543, 29338, 547, 31081, 17965, 543, 10714, 269, 589, 8647, 23931, 949, 4225, 741, 6704, 936, 7836, 942, 609, 1920, 543, 2828, 267, 3056, 547, 4606, 540, 32659, 543, 10072, 269, 1358, 949, 849, 6560, 547, 2226, 2635, 3347, 1813, 547, 741, 12402, 547, 12404, 741, 8213, 543, 2057, 29270, 741, 2042, 563, 4263, 960, 267, 8647, 4568, 923, 949, 6560, 609, 2773, 543, 7607, 269, 1358, 949, 4413, 21852, 267, 1397, 909, 3735, 547, 11401, 267, 610, 6560, 547, 1445, 593, 4247, 269, 4256, 2623, 666, 849, 1711, 513, 13029, 543, 13943, 960, 1604, 585, 741, 9164, 267, 3056, 547, 2269, 1441, 3318, 3347, 563, 7021, 942, 267, 5571, 4568, 6057, 666, 1291, 547, 1279, 3856, 1072, 2152, 543, 824, 4539, 602, 666, 2417, 8833, 3347, 543, 960, 1272, 269, 1452, 666, 1331, 2883, 2042, 267, 3656, 2152, 267, 543, 2816, 2530, 563, 2005, 568, 4105, 547, 3343, 948, 952, 596, 610, 2576, 596, 2648, 568, 513, 8647, 23931, 269, 15850, 8213, 568, 513, 3978, 2068, 602, 3340, 3318, 2126, 543, 1489, 269, 2755, 519, 4155, 547, 6051, 666, 581, 2352, 267, 621, 568, 4502, 519, 4674, 547, 25580, 3347, 543, 3035, 1279, 3856, 1072, 543, 8788, 563, 31262, 532, 23931, 2623, 666, 723, 513, 1713, 1764, 593, 2123, 3347, 543, 960, 1272, 267, 2870, 8082, 543, 4655, 609, 6068, 3283, 543, 9164, 269, 16418, 532, 948, 585, 4568, 8213, 568, 1898, 585, 31811, 3347, 543, 8236, 1279, 3856, 1072, 543, 8788, 563, 290, 14563, 31469, 540, 513, 9577, 532, 15850, 545, 454, 31262, 532, 4568, 923, 1419, 946, 1585, 12003, 6127, 547, 2226, 741, 8213, 1247, 17729, 2322, 1927, 269, 1452, 12003, 6127, 666, 1331, 5883, 2566, 267, 15720, 741, 6704, 267, 543, 4509, 513, 6198, 1795, 1228, 269, 1717, 267, 891, 6127, 616, 711, 4264, 543, 666, 6038, 1291, 547, 2417, 4568, 6057, 543, 8213, 563, 3080, 1455, 12003, 7271, 568, 24677, 269, 9577, 532, 4568, 923, 949, 18609, 2933, 543, 1866, 602, 789, 798, 711, 723, 513, 1966, 609, 4568, 676, 1524, 2452, 532, 519, 6708, 540, 741, 4616, 543, 519, 1764, 593, 741, 3232, 1272, 269, 1358, 949, 849, 7787, 1125, 741, 2623, 543, 16620, 5007, 2188, 971, 607, 2566, 610, 960, 2604, 585, 741, 6704, 563, 5194, 12003, 7271, 568, 10072, 269, 9577, 532, 4568, 923, 949, 3845, 2933, 689, 6068, 3283, 610, 1514, 3871, 602, 1131, 3142, 3007, 547, 741, 6704, 6208, 269, 1358, 949, 849, 2057, 5275, 948, 610, 2126, 856, 540, 4250, 540, 10385, 610, 519, 8226, 602, 789, 3112, 1599, 1510, 4568, 563, 7661, 267, 8647, 4568, 923, 949, 946, 4568, 547, 4383, 741, 4664, 543, 2566, 2157, 269, 1358, 949, 2490, 547, 4568, 607, 513, 1106, 540, 1582, 2173, 539, 1709, 547, 13468, 4160, 267, 4965, 267, 610, 824, 2790, 1072, 2152, 269, 1717, 267, 713, 1152, 5012, 547, 2417, 13829, 593, 4568, 543, 666, 22652, 4540, 2790, 1072, 2042, 563, 2005, 568, 1271, 547, 5431, 891, 12003, 6127, 543, 1174, 602, 789, 616, 711, 2500, 1279, 3856, 3435, 269, 1403, 596, 14353, 602, 2576, 949, 581, 513, 8647, 23931, 267, 621, 568, 1898, 547, 1935, 519, 3510, 609, 6568, 543, 1620, 269, 11559, 519, 1367, 547, 3343, 948, 543, 1683, 1489, 2429, 741, 3460, 2509, 6051, 563, 5353, 22701, 6435, 543, 9615, 585, 513, 9577, 532, 15850, 545, 454, 2252, 596, 610, 2576, 596, 917, 568, 27109, 4191, 540, 8647, 29015, 267, 621, 779, 1898, 547, 3343, 3318, 948, 269, 6736, 519, 15865, 2470, 540, 741, 8213, 267, 513, 8647, 23931, 568, 1869, 693, 1981, 540, 3978, 1072, 543, 2123, 4539, 563, 763, 1101, 1900, 2509, 6051, 568, 14344, 519, 1966, 543, 5275, 2126, 269, 1703, 616, 1585, 2126, 3681, 2139, 267, 4470, 593, 519, 1367, 779, 2189, 3510, 543, 2115, 563, 763, 2805, 568, 513, 1455, 1935, 267, 3246, 513, 2922, 543, 11215, 2230, 547, 2263, 519, 5817, 3123, 540, 4568, 6057, 543, 1020, 12003, 2994, 269, 8081, 2516, 267, 971, 607, 15850, 923, 32088, 267, 2709, 513, 2146, 543, 12477, 585, 1346, 538, 6051, 563, 3725, 4725, 10949, 3292, 666, 581, 606, 2500, 4781, 585, 1346, 8506, 811, 14021, 1489, 267, 609, 538, 18345, 543, 30229, 3681, 2139, 269, 5489, 2135, 2305, 543, 6646, 29374, 2126, 949, 849, 581, 2556, 585, 2043, 609, 4049, 8213, 563, 2005, 779, 1271, 547, 4063, 602, 6051, 568, 513, 3460, 267, 543, 972, 949, 581, 22303, 2059, 519, 1259, 269, 1717, 267, 609, 519, 1318, 1489, 543, 2200, 267, 621, 779, 2009, 547, 7753, 8647, 29015, 543, 3035, 1279, 3856, 1072, 543, 865, 321, 686, 1214, 563, 8855, 267, 5275, 948, 568, 513, 12703, 543, 4105, 1900, 2509, 513, 8902, 543, 18668, 1272, 269, 1403, 596, 610, 2576, 596, 917, 568, 10010, 609, 8647, 29015, 267, 3914, 856, 547, 513, 3318, 585, 5583, 543, 1489, 563, 11045, 15659, 513, 9577, 532, 15850, 545, 1107, 1548, 1411, 2052, 1684, 454, 11045, 15659, 513, 8647, 23931, 666, 581, 4101, 267, 855, 621, 779, 2629, 585, 741, 3460, 2509, 6051, 269, 1403, 596, 14353, 602, 2576, 538, 707, 1272, 949, 581, 513, 8647, 23931, 267, 621, 779, 1898, 547, 1935, 873, 609, 6568, 543, 8296, 269, 5457, 602, 789, 949, 581, 7680, 4606, 540, 17847, 543, 16203, 267, 543, 621, 779, 4105, 547, 5968, 707, 6161, 538, 513, 1875, 268, 9080, 8540, 531, 1259, 563, 5575, 543, 19466, 267, 5000, 519, 1367, 547, 3343, 3318, 948, 269, 901, 949, 1331, 3797, 267, 1489, 2516, 267, 610, 14317, 3292, 269, 2142, 5423, 547, 2709, 707, 6351, 538, 15388, 543, 4466, 3617, 2200, 563, 2005, 779, 849, 1898, 547, 3715, 6302, 585, 707, 1378, 1134, 5630, 269, 901, 949, 1331, 4259, 7182, 593, 519, 2179, 540, 942, 6170, 609, 519, 1367, 267, 610, 9319, 3871, 1141, 4568, 568, 1459, 269, 5457, 602, 5885, 513, 8647, 23931, 666, 581, 14156, 3454, 532, 267, 543, 621, 779, 1898, 547, 4225, 707, 1378, 1582, 13282, 563, 31636, 568, 1883, 950, 5885, 513, 8647, 23931, 269, 2142, 9237, 543, 1463, 609, 707, 4145, 267, 1247, 849, 1373, 13533, 540, 741, 4606, 543, 1761, 1219, 839, 4369, 269, 18124, 707, 1489, 543, 18515, 547, 948, 538, 1022, 1259, 2009, 563, 8855, 602, 6051, 568, 513, 3460, 267, 543, 621, 779, 711, 2141, 513, 2786, 2619, 269, 4039, 8985, 568, 1455, 267, 543, 621, 779, 2629, 547, 2709, 5571, 1489, 543, 19015, 269, 18270, 622, 519, 1367, 779, 18454, 267, 1100, 2339, 875, 1507, 267, 543, 2611, 3461, 543, 1620, 2429, 519, 1184, 563, 2252, 596, 2461, 4743, 16397, 610, 18516, 540, 875, 547, 1489, 513, 8647, 23931, 267, 2015, 5275, 519, 948, 540, 513, 13309, 610, 1489, 1895, 585, 3054, 269, 1411, 1810, 1406, 723, 547, 6330, 713, 3460, 4805, 563, 8139, 4039, 8985, 543, 519, 10003, 547, 18401, 454, 3725, 11734, 689, 8647, 29015, 568, 513, 1279, 543, 4101, 3460, 602, 3340, 5571, 1489, 543, 11428, 269, 2755, 2126, 666, 581, 2500, 538, 4543, 2043, 7753, 741, 8213, 267, 519, 1981, 540, 26739, 568, 2141, 1459, 563, 9824, 8985, 4386, 950, 606, 1367, 7024, 547, 6704, 1310, 513, 1974, 540, 865, 321, 686, 1214, 267, 543, 621, 568, 513, 1455, 851, 540, 519, 6051, 1184, 585, 1082, 1004, 269, 769, 1249, 267, 2090, 1397, 602, 1063, 476, 2412, 268, 2568, 260, 540, 1346, 23232, 689, 8213, 1995, 693, 2547, 835, 26739, 563, 9824, 8985, 666, 581, 15427, 676, 513, 3099, 540, 2188, 267, 1519, 2566, 267, 1514, 3871, 267, 543, 2942, 4664, 269, 898, 568, 1271, 547, 1174, 602, 26739, 1281, 711, 1611, 5821, 267, 855, 2864, 606, 4316, 547, 1451, 543, 1332, 689, 519, 1995, 563, 306, 22066, 6051, 689, 8647, 29015, 3340, 5571, 1489, 543, 1416, 269, 10657, 267, 1489, 2516, 267, 543, 2564, 2126, 666, 782, 581, 2500, 538, 4543, 2043, 7753, 741, 8213, 543, 2226, 865, 321, 686, 1214, 269, 898, 568, 1271, 547, 3343, 856, 2200, 543, 1489, 547, 948, 4383, 12153, 543, 11883, 609, 21500, 602, 949, 8451, 1282, 519, 6051, 1184, 563, 8855, 267, 6051, 568, 513, 3460, 267, 711, 513, 10278, 269, 898, 3217, 942, 267, 4674, 267, 543, 7029, 547, 7753, 8213, 543, 2226, 865, 321, 686, 1214, 269, 2060, 519, 1318, 1489, 543, 2994, 538, 1747, 267, 2705, 267, 621, 568, 2009, 547, 3035, 1279, 3856, 1072, 543, 8788, 563, 7021, 5765, 519, 853, 7950, 540, 9577, 532, 15850, 1143, 454, 31262, 532, 4568, 923, 1419, 7985, 538, 16563, 267, 12922, 540, 519, 16663, 543, 27790, 602, 2501, 609, 16153, 1154, 741, 8213, 269, 1717, 267, 621, 568, 1271, 547, 5431, 602, 4568, 8213, 568, 513, 2068, 543, 711, 513, 3903, 563, 2704, 4022, 6057, 666, 1860, 4896, 267, 7488, 540, 741, 2085, 267, 4008, 267, 610, 1514, 4567, 269, 634, 1101, 1900, 538, 20408, 519, 16663, 540, 8647, 29015, 568, 547, 13599, 6000, 543, 1866, 827, 519, 19178, 540, 4568, 8213, 269, 1635, 1620, 519, 2068, 543, 922, 1764, 267, 649, 666, 1711, 513, 811, 17519, 543, 11215, 1604, 585, 1346, 10010, 609, 4568, 8213, 563, 2005, 568, 849, 1271, 547, 5431, 519, 1909, 540, 17847, 543, 16203, 538, 31328, 519, 16663, 540, 29015, 269, 8409, 945, 7985, 689, 4568, 8213, 1419, 1745, 513, 2620, 2631, 540, 17847, 543, 16203, 267, 799, 666, 2061, 873, 689, 5275, 948, 543, 1489, 269, 1635, 2870, 513, 1875, 268, 9080, 8540, 531, 543, 11215, 1604, 267, 649, 666, 948, 1346, 7092, 689, 4568, 8213, 7753, 741, 17847, 543, 3343, 519, 948, 789, 991, 563, 17954, 1136, 1524, 519, 7496, 4478, 4568, 8213, 849, 3340, 513, 2686, 6521, 538, 875, 649, 2070, 8213, 269, 13298, 982, 7487, 8213, 607, 513, 5837, 17528, 267, 649, 1590, 5431, 621, 607, 513, 2068, 543, 1521, 621, 607, 971, 269, 901, 2882, 3246, 1569, 547, 10097, 543, 1164, 7779, 2126, 3681, 585, 1346, 10010, 609, 4568, 8213, 563, 7661, 267, 649, 1590, 782, 798, 938, 851, 538, 5009, 513, 2528, 540, 6568, 543, 1489, 585, 1346, 7092 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4824, 676, 782, 519, 3084, 11018, 5171, 262, 4956, 593, 2852, 2875, 2164, 267, 543, 1256, 267, 1175, 899, 513, 3803, 2164, 267, 513, 2798, 941, 9090, 5318, 2059, 609, 1184, 25700, 563, 9617, 585, 1383, 540, 713, 267, 1896, 609, 3335, 519, 8076, 2035, 616, 281, 15099, 11129, 547, 1689, 1317, 540, 513, 32263, 24534, 2263, 1995, 3490, 711, 547, 2446, 634, 2474, 6575, 16056, 21146, 2852, 610, 6280, 4480, 1557, 1831, 15226, 19721, 269, 4432, 1987, 725, 609, 1346, 2059, 609, 930, 824, 1576, 4452, 6663, 1821, 7007, 3842, 2038, 1893, 19831, 6575, 6163, 4930, 609, 2543, 547, 16929, 1557, 6370, 540, 22304, 1633, 1557, 799, 2356, 930, 1004, 3177, 4928, 2861, 17801, 4919, 1382, 267, 543, 3268, 2079, 267, 2094, 6157, 607, 2025, 6752, 539, 2489, 7634, 3330, 519, 4656, 5748, 799, 2356, 27711, 547, 519, 4051, 532, 538, 11469, 26274, 563, 14738, 1631, 972, 814, 1044, 8449, 1620, 519, 1249, 602, 2835, 1599, 6574, 585, 519, 2601, 602, 2959, 585, 13467, 267, 20866, 602, 786, 3335, 519, 513, 1434, 1297, 540, 3730, 7215, 26274, 21195, 2731, 616, 4050, 476, 274, 4528, 2123, 7209, 3594, 2854, 1257, 9141, 282, 4244, 569, 891, 786, 581, 2919, 676, 1797, 540, 2189, 19393, 585, 519, 3483, 540, 1689, 762, 2950, 3823, 1053, 563, 23458, 6742, 658, 6575, 11621, 454, 7628, 602, 476, 1960, 271, 338, 1022, 10688, 3823, 4824, 707, 18515, 1472, 13995, 20335, 7903, 267, 1292, 865, 602, 596, 666, 1022, 2504, 689, 13994, 4327, 6788, 563, 7468, 514, 3321, 2087, 676, 519, 4890, 3801, 547, 581, 2111, 547, 2078, 5396, 7132, 2069, 676, 1797, 540, 3982, 4093, 1700, 6343, 2043, 666, 3362, 8858, 1082, 4628, 1174, 7132, 4755, 547, 581, 4712, 865, 602, 596, 666, 22738, 563, 19465, 25285, 607, 1134, 607, 17402, 1306, 513, 1267, 540, 7591, 454, 4002, 5114, 547, 948, 602, 2534, 267, 707, 2817, 10469, 760, 15802, 9402, 15532, 1557, 827, 21541, 619, 3823, 5678, 630, 301, 6311, 292, 264, 538, 1840, 547, 519, 4890, 3955, 11666, 1581, 7335, 998, 13163, 630, 296, 6938, 1070, 476, 273, 4448, 609, 1022, 3056, 3318, 14078, 538, 519, 1913, 26274, 9015, 267, 7923, 1472, 9750, 513, 32263, 7839, 5116, 827, 6469, 2175, 585, 602, 16594, 18500, 6742, 658, 6575, 563, 4322, 2186, 540, 14541, 12201, 616, 2965, 3606, 3169, 267, 538, 3178, 267, 543, 2347, 607, 10353, 547, 519, 4890, 3652, 540, 14853, 689, 713, 3105, 22687, 15007, 267, 15029, 713, 2285, 1434, 2164, 4843, 513, 1007, 4358, 1055, 2990, 1175, 585, 707, 1646, 538, 3335, 519, 3084, 1242, 2175, 563, 14946, 338, 585, 1523, 543, 6158, 1378, 8694, 909, 2706, 3728, 1317, 476, 2735, 278, 269, 769, 782, 519, 6469, 3741, 267, 519, 1880, 11984, 3823, 634, 7005, 1893, 13172, 19831, 6575, 6163, 949, 1331, 7680, 607, 1134, 607, 18390, 16030, 950, 23182, 2094, 2542, 998, 267, 1603, 267, 15472, 267, 607, 1134, 607, 14379, 538, 563, 22818, 579, 743, 2564, 2257, 1880, 3948, 2460, 540, 799, 3091, 1185, 1022, 1034, 1713, 3310, 2390, 2817, 3872, 5238, 568, 9090, 782, 519, 11776, 713, 19299, 1535, 5733, 4054, 602, 786, 2479, 811, 3395, 10409, 543, 2686, 3818, 13109, 1369, 519, 4890, 1857, 269, 2334, 22212, 22097, 5473, 6280, 5095, 786, 581, 8120, 609, 519, 811, 10427, 2197, 4204, 4441, 282, 3214, 3823, 7247, 28064, 2474, 568, 1510, 513, 8969, 7654, 711, 519, 4890, 547, 1376, 609, 1913, 2731, 616, 12799, 9763, 607, 2429, 713, 9072, 543, 1256, 7840, 563, 296, 6938, 21610, 6311, 292, 11621, 17640, 547, 707, 16594, 16594, 8551, 454, 763, 23578, 609, 2175, 666, 581, 10057, 1317, 540, 11621, 5921, 585, 1022, 2296, 5678, 267, 3812, 609, 476, 1960, 277, 676, 782, 519, 13780, 4204, 10871, 6392, 610, 14643, 585, 3213, 2851, 4448, 609, 2296, 563, 10743, 1224, 998, 606, 1271, 2647, 4268, 609, 2182, 5299, 543, 10123, 1875, 2745, 875, 786, 581, 2111, 547, 1082, 540, 721, 24044, 1970, 4747, 12031, 3732, 585, 596, 547, 1711, 513, 4656, 585, 5931, 267, 585, 1010, 610, 1200, 1582, 267, 543, 1256, 4448, 609, 602, 2477, 540, 602, 2136, 18124, 525, 543, 849, 707, 1158, 282, 538, 1931, 547, 10536, 1007, 1344, 282, 538, 1931, 547, 16253, 602, 786, 602, 1590, 723, 543, 849, 14122, 540, 2413, 2486, 538, 1840, 547, 3335, 519, 9036, 282, 1927, 609, 1175, 585, 10531, 9740, 563, 1103, 341, 6295, 891, 5686, 540, 20801, 338, 616, 2965, 25749, 543, 10123, 15923, 267, 21305, 607, 1134, 607, 2413, 6377, 1568, 563, 10743, 1353, 930, 4990, 540, 1804, 8552, 5473, 2326, 856, 540, 9118, 9979, 609, 1585, 11964, 585, 596, 547, 2322, 1927, 513, 1434, 4656, 585, 519, 1880, 513, 2603, 540, 521, 1944, 630, 324, 3052, 1421, 10952, 267, 5837, 267, 12716, 264, 538, 1480, 1373, 1995, 563, 10743, 2322, 593, 513, 32263, 5458, 25819, 827, 2994, 602, 786, 4628, 1174, 267, 14377, 267, 2708, 267, 711, 547, 2446, 2648, 1257, 20261, 563, 6624, 4482, 3823, 707, 18631, 979, 998, 267, 741, 1378, 4205, 1927, 609, 824, 12204, 540, 13794, 607, 1134, 607, 1004, 267, 3283, 1378, 1702, 2404, 609, 1523, 865, 713, 1797, 711, 547, 2446, 689, 1585, 824, 1257, 20261, 267, 1010, 610, 1200, 781, 2262, 540, 5023, 3961, 2994, 267, 543, 1256, 741, 4742, 5432, 609, 4448, 609, 21849, 2640, 630, 324, 3052, 1421, 3280, 268, 12072, 3845, 2069, 267, 8360, 1374, 267, 25896, 267, 12449, 1916, 10743, 7369, 519, 8415, 689, 11913, 267, 2919, 267, 538, 1840, 547, 8642, 11469, 630, 324, 3052, 1421, 24218, 267, 7678, 267, 6863, 264, 2509, 3717, 7561, 1927, 609, 513, 32263, 5044, 609, 13794, 1927, 609, 5497, 585, 4625, 1114, 5301, 563, 10743, 1118, 946, 540, 930, 4990, 540, 1804, 25819, 2404, 609, 2853, 950, 789, 786, 5965, 607, 1134, 607, 960, 609, 1896, 21882, 5106, 2152, 3927, 585, 596, 547, 5330, 609, 519, 948, 540, 1257, 547, 1118, 2386, 596, 8608, 28339, 8320, 1557, 3988, 17640, 547, 513, 1007, 5542, 538, 5301, 563, 10743, 946, 1702, 585, 7215, 5943, 267, 4914, 1893, 19014, 630, 324, 3052, 1421, 6037, 28375, 538, 1840, 547, 18685, 1070, 2923, 4485, 267, 27461, 13172, 267, 543, 3099, 2509, 1711, 267, 2708, 267, 711, 547, 2446, 2911, 827, 5496, 268, 2745, 7132, 1875, 268, 2745, 5931, 563, 10743, 4163, 719, 2263, 11341, 547, 4145, 543, 849, 18697, 676, 1259, 540, 15980, 4555, 543, 13668, 267, 543, 849, 3274, 676, 30286, 13542, 563, 6624, 7485, 1927, 267, 5173, 267, 711, 547, 2446, 30075, 1239, 6119, 607, 513, 1267, 540, 930, 4990, 540, 2647, 2039, 5473, 2959, 630, 324, 3052, 1421, 8228, 7132, 1875, 268, 2745, 1257, 20261, 267, 13742, 267, 1004, 264, 2509, 598, 2091, 707, 4681, 585, 2994, 602, 786, 14183, 3283, 1378, 30254, 7132, 5304, 563, 10743, 4019, 513, 1434, 5542, 609, 10509, 711, 547, 2446, 3872, 7221, 630, 324, 3052, 1421, 8021, 267, 1463, 1559, 267, 2780, 1062, 3889, 267, 3381, 264, 547, 948, 596, 5180, 909, 543, 849, 30075, 4388, 543, 849, 547, 581, 2111, 547, 1305, 909, 538, 1840, 547, 2911, 1702, 563, 10743, 1332, 930, 4990, 540, 1620, 585, 2059, 609, 15666, 547, 585, 22464, 538, 16166, 960, 609, 267, 7180, 267, 1927, 609, 22463, 17364, 12977, 267, 6803, 6688, 267, 13664, 10851, 267, 711, 547, 2446, 17801, 673, 5107, 563, 10743, 4171, 547, 2253, 609, 11469, 568, 711, 8209, 7111, 7005, 10529, 1711, 1491, 5413, 540, 689, 707, 1360, 1101, 7215, 547, 1118, 2386, 596, 10536, 1379, 1369, 513, 2296, 4633, 26274, 538, 1840, 547, 547, 1628, 909, 26762, 2404, 609, 1641, 1570, 17364, 602, 6437, 563, 10743, 7119, 7487, 602, 5483, 267, 14436, 267, 7499, 267, 1927, 609, 1360, 1271, 27498, 585, 513, 1007, 5542, 585, 7924, 2950, 563, 10743, 4324, 689, 11913, 267, 4050, 2740, 267, 2059, 609, 5075, 2474, 547, 948, 2744, 1034, 540, 519, 4865, 4170, 630, 324, 3052, 1421, 2966, 585, 6616, 267, 1187, 267, 6725, 267, 538, 1840, 547, 3335, 519, 23396, 827, 1344, 1916, 18128, 6295, 2042, 609, 16166, 19831, 6575, 10459, 27380, 554, 1046, 547, 2097, 1394, 547, 1118, 2386, 596, 2995, 4815, 1216, 7382, 1557, 827, 1614, 12478, 5473, 2866, 5219, 547, 1354, 563, 1607, 594, 6938, 21610, 6311, 292, 2418, 786, 581, 1576, 540, 2962, 9141, 267, 5921, 585, 519, 4890, 5176, 782, 3296, 269, 589, 1804, 1297, 540, 1880, 1268, 1448, 856, 6498, 540, 1565, 723, 3893, 9112, 707, 13948, 1378, 16166, 19831, 6575, 2175, 5497, 585, 3214, 538, 1114, 2557, 2157, 282, 891, 2010, 540, 4268, 676, 14461, 569, 3769, 4441, 543, 14931, 21195, 1472, 602, 1686, 4448, 609, 1893, 19831, 6575, 6163, 1543, 4930, 5921, 585, 30157, 1557, 1983, 2861, 1770, 547, 948, 596, 4480, 5059, 6788, 543, 849, 930, 9735, 2097, 547, 2474, 3823, 2749, 4308, 609, 936, 513, 1576, 4452, 563, 18662, 5234, 616, 2965, 16718, 609, 519, 948, 540, 3335, 519, 2534, 689, 11028, 4290, 532, 891, 17874, 4019, 1870, 13055, 1062, 3732, 7132, 8888, 3292, 543, 1256, 4152, 799, 3172, 1518, 4487, 476, 619, 639, 5098, 25127, 1806, 4102, 1292, 4145, 563, 26502, 519, 1482, 547, 1118, 2386, 596, 891, 593, 519, 772, 1547, 521, 1547, 3557, 6608, 991, 3366, 585, 596, 547, 15024, 609, 4789, 1700, 320, 25568, 267, 17640, 547, 513, 1804, 1297, 540, 1896, 1296, 267, 1369, 713, 15357, 618, 609, 2495, 2861, 5583, 3330, 6313, 607, 1134, 607, 13629, 563, 13014, 661, 6369, 11835, 1456, 2059, 609, 8342, 454, 763, 5767, 15024, 1472, 634, 20410, 538, 1840, 547, 8581, 538, 21570, 2844, 930, 4990, 540, 8404, 538, 4543, 2474, 26274, 1282, 18006, 267, 1256, 1498, 1443, 2358, 5051, 5423, 3292, 607, 1134, 607, 4152, 28110, 1893, 6575, 1543, 609, 2543, 547, 7855, 1557, 1367, 9292, 4594, 629, 665, 1557, 2404, 609, 4330, 4093, 563, 29209, 8397, 11776, 267, 476, 272, 3823, 562, 3930, 13004, 711, 6005, 1982, 547, 1205, 1557, 513, 1434, 1297, 540, 1898, 18497, 3466, 5473, 1022, 8545, 476, 736, 628, 1927, 609, 16349, 8938, 23867, 21971, 267, 1522, 581, 930, 4990, 540, 1158, 17253, 2680, 267, 607, 4583, 609, 5753, 4448, 609, 26790, 630, 1220, 272, 1916, 10303, 1022, 12343, 267, 32117, 2338, 2404, 609, 13102, 267, 1164, 3506, 267, 543, 7855, 1472, 1114, 2477, 3274, 1317, 3927, 899, 585, 519, 4890, 772, 1547, 521, 1547, 28787, 338, 616, 2356, 5185, 2212, 593, 1927, 609, 519, 1271, 5473, 22212, 519, 1880, 1982, 538, 1840, 547, 519, 1491, 5413, 540, 3823, 16551, 547, 948, 596, 2097, 909, 609, 873, 782, 4998, 609, 2543, 547, 2852, 1053, 827, 1082, 1114, 4914, 1893, 7132, 17801, 673, 3774, 335, 3639, 563, 763, 3929, 8082, 10838, 1053, 262, 1367, 20340, 543, 10123, 11095, 2418, 609, 3335, 519, 835, 1880, 13869, 267, 7132, 2241, 1373, 3811, 9909, 585, 1022, 7215, 10459, 1247, 8272, 549, 1042, 3330, 2418, 585, 782, 519, 3606, 267, 2285, 1850, 334, 5863, 1285, 12310, 801, 338, 1535, 1015, 581, 513, 1750, 831, 19420, 517, 1557, 3119, 2591, 538, 1931, 547, 7215, 10459, 3610, 538, 3335, 519, 3312, 8938, 23867, 2540, 563, 2735, 278, 269, 769, 602, 5664, 269, 623, 2176, 17625, 267, 19760, 281, 26081, 655, 2335, 563, 290, 3201, 298, 27486, 267, 700, 10813, 312, 546, 454, 2735, 277, 269, 634, 13910, 5473, 29955, 5675, 269, 623, 2176, 17625, 267, 19760, 281, 26081, 655, 2335, 563, 290, 4456, 289, 21788, 20911, 267, 645, 6020, 3198, 269, 476, 2735, 278, 269, 834, 23458, 267, 6182, 553, 4771, 267, 543, 10123, 17402, 1701, 10738, 27870, 606, 1271, 7335, 270, 16240, 15858, 267, 16245, 850, 14524, 269, 1656, 16699, 30215, 543, 10123, 5130, 5695, 321, 650, 269, 623, 2176, 17625, 267, 19760, 281, 9137, 8800, 2780, 1062, 1557, 267, 11581, 300, 26685, 561, 476, 1960, 272, 563, 257, 9743, 2315, 531, 20905, 585, 28064, 2474, 14579, 1893, 8551, 1701, 10801, 18361, 4448, 609, 27148, 693, 3213, 2286, 713, 2296, 9293, 8551, 267, 552, 15952, 517, 24627, 267, 7325, 773, 19257, 1408, 548, 269, 808, 27255, 267, 667, 1014, 324, 700, 1952, 267, 607, 1134, 607, 25381, 12059, 269, 8293, 790, 269, 30404, 3840, 281, 5839, 17524, 534, 563, 293, 2752, 22552, 16810, 267, 9338, 3198, 267, 543, 10123, 31253, 8991, 267, 631, 6579, 2464, 563, 1960, 277, 269, 11621, 17640, 547, 513, 3703, 12480, 624, 8551, 269, 12124, 320, 267, 14889, 281, 3557, 8191, 885, 538, 21541, 619, 2404, 609, 2296, 563, 32271, 7495, 32602, 267, 918, 2894, 301, 24518, 267, 543, 849, 15562, 3198, 301, 2177, 267, 623 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4550, 2275, 22083, 2360, 269, 11153, 2860, 1591, 3515, 723, 1044, 2938, 547, 17297, 4733, 1447, 950, 595, 6369, 568, 1459, 269, 634, 27442, 577, 573, 4577, 3679, 22107, 1228, 949, 581, 4299, 676, 519, 524, 280, 267, 512, 1556, 568, 9593, 267, 799, 1131, 1267, 538, 1447, 552, 545, 657, 534, 6950, 1373, 3812, 269, 6270, 6464, 616, 3283, 602, 5000, 10408, 2208, 543, 6553, 563, 763, 4681, 540, 1480, 8062, 593, 519, 4998, 595, 6369, 9570, 723, 1044, 22522, 269, 634, 5354, 18973, 10438, 476, 274, 547, 476, 277, 10101, 829, 1554, 547, 10038, 2597, 269, 1677, 1205, 25191, 9570, 7840, 267, 3643, 609, 707, 3782, 4274, 1317, 519, 2500, 18262, 949, 4268, 4470, 593, 2123, 4162, 563, 15987, 3335, 1134, 2389, 11217, 730, 267, 16063, 2042, 971, 13165, 267, 15353, 267, 543, 26533, 616, 2009, 2427, 2360, 5532, 547, 595, 6369, 7245, 269, 2368, 2090, 723, 849, 7000, 602, 13455, 1164, 1673, 846, 946, 949, 3895, 7378, 4187, 543, 6797, 3170, 19221, 267, 799, 1522, 723, 513, 17672, 1198, 593, 6797, 543, 10894, 1072, 563, 28012, 1344, 568, 2139, 593, 519, 2009, 4205, 540, 595, 6369, 609, 824, 5061, 269, 1717, 267, 1416, 568, 15695, 1247, 1210, 5061, 602, 7369, 1973, 20188, 2157, 21276, 569, 267, 971, 607, 2493, 1231, 610, 824, 8501, 268, 869, 1359, 6527, 267, 1813, 547, 741, 1764, 593, 20188, 10307, 563, 4407, 595, 6369, 949, 723, 1072, 5383, 267, 621, 568, 1271, 585, 596, 547, 8415, 621, 14013, 269, 901, 14122, 5275, 1808, 5583, 689, 513, 3782, 3318, 267, 1739, 9570, 4808, 267, 5329, 606, 3750, 856, 585, 1022, 2427, 2360, 267, 543, 2921, 883, 2272, 1022, 1761, 4205, 1063, 595, 6369, 543, 824, 8192, 9360, 610, 5061, 563, 18814, 547, 922, 3209, 1979, 17190, 543, 2009, 1072, 2640, 267, 1230, 24503, 730, 6931, 1961, 545, 18729, 814, 4607, 3007, 538, 519, 11890, 540, 6484, 543, 4915, 269, 4014, 972, 568, 2963, 602, 621, 814, 4550, 2275, 22083, 4162, 267, 5383, 585, 9025, 1072, 267, 543, 25242, 519, 4761, 1062, 267, 811, 9488, 1353, 568, 2838, 547, 19472, 891, 2640, 543, 3313, 519, 1655, 13066, 269, 1280, 519, 3617, 946, 540, 713, 9422, 7110, 267, 621, 568, 849, 1898, 585, 596, 547, 581, 5483, 540, 1022, 1761, 8801, 2360, 543, 4205, 563, 3519, 24503, 730, 6931, 1961, 545, 18729, 912, 290, 6369, 666, 2087, 707, 4761, 1062, 543, 3565, 547, 519, 6197, 5079, 596, 616, 1818, 547, 3035, 543, 2226, 513, 2597, 779, 602, 2635, 585, 596, 269, 595, 6369, 10123, 1223, 581, 513, 851, 540, 707, 6197, 5079, 547, 2061, 543, 5924, 1521, 2860, 269, 901, 6219, 666, 2087, 2295, 1072, 543, 9797, 1860, 10307, 269, 1703, 568, 711, 1454, 1344, 2139, 3823, 922, 4205, 609, 6527, 543, 9360, 563, 8923, 4497, 538, 6596, 267, 5571, 2792, 609, 707, 1072, 1416, 12665, 3823, 707, 6165, 540, 595, 6369, 269, 1548, 18262, 568, 1318, 585, 596, 5673, 593, 3875, 2188, 1519, 1022, 840, 25365, 2175, 543, 568, 1655, 5462, 538, 512, 30802, 609, 11967, 1072, 1416, 4648, 269, 1879, 13950, 543, 3144, 538, 20208, 267, 595, 6369, 814, 513, 2603, 540, 1761, 547, 4217, 538, 519, 993, 601, 1640, 566, 540, 1896, 2565, 1072, 2042, 563, 268, 968, 3519, 24503, 730, 6931, 1961, 545, 18729, 538, 1520, 760, 846, 570, 22568, 543, 11485, 540, 3733, 18201, 658, 5606, 541, 794, 1848, 8158, 3245, 281, 4179, 2517, 335, 889, 4364, 8542, 322, 6798, 8542, 27476, 8542, 8811, 10993, 270, 14225, 30697, 2412, 13045, 268, 968, 9556, 1637, 540, 6553, 543, 12046, 676, 8192, 17788, 730, 13274, 1961, 545, 3679, 1848, 8158, 3245, 281, 4179, 2517, 335, 889, 4364, 8542, 322, 6798, 8542, 27476, 8542, 8811, 10993, 270, 28796, 9262, 275, 2918, 13045, 268, 968, 3519, 24503, 730, 6931, 1961, 545, 18729, 12186, 593, 9435, 267, 25667, 267, 543, 16183, 29912, 281, 589, 5623, 540, 2776, 4211, 4802, 673, 543, 5274, 2558, 10118, 609, 7351, 21126, 1848, 8158, 689, 281, 4179, 2517, 4178, 8542, 322, 6798, 8542, 27476, 8542, 8811, 10993, 9706, 32508, 270, 14895, 18025, 10157, 5038, 272, 22145, 271, 13045, 30131, 8074, 281, 634, 1344, 8659, 538, 713, 2376, 568, 585, 2489, 21141, 5301, 1152, 267, 543, 1058, 711, 581, 1526, 29471, 607, 1072, 610, 2564, 5796, 267, 6862, 568, 621, 5497, 547, 13209, 267, 2061, 267, 1521, 267, 610, 10826, 1022, 2068, 610, 1072, 2783, 269, 6969, 25054, 593, 1022, 2732, 267, 8516, 20786, 267, 610, 1982, 540, 9422, 21455, 267, 621, 568, 19624, 547, 5077, 707, 3782, 3318, 538, 1931, 547, 3313, 922, 3106, 543, 21483, 12117, 538, 2474, 540, 707, 1367, 1533, 540, 1072, 563, 8802, 8973, 715, 26798, 4675, 6123, 2107, 4033, 6348, 6261, 637, 5524, 2657, 15733, 281, 1403, 1022, 9422, 9360, 610, 824, 1875, 25535, 5524, 1072, 2472, 616, 5018, 538, 519, 2062, 4707, 2376, 267, 1022, 6811, 610, 6898, 1500, 827, 873, 723, 711, 1044, 11117, 676, 519, 772, 2529, 269, 5253, 543, 10684, 10029, 267, 543, 971, 9422, 9360, 610, 824, 1072, 2472, 616, 711, 5497, 547, 13209, 267, 1521, 267, 10826, 267, 610, 2061, 1022, 2068, 269, 0, 1432, 568, 513, 8808, 1698, 7723, 1788, 888, 288, 8808, 1698, 7723, 1788, 568, 513, 28285, 7084, 602, 1053, 2347, 693, 519, 1439, 540, 741, 8808, 1982, 269, 898, 568, 606, 4316, 585, 1053, 547, 6542, 741, 1702, 543, 1983, 538, 8808, 1382, 267, 2259, 267, 543, 2963, 2861, 1416, 269, 7167, 7723, 3785, 666, 1491, 513, 3099, 540, 3029, 267, 971, 607, 1382, 4574, 267, 1982, 20241, 267, 2298, 6454, 3785, 267, 543, 2013, 2090, 563, 3963, 568, 621, 1271, 888, 301, 2720, 532, 1698, 7723, 3785, 616, 1271, 585, 513, 1297, 540, 4128, 269, 3689, 267, 789, 948, 1053, 547, 1020, 519, 2565, 3206, 543, 1966, 9010, 1983, 602, 616, 1898, 585, 8808, 2259, 269, 5822, 267, 1698, 7723, 3785, 1450, 1053, 547, 4019, 1018, 789, 723, 4121, 538, 519, 4928, 547, 1483, 8996, 8808, 2042, 269, 12059, 267, 1698, 7723, 3785, 666, 948, 1053, 547, 2697, 2127, 540, 8808, 2259, 602, 991, 6454, 563, 1432, 616, 519, 1114, 2010, 540, 8808, 1698, 7723, 3785, 888, 2467, 616, 1082, 1114, 2010, 540, 8808, 1698, 7723, 3785, 267, 855, 930, 540, 519, 1034, 1455, 1331, 912, 268, 3194, 4574, 281, 3194, 4574, 4125, 10647, 3312, 1382, 593, 513, 8808, 1888, 540, 1719, 269, 4841, 3335, 2328, 513, 3332, 2689, 547, 17412, 519, 4540, 1382, 593, 741, 1888, 267, 543, 1287, 1374, 543, 2932, 513, 1353, 540, 741, 1378, 563, 268, 5358, 20241, 281, 5358, 20241, 4125, 12570, 519, 7145, 540, 513, 8808, 1982, 610, 6304, 269, 4841, 3335, 2445, 1239, 689, 5171, 538, 519, 1982, 610, 6304, 267, 543, 1287, 5659, 519, 1239, 547, 2697, 9342, 543, 12755, 563, 268, 10866, 6454, 3785, 281, 10866, 6454, 3785, 4125, 7114, 543, 7598, 2994, 547, 2087, 519, 2298, 540, 8808, 1416, 269, 4841, 3335, 2445, 1239, 593, 513, 2298, 6454, 2268, 267, 543, 1287, 1374, 543, 2936, 606, 6304, 547, 2087, 602, 2268, 563, 268, 8865, 2090, 281, 8865, 2090, 4125, 538, 3829, 2079, 540, 513, 2582, 3461, 610, 1895, 540, 2550, 269, 4841, 3335, 2445, 1239, 593, 519, 3461, 4433, 264, 685, 2564, 1686, 267, 2168, 6514, 267, 10368, 4255, 267, 543, 2126, 4093, 563, 1692, 547, 3442, 519, 1318, 8808, 1698, 7723, 1788, 1888, 585, 596, 454, 2691, 7446, 513, 8808, 1698, 7723, 1788, 1888, 267, 621, 568, 1271, 547, 2015, 707, 4690, 267, 9342, 267, 543, 6074, 8808, 20614, 1858, 269, 1411, 1058, 849, 3442, 513, 1888, 602, 568, 4143, 547, 1699, 8808, 2259, 543, 602, 568, 15164, 543, 19242, 563, 2080, 616, 930, 4388, 585, 7446, 513, 8808, 1698, 7723, 1788, 1888, 912, 268, 11020, 10445, 513, 1592, 540, 3584, 602, 596, 616, 5461, 538, 269, 1548, 616, 596, 13730, 827, 286, 1548, 616, 707, 9342, 286, 1548, 2127, 540, 8808, 2259, 798, 596, 1616, 547, 1451, 811, 827, 888, 268, 715, 5535, 1524, 707, 1592, 540, 3584, 676, 6236, 707, 6074, 8808, 20614, 1858, 269, 1548, 616, 519, 1034, 10296, 2152, 538, 707, 2361, 286, 1548, 2127, 540, 8808, 2259, 991, 6454, 888, 268, 13185, 547, 707, 8808, 1698, 7723, 1788, 25129, 827, 707, 1592, 540, 3584, 269, 1358, 666, 948, 596, 547, 3442, 513, 1888, 602, 568, 15164, 543, 19242, 267, 543, 602, 568, 13988, 609, 707, 4690, 543, 3853, 563, 19522, 585, 3478, 3323, 593, 707, 8808, 1698, 7723, 1788, 454, 5629, 596, 723, 6074, 513, 8808, 1698, 7723, 1788, 1888, 267, 621, 568, 1271, 547, 1205, 3323, 593, 707, 1788, 607, 2038, 607, 2009, 269, 3371, 616, 930, 4388, 585, 3478, 3323, 912, 268, 8073, 513, 15415, 585, 707, 1788, 269, 901, 786, 948, 596, 547, 3251, 593, 3950, 543, 547, 2743, 707, 21852, 563, 268, 3763, 513, 1382, 1544, 269, 901, 786, 948, 596, 547, 2697, 519, 4143, 2959, 540, 1344, 543, 547, 2445, 519, 1239, 602, 596, 991, 563, 268, 5192, 6896, 269, 8073, 513, 1062, 585, 12180, 707, 1382, 4967, 267, 1239, 267, 543, 824, 1788, 2326, 563, 268, 9105, 585, 948, 950, 596, 991, 621, 269, 2659, 8808, 1698, 7723, 1788, 25129, 267, 15032, 267, 543, 824, 8808, 4648, 666, 581, 3407, 2200, 563, 24400, 513, 8808, 1698, 7723, 1788, 1888, 454, 13706, 707, 4690, 543, 9342, 454, 1432, 616, 596, 13730, 827, 538, 8808, 286, 1548, 616, 707, 9342, 286, 1548, 2127, 540, 8808, 2259, 798, 596, 1616, 547, 1451, 811, 827, 286, 19805, 513, 1888, 602, 596, 616, 5461, 538, 543, 602, 596, 616, 1434, 693, 786, 1118, 519, 1698, 7723, 1788, 1184, 811, 11791, 543, 14785, 563, 13914, 827, 707, 6074, 8808, 20614, 1858, 454, 1432, 616, 519, 1034, 10296, 2152, 538, 707, 2361, 286, 1548, 2127, 540, 8808, 2259, 991, 6454, 286, 19805, 513, 1888, 602, 568, 4143, 547, 707, 6074, 8808, 20614, 1858, 786, 1450, 596, 547, 4019, 707, 1702, 543, 1983, 547, 513, 1483, 8996, 1966, 563, 16521, 513, 1888, 602, 568, 4143, 547, 1699, 8808, 2259, 454, 301, 2720, 532, 568, 513, 7683, 9687, 2361, 267, 865, 621, 568, 1271, 547, 3442, 513, 1888, 602, 568, 4143, 547, 1699, 8808, 2259, 269, 901, 786, 2327, 602, 707, 1698, 7723, 1788, 568, 12905, 543, 6209, 563, 13014, 2386, 707, 1888, 568, 15164, 543, 19242, 454, 7312, 8808, 1698, 7723, 1788, 1058, 581, 4101, 855, 15164, 269, 5213, 1406, 3442, 513, 1888, 602, 568, 1932, 3376, 610, 1932, 1950, 269, 13185, 547, 707, 8808, 1698, 7723, 1788, 25129, 547, 1205, 741, 5955, 593, 519, 23250, 540, 707, 1888, 563, 3519, 2265, 532, 1382, 585, 707, 8808, 1698, 7723, 1788, 454, 16240, 707, 8808, 1698, 7723, 1788, 1957, 454, 5629, 596, 723, 5342, 707, 1382, 267, 621, 568, 942, 547, 1376, 1603, 707, 8808, 1698, 7723, 1788, 1957, 269, 3371, 616, 930, 4388, 585, 1603, 513, 2178, 1698, 7723, 1788, 1957, 912, 14946, 513, 5098, 3948, 269, 2659, 5098, 3948, 568, 519, 1292, 4661, 540, 707, 1957, 269, 898, 1058, 581, 513, 2312, 543, 13801, 3948, 602, 18304, 909, 707, 4681, 563, 8620, 606, 7291, 269, 1323, 7291, 786, 948, 596, 547, 10891, 707, 4555, 543, 547, 2327, 602, 707, 1957, 568, 1134, 3613, 19099, 563, 2237, 513, 2178, 4367, 543, 3932, 269, 2659, 4367, 1058, 13622, 519, 5467, 543, 6338, 707, 1888, 269, 2659, 3932, 1058, 17412, 707, 1292, 2798, 543, 4734, 519, 5467, 609, 1945, 547, 1589, 827, 563, 28874, 707, 6811, 609, 2963, 689, 707, 1382, 269, 2142, 2386, 547, 13712, 707, 2959, 5265, 563, 8196, 2312, 543, 13801, 1893, 269, 3680, 1210, 3822, 543, 2930, 2474, 602, 707, 5467, 949, 711, 1174, 563, 27893, 1348, 707, 1957, 5402, 269, 5269, 2386, 547, 6169, 1348, 707, 1957, 5402, 1354, 26446, 621, 547, 707, 14357, 563, 303, 6974, 532, 707, 8808, 1698, 7723, 1788, 454, 5629, 596, 723, 2854, 707, 8808, 1698, 7723, 1788, 1957, 267, 596, 786, 991, 547, 1459, 621, 547, 707, 14357, 543, 5924, 15032, 269, 3371, 616, 930, 4388, 585, 9306, 707, 1698, 7723, 1788, 912, 20797, 707, 6881, 25656, 269, 901, 786, 948, 596, 547, 1745, 811, 8746, 543, 547, 5838, 707, 6881, 12347, 563, 6826, 5423, 547, 2626, 2055, 689, 707, 5304, 269, 6056, 827, 1018, 2055, 707, 5304, 1522, 2307, 543, 5965, 4267, 538, 4434, 563, 8196, 23877, 547, 1489, 707, 6881, 269, 10439, 338, 666, 581, 513, 1390, 1259, 547, 4497, 707, 5304, 543, 547, 1118, 707, 6881 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 607, 7510, 516, 628, 12541, 610, 2166, 4148, 3578, 12541, 547, 10936, 519, 10860, 2047, 563, 1892, 28820, 10840, 532, 19683, 543, 3490, 15236, 547, 4894, 8988, 8127, 543, 741, 5798, 563, 1892, 22034, 20202, 20637, 547, 7001, 8988, 8127, 563, 1892, 1234, 680, 5217, 2025, 267, 14927, 2835, 543, 1957, 3688, 609, 1007, 3283, 607, 8988, 8127, 3049, 593, 873, 563, 3528, 3695, 519, 3681, 1657, 267, 596, 666, 1491, 519, 1697, 3268, 547, 608, 32558, 622, 8988, 8127, 689, 707, 1753, 563, 8489, 798, 8988, 8127, 979, 16074, 888, 7021, 9519, 267, 8988, 8127, 3335, 12404, 538, 1507, 267, 4158, 5624, 971, 607, 18015, 267, 9475, 538, 6821, 543, 19683, 267, 3297, 1433, 322, 1162, 267, 543, 896, 15790, 1115, 1851, 824, 4025, 269, 1358, 616, 27248, 543, 786, 3335, 2097, 856, 693, 3781, 547, 3406, 585, 1426, 543, 29982, 563, 7628, 519, 1554, 267, 789, 786, 2611, 6456, 538, 4025, 540, 9675, 547, 9101, 519, 21765, 543, 538, 1931, 547, 3251, 2922, 689, 11975, 269, 18234, 8127, 12404, 538, 1212, 341, 1182, 543, 9395, 5624, 538, 1931, 547, 7639, 543, 4043, 547, 4782, 14927, 267, 18519, 2127, 267, 865, 513, 19880, 610, 27445, 4055, 568, 519, 3501, 15720, 5544, 585, 873, 563, 12663, 8988, 8127, 31770, 593, 803, 888, 5591, 267, 8988, 8127, 3335, 798, 711, 31770, 593, 3425, 269, 18234, 8127, 616, 1034, 3742, 693, 3781, 543, 789, 2057, 1769, 267, 865, 789, 786, 2356, 3251, 856, 540, 1463, 3346, 609, 3425, 269, 18234, 8127, 616, 13631, 547, 5848, 543, 18519, 2127, 543, 666, 1419, 581, 1336, 538, 8602, 7741, 543, 6539, 29353, 267, 855, 952, 519, 1753, 568, 1134, 268, 1203, 23624, 543, 2973, 1287, 8988, 8127, 786, 2356, 711, 14679, 883, 2127, 540, 519, 1753, 1141, 1004, 616, 8362, 2713, 563, 22068, 591, 8127, 3049, 593, 12308, 267, 1957, 267, 543, 824, 5214, 1570, 267, 865, 547, 2057, 3346, 609, 873, 267, 2973, 543, 4894, 1022, 11935, 689, 2127, 538, 707, 1753, 602, 949, 581, 13267, 547, 891, 7786, 563, 3963, 616, 8988, 8127, 865, 2182, 547, 1205, 7759, 540, 888, 22068, 591, 8127, 616, 711, 528, 13124, 2182, 547, 1205, 7759, 540, 1317, 540, 741, 6043, 543, 9960, 7207, 269, 1358, 616, 27248, 7068, 267, 865, 789, 616, 1419, 2182, 547, 5544, 267, 543, 713, 666, 1118, 873, 2352, 547, 3077, 563, 12234, 267, 8988, 8127, 616, 11212, 1434, 693, 15268, 547, 741, 1604, 267, 799, 2306, 873, 11259, 547, 3114, 28084, 757, 543, 838, 7590, 269, 7053, 267, 8988, 8127, 9742, 5393, 3533, 543, 666, 2482, 909, 547, 476, 4968, 5798, 538, 835, 16801, 563, 1607, 1797, 602, 952, 606, 3355, 4674, 547, 4894, 519, 8988, 8127, 568, 711, 3144, 267, 519, 2551, 666, 3533, 1205, 856, 540, 1688, 269, 1677, 1118, 6927, 8338, 267, 519, 5798, 1491, 476, 277, 4374, 593, 3328, 547, 24011, 267, 855, 713, 942, 666, 4268, 3648, 4470, 593, 5210, 543, 11195, 2157, 563, 1607, 2306, 621, 2352, 547, 8308, 2708, 875, 1454, 540, 513, 1966, 519, 8988, 8127, 2551, 568, 563, 6701, 8988, 8127, 2571, 888, 5591, 267, 8988, 8127, 616, 711, 2571, 269, 18234, 8127, 616, 1507, 267, 13617, 1652, 7786, 602, 616, 3335, 8988, 610, 15454, 880, 15918, 826, 538, 2681, 269, 1358, 723, 6366, 267, 1279, 4703, 609, 10253, 543, 1614, 1490, 30178, 693, 519, 1439, 540, 519, 17737, 563, 22068, 591, 8127, 3668, 606, 608, 18929, 13987, 799, 3947, 873, 513, 2571, 267, 10169, 28489, 344, 1745, 269, 1717, 267, 741, 9018, 8720, 540, 10253, 568, 5347, 543, 2182, 267, 865, 789, 616, 711, 2571, 547, 519, 5905, 269, 769, 1840, 267, 789, 723, 8325, 267, 838, 4176, 7953, 602, 666, 2014, 606, 13943, 621, 577, 952, 789, 616, 20109, 563, 19675, 594, 24807, 8988, 8127, 888, 15371, 610, 711, 596, 1058, 968, 13062, 2313, 892, 513, 8988, 8127, 5673, 593, 707, 3510, 269, 1403, 596, 1265, 8988, 8127, 538, 707, 1753, 267, 519, 1655, 3070, 949, 581, 547, 15972, 519, 8988, 8127, 543, 4894, 873, 689, 519, 1858, 269, 901, 949, 1611, 1210, 513, 12511, 15777, 267, 2156, 558, 543, 7452, 3966, 267, 610, 513, 8708, 547, 1205, 873, 856, 540, 707, 1753, 563, 7230, 8221, 519, 8988, 8127, 568, 9053, 936, 11318, 873, 267, 607, 713, 786, 9004, 741, 2551, 543, 2061, 873, 689, 14921, 2417, 269, 4495, 789, 2461, 6569, 267, 596, 666, 10936, 5521, 8336, 267, 4019, 513, 7452, 532, 8869, 267, 610, 1305, 20202, 20637, 547, 3247, 811, 8988, 8127, 689, 10024, 707, 1753, 563, 2252, 596, 2461, 13964, 543, 2097, 2066, 513, 8988, 8127, 267, 519, 1655, 3364, 547, 798, 568, 547, 1175, 11716, 519, 8988, 8127, 543, 4734, 621, 581, 269, 18234, 8127, 616, 6225, 543, 20027, 267, 865, 8259, 789, 2461, 4929, 596, 610, 707, 1753, 1463, 2800, 267, 621, 779, 1655, 547, 1175, 1577, 873, 979, 563, 1432, 568, 519, 1259, 547, 1205, 7759, 540, 8988, 8127, 888, 763, 1034, 2500, 1259, 547, 1205, 7759, 540, 8988, 8127, 568, 547, 2569, 741, 1426, 2959, 543, 2569, 519, 11195, 538, 707, 1753, 269, 901, 666, 581, 2944, 998, 513, 1297, 540, 2409, 267, 971, 607, 7738, 909, 2127, 1141, 1426, 5536, 949, 18645, 267, 7962, 3539, 543, 7738, 856, 20203, 23691, 5781, 267, 5265, 13936, 1426, 3688, 538, 20177, 11149, 267, 543, 21338, 1022, 21818, 610, 1216, 20984, 602, 949, 581, 1459, 563, 2791, 1058, 849, 2327, 602, 972, 568, 1697, 14910, 538, 707, 1753, 267, 607, 1134, 607, 5329, 11647, 543, 15790, 1115, 2476, 689, 16538, 6821, 269, 3958, 267, 596, 666, 20057, 548, 1426, 17263, 1019, 520, 558, 17675, 3618, 1472, 519, 2127, 1141, 519, 8988, 8127, 7249, 26021, 267, 607, 519, 8325, 8728, 540, 519, 1019, 520, 558, 17675, 3618, 8869, 666, 2759, 543, 13204, 3433, 519, 8988, 8127, 4703, 563, 15563, 267, 596, 666, 946, 5521, 15969, 971, 607, 536, 7595, 3679, 547, 9004, 1022, 8988, 8127, 602, 949, 2611, 563, 1692, 1279, 798, 8988, 8127, 2063, 585, 888, 22068, 591, 8127, 3335, 723, 513, 14438, 540, 1079, 547, 5216, 1296, 267, 4470, 593, 2825, 2175, 543, 519, 8244, 540, 1426, 2959, 269, 769, 513, 15028, 1604, 267, 789, 949, 2661, 909, 547, 5216, 1296, 543, 930, 723, 1256, 1044, 1634, 547, 7639, 585, 3476, 982, 602, 563, 1103, 10792, 2175, 267, 2705, 267, 741, 12468, 335, 753, 949, 581, 6251, 547, 1079, 1296, 269, 18234, 8127, 616, 711, 4584, 344, 3548, 619, 267, 799, 666, 948, 873, 547, 7639, 538, 554, 1513, 615, 2175, 267, 607, 789, 666, 3049, 593, 3592, 1022, 5214, 1570, 267, 1519, 3774, 17549, 267, 2835, 267, 543, 7802, 563, 4913, 267, 789, 798, 991, 1569, 547, 1216, 538, 1931, 547, 7639, 267, 799, 7182, 741, 14438, 538, 5671, 518, 2127, 563, 1432, 798, 8988, 8127, 13842, 519, 1034, 888, 22068, 591, 8127, 13842, 3665, 5210, 267, 6505, 8279, 267, 543, 6753, 602, 616, 711, 18519, 269, 26184, 4411, 5210, 267, 971, 607, 1346, 1336, 538, 14023, 2209, 610, 3819, 5162, 2011, 267, 666, 581, 14603, 585, 8988, 8127, 269, 769, 1840, 267, 6505, 8279, 616, 606, 8886, 656, 585, 873, 543, 666, 2014, 873, 547, 2196, 585, 3382, 563, 22068, 591, 8127, 991, 7509, 547, 7639, 267, 865, 789, 616, 2693, 547, 2057, 3819, 267, 1930, 2127, 267, 971, 607, 1346, 1336, 538, 4859, 5008, 1115, 267, 3490, 906, 543, 1140, 923, 269, 18227, 891, 2127, 1863, 540, 804, 13616, 543, 10992, 585, 1216, 20984, 949, 948, 15658, 8988, 8127, 689, 5275, 856, 891, 6753, 563, 12234, 267, 1210, 632, 21065, 573, 13294, 543, 27575, 1022, 18015, 543, 1212, 341, 1182, 666, 948, 547, 2569, 519, 1297, 540, 8988, 8127, 23493, 538, 513, 1753, 563, 6701, 8988, 8127, 689, 1373, 18660, 888, 5591, 267, 8988, 8127, 616, 711, 3361, 676, 1373, 18660, 269, 1358, 616, 10860, 602, 616, 13631, 547, 3636, 267, 5848, 5054, 267, 799, 19890, 267, 666, 581, 2813, 676, 6028, 1426, 1835, 29304, 610, 824, 3615, 538, 2182, 3562, 3146, 778, 2127, 971, 607, 3297, 4172, 2583, 267, 896, 29826, 267, 543, 538, 5008, 1115, 563, 22068, 591, 8127, 798, 711, 1459, 513, 1463, 1072, 1981, 267, 855, 741, 4527, 666, 581, 30414, 543, 666, 2014, 3441, 607, 789, 4749, 3049, 593, 3688, 899, 1433, 12622, 902, 267, 3774, 17549, 13594, 267, 543, 17234, 269, 1677, 2061, 8988, 8127, 267, 621, 568, 1271, 547, 1832, 513, 2973, 543, 3819, 1604, 676, 1210, 513, 632, 21065, 573, 8595, 267, 8741, 532, 540, 20203, 5781, 267, 543, 4180, 972, 616, 1100, 1426, 1835, 29304, 610, 3688, 2451, 3297, 602, 949, 4482, 873, 563, 12234, 267, 1210, 1875, 3562, 13877, 5521, 15969, 971, 607, 536, 7595, 3679, 949, 948, 3970, 8988, 8127, 28383, 563, 3674, 621, 2009, 547, 1205, 7759, 540, 8988, 8127, 18385, 888, 8133, 267, 621, 568, 2009, 547, 1205, 7759, 540, 8988, 8127, 18385, 269, 1677, 798, 865, 267, 621, 568, 1271, 547, 2697, 543, 2232, 519, 5817, 2707, 540, 519, 23588, 269, 901, 1223, 581, 7509, 2152, 267, 11935, 1628, 5346, 267, 610, 16283, 19455, 563, 5629, 713, 568, 2944, 267, 7598, 519, 1739, 3268, 666, 948, 1205, 7759, 540, 519, 8988, 8127, 18385, 912, 1700, 21079, 741, 1426, 2959, 676, 14874, 2025, 2835, 267, 14786, 267, 21312, 10833, 267, 543, 824, 971, 1570, 689, 519, 1753, 563, 1700, 15188, 7622, 3688, 899, 2835, 543, 7802, 538, 2011, 31259, 11149, 610, 11435, 563, 1700, 1530, 531, 782, 18015, 543, 1212, 341, 1182, 1141, 8988, 8127, 949, 581, 10024, 519, 1753, 563, 1700, 17115, 12511, 543, 7452, 547, 1832, 873, 2476, 543, 25339, 873, 689, 4947, 1394, 563, 1700, 2422, 5521, 15969, 610, 2067, 8925, 899, 16692, 610, 536, 7595, 3679, 547, 1832, 873, 2476, 563, 3528, 2921, 891, 3268, 267, 621, 568, 2009, 547, 1205, 7759, 540, 8988, 8127, 18385, 563, 3963, 993, 594, 10393, 7487, 8988, 8127, 538, 1250, 2777, 888, 22068, 591, 8127, 616, 2219, 547, 581, 1034, 4122, 5189, 883, 5321, 998, 2907, 19899, 6479, 11647, 267, 10833, 267, 543, 1957, 2472, 602, 723, 1044, 4547, 883, 519, 1753, 269, 1358, 666, 849, 581, 4547, 538, 998, 18015, 538, 519, 5748, 543, 824, 2798, 540, 7127, 899, 642, 757, 543, 28368, 563, 22068, 591, 8127, 949, 581, 13631, 547, 5671, 518, 267, 1447, 5887, 23624, 2127, 899, 1140, 923, 543, 3490, 906, 267, 3335, 2282, 1761, 1426, 2959, 899, 1957, 267, 1433, 12622, 902, 543, 17234, 269, 19791, 609, 1164, 11195, 949, 849, 2014, 2582, 8988, 8127, 547, 9062, 267, 607, 789, 4782, 5848, 543, 4158, 2127, 563, 12234, 267, 8988, 8127, 666, 3006, 22132, 689, 8963, 12992, 267, 2523, 950, 789, 5749, 1406, 5265, 20177, 267, 799, 666, 1450, 8988, 8127, 547, 1265, 741, 1259, 883, 519, 1753, 563, 1432, 942, 540, 1032, 798, 8988, 8127, 2097, 856, 888, 22068, 591, 8127, 3335, 2097, 856, 1282, 519, 15911, 3275, 540, 519, 1032, 267, 3335, 689, 2904, 547, 4864, 269, 1358, 616, 27248, 543, 899, 519, 4158, 267, 18519, 1604, 540, 513, 1753, 543, 949, 1831, 811, 3742, 693, 3781, 950, 519, 8279, 616, 1055, 563, 5445, 4782, 3636, 267, 5848, 16374, 543, 4061, 949, 581, 811, 3713, 762, 538, 519, 4832, 3275, 267, 950, 5210, 616, 811, 2693, 547, 581, 1164, 269, 18234, 8127, 849, 4043, 547, 2097, 856, 538, 3152, 2338, 1282, 519, 5614, 3275, 950, 789, 616, 3168, 585, 29982, 543, 1282, 519, 15489, 950, 789, 949, 1413, 585, 513, 1747, 547, 7670, 5793, 563, 11073, 2515, 267, 789, 949, 581, 2938, 896, 20743, 543, 7725, 267, 11981, 519, 14246, 540, 519, 3141, 1282, 519, 1554, 269, 0, 305, 719, 1149, 616, 513, 3532, 543, 3730, 1259, 547, 3715, 8155, 267, 1305, 6788, 267, 543, 6382, 1628, 2318, 3347, 538, 519, 4928, 1604, 1547, 1358, 948, 3025, 3238, 581, 593, 519, 1482, 2985, 454, 300, 582, 10474, 568, 519, 1883, 547, 18094, 543, 547, 1565, 602, 16569, 269, 9906, 8404, 814, 547, 798, 609, 519, 2875, 779, 7287, 547, 7119, 538, 519, 1565, 1184, 454, 12218, 3336, 1604, 568, 606, 1271, 3815, 602, 5540, 2875, 1565, 269, 1323, 4998, 1565, 4928, 568, 950, 1053, 2070, 741, 13460, 607, 513, 2922, 267, 2318, 543, 11215, 2230, 563, 3080, 540, 519, 1034, 1271, 2645, 538, 2500, 3506, 547, 2087, 2875, 2773, 543, 2932, 568, 11007, 269, 901, 568, 513, 2556, 3693, 538, 519, 5137, 540, 3811, 3506, 454, 20181, 5426, 29007, 454, 2691, 972 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 476, 271, 454, 258, 476, 15159, 417, 495, 357, 13601, 994, 258, 512, 332, 14729, 1485, 454, 258, 476, 21588, 361, 16583, 510, 14035, 358, 263, 272, 454, 258, 9625, 3607, 277, 267, 476, 3607, 277, 454, 258, 476, 15159, 417, 482, 496, 419, 499, 354, 31308, 484, 994, 258, 512, 332, 318, 529, 323, 560, 454, 258, 13127, 353, 493, 10524, 353, 28793, 263, 23946, 367, 28793, 17958, 21251, 28996, 994, 258, 23288, 258, 1104, 942, 454, 258, 4266, 815, 3403, 3488, 27447, 24662, 28793, 25426, 368, 263, 28032, 489, 417, 28187, 1001, 279, 268, 4905, 268, 2537, 2567, 5073, 258, 588, 815, 942, 269, 1598, 696, 830, 5560, 622, 10086, 260, 312, 268, 260, 332, 268, 260, 323, 10807, 1948, 17276, 501, 370, 25426, 368, 24757, 10951, 361, 420, 377, 361, 25060, 500, 29873, 28793, 25426, 368, 30317, 419, 354, 500, 454, 258, 1003, 815, 588, 6745, 332, 14729, 1485, 454, 258, 1820, 16325, 994, 16482, 16482, 16482, 258, 23288, 258, 28859, 351, 502, 25203, 362, 22650, 16088, 27447, 24662, 4970, 487, 14748, 10533, 368, 12255, 343, 267, 586, 267, 1990, 8147, 13644, 371, 418, 488, 488, 30244, 4970, 487, 14748, 12255, 13200, 365, 16533, 493, 28996, 27962, 27447, 24731, 25707, 258, 23288, 258, 1219, 512, 332, 22650, 10031, 258, 672, 1820, 3488, 27447, 24662, 4970, 487, 14748, 12255, 21211, 5073, 258, 672, 1535, 815, 3403, 3488, 27447, 24662, 21588, 361, 272, 14748, 12255, 21211, 281, 5073, 258, 672, 586, 815, 3403, 3488, 27447, 24662, 21588, 361, 273, 14748, 12255, 21211, 281, 5073, 258, 672, 1990, 815, 3403, 3488, 27447, 24662, 21588, 361, 274, 14748, 12255, 21211, 281, 5073, 258, 672, 561, 815, 1496, 343, 11971, 267, 345, 2639, 258, 672, 2855, 815, 15044, 10857, 264, 476, 1948, 476, 12916, 510, 18263, 509, 23746, 23284, 12916, 379, 17958, 4289, 31699, 3890, 25913, 25622, 23521, 354, 26406, 496, 31365, 8147, 27882, 353, 28793, 4289, 10951, 361, 420, 374, 360, 16533, 484, 420, 351, 360, 32517, 362, 418, 498, 373, 454, 258, 672, 1820, 19906, 994, 16482, 16482, 16482, 258, 23288, 258, 28859, 351, 502, 25203, 362, 24879, 16088, 13161, 494, 21796, 351, 421, 480, 352, 417, 354, 495, 12255, 28578, 25707, 258, 23288, 258, 1219, 512, 332, 24879, 10031, 258, 672, 23288, 258, 22614, 357, 489, 31365, 26166, 22909, 494, 16088, 13161, 494, 21796, 351, 421, 480, 352, 417, 354, 495, 12255, 28578, 8147, 9463, 486, 26175, 364, 421, 375, 482, 19404, 495, 26166, 31176, 366, 12255, 28578, 8147, 418, 490, 485, 7511, 15159, 30244, 21550, 371, 22047, 12255, 28578, 16088, 271, 18998, 272, 18998, 272, 18998, 273, 18998, 274, 18998, 276, 18998, 279, 18998, 1724, 18998, 2641, 18998, 4097, 18998, 8796, 25707, 258, 476, 7987, 494, 14748, 32512, 14035, 485, 21796, 357, 7987, 495, 16088, 23523, 486, 14035, 504, 26175, 491, 25335, 352, 25622, 8147, 16043, 495, 15159, 418, 490, 487, 419, 483, 356, 26166, 31176, 366, 7511, 25913, 19764, 493, 8147, 30006, 493, 418, 361, 350, 9463, 500, 28578, 23989, 12571, 492, 4970, 353, 421, 350, 373, 8147, 419, 482, 370, 12571, 492, 25203, 372, 20693, 510, 25707, 258, 23288, 258, 561, 815, 1496, 271, 267, 272, 2639, 258, 585, 1775, 538, 2039, 263, 1015, 2187, 258, 672, 2855, 815, 561, 15631, 273, 281, 2639, 258, 672, 561, 6910, 19906, 314, 271, 27994, 1551, 314, 272, 7481, 258, 1820, 10857, 994, 16482, 258, 23288, 258, 28859, 351, 502, 25203, 362, 23669, 16088, 16533, 484, 22047, 28578, 23989, 7511, 12255, 29004, 362, 14035, 491, 10254, 370, 28996, 9463, 355, 22047, 28578, 23989, 18809, 25707, 258, 23288, 258, 1219, 512, 332, 23669, 10031, 258, 672, 23288, 258, 476, 7987, 494, 14748, 32512, 14035, 485, 21796, 357, 7987, 495, 16088, 417, 28187, 31563, 419, 367, 375, 14756, 509, 7511, 419, 506, 489, 13213, 485, 7090, 10533, 503, 31801, 489, 18263, 489, 32352, 7511, 18021, 498, 13644, 354, 421, 25693, 419, 509, 354, 421, 479, 497, 25707, 258, 5124, 19404, 490, 30837, 351, 13601, 10254, 485, 421, 25693, 15159, 28098, 420, 365, 350, 8147, 4289, 7511, 14035, 491, 10254, 370, 421, 506, 478, 28884, 17958, 11468, 2639, 258, 476, 7511, 25913, 19764, 493, 25707, 258, 29635, 485, 367, 30678, 321, 815, 513, 9463, 359, 15159, 25203, 372, 25051, 497, 30678, 14756, 503, 320, 9463, 500, 29072, 14748, 10254, 360, 12571, 491, 26033, 490, 26266, 366, 8147, 418, 490, 485, 12571, 495, 7511, 15159, 12571, 490, 22047, 28578, 23989, 8147, 23946, 370, 418, 366, 350, 20069, 14395, 508, 27064, 364, 14035, 491, 10254, 370, 25707, 258, 23288, 258, 513, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 2639, 258, 536, 815, 513, 11468, 2639, 258, 23288, 258, 28859, 351, 502, 14035, 500, 13644, 507, 454, 258, 23288, 258, 672, 513, 314, 271, 24557, 271, 454, 258, 672, 1820, 263, 573, 5416, 1070, 573, 6357, 4297, 476, 1948, 476, 23746, 23284, 419, 506, 489, 28996, 320, 14720, 7511, 19540, 483, 11858, 502, 21251, 13601, 420, 485, 368, 8147, 15159, 14035, 491, 10254, 370, 454, 258, 672, 1820, 5416, 14720, 264, 16875, 1948, 476, 32517, 362, 418, 498, 373, 320, 8147, 321, 21251, 9463, 502, 454, 258, 672, 513, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 2639, 258, 672, 536, 815, 513, 454, 258, 672, 513, 314, 271, 24557, 271, 454, 258, 672, 1820, 263, 573, 5416, 1070, 573, 6357, 4297, 476, 1948, 13127, 28187, 31563, 31308, 375, 26406, 487, 11468, 316, 8147, 23746, 23284, 419, 506, 489, 28996, 320, 14720, 7511, 19540, 483, 11858, 502, 13601, 420, 485, 368, 8147, 23946, 370, 418, 366, 350, 20069, 14035, 491, 10254, 370, 8147, 418, 490, 485, 12571, 495, 7511, 15159, 12571, 490, 22047, 28578, 23989, 454, 258, 672, 1820, 5416, 14720, 264, 16875, 1948, 476, 32517, 362, 418, 498, 373, 320, 8147, 321, 18263, 509, 9463, 502, 454, 16482, 16482, 258, 23288, 258, 28859, 351, 502, 25203, 362, 25484, 16088, 30903, 502, 25203, 362, 16088, 27447, 24731, 454, 258, 476, 280, 2608, 476, 280, 454, 258, 476, 18263, 502, 25622, 9463, 352, 13644, 478, 23989, 25707, 258, 23288, 258, 1219, 512, 332, 25484, 10031, 258, 672, 1948, 7987, 494, 14748, 32512, 14035, 485, 21796, 357, 7987, 495, 16088, 26266, 366, 14756, 493, 417, 379, 502, 29072, 8147, 419, 503, 378, 18021, 355, 29072, 19867, 491, 418, 481, 367, 420, 369, 371, 23521, 354, 9463, 352, 13644, 478, 23989, 10429, 371, 12916, 497, 421, 499, 379, 10524, 478, 18263, 486, 21550, 371, 25707, 258, 672, 1948, 17276, 367, 357, 418, 482, 493, 4939, 268, 278, 338, 13127, 23687, 1439, 284, 5257, 476, 7511, 17958, 25622, 8147, 10429, 370, 10524, 500, 418, 366, 350, 10524, 478, 18263, 486, 25707, 258, 672, 585, 1775, 538, 2039, 263, 272, 267, 1015, 2187, 258, 1363, 585, 795, 538, 2039, 263, 272, 267, 1015, 2187, 258, 17264, 952, 795, 27045, 328, 912, 258, 4449, 5569, 815, 1412, 260, 323, 265, 260, 323, 284, 260, 323, 262, 260, 263, 329, 267, 328, 25814, 265, 328, 994, 258, 4449, 1820, 3488, 260, 268, 278, 338, 262, 260, 11415, 267, 754, 8782, 5073, 258, 1363, 1820, 3488, 5073, 16482, 16482, 258, 23288, 258, 28859, 351, 502, 25203, 362, 27947, 16088, 418, 504, 480, 417, 479, 506, 13601, 26175, 496, 27447, 24731, 25707, 258, 23288, 258, 1219, 512, 332, 27947, 10031, 258, 672, 1948, 7987, 494, 14748, 32512, 14035, 485, 21796, 357, 7987, 495, 16088, 5503, 4732, 2748, 3890, 8147, 17958, 13213, 485, 7511, 421, 25693, 419, 509, 354, 421, 479, 497, 25707, 258, 672, 1104, 942, 454, 258, 672, 513, 815, 942, 28333, 4590, 258, 672, 942, 4732, 2748, 263, 272, 994, 258, 672, 536, 815, 942, 28333, 4590, 258, 672, 1820, 6357, 8584, 994, 16482, 16482, 258, 23288, 258, 28859, 351, 502, 25203, 362, 18089, 16088, 418, 504, 480, 417, 479, 506, 13601, 26175, 496, 27447, 24731, 8147, 23946, 370, 21550, 376, 19764, 493, 25060, 500, 25051, 497, 31176, 491, 28793, 25426, 368, 25707, 258, 23288, 258, 1219, 512, 332, 18089, 10031, 258, 672, 1948, 7987, 494, 14748, 32512, 14035, 485, 21796, 357, 7987, 495, 16088, 17958, 13213, 485, 16583, 510, 418, 361, 350, 8147, 17958, 13213, 485, 16533, 365, 417, 379, 502, 25707, 258, 672, 1104, 942, 454, 258, 672, 513, 815, 942, 269, 1598, 1111, 830, 3488, 260, 312, 268, 260, 332, 268, 260, 323, 4939, 295, 281, 260, 300, 281, 260, 306, 3299, 5503, 7456, 665, 5306, 830, 263, 5503, 28333, 3890, 4297, 1948, 942, 7456, 665, 5306, 830, 3890, 28793, 25426, 368, 16043, 367, 420, 377, 361, 25060, 500, 29873, 28793, 25426, 368, 30317, 419, 354, 500, 454, 258, 672, 1820, 5416, 994, 258, 672, 942, 4732, 2748, 263, 272, 994, 258, 672, 536, 815, 942, 269, 1598, 1111, 830, 3488, 260, 312, 268, 260, 332, 268, 260, 323, 4939, 295, 281, 260, 300, 281, 260, 306, 3299, 5503, 7456, 665, 5306, 830, 263, 5503, 28333, 3890, 4297, 1948, 942, 269, 1598, 1111, 830, 3890, 28793, 25426, 368, 30317, 419, 354, 500, 420, 377, 361, 25060, 500, 29873, 28793, 25426, 368, 24757, 10951, 361, 454, 258, 672, 1820, 6357, 994, 16482, 16482, 258, 23288, 258, 28859, 351, 502, 25203, 362, 18733, 16088, 9463, 353, 10429, 372, 25426, 362, 30903, 502, 16088, 454, 258, 476, 20069, 13601, 28098, 10429, 498, 31878, 8147, 454, 258, 476, 10524, 492, 24731, 13200, 509, 12571, 492, 21588, 361, 274, 14748, 10951, 486, 420, 369, 371, 30006, 493, 14748, 10951, 486, 421, 25693, 13200, 509, 13601, 28098, 10429, 498, 31878, 8147, 454, 258, 13127, 364, 493, 10429, 498, 31878, 421, 499, 379, 28996, 21588, 361, 4970, 487, 14748, 10951, 486, 12571, 492, 30006, 493, 14748, 10951, 486, 9463, 486, 13200, 509, 13601, 28098, 10429, 498, 31878, 25707, 258, 13127, 479, 485, 417, 28187, 10429, 498, 31878, 421, 25693, 21251, 27882, 375, 25707, 258, 476, 25426, 362, 30006, 493, 14748, 10951, 486, 7511, 10429, 498, 31878, 26233, 375, 12255, 20992, 14035, 504, 16533, 495, 5405, 509, 454, 258, 23288, 258, 1219, 512, 332, 18733, 10031, 258, 672, 23288, 258, 476, 10429, 370, 14395, 508, 30244, 421, 479, 497, 30903, 502, 16533, 365, 15159, 13161, 494, 21796, 351, 421, 480, 352, 417, 354, 495, 12255, 28578, 7511, 13200, 365, 23521, 354, 25707, 258, 476, 7987, 494, 14748, 32512, 14035, 485, 21796, 357, 7987, 495, 16088, 419, 494, 484, 418, 372, 483, 26233, 507, 420, 371, 363, 15159, 10429, 367, 421, 498, 362, 8147, 419, 494, 484, 25335, 352, 29873, 418, 375, 350, 4970, 353, 14748, 10951, 486, 12571, 492, 8147, 30006, 493, 10951, 486, 421, 25693, 420, 25693, 13200, 509, 10429, 498, 31878, 8147, 16533, 365, 417, 354, 377, 20693, 508, 29072, 25707, 258, 23288, 258, 544, 272, 284, 272, 1948, 17276, 375, 350, 10951, 486, 454, 258, 544, 273, 284, 271, 1948, 17276, 375, 350, 32517, 358, 10951, 486, 27818, 31284, 14748, 10951, 486, 13200, 509, 10429, 498, 31878, 24724, 454, 258, 6515, 284, 271, 1948, 476, 23746, 23284, 10951, 486, 10951, 486, 13200, 509, 10429, 498, 31878, 29072, 454, 258, 585, 1775, 538, 2039, 263, 272, 267, 1015, 2187, 258, 672, 1948, 476, 13213, 485, 29072, 272, 14748, 10951, 486, 12571, 492, 454, 258, 672, 6515, 815, 6515, 266, 332, 273, 476, 1948, 13127, 488, 510, 24662, 13161, 364, 417, 351, 508, 29873, 23946, 368, 7511, 10429, 498, 31878, 454, 258, 672, 544, 273, 815, 544, 272, 672, 1948, 17276, 375, 350, 10951, 486, 7511, 9463, 502, 29873, 418, 375, 350, 32517, 358, 10951, 486, 454, 258, 672, 544, 272, 815, 6515, 672, 1948, 476, 30244, 14748, 10951, 486, 13161, 364, 24731, 13200, 509, 10429, 498, 31878, 454, 258, 672, 1820, 9217, 267, 7825, 266, 332, 272, 266, 332, 273, 264, 1948, 17276, 363, 493, 14748, 10951, 486, 20069, 14035, 504, 16533, 495, 28098, 10429, 498, 31878, 454, 16482, 16482, 258, 23288, 258, 28859, 351, 502, 25203, 362, 23713, 16088, 10254, 353, 13161, 511, 6200, 910, 476, 1220, 454, 258, 476, 18263, 489, 25426, 368, 20069, 14035, 504, 16533, 495, 14748, 27381, 510, 12255, 8147, 23946, 370, 27447, 24731, 19867, 478, 20069, 27381, 510, 12255, 25707, 258, 23288, 258, 1219, 512, 332, 23713, 10031, 258, 672, 23288, 258, 476, 7987, 494, 14748, 32512, 14035, 485, 21796, 357, 7987, 495, 16088, 418, 490, 487, 419, 483, 356, 27381, 510, 12255, 21251, 420, 25693, 420, 351, 360, 18263, 489, 31176, 491, 7511, 27381, 510, 12255, 10533, 368, 30522, 353, 8147, 9463, 500, 1220, 23284, 19540, 483, 19867, 478, 20069, 27381, 510 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10289, 519, 28249, 540, 2677, 790, 543, 5295, 538, 16972, 16527, 661, 549, 6776, 23620, 11470, 692, 296, 269, 4985, 692, 292, 549, 6776, 15832, 5708, 814, 1279, 1044, 513, 2442, 9135, 1851, 3988, 5275, 547, 2263, 4798, 540, 7287, 267, 6612, 267, 543, 2648, 269, 10738, 713, 6626, 7121, 6818, 513, 24848, 516, 602, 3560, 338, 721, 547, 519, 16972, 5736, 267, 513, 942, 6353, 676, 7453, 1514, 8155, 543, 14461, 4008, 5107, 269, 8616, 267, 9624, 713, 1065, 1833, 267, 2984, 540, 28302, 12602, 267, 6456, 13821, 267, 543, 1379, 6384, 11200, 267, 5356, 513, 2189, 7828, 998, 799, 547, 4983, 1480, 3347, 543, 14920, 269, 769, 713, 1576, 1770, 267, 649, 5490, 883, 519, 1158, 540, 16972, 2144, 5328, 15832, 5708, 267, 3695, 922, 3140, 2796, 267, 21044, 2609, 267, 543, 5339, 4644, 780, 2862, 269, 634, 16972, 16527, 281, 589, 5384, 540, 3115, 1833, 543, 32425, 692, 2414, 1174, 519, 9029, 540, 16972, 2144, 5328, 15832, 5708, 267, 835, 1590, 1101, 9787, 519, 3140, 2796, 538, 799, 621, 568, 1305, 269, 634, 16972, 5736, 267, 3957, 1310, 10348, 15117, 781, 12081, 630, 8146, 278, 268, 5002, 272, 1070, 729, 6825, 676, 4028, 22713, 267, 20012, 267, 543, 1713, 2686, 10593, 269, 6736, 891, 2242, 267, 6848, 6788, 4478, 3023, 543, 14920, 7283, 7361, 24240, 269, 6468, 941, 4397, 547, 2611, 669, 4292, 2394, 7365, 267, 1247, 2367, 1419, 7722, 538, 970, 1090, 541, 1388, 12602, 1510, 12343, 269, 901, 27524, 30315, 2813, 15417, 2666, 585, 8941, 540, 24193, 2648, 543, 5728, 2119, 7370, 780, 7656, 269, 5295, 18868, 543, 13834, 32018, 692, 23338, 547, 1082, 16972, 2144, 5328, 15832, 9089, 616, 1379, 6384, 543, 4008, 1909, 10941, 1023, 269, 9093, 267, 12926, 9763, 607, 8789, 5515, 267, 949, 1265, 2933, 693, 519, 23502, 540, 2021, 945, 29937, 741, 8706, 6541, 607, 513, 14049, 269, 1452, 6386, 4161, 6671, 2093, 827, 27828, 543, 8706, 6541, 267, 18136, 3988, 547, 2243, 519, 7687, 5116, 2390, 2043, 1759, 9003, 593, 741, 4008, 269, 5015, 267, 789, 1683, 3255, 585, 3197, 547, 16637, 6848, 10148, 267, 4466, 5191, 543, 20106, 538, 6397, 4025, 780, 4353, 269, 634, 5678, 540, 7043, 532, 281, 661, 1575, 1335, 1143, 543, 769, 20692, 754, 334, 692, 11693, 519, 9184, 5622, 2470, 540, 8763, 4638, 1543, 1282, 519, 16972, 5736, 267, 4589, 16941, 8185, 593, 552, 1575, 1335, 1143, 543, 7961, 340, 754, 334, 547, 6655, 7287, 543, 25055, 269, 901, 18932, 267, 859, 25607, 1893, 5713, 711, 1152, 547, 21915, 531, 1125, 3988, 855, 849, 547, 20838, 519, 804, 663, 32347, 2470, 540, 519, 3197, 262, 13341, 269, 1635, 14139, 971, 12485, 267, 5830, 16436, 3988, 547, 7119, 538, 519, 957, 540, 29852, 519, 3020, 2495, 3297, 9583, 21030, 6681, 1913, 543, 2453, 267, 7551, 4463, 2287, 519, 2949, 2283, 783, 1995, 780, 309, 269, 7073, 22627, 281, 27915, 5131, 689, 5081, 13926, 21673, 725, 692, 4407, 1305, 538, 513, 11397, 2250, 267, 16972, 2144, 5328, 15832, 5708, 3788, 4143, 2221, 1813, 547, 922, 3408, 540, 15851, 4798, 971, 607, 1582, 22523, 267, 16882, 267, 543, 519, 6560, 1996, 6848, 6788, 269, 3509, 4207, 1568, 3136, 547, 2721, 6667, 689, 713, 3638, 3140, 1974, 267, 11744, 519, 5571, 9029, 540, 891, 6386, 269, 3958, 267, 2413, 14624, 543, 1427, 32478, 2709, 4195, 5380, 593, 5929, 8941, 267, 3850, 1007, 5481, 540, 3988, 547, 4497, 609, 543, 1451, 689, 519, 2250, 780, 9654, 269, 10390, 692, 1103, 3932, 267, 16972, 5736, 2144, 5328, 15832, 5708, 3091, 513, 9159, 19214, 883, 513, 1158, 1141, 7287, 543, 1379, 18595, 710, 267, 4101, 2757, 4008, 5107, 543, 3246, 3255, 585, 3197, 547, 1219, 344, 6848, 14908, 269, 3414, 922, 946, 540, 552, 1575, 1335, 2065, 1893, 543, 8561, 593, 1379, 6384, 267, 713, 24848, 516, 5170, 547, 6678, 337, 718, 3988, 267, 18136, 873, 547, 2263, 741, 1378, 6302, 543, 9784, 741, 7961, 25958, 13821, 269, 1306, 971, 267, 621, 3788, 606, 1898, 5057, 540, 519, 3677, 2144, 5328, 15832, 5251, 267, 23429, 938, 7104, 1620, 540, 1480, 3347, 543, 14920, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 1739, 4564, 782, 2835, 4867, 7396, 1369, 519, 9135, 267, 12634, 912, 288, 4816, 269, 898, 7012, 1405, 1932, 1454, 547, 2307, 585, 910, 729, 621, 888, 10111, 334, 543, 11518, 9710, 928, 723, 621, 782, 1107, 610, 798, 789, 286, 2961, 334, 779, 6574, 6999, 568, 547, 581, 513, 3993, 267, 543, 513, 4816, 568, 519, 835, 3364, 11518, 666, 1406, 2285, 1200, 269, 28791, 267, 540, 1576, 267, 646, 1917, 338, 267, 18664, 4900, 610, 2848, 1023, 835, 7498, 10907, 1484, 4884, 267, 1744, 16336, 3884, 1406, 2386, 1352, 779, 2759, 856, 547, 581, 513, 3993, 269, 9046, 568, 267, 1352, 779, 5216, 3275, 9176, 2507, 2060, 1200, 3659, 7325, 773, 779, 1489, 267, 1744, 16336, 568, 4947, 547, 2474, 609, 31587, 3993, 3125, 950, 1352, 10742, 11518, 1107, 543, 519, 3781, 332, 732, 5956, 563, 12663, 1744, 16336, 779, 1007, 1922, 895, 8788, 2063, 888, 1432, 13080, 786, 11518, 979, 547, 538, 1010, 1391, 547, 1265, 513, 4816, 585, 2961, 334, 888, 4517, 1281, 1744, 16336, 779, 4816, 1611, 519, 1439, 540, 7325, 773, 779, 13922, 585, 519, 2104, 286, 848, 4283, 16924, 454, 17606, 729, 835, 21687, 3781, 269, 1261, 729, 1250, 9997, 22940, 543, 594, 8910, 2760, 5433, 811, 9800, 269, 594, 7948, 1406, 2995, 1864, 594, 3893, 9176, 269, 898, 1131, 4076, 8297, 1441, 3388, 269, 1809, 1631, 1010, 8250, 6499, 547, 2743, 1864, 543, 594, 991, 547, 1118, 1919, 1318, 1848, 6271, 15237, 23012, 1524, 1200, 32336, 269, 18222, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 16337, 1315, 661, 8527, 3821, 1315, 8466, 1315, 16972, 16527, 661, 549, 6776, 23620, 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, 1103, 713, 1770, 267, 649, 786, 2263, 513, 4241, 1888, 538, 519, 1158, 540, 8804, 543, 7384, 281, 9781, 2883, 7405, 1210, 5124, 269, 1284, 786, 1451, 875, 547, 1711, 513, 2203, 602, 1138, 12885, 519, 2623, 540, 1719, 3928, 936, 942, 267, 543, 1287, 649, 3513, 1449, 938, 2203, 547, 1294, 952, 621, 8308, 9356, 1483, 8996, 2344, 1239, 780, 6524, 649, 4685, 883, 519, 3009, 267, 1577, 781, 1101, 1174, 930, 1883, 2035, 780, 1262, 19950, 26162, 543, 5494, 870, 11790, 4373, 19950, 3928, 616, 513, 4909, 1523, 538, 8804, 269, 1358, 2099, 519, 1942, 540, 24228, 2724, 610, 519, 2132, 593, 10115, 2724, 269, 769, 938, 2203, 267, 649, 786, 1445, 593, 1719, 3928, 585, 24228, 267, 799, 616, 3335, 6829, 607, 513, 6871, 540, 519, 2179, 22666, 780, 288, 10958, 3815, 568, 513, 1297, 602, 4564, 519, 1459, 1871, 540, 513, 2104, 6666, 2095, 269, 769, 824, 1913, 267, 621, 6645, 721, 875, 1454, 649, 1131, 991, 547, 1902, 2221, 547, 4309, 513, 1978, 2179, 538, 519, 2104, 267, 2016, 513, 1808, 1719, 2557, 269, 634, 4542, 585, 12719, 513, 10958, 3815, 568, 1384, 16465, 20728, 346, 11577, 870, 16748, 348, 815, 1422, 2765, 346, 272, 2410, 263, 272, 1341, 678, 8203, 339, 8679, 9681, 3602, 1269, 337, 259, 568, 519, 1719, 2557, 543, 1269, 339, 259, 568, 519, 942, 538, 1296, 780, 1262, 306, 1729, 577, 2880, 22948, 543, 918, 1716, 1564, 4373, 1103, 8804, 267, 649, 1419, 946, 32094, 3157, 547, 2203, 519, 2623, 540, 2883, 7405, 936, 942, 269, 589, 32094, 1184, 568, 513, 4015, 540, 4351, 4632, 602, 11457, 936, 942, 267, 543, 513, 32094, 17830, 568, 513, 6310, 1599, 602, 6257, 519, 5506, 540, 28006, 689, 835, 1533, 547, 1776, 538, 513, 32094, 1184, 780, 1103, 938, 2203, 267, 649, 786, 946, 513, 32094, 1184, 547, 18082, 519, 4720, 540, 1719, 3928, 936, 942, 267, 543, 649, 786, 946, 32094, 737, 1716, 1564, 547, 5173, 519, 5506, 540, 28006, 689, 835, 1719, 2557, 547, 1776, 780, 1262, 26329, 2836, 12299, 4373, 5629, 649, 723, 2813, 938, 2203, 267, 649, 991, 547, 1449, 621, 547, 1294, 952, 621, 8308, 9356, 1483, 8996, 2344, 1239, 269, 901, 1184, 568, 1572, 2203, 23363, 269, 769, 938, 2013, 267, 649, 786, 5635, 519, 10958, 2188, 6383, 676, 938, 2203, 547, 519, 10958, 2188, 7229, 689, 1483, 8996, 2344, 1239, 269, 1403, 519, 3017, 1063, 519, 1079, 568, 1507, 2614, 267, 649, 666, 2161, 602, 938, 2203, 568, 1134, 23343, 2320, 730, 780, 3086, 602, 649, 723, 513, 2596, 1620, 540, 519, 2035, 267, 1577, 781, 4685, 883, 519, 3009, 780, 5575, 267, 649, 991, 547, 3888, 519, 2556, 8021, 269, 1284, 786, 581, 1210, 17877, 267, 513, 5399, 585, 10230, 7384, 267, 543, 2233, 13695, 267, 513, 5399, 585, 3621, 7384, 269, 1677, 3888, 891, 8021, 267, 649, 666, 946, 519, 1739, 4971, 1384, 8199, 256, 26921, 3888, 11885, 1085, 27251, 454, 7884, 9202, 267, 649, 991, 547, 1104, 519, 2556, 13838, 1384, 3499, 7090, 454, 5814, 11885, 607, 5286, 454, 5228, 1085, 27251, 14714, 1846, 1104, 2343, 454, 5228, 1085, 27251, 269, 5793, 335, 25544, 1104, 11410, 272, 323, 454, 7884, 3086, 1577, 781, 5581, 930, 21635, 602, 649, 786, 946, 538, 938, 2203, 1384, 3499, 7090, 454, 339, 28804, 815, 476, 2568, 454, 339, 26174, 815, 476, 1911, 876, 454, 323, 815, 476, 1911, 476, 1948, 10155, 540, 519, 1533, 2230, 454, 343, 28804, 815, 910, 272, 269, 271, 454, 343, 26174, 815, 476, 272, 269, 271, 454, 333, 815, 476, 1911, 271, 476, 1948, 1297, 540, 942, 2798, 454, 12978, 815, 476, 271, 269, 272, 476, 1948, 1611, 10941, 542, 3432, 454, 6233, 318, 2017, 557, 815, 5286, 15126, 8443, 271, 269, 4905, 267, 476, 271, 269, 6349, 267, 476, 271, 269, 6734, 267, 476, 271, 269, 6860, 8079, 476, 1948, 1719, 2557, 7455, 454, 7884, 2080, 267, 2387, 339, 28804, 319, 543, 2387, 339, 26174, 319, 2099, 519, 5934, 543, 5021, 942, 2798, 585, 938, 11191, 267, 6606, 269, 2387, 323, 319, 568, 519, 10155, 540, 519, 1533, 2230, 267, 799, 538, 713, 2013, 568, 519, 1297, 540, 1719, 3928, 649, 786, 581, 9781, 269, 2387, 343, 28804, 319, 543, 2387, 343, 26174, 319, 616, 519, 5934, 543, 5021, 2418, 585, 519, 1719, 3928, 267, 6606, 269, 2387, 333, 319, 568, 519, 1297, 540, 942, 2798, 649, 786, 946, 538, 938, 11191, 269, 2387, 12978, 319, 568, 519, 1611, 10941, 542, 3432, 267, 799, 11887, 875, 3533, 519, 1719, 3928, 786, 556, 3200, 547, 741, 1279, 3856, 3328, 269, 7053, 267, 2387, 6233, 318, 2017, 557, 319, 568, 606, 5044, 540, 1719, 3928, 602, 649, 786, 946, 547, 26215, 622, 938, 2203, 780, 9202, 267, 649, 786, 1711, 513, 1599, 602, 12958, 513, 7470, 540, 942, 2798, 585, 938, 11191, 1384, 3499, 7090, 454, 339, 318, 19066, 815, 5286, 7456, 1231, 10628, 6025, 28804, 267, 512, 26174, 267, 562, 994, 7884, 1607, 1599, 3096, 519, 17877, 2387, 331, 1231, 10628, 319, 1599, 547, 5352, 606, 5044, 540, 2387, 333, 319, 14961, 22274, 942, 2798, 1063, 2387, 339, 28804, 319, 543, 2387, 339, 26174, 27471, 3086, 1577, 781, 1711, 513, 1362, 602, 4564, 938, 32094, 1184, 1384, 3499, 7090, 454, 5035, 1744, 26661, 26222, 14157, 12546, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 546, 267, 1535, 28804, 267, 1535, 26174, 267, 943, 328, 267, 29178, 267, 12498, 267, 3928, 318, 2017, 557, 2187, 1038, 1582, 6155, 815, 546, 454, 1038, 1582, 11859, 28804, 815, 1535, 28804, 454, 1038, 1582, 11859, 26174, 815, 1535, 26174, 454, 1038, 1582, 269, 12978, 815, 943, 328, 454, 1038, 1582, 4732, 7950, 815, 29178, 454, 1038, 1582, 12500, 9508, 815, 12498, 454, 1038, 1582, 269, 6233, 318, 2017, 557, 815, 3928, 318, 2017, 557, 454, 1038, 1582, 11859, 271, 815, 7183, 454, 1038, 1582, 6745, 4973, 318, 4134, 12248, 539, 14067, 27181, 17624, 1716, 1564, 815, 31460, 1038, 1582, 6745, 4973, 5091, 337, 3424, 318, 611 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2647, 3099, 540, 13417, 19099, 1239, 2010, 543, 2959, 267, 1247, 1239, 16292, 17346, 616, 20979, 585, 13214, 532, 543, 8989, 593, 11295, 1239, 269, 4578, 544, 11301, 616, 2966, 547, 1683, 5059, 267, 4143, 1239, 547, 1808, 1870, 3252, 1369, 606, 3919, 269, 1635, 1620, 519, 3604, 1063, 891, 3435, 267, 3906, 666, 3442, 519, 835, 602, 1655, 10742, 741, 1808, 2115, 563, 18794, 519, 4578, 9453, 519, 23422, 7420, 2221, 543, 3605, 875, 547, 3927, 4383, 707, 1239, 609, 519, 1318, 2645, 543, 2553, 269, 6178, 909, 1631, 547, 1451, 811, 543, 1491, 707, 1239, 2359, 1983, 547, 519, 1985, 1377, 269, 1635, 11264, 713, 4161, 596, 786, 849, 7118, 606, 20211, 1228, 8672, 799, 786, 1491, 596, 835, 1900, 6251, 547, 930, 15813, 5616, 13192, 4210, 4711, 256, 0, 763, 2817, 11272, 27990, 19541, 630, 20911, 9654, 264, 568, 513, 1982, 602, 6663, 547, 2333, 519, 10073, 540, 3167, 6472, 630, 14110, 338, 264, 538, 519, 2136, 2276, 676, 3384, 12123, 5989, 543, 5009, 7082, 4656, 269, 1306, 851, 540, 713, 4674, 267, 519, 17252, 9654, 1982, 814, 13175, 547, 7520, 519, 5137, 540, 513, 3060, 540, 12123, 10473, 2066, 519, 2197, 547, 1489, 519, 3395, 1297, 540, 12601, 338, 593, 519, 4155, 269, 769, 713, 5816, 267, 649, 786, 1865, 875, 519, 17252, 9654, 1982, 1568, 585, 3167, 6174, 12123, 543, 922, 1764, 593, 519, 12601, 2344, 563, 2419, 1173, 532, 24486, 4886, 454, 763, 17252, 9654, 1982, 568, 5059, 593, 519, 1646, 540, 12123, 5989, 267, 799, 568, 2565, 585, 519, 7839, 10073, 540, 12601, 338, 269, 634, 1982, 7028, 519, 10380, 540, 1114, 2010, 540, 12123, 10473, 267, 1519, 5426, 476, 272, 267, 5426, 476, 273, 267, 543, 9823, 3728, 5056, 619, 269, 5426, 476, 272, 5056, 619, 616, 3335, 1031, 693, 1753, 610, 960, 267, 543, 789, 666, 1683, 513, 2407, 5279, 547, 606, 12601, 538, 827, 476, 1321, 268, 736, 3108, 269, 5426, 476, 273, 5056, 619, 616, 5488, 543, 666, 1683, 513, 2407, 5279, 538, 476, 276, 268, 1015, 3108, 269, 9823, 3728, 5056, 619, 616, 2943, 3728, 543, 666, 1683, 513, 2407, 5279, 538, 827, 476, 1789, 268, 2568, 3764, 563, 763, 17252, 9654, 1982, 729, 5097, 2919, 547, 1489, 519, 1646, 540, 12123, 23725, 832, 267, 799, 616, 21018, 540, 19814, 609, 513, 3126, 540, 12123, 10473, 269, 1452, 23725, 832, 616, 2966, 547, 948, 12601, 10256, 2951, 3476, 9883, 1510, 20468, 827, 4881, 856, 540, 1379, 269, 1306, 540, 476, 1708, 272, 267, 972, 616, 936, 476, 9873, 267, 1822, 1857, 12123, 16788, 538, 519, 2136, 2276, 267, 609, 4566, 547, 3888, 811, 538, 519, 4947, 1296, 563, 23220, 7627, 19901, 17607, 454, 1103, 1840, 547, 3384, 12123, 5989, 267, 519, 17252, 9654, 1982, 568, 849, 5059, 593, 5009, 7082, 4656, 827, 12601, 338, 269, 634, 1982, 2488, 2069, 543, 23793, 547, 6800, 267, 1519, 1344, 827, 519, 2640, 540, 12601, 338, 267, 2139, 15314, 267, 543, 875, 547, 3442, 519, 1318, 6174, 585, 741, 2115, 269, 634, 17252, 9654, 1982, 849, 1568, 609, 8639, 267, 971, 607, 3678, 5474, 267, 20848, 267, 543, 2229, 8041, 267, 547, 1020, 543, 2936, 2994, 547, 2333, 12601, 10073, 563, 25842, 593, 519, 12601, 10369, 454, 763, 17252, 9654, 1982, 814, 1185, 513, 1713, 1764, 593, 519, 12601, 2344, 538, 519, 2136, 2276, 269, 634, 1982, 568, 4543, 547, 2333, 519, 1297, 540, 12123, 10473, 267, 1818, 621, 4443, 585, 12601, 10256, 547, 2951, 3476, 9883, 269, 901, 814, 5280, 547, 2232, 835, 540, 519, 1292, 4145, 540, 1761, 12601, 18046, 1107, 2039, 4160, 269, 1306, 513, 1267, 267, 519, 12601, 2344, 814, 6738, 3648, 538, 2487, 1296, 269, 769, 476, 1708, 272, 267, 6455, 540, 12601, 338, 538, 519, 2136, 2276, 6603, 513, 2594, 1164, 267, 609, 936, 476, 10384, 267, 1822, 6472, 4421, 563, 1103, 3932, 267, 519, 2817, 11272, 27990, 19541, 630, 20911, 9654, 264, 1982, 568, 606, 1271, 4674, 547, 2333, 519, 10073, 540, 3167, 6472, 538, 519, 2136, 2276, 269, 634, 1982, 568, 5059, 593, 519, 1646, 540, 12123, 5989, 543, 5009, 7082, 4656, 269, 2060, 936, 476, 9873, 267, 1822, 1857, 12123, 16788, 538, 519, 2197, 543, 3395, 7082, 1719, 538, 12601, 338, 267, 519, 17252, 9654, 1982, 568, 4543, 547, 17362, 519, 1259, 585, 513, 811, 4264, 2104, 269, 10738, 519, 5063, 5293, 5606, 3175, 22159, 2920, 630, 296, 6938, 264, 3915, 267, 519, 8549, 6554, 814, 8149, 1269, 276, 5479, 538, 15314, 585, 12601, 932, 24147, 10380, 2066, 519, 2197, 269, 2755, 519, 17252, 9654, 24539, 1982, 814, 711, 1044, 4628, 968, 9776, 856, 892, 538, 782, 519, 2829, 2943, 267, 1142, 1533, 568, 735, 4979, 741, 1378, 3853, 543, 24539, 3889, 267, 609, 519, 2832, 547, 5305, 4808, 547, 4309, 891, 15314, 676, 519, 1439, 540, 476, 1708, 274, 269, 4495, 891, 7482, 2253, 547, 1118, 741, 1259, 5196, 519, 2344, 267, 649, 2503, 891, 7482, 547, 17108, 519, 10073, 540, 12601, 932, 1173, 619, 18487, 269, 0, 22826, 1434, 5711, 6208, 547, 707, 1126, 568, 513, 4105, 1072, 3992, 563, 1607, 2882, 4543, 873, 11453, 741, 4522, 7466, 513, 1554, 267, 12145, 24494, 16152, 1063, 6980, 267, 543, 20319, 2834, 5959, 18362, 563, 2171, 4363, 602, 1453, 1058, 723, 741, 1101, 5959, 3643, 676, 519, 2085, 540, 1079, 269, 901, 3643, 2488, 606, 4316, 585, 519, 4387, 547, 6895, 707, 1126, 779, 5959, 2208, 543, 1646, 267, 607, 1134, 607, 13599, 596, 827, 5694, 1646, 267, 519, 2956, 540, 21973, 267, 875, 547, 2226, 1697, 5711, 9882, 267, 543, 875, 547, 2232, 5711, 6208, 971, 607, 31390, 8595, 946, 563, 2791, 666, 1451, 827, 2732, 543, 6484, 543, 875, 547, 2061, 5711, 7063, 269, 11408, 6655, 513, 2318, 10182, 2509, 5959, 11564, 547, 707, 1126, 267, 3746, 2358, 519, 2956, 540, 4509, 1434, 5711, 1072, 269, 1635, 3257, 865, 267, 596, 666, 2333, 519, 10171, 602, 707, 1126, 786, 3136, 547, 1294, 513, 11290, 5781, 2429, 741, 1272, 269, 0, 10303, 540, 741, 7347, 5920, 267, 11149, 616, 1419, 2808, 7938, 1752, 344, 543, 5230, 563, 5415, 9897, 267, 13123, 543, 7841, 1811, 616, 711, 519, 3070, 269, 898, 568, 811, 24534, 547, 1732, 3351, 1047, 519, 4540, 5989, 269, 1635, 24317, 811, 609, 1447, 5322, 543, 676, 15175, 24672, 1063, 7841, 267, 4155, 543, 1216, 269, 23985, 602, 22587, 547, 1312, 19057, 543, 1098, 327, 26802, 267, 855, 849, 513, 2797, 543, 1514, 6662, 269, 2060, 2101, 8739, 20300, 5383, 543, 2825, 2640, 563, 2005, 568, 711, 1510, 2601, 602, 519, 3560, 2872, 814, 1044, 10478, 585, 606, 954, 7116, 531, 3560, 1770, 585, 5756, 269, 589, 2413, 3560, 1062, 609, 4264, 2640, 585, 782, 6105, 3238, 269, 1656, 602, 7028, 513, 3560, 3060, 602, 18715, 4398, 282, 538, 2474, 540, 1942, 267, 519, 1604, 543, 519, 7569, 1500, 540, 519, 5989, 563, 1103, 2487, 1296, 713, 7678, 814, 1044, 9244, 9415, 676, 519, 3864, 5742, 269, 634, 476, 3393, 1111, 1523, 568, 519, 2626, 547, 519, 16858, 540, 519, 3864, 5742, 267, 519, 2344, 543, 1585, 2825, 2962, 2516, 269, 634, 476, 3393, 1111, 1523, 849, 3217, 5021, 5413, 540, 3864, 9086, 563, 288, 3677, 18535, 2230, 630, 1556, 269, 1839, 260, 538, 2698, 982, 922, 476, 2412, 1111, 6697, 264, 5916, 609, 513, 17426, 8708, 1523, 18715, 7864, 5322, 267, 4389, 2825, 1764, 543, 2539, 4492, 4616, 563, 763, 476, 3393, 1111, 8708, 666, 581, 17411, 609, 519, 1482, 5989, 630, 4944, 1348, 619, 267, 4395, 331, 604, 1562, 267, 2269, 9536, 548, 19057, 267, 3092, 4700, 607, 1031, 585, 476, 2412, 1111, 11149, 563, 24965, 794, 540, 519, 12539, 11640, 7584, 1164, 593, 519, 16786, 540, 1082, 24317, 3549, 0, 763, 1101, 1448, 540, 4168, 2219, 543, 2259, 568, 547, 1174, 519, 2474, 281, 4984, 267, 3661, 267, 5132, 267, 543, 17035, 269, 15215, 267, 4016, 547, 519, 21689, 1871, 1995, 2853, 543, 4978, 540, 519, 2146, 269, 634, 2542, 6257, 3661, 607, 513, 14820, 602, 1945, 568, 3020, 2523, 1945, 602, 1223, 2760, 454, 763, 7503, 540, 4790, 14932, 5129, 513, 1713, 1909, 538, 513, 3099, 540, 2081, 1369, 519, 1686, 5939, 540, 519, 5783, 269, 1306, 971, 267, 930, 540, 519, 811, 7986, 3283, 786, 581, 5941, 23954, 269, 3689, 267, 519, 5783, 6410, 689, 3297, 519, 1225, 1555, 547, 4099, 3942, 540, 2528, 543, 1686, 269, 13405, 547, 4790, 14932, 779, 7503, 267, 8567, 11124, 14831, 3585, 693, 519, 3946, 540, 519, 4936, 7276, 1419, 1317, 789, 941, 2938, 607, 968, 7752, 626, 892, 543, 538, 11685, 547, 519, 2757, 543, 32219, 4936, 2081, 269, 1717, 267, 998, 519, 7503, 540, 4790, 14932, 267, 8567, 729, 711, 3476, 2808, 519, 4984, 540, 519, 856, 4751, 543, 796, 14445, 730, 269, 3767, 267, 1282, 519, 12081, 540, 4790, 14932, 621, 729, 782, 855, 519, 4013, 4984, 540, 519, 4936, 7276, 267, 543, 1256, 930, 1296, 2663, 621, 2968, 519, 4013, 4984, 540, 519, 10504, 896, 519, 12081, 540, 23323, 657, 3780, 269, 10271, 3459, 547, 581, 5116, 538, 7158, 540, 6392, 543, 8956, 269, 769, 2490, 267, 972, 729, 606, 2810, 2463, 585, 519, 2899, 9011, 3042, 4984, 269, 5822, 267, 543, 5702, 28330, 267, 1813, 547, 519, 2673, 2078, 540, 5783, 543, 3557, 267, 8567, 1131, 1847, 689, 513, 1747, 540, 30201, 3176, 543, 6710, 547, 513, 1747, 540, 6392, 543, 5763, 267, 1256, 267, 8909, 569, 267, 693, 2053, 30201, 5024, 1866, 269, 16828, 267, 713, 27503, 454, 13051, 577, 5658, 910, 20227, 12708, 338, 8567, 568, 513, 634, 1143, 23381, 602, 6212, 593, 519, 3661, 538, 835, 2123, 543, 22228, 2696, 602, 2813, 782, 602, 6818, 630, 295, 3796, 267, 1299, 8055, 267, 476, 1001, 276, 1040, 2696, 2813, 812, 538, 1010, 6010, 8864, 547, 1416, 585, 782, 602, 814, 1044, 2813, 267, 547, 917, 543, 10847, 2696, 267, 543, 547, 2648, 543, 23491, 2696, 630, 11795, 5674, 267, 476, 1001, 276, 1040, 2494, 568, 547, 4341, 543, 723, 2531, 514, 542, 936, 519, 3618, 267, 581, 4829, 995, 543, 9062, 267, 11423, 519, 3618, 630, 7049, 8412, 476, 272, 281, 2764, 1040, 10271, 7048, 593, 519, 1489, 540, 519, 10513, 6426, 547, 3391, 873, 538, 519, 2262, 540, 2696, 269, 634, 6426, 2874, 540, 2185, 2596, 6411, 267, 519, 20520, 267, 519, 12096, 540, 5274, 640, 267, 4414, 18277, 267, 543, 26198, 630, 11795, 5674, 267, 476, 1001, 276, 1040, 10271, 3494, 602, 2696, 2366, 1010, 1152, 12312, 547, 5884, 593, 519, 3444, 585, 741, 20778, 269, 769, 713, 1957, 786, 581, 513, 1445, 593, 519, 4168, 23381, 7234, 2696, 267, 8103, 267, 4906, 2676, 288, 1749, 547, 519, 12618, 540, 8567, 538, 519, 4936, 7276, 769, 519, 4936, 31511, 1141, 519, 11342, 10847, 540, 4936, 10971, 941, 791, 5966, 543, 1705, 711, 1683, 513, 5837, 3490, 610, 513, 5048, 540, 4126, 267, 538, 519, 8772, 2540, 8567, 729, 4646, 267, 4535, 607, 513, 3350, 1369, 17194, 269, 8567, 15091, 519, 454, 22146, 640, 3459, 922, 19588, 883, 519, 1034, 8789, 5001, 4984, 1310, 4906, 685, 16961, 32267, 542, 543, 24446, 269, 968, 2171, 4862, 13924, 2161, 267, 2048, 296, 786, 6861, 713, 11454, 1500, 609, 3946, 267, 543, 1369, 1614, 2395, 1628, 1776, 1500, 1510, 3946, 1848, 16270, 4906, 685, 2669, 543, 24446, 267, 646, 6192, 713, 4305, 4259, 8521, 519, 1646, 540, 8567, 269, 4595, 4906, 2451, 1100, 6101, 22265, 1379, 267, 3919, 267, 610, 8815, 2390, 30920, 267, 513, 2647, 3099, 540, 3392, 338, 6591, 8560, 538, 519, 1646, 540, 8567, 269, 4107, 540, 891, 3392, 338, 941, 2663, 16363, 607, 1934, 6776, 267, 835, 540, 519, 1034, 8037, 1373, 717, 333, 739, 6291, 269, 717, 333, 739, 6291, 729, 513, 12242, 626, 4984, 18468, 519, 1570, 1158, 9409, 543, 519, 15865, 6891, 7706, 1434, 269, 901, 3661, 8078, 730, 717, 333, 739, 6291, 547, 1246, 9022, 2045, 12496, 269, 9022, 564, 1143, 568, 519, 3661, 602, 4906, 729, 2760, 5963, 812, 855, 2864, 513, 10143, 689, 519, 6891, 1158, 269, 2353, 3029, 540, 8567, 267, 2705, 267, 3494, 4906, 568, 5067, 540, 2696, 2366, 607, 8103, 779, 5260, 1640, 689, 2481, 31766, 269, 9022, 564, 1143, 267, 2059, 609, 824, 3344, 540, 717, 333, 739, 6291, 267, 22755, 824, 10271, 18149, 333, 717, 333, 739, 6291, 607, 646, 637, 344, 269, 717, 333, 739, 6291, 267, 2705, 267, 568, 811, 13380, 547, 32588, 673, 10271 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2488, 519, 16311, 1218, 609, 8216, 5955, 267, 1312, 2318, 543, 2942, 267, 547, 948, 873, 2087, 538, 1483, 6066, 780, 274, 269, 5304, 3310, 281, 1514, 2923, 814, 2016, 519, 5304, 513, 575, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 563, 268, 16992, 543, 5188, 281, 1711, 12300, 3197, 945, 4497, 538, 6209, 7391, 267, 4543, 547, 2491, 543, 2263, 519, 2257, 2035, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 269, 0, 3848, 7170, 281, 28763, 4472, 2065, 29526, 538, 9085, 281, 1133, 24286, 3733, 560, 673, 6399, 902, 692, 7072, 912, 5970, 596, 2479, 1224, 513, 1433, 602, 1500, 596, 1745, 899, 972, 941, 6456, 6835, 1063, 519, 3515, 286, 5620, 596, 2479, 9289, 952, 4589, 946, 6698, 610, 9479, 547, 6655, 4514, 10096, 538, 741, 2984, 286, 4270, 267, 789, 798, 256, 1656, 835, 971, 1505, 2501, 689, 606, 3504, 2245, 1572, 28763, 4472, 1695, 269, 4653, 267, 649, 786, 2263, 713, 12357, 1158, 540, 13513, 543, 1294, 875, 621, 814, 6766, 3332, 2429, 1686, 269, 1924, 10544, 707, 3206, 22970, 267, 543, 1577, 781, 4685, 883, 519, 4241, 7706, 540, 28763, 4472, 2065, 29526, 2439, 4089, 476, 272, 281, 1548, 568, 28763, 4472, 1695, 888, 298, 629, 4472, 1695, 630, 29455, 737, 7795, 1532, 1695, 268, 1663, 327, 264, 568, 513, 25386, 6014, 2245, 602, 13290, 547, 1174, 519, 2470, 540, 2696, 543, 519, 7122, 676, 4974, 10723, 5931, 269, 898, 781, 513, 3787, 899, 6061, 513, 11015, 282, 28763, 4472, 1235, 3494, 602, 1169, 2262, 267, 4484, 267, 543, 1256, 18685, 1665, 3568, 10143, 7326, 7996, 547, 581, 4362, 269, 1635, 6313, 891, 3877, 5702, 267, 3988, 666, 10625, 6106, 540, 2495, 3564, 519, 21055, 1257, 269, 15346, 267, 1318, 31841, 4089, 476, 273, 281, 28763, 4472, 2065, 10326, 540, 5020, 454, 288, 1713, 1523, 538, 28763, 4472, 1695, 568, 519, 834, 21698, 540, 5020, 2437, 799, 4564, 519, 2497, 540, 519, 7122, 543, 938, 20339, 269, 901, 3529, 5161, 540, 4557, 10562, 21384, 630, 21406, 694, 25206, 8527, 1070, 1142, 609, 2189, 7907, 602, 948, 721, 1732, 10146, 6000, 543, 519, 1158, 1472, 721, 269, 1452, 21384, 616, 4448, 676, 10092, 4904, 609, 1648, 267, 1175, 899, 5348, 22663, 20590, 538, 707, 2634, 256, 2913, 781, 4952, 891, 21384, 607, 5820, 538, 513, 11600, 1107, 950, 5916, 21176, 267, 789, 3132, 1945, 8949, 1572, 1620, 269, 962, 636, 2439, 4089, 476, 274, 281, 5463, 5317, 29526, 538, 12267, 454, 3086, 602, 649, 917, 827, 28763, 4472, 1695, 1577, 781, 3605, 875, 4589, 946, 922, 10752, 547, 1039, 3178, 547, 741, 6386, 269, 1358, 1522, 6451, 2609, 540, 519, 10326, 540, 5020, 1369, 3197, 267, 5468, 267, 610, 4729, 6050, 269, 1280, 3236, 267, 513, 1915, 949, 18220, 3344, 540, 2789, 694, 25206, 8527, 267, 10452, 741, 1950, 7209, 7592, 269, 2107, 5310, 513, 1650, 4652, 9529, 2059, 519, 11444, 8220, 519, 694, 25206, 8527, 267, 13031, 513, 3460, 2509, 1582, 22523, 610, 21481, 780, 7078, 5384, 2336, 5331, 2542, 513, 3209, 1141, 519, 16502, 2377, 10225, 593, 513, 2168, 1391, 2066, 1585, 3338, 1247, 8195, 18460, 3929, 2208, 269, 3962, 4087, 1223, 2099, 513, 12106, 593, 519, 28763, 4472, 2065, 10326, 540, 5020, 267, 29544, 3982, 5933, 538, 1312, 741, 5007, 7045, 543, 4835, 7004, 269, 1215, 3579, 1131, 621, 581, 547, 1246, 2059, 607, 789, 18214, 20733, 998, 2591, 267, 11543, 1007, 4030, 693, 1142, 1900, 2394, 8757, 519, 10700, 3804, 1107, 9322, 609, 519, 10143, 2496, 6962, 912, 3528, 3695, 28763, 4472, 2065, 29526, 267, 596, 1631, 723, 1776, 1907, 547, 21264, 5339, 1568, 811, 7184, 982, 1354, 269, 3807, 3314, 602, 30196, 891, 11580, 3217, 2259, 543, 9639, 269, 5901, 606, 3750, 856, 585, 18596, 4798, 267, 3270, 267, 610, 2338, 538, 2835, 267, 607, 789, 1522, 3180, 10881, 547, 6456, 10096, 269, 8414, 2542, 267, 3713, 1161, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 8056, 580, 7949, 28881, 454, 15933, 267, 23532, 640, 267, 543, 4144, 23159, 454, 309, 643, 1014, 715, 684, 8065, 528, 534, 454, 299, 25604, 14473, 595, 6020, 12087, 26113, 1315, 4937, 700, 25604, 14473, 595, 6020, 12087, 26113, 1315, 3979, 700, 25604, 14473, 595, 6020, 12087, 26113, 1315, 1977, 1315, 3979, 12677, 700, 25604, 14473, 595, 6020, 12087, 26113, 1315, 1977, 1315, 7489, 1977, 700, 25604, 14473, 595, 6020, 12087, 26113, 1315, 1977, 1315, 17104, 1977, 700, 25604, 14473, 595, 6020, 12087, 26113, 1315, 7489, 1315, 4457, 700, 25604, 14473, 595, 6020, 12087, 26113, 1315, 7489, 1315, 5545, 700, 25604, 14473, 595, 6020, 12087, 26113, 1315, 7489, 1315, 4937, 700, 25604, 14473, 595, 6020, 12087, 26113, 1315, 7489, 1315, 25824, 700, 25604, 14473, 595, 6020, 12087, 26113, 1315, 12144, 1299, 5824, 1977, 700, 25604, 14473, 595, 6020, 12087, 26113, 1315, 3864, 1315, 4937, 700, 25604, 14473, 595, 6020, 12087, 26113, 1315, 6014, 700, 25604, 14473, 595, 6020, 12087, 26113, 1315, 6739, 1299, 4813, 518, 8168, 5742, 700, 25604, 14473, 595, 6020, 12087, 26113, 1315, 5664, 8109, 454, 7277, 6032, 269, 476, 277, 343, 280, 454, 259, 3066, 269, 4817, 1957, 476, 7818, 268, 271, 268, 279, 1691, 273, 268, 276, 2918, 278, 268, 274, 454, 259, 3066, 269, 4817, 7300, 26496, 476, 7818, 268, 271, 268, 279, 1691, 273, 268, 278, 4510, 276, 268, 274, 454, 24576, 7300, 26496, 454, 4537, 25891, 14295, 27491, 454, 18800, 270, 27087, 19255, 4771, 14295, 1299, 6744, 13050, 454, 10527, 8056, 580, 7949, 28881, 6770, 1927, 5931, 689, 5830, 4947, 856, 540, 1114, 19366, 5389, 267, 543, 922, 3350, 998, 519, 3584, 8151, 689, 11776, 547, 21939, 547, 1163, 27074, 566, 5433, 3501, 547, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 298, 629, 4472, 2065, 29526, 257, 607, 851, 540, 834, 299, 25604, 14473, 595, 6020, 12087, 26113, 1315, 6014, 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, 6092, 5149, 281, 6555, 1588, 910, 1133, 24286, 31981, 540, 519, 8892, 692, 5970, 596, 2479, 9289, 952, 972, 781, 513, 1259, 547, 917, 1018, 6013, 6619, 286, 10801, 1686, 267, 1004, 782, 1472, 519, 1158, 723, 6836, 547, 1265, 4267, 547, 741, 2055, 827, 519, 2104, 998, 1585, 2409, 267, 835, 540, 799, 568, 2820, 1588, 269, 2913, 781, 7832, 593, 513, 3460, 547, 3605, 875, 3504, 4457, 10340, 13736, 2820, 1588, 2439, 1432, 568, 6555, 1588, 888, 2411, 21387, 5331, 1373, 2111, 547, 3589, 519, 2104, 676, 16208, 4191, 543, 6698, 1107, 602, 779, 1018, 2820, 1588, 568, 782, 827, 256, 4658, 1131, 946, 1114, 2645, 899, 7633, 267, 10007, 267, 610, 1256, 14854, 16115, 547, 4309, 6835, 689, 14326, 610, 10971, 945, 4371, 519, 11580, 540, 14182, 269, 1452, 25386, 2853, 941, 5156, 547, 1683, 5583, 543, 948, 2043, 6330, 1272, 781, 2591, 543, 3664, 780, 1692, 9894, 9147, 4457, 6657, 6555, 1588, 888, 14343, 21387, 3080, 4241, 1383, 2501, 689, 2038, 3624, 267, 1282, 519, 1744, 836, 19092, 630, 19925, 476, 8182, 271, 1700, 10441, 277, 7460, 1070, 950, 18840, 5505, 4362, 1945, 6909, 269, 1358, 20114, 13742, 971, 607, 3404, 1085, 777, 10358, 630, 29019, 518, 19059, 264, 543, 14854, 726, 770, 6425, 630, 321, 18847, 16115, 264, 609, 9490, 24795, 1500, 1210, 3595, 269, 1548, 1223, 891, 7654, 1611, 2496, 4322, 7436, 616, 2965, 5638, 540, 2820, 1588, 7886, 256, 1635, 7311, 3002, 547, 1808, 2798, 593, 891, 3662, 2694, 267, 18015, 1131, 2408, 267, 8108, 2189, 3270, 269, 4787, 2683, 2820, 29794, 1287, 6594, 1346, 3270, 267, 5275, 7326, 543, 1620, 827, 3871, 789, 5185, 269, 901, 1505, 267, 1634, 607, 7510, 668, 3599, 267, 5280, 873, 1451, 811, 827, 13137, 2994, 267, 3771, 341, 3949, 267, 610, 824, 1713, 2621, 780, 3719, 7227, 267, 938, 3408, 3085, 1405, 3247, 1934, 256, 1703, 781, 1776, 10578, 1650, 827, 594, 932, 532, 267, 849, 1634, 607, 519, 3883, 540, 15448, 267, 799, 2968, 606, 1898, 3391, 585, 1082, 5481, 269, 898, 3568, 476, 5038, 15279, 22329, 1765, 338, 1460, 3515, 2901, 7745, 610, 4396, 267, 30528, 1079, 2390, 1142, 824, 269, 1215, 798, 649, 1224, 873, 286, 4270, 267, 1175, 899, 12902, 18062, 267, 596, 666, 5352, 4351, 2338, 610, 1899, 10659, 547, 1711, 707, 10531, 15279, 8183, 269, 3962, 4999, 6585, 922, 1378, 2495, 543, 7664, 267, 5356, 4030, 883, 3309, 3344, 540, 1480, 6228, 780, 3963, 9701, 1284, 5530, 6555, 1588, 4653, 888, 5785, 19030, 4407, 930, 949, 8044, 2436, 2820, 1588, 5963, 8761, 519, 2104, 267, 1565, 827, 891, 3140, 2853, 3947, 721, 3407, 5813, 883, 875, 3425, 8179, 1702, 1354, 2257, 3576, 4099, 3942, 269, 3958, 267, 3695, 2686, 4978, 543, 5389, 2636, 721, 547, 5660, 4763, 543, 11942, 6568, 2509, 1866, 269, 1656, 1577, 781, 16153, 621, 282, 3884, 1405, 621, 1187, 547, 4952, 11523, 1782, 11642, 27283, 12357, 6698, 1247, 6947, 547, 26866, 619, 540, 1279, 16519, 326, 13516, 2984, 2496, 1103, 3932, 267, 18167, 883, 519, 7706, 540, 2820, 1588, 3091, 721, 513, 19214, 883, 8103, 781, 1391, 585, 1620, 543, 4276, 2429, 942, 269, 1924, 1985, 942, 596, 7237, 14542, 9821, 610, 5389, 267, 3314, 602, 1169, 2528, 11438, 922, 1378, 1305, 540, 13655, 7996, 547, 581, 8268, 2439, 8002, 8481, 912, 1366, 7042, 265, 8073, 707, 1360, 1378, 2241, 2820, 1588, 1907, 693, 1753, 1210, 1957, 29578, 610, 11113, 269, 25849, 2418, 543, 4612, 741, 10659, 1759, 593, 4798, 4143, 547, 707, 3232, 1272, 267, 971, 607, 7446, 1063, 2238, 610, 1818, 1507, 3664, 563, 265, 3194, 824, 3029, 540, 2820, 1588, 2066, 1114, 4529, 543, 5635, 741, 10486, 543, 3604, 269, 9181, 1946, 1978, 3615, 610, 3157, 1522, 3180, 12572, 4644, 1369, 1880, 7239, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21202, 5618, 1686, 540, 4457, 634, 8427, 7136, 720, 454, 763, 476, 277, 23046, 16319, 454, 291, 7776, 626, 10326, 25990, 454, 304, 580, 784, 543, 25990, 454, 763, 3163, 540, 519, 476, 7367, 21998, 454, 288, 16684, 3778, 540, 4457, 634, 8427, 7136, 720, 454, 3528, 15623, 16019, 267, 700, 6993, 322, 563, 763, 9354, 18552, 7936, 540, 2757, 4457, 4915, 568, 1572, 834, 14654, 2088, 257, 538, 2413, 4457, 267, 799, 12777, 1797, 834, 335, 5241, 630, 663, 264, 30230, 4771, 1701, 1717, 267, 713, 2165, 1705, 711, 2049, 538, 519, 4457, 3332, 2394, 519, 30721, 15913, 630, 15793, 279, 268, 13932, 275, 264, 1141, 621, 1101, 7902, 538, 513, 1433, 593, 12963, 8913, 2088, 630, 320, 7463, 7936, 1422, 1993, 4457, 18552, 1040, 13405, 547, 713, 1974, 267, 519, 1034, 2442, 2165, 585, 9354, 18552, 729, 834, 534, 15879, 257, 799, 12777, 1797, 834, 335, 7675, 630, 663, 264, 27012, 4799, 2304, 15879, 814, 5129, 606, 1271, 1909, 538, 519, 2259, 540, 4915, 538, 3624, 2094, 3504, 2053, 269, 1488, 3832, 5505, 267, 4974, 519, 1202, 18587, 1336, 593, 7633, 543, 12475, 18857, 16115, 1031, 538, 2820, 1588, 2259, 267, 723, 1336, 8100, 547, 18552, 2126, 585, 10108, 2854, 538, 795, 328, 16331, 30591, 267, 519, 9998, 31607, 1106, 540, 1603, 538, 3624, 267, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 19667, 1588, 257, 607, 851, 540, 834, 289, 7495, 312, 267, 631, 18853, 1299, 9501, 7644, 3951, 1315, 12769, 738, 1143, 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 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1631, 269, 9894, 596, 917, 789, 4769, 1405, 723, 1082, 2924, 3379, 547, 2367, 286, 1358, 7948, 1405, 1256, 8917, 2439, 7692, 281, 26272, 267, 2731, 286, 2334, 1590, 723, 1044, 9157, 269, 1924, 1018, 1705, 789, 798, 952, 789, 7948, 1405, 960, 610, 1118, 741, 1378, 5079, 2496, 8334, 281, 3509, 540, 873, 3893, 9310, 1762, 543, 2968, 4630, 655, 5474, 267, 3168, 1310, 741, 8152, 27512, 543, 3214, 269, 1809, 930, 1869, 1336, 2081, 547, 2769, 2933, 998, 6752, 267, 899, 9849, 4190, 14446, 2439, 7692, 281, 13259, 9811, 267, 14446, 256, 12984, 333, 1405, 602, 513, 2462, 4308, 1282, 519, 16972, 16527, 286, 3733, 3158, 14560, 10655, 25447, 4773, 2439, 8334, 281, 25999, 256, 1656, 1934, 781, 1141, 621, 4991, 811, 3078, 269, 4438, 713, 942, 267, 13049, 619, 3323, 2870, 1035, 549, 10973, 14446, 1765, 4777, 596, 917, 1018, 602, 1797, 2496, 7692, 281, 3143, 2856, 267, 2995, 803, 811, 2439, 8334, 281, 28514, 256, 1924, 267, 1035, 549, 10973, 14446, 814, 17576, 18429, 11231, 538, 971, 513, 1259, 602, 789, 1106, 1913, 610, 2453, 950, 1224, 538, 1931, 1210, 519, 1101, 4484, 540, 1142, 6149, 269, 1280, 3236, 267, 16692, 2752, 1522, 581, 6719, 676, 14776, 267, 900, 14283, 267, 993, 996, 22438, 267, 543, 6299, 344, 269, 27355, 1405, 602, 3579, 2496, 7692, 281, 5808, 320, 256, 2334, 4992, 899, 513, 5728, 3009, 1175, 585, 21031, 256, 1215, 1131, 2576, 4137, 602, 856, 1498, 286, 6145, 267, 952, 789, 4718, 2576, 9849, 971, 513, 4062, 2496, 8334, 281, 6153, 2243, 256, 7982, 1287, 267, 6616, 827, 21889, 543, 10007, 1131, 948, 269, 27009, 267, 649, 666, 1382, 2228, 610, 2307, 4966, 269, 23657, 1259, 267, 621, 2982, 721, 875, 3860, 1004, 1031, 547, 1205, 1247, 13167, 17960, 2439, 7692, 281, 23010, 267, 2523, 1317, 2021, 1185, 3908, 22624, 6382, 269, 901, 2306, 803, 5660, 1346, 6456, 6835, 3297, 519, 7168, 9925, 1564, 2439, 8334, 281, 22549, 256, 22960, 3884, 1405, 1152, 827, 5654, 282, 3006, 267, 621, 11438, 4514, 10096, 1932, 269, 3807, 4952, 782, 519, 2984, 891, 2025, 16782, 1223, 2671, 2439, 314, 288, 1906, 2395, 2663, 267, 1247, 9683, 513, 4278, 3424, 4558, 1862, 6540, 7692, 281, 6733, 267, 7705, 256, 6744, 856, 713, 1327, 8208, 256, 898, 2186, 320, 19595, 803, 540, 519, 16972, 16527, 8631, 596, 5143, 803, 827, 780, 8334, 281, 2913, 803, 1294, 256, 744, 2129, 267, 621, 1281, 1413, 2147, 256, 1684, 596, 1589, 621, 814, 1022, 2027, 2495, 7923, 547, 621, 2496, 7692, 281, 3502, 2386, 267, 855, 6148, 649, 1223, 2119, 23115, 621, 856, 1927, 256, 9320, 621, 28542, 1945, 856, 899, 707, 1035, 549, 10973, 1383, 780, 8334, 281, 5696, 650, 5050, 2856, 256, 1284, 666, 1376, 676, 7114, 519, 10007, 543, 7487, 952, 789, 1246, 1022, 4806, 269, 1403, 4986, 3116, 267, 1565, 827, 1686, 2141, 7959, 14785, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 23322, 2524, 543, 3778, 540, 853, 7342, 16972, 16527, 4035, 601, 787, 454, 309, 1112, 20187, 16527, 630, 8146, 278, 1107, 476, 5002, 272, 994, 2005, 2693, 4465, 1406, 2097, 607, 513, 8710, 602, 519, 16972, 16527, 568, 3957, 1310, 10348, 15117, 267, 945, 4371, 519, 3703, 17599, 689, 476, 8146, 278, 547, 476, 5002, 272, 269, 5221, 540, 922, 3259, 267, 519, 5736, 568, 3335, 7745, 909, 883, 1614, 5712, 912, 268, 634, 21434, 11270, 630, 8146, 278, 547, 476, 5908, 271, 994, 268, 634, 4400, 16972, 11270, 630, 5908, 271, 547, 476, 6642, 276, 994, 268, 634, 17623, 16972, 11270, 630, 6642, 276, 547, 476, 5002, 272, 994, 305, 558, 4842, 1974, 16972, 14446, 11148, 547, 581, 476, 1240, 737, 541, 520, 4154, 267, 609, 2539, 737, 541, 520, 4154, 14446, 5186, 6137, 909, 1310, 476, 6977, 275, 563, 27269, 950, 1004, 1589, 540, 16972, 268, 5028, 14446, 267, 3357, 657, 616, 519, 1101, 3364, 602, 2501, 547, 2247, 269, 589, 3357, 334, 568, 6149, 20077, 865, 602, 513, 3623, 17924, 8291, 14380, 856, 540, 519, 6149, 269, 2755, 3357, 657, 941, 2442, 1282, 519, 5736, 972, 616, 6266, 540, 824, 3466, 602, 3989, 16972, 2053, 269, 2271, 878, 622, 4154, 6272, 267, 546, 1905, 532, 8405, 331, 2167, 267, 543, 1279, 14969, 1274, 337, 902, 941, 849, 1360, 2442, 563, 15228, 2513, 1143, 281, 3600, 549, 10973, 4035, 601, 787, 454, 5278, 540, 519, 1034, 2189, 4773, 689, 519, 16972, 5736, 616, 12572, 543, 554, 573, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 18131, 781, 22032, 543, 32018, 257, 607, 851, 540, 834, 19615, 1315, 2342, 1315, 4279, 6628, 1315, 16972, 16527, 630, 8146, 278, 268, 5002, 272, 264, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269, 0, 769, 713, 1576, 1770, 267, 649, 5490, 883, 519, 7706, 540, 13834, 543, 12339, 21442, 29576, 607, 621, 25701, 547, 3979, 9085, 267, 1210, 519, 1568, 540, 9565, 19168, 1014, 2278, 543, 15594, 12835, 267, 2549, 320, 2311, 320, 22707, 5622, 269, 1284, 786, 2263, 875, 22707, 5622, 781, 12591, 1683, 7096, 4030, 883, 519, 10848, 543, 2591, 5185, 676, 3979, 2021, 538, 1312, 7810, 543, 2022, 24645, 7239, 780, 20058, 267, 1577, 721, 1174, 1018, 649, 1611, 676, 13834, 543, 12339, 21442, 29576, 269, 901, 7936, 540, 5339, 3069, 6212, 593, 519, 1909, 602, 4008, 4249, 538, 3332, 1107, 875, 2367, 543, 2021, 616, 17814, 267, 519, 1379, 6384, 1063, 873, 267, 543, 875, 891, 11269, 2992, 610, 3337, 6848, 8456, 2509, 4008, 269, 12339, 21442, 9880, 11394, 547, 16616, 6456, 12886, 1996, 2021, 538, 3332, 543, 2528, 1247, 14957, 585, 7862, 543, 4775, 16882, 780, 1103, 22707, 5622, 781, 2013, 267, 1200, 22158, 568, 7184, 12082, 538, 1200, 2833, 3395, 909, 538, 19168, 1282, 922, 5912, 689, 7810, 4341, 547, 7115, 269, 1306, 513, 1762, 8004, 267, 1352, 14754, 20250, 519, 1764, 540, 30013, 3889, 13684, 676, 3935, 9088, 543, 10419, 18050, 676, 2199, 4529, 269, 1452, 2833, 8032, 1200, 5133, 543, 5483, 1200, 3532, 1560, 540, 960, 799, 1419, 7740, 1472, 2178, 267, 1950, 4775, 3197, 10188, 26568, 1949, 780, 3080, 1883, 1523, 30343, 1454, 540, 22707, 5622, 781, 1603, 568, 1412, 5793, 7611, 1275, 8339, 3213, 1441, 676, 3656, 16159, 13690, 828, 331, 2946, 11511, 985, 24849, 538, 476, 2735, 280, 267, 28622, 4016, 547, 519, 10562, 2470, 540, 1514, 11008, 3074, 971, 607, 5198, 267, 1362, 267, 543, 4008, 267, 2870, 20718, 543, 7623, 532, 3029, 540, 7130, 269, 1280, 3236, 267, 1373, 513, 3109, 4807, 1281, 711, 3274, 1611, 6849, 10168, 543, 3023, 1143, 14384, 282, 3079, 267, 789, 2170, 538, 2189, 2081, 6721, 3982, 2010, 540, 19319, 269, 8528, 1607, 2856, 24889, 2429, 22707, 5622, 781, 3209, 834, 2419, 5190, 2580, 1141, 519, 16502, 10507, 328, 12066, 956, 609, 2789, 6106, 540, 3961, 910, 607, 513, 3318, 4807, 267, 513, 7385, 267, 513, 3993, 267, 543, 513, 4759, 540, 513, 1978, 14227, 1362, 269, 3414, 10507, 328, 781, 9620, 267, 22707, 5622, 14550, 875, 891, 9163, 12969, 267, 7586, 4328, 519, 23434, 1352, 8188, 1813, 547, 6848, 6788, 543, 8155, 780, 5194, 2565, 2460, 540, 22707, 5622, 781, 15594, 16472, 6013, 538, 1200, 6514, 540, 1893, 543, 11407, 269, 6145, 1082, 824, 8706, 1235, 267, 22707, 5622, 17767, 519, 7915, 1379, 6384, 11251, 1369, 10409, 3889, 269, 1635, 7421, 519, 946, 540, 1893, 538, 1200, 1404, 834, 288, 852, 320, 2437, 649, 666, 7747, 875, 2757, 9423, 2553, 666, 581, 1016, 30062, 547, 4161, 8789, 6386, 543, 2709, 4244, 5380, 780, 11101, 267, 22707, 5622, 781, 960, 4749, 15359, 1206, 519, 10206, 540, 1412, 1492, 2123, 568, 2797, 3299, 10771, 602, 4357, 2833, 543, 3347, 3112, 581, 9674, 689, 6626, 1914, 19205, 8658, 269, 769, 834, 5978, 590, 3563, 23703, 2809, 2437, 22707, 5622, 3096, 519, 1915, 590, 1170, 773, 547, 5031, 519, 4296, 1063, 1367, 5079, 267, 2146, 12503, 267, 543, 3084, 4507, 780, 7661, 267, 3168, 3564, 22707, 5622, 781, 522, 324, 12320, 516, 267, 4207, 3979, 8706, 3359, 3136, 547, 11457, 267, 6220, 3309, 9739, 543, 2152, 269, 18623, 899, 31506, 16129, 23111, 1446, 543, 744, 344, 11726, 337, 11252, 330, 17554, 373, 392, 479, 744, 344, 384, 505, 342, 383, 373, 332, 6403, 4161, 5375, 10054, 827, 4008, 25327, 543, 12167, 585, 811, 8537, 8847, 540, 8706, 6541, 543, 27828, 780, 2026, 1053, 2502, 609, 891, 3584, 267, 596, 616, 9415, 547, 9691, 5659, 5931, 998, 513, 575, 25311, 7828, 267, 2243, 17888, 10054, 267, 543, 5660, 519, 17381, 543, 6988, 4547, 8521, 950, 6236, 28963, 540, 3961, 269, 5457, 267, 1169, 4062, 540, 3332, 11438, 17697, 6835, 827, 4008, 5107, 543, 1894, 282, 938, 4305, 568, 547, 10625, 267, 29506, 1125, 267, 543, 1865, 873, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 303, 1503, 881, 2278, 543, 5449, 19168, 1014, 2069, 14012, 2549, 320, 2311, 320, 22707, 5622, 5293, 2476, 593, 476, 4029, 2904, 476, 1708, 274, 693, 519, 2085, 540, 476, 10037, 269, 5240, 540, 1200, 2669, 26871, 828, 730, 1472, 519, 1158, 267, 6169, 540, 1200, 26009, 3310, 538, 5339, 267, 15594, 543, 2797, 5624, 563, 288, 573, 5622, 729, 19168, 779, 19466, 4807, 5856, 543, 1200, 13747, 4876, 838, 10165, 1896, 5756, 269, 4173, 5339, 9295, 4025, 1200, 1851, 519, 1101, 5108, 540, 3979, 2021, 5830, 540, 519, 2022, 23949, 11163, 5736, 269, 2991, 7115, 538, 19168, 538, 476, 4198, 278, 267, 1352, 2968, 513, 3056, 15594, 5639, 1369, 2022, 24645, 1603, 563, 2690, 936, 476, 736, 1296, 267, 1250, 1382, 267, 14172, 543, 3450, 723, 8268, 519, 3332, 540, 3979, 2021, 5830, 267, 1519, 22707, 5622, 269, 3733, 960, 22842, 741, 7415, 7418, 547, 2021, 779, 543, 4008, 2090, 998, 5339, 4082, 563, 7437, 513, 15594, 7828, 267, 22707, 5622, 779, 1603, 27711, 1390, 5813, 883, 519, 10848, 543, 2591, 540, 3979, 2021, 779, 2729, 538, 7810, 543, 2022, 24645, 7239, 269, 2701, 11339, 827, 2021, 945, 1590, 6330, 3138, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 29638, 543, 12339, 21442, 29576, 257, 607, 851, 540, 834, 299, 25604, 14473, 595, 6020, 12087, 26113, 1315, 3979, 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, 769, 519, 14297, 2749, 540, 18776, 639, 267, 1079, 2025, 2828, 267, 5981, 543, 13177, 267, 1336, 2933, 593, 6587, 5011, 540, 606, 7920, 7521, 827, 519, 6388, 540, 12957, 2029, 538, 2199, 6080, 269, 5637, 1185, 2189, 5380, 282, 5981, 729, 606, 23904, 10509, 16724, 1247, 13177, 5249, 607, 513, 17519, 1514, 11832, 269, 4256, 17804, 5784, 17275, 5717, 2429, 519, 2146, 267, 10223, 519, 991, 585, 3666, 1063, 5647, 543, 5683, 9270, 780, 20694, 5156, 602, 8508, 12957, 1131, 1291, 547, 6909, 7760, 585, 18776, 639, 269, 834, 13914, 827, 621, 2437, 646, 1767, 1282, 513, 4884, 10689, 5870, 267, 834, 2246, 558, 566, 1797, 2799, 4398, 267, 2539, 2504, 3790, 267, 543, 10930, 2324, 2175, 1701, 1261, 11329, 547, 1010, 5767, 8798, 267, 16790, 300, 3663, 267, 799, 1223, 24847, 5478, 1164, 7779, 5370, 1510, 27531, 8856, 610, 10727, 269, 8528, 307, 11336, 267, 2705, 267, 14126, 827, 519, 1764, 971, 4028, 6639, 1689, 1522, 723, 593, 519, 1004, 1352, 6039, 3232, 269, 2701 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 780, 4322, 575, 28145, 949, 3100, 2147, 267, 855, 1175, 899, 16254, 267, 789, 1142, 723, 2189, 5380, 543, 3877, 547, 2671, 827, 4906, 262, 1272, 269, 8625, 267, 789, 1711, 513, 4190, 13795, 540, 2984, 602, 948, 721, 1174, 945, 4906, 729, 543, 1946, 646, 6927, 547, 6634, 540, 1004, 1472, 519, 8608, 1256, 2221, 780, 3719, 7227, 267, 5749, 1405, 972, 811, 982, 2185, 717, 28145, 286, 1411, 2811, 1318, 256, 1703, 616, 2965, 1896, 824, 5931, 3544, 540, 519, 6426, 1419, 5219, 547, 607, 834, 25721, 665, 787, 13921, 717, 28145, 1701, 1809, 3314, 950, 594, 5018, 602, 4906, 262, 14191, 2828, 4941, 547, 2327, 1010, 3020, 5048, 7012, 1405, 4503, 286, 4270, 267, 1346, 3606, 12591, 2270, 6266, 540, 1500, 5346, 8631, 543, 1810, 1405, 5447, 1134, 609, 1018, 1034, 10271, 3494, 269, 1924, 1152, 519, 22973, 6589, 8694, 909, 1373, 3769, 538, 519, 4013, 4015, 1634, 607, 519, 1715, 11620, 780, 30509, 689, 519, 717, 28145, 267, 2038, 10271, 849, 5206, 5022, 547, 5000, 543, 3391, 8284, 21071, 269, 2368, 540, 891, 5022, 666, 581, 1336, 538, 519, 1715, 11620, 896, 4408, 971, 607, 6754, 267, 8834, 267, 6276, 267, 543, 3627, 269, 2290, 4241, 1383, 568, 31694, 630, 10193, 1634, 607, 519, 7442, 5914, 2988, 572, 1070, 799, 3568, 12357, 22649, 5921, 547, 8300, 4126, 9624, 2352, 2053, 780, 3383, 972, 596, 723, 621, 1107, 519, 4332, 540, 4168, 3332, 256, 3245, 2123, 16499, 23888, 547, 2295, 325, 3881, 5022, 267, 891, 3504, 5931, 4196, 607, 9486, 883, 519, 2729, 540, 1346, 26970, 676, 4906, 262, 2648, 543, 7326, 269, 1306, 2413, 3988, 267, 3695, 891, 15851, 6386, 2636, 721, 547, 1732, 10146, 1312, 3140, 2796, 543, 5289, 4644, 1369, 8567, 269, 8414, 2542, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 19615, 540, 519, 8863, 305, 3041, 2316, 3198, 8863, 7838, 6224, 20330, 31086, 476, 1691, 269, 17796, 543, 9085, 563, 13731, 5128, 5206, 4986, 267, 855, 7677, 1639, 11995, 1570, 585, 2835, 543, 8964, 540, 14696, 543, 17192, 269, 634, 2713, 5783, 540, 519, 28099, 14855, 568, 1010, 1433, 269, 1261, 8547, 513, 4984, 540, 519, 2713, 6891, 267, 711, 540, 513, 2854, 3009, 267, 899, 519, 631, 6242, 545, 1876, 269, 630, 3571, 4484, 547, 3751, 2806, 3258, 639, 540, 3798, 612, 320, 267, 538, 661, 2224, 321, 1421, 2876, 269, 8278, 743, 1421, 594, 269, 476, 1724, 267, 568, 513, 4502, 1652, 21753, 4700, 8616, 1010, 1913, 543, 23339, 616, 6592, 676, 607, 9237, 543, 6325, 22168, 607, 2479, 2322, 4050, 547, 1957, 563, 296, 269, 24956, 545, 4168, 17796, 563, 263, 272, 264, 634, 2185, 32588, 673, 717, 28145, 269, 21894, 741, 5169, 543, 4266, 267, 789, 8858, 9247, 519, 1482, 10143, 25993, 1272, 543, 1915, 540, 2441, 267, 799, 6763, 856, 538, 8325, 4334, 609, 519, 535, 1112, 25875, 2441, 540, 519, 7442, 665, 787, 13921, 717, 28145, 267, 543, 3112, 7654, 723, 1044, 11827, 267, 2547, 540, 782, 676, 2192, 30185, 22191, 753, 269, 1358, 1131, 2760, 723, 2219, 540, 1603, 2835, 1510, 519, 6667, 540, 741, 9457, 563, 263, 273, 264, 634, 20450, 540, 19279, 267, 519, 24347, 4301, 9210, 30178, 267, 543, 519, 7442, 5914, 2988, 572, 540, 808, 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, 769, 519, 2295, 540, 8567, 6013, 519, 3661, 538, 519, 10513, 27076, 910, 519, 12429, 267, 519, 12312, 267, 543, 519, 10513, 13336, 269, 2755, 519, 12429, 543, 519, 12312, 723, 1044, 14916, 5941, 543, 23503, 2429, 1686, 267, 519, 1909, 540, 519, 10513, 13336, 538, 5935, 4168, 4978, 543, 2853, 568, 8449, 1713, 269, 901, 3296, 786, 5490, 883, 713, 1419, 15763, 2460, 676, 3695, 875, 519, 1523, 540, 5289, 9322, 267, 607, 22993, 676, 853, 269, 8125, 7079, 639, 519, 19158, 31354, 267, 814, 5129, 513, 2629, 1909, 538, 10747, 521, 664, 11856, 1369, 8109, 18179, 8567, 269, 1284, 786, 849, 4983, 519, 1184, 540, 17374, 1436, 543, 922, 4644, 538, 9301, 23920, 17349, 780, 306, 2869, 3770, 30767, 538, 8109, 18179, 8567, 454, 14343, 19567, 4263, 519, 4295, 540, 8109, 18179, 8567, 568, 519, 3661, 602, 519, 9322, 540, 519, 5783, 267, 1634, 607, 519, 10610, 540, 2441, 267, 568, 12082, 538, 519, 10513, 13336, 269, 4340, 547, 519, 10752, 1336, 538, 9210, 1127, 2103, 476, 275, 281, 275, 267, 972, 568, 1152, 1412, 821, 1560, 267, 543, 835, 6891, 9538, 1280, 18179, 10271, 267, 3020, 9322, 3112, 581, 6913, 998, 5007, 1797, 899, 2797, 1379, 610, 2883, 3310, 282, 3079, 267, 621, 11710, 689, 513, 3838, 5289, 6125, 602, 25186, 1367, 9163, 543, 1770, 525, 21071, 896, 519, 5583, 540, 519, 10513, 13336, 780, 763, 2856, 540, 5289, 9322, 11363, 519, 2956, 540, 4509, 606, 6418, 4276, 609, 2696, 1247, 5807, 10103, 1851, 8284, 21071, 269, 1635, 8508, 713, 6240, 267, 2043, 1831, 851, 540, 1945, 3152, 982, 2933, 1107, 513, 2146, 8087, 676, 741, 2648, 585, 2441, 543, 11461, 676, 519, 7326, 540, 519, 10513, 13336, 780, 1805, 269, 8125, 7079, 639, 519, 19158, 31354, 281, 589, 7844, 540, 20154, 30767, 454, 24801, 21387, 1805, 269, 8125, 7079, 639, 519, 19158, 31354, 630, 323, 269, 476, 4350, 279, 1070, 4171, 11755, 585, 782, 9082, 547, 2097, 547, 917, 2696, 998, 519, 10513, 13336, 729, 12286, 538, 519, 6679, 1349, 267, 30833, 519, 9759, 540, 5289, 9322, 1282, 1010, 10715, 269, 18004, 538, 6576, 267, 853, 269, 8125, 7079, 639, 2968, 513, 31494, 693, 6778, 19158, 657, 538, 10255, 267, 1141, 646, 6131, 5128, 547, 513, 1272, 540, 1151, 3363, 267, 11755, 267, 543, 31658, 269, 6736, 2713, 607, 513, 1200, 2466, 267, 853, 269, 8125, 7079, 639, 6444, 519, 991, 585, 5289, 17604, 10838, 10271, 5001, 269, 3571, 19001, 2992, 1010, 2620, 7287, 585, 8103, 547, 1995, 519, 13710, 1379, 540, 519, 10513, 13336, 267, 3976, 22338, 519, 1259, 2509, 9758, 9322, 780, 4692, 517, 1436, 543, 4706, 19043, 10738, 8109, 18179, 344, 454, 32458, 7042, 1103, 8109, 18179, 8567, 267, 519, 1184, 540, 17374, 1436, 5713, 607, 1312, 513, 6284, 540, 18813, 640, 543, 513, 11812, 540, 519, 1209, 542, 1063, 13140, 543, 3618, 269, 9521, 824, 4168, 29559, 267, 8109, 18179, 344, 1281, 711, 723, 513, 6101, 1242, 5650, 585, 30418, 2576, 513, 23920, 269, 5502, 267, 519, 9006, 3130, 540, 25598, 14340, 1418, 1227, 689, 519, 21705, 945, 267, 6273, 676, 519, 2729, 540, 891, 9058, 2043, 267, 3343, 741, 954, 20896, 543, 1383, 780, 2691, 6236, 2436, 547, 5431, 2576, 607, 513, 23920, 267, 519, 18179, 5783, 12116, 1896, 2188, 267, 1519, 1384, 272, 269, 2878, 29804, 1465, 5093, 9894, 519, 11134, 1291, 606, 24215, 4075, 6681, 1272, 6353, 676, 1582, 16531, 267, 8296, 267, 543, 20174, 547, 2696, 888, 273, 269, 2878, 300, 4275, 3380, 5093, 5620, 972, 1044, 6589, 540, 14393, 31397, 2621, 11911, 547, 519, 11134, 781, 954, 20896, 610, 4527, 888, 274, 269, 2878, 7775, 628, 13454, 344, 5093, 12984, 519, 11134, 32344, 538, 30176, 519, 29625, 543, 5389, 540, 8109, 18179, 8567, 888, 275, 269, 2878, 299, 527, 17790, 10469, 3130, 5093, 13201, 519, 11134, 2907, 1044, 4922, 9006, 23306, 676, 519, 21705, 267, 2901, 12725, 610, 11451, 2496, 2252, 519, 2626, 547, 891, 2055, 568, 31077, 267, 1287, 519, 1367, 949, 581, 18005, 6444, 607, 513, 23920, 998, 513, 1396, 17790, 3028, 1634, 607, 519, 1350, 528, 2305, 269, 4438, 713, 16008, 267, 519, 5783, 3413, 8787, 519, 2868, 1465, 540, 519, 9241, 2275, 534, 517, 1242, 23920, 543, 20217, 519, 21705, 547, 3343, 741, 954, 947, 687, 269, 3414, 713, 1184, 267, 519, 18179, 5783, 19156, 519, 15364, 1063, 519, 31676, 543, 3618, 569, 26441, 267, 22348, 21071, 602, 789, 616, 851, 540, 513, 2582, 267, 18900, 1920, 3808, 1927, 676, 519, 10513, 13336, 780, 21010, 532, 20154, 30767, 2060, 7351, 12367, 543, 7464, 21509, 6201, 454, 5785, 5785, 19030, 1103, 2221, 781, 5051, 8701, 1242, 1158, 267, 20460, 1746, 519, 3741, 540, 5289, 9322, 23647, 676, 2038, 25598, 971, 607, 853, 269, 8125, 7079, 639, 3091, 3407, 4030, 585, 4207, 10271, 5275, 547, 6536, 9322, 9624, 4763, 269, 1306, 7239, 20920, 609, 2152, 8151, 689, 3909, 17119, 1143, 547, 2797, 5513, 16117, 267, 8508, 519, 10206, 540, 5289, 9322, 7512, 2043, 547, 1413, 3564, 21603, 3604, 543, 1445, 593, 519, 4514, 4296, 602, 12622, 873, 1927, 607, 1453, 540, 2696, 780, 11101, 267, 4974, 519, 2729, 540, 17374, 1242, 25598, 2488, 2413, 10271, 609, 15889, 1806, 540, 875, 8723, 2367, 543, 2021, 666, 18220, 519, 16431, 540, 2648, 267, 19807, 267, 543, 21548, 538, 741, 3232, 2729, 269, 1452, 11121, 2984, 4196, 607, 3532, 23106, 602, 1169, 1268, 19299, 519, 1761, 547, 3565, 25006, 547, 519, 5571, 5692, 540, 2679, 2696, 781, 8003, 593, 3618, 780, 6962, 454, 29603, 18698, 519, 2078, 1063, 5289, 9322, 267, 521, 664, 11856, 267, 543, 519, 17374, 1436, 1184, 24259, 1769, 593, 1898, 3344, 540, 8109, 18179, 8567, 269, 1635, 6313, 519, 10752, 540, 853, 269, 8125, 7079, 639, 519, 19158, 31354, 543, 519, 4644, 5116, 2390, 5289, 9322, 1369, 18179, 2245, 267, 1053, 2744, 513, 4514, 7071, 585, 519, 2081, 538, 799, 519, 10513, 13336, 5170, 547, 3337, 4168, 3961, 543, 2259, 269, 5015, 267, 1620, 519, 5214, 2470, 540, 521, 664, 11856, 1369, 8109, 18179, 344, 8711, 519, 11972, 10083, 540, 3140, 5515, 945, 24018, 11108, 16495, 267, 21548, 267, 543, 20174, 547, 2696, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 307, 578, 1841, 513, 2622, 25038, 454, 2467, 568, 835, 1560, 267, 543, 835, 13336, 267, 1256, 607, 9493, 616, 1572, 538, 835, 4126, 540, 707, 10912, 563, 22977, 1127, 2103, 476, 275, 267, 476, 275, 454, 2690, 519, 4708, 540, 519, 2898, 1158, 267, 519, 1434, 10040, 540, 519, 13411, 932, 11699, 540, 2696, 543, 519, 9769, 540, 782, 1004, 267, 1577, 721, 7281, 547, 519, 7083, 563, 5804, 519, 4279, 22175, 1415, 540, 519, 18179, 22175, 4026, 625, 454, 296, 7281, 634, 324, 267, 744, 30330, 3814, 7083, 267, 585, 782, 519, 9082, 540, 519, 3047, 602, 789, 949, 2097, 547, 917, 634, 324, 676, 774, 344, 10513, 13336, 563, 1805, 8125, 7079, 639, 519, 19158, 31354, 22791, 476, 4350, 279, 994, 7072, 281, 20154, 30767, 454, 2690, 18179, 10271, 519, 30767, 540, 519, 5783, 267, 540, 519, 10610, 540, 2441, 267, 568, 538, 519, 10513, 13336, 269, 7102, 824, 2186, 540, 9322, 568, 23366, 513, 7301, 543, 2192, 639, 800, 9322, 267, 513, 9322, 13684, 676, 519, 1158, 543, 922, 5238, 540, 1379, 6214, 543, 2724, 799, 666, 2490, 2899, 21705, 2818, 540, 519, 5783, 883, 5132, 1652, 12470, 1115, 540, 519, 1158, 269, 3807, 607, 771, 29774, 267, 865, 7301, 9322, 568, 2141, 519, 4829, 540, 513, 3668, 540, 17035, 267, 519, 8840, 540, 1158, 569, 2418, 883, 5783, 1272, 269, 8307, 519, 10513, 13336, 666, 5963, 12622, 721, 1927, 609, 938, 9197, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23781, 24702, 1315, 8567, 1315, 29513, 1299, 590, 664, 11856, 1315, 32588, 1436, 6713, 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, 6092, 5149, 281, 3689, 12724, 1127, 538, 19565, 11470, 910, 1323, 16709, 998, 2142, 29348, 781, 16707, 476, 9692, 271, 268, 9264, 277, 692, 29020, 281, 1677, 1683 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2788, 328, 269, 10815, 1634, 616, 681, 698, 25901, 630, 852, 14878, 22201, 23364, 1070, 12821, 9508, 267, 1323, 935, 320, 267, 543, 715, 10008, 269, 5804, 519, 476, 1015, 628, 547, 519, 476, 1724, 628, 5553, 789, 3710, 7904, 1115, 540, 9635, 1312, 585, 741, 1378, 4027, 543, 547, 1489, 3573, 4123, 5121, 2066, 519, 11335, 267, 4758, 873, 606, 1898, 1909, 538, 519, 12724, 3547, 269, 17809, 1550, 540, 1323, 935, 320, 454, 763, 11662, 540, 1323, 935, 320, 630, 2005, 6501, 281, 1008, 4532, 807, 1019, 1323, 935, 320, 264, 568, 513, 11662, 538, 519, 16205, 515, 3148, 540, 3844, 7977, 269, 4706, 3854, 568, 519, 2749, 540, 1323, 935, 320, 267, 543, 519, 11662, 10665, 519, 1520, 686, 1738, 7256, 269, 634, 2749, 540, 1323, 935, 320, 568, 849, 519, 3854, 540, 16205, 515, 269, 2414, 519, 5087, 267, 519, 11662, 568, 536, 23912, 676, 519, 1520, 686, 1738, 7256, 267, 543, 519, 7442, 3317, 710, 15142, 547, 519, 7178, 269, 634, 2551, 540, 519, 11662, 568, 6140, 4092, 538, 9381, 2127, 543, 538, 519, 21621, 3854, 1323, 935, 320, 267, 799, 814, 513, 2551, 540, 476, 6200, 267, 276, 1240, 282, 519, 11662, 814, 513, 2698, 2551, 540, 476, 5325, 278, 267, 8660, 273, 607, 540, 476, 1001, 276, 269, 9603, 547, 922, 9381, 4087, 267, 621, 568, 21825, 1271, 269, 634, 7022, 540, 519, 11662, 568, 700, 10005, 5395, 3757, 328, 15660, 1206, 23795, 540, 22501, 17822, 568, 2442, 547, 32228, 2103, 855, 814, 711, 1044, 7494, 4299, 676, 9235, 269, 589, 1804, 1858, 540, 519, 11662, 781, 2244, 568, 3484, 1633, 1419, 1031, 585, 9174, 2504, 282, 519, 11662, 7472, 25299, 1210, 519, 8053, 788, 592, 857, 8457, 267, 590, 30231, 990, 3150, 267, 543, 7638, 323, 545, 577, 1470, 8677, 540, 18812, 269, 7788, 1302, 267, 905, 6814, 2049, 538, 519, 11662, 1282, 519, 16276, 1974, 269, 898, 3568, 29990, 4525, 543, 519, 1230, 3266, 13636, 5244, 267, 799, 2270, 10053, 7733, 1141, 3109, 1854, 742, 956, 616, 1336, 269, 1452, 616, 4421, 538, 21733, 531, 1725, 320, 538, 519, 30240, 11662, 540, 623, 14008, 334, 552, 7984, 321, 3626, 563, 293, 13904, 1004, 4535, 540, 519, 11662, 540, 1323, 935, 320, 1331, 19291, 4083, 267, 10513, 4936, 14890, 630, 297, 525, 328, 5148, 4139, 20096, 18048, 22918, 850, 13005, 28529, 6929, 334, 630, 293, 629, 6929, 334, 5148, 5856, 681, 2378, 6130, 17939, 520, 7236, 630, 297, 525, 328, 5148, 21917, 717, 5684, 732, 1975, 2632, 7236, 630, 30538, 2723, 10620, 267, 799, 814, 2094, 1044, 3957, 1310, 1864, 607, 8575, 2723, 10620, 1975, 2632, 7236, 5148, 21917, 16902, 990, 28839, 645, 3430, 16695, 623, 1120, 3421, 328, 630, 297, 525, 328, 5148, 22301, 543, 21997, 966, 17010, 5292, 614, 571, 630, 2304, 935, 320, 5148, 11176, 518, 6890, 1729, 2494, 322, 7236, 630, 297, 525, 328, 5148, 15352, 24955, 2473, 2862, 630, 294, 1263, 320, 5148, 15352, 623, 3780, 26577, 630, 25938, 580, 718, 807, 5148, 543, 957, 816, 5164, 3534, 700, 27599, 630, 297, 525, 328, 1040, 31718, 7826, 5246, 10972, 665, 3150, 540, 1323, 935, 320, 268, 11675, 24982, 454, 763, 5246, 10972, 665, 3150, 540, 1323, 935, 320, 268, 11675, 24982, 630, 31142, 281, 5246, 573, 1470, 324, 806, 529, 1323, 935, 527, 3570, 5025, 5060, 574, 3570, 264, 568, 513, 4745, 3235, 27036, 20292, 8513, 543, 23195, 1294, 540, 519, 7826, 5783, 538, 519, 16205, 515, 3148, 540, 7977, 20193, 814, 11478, 538, 922, 1459, 1106, 2094, 476, 2735, 277, 267, 950, 519, 5246, 10972, 665, 3150, 540, 1323, 935, 320, 729, 8087, 609, 519, 3140, 4144, 665, 3150, 540, 744, 13678, 334, 269, 4595, 9998, 2053, 267, 519, 1019, 665, 3150, 814, 1044, 2047, 1641, 547, 519, 10513, 6423, 630, 303, 777, 2329, 1070, 1510, 13591, 8128, 7868, 2895, 29989, 814, 1010, 3134, 4593, 29914, 17599, 538, 519, 24130, 540, 1323, 935, 320, 267, 1247, 519, 24130, 540, 744, 13678, 334, 814, 519, 4567, 540, 513, 1071, 2275, 520, 14366, 563, 1103, 519, 476, 1704, 628, 267, 476, 1240, 628, 267, 543, 476, 866, 628, 2578, 3753, 267, 519, 5246, 29989, 540, 1323, 935, 320, 729, 4749, 513, 9315, 1400, 269, 2290, 5449, 5246, 29989, 267, 18370, 704, 334, 19681, 6975, 7236, 267, 9782, 547, 519, 14466, 2329, 607, 15352, 31409, 2473, 4353, 10611, 517, 14269, 1323, 935, 320, 454, 19723, 517, 3821, 1323, 935, 320, 568, 513, 13677, 957, 816, 267, 12705, 626, 543, 2278, 269, 2701, 1101, 2968, 1134, 1634, 1310, 17729, 538, 634, 8262, 6764, 1833, 2529, 523, 580, 718, 807, 454, 25938, 580, 718, 807, 630, 528, 16429, 580, 698, 20377, 538, 6196, 7969, 267, 7931, 1725, 565, 281, 590, 685, 333, 580, 24652, 264, 568, 513, 635, 2317, 543, 2823, 4884, 593, 7977, 781, 1520, 686, 1738, 5032, 269, 898, 568, 13883, 538, 519, 11662, 540, 1323, 935, 320, 538, 519, 16205, 515, 3148, 543, 6013, 5111, 476, 1789, 12919, 5087, 29891, 540, 519, 21621, 3854, 2749, 1323, 935, 320, 269, 7354, 580, 718, 807, 781, 1507, 2823, 568, 4092, 693, 519, 5023, 540, 519, 5757, 631, 13453, 2529, 773, 613, 540, 1323, 935, 320, 454, 306, 773, 613, 540, 1323, 935, 320, 729, 513, 6370, 538, 519, 3026, 777, 13457, 2782, 269, 898, 3576, 1747, 4098, 593, 519, 476, 276, 628, 2904, 476, 8687, 276, 543, 30174, 2394, 519, 476, 1789, 628, 2904, 476, 8687, 276, 269, 634, 6370, 3576, 1747, 6071, 2395, 1310, 519, 11135, 540, 24729, 550, 3626, 593, 519, 476, 274, 6113, 2904, 476, 8687, 276, 7868, 26362, 540, 1323, 935, 320, 729, 835, 540, 519, 2063, 12959, 538, 7977, 1282, 519, 3026, 777, 13457, 2782, 269, 634, 2749, 540, 1323, 935, 320, 729, 519, 2063, 2101, 7969, 2749, 547, 21704, 269, 898, 729, 10692, 1063, 19167, 781, 4229, 538, 1323, 935, 320, 267, 7977, 543, 519, 17454, 5025, 755, 6929, 19710, 1282, 519, 2290, 25569, 17963, 685, 5859, 269, 634, 17454, 5025, 755, 6929, 19710, 5555, 17204, 19167, 781, 4229, 267, 3976, 4543, 1163, 601, 519, 3943, 689, 8109, 7977, 269, 898, 849, 8329, 547, 519, 17594, 540, 519, 12844, 777, 27525, 21257, 6069, 676, 12653, 520, 543, 3366, 547, 519, 10661, 540, 519, 14466, 531, 1533, 269, 308, 2529, 269, 1323, 935, 320, 476, 5002, 276, 454, 4462, 7748, 22505, 10216, 1323, 935, 320, 476, 5002, 276, 267, 4122, 5219, 547, 607, 1323, 935, 320, 267, 729, 606, 7969, 11176, 8630, 1759, 538, 1323, 935, 320, 267, 16205, 515, 563, 763, 8630, 4957, 922, 2012, 547, 772, 2529, 269, 1323, 935, 320, 476, 5002, 276, 689, 590, 2529, 269, 623, 10730, 5842, 700, 9579, 16619, 538, 476, 1001, 271, 267, 1813, 547, 519, 28153, 540, 519, 1292, 11176, 2319, 540, 519, 2749, 267, 589, 5861, 269, 1323, 935, 320, 269, 1717, 267, 1310, 513, 2124, 326, 566, 538, 476, 1001, 278, 267, 772, 2529, 269, 1323, 935, 320, 476, 5002, 276, 24013, 4319, 689, 519, 11176, 18158, 269, 11749, 4997, 2494, 11142, 22088, 454, 11749, 4997, 2494, 11142, 22088, 630, 9799, 476, 1724, 4728, 476, 4198, 276, 538, 1323, 935, 320, 264, 568, 606, 7969, 22267, 563, 9515, 568, 513, 4759, 540, 519, 14891, 9549, 269, 2494, 11142, 22088, 729, 11221, 26302, 540, 1323, 935, 320, 593, 476, 1556, 4873, 476, 1001, 274, 543, 556, 18101, 3305, 539, 585, 519, 2034, 2165, 593, 476, 1839, 4873, 476, 1001, 279, 269, 2701, 568, 519, 1101, 4807, 547, 581, 11221, 25650, 540, 519, 2749, 540, 1323, 935, 320, 2529, 515, 4465, 519, 476, 1001, 279, 2622, 26302, 15356, 563, 347, 20458, 1239, 585, 1323, 935, 320, 630, 3192, 272, 1700, 1220, 271, 10245, 24820, 2071, 1164, 11019, 290, 630, 4113, 293, 10534, 280, 269, 273, 454, 25238, 2905, 1611, 11019, 290, 630, 4113, 293, 10534, 276, 269, 274, 454, 24820, 2071, 1970, 11019, 290, 630, 4113, 293, 10534, 272, 269, 275, 454, 24820, 2071, 13247, 6515, 630, 514, 2583, 10534, 6246, 269, 279, 454, 347, 13126, 281, 5450, 324, 334, 4456, 11406, 292, 2202, 693, 519, 4463, 540, 19167, 781, 7276, 454, 290, 885, 538, 7977, 676, 2551, 0, 6124, 14948, 281, 623, 1370, 823, 6953, 718, 5549, 267, 476, 2735, 278, 269, 3689, 9990, 267, 3689, 24614, 269, 9941, 16225, 269, 13242, 910, 15020, 6153, 269, 590, 2775, 569, 535, 12184, 12636, 543, 16833, 269, 11162, 267, 796, 5658, 539, 267, 9395, 5299, 269, 645, 270, 310, 12222, 269, 12039, 269, 476, 1428, 269, 274, 1535, 476, 2420, 269, 278, 4699, 269, 476, 24783, 6032, 269, 30014, 1948, 9083, 1691, 454, 15430, 5034, 538, 606, 13016, 267, 2239, 2511, 267, 713, 1257, 5654, 693, 2257, 267, 689, 519, 3504, 1158, 267, 547, 10120, 2257, 267, 519, 3621, 4838, 267, 998, 547, 476, 736, 628, 2540, 6323, 269, 901, 7160, 3091, 811, 3795, 540, 476, 736, 628, 2540, 1686, 267, 10617, 267, 543, 2029, 282, 811, 593, 15751, 18160, 282, 543, 811, 593, 7061, 11707, 543, 6138, 269, 1280, 782, 1346, 5461, 538, 2257, 267, 1686, 267, 6138, 267, 6323, 267, 543, 4702, 269, 0, 8450, 519, 5767, 7477, 17473, 543, 1265, 856, 827, 2324, 585, 9049, 293, 5177, 297, 10849, 538, 519, 5177, 454, 29309, 532, 21476, 2200, 585, 3506, 454, 29309, 532, 21476, 568, 606, 3078, 1788, 1141, 1053, 666, 2047, 3565, 547, 519, 19493, 960, 540, 631, 2946, 20657, 1231, 590, 753, 13571, 328, 11726, 637, 270, 2710, 4701, 9453, 645, 7451, 630, 5960, 293, 1916, 763, 1739, 6881, 786, 948, 596, 4001, 1053, 875, 547, 4786, 912, 763, 18913, 6044, 3561, 568, 2966, 547, 948, 1053, 1451, 547, 4786, 912, 2171, 723, 3177, 713, 3391, 585, 3610, 609, 5363, 4388, 593, 6707, 3478, 1053, 11837, 912, 2171, 991, 7851, 1169, 1554, 547, 1205, 547, 2550, 267, 547, 2708, 519, 2115, 540, 6433, 3620, 527, 2950, 267, 547, 3950, 2068, 3262, 543, 547, 4431, 547, 2199, 2621, 267, 855, 1082, 540, 519, 2127, 538, 799, 649, 960, 723, 2760, 1044, 25528, 563, 294, 1516, 707, 942, 547, 31932, 21476, 6227, 519, 24749, 7029, 585, 14565, 971, 607, 16099, 540, 25470, 543, 1223, 1683, 5718, 3255, 585, 1346, 1418, 2358, 513, 8630, 563, 2791, 666, 4786, 10446, 855, 581, 2386, 547, 1832, 513, 2594, 540, 707, 3108, 563, 7312, 11837, 568, 13761, 676, 4966, 543, 786, 581, 1031, 676, 938, 2564, 6887, 593, 519, 2666, 269, 898, 2306, 513, 1483, 3017, 547, 3478, 5351, 547, 1346, 538, 7925, 2127, 269, 11289, 596, 585, 707, 7029, 547, 713, 269, 0, 1607, 1576, 6941, 519, 1184, 540, 1210, 519, 15213, 540, 6176, 2920, 630, 23859, 8656, 264, 547, 7662, 1344, 689, 590, 6347, 269, 898, 849, 14439, 6381, 950, 621, 568, 11991, 547, 1118, 13668, 998, 29332, 8656, 267, 543, 267, 3079, 267, 946, 2228, 2200, 610, 2123, 17066, 607, 2959, 540, 13844, 1344, 563, 8923, 4945, 1934, 585, 513, 15026, 19405, 540, 713, 1576, 3436, 11417, 268, 634, 15213, 540, 6176, 2920, 630, 23859, 8656, 994, 268, 4208, 798, 649, 723, 29332, 8656, 888, 268, 1215, 3657, 29332, 8656, 13668, 1500, 547, 590, 6347, 888, 268, 1772, 621, 2556, 547, 1118, 782, 13668, 585, 1344, 998, 519, 29332, 8656, 888, 268, 1548, 952, 594, 1810, 1406, 723, 2228, 1569, 888, 268, 1548, 5638, 1281, 590, 6347, 3622, 711, 30035, 888, 268, 1548, 2010, 540, 13668, 585, 8791, 476, 25908, 1344, 616, 1500, 547, 590, 6347, 888, 268, 1548, 616, 519, 590, 6347, 6237, 5604, 9021, 3823, 13668, 585, 1344, 888, 268, 1215, 1058, 519, 21614, 779, 6023, 2489, 3557, 543, 2199, 3795, 28780, 888, 268, 1548, 568, 590, 6347, 23560, 547, 13724, 10837, 2598, 26918, 888, 2026, 5892, 5018, 538, 519, 1576, 968, 7072, 547, 519, 1883, 13222, 2223, 2276, 616, 4397, 547, 960, 609, 519, 21614, 593, 3557, 543, 2199, 3795, 2152, 269, 901, 2078, 1063, 519, 2276, 543, 590, 6347, 10305, 547, 519, 3608, 2095, 540, 2489, 19359, 543, 6351, 3823, 782, 3344, 540, 3795, 607, 789, 616, 3989, 538, 6810, 476, 13975, 543, 476, 25908, 269, 1717, 267, 1018, 568, 519, 1184, 585, 31392, 1344, 689, 590, 6347, 585, 519, 1857, 286, 1677, 1265, 856, 267, 5225, 1224, 593, 563, 5319, 716, 539, 538, 476, 3422, 277, 267, 543, 2921, 1198, 593, 5147, 476, 276, 267, 476, 3422, 278, 267, 519, 29332, 8656, 2488, 1022, 1268, 519, 1318, 547, 3489, 1569, 547, 5313, 8116, 5638, 267, 4849, 547, 519, 6708 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 972, 616, 930, 4191, 602, 707, 1973, 4006, 2157, 616, 711, 8647, 7363, 563, 29797, 16570, 20945, 568, 513, 2783, 538, 799, 707, 1973, 4006, 568, 1932, 1970, 269, 20050, 1331, 606, 12150, 26470, 267, 9854, 267, 695, 752, 1465, 543, 32688, 610, 31018, 538, 707, 3068, 269, 1403, 596, 9846, 1745, 713, 1259, 950, 596, 1205, 17237, 610, 1063, 6980, 267, 2911, 547, 707, 3782, 8502, 563, 4002, 519, 1166, 2354, 728, 267, 5409, 16744, 20945, 4523, 950, 707, 1973, 4006, 568, 1932, 1164, 267, 543, 666, 4755, 547, 562, 1180, 328, 28017, 269, 12580, 1331, 7928, 30614, 267, 2799, 19818, 543, 15677, 269, 1403, 596, 1589, 596, 5889, 516, 5409, 16744, 23303, 543, 666, 5889, 339, 1832, 12862, 610, 1426, 1524, 267, 1289, 585, 6595, 2564, 6351, 563, 10673, 5889, 339, 7323, 281, 4400, 10552, 17491, 1548, 1677, 1684, 454, 2791, 2904, 6145, 281, 6496, 8899, 10552, 17491, 20531, 17496, 10819, 454, 288, 272, 322, 17644, 9701, 2142, 10572, 1242, 454, 288, 272, 322, 3853, 1058, 581, 25191, 1759, 593, 519, 1367, 7207, 267, 4220, 267, 543, 1991, 2833, 267, 6941, 27722, 2480, 515, 10719, 267, 9049, 267, 7131, 292, 267, 13653, 540, 21091, 12128, 267, 543, 2278, 540, 6056, 6145, 513, 7754, 17759, 563, 2690, 1383, 267, 649, 3622, 2832, 585, 1360, 9395, 589, 272, 322, 2157, 1282, 6379, 543, 811, 15061, 9072, 538, 1762, 1453, 543, 519, 11361, 563, 4913, 267, 2480, 515, 10719, 8711, 1271, 2188, 602, 1223, 17854, 17935, 585, 513, 2362, 589, 272, 322, 267, 899, 31202, 20945, 23387, 1145, 267, 799, 568, 4330, 607, 950, 513, 1268, 609, 3987, 1100, 3476, 7959, 519, 593, 5765, 9963, 4191, 540, 1970, 1973, 4006, 269, 901, 666, 2322, 596, 693, 1713, 1981, 585, 4049, 1970, 1973, 14836, 4611, 17465, 610, 2669, 269, 1677, 2569, 602, 1981, 267, 596, 1131, 2832, 585, 2362, 3077, 1973, 4006, 9832, 563, 5278, 821, 609, 1713, 31202, 20945, 23387, 1145, 543, 513, 1686, 540, 4049, 1970, 338, 1058, 3077, 2362, 1973, 7280, 2157, 982, 2576, 945, 666, 3713, 543, 4383, 741, 1970, 338, 811, 3927, 267, 8591, 2480, 515, 10719, 269, 1656, 6157, 267, 2576, 945, 814, 1044, 4881, 589, 272, 14369, 538, 5595, 9704, 585, 3833, 930, 942, 1058, 711, 581, 13389, 606, 589, 272, 322, 540, 476, 277, 260, 1732, 547, 1305, 16434, 267, 10853, 267, 24276, 3853, 563, 9596, 875, 547, 2539, 707, 589, 272, 322, 538, 12128, 1805, 3994, 338, 288, 272, 290, 6651, 563, 1432, 1684, 1411, 1684, 1879, 10552, 17491, 1772, 8899, 454, 2252, 596, 5469, 602, 707, 1973, 4006, 568, 1970, 267, 621, 568, 1271, 547, 1521, 621, 1318, 2476, 547, 2061, 621, 689, 21177, 1256, 2417, 269, 3371, 616, 930, 2994, 596, 666, 946, 547, 1521, 1970, 1973, 4006, 267, 855, 922, 1655, 547, 1865, 891, 609, 707, 3782, 2319, 1354, 3843, 873, 912, 5970, 606, 6595, 31202, 20945, 6539, 602, 568, 3362, 3015, 543, 609, 596, 693, 782, 2053, 269, 5269, 2386, 1004, 596, 616, 609, 917, 1018, 547, 798, 538, 513, 31202, 23303, 6595, 269, 2659, 6539, 1058, 1331, 912, 10908, 26651, 14342, 610, 24494, 16152, 454, 10908, 1075, 6782, 1224, 827, 6595, 17725, 6722, 6782, 543, 4712, 3562, 14025, 1313, 7765, 915, 528, 23445, 454, 28770, 11765, 3346, 1344, 454, 2252, 596, 616, 711, 8876, 513, 2407, 6595, 6539, 267, 1118, 2386, 547, 693, 2547, 4163, 7280, 14342, 610, 24494, 31496, 563, 8196, 519, 476, 1428, 268, 1428, 4341, 269, 16202, 610, 4235, 476, 1428, 10101, 540, 11950, 547, 6318, 707, 1973, 4006, 269, 6744, 621, 1310, 476, 1428, 3764, 269, 1403, 922, 1869, 2630, 476, 3583, 8406, 7933, 299, 267, 723, 1776, 7674, 540, 476, 1428, 10101, 540, 19719, 563, 3725, 701, 520, 891, 3268, 2394, 707, 1973, 4006, 568, 693, 2547, 476, 3583, 8406, 7933, 299, 269, 4495, 707, 1973, 4006, 568, 1394, 538, 2039, 267, 596, 1522, 2015, 4189, 513, 15165, 609, 2370, 610, 1100, 7378, 547, 1118, 2386, 621, 1281, 660, 6749, 1586, 269, 1403, 596, 3548, 513, 15165, 267, 1118, 621, 513, 1507, 267, 3940, 11656, 15165, 267, 543, 581, 6297, 540, 6450, 895, 1164, 7280, 2157, 563, 2252, 596, 946, 513, 6806, 8520, 3926, 267, 1865, 609, 707, 3782, 2319, 952, 596, 1058, 1491, 1447, 982, 476, 1428, 10101, 547, 2953, 513, 1970, 7280, 1871, 563, 9827, 6744, 281, 1215, 1677, 3683, 2492, 17491, 595, 9545, 902, 1677, 700, 846, 13379, 454, 293, 8463, 3794, 26651, 25779, 281, 476, 7761, 454, 3963, 286, 2776, 16227, 649, 5941, 602, 519, 5084, 288, 15109, 3339, 17509, 7280, 607, 4376, 2999, 476, 1911, 8406, 7933, 331, 269, 1717, 267, 2789, 1382, 2090, 1397, 602, 607, 17509, 7280, 4679, 267, 972, 568, 606, 2799, 1981, 540, 1072, 2042, 899, 3987, 543, 2295, 2068, 1256, 952, 621, 13978, 1369, 519, 3339, 2039, 269, 634, 8711, 540, 930, 540, 519, 1353, 2164, 1331, 912, 268, 9093, 4171, 17509, 1973, 7280, 729, 3152, 982, 476, 5952, 8406, 7933, 331, 1185, 513, 3648, 2362, 9019, 2557, 689, 9025, 3676, 982, 2367, 609, 1973, 14836, 1447, 982, 476, 5952, 8406, 7933, 331, 563, 268, 4658, 609, 17509, 7280, 2157, 538, 519, 1164, 3339, 2039, 1185, 3648, 2799, 9025, 2068, 1981, 982, 1004, 4171, 2157, 7283, 2630, 476, 3199, 8406, 7933, 331, 563, 268, 5753, 609, 17509, 7280, 2157, 476, 10436, 268, 4200, 8406, 7933, 331, 1185, 811, 982, 5595, 519, 1981, 540, 3384, 2392, 328, 3449, 543, 1826, 476, 273, 3987, 607, 4079, 950, 3379, 609, 1453, 4171, 2157, 941, 1447, 982, 476, 10436, 8406, 7933, 331, 563, 268, 4658, 609, 17509, 7280, 2157, 1063, 476, 11011, 268, 4200, 8406, 7933, 331, 1185, 513, 476, 274, 24670, 2333, 538, 1826, 476, 273, 3987, 1981, 3379, 547, 1346, 609, 2157, 1447, 982, 476, 10695, 8406, 7933, 331, 563, 268, 7324, 1762, 267, 2635, 2367, 267, 2362, 17509, 11919, 7280, 2157, 1369, 519, 3339, 2039, 13822, 606, 4830, 1981, 3815, 585, 1826, 476, 273, 3987, 269, 901, 1797, 602, 607, 17509, 7280, 4679, 267, 1256, 952, 519, 1377, 568, 1869, 2808, 3339, 267, 621, 1223, 5815, 513, 3648, 2362, 1981, 540, 3384, 3987, 267, 543, 713, 568, 3226, 14733, 952, 19483, 568, 3152, 982, 476, 1789, 269, 4586, 5649, 4746, 281, 1215, 13518, 17491, 1772, 769, 11709, 8759, 10979, 31201, 454, 1692, 1677, 6164, 25126, 5808, 779, 11109, 589, 1530, 714, 675, 2107, 28546, 454, 10287, 891, 3268, 952, 2576, 814, 513, 23069, 610, 3514, 3361, 676, 513, 1970, 1973, 4006, 1377, 912, 307, 749, 707, 3987, 1416, 2319, 952, 596, 2479, 723, 513, 4049, 3834, 334, 602, 3361, 596, 547, 723, 513, 23069, 610, 3514, 563, 10673, 1406, 7323, 281, 1215, 13518, 17491, 769, 932, 984, 8643, 5259, 962, 690, 4669, 454, 1692, 2052, 594, 6744, 3733, 10552, 17491, 5426, 9453, 589, 631, 2678, 454, 2467, 616, 2081, 538, 799, 596, 666, 2638, 1973, 4006, 1377, 1510, 519, 2757, 11281, 1505, 267, 855, 798, 4063, 602, 789, 616, 711, 607, 4977, 269, 589, 3926, 1572, 519, 6024, 7280, 5464, 6802, 568, 899, 606, 7378, 6802, 267, 799, 666, 948, 596, 1265, 3270, 543, 3466, 538, 707, 4006, 2157, 269, 1452, 1875, 1790, 4459, 2409, 946, 13590, 6329, 547, 1224, 7280, 538, 519, 1560, 563, 13425, 2659, 10552, 3794, 26651, 20946, 454, 2690, 1082, 1004, 609, 3987, 267, 10992, 741, 1973, 7280, 1377, 1142, 1554, 568, 606, 1271, 1259, 547, 4383, 741, 3987, 269, 16424, 707, 1973, 7280, 1377, 568, 1034, 1271, 952, 596, 1491, 7378, 269, 634, 2164, 540, 1973, 7280, 5464, 666, 948, 596, 1118, 3664, 827, 1426, 267, 2168, 2534, 267, 543, 11955, 563, 763, 1034, 1455, 1259, 547, 2638, 707, 1973, 7280, 1377, 693, 1753, 568, 609, 513, 1973, 7280, 11281, 269, 1411, 1205, 513, 6749, 540, 1973, 676, 533, 4459, 532, 519, 2427, 540, 707, 29327, 760, 609, 513, 561, 4545, 564, 269, 3973, 596, 4019, 519, 1973, 547, 513, 1449, 14816, 269, 634, 11281, 786, 1397, 596, 875, 1454, 7280, 568, 538, 707, 1973, 693, 519, 4090, 563, 16485, 707, 1072, 1416, 2319, 875, 1419, 596, 1058, 2638, 707, 1973, 7280, 2157, 269, 5269, 2386, 547, 1832, 513, 2594, 540, 707, 1973, 7280, 1582, 19295, 4242, 269, 1411, 666, 1820, 12215, 540, 713, 7280, 1582, 27902, 5750, 269, 6875, 891, 5638, 609, 596, 950, 596, 3643, 707, 1072, 1416, 2319, 563, 27775, 2105, 7335, 281, 1548, 9701, 674, 8463, 10552, 17491, 2142, 454, 9827, 6744, 281, 1215, 1677, 19321, 17491, 12128, 454, 3963, 9701, 589, 12287, 5192, 634, 589, 272, 322, 4530, 454, 14818, 532, 666, 948, 1072, 1416, 4648, 454, 268, 1265, 2392, 328, 3449, 543, 8480, 596, 827, 6197, 2242, 547, 948, 596, 8488, 610, 2061, 1826, 476, 273, 3987, 454, 268, 1265, 1826, 476, 273, 3987, 454, 268, 960, 609, 596, 547, 6895, 519, 2068, 543, 948, 1118, 2126, 3664, 547, 2061, 8374, 454, 2252, 596, 723, 1981, 2188, 585, 2392, 328, 3449, 610, 3987, 267, 2911, 609, 707, 4387, 827, 2436, 596, 1058, 581, 7318, 563, 9827, 6744, 281, 2052, 1284, 6513, 17491, 9453, 6925, 454, 1692, 1772, 14523, 16570, 20945, 7066, 730, 454, 2691, 707, 1973, 4006, 2157, 616, 1932, 1970, 267, 4189, 11950, 568, 1883, 269, 1403, 596, 723, 3987, 267, 2119, 547, 1832, 1164, 19346, 16152, 593, 1688, 563, 763, 1977, 12128, 5948, 15565, 602, 707, 15165, 723, 693, 2547, 476, 1428, 10101, 540, 11950, 269, 2368, 1434, 16152, 547, 1832, 593, 1688, 616, 912, 268, 21297, 10365, 610, 10733, 323, 28979, 454, 268, 4195, 610, 12015, 4829, 454, 2791, 849, 666, 1491, 7280, 14342, 547, 6385, 6318, 707, 1973, 4006, 952, 922, 1970, 269, 1452, 616, 2139, 1510, 513, 13310, 269, 4706, 1271, 547, 2638, 875, 1082, 10101, 616, 538, 1142, 16979, 1354, 2921, 873, 269, 13667, 547, 1205, 476, 1428, 547, 476, 736, 10101, 540, 11950, 563, 310, 7159, 476, 1428, 3764, 1310, 4189, 610, 2921, 513, 7280, 16979, 543, 1449, 707, 1973, 4006, 1586, 269, 1403, 707, 1973, 4006, 568, 711, 2469, 909, 267, 3548, 1776, 476, 1428, 10101, 540, 11950, 610, 1491, 1776, 9570, 540, 7280, 14342, 269, 19244, 713, 2394, 707, 1973, 4006, 1377, 6238, 547, 4473, 563, 6826, 2386, 711, 547, 31952, 805, 269, 901, 1223, 1291, 547, 1973, 4006, 2157, 602, 616, 1932, 1164, 563, 2252, 707, 1973, 4006, 3788, 796, 22529, 633, 267, 3346, 707, 4387, 610, 6595, 2533, 1318, 2476, 269, 1879, 538, 8969, 267, 1521, 563, 21618, 540, 1970, 1973, 4006, 2356, 1205, 8338, 952, 789, 516, 2451, 15860, 269, 5269, 606, 13393, 547, 1294, 707, 4387, 952, 596, 723, 3987, 543, 1995, 1970, 1973, 4006, 2157, 1419, 267, 610, 952, 596, 723, 2589, 267, 1256, 952, 596, 21645, 723, 3987, 563, 2791, 2904, 6145, 281, 1215, 2052, 594, 4530, 3733, 10552, 17491, 2311, 5851, 0, 307, 1778, 547, 17546, 3119, 454, 288, 3119, 1153, 4116, 779, 2816, 568, 2760, 513, 20585, 835, 543, 2242, 1169, 1554, 256, 4495, 11727, 267, 789, 666, 581, 4280, 547, 4001, 1453, 607, 1762, 607, 476, 275, 909, 547, 519, 2085, 540, 476, 1556, 269, 2334, 568, 1234, 4003, 547, 5729, 476, 277, 563, 5472, 3119, 1153, 3610, 723, 519, 5539, 547, 1544, 543, 4001, 519, 2898, 540, 519, 6437, 547, 741, 1378, 1362, 269, 3502, 1152, 713, 267, 855, 789, 616, 2141, 3238, 609, 519, 1514, 267, 3929, 267, 7214, 267, 2168, 543, 5837, 1646, 540, 741, 10453, 563, 1432, 1281, 513, 3119, 1153, 4116, 798, 888, 288, 3119, 1153, 4116, 781, 1292, 5539, 1282, 519, 1554, 568, 547, 4001, 543, 2708, 1453, 269, 1717, 267, 972, 616, 1082, 9867, 2238, 602, 513, 3119, 1153, 4116, 568, 3743, 585, 1519, 281, 3384, 543, 5807, 3617, 1514, 1983, 543, 5759, 538, 1453, 282, 30070, 543, 11121, 1453, 282, 4509, 9015, 538, 519, 4928, 282, 12570, 543, 10916, 1453, 781, 3356, 282, 5329, 909, 547, 4266, 609, 2242, 543, 1646, 547, 519, 6437, 282, 9870, 4145, 952, 789, 5469, 2152, 609, 513, 1880, 1126, 282, 2324, 609, 543, 14379, 609, 3237, 282, 2921, 851, 538, 11401, 282, 1418, 2358, 543, 10283, 538, 3063, 268, 22793, 2238, 563, 27650, 1153, 3610, 616, 849, 4397, 547, 1491, 942, 3544, 519, 3044, 2324, 1554, 547, 5965, 3450, 2326, 543, 1565, 2200, 267, 1665, 1453, 781, 960, 543, 7390, 11401, 269, 0, 19770, 543, 3345, 9705, 779, 20556, 2037, 1562, 2048, 23208, 11270, 20371, 288, 1007, 4457, 5605, 26513, 547, 3345, 9705, 8452, 538, 12877, 784, 344 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6466, 2571, 4252, 5716, 12334, 689, 513, 11280, 12334, 532, 5858, 563, 3963, 798, 789, 1289, 621, 513, 2571, 4252, 888, 763, 2012, 968, 7809, 4252, 892, 729, 2016, 547, 519, 3014, 538, 476, 4572, 277, 1317, 519, 3440, 1031, 547, 581, 2571, 282, 2705, 267, 538, 2413, 6377, 6165, 267, 519, 11084, 616, 2182, 269, 589, 29658, 4371, 538, 476, 4350, 274, 693, 519, 9628, 2622, 779, 12876, 838, 13899, 1719, 538, 519, 3014, 563, 1432, 568, 519, 16595, 513, 4807, 814, 16207, 513, 13836, 888, 763, 2871, 514, 1145, 2622, 3883, 540, 19475, 3081, 519, 16595, 12334, 2479, 16207, 676, 513, 4775, 6345, 729, 476, 7597, 544, 4877, 19544, 269, 630, 9340, 5998, 10774, 1916, 1432, 616, 519, 476, 277, 2596, 1983, 538, 2571, 4252, 13836, 888, 763, 9238, 540, 18644, 267, 20414, 267, 18530, 267, 2361, 532, 267, 543, 1666, 518, 7342, 563, 7617, 2319, 4991, 1101, 693, 10627, 888, 763, 1101, 851, 540, 1142, 538, 940, 568, 1572, 519, 1283, 540, 519, 538, 940, 610, 1283, 28451, 269, 769, 13836, 267, 519, 2476, 2319, 2141, 16835, 1101, 693, 519, 1283, 540, 519, 538, 940, 267, 1247, 519, 1753, 2319, 16835, 2034, 693, 519, 5377, 540, 519, 538, 940, 269, 1879, 1614, 16080, 616, 1500, 267, 519, 1283, 540, 519, 538, 940, 568, 936, 269, 0, 1103, 1250, 6644, 267, 519, 1079, 3344, 616, 2556, 538, 1931, 547, 1174, 3687, 5500, 779, 1915, 543, 519, 2956, 540, 519, 1909, 1352, 4249, 538, 519, 3209, 269, 1358, 12799, 1397, 519, 3604, 1063, 1200, 543, 519, 824, 2777, 2742, 1749, 269, 3687, 5500, 779, 946, 540, 1312, 8747, 540, 2296, 267, 3979, 1977, 31996, 15066, 543, 9208, 2296, 2306, 1200, 1796, 856, 689, 519, 824, 2777, 2742, 1749, 267, 1317, 1352, 568, 519, 1152, 835, 1210, 1312, 7329, 1470, 937, 338, 538, 971, 607, 2312, 1259, 269, 769, 1840, 267, 1200, 7694, 540, 26878, 11047, 543, 20451, 607, 1134, 607, 1200, 10100, 547, 1796, 909, 1996, 1200, 3043, 20148, 525, 5036, 1200, 6306, 689, 1200, 8284, 2777, 2742, 1749, 607, 1134, 269, 4475, 267, 3687, 5500, 12722, 568, 606, 9565, 1915, 538, 713, 3209, 267, 4171, 2956, 3587, 2312, 998, 1200, 1893, 543, 1200, 2623, 513, 2091, 547, 1200, 454, 3528, 606, 20822, 5856, 2663, 7000, 607, 28024, 2678, 849, 1634, 607, 26290, 29646, 623, 3559, 534, 269, 28024, 2678, 267, 513, 3043, 4807, 267, 7024, 547, 1200, 554, 32528, 630, 29309, 13945, 264, 547, 3605, 602, 1200, 3993, 569, 562, 15967, 4790, 14932, 814, 2451, 855, 1100, 835, 6645, 1018, 5949, 269, 17652, 28024, 2678, 30877, 519, 21440, 1200, 2486, 2853, 543, 16976, 547, 2328, 513, 1433, 1141, 9739, 540, 3109, 786, 581, 6659, 269, 2701, 4485, 589, 756, 850, 523, 585, 4687, 1200, 2239, 547, 799, 589, 756, 850, 523, 20781, 9797, 543, 849, 1577, 779, 3687, 5500, 538, 741, 5728, 269, 3687, 5500, 267, 589, 756, 850, 523, 779, 3659, 267, 1776, 3109, 948, 267, 8761, 513, 5728, 827, 7323, 670, 11035, 602, 5849, 7323, 670, 11035, 779, 16563, 1310, 519, 8313, 540, 741, 1603, 1788, 563, 3725, 28136, 1767, 267, 968, 2026, 594, 5249, 1250, 1259, 998, 10927, 1153, 4974, 1603, 267, 594, 2968, 4368, 730, 593, 519, 2856, 540, 14693, 10213, 28741, 24297, 779, 1650, 6100, 10801, 519, 1650, 267, 4787, 331, 2393, 779, 796, 576, 2084, 4674, 547, 2744, 811, 1702, 827, 28741, 24297, 3366, 547, 4742, 2673, 609, 1200, 1920, 269, 1703, 941, 1082, 10792, 4606, 538, 519, 4098, 267, 1813, 547, 519, 1920, 779, 10845, 2509, 454, 763, 6435, 267, 513, 3209, 676, 22186, 787, 333, 14351, 9116, 267, 6645, 519, 1650, 540, 513, 1762, 4807, 3957, 26290, 29646, 968, 306, 651, 2678, 892, 623, 3559, 534, 269, 2701, 7479, 3547, 3979, 1977, 12103, 1749, 547, 948, 2328, 513, 1433, 540, 11042, 602, 786, 6038, 1689, 519, 1259, 590, 719, 615, 2996, 1294, 741, 12103, 1749, 11014, 269, 2290, 540, 519, 1292, 3197, 267, 513, 3109, 30823, 3957, 589, 756, 850, 523, 267, 3972, 338, 28024, 2678, 1101, 543, 6645, 1200, 5863, 855, 4158, 1650, 269, 2201, 519, 824, 1688, 267, 595, 20782, 267, 513, 3043, 5580, 1647, 11665, 4807, 267, 814, 513, 12357, 2250, 602, 8032, 1200, 1272, 269, 901, 1433, 649, 2314, 513, 4190, 9661, 609, 1082, 5339, 1983, 267, 855, 3961, 267, 799, 11225, 513, 1268, 267, 7173, 5661, 1657, 782, 563, 1805, 1442, 9116, 6594, 3860, 1603, 543, 2296, 585, 1200, 15938, 1576, 689, 519, 2160, 540, 17665, 269, 3973, 1352, 6410, 547, 1715, 3840, 538, 1931, 547, 11654, 960, 538, 519, 13629, 1870, 269, 1280, 827, 8370, 1296, 1352, 6035, 1200, 2533, 538, 6725, 543, 13629, 540, 12139, 972, 543, 2663, 882, 11343, 547, 24611, 267, 11908, 269, 2701, 17146, 1200, 1719, 547, 5339, 1603, 607, 1352, 6410, 1394, 547, 3162, 269, 2991, 2947, 1296, 540, 2182, 960, 593, 1200, 2123, 1603, 1788, 1352, 6368, 1185, 634, 6435, 3370, 538, 476, 1220, 280, 563, 9288, 7566, 25264, 4446, 1258, 729, 1200, 7887, 1689, 689, 1200, 2025, 1582, 267, 1317, 1200, 4651, 1705, 711, 1450, 1200, 581, 538, 1022, 3347, 267, 855, 1352, 4682, 856, 538, 1857, 609, 25264, 968, 20142, 1516, 538, 519, 5835, 2914, 31856, 539, 1207, 1375, 344, 543, 519, 20083, 2319, 540, 536, 904, 689, 519, 561, 6116, 7123, 892, 630, 3393, 275, 1040, 9182, 267, 713, 729, 1152, 1317, 1352, 729, 2713, 538, 1200, 1378, 4641, 543, 5156, 602, 25264, 1131, 581, 519, 835, 547, 19533, 1200, 269, 25264, 729, 968, 2254, 513, 2261, 11538, 812, 892, 630, 3393, 275, 264, 543, 1131, 711, 19533, 14667, 267, 855, 1352, 15189, 547, 3398, 519, 24677, 540, 7365, 689, 1864, 267, 865, 1352, 7166, 1864, 547, 1832, 1864, 609, 1200, 11014, 269, 2701, 18423, 1369, 1200, 2777, 547, 1832, 9887, 538, 519, 6196, 3162, 269, 1879, 1352, 5143, 519, 2367, 547, 1294, 29962, 590, 691, 528, 529, 267, 1352, 729, 711, 3222, 602, 968, 8624, 517, 601, 590, 691, 528, 529, 1185, 1044, 4666, 585, 3592, 4557, 1296, 892, 630, 3393, 273, 264, 693, 602, 1448, 563, 1607, 568, 3254, 950, 519, 12103, 1749, 3858, 547, 5639, 856, 741, 2984, 1310, 962, 2544, 2904, 568, 18486, 269, 634, 2984, 5143, 538, 519, 3209, 5000, 3979, 4892, 547, 1491, 2962, 269, 634, 3209, 2982, 519, 3668, 540, 8103, 538, 12722, 17478, 4031, 269, 1452, 2021, 6813, 21440, 968, 3697, 513, 14974, 267, 1496, 1721, 621, 316, 666, 2760, 581, 23174, 1496, 553, 316, 1279, 607, 621, 568, 4988, 909, 855, 1590, 581, 8118, 609, 782, 922, 579, 6921, 1465, 892, 630, 21914, 1040, 901, 17604, 2982, 741, 15141, 1190, 3646, 547, 5639, 856, 741, 14226, 543, 21440, 282, 1100, 2339, 519, 4539, 563, 5194, 1761, 2601, 602, 30225, 27091, 2968, 29279, 547, 3288, 644, 534, 636, 568, 1317, 1352, 4718, 602, 1259, 621, 1003, 5523, 11427, 269, 12877, 651, 547, 1200, 10450, 269, 898, 568, 2693, 602, 30225, 27091, 4941, 547, 7759, 9887, 540, 519, 16203, 1352, 5433, 585, 10205, 532, 1200, 2025, 2828, 269, 2701, 729, 865, 2673, 547, 782, 540, 519, 10437, 2324, 538, 519, 10051, 2777, 267, 855, 950, 1352, 1121, 541, 3072, 543, 2968, 519, 4807, 540, 519, 2777, 267, 782, 540, 1200, 2828, 1185, 547, 1521, 1200, 8335, 269, 1403, 30225, 27091, 18423, 538, 1200, 5127, 782, 1554, 267, 1352, 1131, 711, 723, 547, 4308, 609, 1200, 8823, 540, 519, 1434, 2395, 950, 3025, 5701, 1142, 824, 8449, 269, 5487, 644, 534, 636, 1131, 849, 948, 1200, 7340, 827, 1200, 546, 712, 9393, 945, 1705, 711, 2463, 1200, 563, 9961, 519, 6602, 540, 1010, 5067, 711, 1373, 3043, 267, 646, 1025, 1868, 2677, 790, 324, 585, 1373, 519, 2014, 540, 519, 1966, 269, 1261, 4465, 1406, 3717, 856, 540, 519, 6602, 540, 1864, 1373, 519, 835, 609, 3109, 6561, 1317, 621, 568, 30849, 547, 1010, 1920, 269, 1261, 568, 1202, 17567, 543, 1131, 2864, 2800, 1010, 1378, 1920, 630, 294, 10232, 11232, 2593, 1862, 272, 264, 6271, 1383, 540, 20451, 4386, 538, 519, 1259, 602, 8496, 877, 4406, 12107, 324, 4769, 1412, 339, 723, 513, 1126, 540, 9887, 543, 835, 1554, 1247, 1200, 9393, 729, 14964, 646, 2501, 2390, 513, 1126, 1175, 18069, 1985, 547, 513, 6149, 30361, 630, 2419, 641, 514, 1862, 623, 326, 563, 15463, 3993, 729, 1360, 7453, 827, 519, 3652, 602, 941, 6854, 1996, 3109, 1004, 267, 543, 13473, 1200, 609, 7301, 4978, 269, 634, 17478, 9003, 585, 8602, 7741, 729, 6026, 547, 631, 2801, 22994, 2917, 676, 1200, 3993, 693, 606, 9565, 2085, 950, 1352, 1031, 513, 11954, 7606, 19880, 269, 968, 296, 1705, 711, 6318, 596, 547, 946, 519, 25549, 19880, 256, 1862, 901, 568, 18660, 856, 1934, 267, 631, 2801, 22994, 2917, 269, 1411, 3580, 6952, 3676, 17373, 263, 1805, 1442, 9116, 476, 9340, 994, 296, 267, 2348, 5892, 1224, 519, 3003, 1433, 267, 594, 917, 602, 621, 1281, 1739, 538, 519, 6249, 540, 15746, 269, 11534, 1833, 1373, 968, 335, 1503, 784, 539, 16970, 610, 24407, 2126, 610, 1852, 892, 568, 1018, 729, 2921, 1747, 2429, 713, 3003, 3209, 269, 901, 666, 581, 4481, 8810, 3020, 950, 513, 3915, 2501, 856, 17548, 602, 3043, 543, 17051, 666, 1100, 3476, 2671, 519, 1482, 1964, 7741, 267, 4061, 7323, 670, 11035, 1185, 513, 5094, 19880, 9112, 585, 589, 756, 850, 523, 269, 1879, 631, 2801, 22994, 2917, 8942, 547, 946, 589, 756, 850, 523, 779, 19880, 1352, 568, 695, 3139, 676, 10906, 269, 2991, 713, 568, 950, 589, 756, 850, 523, 3217, 6927, 883, 1200, 1378, 3946, 547, 4001, 631, 2801, 519, 3020, 2495, 540, 7292, 7862, 543, 3540, 454, 9515, 1287, 4682, 547, 1153, 547, 1451, 875, 547, 1831, 835, 543, 1352, 1287, 21783, 689, 968, 310, 21392, 3427, 892, 538, 476, 4198, 277, 538, 6778, 31996, 517, 267, 12924, 269, 2991, 1352, 21783, 689, 835, 1153, 267, 1352, 729, 27352, 4691, 1819, 689, 476, 4198, 277, 2394, 476, 4198, 280, 269, 3973, 693, 2085, 476, 1704, 1352, 3370, 1200, 1101, 3126, 538, 6965, 538, 513, 12139, 269, 17451, 2094, 1352, 3323, 1060, 614, 621, 3323, 547, 1491, 1055, 543, 28120, 21546, 3323, 1603, 811, 6965, 2835, 269, 28120, 21546, 729, 851, 540, 519, 1883, 9097, 15594, 602, 729, 538, 519, 6468, 1412, 338, 11873, 267, 1352, 849, 729, 835, 540, 519, 3401, 540, 519, 4139, 12339, 21442, 1895, 2094, 519, 476, 3422, 271, 779, 563, 1103, 968, 2662, 626, 4802, 1412, 543, 18844, 514, 1412, 6468, 540, 29630, 807, 281, 17402, 13756, 4595, 5441, 267, 9232, 298, 15811, 918, 16279, 615, 1924, 18255, 11339, 827, 2013, 24713, 625, 547, 3950, 519, 7924, 1646, 540, 1614, 4775, 29630, 1014, 2852, 20021, 547, 3313, 875, 2069, 666, 1689, 741, 5339, 6208, 267, 782, 540, 7247, 616, 1924, 18255, 779, 5449, 1053, 269, 1924, 18255, 7710, 875, 519, 2148, 622, 2853, 814, 3310, 741, 6009, 267, 1753, 267, 543, 2146, 269, 2701, 14550, 519, 1585, 2081, 7924, 814, 23518, 519, 1614, 2021, 269, 1924, 18255, 3096, 1200, 4681, 547, 2312, 519, 1296, 540, 2887, 4850, 689, 2069, 543, 1857, 8226, 540, 519, 29630, 1014, 2528, 269, 7335, 834, 2662, 626, 4802, 1412, 543, 18844, 514, 1412, 6468, 540, 29630, 807, 281, 17402, 13756, 4595, 5441, 257, 814, 1500, 606, 1764, 538, 1259, 594, 2070, 519, 2956, 540, 454, 1103, 519, 1439, 589, 756, 850, 523, 543, 28024, 2678, 5280, 1142, 824, 269, 2991, 519, 1433, 729, 3370, 28024, 2678, 6645, 589, 756, 850, 523, 602, 1352, 9715, 968, 320, 2816, 2709, 693, 22489, 779, 18225, 538, 1715, 3840, 607, 513, 5299, 9375, 779, 13930, 1848, 630, 275, 4200, 1040, 2701, 849, 6645, 1200, 602, 1352, 968, 20852, 547, 519, 1957, 593, 11016, 543, 16718, 892, 543, 5143, 6004, 269, 13642, 602, 1352, 5156, 589, 756, 850, 523, 1058, 1491, 1200, 5544, 563, 297, 6756, 9060, 856, 602, 2098, 2465, 2692, 568, 2836, 335, 1248, 807, 1412, 338, 1178, 2738, 517, 267, 1818, 1010, 7911, 1200, 1390, 3766, 571, 2738, 517, 267, 5900, 16307, 23216, 547, 581, 1010, 15818, 267, 952, 1152, 547, 3247, 519, 19364, 3722, 303, 689, 19480, 538, 282, 543, 5329, 873, 689, 17665, 269, 13536, 593, 267, 14639, 3217, 513, 5728, 7552, 547, 2836, 335, 1248, 807, 1152, 547, 1205, 1256, 811, 13347, 267, 1317, 2836, 335, 1248, 807, 568, 6158, 547, 1200, 713, 1259, 267, 711, 1210, 1697, 2296, 269, 1924, 2836, 335, 1248, 807, 1175, 13515, 6158, 15587 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3781, 594, 10692, 1055, 513, 1629, 4577, 22542, 15608, 2962, 4137, 269, 17610, 267, 621, 1522, 3280, 28457, 748, 267, 855, 3006, 5168, 2731, 568, 24928, 982, 5708, 269, 3767, 267, 8164, 594, 4585, 513, 29737, 7260, 267, 594, 2141, 4898, 952, 12341, 267, 6456, 1369, 519, 14604, 267, 6013, 1776, 26862, 9661, 7996, 547, 11200, 538, 938, 1158, 269, 2991, 782, 267, 1148, 708, 527, 919, 1272, 267, 543, 1272, 6157, 14560, 547, 708, 10028, 1148, 269, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 10527, 4670, 5956, 609, 645, 4459, 645, 16037, 630, 7033, 774, 558, 3205, 2073, 689, 630, 630, 667, 3326, 2006, 554, 3558, 327, 10884, 547, 1205, 547, 519, 4884, 540, 623, 1695, 2393, 320, 2073, 1141, 646, 13290, 547, 1265, 513, 8004, 3957, 29237, 717, 5424, 630, 9253, 20811, 2142, 15590, 2073, 945, 729, 695, 14725, 5287, 547, 476, 1556, 6279, 538, 630, 630, 14068, 932, 2335, 1564, 2073, 547, 6961, 547, 1200, 602, 1352, 781, 711, 4805, 1547, 476, 11531, 2073, 519, 4670, 11912, 547, 7225, 603, 27578, 2073, 945, 814, 513, 3781, 332, 732, 827, 519, 2621, 602, 5949, 538, 519, 3105, 4670, 513, 1032, 1354, 1547, 476, 17451, 2094, 519, 2621, 602, 3576, 1747, 513, 1032, 1354, 2073, 7225, 603, 814, 1044, 8384, 519, 23625, 1633, 654, 732, 5264, 2073, 18468, 602, 519, 9162, 616, 1869, 9800, 1547, 476, 11531, 2073, 513, 536, 636, 9397, 883, 519, 654, 732, 5264, 2073, 543, 6238, 547, 3190, 1472, 609, 513, 804, 1144, 28886, 19564, 2073, 2394, 646, 4991, 5679, 18088, 538, 519, 2212, 609, 513, 4216, 540, 9162, 2073, 4929, 1864, 547, 5734, 1010, 2212, 593, 519, 2666, 2073, 11318, 1864, 1547, 476, 1717, 2073, 1010, 1973, 5170, 547, 2095, 936, 547, 519, 1747, 1141, 519, 27313, 729, 12617, 2073, 543, 6770, 1394, 2433, 17926, 744, 3591, 773, 30751, 2073, 10793, 31105, 2073, 6004, 269, 853, 1738, 2073, 543, 713, 942, 6770, 909, 513, 1007, 20740, 11442, 3957, 2098, 4861, 2884, 1355, 2073, 513, 1025, 27475, 22542, 808, 302, 292, 2962, 4137, 530, 328, 10640, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 1684, 711, 1376, 609, 5220, 899, 476, 834, 5629, 2390, 513, 942, 257, 607, 713, 568, 513, 14703, 2022, 543, 711, 513, 3209, 267, 596, 1058, 849, 2057, 4358, 609, 5929, 5220, 899, 834, 288, 1906, 1296, 3516, 257, 610, 834, 288, 1906, 1296, 1394, 2580, 581, 3860, 269, 0, 6092, 5149, 281, 3220, 269, 20844, 717, 6759, 1889, 345, 268, 5226, 328, 10722, 2158, 543, 519, 14716, 540, 11204, 270, 2419, 4618, 334, 14740, 998, 3778, 267, 18623, 1222, 267, 543, 2920, 13659, 692, 1103, 713, 1576, 1770, 267, 649, 786, 5490, 883, 519, 1272, 543, 960, 540, 3220, 269, 20844, 717, 6759, 1889, 345, 268, 5226, 328, 10722, 2158, 630, 297, 294, 304, 1070, 513, 19416, 4137, 538, 11204, 543, 932, 4618, 334, 7214, 1686, 269, 1284, 786, 2263, 875, 808, 294, 304, 781, 7418, 547, 932, 545, 3570, 270, 334, 2090, 723, 8032, 938, 1620, 540, 5198, 543, 14940, 538, 5824, 3013, 543, 3564, 269, 3414, 606, 6514, 540, 1010, 14046, 1568, 267, 17933, 267, 543, 30023, 267, 649, 786, 5659, 519, 10848, 540, 11204, 543, 932, 4618, 334, 3961, 5250, 267, 922, 3140, 5072, 267, 543, 4207, 6286, 780, 272, 269, 8466, 12745, 281, 5487, 674, 1258, 614, 320, 543, 4033, 1436, 692, 763, 772, 2529, 11607, 300, 1410, 4815, 8473, 267, 610, 3288, 18651, 614, 320, 267, 814, 1279, 1044, 513, 3135, 540, 2686, 5385, 267, 4655, 267, 543, 19908, 269, 901, 10465, 814, 849, 6039, 607, 513, 3532, 3090, 540, 519, 7292, 543, 6803, 15523, 1063, 5165, 15092, 543, 4892, 269, 769, 713, 3296, 267, 649, 786, 1865, 519, 3140, 2796, 540, 3288, 18651, 614, 320, 267, 1519, 519, 15521, 540, 2871, 611, 2728, 701, 670, 10537, 2998, 630, 7277, 279, 1070, 799, 3964, 519, 2413, 8473, 267, 543, 519, 4858, 1356, 334, 5358, 630, 3707, 273, 268, 3422, 275, 1070, 799, 4547, 6634, 540, 11204, 4600, 547, 519, 2136, 2276, 269, 1284, 786, 4983, 875, 891, 2621, 8329, 547, 519, 30886, 543, 588, 25634, 1436, 540, 5165, 15092, 543, 932, 4618, 657, 267, 5935, 519, 1514, 5251, 602, 808, 294, 304, 1131, 2663, 4497, 609, 998, 1010, 14172, 543, 17933, 780, 272, 269, 25827, 25043, 281, 26787, 932, 545, 3570, 270, 334, 5525, 692, 26589, 2515, 8284, 5640, 971, 607, 717, 3271, 807, 1323, 345, 12245, 14243, 320, 267, 2549, 2946, 878, 334, 623, 1563, 525, 267, 543, 21877, 623, 2946, 30959, 267, 808, 294, 304, 5129, 513, 11358, 1909, 538, 9591, 519, 2361, 540, 932, 545, 3570, 270, 334, 2090, 269, 901, 15834, 1935, 11394, 547, 1174, 519, 2833, 540, 11204, 4892, 676, 6313, 741, 12583, 267, 4529, 267, 543, 8739, 27791, 9620, 269, 769, 713, 3296, 267, 649, 786, 1353, 519, 1883, 6436, 543, 16097, 2919, 1369, 932, 545, 3570, 270, 334, 2090, 267, 9878, 1880, 3007, 547, 808, 294, 304, 781, 1523, 540, 834, 6652, 638, 5995, 2437, 799, 4016, 547, 519, 3860, 543, 4199, 995, 9542, 540, 11204, 543, 6805, 4529, 538, 3210, 547, 15746, 543, 30886, 780, 272, 269, 7647, 8765, 19928, 1903, 281, 5675, 932, 545, 3570, 270, 334, 2876, 1559, 692, 3080, 540, 808, 294, 304, 781, 1034, 1713, 23543, 6013, 538, 1010, 14262, 1382, 593, 932, 545, 3570, 270, 334, 1686, 267, 4074, 267, 6214, 267, 543, 2528, 269, 3571, 3875, 2835, 543, 4930, 267, 971, 607, 834, 2419, 4618, 334, 15348, 281, 18712, 543, 8871, 1047, 257, 630, 3192, 274, 1070, 834, 305, 334, 1824, 540, 932, 4618, 334, 15348, 281, 476, 8182, 271, 268, 3707, 271, 257, 630, 1960, 271, 1070, 543, 834, 300, 1410, 4618, 1977, 8534, 267, 476, 9692, 271, 268, 1960, 271, 257, 630, 1960, 275, 1070, 1683, 2565, 4030, 883, 519, 3140, 3157, 602, 723, 8032, 11204, 543, 932, 4618, 334, 9163, 269, 1635, 7421, 891, 5931, 267, 649, 786, 2263, 4798, 899, 9194, 267, 4187, 267, 543, 6043, 267, 11744, 875, 808, 294, 304, 781, 960, 2591, 2757, 6386, 827, 5824, 343, 2950, 538, 519, 2136, 2276, 780, 272, 269, 22895, 11208, 543, 11572, 11059, 281, 715, 4669, 1005, 15557, 543, 4317, 7827, 692, 19741, 1010, 4081, 18697, 267, 808, 294, 304, 729, 7184, 8149, 547, 29013, 6932, 5640, 543, 2502, 538, 2797, 2962, 269, 10801, 1010, 4876, 267, 646, 15695, 9118, 1053, 543, 19658, 19929, 1063, 19174, 267, 2146, 25696, 267, 543, 14519, 269, 769, 713, 3296, 267, 649, 786, 8495, 519, 1764, 540, 808, 294, 304, 781, 30023, 593, 519, 1646, 540, 932, 545, 3570, 270, 334, 2090, 543, 2015, 875, 1010, 24099, 4485, 1522, 1217, 4207, 5717, 1472, 4763, 267, 10014, 267, 543, 1514, 5126, 269, 3958, 267, 649, 786, 2708, 808, 294, 304, 781, 9525, 538, 1585, 2797, 5322, 267, 20515, 519, 2081, 538, 799, 1010, 14172, 5483, 1010, 17933, 543, 13030, 17930, 780, 272, 269, 12634, 20480, 281, 17813, 267, 23532, 640, 267, 543, 27079, 4133, 538, 519, 476, 2641, 560, 11416, 692, 7661, 267, 649, 786, 1921, 808, 294, 304, 781, 9371, 547, 1699, 3466, 543, 9840, 4478, 5198, 267, 14940, 267, 543, 8473, 4133, 538, 519, 8938, 23867, 2540, 269, 11762, 949, 1331, 11776, 3609, 267, 2681, 1143, 267, 1232, 565, 11102, 3069, 267, 543, 30427, 17604, 269, 3414, 1895, 5717, 267, 2013, 2090, 267, 543, 14436, 1603, 10467, 267, 1053, 786, 9691, 6218, 519, 5571, 10083, 540, 808, 294, 304, 781, 960, 543, 2697, 3255, 585, 2417, 1382, 543, 6278, 780, 9961, 713, 1576, 1770, 267, 1053, 786, 2744, 513, 2620, 7071, 585, 519, 1272, 543, 960, 540, 3220, 269, 20844, 717, 6759, 1889, 345, 268, 5226, 328, 10722, 2158, 543, 519, 7096, 3310, 646, 1185, 593, 519, 4610, 540, 5824, 1977, 543, 932, 545, 3570, 270, 334, 2090, 269, 5047, 267, 789, 786, 1451, 547, 1589, 9691, 827, 519, 4070, 540, 11204, 543, 932, 4618, 334, 9163, 2066, 10665, 267, 5481, 267, 543, 10459, 267, 5807, 513, 811, 13857, 1620, 540, 5198, 543, 14940, 538, 1312, 3140, 543, 4207, 8658, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 307, 11698, 267, 5437, 476, 1556, 267, 476, 1708, 271, 7436, 835, 540, 519, 521, 5417, 652, 2395, 540, 1250, 1272, 269, 2201, 713, 1554, 267, 649, 9789, 11204, 1004, 593, 1312, 5011, 540, 3288, 18651, 614, 320, 543, 938, 16167, 1765, 331, 739, 513, 10828, 281, 519, 835, 543, 1152, 267, 3220, 269, 20844, 717, 6759, 1889, 345, 268, 5226, 328, 10722, 2158, 630, 297, 294, 304, 1916, 2171, 4503, 835, 540, 519, 6574, 30921, 711, 1152, 538, 519, 17113, 267, 855, 849, 519, 1158, 269, 634, 1249, 602, 808, 294, 304, 729, 4535, 513, 11204, 538, 1714, 1147, 630, 13640, 1537, 267, 932, 8811, 340, 1695, 7699, 267, 6792, 264, 543, 5747, 513, 10583, 11204, 270, 2419, 4618, 334, 538, 1714, 14926, 324, 630, 299, 657, 13353, 267, 4993, 264, 538, 513, 942, 950, 519, 11204, 5170, 547, 581, 824, 1242, 267, 12790, 543, 890, 329, 528, 520, 1242, 5713, 607, 513, 1989, 574, 12576, 540, 713, 1390, 2530, 585, 3288, 986, 5633, 563, 2690, 936, 476, 2004, 1296, 267, 808, 294, 304, 6131, 1010, 1272, 547, 10575, 3424, 519, 1004, 540, 519, 3141, 998, 1010, 9120, 14172, 267, 6131, 30023, 267, 2797, 3527, 543, 1714, 13228, 550, 1913, 269, 2755, 1010, 7418, 616, 1082, 267, 585, 519, 19160, 540, 2230, 267, 1934, 979, 513, 1906, 281, 5206, 5929, 2835, 543, 4930, 593, 932, 545, 3570, 270, 334, 1686, 267, 4074, 267, 6214, 543, 2528, 282, 5280, 3715, 519, 7811, 13210, 540, 932, 545, 3570, 543, 932, 4618, 334, 2090, 267, 2059, 609, 512, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 25886, 1315, 5824, 3013, 1315, 4937, 1315, 17813, 543, 23532, 640, 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, 3848, 476, 1691, 281, 11906, 22948, 543, 6481, 3427, 19369, 692, 13981, 20505, 912, 3528, 519, 1439, 540, 713, 3184, 267, 596, 786, 581, 2111, 547, 1384, 265, 13760, 519, 4909, 3741, 540, 3114, 3157, 602, 616, 4143, 547, 2564, 1153, 7041, 454, 265, 21302, 875, 891, 3741, 4019, 547, 1483, 8996, 3871, 454, 265, 15233, 707, 1702, 540, 3114, 3157, 547, 4194, 2042, 4122, 11402, 538, 4915, 692, 7072, 692, 1103, 2221, 781, 1158, 267, 7998, 4249, 513, 2565, 1909, 538, 3782, 543, 4915, 269, 1306, 513, 840, 2173, 539, 2875, 267, 11543, 513, 2620, 1620, 540, 3114, 3157, 666, 948, 5965, 596, 585, 1967, 593, 519, 14330, 2969, 543, 3564, 269, 901, 3184, 6212, 593, 1883, 3114, 3157, 602, 616, 1898, 585, 2564, 1153, 7041, 269, 1284, 786, 2263, 3584, 971, 607, 32721, 267, 737, 27282, 267, 3679, 1532, 848, 1226, 9902, 6319, 267, 6850, 322, 13511, 267, 543, 21655, 269, 1635, 6313, 891, 3584, 998, 513, 1483, 8996, 7828, 267, 596, 786, 2744, 3407, 4030, 883, 875, 3114, 3157, 1860, 1480, 1072, 543, 2068, 780, 307, 615, 332, 19392, 281, 634, 5530, 540, 6052, 15448, 692, 307, 615, 332, 19392, 568, 519, 1353, 540, 1648, 2242, 602, 2049, 1282, 3114, 6547, 269, 769, 1880, 267, 1079, 1271, 4031, 1827, 32721, 281, 519, 1101, 1876, 540, 32721, 267, 799, 2829, 602, 1648, 3112, 581, 2813, 610, 10032, 267, 1152, 9927, 282 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 11404, 267, 20900, 570, 269, 24415, 29773, 267, 21835, 540, 16680, 267, 7325, 773, 589, 269, 13259, 27231, 267, 12253, 918, 269, 9294, 518, 267, 18628, 4521, 3427, 4741, 585, 5769, 543, 5980, 267, 18628, 267, 11404, 267, 670, 7676, 1627, 269, 20944, 1206, 577, 1779, 267, 8349, 2106, 808, 269, 12876, 1652, 267, 24747, 518, 17832, 326, 744, 262, 291, 517, 24274, 700, 10861, 267, 28631, 267, 2910, 267, 585, 8891, 819, 619, 269, 18496, 645, 269, 7638, 18115, 328, 267, 12789, 1421, 3752, 545, 3218, 4937, 267, 21835, 540, 16680, 267, 25414, 4639, 267, 19608, 30374, 4937, 267, 29346, 700, 269, 26791, 267, 3493, 14280, 3752, 545, 3218, 4937, 267, 9253, 20811, 1488, 24650, 15593, 787, 267, 19608, 547, 519, 3752, 545, 3218, 9198, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 310, 15674, 2598, 335, 1393, 5590, 25557, 31469, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 4139, 1315, 13188, 1299, 11780, 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, 547, 938, 3408, 540, 7226, 26610, 256, 5620, 596, 2479, 16545, 1018, 621, 1131, 581, 899, 952, 707, 5172, 6288, 10393, 3893, 4130, 286, 9320, 930, 2694, 941, 3144, 2476, 547, 1628, 8075, 610, 15945, 269, 2334, 781, 2147, 547, 1018, 4523, 950, 9249, 1831, 27929, 1107, 789, 2736, 909, 883, 4130, 4773, 1813, 547, 1480, 2238, 899, 2679, 9897, 267, 5969, 1524, 4054, 267, 610, 2870, 11396, 269, 4653, 267, 1577, 781, 4685, 883, 713, 4241, 1888, 543, 1451, 827, 922, 4276, 547, 3676, 602, 666, 3262, 1063, 2831, 543, 3425, 780, 5331, 596, 2661, 2282, 513, 4190, 267, 18932, 4104, 4904, 609, 782, 5686, 540, 7068, 269, 1703, 616, 6263, 1814, 1562, 1572, 23224, 630, 3697, 8983, 543, 14148, 264, 945, 4163, 2189, 17900, 1634, 607, 13596, 269, 1452, 2370, 16921, 1810, 1406, 1205, 7210, 689, 891, 17900, 267, 855, 3006, 1004, 798, 950, 789, 2097, 538, 3346, 609, 873, 269, 12207, 723, 4362, 835, 1826, 540, 23633, 24059, 3957, 2274, 696, 2214, 4275, 2713, 3330, 891, 23224, 269, 9462, 494, 511, 692, 3086, 4952, 972, 781, 4070, 2469, 593, 1472, 519, 4104, 269, 4658, 1376, 21757, 856, 2127, 543, 7432, 873, 883, 3484, 4133, 543, 14252, 269, 1306, 513, 1267, 267, 11353, 540, 519, 4104, 616, 9674, 689, 1142, 824, 267, 8108, 9678, 15649, 269, 901, 1184, 568, 1572, 7226, 26610, 269, 9462, 490, 367, 6930, 504, 356, 692, 2026, 7733, 16756, 543, 1205, 7745, 6306, 267, 3173, 8068, 1945, 4277, 910, 811, 1004, 941, 3478, 7210, 689, 1346, 1482, 2274, 696, 2214, 4275, 4551, 1336, 538, 519, 23224, 256, 1215, 1705, 713, 4755, 286, 4270, 267, 3744, 3323, 14236, 543, 1500, 1896, 8906, 780, 5575, 267, 607, 7733, 2968, 4130, 267, 1978, 2249, 540, 23224, 20374, 1247, 1866, 4278, 1882, 269, 898, 5828, 856, 602, 519, 3283, 2451, 3297, 1185, 2362, 8458, 540, 8876, 2274, 696, 2214, 4275, 269, 19627, 267, 1004, 3459, 15025, 8335, 609, 741, 1604, 282, 3079, 540, 1175, 6972, 538, 519, 18137, 267, 11570, 1631, 3484, 539, 519, 2244, 543, 3357, 6251, 547, 519, 6967, 887, 4823, 5095, 269, 14936, 267, 519, 12012, 5251, 3366, 547, 2799, 1216, 2095, 689, 632, 10809, 539, 15113, 1938, 267, 4611, 538, 20115, 540, 24715, 656, 1216, 1472, 5321, 269, 2871, 612, 1018, 5949, 1985, 286, 962, 1575, 267, 519, 2199, 23224, 1031, 1346, 30077, 956, 1932, 1862, 663, 865, 1705, 519, 2274, 696, 2214, 4275, 1369, 873, 269, 9462, 502, 367, 692, 763, 4999, 540, 891, 2188, 8507, 538, 513, 3152, 4960, 540, 4598, 547, 2274, 696, 2214, 4275, 1851, 1004, 2713, 2282, 519, 27929, 9249, 269, 1879, 2576, 2501, 538, 1463, 3346, 609, 606, 7783, 3662, 610, 1256, 18549, 998, 13572, 3037, 610, 1216, 267, 972, 781, 513, 7872, 789, 1522, 10536, 519, 2068, 269, 1924, 267, 8497, 3677, 4448, 9249, 2337, 1832, 1312, 7320, 543, 1004, 8902, 2439, 4131, 781, 973, 777, 1384, 272, 269, 5274, 2238, 666, 1689, 5054, 267, 4929, 9249, 547, 1831, 4130, 543, 30890, 563, 273, 269, 6270, 2242, 949, 1291, 547, 606, 2333, 538, 519, 1297, 540, 19057, 540, 1978, 3676, 1851, 3552, 2831, 563, 274, 269, 1715, 4205, 1063, 1004, 267, 2831, 267, 543, 741, 9168, 10450, 1711, 3255, 585, 2068, 6771, 563, 275, 269, 18227, 1804, 267, 4448, 9249, 2640, 519, 1072, 540, 1312, 7320, 543, 3425, 7567, 2439, 3674, 333, 1405, 621, 5863, 875, 1454, 1764, 649, 666, 723, 593, 2470, 543, 6000, 286, 1635, 1620, 7226, 26610, 543, 922, 4539, 267, 649, 666, 1732, 5660, 938, 1909, 538, 7863, 8134, 543, 5009, 1857, 1072, 269, 8414, 3695, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 14549, 2238, 666, 2333, 610, 6175, 4220, 540, 16565, 513, 1990, 3019, 5328, 2068, 267, 16113, 676, 7133, 519, 5888, 543, 11606, 540, 14747, 269, 901, 1353, 11567, 519, 6402, 1063, 2244, 946, 543, 11763, 2068, 1981, 538, 22583, 28801, 267, 1141, 1480, 7449, 14571, 2238, 543, 2551, 2208, 616, 1958, 549, 2286, 593, 5065, 9249, 543, 519, 2404, 1979, 7974, 269, 1284, 6394, 1007, 1239, 593, 23633, 2274, 696, 2214, 4275, 267, 799, 616, 4551, 9738, 538, 1507, 25850, 23854, 269, 28298, 666, 2049, 998, 2673, 3346, 267, 855, 1034, 4749, 998, 9940, 3346, 609, 1216, 13572, 676, 519, 10729, 540, 7783, 14747, 269, 634, 5506, 540, 3968, 543, 9860, 729, 3379, 2066, 513, 13506, 540, 2067, 5848, 28033, 4104, 267, 7404, 4104, 15998, 267, 27876, 7573, 543, 824, 2010, 540, 6694, 4610, 267, 543, 538, 5321, 538, 513, 6917, 8498, 269, 4635, 891, 1239, 267, 649, 7318, 1808, 19165, 585, 875, 2244, 946, 32290, 8733, 2950, 543, 7506, 2068, 6771, 269, 634, 3448, 11606, 543, 605, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 295, 629, 18945, 32746, 7695, 257, 607, 851, 540, 834, 2793, 307, 13543, 1315, 23270, 338, 1299, 13206, 527, 1846, 1315, 4937, 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, 476, 272, 269, 274, 11137, 540, 519, 6092, 692, 1103, 713, 3803, 3296, 540, 938, 6679, 3184, 267, 649, 786, 1683, 606, 7650, 540, 519, 1576, 607, 513, 2898, 267, 10223, 519, 1292, 3584, 543, 4798, 602, 786, 581, 8268, 2429, 519, 14230, 540, 519, 1837, 269, 3776, 2832, 568, 547, 16491, 596, 609, 1312, 7811, 1702, 543, 4052, 1983, 2556, 547, 1174, 543, 5659, 13354, 13313, 2066, 1114, 2477, 543, 8658, 269, 1284, 786, 3035, 713, 676, 6313, 1585, 3029, 543, 19183, 540, 13313, 267, 922, 3123, 543, 4539, 267, 607, 1134, 607, 4540, 4550, 2275, 528, 8306, 3800, 543, 2994, 780, 763, 1353, 540, 13354, 13313, 3091, 4241, 4030, 883, 875, 1379, 6384, 267, 2797, 5238, 267, 2804, 2188, 267, 1514, 8155, 267, 543, 2686, 2418, 3337, 18348, 2623, 1472, 519, 1158, 269, 1635, 12561, 513, 3444, 5991, 1049, 5133, 267, 649, 666, 2697, 1455, 3270, 543, 7648, 538, 13313, 2157, 267, 2010, 267, 543, 3466, 267, 7551, 5807, 811, 5483, 9840, 827, 1018, 1568, 1107, 543, 1018, 3085, 1405, 1107, 950, 621, 2501, 547, 28530, 21910, 543, 6057, 540, 1857, 5604, 780, 2414, 2327, 22759, 543, 6278, 267, 1142, 7766, 3184, 786, 1246, 513, 2147, 2497, 281, 3689, 267, 649, 786, 6338, 1883, 2035, 543, 6436, 1644, 547, 519, 2016, 6249, 282, 2034, 267, 649, 786, 9414, 891, 2093, 998, 6405, 2665, 543, 12170, 2963, 689, 3309, 4525, 282, 3791, 267, 649, 786, 9691, 6218, 519, 9342, 543, 7687, 540, 1585, 27696, 4485, 1031, 547, 2268, 543, 5635, 13313, 18368, 282, 6368, 267, 649, 786, 2992, 2390, 3609, 6286, 543, 2104, 1382, 8846, 780, 6637, 5565, 267, 834, 23777, 3098, 543, 20970, 2437, 12538, 883, 1585, 2081, 538, 799, 13313, 814, 1044, 19040, 543, 12290, 538, 4081, 3332, 543, 19995, 10580, 269, 3371, 267, 649, 10646, 1063, 6264, 8957, 4620, 1399, 13313, 267, 1533, 7001, 267, 19121, 720, 267, 683, 13607, 1143, 267, 7817, 601, 1143, 267, 543, 824, 3029, 540, 23659, 29342, 766, 269, 5015, 267, 649, 2689, 2101, 17523, 6964, 547, 7584, 2477, 2687, 547, 741, 9228, 1377, 540, 8699, 267, 971, 607, 3690, 10337, 4139, 781, 4856, 8306, 3131, 8526, 12039, 630, 9573, 296, 1070, 519, 2622, 7813, 4659, 781, 6513, 540, 4856, 8306, 25824, 1807, 630, 290, 5746, 1070, 543, 1866, 269, 901, 2636, 721, 547, 5660, 519, 2591, 3238, 538, 13830, 1950, 9259, 899, 13313, 1210, 11050, 10832, 543, 7512, 2565, 3206, 3823, 1761, 12886, 543, 25354, 2404, 609, 873, 780, 19465, 593, 713, 5748, 267, 3848, 8422, 267, 834, 303, 11823, 30543, 543, 26291, 23113, 2437, 27180, 519, 1909, 540, 6101, 3652, 267, 13016, 2853, 267, 543, 10721, 12417, 538, 5935, 13313, 16426, 1369, 2229, 8041, 267, 9777, 2137, 267, 4140, 545, 25808, 267, 543, 824, 1857, 4703, 269, 1284, 1865, 25761, 1568, 10771, 519, 2956, 540, 11974, 543, 21356, 267, 9668, 540, 7060, 267, 11413, 267, 12477, 267, 7589, 267, 543, 4341, 540, 1876, 538, 19086, 18348, 21274, 269, 3958, 267, 649, 2263, 875, 21146, 1949, 267, 5428, 8804, 6042, 267, 3540, 3028, 15024, 267, 1569, 547, 1344, 7341, 267, 543, 27646, 321, 12294, 4027, 6127, 666, 4196, 607, 3407, 2645, 1996, 23659, 324, 9586, 2932, 780, 9202, 267, 3848, 9050, 267, 834, 30356, 11790, 543, 4886, 27159, 2437, 29506, 3278, 519, 6946, 2078, 1063, 13313, 267, 2804, 2208, 267, 4747, 3892, 267, 6710, 5786, 267, 543, 1480, 1646, 269, 14301, 593, 9565, 2090, 267, 649, 6542, 875, 28302, 2238, 24183, 2344, 4398, 267, 17225, 5092, 8928, 267, 22652, 14227, 13103, 267, 28511, 9979, 540, 22975, 267, 543, 2144, 1712, 3972, 538, 11180, 5238, 269, 5047, 267, 649, 4983, 519, 6708, 547, 799, 2067, 4199, 5763, 267, 4914, 5351, 267, 4123, 22371, 267, 2883, 5823, 7939, 267, 543, 4357, 5823, 10350, 3565, 547, 610, 13468, 18348, 2853, 2066, 1114, 5468, 780, 300, 8221, 3564, 6469, 9270, 267, 3848, 12866, 267, 834, 9558, 20139, 2920, 832, 543, 6820, 18868, 2437, 3376, 839, 519, 7828, 547, 6451, 3486, 7516, 540, 13354, 13313, 269, 13018, 267, 649, 8495, 875, 1617, 10561, 3906, 267, 6237, 1025, 665, 338, 267, 1875, 3766, 21194, 9988, 267, 543, 2518, 3761, 11800, 2170, 609, 3084, 6608, 547, 2901, 6536, 610, 15641, 324, 18348, 5615, 269, 769, 3257, 865, 267, 649, 8774, 1769, 593, 2152, 17640, 547, 2724, 561, 879, 837, 532, 267, 3454, 859, 5235, 267, 6896, 6760, 267, 6880, 13062, 830, 267, 2825, 12159, 267, 4074, 14226, 267, 543, 1480, 19338, 267, 1851, 1866, 780, 15563, 267, 3848, 14520, 267, 834, 12901, 328, 4211, 528, 8306, 11150, 543, 7454, 13756, 2437, 13754, 3278, 4245, 4121, 689, 3105, 5717, 543, 14592, 29829, 7840, 585, 14519, 267, 3540, 2486, 15628, 267, 1870, 3401, 267, 543, 7255, 4961, 5275, 547, 8396, 13313, 3927, 269, 1677, 713, 1439, 267, 649, 5619, 3811, 7459, 8045, 538, 1585, 2694, 540, 519, 1158, 267, 7421, 741, 5817, 3741, 267, 7175, 2175, 267, 543, 18187, 1464, 16548, 269, 1284, 849, 2232, 5683, 21140, 5185, 676, 11051, 7722, 538, 4550, 3766, 2761, 3646, 267, 28409, 13657, 1996, 26516, 4539, 543, 5009, 16846, 2032, 607, 513, 22294, 540, 4264, 3356, 780, 9961, 713, 3460, 267, 649, 5000, 3742, 1565, 3842, 1895, 5751, 267, 2013, 2090, 267, 13502, 267, 9840, 267, 14245, 267, 543, 8086, 4574, 2966, 547, 15052, 1620, 543, 32260, 10763, 1983, 269, 11086, 267, 938, 3804, 568, 711, 1152, 547, 18836, 23610, 1702, 855, 849, 547, 11349 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 281, 513, 2689, 763, 1657, 5018, 2825, 543, 1072, 4145, 23608, 1813, 547, 7050, 5070, 5599, 543, 13250, 540, 4853, 3653, 7125, 585, 930, 15164, 3681, 585, 2825, 6940, 3849, 9016, 1161, 1031, 585, 1818, 519, 22285, 2179, 543, 1826, 540, 563, 14257, 476, 2764, 476, 1708, 271, 5070, 519, 9096, 1210, 513, 5386, 3766, 761, 5070, 17549, 5475, 519, 29194, 568, 1305, 5070, 519, 3003, 5057, 1586, 609, 513, 32067, 3766, 761, 5070, 17549, 971, 607, 476, 5197, 610, 476, 13136, 3766, 761, 5475, 713, 5070, 532, 3136, 547, 4019, 29194, 610, 5862, 607, 5551, 5070, 532, 1063, 1142, 3498, 609, 513, 5386, 3766, 761, 5070, 17549, 563, 13971, 476, 4905, 476, 1001, 276, 1336, 787, 5070, 849, 1634, 607, 16213, 5070, 5161, 5097, 540, 2973, 25144, 21092, 1164, 7779, 21958, 5070, 602, 568, 27433, 547, 1106, 28633, 585, 7542, 9317, 4401, 543, 5374, 543, 1875, 2536, 9317, 7601, 11956, 21567, 4496, 5641, 902, 763, 1034, 1455, 16213, 1184, 1031, 538, 519, 1336, 787, 2872, 568, 519, 5070, 5641, 1062, 563, 23895, 618, 5070, 543, 14919, 616, 2596, 2115, 585, 1022, 4070, 2872, 306, 663, 568, 513, 6305, 1570, 1031, 585, 7041, 540, 27341, 543, 6405, 543, 799, 4249, 513, 2101, 1909, 538, 3575, 1374, 563, 19770, 26459, 5070, 16213, 9755, 910, 2824, 476, 1708, 272, 1164, 2298, 26459, 5070, 16213, 2472, 538, 1655, 3902, 689, 14468, 24349, 16213, 9755, 5884, 16213, 14273, 17783, 531, 619, 543, 12051, 593, 1500, 2987, 7302, 2088, 563, 18850, 7875, 766, 547, 2067, 5070, 5599, 786, 2569, 2005, 666, 849, 1832, 607, 621, 568, 519, 9265, 9928, 2100, 540, 519, 1353, 713, 1382, 568, 3908, 547, 1472, 795, 574, 2742, 4884, 799, 568, 22236, 540, 2802, 11340, 807, 763, 1382, 4988, 8159, 519, 2360, 540, 2067, 5070, 10682, 609, 14475, 5070, 540, 524, 268, 1839, 6405, 3601, 563, 291, 2858, 1227, 32290, 5757, 2095, 2144, 3941, 5757, 3316, 802, 1743, 625, 909, 29815, 2456, 24506, 1216, 7515, 543, 28368, 19126, 543, 21996, 1892, 3096, 281, 4837, 1818, 28633, 585, 4496, 563, 15037, 476, 4962, 476, 1708, 271, 621, 568, 24045, 547, 519, 4264, 5070, 2359, 4808, 476, 1001, 277, 799, 6212, 593, 519, 2359, 540, 5070, 5599, 538, 519, 2197, 25889, 519, 15183, 543, 6886, 1646, 543, 7939, 957, 476, 4198, 278, 814, 23518, 1533, 6608, 547, 1118, 3652, 547, 2061, 10363, 5599, 6283, 543, 4859, 540, 6886, 563, 7628, 519, 1184, 10936, 930, 1216, 2791, 786, 1294, 602, 621, 779, 2614, 950, 707, 7848, 568, 2111, 547, 2226, 513, 1106, 1607, 3039, 5070, 4542, 568, 2324, 2005, 568, 2009, 547, 946, 713, 27724, 5070, 1586, 543, 1586, 563, 14197, 3268, 547, 5070, 16213, 5070, 16213, 568, 513, 1184, 602, 3096, 513, 9044, 1500, 689, 2901, 4496, 3574, 21958, 5070, 476, 273, 9044, 540, 1843, 476, 274, 300, 7742, 271, 6964, 593, 21958, 5070, 11067, 2030, 585, 22068, 3821, 5070, 5599, 1870, 814, 811, 982, 23060, 2094, 476, 1220, 280, 1317, 540, 519, 991, 585, 713, 1880, 563, 13202, 476, 2918, 476, 1001, 279, 21958, 5070, 568, 519, 1292, 7777, 1031, 607, 1336, 787, 5070, 543, 2808, 607, 835, 540, 519, 1271, 4853, 6886, 538, 4731, 904, 807, 1103, 4731, 904, 807, 21958, 5070, 568, 5833, 689, 5070, 5599, 2067, 5070, 543, 608, 2389, 514, 5599, 2766, 532, 5070, 22416, 904, 807, 814, 606, 6059, 4199, 540, 476, 25953, 544, 339, 540, 21958, 5070, 540, 799, 476, 16825, 544, 339, 616, 2067, 21958, 543, 476, 5392, 273, 544, 339, 2766, 532, 5070, 563, 9802, 476, 2918, 476, 1001, 276, 2360, 540, 22285, 532, 5070, 15449, 3809, 5423, 689, 519, 10659, 540, 2185, 17114, 540, 21432, 543, 5386, 9325, 2450, 23399, 543, 26311, 5210, 9867, 689, 476, 10384, 476, 16020, 543, 476, 8517, 476, 1015, 524, 941, 6594, 593, 519, 21052, 11188, 13920, 4222, 543, 2890, 560, 4450, 540, 5641, 26459, 16537, 976, 1031, 538, 17453, 20347, 4487, 12718, 563, 9802, 476, 2918, 476, 1001, 276, 519, 22285, 532, 5070, 729, 5423, 689, 519, 4999, 540, 1164, 21432, 5070, 476, 14093, 271, 476, 4968, 544, 547, 1970, 5386, 476, 4968, 476, 4037, 544, 5070, 9325, 7306, 547, 2285, 26815, 1164, 27978, 11947, 27978, 540, 22285, 532, 5070, 476, 3199, 2433, 476, 736, 21432, 1922, 710, 12753, 4847, 519, 9101, 540, 9362, 543, 2011, 18616, 602, 1131, 723, 1303, 571, 5529, 538, 519, 22285, 7551, 2810, 519, 563, 300, 13783, 5070, 568, 693, 519, 2295, 540, 519, 5070, 16213, 1184, 2005, 1590, 3180, 513, 3337, 1134, 543, 7001, 519, 5386, 3877, 540, 513, 16213, 2943, 581, 15449, 762, 2614, 547, 1450, 9362, 547, 9101, 15152, 519, 8833, 540, 2348, 519, 27724, 4806, 6569, 689, 621, 610, 1247, 621, 568, 4904, 621, 3112, 1835, 18443, 610, 16173, 593, 3294, 563, 22261, 476, 1240, 476, 1001, 280, 1085, 745, 25290, 5070, 568, 513, 2186, 540, 6151, 5070, 585, 16213, 763, 2067, 21958, 5070, 568, 28103, 5523, 18233, 9286, 543, 12015, 543, 519, 16095, 1543, 568, 1447, 982, 476, 271, 1103, 2067, 21247, 5070, 7626, 1813, 547, 29056, 18254, 513, 1804, 2179, 540, 10036, 543, 4401, 616, 6404, 972, 514, 543, 8764, 622, 519, 2627, 540, 519, 21247, 5070, 563, 3682, 12723, 547, 519, 5599, 8257, 540, 554, 776, 3570, 585, 909, 5552, 566, 540, 741, 1239, 543, 25488, 532, 540, 1007, 5599, 2127, 27609, 566, 540, 575, 529, 10471, 585, 2890, 1377, 4058, 476, 273, 20779, 2117, 622, 519, 1858, 540, 3656, 4068, 6549, 5599, 26368, 519, 5070, 1612, 4897, 602, 723, 1958, 549, 3737, 519, 5757, 8513, 2687, 547, 20017, 770, 1537, 4786, 563, 4910, 514, 27433, 5070, 27724, 1899, 5070, 3575, 518, 3684, 21595, 1067, 23217, 7727, 519, 1034, 2347, 543, 8465, 1899, 540, 1164, 3432, 6024, 5070, 3575, 619, 2139, 538, 519, 1158, 2690, 936, 476, 1789, 1296, 5493, 1067, 814, 3710, 1164, 2298, 14463, 5070, 3575, 619, 585, 519, 1336, 787, 2872, 4415, 713, 1995, 2501, 1082, 3681, 563, 306, 663, 1373, 24776, 689, 519, 5757, 737, 11232, 328, 5127, 6124, 1642, 6062, 281, 519, 3084, 3039, 5513, 26915, 814, 10294, 513, 5070, 2173, 1456, 2962, 4371, 676, 519, 1979, 9618, 2229, 538, 519, 1533, 779, 4871, 320, 8664, 538, 632, 4895, 476, 1001, 280, 607, 20704, 543, 513, 14275, 640, 6097, 547, 513, 1867, 538, 519, 554, 4428, 14006, 15242, 538, 606, 476, 8660, 22240, 1931, 519, 5513, 26915, 814, 4371, 602, 519, 6491, 880, 737, 20783, 21445, 2229, 779, 563, 763, 1101, 1900, 538, 5070, 7041, 568, 547, 25666, 519, 30012, 547, 2285, 3601, 7850, 547, 3132, 513, 16213, 1863, 689, 12889, 563, 306, 663, 5599, 1131, 2049, 593, 5111, 476, 20969, 540, 519, 476, 25172, 14143, 4962, 2929, 9748, 540, 1570, 1131, 581, 13939, 543, 9268, 609, 5111, 476, 4391, 2929, 9748, 540, 2344, 762, 14919, 3812, 585, 9042, 936, 513, 476, 1015, 4458, 1974, 563, 9515, 961, 22285, 532, 543, 4295, 5070, 1818, 3684, 642, 339, 554, 9515, 961, 22285, 532, 543, 4295, 5070, 1818, 3684, 642, 339, 476, 3451, 327, 9515, 961, 22285, 532, 543, 4295, 5070, 1818, 3684, 642, 339, 476, 3451, 327, 12354, 476, 4029, 476, 1001, 272, 333, 26138, 26289, 28590, 9917, 961, 22285, 532, 1184, 4367, 513, 1184, 602, 666, 581, 4628, 12747, 7387, 27724, 568, 519, 1034, 6385, 1031, 4480, 585, 9044, 543, 4295, 1818, 849, 1634, 513, 524, 1258, 532, 1184, 713, 563, 22068, 3821, 5070, 4393, 2030, 543, 3937, 6097, 547, 519, 2504, 1184, 519, 3937, 1031, 538, 21958, 5070, 4393, 3622, 3322, 2185, 2101, 2694, 281, 11493, 5070, 1818, 9584, 543, 5070, 11067, 24979, 5241, 568, 5258, 883, 835, 11493, 27724, 543, 1079, 11493, 9044, 902, 563, 3721, 476, 273, 281, 7041, 585, 5070, 16213, 763, 1101, 1900, 538, 1818, 513, 5070, 5641, 539, 1843, 568, 14045, 593, 519, 1843, 2690, 713, 1305, 540, 5528, 1775, 786, 581, 1210, 513, 544, 1872, 607, 1250, 1843, 5629, 596, 723, 4956, 593, 519, 1843, 596, 1616, 547, 1118, 596, 786, 991, 547, 4137, 856, 875, 596, 666, 5641, 1767, 1843, 543, 1869, 581, 2111, 547, 4894, 519, 5070, 9044, 689, 519, 1106, 563, 763, 7192, 338, 476, 23470, 279, 268, 1556, 1606, 281, 2003, 1464, 5070, 1449, 786, 581, 6026, 538, 713, 9074, 1103, 1840, 519, 7192, 338, 476, 18597, 272, 268, 876, 1606, 281, 678, 1342, 1782, 27724, 5070, 543, 7192, 338, 476, 276, 2420, 273, 268, 1724, 1606, 281, 7192, 338, 476, 273, 538, 11854, 322, 11948, 7041, 15155, 1067, 1505, 4255, 616, 851, 540, 519, 2003, 1464, 1449, 543, 3769, 538, 713, 9074, 563, 763, 2447, 2293, 2754, 814, 1044, 5599, 6886, 538, 519, 25878, 8087, 2829, 585, 811, 982, 476, 3583, 1296, 3246, 2565, 7777, 521, 1343, 547, 5561, 538, 5087, 13314, 563, 763, 4806, 568, 1031, 547, 3132, 519, 9044, 13570, 538, 9044, 5070, 300, 13783, 1570, 281, 519, 1570, 602, 568, 14095, 1472, 519, 4806, 838, 4902, 3092, 543, 547, 689, 519, 13570, 763, 25183, 5277, 4496, 4904, 538, 13570, 543, 3029, 519, 16213, 22068, 3821, 5070, 568, 519, 27724, 1570, 6140, 1031, 538, 1336, 1845, 290, 2100, 281, 519, 1283, 3368, 540, 1166, 2532, 27724, 4216, 568, 1634, 607, 11883, 563, 763, 5070, 5599, 2534, 786, 3490, 519, 5106, 693, 522, 8208, 565, 543, 9553, 5070, 632, 653, 677, 15259, 1080, 2059, 519, 1394, 872, 325, 2127, 593, 1312, 7532, 543, 7178, 5032, 540, 519, 1533, 763, 946, 540, 513, 536, 1618, 609, 513, 5070, 6802, 786, 581, 1031, 547, 2445, 543, 3560, 5070, 547, 522, 8208, 565, 2823, 547, 581, 18233, 543, 1500, 2139, 585, 9042, 563, 763, 5070, 1058, 4431, 547, 27724, 3157, 3891, 730, 5070, 799, 3587, 2182, 543, 4224, 3697, 568, 2352, 547, 4894, 689, 519, 16213, 543, 949, 2014, 519, 24931, 4496, 547, 15237, 610, 11523, 19423, 619, 8897, 540, 5070, 7041, 543, 1852, 563, 1607, 17200, 1984, 568, 1031, 585, 11493, 4224, 6070, 538, 11895, 5599, 763, 17200, 1984, 568, 7471, 538, 519, 593, 21935, 2504, 1899, 763, 17200, 1984, 568, 1500, 540, 16243, 5374, 547, 2057, 14809, 7078, 281, 27724, 5070, 7041, 1607, 17200, 1984, 568, 1031, 585, 11493, 27724, 5070, 1310, 519, 5070, 2275, 8463, 1184, 563, 15648, 9736, 476, 1708, 271, 674, 28232, 7557, 10320, 7577, 2353, 2924, 11603 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 723, 547, 711, 4196, 519, 2696, 945, 2813, 803, 286, 543, 547, 13924, 596, 786, 581, 28099, 14855, 3248, 268, 1548, 256, 786, 594, 3442, 547, 798, 538, 1840, 547, 3571, 10971, 267, 4171, 19001, 1058, 519, 1649, 5271, 565, 550, 16589, 16858, 547, 1102, 12787, 803, 609, 2800, 267, 789, 786, 711, 948, 803, 538, 1022, 1259, 543, 9444, 786, 789, 581, 2111, 547, 948, 803, 888, 268, 538, 713, 2013, 267, 594, 786, 1034, 2693, 581, 538, 5470, 912, 268, 25999, 594, 3494, 538, 2696, 4475, 267, 6432, 547, 1250, 5639, 563, 268, 634, 1650, 4422, 281, 22067, 883, 519, 4677, 269, 1261, 1767, 281, 898, 1131, 723, 1044, 1390, 723, 1634, 602, 1250, 1004, 6785, 454, 268, 3245, 799, 1250, 7083, 814, 8483, 1511, 803, 2073, 543, 814, 1500, 803, 851, 540, 519, 1034, 20380, 1004, 2336, 268, 543, 1284, 1705, 711, 13248, 1524, 593, 1010, 1004, 1310, 1010, 2669, 1022, 3984, 689, 13140, 267, 6862, 798, 649, 2479, 6494, 1022, 14747, 1524, 563, 268, 898, 729, 4986, 824, 982, 513, 2582, 3956, 543, 1287, 789, 941, 563, 268, 7937, 267, 519, 22063, 256, 1358, 798, 711, 723, 606, 8665, 267, 855, 789, 14902, 693, 519, 28034, 563, 268, 6496, 4896, 2731, 1589, 827, 875, 1082, 5481, 649, 723, 4503, 1354, 873, 267, 2094, 789, 616, 711, 2111, 547, 3442, 547, 1246, 519, 7083, 888, 268, 1656, 789, 782, 786, 581, 4843, 547, 721, 563, 268, 543, 519, 1129, 585, 741, 4666, 3047, 649, 13236, 1272, 883, 621, 543, 2285, 621, 519, 2666, 10286, 590, 304, 602, 789, 3548, 689, 519, 563, 268, 543, 1284, 1711, 972, 514, 10651, 540, 18812, 341, 1149, 543, 27374, 267, 543, 649, 1118, 20950, 581, 5950, 689, 621, 563, 268, 1924, 602, 789, 1223, 3548, 519, 4829, 540, 519, 3529, 855, 741, 3946, 4769, 1406, 1118, 621, 269, 4024, 789, 711, 19952, 581, 18507, 888, 268, 2353, 17192, 4422, 547, 519, 2290, 945, 2813, 8424, 540, 3388, 689, 1018, 519, 3618, 7472, 267, 540, 741, 1826, 543, 519, 1919, 789, 1810, 1406, 917, 563, 268, 634, 3090, 585, 873, 568, 4158, 3781, 269, 1284, 7485, 856, 998, 621, 519, 1769, 267, 543, 1287, 621, 568, 4158, 267, 543, 789, 2461, 538, 14334, 3248, 268, 543, 519, 3141, 4422, 593, 2394, 606, 3617, 2165, 543, 602, 568, 519, 1931, 602, 568, 519, 631, 26663, 543, 519, 11310, 563, 268, 543, 630, 553, 607, 264, 634, 7599, 269, 649, 723, 1305, 621, 909, 547, 979, 998, 11775, 2394, 621, 568, 1586, 899, 513, 4666, 13869, 7936, 563, 268, 3884, 1406, 4847, 547, 519, 3141, 602, 621, 1131, 1491, 936, 519, 7599, 267, 6862, 1223, 519, 3781, 20546, 519, 1554, 267, 543, 1287, 782, 616, 13735, 593, 1369, 606, 28608, 8608, 563, 268, 589, 16315, 789, 4309, 568, 649, 723, 741, 15556, 593, 519, 6928, 602, 568, 16041, 563, 268, 543, 1284, 4076, 2813, 585, 873, 606, 6697, 540, 621, 267, 799, 789, 666, 946, 547, 11878, 563, 268, 3973, 267, 1403, 1284, 3442, 649, 666, 546, 3497, 873, 267, 972, 786, 581, 1100, 5351, 585, 873, 267, 6862, 786, 789, 581, 10710, 563, 268, 8616, 630, 2421, 264, 11419, 689, 2974, 543, 585, 12257, 585, 513, 1247, 563, 268, 543, 950, 621, 779, 1767, 547, 873, 281, 5901, 707, 4064, 1930, 547, 1018, 779, 538, 4395, 540, 596, 267, 543, 3297, 596, 267, 538, 1931, 602, 23502, 1223, 581, 6035, 547, 707, 15773, 563, 268, 3973, 789, 1810, 1406, 4309, 606, 23318, 540, 519, 6835, 540, 741, 7083, 267, 855, 789, 2490, 2476, 689, 519, 5048, 563, 268, 543, 950, 621, 568, 7150, 547, 873, 892, 8967, 754, 519, 5763, 16589, 814, 3177, 596, 609, 634, 3283, 945, 8969, 2995, 1346, 945, 3494, 281, 9701, 721, 3049, 627, 727, 591, 568, 17237, 267, 1058, 16589, 786, 338, 267, 1261, 1131, 3049, 286, 1703, 568, 1100, 824, 1259, 547, 2995, 952, 596, 616, 538, 5693, 538, 12161, 563, 268, 3973, 789, 3409, 892, 2691, 1281, 713, 3463, 2965, 2049, 538, 519, 2680, 602, 596, 616, 9237, 888, 268, 1358, 798, 711, 7227, 585, 1279, 267, 1175, 513, 2582, 3458, 600, 602, 786, 30908, 873, 2476, 1256, 607, 789, 6370, 1142, 824, 563, 268, 4935, 267, 789, 786, 711, 581, 2111, 547, 1711, 513, 581, 26810, 267, 6862, 666, 581, 2111, 547, 2132, 741, 1609, 919, 741, 1609, 919, 547, 1920, 2818, 563, 268, 634, 25041, 564, 786, 581, 27762, 950, 2073, 3138, 256, 1358, 786, 4473, 689, 741, 30401, 543, 19060, 547, 741, 7083, 563, 268, 1358, 786, 581, 6031, 281, 654, 4141, 547, 721, 256, 5808, 814, 4547, 721, 909, 689, 938, 1793, 3784, 286, 2334, 779, 1018, 519, 5484, 1030, 545, 550, 16589, 1767, 267, 543, 519, 3190, 12310, 9672, 621, 563, 268, 1703, 786, 581, 1152, 835, 3956, 267, 543, 1287, 789, 786, 782, 581, 4547, 1354, 721, 3248, 268, 4475, 267, 713, 1554, 2073, 1100, 9997, 786, 581, 5701, 24407, 569, 610, 538, 1022, 1259, 543, 596, 786, 711, 581, 13752, 4376, 824, 982, 602, 596, 4076, 2944, 563, 268, 519, 11317, 540, 519, 4677, 786, 593, 602, 1554, 581, 4625, 1543, 563, 268, 607, 1134, 607, 741, 24726, 616, 538, 18707, 267, 14084, 593, 4172, 2583, 602, 616, 6659, 563, 268, 786, 581, 2111, 547, 7556, 741, 5613, 543, 789, 786, 581, 2111, 547, 581, 2111, 547, 2972, 8726, 789, 1616, 563, 268, 13458, 589, 2262, 689, 513, 2696, 540, 8585, 1097, 563, 268, 543, 1491, 513, 2736, 2221, 267, 744, 519, 16944, 835, 2336, 268, 9894, 333, 1406, 594, 2995, 596, 267, 522, 519, 1453, 540, 14088, 256, 547, 711, 581, 7674, 519, 1744, 7159, 534, 286, 1411, 1590, 581, 3222, 602, 646, 568, 707, 1034, 1463, 10546, 2676, 268, 543, 602, 596, 1590, 4196, 2725, 901, 568, 519, 1697, 1505, 563, 268, 1656, 15983, 646, 3576, 1082, 17608, 1004, 1369, 596, 269, 1548, 256, 666, 596, 7654, 711, 1174, 888, 268, 901, 6257, 875, 519, 3463, 729, 1500, 547, 596, 563, 268, 1411, 1590, 4283, 538, 621, 2221, 1317, 596, 941, 26617, 563, 268, 715, 3019, 519, 1554, 649, 1305, 519, 13021, 593, 741, 28182, 269, 4256, 3946, 786, 3717, 547, 721, 543, 741, 3952, 786, 581, 513, 7198, 547, 519, 2179, 789, 723, 6913, 563, 268, 543, 1403, 649, 941, 4280, 267, 1284, 786, 6157, 1930, 741, 4064, 269, 1358, 786, 581, 1085, 584, 11538, 1472, 3168, 585, 513, 1259, 547, 1294, 267, 855, 875, 1131, 789, 1413, 888, 268, 543, 1403, 1284, 6999, 267, 1284, 786, 9090, 2981, 873, 538, 741, 1747, 267, 789, 786, 711, 581, 2111, 547, 3136, 543, 9444, 786, 789, 581, 2111, 547, 581, 2111, 547, 2132, 563, 268, 4746, 267, 945, 1197, 649, 2014, 547, 2661, 513, 1279, 942, 267, 1284, 2759, 1864, 1524, 630, 29538, 264, 547, 513, 632, 680, 22789, 1533, 540, 11156, 269, 2052, 789, 711, 1174, 888, 268, 543, 649, 10093, 1406, 6026, 1864, 6965, 543, 621, 568, 711, 5078, 585, 1864, 269, 898, 779, 1152, 513, 12576, 267, 543, 606, 9296, 6088, 20845, 2676, 268, 898, 568, 5156, 602, 621, 1223, 24633, 2576, 945, 814, 1272, 602, 630, 7474, 264, 519, 1913, 1223, 581, 9863, 3020, 585, 1346, 945, 616, 711, 21071, 563, 268, 2052, 789, 8275, 519, 1249, 602, 1284, 723, 1500, 12418, 585, 873, 267, 1759, 593, 519, 960, 540, 3776, 3946, 799, 568, 1946, 789, 666, 581, 741, 1378, 18544, 888, 268, 543, 1284, 4076, 7142, 873, 547, 873, 267, 799, 1797, 602, 789, 616, 930, 547, 11878, 593, 267, 1247, 930, 540, 873, 616, 13881, 563, 268, 543, 972, 616, 5383, 543, 16098, 282, 4465, 1406, 789, 581, 9684, 995, 888, 268, 543, 789, 4076, 26902, 5792, 10971, 538, 1840, 547, 16589, 538, 1931, 547, 581, 19443, 563, 268, 630, 3719, 264, 519, 630, 4037, 264, 786, 711, 581, 2111, 547, 5351, 873, 267, 543, 789, 786, 581, 513, 3984, 945, 568, 4547, 909, 538, 4395, 540, 519, 3984, 563, 268, 1924, 798, 711, 1577, 741, 4633, 8886, 622, 596, 269, 1284, 15983, 917, 519, 1919, 789, 798, 3297, 6806, 9885, 543, 849, 1018, 789, 798, 15597, 563, 268, 1684, 596, 711, 5431, 602, 2696, 814, 2813, 1864, 689, 513, 6263, 6079, 286, 3973, 2073, 19315, 256, 972, 568, 513, 1930, 16311, 656, 563, 268, 1656, 646, 14405, 856, 513, 16726, 547, 2974, 543, 19380, 8289, 540, 519, 1360, 3364, 646, 2813, 269, 1261, 12134, 281, 5808, 786, 3142, 1272, 547, 7633, 2899, 789, 2461, 538, 9178, 888, 268, 28423, 892, 3891, 3580, 2285, 873, 1272, 269, 1261, 568, 519, 835, 945, 2813, 873, 7620, 543, 1261, 568, 519, 17082, 540, 519, 2898, 5137, 454, 268, 634, 2290, 5808, 2813, 585, 596, 519, 18723, 630, 1729, 5337, 924, 264, 689, 519, 3529, 540, 3039, 547, 948, 596, 666, 5337, 924, 630, 13933, 1916, 268, 27355, 1406, 1261, 5808, 1500, 519, 30723, 543, 519, 3618, 538, 513, 2990, 547, 1118, 513, 2147, 7122, 607, 873, 286, 14717, 320, 256, 543, 1261, 568, 519, 17082, 630, 1993, 782, 264, 634, 5700, 518, 563, 268, 634, 7083, 779, 1463, 633, 267, 950, 1261, 568, 4058, 1945, 267, 568, 547, 2995, 621, 892, 6826, 607, 602, 621, 786, 581, 563, 268, 4935, 782, 18710, 547, 4906, 267, 1733, 846, 1688, 12081, 338, 519, 8003, 540, 3388, 543, 547, 13924, 596, 3580, 581, 8120, 0, 30108, 538, 932, 1618, 281, 6004, 589, 269, 16962, 27775, 2105, 13405, 4804, 454, 17413, 476, 1015, 7913, 16370, 568, 5227, 454, 6701, 596, 5461, 538, 2324, 538, 5026, 286, 4915, 286, 2575, 286, 6683, 286, 1876, 286, 2069, 286, 3143, 2339, 707, 4876, 13374, 596, 616, 2469, 547, 723, 547, 4194, 2042, 1210, 5904, 267, 543, 602, 781, 1018, 713, 1576, 568, 782, 827, 910, 3384, 1983, 538, 1210, 3059, 3457, 547, 4194, 1483, 1158, 2042, 269, 901, 1641, 3884, 1405, 1175, 585, 575, 2465, 802, 945, 1616, 547, 1694, 538, 4395, 540, 513, 2780, 782, 1554, 910, 952, 596, 1616, 547, 581, 2111, 547, 960, 609, 1866, 543, 948, 1004, 676, 1210, 2780, 2029, 713, 1576, 568, 585, 596, 2336, 2467, 616, 1614, 1292, 2127, 4988, 912, 6440, 3059, 1344, 630, 2224, 540, 2645, 971, 607, 12240, 547, 4383, 1344, 994, 6440, 5752, 543, 2780, 2257, 630, 24483, 875, 3059, 3457, 960, 543, 875, 547, 1852, 873, 994, 6440, 3059, 2923, 630, 322, 11661, 513, 3896, 1519, 930, 3312, 1543, 994, 25413, 2264, 3763, 518, 267, 18753, 5071, 518, 267, 6176, 5303, 6435, 9188, 330, 270, 28874, 3353, 6509, 267, 6176, 5303, 15440, 267, 14502, 27752, 267, 7010, 8556, 15249, 267, 6176, 5303, 11629, 267, 10794, 3763, 518, 267, 14871, 15232, 5071, 518, 267, 4530, 8890, 560, 267, 8416, 8556, 15249, 267, 8232, 8890, 560, 267, 6755, 564, 1674, 570, 6856, 267, 8232, 13693, 656, 267, 2480, 5300, 9457 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4288, 630, 1220, 277, 264, 19430, 606, 7525, 3210, 689, 1325, 3563, 17755, 337, 987, 630, 1220, 278, 1070, 3589, 2406, 13886, 634, 29861, 9469, 5548, 4288, 269, 634, 1279, 8573, 7342, 4737, 936, 519, 3450, 540, 16817, 1143, 538, 1977, 3506, 568, 5693, 6045, 689, 1312, 2798, 540, 2070, 676, 7812, 22337, 323, 538, 11289, 2696, 585, 12472, 630, 1220, 279, 1040, 32515, 595, 1195, 928, 779, 6587, 2070, 568, 9788, 856, 538, 1010, 476, 1001, 276, 1433, 18321, 12411, 639, 5517, 269, 1656, 972, 616, 1082, 811, 269, 11977, 674, 525, 518, 568, 22035, 1639, 676, 968, 1492, 6727, 4473, 540, 26723, 550, 520, 1190, 796, 10964, 3971, 607, 519, 632, 6551, 826, 584, 2990, 540, 519, 5100, 1305, 2560, 19473, 626, 669, 545, 568, 1631, 267, 856, 540, 519, 4544, 607, 621, 941, 267, 519, 8631, 540, 1655, 8688, 619, 267, 28910, 23596, 906, 267, 543, 28180, 2542, 2516, 3034, 2005, 568, 3020, 602, 16496, 8226, 2306, 621, 2352, 547, 1224, 827, 267, 610, 1256, 547, 1174, 267, 2093, 602, 798, 711, 3514, 883, 835, 779, 4540, 2790, 25190, 517, 32440, 269, 589, 1268, 779, 4295, 4978, 267, 741, 3964, 2070, 540, 519, 1158, 543, 519, 3119, 1489, 540, 741, 2123, 3961, 267, 1590, 581, 29846, 1996, 1169, 4161, 269, 1924, 621, 3217, 513, 22992, 1930, 2247, 547, 2039, 2066, 971, 513, 3376, 8552, 540, 12496, 540, 519, 835, 1158, 602, 649, 782, 2671, 269, 769, 2490, 267, 538, 519, 2085, 540, 519, 4950, 621, 568, 1100, 3476, 6190, 547, 12404, 14882, 3297, 2901, 771, 15574, 630, 23437, 9200, 2299, 5497, 547, 3765, 548, 611, 264, 610, 25749, 630, 6518, 1223, 581, 22992, 19451, 1916, 7343, 569, 519, 16390, 540, 20603, 547, 5637, 4982, 958, 454, 763, 2916, 540, 8994, 27421, 6383, 676, 519, 13137, 2203, 1223, 581, 7006, 8215, 811, 11593, 952, 519, 856, 4944, 7505, 15156, 540, 4655, 1223, 581, 7479, 12184, 547, 6432, 547, 18164, 1004, 593, 1312, 5011, 267, 543, 1118, 741, 6114, 10257, 269, 1280, 1383, 267, 621, 1223, 581, 11130, 602, 29861, 9469, 685, 1193, 1211, 959, 4770, 540, 782, 3909, 3661, 814, 9141, 606, 13778, 1377, 540, 6547, 267, 1312, 689, 519, 7787, 9718, 619, 540, 13416, 5132, 338, 267, 543, 689, 519, 856, 571, 3022, 2818, 540, 519, 811, 15672, 2516, 945, 616, 519, 3119, 9072, 540, 1010, 6285, 269, 17957, 267, 519, 4550, 10784, 21526, 9186, 540, 4909, 626, 2516, 4667, 547, 723, 10480, 2047, 883, 1447, 982, 10257, 2442, 4187, 5322, 1996, 8810, 1857, 1072, 3800, 971, 607, 12674, 543, 14806, 9179, 269, 5637, 5011, 1223, 4324, 676, 9878, 811, 3007, 547, 11184, 8834, 2405, 1177, 541, 779, 9963, 602, 968, 1492, 8515, 540, 519, 24235, 602, 513, 8367, 568, 3020, 814, 1100, 12946, 593, 2436, 621, 568, 3020, 610, 7301, 269, 634, 2956, 540, 519, 4222, 540, 938, 24235, 568, 1152, 547, 1683, 513, 8167, 2299, 2178, 24539, 547, 1265, 856, 952, 519, 8367, 786, 1796, 909, 547, 2565, 6268, 3034, 26807, 569, 267, 972, 616, 3344, 540, 3909, 3661, 19017, 936, 5553, 799, 991, 547, 581, 929, 25293, 1055, 267, 855, 1004, 616, 2907, 3257, 602, 1765, 11034, 532, 609, 2441, 5128, 538, 1010, 2591, 547, 13243, 11454, 8128, 267, 711, 547, 2446, 9410, 13162, 779, 1686, 19145, 6285, 593, 13313, 538, 519, 4936, 7826, 5939, 540, 1010, 942, 269, 634, 4434, 540, 13400, 14172, 936, 519, 2063, 476, 1220, 1296, 568, 11173, 519, 1184, 267, 4352, 621, 568, 811, 7298, 538, 12621, 540, 18381, 982, 1851, 1034, 7249, 2958, 725, 269, 2552, 337, 926, 3772, 267, 972, 616, 3344, 540, 4207, 3621, 2528, 602, 4628, 17330, 9880, 267, 2523, 519, 5821, 547, 4001, 1053, 1022, 540, 519, 2596, 6138, 540, 1702, 602, 1223, 2149, 873, 689, 17259, 547, 7301, 8753, 269, 1280, 1383, 267, 519, 7839, 19473, 626, 25195, 602, 4168, 5132, 568, 19450, 4422, 1394, 547, 606, 31602, 4661, 10169, 2059, 519, 1739, 3515, 281, 2067, 2257, 666, 1265, 1100, 7787, 2963, 585, 519, 7872, 540, 1272, 1310, 2669, 282, 10271, 3494, 538, 519, 24446, 540, 519, 4666, 543, 538, 1082, 824, 16750, 28986, 282, 4061, 267, 4168, 3661, 568, 19450, 563, 2005, 568, 3020, 602, 972, 568, 1100, 3621, 2963, 585, 1272, 1310, 2669, 267, 543, 849, 602, 519, 15151, 2192, 16479, 3661, 538, 16750, 2621, 568, 7839, 1851, 10271, 267, 855, 1346, 22402, 3112, 1291, 547, 513, 2489, 3932, 602, 4168, 5132, 568, 20244, 19450, 269, 8567, 849, 2882, 1082, 824, 7357, 7787, 4978, 602, 2087, 519, 1158, 649, 2661, 538, 267, 971, 607, 8296, 585, 1866, 267, 799, 568, 519, 8978, 4493, 540, 10120, 10506, 267, 24431, 18561, 9086, 267, 543, 1082, 4207, 16712, 14540, 899, 519, 4414, 9061, 543, 853, 3627, 2549, 12712, 766, 269, 1879, 1004, 689, 6587, 10080, 3858, 593, 875, 547, 1865, 741, 3604, 609, 16614, 3007, 547, 519, 3652, 540, 23221, 267, 519, 7301, 2489, 31907, 602, 3049, 519, 4655, 666, 581, 771, 28534, 563, 28403, 1047, 519, 18467, 538, 6904, 3962, 20126, 543, 2052, 28389, 519, 4033, 454, 3080, 540, 519, 1034, 15197, 3744, 540, 782, 942, 267, 15751, 18160, 267, 1185, 1100, 2123, 3909, 3661, 1765, 520, 2547, 267, 607, 606, 2937, 28559, 646, 1185, 513, 2312, 9787, 540, 1946, 2257, 543, 5132, 991, 1142, 824, 269, 3571, 1034, 4583, 10839, 593, 519, 1641, 568, 1655, 6956, 538, 922, 2407, 2796, 912, 16631, 666, 1152, 581, 2813, 676, 1346, 945, 616, 8499, 28093, 4240, 609, 519, 8321, 566, 4724, 5168, 543, 1620, 269, 901, 2707, 540, 4743, 267, 2705, 267, 20950, 689, 519, 12106, 540, 4984, 269, 1677, 713, 972, 849, 12851, 519, 5132, 538, 519, 7872, 602, 519, 6042, 4570, 585, 519, 1158, 540, 6228, 616, 7787, 267, 602, 568, 267, 2649, 1043, 547, 2601, 269, 594, 3112, 32230, 540, 513, 9758, 10196, 1510, 602, 7096, 5132, 269, 634, 3510, 949, 581, 6829, 676, 606, 3239, 281, 2257, 1510, 4984, 568, 561, 877, 267, 4984, 1510, 2257, 568, 9420, 563, 305, 1049, 1235, 991, 5132, 538, 2601, 267, 855, 519, 3978, 21705, 849, 991, 2601, 547, 1118, 2631, 540, 741, 1378, 2757, 5931, 543, 31710, 269, 898, 568, 7357, 2009, 547, 1174, 519, 1650, 540, 14088, 543, 18832, 538, 519, 12567, 540, 3798, 523, 538, 2474, 540, 519, 4720, 540, 519, 1480, 2634, 267, 585, 1383, 267, 1510, 7947, 532, 922, 3504, 7664, 540, 1480, 2470, 607, 25340, 3020, 269, 6270, 606, 4244, 7778, 10503, 938, 27811, 5837, 7526, 607, 2067, 267, 2864, 982, 513, 27290, 5837, 17528, 267, 3091, 606, 9101, 689, 5553, 540, 16203, 543, 16236, 13684, 676, 519, 3909, 2856, 540, 3312, 5609, 269, 634, 3909, 5048, 1281, 711, 723, 547, 581, 10032, 267, 4352, 950, 1224, 21603, 569, 621, 568, 1360, 4749, 31495, 2181, 1540, 269, 5015, 267, 538, 4789, 267, 930, 540, 519, 1034, 1271, 3909, 2093, 593, 1514, 7862, 267, 24756, 267, 2146, 1416, 267, 543, 519, 2126, 540, 20737, 941, 27314, 569, 9097, 585, 741, 942, 267, 543, 16712, 8128, 723, 1044, 20414, 909, 2479, 2094, 563, 763, 1279, 556, 1173, 340, 731, 2962, 676, 519, 13524, 10601, 5939, 1996, 519, 3069, 540, 4720, 543, 782, 922, 6286, 568, 4330, 676, 6307, 11068, 326, 2917, 607, 513, 454, 321, 27741, 28365, 32623, 1674, 2560, 519, 5939, 25356, 267, 25302, 267, 543, 15739, 323, 1243, 3294, 538, 1931, 547, 8396, 513, 3833, 16494, 8594, 269, 4107, 10271, 2221, 11593, 3398, 602, 519, 3618, 1281, 711, 723, 547, 581, 538, 519, 8998, 540, 519, 7122, 267, 543, 602, 2696, 267, 952, 646, 1223, 1711, 1272, 693, 782, 267, 1223, 798, 621, 1175, 607, 1134, 998, 4720, 607, 676, 8216, 535, 9332, 563, 3719, 267, 1036, 21884, 2406, 267, 602, 1281, 711, 1611, 519, 1439, 540, 519, 2112, 269, 16241, 21847, 1631, 3077, 267, 609, 3160, 7542, 6290, 267, 519, 1007, 2152, 3768, 516, 3139, 540, 676, 938, 11937, 267, 538, 519, 4610, 540, 11976, 267, 7803, 5539, 267, 1318, 9405, 6214, 267, 543, 10349, 14920, 269, 1284, 991, 547, 1174, 811, 827, 875, 547, 1219, 2224, 971, 1459, 543, 2104, 13882, 609, 1620, 543, 8296, 267, 4358, 609, 13373, 5109, 519, 14165, 540, 2112, 563, 3080, 540, 519, 3844, 2042, 540, 3450, 267, 538, 1312, 2257, 543, 4984, 267, 568, 7713, 1007, 1702, 538, 4207, 2474, 269, 9147, 18408, 1869, 9833, 607, 4570, 538, 782, 2053, 543, 4025, 3112, 581, 5293, 1524, 689, 835, 5108, 547, 519, 1985, 538, 741, 3312, 1106, 267, 607, 952, 1480, 7239, 5030, 538, 513, 2686, 12511, 269, 10787, 689, 621, 269, 2353, 3029, 540, 1702, 723, 547, 581, 6829, 538, 2474, 540, 15520, 3989, 23199, 543, 3631, 602, 3717, 547, 741, 1459, 9458, 267, 607, 14648, 998, 2123, 1995, 269, 27639, 4268, 865, 4922, 602, 2592, 19775, 538, 835, 2486, 3533, 2887, 6366, 538, 513, 1114, 835, 563, 2467, 568, 513, 3395, 1297, 540, 9758, 3744, 609, 30664, 764, 762, 20340, 8348, 547, 3895, 513, 811, 3540, 2213, 6643, 269, 1280, 1383, 267, 3056, 1591, 29489, 26366, 996, 16019, 13187, 7479, 553, 1947, 602, 2257, 3112, 3651, 2495, 610, 3483, 267, 855, 602, 3085, 1406, 1611, 519, 1158, 568, 27507, 540, 873, 269, 968, 12148, 1702, 2501, 1152, 689, 513, 4999, 540, 5132, 543, 2601, 1848, 769, 2490, 267, 7811, 21997, 11184, 3627, 2717, 6362, 1817, 928, 5206, 912, 2171, 991, 1312, 2257, 543, 4984, 267, 543, 2560, 789, 723, 1082, 1271, 1919, 547, 2161, 547, 1142, 824, 2560, 594, 6557, 9141, 676, 519, 991, 547, 1491, 1312, 2257, 543, 4984, 12517, 267, 543, 993, 2386, 602, 789, 616, 2828, 267, 711, 535, 3996, 267, 538, 519, 1455, 1391, 585, 1702, 2560, 1496, 2005, 568, 711, 3020, 602, 316, 3909, 3661, 568, 856, 7116, 539, 267, 610, 1524, 2431, 7543, 538, 513, 3621, 2085, 2560, 952, 1004, 2560, 6785, 513, 3787, 811, 827, 2257, 982, 1082, 540, 873, 2965, 798, 267, 789, 8910, 1265, 621, 4443, 547, 2671, 1250, 2070, 2560, 2257, 543, 5132, 616, 7214, 30980, 896, 519, 2960, 269, 5637, 3490, 8753, 593, 606, 16799, 540, 7664, 543, 1995, 282, 1312, 616, 2141, 1930, 547, 14842, 267, 1312, 3801, 547, 1174, 563, 13010, 267, 14731, 19811, 267, 6205, 540, 519, 5274, 32081, 1788, 267, 11329, 856, 602, 968, 14396, 568, 519, 1152, 1259, 547, 2626, 2055, 827, 519, 1570, 7122, 267, 855, 568, 1379, 1652, 547, 2626, 2055, 827, 2495, 269, 1284, 991, 1312, 267, 547, 1174, 1312, 519, 2938, 543, 519, 31305, 1848, 1306, 15887, 6798, 13744, 25070, 590, 2931, 2322, 621, 267, 968, 16631, 3217, 1919, 6306, 547, 1294, 875, 789, 960, 282, 4984, 12662, 1919, 1927, 547, 1294, 1018, 789, 1611, 1848, 769, 11744, 519, 16799, 1063, 4351, 15817, 543, 1875, 12690, 5542, 267, 602, 568, 267, 1063, 4960, 543, 1876, 267, 12105, 3069, 568, 267, 538, 14880, 3212, 659, 665, 651, 779, 22192, 8360, 267, 968, 1492, 1108, 779, 3659, 538, 24320, 1047, 3034, 29012, 267, 3909, 3450, 666, 3565, 547, 938, 3838, 1702, 950, 922, 4030, 616, 20240, 676, 2601, 269, 1280, 1383, 267, 19807, 540, 2250, 4636, 338, 666, 1291, 547, 519, 22196, 540, 13253, 267, 543, 5555, 547, 9316, 267, 607, 9672, 19654, 676, 3014, 3069, 543, 1514, 6530, 269, 5808, 666, 7340, 519, 11121, 7067, 267, 14064, 1881, 12946, 540, 519, 812, 945, 4503, 1010, 7385, 538, 519, 4323, 593, 1079, 9923, 13196, 538, 2441, 577, 3420, 267, 7555, 538, 5480, 543, 5356, 19807, 547, 519, 22681, 888, 14582, 773, 1324, 1004, 723, 3622, 1044, 3500, 547, 29311, 519, 6286, 540, 16817, 1014, 7350, 585, 741, 23381, 269, 898, 568, 711, 602, 9097, 5368, 614, 13133, 725, 540, 2025, 10054, 616, 7543, 1369, 513, 15061, 3909, 13539, 282, 1396, 17790, 15024, 543, 22158, 723, 1500, 27789, 2242, 936, 519, 2063, 1906, 1296, 267, 585, 1585, 4128, 267, 711, 782, 17033, 3909, 269, 634, 1292, 8373, 568, 602, 1034, 21071, 798, 711, 917, 2614, 827, 16817, 1014, 7350, 547, 581, 2111, 547, 1294, 922, 6286, 585, 741, 5132, 269, 22353, 267, 1082, 4043, 547, 4250, 621, 607, 513, 15180, 7778, 585, 519, 9814, 540, 1272, 269, 1306, 11068, 326, 2917, 12662, 621, 281, 968, 10144, 779, 7411, 827, 7487, 2933, 607, 2818, 540, 519, 835, 5137, 814, 2097, 689, 513, 19020, 267, 7522, 267, 3810, 7493, 10206, 540, 1018, 519, 824, 2818, 941, 899, 3034, 4002, 519, 14669, 267, 952, 519, 1079, 5380, 666, 581, 2938, 607, 4891, 547, 581 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 649, 1020, 2463, 543, 25621, 585, 519, 6043, 543, 8990, 2838, 547, 8853, 5103, 14488, 780, 11101, 267, 18167, 883, 891, 1483, 3734, 8941, 21040, 938, 20030, 3564, 11475, 543, 2489, 3074, 269, 7665, 710, 15173, 3751, 8725, 781, 834, 763, 19716, 2782, 1874, 2437, 4352, 11786, 1851, 930, 4457, 11082, 1813, 547, 3140, 6111, 4145, 267, 3788, 9565, 1317, 621, 9397, 1524, 7496, 1063, 8109, 543, 5375, 10600, 269, 4173, 1433, 20502, 875, 3332, 666, 4161, 10054, 543, 28596, 15826, 5717, 827, 2528, 543, 3961, 780, 15563, 267, 4974, 29946, 2488, 3631, 540, 16177, 543, 1582, 22523, 269, 645, 747, 3687, 327, 715, 7666, 344, 523, 781, 834, 17556, 2718, 17700, 781, 20550, 1676, 257, 6257, 3395, 909, 19176, 1977, 9624, 519, 20457, 540, 12309, 1016, 7875, 807, 269, 2701, 12066, 956, 609, 4606, 540, 12761, 543, 1279, 532, 267, 5555, 4466, 24176, 538, 1426, 543, 3332, 910, 3584, 1082, 10708, 666, 9305, 547, 7488, 540, 2686, 4282, 780, 6962, 1384, 18698, 7489, 1977, 29946, 3091, 16854, 3255, 585, 2208, 543, 6602, 269, 5664, 1153, 1053, 1796, 547, 4324, 7494, 689, 6313, 891, 5931, 2094, 789, 6536, 1930, 16490, 1145, 267, 3444, 14426, 2792, 1983, 267, 543, 2565, 3206, 5759, 269, 1924, 10544, 835, 2221, 267, 7017, 883, 513, 6899, 5544, 267, 543, 7832, 593, 606, 20605, 5339, 7045, 4904, 609, 6667, 267, 10100, 267, 543, 4126, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 10472, 729, 1500, 676, 1250, 22419, 262, 27545, 1362, 538, 476, 1001, 275, 563, 8702, 256, 3371, 616, 519, 17241, 17796, 596, 782, 4857, 538, 1362, 1282, 11354, 476, 1001, 275, 269, 25103, 1522, 2736, 1862, 604, 865, 5225, 6494, 803, 513, 4063, 630, 321, 1601, 718, 518, 329, 693, 4413, 14873, 12297, 1196, 340, 264, 543, 594, 3513, 4368, 873, 610, 4894, 873, 269, 1403, 596, 723, 10372, 2663, 593, 267, 1577, 803, 917, 543, 594, 3513, 1039, 873, 563, 7069, 3122, 625, 16631, 11470, 543, 26135, 312, 288, 1656, 18753, 26358, 310, 525, 3179, 543, 8466, 11470, 15239, 12279, 267, 13648, 9248, 267, 543, 4437, 13132, 454, 22146, 267, 6184, 2869, 1049, 267, 543, 22918, 548, 3367, 338, 295, 528, 2928, 305, 558, 766, 543, 19529, 22175, 11372, 12734, 543, 4139, 3367, 338, 16032, 8688, 619, 454, 7069, 3122, 625, 20670, 3883, 17352, 281, 18421, 25491, 267, 12246, 335, 1619, 267, 1299, 28202, 14525, 281, 1879, 594, 3576, 513, 1362, 538, 15832, 5708, 2063, 1032, 594, 1031, 21434, 8648, 547, 1265, 8039, 540, 2835, 593, 938, 2542, 1592, 855, 594, 2760, 6170, 513, 2603, 540, 942, 19855, 519, 3135, 269, 594, 729, 3833, 9599, 547, 3605, 602, 789, 723, 606, 3003, 5816, 6131, 547, 13655, 267, 24457, 9089, 267, 543, 26497, 619, 269, 21434, 2053, 1281, 2731, 9735, 267, 1134, 2854, 267, 13801, 8039, 269, 1358, 849, 798, 1360, 1775, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 2026, 1014, 1977, 6490, 7546, 338, 257, 607, 851, 540, 834, 10292, 24209, 1299, 27483, 302, 10292, 24209, 1315, 8836, 1299, 13636, 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 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 290, 269, 8081, 11094, 27557, 692, 14106, 1746, 3084, 11614, 7028, 5571, 5726, 7341, 14102, 13148, 676, 3593, 12375, 269, 16952, 2081, 547, 3565, 1331, 11449, 5993, 10596, 267, 1810, 908, 547, 18758, 3906, 6131, 547, 8497, 6288, 4133, 267, 24749, 942, 543, 1983, 267, 543, 14957, 585, 4797, 5092, 538, 6870, 2127, 693, 5313, 543, 1533, 2157, 780, 6962, 1384, 32382, 3084, 6288, 30063, 1949, 3340, 9639, 267, 22509, 697, 267, 543, 13916, 269, 1635, 6236, 2188, 899, 12557, 267, 10333, 267, 543, 6578, 267, 17053, 8436, 666, 2308, 2500, 2994, 585, 17516, 524, 913, 1540, 22581, 269, 5047, 267, 3743, 2853, 2327, 9434, 18399, 540, 10475, 2067, 2200, 585, 5481, 547, 2097, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2252, 596, 4076, 2760, 1044, 547, 513, 2817, 5244, 1354, 267, 4058, 707, 1101, 7552, 666, 581, 25254, 2336, 9199, 767, 532, 547, 2817, 20088, 3884, 1406, 1945, 602, 1250, 9393, 610, 594, 1705, 3395, 909, 543, 649, 4769, 1406, 1376, 19482, 1299, 22742, 2394, 938, 3735, 476, 736, 338, 269, 4595, 938, 1101, 7552, 547, 513, 2817, 5244, 267, 938, 2648, 585, 2470, 814, 1152, 6738, 543, 621, 1500, 721, 8275, 602, 621, 779, 2760, 1932, 3735, 547, 1376, 11981, 519, 1390, 13964, 563, 1103, 513, 5698, 609, 1505, 543, 519, 17823, 1399, 9539, 710, 20088, 11036, 267, 594, 4076, 17031, 909, 476, 1428, 19444, 4388, 602, 666, 948, 596, 1376, 4058, 707, 1101, 7552, 547, 513, 2817, 5244, 2336, 5278, 540, 519, 6402, 1031, 538, 713, 5816, 949, 581, 24988, 6402, 269, 2311, 1100, 3063, 1942, 547, 596, 267, 594, 7118, 513, 1507, 10243, 950, 596, 1433, 998, 891, 6402, 585, 799, 594, 993, 1360, 9684, 995, 2336, 272, 269, 7994, 513, 5244, 19171, 1677, 2659, 5851, 454, 5522, 8911, 513, 7552, 547, 513, 2817, 5244, 585, 519, 1101, 942, 666, 1745, 11566, 267, 2523, 952, 596, 10093, 1406, 6170, 513, 2898, 2603, 540, 942, 13964, 269, 12020, 513, 7552, 856, 540, 1533, 666, 1039, 3063, 2566, 2094, 596, 786, 991, 547, 2015, 1166, 662, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 13233, 5244, 1763, 969, 725, 257, 607, 851, 540, 834, 307, 30728, 1315, 20088, 1299, 8805, 3033, 338, 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 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1034, 16018, 538, 519, 10034, 1222, 607, 513, 2898, 269, 634, 10457, 602, 10443, 585, 5646, 322, 650, 528, 267, 855, 4769, 1405, 1205, 883, 14643, 941, 24898, 4498, 1633, 267, 14639, 4149, 10235, 5696, 24480, 267, 24839, 5696, 592, 582, 974, 267, 543, 6742, 515, 700, 788, 710, 563, 763, 9241, 11221, 25650, 729, 7318, 950, 2101, 3109, 719, 630, 8619, 4310, 676, 513, 16171, 4764, 7088, 799, 729, 851, 540, 519, 7216, 15604, 476, 1220, 277, 3345, 1977, 23566, 13216, 264, 4299, 519, 4884, 689, 5412, 476, 272, 1700, 273, 267, 476, 1220, 277, 267, 799, 2451, 12303, 519, 3003, 4884, 1510, 5201, 269, 10830, 10294, 513, 1533, 540, 6595, 267, 799, 16768, 585, 1896, 2395, 563, 1103, 519, 476, 1001, 271, 9550, 8230, 10830, 729, 17204, 3280, 569, 267, 9991, 547, 3791, 1747, 269, 634, 9550, 729, 4465, 676, 14639, 6261, 4954, 853, 269, 24839, 945, 2968, 519, 10034, 1222, 781, 1007, 25650, 267, 2705, 2506, 1962, 684, 17037, 7957, 10696, 2034, 268, 2897, 11134, 31240, 9627, 667, 3821, 790, 630, 14862, 277, 2506, 1962, 684, 16018, 585, 667, 3821, 790, 3379, 547, 476, 6434, 280, 2506, 1962, 684, 16018, 585, 853, 269, 24839, 264, 901, 729, 7059, 856, 676, 11566, 1489, 585, 853, 269, 24839, 538, 519, 1964, 540, 519, 10034, 1222, 267, 2705, 267, 865, 538, 519, 1439, 853, 269, 24839, 4465, 1688, 1176, 563, 10387, 1962, 684, 568, 851, 540, 519, 21146, 8664, 540, 3794, 1263, 14019, 6261, 637, 22574, 7304, 639, 8688, 585, 1312, 5313, 543, 21621, 12836, 269, 27603, 713, 10160, 568, 513, 27565, 1193, 517, 724, 1245, 538, 1312, 6608, 269, 901, 568, 4358, 547, 1689, 267, 2705, 267, 607, 519, 20271, 2510, 2744, 1489, 538, 519, 1858, 269, 12658, 518, 958, 267, 519, 14964, 729, 27565, 585, 1082, 5756, 2394, 476, 1220, 277, 950, 621, 729, 7522, 569, 3144, 676, 20271, 894, 11134, 24839, 19748, 773, 5060, 269, 19748, 773, 5060, 781, 1489, 814, 7930, 2799, 267, 543, 538, 476, 1001, 272, 646, 4465, 556, 3887, 3005, 676, 936, 476, 1015, 267, 1822, 16018, 563, 3682, 9109, 1017, 569, 267, 2705, 267, 621, 814, 7283, 27565, 269, 769, 519, 476, 1001, 272, 21621, 9550, 267, 519, 14964, 18423, 27565, 630, 531, 18464, 676, 513, 7522, 14345, 264, 5103, 519, 16468, 540, 2442, 27565, 1651, 3518, 550, 14639, 16205, 700, 531, 27475, 267, 543, 5103, 519, 1249, 602, 519, 8644, 5644, 4503, 5176, 8938, 16295, 2066, 14411, 563, 763, 1292, 4155, 538, 2506, 1962, 684, 568, 3502, 516, 5937, 877, 9335, 630, 15575, 344, 10003, 476, 274, 1040, 901, 11112, 8265, 12599, 7532, 1700, 8054, 2066, 2506, 1962, 684, 267, 16046, 922, 29117, 338, 1927, 269, 2311, 922, 7262, 1439, 621, 13462, 547, 10011, 528, 9335, 538, 30240, 21651, 267, 1247, 922, 9456, 1439, 12599, 547, 519, 7404, 8498, 540, 16629, 1088, 2006, 267, 4092, 476, 1321, 5998, 547, 519, 7532, 269, 1306, 2506, 1962, 684, 9428, 267, 519, 8265, 814, 4810, 1713, 20316, 269, 3487, 540, 713, 568, 24395, 730, 676, 519, 1249, 602, 267, 609, 519, 9868, 540, 513, 476, 272, 5998, 3296, 538, 7262, 2506, 1962, 684, 799, 814, 513, 8998, 7432, 26738, 267, 519, 8265, 568, 1869, 513, 6671, 1079, 26738, 8265, 269, 634, 29109, 814, 6594, 519, 7872, 540, 11097, 2287, 519, 3003, 12701, 540, 519, 8265, 547, 1079, 28961, 538, 1142, 4287, 609, 513, 8998, 7432, 26738, 267, 2705, 519, 1942, 540, 713, 568, 2938, 607, 10238, 1438, 267, 865, 3079, 267, 519, 29109, 814, 5059, 593, 3785, 547, 1118, 6808, 2095, 811, 3608, 269, 901, 3769, 519, 18175, 15665, 540, 28963, 267, 1519, 519, 10380, 540, 1007, 2451, 2389, 1248, 6786, 693, 1079, 28963, 630, 1260, 921, 1540, 538, 476, 1001, 272, 264, 543, 519, 10682, 540, 1776, 10167, 609, 513, 5180, 12671, 630, 1260, 921, 1540, 538, 476, 1001, 273, 1916, 10387, 1962, 684, 568, 4092, 476, 279, 5998, 5045, 540, 23681, 476, 275, 1704, 267, 513, 2101, 1863, 3118, 602, 6402, 31747, 543, 27292, 267, 543, 799, 568, 851, 540, 519, 3690, 4211, 534, 3385, 23681, 3060, 269, 5565, 608, 1080, 734, 258, 6434, 543, 1948, 8064, 1765, 25075, 728, 1569, 547, 2506, 1962, 684, 269, 853, 8566, 340, 8759, 2541, 10003, 6402, 1401, 527, 1948, 6434, 609, 3502, 516, 5937, 877, 9335, 267, 1247, 7799, 690, 525, 10003, 1281, 519, 1482, 585, 1401, 527, 1948, 8064, 269, 853, 8566, 340, 8759, 2541, 10003, 543, 1401, 527, 1948, 6434, 568, 519, 1668, 1512, 540, 519, 1079, 267, 1317, 621, 568, 3648, 6251, 547, 31747, 269, 2506, 1962, 684, 781, 4028, 2208, 538, 2487, 1296, 607, 1134, 607, 606, 2799, 7678, 540, 862, 5024, 547, 31747, 585, 960, 814, 3366, 547, 20316, 593, 853, 8566, 340, 8759, 2541, 10003, 269, 589, 1353, 676, 519, 10315, 14643, 6069, 11097, 2287, 853, 8566, 340, 8759, 2541, 10003, 883, 513, 2185, 2000, 2033, 4155, 267, 610, 10962, 513, 1007, 23725, 528, 547, 519, 19814, 538, 1063, 608, 1080, 1948, 6434, 543, 1948, 8064, 563, 10387, 1962, 684, 849, 814, 513, 1507, 11332, 26738, 3060, 269, 589, 17919, 8905, 8255, 7532, 1700, 8054, 998, 519, 2146, 269, 901, 8905, 5161, 540, 513, 11332, 13009, 538, 519, 7262, 851, 540, 519, 2146, 267, 513, 11332, 26738, 593, 2349, 9820, 9335, 538, 519, 8998, 267, 543, 513, 11332, 26738, 593, 2578, 6511, 790, 9335, 538, 519, 7532, 563, 288, 27352, 13234, 2011, 7615, 267, 519, 31747, 270, 10387, 1962, 684, 17224, 617, 4435, 568, 4092, 547, 519, 22236, 540, 519, 4683, 1858, 540, 2506, 1962, 684, 563, 1103, 2487, 1296, 267, 18302, 3028, 814, 1044, 5189, 547, 519, 2146, 269, 634, 18513, 2229, 267, 998, 513, 4579, 609, 2558, 650, 1756, 3213, 778, 20514, 267, 8255, 1614, 8445, 16923, 2769, 11507, 547, 25708, 31747, 689, 2506, 1962, 684, 269, 1358, 616, 281, 305, 719, 324, 476, 276, 2537, 267, 799, 21128, 538, 31747, 585, 476, 278, 600, 543, 3762, 31747, 513, 2370, 1310, 476, 274, 10975, 563, 305, 719, 324, 476, 276, 2190, 267, 799, 21128, 538, 31747, 585, 476, 278, 281, 1789, 600, 543, 3762, 31747, 693, 476, 275, 10975, 454, 305, 719, 324, 476, 30589, 267, 799, 21128, 538, 31747, 585, 476, 278, 281, 2004, 600, 543, 3762, 31747, 693, 476, 275, 281, 1428, 10975, 454, 2026, 713, 8905, 568, 26438, 609, 513, 4357, 2754, 267, 3655, 637, 616, 1164, 269, 589, 10865, 1780, 3790, 1269, 22446, 267, 1247, 835, 17574, 6666, 24214, 568, 1269, 1321, 269, 5221, 540, 713, 267, 930, 2506, 1962, 684, 7264, 3079, 1491, 32726, 3690, 17763, 8905, 1948, 22446, 267, 799, 814, 513, 3247, 693, 513, 6288, 543, 11878, 2603, 476, 279, 5998, 5087, 540, 2506, 1962, 684, 269, 901, 568, 14320, 14949, 630, 305, 719, 324, 1948, 22446, 3790, 1269, 15686, 585, 513, 10865, 1780, 543, 1269, 275, 269, 4792, 585, 835, 17574, 1070, 855, 1447, 10375, 267, 607, 32726, 3690, 17763, 1281, 711, 3028, 519, 2146, 3294, 267, 2495, 2506, 1962, 684, 7264, 723, 547, 5397, 476, 279, 5998, 547, 519, 6288, 543, 11878, 2603, 547, 11878, 32726, 3690, 17763, 269, 27953, 476, 22446, 849, 814, 2663, 16516, 2053, 9789, 5767, 7552, 593, 519, 476, 22446, 21128, 538, 31747, 585, 476, 279, 281, 736, 600, 267, 543, 3762, 31747, 693, 476, 276, 281, 1428, 10975, 267, 799, 568, 1454, 811, 10375, 585, 2506, 1962, 684, 7264, 945, 960, 476, 280, 268, 276, 960, 933, 4060, 563, 10387, 1962, 684, 814, 513, 18626, 2916, 609, 3579, 24475, 267, 18519, 28782, 267, 543, 2110, 1313, 8435, 543, 20950, 563, 11764, 11302, 538, 2506, 1962, 684, 2356, 2063, 827, 476, 276, 3275, 1279, 267, 543, 24475, 616, 827, 476, 275, 1700, 275, 16006, 3275, 1279, 269, 4201, 4379, 543, 5614, 616, 10156, 563, 763, 1101, 6777, 17517, 540, 519, 1032, 2356, 2049, 538, 4571, 3562, 2000, 622, 5437, 267, 855, 6777, 3085, 1405, 2965, 3382, 519, 2666, 2394, 5412, 269, 6969, 602, 267, 6777, 2356, 5283, 1206, 607, 4166, 607, 621, 16125, 519, 2666, 563, 1103, 519, 5614, 267, 519, 6777, 2356, 6238, 13621, 538, 4728, 267, 4352, 17573, 834, 342, 1301, 9397, 257, 609, 5210, 607, 1164, 607, 476, 1015, 11019, 290, 630, 2004, 11019, 293, 264, 2356, 2049, 2899, 610, 7466, 538, 5130, 543, 5988, 563, 9827, 267, 538, 519, 5614, 267, 519, 1858, 11148, 547, 9329, 540, 10800, 23226, 267, 543, 519, 2196, 11325, 883, 519, 10011, 528, 5211, 5956, 563, 1103, 2487, 1296, 267, 24475, 723, 20335, 1454, 15911, 267, 865, 1419, 538, 519, 5162, 16171, 4764, 786, 2049, 269, 901, 2306, 6117, 1360, 13818, 543, 1419, 666, 26118, 1153, 21772, 543, 2306, 519, 9897, 1360, 476, 5390, 585, 513, 1906, 2395, 563, 1103, 519, 4832, 267, 11195, 568, 1419, 1455, 267, 2523, 538, 5147, 269, 4014, 5210, 616, 2356, 1175, 896, 476, 1789, 11019, 290, 630, 10436, 11019, 293, 1070, 609, 519, 11195, 621, 666, 1745, 607, 3905, 607, 476, 3374, 11019, 290, 610, 2362, 269, 0, 763, 3950, 7121, 568, 519, 16144, 896, 799, 707, 7493, 786, 581, 12649, 543, 2663, 3370, 538, 519, 10554, 9102, 6927, 952, 7608, 269, 4438, 519, 19169, 1184, 267, 596, 786, 581, 4280, 547, 2824, 835, 3950, 7121, 585, 707, 7493, 563, 32747, 26669, 14347, 568, 513, 20614, 540, 4915, 602, 4145, 3294, 609, 519, 1353, 540, 3339, 8459, 1599, 267, 8459, 2042, 267, 519, 2126, 540, 8459, 2042, 543, 17669, 10682, 3797, 1519, 31533, 543, 8459, 24328, 269, 11916, 26669, 14347, 568, 513, 7936, 540, 519, 31706, 543, 17328, 8824, 338, 602, 4145, 827, 519, 7634, 540, 519, 8459, 1599, 267, 13605, 327, 14347, 32277, 625, 267, 519, 2126, 540, 519, 13605, 327, 14347, 22074, 543, 17669, 24328, 2126, 5560, 658, 1736, 543, 8459, 24328, 1040, 17718, 7958, 1404, 513, 4105, 1909, 585, 1272, 609, 741, 1950, 3060, 540, 1973, 8043, 543, 6946, 3060, 540, 13740, 543, 8685, 2737, 602, 6882, 1973, 540, 922, 3653, 2472, 543, 4430, 1216, 269, 17718, 7958, 2226, 15559, 267, 32690, 267, 543, 1351, 4592, 633, 3490, 4287, 602, 616, 9168, 676, 8459, 4731, 8014, 2175, 543, 538, 1840, 5061, 543, 13802, 269, 13605, 327, 14347, 3676, 4383, 7634, 540, 519, 6093, 2324, 540, 519, 14401, 543, 922, 19210, 525, 269, 26640, 8764, 725, 267, 2052, 6203, 540, 519, 14401, 267, 15485, 267, 543, 23443, 628, 571, 267, 12186, 540, 32277, 625, 899, 3987, 543, 13119, 593, 14401, 267, 18729, 3490, 12150, 4162, 267, 13605, 327, 26578, 4524, 543, 26669, 8539, 267, 7629, 5222, 540, 6527, 543, 1093, 11143, 593, 519, 14401, 267, 12480, 1736, 543, 922, 1279, 2165, 8374, 910, 31533, 16621, 688, 655, 617, 658, 1736, 543, 849, 829, 32050, 531, 31533, 267, 16790, 14545, 3676, 1519, 4761, 1062, 21729, 1529, 4345, 267, 20461, 267, 543, 865, 8521, 269, 12443, 1097, 10973, 14401, 5563, 1141, 5458, 1332, 2195, 610, 5277, 4904, 5485, 338, 616, 8032, 3330, 519, 8459, 10556, 532, 922, 3252, 6253, 529, 568, 22787, 543, 15110, 610, 22420, 2783, 563, 268, 25397, 476, 272, 268, 272, 27287, 1416, 13605, 327, 14347, 454, 268, 25397, 476, 272, 268, 273, 1805, 655, 8426, 543, 3204, 17654, 13605, 327, 14347, 454, 268, 25397, 476, 272, 268, 274, 4002, 322, 11043, 13605, 327, 14347, 454, 268, 25397, 476, 272, 268, 275, 11917, 560, 10614, 13605, 327, 1886, 4331, 454, 268, 25397, 476, 272, 268, 276, 301, 32397, 1258, 11916, 26821, 454, 308, 14347, 849, 5219, 547, 607, 1024, 527, 712, 2435, 10551, 5650, 568, 7936, 540, 4915, 799, 9388, 609, 519, 10551, 543, 2564, 4576, 1459, 538, 519, 17256, 8778, 543, 3968, 538, 1022, 851, 540, 519, 17256, 8778, 568, 1634, 607, 17256, 8778, 3968, 269, 3493, 1742, 593, 519, 1747, 540, 25124, 621, 568, 3957, 8335, 269, 1879, 519, 3968, 568, 593, 519, 5580, 17256, 8778, 1287, 568, 5219, 547, 607, 7510, 601, 517, 32397, 8539, 269, 1323, 1418, 799, 2501, 896, 579, 14347, 568, 14401, 267, 29427, 15374, 267, 23443, 628, 571, 267, 19786, 543, 5256, 10285, 1418, 269, 5871, 4576, 5161, 540, 772, 2316, 267, 7984, 2435, 538, 11666, 775, 267, 22480, 14382, 1738, 5409, 25936, 269, 634, 1034, 1455, 2014, 540, 3968, 568, 18521, 615, 747, 807, 16509, 824, 982, 4551, 13271, 666, 849, 2014, 519, 3968, 269, 23369, 547, 891, 5563, 13315, 1906, 4255, 899, 2712, 1400, 1736, 267, 10729, 22794, 269, 5811, 5650, 15320, 547, 519, 9907, 1004, 543, 621, 849, 2352, 269, 4014, 17256, 1062, 814 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 476, 11152, 1700, 9032, 630, 1708, 271, 1916, 291, 1263, 267, 654, 269, 1696, 620, 269, 12729, 4598, 547, 16568, 17336, 268, 273, 14014, 1996, 5368, 325, 1254, 538, 678, 1127, 639, 5672, 320, 13196, 269, 3163, 476, 3607, 280, 263, 20981, 276, 1070, 476, 279, 1240, 1700, 279, 2537, 630, 1708, 271, 1916, 29834, 267, 654, 1421, 12448, 525, 267, 595, 269, 670, 269, 1299, 700, 4660, 18721, 267, 623, 269, 623, 269, 589, 3644, 5833, 689, 14798, 2550, 269, 31102, 476, 19442, 267, 476, 5780, 1700, 6924, 630, 4350, 274, 1916, 32178, 267, 631, 269, 1696, 620, 269, 16568, 17336, 268, 273, 568, 10299, 3842, 3346, 543, 3842, 519, 2011, 1063, 7542, 28905, 269, 7186, 18058, 476, 1556, 263, 272, 1070, 476, 4097, 280, 277, 630, 1708, 271, 1916, 298, 574, 267, 962, 269, 594, 269, 1696, 620, 269, 25124, 543, 4028, 6771, 540, 16568, 17336, 268, 273, 538, 7542, 28905, 269, 8426, 21118, 5843, 2041, 476, 2767, 267, 476, 3583, 275, 268, 3583, 280, 4318, 273, 630, 1708, 271, 1916, 295, 340, 836, 267, 595, 269, 1696, 620, 269, 11916, 2934, 540, 2550, 7783, 609, 476, 1001, 280, 3209, 11452, 538, 18961, 7315, 3624, 269, 31102, 476, 4375, 276, 267, 476, 5392, 278, 1700, 2004, 277, 630, 1708, 271, 1916, 4537, 328, 267, 808, 269, 1696, 620, 269, 12246, 1061, 2225, 540, 7542, 28905, 267, 7314, 267, 5243, 267, 543, 824, 30042, 2831, 547, 16568, 2275, 528, 517, 8785, 476, 273, 269, 3163, 476, 3607, 279, 267, 476, 6200, 277, 1700, 9083, 271, 630, 1708, 271, 1916, 19913, 331, 2714, 879, 267, 918, 269, 1696, 620, 269, 21885, 6771, 2090, 540, 16568, 17336, 268, 273, 538, 4829, 16835, 7542, 28905, 267, 14918, 543, 17944, 269, 9399, 305, 301, 5082, 1258, 269, 808, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 22659, 280, 270, 1087, 337, 333, 269, 3374, 278, 279, 8064, 273, 630, 1708, 271, 1916, 305, 12505, 267, 918, 269, 589, 269, 1696, 620, 269, 667, 846, 17466, 3210, 547, 3968, 609, 16568, 17336, 268, 273, 538, 519, 7542, 4958, 2203, 543, 2963, 540, 8825, 12046, 269, 14844, 269, 4004, 269, 476, 1321, 267, 476, 10037, 630, 1708, 272, 1916, 300, 6702, 267, 717, 269, 589, 269, 1696, 620, 269, 769, 20117, 1915, 5314, 540, 16568, 17336, 268, 273, 543, 18687, 540, 6469, 7542, 28905, 630, 300, 755, 11253, 2322, 528, 3780, 535, 1755, 1040, 3690, 20129, 269, 9622, 326, 269, 2598, 269, 476, 7597, 263, 273, 1070, 476, 29574, 1700, 28906, 630, 1708, 272, 1916, 292, 3164, 1777, 267, 670, 269, 661, 269, 1696, 620, 269, 2271, 3757, 29569, 3968, 540, 7542, 28905, 609, 16568, 17336, 268, 273, 607, 513, 2203, 585, 28105, 1480, 3968, 269, 5164, 4926, 476, 1724, 263, 272, 1070, 476, 13647, 630, 1708, 272, 1916, 290, 3315, 267, 700, 269, 1696, 620, 269, 1772, 15684, 543, 4028, 4687, 540, 519, 476, 1001, 280, 3209, 11452, 630, 306, 12678, 17336, 268, 273, 264, 689, 519, 1101, 3461, 8995, 609, 5046, 268, 866, 538, 5245, 269, 2405, 269, 808, 269, 3243, 269, 476, 18891, 267, 476, 3393, 280, 1700, 5379, 273, 630, 1708, 271, 1916, 289, 21516, 267, 667, 269, 595, 269, 1696, 620, 269, 25417, 6855, 3210, 1210, 1024, 15299, 543, 6915, 514, 26197, 281, 589, 2013, 1353, 593, 519, 28928, 16568, 17336, 268, 273, 12176, 269, 3690, 20129, 269, 9622, 326, 269, 2598, 269, 476, 6858, 263, 275, 1070, 476, 13970, 274, 1700, 16409, 273, 630, 1708, 271, 1916, 3725, 539, 267, 700, 269, 808, 269, 1299, 16334, 26067, 267, 670, 269, 589, 2241, 1505, 540, 21501, 15823, 829, 1298, 1439, 9557, 269, 2549, 269, 808, 269, 25731, 2723, 269, 476, 2767, 267, 476, 5392, 274, 1700, 5392, 278, 630, 4350, 279, 1916, 21930, 267, 645, 269, 661, 269, 1696, 620, 269, 25731, 328, 11043, 2934, 543, 4791, 1576, 540, 2550, 7783, 609, 16568, 17336, 268, 273, 538, 14135, 269, 808, 24717, 476, 26825, 263, 1428, 1070, 476, 14681, 271, 630, 1708, 271, 1916, 299, 525, 10810, 267, 674, 269, 2473, 269, 1696, 620, 269, 11916, 543, 19274, 25233, 1239, 540, 519, 1101, 2665, 540, 5046, 268, 866, 538, 2342, 281, 589, 2013, 3126, 269, 31102, 16791, 269, 2598, 269, 476, 736, 267, 476, 7597, 278, 1700, 3583, 277, 630, 1708, 271, 1916, 295, 340, 836, 267, 595, 269, 1696, 620, 269, 11916, 2934, 540, 2550, 7783, 609, 476, 1001, 280, 3209, 11452, 538, 18961, 7315, 267, 3624, 269, 31102, 476, 4375, 276, 267, 476, 5392, 278, 1700, 2004, 277, 630, 1708, 271, 1916, 10817, 24473, 267, 590, 1421, 26436, 267, 808, 1421, 3911, 1080, 267, 590, 1421, 7201, 6229, 267, 808, 269, 1299, 26541, 342, 8643, 267, 590, 269, 6431, 11962, 10194, 17766, 540, 16568, 17336, 268, 273, 538, 535, 2801, 806, 1765, 288, 4028, 2689, 269, 2051, 28030, 269, 2598, 269, 476, 2420, 267, 476, 277, 1556, 1700, 30663, 630, 1708, 271, 1916, 300, 5674, 518, 578, 6308, 267, 661, 269, 589, 1421, 6762, 614, 2006, 267, 589, 1421, 19413, 267, 681, 269, 570, 269, 1299, 29017, 267, 623, 269, 661, 269, 28298, 540, 16568, 17336, 268, 273, 281, 589, 2689, 540, 10194, 267, 3984, 267, 543, 2825, 2188, 269, 7788, 269, 2902, 269, 2405, 269, 476, 14690, 267, 476, 7597, 1700, 8064, 630, 1708, 272, 1916, 290, 1156, 267, 715, 269, 1696, 620, 269, 25731, 8344, 543, 4791, 4162, 540, 476, 4200, 2665, 540, 476, 1001, 280, 3209, 11452, 16415, 538, 18961, 7315, 267, 3624, 281, 589, 10855, 1353, 269, 31102, 476, 4375, 276, 267, 476, 2004, 278, 1700, 276, 1724, 630, 1708, 271, 1916, 306, 21036, 267, 808, 269, 918, 1421, 2473, 807, 267, 808, 1421, 6182, 1180, 514, 267, 808, 269, 631, 1421, 1621, 548, 267, 590, 269, 918, 269, 1299, 32021, 889, 22603, 267, 808, 269, 589, 269, 26590, 5409, 16744, 20945, 13251, 676, 11337, 8533, 24474, 2643, 8872, 23236, 538, 14148, 281, 31469, 543, 6286, 585, 840, 30570, 3631, 269, 5890, 269, 22776, 269, 2405, 269, 630, 9802, 6229, 264, 476, 15996, 267, 476, 6507, 278, 1700, 4281, 275, 630, 1220, 276, 1916, 313, 340, 7875, 1512, 267, 595, 269, 808, 1421, 25391, 17507, 267, 589, 1421, 670, 719, 523, 267, 590, 269, 631, 1421, 670, 3326, 10458, 267, 631, 269, 654, 269, 1299, 7579, 6359, 333, 267, 654, 269, 808, 269, 19630, 1944, 606, 20469, 20786, 585, 6391, 538, 8983, 998, 6922, 1436, 540, 8280, 17871, 267, 10894, 267, 543, 12982, 32677, 725, 269, 5890, 269, 22776, 269, 2405, 269, 630, 9802, 6229, 264, 476, 26839, 267, 476, 278, 4391, 1700, 278, 5379, 630, 1001, 275, 1916, 2026, 14508, 6261, 334, 30377, 267, 589, 269, 589, 269, 1299, 3244, 8643, 267, 700, 269, 6239, 8401, 1062, 19183, 540, 5046, 268, 866, 281, 589, 9836, 2689, 269, 808, 269, 3026, 340, 1503, 269, 2233, 269, 476, 31979, 267, 476, 14138, 279, 3953, 630, 1708, 271, 1916, 300, 21807, 641, 9567, 537, 267, 590, 269, 1696, 620, 269, 5274, 11452, 32726, 6246, 2404, 609, 14603, 29363, 4345, 269, 715, 269, 1621, 331, 269, 808, 269, 2405, 269, 476, 23841, 267, 476, 5392, 278, 1700, 5392, 279, 630, 1001, 277, 1916, 300, 6702, 267, 717, 269, 589, 269, 1696, 620, 269, 932, 3849, 23682, 272, 562, 10870, 309, 268, 866, 630, 288, 313, 291, 14338, 273, 264, 6669, 11134, 3648, 6971, 16568, 17336, 268, 273, 17766, 538, 7542, 28905, 269, 26128, 297, 17261, 1149, 476, 277, 267, 476, 6858, 630, 1708, 272, 1916, 2171, 1131, 899, 547, 11760, 519, 6351, 540, 21877, 2353, 18133, 339, 267, 4793, 878, 807, 8304, 515, 518, 267, 543, 27813, 15794, 689, 595, 10485, 4629, 282, 25138, 1744, 31103, 742, 543, 5261, 22337, 1782, 689, 595, 7968, 296, 282, 585, 741, 1489, 1282, 713, 1788, 269, 1284, 849, 16416, 2685, 11760, 519, 2930, 948, 540, 519, 589, 7374, 303, 2876, 1108, 12243, 269, 634, 4589, 11760, 519, 8241, 10418, 585, 8376, 16721, 1563, 1145, 267, 538, 3246, 519, 9744, 1031, 538, 519, 12032, 540, 713, 960, 269, 8750, 539, 998, 519, 2817, 20985, 3194, 24486, 15613, 630, 301, 10135, 3041, 1070, 589, 7374, 303, 814, 3177, 4359, 2029, 543, 5989, 538, 519, 8447, 1230, 24287, 630, 15425, 264, 476, 275, 2098, 3019, 2670, 2672, 924, 543, 4437, 846, 10810, 16332, 1108, 6997, 585, 946, 538, 713, 1382, 1788, 269, 901, 1382, 729, 14102, 676, 513, 9886, 689, 519, 29663, 585, 20615, 2438, 16721, 1563, 1145, 11627, 725, 630, 4753, 18444, 264, 543, 519, 20448, 11660, 543, 11633, 3194, 25944, 630, 5425, 296, 4629, 1916, 306, 1440, 5424, 7186, 3788, 9243, 609, 2543, 547, 11758, 12302, 6811, 538, 3370, 7851, 543, 12250, 28930, 725, 563, 10666, 713, 2376, 454, 29241, 713, 2376, 454, 288, 340, 267, 717, 14371, 1421, 15794, 267, 717, 6993, 1421, 5062, 288, 2544, 344, 267, 589, 12282, 269, 1696, 620, 269, 10886, 5314, 543, 2067, 11144, 540, 16568, 17336, 268, 273, 3968, 538, 7542, 28905, 269, 2233, 3115, 476, 1321, 267, 476, 6321, 279, 271, 630, 1708, 273, 1040, 4179, 2517, 8742, 3820, 270, 1015, 269, 9818, 279, 4882, 25870, 7176, 268, 28873, 268, 5400, 275, 4029, 268, 277, 0, 303, 32535, 344, 7646, 1168, 568, 513, 9425, 1455, 3390, 585, 1330, 1326, 5052, 267, 2695, 10449, 543, 6802, 9469, 269, 898, 6238, 547, 1860, 873, 538, 3735, 4832, 543, 568, 711, 1945, 547, 5855, 827, 269, 634, 3762, 786, 1376, 547, 1020, 513, 17642, 880, 15098, 1354, 7432, 5835, 543, 5555, 12955, 1055, 563, 2791, 3580, 1034, 2693, 1265, 602, 519, 7646, 1168, 5540, 519, 4587, 3762, 15029, 519, 1007, 3762, 1332, 998, 9985, 1072, 1176, 267, 543, 602, 519, 2030, 5170, 547, 3132, 17580, 5613, 585, 1896, 4374, 19952, 269, 3776, 5796, 1131, 581, 547, 3274, 4894, 519, 10782, 540, 519, 4299, 3762, 547, 1450, 519, 1007, 2208, 547, 2097, 998, 267, 543, 711, 547, 5855, 1932, 1454, 827, 621, 269, 1411, 1223, 2119, 513, 5144, 270, 4248, 10936, 630, 272, 851, 5144, 547, 476, 274, 2694, 1216, 10936, 539, 593, 519, 3762, 264, 952, 596, 1616, 267, 855, 3314, 602, 713, 568, 1360, 1454, 851, 540, 519, 2371, 685, 2067, 4783, 543, 786, 581, 2352, 547, 2061, 269, 0, 2690, 1034, 1357, 3135, 5411, 519, 17950, 540, 1357, 1374, 2611, 513, 7294, 9814, 269, 4107, 1004, 4782, 547, 4497, 519, 2533, 540, 513, 3318, 1357, 1374, 2754, 971, 607, 12213, 6611, 5071, 547, 1491, 782, 519, 7294, 1357, 1646, 960, 1055, 741, 3946, 563, 4913, 267, 952, 707, 1357, 3135, 568, 5497, 585, 5010, 946, 267, 972, 568, 1100, 2800, 538, 5329, 32448, 540, 5571, 7835, 269, 2290, 540, 891, 568, 519, 946, 540, 22898, 610, 968, 322, 2444, 8172, 2511, 9212, 892, 883, 1357, 1374, 543, 519, 575, 626, 540, 713, 568, 5941, 2630, 269, 20323, 267, 14103, 729, 519, 1152, 4950, 1893, 2139, 585, 2679, 1357, 3817, 269, 2311, 1101, 14103, 1152, 18808, 609, 1257, 543, 713, 568, 1018, 1500, 909, 2038, 1357, 4609, 269, 16103, 543, 1239, 11231, 538, 7515, 3357, 2059, 1985, 543, 713, 729, 11368, 883, 2663, 8747, 540, 14103, 269, 1717, 267, 972, 7283, 1978, 28919, 609, 14103, 602, 5921, 602, 621, 7948, 1406, 581, 1031, 585, 519, 1034, 1950, 540, 4247, 799, 3755, 941, 4098, 547, 2097, 547, 2503, 563, 12487, 7876, 729, 2699, 525, 11220, 538, 1931, 547, 581, 2111, 547, 1711, 1732, 2360, 538, 606, 740, 554, 665, 4990, 540, 513, 1259, 269, 1306, 519, 1297, 540, 4950, 26292, 2799, 267, 789, 941, 1210, 741, 1378, 1808, 4654, 543, 621, 729, 2182, 585, 1357, 9858, 547, 1711, 3817, 602, 1223, 581, 1031, 676, 1169, 11422, 2139, 269, 634, 14103, 2813, 2968, 2479, 811, 25302, 538, 606, 3801, 547, 1118, 873, 960, 593, 1114, 5665, 1949, 543, 519, 3009, 2813, 729, 711, 2731, 602, 5078, 269, 9664, 3576, 3476, 543, 3476, 547, 4647, 543, 1357, 1569, 2968, 513, 2603, 14887, 269, 2290, 540, 519, 824, 27656, 2355, 609, 14103, 729, 538, 2870, 2511, 538, 1257, 269, 634, 1259, 538, 799, 519, 2511, 729, 4294, 1185, 547, 581, 7368, 936, 543, 936, 1586, 543, 1142, 7368, 3498, 1185, 547, 1831, 851, 540, 519, 3009, 602, 729, 16041, 5196, 519, 11422, 1354, 621, 1223, 581, 1224, 269, 901, 5921, 602, 513, 2603, 540, 519, 3009, 1031, 729, 2731, 32118, 610, 11032, 947, 3320, 16625, 563, 763, 1101, 4528, 540, 22898, 267, 22898, 272, 267, 729, 5950, 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 ]
[ 519, 9803, 1648, 1533, 2306, 621, 796, 10849, 969, 762, 269, 1284, 1294, 1919, 676, 1259, 540, 4334, 269, 634, 3750, 1568, 676, 15603, 1769, 2887, 593, 519, 6382, 4158, 22100, 269, 1809, 952, 519, 3750, 941, 4904, 609, 1769, 267, 972, 1131, 581, 1100, 14334, 547, 6488, 513, 4334, 269, 634, 4642, 15304, 2361, 568, 971, 513, 1025, 4193, 1769, 269, 4595, 621, 568, 10876, 267, 3330, 543, 3544, 540, 721, 267, 15449, 908, 1169, 11046, 538, 938, 4703, 267, 649, 616, 3927, 9420, 547, 621, 269, 898, 9420, 338, 721, 547, 922, 4527, 269, 634, 1158, 540, 1769, 602, 649, 798, 1294, 568, 782, 519, 1964, 540, 519, 1769, 602, 568, 936, 543, 1657, 519, 4642, 15304, 2361, 563, 2171, 3112, 9004, 519, 4642, 15304, 2361, 689, 938, 4064, 267, 855, 621, 568, 2009, 547, 9004, 513, 2370, 3787, 540, 621, 689, 519, 3148, 1063, 1079, 4496, 10824, 269, 630, 20007, 1227, 267, 713, 814, 547, 798, 609, 2175, 519, 13590, 6329, 1590, 14183, 593, 519, 6676, 6302, 8094, 288, 10656, 21997, 267, 26673, 20891, 16629, 25504, 267, 10567, 538, 476, 3707, 279, 4010, 875, 1454, 540, 519, 4642, 15304, 2361, 1131, 1439, 909, 1373, 16934, 538, 519, 7934, 1063, 519, 10824, 267, 543, 875, 713, 1131, 12958, 513, 3196, 267, 2094, 972, 568, 1287, 606, 936, 12304, 675, 593, 519, 3544, 540, 519, 10824, 269, 16629, 25504, 10567, 519, 6935, 1063, 519, 7934, 543, 519, 3196, 1360, 10502, 269, 1411, 666, 267, 2705, 267, 1152, 23868, 513, 6263, 6824, 540, 519, 4642, 15304, 2361, 689, 519, 7934, 1063, 519, 10824, 538, 713, 1259, 269, 22388, 842, 30698, 569, 267, 519, 6251, 519, 10824, 2097, 1927, 267, 519, 811, 540, 519, 4642, 15304, 2361, 4991, 16934, 267, 855, 972, 568, 513, 3970, 547, 713, 1184, 1317, 10824, 616, 1500, 909, 540, 8444, 543, 596, 3112, 1118, 519, 7934, 1063, 519, 10824, 4130, 982, 519, 8444, 602, 13822, 519, 10824, 269, 901, 16629, 25504, 3196, 814, 1631, 1044, 9308, 6027, 267, 543, 519, 2164, 3858, 1360, 1134, 609, 1010, 12605, 563, 763, 6602, 602, 1250, 26393, 1101, 1500, 538, 476, 1960, 273, 849, 814, 547, 798, 609, 513, 3196, 602, 519, 4642, 15304, 2361, 12958, 267, 799, 3217, 721, 1394, 547, 674, 284, 2742, 267, 13053, 779, 4583, 3830, 540, 5163, 269, 13053, 1107, 543, 782, 21575, 2094, 1107, 723, 10924, 602, 782, 2339, 19299, 606, 17916, 2527, 267, 519, 544, 538, 13053, 779, 3830, 269, 634, 2527, 540, 606, 1843, 568, 513, 2268, 540, 922, 24880, 267, 922, 4187, 547, 10231, 267, 519, 513, 269, 634, 3830, 540, 5163, 267, 1634, 607, 13053, 779, 2034, 1876, 267, 2829, 602, 952, 596, 4019, 513, 3196, 267, 674, 267, 547, 606, 1843, 596, 786, 1205, 606, 10231, 267, 513, 1107, 855, 519, 811, 2527, 267, 544, 267, 519, 1843, 19299, 267, 519, 1447, 10231, 596, 786, 1205, 585, 513, 2016, 3196, 269, 769, 824, 1913, 267, 519, 3196, 621, 3217, 547, 17108, 513, 19735, 533, 3089, 547, 513, 1164, 3432, 786, 18923, 5229, 613, 513, 1286, 269, 1280, 1022, 2016, 3196, 267, 674, 267, 952, 544, 4422, 909, 267, 513, 4422, 1524, 267, 543, 13030, 17930, 563, 3963, 568, 713, 286, 1548, 5795, 2339, 713, 3959, 540, 28429, 16931, 658, 2527, 286, 4284, 27913, 3006, 2911, 827, 513, 1523, 1634, 607, 968, 300, 778, 779, 20232, 892, 855, 782, 602, 1281, 568, 547, 3715, 513, 1978, 2078, 1063, 8904, 543, 24880, 269, 898, 3085, 1406, 2731, 2161, 875, 782, 1570, 3615, 10536, 2527, 269, 769, 1249, 267, 519, 960, 602, 681, 4240, 320, 267, 594, 543, 1776, 26393, 267, 16199, 623, 3578, 4752, 267, 723, 2094, 2944, 5815, 602, 2527, 568, 267, 538, 1198, 267, 606, 21903, 269, 17460, 759, 1235, 10231, 711, 1317, 621, 19299, 930, 17916, 3364, 1572, 2527, 267, 855, 1317, 519, 4642, 15304, 2361, 11851, 338, 513, 3196, 8164, 10231, 3217, 1747, 269, 1677, 2322, 621, 538, 10169, 21042, 9713, 2474, 267, 972, 6818, 513, 4282, 4262, 540, 7061, 1769, 11423, 519, 7122, 267, 543, 602, 1769, 12958, 513, 3196, 602, 1727, 4680, 10231, 950, 596, 7903, 593, 1022, 1570, 1843, 269, 2334, 568, 1946, 2339, 4667, 547, 581, 519, 4396, 267, 7123, 8631, 602, 649, 543, 938, 1158, 616, 1500, 540, 563, 306, 11691, 713, 568, 835, 3364, 269, 1160, 1324, 621, 23963, 568, 1776, 269, 898, 3576, 513, 1032, 543, 513, 3368, 540, 12719, 543, 1603, 543, 3206, 267, 936, 543, 936, 1586, 267, 547, 13217, 1312, 519, 2093, 2933, 543, 519, 6881, 547, 519, 1448, 540, 8313, 538, 513, 3318, 1382, 4760, 269, 2201, 606, 4081, 2053, 7051, 713, 729, 2965, 7168, 2656, 267, 543, 649, 941, 2111, 547, 15476, 538, 1018, 568, 4922, 9833, 607, 519, 1158, 779, 3056, 6323, 4760, 267, 519, 8447, 5623, 267, 538, 5988, 476, 1960, 275, 269, 1677, 1283, 621, 1055, 267, 3163, 543, 11660, 1977, 10443, 2984, 593, 938, 1007, 24880, 8367, 269, 1284, 31372, 585, 930, 5114, 269, 14348, 824, 3744, 6961, 721, 1318, 610, 6961, 721, 4636, 286, 26681, 5949, 563, 4263, 602, 1448, 538, 1250, 4876, 594, 729, 2907, 513, 9425, 1134, 28004, 10196, 267, 1373, 513, 9030, 31375, 593, 8331, 1382, 14828, 267, 7674, 607, 606, 12314, 9375, 540, 519, 8330, 5268, 9713, 4750, 267, 543, 2348, 1082, 19421, 540, 12326, 538, 519, 6252, 2361, 540, 28936, 12695, 269, 769, 24794, 1051, 267, 1250, 1995, 1058, 723, 19230, 803, 602, 649, 1185, 5887, 3293, 883, 5906, 7811, 7297, 267, 602, 649, 941, 2469, 547, 581, 2451, 593, 938, 1378, 547, 16173, 610, 7669, 269, 11569, 267, 594, 1131, 4440, 723, 3144, 519, 1482, 7227, 7146, 268, 5408, 10182, 8885, 1185, 594, 1044, 593, 519, 3544, 3168, 538, 563, 2304, 4244, 547, 2348, 824, 3744, 21613, 707, 960, 543, 6961, 602, 596, 616, 1318, 568, 547, 1205, 519, 1482, 1267, 3054, 1210, 513, 4625, 1114, 1935, 269, 594, 5206, 513, 1382, 11556, 547, 8331, 543, 1325, 325, 517, 810, 12617, 5128, 538, 1007, 9273, 269, 1284, 3893, 7616, 543, 649, 3893, 2164, 269, 769, 476, 1960, 279, 267, 649, 3370, 1079, 1007, 4574, 602, 1586, 4951, 602, 519, 24880, 540, 2339, 1223, 581, 14360, 1394, 547, 519, 4642, 15304, 2361, 269, 1656, 711, 1152, 729, 519, 1935, 538, 1346, 4574, 4625, 1114, 982, 538, 519, 476, 1960, 275, 1957, 267, 855, 519, 6128, 729, 12863, 1247, 519, 6323, 729, 811, 2347, 281, 513, 1034, 14909, 4999, 269, 1548, 779, 811, 267, 519, 3312, 2079, 1185, 1031, 13053, 1014, 8106, 6323, 282, 519, 1007, 2079, 1031, 18160, 1014, 8887, 643, 2065, 6323, 563, 2026, 9415, 607, 594, 993, 267, 621, 568, 1869, 1932, 2038, 547, 2161, 2436, 1686, 786, 6961, 721, 1318, 610, 4636, 269, 1809, 952, 649, 616, 1318, 267, 1287, 968, 4131, 972, 581, 1769, 892, 568, 8197, 513, 1360, 7096, 3948, 267, 607, 835, 1522, 2503, 540, 922, 1625, 19959, 2278, 269, 634, 4396, 267, 7123, 1158, 540, 2339, 5526, 547, 581, 13455, 693, 1169, 8216, 676, 606, 5817, 4262, 540, 7061, 1648, 563, 3719, 1577, 779, 1491, 713, 1256, 835, 1900, 2417, 269, 1403, 621, 568, 519, 5817, 7706, 540, 1769, 602, 568, 519, 4909, 4641, 605, 6137, 909, 938, 2168, 7122, 267, 1577, 721, 2307, 6000, 875, 519, 7122, 540, 2230, 543, 942, 1131, 2408, 689, 519, 5133, 540, 513, 11237, 540, 1769, 269, 634, 4031, 540, 25536, 616, 2312, 593, 713, 1448, 269, 1403, 596, 1223, 11878, 513, 11237, 540, 1769, 607, 606, 20626, 267, 782, 540, 2230, 1131, 16756, 547, 513, 1448, 267, 543, 782, 540, 942, 1131, 12900, 547, 606, 8216, 269, 769, 519, 4704, 7406, 540, 1769, 267, 972, 568, 1100, 2230, 543, 942, 269, 1403, 649, 1413, 909, 693, 519, 1656, 668, 20364, 14925, 538, 519, 3781, 6607, 267, 649, 1294, 1769, 602, 689, 938, 1448, 540, 2070, 3576, 476, 273, 2929, 1296, 547, 29906, 602, 5318, 3845, 540, 2230, 269, 1809, 547, 513, 11237, 540, 1769, 10237, 908, 689, 930, 5182, 538, 519, 1656, 668, 20364, 14925, 267, 519, 6771, 689, 922, 1448, 540, 5169, 547, 938, 3750, 729, 31302, 563, 2467, 1590, 581, 513, 4514, 2495, 538, 891, 2168, 5013, 267, 513, 4514, 5168, 827, 519, 21800, 954, 28947, 540, 782, 1919, 269, 898, 939, 330, 976, 721, 4464, 538, 938, 3406, 585, 513, 1732, 267, 1854, 518, 1620, 540, 519, 2470, 540, 519, 7122, 267, 540, 519, 8129, 540, 2230, 543, 942, 1107, 1346, 968, 650, 16272, 892, 602, 2943, 1745, 865, 1483, 547, 721, 563, 289, 1716, 14551, 670, 9820, 577, 267, 5234, 21997, 693, 519, 24522, 515, 539, 9410, 9891, 1299, 8330, 5268, 12695, 12524, 538, 6022, 334, 1325, 1729, 267, 4993, 267, 568, 513, 3621, 9375, 540, 634, 8330, 5268, 9713, 4750, 543, 9375, 2987, 268, 27815, 540, 519, 4750, 540, 11660, 16709, 563, 15100, 476, 1220, 272, 3163, 1299, 13336, 18225, 269, 2353, 2924, 11603, 0, 1607, 1808, 9768, 7160, 568, 4867, 711, 2139, 24707, 782, 12215, 540, 713, 9768, 7160, 912, 2171, 1589, 540, 519, 11193, 607, 513, 26124, 5736, 540, 1480, 9740, 8584, 533, 4883, 12386, 540, 7499, 21184, 543, 1480, 626, 11958, 4800, 267, 519, 942, 540, 9956, 267, 18466, 32109, 267, 543, 8053, 5218, 324, 269, 8616, 621, 729, 849, 606, 2085, 540, 3586, 267, 3771, 8089, 13137, 269, 14022, 625, 267, 711, 15806, 267, 8032, 519, 3068, 540, 2342, 607, 2413, 4182, 32145, 7153, 689, 32540, 2486, 269, 769, 674, 3753, 267, 835, 540, 519, 3056, 5640, 540, 11193, 1686, 19306, 519, 4158, 4641, 540, 519, 1974, 538, 513, 17680, 6137, 2239, 24463, 563, 2026, 700, 879, 549, 6742, 1149, 2982, 721, 267, 968, 20135, 2112, 892, 729, 1100, 14206, 10601, 5647, 269, 1452, 7526, 838, 1563, 1100, 21127, 538, 741, 2619, 269, 589, 11193, 7952, 729, 513, 5985, 2749, 23949, 3975, 267, 513, 3196, 540, 8938, 8536, 610, 17288, 8536, 2367, 729, 3677, 982, 1082, 4872, 540, 519, 1554, 269, 1656, 621, 729, 513, 20599, 267, 1821, 28666, 1426, 543, 7727, 585, 5195, 1472, 269, 898, 2367, 3166, 10034, 543, 519, 24781, 7146, 3294, 2914, 603, 26380, 543, 2068, 267, 1419, 811, 24037, 982, 8396, 269, 674, 18017, 3294, 729, 5260, 720, 267, 922, 5208, 2799, 676, 519, 946, 540, 9241, 11827, 9604, 267, 689, 1660, 22806, 547, 6180, 1513, 563, 2690, 5553, 267, 4967, 6742, 1149, 267, 519, 1686, 540, 713, 1974, 814, 23163, 23372, 267, 968, 14683, 6214, 2223, 543, 4108, 12485, 269, 674, 3753, 12662, 721, 593, 519, 4395, 3515, 540, 6370, 267, 543, 593, 519, 10754, 540, 4872, 896, 26362, 267, 547, 7866, 1018, 2342, 781, 10617, 5921, 547, 519, 2367, 543, 2021, 945, 28815, 873, 563, 257, 27675, 18462, 257, 949, 4866, 547, 1776, 7160, 540, 713, 2140, 563, 299, 879, 549, 6742, 1149, 568, 835, 540, 519, 1158, 781, 19466, 12206, 540, 519, 7969, 11193, 543, 2038, 2413, 2342, 269, 1261, 568, 519, 2278, 540, 8370, 2835, 267, 1034, 5063, 519, 9691, 28601, 9605, 538, 519, 4975, 281, 14205, 517, 541, 7637, 543, 519, 26647, 24327, 585, 11193, 23509, 543, 4989, 10552, 281, 23509, 543, 519, 18140, 18830, 519, 5709, 328, 269, 18004, 538, 9628, 267, 646, 729, 513, 7548, 540, 1686, 693, 17459, 6369, 269, 1261, 1631, 2729, 538, 5507, 609, 1010, 7385, 267, 519, 29787, 27813, 744, 262, 293, 320, 565, 664, 269, 5804, 3883, 4289, 912, 4462, 331, 13806, 941, 21127, 540, 2038, 2413, 2342, 538, 519, 2619, 540, 606, 7952, 593, 519, 15292, 610, 538, 513, 2749, 896, 26362, 269, 3143, 10930, 941, 7980, 267, 811, 19038, 547, 5884, 689, 2068, 543, 27781, 982, 6370, 269, 966, 793, 22863, 540, 16897, 689, 519, 5736, 779, 544, 6130, 560, 668, 338, 267, 6264, 569, 11331, 519, 774, 8812, 13012, 685, 2782, 610, 519, 10656, 4860, 27117, 267, 32736, 538, 6742, 1149, 685, 2126, 267, 799, 13290, 547, 6318, 5683, 2055, 827, 31858, 24252, 540, 2112, 269, 5494, 870, 532, 2379, 806, 685, 1175, 5874, 585, 2112, 267, 799, 2097, 2066, 607, 18211, 7095, 32531, 663, 720, 538, 1010, 1257, 267, 6742, 1149, 5036, 11735, 6671, 4108, 1686, 540, 11044, 543, 3401, 547, 1397, 519, 1688, 540, 9370, 593, 519, 27998, 543, 27142, 621, 20109, 269, 898, 1071, 518, 1027, 873, 883, 20679, 267, 855, 9370, 685, 10424, 13384, 832, 8959, 547, 11904, 16219, 2628, 543, 7727, 269, 1677, 4009, 6589, 267, 741, 1252, 1023, 3079, 1577, 7980, 10788, 720, 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 ]
[ 0, 1692, 547, 2328, 538, 476, 272, 560, 476, 273, 526, 543, 476, 274, 6113, 1268, 454, 2005, 781, 2808, 1447, 6662, 982, 3791, 1268, 267, 799, 649, 3513, 1865, 2663, 269, 3973, 594, 3580, 581, 9237, 281, 930, 1004, 723, 7411, 31935, 519, 15669, 540, 513, 3791, 1268, 3209, 607, 1557, 3028, 2359, 606, 15865, 267, 5601, 3697, 269, 476, 273, 269, 875, 547, 2328, 538, 476, 272, 560, 476, 273, 526, 543, 476, 274, 6113, 1268, 1283, 12031, 12191, 11049, 7270, 2228, 2904, 476, 2641, 267, 476, 1220, 280, 5788, 634, 2694, 602, 5291, 2517, 4178, 21993, 531, 836, 18182, 332, 582, 601, 2593, 28898, 9706, 619, 24070, 268, 22967, 268, 9690, 17272, 757, 268, 5684, 343, 616, 538, 1101, 1268, 2636, 519, 5467, 547, 2731, 1205, 883, 519, 2247, 540, 667, 12447, 607, 646, 25395, 519, 9814, 540, 1010, 1655, 2828, 1007, 1286, 269, 901, 1826, 540, 1603, 7959, 2123, 547, 519, 5467, 269, 1879, 1603, 538, 519, 2034, 1268, 267, 2232, 519, 5467, 2047, 269, 3967, 476, 2190, 267, 476, 1708, 271, 5788, 3807, 875, 547, 3503, 538, 12059, 12287, 269, 1403, 596, 2811, 875, 547, 2328, 538, 476, 272, 560, 476, 273, 526, 543, 476, 274, 6113, 1268, 1869, 513, 2370, 11821, 827, 1018, 519, 3791, 1268, 1603, 5654, 899, 538, 5708, 267, 1353, 891, 5929, 1806, 543, 4983, 875, 1142, 2278, 20362, 1448, 540, 2070, 269, 2913, 707, 1603, 1397, 513, 3787, 540, 707, 7209, 543, 2141, 2328, 538, 519, 5639, 596, 3717, 269, 3689, 267, 5822, 543, 12059, 12287, 24935, 26505, 5403, 619, 1703, 616, 1079, 2081, 547, 2328, 519, 1482, 3364, 267, 835, 568, 11397, 630, 274, 6113, 264, 543, 835, 568, 2123, 630, 272, 560, 1040, 968, 13553, 1268, 1448, 6361, 268, 1613, 892, 5822, 1268, 1448, 269, 1879, 513, 1268, 11339, 606, 4757, 610, 4484, 267, 610, 11339, 513, 875, 3562, 1433, 267, 646, 2356, 3096, 513, 2034, 1268, 1448, 540, 2070, 3967, 476, 736, 267, 476, 1001, 272, 5788, 769, 21342, 2474, 267, 1101, 1268, 267, 2034, 1268, 267, 543, 3791, 1268, 3277, 547, 2123, 21770, 269, 8347, 547, 1265, 513, 4062, 25166, 1679, 519, 4062, 689, 519, 3791, 1268, 1448, 540, 2070, 269, 634, 3791, 1268, 15669, 568, 7363, 711, 513, 1915, 538, 519, 1650, 269, 26479, 281, 634, 2539, 3368, 540, 513, 1239, 1305, 568, 519, 1305, 540, 782, 2418, 602, 616, 547, 519, 2451, 540, 519, 11667, 1871, 950, 519, 1239, 814, 1044, 2322, 883, 2810, 1931, 5919, 634, 5580, 3368, 540, 513, 1239, 1305, 568, 519, 1305, 540, 782, 2418, 602, 616, 547, 519, 1318, 540, 519, 11667, 1871, 950, 519, 1239, 814, 1044, 2322, 883, 2810, 1931, 5919, 634, 1101, 14415, 850, 267, 20922, 676, 1627, 476, 272, 267, 568, 519, 11667, 540, 563, 763, 29043, 5013, 616, 602, 1082, 6280, 3498, 3594, 5749, 1406, 2731, 1390, 269, 23883, 952, 596, 2328, 538, 519, 1459, 13029, 267, 2034, 1268, 2636, 519, 5467, 547, 1995, 519, 1650, 607, 952, 621, 779, 741, 1378, 269, 6875, 707, 942, 269, 5675, 689, 519, 1101, 16512, 1448, 540, 2070, 630, 594, 267, 649, 16532, 950, 2556, 543, 2067, 267, 568, 7608, 543, 269, 1284, 1175, 1039, 1412, 628, 262, 547, 7141, 2338, 281, 476, 1691, 628, 815, 2185, 18818, 630, 27917, 10117, 1341, 555, 1040, 3967, 476, 6187, 267, 476, 1001, 271, 5788, 1403, 596, 616, 1603, 513, 1957, 4758, 513, 2239, 540, 1018, 596, 616, 3257, 596, 1131, 2328, 621, 538, 519, 476, 272, 560, 1268, 269, 2701, 29167, 12853, 1766, 553, 1169, 12784, 2913, 779, 849, 1491, 513, 2656, 1413, 693, 476, 273, 526, 1268, 269, 634, 1034, 4122, 1031, 2034, 1268, 15749, 568, 596, 267, 875, 547, 2328, 538, 476, 272, 560, 476, 273, 526, 543, 476, 274, 6113, 1268, 1498, 707, 543, 16523, 849, 2034, 1268, 21770, 269, 1717, 267, 1317, 1101, 543, 2034, 1268, 616, 519, 9739, 1031, 1282, 4948, 1272, 267, 621, 568, 2653, 547, 946, 873, 1247, 1603, 269, 634, 29043, 5013, 616, 602, 1082, 6280, 3498, 3594, 5749, 1406, 2731, 1390, 269, 17776, 547, 1022, 6825, 1913, 3967, 476, 2537, 267, 476, 1001, 279, 5788, 2913, 779, 2911, 827, 1603, 538, 3791, 1268, 585, 513, 8792, 267, 607, 513, 1797, 540, 23243, 2034, 689, 3791, 1268, 2239, 269, 1323, 5140, 2852, 2376, 1281, 711, 991, 547, 581, 17890, 269, 1323, 5140, 2852, 2376, 1281, 711, 991, 547, 581, 17890, 269, 901, 1826, 540, 6679, 267, 1141, 519, 16502, 11498, 513, 7874, 1688, 547, 519, 5467, 267, 666, 581, 1360, 2500, 4119, 476, 4905, 267, 2688, 2079, 1557, 6169, 15105, 3028, 575, 321, 476, 1001, 276, 5788, 3117, 540, 1101, 1268, 898, 666, 3280, 30107, 995, 898, 779, 16148, 865, 621, 2306, 3388, 596, 2161, 3280, 16148, 630, 328, 4318, 269, 4460, 891, 1913, 609, 513, 1164, 331, 7660, 610, 4050, 269, 7117, 272, 2328, 513, 4063, 593, 1184, 15657, 2203, 1635, 2469, 883, 519, 3791, 1268, 538, 519, 2034, 851, 267, 519, 5467, 568, 4847, 547, 1246, 519, 1650, 543, 1224, 540, 2621, 602, 667, 12447, 1223, 711, 723, 7654, 1634, 827, 18564, 602, 519, 476, 272, 560, 543, 476, 273, 526, 1268, 21770, 616, 519, 1482, 607, 519, 1463, 1843, 875, 547, 2328, 538, 476, 272, 560, 476, 273, 526, 543, 476, 274, 6113, 1268, 21770, 543, 602, 519, 476, 274, 6113, 1268, 21770, 267, 834, 548, 257, 543, 4179, 2517, 4178, 7456, 714, 23145, 7219, 2593, 270, 15635, 1538, 528, 1242, 11486, 652, 2000, 3438, 1155, 21623, 268, 724, 739, 32392, 1606, 2572, 3766, 321, 834, 956, 257, 798, 711, 5815, 1022, 4008, 269, 2991, 782, 267, 596, 2811, 1603, 513, 26612, 1879, 1101, 1268, 568, 1031, 538, 4081, 1603, 267, 899, 1382, 4574, 11783, 769, 3791, 16512, 1603, 267, 1004, 543, 3197, 616, 5219, 547, 607, 834, 515, 2437, 834, 9917, 2437, 834, 527, 2437, 543, 834, 16269, 21968, 834, 296, 257, 543, 834, 933, 257, 616, 2760, 1031, 630, 684, 1652, 267, 540, 1576, 267, 538, 513, 1463, 10839, 1040, 8191, 281, 634, 5353, 1695, 16017, 19061, 14358, 281, 476, 2764, 298, 3689, 5288, 563, 23612, 1268, 623, 10976, 568, 1031, 950, 707, 15669, 568, 711, 513, 1915, 538, 519, 1650, 269, 1717, 267, 713, 2511, 3884, 1406, 3617, 585, 824, 267, 811, 6101, 11783, 769, 3791, 1268, 1603, 267, 519, 15669, 568, 711, 513, 1915, 538, 519, 1257, 269, 1677, 2697, 799, 835, 568, 1031, 267, 596, 723, 547, 1265, 519, 21770, 538, 519, 4845, 269, 769, 4081, 1603, 267, 519, 3791, 1268, 1448, 875, 547, 2328, 538, 476, 272, 560, 476, 273, 526, 543, 476, 274, 6113, 1268, 540, 2070, 568, 2356, 20501, 543, 2636, 513, 5856, 547, 2097, 2066, 607, 811, 23674, 269, 1411, 991, 547, 6430, 799, 1448, 540, 2070, 596, 3580, 946, 547, 2995, 707, 1650, 1703, 616, 1079, 2081, 547, 2328, 519, 1482, 3364, 267, 835, 568, 11397, 630, 274, 6113, 264, 543, 835, 568, 2123, 630, 272, 560, 1040, 834, 763, 9660, 616, 9553, 257, 568, 1101, 1268, 269, 901, 5133, 568, 519, 5856, 779, 1448, 540, 2070, 267, 543, 519, 5856, 3587, 519, 17122, 1448, 476, 272, 560, 543, 476, 273, 526, 27946, 2207, 281, 941, 2854, 676, 1160, 1529, 639, 623, 529, 334, 1063, 476, 8099, 268, 12893, 9460, 269, 12896, 3901, 673, 12287, 476, 272, 560, 1268, 281, 594, 267, 649, 269, 898, 568, 1271, 547, 1589, 827, 799, 968, 17367, 892, 2306, 519, 1034, 2631, 585, 513, 2016, 7084, 269, 769, 519, 1101, 1268, 1448, 6361, 268, 1613, 267, 596, 2356, 2328, 707, 1957, 689, 707, 1378, 1995, 610, 5133, 269, 1717, 267, 519, 5728, 547, 1390, 22008, 1603, 568, 9427, 519, 946, 540, 21770, 7357, 282, 596, 1810, 1405, 991, 547, 946, 1412, 296, 3299, 1412, 515, 262, 610, 1412, 9917, 262, 1317, 922, 946, 568, 22466, 269, 3767, 972, 616, 1079, 2081, 547, 798, 713, 281, 972, 779, 519, 1259, 1141, 596, 3280, 899, 513, 20868, 269, 9282, 29233, 543, 2776, 9080, 823, 616, 1360, 1454, 10906, 26999, 564, 781, 1650, 267, 519, 15669, 568, 711, 10906, 269, 6423, 3296, 476, 274, 269, 1240, 540, 519, 22910, 15015, 540, 519, 1977, 16723, 5948, 585, 811, 1344, 14905, 12134, 5830, 547, 946, 3742, 5639, 2864, 982, 12809, 5639, 269, 769, 513, 2034, 1268, 1448, 540, 2070, 1603, 610, 9423, 267, 519, 21770, 6140, 1031, 616, 968, 2791, 5608, 968, 7312, 892, 543, 968, 312, 2293, 1848, 1411, 666, 946, 1022, 540, 891, 476, 274, 21770, 865, 602, 596, 666, 2232, 519, 5304, 476, 272, 269, 594, 5206, 281, 834, 2171, 666, 9959, 689, 519, 1239, 602, 713, 568, 711, 2067, 7180, 1701, 269, 808, 28087, 514, 267, 538, 799, 2034, 16512, 568, 1031, 547, 1747, 3845, 1063, 519, 16502, 543, 741, 2833, 267, 10452, 269, 5675, 538, 1101, 1268, 1496, 1153, 1513, 1222, 1557, 1797, 1210, 2123, 21770, 538, 707, 1603, 630, 324, 3052, 269, 1403, 519, 8231, 7475, 538, 9399, 267, 2473, 267, 8863, 267, 15562, 610, 519, 4484, 744, 267, 649, 1039, 1341, 11536, 538, 519, 3791, 1268, 563, 2710, 532, 1945, 585, 1100, 824, 2601, 982, 547, 23666, 568, 519, 21055, 4214, 540, 5910, 3290, 269, 2755, 713, 568, 15502, 950, 1603, 513, 2123, 4484, 267, 621, 568, 711, 15502, 538, 6101, 1603, 267, 2523, 3594, 610, 1382, 4574, 476, 272, 560, 815, 1101, 476, 273, 526, 815, 2034, 476, 274, 6113, 815, 3791, 476, 275, 628, 815, 8772, 476, 276, 628, 815, 325, 604, 628, 269, 6270, 607, 834, 296, 723, 3144, 593, 519, 1909, 540, 22639, 585, 27684, 677, 1676, 14339, 5549, 269, 808, 11070, 292, 281, 729, 2854, 676, 25840, 595, 269, 7994, 513, 3226, 8903, 610, 16609, 6429, 689, 513, 4062, 540, 18340, 596, 723, 5063, 2854, 538, 519, 1101, 1268, 269, 3689, 1268, 281, 834, 296, 1589, 17283, 568, 1360, 967, 1815, 529, 633, 4924, 476, 2767, 267, 476, 1001, 278, 5788, 1879, 596, 3643, 513, 3896, 267, 596, 616, 540, 1576, 28507, 676, 519, 3135, 3294, 267, 855, 596, 616, 849, 28507, 676, 3791, 18407, 3950, 619, 602, 519, 3135, 2377, 2644, 538, 922, 3009, 269, 5822, 1268, 27605, 519, 5467, 883, 519, 2962, 269, 12344, 789, 2461, 10213, 513, 1650, 689, 741, 2250, 267, 610, 6148, 789, 2461, 4758, 596, 741, 6644, 269, 5675, 538, 875, 547, 2328, 538, 476, 272, 560, 476, 273, 526, 543, 476, 274, 6113, 1268, 2034, 1268, 281, 769, 1875, 27395, 1603, 267, 513, 10584, 786, 1419, 6467, 1063, 21770, 269, 14358, 281, 476, 6246, 298, 1496, 14457, 316, 20593, 1154, 689, 3689, 543, 5822, 547, 12059, 12287, 4179, 2517, 4178, 274, 6155, 25975, 12975, 270, 17703, 322, 7933, 665, 3701, 270, 3519, 31844, 5575, 4107, 1603, 10467, 693, 519, 2852, 1377, 1058, 581, 2854, 538, 3791, 1268, 8259, 6382, 9138, 676, 519, 7548, 269, 1411, 666, 1205, 602, 676, 2542, 519, 3105, 2376, 593, 12059, 12287, 21931, 7869, 269, 12059, 12287, 1923, 12891, 5112, 5675, 4741, 4179, 2517, 8586, 22487, 269, 1662, 5112, 12975, 11721, 1009, 8686, 338, 21017, 16512, 14288, 4574, 630, 2750, 6570, 267, 6431, 340, 5235, 267, 543, 3194, 14430, 264, 1058, 3622, 581, 2854, 538, 3791, 1268, 267, 543, 946, 23674, 4081, 2959, 547, 1489, 707, 4661, 2864, 982, 17548, 707, 1378, 2123, 4978, 269, 476, 272, 269, 834, 763, 9660, 616, 741, 338, 2437, 585, 1383, 267, 568, 2854, 538, 519, 3791, 1268, 269, 12059, 1268, 623, 10976, 568, 1031, 950, 707, 15669, 568, 711, 513, 1915, 538, 519, 1650, 269, 0, 1692, 14055, 666, 948, 585, 645, 2720, 4345, 454, 20091, 5384, 476, 272, 269, 276, 12664, 268, 273, 268, 276, 12664, 630, 24523, 693, 519, 5377, 994, 4131, 779, 1413, 693, 875, 14055, 666, 948, 585, 645, 2720, 4345, 563, 289, 2720, 4345, 568, 513, 11213, 2783, 538, 799, 519, 11435, 267, 610, 5485, 338, 4904, 609, 5714, 1472, 519, 10549, 2220, 749, 269, 645, 4711, 616, 1271, 585, 1697, 4745, 1599, 267, 607, 789, 948, 873, 1847, 20354, 1247, 31289, 532, 28844, 267, 7633, 543, 28587, 607, 789, 1847, 269, 645, 2720, 4345, 666, 979, 2476, 593, 922, 1378, 267, 855, 513, 536, 2720, 4345, 4323, 666, 2014, 1928, 267, 11926, 267, 4389, 2039, 540, 5163, 267, 543, 10688, 2042, 563, 289, 2720, 4345, 568, 2356, 519, 1267, 540, 7050, 946, 540, 513, 4745, 267, 855, 621, 666, 849, 581, 3361, 676, 8194, 563, 289, 2720, 4345, 568 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 518, 912, 20877, 586, 815, 476, 273, 343, 266, 272, 543, 586, 815, 476, 11025, 343, 266, 272, 593, 707, 24275, 9498, 269, 28652, 538, 543, 1265, 519, 1448, 454, 1993, 10167, 269, 16294, 1448, 540, 10167, 780, 11405, 912, 288, 1448, 540, 10167, 568, 606, 10288, 6292, 602, 568, 513, 3070, 585, 1312, 4834, 780, 12244, 1384, 27949, 371, 567, 16294, 12825, 3830, 607, 1022, 3830, 538, 799, 513, 4756, 5526, 538, 519, 20800, 454, 663, 723, 1053, 1865, 513, 1505, 585, 6061, 519, 13852, 2590, 518, 2555, 21154, 563, 15744, 502, 4841, 723, 513, 2352, 942, 1620, 602, 513, 1448, 540, 10167, 568, 513, 3838, 1535, 454, 663, 586, 24033, 511, 7407, 282, 4061, 267, 547, 4194, 585, 513, 1448, 540, 10167, 2555, 21154, 267, 519, 1053, 454, 29019, 4194, 519, 1305, 540, 4834, 8195, 267, 2495, 1305, 586, 815, 476, 273, 343, 266, 272, 543, 586, 815, 476, 11025, 343, 266, 272, 454, 16029, 547, 1142, 824, 267, 476, 273, 343, 266, 272, 815, 476, 11025, 343, 266, 272, 543, 4194, 585, 1535, 563, 15744, 502, 1358, 1058, 1020, 519, 3959, 267, 26089, 3478, 519, 1482, 3490, 543, 4259, 519, 454, 10339, 7859, 3160, 547, 1142, 824, 563, 11405, 912, 273, 343, 266, 272, 815, 476, 11025, 343, 266, 272, 454, 273, 343, 266, 272, 815, 630, 2537, 264, 273, 343, 266, 272, 454, 273, 343, 266, 272, 815, 476, 2918, 343, 266, 274, 454, 273, 454, 22933, 506, 1535, 1341, 476, 272, 815, 476, 277, 343, 1341, 476, 274, 17986, 508, 1535, 23880, 12865, 511, 454, 276, 692, 27949, 371, 567, 2422, 519, 3959, 1657, 547, 4194, 519, 1739, 4834, 269, 476, 274, 343, 266, 273, 815, 476, 10844, 343, 454, 263, 272, 264, 476, 274, 1700, 343, 815, 476, 10037, 692, 31580, 4083, 27949, 363, 16215, 476, 277, 27949, 363, 22091, 11228, 543, 8298, 15162, 6193, 12793, 14030, 476, 476, 14530, 454, 299, 537, 529, 10005, 18043, 15099, 267, 4860, 2213, 476, 1220, 279, 692, 343, 31609, 272, 1038, 1535, 454, 15744, 355, 476, 274, 15744, 370, 567, 17986, 355, 476, 2767, 17986, 370, 454, 263, 273, 264, 567, 17986, 356, 17986, 371, 23880, 15744, 356, 17986, 371, 454, 15744, 357, 273, 15744, 372, 825, 17986, 357, 476, 279, 17986, 372, 454, 263, 274, 264, 567, 476, 279, 343, 815, 476, 275, 454, 343, 454, 15744, 355, 476, 272, 17986, 370, 454, 263, 275, 264, 567, 17986, 356, 17986, 371, 23880, 476, 10037, 454, 15744, 357, 476, 2767, 17986, 372, 454, 273, 14030, 476, 273, 2018, 476, 275, 454, 22069, 1903, 281, 630, 272, 264, 1535, 23880, 476, 2073, 630, 273, 264, 1535, 815, 1107, 275, 267, 630, 274, 264, 1535, 815, 476, 16006, 267, 630, 275, 264, 1535, 23880, 2073, 630, 276, 264, 1535, 23880, 12865, 511, 454, 274, 14030, 476, 274, 2018, 476, 274, 454, 27949, 371, 567, 25849, 1039, 339, 1308, 2042, 689, 519, 2979, 1837, 780, 27949, 371, 567, 11879, 15154, 5675, 10495, 281, 630, 8450, 11314, 4149, 24594, 8178, 906, 693, 1439, 540, 1770, 24355, 12244, 476, 277, 281, 769, 2091, 12793, 543, 8298, 15162, 6193, 12793, 630, 294, 4041, 338, 281, 6103, 476, 280, 281, 476, 275, 267, 476, 3374, 267, 476, 3607, 3248, 22706, 476, 1556, 270, 1321, 281, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 279, 267, 476, 1839, 267, 476, 2767, 2020, 29605, 5903, 281, 1957, 267, 15513, 267, 3113, 1957, 267, 24275, 9498, 692, 1103, 713, 2534, 267, 1053, 786, 2689, 519, 1523, 540, 11201, 3252, 538, 1931, 547, 1020, 519, 454, 8421, 15162, 6193, 1599, 799, 568, 519, 11201, 540, 606, 12825, 1599, 780, 13043, 8298, 13852, 2590, 518, 912, 273, 454, 263, 272, 264, 4855, 519, 6389, 543, 2039, 540, 535, 630, 1535, 264, 23880, 454, 343, 31609, 272, 454, 273, 454, 263, 273, 264, 4855, 519, 11201, 535, 1700, 272, 3287, 264, 540, 535, 630, 1535, 264, 23880, 25639, 543, 1533, 922, 6389, 543, 2039, 563, 343, 31609, 272, 454, 263, 274, 264, 9181, 1018, 596, 3314, 827, 11201, 3252, 563, 22069, 1903, 912, 263, 272, 264, 667, 281, 1535, 9881, 510, 12865, 511, 272, 267, 681, 281, 586, 9881, 510, 476, 271, 454, 273, 24033, 511, 1535, 454, 263, 273, 264, 535, 12865, 511, 272, 12865, 357, 1535, 12865, 358, 23880, 1363, 667, 281, 1535, 9881, 510, 476, 271, 267, 681, 281, 586, 9881, 510, 12865, 511, 272, 454, 343, 454, 263, 274, 264, 634, 1053, 1058, 5352, 891, 6898, 912, 334, 9502, 281, 535, 24033, 511, 272, 3287, 264, 568, 606, 11201, 1599, 540, 535, 3287, 264, 952, 543, 1152, 952, 454, 325, 12865, 357, 535, 12865, 511, 272, 12865, 357, 1535, 12865, 358, 12865, 358, 23880, 535, 12865, 511, 272, 12865, 357, 535, 12865, 357, 1535, 12865, 358, 12865, 358, 23880, 1535, 4586, 334, 1411, 1265, 519, 11201, 540, 513, 1599, 676, 2220, 6260, 519, 1535, 543, 586, 543, 6061, 454, 1721, 586, 563, 334, 634, 11708, 540, 513, 1599, 543, 922, 11201, 616, 21136, 936, 519, 1899, 454, 344, 815, 1535, 563, 334, 1411, 23396, 519, 11890, 543, 9832, 563, 334, 769, 782, 10288, 8424, 267, 519, 2612, 322, 20811, 543, 3921, 3729, 616, 2220, 11474, 563, 334, 1403, 606, 11201, 6935, 568, 2469, 547, 581, 606, 11201, 1599, 267, 1287, 519, 454, 13092, 1599, 1590, 723, 513, 835, 24033, 511, 1729, 24033, 511, 821, 19359, 780, 31580, 4083, 27949, 363, 16215, 476, 277, 27949, 363, 22091, 11228, 543, 8298, 15162, 6193, 12793, 4449, 13376, 476, 15171, 454, 299, 537, 529, 10005, 18043, 15099, 267, 4860, 2213, 476, 1220, 279, 692, 334, 1411, 666, 2995, 952, 606, 11201, 6935, 568, 2469, 547, 581, 606, 11201, 1599, 454, 5228, 519, 3113, 952, 519, 3312, 1599, 10596, 1312, 519, 7299, 543, 454, 1817, 714, 7267, 1899, 1449, 780, 12244, 1384, 27949, 371, 567, 5623, 519, 2035, 540, 606, 11201, 1599, 689, 5149, 476, 272, 267, 11314, 476, 1321, 267, 543, 723, 519, 454, 29324, 2259, 4466, 606, 11201, 1599, 593, 519, 1739, 1966, 912, 263, 272, 264, 8890, 21154, 1265, 519, 11201, 540, 535, 3287, 264, 815, 1535, 273, 1341, 476, 274, 593, 519, 11658, 6389, 1535, 3436, 476, 271, 454, 24033, 357, 1038, 12865, 358, 454, 263, 273, 264, 28171, 789, 616, 538, 951, 525, 1210, 519, 4214, 535, 535, 12865, 511, 272, 12865, 357, 1535, 12865, 358, 23880, 535, 12865, 511, 272, 12865, 357, 535, 12865, 357, 1535, 12865, 358, 12865, 358, 23880, 1535, 454, 24033, 511, 272, 454, 263, 274, 264, 1548, 568, 519, 6389, 543, 2039, 540, 535, 3287, 264, 543, 535, 630, 343, 25145, 263, 275, 264, 8641, 1312, 676, 1688, 593, 519, 1482, 3113, 21458, 1535, 24033, 511, 543, 586, 24033, 511, 5793, 32383, 563, 263, 276, 264, 8641, 519, 1899, 586, 815, 1535, 593, 519, 1482, 3113, 543, 12398, 835, 6292, 540, 2798, 602, 616, 454, 22131, 13240, 2066, 519, 1899, 586, 815, 1535, 563, 263, 277, 264, 4208, 568, 519, 6389, 540, 535, 3287, 264, 11658, 2496, 11405, 912, 263, 272, 264, 535, 12865, 511, 272, 12865, 357, 1535, 12865, 358, 23880, 1535, 12865, 511, 476, 274, 692, 24033, 357, 16875, 12865, 358, 4449, 23526, 12865, 357, 4449, 8587, 12865, 358, 454, 273, 454, 263, 273, 264, 11434, 1535, 12865, 511, 274, 19930, 31609, 476, 274, 23880, 1535, 273, 31609, 476, 274, 12865, 511, 476, 274, 23880, 1535, 1038, 1535, 273, 23880, 1535, 952, 1535, 25104, 367, 476, 271, 454, 263, 274, 264, 535, 3287, 2567, 6389, 1535, 3436, 476, 271, 267, 2039, 586, 3436, 476, 274, 267, 535, 24033, 511, 272, 3287, 2567, 6389, 1535, 3436, 476, 274, 267, 2039, 586, 3436, 476, 271, 692, 263, 275, 264, 23351, 586, 24033, 511, 18448, 540, 535, 3287, 264, 568, 630, 271, 267, 476, 274, 1070, 1535, 24033, 511, 5793, 1061, 540, 535, 24033, 511, 272, 3287, 264, 568, 630, 274, 267, 476, 271, 2020, 263, 276, 264, 4449, 567, 18103, 1229, 8424, 949, 4268, 563, 24033, 511, 272, 454, 325, 263, 273, 264, 815, 476, 278, 267, 535, 630, 278, 264, 815, 476, 273, 454, 263, 277, 264, 535, 3287, 264, 1131, 711, 723, 513, 835, 24033, 511, 1729, 24033, 511, 821, 454, 14585, 22046, 775, 543, 519, 11201, 1131, 711, 454, 2041, 513, 1599, 780, 27949, 371, 567, 12315, 519, 1053, 3113, 1957, 543, 723, 873, 3605, 519, 454, 514, 2091, 540, 519, 12825, 1599, 538, 519, 1739, 6073, 912, 15744, 502, 8641, 535, 3287, 264, 815, 476, 273, 343, 12297, 1154, 519, 8880, 29297, 1774, 676, 1688, 454, 663, 6003, 519, 10288, 8424, 693, 1535, 815, 12865, 511, 273, 267, 12865, 511, 272, 267, 476, 271, 267, 476, 272, 267, 476, 273, 267, 476, 274, 780, 31580, 4083, 27949, 363, 16215, 476, 277, 27949, 363, 22091, 11228, 543, 8298, 15162, 6193, 12793, 14030, 25639, 476, 15836, 454, 299, 537, 529, 10005, 18043, 15099, 267, 4860, 2213, 476, 1220, 279, 692, 15744, 502, 454, 15744, 502, 1772, 713, 1599, 513, 835, 24033, 511, 1729, 24033, 511, 821, 19359, 888, 263, 11405, 281, 9811, 267, 4061, 606, 11201, 1599, 1590, 2291, 2020, 15744, 502, 8641, 586, 815, 1535, 593, 519, 1482, 3113, 543, 2721, 519, 11201, 454, 10818, 676, 28321, 10288, 8424, 593, 519, 11201, 543, 454, 25346, 1154, 519, 7299, 29297, 1774, 269, 9181, 519, 3113, 540, 519, 454, 514, 2091, 1107, 6389, 267, 2039, 267, 2810, 543, 13302, 2676, 5793, 32383, 267, 543, 29297, 1774, 780, 15744, 502, 2201, 519, 9498, 3113, 586, 272, 815, 476, 273, 343, 543, 586, 273, 815, 1535, 269, 2422, 519, 454, 20412, 1807, 1599, 267, 2098, 302, 6865, 267, 476, 276, 281, 313, 306, 13645, 269, 8571, 519, 3113, 540, 454, 1492, 11201, 593, 24275, 9498, 630, 476, 273, 526, 2073, 1496, 291, 6938, 310, 3910, 630, 629, 913, 454, 11266, 14875, 16532, 476, 279, 281, 8571, 1103, 341, 267, 966, 12678, 2073, 962, 24033, 511, 309, 12678, 267, 476, 272, 281, 31262, 267, 476, 272, 281, 312, 272, 6393, 27949, 371, 567, 5620, 1053, 2119, 547, 1265, 519, 11201, 540, 586, 815, 476, 273, 343, 2555, 21154, 676, 454, 1873, 6260, 1535, 543, 586, 543, 12394, 547, 20586, 586, 563, 15744, 502, 2422, 713, 4901, 547, 5581, 30233, 543, 922, 2078, 454, 1729, 23055, 281, 2845, 9346, 815, 524, 952, 543, 1152, 952, 27652, 815, 513, 454, 15744, 502, 2422, 519, 4214, 547, 27682, 2845, 2764, 815, 476, 274, 607, 606, 12825, 3830, 269, 630, 11405, 281, 476, 2537, 815, 476, 279, 994, 15744, 502, 4855, 2845, 30589, 676, 3206, 28354, 281, 968, 276, 6659, 547, 1018, 1379, 815, 476, 1839, 18313, 263, 11405, 281, 476, 7367, 815, 476, 1839, 4061, 2845, 30589, 815, 476, 273, 994, 15744, 502, 16294, 1455, 30233, 607, 30233, 609, 3490, 476, 1015, 538, 799, 519, 3490, 568, 6956, 912, 325, 3287, 264, 815, 2845, 1535, 269, 634, 9498, 1152, 9060, 2845, 3490, 476, 1015, 269, 2201, 519, 9498, 267, 723, 519, 454, 29324, 2098, 302, 6865, 12384, 543, 3113, 586, 272, 815, 476, 1015, 343, 267, 586, 273, 815, 2845, 1535, 267, 586, 274, 815, 1535, 547, 1294, 602, 586, 272, 543, 586, 273, 616, 454, 22131, 13240, 2066, 519, 1899, 586, 815, 1535, 780, 15744, 502, 5620, 519, 1053, 1265, 2845, 476, 1911, 1510, 513, 9498, 630, 11405, 281, 2845, 476, 1911, 815, 476, 273, 1317, 454, 9083, 815, 476, 1911, 264, 543, 946, 519, 4214, 540, 30233, 547, 6218, 519, 1739, 32568, 454, 10339, 11306, 269, 5620, 1053, 2328, 968, 20357, 892, 543, 519, 12825, 6697, 1310, 1142, 454, 2889, 12378, 912, 263, 272, 264, 2845, 24423, 276, 454, 263, 273, 264, 2845, 476, 271, 269, 9826, 454, 263, 274, 264, 2845, 476, 272, 476, 1626, 454, 275, 454, 263, 276, 264, 2845, 4343, 272, 454, 263, 277, 264, 2845, 476, 274, 476, 24374, 454, 22069, 1903, 912, 263, 272, 264, 2845, 24423, 276, 815, 476, 274, 1317, 476, 7871, 815, 10219, 454, 263, 273, 264, 2845, 1547, 9826, 815, 12865, 511, 274, 1317, 476, 1015, 24033, 511, 274, 815, 1547, 9826, 692, 31580, 4083, 27949, 363, 16215, 476, 277, 27949, 363, 22091, 11228, 543, 8298, 15162, 6193, 12793, 4449, 23526, 476, 16328, 454, 299, 537, 529, 10005, 18043, 15099, 267, 4860, 2213, 476, 1220, 279, 692, 24033, 511, 273, 454, 15744, 355, 272, 15744, 370, 454, 263, 274, 264, 2845, 476, 272, 476, 1626, 23880, 12865, 511, 273, 1317 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 336, 2676, 334, 9364, 320, 268, 265, 262, 535, 28260, 339, 10623, 262, 535, 515, 317, 267, 256, 512, 865, 2433, 552, 0, 763, 12285, 7952, 540, 24918, 286, 17954, 1136, 5240, 454, 763, 5892, 7164, 1650, 540, 606, 7952, 540, 5159, 945, 5280, 3013, 3094, 2622, 2782, 5565, 568, 1373, 5143, 538, 513, 1007, 17245, 267, 6029, 875, 519, 5159, 1031, 741, 15421, 547, 834, 1584, 835, 936, 257, 593, 519, 21647, 563, 292, 26663, 32732, 4458, 2025, 10793, 631, 848, 344, 781, 7952, 2816, 1282, 2622, 2782, 4083, 729, 547, 9514, 1919, 909, 269, 1809, 711, 519, 1259, 835, 1522, 1589, 563, 19285, 729, 538, 519, 12285, 7952, 607, 594, 1572, 621, 269, 634, 4870, 23534, 7952, 2437, 1767, 10793, 631, 848, 344, 563, 1103, 476, 3707, 275, 267, 631, 848, 344, 729, 513, 476, 866, 4458, 6040, 14971, 7376, 945, 9364, 1175, 1044, 31751, 547, 4339, 519, 21647, 563, 763, 7952, 1185, 1175, 519, 2816, 585, 1864, 269, 631, 848, 344, 781, 1770, 1185, 513, 5692, 281, 547, 13587, 633, 519, 16586, 883, 3206, 20466, 4229, 941, 538, 835, 4087, 267, 1247, 1483, 772, 2529, 269, 10136, 4359, 5195, 2476, 563, 5445, 2968, 1634, 607, 834, 763, 26415, 8136, 2437, 513, 8536, 5159, 267, 9858, 543, 8301, 23390, 1210, 24738, 543, 4992, 547, 5918, 701, 519, 10546, 19601, 1260, 906, 13324, 676, 2598, 638, 338, 454, 268, 10830, 776, 22735, 779, 476, 274, 7521, 12644, 2451, 519, 11686, 5859, 538, 21219, 454, 268, 3767, 15212, 590, 904, 898, 4024, 6145, 569, 4414, 30472, 13609, 781, 5600, 267, 3502, 570, 792, 898, 13560, 454, 268, 2368, 561, 2393, 539, 16740, 12221, 2817, 7467, 13742, 759, 16577, 267, 12556, 540, 1866, 513, 9814, 9624, 2048, 628, 337, 1516, 3109, 2344, 4123, 20371, 268, 1772, 519, 19901, 11038, 10466, 13163, 13338, 888, 268, 15724, 281, 7085, 3317, 10118, 18418, 2299, 991, 547, 5642, 909, 593, 519, 1686, 540, 25399, 454, 268, 6496, 519, 1412, 293, 1430, 262, 540, 519, 476, 3707, 279, 23532, 7581, 753, 532, 21931, 26419, 21763, 547, 5589, 656, 3571, 9293, 888, 268, 7665, 645, 2393, 6499, 547, 917, 968, 6343, 519, 22946, 5949, 547, 1250, 17044, 9549, 24350, 268, 20271, 894, 12206, 1996, 11686, 1129, 513, 21936, 9963, 646, 9364, 581, 5906, 454, 268, 18148, 670, 269, 7054, 9109, 715, 3139, 29314, 295, 15445, 15503, 454, 268, 16024, 1014, 667, 10005, 681, 877, 344, 7137, 787, 9299, 2478, 4674, 547, 2132, 519, 15693, 540, 14844, 25306, 547, 1010, 1920, 0, 2421, 13100, 704, 17755, 578, 514, 267, 634, 11545, 2701, 788, 548, 912, 292, 1755, 11985, 267, 513, 808, 990, 1014, 7599, 519, 26931, 6611, 23571, 814, 5329, 606, 3750, 593, 2094, 476, 1001, 273, 267, 949, 723, 513, 7449, 16577, 5836, 593, 621, 3744, 1631, 3494, 269, 1280, 519, 2250, 2185, 1296, 267, 789, 723, 1044, 11287, 2520, 903, 619, 21074, 532, 856, 540, 16402, 11985, 779, 5045, 15393, 3006, 909, 547, 476, 6344, 5195, 883, 2230, 563, 3086, 8331, 568, 8066, 513, 2027, 10554, 538, 1769, 540, 968, 31162, 19828, 2963, 540, 2534, 892, 538, 14621, 547, 513, 1761, 7449, 16577, 5836, 593, 519, 7599, 799, 3744, 5462, 4505, 713, 1032, 814, 513, 2147, 3114, 5888, 547, 519, 12084, 593, 3047, 269, 3767, 602, 519, 2520, 903, 619, 616, 9846, 8345, 267, 8331, 4566, 547, 6108, 1269, 1911, 2929, 547, 10131, 513, 16785, 2250, 16402, 11985, 28069, 538, 519, 476, 1708, 271, 338, 547, 23754, 2436, 610, 711, 11517, 5439, 666, 581, 5833, 998, 513, 8038, 2421, 630, 337, 1430, 982, 519, 29882, 17656, 1184, 789, 2899, 5156, 1131, 581, 2556, 547, 23309, 16402, 11985, 779, 13792, 2627, 563, 2171, 1810, 1406, 1256, 917, 1018, 779, 2469, 593, 1524, 1934, 269, 5808, 6487, 1018, 779, 2731, 2469, 593, 856, 972, 563, 8923, 1246, 590, 28566, 7797, 593, 12108, 1299, 948, 2671, 519, 5048, 269, 0, 1993, 1523, 1646, 538, 2474, 540, 513, 15796, 540, 1620, 3989, 607, 1702, 267, 8223, 543, 3498, 269, 3267, 1323, 8097, 1895, 540, 476, 14056, 11359, 3446, 10453, 4718, 519, 8874, 543, 729, 7318, 1247, 513, 1852, 1895, 540, 476, 2004, 11359, 3446, 10453, 729, 3267, 11683, 4681, 941, 281, 476, 272, 264, 5262, 2159, 625, 538, 18570, 6659, 22027, 607, 547, 519, 7145, 540, 971, 11008, 1436, 269, 3267, 14496, 540, 519, 8760, 10325, 4843, 538, 519, 12525, 16860, 540, 12409, 20505, 267, 18361, 594, 281, 15465, 23792, 563, 347, 17138, 1475, 10573, 2304, 7634, 883, 519, 3347, 1063, 2035, 540, 3196, 25189, 543, 15657, 607, 8612, 676, 3446, 2157, 2008, 347, 12041, 1475, 10573, 1805, 534, 2917, 700, 269, 4477, 2471, 517, 347, 0, 299, 16336, 610, 1732, 1634, 607, 519, 2165, 924, 568, 835, 3063, 544, 752, 3570, 585, 5017, 669, 597, 4771, 269, 24538, 338, 602, 5526, 693, 21554, 568, 513, 1129, 602, 519, 24925, 4005, 814, 2097, 269, 14755, 6225, 547, 5017, 669, 597, 4771, 267, 29700, 666, 849, 581, 10057, 676, 3425, 269, 3509, 1004, 945, 946, 29700, 607, 519, 1292, 12146, 538, 1818, 513, 7202, 1315, 24113, 28221, 267, 1317, 621, 781, 849, 3833, 17705, 269, 4270, 596, 917, 1018, 29700, 2640, 585, 5017, 669, 597, 4771, 286, 2201, 713, 8317, 649, 786, 1865, 621, 585, 596, 547, 1224, 563, 299, 16336, 568, 519, 23009, 2670, 540, 513, 2165, 924, 9566, 538, 519, 3037, 269, 700, 16336, 568, 835, 1826, 540, 5521, 602, 2270, 2614, 3940, 267, 543, 1970, 538, 3170, 269, 901, 1576, 568, 5078, 2016, 547, 519, 5017, 669, 597, 4771, 707, 4620, 267, 865, 602, 519, 5017, 7850, 9422, 6981, 269, 5221, 789, 2408, 1152, 538, 519, 24925, 4005, 267, 621, 568, 711, 16613, 547, 1082, 1004, 946, 621, 269, 1306, 513, 26259, 267, 723, 596, 2938, 519, 1007, 29700, 856, 540, 519, 9566, 13351, 676, 930, 5017, 286, 1280, 1383, 1710, 2583, 267, 2220, 718, 3298, 267, 543, 865, 8521, 269, 898, 2982, 602, 789, 630, 18346, 264, 899, 29700, 607, 741, 1426, 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 ]
[ 0, 17445, 13334, 3095, 281, 4179, 2517, 344, 719, 340, 269, 2041, 22077, 326, 336, 322, 274, 309, 278, 320, 292, 21397, 454, 9223, 281, 4208, 1281, 1250, 1239, 723, 476, 2568, 670, 1068, 345, 630, 528, 476, 2004, 670, 1068, 345, 264, 19589, 543, 2800, 9582, 630, 8201, 476, 272, 25145, 8201, 476, 272, 281, 23893, 6482, 4087, 9715, 593, 1449, 1843, 693, 1079, 1114, 2053, 269, 634, 2699, 7455, 1185, 2666, 17787, 1459, 1247, 519, 4544, 7455, 1705, 711, 563, 12585, 281, 5556, 17894, 256, 1411, 1522, 723, 513, 968, 3033, 8520, 892, 2336, 763, 5201, 538, 513, 3774, 17752, 13333, 693, 476, 2568, 670, 1068, 345, 630, 514, 519, 2136, 2276, 264, 610, 476, 2004, 670, 1068, 345, 630, 514, 2342, 1040, 1403, 707, 6482, 1062, 543, 1098, 3027, 619, 616, 711, 5265, 9678, 689, 5122, 1379, 2959, 267, 891, 12451, 666, 8764, 622, 519, 6482, 1239, 563, 2690, 1383, 267, 5122, 12526, 666, 581, 3361, 676, 13590, 13779, 950, 513, 1379, 10814, 568, 18413, 2673, 547, 606, 5787, 10309, 10814, 269, 2107, 24638, 8279, 1522, 16578, 6850, 18878, 13779, 593, 14605, 9678, 12904, 563, 3719, 1776, 2014, 568, 1945, 1572, 513, 968, 3033, 8520, 6100, 769, 513, 2666, 8520, 267, 519, 6482, 1062, 543, 8596, 616, 16135, 693, 2789, 2798, 269, 5221, 972, 568, 811, 982, 835, 2666, 1448, 267, 5122, 18063, 666, 2095, 1063, 519, 1079, 12406, 543, 8764, 622, 519, 6482, 6786, 609, 5122, 6846, 563, 2304, 1383, 540, 513, 2666, 8520, 568, 3254, 538, 7612, 476, 273, 563, 8201, 476, 273, 281, 16140, 8520, 568, 3361, 1317, 972, 616, 1079, 10092, 547, 2666, 538, 6482, 1062, 563, 763, 6482, 543, 9300, 1062, 814, 1079, 10092, 547, 2666, 912, 763, 5787, 10309, 9300, 814, 1463, 4496, 547, 4496, 3346, 609, 519, 16135, 1449, 1843, 269, 901, 2636, 5201, 547, 2095, 547, 543, 689, 519, 2497, 2666, 563, 763, 14662, 4696, 3008, 4395, 754, 568, 726, 28289, 883, 2666, 540, 519, 5122, 1292, 338, 1379, 630, 773, 267, 519, 3774, 17752, 1916, 2414, 2057, 519, 2666, 8520, 267, 835, 540, 519, 10092, 1590, 581, 30890, 689, 2666, 269, 1703, 1058, 1152, 581, 835, 2619, 547, 2666, 585, 519, 3003, 1062, 563, 1432, 666, 581, 2944, 888, 2467, 616, 1079, 1919, 602, 666, 581, 2944, 630, 514, 1931, 540, 2956, 264, 547, 2057, 513, 2666, 8520, 912, 763, 1655, 3070, 568, 1118, 2386, 519, 8596, 616, 9678, 689, 519, 1449, 2497, 267, 865, 602, 972, 568, 1100, 7872, 540, 5122, 2095, 1063, 873, 269, 901, 666, 581, 2944, 676, 29780, 606, 10072, 14950, 1063, 519, 1449, 1843, 543, 5787, 10309, 607, 3254, 538, 7612, 476, 274, 563, 8201, 476, 274, 281, 634, 2666, 8520, 568, 7745, 676, 1210, 606, 10072, 14950, 547, 5094, 519, 5787, 10309, 543, 1449, 1843, 563, 7197, 5787, 10309, 9755, 849, 1118, 10072, 21181, 607, 3254, 538, 7612, 476, 275, 563, 8201, 476, 275, 281, 24665, 10309, 609, 10072, 14950, 630, 9008, 1070, 5787, 10309, 1510, 10072, 14950, 630, 321, 18847, 994, 1607, 5849, 972, 568, 1152, 835, 2619, 547, 2666, 585, 519, 2347, 6482, 1062, 563, 3674, 565, 730, 20970, 3590, 454, 2252, 1082, 8596, 941, 15841, 2047, 609, 4496, 547, 4496, 3346, 547, 519, 1449, 1843, 267, 621, 1522, 581, 942, 10438, 547, 3888, 10072, 21181, 563, 288, 2656, 1449, 547, 3313, 952, 513, 2666, 8520, 2783, 6818, 568, 547, 1491, 5413, 540, 519, 3710, 2987, 6007, 540, 519, 14662, 4696, 3008, 8800, 269, 634, 14662, 4696, 3008, 666, 581, 796, 680, 28289, 689, 519, 3774, 17752, 8276, 1622, 5201, 543, 2196, 593, 6007, 269, 901, 31028, 338, 519, 14662, 4696, 3008, 689, 2666, 607, 3254, 538, 7612, 476, 276, 563, 8201, 476, 276, 281, 1635, 796, 680, 19982, 519, 14662, 4696, 3008, 689, 519, 3774, 17752, 630, 19491, 3740, 1292, 338, 1070, 835, 2619, 547, 2666, 568, 6569, 689, 519, 6482, 1062, 563, 2691, 3257, 547, 267, 952, 519, 476, 2568, 670, 1068, 345, 630, 528, 476, 2004, 670, 1068, 345, 264, 5122, 6846, 4422, 2476, 267, 1287, 972, 568, 513, 2666, 8520, 3390, 269, 1403, 519, 6007, 5279, 568, 7850, 267, 519, 6482, 666, 1256, 581, 5340, 269, 19227, 267, 519, 8596, 991, 547, 581, 9678, 689, 519, 1449, 1843, 563, 2690, 811, 1344, 267, 1294, 519, 11310, 9137, 834, 1692, 7043, 2052, 3244, 22487, 14662, 4696, 3008, 14840, 593, 23996, 8119, 563, 288, 3787, 23349, 1505, 547, 2736, 519, 2619, 547, 2666, 585, 519, 14662, 4696, 3008, 1131, 581, 547, 20586, 610, 9004, 519, 27733, 11690, 630, 8201, 476, 277, 2187, 8201, 476, 277, 281, 26332, 3729, 27733, 11690, 563, 1607, 2636, 519, 14662, 4696, 3008, 1770, 547, 1869, 4309, 1379, 855, 23352, 519, 2619, 547, 2666, 269, 901, 1522, 581, 3730, 585, 8596, 602, 3112, 581, 9678, 689, 519, 1449, 1843, 563, 307, 709, 7632, 327, 17415, 513, 16140, 31230, 454, 9616, 602, 30076, 971, 513, 2666, 8520, 666, 581, 2352, 563, 2690, 1383, 267, 952, 1210, 13520, 779, 14589, 1570, 547, 4410, 519, 5787, 10309, 593, 519, 1449, 2497, 267, 4470, 593, 875, 17401, 519, 5787, 10309, 568, 20399, 267, 519, 13520, 779, 14589, 1522, 1683, 513, 1978, 4110, 540, 10072, 630, 2775, 2604, 1070, 610, 1100, 10072, 630, 335, 5962, 16119, 1040, 901, 666, 581, 7138, 1782, 607, 519, 5122, 6846, 666, 968, 2492, 543, 979, 892, 936, 519, 942, 8653, 540, 513, 1449, 563, 10214, 519, 1297, 540, 5787, 18852, 666, 581, 1883, 1107, 519, 811, 5787, 18852, 2047, 15841, 593, 519, 1449, 2497, 267, 519, 1732, 519, 27733, 543, 5122, 2095, 563, 28775, 2685, 267, 713, 2376, 3947, 930, 2949, 5583, 593, 875, 547, 5431, 713, 3390, 543, 23676, 2393, 621, 269, 0, 305, 12011, 1794, 267, 6508, 689, 519, 14655, 2262, 2048, 686, 344, 5953, 21681, 491, 13682, 333, 8730, 568, 513, 2165, 4122, 1031, 538, 4095, 8106, 2575, 269, 898, 4016, 547, 519, 2259, 610, 31667, 531, 540, 13047, 610, 15747, 2575, 269, 681, 12011, 1794, 568, 606, 7533, 851, 540, 519, 1565, 1184, 538, 8106, 2575, 543, 4249, 513, 2629, 1909, 538, 7393, 513, 22459, 779, 1983, 543, 1620, 540, 519, 1148, 1106, 563, 30547, 540, 681, 12011, 1794, 538, 19446, 454, 763, 2165, 2048, 686, 344, 1794, 685, 568, 849, 4122, 1031, 538, 19446, 267, 609, 519, 1482, 2495, 607, 922, 2296, 11218, 269, 769, 19446, 267, 621, 568, 2854, 607, 2048, 18892, 18028, 363, 14098, 506, 2633, 376, 685, 543, 14733, 607, 2048, 686, 344, 1794, 9957, 2755, 519, 2262, 24865, 689, 14655, 267, 621, 814, 1831, 4922, 1031, 538, 4095, 4654, 267, 1519, 19446, 543, 21460, 267, 1813, 547, 519, 2178, 3310, 540, 4095, 8106, 2575, 563, 763, 19043, 540, 681, 12011, 1794, 454, 305, 12011, 1794, 6585, 10373, 4644, 538, 4095, 8106, 2575, 269, 898, 4422, 3564, 6071, 2259, 7886, 543, 3587, 513, 6131, 9015, 547, 1020, 543, 13217, 7574, 1983, 269, 3414, 678, 12011, 1794, 267, 12372, 1445, 593, 1585, 3344, 971, 607, 5355, 741, 5639, 25244, 267, 3501, 532, 741, 12334, 267, 7393, 741, 2930, 5759, 267, 543, 3695, 519, 14960, 540, 1114, 986, 326, 553, 543, 7574, 15885, 563, 27735, 540, 8617, 681, 12011, 1794, 454, 19894, 678, 12011, 1794, 568, 1898, 585, 1022, 14971, 22459, 269, 898, 568, 998, 5812, 543, 5676, 1441, 2259, 602, 5159, 2744, 17117, 936, 741, 1148, 269, 681, 12011, 1794, 2337, 12372, 1832, 741, 9739, 610, 4730, 4480, 538, 1283, 1106, 267, 4180, 602, 789, 2226, 741, 7207, 543, 2087, 20406, 269, 898, 849, 11942, 9015, 267, 9639, 267, 543, 11428, 267, 799, 616, 21644, 2556, 585, 1022, 22459, 779, 2208, 563, 305, 12011, 1794, 267, 519, 2259, 540, 4095, 8106, 2575, 267, 6585, 513, 2027, 1747, 538, 519, 12271, 540, 12372, 543, 12439, 269, 898, 711, 1152, 2337, 5159, 2087, 741, 2930, 1983, 855, 849, 2620, 839, 741, 1620, 543, 7071, 540, 519, 14960, 540, 519, 1148, 1106, 269, 3414, 2834, 678, 12011, 1794, 267, 12372, 666, 24917, 741, 5759, 267, 13217, 741, 5639, 610, 4730, 4480, 267, 543, 11441, 585, 17284, 538, 741, 7574, 3460, 269, 1924, 267, 9784, 519, 9759, 540, 678, 12011, 1794, 267, 543, 1577, 621, 3391, 596, 547, 1831, 513, 5963, 12913, 22459, 269, 0, 288, 12550, 568, 513, 3957, 6256, 540, 1257, 269, 1358, 616, 3335, 3989, 609, 519, 26285, 2742, 281, 1422, 3698, 710, 912, 315, 3698, 710, 1250, 2173, 659, 549, 263, 12407, 2678, 281, 257, 9377, 5435, 1871, 8442, 901, 568, 519, 12550, 267, 543, 519, 9936, 568, 1269, 12407, 2678, 10608, 1422, 754, 454, 28843, 3240, 2173, 659, 549, 9563, 24177, 3240, 2173, 659, 549, 834, 763, 9936, 257, 9563, 454, 763, 6724, 602, 616, 9138, 538, 519, 12550, 1289, 616, 2655, 21114, 585, 2027, 1747, 6868, 1369, 519, 6256, 912, 259, 12407, 2678, 268, 4067, 259, 529, 8719, 609, 519, 1871, 540, 519, 3957, 9936, 454, 259, 263, 19702, 762, 268, 4067, 7751, 529, 8719, 609, 519, 1871, 540, 519, 3957, 4756, 1916, 1692, 5839, 4592, 4518, 454, 21547, 4592, 616, 8045, 607, 513, 2027, 2186, 540, 4756, 269, 634, 1152, 3364, 602, 30193, 873, 689, 8723, 4632, 568, 519, 1259, 602, 519, 6724, 616, 17411, 269, 0, 1103, 2487, 1296, 267, 15181, 23315, 814, 1831, 5051, 2442, 1813, 547, 922, 2702, 547, 10110, 1585, 6878, 269, 2290, 540, 519, 1034, 1713, 3096, 540, 15181, 23315, 568, 538, 2011, 22729, 269, 1809, 1018, 4010, 1281, 15181, 23315, 10110, 267, 543, 875, 1281, 621, 960, 286, 769, 713, 2376, 267, 649, 786, 2263, 519, 1888, 538, 3829, 543, 1683, 596, 609, 782, 519, 2556, 1344, 563, 1432, 568, 2920, 17300, 4077, 19254, 888, 8002, 17300, 23315, 568, 513, 1106, 540, 3327, 602, 814, 1044, 5701, 609, 5135, 547, 1711, 6634, 540, 6263, 22405, 1063, 519, 3327, 8444, 269, 1452, 22405, 2333, 519, 2627, 1858, 540, 519, 3327, 267, 1818, 621, 3810, 10110, 550, 269, 2920, 17300, 23315, 568, 4122, 1031, 538, 2011, 543, 1216, 22729, 267, 607, 1134, 607, 538, 4915, 543, 2960, 3249, 563, 1692, 6496, 2920, 17300, 4077, 19254, 12559, 12643, 13937, 888, 8002, 17300, 23315, 1568, 998, 513, 1184, 1572, 23455, 1632, 269, 589, 1091, 26975, 568, 519, 1184, 676, 799, 6675, 15666, 547, 519, 2627, 540, 1776, 6219, 269, 1879, 3154, 6675, 2097, 883, 3346, 609, 519, 2627, 540, 519, 15181, 23315, 267, 789, 6529, 547, 519, 2627, 540, 519, 3327, 22405, 267, 3927, 29212, 873, 269, 901, 1184, 18788, 519, 3154, 6675, 689, 519, 2011, 267, 6028, 3297, 15777, 267, 23906, 615, 2011, 563, 7617, 717, 1162, 6496, 2920, 17300, 4077, 19254, 12559, 12643, 888, 8002, 17300, 23315, 666, 10110, 513, 2647, 2039, 540, 9362, 267, 1519, 19979, 5214, 7135, 630, 309, 31237, 1070, 6101, 24957, 267, 9436, 12547, 267, 543, 16247, 12547, 269, 966, 31237, 616, 6464, 602, 666, 2014, 7929, 2042, 267, 14331, 267, 543, 824, 1072, 2152, 269, 31131, 24957, 568, 513, 1455, 11255, 2011, 12376, 656, 602, 666, 2014, 16698, 540, 519, 4064, 267, 9224, 267, 543, 11563, 269, 21193, 4088, 12547, 543, 16247, 12547, 616, 1312, 1455, 14107, 1336, 538, 1286, 9688, 32669, 563, 19119, 540, 4635, 2920, 17300, 4077, 19254, 585, 5794, 8830, 2305, 454, 8794, 15181, 23315, 585, 2011, 22729, 814, 1896, 2640, 269, 17616, 267, 621, 568, 513, 2067, 543, 3114, 6954, 1259, 547, 1625, 1518, 519, 2011, 269, 9521, 824, 2011, 1625, 13294, 267, 15181, 23315, 1281, 711, 5305, 1022, 5739, 676, 335, 20094, 883, 519, 2011, 269, 19627, 267, 15181, 23315, 568, 3810, 2500, 693, 9427, 5739, 9362, 689, 519, 2011, 267, 1818, 621, 606, 5140, 3903, 585, 1004, 609, 7929, 2042, 269, 7053, 267, 15181, 23315, 568, 5266, 20522, 543, 2653, 547, 946, 563, 1692, 547, 2422, 2920, 17300, 4077, 19254, 585, 5794, 8830, 2305, 454, 2414, 946, 15181, 23315, 585, 2011, 22729, 267, 596, 786, 991, 547, 6718, 15181, 23315, 12086, 610, 11435, 269, 1452, 12086, 610, 11435, 666, 581, 5116, 538, 2127, 540, 519, 1753, 1141, 2011, 22729, 568, 2877, 267, 971, 607, 538, 519, 2713, 4055, 610, 23103, 269, 634, 15181, 23315, 786, 10110, 519, 9362, 538, 519, 2011, 267, 6028, 3297, 15777, 267, 23906, 615, 2011, 269, 898, 568, 1271, 547, 5372, 519, 12086, 610, 11435, 5781, 547, 2327, 5021, 7145, 563, 7093, 8619, 1903, 1879, 4635, 2920, 17300, 4077, 19254, 454, 4407, 15181, 23315, 568, 3622, 2922, 547, 946, 267, 972, 616, 513, 1906, 15416, 602, 596, 1058, 1491, 269, 17616, 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 ]
[ 370, 10524, 500, 12571, 491, 29830, 490, 11590, 356, 417, 497, 479, 8147, 10429, 483, 13161, 354, 419, 507, 478, 16043, 495, 7511, 16043, 379, 25426, 368, 8147, 12916, 484, 16043, 495, 13213, 502, 418, 481, 367, 28884, 418, 505, 368, 14035, 504, 12486, 16043, 495, 10524, 492, 21251, 26033, 481, 420, 503, 495, 16043, 495, 18263, 364, 7511, 4970, 506, 420, 354, 379, 15159, 12571, 355, 29830, 358, 20069, 19867, 478, 29219, 8147, 420, 503, 377, 419, 482, 370, 16043, 495, 18263, 364, 4970, 506, 420, 354, 379, 13601, 25203, 368, 421, 25693, 23523, 486, 2108, 419, 366, 378, 13107, 492, 892, 8147, 18263, 364, 7511, 421, 25693, 15159, 19867, 497, 418, 488, 502, 7511, 417, 499, 484, 417, 497, 479, 12486, 419, 482, 370, 26033, 490, 8147, 16043, 495, 28098, 16533, 484, 23521, 354, 28884, 10524, 492, 11590, 489, 7511, 420, 494, 354, 421, 498, 478, 30903, 484, 417, 509, 509, 29072, 25335, 352, 420, 370, 488, 418, 371, 365, 24662, 8147, 16533, 365, 420, 370, 488, 13107, 492, 419, 503, 377, 420, 485, 359, 26266, 365, 31308, 509, 23521, 354, 15159, 418, 371, 365, 9463, 501, 23946, 379, 417, 495, 488, 7511, 26266, 355, 9463, 367, 12486, 16043, 495, 418, 481, 367, 28884, 7511, 8147, 16043, 495, 19867, 478, 18263, 364, 7511, 8147, 421, 25693, 9463, 501, 28996, 23521, 480, 417, 379, 501, 18998, 13200, 369, 25335, 484, 16043, 500, 10254, 360, 7511, 23946, 379, 417, 495, 488, 417, 499, 484, 7511, 25051, 365, 417, 497, 491, 8147, 14395, 481, 10524, 361, 21928, 417, 495, 488, 13644, 487, 16043, 495, 13644, 354, 18263, 364, 11590, 505, 10524, 478, 18263, 486, 12486, 645, 19272, 454, 24552, 543, 25285, 476, 272, 269, 6752, 281, 519, 1259, 540, 19703, 610, 1969, 532, 602, 568, 2808, 519, 1655, 693, 513, 1978, 942, 6201, 281, 3040, 674, 1662, 687, 723, 4957, 2094, 594, 729, 513, 8004, 269, 3040, 674, 1662, 687, 585, 2367, 781, 9660, 1689, 1447, 3040, 4749, 982, 535, 1662, 687, 585, 2021, 781, 3040, 9660, 269, 645, 19272, 454, 24552, 543, 25285, 476, 273, 269, 6216, 281, 320, 1362, 540, 5370, 799, 568, 519, 1587, 540, 513, 1880, 6109, 540, 16073, 6201, 281, 3040, 1548, 568, 707, 5172, 6216, 540, 12853, 286, 3040, 1703, 616, 1079, 12478, 540, 519, 2376, 593, 519, 3040, 2344, 269, 645, 19272, 454, 24552, 543, 25285, 476, 274, 269, 6408, 281, 1268, 267, 3662, 267, 3092, 269, 7092, 5945, 267, 1928, 267, 2530, 267, 3092, 269, 607, 1267, 540, 824, 1004, 781, 3527, 267, 610, 540, 4576, 267, 3983, 9939, 267, 3092, 269, 6201, 281, 3040, 1261, 729, 519, 6408, 540, 2192, 2389, 13015, 607, 513, 3040, 1126, 269, 3040, 3509, 5215, 540, 2831, 723, 1044, 3040, 9601, 540, 713, 9490, 1007, 2068, 269, 645, 19272, 454, 928, 947, 640, 281, 1945, 602, 568, 2556, 14300, 281, 5253, 543, 7802, 616, 29476, 540, 1272, 269, 2171, 3513, 1491, 1152, 519, 29476, 585, 519, 22742, 7552, 269, 645, 19272, 454, 24552, 543, 25285, 476, 275, 269, 10571, 909, 281, 24708, 630, 31138, 267, 610, 13951, 264, 811, 10694, 267, 17611, 269, 609, 7802, 6201, 281, 3040, 1358, 21039, 909, 585, 519, 8317, 269, 3040, 3657, 596, 2469, 547, 10571, 909, 585, 519, 5428, 267, 610, 3040, 568, 621, 13016, 286, 645, 19272, 454, 24552, 543, 25285, 476, 276, 269, 2697, 609, 281, 2014, 610, 2015, 630, 16341, 821, 547, 581, 4448, 609, 1945, 264, 6201, 281, 3040, 32100, 3112, 581, 4857, 609, 8788, 269, 3040, 634, 1158, 14439, 11427, 269, 623, 1678, 327, 32231, 609, 3040, 4775, 31414, 269, 645, 19272, 454, 339, 1248, 547, 281, 2998, 547, 3267, 1721, 948, 267, 5796, 267, 29059, 267, 4313, 267, 3092, 269, 14300, 281, 634, 1126, 5433, 972, 729, 1100, 835, 646, 1223, 2490, 547, 609, 1010, 2042, 15660, 1185, 547, 2490, 547, 519, 8675, 585, 948, 269, 3040, 1547, 645, 19272, 454, 24552, 543, 25285, 476, 277, 269, 1391, 281, 3406, 267, 3801, 547, 1265, 6201, 281, 3040, 634, 1391, 585, 4154, 729, 1279, 543, 2352, 269, 3040, 1261, 4682, 547, 519, 5399, 538, 1391, 540, 3040, 1945, 547, 1224, 269, 645, 19272, 454, 19972, 547, 281, 323, 2570, 593, 547, 1683, 948, 267, 5796, 267, 3092, 269, 3040, 6201, 281, 3040, 1284, 1413, 547, 596, 585, 948, 1315, 547, 948, 721, 269, 3040, 1323, 2111, 1762, 812, 568, 11849, 3139, 547, 1413, 547, 1866, 585, 6351, 645, 19272, 454, 24552, 543, 25285, 476, 278, 269, 1860, 281, 3310, 6201, 281, 3040, 634, 2179, 540, 4764, 5540, 519, 2208, 540, 3040, 7031, 269, 3040, 634, 2804, 6433, 814, 12517, 4299, 3040, 4639, 4436, 18666, 269, 645, 19272, 454, 24552, 543, 25285, 476, 279, 269, 1039, 547, 281, 2322, 1927, 609, 1945, 3116, 865, 607, 547, 2333, 519, 1297, 267, 2450, 267, 2956, 6201, 281, 3040, 1261, 3773, 930, 3574, 547, 519, 3595, 269, 3040, 634, 2575, 3773, 547, 938, 18399, 269, 645, 19272, 454, 24552, 543, 25285, 476, 280, 269, 581, 835, 781, 13337, 281, 581, 1945, 585, 799, 835, 666, 1318, 569, 581, 30199, 6201, 281, 3040, 898, 568, 707, 1378, 13337, 585, 711, 1565, 269, 3040, 1733, 846, 13337, 568, 621, 630, 7474, 264, 649, 616, 3735, 286, 898, 568, 711, 3040, 938, 13337, 269, 645, 19272, 0, 28557, 10259, 585, 2910, 3918, 288, 454, 2171, 1589, 519, 2262, 4295, 320, 568, 513, 4413, 335, 2454, 269, 898, 1223, 581, 1175, 606, 11234, 10259, 540, 519, 1913, 799, 616, 6700, 2630, 269, 5623, 519, 1592, 543, 4584, 519, 2262, 799, 596, 1589, 568, 519, 1034, 5078, 563, 11767, 707, 2262, 2630, 543, 4945, 1934, 547, 3406, 454, 23458, 281, 12626, 910, 2136, 2276, 7827, 454, 268, 15212, 910, 4436, 454, 268, 5617, 22654, 910, 5617, 22654, 1014, 454, 268, 18280, 534, 910, 4406, 523, 857, 534, 454, 268, 20636, 910, 667, 13089, 454, 268, 10656, 910, 715, 25005, 4133, 454, 268, 2296, 910, 5245, 454, 268, 2296, 910, 4516, 454, 268, 2296, 910, 2136, 8003, 454, 268, 2296, 910, 2136, 2276, 454, 268, 2296, 910, 26838, 454, 268, 2296, 910, 1715, 10215, 454, 268, 5333, 910, 6601, 2023, 454, 268, 3943, 910, 31839, 9820, 454, 268, 4436, 910, 1546, 28852, 454, 268, 4436, 910, 11822, 454, 268, 4436, 16848, 910, 5576, 933, 6500, 1372, 28852, 454, 268, 5259, 910, 3852, 499, 16575, 16575, 24341, 14832, 15403, 24681, 31149, 454, 268, 9459, 910, 14655, 454, 268, 7969, 910, 7969, 334, 454, 268, 13372, 910, 22105, 11530, 454, 268, 14470, 910, 2717, 24989, 454, 268, 14082, 910, 9929, 340, 17845, 338, 454, 268, 14082, 8478, 910, 9929, 340, 17845, 338, 454, 268, 14082, 910, 4911, 7637, 454, 268, 14082, 910, 7720, 9809, 3711, 1664, 454, 268, 4936, 1014, 910, 7931, 5889, 333, 26324, 454, 268, 6739, 910, 2843, 510, 7846, 4736, 4736, 24012, 13953, 454, 303, 6372, 2953, 29745, 585, 4295, 320, 454, 268, 1416, 1809, 5310, 594, 729, 5921, 547, 1491, 1416, 540, 596, 563, 268, 25287, 320, 932, 648, 320, 6070, 629, 529, 552, 611, 655, 563, 268, 1351, 320, 3767, 267, 596, 979, 1753, 267, 4856, 320, 2437, 646, 9901, 267, 834, 663, 4235, 1945, 3905, 1996, 713, 1178, 3272, 731, 28306, 563, 268, 4295, 898, 6770, 721, 547, 519, 12939, 540, 1346, 5289, 2833, 799, 616, 519, 21372, 4295, 543, 4641, 540, 938, 6228, 267, 2479, 9800, 1369, 721, 267, 855, 3622, 1654, 6150, 543, 1016, 23655, 563, 268, 2961, 320, 834, 2791, 4312, 1152, 546, 2331, 609, 2961, 320, 2899, 713, 10543, 267, 28120, 2437, 1352, 4767, 563, 268, 5516, 344, 1809, 4057, 6276, 5516, 344, 267, 945, 1185, 1044, 3841, 592, 748, 543, 4617, 267, 729, 1500, 540, 824, 8631, 563, 268, 27334, 2207, 898, 16393, 581, 1411, 267, 519, 8458, 540, 4742, 513, 1416, 337, 267, 5516, 3464, 5177, 476, 1220, 272, 27116, 1005, 6153, 5516, 585, 24771, 4658, 281, 14171, 513, 1279, 3856, 2070, 267, 654, 534, 1652, 267, 667, 563, 2767, 1913, 1500, 689, 519, 5022, 4295, 320, 454, 274, 4484, 1913, 1500, 689, 4295, 320, 912, 276, 4484, 1913, 1500, 689, 4295, 320, 912, 29309, 335, 2454, 540, 519, 1554, 454, 268, 1310, 16657, 338, 454, 268, 581, 554, 987, 0, 263, 310, 297, 30045, 264, 1107, 589, 5812, 9219, 814, 1044, 835, 540, 519, 1101, 10689, 12201, 540, 10340, 267, 543, 8103, 814, 2141, 2097, 909, 609, 1007, 2081, 547, 9004, 2300, 4926, 585, 519, 1447, 14047, 783, 540, 721, 563, 21196, 2775, 30540, 5384, 568, 513, 21496, 12136, 538, 519, 2136, 2276, 267, 1141, 607, 513, 4182, 649, 968, 338, 7428, 4464, 892, 610, 968, 6420, 1394, 892, 676, 782, 14577, 938, 23234, 606, 5662, 6619, 543, 3297, 267, 6606, 563, 2690, 930, 267, 21924, 5614, 21765, 568, 4502, 519, 1942, 538, 519, 2887, 267, 855, 1946, 1705, 519, 2259, 1376, 538, 519, 1101, 1747, 888, 763, 3778, 540, 5384, 454, 1103, 513, 2428, 9917, 961, 267, 942, 3884, 1406, 607, 2759, 543, 3819, 607, 596, 1522, 4126, 621, 568, 269, 769, 7507, 267, 519, 30486, 11706, 8719, 519, 4936, 17044, 11706, 547, 811, 5702, 5447, 741, 18523, 8430, 609, 519, 4890, 2619, 540, 519, 3047, 1472, 519, 6129, 563, 1103, 519, 2136, 2276, 267, 942, 10851, 941, 8045, 538, 519, 3735, 476, 866, 628, 11416, 547, 3044, 1125, 16456, 16131, 2066, 519, 2197, 563, 1103, 1776, 10167, 540, 942, 543, 9297, 267, 772, 2529, 269, 4303, 2775, 30540, 5384, 630, 291, 4306, 264, 21256, 856, 540, 519, 1482, 991, 563, 2026, 519, 3047, 25057, 519, 3141, 267, 519, 1482, 28550, 602, 3947, 721, 519, 12405, 3217, 21765, 689, 721, 269, 13689, 593, 707, 3845, 689, 519, 20337, 267, 707, 1753, 786, 28550, 4724, 610, 2476, 689, 519, 6129, 779, 12345, 543, 1689, 519, 942, 540, 23863, 543, 3141, 23438, 1142, 1554, 563, 4407, 519, 3017, 568, 5266, 1507, 1142, 1554, 267, 519, 1764, 8591, 909, 269, 769, 2484, 8832, 543, 8828, 4525, 540, 519, 1158, 621, 899, 772, 1206, 329, 758, 328, 267, 18940, 267, 7264, 723, 1152, 1079, 3108, 543, 476, 1428, 3764, 540, 1769, 593, 741, 4158, 652, 1554, 563, 1103, 606, 4674, 547, 18359, 5755, 1282, 2622, 2782, 594, 267, 519, 2136, 2276, 1101, 8045, 4303, 2775, 30540, 5384, 538, 476, 4489, 279, 269, 634, 7744, 729, 2147, 547, 18148, 15284, 779, 795, 3183, 19583, 547, 8303, 2103, 267, 6031, 602, 789, 1223, 4688, 593, 22250, 952, 789, 1152, 530, 5803, 909, 19692, 563, 763, 2268, 729, 4547, 1394, 2066, 519, 772, 2529, 269, 538, 2622, 2782, 4083, 267, 1634, 607, 2782, 5384, 267, 585, 519, 1482, 4128, 563, 4407, 519, 2038, 1686, 540, 667, 4306, 538, 519, 772, 2529, 269, 729, 2938, 607, 14902, 762, 267, 519, 1764, 602, 519, 1689, 814, 568, 1100, 24983, 281, 2687, 547, 513, 4972, 540, 6052, 1867, 538, 476, 1001, 276, 267, 6905, 667, 4306, 21892, 538, 476, 1220, 276, 2759, 10199, 1547, 6734, 260, 540, 3084, 5201, 6165, 269, 2755, 602, 1297, 949, 3100, 1507, 267, 519, 6151, 1297, 10710, 568, 476, 272, 269, 274, 570, 5028, 654, 3430, 3620, 2293, 563, 1103, 824, 1913, 267, 519, 1648, 10710, 676, 602, 10137, 1223, 1379, 476, 26316, 267, 28656, 476, 2568, 2914, 3430, 15620, 585, 606, 3003, 1032, 2786, 563, 3383, 1946, 798, 594, 6336, 602, 5662, 540, 21765, 888, 2691, 519, 772, 2529, 269, 968, 17517, 1394, 5608, 649, 5749, 1406, 3001, 519, 23234, 4505, 269, 1284, 2461, 2965, 4259, 873, 1394, 547, 741, 3312, 1875, 5937, 4306, 942, 267, 610, 9208, 5384, 563, 1103, 476, 1708, 272, 267, 9208, 5384, 7024, 693, 476, 273, 513, 6230, 269, 8734, 269, 476, 278, 269, 25439, 23234, 4448, 547, 519, 4950, 786, 9337, 8850, 693, 602, 942, 267, 543, 32302, 1058, 991, 1100, 14577, 563, 2690, 782, 824, 23234, 267, 3314, 547, 1305, 873, 835, 5662, 4505, 2901, 1354, 5127, 610, 693, 476, 273, 513, 6230, 269, 952, 596, 2461, 513, 3781, 22559, 269, 634, 1689, 786, 2285, 596, 606, 3606, 5662, 540, 3207, 267, 693, 519, 1942, 540, 606, 5662, 540, 21765, 693, 519, 1439, 540, 519, 1554, 563, 763, 3375, 18387, 1406, 1044, 24080, 2442, 676, 1022, 1797, 267, 609, 16027, 10981, 9812, 986, 4979, 1996, 519, 4657, 8430, 543, 6998, 547, 8190, 741, 2038, 1769, 3144, 676, 667, 4306, 2395, 563, 2690, 1346, 540, 721, 593, 513, 811, 9219, 2861, 8430, 267, 519, 1689, 7436, 519, 4098, 540, 5162 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10072, 5301, 563, 268, 590, 12714, 654, 15505, 4469, 1052, 281, 901, 1826, 540, 1166, 1052, 568, 4122, 1031, 538, 1507, 1673, 3554, 2678, 267, 1164, 25774, 3156, 267, 971, 607, 3114, 543, 14453, 6080, 563, 268, 27387, 539, 4469, 1052, 281, 27387, 539, 1166, 5190, 616, 1031, 538, 1970, 25774, 543, 1970, 27529, 3156, 267, 971, 607, 21818, 1949, 543, 1507, 8397, 6080, 563, 268, 700, 777, 17434, 4469, 1052, 281, 700, 777, 4745, 1166, 5190, 616, 1419, 1031, 538, 6080, 602, 2154, 7928, 24905, 1782, 543, 2653, 1569, 585, 14791, 543, 7738, 267, 971, 607, 1426, 4393, 543, 14453, 6080, 563, 268, 2107, 12715, 4469, 1052, 281, 2107, 12715, 1166, 5190, 616, 1031, 538, 2095, 6482, 3156, 267, 1141, 606, 610, 12715, 6676, 568, 8704, 1063, 1079, 1166, 5190, 547, 2268, 5714, 2095, 563, 268, 15190, 12386, 32559, 4469, 1052, 281, 15190, 12386, 9420, 1166, 5190, 616, 1031, 538, 3156, 1141, 621, 568, 2556, 547, 9505, 1055, 2095, 17303, 267, 971, 607, 5826, 610, 7816, 540, 513, 18180, 3296, 563, 2005, 779, 1271, 547, 4063, 602, 519, 3498, 2039, 540, 1166, 5190, 666, 4268, 4470, 593, 519, 1808, 1374, 267, 2326, 1031, 267, 543, 2872, 4441, 269, 898, 568, 5227, 547, 5077, 609, 2872, 4648, 610, 1166, 1052, 9755, 585, 1808, 3498, 4170, 563, 278, 269, 1548, 616, 519, 1455, 2326, 585, 1166, 5190, 888, 14503, 5190, 666, 581, 1500, 689, 513, 3099, 540, 2326, 267, 4470, 593, 519, 3498, 543, 519, 1808, 4170, 540, 519, 10398, 532, 1062, 269, 2368, 1455, 2326, 1031, 585, 1166, 5190, 1331, 912, 268, 12539, 13082, 281, 12539, 5374, 1166, 5190, 616, 4922, 1031, 1813, 547, 741, 4222, 267, 15006, 267, 543, 26622, 269, 1358, 666, 16641, 1164, 5210, 543, 12503, 267, 1818, 873, 5078, 585, 513, 2039, 540, 3156, 563, 268, 32255, 13082, 281, 32255, 5374, 1166, 5190, 616, 14809, 15033, 543, 616, 1419, 1031, 538, 5054, 1141, 972, 568, 513, 1981, 540, 3114, 610, 1216, 14809, 269, 1358, 616, 4122, 1031, 538, 1426, 4393, 267, 14453, 267, 543, 3114, 6080, 563, 268, 2353, 1195, 13082, 281, 2353, 1195, 5374, 1166, 5190, 616, 1500, 689, 513, 7848, 540, 1114, 8407, 267, 971, 607, 26388, 267, 544, 8432, 321, 6577, 636, 267, 543, 19695, 269, 1358, 2709, 9120, 4222, 267, 8476, 14809, 4187, 267, 543, 5140, 2773, 538, 1164, 27529, 543, 1164, 25774, 3156, 563, 268, 10011, 11635, 281, 10011, 4401, 1166, 5190, 616, 1634, 585, 741, 1164, 4222, 543, 15006, 269, 1358, 616, 4122, 1031, 538, 1970, 25774, 543, 1970, 27529, 3156, 267, 971, 607, 21818, 543, 8022, 1949, 563, 268, 5696, 817, 281, 5696, 817, 1166, 5190, 616, 12595, 585, 741, 5140, 14809, 4187, 543, 12716, 9029, 269, 1358, 616, 1419, 1031, 538, 3156, 1141, 15312, 616, 1271, 267, 971, 607, 11265, 610, 16560, 10398, 532, 1949, 563, 268, 31668, 630, 28139, 9109, 2643, 25914, 728, 2567, 31668, 1166, 5190, 616, 1031, 538, 3156, 5473, 1351, 4592, 633, 6464, 610, 1141, 4187, 547, 14809, 568, 2838, 269, 1358, 616, 17426, 267, 1942, 15807, 267, 543, 4122, 1031, 538, 1216, 543, 16894, 2126, 2371, 563, 268, 667, 10631, 850, 11635, 281, 667, 10631, 850, 4401, 1166, 5190, 2709, 4222, 267, 15006, 267, 543, 4187, 547, 14809, 269, 1358, 616, 4122, 1031, 538, 1216, 543, 21137, 1949, 267, 607, 1134, 607, 538, 519, 3282, 543, 3154, 2872, 563, 763, 3903, 540, 1166, 1052, 1570, 5673, 593, 2188, 899, 519, 5665, 2175, 267, 2604, 543, 2837, 4170, 267, 3114, 17356, 267, 543, 1942, 9270, 538, 1142, 1808, 3498, 563, 279, 269, 1548, 616, 519, 1114, 3096, 540, 1166, 5190, 540, 1114, 2326, 888, 17843, 2326, 1031, 538, 1166, 5190, 723, 1808, 3601, 602, 1118, 873, 5078, 585, 1585, 3156, 269, 3371, 616, 930, 1455, 2326, 1031, 538, 1166, 5190, 543, 741, 1114, 3096, 912, 268, 12539, 13082, 4469, 5190, 281, 12539, 5374, 1166, 5190, 616, 4922, 1031, 538, 6080, 971, 607, 3282, 543, 3154, 267, 1379, 5108, 267, 543, 3114, 4393, 269, 1358, 2709, 1434, 4222, 543, 616, 5078, 585, 3156, 609, 1164, 12503, 543, 5210, 563, 268, 32255, 13082, 4469, 5190, 281, 32255, 5374, 1166, 5190, 616, 14809, 15033, 543, 723, 1164, 4222, 267, 1818, 873, 5078, 585, 3156, 1141, 14809, 568, 513, 6161, 267, 971, 607, 538, 519, 1426, 543, 20892, 2872, 267, 14453, 2872, 267, 543, 7286, 3156, 563, 268, 2353, 1195, 13082, 4469, 5190, 281, 2353, 1195, 5374, 1166, 5190, 616, 1031, 538, 3156, 602, 2154, 1164, 4222, 267, 5140, 32297, 267, 543, 4187, 547, 14809, 543, 1164, 5210, 269, 1358, 616, 4122, 1031, 538, 6080, 971, 607, 3282, 543, 3154, 267, 4620, 10635, 8707, 267, 543, 1379, 5108, 563, 268, 13660, 14658, 32255, 13082, 4469, 5190, 281, 13660, 14658, 16243, 5374, 1166, 5190, 2709, 513, 4999, 540, 1164, 4222, 543, 5140, 14809, 4187, 269, 1358, 616, 1031, 538, 3156, 1141, 4187, 547, 2566, 14809, 25305, 543, 8486, 1154, 568, 2565, 267, 971, 607, 21369, 3282, 5867, 267, 3114, 2371, 267, 543, 26869, 5054, 563, 268, 5696, 817, 4469, 5190, 281, 5696, 817, 1166, 5190, 616, 1419, 1031, 538, 21818, 267, 25256, 1949, 267, 543, 1970, 25774, 3156, 269, 1358, 1683, 1434, 14809, 4187, 267, 616, 2653, 547, 5478, 267, 543, 2709, 1434, 8143, 19428, 563, 268, 10011, 11635, 4469, 5190, 281, 10011, 4401, 1166, 5190, 616, 1031, 538, 1970, 25774, 543, 1970, 27529, 3156, 269, 1358, 616, 4122, 1031, 538, 21818, 1949, 267, 16894, 2126, 2371, 267, 543, 4070, 3785, 563, 268, 31668, 630, 28139, 9109, 2643, 25914, 728, 264, 4469, 5190, 281, 31668, 1166, 5190, 616, 17426, 267, 2653, 547, 3888, 267, 543, 11259, 547, 14809, 543, 6464, 269, 1358, 616, 4122, 1031, 538, 12555, 1949, 267, 1216, 3761, 5121, 267, 543, 3114, 1184, 6080, 563, 268, 21419, 1756, 4469, 5190, 281, 21419, 1756, 1166, 5190, 616, 1031, 538, 3156, 1141, 17426, 267, 1164, 4222, 543, 5140, 14809, 4187, 616, 2838, 269, 1358, 1265, 3156, 538, 519, 23825, 2872, 267, 3114, 4393, 267, 543, 2564, 18032, 563, 2005, 568, 1271, 547, 2824, 519, 3617, 1570, 585, 1166, 5190, 1759, 593, 519, 1808, 4170, 540, 519, 3498, 267, 1519, 2188, 899, 2837, 267, 2604, 267, 5714, 17356, 267, 543, 2825, 2175, 269, 31173, 609, 2872, 4648, 610, 1166, 1052, 9755, 568, 5227, 547, 2327, 519, 1318, 1570, 5542, 585, 1808, 6165, 563, 280, 269, 1018, 568, 4469, 1052, 8131, 888, 288, 1166, 1052, 3068, 4016, 547, 519, 2627, 540, 513, 1166, 1052, 1141, 621, 2306, 3346, 609, 1776, 1166, 1052, 610, 575, 21488, 269, 898, 568, 519, 20282, 2627, 602, 5932, 513, 13021, 950, 1079, 1166, 5190, 616, 10240, 1540, 1927, 269, 634, 1166, 1052, 3068, 666, 581, 6366, 267, 6659, 267, 610, 723, 513, 1808, 9043, 4470, 593, 519, 1826, 540, 1166, 1052, 543, 27575, 4170, 563, 763, 2298, 543, 2783, 540, 519, 1166, 1052, 3068, 568, 2629, 585, 4180, 513, 1697, 543, 13451, 6954, 4276, 269, 7102, 20541, 687, 267, 971, 607, 29565, 2583, 267, 546, 757, 267, 610, 19514, 1145, 267, 666, 11874, 1860, 519, 8699, 540, 519, 13021, 269, 4475, 267, 1166, 1052, 8188, 616, 5402, 2577, 1441, 610, 561, 11474, 547, 1683, 513, 5347, 543, 6366, 2627, 585, 6099, 27575, 2773, 563, 17843, 2010, 540, 1166, 1052, 8188, 1331, 912, 268, 25065, 8131, 630, 13697, 2567, 1452, 1166, 1052, 8188, 723, 5347, 267, 6366, 7252, 543, 616, 3335, 1031, 585, 1970, 25774, 3156, 609, 1875, 31475, 28351, 575, 2532, 1115, 269, 1358, 2154, 3606, 27575, 3800, 971, 607, 744, 8573, 902, 610, 575, 2532, 1115, 547, 1711, 513, 9395, 13021, 563, 268, 14780, 2213, 8131, 630, 27184, 2567, 14780, 2213, 3068, 1166, 5190, 723, 513, 1507, 6659, 8258, 1472, 519, 30021, 9475, 593, 519, 1166, 1052, 3068, 269, 901, 6659, 6712, 2488, 606, 3606, 27575, 2627, 543, 10597, 519, 2702, 547, 2270, 1164, 25774, 12862, 563, 268, 23580, 7392, 17434, 630, 20670, 297, 2567, 21512, 297, 1166, 5190, 723, 16887, 2966, 9240, 7174, 593, 519, 1166, 1052, 3068, 602, 13918, 4496, 8258, 575, 2532, 1115, 269, 1452, 1166, 5190, 616, 4122, 1031, 538, 1164, 25774, 543, 1164, 27529, 3156, 267, 971, 607, 538, 519, 3282, 543, 3154, 2872, 563, 2467, 616, 824, 7463, 1166, 1052, 3068, 12632, 607, 1134, 267, 4470, 593, 519, 1808, 3498, 4170, 269, 898, 779, 2629, 547, 2327, 602, 519, 1166, 1052, 3068, 13292, 519, 7222, 1166, 1052, 3068, 593, 519, 20282, 1166, 1052, 610, 575, 21488, 547, 2226, 513, 1697, 13021, 543, 2061, 24694, 563, 1015, 269, 1215, 547, 3442, 513, 1166, 1052, 3068, 888, 24400, 519, 1318, 1166, 1052, 3068, 5673, 593, 1896, 2188, 267, 1519, 519, 3498, 267, 2604, 267, 2837, 267, 1826, 540, 5714, 610, 3154, 1373, 24829, 267, 543, 27575, 4170, 269, 3371, 616, 930, 9270, 547, 948, 596, 3442, 519, 3617, 1166, 1052, 3068, 912, 268, 13335, 543, 16242, 281, 14419, 519, 1808, 3498, 4170, 543, 519, 4397, 2604, 2175, 269, 7756, 1166, 1052, 8188, 616, 2966, 547, 6023, 1114, 2604, 9832, 269, 1280, 1383, 267, 6366, 3068, 1166, 5190, 630, 13697, 264, 616, 5078, 585, 1970, 25774, 3156, 267, 1247, 6659, 3068, 1166, 5190, 630, 27184, 264, 610, 8258, 15178, 4745, 1166, 5190, 630, 20670, 297, 264, 616, 3335, 1031, 585, 2362, 25774, 3156, 563, 268, 18323, 281, 6333, 519, 2837, 540, 519, 1062, 269, 4400, 27529, 3156, 949, 2154, 1166, 1052, 8188, 602, 666, 16641, 8143, 7269, 610, 19432, 269, 21512, 297, 1166, 5190, 267, 609, 519, 946, 540, 4496, 8258, 575, 2532, 1115, 267, 616, 1419, 9053, 585, 1164, 27529, 543, 1164, 25774, 3156, 563, 268, 29079, 610, 13937, 3281, 520, 2225, 281, 6333, 519, 1826, 540, 5714, 610, 3154, 1373, 24829, 269, 2368, 12862, 610, 9362, 949, 2154, 1808, 1166, 1052, 8188, 610, 575, 2532, 1115, 547, 2327, 17356, 543, 2061, 24694, 269, 1280, 1383, 267, 1351, 4592, 633, 12862, 949, 2154, 2027, 2326, 610, 15098, 593, 519, 1166, 1052, 3068, 547, 5706, 3114, 4323, 563, 268, 1530, 2718, 21976, 281, 14419, 519, 5551, 1377, 540, 13021, 8699, 269, 1403, 513, 2362, 1377, 540, 27575, 568, 2838, 267, 971, 607, 538, 2565, 610, 13818, 3156, 267, 21512, 297, 1166, 5190, 609, 4496, 8258, 575, 2532, 1115, 616, 1419, 9053, 1813, 547, 741, 9120, 27575, 7207, 269, 1717, 267, 952, 513, 2241, 543, 1942, 15807, 13021, 568, 6190, 267, 6366, 3068, 1166, 5190, 609, 3617, 575, 2532, 1115, 610, 744, 8573, 902, 666, 581, 1031, 563, 268, 12752, 11621, 281, 6333, 1022, 4143, 2872, 4441, 610, 6042, 602, 949, 27774, 519, 1826, 540, 1166, 1052, 3068, 547, 581, 1031, 269, 15316, 6080, 267, 971, 607, 3282, 543, 3154, 267, 4620, 10635, 8707, 267, 543, 1216, 2126, 267, 1419, 723, 1808, 4808, 610, 4441, 585, 1166, 1052, 3068, 5542, 563, 8256, 738, 532, 609, 2872, 4648, 267, 8030, 267, 610, 1166, 1052, 9755, 568, 19624, 547, 2327, 519, 2953, 1166, 1052, 3068, 5542, 585, 707, 1808, 3498, 269, 1358, 666, 1683, 5583, 543, 6791, 1759, 593, 741, 1995, 543, 1702, 540, 2872, 4441, 543, 1655, 2853, 563, 1556, 269, 1548, 2186, 540, 27575, 1505, 1281, 519, 1166, 1052, 9772, 888, 14503, 5190, 3335, 2308, 1585, 27575, 2409, 547, 2327, 513, 5150, 543, 13451, 6954, 4276, 269, 634, 3903, 540, 27575, 1505, 5673, 593, 519, 3498, 267, 2604, 267, 2837, 267, 543, 5714, 17320, 553, 1373, 24829, 269, 3371, 616, 930, 1455, 27575, 2409, 1031, 609, 1166, 5190, 912, 268, 717, 2532, 1115, 281, 717, 2532, 1115, 616, 2571, 267, 14771, 1043, 2326, 5116, 1063, 1166, 1052, 8188, 547, 1711, 513, 13021, 269, 1358, 6445, 1022, 12150, 885, 593, 519, 1166, 1052, 8188, 543, 1683, 513, 11064, 1996, 20984, 269, 7756, 2010, 540, 575, 2532, 1115, 616, 2139, 267, 971, 607, 12285, 267, 524, 1251, 267, 683, 641, 16867, 267, 25280, 25539, 630, 307, 1030, 23127, 1070, 18700, 10138, 267, 543, 4496, 8258, 575, 2532, 1115, 269, 634, 5542, 540, 519, 575, 21488, 1570, 5673, 593, 2188, 899, 2837, 267, 2604, 267, 543, 519, 1826, 540, 5714, 1373, 24829, 563, 268, 744, 7304, 902, 281, 744, 8573, 902, 616, 9764, 12285, 610, 1714, 770, 9593, 545, 20910, 5116, 538, 513, 9240, 913, 593, 519, 1166, 1052, 3068, 269, 1879, 519, 1166, 5190, 616, 10240, 1540, 1927, 267, 519, 744, 268, 2590, 568, 19316, 267, 8108, 513, 13021, 1063, 519, 1079, 1166, 1052, 8188, 269, 744, 8573, 902, 1683, 513, 6325, 13021, 585, 1312, 11979, 543, 6422, 3156, 543, 616, 4122 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 378, 17994, 372, 29497, 491, 17994, 353, 17994, 369, 17994, 362, 29497, 479, 307, 601, 30253, 454, 268, 688, 330, 1731, 520, 267, 12908, 9809, 2131, 307, 24642, 880, 454, 268, 10780, 13077, 8563, 28027, 267, 16044, 500, 13150, 4138, 20265, 267, 11714, 20686, 4814, 4709, 20686, 13150, 9841, 308, 330, 1778, 1014, 454, 268, 12168, 367, 406, 484, 267, 12168, 367, 406, 484, 8294, 404, 355, 17262, 267, 12168, 511, 28405, 17262, 28405, 20254, 21589, 706, 454, 268, 669, 5889, 333, 561, 383, 377, 267, 22614, 506, 509, 419, 494, 484, 267, 521, 12782, 365, 555, 17554, 511, 339, 309, 2884, 17592, 454, 268, 535, 1221, 267, 2357, 520, 267, 2357, 520, 617, 14157, 777, 6686, 330, 454, 7476, 1256, 811, 16627, 585, 18266, 19314, 8340, 513, 8144, 585, 519, 18266, 4214, 538, 824, 4654, 912, 15675, 1776, 1893, 912, 268, 910, 8564, 20620, 268, 22614, 362, 478, 12916, 497, 18809, 24757, 630, 24336, 910, 22217, 1881, 994, 268, 22614, 373, 479, 421, 360, 498, 18809, 24757, 630, 24336, 910, 12465, 994, 268, 25385, 320, 10722, 565, 630, 28049, 994, 268, 10507, 704, 27053, 630, 19324, 704, 27053, 994, 268, 17276, 501, 354, 10951, 361, 420, 359, 508, 630, 30153, 994, 268, 9929, 340, 17845, 338, 630, 21545, 1872, 12956, 994, 268, 1546, 28852, 630, 23389, 994, 268, 24291, 28257, 14507, 24220, 18716, 29756, 630, 288, 32106, 994, 268, 31839, 9820, 630, 23210, 994, 268, 2843, 510, 7846, 4736, 4736, 24012, 13953, 630, 305, 11701, 994, 268, 11774, 366, 499, 25223, 357, 412, 367, 491, 25223, 357, 25223, 350, 630, 298, 2335, 3385, 994, 268, 476, 17432, 506, 422, 369, 511, 424, 500, 368, 630, 298, 17671, 994, 268, 13913, 351, 403, 495, 29645, 27783, 359, 630, 3891, 11119, 994, 268, 717, 2801, 559, 613, 630, 296, 16194, 994, 268, 2843, 352, 7549, 13077, 397, 501, 4709, 4736, 9841, 18547, 630, 308, 330, 1778, 1014, 994, 268, 18457, 14507, 21333, 15906, 630, 21589, 706, 994, 268, 7395, 344, 541, 630, 295, 2426, 4115, 994, 268, 7162, 362, 14098, 357, 24691, 32172, 18028, 357, 11695, 355, 21005, 630, 295, 785, 328, 994, 268, 12868, 630, 5715, 2158, 1014, 994, 268, 7969, 334, 630, 2005, 6501, 994, 268, 11774, 362, 353, 18298, 362, 18298, 379, 18298, 368, 28159, 491, 630, 307, 7056, 994, 268, 570, 14660, 330, 9809, 324, 630, 307, 24642, 880, 994, 268, 11774, 364, 353, 29497, 484, 17994, 366, 29497, 479, 17994, 501, 29497, 479, 630, 307, 601, 30253, 994, 268, 476, 6893, 510, 32453, 6893, 358, 32453, 16055, 482, 6893, 501, 6893, 351, 630, 1320, 2967, 994, 268, 23621, 17554, 379, 978, 22870, 12782, 485, 339, 630, 309, 2884, 17592, 994, 268, 17487, 490, 324, 20795, 339, 2088, 630, 290, 14864, 994, 268, 2717, 24989, 630, 21691, 880, 994, 268, 15840, 14505, 12868, 630, 5715, 2158, 1014, 994, 268, 7931, 5889, 928, 388, 503, 974, 630, 31718, 1014, 994, 268, 715, 25005, 4133, 630, 291, 8553, 994, 268, 3852, 499, 16575, 16575, 24341, 14832, 15403, 24681, 31149, 630, 31528, 994, 268, 5824, 636, 630, 31142, 994, 268, 590, 26223, 6390, 630, 306, 14954, 880, 994, 268, 667, 13089, 630, 291, 4314, 994, 268, 2672, 23449, 630, 293, 4883, 880, 994, 268, 476, 28519, 8294, 14507, 25078, 17262, 630, 25324, 1014, 994, 268, 13913, 503, 21012, 402, 368, 403, 497, 27783, 358, 630, 312, 1342, 880, 994, 268, 476, 401, 364, 401, 350, 401, 369, 401, 354, 402, 478, 401, 354, 401, 370, 630, 30265, 523, 1014, 994, 268, 715, 832, 330, 630, 301, 528, 19886, 994, 268, 2296, 630, 12626, 264, 0, 312, 21788, 30264, 4953, 631, 19851, 700, 17129, 589, 700, 9281, 292, 2316, 10933, 269, 4107, 4892, 2845, 606, 5863, 476, 4037, 267, 1822, 5195, 593, 741, 3952, 676, 519, 942, 789, 3914, 2085, 476, 2004, 269, 8617, 3723, 1416, 666, 1118, 2386, 707, 3952, 616, 909, 547, 519, 4305, 563, 9617, 607, 596, 1131, 711, 979, 513, 1554, 1510, 17678, 707, 4522, 267, 596, 1058, 711, 979, 513, 1554, 1510, 2921, 1416, 540, 707, 3952, 269, 6744, 707, 3952, 3232, 585, 11912, 267, 21399, 267, 11926, 543, 7783, 547, 523, 5661, 269, 11162, 873, 609, 3636, 1216, 543, 12853, 950, 596, 536, 7752, 543, 3819, 873, 1134, 269, 674, 25193, 7103, 602, 2014, 5563, 2648, 7509, 282, 14145, 1516, 873, 540, 6632, 1145, 2306, 621, 811, 2352, 585, 16507, 5563, 547, 8853, 269, 2142, 2386, 547, 3819, 1134, 1063, 519, 19462, 282, 1022, 4430, 7509, 1934, 5932, 513, 1390, 1604, 585, 513, 16507, 3968, 269, 3680, 865, 1136, 707, 3952, 8259, 10288, 547, 798, 865, 676, 707, 10540, 9332, 2077, 269, 1306, 596, 3819, 707, 3952, 267, 1491, 513, 1434, 1413, 693, 519, 1151, 525, 585, 18440, 543, 1063, 707, 19462, 585, 890, 9934, 2127, 269, 901, 1223, 5365, 19002, 779, 3723, 269, 6733, 585, 32396, 540, 519, 18969, 267, 799, 1223, 5815, 513, 17970, 17343, 269, 4658, 609, 3987, 1058, 8524, 741, 3952, 3232, 2094, 789, 723, 513, 2362, 1981, 540, 3723, 21399, 543, 5563, 563, 27770, 626, 584, 1125, 707, 3952, 1169, 1554, 609, 2603, 542, 267, 8645, 610, 19386, 21297, 267, 855, 1810, 1406, 2322, 5848, 584, 6500, 1063, 707, 19462, 269, 2558, 574, 707, 547, 523, 5661, 2786, 2066, 609, 513, 17970, 804, 23124, 543, 2057, 16013, 2719, 1932, 2673, 547, 519, 2960, 269, 2558, 21148, 873, 2786, 2066, 11151, 547, 523, 5661, 689, 3395, 883, 707, 2960, 630, 532, 3497, 547, 523, 841, 1040, 2422, 606, 900, 2044, 4604, 610, 17970, 3758, 547, 9900, 5347, 519, 15174, 563, 28406, 707, 3952, 538, 1857, 2127, 269, 23203, 17643, 10887, 693, 519, 15547, 267, 538, 9376, 518, 11623, 543, 693, 1857, 20115, 267, 799, 4043, 547, 581, 9960, 12406, 585, 13271, 602, 666, 2014, 5563, 269, 3680, 4687, 3723, 613, 541, 269, 1411, 666, 1205, 16507, 5563, 676, 9849, 824, 1004, 779, 10887, 610, 26852, 269, 901, 2882, 10519, 1023, 563, 7312, 3952, 723, 17570, 15374, 7523, 648, 267, 827, 476, 7742, 267, 1822, 538, 1142, 3723, 269, 6431, 17508, 5932, 519, 3501, 1604, 585, 4551, 547, 1332, 269, 7994, 7362, 762, 31321, 547, 1832, 3952, 3819, 282, 26852, 1500, 540, 10991, 11103, 530, 1157, 2476, 7509, 5488, 982, 10412, 610, 15144, 269, 3680, 9849, 23494, 9395, 20562, 344, 327, 846, 267, 799, 15972, 7509, 269, 1677, 1832, 707, 3952, 3819, 543, 2635, 267, 5957, 10887, 1500, 540, 16463, 547, 1450, 2011, 547, 32694, 269, 1403, 596, 2461, 12155, 547, 23494, 17570, 344, 3952, 267, 1413, 585, 10887, 1500, 540, 17450, 17234, 585, 5021, 7362, 1464, 563, 7312, 10887, 1058, 3514, 5265, 543, 1058, 711, 10413, 707, 3952, 269, 1744, 3996, 602, 616, 1932, 9395, 666, 2014, 1279, 3856, 3723, 2042, 269, 23883, 5957, 6899, 10887, 950, 10707, 269, 19255, 585, 10887, 693, 519, 1439, 540, 519, 1554, 547, 22771, 585, 3723, 11926, 602, 4386, 2663, 538, 519, 1554, 267, 543, 5957, 519, 1482, 1826, 540, 26852, 610, 554, 657, 30711, 596, 3580, 5957, 609, 519, 10887, 269, 7994, 513, 3376, 267, 17031, 21489, 609, 7899, 540, 4055, 585, 707, 19462, 543, 513, 2647, 267, 7123, 24933, 269, 3680, 1448, 344, 10887, 267, 799, 666, 16081, 335, 707, 19462, 543, 2014, 3824, 3497, 547, 523, 5661, 543, 1289, 4926, 269, 16505, 538, 707, 10887, 585, 1079, 4374, 1354, 10707, 269, 4787, 760, 519, 16212, 22286, 3591, 543, 1166, 1846, 2094, 789, 798, 711, 1683, 2614, 2895, 1489, 269, 15585, 622, 707, 10887, 865, 596, 798, 711, 5957, 519, 1482, 6292, 1169, 1554, 563, 303, 14037, 999, 616, 5386, 3177, 519, 12427, 616, 13931, 543, 519, 10661, 568, 2973, 267, 609, 1100, 4604, 540, 1072, 19374, 269, 1403, 596, 723, 3987, 610, 4057, 10009, 538, 707, 3952, 267, 5077, 513, 10540, 9332, 2077, 945, 666, 4363, 513, 16419, 7895, 545, 675, 596, 543, 707, 2892, 517, 666, 1246, 585, 6099, 3723, 1072, 269, 21480, 707, 7895, 545, 675, 1101, 3364, 538, 519, 6640, 282, 2892, 517, 3723, 31725, 616, 3335, 2973, 652, 4505, 538, 519, 1554, 269, 5269, 2386, 519, 2892, 517, 12086, 543, 18274, 519, 3723, 8602, 1063, 7218, 269, 20780, 707, 1378, 7895, 545, 675, 27022, 269, 29318, 543, 13271, 666, 1847, 3362, 689, 835, 1268, 547, 519, 1985, 952, 519, 2892, 517, 3085, 1406, 5265, 10322, 559, 1125, 2645, 269, 1763, 626, 519, 20882, 547, 695, 1511, 707, 7953, 1354, 8391, 513, 7895, 545, 675, 269, 18610, 569, 695, 13273, 7953, 610, 1507, 11912, 593, 707, 7953, 949, 1450, 4551, 547, 4283, 269, 1403, 596, 616, 8391, 513, 7895, 545, 675, 543, 812, 545, 675, 267, 1810, 1406, 946, 519, 1482, 2645, 585, 1312, 2533, 267, 607, 4551, 543, 13271, 666, 4483, 1063, 11263, 543, 19462, 563, 28770, 344, 12545, 616, 5393, 24338, 543, 666, 15972, 17900, 602, 3262, 269, 4595, 789, 666, 1406, 581, 10322, 28895, 267, 1810, 1406, 2671, 17970, 6119, 609, 2828, 267, 543, 3142, 707, 1378, 8259, 596, 616, 2386, 519, 2892, 517, 30283, 873, 585, 1142, 6075, 269, 5221, 2759, 2873, 4196, 607, 513, 8825, 11064, 1996, 4551, 267, 1810, 1406, 2479, 2759, 873, 267, 799, 4679, 519, 1981, 540, 3968, 269, 1403, 596, 7985, 689, 5394, 543, 23209, 1819, 547, 523, 5661, 267, 1810, 1406, 4019, 17970, 32432, 547, 3382, 909, 519, 1966, 269, 1403, 519, 1966, 26251, 267, 3643, 707, 10540, 9332, 2077, 269, 898, 1223, 581, 513, 1129, 540, 513, 16507, 3968, 563, 8450, 513, 10540, 9332, 2077, 8164, 707, 3952, 10413, 269, 1684, 711, 3801, 547, 1582, 2389, 805, 11213, 3723, 530, 3996, 282, 596, 949, 1118, 519, 1966, 8338, 269, 589, 10540, 12278, 10629, 1058, 2638, 1022, 6414, 656, 1928, 267, 25017, 267, 11926, 610, 32396, 269, 4855, 513, 10540, 9332, 2077, 945, 568, 4604, 2275, 1068, 1881, 543, 513, 4759, 540, 519, 1977, 23093, 12278, 6481, 5948, 269, 1703, 616, 693, 2547, 5216, 2010, 540, 4604, 24501, 538, 10540, 17226, 269, 5269, 606, 13393, 543, 581, 5423, 547, 2995, 707, 10540, 9332, 2077, 827, 519, 3723, 2042, 596, 616, 7680, 269, 15394, 519, 1966, 666, 581, 23498, 909, 609, 13310, 4915, 610, 513, 5634, 538, 11325, 823, 5650, 269, 589, 10540, 9332, 2077, 666, 948, 2061, 5634, 2042, 689, 4742, 2101, 3283, 563, 763, 1543, 540, 713, 2376, 568, 585, 21141, 5301, 1152, 269, 898, 568, 711, 5497, 547, 581, 513, 12990, 585, 3318, 2564, 5796, 267, 5868, 610, 2126, 269, 11408, 3343, 519, 5796, 540, 707, 10629, 610, 824, 11727, 1072, 1416, 8502, 609, 1022, 2055, 596, 949, 723, 3823, 513, 2564, 2783, 563, 7712, 922, 31449, 585, 19788, 519, 1158, 16918, 8057, 538, 519, 476, 3422, 271, 338, 267, 10255, 3788, 519, 979, 3562, 10278, 585, 1350, 7867, 532, 14812, 269, 3962, 1900, 540, 519, 3460, 568, 679, 549, 5523, 538, 17195, 267, 689, 11477, 5389, 609, 519, 5207, 3044, 540, 11056, 543, 2012, 1532, 8681, 267, 1164, 15134, 10918, 547, 1101, 268, 3433, 9716, 2199, 525, 543, 16918, 22581, 267, 899, 476, 276, 3613, 541, 20730, 267, 4357, 5636, 553, 543, 586, 778, 1206, 563, 296, 4952, 602, 950, 5856, 17713, 4168, 1656, 619, 523, 1660, 539, 267, 968, 16908, 3294, 568, 519, 1034, 8748, 18912, 9661, 2223, 646, 729, 7555, 693, 519, 6316, 540, 10515, 32683, 779, 8978, 570, 643, 10008, 25052, 267, 835, 540, 1010, 5172, 20807, 338, 267, 14219, 1508, 539, 676, 519, 2220, 20071, 540, 1480, 8788, 602, 11303, 1864, 281, 1453, 28617, 282, 1286, 537, 17632, 18343, 282, 3756, 540, 4960, 5129, 585, 26065, 282, 18798, 8066, 3946, 282, 17237, 1004, 22090, 27128, 936, 26265, 267, 3905, 10425, 267, 14420, 543, 26009, 267, 1930, 1922, 3166, 1159, 21417, 337, 516, 1962, 21417, 323, 267, 16862, 779, 30883, 24207, 26889, 269, 2334, 18912, 9661, 2729, 593, 2221, 693, 519, 2034, 6040, 652, 31768, 6288, 538, 519, 1158, 267, 513, 4715, 12386, 540, 1165, 569, 6189, 267, 536, 6033, 625, 267, 10651, 267, 26055, 267, 14060, 267, 12470, 564, 2982, 543, 7772, 3267, 543, 799, 849, 4523, 547, 581, 835, 540, 519, 2749, 779, 1034, 588, 528, 1221, 4025, 547, 7036, 324, 585, 1870, 563, 763, 17468, 5244, 5754, 3430, 17842, 556, 641, 2989, 922, 9885, 267, 8744, 17195, 267, 30483, 543, 1350, 600, 712, 7258, 513, 12162, 547, 519, 15678, 779, 8225, 6561, 269, 1325, 612, 663, 549, 16189, 613, 540, 22456, 16189, 613, 32524, 593, 519, 15678, 779, 29295, 267, 5373, 6667, 689, 4516, 779, 12405, 543, 2067 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3781, 896, 519, 12209, 540, 519, 14742, 563, 4263, 476, 274, 993, 593, 519, 476, 2537, 6113, 267, 1175, 2185, 3108, 1354, 519, 4323, 729, 547, 2253, 267, 4787, 879, 3459, 547, 1847, 1010, 2367, 689, 741, 15720, 4025, 538, 519, 26570, 547, 741, 3803, 7158, 585, 4323, 269, 1261, 2366, 835, 27805, 547, 519, 11824, 1175, 7532, 540, 11968, 13391, 10722, 657, 609, 5528, 547, 1665, 519, 11824, 1935, 609, 8673, 575, 1066, 3547, 585, 519, 993, 339, 2350, 338, 693, 4010, 476, 277, 281, 6812, 269, 6271, 27805, 729, 2366, 547, 519, 5697, 6749, 7997, 269, 2311, 4010, 476, 277, 281, 6812, 713, 27805, 729, 9277, 547, 1665, 519, 6749, 7997, 609, 8673, 575, 1066, 3547, 585, 519, 16042, 8184, 540, 595, 268, 5325, 338, 8876, 3627, 23580, 2401, 779, 1612, 520, 549, 641, 619, 269, 634, 14230, 540, 4787, 879, 779, 3531, 3019, 543, 1368, 518, 18115, 553, 17875, 1194, 998, 519, 26570, 547, 1369, 2039, 540, 519, 9856, 20610, 543, 10788, 7901, 525, 540, 519, 7890, 7623, 269, 4495, 538, 1747, 267, 519, 2367, 5423, 741, 9604, 543, 31372, 585, 670, 16923, 267, 1175, 513, 1906, 3108, 2476, 563, 2026, 4787, 879, 779, 2367, 6410, 883, 2990, 267, 26990, 612, 779, 2367, 3459, 2269, 6137, 741, 10591, 593, 267, 10992, 9604, 267, 543, 3001, 856, 547, 741, 8655, 993, 339, 2350, 338, 269, 1635, 476, 276, 281, 1428, 267, 782, 993, 339, 2350, 338, 941, 538, 519, 1216, 543, 896, 1259, 269, 4635, 1688, 18988, 735, 13293, 547, 3391, 873, 267, 519, 3196, 267, 538, 513, 6241, 540, 555, 4181, 267, 18188, 4724, 11968, 13391, 10722, 657, 563, 288, 1744, 12177, 4886, 585, 519, 10406, 1773, 22395, 454, 3528, 476, 276, 281, 1789, 267, 519, 2367, 540, 645, 7577, 941, 10010, 883, 741, 1612, 778, 1393, 10244, 525, 543, 2269, 6137, 593, 741, 3937, 269, 2311, 476, 277, 522, 685, 22018, 267, 8370, 595, 268, 5325, 338, 3323, 741, 9817, 543, 1369, 476, 1789, 3764, 941, 23197, 269, 634, 8484, 8593, 883, 1614, 21272, 540, 1614, 14742, 267, 1142, 5250, 538, 519, 3337, 540, 513, 966, 269, 1280, 476, 2412, 3764, 519, 14742, 4963, 743, 539, 17880, 11169, 12197, 543, 1287, 5828, 5045, 269, 634, 7914, 5733, 1562, 538, 1142, 8484, 11542, 538, 519, 1930, 7450, 1811, 267, 543, 607, 519, 14742, 24363, 2066, 20698, 10044, 632, 7345, 267, 789, 941, 2111, 547, 1413, 1524, 543, 1294, 519, 993, 339, 2350, 338, 669, 9506, 2476, 2066, 519, 10720, 563, 2026, 519, 2367, 540, 519, 476, 1556, 628, 5794, 13871, 10406, 14059, 741, 6662, 689, 1114, 8846, 267, 9039, 540, 873, 7691, 519, 12416, 602, 1185, 11200, 539, 1282, 519, 3781, 269, 589, 623, 268, 8618, 4563, 654, 573, 578, 3781, 11028, 18590, 7077, 1185, 8120, 689, 922, 5692, 547, 1867, 513, 1390, 1297, 540, 18114, 267, 782, 609, 2212, 7547, 593, 267, 3001, 538, 519, 4287, 540, 519, 11968, 13391, 10722, 657, 3786, 269, 10406, 24990, 941, 28280, 269, 1548, 1705, 713, 1611, 286, 9894, 519, 5545, 1451, 827, 519, 15063, 543, 1287, 6430, 547, 882, 11229, 782, 519, 14586, 1354, 519, 4323, 286, 2107, 941, 789, 11488, 538, 7366, 540, 12927, 906, 538, 1931, 547, 9718, 519, 3786, 286, 4937, 4210, 532, 729, 711, 1881, 5612, 269, 1261, 2219, 585, 1152, 513, 1906, 3764, 269, 1261, 6785, 602, 646, 1223, 11291, 16764, 4849, 4787, 879, 779, 2367, 267, 945, 1131, 2253, 519, 4323, 693, 4010, 476, 277, 281, 6812, 1765, 333, 5847, 1223, 3247, 602, 269, 1924, 646, 4847, 519, 5692, 547, 8399, 563, 4263, 476, 277, 281, 3393, 267, 519, 11968, 13391, 10722, 657, 3786, 3459, 547, 13489, 269, 25569, 338, 540, 14586, 3459, 25937, 856, 540, 741, 3046, 13715, 543, 20898, 909, 585, 513, 2212, 1293, 269, 2311, 519, 1482, 942, 267, 1034, 540, 519, 22651, 3459, 741, 3232, 6296, 540, 3635, 269, 654, 5893, 532, 782, 713, 941, 4787, 879, 779, 10703, 4705, 2367, 563, 11900, 728, 519, 595, 268, 5325, 338, 267, 23580, 2401, 779, 2367, 941, 10992, 741, 3937, 543, 1612, 778, 1393, 10244, 525, 835, 2063, 942, 607, 789, 11542, 7996, 547, 7914, 269, 23580, 2401, 267, 519, 7914, 24490, 538, 519, 1291, 8484, 267, 10709, 539, 856, 519, 8484, 7450, 543, 13761, 547, 1294, 952, 782, 27858, 941, 5265, 13988, 585, 519, 6749, 269, 2311, 10502, 476, 277, 281, 6812, 267, 4787, 879, 779, 2367, 693, 519, 6749, 7997, 1402, 6244, 3043, 8673, 575, 1066, 3547, 543, 28520, 873, 5196, 519, 2361, 269, 23580, 2401, 1631, 6743, 585, 519, 6749, 7997, 269, 1261, 4718, 3043, 8673, 3915, 12976, 909, 689, 519, 2666, 9789, 5692, 729, 593, 563, 11900, 728, 519, 7890, 3786, 519, 31852, 4862, 543, 1287, 4718, 519, 1970, 1922, 2391, 8484, 1935, 269, 2353, 540, 513, 6727, 267, 1612, 778, 2373, 3459, 11423, 519, 6607, 269, 6276, 645, 622, 2006, 267, 513, 476, 736, 4458, 6040, 26956, 267, 15422, 281, 968, 2171, 782, 2219, 713, 1131, 581, 519, 2063, 1554, 540, 938, 2729, 267, 602, 649, 1131, 782, 581, 13401, 1848, 1496, 30153, 22651, 1185, 10288, 1082, 540, 519, 14586, 547, 2253, 20857, 1279, 512, 29168, 1175, 3544, 519, 3786, 269, 3509, 31852, 1179, 4327, 602, 519, 512, 29168, 1131, 581, 1031, 585, 2527, 19746, 4609, 20426, 968, 763, 1612, 778, 2373, 986, 1441, 856, 540, 519, 6607, 269, 2311, 1101, 649, 2219, 789, 941, 21177, 1426, 538, 519, 3786, 269, 3973, 649, 7691, 789, 941, 1977, 7980, 269, 1284, 586, 8215, 543, 3458, 3139, 543, 546, 2331, 609, 7772, 3034, 20597, 879, 779, 9093, 28234, 20553, 519, 8805, 267, 918, 3739, 7102, 5545, 2871, 1841, 1358, 7402, 11323, 563, 9617, 3544, 519, 3786, 267, 4787, 879, 779, 2367, 7283, 6456, 2394, 789, 4718, 519, 1101, 1612, 778, 1393, 269, 3973, 789, 8118, 909, 593, 519, 22651, 2059, 519, 15943, 269, 1280, 827, 476, 1428, 3764, 267, 519, 11028, 18590, 3196, 14213, 539, 10788, 7901, 525, 267, 536, 6064, 619, 267, 543, 9856, 20610, 269, 12928, 12177, 856, 519, 1292, 10766, 267, 4787, 879, 779, 2367, 10443, 883, 519, 3786, 267, 11318, 1022, 5545, 22651, 789, 11402, 563, 3528, 476, 278, 281, 1428, 267, 23580, 2401, 1185, 1010, 2367, 19632, 543, 3001, 4724, 519, 3786, 269, 10738, 3764, 789, 1185, 7166, 1082, 540, 519, 22651, 945, 1185, 6836, 547, 2196, 2476, 269, 1306, 23580, 2401, 779, 2367, 9411, 519, 7623, 267, 789, 8678, 609, 4787, 879, 779, 1895, 543, 3459, 547, 6968, 1524, 519, 6967, 22651, 563, 4002, 20698, 10044, 632, 7345, 267, 26990, 612, 779, 19917, 1190, 6241, 678, 14217, 11849, 648, 693, 4010, 476, 278, 993, 267, 1318, 593, 8430, 269, 26990, 612, 771, 6312, 3481, 595, 7577, 31023, 547, 3715, 513, 4155, 23026, 2282, 519, 4884, 540, 11968, 13391, 10722, 657, 269, 589, 7577, 729, 2366, 547, 519, 7532, 547, 1305, 909, 1776, 17527, 2990, 269, 3973, 18279, 7200, 8738, 5142, 779, 667, 23996, 267, 476, 3393, 278, 628, 12197, 3203, 20455, 729, 1055, 2903, 539, 269, 8738, 5142, 1185, 1044, 5618, 539, 1152, 519, 1554, 1354, 676, 4937, 10787, 22641, 267, 519, 6498, 25044, 19524, 269, 10787, 22641, 5143, 8738, 5142, 281, 968, 1607, 5106, 814, 1044, 6854, 5728, 1317, 972, 616, 476, 1015, 267, 1822, 5545, 10136, 1369, 513, 1079, 7146, 8584, 28451, 16923, 14903, 11878, 540, 519, 3786, 269, 2659, 2816, 568, 547, 3625, 873, 609, 707, 6007, 269, 1703, 568, 1152, 835, 1780, 789, 666, 946, 998, 519, 15113, 269, 2142, 2111, 547, 3382, 602, 1780, 609, 782, 2185, 540, 707, 875, 6308, 619, 693, 782, 2053, 3034, 288, 2110, 942, 1310, 519, 15963, 941, 538, 1747, 267, 789, 941, 20590, 593, 3684, 3766, 684, 7158, 7532, 540, 11968, 13391, 10722, 657, 269, 2060, 782, 540, 26990, 612, 779, 2367, 538, 1747, 267, 519, 993, 339, 2350, 338, 8399, 539, 2407, 3432, 267, 827, 476, 1428, 5195, 606, 5662, 267, 4724, 519, 7890, 3786, 563, 12988, 693, 519, 3786, 267, 519, 8165, 4620, 1229, 856, 1310, 827, 476, 736, 3764, 269, 634, 476, 25838, 22651, 1185, 2901, 1044, 7166, 610, 1185, 7307, 547, 2196, 2476, 269, 3502, 835, 540, 519, 476, 273, 267, 15704, 14586, 6862, 1022, 4759, 540, 519, 22215, 3196, 1185, 1044, 20754, 610, 7166, 269, 634, 1152, 13680, 1399, 1185, 1044, 835, 540, 23580, 2401, 779, 2367, 267, 945, 1185, 15354, 1985, 547, 519, 16456, 13475, 1282, 519, 7914, 543, 729, 5679, 18088, 17499, 950, 1010, 2212, 13351, 519, 3950, 563, 305, 684, 3767, 267, 21813, 13536, 2336, 16729, 519, 4323, 267, 14586, 3459, 1750, 1359, 3552, 569, 543, 30870, 741, 5391, 518, 2209, 609, 554, 13903, 267, 21098, 525, 267, 543, 1394, 1606, 331, 6260, 607, 519, 7980, 3459, 547, 3142, 930, 1931, 538, 519, 3786, 269, 2290, 26956, 22551, 539, 267, 968, 14188, 2696, 585, 519, 1612, 520, 549, 641, 619, 269, 2507, 1452, 616, 519, 23109, 1261, 2366, 547, 4688, 721, 17373, 6271, 26956, 267, 513, 7826, 17308, 267, 3459, 547, 7281, 267, 4758, 7064, 585, 519, 5391, 518, 2209, 945, 1185, 8452, 856, 540, 24076, 269, 10374, 569, 267, 513, 1612, 520, 549, 6016, 945, 3357, 4881, 676, 11074, 543, 20109, 519, 17308, 269, 1261, 1767, 267, 968, 28989, 267, 12429, 267, 1100, 942, 585, 19001, 1631, 269, 2507, 1411, 575, 27198, 1205, 14095, 865, 649, 666, 1205, 596, 519, 22946, 856, 3279, 1934, 1354, 811, 808, 2355, 12446, 3034, 2026, 519, 7980, 6836, 547, 10891, 519, 5458, 4254, 540, 17819, 14586, 267, 26990, 612, 779, 993, 339, 2350, 338, 14059, 519, 3786, 269, 634, 9920, 538, 519, 1291, 993, 339, 2350, 1572, 547, 26990, 612, 267, 968, 763, 10766, 779, 6806, 267, 1018, 1058, 594, 798, 9495, 26990, 612, 586, 8215, 1394, 267, 968, 24979, 1662, 998, 519, 2481, 2740, 3364, 17373, 634, 1291, 968, 339, 2350, 892, 9901, 519, 10766, 543, 609, 513, 10978, 267, 1835, 4770, 3280, 13264, 998, 269, 2353, 519, 824, 6472, 4553, 563, 763, 6241, 1500, 922, 1259, 547, 519, 3490, 7615, 543, 7755, 334, 1456, 4610, 269, 1703, 26990, 612, 14754, 513, 6429, 540, 2347, 5127, 4594, 269, 1635, 713, 942, 519, 3003, 3786, 729, 538, 513, 1533, 540, 2698, 11812, 269, 634, 7980, 1223, 711, 7017, 519, 968, 332, 3739, 267, 28617, 267, 543, 29595, 892, 24921, 540, 14586, 543, 1205, 873, 6896, 585, 15205, 5196, 519, 993, 339, 2350, 338, 563, 4263, 476, 278, 281, 3393, 267, 3627, 23580, 2401, 4080, 547, 26990, 612, 269, 1261, 1767, 646, 543, 1010, 2367, 1185, 711, 1044, 2111, 547, 10891, 1022, 14586, 883, 2516, 547, 4452, 5196, 519, 993, 339, 2350, 338, 269, 1703, 729, 1932, 1454, 10539, 269, 1261, 1287, 5143, 26990, 612, 602, 930, 540, 519, 22651, 685, 3046, 13715, 941, 593, 3595, 543, 602, 621, 729, 4929, 1082, 540, 519, 954, 928, 525, 547, 1847, 6619, 540, 519, 3595, 4724, 519, 19632, 993, 339, 2350, 338, 563, 2026, 519, 3764, 8743, 539, 676, 267, 26990, 612, 6368, 4607, 2262, 689, 1010, 17527, 4229, 1394, 2282, 20698, 10044, 632, 7345, 602, 972, 941, 23053, 602, 1804, 10546, 4229, 1522, 581, 1818, 21339, 547, 4323, 519, 11324, 340, 619, 563, 18600, 1944, 602, 519, 8781, 3046, 13715, 1522, 581, 1010, 20778, 267, 26990, 612, 5143, 23580, 2401, 547, 1491, 930, 540, 1010, 2367, 547, 519, 909, 13388, 2427, 540, 519, 3786, 543, 2253, 8731, 4221, 607, 1082, 3046, 13715, 607, 2009, 269, 26990, 612, 2219, 602, 6148, 519, 3463, 689, 3595, 1131, 18663, 519, 14586, 547, 5531, 741, 28378, 543, 2253, 15205, 5196, 519, 993, 339, 2350, 338, 269, 1306, 4166, 607, 23580, 2401, 3459, 8781, 519, 3046, 13715, 267, 968, 1492, 2164, 941, 20498, 1848, 634, 1612, 520, 549, 641, 619, 3459, 547, 1294, 519, 968, 5793, 928, 525, 13248, 856, 540, 741, 2713, 20453, 543, 883, 519, 15205, 1858, 269, 18858, 3591, 3323, 21757, 519, 3046, 13715, 538, 4434, 540, 519, 3595, 543, 3459, 8876, 856, 547, 519, 15205, 1858, 936, 476, 9873, 1004, 945, 941, 1932, 4617, 610, 1932, 7210, 547, 3802, 563, 289, 4026, 612, 729, 14126, 827, 519, 26286, 10406, 14027, 593, 519, 3786, 269, 1261, 1185, 519, 1034, 12517, 18604, 14586, 16041, 1101, 269, 898, 729, 4166, 7805, 602, 519, 993, 339, 2350, 338, 1131, 723, 547, 1118, 1079, 15143, 538, 1931, 547, 17355, 10663, 782, 14586, 543, 7980, 689, 519, 3786, 269, 634, 16999, 31852, 941, 6854, 1394, 538, 2013, 789, 1185, 547, 4339, 741, 1259 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7170, 281, 10435, 23675, 4518, 585, 15526, 281, 8950, 29456, 538, 22798, 16195, 692, 7072, 912, 5970, 596, 2479, 2219, 827, 875, 5904, 666, 948, 1004, 945, 2661, 2484, 2476, 689, 2462, 4872, 543, 2413, 10506, 286, 769, 713, 3184, 267, 649, 786, 2263, 875, 513, 1895, 540, 3173, 1031, 5904, 547, 1711, 513, 2027, 3782, 1062, 1572, 631, 308, 2316, 602, 2337, 1004, 2713, 538, 6552, 2127, 540, 3162, 4000, 1569, 2564, 1416, 811, 3362, 269, 901, 1788, 8711, 519, 2956, 540, 2780, 10333, 910, 1818, 2386, 3025, 267, 1100, 2339, 1141, 789, 2661, 610, 1018, 2591, 789, 3068, 267, 666, 946, 2029, 3927, 780, 4089, 476, 272, 281, 1548, 568, 631, 308, 2316, 888, 5331, 2713, 538, 513, 1507, 8498, 11303, 676, 15113, 543, 7733, 267, 1896, 3108, 2476, 689, 519, 14282, 6413, 269, 1403, 596, 1205, 7210, 267, 621, 1223, 1491, 2395, 1354, 2576, 12116, 596, 543, 2488, 2126, 269, 2334, 781, 1141, 631, 308, 2316, 2501, 538, 256, 898, 6763, 585, 16353, 12124, 543, 24104, 1222, 6176, 3590, 267, 799, 2636, 11923, 543, 7189, 547, 5968, 5911, 8393, 998, 5904, 543, 16389, 1210, 1945, 1572, 519, 5769, 16257, 269, 2060, 631, 308, 2316, 267, 1072, 4600, 666, 3533, 5077, 1142, 824, 267, 2671, 2550, 262, 5638, 267, 543, 1256, 1289, 606, 5605, 592, 766, 952, 2877, 269, 2353, 891, 2934, 616, 2966, 4481, 585, 1004, 2713, 538, 6552, 2127, 609, 3908, 2200, 780, 4089, 476, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 308, 310, 290, 17791, 8234, 281, 19061, 3848, 454, 300, 308, 2316, 7658, 8234, 267, 2052, 345, 32079, 267, 8109, 15729, 19435, 267, 3162, 4000, 454, 347, 12867, 10573, 19365, 667, 269, 570, 27462, 267, 2473, 12994, 320, 966, 340, 5633, 281, 2160, 540, 519, 5375, 15729, 267, 3162, 4000, 2008, 347, 4517, 4319, 31410, 837, 267, 15794, 7236, 595, 2867, 1399, 267, 27722, 9370, 6577, 543, 3798, 7773, 670, 269, 29965, 281, 2160, 540, 15729, 16011, 267, 3162, 4000, 2008, 23277, 584, 2001, 21942, 2433, 2160, 540, 20613, 1731, 6737, 267, 1715, 10215, 2008, 31340, 644, 328, 654, 6856, 557, 671, 281, 5548, 1111, 2160, 540, 5303, 267, 13814, 2008, 25889, 547, 519, 1966, 454, 2690, 2185, 1296, 649, 723, 1044, 12055, 8271, 9687, 631, 308, 2316, 267, 513, 6917, 7658, 8234, 1062, 267, 585, 10506, 543, 19190, 538, 513, 6552, 6917, 851, 540, 519, 8109, 15729, 538, 3162, 4000, 267, 3254, 538, 7612, 476, 272, 630, 290, 2867, 1399, 267, 476, 1220, 276, 282, 595, 2867, 1399, 1696, 620, 1421, 476, 1220, 274, 267, 476, 1220, 275, 320, 282, 31410, 837, 1696, 620, 1421, 476, 1220, 277, 282, 966, 340, 5633, 267, 476, 1220, 277, 282, 966, 340, 5633, 1299, 570, 27462, 267, 476, 1220, 275, 1040, 631, 308, 2316, 6087, 11923, 543, 7189, 547, 946, 513, 12616, 5769, 16257, 2861, 2792, 1062, 547, 2932, 3461, 3277, 23552, 267, 7662, 5605, 592, 766, 2533, 267, 1931, 7727, 543, 3622, 1832, 538, 3346, 609, 835, 1776, 269, 634, 3119, 2146, 15129, 3804, 729, 547, 2061, 11991, 512, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 16966, 2225, 257, 607, 851, 540, 834, 28035, 1315, 5274, 4211, 558, 13459, 19983, 630, 295, 5746, 29215, 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, 7201, 17231, 519, 19440, 16657, 540, 29258, 781, 14297, 2749, 10754, 6013, 513, 6456, 17576, 267, 1141, 2575, 25361, 519, 2011, 543, 17409, 30172, 1055, 519, 6821, 269, 901, 25113, 267, 1634, 607, 519, 2701, 23311, 781, 8866, 267, 568, 1753, 547, 1472, 17288, 1453, 4171, 3237, 616, 27540, 4600, 5275, 1732, 3255, 538, 519, 2462, 2749, 269, 7324, 873, 568, 513, 21183, 855, 5462, 476, 1724, 4458, 6040, 7911, 3957, 670, 7699, 5548, 784, 780, 295, 7699, 5548, 784, 1185, 2760, 2938, 513, 7574, 5234, 1354, 11836, 519, 2701, 23311, 781, 8866, 269, 1261, 17388, 547, 1832, 909, 7620, 267, 8384, 607, 1010, 9905, 8604, 547, 9787, 2035, 24672, 1247, 646, 7283, 4503, 269, 1717, 267, 5103, 519, 2591, 267, 1945, 1369, 1864, 15189, 547, 2285, 909, 1107, 513, 8141, 5337, 1243, 676, 1010, 13730, 15321, 4116, 267, 19358, 962, 826, 780, 307, 836, 962, 826, 267, 513, 7524, 1164, 1153, 9972, 267, 1336, 1200, 10912, 950, 1352, 1101, 3459, 3450, 693, 519, 4099, 269, 4173, 11428, 695, 821, 998, 1200, 4205, 609, 1142, 2875, 267, 3226, 670, 7699, 5548, 784, 269, 20876, 1010, 6560, 267, 1352, 4956, 547, 6108, 3063, 3108, 4543, 1864, 1174, 11733, 543, 23260, 269, 3414, 9639, 267, 11587, 267, 543, 18094, 267, 19358, 962, 826, 7307, 547, 2490, 670, 7699, 5548, 784, 781, 10539, 883, 7279, 780, 3080, 1554, 267, 1282, 513, 1895, 2259, 8400, 267, 670, 7699, 5548, 784, 18390, 6659, 1010, 1688, 547, 2307, 513, 2243, 827, 513, 1950, 7574, 4062, 789, 941, 1565, 269, 3571, 15032, 5828, 547, 1413, 693, 1864, 267, 14281, 676, 1010, 6727, 15131, 269, 22628, 713, 267, 19358, 962, 826, 20493, 27145, 267, 19825, 875, 2484, 646, 1185, 2097, 2094, 1010, 3355, 11688, 2787, 269, 898, 7012, 1405, 1279, 1354, 824, 1053, 3323, 16042, 670, 7699, 5548, 784, 585, 948, 1932, 267, 9301, 1010, 3395, 17117, 936, 2575, 3069, 780, 4913, 267, 711, 782, 2984, 693, 519, 2701, 23311, 781, 8866, 941, 4904, 609, 971, 25273, 269, 6271, 1762, 2875, 267, 9149, 2725, 328, 267, 5185, 10792, 19178, 1394, 1753, 1813, 547, 1200, 16012, 6612, 585, 7544, 269, 1879, 1352, 14578, 14406, 12129, 1317, 540, 10543, 5049, 267, 7440, 1671, 4240, 1063, 1200, 543, 1200, 13110, 3993, 267, 513, 12051, 11832, 945, 18923, 12236, 2614, 547, 3049, 741, 1920, 269, 6736, 1620, 519, 1871, 540, 29599, 2238, 267, 9149, 2725, 328, 781, 3993, 7948, 1405, 11716, 519, 8833, 593, 741, 2907, 9395, 6578, 780, 8450, 532, 713, 4835, 4655, 267, 18681, 962, 747, 7776, 267, 13653, 540, 519, 2701, 23311, 781, 8866, 267, 22283, 538, 269, 2991, 7234, 2009, 3435, 609, 9149, 2725, 328, 781, 3993, 267, 789, 8815, 602, 519, 4099, 1131, 1683, 6980, 585, 9149, 2725, 328, 267, 4180, 1352, 9327, 1405, 979, 17237, 543, 1574, 532, 930, 2883, 11411, 269, 9282, 4101, 267, 3871, 899, 9149, 2725, 328, 781, 12006, 519, 2956, 540, 2146, 1489, 543, 9316, 780, 12988, 693, 519, 2295, 540, 519, 2701, 23311, 781, 8866, 267, 670, 7699, 5548, 784, 6368, 9787, 539, 519, 1523, 540, 2542, 6656, 2575, 269, 2060, 7772, 726, 770, 1229, 2066, 1010, 3068, 267, 646, 9684, 539, 19358, 962, 826, 1527, 2224, 569, 269, 769, 3210, 267, 19358, 962, 826, 8806, 18056, 1864, 267, 834, 8855, 267, 1967, 3085, 1405, 2097, 16074, 269, 5901, 8026, 267, 3251, 8049, 267, 543, 1034, 11932, 267, 2972, 707, 3460, 609, 2575, 15323, 7437, 16177, 543, 7104, 3646, 267, 519, 2701, 23311, 781, 8866, 4797, 14762, 896, 519, 13617, 540, 519, 29258, 808, 24926, 336, 1014, 21816, 17621, 4741, 269, 3962, 1126, 781, 2189, 1650, 6039, 607, 513, 12576, 540, 519, 13710, 1379, 540, 6575, 2069, 267, 11744, 602, 1256, 9624, 14488, 267, 4126, 1223, 21707, 18991, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 14881, 6415, 2921, 513, 1449, 543, 723, 547, 7058, 519, 1318, 2626, 547, 519, 2243, 1310, 519, 2376, 269, 9137, 281, 5620, 596, 2479, 2938, 513, 7260, 1572, 834, 634, 932, 7546, 27258, 257, 263, 28843, 9563, 3738, 286, 763, 3943, 7260, 6645, 519, 1650, 540, 513, 1895, 540, 562, 2795, 1399, 8695, 945, 1451, 2575, 689, 513, 6131, 476, 4116, 269, 769, 29258, 267, 972, 568, 849, 513, 1895, 540, 1453, 1565, 2575, 269, 1809, 741, 1650, 568, 513, 3787, 1114, 269, 634, 7574, 1895, 267, 834, 9515, 17731, 1091, 262, 8866, 257, 2073, 729, 8547, 476, 676, 519, 29258, 808, 24926, 336, 1014, 21816, 17621, 4741, 269, 1703, 616, 827, 476, 2412, 1053, 538, 713, 1895, 269, 4256, 3237, 616, 20404, 476, 2324, 538, 29258, 269, 834, 634, 2575, 6030, 616, 1863, 2437, 1767, 18681, 962, 747, 7776, 267, 13653, 540, 519, 1895, 269, 834, 2171, 1175, 1616, 547, 1118, 519, 1453, 781, 2729, 811, 10477, 1701, 634, 3214, 1451, 13465, 267, 15472, 543, 7574, 7405, 269, 4256, 3610, 616, 13538, 689, 1164, 3506, 269, 4804, 2575, 568, 711, 606, 2653, 2816, 267, 2523, 585, 891, 27540, 4600, 262, 1453, 269, 834, 296, 2760, 917, 519, 7574, 588, 1511, 476, 1354, 2437, 1767, 670, 7699, 5548, 784, 267, 476, 1724, 269, 834, 15919, 621, 729, 2731, 2182, 547, 1353, 1701, 19358, 962, 826, 568, 513, 15321, 4116, 9232, 692, 763, 1650, 1058, 11200, 998, 519, 3197, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 269, 634, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 6092, 5149, 281, 17030, 776, 5516, 910, 1975, 15105, 2696, 781, 6478, 3414, 11146, 543, 8081, 692, 7072, 912, 5970, 596, 2479, 2219, 827, 875, 1004, 1451, 827, 8567, 286, 2755, 930, 949, 3605, 621, 998, 2835, 610, 2228, 2200, 267, 1082, 1866, 5873, 519, 5048, 840, 3737, 676, 28773, 945, 2951, 2282, 543, 2484, 547, 2671, 741, 5132, 269, 1717, 267, 1373, 513, 29966, 666, 581, 4101, 256, 2334, 781, 1141, 17030, 776, 5516, 2501, 538, 269, 2913, 781, 2263, 713, 1271, 2460, 540, 4168, 18591, 1927, 2439, 4089, 476, 272, 281, 1548, 568, 17030, 776, 5516, 888, 5331, 1373, 513, 29966, 538, 513, 4914, 2244, 267, 3843, 707, 1655, 547, 3262, 2696, 781, 2648, 1247, 15268, 547, 513, 4625, 1114, 2528, 269, 898, 1522, 1745, 11566, 267, 1318, 286, 3767, 4605, 2576, 5885, 602, 29966, 609, 19015, 267, 5796, 267, 543, 948, 20196, 781, 1018, 649, 1289, 17030, 776, 5516, 256, 1635, 12391, 585, 938, 28773, 267, 649, 2327, 789, 616, 1134, 9280, 547, 798, 741, 2816, 3927, 543, 2611, 2635, 267, 1312, 9308, 543, 15508, 780, 7078, 281, 3807, 899, 9845, 991, 19393, 547, 3391, 873, 2509, 1967, 267, 28773, 7048, 593, 18793, 1394, 1753, 547, 10575, 3424, 543, 7668, 873, 538, 741, 5289, 3460, 780, 4089, 476, 273, 281, 4208, 568, 17030, 776, 5516, 12830, 888, 2691, 28773, 3068, 2591, 971, 607, 1893, 7496, 267, 2686, 3604, 267, 610, 1256, 20420, 267, 2348, 2178, 1489, 1949, 666, 1118, 782, 519, 3017, 269, 1452, 15637, 2709, 3929, 6617, 267, 3850, 28773, 547, 1445, 593, 4687, 741, 4978, 2864, 982, 7231, 609, 2123, 9620, 4805, 269, 3958, 267, 12391, 585, 28773, 2337, 2226, 1279, 3856, 7029, 267, 4180, 11007, 1369, 2950, 8391, 5351, 780, 12244, 281, 30449, 909, 543, 16540, 2081, 596, 1223, 1683, 3929, 1489, 547, 2576, 6849, 7965, 269, 9181, 875, 891, 1983, 4019, 950, 5356, 17030, 776, 5516, 780, 4089, 476, 274, 281, 7756, 22553, 540, 17030, 776, 5516, 454, 2467, 3884, 1405, 1175, 835, 1259, 547, 1397, 1489, 282, 1585, 3029, 8597, 547, 1367, 2115, 269, 2368, 1455, 2409, 1331, 11755, 5121, 267, 2883, 6351, 267, 13508, 2533, 267, 543, 3872, 2326, 269, 5015, 267, 2792, 2645, 1450, 15637, 547, 3251, 4448, 609, 28773, 13383, 267, 5807, 3347, 3710, 593, 3972, 543, 1620, 780, 7078, 281, 6056, 540, 707, 5172, 4116, 610, 16455, 269, 1358, 2693, 3177, 5583, 267, 16268, 5955, 267, 543, 6148, 1256, 3838, 11121, 2984, 269, 6684, 267, 1346, 3238, 538, 17030, 776, 5516, 946, 2147, 2994, 547, 5000, 543, 18663, 28773, 780, 6962, 912, 28885, 17030, 776, 5516, 883, 3909, 2090, 2636, 721, 547, 1174, 1732, 519, 15491, 2470, 540, 13485, 269, 1306, 2104, 3401, 267, 1565, 875, 547, 20741, 543, 1416, 585, 28773, 786, 7794, 938, 1378, 2078, 609, 5132, 543, 6536, 2208, 1851, 8284, 10271, 5001, 269, 8625, 267, 1577, 781, 3136, 3695, 824, 4241, 3344, 540, 4168, 12080, 256, 0, 2080 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 329, 17989, 476, 273, 267, 14695, 6398, 476, 273, 267, 278, 4817, 282, 476, 4510, 280, 22995, 4168, 7101, 747, 27970, 476, 272, 267, 280, 4510, 6398, 476, 273, 267, 30020, 282, 476, 272, 269, 2420, 15406, 29725, 6883, 519, 6551, 3101, 630, 4366, 279, 28091, 3393, 273, 274, 1040, 329, 17989, 476, 4200, 278, 6398, 476, 277, 4792, 282, 476, 13970, 22995, 645, 1409, 787, 269, 4826, 322, 12973, 610, 9055, 7258, 610, 3844, 547, 519, 1183, 601, 610, 1183, 15625, 267, 998, 799, 1216, 1223, 8963, 883, 519, 6802, 1134, 269, 589, 6094, 8720, 540, 4496, 610, 3574, 267, 547, 2149, 26083, 338, 689, 7286, 1272, 610, 535, 537, 1782, 267, 610, 547, 24644, 543, 2149, 2627, 1570, 4294, 585, 602, 3483, 269, 6423, 849, 25906, 7171, 1286, 767, 269, 630, 335, 269, 476, 8099, 278, 1040, 717, 268, 274, 1040, 717, 268, 280, 333, 1040, 634, 2212, 267, 610, 17119, 640, 267, 540, 513, 6989, 16025, 269, 589, 2545, 935, 344, 15841, 2066, 519, 29523, 269, 589, 2062, 7146, 8584, 1111, 25194, 16025, 4171, 24933, 729, 535, 26359, 547, 519, 4464, 2865, 18085, 7406, 543, 799, 18674, 519, 6367, 540, 513, 1804, 267, 5180, 1532, 15735, 6077, 282, 17761, 572, 4773, 941, 865, 3957, 1317, 519, 17761, 572, 9475, 941, 13148, 2759, 998, 873, 269, 20514, 1496, 295, 1638, 3515, 4940, 654, 1222, 560, 3530, 630, 8993, 269, 28644, 540, 519, 18085, 14604, 543, 535, 26359, 547, 873, 267, 538, 1804, 5180, 1532, 15735, 8043, 267, 941, 519, 14604, 4881, 6252, 547, 519, 1183, 601, 543, 6565, 267, 3006, 1572, 5679, 22976, 4626, 1499, 282, 811, 8308, 267, 891, 941, 519, 17761, 572, 4773, 543, 27585, 9843, 267, 519, 8545, 1373, 519, 14604, 11105, 547, 519, 3284, 1258, 610, 6565, 1606, 517, 602, 6905, 1657, 519, 16064, 547, 1106, 3787, 1206, 543, 1489, 519, 536, 3298, 335, 761, 269, 7352, 3585, 267, 513, 2110, 267, 6659, 2062, 1372, 1188, 267, 519, 4464, 851, 540, 519, 5580, 16064, 1063, 519, 2062, 332, 770, 543, 519, 6565, 267, 610, 519, 20453, 2630, 519, 2062, 1372, 1188, 269, 589, 16025, 15841, 6622, 342, 11301, 4721, 547, 1489, 1232, 802, 543, 1683, 14694, 4222, 282, 1804, 20832, 941, 3006, 1572, 536, 4954, 802, 269, 717, 268, 1691, 1040, 717, 268, 280, 1040, 589, 1665, 3954, 7627, 519, 4087, 610, 30908, 540, 513, 10775, 7171, 610, 10627, 1084, 269, 715, 5535, 532, 1899, 269, 3223, 767, 2212, 269, 23052, 1457, 16405, 630, 8993, 269, 4425, 1846, 342, 664, 2433, 25460, 6407, 834, 321, 657, 684, 2437, 4016, 547, 519, 19898, 267, 15549, 11464, 267, 610, 4620, 1399, 11464, 538, 5279, 540, 16996, 267, 6551, 3101, 267, 543, 2666, 10994, 20829, 6928, 269, 634, 3178, 547, 799, 513, 26083, 568, 27153, 282, 849, 267, 513, 5373, 610, 1544, 269, 570, 2240, 841, 1496, 307, 14725, 6773, 267, 570, 1066, 2522, 316, 630, 8993, 338, 269, 645, 924, 1496, 289, 10560, 630, 680, 4700, 4940, 27124, 1134, 1496, 306, 2794, 316, 630, 8993, 269, 4746, 267, 513, 2165, 1031, 547, 1374, 622, 519, 9133, 540, 606, 19671, 13869, 269, 25906, 27512, 1496, 305, 756, 19490, 267, 645, 3430, 839, 4940, 634, 2101, 1098, 558, 267, 15841, 593, 519, 6418, 29523, 14006, 267, 799, 4646, 519, 5748, 585, 519, 4831, 543, 29523, 269, 2290, 811, 2262, 540, 13657, 269, 589, 17208, 4062, 1063, 519, 4464, 1439, 540, 519, 1183, 601, 543, 519, 12597, 540, 519, 2212, 282, 519, 17680, 701, 269, 634, 5580, 13980, 540, 519, 7522, 7475, 540, 513, 6077, 282, 11855, 14350, 538, 930, 6054, 607, 2062, 701, 752, 543, 1310, 701, 752, 269, 634, 6366, 851, 540, 519, 25229, 1457, 602, 11651, 1206, 519, 1216, 269, 1284, 666, 6928, 6551, 3101, 543, 521, 5661, 10591, 9170, 269, 589, 16064, 4881, 11179, 689, 6367, 547, 29523, 267, 1510, 9397, 610, 6659, 2609, 269, 7352, 3585, 267, 519, 5580, 851, 540, 519, 29523, 610, 519, 7841, 593, 1283, 540, 519, 29523, 269, 589, 6659, 8473, 693, 519, 6316, 540, 513, 24011, 4171, 1599, 729, 547, 2061, 1216, 689, 10024, 519, 2230, 2630, 269, 898, 779, 2356, 513, 7299, 6676, 610, 513, 4604, 13883, 693, 519, 29523, 540, 519, 6077, 269, 769, 1034, 2665, 267, 3662, 4552, 267, 15144, 267, 610, 21263, 729, 865, 8898, 538, 12334, 610, 18300, 543, 9788, 538, 513, 561, 5024, 524, 913, 267, 799, 729, 2759, 538, 519, 2539, 3330, 2627, 540, 519, 20718, 28506, 269, 1546, 1188, 13622, 269, 717, 268, 1556, 1040, 634, 13570, 610, 26654, 538, 519, 5377, 540, 513, 26083, 267, 2356, 2282, 993, 1749, 4721, 267, 1141, 21536, 613, 4248, 6394, 543, 689, 799, 621, 729, 29253, 856, 610, 536, 9229, 269, 717, 268, 278, 320, 1040, 31167, 613, 12545, 269, 9454, 8208, 1154, 630, 8993, 269, 717, 268, 1321, 324, 1040, 594, 723, 873, 593, 1250, 28632, 910, 10464, 1259, 547, 979, 910, 543, 2059, 609, 1990, 340, 3933, 26709, 781, 1433, 543, 1866, 723, 1034, 540, 519, 4267, 547, 1022, 2243, 596, 1522, 723, 827, 6551, 3101, 269, 634, 1858, 540, 519, 26083, 779, 5377, 593, 799, 621, 1131, 1964, 952, 16135, 282, 3622, 267, 519, 9018, 1439, 540, 519, 6989, 269, 623, 3558, 1496, 307, 541, 4940, 634, 19976, 4745, 1063, 1079, 4626, 1499, 610, 1544, 802, 282, 519, 2165, 2356, 4016, 547, 1544, 6362, 694, 4461, 267, 519, 19976, 5104, 868, 777, 3789, 540, 519, 8728, 540, 1544, 802, 538, 519, 5011, 610, 1232, 802, 267, 799, 941, 1500, 1216, 31259, 269, 7612, 717, 268, 273, 269, 717, 268, 276, 1040, 16503, 3603, 3794, 27443, 540, 26676, 543, 4425, 520, 16301, 267, 27511, 281, 16503, 3603, 3794, 27443, 540, 26676, 543, 4425, 520, 16301, 267, 1496, 763, 1739, 11609, 29395, 1101, 7902, 538, 922, 30810, 538, 8381, 523, 26676, 8490, 543, 519, 28604, 540, 26676, 342, 516, 4242, 267, 676, 808, 269, 9400, 6008, 27918, 630, 1960, 275, 1040, 717, 268, 1015, 1040, 634, 10539, 11498, 547, 2413, 12326, 269, 634, 15958, 568, 6462, 676, 13978, 543, 695, 709, 1091, 602, 616, 1634, 607, 519, 7555, 6551, 3101, 1317, 789, 616, 4144, 21192, 25194, 269, 717, 268, 274, 1040, 13158, 902, 616, 7150, 538, 2110, 9748, 630, 273, 267, 1822, 7273, 4700, 634, 6077, 729, 1416, 2989, 610, 3819, 323, 18088, 547, 1685, 713, 4305, 269, 22388, 4626, 1499, 630, 8993, 338, 269, 25511, 1636, 25194, 269, 634, 1152, 6551, 3101, 1031, 607, 7555, 6551, 3101, 543, 594, 3494, 594, 849, 6551, 3022, 519, 4858, 806, 607, 1134, 269, 2142, 767, 630, 8993, 269, 634, 15958, 568, 6462, 676, 13978, 543, 695, 709, 1091, 602, 616, 1634, 607, 519, 7555, 6551, 3101, 1317, 789, 616, 1500, 3728, 282, 519, 695, 709, 1091, 849, 4196, 607, 561, 5417, 619, 547, 11863, 519, 12284, 547, 2560, 6423, 17934, 12597, 269, 589, 1907, 1031, 585, 19309, 9475, 269, 589, 2110, 28506, 17332, 1063, 1079, 2269, 7719, 540, 1544, 6362, 865, 602, 519, 2834, 2269, 7719, 1705, 711, 723, 547, 581, 1500, 1932, 2647, 282, 2356, 4092, 693, 519, 6367, 610, 29523, 7475, 540, 5377, 610, 2539, 2427, 2269, 7719, 269, 634, 2627, 540, 513, 28506, 6772, 11474, 676, 513, 7023, 568, 1572, 513, 2244, 267, 543, 713, 5595, 11098, 568, 7363, 4371, 1927, 609, 5702, 22274, 678, 633, 1206, 610, 18969, 804, 523, 3481, 936, 4496, 729, 1667, 1572, 887, 1407, 269, 27718, 3138, 1111, 269, 589, 12597, 1500, 689, 4401, 6676, 269, 674, 18636, 1442, 28506, 269, 634, 8833, 593, 513, 26083, 602, 3123, 922, 7475, 547, 5323, 641, 269, 589, 12597, 610, 12597, 11057, 2497, 267, 6378, 547, 519, 4464, 2627, 540, 519, 6565, 267, 602, 4646, 519, 2759, 4248, 693, 922, 2539, 1439, 543, 6462, 519, 2212, 571, 2812, 543, 4137, 3650, 693, 922, 5580, 1439, 269, 1703, 568, 513, 3099, 540, 13743, 4566, 602, 4412, 601, 22892, 9635, 267, 14139, 4009, 268, 3419, 3022, 610, 2062, 7146, 8584, 1111, 521, 5661, 269, 4746, 267, 538, 1585, 2053, 543, 4025, 267, 519, 2012, 2016, 547, 519, 26627, 25958, 6024, 2269, 651, 540, 2427, 1544, 6362, 610, 519, 5580, 6316, 540, 519, 26627, 25958, 2269, 651, 269, 634, 6173, 725, 540, 519, 25568, 540, 519, 6989, 4626, 1499, 543, 4666, 6229, 338, 282, 538, 1034, 2665, 267, 519, 17208, 1899, 4646, 676, 519, 5377, 540, 519, 1183, 15625, 267, 11710, 517, 267, 543, 10322, 985, 517, 269, 10158, 269, 3143, 2339, 1141, 596, 616, 267, 715, 766, 1299, 7201, 6229, 786, 2141, 581, 1934, 547, 4217, 596, 269, 19402, 519, 1647, 540, 519, 10120, 1974, 267, 519, 2259, 729, 547, 4410, 678, 3291, 619, 593, 835, 610, 1312, 29523, 20453, 282, 891, 941, 1634, 607, 10116, 678, 3291, 619, 269, 11288, 543, 22892, 1063, 2798, 538, 519, 1482, 2197, 269, 1358, 941, 9247, 1279, 19704, 9788, 607, 3368, 20832, 269, 3220, 3424, 30021, 269, 589, 5110, 762, 11237, 602, 6462, 519, 24011, 3382, 543, 3177, 14694, 4222, 950, 519, 24011, 729, 711, 538, 946, 269, 595, 13715, 9648, 1282, 27955, 616, 849, 5219, 547, 607, 11974, 269, 4077, 2917, 17587, 630, 8993, 269, 623, 29888, 1726, 523, 5661, 941, 4122, 1031, 593, 519, 16538, 26083, 7252, 540, 3504, 9635, 547, 2061, 24694, 543, 24590, 540, 519, 1544, 802, 1472, 519, 3728, 523, 902, 269, 1323, 6679, 538, 519, 29523, 998, 799, 519, 25229, 1457, 6006, 5293, 269, 2480, 583, 1479, 269, 589, 7299, 610, 16057, 268, 2017, 1324, 16025, 610, 10198, 540, 4626, 1499, 22283, 883, 267, 610, 10077, 325, 539, 547, 267, 519, 1310, 1439, 540, 519, 1183, 601, 610, 24933, 269, 717, 268, 1321, 325, 1040, 634, 18535, 4390, 540, 513, 6077, 269, 25745, 2212, 630, 8993, 269, 1744, 648, 269, 589, 4496, 6676, 1031, 547, 6443, 1079, 4626, 1499, 608, 27238, 269, 589, 7299, 23376, 11573, 602, 28263, 519, 8868, 282, 621, 729, 4448, 547, 519, 11489, 518, 676, 513, 547, 24327, 11460, 267, 543, 621, 729, 15841, 538, 513, 12946, 593, 519, 16064, 1657, 519, 11489, 518, 269, 717, 268, 274, 1040, 634, 18874, 779, 26654, 282, 519, 7210, 15922, 269, 22955, 610, 3515, 2759, 883, 267, 610, 7923, 547, 267, 519, 6565, 543, 29523, 14006, 547, 5815, 519, 3178, 693, 799, 1142, 1439, 540, 519, 26083, 568, 27153, 269, 6423, 4741, 4580, 269, 717, 268, 278, 320, 1040, 630, 335, 269, 476, 9340, 272, 264, 476, 1704, 267, 476, 866, 267, 543, 476, 3066, 282, 717, 268, 278, 320, 267, 717, 268, 278, 321, 267, 717, 268, 278, 322, 267, 543, 717, 268, 278, 324, 1040, 1323, 16070, 22882, 540, 1079, 1544, 802, 610, 4626, 1499, 269, 1546, 4242, 543, 824, 20499, 282, 513, 12432, 17250, 267, 711, 11347, 540, 513, 1880, 6077, 269, 1773, 21403, 630, 8993, 269, 6423, 16890, 269, 3220, 3424, 269, 717, 268, 1691, 324, 543, 717, 268, 1704, 1040, 654, 691, 1496, 289, 1601, 4940, 15519, 3101, 13408, 519, 1062, 540, 887, 6647, 267, 15791, 543, 11800, 267, 799, 1489, 513, 22892, 6928, 610, 13743, 10935, 781, 544, 6814, 1765, 9227, 6551, 3101, 267, 1519, 695, 709, 1091, 543, 13978, 11652, 799, 4188, 519, 2990, 540, 519, 6077, 781, 521, 5661, 543, 838, 1513, 547, 799, 789, 616, 7923, 9789, 4881, 6551, 3101, 267, 1519, 554, 3315, 1841, 267, 25329, 267, 9212, 543, 642, 836, 338, 269, 26054, 269, 717, 268, 1556, 320, 1040, 589, 2489, 2165, 585, 887, 6647, 543, 15791, 269, 589, 1183, 601, 602, 568, 17208, 1279, 2595, 3373, 865, 602, 621, 568, 4514, 693, 922, 1647, 982, 693, 922, 7475, 269, 26121, 15519, 3101, 30557, 15519, 3101, 7720, 1681, 909, 901, 4016, 547, 782, 519, 1847, 762, 3515, 602, 616, 1031, 547, 7485, 909, 543, 4188, 519, 521, 5661, 269, 589, 1804, 6676, 267, 610, 10198, 540, 4626, 1499, 267, 15841, 593, 519, 2427, 540, 513, 26083, 543, 22485, 950, 22892, 1055, 519, 2842, 547, 2333, 14694, 4187, 543, 2569, 682, 1168, 599, 269, 932, 848, 2823, 269, 717, 268, 1704, 1040, 8771, 6565, 269, 589, 22892, 6928, 568, 513, 4262, 268, 4707, 6077, 602, 3096, 521, 5661, 15841, 593, 544, 6814, 547, 10244, 519, 1379, 540, 2842, 543, 4412, 601, 519, 6077, 269, 1744, 9613, 269, 645, 4193, 2269, 7719, 630, 8993, 269, 28024, 326, 630, 8993, 338, 269, 1280, 513, 2688, 2262, 3406, 2824, 11628, 9612, 269, 645, 1409, 1845, 941, 2356, 15841, 538, 519, 9472, 548, 267, 4352, 789, 3006, 7902, 2282, 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 ]
[ 11681, 540, 5395, 613, 328, 631, 16554, 841, 990, 747, 1160, 330, 644, 514, 8566, 832, 5652, 267, 593, 519, 31704, 565, 1235, 330, 8932, 5211, 267, 476, 4489, 273, 454, 288, 8496, 6652, 320, 538, 6341, 1046, 663, 267, 2235, 320, 476, 4489, 273, 454, 763, 22810, 540, 30709, 3481, 534, 538, 772, 1537, 15142, 267, 476, 4489, 273, 454, 763, 4571, 268, 1240, 628, 2540, 27076, 3933, 2120, 344, 538, 14977, 18210, 267, 476, 4489, 273, 454, 307, 656, 531, 2358, 569, 267, 646, 554, 573, 513, 18797, 610, 865, 2681, 10824, 540, 519, 4936, 990, 338, 855, 2760, 31889, 1141, 630, 2865, 2693, 538, 853, 22642, 7921, 264, 1358, 949, 2943, 2627, 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 ]
[ 540, 519, 1032, 3280, 532, 856, 1913, 563, 29613, 958, 267, 707, 1126, 13788, 9656, 6616, 1034, 540, 519, 4484, 4408, 543, 930, 540, 519, 4992, 269, 901, 568, 1317, 707, 1126, 779, 4116, 1522, 1847, 1360, 3533, 998, 519, 4992, 543, 930, 3214, 991, 811, 942, 563, 3528, 4571, 4458, 538, 9656, 267, 707, 1126, 1058, 581, 3280, 532, 856, 1913, 899, 912, 3528, 519, 1439, 540, 519, 9656, 1032, 267, 707, 1126, 1058, 581, 2542, 1614, 3280, 1913, 3362, 269, 1452, 1913, 616, 1572, 22008, 290, 1913, 543, 1413, 899, 713, 912, 25585, 568, 3280, 532, 856, 1913, 1271, 888, 12626, 568, 513, 13093, 2045, 543, 10641, 11043, 1893, 563, 306, 15929, 856, 568, 1271, 1317, 621, 779, 513, 1259, 547, 2736, 519, 3009, 563, 12626, 849, 3096, 2849, 335, 1335, 525, 267, 610, 519, 10545, 2694, 540, 1913, 602, 4163, 2495, 563, 1607, 568, 1946, 519, 5022, 968, 539, 892, 1611, 1945, 5949, 538, 519, 2250, 267, 1256, 1498, 621, 666, 2099, 1614, 1114, 4992, 912, 268, 1315, 339, 270, 899, 3786, 539, 454, 268, 1315, 323, 270, 899, 536, 27419, 454, 268, 1315, 573, 270, 899, 2842, 539, 454, 1692, 798, 596, 4001, 3280, 532, 856, 1913, 888, 5575, 267, 707, 1126, 2115, 547, 3280, 856, 519, 5022, 563, 5629, 789, 666, 8850, 6474, 4992, 547, 930, 5022, 267, 789, 666, 1376, 676, 3280, 532, 856, 1913, 13093, 13443, 563, 7069, 5172, 1259, 547, 798, 713, 568, 547, 946, 519, 1482, 4484, 6486, 630, 21406, 13093, 6945, 6486, 264, 602, 594, 946, 950, 3450, 4484, 4992, 563, 1607, 1259, 707, 1126, 13462, 519, 4992, 689, 519, 6486, 547, 519, 4992, 538, 1913, 563, 5629, 707, 1126, 6487, 513, 19625, 540, 4992, 267, 789, 666, 1224, 513, 19619, 540, 1913, 563, 2690, 1383, 267, 952, 707, 1126, 6487, 519, 4992, 513, 267, 522, 267, 512, 267, 562, 267, 521, 267, 544, 267, 789, 666, 3280, 856, 13093, 13443, 912, 3963, 798, 3214, 6560, 609, 3280, 532, 856, 1913, 888, 2467, 616, 1614, 1292, 4128, 1946, 1453, 6560, 547, 3280, 856, 1913, 13093, 13443, 912, 268, 670, 13273, 1406, 1044, 18113, 6026, 454, 268, 2296, 5678, 22996, 454, 268, 21619, 21685, 610, 1776, 1565, 1966, 454, 295, 13273, 1406, 1044, 6026, 454, 5278, 1453, 3274, 10093, 1406, 1044, 6026, 875, 547, 3280, 856, 1913, 538, 1153, 269, 3509, 3506, 1869, 946, 606, 1935, 1572, 7195, 2331, 17402, 563, 21156, 540, 18928, 3450, 18551, 1900, 8386, 9912, 267, 1453, 616, 6026, 538, 513, 811, 688, 874, 1794, 731, 1259, 563, 5445, 616, 9415, 547, 7058, 693, 1913, 1759, 593, 519, 2796, 540, 519, 4845, 267, 519, 5961, 267, 610, 519, 1101, 4484, 563, 2252, 707, 1126, 4422, 547, 513, 1153, 609, 713, 1935, 267, 596, 2461, 2469, 547, 991, 547, 960, 593, 3280, 532, 856, 1913, 693, 1753, 563, 12626, 5678, 22996, 454, 2691, 2296, 3884, 1406, 519, 3119, 1893, 693, 1753, 267, 621, 666, 1491, 930, 6267, 3476, 547, 6474, 519, 4992, 547, 741, 5711, 4633, 563, 1607, 1032, 594, 8068, 1896, 1053, 2655, 23082, 519, 3280, 1315, 339, 270, 585, 1315, 628, 28918, 4256, 3119, 1893, 3085, 1406, 1331, 513, 1315, 628, 270, 3280, 563, 3719, 789, 1185, 8373, 3280, 532, 856, 13093, 13443, 543, 1131, 1224, 968, 321, 520, 892, 585, 968, 321, 987, 1848, 1403, 707, 3119, 1893, 568, 711, 2296, 267, 596, 3580, 1616, 547, 1118, 2386, 596, 666, 3280, 856, 519, 5022, 5265, 1101, 563, 291, 903, 21685, 610, 824, 9659, 454, 6624, 1053, 6560, 547, 3280, 856, 1913, 13093, 13443, 1317, 789, 616, 7988, 2716, 545, 269, 1358, 1522, 711, 723, 1044, 11117, 610, 8995, 2943, 267, 855, 519, 2042, 2611, 563, 4263, 922, 4295, 267, 27577, 568, 513, 8467, 609, 6217, 4992, 538, 9275, 1893, 543, 8840, 6306, 1913, 883, 4992, 563, 5278, 1453, 609, 15860, 11838, 1522, 723, 8373, 1565, 547, 1224, 1317, 13455, 3007, 568, 2182, 269, 11838, 543, 27577, 1419, 1071, 31507, 267, 1498, 269, 1924, 621, 779, 1271, 547, 1205, 513, 1434, 6268, 563, 5415, 6435, 585, 14675, 532, 4934, 9293, 1912, 517, 13443, 888, 296, 4862, 689, 513, 2603, 540, 31908, 945, 4769, 1406, 1745, 6899, 4543, 741, 1453, 1451, 547, 1224, 563, 5445, 4769, 1406, 723, 519, 2596, 1702, 540, 4992, 547, 1205, 3323, 609, 3280, 532, 856, 269, 594, 7948, 1406, 1265, 513, 2866, 602, 594, 8910, 4363, 563, 3383, 594, 1500, 16319, 3427, 547, 948, 3237, 899, 596, 269, 1411, 3580, 1451, 912, 268, 519, 476, 4510, 4992, 538, 2296, 454, 268, 519, 1034, 1455, 2081, 547, 11963, 873, 454, 268, 513, 2241, 6296, 547, 4001, 543, 2689, 519, 4992, 454, 268, 16471, 873, 883, 1913, 454, 268, 875, 547, 4001, 707, 1126, 547, 11963, 873, 0, 310, 8960, 513, 10160, 12966, 814, 1044, 4080, 547, 4688, 811, 2729, 538, 606, 8009, 982, 9849, 1100, 10160, 12966, 563, 8133, 267, 20691, 5957, 10160, 26797, 563, 2171, 5957, 10160, 26797, 585, 1760, 974, 344, 269, 2690, 1383, 950, 596, 1205, 538, 513, 1286, 20739, 1188, 596, 991, 547, 581, 2922, 269, 9827, 865, 519, 7128, 666, 711, 3247, 707, 3158, 610, 19033, 454, 272, 560, 1876, 7553, 454, 8133, 267, 782, 15915, 1590, 5957, 10160, 26797, 454, 8253, 952, 789, 1705, 711, 2097, 689, 519, 12051, 609, 10160, 26797, 269, 1403, 789, 3357, 1106, 519, 12051, 609, 10160, 26797, 596, 616, 2838, 547, 5957, 873, 563, 14399, 909, 547, 1978, 12035, 616, 2838, 547, 581, 538, 1286, 16295, 602, 616, 4371, 538, 1747, 609, 519, 10160, 26797, 538, 1034, 2829, 269, 2991, 789, 3914, 513, 1978, 2597, 267, 789, 616, 2838, 547, 5957, 10160, 26797, 267, 865, 711, 1152, 666, 1453, 5957, 10160, 26797, 267, 1310, 789, 1100, 3476, 616, 2838, 547, 581, 538, 1286, 16295, 267, 789, 616, 2838, 547, 5957, 513, 10160, 12966, 563, 2254, 952, 519, 1286, 729, 711, 8385, 9280, 609, 873, 563, 8133, 789, 798, 563, 32451, 1082, 256, 21009, 519, 7972, 538, 519, 2136, 2276, 616, 3361, 1317, 1004, 798, 711, 5957, 10160, 26797, 563, 5353, 520, 26797, 2149, 596, 689, 519, 1764, 540, 513, 16580, 267, 711, 689, 3432, 610, 10231, 269, 0, 514, 513, 1259, 602, 2982, 30251, 543, 2015, 622, 2543, 585, 2576, 610, 1945, 563, 8794, 31635, 281, 6201, 454, 12648, 513, 4090, 547, 24559, 3054, 609, 875, 834, 27920, 2685, 257, 666, 581, 1031, 538, 1585, 3871, 998, 519, 1739, 1806, 2336, 3891, 31635, 17379, 519, 2709, 563, 296, 31635, 10990, 609, 707, 6644, 563, 9515, 12038, 31635, 547, 1200, 22242, 563, 763, 7980, 11542, 693, 3007, 267, 31635, 7996, 585, 741, 19524, 563, 27920, 2685, 14271, 11618, 543, 4165, 11618, 454, 23087, 281, 31635, 538, 16684, 454, 262, 3725, 338, 1051, 2685, 262, 1496, 337, 22688, 16659, 4944, 389, 505, 19241, 325, 16745, 2993, 316, 568, 606, 30163, 1031, 547, 5815, 30251, 543, 2015, 622, 2543, 585, 2576, 610, 1945, 269, 898, 568, 1419, 1031, 538, 6101, 3871, 267, 971, 607, 950, 19394, 606, 2709, 610, 10990, 532, 609, 2576, 781, 6644, 269, 898, 666, 849, 581, 1031, 547, 4766, 875, 2576, 14753, 547, 741, 22242, 610, 2706, 12542, 267, 607, 538, 1412, 9515, 12038, 31635, 547, 1200, 22242, 9538, 14271, 11618, 1331, 1412, 322, 712, 974, 3585, 262, 543, 1412, 3698, 5166, 6053, 10086, 1247, 1884, 11618, 1331, 1412, 4134, 27920, 2685, 262, 543, 1412, 337, 8775, 569, 9538, 0, 1692, 547, 28161, 513, 6481, 5843, 6798, 6048, 454, 6701, 596, 19832, 676, 519, 18784, 1158, 267, 8049, 827, 875, 14471, 1860, 938, 2729, 267, 543, 6236, 513, 4876, 538, 2564, 2257, 286, 1403, 865, 267, 2564, 8762, 5735, 1522, 581, 519, 3501, 4876, 3903, 585, 596, 2336, 1432, 568, 6481, 31814, 888, 21357, 8762, 5735, 568, 519, 1353, 540, 14471, 1107, 971, 607, 4551, 267, 8290, 267, 13271, 267, 543, 15495, 1107, 543, 875, 789, 1860, 1480, 1072, 269, 901, 2361, 4249, 513, 4105, 1909, 538, 23235, 267, 8156, 267, 543, 7303, 3676, 3361, 676, 14471, 269, 1635, 1620, 519, 1950, 4205, 1063, 891, 18784, 7103, 543, 519, 1480, 1560, 267, 2564, 18117, 5505, 1020, 2994, 547, 8396, 2068, 543, 2087, 2949, 1857, 1072, 563, 3721, 338, 547, 29460, 513, 6481, 5843, 6798, 6048, 454, 3086, 602, 596, 723, 513, 1732, 1620, 540, 519, 2361, 1577, 779, 4685, 883, 519, 1900, 8386, 9912, 1184, 540, 13197, 513, 4876, 538, 2564, 8762, 5735, 563, 272, 269, 13159, 4400, 3427, 610, 513, 717, 3633, 4982, 20884, 454, 2414, 11654, 513, 4876, 538, 2564, 8762, 5735, 267, 596, 3580, 1101, 991, 547, 2347, 1164, 1153, 610, 3489, 513, 717, 3633, 6697, 269, 4438, 713, 942, 267, 1445, 593, 4597, 532, 538, 707, 2257, 543, 6128, 5049, 267, 607, 891, 5396, 786, 1683, 513, 4396, 5748, 585, 707, 2104, 960, 538, 8762, 5735, 563, 273, 269, 5192, 12833, 9407, 454, 3528, 3478, 3238, 538, 29599, 2238, 543, 824, 3292, 1312, 3330, 543, 3544, 540, 1153, 267, 596, 2461, 2111, 547, 5531, 811, 1995, 1369, 519, 2361, 543, 1451, 1247, 2348, 1187, 269, 6423, 952, 707, 1153, 814, 1022, 15731, 610, 2362, 7400, 2257, 6030, 267, 1413, 585, 15321, 3255, 1369, 707, 2146, 630, 3697, 538, 513, 6413, 610, 2978, 1070, 610, 1256, 3914, 856, 547, 513, 2564, 18117, 6048, 2282, 547, 547, 14692, 873, 563, 5194, 1390, 4316, 547, 1205, 3238, 568, 609, 519, 5842, 17630, 8293, 1563, 26665, 3298, 1982, 256, 1403, 596, 2461, 513, 476, 1015, 628, 268, 1321, 628, 3446, 2875, 538, 519, 5842, 17630, 1858, 267, 596, 2461, 10950, 547, 4019, 585, 519, 1032, 17489, 30023, 1982, 268, 1451, 811, 1934, 563, 274, 269, 5136, 1555, 513, 25328, 779, 23422, 538, 513, 31999, 12197, 454, 9202, 267, 596, 3580, 991, 547, 11654, 513, 25328, 779, 4110, 538, 513, 4143, 2361, 971, 607, 7350, 267, 8762, 5735, 267, 610, 1979, 17190, 269, 589, 2178, 2852, 2069, 786, 1683, 596, 609, 513, 4514, 1620, 540, 4909, 2035, 538, 8762, 5735, 543, 5965, 596, 585, 811, 4359, 17440, 538, 519, 2361, 563, 275, 269, 29934, 23958, 3427, 454, 4407, 930, 7127, 7400, 7158, 538, 2564, 8762, 5735, 1522, 1152, 2154, 513, 25328, 779, 4110, 267, 519, 5354, 540, 6009, 1369, 519, 2361, 786, 2154, 2417, 2069, 269, 623, 2720, 5224, 513, 9457, 779, 610, 1912, 6185, 269, 538, 2564, 8762, 5735, 610, 513, 5702, 1644, 2361, 786, 1628, 2390, 707, 15938, 2069, 543, 1020, 707, 6791, 538, 519, 2361, 563, 276, 269, 13159, 7102, 3026, 10354, 12501, 5874, 610, 9751, 454, 27039, 593, 707, 1808, 4876, 3853, 267, 3606, 24501, 610, 2866, 949, 581, 2556, 269, 1280, 1383, 267, 952, 596, 29954, 790, 547, 960, 538, 513, 4791, 8047, 267, 621, 568, 1455, 547, 3489, 513, 3318, 13995, 689, 3906, 971, 607, 519, 1977, 5980, 585, 11916, 11202, 1108, 630, 3008, 9573, 1916, 277, 269, 28150, 4518, 15232, 454, 7661, 267, 596, 3580, 991, 547, 2744, 3946, 6823, 1995, 538, 519, 2361, 269, 769, 3179, 4721, 267, 1382, 13930, 7158, 267, 543, 7127, 7400, 6009, 616, 782, 1390, 3255, 547, 1628, 707, 1702, 543, 1983, 538, 2564, 8762, 5735, 563, 29973, 10341, 585, 6481, 5843, 6798, 5505, 454, 16352, 4988, 519, 3872, 13374, 267, 1577, 779, 1865, 519, 1883, 1983, 602, 786, 948, 596, 14133, 607, 513, 2564, 18117, 6048, 912, 16920, 1549, 547, 1469, 281, 6481, 18117, 5505, 1590, 581, 22111, 538, 741, 960, 267, 607, 1256, 519, 10545, 6959, 666, 1291, 547, 11234, 21904, 543, 16789, 2126, 563, 27287, 3206, 281, 14675, 10763, 1983, 616, 2629, 950, 16208, 1382, 1239, 267, 30076, 2152, 267, 543, 1821, 2358, 2994, 547, 8396, 3676, 563, 11328, 26051, 543, 2792, 1983, 281, 6481, 18117, 5505, 1419, 12840, 609, 824, 3782, 4648, 267, 865, 2500, 2792, 543, 16542, 616, 1898, 563, 24248, 1983, 281, 634, 5354, 540, 519, 960, 538, 2564, 8762, 5735, 3217, 1747, 538, 513, 8047, 4259, 267, 865, 15334, 538, 2978, 2553, 568, 513, 1590, 563, 19370, 9010, 281, 769, 713, 2361, 267, 596, 786, 3068, 3875, 2591, 602, 2154, 2656, 3206, 543, 3860, 3435, 563, 2026, 596, 666, 1294, 267, 4742, 513, 2564, 18117, 6048, 3340, 11428, 543, 2182, 960, 267, 855, 621, 568, 606, 11212, 16180, 4876, 2619, 585, 1346, 609, 513, 6612, 585, 519, 18784, 1158, 269, 2060, 2182, 960, 543, 8990, 267, 972, 779, 1100, 3970, 547, 1018, 596, 666, 9585, 2336, 13425, 856, 824, 2189, 2257, 4610, 281, 0, 10376, 9570, 630, 4944, 2001, 264, 3568 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 824, 5132, 269, 1626, 634, 7928, 1995, 540, 12004, 10455, 3256, 267, 12667, 569, 18189, 1242, 538, 28005, 976, 267, 8964, 267, 543, 8778, 338, 267, 607, 1134, 607, 519, 3308, 2592, 17477, 1310, 865, 1082, 1857, 4291, 1903, 267, 1185, 513, 13974, 3532, 1198, 269, 1704, 634, 2856, 602, 968, 26421, 666, 581, 10710, 538, 1010, 1378, 5132, 892, 1522, 2972, 930, 3908, 1967, 950, 10271, 267, 7642, 267, 543, 17018, 548, 916, 941, 12543, 267, 607, 538, 840, 268, 14983, 273, 30345, 807, 267, 855, 922, 5391, 518, 908, 7399, 1705, 711, 8831, 547, 7526, 1851, 10271, 269, 1924, 267, 1932, 267, 1247, 14308, 1218, 540, 1114, 21334, 687, 1522, 954, 3405, 787, 267, 17557, 1700, 290, 987, 4301, 22888, 7018, 1454, 1447, 4749, 543, 9863, 1454, 811, 26688, 540, 1920, 1894, 269, 1240, 2311, 8877, 2175, 540, 10892, 729, 3976, 513, 2182, 3562, 268, 792, 333, 1184, 267, 543, 922, 10781, 941, 1419, 1152, 3908, 538, 2470, 269, 898, 7283, 513, 3609, 602, 1223, 581, 14460, 607, 3362, 607, 621, 1223, 581, 4359, 269, 3143, 1533, 1131, 15646, 8784, 922, 3656, 6392, 936, 3909, 6927, 538, 519, 2012, 540, 17516, 519, 2924, 540, 782, 922, 5396, 269, 15215, 729, 1932, 1271, 513, 2339, 267, 1932, 1454, 606, 3693, 540, 1533, 3609, 267, 547, 581, 5701, 607, 513, 2123, 1318, 602, 8723, 2043, 3274, 610, 6923, 22234, 269, 1496, 476, 2420, 23378, 763, 645, 6324, 523, 540, 24729, 3130, 634, 5929, 957, 540, 10205, 618, 3357, 538, 476, 12739, 276, 267, 950, 8402, 2473, 4353, 2847, 12097, 519, 3798, 1112, 540, 715, 656, 525, 540, 476, 14689, 279, 269, 2334, 957, 540, 3609, 11943, 10199, 513, 2540, 543, 513, 3791, 540, 15784, 543, 4655, 602, 1185, 3366, 547, 13417, 1737, 344, 11775, 540, 3392, 4115, 30398, 602, 2838, 7368, 16395, 547, 3132, 513, 4557, 6681, 3909, 4708, 269, 634, 18018, 340, 523, 582, 2146, 729, 1869, 13166, 1572, 3288, 4984, 929, 2946, 1084, 16746, 678, 2946, 845, 19902, 630, 1492, 5910, 2105, 610, 865, 10777, 1234, 11526, 4984, 1070, 513, 15262, 540, 875, 17895, 894, 519, 3350, 4724, 3909, 4708, 1185, 2141, 1044, 269, 634, 21324, 540, 18018, 340, 523, 582, 1272, 538, 519, 476, 12739, 271, 338, 729, 513, 22266, 26035, 269, 1234, 11526, 10820, 941, 1641, 547, 1373, 1951, 2998, 19861, 267, 2495, 602, 7980, 941, 14415, 1229, 538, 17557, 5321, 693, 741, 5411, 685, 13258, 269, 12267, 32736, 540, 7980, 705, 6748, 24726, 267, 20766, 267, 543, 22063, 267, 9513, 519, 29939, 902, 543, 519, 7031, 543, 519, 13184, 267, 6704, 741, 1259, 998, 519, 9174, 1591, 541, 267, 543, 3622, 3257, 607, 1454, 3441, 607, 789, 5551, 269, 6271, 10751, 729, 13684, 593, 18018, 340, 523, 582, 3885, 281, 789, 1223, 6336, 519, 26692, 540, 741, 1453, 267, 945, 1223, 581, 5116, 538, 7826, 3885, 610, 5238, 543, 556, 1563, 1369, 519, 4013, 5132, 269, 634, 1152, 3435, 547, 713, 1616, 517, 18670, 540, 6469, 4708, 941, 2901, 585, 1873, 8960, 835, 779, 3909, 10121, 2906, 543, 16561, 519, 5783, 540, 7507, 267, 610, 3116, 4058, 606, 9101, 602, 1981, 539, 6028, 1454, 540, 835, 779, 3959, 3297, 269, 866, 634, 2847, 6327, 540, 519, 3798, 1112, 11943, 513, 10116, 10601, 540, 29083, 20655, 602, 3459, 609, 519, 2407, 607, 1417, 540, 8402, 2473, 4353, 547, 519, 15438, 1222, 538, 476, 14917, 272, 269, 634, 1296, 602, 4553, 4547, 519, 9552, 540, 3875, 18018, 340, 523, 582, 17633, 267, 519, 791, 3789, 540, 3656, 20507, 593, 8723, 740, 6254, 338, 267, 543, 519, 3742, 946, 540, 4108, 3196, 543, 22266, 5208, 547, 735, 601, 18018, 340, 523, 1824, 547, 15646, 8784, 741, 5132, 269, 2991, 24815, 2968, 519, 2063, 4781, 585, 1346, 945, 24714, 9444, 547, 705, 329, 675, 741, 5132, 6862, 547, 2661, 607, 9633, 539, 27869, 1235, 538, 513, 7826, 2528, 1765, 899, 519, 968, 2908, 4168, 892, 631, 1551, 534, 657, 540, 30345, 807, 1765, 10915, 4007, 324, 2950, 7902, 538, 26652, 267, 6628, 267, 2398, 17892, 267, 543, 16848, 269, 630, 5278, 3885, 1500, 741, 1259, 547, 3703, 3345, 3013, 281, 519, 3791, 543, 1496, 476, 2537, 23378, 289, 5674, 593, 323, 27801, 267, 15332, 3117, 7220, 8772, 27504, 540, 519, 25550, 6837, 267, 8361, 19846, 985, 543, 3627, 20289, 267, 10645, 18018, 340, 523, 582, 16350, 1040, 634, 1360, 2262, 21345, 267, 799, 5515, 865, 30326, 538, 519, 2413, 11407, 540, 1480, 2924, 267, 729, 11827, 547, 4766, 519, 18018, 340, 523, 582, 29563, 269, 736, 1677, 513, 2413, 3750, 267, 519, 20655, 543, 24815, 540, 519, 18018, 340, 523, 1824, 2408, 547, 12013, 1518, 519, 11944, 540, 519, 2856, 540, 1480, 2924, 269, 4256, 726, 697, 543, 12556, 267, 799, 941, 11840, 2299, 4330, 538, 8778, 338, 543, 17770, 7240, 12591, 267, 2968, 513, 2014, 524, 2946, 331, 11726, 3691, 1369, 519, 3486, 17557, 2146, 269, 769, 741, 16395, 609, 519, 3943, 21257, 267, 519, 18018, 340, 523, 1824, 14578, 1045, 12097, 519, 1808, 1196, 1112, 338, 543, 3526, 525, 602, 1185, 16219, 547, 2327, 741, 2168, 543, 3909, 3106, 269, 1809, 593, 835, 1808, 2339, 789, 18674, 713, 9029, 547, 2798, 2907, 598, 1027, 539, 609, 513, 811, 2489, 1045, 6327, 540, 519, 4909, 2067, 1318, 540, 3237, 547, 1852, 741, 1453, 779, 3909, 2069, 269, 7201, 606, 1196, 1112, 540, 4873, 476, 1704, 267, 476, 12739, 272, 267, 519, 21257, 4847, 18018, 340, 523, 582, 1453, 607, 1762, 607, 5722, 547, 1118, 513, 3903, 540, 4984, 543, 547, 581, 6569, 689, 741, 3885, 543, 6659, 607, 23597, 269, 769, 513, 9966, 1076, 17372, 547, 8402, 2473, 4353, 267, 18018, 340, 523, 1824, 711, 1152, 1486, 6479, 519, 4655, 1063, 713, 11865, 543, 824, 11650, 6580, 547, 519, 3798, 1112, 540, 715, 656, 525, 269, 1358, 849, 11130, 602, 621, 26991, 968, 320, 4521, 540, 7186, 1496, 6518, 316, 568, 607, 3504, 607, 519, 1158, 630, 663, 11313, 26385, 513, 7665, 574, 267, 602, 2067, 7126, 616, 1799, 17014, 264, 892, 607, 1134, 607, 968, 1492, 11426, 540, 782, 8315, 1848, 4065, 1223, 581, 1767, 547, 2253, 1152, 693, 2085, 5722, 267, 519, 4090, 950, 968, 29261, 798, 607, 621, 941, 1491, 25334, 11970, 540, 741, 9406, 892, 547, 15493, 741, 1453, 538, 741, 1378, 4984, 269, 12344, 693, 27552, 1453, 1223, 968, 2041, 2451, 547, 741, 14893, 543, 23068, 892, 538, 3909, 6927, 267, 855, 2394, 1287, 3237, 4371, 513, 2067, 543, 3540, 1318, 547, 3635, 602, 10279, 269, 2641, 2986, 1576, 267, 513, 6863, 540, 1480, 2924, 729, 711, 2943, 2139, 538, 27867, 10601, 2797, 3206, 269, 1677, 1521, 519, 18018, 340, 523, 582, 24815, 267, 899, 519, 1163, 13955, 540, 519, 30345, 1014, 7642, 267, 607, 513, 17565, 1738, 18634, 540, 519, 8798, 540, 1480, 2924, 1131, 3976, 3479, 519, 1496, 476, 2190, 23378, 763, 645, 6324, 523, 540, 24729, 3130, 5609, 602, 12206, 4250, 1034, 281, 606, 778, 1258, 1143, 269, 769, 519, 18018, 340, 523, 582, 5859, 547, 2226, 513, 12512, 540, 7109, 566, 267, 26525, 22587, 547, 519, 2067, 2924, 540, 3237, 20974, 1229, 2484, 1447, 982, 3646, 547, 7618, 519, 3943, 21257, 540, 519, 598, 947, 687, 621, 1185, 5892, 6035, 269, 1809, 513, 17979, 610, 15698, 602, 519, 1533, 1185, 11292, 729, 849, 513, 17979, 610, 15698, 621, 1223, 2847, 5803, 269, 634, 8789, 2203, 540, 1533, 8154, 630, 528, 1533, 268, 2679, 264, 9053, 3909, 7833, 640, 547, 3909, 12683, 1143, 269, 12846, 267, 7422, 540, 519, 18018, 340, 523, 582, 1995, 1705, 723, 513, 2101, 1764, 593, 519, 1646, 540, 7109, 566, 626, 3206, 269, 3627, 28676, 5030, 538, 5333, 1282, 519, 3735, 476, 15757, 271, 338, 267, 950, 646, 1185, 15792, 3346, 609, 519, 18018, 340, 523, 582, 2146, 269, 1879, 646, 4682, 883, 2797, 24815, 538, 26652, 513, 8717, 2663, 267, 18018, 340, 523, 582, 15076, 941, 1459, 538, 1804, 2338, 269, 24839, 7345, 548, 849, 3576, 9675, 538, 26652, 267, 1141, 646, 2968, 2377, 549, 6150, 538, 11173, 27900, 609, 1010, 5449, 19121, 267, 24839, 30083, 24586, 267, 519, 1390, 22557, 2006, 585, 27869, 626, 3540, 15698, 269, 1656, 1975, 3626, 5633, 267, 519, 1034, 4583, 540, 608, 10919, 5344, 7642, 267, 729, 26731, 689, 519, 30345, 1014, 15076, 267, 1082, 540, 873, 968, 2908, 10271, 892, 543, 631, 1551, 534, 657, 267, 945, 556, 13094, 741, 18577, 3909, 3961, 538, 26652, 269, 1280, 606, 11606, 540, 4128, 267, 26652, 2968, 835, 540, 519, 1079, 3084, 15473, 585, 519, 10952, 1646, 540, 2413, 2093, 540, 3909, 15698, 269, 634, 824, 8468, 729, 4789, 267, 547, 799, 28676, 8120, 1152, 1310, 519, 717, 3271, 1190, 7169, 540, 476, 12739, 279, 17956, 922, 6228, 607, 513, 17557, 7706, 563, 12626, 19837, 550, 543, 513, 1715, 13804, 320, 14295, 320, 4789, 1185, 5342, 922, 1378, 6901, 538, 19620, 3909, 7833, 640, 269, 769, 922, 8129, 267, 519, 2296, 26746, 540, 519, 476, 14631, 271, 338, 729, 606, 957, 540, 1533, 267, 9141, 676, 3751, 8361, 24163, 779, 7287, 547, 1265, 519, 5256, 25752, 602, 1010, 1101, 7385, 267, 21965, 540, 589, 16400, 267, 1185, 711, 2016, 1864, 269, 1879, 741, 8250, 6307, 3357, 547, 519, 17599, 538, 476, 14028, 274, 267, 1310, 519, 2669, 540, 1496, 476, 1839, 23378, 289, 5674, 593, 323, 27801, 267, 15332, 3117, 7220, 1200, 7820, 3368, 1532, 549, 750, 3751, 11977, 17886, 267, 1352, 25525, 3585, 13986, 547, 11177, 2296, 14017, 547, 519, 5783, 540, 7507, 269, 11153, 4627, 7118, 652, 14308, 1218, 1765, 5443, 543, 2021, 609, 5289, 19647, 2484, 4514, 982, 519, 3735, 3751, 8361, 779, 1765, 26200, 26151, 693, 519, 7196, 267, 4166, 547, 581, 18189, 1242, 538, 16737, 324, 779, 3883, 540, 6742, 344, 3464, 630, 14444, 274, 1070, 513, 19506, 960, 602, 2451, 606, 30170, 12705, 593, 519, 2528, 540, 9097, 14308, 1218, 269, 6307, 779, 1065, 1833, 22755, 824, 14308, 1218, 547, 3343, 3106, 593, 519, 11782, 267, 1141, 930, 941, 7184, 6766, 676, 519, 27869, 626, 1234, 11526, 3350, 269, 2991, 6307, 5747, 538, 476, 14028, 279, 267, 1200, 2699, 20243, 3368, 1606, 3563, 10906, 267, 8250, 540, 519, 13401, 14732, 645, 1961, 2106, 267, 3357, 547, 519, 17599, 269, 10906, 8120, 4789, 547, 17557, 4341, 267, 543, 519, 7826, 2671, 540, 922, 2551, 21022, 609, 1142, 8717, 269, 10906, 267, 1932, 267, 5249, 2182, 547, 12492, 513, 19618, 5939, 269, 1809, 519, 631, 4115, 608, 3796, 945, 8120, 689, 26652, 543, 824, 1234, 11526, 2950, 267, 899, 3627, 27869, 779, 25611, 267, 5645, 811, 9097, 2093, 269, 769, 741, 2070, 267, 519, 5783, 540, 4789, 2877, 2417, 22729, 865, 602, 621, 1131, 711, 2611, 513, 3084, 1242, 4528, 540, 519, 5783, 540, 7507, 267, 609, 922, 15796, 540, 31967, 543, 922, 22350, 1396, 17790, 10847, 269, 2334, 6161, 6273, 519, 8830, 11939, 3350, 602, 5129, 865, 4105, 513, 1909, 538, 519, 5935, 540, 1977, 17557, 1143, 269, 634, 1985, 3184, 786, 2015, 519, 3909, 4644, 540, 8830, 11939, 1143, 538, 922, 1977, 2796, 269, 1548, 6927, 1631, 568, 519, 6284, 602, 538, 3735, 31303, 268, 543, 27867, 10601, 4789, 267, 13882, 1369, 513, 15866, 17557, 4182, 6383, 519, 9840, 936, 3909, 15698, 543, 7368, 7125, 585, 7109, 566, 602, 4646, 519, 3312, 4282, 585, 1977, 3206, 269, 12866, 16313, 338, 543, 835, 29610, 268, 6362, 267, 519, 7083, 5019, 10725, 20182, 595, 668, 6202, 267, 556, 11220, 936, 4789, 1282, 519, 24369, 5756, 689, 519, 1569, 542, 540, 10906, 594, 538, 476, 14028, 279, 547, 519, 18254, 540, 6276, 4083, 538, 12739, 279, 269, 634, 8789, 20949, 540, 10906, 543, 519, 2185, 26573, 15438, 2420, 1765, 5976, 519, 5732, 4277, 9868, 540, 6276, 4083, 1765, 729, 547, 8190, 519, 6392, 540, 519, 5783, 540, 4789, 543, 3970, 1496, 476, 2918, 23378, 763, 645, 6324, 523, 540, 24729, 3130, 519, 2208, 540, 15180, 3392, 338, 269, 769, 2489, 789, 22002, 513, 3609, 540, 3909, 20208, 267, 607, 602, 2165, 729, 1287, 1031, 269, 3525, 3130, 1223, 1869, 1611, 9319, 26037, 540, 2623, 267, 971, 607, 28112, 15967, 610, 606, 8944, 282, 855, 621, 849, 1303, 9229, 519, 24526, 16879, 540, 519, 1379, 540, 519, 1533, 269, 1306, 519, 14787, 6599, 534, 1744, 12298, 32625, 267, 2178, 18765, 540, 968, 326, 4261, 766, 267, 27047, 842, 267, 1065, 1833, 543, 1852, 941, 3710, 883, 519, 1360, 1893, 540, 20208, 2223, 799, 968, 322, 746 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 28874, 519, 1604, 609, 938, 2067, 476, 277, 7825, 14350, 20386, 12713, 1805, 3863, 338, 269, 17214, 689, 2030, 2861, 623, 6369, 267, 513, 8970, 20566, 12045, 602, 568, 476, 1911, 260, 27500, 543, 11003, 762, 538, 606, 4853, 735, 8803, 563, 27807, 1805, 3863, 7849, 654, 571, 5529, 476, 277, 7825, 1107, 16179, 19889, 6363, 7037, 853, 3863, 338, 454, 305, 4029, 269, 4962, 1107, 681, 277, 2641, 269, 876, 454, 268, 1473, 1204, 1302, 654, 571, 5529, 7849, 12713, 1805, 3863, 338, 454, 268, 26133, 476, 1911, 260, 21954, 22869, 454, 268, 27975, 569, 3281, 739, 762, 454, 268, 476, 1911, 260, 7233, 9122, 270, 5522, 2880, 6363, 872, 454, 268, 17214, 3245, 623, 6369, 454, 268, 6423, 13995, 1934, 454, 268, 1473, 1204, 1302, 654, 571, 5529, 7849, 12713, 1805, 3863, 338, 476, 277, 7825, 454, 268, 12232, 538, 19492, 1407, 540, 476, 1911, 610, 10833, 540, 476, 1220, 271, 454, 272, 269, 12713, 2861, 15229, 616, 811, 4264, 982, 19386, 2861, 22169, 563, 5978, 1979, 31129, 2472, 616, 1500, 689, 7791, 2030, 2861, 2200, 899, 4006, 29647, 267, 8970, 560, 1105, 543, 10568, 269, 769, 519, 772, 2529, 269, 4805, 267, 476, 1220, 476, 1822, 29054, 540, 3282, 616, 1031, 3232, 547, 1118, 5068, 267, 799, 1223, 581, 17515, 676, 1210, 4264, 6915, 13807, 2880, 563, 273, 269, 634, 5663, 540, 6915, 2861, 5068, 899, 623, 6369, 568, 811, 4492, 18026, 982, 3282, 2861, 5068, 563, 303, 6369, 3340, 476, 4792, 260, 1447, 1648, 547, 1118, 982, 922, 19386, 2861, 11218, 563, 274, 269, 634, 2953, 2126, 540, 513, 6915, 2861, 5068, 693, 519, 1439, 540, 922, 1272, 4783, 568, 2629, 563, 763, 2063, 3364, 649, 1616, 547, 1294, 568, 1004, 16445, 532, 741, 1979, 31129, 2472, 267, 19451, 569, 3206, 621, 786, 7686, 1122, 8565, 269, 12713, 2861, 15229, 899, 623, 6369, 2154, 5010, 24600, 6703, 547, 2736, 1524, 269, 4014, 513, 1587, 949, 581, 27500, 610, 11003, 762, 1281, 711, 1611, 602, 621, 786, 31358, 538, 519, 1604, 269, 21954, 22869, 2472, 2154, 519, 2953, 2175, 540, 3002, 267, 1216, 543, 1769, 547, 31358, 269, 2334, 779, 1946, 649, 4363, 4466, 513, 1434, 3653, 8851, 3028, 609, 606, 4853, 735, 8803, 563, 275, 269, 21954, 22869, 5068, 2472, 3132, 476, 6924, 260, 1447, 8511, 3154, 5434, 982, 3282, 2861, 5068, 2472, 563, 289, 1675, 18341, 1963, 3132, 1447, 5533, 950, 14475, 543, 2736, 1524, 883, 5214, 3334, 267, 799, 616, 2922, 585, 938, 1216, 543, 2011, 563, 276, 269, 21954, 22869, 1281, 711, 8209, 1611, 11003, 762, 563, 289, 1675, 22869, 15229, 616, 1500, 689, 519, 1482, 1570, 607, 19386, 2861, 5068, 609, 3606, 6464, 602, 2014, 621, 547, 2736, 1524, 18334, 269, 1717, 267, 930, 27500, 15229, 23650, 1510, 30477, 7992, 4625, 543, 666, 3542, 1393, 519, 3037, 267, 2011, 543, 25825, 267, 607, 1134, 607, 10460, 513, 1981, 547, 2831, 269, 1358, 3112, 581, 13381, 269, 2201, 519, 824, 1688, 267, 11003, 762, 6915, 2861, 15229, 899, 519, 623, 6369, 649, 946, 538, 1082, 540, 938, 2472, 616, 1500, 689, 2030, 2861, 2959, 543, 2736, 1524, 883, 5214, 3334, 602, 798, 711, 4734, 6757, 22016, 563, 277, 269, 3281, 24031, 6915, 2861, 5068, 666, 2490, 17885, 883, 3638, 267, 1208, 545, 1570, 563, 2171, 2648, 602, 17885, 666, 581, 1434, 585, 519, 3037, 256, 901, 666, 2087, 1216, 543, 8770, 12802, 543, 948, 1332, 8902, 2371, 609, 1447, 991, 585, 3114, 18168, 563, 272, 269, 1548, 1281, 2048, 4818, 739, 762, 685, 1611, 888, 8072, 4467, 14006, 762, 685, 1797, 602, 513, 1570, 666, 30477, 3433, 543, 4734, 1100, 10250, 540, 17219, 269, 4014, 7686, 18341, 1963, 2736, 1524, 267, 11003, 1963, 2132, 547, 543, 1256, 16138, 880, 519, 3037, 563, 4467, 14006, 762, 2326, 616, 14468, 2687, 547, 519, 3864, 4441, 13673, 476, 16328, 3953, 630, 17569, 1645, 264, 543, 13673, 476, 14983, 4817, 630, 335, 20094, 264, 543, 568, 11003, 539, 538, 4853, 2371, 269, 1809, 621, 779, 1271, 547, 1174, 602, 11003, 1464, 610, 7686, 18341, 1464, 1281, 711, 8850, 1611, 602, 513, 1587, 786, 31358, 538, 1022, 1604, 269, 1656, 538, 1034, 2665, 27500, 15229, 786, 1152, 31358, 538, 4853, 24600, 2371, 896, 1808, 2175, 563, 26502, 899, 2837, 267, 942, 267, 11195, 543, 519, 4527, 540, 4551, 543, 13271, 3313, 875, 1134, 513, 1570, 9714, 525, 269, 1452, 2188, 666, 581, 6417, 1152, 538, 4853, 24600, 2371, 269, 11048, 930, 2472, 1522, 581, 5078, 585, 1753, 24600, 269, 1280, 1383, 267, 938, 4006, 29647, 543, 1957, 2472, 630, 7474, 616, 711, 20898, 609, 5068, 610, 623, 6369, 264, 723, 6707, 28811, 538, 1753, 11003, 619, 269, 1717, 267, 2326, 899, 623, 6369, 2154, 606, 4853, 24600, 9744, 585, 1697, 12871, 563, 272, 269, 623, 6369, 1107, 2717, 2643, 12519, 18729, 454, 303, 6369, 568, 513, 4874, 6856, 24704, 689, 561, 12519, 3679, 610, 14915, 728, 1395, 12002, 267, 799, 616, 3812, 676, 519, 18829, 540, 7031, 899, 8970, 267, 10568, 267, 14043, 267, 12277, 267, 4006, 29647, 543, 7148, 328, 10087, 563, 273, 269, 1548, 568, 621, 1031, 585, 888, 7197, 623, 6369, 11183, 3812, 568, 14461, 543, 568, 1031, 538, 11680, 543, 911, 903, 267, 4352, 8465, 11183, 568, 849, 4742, 2139, 630, 560, 3863, 338, 267, 11435, 3092, 1916, 4415, 3156, 12341, 1063, 602, 540, 27946, 543, 4874, 560, 344, 16867, 267, 623, 6369, 568, 606, 3618, 7888, 267, 1875, 3562, 13877, 4781, 585, 4411, 1426, 11149, 267, 5347, 773, 11680, 543, 2269, 9749, 269, 623, 6369, 666, 849, 581, 16358, 1242, 547, 1106, 9875, 8747, 585, 3156, 971, 607, 6995, 7484, 561, 1749, 543, 623, 6369, 27022, 563, 274, 269, 1215, 547, 26565, 540, 621, 454, 2171, 3810, 4363, 3478, 538, 5905, 609, 513, 3653, 8851, 3028, 609, 606, 4853, 24600, 9744, 269, 4014, 623, 6369, 568, 1312, 27500, 543, 11003, 762, 267, 621, 568, 3622, 711, 5078, 585, 1753, 24600, 269, 7201, 4853, 24600, 2175, 267, 623, 6369, 666, 1491, 476, 274, 268, 275, 3275, 547, 581, 11003, 539, 563, 2005, 779, 849, 1271, 547, 3314, 602, 623, 6369, 15229, 616, 711, 7286, 9714, 762, 267, 6862, 616, 789, 6691, 762, 269, 769, 1249, 267, 952, 16207, 856, 609, 9657, 267, 623, 6369, 666, 581, 5393, 16609, 538, 8764, 908, 519, 9657, 6908, 269, 7490, 26565, 540, 707, 623, 6369, 2472, 14013, 563, 272, 269, 1548, 568, 8713, 6369, 888, 289, 1675, 22869, 8713, 6369, 568, 513, 7848, 540, 14915, 728, 630, 18478, 676, 7542, 13586, 8970, 560, 1105, 267, 10381, 765, 344, 267, 3092, 4700, 543, 620, 760, 1002, 545, 4874, 22246, 630, 324, 3052, 546, 545, 541, 7901, 344, 997, 3679, 610, 28340, 1500, 689, 18829, 540, 9848, 1356, 565, 1040, 898, 666, 581, 2901, 513, 2182, 5068, 610, 513, 2571, 8465, 835, 4470, 593, 519, 2179, 540, 620, 760, 1002, 545, 4874, 6856, 1459, 538, 519, 7848, 269, 2353, 616, 7791, 2200, 563, 273, 269, 1548, 568, 621, 1031, 585, 888, 4263, 15729, 19067, 649, 946, 8713, 6369, 538, 938, 10357, 7888, 2759, 331, 2044, 267, 6995, 7484, 561, 1749, 543, 1896, 1426, 11149, 269, 4033, 3156, 1331, 11003, 11435, 267, 31289, 532, 2326, 267, 1426, 28277, 2326, 267, 10068, 24437, 267, 3092, 269, 898, 568, 2653, 547, 1184, 609, 6617, 909, 547, 476, 1220, 11019, 290, 563, 274, 269, 1215, 547, 26565, 540, 621, 454, 2252, 1651, 10719, 730, 267, 1100, 6757, 6878, 616, 6383, 269, 634, 8022, 1871, 543, 3327, 8166, 6383, 1282, 13674, 616, 2539, 267, 676, 3592, 3368, 519, 1377, 267, 540, 602, 6383, 676, 18027, 610, 13662, 563, 7212, 8713, 6369, 814, 513, 1164, 7636, 2597, 543, 1164, 13621, 15304, 267, 621, 5956, 8840, 1524, 883, 513, 1970, 2173, 12817, 2597, 12249, 267, 538, 2067, 5054, 267, 1310, 476, 276, 268, 277, 3275, 269, 13159, 17883, 1310, 476, 1321, 3275, 269, 1879, 11003, 539, 609, 1426, 20203, 267, 621, 5956, 8840, 1524, 883, 513, 1970, 2173, 12817, 2597, 1310, 476, 273, 4374, 563, 303, 871, 630, 272, 1770, 1070, 590, 23932, 557, 630, 736, 4559, 264, 0, 2467, 616, 1079, 3506, 540, 2219, 519, 2470, 8957, 20741, 7521, 568, 835, 540, 519, 9510, 2152, 538, 6530, 269, 2470, 8957, 20741, 538, 1893, 2319, 3651, 16664, 10467, 1646, 1557, 1957, 11156, 8957, 31026, 576, 538, 4082, 7693, 1557, 1957, 2200, 2470, 5288, 20741, 1893, 1646, 1557, 28170, 542, 713, 3018, 779, 1250, 7223, 6780, 23827, 566, 267, 10508, 5168, 950, 25091, 23827, 566, 1577, 938, 4810, 8808, 5830, 6023, 2470, 5991, 4669, 675, 543, 1893, 1646, 1557, 1957, 269, 519, 7521, 7740, 593, 519, 3448, 7418, 540, 2102, 2045, 18472, 543, 2825, 2188, 547, 1480, 1876, 1153, 2123, 3948, 3594, 1646, 269, 3564, 2470, 5288, 269, 5758, 540, 2470, 5288, 269, 621, 840, 2854, 3594, 585, 9042, 568, 3989, 607, 519, 1184, 676, 799, 2043, 7961, 2299, 5968, 543, 1174, 11913, 23316, 538, 519, 2038, 1296, 1966, 6061, 3785, 540, 519, 1480, 1272, 269, 519, 5107, 2470, 543, 2470, 5288, 20741, 1893, 1646, 1557, 20741, 723, 538, 519, 1184, 540, 1893, 1646, 1646, 20741, 1557, 2470, 1893, 5288, 269, 20741, 538, 561, 1638, 28320, 585, 2370, 20737, 476, 11260, 272, 1913, 1923, 476, 279, 3817, 269, 865, 2470, 5288, 20741, 568, 3592, 835, 543, 519, 1482, 2470, 5288, 20741, 1893, 1646, 1557, 3364, 269, 2576, 945, 568, 21183, 1383, 540, 2565, 3206, 1983, 1131, 581, 3144, 856, 824, 7387, 609, 519, 1318, 1004, 547, 3310, 873, 543, 5000, 873, 269, 519, 7521, 7740, 593, 519, 13558, 1382, 1957, 3584, 3448, 7418, 540, 2102, 2045, 18472, 543, 2825, 2188, 547, 1480, 1646, 269, 519, 7521, 7740, 593, 519, 3448, 7418, 540, 2102, 2045, 7214, 3959, 1557, 18472, 543, 2825, 2188, 547, 1480, 1646, 269, 585, 1603, 3255, 585, 2852, 1053, 5301, 540, 713, 1557, 2470, 568, 2469, 2470, 5288, 20741, 1893, 1646, 1557, 547, 581, 3989, 607, 4162, 10927, 1153, 16075, 1557, 11049, 649, 10536, 998, 938, 4719, 543, 6211, 2188, 1247, 602, 20741, 568, 2469, 547, 581, 3989, 4162, 649, 10536, 2470, 5288, 20741, 4608, 1538, 528, 1242, 1310, 13156, 7819, 4838, 1557, 2055, 938, 1576, 1543, 713, 3018, 267, 2542, 998, 2470, 5288, 20741, 1893, 1646, 1557, 707, 11271, 543, 2348, 6192, 707, 14436, 7084, 270, 22967, 1948, 272, 593, 707, 1646, 267, 5767, 1382, 1957, 1018, 798, 596, 1589, 827, 2470, 5288, 269, 0, 763, 13909, 1849, 1021, 540, 519, 3689, 14821, 540, 519, 2136, 2276, 9139, 729, 2813, 547, 2149, 1018, 2038, 4892, 4718, 607, 513, 4909, 1318, 693, 519, 2295, 540, 1018, 621, 5921, 547, 581, 513, 1863, 543, 11180, 2486, 269, 10801, 519, 22733, 543, 13524, 5553, 267, 1857, 32234, 5129, 606, 7533, 851, 538, 1977, 6214, 543, 2486, 269, 1452, 32234, 9867, 1063, 9709, 543, 5214, 267, 6417, 543, 26093, 269, 21894, 4162, 1223, 581, 11911, 547, 1022, 1880, 10198, 267, 789, 941, 782, 6870, 676, 519, 13909, 1849, 1021, 267, 1312, 538, 519, 4064, 540, 1876, 11268, 543, 519, 4140, 26547, 269, 3683, 519, 2063, 2540, 267, 2705, 267, 519, 1318, 540, 10198, 814, 3144, 513, 1394, 10160, 547, 3106, 4145, 543, 513, 7287, 547, 2226, 519, 4567, 28943, 269, 634, 2113, 10560, 1436, 540, 3013, 779, 2199, 7128, 13623, 2429, 519, 2197, 814, 28978, 713, 7613, 563, 1607, 8074, 733, 1742, 602, 519, 2113, 10560, 1436, 540, 7128, 814, 2813, 606, 693, 2173, 14459, 602, 568, 20244, 693, 12918, 609, 519, 22624, 16798, 676, 519, 9139, 269, 1677, 6439, 1518, 519, 9073, 540, 519, 2250, 267, 519, 8074, 15156, 585, 1614, 1114, 4485, 547, 519, 1966, 269, 3689, 267, 621, 15156, 585, 16324, 2689, 540, 519, 11156, 1275, 540, 519, 1699, 2203, 540, 7128, 3491, 5052, 614, 5872, 1282, 1857, 32234, 543, 519, 2413, 16324, 7664, 540, 519, 13909, 1849, 1021, 269, 5822, 267, 621, 15156, 585, 606, 4367, 540, 9086, 602, 1131, 1101, 24044, 519, 2095, 540, 9604, 543, 2866, 689, 519, 4108, 547, 2199, 7128, 4229, 543, 1287, 9258, 713, 8959, 4603, 15587, 269, 12059, 267, 713, 4063, 5267, 513, 556, 628, 9722, 540, 875, 7128, 2170, 609, 519, 2950, 789, 616, 1572, 547, 4196, 543, 2149, 267, 11021, 602, 519, 2146, 2384, 532, 2203, 1655, 21356, 519, 991, 585, 4509, 2922, 2950, 1247, 1869, 7863, 1367, 22624, 269, 0, 1805, 21880, 28517, 634, 25906, 338, 543, 22165, 327, 454, 289, 805, 327, 22845, 3040, 22165, 3107, 5161, 540, 1079, 11775, 281, 3040 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 779, 1655, 1719, 547, 1521, 1010, 10437, 1134, 2614, 602, 789, 1223, 723, 1453, 563, 7617, 2489, 1500, 513, 3811, 19917, 1190, 13941, 693, 7638, 659, 745, 345, 888, 14197, 12736, 7615, 8845, 454, 7617, 3148, 3366, 519, 4182, 538, 5663, 1282, 519, 1647, 540, 519, 13524, 2540, 888, 1432, 2872, 814, 519, 1034, 838, 13899, 2804, 2208, 888, 7617, 2872, 1034, 838, 13899, 2804, 2208, 543, 5647, 538, 1644, 6080, 286, 15863, 281, 16456, 4238, 2066, 519, 4182, 563, 1432, 1034, 5280, 4492, 519, 4182, 779, 2804, 2208, 888, 7617, 540, 519, 1739, 1034, 5280, 4492, 519, 4182, 779, 2804, 2208, 7790, 7849, 8249, 563, 1692, 1705, 16851, 4492, 22713, 888, 22479, 1388, 1143, 3361, 519, 11633, 7169, 1317, 22713, 2838, 1713, 960, 543, 5092, 689, 2043, 543, 711, 8209, 519, 2229, 269, 901, 5092, 689, 2043, 267, 4171, 3527, 941, 11461, 676, 519, 7443, 30254, 267, 1131, 711, 723, 1044, 2009, 1510, 519, 11944, 540, 16851, 1547, 0, 305, 1156, 1756, 268, 657, 26606, 6580, 1505, 454, 5723, 22552, 16898, 23415, 661, 2752, 901, 1788, 9607, 835, 540, 519, 4909, 24598, 25751, 2877, 547, 1174, 27230, 3157, 602, 3132, 7601, 2173, 8432, 321, 6577, 636, 12074, 2404, 609, 4012, 3901, 1143, 693, 13719, 2157, 538, 519, 3618, 779, 12933, 269, 901, 30343, 568, 519, 12557, 543, 8653, 540, 519, 7777, 1436, 1184, 1369, 519, 6626, 2796, 540, 519, 4012, 3901, 1143, 543, 519, 29684, 543, 27230, 4720, 540, 513, 1768, 8735, 563, 2005, 814, 1044, 1767, 281, 968, 5591, 667, 919, 267, 3143, 26162, 256, 1684, 789, 1106, 936, 9937, 540, 6634, 540, 1296, 610, 811, 2073, 610, 798, 789, 1106, 538, 513, 1906, 4627, 8536, 1296, 610, 1447, 286, 1280, 1383, 267, 835, 6580, 4480, 3322, 519, 946, 540, 1488, 2415, 517, 2073, 513, 3154, 538, 922, 2067, 1533, 267, 543, 4352, 1488, 949, 581, 1336, 543, 6027, 538, 7725, 543, 6886, 267, 713, 568, 711, 513, 6899, 3135, 585, 519, 3693, 563, 1103, 4334, 267, 1312, 1234, 543, 14642, 616, 30423, 2000, 8221, 267, 543, 616, 6923, 13671, 538, 17285, 7626, 6886, 563, 305, 1156, 1756, 268, 657, 26606, 24236, 1062, 18267, 538, 14368, 2572, 594, 281, 7395, 15122, 4401, 14368, 924, 2516, 4083, 5723, 15281, 655, 5674, 518, 590, 6635, 476, 4375, 6635, 6580, 540, 538, 7501, 689, 594, 5723, 4401, 14368, 2572, 563, 294, 7949, 2987, 5025, 573, 585, 11660, 3194, 595, 269, 1323, 2038, 3942, 540, 519, 1459, 1788, 267, 11095, 3646, 585, 1234, 268, 11675, 9382, 941, 1500, 269, 634, 1234, 2527, 26563, 4479, 729, 2356, 22841, 676, 27129, 10145, 267, 855, 6368, 3811, 7403, 941, 25189, 269, 1717, 267, 519, 9295, 540, 27129, 1234, 568, 1869, 1804, 267, 543, 938, 3646, 1590, 581, 2016, 547, 2569, 971, 1198, 269, 634, 1234, 268, 11675, 6580, 1505, 941, 4294, 547, 1896, 5686, 540, 5439, 971, 607, 18983, 1014, 13019, 553, 10440, 1929, 16893, 267, 3735, 30083, 26226, 16095, 18429, 689, 570, 31243, 1895, 267, 21007, 18152, 16095, 18429, 689, 1744, 574, 2033, 2776, 2739, 675, 267, 1459, 6377, 5757, 543, 7286, 21439, 563, 17829, 1239, 5815, 1079, 1271, 3344, 281, 476, 272, 4107, 540, 519, 1929, 16893, 543, 16095, 18429, 22734, 4049, 8143, 2680, 1282, 4511, 523, 2045, 3157, 616, 711, 5078, 585, 1234, 268, 11675, 6580, 269, 1234, 1522, 4043, 547, 581, 20834, 1242, 1282, 971, 3157, 269, 7053, 267, 4352, 3498, 540, 1234, 268, 11675, 1505, 547, 24348, 7725, 1522, 581, 11658, 547, 5266, 1762, 7725, 267, 713, 1505, 1590, 17330, 3007, 585, 2417, 17027, 13753, 563, 11514, 4167, 532, 519, 1234, 268, 11675, 544, 8432, 321, 6577, 924, 2520, 5255, 1258, 10309, 454, 288, 9241, 9715, 2527, 26563, 2678, 24696, 676, 519, 7136, 15190, 668, 4479, 12524, 786, 581, 9862, 547, 3313, 678, 1156, 1756, 543, 23015, 1756, 24236, 9830, 1210, 2942, 8143, 9357, 1436, 2527, 26563, 4479, 715, 2316, 5960, 269, 1284, 4766, 519, 6240, 540, 519, 1234, 268, 11675, 6580, 4480, 543, 519, 8143, 9357, 1436, 9259, 799, 1291, 547, 1164, 8856, 24236, 2079, 593, 715, 2316, 5960, 269, 15840, 322, 718, 808, 301, 2676, 3725, 1700, 11675, 2520, 5255, 1258, 1108, 24598, 1231, 6580, 540, 2326, 689, 14368, 2572, 267, 519, 681, 1156, 1756, 1700, 657, 26606, 2520, 5255, 1258, 1108, 568, 1759, 593, 14599, 9178, 540, 563, 3725, 543, 14642, 616, 2699, 2135, 25259, 543, 1418, 30858, 267, 543, 666, 581, 23353, 538, 1761, 8652, 21666, 2707, 7725, 267, 13545, 521, 1343, 267, 19020, 3282, 267, 543, 3787, 18210, 269, 1234, 268, 11675, 2520, 5255, 1258, 1108, 540, 891, 5214, 11656, 5439, 814, 519, 1761, 585, 1463, 6580, 519, 942, 7406, 540, 8652, 21666, 5250, 267, 9194, 610, 5279, 1369, 513, 19386, 1062, 269, 3371, 267, 649, 2689, 930, 2101, 4080, 2013, 2090, 593, 519, 1234, 268, 11675, 2520, 5255, 1258, 1108, 540, 3282, 543, 3154, 23854, 936, 519, 2063, 8717, 563, 16966, 21073, 9509, 3667, 711, 2139, 269, 7392, 4750, 9137, 269, 5450, 20631, 8058, 2407, 6221, 2594, 269, 27375, 9149, 267, 2098, 269, 20396, 31192, 3427, 4972, 540, 14716, 5004, 563, 10932, 630, 290, 6412, 531, 1234, 268, 11675, 2983, 5255, 1258, 1108, 994, 14946, 618, 540, 1234, 268, 11675, 2520, 5255, 1258, 1108, 585, 12933, 531, 14290, 814, 1044, 5571, 2094, 538, 519, 8047, 269, 901, 960, 814, 8507, 538, 2101, 7760, 538, 519, 1463, 13666, 8084, 6580, 540, 12933, 531, 30423, 6886, 267, 19386, 2707, 268, 549, 4242, 267, 543, 2067, 30691, 267, 1210, 1234, 268, 11675, 24745, 269, 1280, 30423, 6886, 267, 1234, 268, 11675, 2520, 5255, 1258, 1108, 814, 1463, 3498, 547, 519, 12557, 543, 8653, 540, 8652, 31516, 7626, 16005, 5250, 563, 305, 1156, 1756, 543, 23015, 1756, 616, 1418, 30858, 543, 24903, 2699, 2135, 13001, 338, 17567, 267, 19881, 3498, 540, 519, 1234, 1700, 11675, 1062, 547, 519, 6580, 540, 563, 25567, 320, 282, 4639, 540, 2701, 339, 4133, 3282, 26753, 269, 17286, 2421, 779, 1382, 814, 2919, 513, 2189, 2520, 12950, 1907, 7901, 1210, 678, 1156, 1756, 267, 23015, 1756, 267, 31091, 543, 23080, 18123, 602, 1526, 1778, 811, 4977, 17027, 3631, 3056, 547, 1732, 15395, 11236, 269, 634, 1907, 7901, 2488, 5892, 28998, 17027, 942, 10148, 543, 2707, 8446, 540, 2200, 552, 269, 634, 30343, 1382, 5645, 856, 676, 17286, 2421, 570, 5588, 3201, 24153, 538, 8891, 15950, 2983, 657, 7220, 267, 12912, 543, 1010, 1382, 1895, 693, 20736, 5069, 2160, 689, 13393, 547, 1459, 9607, 32618, 4081, 2872, 5829, 2152, 7282, 519, 1646, 540, 7449, 16577, 3047, 2200, 563, 11854, 32496, 267, 4010, 950, 267, 875, 543, 1141, 798, 2200, 267, 971, 607, 3282, 543, 7601, 267, 1106, 538, 7725, 286, 30551, 543, 6639, 8441, 267, 2919, 538, 851, 676, 1382, 693, 20736, 5069, 267, 723, 15868, 519, 946, 540, 5892, 4101, 2520, 12950, 2409, 547, 948, 2626, 2025, 267, 855, 9691, 1271, 17027, 2055, 269, 17286, 2421, 267, 1010, 1382, 1895, 543, 3486, 21769, 476, 277, 12854, 1053, 267, 476, 273, 2022, 28273, 28118, 3173, 267, 2136, 2276, 543, 4516, 24959, 11752, 1382, 5234, 282, 4515, 563, 2026, 513, 1463, 1267, 267, 17286, 2421, 779, 1382, 814, 3989, 543, 8476, 519, 8856, 543, 1620, 540, 1234, 268, 11675, 543, 623, 323, 6261, 339, 10763, 10873, 543, 3693, 531, 7180, 538, 7725, 543, 6886, 269, 901, 814, 4824, 938, 1620, 540, 4719, 3631, 585, 1312, 7777, 543, 8652, 21666, 1949, 1547, 769, 1764, 2474, 267, 519, 6364, 11729, 2565, 2556, 1239, 2838, 585, 3408, 15961, 1496, 4089, 476, 275, 14073, 27407, 17286, 2421, 779, 1382, 814, 3254, 602, 519, 1234, 268, 11675, 1062, 666, 581, 4294, 1454, 811, 4922, 982, 5892, 2219, 543, 814, 5116, 20736, 5069, 693, 519, 21282, 538, 519, 946, 540, 713, 3209, 1382, 1907, 1312, 27268, 543, 998, 2872, 269, 901, 5718, 729, 18931, 676, 519, 8366, 540, 519, 5261, 8055, 8750, 547, 17286, 2421, 689, 519, 24959, 5980, 540, 5507, 585, 17284, 538, 7418, 547, 4294, 543, 2804, 3344, 540, 519, 2257, 543, 676, 519, 570, 5588, 3201, 19386, 2754, 945, 2508, 17286, 2421, 779, 2990, 693, 20736, 5069, 563, 17445, 32619, 6580, 540, 8652, 21666, 12074, 1210, 681, 1156, 1756, 14114, 8243, 1756, 24745, 563, 25542, 15745, 338, 616, 519, 1655, 269, 11289, 1411, 585, 2659, 2552, 9084, 256, 1703, 729, 513, 1966, 609, 707, 19169, 269, 7490, 2119, 1586, 2663, 563, 305, 1156, 1756, 1700, 657, 26606, 6580, 267, 1505, 540, 8159, 519, 2085, 540, 519, 1271, 7626, 7777, 544, 8432, 321, 6577, 924, 282, 519, 1505, 568, 1759, 2390, 519, 14599, 9178, 540, 563, 1607, 1867, 6799, 519, 2164, 540, 678, 1156, 1756, 268, 657, 26606, 1234, 268, 11675, 24236, 2079, 5340, 593, 476, 1556, 5214, 11656, 543, 10237, 8328, 32549, 5439, 689, 519, 1739, 8061, 20897, 543, 30083, 26226, 21272, 538, 3844, 543, 7187, 22598, 15545, 7351, 2143, 14404, 15572, 545, 960, 693, 519, 589, 14899, 2882, 606, 4674, 547, 8207, 24604, 3823, 519, 2085, 543, 14404, 15572, 545, 2990, 540, 513, 1297, 540, 14404, 15572, 545, 4559, 267, 1759, 593, 5730, 24236, 6580, 563, 13146, 8441, 538, 6580, 5214, 11656, 695, 2297, 1210, 519, 1234, 268, 11675, 24236, 1062, 723, 4847, 721, 547, 4266, 1271, 8652, 21666, 2707, 7725, 538, 519, 5375, 4516, 20767, 21747, 19438, 269, 589, 267, 570, 5448, 267, 808, 269, 22598, 24959, 11752, 269, 8191, 521, 623, 3570, 267, 667, 269, 11511, 6471, 267, 681, 269, 570, 5448, 267, 808, 269, 7591, 614, 267, 570, 269, 4856, 27451, 267, 670, 269, 670, 879, 1188, 267, 570, 563, 657, 26606, 24745, 678, 1156, 1756, 454, 302, 24810, 7270, 946, 269, 9523, 6213, 1344, 1152, 593, 4013, 267, 5150, 7270, 269, 1234, 1765, 11675, 2520, 5255, 1258, 1108, 540, 519, 22725, 755, 9068, 5682, 5211, 19725, 281, 29362, 883, 1463, 18254, 531, 6580, 540, 22725, 755, 9068, 1967, 687, 267, 1234, 1765, 11675, 1062, 18267, 543, 12779, 665, 2632, 514, 1581, 29056, 3047, 543, 4643, 8767, 3163, 16707, 269, 1635, 281, 966, 643, 1329, 631, 269, 30086, 755, 9068, 24348, 1967, 687, 1683, 24215, 1164, 22822, 5638, 540, 18626, 17027, 3157, 267, 14775, 547, 29684, 267, 20296, 543, 4012, 15122, 7506, 563, 4322, 1967, 687, 616, 4061, 1898, 585, 12633, 908, 17027, 543, 20296, 9259, 2066, 17407, 543, 2417, 3467, 519, 8608, 563, 305, 1156, 1756, 1700, 657, 26606, 6580, 269, 681, 1156, 1756, 543, 744, 8243, 1756, 941, 9244, 18195, 800, 543, 521, 3187, 2684, 850, 1282, 519, 3355, 934, 4958, 542, 540, 519, 3047, 799, 3361, 563, 288, 1505, 540, 32619, 6580, 1759, 593, 519, 9178, 540, 678, 1156, 1756, 1234, 547, 23015, 1756, 14642, 2073, 609, 513, 3368, 3734, 540, 476, 275, 269, 7457, 547, 519, 2347, 1543, 593, 10228, 13129, 3340, 513, 20478, 610, 6718, 269, 5398, 3755, 616, 2111, 547, 3406, 519, 3135, 543, 2070, 519, 7493, 338, 543, 17161, 585, 1142, 1433, 543, 3184, 1510, 513, 20478, 269, 7490, 24049, 610, 21189, 547, 1569, 2407, 1257, 1543, 269, 1403, 596, 723, 12349, 513, 1820, 2140, 602, 3568, 606, 1569, 18351, 267, 5225, 1294, 519, 18351, 585, 1344, 827, 875, 547, 11578, 707, 3009, 269, 0, 268, 1548, 568, 519, 1448, 540, 519, 561, 17415, 888, 268, 4208, 1705, 789, 561, 2393, 3077, 888, 268, 1548, 568, 519, 6530, 540, 561, 17415, 888, 268, 1548, 568, 519, 2495, 540, 561, 2393, 619, 888, 268, 2052, 596, 1404, 4666, 538, 2112, 888, 268, 1772, 621, 10363, 547, 6146, 21127, 538, 2112, 888, 268, 1548, 1281, 4662, 3386, 1611, 888, 268, 1772, 561, 17415, 513, 2112, 6760, 888, 268, 1548, 798, 596, 798, 1282, 513, 678, 3999, 888, 268, 2052, 7980, 561, 2393, 888, 268, 1548, 1281, 555, 1872, 1611, 888, 268, 1548, 1281, 1486, 6856, 1611, 888, 1432, 568, 519, 1448, 540, 519, 561, 17415, 888, 299, 17415, 676, 513, 4619, 16124, 7952, 1282, 2112, 814, 1044, 1455, 2259, 2429, 6592, 1686, 563, 293, 2393, 7980, 9763, 726, 8974, 607, 513, 1259, 547, 7110, 606, 1419, 803, 698, 516, 4747, 543, 11843, 5763, 2968, 851, 540, 519, 11812, 540, 11802, 10756, 3963, 1705, 789, 561, 2393, 3077, 888, 763, 27010, 4558, 729, 561, 2393, 539, 1282, 513, 13889, 1996, 519, 2669, 540, 4469, 20477, 267, 513, 476, 5379, 4458, 6040, 796, 28534, 3109, 812, 945, 729, 7166, 593, 11728, 1310, 513, 3043, 7128, 11464, 267, 667, 699, 330, 932, 879, 9109, 267, 5679, 3881, 593, 1010, 8405, 1282, 606, 10654, 563, 1432, 568, 519, 6530, 540, 561 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1524, 2072, 538, 606, 21933, 1664, 4287, 547, 519, 1647, 540, 519, 627, 528, 331, 267, 1287, 621, 14258, 21933, 1664, 569, 585, 2072, 547, 519, 897, 636, 7578, 269, 634, 897, 636, 7578, 568, 2786, 267, 5594, 10630, 543, 16813, 559, 5344, 269, 634, 30085, 568, 1134, 3989, 267, 519, 1560, 627, 528, 331, 568, 1804, 543, 519, 27934, 568, 2647, 269, 634, 2627, 540, 519, 7387, 568, 25861, 569, 4174, 730, 267, 519, 4174, 2801, 1246, 1482, 1576, 607, 519, 6316, 540, 519, 27934, 269, 2311, 519, 1377, 540, 519, 25034, 566, 540, 519, 27934, 519, 4174, 2801, 7455, 23651, 543, 20733, 547, 1106, 513, 1183, 601, 1472, 519, 1804, 1560, 627, 528, 331, 630, 297, 13183, 2088, 16813, 32281, 1092, 476, 272, 267, 3967, 628, 2088, 16813, 32281, 1092, 476, 273, 1040, 634, 1766, 1529, 636, 568, 15534, 538, 4079, 267, 519, 28287, 616, 1804, 267, 519, 2234, 3121, 568, 1507, 543, 519, 4522, 616, 3875, 855, 519, 3844, 4522, 616, 15877, 563, 9515, 961, 4463, 909, 547, 476, 280, 6515, 267, 4463, 27934, 909, 547, 476, 277, 6515, 267, 8700, 540, 27934, 909, 547, 476, 275, 269, 276, 6515, 563, 763, 5104, 32596, 723, 513, 632, 868, 337, 958, 1071, 6150, 7387, 269, 589, 2027, 6609, 568, 711, 2139, 563, 1607, 2249, 568, 513, 642, 643, 760, 541, 748, 267, 1486, 663, 878, 1200, 332, 7469, 16967, 924, 563, 1607, 2249, 568, 513, 23097, 5387, 2627, 17743, 518, 799, 20555, 593, 966, 25279, 12848, 267, 3967, 628, 514, 13160, 267, 670, 8932, 984, 520, 13160, 543, 590, 13023, 517, 641, 1817, 320, 563, 1607, 2249, 568, 1336, 538, 3636, 1216, 540, 782, 12084, 1519, 519, 4414, 7256, 267, 1294, 519, 3967, 628, 2088, 16813, 32281, 1092, 4786, 563, 297, 13183, 2088, 16813, 32281, 1092, 546, 262, 7775, 321, 793, 344, 267, 476, 7277, 272, 281, 476, 29300, 563, 15650, 711, 8612, 563, 13911, 1327, 1275, 281, 4440, 689, 519, 18010, 543, 4165, 650, 1014, 7297, 269, 0, 8967, 2001, 15098, 13315, 10936, 7206, 267, 10936, 3282, 532, 267, 543, 10936, 13058, 269, 769, 713, 2796, 267, 10936, 7206, 543, 10936, 3282, 532, 616, 2808, 519, 1482, 1184, 543, 786, 581, 15217, 5219, 547, 607, 10936, 7206, 269, 32254, 15098, 267, 849, 1634, 607, 5068, 30574, 267, 568, 513, 1114, 1184, 543, 786, 581, 5219, 547, 607, 8869, 15098, 538, 713, 2376, 269, 1975, 2001, 13058, 267, 1419, 1031, 585, 1804, 11265, 5374, 3889, 610, 1164, 24683, 663, 4496, 960, 20355, 267, 786, 711, 581, 519, 1445, 540, 713, 4901, 269, 2913, 779, 2911, 827, 8869, 15098, 5288, 7206, 538, 18634, 2221, 563, 16449, 782, 519, 2627, 2126, 2010, 5018, 267, 10936, 7206, 568, 24903, 519, 14724, 269, 898, 3322, 26311, 5862, 883, 513, 7463, 10936, 7206, 3926, 543, 1210, 513, 10936, 7784, 547, 10359, 519, 32179, 269, 634, 4062, 568, 1287, 2451, 547, 3819, 6923, 610, 568, 12015, 1210, 1164, 3002, 269, 4935, 267, 621, 779, 513, 5266, 3551, 2168, 1184, 563, 763, 3937, 543, 2553, 1031, 538, 891, 3157, 4268, 267, 3056, 547, 3604, 538, 9403, 543, 1942, 563, 11795, 3720, 9737, 1975, 2001, 27006, 543, 32254, 3213, 908, 454, 4131, 779, 13713, 7291, 741, 1883, 3604, 912, 8967, 2001, 27006, 5288, 269, 32254, 3213, 908, 281, 1975, 2001, 7206, 568, 513, 4480, 540, 12165, 532, 5277, 5862, 267, 4122, 5219, 547, 607, 5862, 883, 5386, 7452, 5536, 799, 616, 27762, 593, 519, 2627, 540, 606, 1843, 1210, 19316, 2011, 269, 32254, 15098, 267, 593, 519, 824, 1688, 3096, 19316, 2011, 547, 10936, 8869, 538, 513, 1164, 19581, 5653, 6850, 18878, 2361, 269, 634, 8869, 5536, 616, 1287, 6537, 2509, 519, 2627, 540, 519, 1843, 1210, 606, 3167, 2361, 563, 763, 22043, 12910, 585, 32254, 3213, 908, 281, 32254, 15098, 607, 513, 1184, 568, 5265, 5219, 547, 607, 968, 19491, 15543, 1738, 8869, 15098, 1848, 898, 779, 711, 519, 4990, 540, 4305, 602, 666, 581, 12913, 1210, 1175, 606, 8723, 10936, 5862, 7784, 269, 16811, 585, 8869, 15098, 13408, 513, 8869, 3761, 22902, 1210, 19316, 2011, 267, 513, 4400, 19581, 5653, 6850, 18878, 11718, 543, 606, 6850, 18878, 10936, 7784, 269, 30482, 543, 11255, 32340, 616, 519, 5068, 8869, 1031, 538, 713, 1184, 269, 634, 1292, 2186, 568, 30482, 8869, 1500, 540, 3134, 20293, 18300, 267, 799, 538, 2474, 540, 5888, 15320, 21739, 689, 519, 5862, 563, 26046, 540, 18567, 1280, 24951, 32254, 3213, 908, 5288, 27006, 454, 303, 32535, 3213, 908, 6713, 454, 272, 269, 3143, 3752, 24000, 538, 32254, 3213, 520, 902, 912, 303, 32535, 23541, 798, 711, 2270, 1022, 30177, 543, 616, 476, 1911, 260, 4396, 269, 901, 2460, 9607, 5533, 2152, 3361, 676, 30177, 1282, 5663, 267, 6283, 267, 4859, 267, 543, 3498, 269, 898, 10607, 519, 2324, 2175, 585, 12427, 543, 2640, 741, 1072, 563, 273, 269, 22217, 1881, 3213, 908, 6713, 912, 763, 8869, 15098, 1184, 3322, 1175, 1614, 3268, 281, 30574, 519, 8869, 267, 27955, 267, 543, 9023, 267, 3850, 585, 513, 835, 9912, 4670, 5250, 269, 901, 16134, 3648, 6908, 6050, 519, 15098, 1184, 267, 2110, 839, 519, 2504, 4783, 267, 543, 6087, 1587, 3977, 593, 519, 1482, 1554, 269, 769, 6850, 18878, 8869, 15098, 267, 519, 5610, 540, 13128, 15098, 12227, 543, 513, 9657, 1062, 666, 1291, 547, 12747, 2504, 267, 9494, 1648, 543, 2200, 543, 7393, 7607, 563, 274, 269, 4400, 13139, 1436, 15580, 540, 32254, 3213, 520, 902, 912, 303, 32535, 23541, 666, 581, 2047, 4294, 547, 519, 2627, 540, 519, 1843, 543, 23174, 676, 11256, 547, 1106, 513, 15098, 269, 1133, 4310, 8869, 666, 581, 6394, 543, 32419, 267, 609, 513, 13345, 2557, 540, 936, 476, 4817, 18336, 275, 269, 667, 9092, 543, 4400, 6261, 518, 18504, 32254, 3213, 520, 902, 912, 303, 32535, 23541, 666, 581, 1500, 689, 759, 1231, 602, 616, 1202, 20107, 693, 4055, 2837, 610, 1164, 2173, 12817, 27954, 759, 1231, 602, 3112, 581, 4508, 1030, 1221, 269, 901, 2164, 538, 1164, 26024, 23541, 609, 1585, 29782, 269, 634, 9000, 540, 30177, 538, 519, 7041, 610, 4670, 5250, 1184, 11151, 8930, 32440, 538, 519, 15098, 267, 1818, 621, 16437, 518, 563, 276, 269, 2290, 6874, 830, 3213, 908, 25334, 2225, 912, 288, 2582, 3498, 540, 8869, 15098, 666, 3035, 513, 4670, 11098, 540, 476, 2004, 547, 476, 4968, 32755, 1510, 519, 5671, 6137, 610, 29345, 3101, 2152, 1455, 609, 5394, 5862, 3156, 269, 898, 849, 30417, 19857, 8930, 32440, 543, 12889, 2404, 609, 5394, 4670, 23541, 267, 543, 3091, 1164, 6316, 3795, 269, 769, 4334, 267, 5862, 3335, 3340, 2789, 3156, 547, 3035, 513, 2147, 11098, 610, 2298, 563, 277, 269, 12694, 538, 7822, 21744, 912, 19284, 5862, 267, 799, 666, 581, 6404, 593, 21935, 267, 519, 2681, 540, 8869, 23541, 568, 24441, 693, 519, 12051, 269, 21744, 519, 2681, 3340, 19249, 519, 8869, 15098, 4542, 267, 1818, 2656, 2681, 2242, 4101, 269, 5082, 15543, 1738, 30574, 19329, 9488, 7738, 540, 519, 10936, 7784, 267, 8869, 28680, 267, 10936, 12068, 267, 3560, 12992, 267, 543, 9657, 1062, 1282, 2681, 2242, 267, 2523, 950, 15175, 1063, 4158, 543, 1769, 4778, 563, 278, 269, 30975, 538, 19793, 1324, 774, 514, 8606, 916, 912, 18814, 547, 519, 3741, 540, 6850, 18878, 30574, 267, 519, 11098, 540, 8869, 23541, 568, 3622, 1657, 476, 2004, 32755, 269, 4634, 609, 1164, 7779, 8869, 23541, 543, 6099, 2175, 267, 8236, 513, 4670, 11098, 2630, 476, 2412, 32755, 568, 4101, 563, 279, 269, 590, 2775, 569, 769, 2536, 1640, 17183, 3911, 26743, 1145, 912, 303, 32535, 23541, 267, 799, 7048, 593, 3002, 14001, 13621, 543, 1377, 532, 593, 519, 1843, 267, 723, 513, 2362, 13621, 25297, 269, 901, 666, 1267, 538, 513, 5594, 10538, 24406, 601, 9403, 267, 1818, 519, 15098, 1447, 5347, 982, 5862, 563, 280, 269, 15742, 7799, 14591, 912, 763, 7687, 540, 519, 8869, 15098, 1184, 616, 5631, 538, 1614, 2127, 281, 3689, 267, 2094, 519, 27955, 2837, 540, 8869, 23541, 568, 3622, 1657, 476, 8182, 9180, 267, 713, 9673, 1206, 741, 946, 593, 3002, 25259, 2472, 899, 15229, 269, 5822, 267, 607, 1034, 8869, 15098, 3157, 946, 6850, 18878, 30574, 267, 519, 1843, 1590, 581, 25801, 269, 6348, 31475, 28351, 3615, 2154, 25801, 2126, 543, 1590, 16641, 5210, 1657, 476, 8182, 9180, 563, 8967, 2001, 27006, 6713, 454, 272, 269, 22453, 7352, 1214, 540, 10266, 1206, 912, 19770, 11008, 3278, 19267, 883, 11157, 8696, 2101, 2010, 267, 609, 5215, 540, 8677, 2139, 267, 543, 1007, 2010, 616, 16111, 6932, 269, 20305, 666, 2824, 519, 1034, 5078, 5862, 1759, 593, 1587, 2773, 267, 6165, 267, 543, 2825, 2188, 547, 3035, 6099, 15098, 2164, 563, 273, 269, 18043, 6713, 9828, 912, 8967, 2001, 7206, 3082, 338, 1134, 547, 1585, 2409, 267, 1519, 11453, 7206, 267, 16702, 15098, 267, 2095, 15098, 267, 16945, 15098, 267, 17180, 15098, 267, 2011, 10936, 7206, 267, 1164, 25774, 2011, 1652, 10936, 7206, 267, 32661, 648, 6776, 7206, 267, 543, 6850, 18878, 10936, 7206, 269, 7324, 891, 267, 11453, 7206, 267, 2011, 10936, 7206, 267, 543, 32661, 648, 6776, 7206, 616, 4922, 1031, 563, 274, 269, 13722, 19461, 16811, 20971, 912, 8967, 2001, 7206, 3937, 5631, 2882, 10936, 15963, 267, 2011, 14771, 832, 267, 3282, 21226, 3021, 2209, 267, 543, 2556, 2011, 554, 4680, 269, 22702, 547, 519, 8101, 5092, 2838, 585, 8869, 15098, 3937, 267, 10936, 7206, 3322, 1447, 3355, 3854, 267, 2539, 2504, 3790, 267, 543, 18334, 3854, 6051, 563, 275, 269, 22217, 1881, 2776, 2389, 13015, 6713, 912, 1103, 10936, 7206, 267, 7064, 547, 519, 5140, 15309, 1790, 516, 3685, 3601, 540, 2215, 619, 543, 741, 1434, 28455, 547, 1312, 26828, 543, 1283, 1723, 1846, 267, 519, 14809, 4187, 540, 519, 15098, 568, 3648, 8476, 267, 4180, 519, 15325, 540, 519, 15098, 269, 8307, 2554, 516, 2084, 543, 3541, 755, 532, 5574, 616, 2877, 1354, 7311, 519, 29194, 267, 7551, 28976, 519, 840, 2389, 13015, 1184, 267, 9494, 2504, 3790, 267, 543, 5355, 4398, 563, 276, 269, 7043, 518, 13870, 18888, 543, 14451, 15788, 8779, 912, 8967, 2001, 7206, 3322, 811, 3268, 982, 8869, 15098, 269, 4438, 3498, 267, 621, 3340, 519, 946, 540, 2215, 619, 267, 2322, 2906, 267, 6094, 2996, 267, 543, 1283, 1723, 1846, 267, 609, 15018, 942, 2877, 1063, 1142, 1900, 269, 2368, 19267, 849, 2154, 3002, 15018, 269, 4475, 267, 6236, 1570, 4616, 267, 1648, 946, 267, 543, 4074, 3790, 267, 519, 2949, 1942, 540, 10936, 7206, 568, 2362, 982, 8869, 15098, 267, 543, 519, 2504, 4783, 568, 3476, 563, 277, 269, 18648, 7025, 13437, 912, 295, 1301, 995, 547, 7358, 2209, 685, 2657, 281, 10266, 1206, 2270, 5214, 30177, 602, 666, 2019, 520, 559, 1125, 883, 519, 2011, 1282, 3498, 543, 27955, 269, 5794, 10936, 7206, 7472, 513, 1713, 2179, 540, 936, 4944, 2001, 543, 5862, 5134, 267, 799, 568, 5739, 547, 1072, 267, 26089, 519, 946, 540, 8825, 13968, 676, 12427, 563, 278, 269, 14451, 9605, 32126, 22702, 547, 32254, 3213, 908, 912, 8967, 2001, 7206, 13514, 513, 2362, 3595, 1981, 982, 8869, 15098, 585, 1896, 4128, 281, 3689, 267, 519, 5214, 30177, 538, 5862, 616, 3810, 19979, 543, 666, 3362, 5337, 924, 610, 1011, 1712, 2390, 3346, 609, 1930, 26428, 610, 31168, 269, 32254, 23541, 798, 711, 2270, 5214, 30177, 267, 3976, 9306, 513, 2539, 1981, 269, 5822, 267, 519, 8755, 1448, 267, 27307, 1448, 267, 543, 27307, 1648, 540, 5862, 616, 2539, 982, 1346, 540, 8869, 23541, 267, 3056, 547, 5488, 13674, 3262, 269, 14936, 267, 519, 14910, 3937, 267, 2324, 1604, 267, 543, 10512, 5773, 538, 2011, 10936, 7206, 616, 3622, 1447, 4359, 982, 538, 8869, 15098, 267, 2810, 519, 1981, 540, 3595, 563, 2005, 779, 1271, 547, 4063, 602, 1247, 10936, 7206, 814, 513, 2362, 3595, 1981, 982, 8869, 15098, 267, 538, 519, 4686, 2680, 540, 606, 16411, 267, 519, 8515, 543, 16160, 1379, 540, 513, 8869, 15098, 16411, 666, 581, 1454, 3152, 982, 602, 540, 5277, 19267, 563, 303, 32535, 3213, 908, 5288, 27006, 15788, 18948, 454, 20245, 8177, 281, 32254, 15098, 568, 1419, 2938, 607, 1373, 1447, 17672, 547, 519, 1604, 982, 3044, 10936, 7206, 269, 898, 32307, 14758, 5666, 540, 19979, 5214, 7135, 630, 309, 31237, 264, 602, 616, 5739, 547, 1480, 1072, 543, 519, 1604, 563, 291, 13701, 543, 5685, 880, 281, 13575, 8869, 15098, 3947, 513, 23198, 543, 811, 1256, 9096, 982, 10936, 7206, 269, 898, 568, 811, 11259, 547, 669, 6235, 267, 31153, 543, 824, 5957, 543, 15237, 1818 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1085, 28123, 593, 2486, 269, 2311, 2053, 621, 779, 513, 1434, 2856, 547, 5595, 27902, 547, 10018, 519, 2979, 1568, 856, 780, 763, 1034, 1455, 3446, 568, 476, 272, 560, 6103, 267, 865, 602, 779, 519, 7154, 269, 1703, 779, 1100, 3668, 540, 5140, 3450, 2994, 585, 3450, 2979, 538, 3860, 2081, 269, 1403, 1053, 616, 4617, 538, 519, 4909, 2035, 267, 519, 12918, 540, 873, 4742, 2178, 538, 519, 811, 14969, 2035, 568, 3833, 28489, 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 ]
[ 0, 2005, 531, 545, 1125, 610, 10839, 4760, 2376, 10643, 454, 2421, 966, 5085, 22849, 645, 269, 5788, 454, 2690, 1773, 965, 3333, 732, 23670, 3827, 972, 616, 811, 1100, 7440, 1063, 519, 3688, 1498, 972, 616, 19421, 1354, 543, 1310, 519, 3197, 269, 1403, 707, 682, 2758, 1281, 8197, 723, 513, 20396, 7485, 3634, 267, 946, 713, 2144, 560, 540, 519, 15745, 607, 519, 20396, 8482, 568, 21483, 543, 2760, 10678, 563, 268, 19928, 12781, 262, 4408, 7831, 12995, 4266, 269, 13575, 267, 946, 519, 2407, 2012, 540, 513, 9304, 267, 543, 3095, 621, 593, 922, 1101, 5920, 952, 2296, 6741, 5474, 616, 2693, 547, 581, 14542, 609, 621, 476, 7367, 6902, 7766, 20825, 666, 946, 519, 9304, 1129, 1175, 476, 6434, 12652, 269, 1215, 547, 2422, 32228, 923, 269, 744, 340, 1058, 24495, 545, 1125, 519, 10643, 540, 1279, 3860, 1568, 538, 269, 681, 1383, 281, 634, 9931, 9335, 4750, 568, 519, 269, 4014, 519, 2140, 540, 513, 4760, 2376, 610, 1433, 269, 9210, 519, 24495, 923, 543, 3854, 1436, 540, 519, 269, 661, 875, 519, 1433, 543, 2376, 10643, 1413, 950, 3854, 1242, 563, 268, 2372, 582, 725, 602, 616, 16627, 1058, 581, 12799, 13747, 689, 1346, 602, 616, 711, 269, 4750, 2376, 267, 1433, 269, 589, 1433, 2140, 896, 20040, 610, 24495, 545, 1242, 950, 17511, 538, 16643, 3898, 798, 596, 896, 1467, 10643, 286, 32228, 545, 1125, 286, 10925, 3330, 10839, 7436, 27085, 769, 606, 1557, 267, 950, 596, 2446, 606, 2376, 798, 596, 896, 1467, 267, 24495, 545, 1125, 267, 610, 2322, 24324, 888, 268, 7151, 281, 1323, 7701, 5433, 7210, 609, 519, 2770, 19108, 269, 1684, 596, 24495, 545, 1125, 519, 2140, 540, 513, 4760, 27085, 1411, 896, 1467, 610, 24495, 545, 1125, 519, 10643, 540, 9954, 286, 1280, 10643, 540, 1034, 9954, 946, 946, 19722, 7436, 269, 769, 606, 1557, 267, 950, 596, 2446, 606, 2376, 798, 596, 896, 1467, 267, 24495, 545, 1125, 267, 610, 2322, 24324, 888, 268, 3776, 14905, 3898, 11718, 267, 610, 14905, 11239, 32063, 267, 5932, 707, 14327, 3533, 543, 3362, 269, 4750, 2376, 267, 1433, 269, 589, 1433, 2140, 896, 20040, 610, 24495, 545, 1242, 950, 17511, 538, 16643, 3898, 798, 596, 896, 1467, 10643, 286, 32228, 545, 1125, 286, 10925, 3330, 10839, 7436, 286, 563, 268, 8307, 31194, 519, 1101, 4484, 1141, 713, 568, 6923, 1572, 585, 267, 610, 950, 4481, 13288, 547, 519, 5532, 2376, 676, 922, 2012, 281, 616, 1419, 267, 855, 1152, 10355, 1294, 269, 1548, 798, 596, 2322, 538, 834, 638, 21320, 7436, 22172, 9137, 10643, 689, 17476, 267, 14786, 267, 13746, 269, 2311, 798, 596, 24495, 545, 1125, 286, 8794, 32228, 923, 543, 7201, 23164, 269, 4985, 269, 2422, 24495, 923, 269, 1684, 711, 24495, 545, 1125, 519, 10643, 540, 1279, 10723, 1568, 281, 519, 6426, 267, 519, 31704, 534, 563, 268, 5565, 585, 1010, 2063, 476, 1704, 16248, 16125, 538, 476, 1556, 693, 1532, 1846, 12749, 476, 1015, 267, 855, 1283, 2947, 267, 1283, 1614, 4415, 13836, 10391, 2474, 267, 519, 1739, 6163, 1058, 581, 1031, 281, 289, 520, 1154, 3328, 568, 269, 25315, 956, 281, 1879, 547, 32228, 545, 1125, 267, 7201, 1467, 267, 610, 2422, 269, 25315, 956, 267, 596, 666, 2901, 24495, 545, 1125, 873, 610, 269, 654, 9263, 12649, 4760, 4930, 1521, 3014, 10643, 607, 3756, 616, 513, 269, 14474, 1154, 25315, 956, 540, 31157, 538, 17090, 13910, 269, 715, 1968, 16390, 269, 661, 572, 3652, 4019, 547, 10643, 538, 519, 1257, 267, 538, 2385, 16375, 14327, 267, 543, 538, 3718, 24764, 2985, 13366, 563, 763, 12968, 652, 547, 6153, 1145, 18266, 593, 24495, 545, 1125, 610, 10839, 4760, 2376, 10643, 454, 310, 7364, 24495, 545, 1125, 610, 10839, 4760, 2376, 10643, 513, 15028, 1134, 540, 519, 267, 513, 1875, 17416, 28855, 344, 269, 769, 606, 27727, 267, 950, 596, 476, 20488, 606, 556, 4621, 573, 3130, 798, 596, 8404, 267, 24495, 545, 1125, 267, 24495, 545, 1125, 610, 10839, 4760, 2376, 10643, 2322, 621, 269, 1280, 267, 568, 1310, 718, 331, 267, 1310, 22433, 269, 1284, 1131, 660, 6775, 519, 14803, 5224, 540, 519, 13804, 320, 14295, 320, 3450, 519, 1863, 532, 19802, 610, 519, 14265, 1017, 540, 23531, 13419, 1005, 16042, 1022, 540, 519, 7399, 610, 519, 15240, 656, 658, 12791, 540, 519, 2353, 18223, 269, 20226, 281, 594, 3769, 596, 594, 7000, 596, 269, 5403, 12392, 2123, 6898, 5439, 14474, 3571, 14313, 281, 7201, 6050, 267, 28397, 1356, 269, 3367, 338, 547, 9320, 2904, 327, 777, 2659, 8211, 1023, 281, 2701, 267, 32228, 923, 269, 589, 997, 1125, 267, 610, 2322, 513, 1808, 269, 1215, 798, 594, 561, 712, 606, 18241, 1369, 606, 14905, 5086, 269, 1772, 621, 538, 24795, 610, 10259, 27085, 1411, 616, 17911, 519, 2012, 540, 513, 3259, 267, 519, 26363, 2012, 1131, 581, 538, 7350, 269, 1215, 798, 594, 4626, 564, 762, 606, 556, 4621, 573, 3130, 1369, 606, 14905, 17945, 269, 1772, 621, 538, 2127, 610, 1646, 27085, 1411, 616, 3257, 519, 2012, 540, 513, 1808, 267, 519, 14909, 2012, 1131, 581, 538, 3375, 563, 6011, 547, 2328, 606, 2079, 1557, 593, 513, 4633, 910, 11137, 454, 3963, 950, 594, 1651, 2787, 513, 25499, 1946, 1082, 5098, 856, 563, 268, 1280, 1383, 281, 2690, 513, 15682, 17609, 1210, 12380, 267, 596, 949, 4283, 561, 338, 620, 269, 594, 1131, 4363, 513, 3935, 547, 5094, 519, 2140, 689, 519, 5705, 1856, 267, 3226, 952, 1312, 616, 593, 519, 1482, 1899, 269, 16692, 3201, 5058, 23166, 570, 3951, 299, 2464, 5442, 17090, 11123, 21316, 269, 8493, 1652, 540, 952, 621, 568, 606, 2376, 610, 840, 6570, 269, 715, 1457, 1467, 610, 24495, 545, 1125, 1804, 1568, 610, 1568, 602, 2270, 824, 1568, 269, 1684, 596, 24495, 545, 1125, 519, 2140, 540, 513, 4760, 27085, 1411, 896, 1467, 610, 24495, 545, 1125, 519, 10643, 540, 9954, 286, 1280, 10643, 540, 1034, 9954, 946, 946, 19722, 7436, 563, 268, 1684, 711, 723, 930, 5220, 1224, 834, 821, 16519, 21144, 257, 25250, 856, 543, 1866, 834, 273, 16519, 268, 276, 257, 10230, 269, 1530, 3517, 28551, 547, 596, 782, 269, 4635, 32228, 923, 543, 7201, 23164, 269, 4985, 269, 2422, 24495, 923, 269, 1684, 711, 24495, 545, 1125, 519, 10643, 540, 1279, 10723, 1568, 281, 519, 6426, 267, 519, 31704, 534, 269, 7743, 569, 14474, 2659, 25315, 956, 281, 7201, 6050, 267, 32228, 923, 269, 13786, 525, 547, 7743, 569, 14474, 2659, 25315, 956, 281, 7201, 6050, 267, 32228, 923, 269, 589, 997, 1125, 267, 610, 2322, 513, 19722, 563, 268, 590, 3415, 1175, 9250, 519, 10600, 16595, 12676, 3556, 269, 1717, 267, 24735, 10259, 543, 1462, 4919, 6959, 1058, 3274, 581, 22621, 1510, 6085, 585, 1383, 267, 2953, 2596, 569, 547, 10416, 543, 3771, 817, 338, 618, 547, 18275, 2073, 8259, 519, 17277, 568, 1257, 1302, 1271, 269, 769, 1010, 13002, 519, 562, 338, 1413, 899, 579, 781, 269, 681, 10643, 540, 2835, 269, 634, 5398, 543, 4750, 12041, 269, 715, 339, 550, 593, 589, 7246, 15015, 540, 13910, 3340, 513, 563, 268, 1703, 1058, 2760, 581, 513, 3834, 1156, 610, 513, 21686, 5612, 1739, 513, 3935, 269, 901, 568, 3226, 1271, 1141, 10736, 4559, 616, 3238, 519, 476, 277, 13463, 551, 732, 29438, 527, 476, 1691, 269, 1684, 711, 24495, 545, 1125, 267, 896, 1467, 267, 610, 2322, 10530, 1472, 519, 10643, 540, 10156, 1568, 971, 607, 4760, 4930, 610, 3594, 538, 12995, 10070, 269, 661, 848, 4063, 269, 1215, 798, 594, 2446, 606, 2376, 1369, 606, 14905, 1957, 286, 1772, 621, 538, 10530, 610, 24495, 923, 27085, 1411, 616, 26159, 519, 2012, 540, 513, 4760, 267, 519, 4760, 2012, 1131, 581, 538, 24495, 923, 563, 268, 1717, 267, 610, 2453, 602, 723, 1455, 946, 538, 2296, 267, 971, 607, 23463, 23463, 23463, 798, 711, 2154, 24495, 545, 1436, 269, 594, 1223, 660, 3494, 602, 1352, 1767, 538, 519, 1482, 4845, 29380, 344, 543, 769, 4003, 256, 1548, 798, 596, 2322, 538, 834, 638, 21320, 7436, 22172, 9137, 10643, 689, 17476, 267, 14786, 267, 13746, 269, 2311, 798, 596, 24495, 545, 1125, 286, 26705, 1154, 25315, 956, 540, 31157, 538, 17090, 13910, 269, 715, 1968, 16390, 269, 661, 572, 3652, 4019, 547, 10643, 538, 519, 1257, 267, 538, 2385, 16375, 14327, 267, 543, 538, 3718, 24764, 2985, 13366, 563, 8196, 3231, 1676, 543, 22898, 16702, 838, 2130, 569, 269, 10201, 622, 267, 898, 17066, 899, 519, 2296, 3896, 3391, 585, 547, 1491, 883, 8313, 602, 972, 616, 5827, 2111, 1369, 799, 646, 949, 581, 8465, 950, 2362, 607, 513, 5757, 267, 607, 594, 2981, 596, 594, 993, 711, 513, 1100, 835, 269, 744, 651, 327, 798, 596, 2322, 538, 834, 12047, 2117, 566, 20159, 2668, 4762, 710, 1964, 1778, 24495, 545, 1125, 610, 10839, 4760, 2376, 10643, 1082, 267, 12383, 267, 13746, 269, 2311, 798, 596, 7703, 286, 1692, 547, 2422, 1160, 12923, 269, 744, 340, 1058, 5614, 519, 5528, 2239, 1557, 3791, 1268, 1383, 1603, 811, 22510, 1568, 538, 269, 681, 533, 2678, 281, 634, 9315, 1773, 659, 731, 5403, 518, 568, 519, 269, 1520, 329, 8809, 547, 519, 1883, 267, 7440, 616, 1476, 17014, 585, 281, 32228, 545, 1125, 610, 10839, 4760, 2376, 10643, 540, 2798, 267, 13746, 543, 1082, 267, 6054, 269, 661, 2817, 10164, 550, 540, 6176, 2882, 269, 1280, 1135, 2716, 281, 301, 10494, 616, 4749, 519, 5220, 602, 596, 961, 5260, 712, 267, 855, 711, 782, 3344, 616, 519, 269, 1215, 1131, 621, 30134, 1205, 1369, 519, 2278, 269, 5620, 596, 585, 2870, 6789, 298, 2475, 269, 744, 596, 3390, 519, 26363, 540, 513, 1318, 538, 707, 1378, 269, 1215, 798, 594, 15513, 513, 3811, 1433, 2006, 950, 6721, 513, 1880, 610, 606, 1958, 549, 16670, 689, 519, 5098, 286, 2710, 596, 7703, 519, 14953, 540, 513, 1641, 538, 269, 589, 997, 1125, 519, 14909, 538, 707, 10131, 281, 898, 540, 269, 654, 798, 594, 22406, 547, 3899, 519, 2012, 540, 519, 7694, 543, 4760, 332, 698, 8872, 563, 8253, 476, 280, 3766, 877, 1867, 1792, 752, 269, 0, 268, 3962, 942, 596, 1118, 513, 1689, 547, 707, 1062, 267, 4946, 610, 9427, 8800, 610, 3301, 267, 2594, 519, 1689, 269, 1548, 568, 513, 2780, 3644, 286, 8950, 8290, 616, 1507, 3301, 3292, 602, 616, 2966, 547, 3262, 689, 835, 2780, 547, 1776, 543, 547, 15936, 609, 2780, 563, 268, 23675, 666, 849, 1831, 3615, 540, 6760, 950, 789, 610, 741, 9115, 616, 8697, 267, 585, 1383, 950, 642, 663, 1023, 4323, 519, 2780, 3294, 267, 610, 950, 513, 834, 26367, 3644, 257, 513, 1982, 5827, 540, 19249, 610, 2144, 2084, 2780, 3965, 568, 5189, 883, 513, 2780, 1062, 269, 1280, 1655, 3406, 2164, 267, 2247, 519, 1739, 10372, 281, 11408, 5595, 2638, 707, 10259, 269, 4985, 1703, 616, 1100, 5730, 267, 6325, 7194, 593, 519, 2179, 540, 2780, 6760, 543, 519, 2804, 2530, 547, 9601, 267, 14356, 1317, 1082, 540, 891, 10963, 616, 269, 8950, 17235, 269, 661, 946, 540, 513, 2780, 547, 1491, 610, 7369, 1239, 267, 610, 547, 2744, 796, 32016, 946, 540, 5904, 610, 2533, 269, 20531, 540, 519, 17545, 540, 519, 2780, 267, 5373, 563, 268, 1924, 1004, 3576, 621, 543, 607, 621, 4283, 323, 519, 2749, 519, 7980, 3357, 856, 540, 519, 7504, 1140, 22486, 519, 2749, 269, 1284, 1683, 5140, 1557, 1603, 3028, 476, 26316, 269, 20717, 21295, 1557, 1603, 543, 2688, 1603, 2533, 3177, 676, 3318, 4081, 5830, 563, 268, 769, 1931, 585, 1004, 267, 547, 2149, 2933, 267, 789, 1590, 581, 3222, 540, 519, 2596, 2010, 540, 17351, 3301, 267, 875, 789, 616, 3262, 543, 875, 547, 8396, 873, 269, 898, 781, 513, 1650, 607, 2025, 607, 8103, 543, 607, 1007, 607, 519, 5769, 269, 1323, 9450, 5758, 540, 519, 1686, 540, 8290, 689, 519, 1376, 547, 950, 594, 11074, 10916, 834, 2908, 257, 2621, 269, 4985, 547, 519, 5164, 4926, 269, 476, 6245, 279, 267, 26179, 700, 4141, 742, 2401, 543, 6754, 674, 4592, 577, 1336, 2963, 602, 519, 2014, 540, 3723, 543, 5023, 2068, 538, 13184, 729, 606, 11763, 563, 1692, 4010, 547, 5516, 585, 2659, 4828, 6168, 8950, 5164, 4926, 454, 15307, 28344, 17258, 281, 594, 1616, 547, 960, 538, 519, 1072, 2361, 267, 865, 594, 6415, 2141, 8049, 543, 1616, 547, 1451, 827, 1007, 1072, 3584, 269, 670, 22326, 519, 3465, 6342, 5027, 269, 661, 772, 269, 6554, 568, 1147, 516, 696, 527, 13124, 10655, 519, 5027, 540, 1158 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 543, 938, 5626, 1995, 540, 873, 563, 1492, 5934, 14242, 2877, 547, 3713, 513, 1880, 17003, 476, 2004, 2600, 540, 519, 942, 563, 338, 793, 531, 7020, 3069, 454, 320, 3069, 17782, 875, 543, 950, 649, 3713, 519, 4527, 540, 513, 25861, 17003, 630, 338, 793, 531, 264, 8015, 4282, 14242, 630, 7224, 1047, 1040, 2667, 6979, 972, 568, 1100, 2582, 6207, 12939, 543, 602, 7020, 5673, 14356, 593, 513, 1268, 781, 1995, 267, 6788, 267, 8404, 267, 543, 10332, 1145, 563, 10043, 11155, 534, 24608, 8878, 7271, 676, 799, 1004, 556, 7302, 14128, 741, 30849, 25372, 883, 13998, 9516, 2238, 563, 1492, 11852, 267, 1419, 796, 4621, 19290, 267, 540, 1978, 12205, 267, 3976, 19753, 19397, 835, 781, 8226, 267, 3965, 267, 610, 3210, 563, 1492, 5934, 3017, 1063, 1079, 15128, 2838, 585, 7020, 476, 2004, 2600, 540, 519, 942, 269, 4746, 1572, 519, 1175, 18476, 3017, 630, 329, 526, 1916, 1492, 6240, 602, 267, 547, 581, 9228, 607, 1114, 267, 1079, 15128, 1590, 8428, 676, 513, 3586, 6871, 630, 337, 1430, 982, 513, 3586, 2179, 1916, 323, 574, 31944, 8417, 607, 513, 12343, 540, 3586, 14242, 563, 935, 11437, 540, 835, 1106, 540, 1648, 883, 1776, 269, 769, 14815, 267, 519, 13321, 540, 17003, 19367, 267, 971, 607, 24738, 267, 4992, 267, 543, 24462, 267, 883, 8849, 25372, 938, 12058, 666, 4612, 563, 1492, 3845, 689, 519, 8445, 540, 835, 1769, 610, 3280, 5951, 547, 519, 8445, 540, 519, 1985, 269, 5082, 11424, 8747, 540, 713, 4268, 689, 519, 2110, 1025, 2354, 540, 17184, 12345, 547, 519, 1279, 20512, 540, 5925, 6771, 563, 1492, 10155, 540, 2681, 602, 568, 5462, 676, 519, 15423, 540, 1769, 282, 1018, 649, 917, 607, 519, 2681, 4408, 4544, 267, 3039, 267, 543, 865, 8521, 563, 1492, 2179, 540, 1648, 538, 513, 1769, 610, 3280, 5951, 267, 799, 649, 13498, 607, 21386, 610, 10978, 1145, 267, 607, 5462, 676, 519, 5951, 781, 17931, 563, 1492, 28253, 6679, 538, 519, 4099, 540, 519, 3750, 998, 799, 1769, 13788, 563, 320, 8258, 540, 4887, 5160, 602, 3029, 519, 11954, 6712, 540, 519, 3750, 1472, 519, 20194, 543, 8060, 519, 2450, 540, 519, 20194, 6679, 563, 1492, 12001, 2497, 3297, 519, 20194, 602, 2242, 3337, 547, 948, 1445, 2592, 593, 519, 22100, 563, 1492, 1769, 25259, 6418, 2627, 540, 519, 3750, 267, 5627, 519, 13805, 22203, 543, 25862, 7132, 6106, 540, 11409, 602, 2253, 519, 4393, 540, 3308, 1344, 563, 306, 18730, 910, 519, 1184, 676, 799, 519, 3750, 781, 7828, 2242, 3337, 547, 1445, 2282, 610, 2484, 3615, 593, 519, 22100, 563, 4958, 1400, 13364, 602, 3713, 3109, 267, 3043, 267, 543, 12457, 282, 2556, 585, 15672, 543, 1000, 559, 697, 5075, 267, 950, 25862, 1810, 1405, 4431, 563, 4958, 1400, 13805, 2281, 602, 616, 13671, 2282, 519, 4099, 540, 519, 22100, 543, 602, 1599, 538, 21765, 610, 538, 1134, 2000, 527, 2175, 269, 1452, 3713, 5386, 1469, 543, 2285, 4473, 547, 2681, 17915, 563, 1492, 8229, 602, 11438, 8849, 25372, 689, 519, 3750, 547, 519, 2634, 563, 1492, 1448, 693, 799, 519, 23726, 8229, 3762, 519, 3750, 543, 1100, 13805, 2281, 616, 4092, 972, 563, 1492, 3844, 17122, 1448, 538, 519, 22100, 267, 1472, 799, 519, 3750, 781, 25862, 12440, 563, 1676, 557, 2281, 538, 519, 2634, 602, 4431, 547, 1808, 2934, 540, 519, 17003, 267, 971, 607, 3337, 267, 5086, 267, 610, 3350, 563, 1492, 4393, 540, 1082, 3344, 540, 513, 1966, 8195, 282, 519, 2634, 781, 2067, 7154, 540, 1344, 4393, 585, 1082, 3252, 267, 1519, 5075, 269, 25037, 338, 609, 519, 1900, 8386, 9912, 630, 338, 518, 658, 264, 4393, 540, 1034, 5904, 543, 540, 6857, 1966, 6061, 563, 21930, 6953, 601, 332, 3128, 16379, 959, 747, 668, 1738, 630, 22764, 12258, 528, 264, 3069, 454, 1492, 3069, 602, 519, 22100, 3568, 1614, 1114, 2681, 13364, 1765, 821, 1034, 6213, 547, 2699, 267, 835, 547, 3039, 267, 835, 547, 4544, 30147, 267, 950, 25623, 538, 4999, 267, 666, 3132, 519, 8226, 540, 1022, 2681, 563, 1492, 3069, 602, 15852, 27243, 3157, 630, 1042, 25984, 267, 5835, 15918, 826, 267, 3043, 15918, 871, 264, 5512, 2681, 5075, 269, 1280, 1383, 267, 930, 2281, 616, 25623, 676, 3039, 543, 7409, 1243, 676, 2699, 282, 1866, 616, 25623, 676, 2699, 543, 7409, 1243, 676, 3039, 563, 1492, 2631, 610, 957, 540, 6217, 563, 1492, 1297, 540, 2347, 20966, 602, 1780, 513, 1448, 538, 513, 2016, 942, 630, 1721, 1383, 267, 829, 2034, 1916, 320, 3159, 781, 4810, 1164, 1145, 610, 561, 1144, 612, 282, 5673, 593, 4908, 563, 1492, 12068, 1063, 519, 552, 731, 5300, 543, 31882, 548, 320, 5627, 1614, 6263, 7633, 630, 5069, 1067, 267, 606, 341, 559, 267, 543, 13489, 14442, 264, 602, 13404, 519, 21513, 540, 519, 552, 731, 5300, 593, 519, 31882, 548, 320, 781, 24814, 6885, 563, 320, 1071, 6150, 267, 536, 3415, 267, 5714, 23752, 8546, 538, 519, 6418, 1274, 998, 799, 3280, 6329, 9594, 8229, 25372, 454, 1492, 7961, 25958, 851, 540, 519, 1274, 267, 5627, 519, 31882, 548, 320, 267, 12931, 1844, 983, 23668, 267, 543, 22514, 24212, 5485, 338, 563, 514, 6217, 267, 519, 3069, 602, 6402, 519, 12334, 649, 5873, 609, 519, 1747, 1141, 519, 31882, 548, 320, 781, 9245, 568, 25623, 563, 514, 6217, 267, 519, 3069, 602, 519, 2557, 540, 8229, 25372, 10707, 909, 519, 17391, 8229, 13292, 519, 4908, 540, 513, 3159, 267, 3976, 7175, 721, 547, 2631, 922, 12334, 563, 935, 9134, 6217, 2530, 454, 515, 2130, 2530, 3361, 676, 3441, 547, 519, 7344, 1062, 602, 29377, 3280, 6329, 547, 519, 31882, 548, 320, 563, 338, 16428, 710, 1116, 6217, 2530, 454, 515, 2130, 2530, 3361, 676, 3441, 547, 519, 31882, 548, 320, 781, 13805, 2281, 610, 547, 519, 17391, 13285, 282, 849, 1572, 8229, 18555, 1145, 563, 320, 3926, 585, 14291, 4992, 883, 5122, 6786, 543, 18398, 519, 17391, 8229, 998, 22809, 8142, 539, 883, 519, 31882, 548, 320, 563, 1492, 1062, 585, 15392, 519, 2990, 543, 3350, 540, 1367, 1560, 2694, 563, 1492, 2631, 540, 1560, 3350, 543, 2990, 267, 1519, 519, 2631, 540, 3666, 563, 1492, 3069, 602, 519, 11983, 10260, 3568, 513, 14715, 834, 22017, 257, 602, 7161, 1928, 6786, 610, 2636, 873, 547, 1780, 593, 547, 519, 2634, 269, 634, 834, 22017, 257, 568, 8118, 676, 519, 2534, 540, 1928, 6786, 10707, 909, 1507, 8229, 11103, 543, 568, 6806, 676, 2534, 538, 3677, 11103, 610, 676, 1344, 4947, 689, 519, 2634, 563, 1492, 6240, 602, 835, 2631, 949, 3310, 1776, 267, 607, 950, 519, 9329, 540, 1426, 7506, 922, 6492, 563, 534, 6896, 2898, 269, 1452, 1826, 540, 16895, 15091, 938, 12402, 547, 11753, 4773, 540, 1344, 883, 6209, 17783, 454, 1492, 3919, 540, 519, 3308, 2361, 883, 3615, 630, 1492, 5515, 264, 602, 1796, 856, 689, 741, 10450, 630, 1492, 2666, 1916, 1492, 829, 24632, 12402, 547, 10891, 15128, 883, 17396, 2516, 563, 1492, 2702, 547, 1294, 3615, 538, 1614, 7516, 4352, 519, 2592, 602, 10880, 519, 22100, 616, 1079, 8820, 282, 2636, 721, 547, 9794, 3845, 563, 320, 8047, 3926, 585, 4152, 3178, 8226, 538, 12256, 543, 1762, 2831, 563, 323, 3704, 10291, 267, 971, 607, 27243, 29373, 267, 602, 4096, 593, 519, 946, 540, 1079, 4064, 563, 320, 10822, 22811, 29692, 585, 6544, 1516, 3178, 676, 9236, 2592, 689, 519, 1427, 21590, 538, 519, 1079, 4064, 267, 519, 2634, 1939, 525, 3845, 9789, 3152, 519, 29373, 630, 18528, 2397, 264, 1063, 519, 1079, 2592, 267, 519, 6251, 519, 1843, 563, 323, 3704, 10291, 267, 971, 607, 954, 6570, 543, 5276, 5133, 267, 2139, 547, 2901, 3750, 4805, 563, 534, 21903, 540, 3350, 2813, 950, 1079, 610, 811, 11105, 8279, 1025, 1074, 593, 543, 1055, 538, 2656, 19588, 563, 704, 576, 1516, 3615, 607, 17946, 4474, 630, 327, 3058, 5812, 5546, 267, 2450, 267, 1769, 1145, 267, 543, 2681, 264, 1256, 607, 26149, 543, 27243, 2592, 1689, 563, 704, 576, 1516, 5432, 3615, 607, 2348, 5812, 2681, 267, 1256, 952, 4657, 26149, 32290, 519, 20966, 10630, 676, 519, 1843, 563, 514, 5075, 267, 519, 2702, 547, 4188, 547, 606, 31567, 19774, 610, 1256, 30141, 3308, 2361, 563, 320, 2790, 32739, 547, 13498, 835, 3364, 543, 711, 1776, 563, 2169, 6652, 29022, 8226, 630, 2464, 303, 994, 1492, 11786, 3409, 602, 8226, 666, 2049, 6306, 689, 10444, 3403, 282, 2882, 7658, 15797, 267, 804, 1515, 341, 1195, 766, 267, 543, 3348, 10744, 563, 1492, 1353, 540, 31510, 5436, 9259, 267, 1519, 661, 9915, 543, 2618, 758, 1149, 529, 563, 320, 7936, 540, 6530, 602, 2090, 2168, 267, 5042, 267, 543, 1514, 1689, 2429, 519, 1272, 12732, 563, 1492, 6992, 1242, 4212, 282, 621, 13788, 513, 476, 273, 22173, 1974, 540, 4028, 1591, 6498, 543, 10953, 883, 606, 21872, 563, 1492, 3384, 1480, 11248, 689, 827, 476, 273, 4374, 1310, 22289, 998, 519, 2034, 3923, 563, 1492, 3384, 1480, 11248, 689, 476, 280, 4374, 1310, 17748, 547, 4332, 563, 698, 757, 267, 971, 607, 6464, 543, 8290, 267, 602, 666, 3914, 519, 21872, 610, 21565, 1282, 27514, 1646, 543, 2014, 2800, 563, 293, 13926, 15850, 15540, 630, 293, 3008, 994, 874, 9713, 543, 5042, 17244, 538, 1453, 3361, 676, 513, 9176, 4807, 781, 5230, 6704, 269, 769, 4049, 2665, 267, 2589, 1331, 18476, 11132, 3765, 2889, 1636, 687, 563, 1372, 920, 2084, 30506, 609, 7368, 14242, 269, 1306, 12256, 2744, 23440, 609, 7368, 4598, 547, 513, 3308, 17003, 267, 741, 1719, 530, 6951, 543, 789, 1413, 2476, 19692, 563, 6798, 1670, 2208, 3157, 602, 5512, 1931, 569, 2242, 538, 2623, 267, 5266, 796, 8882, 1663, 10642, 676, 1995, 563, 718, 519, 2790, 2238, 2404, 609, 3206, 267, 6616, 267, 19551, 267, 543, 14379, 563, 320, 1523, 610, 5943, 602, 1418, 3278, 543, 3705, 1206, 1344, 563, 5793, 31147, 938, 1007, 1995, 538, 2474, 540, 938, 4540, 6562, 553, 563, 14946, 618, 910, 15268, 938, 1699, 24300, 630, 2675, 1335, 553, 264, 547, 6451, 1007, 1344, 563, 514, 13100, 27600, 781, 3069, 267, 519, 3942, 630, 5228, 4332, 547, 827, 476, 273, 1296, 540, 2085, 264, 1282, 799, 12256, 917, 519, 1158, 6140, 538, 2474, 540, 741, 10444, 24221, 543, 5179, 2238, 563, 1492, 4656, 602, 1919, 3136, 547, 2291, 1256, 950, 711, 9228, 563, 514, 13100, 27600, 781, 3069, 267, 519, 3942, 630, 5228, 476, 273, 547, 827, 476, 277, 610, 476, 278, 1296, 540, 2085, 264, 1282, 799, 513, 1126, 16137, 547, 946, 1893, 855, 1281, 711, 2943, 10146, 519, 2790, 4238, 540, 6405, 7954, 563, 1492, 6240, 630, 6518, 13100, 27600, 5156, 547, 581, 513, 851, 540, 6405, 10512, 7744, 264, 602, 3601, 971, 607, 2527, 267, 4320, 267, 543, 1297, 2611, 519, 1482, 5103, 2242, 538, 519, 3029, 540, 3615, 563, 514, 13100, 27600, 781, 3069, 267, 519, 840, 6016, 1049, 1126, 781, 7411, 2921, 1776, 781, 1448, 540, 2070, 563, 763, 800, 540, 9650, 454, 15161, 781, 2093, 827, 741, 1378, 543, 1866, 262, 2790, 2829, 1765, 12671, 741, 4606, 267, 11994, 267, 543, 4555, 267, 543, 519, 5615, 891, 1522, 3589, 563, 3519, 4740, 7358, 1049, 8609, 454, 514, 13100, 27600, 781, 3069, 267, 519, 3942, 540, 5042, 1646, 630, 5228, 827, 476, 277, 610, 476, 278, 547, 476, 1556, 1296, 540, 2085, 264, 1282, 799, 1453, 2744, 519, 2790, 4238, 602, 5512, 873, 547, 1589, 25401, 827, 6405, 2621, 563, 293, 5436, 7358, 1049, 8609, 454, 514, 13100, 27600, 781, 3069, 267, 519, 3942, 540, 5042, 1646, 630, 17884, 958, 4098, 827, 2085, 476, 1321, 264, 1282, 799, 1004, 2253, 547, 1589, 25401, 827, 7493, 2035, 563, 320, 4524, 602, 5526, 538, 6689, 543, 568, 6825, 676, 28119, 2792, 267, 1514, 5872, 267, 543, 1620, 540, 1866, 262, 2829, 540, 2247, 563, 1492, 4250, 540, 21046, 602, 12256, 4122, 4159, 267, 4098, 676, 827, 476, 279, 3275, 540, 2085, 563, 534, 3929, 17063, 609, 1776, 1268, 282, 3254, 538, 1762, 1453, 676, 741, 5275, 804, 4923, 612, 547, 519, 27877, 543, 6029, 11605, 593, 9668, 563, 534, 6099, 1974, 16172, 1310, 4332, 950, 606, 11248, 781, 4598, 547, 1978, 15128, 610, 2833, 7472, 1697, 1646, 563, 1492, 1184, 676, 799, 1978, 2831, 1106, 27589, 1282, 513, 2565, 1974, 1360, 2038, 538, 1272, 563, 320, 1268, 781, 8984, 3929, 2746, 2032, 543, 8515, 563, 3147, 1800, 547, 661, 20891, 661, 686, 802, 517, 267, 513, 2631, 602, 519, 1158, 568, 22150, 543, 22973, 282, 1767, 547, 581 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 538, 12096, 476, 1001, 277, 269, 4595, 922, 14202, 267, 621, 814, 4607, 476, 16318, 5784, 269, 1280, 2147, 2326, 1294, 4985, 547, 5398, 9534, 538, 5398, 9534, 693, 12425, 3557, 2160, 563, 18800, 338, 585, 2155, 476, 24907, 11929, 476, 272, 5530, 6651, 454, 27751, 713, 7698, 454, 1432, 568, 918, 12609, 888, 298, 12609, 568, 519, 9304, 540, 5530, 306, 19281, 563, 2791, 666, 4444, 610, 7118, 811, 918, 12609, 693, 20471, 543, 28099, 655, 621, 585, 1362, 4967, 267, 1353, 10274, 267, 15460, 267, 543, 811, 2336, 14630, 23095, 281, 476, 6021, 270, 866, 270, 1626, 454, 6021, 270, 1240, 270, 1001, 277, 19065, 363, 4033, 16301, 585, 11553, 281, 19065, 363, 910, 11553, 575, 9404, 1157, 610, 1773, 1195, 19065, 363, 910, 5398, 640, 25224, 19065, 363, 910, 14503, 2931, 630, 1652, 1166, 30568, 2165, 1031, 676, 519, 2046, 968, 16341, 11553, 1166, 871, 5206, 602, 14615, 19065, 363, 910, 5518, 31144, 779, 556, 324, 3005, 5859, 3576, 513, 2942, 1650, 543, 5828, 621, 883, 1945, 2318, 630, 4944, 514, 264, 19065, 363, 910, 27657, 630, 29189, 543, 519, 4975, 264, 28420, 11553, 538, 513, 2942, 1769, 19065, 363, 19065, 363, 11553, 5288, 269, 4750, 1143, 281, 910, 13828, 2328, 538, 4760, 2065, 2511, 267, 5967, 1004, 267, 5531, 543, 5659, 9623, 267, 543, 798, 865, 609, 513, 21120, 910, 11553, 666, 849, 581, 1634, 607, 513, 19784, 538, 15335, 910, 11553, 814, 513, 9962, 2039, 540, 9021, 910, 11553, 568, 811, 982, 1175, 26655, 910, 11553, 814, 5402, 5302, 7757, 9458, 910, 11553, 814, 1082, 9055, 547, 3914, 741, 5304, 11553, 5288, 269, 31055, 281, 910, 4964, 5305, 284, 9623, 827, 2680, 267, 1268, 267, 1895, 267, 610, 1587, 799, 568, 9859, 547, 7463, 5007, 9458, 543, 922, 3119, 3252, 568, 547, 1711, 606, 1604, 538, 799, 519, 3919, 666, 8853, 910, 31055, 568, 6976, 2923, 9859, 547, 18046, 540, 5370, 543, 2533, 609, 513, 3119, 1599, 547, 6133, 5370, 543, 2533, 910, 31055, 814, 519, 19319, 540, 1942, 971, 607, 519, 9931, 9335, 4750, 543, 513, 8111, 30558, 5010, 11553, 5288, 269, 16373, 281, 910, 11553, 13976, 3347, 543, 5932, 543, 15387, 4662, 3386, 3347, 543, 1434, 15884, 585, 519, 2754, 19791, 540, 11553, 281, 910, 11283, 725, 267, 18758, 267, 11553, 10909, 267, 2229, 267, 2069, 267, 9913, 267, 5026, 267, 2951, 267, 3782, 267, 3486, 11553, 9608, 10305, 585, 2576, 538, 11553, 281, 910, 5675, 267, 1382, 267, 1544, 1676, 267, 1966, 9010, 267, 1870, 543, 2804, 16169, 267, 5876, 267, 7479, 553, 4369, 12472, 540, 11553, 281, 910, 6196, 652, 2046, 5305, 729, 14472, 24297, 12942, 910, 11553, 24306, 284, 4906, 540, 9294, 732, 628, 543, 24347, 956, 8834, 267, 6754, 2507, 11553, 4395, 2367, 910, 11553, 3085, 1406, 1689, 855, 1857, 6644, 543, 519, 3432, 693, 799, 596, 723, 547, 2746, 723, 4957, 910, 3143, 6085, 593, 1945, 538, 11553, 568, 513, 6085, 538, 3294, 910, 5398, 640, 267, 25840, 9919, 6471, 630, 1260, 618, 2456, 543, 2920, 320, 4144, 1248, 320, 513, 6390, 11545, 1684, 902, 264, 910, 5664, 12698, 267, 7826, 5783, 543, 18259, 267, 15352, 27068, 910, 20616, 16527, 267, 11785, 21281, 9549, 729, 835, 540, 519, 6574, 32398, 25224, 338, 540, 782, 942, 910, 12052, 2160, 267, 3751, 779, 5441, 2152, 1101, 3377, 5305, 538, 476, 11260, 279, 910, 6341, 17566, 267, 8547, 14930, 540, 15698, 543, 6896, 678, 718, 625, 543, 23405, 538, 476, 12293, 271, 338, 547, 13889, 519, 853, 2086, 2920, 910, 476, 5197, 271, 338, 4964, 32652, 267, 968, 288, 1268, 4171, 960, 568, 547, 1205, 32398, 585, 606, 1367, 267, 3919, 267, 3092, 1848, 910, 623, 11053, 4446, 11133, 267, 4279, 1977, 8058, 2006, 267, 623, 338, 4240, 334, 7926, 729, 8345, 602, 4386, 585, 519, 3483, 540, 1373, 4080, 543, 729, 27105, 32398, 630, 23612, 9549, 7736, 16017, 618, 264, 910, 4964, 3397, 18782, 267, 3834, 532, 267, 608, 281, 5026, 630, 332, 1105, 32408, 264, 543, 9413, 630, 22832, 20607, 264, 910, 11553, 568, 849, 7986, 538, 824, 2477, 971, 607, 5125, 267, 13372, 267, 543, 3624, 267, 799, 568, 519, 16595, 3395, 2059, 609, 824, 7489, 2477, 910, 4639, 1189, 28841, 267, 16456, 338, 13631, 13896, 543, 538, 476, 6245, 278, 519, 16456, 2754, 1101, 1031, 519, 2165, 1857, 1894, 538, 513, 2754, 17609, 2059, 609, 4639, 532, 5264, 15278, 1373, 519, 1101, 538, 27440, 32398, 8257, 910, 6468, 779, 4168, 31301, 766, 5742, 3177, 1344, 971, 607, 20164, 267, 1249, 6656, 267, 543, 23405, 609, 519, 6205, 594, 6767, 645, 269, 28243, 910, 5398, 640, 267, 9628, 32525, 7577, 630, 21579, 3241, 6184, 1638, 264, 543, 2549, 657, 918, 754, 718, 729, 519, 1101, 16232, 23122, 910, 8361, 16110, 1031, 17568, 543, 729, 519, 1101, 3678, 6033, 547, 5595, 11832, 779, 2628, 547, 1269, 276, 829, 1554, 910, 11553, 8480, 267, 594, 11803, 27439, 321, 21392, 729, 519, 1101, 11553, 24468, 543, 11827, 6433, 2359, 910, 6723, 11511, 601, 9730, 267, 13431, 272, 267, 1128, 2683, 14017, 543, 6015, 538, 519, 2229, 543, 9415, 1004, 547, 4688, 1426, 543, 4444, 15698, 7554, 910, 11977, 700, 269, 12672, 904, 729, 519, 4651, 540, 11553, 543, 2048, 4944, 514, 8730, 608, 281, 16358, 1944, 1857, 6644, 4847, 2021, 547, 8673, 538, 1857, 267, 31045, 10269, 3549, 968, 331, 13806, 16716, 892, 543, 968, 30004, 2583, 540, 5191, 5608, 15748, 519, 7338, 32525, 8752, 779, 13642, 808, 889, 850, 324, 547, 9505, 1055, 1379, 538, 32525, 779, 8956, 585, 1010, 14512, 267, 543, 594, 341, 800, 1924, 777, 9380, 532, 16311, 910, 14880, 654, 269, 8525, 4956, 602, 11553, 1058, 723, 606, 3742, 5639, 538, 2362, 2359, 910, 1234, 343, 4498, 869, 729, 519, 4651, 540, 11553, 1382, 267, 729, 513, 11553, 19829, 267, 543, 519, 13653, 540, 11553, 6347, 910, 5403, 13431, 273, 267, 11553, 1011, 3941, 267, 18487, 10909, 267, 2229, 21040, 11553, 3646, 267, 1732, 4346, 267, 3395, 2551, 267, 1942, 3608, 543, 729, 1732, 982, 25036, 267, 543, 4465, 936, 2359, 910, 634, 2132, 540, 17933, 3769, 602, 4473, 540, 10160, 321, 3881, 946, 543, 6406, 7126, 3350, 910, 31780, 779, 267, 1004, 941, 14220, 827, 741, 13476, 5739, 2853, 543, 1287, 19557, 547, 11553, 1004, 547, 1689, 741, 3239, 547, 606, 13476, 7874, 1870, 910, 9652, 1299, 9652, 267, 1004, 941, 12955, 689, 570, 2643, 523, 565, 543, 32632, 23340, 2813, 513, 1434, 2078, 609, 519, 2923, 547, 948, 17738, 540, 11553, 281, 910, 4964, 3397, 18782, 270, 14276, 640, 284, 835, 17574, 2792, 267, 2527, 2923, 267, 543, 1728, 701, 910, 5398, 6176, 284, 835, 17574, 2792, 540, 1344, 267, 711, 2141, 10388, 910, 5565, 1259, 12623, 13240, 284, 1079, 1259, 2792, 267, 1174, 5304, 538, 1931, 547, 22321, 910, 5565, 1259, 21136, 284, 9053, 2203, 267, 1079, 17574, 2792, 267, 8994, 1620, 267, 7059, 1382, 15979, 543, 12333, 1143, 281, 910, 15979, 568, 519, 1305, 540, 7355, 676, 799, 3375, 616, 1500, 827, 1018, 568, 1318, 543, 1018, 568, 4636, 910, 5651, 1275, 4145, 8404, 543, 1946, 1004, 798, 1919, 910, 3245, 606, 5683, 5133, 30254, 568, 13061, 711, 2339, 1018, 519, 2601, 621, 568, 1869, 513, 9114, 910, 769, 519, 9746, 1158, 621, 568, 4397, 602, 1004, 798, 1018, 568, 1318, 543, 2057, 5313, 2366, 9760, 4808, 910, 769, 2474, 952, 1850, 1275, 519, 30254, 568, 1447, 1271, 543, 14084, 896, 522, 987, 568, 513, 3656, 25213, 543, 538, 519, 2013, 540, 4406, 24809, 1773, 877, 1352, 729, 513, 31835, 8665, 945, 729, 856, 539, 607, 513, 1071, 3200, 910, 18880, 616, 875, 649, 13789, 538, 513, 2016, 3510, 543, 930, 1806, 616, 9237, 267, 22371, 267, 14017, 267, 4023, 16490, 1145, 267, 2463, 267, 8699, 543, 8521, 2431, 2792, 910, 853, 3042, 2621, 2507, 2353, 2581, 4446, 828, 729, 513, 5449, 3493, 14280, 19608, 14199, 540, 16470, 585, 4139, 18058, 585, 5398, 700, 807, 2581, 543, 1352, 5280, 5449, 7022, 17312, 3942, 513, 7658, 935, 12401, 609, 10136, 538, 12925, 910, 13571, 20492, 616, 2516, 609, 513, 6456, 16786, 2507, 585, 1383, 281, 11206, 19137, 540, 3703, 12052, 267, 3345, 7262, 619, 585, 2859, 12551, 267, 14886, 540, 26267, 13738, 267, 543, 22893, 585, 513, 5131, 918, 17703, 7159, 630, 3559, 4771, 6608, 28487, 1435, 331, 923, 1489, 10136, 585, 2112, 910, 9050, 17574, 4530, 729, 1031, 585, 5683, 3375, 6194, 1210, 519, 7355, 281, 568, 621, 519, 5168, 286, 1772, 621, 4023, 547, 782, 7255, 286, 4024, 621, 1628, 1434, 15884, 543, 1732, 17052, 286, 4024, 621, 581, 6225, 547, 782, 7255, 286, 910, 8422, 1871, 31223, 281, 2612, 565, 583, 626, 284, 1169, 3375, 568, 2901, 1318, 610, 4636, 7488, 540, 519, 4539, 267, 16650, 626, 284, 7525, 7787, 3903, 1754, 985, 267, 32638, 626, 284, 3123, 519, 2547, 2800, 610, 1034, 1434, 910, 11553, 6347, 12333, 2418, 1331, 14223, 267, 19969, 267, 6791, 267, 7115, 267, 14017, 267, 543, 14619, 910, 8555, 704, 2932, 2882, 1863, 2095, 540, 1344, 267, 6735, 32422, 267, 23930, 540, 1344, 267, 2922, 1368, 8973, 1476, 573, 1878, 267, 7526, 540, 1719, 267, 543, 7393, 519, 3924, 630, 14588, 6900, 19374, 1331, 12607, 3151, 2883, 1344, 267, 3381, 3377, 13847, 267, 4950, 11553, 264, 910, 769, 2474, 540, 7881, 609, 2923, 596, 1590, 3035, 3972, 267, 19969, 267, 543, 952, 596, 4503, 17258, 596, 6336, 28252, 910, 8433, 540, 7580, 3310, 729, 2966, 547, 11282, 25749, 547, 4217, 4108, 4690, 18246, 630, 18872, 522, 1186, 264, 9442, 7869, 281, 910, 9442, 3069, 568, 519, 3350, 689, 519, 968, 572, 520, 540, 519, 27890, 892, 630, 326, 583, 4743, 264, 547, 3206, 2601, 539, 2962, 910, 7869, 6941, 875, 1919, 960, 267, 1946, 1919, 4755, 267, 3919, 543, 7778, 267, 12605, 267, 543, 1852, 910, 7869, 4214, 281, 513, 12605, 540, 875, 2621, 543, 3527, 616, 1644, 543, 568, 513, 3948, 827, 519, 2078, 1851, 4632, 910, 7869, 2679, 2882, 6998, 630, 11034, 532, 1448, 547, 2491, 513, 7613, 1070, 11287, 630, 9188, 20696, 1382, 547, 1174, 519, 7613, 1070, 17695, 1944, 630, 16467, 532, 4128, 1946, 519, 7613, 4386, 1070, 543, 10992, 630, 28717, 11510, 1382, 2966, 547, 1449, 519, 8367, 910, 18903, 25522, 7869, 3459, 1282, 13431, 272, 950, 5095, 5129, 2101, 5107, 543, 5280, 20834, 1125, 10121, 2906, 267, 1128, 650, 538, 4961, 23998, 585, 519, 10546, 267, 543, 1031, 18259, 547, 23309, 1004, 779, 23640, 543, 2981, 741, 4555, 543, 3527, 609, 1100, 2702, 547, 5496, 856, 519, 6835, 7488, 540, 1514, 4567, 610, 2069, 910, 5565, 9912, 3069, 729, 5189, 676, 6754, 32303, 1513, 26709, 267, 799, 3893, 6644, 3401, 547, 2628, 3007, 547, 6835, 538, 519, 2923, 543, 729, 606, 7317, 1184, 267, 799, 4847, 519, 3919, 547, 1217, 543, 22321, 607, 1134, 607, 7038, 543, 1217, 910, 3397, 12629, 17553, 9577, 540, 4964, 729, 2813, 676, 7665, 6202, 5062, 4467, 2125, 543, 18496, 26396, 543, 729, 1031, 538, 519, 476, 3422, 279, 16232, 5859, 543, 4769, 1406, 2995, 1004, 1018, 547, 1589, 267, 855, 6026, 873, 1018, 789, 1058, 1589, 827, 1247, 2679, 513, 1434, 2078, 609, 519, 2046, 543, 2923, 910, 17290, 12186, 7869, 568, 950, 2923, 723, 2370, 2360, 593, 1004, 1317, 540, 1082, 18060, 532, 2188, 910, 15465, 19837, 28585, 630, 8867, 517, 14080, 5424, 6661, 1004, 2628, 3007, 547, 2923, 6835, 602, 798, 711, 21279, 741, 3964, 2418, 543, 4978, 267, 4744, 28585, 5012, 547, 21856, 543, 21856, 5012, 547, 19283, 766, 910, 13368, 532, 568, 519, 25926, 540, 5013, 267, 4798, 267, 543, 2856, 602, 2995, 596, 1018, 547, 1589, 630, 1410, 281, 4420, 1194, 1216, 729, 1500, 547, 1413, 1732, 982, 7148, 264, 910, 28762, 8944, 540, 20126, 7869, 284, 1004, 2628, 3007, 547, 6835, 1759, 593, 2123, 2115, 630, 31850, 8344, 267, 3106, 267, 1514, 267, 24178, 267, 1582, 19840, 783, 1436, 264, 910, 18366, 7869, 568, 950, 1004, 946, 4655, 547, 2744, 513, 2318, 2990, 538, 519, 2344, 1747, 540, 2093, 1210, 4656, 2623, 630, 22056, 4656, 547, 798, 1945, 827, 621, 1070, 24353, 22026, 630, 15161, 1810, 1406, 2141, 4431, 1318, 2476, 1070, 543, 513, 24254, 2680, 630, 15130, 1973, 689, 513, 6049, 1289, 585, 1383, 264, 910, 28742, 7869, 568, 1759, 593, 2185, 3631, 2608, 4964, 3397, 18782, 630, 548, 770, 9053, 543, 849, 1634, 607, 32398, 2203, 264, 519, 3804, 568, 519, 1118, 707, 3919, 610, 1587, 1634, 855, 711, 2556, 1210, 5168, 995 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 593, 513, 3460, 540, 1582, 22523, 543, 2686, 3408, 607, 649, 12260, 519, 2984, 602, 5581, 945, 649, 616, 563, 21615, 1046, 532, 593, 513, 3460, 547, 10250, 707, 1920, 3529, 610, 10625, 707, 18577, 8129, 568, 606, 23429, 1995, 602, 12164, 301, 17614, 3091, 269, 3776, 5444, 30688, 1382, 2533, 1683, 596, 609, 519, 2645, 543, 6791, 547, 5490, 2620, 883, 707, 22871, 267, 8220, 519, 15956, 540, 707, 1920, 779, 1686, 543, 6561, 269, 1411, 3580, 2744, 513, 7096, 1620, 540, 707, 6561, 267, 12423, 2984, 267, 5389, 267, 543, 4296, 602, 949, 723, 1044, 4503, 547, 942, 563, 15463, 5146, 11091, 568, 4105, 538, 4509, 519, 5854, 3599, 540, 938, 2686, 13795, 269, 9517, 28718, 293, 312, 1299, 670, 2207, 3951, 17803, 16877, 2043, 267, 3885, 267, 543, 2950, 547, 16102, 741, 2189, 5389, 267, 13742, 267, 543, 8823, 269, 3414, 938, 5583, 543, 1489, 267, 596, 666, 1711, 513, 9434, 9371, 585, 2104, 5481, 267, 4180, 602, 519, 3638, 13795, 540, 707, 2686, 6561, 3788, 16856, 269, 0, 8138, 4784, 676, 9375, 593, 476, 275, 5239, 476, 1708, 274, 563, 6717, 15760, 4149, 288, 476, 275, 269, 271, 8666, 689, 530, 5942, 862, 976, 281, 4179, 2517, 5570, 976, 9884, 1731, 12855, 3820, 28293, 270, 17572, 281, 7804, 821, 318, 300, 822, 545, 318, 3682, 8548, 599, 1708, 271, 27970, 563, 11900, 2074, 689, 6639, 8441, 538, 7320, 1382, 454, 10955, 6002, 281, 4569, 24586, 2274, 4565, 1180, 543, 590, 1506, 600, 8403, 13158, 333, 599, 324, 651, 563, 13146, 7760, 538, 7320, 1382, 2029, 2709, 519, 1761, 547, 7494, 3986, 938, 8223, 540, 7320, 14498, 269, 11627, 725, 8151, 689, 15870, 9477, 543, 10357, 14092, 24065, 923, 547, 1024, 15299, 5512, 519, 13414, 540, 5892, 10703, 4705, 18125, 540, 7320, 2623, 267, 3350, 3270, 267, 543, 2551, 6384, 563, 1607, 2027, 3390, 11394, 7418, 602, 5031, 3209, 8733, 4030, 19658, 676, 891, 1007, 4066, 269, 1284, 16436, 4589, 547, 10505, 1382, 4930, 267, 2110, 10618, 267, 8039, 267, 2409, 267, 610, 21169, 4773, 11744, 875, 519, 946, 540, 5969, 12967, 2029, 814, 3177, 4267, 547, 32618, 2055, 267, 18534, 9464, 938, 1620, 540, 7320, 267, 543, 8476, 7320, 2359, 2994, 563, 8138, 3939, 1930, 476, 272, 4989, 476, 1708, 275 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7643, 2560, 5649, 2859, 454, 2791, 991, 513, 2547, 476, 273, 1004, 602, 917, 519, 3014, 269, 898, 6238, 609, 2576, 602, 6487, 519, 3014, 543, 3081, 3331, 505, 383, 371, 296, 6557, 2469, 547, 723, 513, 5428, 267, 798, 596, 530, 13860, 2097, 286, 4270, 267, 596, 666, 1152, 2097, 952, 596, 3142, 803, 513, 1459, 383, 505, 318, 685, 634, 824, 1268, 602, 6487, 519, 3014, 786, 2161, 3331, 505, 383, 371, 4692, 594, 2097, 547, 707, 5428, 952, 594, 3142, 513, 383, 505, 318, 10200, 2560, 5649, 2859, 454, 5970, 3025, 9114, 538, 513, 5858, 609, 1142, 824, 779, 2212, 779, 593, 1142, 824, 779, 7181, 338, 269, 2201, 968, 2998, 5608, 519, 1101, 1268, 786, 22551, 968, 11190, 892, 543, 1287, 621, 786, 581, 7368, 835, 676, 835, 9219, 30150, 1472, 519, 5858, 269, 630, 2691, 596, 798, 713, 3025, 779, 9843, 25483, 909, 593, 519, 1268, 779, 7181, 338, 1040, 3973, 596, 22551, 1079, 892, 11190, 22743, 779, 892, 543, 979, 1472, 269, 15566, 3257, 713, 543, 2333, 2560, 5649, 2859, 0, 29604, 268, 274, 9761, 7408, 267, 1336, 538, 3165, 543, 930, 10808, 543, 5452, 899, 9267, 22756, 267, 616, 1434, 585, 707, 2295, 269, 1358, 948, 2569, 27831, 1938, 630, 320, 1826, 540, 3170, 264, 538, 519, 1973, 799, 666, 2333, 519, 1981, 540, 2295, 2068, 269, 568, 27966, 2635, 568, 513, 1434, 2707, 540, 15060, 268, 274, 338, 1317, 621, 779, 1164, 538, 15060, 268, 274, 9761, 7408, 563, 1607, 568, 513, 2953, 3948, 269, 1717, 267, 950, 621, 2501, 547, 1072, 267, 596, 1058, 2141, 2015, 519, 8273, 4605, 269, 9435, 267, 585, 1383, 267, 568, 513, 2101, 1072, 3463, 267, 855, 972, 568, 1100, 6109, 2963, 602, 835, 666, 2061, 713, 2068, 676, 4189, 513, 1978, 1826, 540, 1426, 269, 5047, 267, 1034, 1382, 2982, 602, 3165, 11041, 666, 948, 538, 4227, 1981, 540, 2295, 2068, 267, 855, 711, 7357, 269, 2290, 1058, 849, 1832, 538, 2247, 602, 1247, 15060, 268, 274, 9761, 7408, 616, 1434, 585, 1072, 267, 789, 666, 849, 2333, 519, 1981, 540, 11702, 269, 5047, 267, 930, 1004, 723, 3165, 3282, 11959, 267, 865, 789, 1058, 2141, 2638, 609, 741, 4387, 1354, 1210, 621, 563, 29604, 268, 274, 568, 606, 1898, 9761, 3679, 799, 568, 606, 1271, 5057, 540, 3165, 3282, 269, 898, 568, 2877, 585, 3339, 2208, 543, 1646, 540, 519, 2634, 543, 8401, 1062, 269, 634, 3165, 11041, 3568, 513, 2027, 1106, 540, 15060, 268, 274, 799, 568, 3810, 13671, 543, 3362, 12842, 269, 26102, 268, 274, 9761, 7408, 723, 1044, 3254, 547, 2569, 519, 1981, 540, 2295, 2068, 267, 8482, 267, 3987, 267, 543, 1978, 2010, 540, 2860, 267, 607, 1134, 607, 2087, 519, 2589, 540, 27131, 12263, 267, 20461, 267, 10447, 267, 543, 4965, 563, 300, 11697, 568, 2523, 5739, 547, 1762, 1453, 543, 9176, 2021, 563, 300, 11697, 568, 513, 5778, 1729, 343, 514, 602, 666, 581, 1336, 538, 519, 17145, 540, 3165, 269, 589, 1353, 676, 519, 2622, 2657, 9257, 1336, 602, 835, 538, 1614, 1004, 1472, 519, 1158, 814, 1044, 6534, 547, 16035, 998, 4189, 3165, 269, 568, 27966, 1434, 585, 596, 267, 4481, 267, 814, 1164, 2157, 540, 16035, 1317, 621, 779, 606, 522, 1176, 3165, 602, 7213, 12885, 713, 25560, 936, 942, 286, 901, 1797, 596, 1058, 2057, 27966, 952, 2009, 610, 3970, 707, 6981, 607, 1454, 607, 2009, 1765, 18034, 952, 596, 2461, 9176, 610, 723, 1762, 1453, 693, 1753, 945, 949, 1616, 547, 3548, 930, 540, 741, 5172, 521, 25775, 20061, 609, 27966, 593, 1283, 2336, 2252, 596, 4076, 13881, 27966, 5063, 543, 4810, 1022, 2589, 2282, 610, 1310, 4189, 621, 630, 7945, 607, 2634, 3441, 1070, 1289, 707, 4387, 5612, 865, 789, 666, 2638, 585, 1022, 4191, 540, 15464, 899, 3965, 2530, 610, 11095, 17799, 538, 1453, 945, 941, 6534, 1282, 741, 32460, 1974, 282, 891, 616, 1455, 2427, 2360, 689, 16035, 4598, 1282, 6379, 454, 300, 11697, 568, 5393, 6757, 543, 666, 1860, 2634, 267, 2295, 267, 14401, 543, 8401, 1062, 269, 22358, 666, 2800, 519, 3384, 2634, 540, 10099, 4926, 543, 1762, 1453, 267, 7679, 1359, 609, 741, 3339, 1646, 269, 12186, 666, 1331, 2042, 609, 5075, 267, 6217, 267, 543, 4633, 282, 3965, 267, 3007, 267, 1893, 267, 543, 5179, 1983, 282, 543, 5386, 5179, 543, 3308, 1606, 6312, 658, 1983, 269, 22358, 666, 849, 1780, 998, 6089, 5144, 547, 2800, 519, 2634, 540, 513, 8808, 4816, 269, 21250, 656, 2021, 267, 2021, 945, 949, 1831, 9176, 543, 8808, 11299, 1058, 2057, 4189, 16035, 9762, 3133, 730, 3165, 563, 300, 11697, 568, 2523, 5739, 547, 1762, 1453, 543, 9176, 2021, 269, 22358, 666, 1780, 689, 513, 3993, 547, 513, 21565, 998, 519, 30302, 610, 998, 519, 16813, 559, 673, 10260, 1282, 6379, 269, 22358, 666, 849, 1780, 689, 513, 3993, 547, 1200, 4816, 998, 6089, 5144, 1282, 14915, 566, 269, 4634, 1970, 2157, 540, 4598, 547, 16035, 666, 2800, 513, 3384, 1126, 779, 8401, 1062, 563, 6624, 2010, 540, 27966, 616, 1164, 538, 16035, 267, 865, 621, 779, 1655, 547, 3970, 621, 547, 1079, 476, 277, 268, 8784, 32122, 829, 3018, 563, 307, 10044, 568, 1419, 513, 2707, 540, 15784, 1851, 4966, 543, 6800, 269, 3509, 2010, 540, 27966, 616, 1164, 538, 16035, 267, 865, 621, 779, 1655, 547, 3970, 621, 547, 1079, 476, 277, 268, 8784, 32122, 829, 3018, 269, 634, 1434, 3377, 568, 602, 27966, 666, 581, 5423, 538, 1896, 2081, 602, 2569, 922, 1981, 585, 1072, 4220, 2404, 609, 16035, 4598, 563, 268, 18181, 281, 4425, 4979, 610, 2848, 5446, 835, 476, 275, 26412, 7674, 540, 27574, 1769, 27966, 786, 4894, 5111, 476, 2412, 260, 540, 519, 16035, 1543, 630, 272, 1040, 1403, 596, 2461, 7255, 827, 707, 1126, 4189, 1932, 1454, 3165, 610, 9176, 2021, 945, 991, 547, 2057, 6151, 3165, 15587, 267, 2119, 1989, 3739, 519, 3165, 3079, 540, 14495, 621, 630, 273, 1916, 268, 5131, 4506, 281, 1133, 641, 2989, 23691, 666, 581, 13792, 952, 789, 616, 1447, 982, 1614, 3275, 2025, 630, 274, 1040, 1403, 596, 723, 942, 593, 1688, 543, 1616, 547, 4688, 811, 2724, 676, 9140, 4195, 27966, 3079, 982, 27574, 8747, 693, 17365, 8637, 267, 3274, 12511, 3640, 1022, 31629, 11273, 13980, 883, 5068, 11435, 1354, 11093, 873, 1394, 883, 29606, 11149, 13042, 968, 16451, 10045, 2922, 6100, 1411, 3580, 1616, 873, 555, 31090, 856, 7444, 936, 1896, 2395, 865, 607, 711, 547, 3441, 741, 9403, 950, 13881, 2663, 593, 1524, 519, 4155, 256, 1403, 649, 949, 581, 540, 1022, 2147, 6351, 267, 5225, 1810, 1406, 19292, 547, 3346, 721, 630, 14140, 4067, 17106, 11333, 3820, 1040, 0, 14722, 616, 19832, 609, 519, 2175, 540, 519, 2038, 7122, 543, 789, 2932, 2090, 547, 1174, 519, 1523, 540, 942, 269, 15775, 942, 546, 7976, 6045, 568, 835, 540, 519, 1034, 4101, 2035, 2523, 950, 621, 2501, 547, 3695, 519, 10867, 17807, 269, 1717, 267, 1079, 3744, 5342, 513, 1007, 1353, 602, 1655, 6045, 519, 1198, 540, 942, 546, 7976, 593, 519, 13260, 540, 844, 553, 1513, 563, 294, 518, 5593, 11066, 267, 513, 14421, 6048, 693, 519, 2160, 540, 17638, 267, 543, 6601, 526, 517, 30179, 518, 540, 519, 2160, 540, 589, 3089, 1633, 15548, 538, 513, 1007, 1353, 13031, 875, 942, 814, 1044, 8429, 811, 7444, 538, 844, 553, 1513, 1282, 519, 2038, 17807, 269, 634, 3744, 9672, 519, 1198, 540, 942, 546, 7976, 538, 519, 13260, 540, 844, 553, 1513, 1354, 10503, 621, 538, 519, 1007, 1957, 563, 11742, 667, 7976, 4112, 7134, 281, 1215, 519, 12207, 18430, 539, 519, 1007, 1353, 454, 763, 2319, 602, 5342, 519, 1353, 3893, 942, 546, 7976, 6045, 676, 11766, 532, 15751, 18160, 779, 3069, 540, 2489, 25536, 538, 4999, 609, 519, 7269, 540, 2230, 563, 2108, 4263, 922, 2295, 267, 713, 568, 1776, 2048, 292, 14852, 568, 1318, 1586, 685, 1650, 2223, 15168, 5593, 11066, 5143, 6611, 2593, 563, 14722, 1174, 602, 844, 553, 1513, 616, 10069, 1242, 676, 606, 934, 516, 1154, 2706, 21346, 633, 3109, 8559, 23493, 693, 519, 4099, 540, 606, 3742, 14925, 269, 4595, 519, 934, 4958, 542, 12210, 4478, 519, 3109, 8559, 568, 3833, 1507, 267, 15088, 4947, 689, 519, 844, 553, 541, 15041, 26860, 1769, 666, 2049, 1369, 2395, 269, 9747, 267, 891, 15088, 616, 1454, 4443, 547, 6895, 1317, 540, 875, 3728, 621, 3217, 519, 844, 553, 1513, 547, 2627, 563, 763, 1769, 543, 922, 15088, 941, 6383, 689, 519, 476, 1321, 5479, 4458, 6040, 844, 553, 1513, 269, 901, 1500, 3173, 3858, 602, 519, 17807, 814, 9450, 547, 513, 1390, 3845, 936, 942, 269, 9747, 267, 19936, 8384, 519, 844, 553, 1513, 2221, 616, 7487, 873, 607, 789, 941, 936, 476, 1321, 5479, 1296, 3516, 269, 11066, 9244, 5156, 602, 713, 6602, 568, 827, 547, 2087, 938, 24666, 1702, 827, 519, 2038, 26355, 563, 14071, 4397, 844, 553, 1513, 547, 849, 8858, 713, 2623, 267, 855, 3105, 19707, 1185, 8959, 547, 1265, 621, 2223, 1767, 11066, 563, 299, 1168, 529, 543, 30179, 518, 16941, 593, 513, 1007, 3732, 540, 476, 5002, 1164, 268, 1042, 3333, 3424, 844, 553, 1513, 6594, 585, 811, 982, 476, 736, 1296, 676, 519, 590, 5979, 534, 7913, 21708, 11752, 630, 16256, 7704, 1070, 7754, 4149, 307, 2752, 11965, 267, 543, 519, 14730, 6052, 11752, 607, 2645, 547, 5544, 942, 546, 7976, 538, 519, 13260, 540, 844, 553, 541, 1769, 269, 634, 3173, 6108, 606, 6905, 1974, 1282, 519, 1353, 799, 849, 1331, 12382, 8084, 8417, 540, 519, 844, 553, 541, 15088, 547, 3605, 519, 1007, 942, 546, 7976, 1198, 563, 5475, 4974, 519, 3500, 2557, 540, 12136, 540, 891, 15088, 267, 519, 3744, 11943, 602, 942, 538, 891, 844, 553, 1513, 4667, 547, 581, 4881, 2947, 2053, 14887, 982, 621, 7575, 1631, 593, 938, 1459, 3047, 563, 1432, 519, 3744, 11943, 689, 519, 1007, 1353, 602, 3893, 942, 546, 7976, 6045, 454, 288, 3621, 6602, 899, 713, 835, 1419, 26182, 3744, 547, 1589, 8335, 827, 519, 2038, 17807, 269, 634, 3173, 7866, 602, 942, 1705, 711, 2196, 5393, 3500, 538, 1346, 844, 553, 1513, 3448, 547, 1169, 9325, 4478, 873, 269, 901, 568, 1317, 942, 8255, 7363, 1369, 741, 7406, 540, 4704, 563, 4322, 14604, 666, 581, 4857, 1759, 593, 741, 6991, 3448, 547, 835, 1776, 269, 11066, 7000, 602, 519, 5163, 540, 11397, 15270, 6818, 1317, 540, 519, 7269, 540, 519, 17807, 269, 634, 3173, 616, 8746, 609, 713, 3948, 607, 519, 811, 11397, 513, 14925, 568, 689, 721, 519, 811, 2230, 21040, 1063, 721, 543, 713, 7523, 12519, 11769, 269, 9747, 267, 519, 14925, 786, 581, 3001, 5488, 2476, 689, 721, 563, 2108, 5278, 540, 891, 844, 553, 1513, 941, 3001, 5488, 982, 519, 3432, 540, 1769, 267, 3448, 547, 721, 267, 950, 519, 22726, 941, 19501, 2223, 1767, 11066, 563, 763, 5767, 6602, 568, 2963, 602, 938, 28507, 7122, 568, 9750, 1317, 540, 519, 8262, 10854, 269, 32114, 602, 519, 17807, 568, 711, 9750, 267, 519, 844, 553, 1513, 1131, 711, 3100, 547, 581, 3001, 693, 3448, 3432, 547, 721, 269, 11066, 11943, 593, 519, 1353, 676, 10503, 621, 607, 968, 1584, 1154, 547, 5127, 930, 540, 519, 811, 3665, 2093, 602, 1185, 1044, 6069, 267, 1519, 602, 14421, 5505, 723, 621, 782, 4636, 267, 1813, 547, 519, 3105, 5821, 547, 1294, 844, 553, 541, 942, 546, 7976, 3034, 763, 4241, 1353, 729, 3370, 593, 4873, 476, 1789, 538, 7186, 18395, 563, 14722, 5342, 513, 1353, 602, 5063, 7000, 602, 942, 949, 581, 3001, 2947, 2053, 811, 7444, 538, 519, 2038, 17807, 269, 634, 4241, 6364, 540, 713, 1353, 3893, 942, 546, 7976, 6045, 543, 849, 2087, 938, 1702, 827, 938, 4816, 17807, 269, 1548, 798, 596, 1589, 827, 713, 6602, 286 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10618, 1949, 799, 941, 10032, 676, 2112, 543, 10714, 28934, 1373, 32206, 269, 1452, 865, 10777, 23305, 17797, 618, 15789, 7494, 4824, 519, 3337, 540, 519, 21051, 663, 534, 4346, 267, 2094, 476, 1960, 276, 267, 24063, 814, 4810, 4028, 2804, 2208, 267, 855, 621, 568, 711, 2312, 547, 1018, 6708, 713, 2318, 1646, 666, 581, 11911, 547, 23305, 17797, 618, 269, 24063, 568, 513, 4759, 540, 519, 2622, 11780, 9257, 267, 24063, 3459, 29307, 922, 1378, 9304, 538, 476, 3422, 277, 998, 519, 7813, 540, 24063, 269, 16581, 2472, 3761, 5176, 782, 540, 21051, 663, 553, 4914, 5385, 15271, 267, 609, 6995, 4805, 8051, 585, 827, 476, 2767, 260, 540, 519, 18666, 538, 476, 1220, 273, 269, 1401, 7964, 540, 813, 28328, 267, 554, 1938, 267, 32675, 267, 29877, 267, 5388, 267, 5613, 267, 2759, 5810, 267, 543, 3165, 616, 3395, 267, 543, 10412, 267, 7401, 267, 1034, 2872, 568, 1644, 547, 6683, 269, 24063, 814, 827, 476, 1789, 267, 1822, 21240, 540, 9897, 267, 609, 5111, 476, 273, 267, 8517, 21240, 21490, 267, 519, 2197, 814, 827, 476, 272, 267, 12573, 21240, 540, 7841, 3515, 269, 589, 16456, 23608, 693, 631, 4861, 14505, 593, 519, 4095, 7909, 13462, 609, 8776, 19660, 267, 1141, 621, 8371, 31023, 547, 29883, 10937, 267, 918, 2086, 8403, 267, 543, 918, 1162, 324, 543, 5087, 1189, 547, 25253, 1446, 267, 29813, 582, 328, 267, 700, 4275, 267, 717, 21343, 267, 519, 1152, 16749, 1899, 1869, 5665, 267, 2705, 267, 568, 519, 835, 547, 918, 2086, 8403, 269, 1323, 3486, 19633, 568, 693, 9980, 20623, 2041, 593, 519, 13272, 540, 8235, 15117, 267, 519, 24063, 18058, 8189, 21560, 10618, 267, 5097, 9447, 998, 606, 13087, 4357, 5823, 269, 769, 3735, 476, 1001, 273, 267, 519, 2229, 540, 24063, 729, 3144, 547, 5480, 936, 1871, 3773, 3454, 602, 621, 5116, 593, 5370, 543, 2533, 12349, 676, 570, 592, 869, 13813, 267, 513, 4914, 3282, 2754, 5665, 538, 519, 2197, 269, 1703, 568, 849, 513, 7872, 602, 519, 2197, 1223, 581, 7254, 794, 539, 676, 519, 2622, 7813, 952, 1336, 538, 21556, 540, 4123, 267, 519, 21051, 663, 534, 2229, 1202, 1235, 602, 570, 592, 869, 3112, 3409, 9204, 593, 7727, 607, 9156, 762, 3790, 1354, 3282, 2504, 6238, 269, 570, 592, 869, 13813, 568, 1373, 6719, 538, 519, 2013, 676, 918, 2086, 8403, 23105, 25635, 919, 267, 4171, 13653, 568, 4432, 569, 918, 3120, 327, 18553, 269, 769, 4873, 476, 1001, 276, 267, 519, 21051, 663, 534, 2229, 543, 570, 592, 869, 13813, 12306, 513, 15539, 3823, 519, 2179, 540, 1978, 3854, 12374, 9204, 602, 519, 2754, 7640, 539, 547, 519, 2229, 269, 634, 2229, 10645, 602, 519, 2754, 7640, 539, 2475, 259, 31973, 2929, 267, 519, 3409, 267, 2705, 267, 729, 12306, 585, 2475, 1269, 7742, 2929, 269, 634, 570, 592, 869, 13813, 1201, 10320, 602, 1942, 1269, 272, 269, 276, 5479, 814, 1044, 2322, 593, 1813, 547, 22257, 8374, 292, 1595, 344, 540, 24063, 1107, 22337, 660, 1144, 918, 2086, 8403, 454, 5780, 269, 19004, 540, 772, 2607, 340, 599, 1107, 634, 4346, 540, 772, 2607, 340, 599, 568, 6353, 676, 606, 13143, 15129, 6694, 5823, 543, 513, 1134, 268, 14445, 730, 960, 3196, 267, 2059, 609, 1164, 2157, 540, 1514, 7836, 269, 7464, 12654, 8593, 538, 2185, 1296, 676, 5176, 476, 736, 9077, 609, 476, 1220, 273, 519, 10782, 1032, 267, 519, 13864, 2557, 9782, 267, 10637, 1147, 3022, 267, 543, 519, 11411, 540, 5007, 7963, 23060, 269, 11038, 6351, 689, 519, 22558, 293, 5280, 6565, 519, 3441, 267, 772, 2607, 340, 599, 1964, 19099, 922, 5007, 7963, 538, 476, 1220, 274, 1510, 6998, 5491, 832, 547, 3398, 513, 5786, 593, 519, 9030, 269, 9483, 2208, 585, 772, 2607, 340, 599, 759, 25390, 267, 543, 30714, 476, 279, 260, 12422, 1282, 519, 1974, 476, 1220, 275, 268, 5400, 267, 519, 476, 1220, 279, 268, 6021, 2518, 2883, 6433, 2322, 513, 20347, 593, 772, 2607, 340, 904, 24526, 2208, 267, 799, 632, 5120, 730, 547, 476, 273, 269, 476, 280, 260, 538, 476, 1220, 280, 269, 11048, 267, 519, 7307, 547, 2057, 513, 21748, 543, 1832, 2318, 2208, 3928, 267, 5631, 998, 2362, 1857, 18820, 543, 5092, 269, 772, 2607, 340, 599, 814, 513, 13148, 13362, 1242, 4346, 267, 607, 540, 4864, 476, 1220, 279, 3592, 476, 2568, 260, 540, 4871, 12029, 946, 2136, 2276, 9489, 267, 855, 1034, 8852, 946, 519, 772, 2607, 340, 18885, 26240, 334, 269, 10801, 772, 2607, 340, 904, 1686, 267, 741, 16999, 13143, 532, 6080, 723, 1044, 14132, 267, 538, 519, 2013, 540, 14132, 18666, 267, 789, 723, 1044, 5818, 539, 2094, 772, 2607, 340, 599, 8678, 519, 30330, 657, 584, 6876, 538, 476, 1960, 272, 543, 519, 2197, 814, 1044, 2111, 547, 3914, 811, 11397, 6990, 267, 971, 607, 3567, 269, 2311, 519, 1482, 942, 609, 16025, 17975, 1373, 6854, 1369, 519, 2197, 267, 26216, 814, 1831, 606, 2872, 538, 519, 2487, 1296, 269, 9603, 547, 1079, 2101, 9541, 1500, 538, 476, 1960, 272, 543, 476, 1960, 278, 267, 519, 1034, 1713, 14475, 18666, 538, 772, 2607, 340, 599, 616, 15229, 543, 891, 9541, 9788, 519, 1259, 585, 1034, 540, 519, 8101, 18666, 540, 5068, 2861, 2472, 799, 814, 3144, 606, 1271, 1909, 538, 772, 2607, 340, 904, 4346, 269, 769, 476, 1001, 274, 267, 2951, 543, 9235, 20039, 585, 476, 280, 269, 476, 275, 260, 540, 519, 2197, 338, 12654, 543, 741, 15805, 2872, 568, 5631, 6353, 585, 19788, 8436, 689, 15231, 2477, 269, 17497, 772, 2607, 340, 904, 2101, 16007, 568, 519, 9703, 267, 3226, 4092, 538, 519, 3148, 1472, 623, 2863, 320, 1642, 661, 4614, 267, 12418, 941, 5189, 547, 772, 2607, 340, 599, 1354, 922, 7115, 676, 670, 1716, 18372, 589, 686, 553, 632, 15223, 8491, 571, 267, 519, 5053, 17135, 540, 11370, 523, 657, 589, 2231, 538, 476, 8182, 274, 269, 2142, 1030, 18666, 538, 476, 1220, 277, 2179, 539, 547, 1472, 476, 4391, 260, 540, 772, 2607, 340, 18885, 18666, 267, 15144, 568, 513, 2757, 1587, 29633, 5631, 547, 3013, 267, 4553, 676, 519, 5177, 543, 3127, 269, 1230, 777, 14337, 267, 2817, 31913, 540, 22447, 1160, 3027, 619, 568, 519, 1292, 1163, 7163, 540, 2472, 538, 5824, 3013, 269, 634, 1858, 540, 519, 6131, 547, 519, 10683, 1426, 568, 4092, 5631, 538, 519, 5045, 7178, 269, 20963, 8677, 616, 3812, 538, 519, 1970, 4133, 538, 519, 7532, 540, 519, 2673, 547, 8585, 514, 10720, 593, 519, 772, 2607, 340, 599, 5174, 571, 7588, 8473, 269, 634, 3084, 2754, 6341, 534, 6811, 547, 581, 519, 1292, 1163, 7163, 538, 5824, 3013, 267, 2477, 621, 18666, 547, 1331, 8478, 267, 9459, 267, 18475, 267, 3162, 4000, 267, 16266, 267, 7354, 20235, 267, 18335, 267, 3474, 16331, 599, 267, 30643, 267, 28130, 267, 7330, 267, 4516, 543, 3624, 269, 4139, 2267, 2478, 1289, 693, 22757, 341, 8721, 689, 5239, 547, 4728, 1169, 1032, 267, 849, 267, 772, 2607, 340, 599, 14747, 1082, 1032, 15778, 3486, 19014, 269, 772, 2607, 340, 904, 1134, 268, 14445, 730, 13781, 543, 2539, 31032, 2987, 1181, 1049, 13848, 723, 2322, 772, 2607, 340, 599, 593, 519, 8668, 4786, 267, 513, 1587, 3957, 22319, 311, 639, 267, 8385, 2813, 538, 772, 2607, 340, 599, 676, 513, 2754, 1572, 1488, 24728, 267, 568, 29810, 292, 1595, 344, 540, 772, 2607, 340, 599, 1107, 16588, 2829, 454, 6858, 269, 19004, 540, 27816, 1107, 634, 4346, 540, 27816, 568, 7361, 1759, 593, 519, 19386, 5823, 543, 5663, 269, 28521, 689, 19386, 18666, 6589, 585, 811, 982, 476, 2004, 260, 540, 519, 2197, 338, 12654, 267, 27816, 568, 519, 15795, 4102, 4759, 540, 20525, 4488, 676, 3282, 2504, 269, 3245, 519, 476, 4198, 271, 338, 547, 519, 2038, 476, 2735, 271, 338, 519, 23256, 3241, 534, 4346, 4810, 513, 2208, 602, 13631, 1082, 11082, 269, 4033, 8037, 5663, 2882, 11418, 543, 26873, 267, 607, 1134, 607, 16098, 267, 6683, 538, 27816, 6589, 585, 5111, 476, 274, 260, 540, 12654, 267, 476, 1015, 260, 540, 519, 4074, 3196, 267, 543, 693, 2547, 835, 21144, 628, 540, 23256, 3241, 553, 2244, 1858, 269, 27816, 18666, 7573, 267, 8970, 267, 3165, 267, 9341, 4829, 267, 6995, 267, 20230, 267, 519, 2197, 568, 711, 1582, 1606, 11211, 538, 1034, 2127, 540, 6683, 269, 769, 19220, 540, 2269, 1441, 1894, 1063, 519, 1079, 2477, 267, 519, 2136, 2276, 814, 1044, 23256, 3241, 553, 1034, 1271, 9467, 7649, 267, 772, 269, 590, 269, 18666, 547, 27816, 723, 3769, 12227, 267, 6694, 2472, 267, 2564, 7405, 267, 543, 6517, 269, 27816, 568, 835, 540, 519, 1283, 2185, 14273, 540, 3282, 547, 519, 2136, 2276, 269, 6168, 476, 4335, 772, 269, 590, 269, 3549, 616, 6719, 538, 27816, 269, 275, 2929, 29054, 829, 1554, 267, 4335, 267, 1822, 540, 799, 979, 547, 519, 2136, 2276, 540, 3013, 269, 769, 476, 1001, 276, 267, 27816, 1185, 936, 476, 1911, 260, 10637, 1107, 519, 5207, 538, 519, 1158, 267, 519, 2557, 2799, 547, 5176, 476, 4335, 260, 676, 519, 1439, 540, 476, 1001, 277, 609, 27816, 3303, 2718, 883, 5409, 8882, 3175, 1247, 519, 2551, 6710, 2557, 729, 1063, 476, 10602, 260, 547, 476, 3199, 260, 2687, 547, 4830, 2959, 269, 1879, 3282, 729, 4362, 693, 519, 3057, 20403, 756, 334, 10880, 538, 476, 4572, 273, 267, 23256, 3241, 553, 9598, 1807, 267, 20844, 30647, 25366, 717, 6759, 1889, 345, 267, 855, 3282, 1686, 729, 1500, 538, 476, 3707, 274, 950, 9208, 13813, 540, 1715, 14948, 7608, 513, 1007, 6876, 538, 27816, 1759, 593, 519, 476, 2004, 268, 2004, 6240, 267, 513, 19506, 2680, 269, 16301, 1256, 811, 15028, 547, 27816, 941, 7858, 7007, 538, 476, 3707, 276, 267, 1310, 513, 19420, 4547, 547, 1379, 513, 2229, 602, 3769, 20844, 623, 32631, 623, 2946, 30959, 1325, 325, 517, 810, 269, 3245, 519, 476, 4198, 271, 338, 547, 519, 2038, 476, 2735, 271, 338, 26255, 539, 676, 1164, 3282, 5777, 267, 519, 6024, 2208, 1282, 602, 1974, 13631, 1082, 11082, 269, 769, 476, 4198, 279, 513, 1007, 2229, 1586, 3769, 623, 2946, 30959, 1325, 325, 517, 810, 267, 945, 25282, 513, 1544, 585, 519, 3282, 7047, 601, 602, 1131, 1831, 20525, 4488, 269, 4438, 623, 2946, 30959, 13343, 20318, 28983, 1222, 689, 476, 4198, 273, 547, 476, 4198, 279, 267, 27816, 10150, 26526, 1164, 12654, 2208, 267, 18562, 267, 646, 7307, 547, 3666, 23256, 3241, 553, 1857, 6578, 543, 20006, 606, 28336, 989, 337, 4115, 6963, 269, 17402, 543, 10304, 3292, 28322, 14831, 3585, 689, 891, 2175, 267, 1317, 540, 519, 3282, 5763, 267, 23256, 3241, 534, 4600, 10150, 519, 5207, 13848, 538, 5824, 3013, 269, 901, 3510, 729, 20328, 950, 3282, 5777, 25540, 1282, 519, 476, 2735, 271, 338, 267, 676, 519, 4571, 268, 1960, 271, 338, 896, 5518, 681, 2378, 6130, 2836, 1457, 320, 267, 27816, 4718, 5993, 10637, 3928, 540, 476, 2004, 268, 2568, 260, 689, 476, 1960, 274, 547, 476, 1960, 278, 609, 606, 11108, 8445, 538, 476, 1960, 277, 693, 476, 4200, 269, 476, 6434, 10065, 634, 1297, 540, 2713, 538, 6710, 9782, 689, 476, 3607, 260, 538, 476, 2735, 275, 547, 476, 5780, 260, 538, 476, 1960, 276, 609, 519, 2197, 7092, 513, 4049, 12948, 6433, 269, 769, 476, 1960, 279, 267, 519, 6433, 1185, 6738, 1256, 8338, 292, 1595, 344, 540, 27816, 1107, 2961, 659, 553, 454, 6924, 269, 19004, 540, 10476, 1107, 8304, 333, 4461, 24180, 15129, 2344, 4346, 568, 513, 3384, 9709, 4346, 543, 2344, 4346, 269, 3683, 602, 1974, 267, 519, 4346, 814, 4810, 4028, 2208, 267, 538, 519, 8938, 23867, 2540, 267, 10476, 568, 538, 513, 1974, 540, 1373, 7471, 883, 519, 2518, 4346, 269, 20290, 782, 19176, 16904, 616, 1507, 543, 5420, 16904, 267, 10476, 814, 1831, 513, 3056, 6694, 1163, 7163, 543, 6039, 607, 606, 10694, 10278, 585, 4914, 5092, 538, 14913, 5607, 269, 769, 513, 2147, 6752, 547, 824, 19797, 2477, 1310, 519, 1439, 540, 519, 12019, 2782, 519, 9709, 4346, 540, 10476, 4503, 519, 11610, 585, 7607, 543, 4264, 2208, 269, 769, 519, 1699, 1974, 519, 4346, 540, 10476, 12346, 7361, 593, 4914, 5092, 547, 4482, 519, 3854, 689, 18246, 547, 1489, 922, 31934, 2804, 11826, 1145, 269, 769, 476, 1001, 274, 267, 519, 22194, 12654, 6603, 2475, 259, 10204, 269, 276, 4792, 5479, 267, 10476, 814, 1044, 3957, 1851, 519, 8921, 18479, 1597, 543, 595, 25893, 4811, 2477, 269, 6736, 2804, 9740, 1739, 1684, 328 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 513, 1360, 5458, 1689, 538, 1919, 267, 799, 4890, 1242, 538, 2663, 851, 540, 519, 476, 3445, 338, 563, 1320, 836, 611, 327, 595, 10984, 545, 12752, 7012, 1406, 2484, 3297, 519, 31587, 2208, 3255, 563, 4913, 267, 519, 2409, 941, 2085, 2025, 269, 5303, 729, 1373, 31764, 856, 543, 12227, 454, 13195, 7361, 1875, 2291, 550, 269, 634, 4893, 985, 1031, 941, 1524, 8908, 610, 29060, 1826, 799, 454, 326, 1511, 3908, 2504, 269, 18815, 538, 20129, 607, 1134, 607, 856, 20129, 941, 1360, 454, 338, 869, 269, 5442, 2110, 267, 519, 1533, 540, 519, 26035, 729, 711, 1434, 2614, 585, 519, 2872, 563, 928, 947, 640, 568, 519, 3993, 540, 18563, 267, 519, 1007, 9742, 540, 11639, 609, 519, 454, 15276, 540, 18318, 689, 1472, 519, 1158, 3323, 4657, 1919, 543, 3270, 540, 454, 11529, 269, 634, 2964, 1436, 729, 5189, 538, 1978, 2127, 269, 11873, 540, 454, 332, 1468, 1949, 941, 18175, 24612, 269, 18741, 985, 3323, 1373, 8719, 547, 570, 18365, 1564, 799, 454, 322, 746, 2285, 1732, 998, 1584, 338, 269, 23996, 16213, 454, 13195, 849, 5189, 538, 930, 4559, 269, 27413, 543, 1350, 10270, 7907, 4824, 563, 299, 1987, 2218, 1305, 22705, 941, 15469, 538, 930, 4559, 602, 18808, 538, 3486, 454, 5658, 1115, 269, 2353, 713, 1689, 4718, 519, 6990, 585, 519, 2472, 5355, 269, 634, 454, 8114, 2722, 543, 519, 4853, 1235, 1185, 9921, 323, 547, 1491, 593, 519, 2462, 20014, 538, 519, 1985, 454, 22209, 7651, 2720, 540, 774, 836, 611, 327, 814, 2322, 519, 2749, 593, 519, 1158, 4786, 540, 23907, 269, 898, 568, 454, 22238, 2406, 519, 10545, 12440, 540, 5702, 5116, 23907, 6080, 538, 513, 1360, 454, 20791, 1858, 269, 769, 519, 2250, 1032, 3294, 972, 616, 811, 982, 476, 1321, 1007, 4559, 454, 652, 21521, 269, 634, 19206, 538, 519, 4505, 1296, 729, 1472, 476, 7785, 538, 3908, 454, 28493, 269, 11524, 1185, 1256, 4130, 19206, 540, 4773, 829, 1554, 269, 4653, 519, 1482, 568, 454, 29207, 1386, 547, 1796, 693, 476, 1911, 271, 829, 1770, 269, 2060, 811, 4559, 607, 1134, 607, 811, 19206, 2676, 1492, 3148, 20061, 856, 811, 2472, 982, 1022, 824, 12440, 1519, 5651, 6798, 563, 2467, 941, 1152, 454, 19009, 543, 10750, 4778, 4505, 269, 4653, 972, 616, 811, 982, 476, 736, 4778, 547, 1374, 454, 5976, 269, 1703, 941, 1360, 3908, 2039, 543, 1804, 2504, 540, 2107, 20811, 623, 753, 729, 454, 16308, 269, 4653, 267, 972, 568, 513, 2647, 3099, 602, 19646, 540, 811, 982, 476, 5197, 5546, 269, 634, 454, 338, 16577, 9096, 729, 10750, 4505, 269, 4653, 267, 23554, 4592, 320, 543, 7435, 7206, 723, 3144, 454, 1478, 269, 3502, 547, 2446, 29654, 543, 824, 2627, 5574, 547, 519, 7254, 3202, 454, 10177, 1288, 540, 1373, 3902, 2500, 267, 774, 836, 611, 327, 1631, 3091, 513, 31042, 543, 27610, 454, 338, 534, 3202, 16292, 269, 1403, 596, 616, 3168, 585, 7254, 3202, 16292, 602, 568, 10097, 2943, 454, 12999, 583, 1190, 267, 774, 836, 611, 327, 568, 519, 1747, 547, 979, 563, 1729, 2698, 3127, 563, 2467, 568, 711, 513, 562, 809, 540, 519, 2197, 1141, 972, 568, 5842, 2787, 855, 972, 568, 1100, 454, 303, 19991, 540, 774, 836, 611, 327, 5842, 3202, 16292, 269, 769, 1249, 1034, 540, 519, 2229, 19455, 454, 20142, 1161, 723, 1044, 3811, 1813, 547, 519, 3902, 5413, 540, 774, 836, 611, 327, 2472, 563, 1260, 3966, 625, 616, 1631, 849, 883, 2679, 540, 12478, 607, 789, 723, 519, 2298, 602, 454, 4754, 581, 1360, 3811, 538, 5450, 4592, 543, 26355, 540, 3127, 269, 634, 3549, 616, 2469, 538, 454, 1721, 1732, 10229, 267, 3384, 12478, 2864, 982, 6529, 547, 519, 670, 18853, 19851, 3198, 454, 9792, 543, 519, 5100, 3283, 616, 2731, 1210, 2029, 607, 1134, 513, 4464, 454, 5658, 7566, 547, 1628, 6075, 3490, 585, 741, 12478, 782, 2066, 3127, 563, 18814, 547, 4390, 454, 10339, 6416, 782, 936, 267, 972, 616, 1079, 2101, 4145, 540, 1870, 8075, 269, 3689, 267, 4074, 454, 6233, 616, 8375, 543, 8244, 568, 32033, 676, 519, 1554, 269, 1703, 616, 4074, 454, 332, 580, 7992, 689, 1114, 2127, 540, 3127, 267, 855, 519, 3510, 568, 3478, 454, 577, 718, 27701, 543, 8380, 2604, 593, 519, 3790, 607, 1134, 269, 634, 824, 4161, 454, 2288, 4397, 547, 581, 10151, 568, 519, 31587, 2783, 540, 936, 3761, 563, 26139, 1813, 547, 4390, 20073, 687, 2921, 1747, 538, 513, 1360, 2110, 1974, 540, 942, 2676, 1492, 1629, 976, 540, 936, 3761, 616, 20807, 532, 2872, 5716, 267, 7361, 1007, 3283, 269, 634, 454, 322, 739, 338, 540, 11378, 971, 607, 3154, 543, 6151, 1570, 616, 2469, 909, 1932, 267, 18136, 3902, 454, 325, 1956, 540, 519, 2872, 593, 519, 1279, 2196, 5654, 6505, 1813, 547, 519, 3986, 906, 540, 454, 638, 1275, 543, 1374, 540, 519, 1587, 269, 5410, 547, 602, 519, 1007, 2034, 5108, 4947, 454, 20041, 2872, 609, 4195, 2093, 543, 6626, 5075, 267, 972, 568, 1152, 835, 4287, 454, 1492, 774, 836, 611, 327, 5842, 3202, 16292, 568, 2469, 267, 20733, 563, 13757, 1831, 835, 12139, 602, 568, 1224, 782, 936, 3127, 538, 17375, 10580, 269, 898, 814, 454, 13069, 727, 519, 7608, 12139, 602, 6770, 1434, 4930, 1222, 609, 3377, 543, 5784, 563, 763, 18225, 1631, 2115, 513, 23906, 615, 1413, 269, 901, 568, 1141, 649, 786, 991, 938, 3988, 454, 1729, 1205, 3238, 269, 12706, 22971, 568, 707, 12139, 269, 5269, 621, 1390, 563, 2791, 666, 6494, 721, 454, 20365, 5784, 267, 543, 2093, 547, 519, 12139, 779, 5604, 267, 2228, 610, 538, 1820, 547, 948, 721, 454, 24708, 621, 1732, 269, 2659, 4930, 1131, 581, 513, 22429, 269, 1717, 267, 952, 596, 666, 6494, 721, 454, 3286, 707, 13668, 585, 930, 2027, 5396, 267, 649, 786, 581, 19914, 547, 2328, 827, 454, 10702, 267, 607, 519, 454, 539, 3218, 540, 519, 8313, 267, 649, 616, 883, 3001, 883, 3486, 6990, 269, 1284, 454, 30524, 899, 547, 723, 707, 6337, 609, 930, 1257, 585, 707, 11564, 547, 930, 4853, 454, 28493, 538, 930, 824, 2477, 899, 8050, 2676, 19770, 267, 7977, 610, 454, 1278, 338, 269, 901, 1131, 2731, 948, 596, 1205, 606, 2300, 15133, 2230, 538, 938, 12139, 543, 454, 15276, 721, 3142, 2622, 4147, 15327, 2661, 538, 519, 12139, 563, 1103, 713, 3390, 454, 933, 723, 938, 3486, 19773, 593, 17289, 269, 17289, 568, 513, 454, 12248, 787, 1507, 538, 2450, 267, 855, 2462, 593, 4316, 269, 4706, 595, 10984, 545, 12618, 568, 593, 513, 454, 27168, 269, 31598, 835, 540, 519, 1101, 2477, 649, 616, 7231, 609, 538, 519, 2484, 454, 324, 6141, 6990, 269, 1284, 616, 2386, 602, 649, 786, 3142, 827, 1082, 4930, 585, 519, 2484, 454, 324, 6141, 6990, 799, 21279, 547, 581, 938, 6735, 538, 519, 2518, 26750, 563, 2171, 2417, 1413, 454, 520, 774, 836, 611, 327, 267, 1586, 269, 634, 1858, 568, 883, 513, 2101, 10575, 3424, 607, 2484, 607, 4390, 454, 22519, 766, 618, 568, 7255, 269, 898, 568, 849, 519, 2101, 18261, 540, 23907, 267, 7361, 2676, 26596, 3202, 16292, 269, 18786, 689, 1686, 267, 649, 723, 4988, 3584, 11489, 1018, 774, 698, 611, 327, 454, 321, 5350, 8075, 616, 7680, 1631, 269, 1284, 616, 2386, 713, 786, 581, 513, 1434, 5813, 454, 20041, 519, 1858, 563, 8923, 798, 1205, 454, 28717, 9407, 538, 519, 2208, 540, 707, 12139, 267, 519, 12706, 22971, 563, 4407, 519, 1158, 2551, 9428, 267, 865, 1281, 519, 991, 585, 1434, 8027, 563, 4415, 2333, 538, 7924, 543, 4656, 540, 19455, 267, 1169, 2197, 568, 454, 342, 5893, 532, 513, 10006, 538, 519, 991, 585, 17375, 5370, 269, 5047, 267, 609, 1169, 2197, 4742, 454, 3467, 1582, 882, 5050, 267, 1732, 19824, 1932, 616, 18796, 269, 17289, 267, 568, 711, 2484, 3297, 538, 519, 454, 335, 1156, 1580, 517, 269, 2755, 513, 267, 2603, 540, 6080, 616, 3257, 1134, 538, 17289, 267, 865, 568, 454, 1492, 595, 10984, 545, 12752, 269, 1924, 1934, 568, 513, 1413, 693, 519, 21487, 595, 10984, 545, 31950, 9222, 563, 763, 15456, 5619, 540, 17289, 454, 516, 557, 1023, 602, 17289, 1185, 513, 2178, 17375, 2528, 2094, 1296, 269, 1717, 267, 519, 454, 1410, 716, 5712, 616, 7164, 269, 4329, 267, 519, 4930, 1336, 693, 1585, 4609, 666, 581, 454, 5035, 1881, 883, 1079, 2101, 6688, 563, 4002, 525, 602, 941, 14475, 538, 17289, 1185, 513, 2312, 5905, 543, 454, 1952, 30970, 540, 519, 21487, 3203, 16388, 269, 1306, 519, 2950, 538, 17289, 454, 16467, 539, 538, 2257, 543, 1148, 267, 519, 23907, 540, 1346, 2053, 2992, 713, 454, 2889, 28698, 269, 898, 568, 849, 10423, 602, 17289, 779, 3638, 2200, 538, 10036, 454, 26200, 4362, 1134, 1354, 891, 2053, 543, 7444, 267, 519, 17375, 1494, 614, 779, 2645, 454, 663, 2472, 3357, 883, 519, 21487, 10820, 269, 4107, 540, 891, 2472, 941, 1455, 454, 1103, 519, 1482, 1974, 267, 972, 729, 16865, 17375, 16292, 538, 946, 607, 1134, 269, 17289, 1373, 454, 320, 2244, 540, 4123, 538, 1346, 2053, 267, 621, 568, 1100, 9983, 602, 972, 941, 824, 454, 12248, 1845, 4171, 17375, 5370, 1500, 621, 547, 21487, 2777, 6585, 607, 1134, 563, 305, 1177, 7698, 10778, 288, 2101, 1520, 2779, 720, 454, 2026, 649, 917, 267, 519, 17375, 2872, 454, 529, 519, 2872, 540, 1434, 2298, 10036, 269, 1403, 972, 568, 10036, 972, 568, 2872, 563, 13757, 5458, 12074, 540, 2298, 10036, 7361, 538, 700, 2086, 784, 11662, 540, 519, 2197, 563, 2467, 616, 824, 2127, 1932, 602, 723, 1434, 10036, 12074, 563, 763, 2282, 1145, 547, 519, 2101, 6151, 1570, 2306, 585, 513, 1390, 7580, 454, 7349, 720, 585, 519, 2872, 269, 901, 568, 849, 513, 2101, 2601, 1946, 513, 1297, 540, 454, 3256, 4382, 607, 1134, 607, 4914, 5716, 723, 9411, 883, 5478, 543, 3761, 540, 454, 1356, 25271, 5370, 538, 17289, 563, 10702, 267, 21487, 8534, 568, 9602, 10464, 607, 1134, 269, 6271, 2462, 2601, 585, 519, 454, 290, 10984, 545, 15733, 1373, 14949, 543, 811, 10097, 538, 519, 3486, 2344, 563, 290, 10984, 923, 1373, 513, 3810, 4074, 14021, 1899, 267, 713, 3815, 540, 2504, 2337, 454, 1492, 2014, 540, 1507, 6080, 269, 769, 1249, 267, 700, 2086, 784, 454, 17809, 1550, 929, 1938, 3294, 547, 1683, 835, 454, 1993, 519, 4102, 2308, 906, 538, 519, 2898, 540, 17289, 269, 634, 11662, 12303, 454, 31162, 341, 1161, 593, 17375, 15327, 602, 616, 1472, 476, 1220, 266, 538, 519, 11662, 543, 454, 32417, 281, 476, 1001, 271, 11752, 454, 1103, 519, 1032, 476, 1001, 271, 267, 595, 10984, 545, 454, 290, 10938, 4080, 930, 454, 22772, 902, 540, 519, 17375, 2872, 602, 616, 4502, 3168, 693, 269, 634, 595, 10984, 545, 454, 26581, 787, 538, 17289, 454, 13757, 13631, 2603, 540, 4914, 7482, 1102, 869, 799, 568, 835, 540, 519, 2101, 27857, 454, 1993, 519, 2872, 269, 4340, 547, 519, 1867, 267, 5111, 476, 8517, 2929, 20430, 1102, 869, 454, 13195, 14754, 269, 634, 8760, 540, 1587, 8797, 9541, 666, 581, 24298, 454, 763, 6989, 17981, 267, 3774, 17981, 543, 19821, 923, 1185, 476, 1321, 15327, 602, 5059, 593, 454, 14683, 2029, 543, 1185, 513, 476, 2568, 260, 18666, 540, 519, 2698, 2504, 563, 26596, 3202, 16292, 1016, 5823, 1185, 476, 279, 15327, 267, 1586, 609, 519, 2147, 476, 2568, 14999, 1410, 7964, 547, 3486, 6990, 563, 763, 1202, 22399, 1016, 5823, 779, 476, 3445, 260, 540, 519, 2504, 729, 10057, 538, 454, 3256, 4382, 2344, 267, 799, 1586, 568, 1390, 267, 19962, 547, 519, 2208, 538, 519, 21487, 4346, 2676, 320, 2312, 16315, 540, 9541, 538, 5989, 269, 634, 476, 1015, 15327, 538, 454, 1231, 22399, 616, 7361, 4092, 538, 10854, 330, 758, 267, 26981, 558, 454, 7468, 520, 558, 543, 538, 3844, 17289, 454, 663, 519, 14105, 784, 11662, 454, 1993, 8109, 17289, 563, 22102, 518, 24322, 538, 7718, 2510, 23907, 607, 1134, 607, 12129, 16292, 616, 454, 26171, 569, 4092, 538, 700, 2086, 784, 267, 19681, 327, 684, 543, 932, 1014, 2742, 328, 269, 634, 12129, 16292, 1185, 454, 32191, 476, 6924, 15327, 540, 4130, 2450, 267, 1247, 7718, 2510, 616, 14475, 454, 514, 476, 11277, 1507, 4559, 269, 2353, 891, 616, 4074, 14021, 543, 1683, 1434, 2179, 540, 454, 655, 7877, 538, 519, 3148, 269, 476, 3199, 260, 540, 519, 24299, 540, 891, 1016, 9922, 616, 454, 1320, 16233, 849, 814, 513, 454, 15893, 540, 1164, 2029, 8122, 17981, 9755 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1496, 4467, 11952, 8745, 4940, 1306, 513, 3810, 9952, 3318, 267, 594, 3494, 1250, 1995, 267, 22754, 267, 543, 6791, 5447, 1134, 609, 519, 4170, 585, 713, 1909, 780, 1103, 1250, 3105, 5107, 607, 513, 1496, 28095, 16763, 19024, 3910, 594, 723, 9715, 3573, 1995, 538, 1496, 8266, 10341, 543, 13786, 4850, 4940, 594, 3494, 891, 1983, 543, 1995, 723, 5423, 803, 547, 3565, 547, 707, 2319, 3927, 780, 11101, 267, 594, 723, 513, 25328, 781, 4110, 538, 1496, 293, 1752, 540, 5530, 3910, 513, 631, 10640, 763, 1650, 1058, 11200, 998, 519, 3197, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 269, 634, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 5149, 476, 275, 281, 22985, 2920, 13659, 543, 4317, 28073, 910, 4498, 1145, 532, 519, 5295, 540, 9293, 585, 7827, 692, 7072, 912, 1103, 713, 1770, 267, 649, 5490, 883, 519, 1158, 540, 14447, 17933, 543, 1514, 5322, 1369, 519, 2796, 540, 14298, 18426, 13316, 1315, 11806, 266, 5525, 1315, 22985, 5525, 269, 3414, 3695, 3140, 19325, 267, 9565, 5515, 267, 543, 5339, 2553, 267, 596, 3513, 1451, 875, 1913, 723, 1044, 15747, 538, 5935, 519, 2729, 543, 2924, 540, 4638, 18441, 269, 1635, 8220, 891, 4245, 547, 4207, 2152, 543, 5322, 267, 596, 666, 1831, 606, 8665, 540, 1689, 676, 29937, 532, 707, 1378, 4050, 3927, 780, 4089, 476, 272, 281, 8466, 12745, 540, 22985, 2920, 13659, 543, 9085, 454, 18439, 519, 5072, 540, 2413, 14447, 17933, 543, 922, 2078, 609, 3332, 2429, 1686, 269, 13760, 875, 25761, 5931, 899, 32240, 18724, 2006, 781, 27817, 540, 23420, 543, 30546, 8187, 324, 781, 1546, 4515, 1495, 529, 8329, 547, 2038, 5717, 827, 32270, 543, 21490, 519, 1259, 585, 811, 8763, 2797, 12180, 269, 25826, 14758, 8153, 4773, 602, 941, 2629, 547, 22297, 3646, 267, 1519, 4789, 781, 16423, 754, 523, 7797, 543, 3013, 781, 20917, 22389, 5623, 780, 4089, 476, 273, 281, 6206, 22955, 538, 22985, 2920, 13659, 543, 16520, 27505, 619, 454, 22860, 2763, 7986, 2043, 945, 2269, 9536, 1194, 1312, 10600, 1765, 716, 643, 1235, 945, 1031, 1603, 607, 513, 1907, 585, 14223, 543, 5159, 4171, 13144, 17275, 6848, 10593, 269, 5548, 557, 883, 519, 2729, 540, 6276, 25930, 7773, 267, 10748, 516, 7083, 324, 267, 543, 14639, 8291, 12736, 1562, 517, 1247, 6313, 741, 1713, 7418, 547, 1312, 20210, 3069, 543, 3332, 269, 13028, 26173, 9739, 971, 607, 9370, 3873, 623, 269, 9652, 267, 31506, 16129, 5211, 320, 267, 543, 26573, 8065, 267, 4171, 18531, 543, 11042, 6039, 607, 27857, 585, 29065, 4254, 16478, 780, 4089, 476, 274, 281, 14958, 532, 3281, 2454, 15881, 2510, 1107, 9828, 543, 11150, 454, 22913, 1585, 9423, 4485, 6964, 676, 3811, 4589, 543, 15628, 7567, 269, 5530, 1915, 1646, 267, 6429, 1606, 23293, 267, 543, 10855, 1893, 602, 3826, 1127, 1272, 883, 2984, 1419, 2124, 326, 730, 547, 20224, 269, 6258, 827, 17720, 3457, 899, 2619, 657, 267, 31672, 267, 543, 27291, 282, 1174, 875, 789, 18427, 4664, 267, 3715, 17258, 267, 543, 22321, 9458, 269, 6657, 7311, 891, 2409, 547, 1711, 3532, 6386, 5827, 540, 5807, 6568, 543, 11121, 2962, 1851, 3988, 780, 4089, 476, 275, 281, 16792, 7869, 547, 16217, 343, 529, 1107, 4635, 2659, 20429, 6356, 1947, 454, 9558, 819, 689, 7811, 1702, 547, 4052, 3498, 269, 10576, 2127, 1141, 10616, 2291, 538, 6041, 543, 2232, 873, 998, 2854, 4082, 269, 15331, 609, 1114, 23447, 630, 612, 904, 267, 1566, 268, 2644, 267, 2110, 2984, 267, 6965, 264, 547, 6655, 6835, 3358, 547, 3309, 9458, 269, 3763, 2994, 585, 10188, 1761, 1394, 31988, 543, 4509, 6043, 950, 21947, 609, 4187, 780, 4089, 476, 276, 281, 7351, 12367, 543, 8892, 19648, 454, 8777, 720, 609, 5969, 12967, 7835, 538, 14447, 17933, 543, 3332, 269, 31385, 28963, 1063, 5198, 267, 4008, 3961, 267, 4984, 267, 2702, 267, 543, 14227, 4567, 1369, 20210, 2950, 269, 6333, 6932, 11964, 899, 23019, 5708, 543, 17728, 607, 6472, 585, 7586, 4328, 12790, 5380, 269, 10812, 5499, 5867, 630, 25791, 2923, 267, 1990, 1149, 267, 27143, 264, 602, 24339, 520, 1125, 1569, 547, 1344, 23425, 543, 6536, 5188, 1472, 1950, 3584, 780, 6962, 912, 3528, 9284, 532, 3054, 538, 519, 3638, 13795, 540, 14447, 17933, 543, 5339, 5389, 267, 596, 2744, 3407, 4030, 883, 519, 1379, 540, 1913, 547, 1198, 10663, 6209, 1689, 269, 1306, 596, 3136, 28798, 707, 4739, 267, 3314, 602, 1169, 4062, 540, 1603, 8309, 547, 6626, 2686, 7391, 4478, 11806, 266, 9163, 543, 2833, 269, 22737, 707, 1909, 607, 513, 17082, 267, 12167, 267, 543, 24343, 11652, 4585, 607, 707, 5639, 2337, 3337, 519, 2104, 540, 14447, 17933, 543, 1514, 5322, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21893, 1576, 786, 948, 1053, 1020, 606, 1620, 540, 11300, 5675, 998, 2565, 2542, 267, 519, 26004, 1184, 267, 543, 1362, 11925, 269, 30633, 532, 543, 2847, 2358, 786, 581, 513, 2101, 5057, 540, 938, 3860, 960, 269, 1284, 786, 1224, 543, 5659, 2442, 1568, 540, 15923, 267, 5708, 267, 543, 6965, 609, 1808, 3007, 547, 4739, 2609, 267, 971, 607, 4259, 267, 3197, 267, 1448, 540, 2070, 267, 13513, 267, 6609, 267, 543, 3159, 269, 634, 1576, 786, 1445, 593, 2870, 3312, 1568, 267, 13186, 4771, 9263, 12591, 267, 543, 4974, 3370, 3332, 269, 2667, 11220, 1362, 13220, 786, 1683, 6667, 585, 2875, 960, 543, 3255, 547, 24917, 10763, 1983, 269, 4147, 2238, 1331, 2542, 4901, 267, 2228, 2238, 998, 2052, 11663, 267, 3059, 1382, 267, 543, 20343, 693, 3860, 2542, 2621, 269, 901, 17440, 786, 5965, 1053, 547, 2328, 513, 2123, 1557, 267, 513, 960, 540, 5708, 267, 543, 513, 3126, 540, 9954, 269, 4841, 616, 9415, 547, 2259, 9306, 741, 960, 693, 1857, 13220, 267, 2263, 2009, 28503, 585, 8313, 267, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 294, 599, 2920, 13659, 543, 4317, 28073, 257, 607, 851, 540, 834, 24719, 13316, 1315, 11806, 266, 5525, 1315, 22985, 5525, 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, 8702, 547, 938, 1576, 782, 827, 2564, 21594, 543, 16166, 256, 901, 1522, 3100, 899, 513, 7168, 1808, 630, 663, 6148, 1256, 19309, 264, 1888, 693, 1101, 267, 855, 3972, 721, 910, 621, 781, 1259, 811, 4277, 982, 596, 1589, 269, 9578, 267, 1620, 2564, 1913, 666, 948, 596, 1745, 811, 8746, 952, 596, 2479, 991, 547, 3643, 519, 4387, 610, 2911, 827, 1072, 2152, 269, 1924, 1577, 781, 4685, 1318, 538, 2439, 5575, 540, 782, 267, 723, 596, 2479, 4862, 2576, 946, 513, 2731, 2462, 2262, 602, 596, 4769, 1405, 1174, 286, 9320, 789, 941, 6158, 827, 513, 834, 3012, 5448, 257, 610, 513, 834, 325, 847, 675, 1701, 8409, 616, 1312, 2564, 2474, 602, 4766, 7063, 269, 589, 22104, 5448, 568, 950, 1973, 25173, 3544, 540, 513, 1973, 6077, 267, 4929, 20015, 2358, 267, 1247, 513, 17795, 568, 1175, 1776, 2262, 585, 513, 7745, 5642, 780, 3086, 4952, 3843, 547, 1451, 827, 1346, 7063, 630, 528, 1022, 824, 2564, 2783, 14386, 1510, 6616, 1018, 519, 1913, 1611, 269, 2334, 1131, 581, 2706, 14845, 267, 1318, 286, 2334, 781, 1141, 2564, 21594, 2097, 538, 13561, 269, 1358, 2811, 10416, 2835, 610, 8924, 602, 2270, 8847, 585, 6266, 540, 1114, 2564, 2474, 269, 2368, 2564, 21594, 616, 5458, 267, 5627, 5215, 540, 13366, 267, 1247, 1866, 616, 4130, 543, 1152, 3382, 1978, 3584, 780, 3080, 3579, 3364, 827, 2564, 21594, 568, 602, 1082, 540, 873, 849, 2491, 1141, 2564, 1913, 2097, 689, 269, 1280, 1383, 267, 1705, 596, 917, 602, 519, 2262, 834, 6572, 1460, 257, 2501, 689, 519, 5824, 2262, 585, 834, 611, 1288, 22172, 2334, 2306, 2631, 267, 2094, 707, 30569, 568, 2186, 540, 899, 513, 2370, 3063, 851, 540, 707, 9667, 1062, 269, 6271, 1383, 568, 519, 2165, 834, 27971, 650, 4345, 2437, 799, 568, 6553, 540, 519, 9748, 2812, 269, 634, 2262, 834, 27971, 559, 257, 2501, 689, 519, 5824, 2262, 585, 834, 1873, 2454, 1701, 6423, 875, 602, 1568, 2496, 5194, 1826, 540, 2564, 1893, 596, 1522, 5873, 616, 834, 788, 11618, 1701, 1323, 3134, 7716, 568, 513, 2012, 602, 781, 1759, 593, 513, 1268, 269, 769, 4915, 267, 606, 3134, 7716, 568, 1419, 1031, 547, 4766, 513, 2068, 267, 6794, 267, 610, 5650, 602, 729, 4362, 610, 11827, 676, 2576, 269, 1280, 3236, 267, 19576, 781, 2068, 568, 3957, 1310, 6276, 19576, 267, 945, 4330, 519, 2589, 538, 1469, 1394, 538, 476, 8687, 278, 269, 6684, 267, 25425, 2068, 4991, 922, 2012, 689, 6196, 25425, 267, 21086, 267, 1141, 1896, 2665, 540, 519, 4576, 941, 4080, 538, 519, 3735, 476, 3192, 271, 338, 780, 8170, 1576, 267, 972, 616, 7366, 540, 2564, 3134, 11618, 856, 972, 267, 865, 649, 4465, 1405, 979, 998, 782, 540, 873, 1934, 269, 1809, 23248, 267, 713, 3947, 596, 606, 2856, 540, 1946, 789, 2811, 1271, 269, 1635, 1565, 891, 4408, 267, 7189, 543, 3744, 666, 5968, 3533, 543, 7561, 827, 1950, 2564, 2035, 269, 1656, 607, 513, 22429, 267, 930, 2564, 3134, 11618, 616, 2965, 2731, 1187, 547, 2161, 256, 8347, 15749, 1424, 834, 295, 698, 331, 1495, 781, 22775, 640, 257, 610, 834, 2704, 1636, 6794, 257, 856, 10978, 269, 30474, 3579, 267, 26001, 2496, 3383, 1631, 602, 596, 917, 513, 3787, 811, 827, 2564, 21594, 543, 3134, 11618, 267, 1577, 781, 16833, 1919, 909, 269, 5457, 267, 1985, 942, 596, 7237, 513, 9490, 2564, 2165, 267, 1810, 1405, 11784, 256, 3807, 10544, 513, 8675, 610, 1413, 621, 909, 2228, 267, 543, 4166, 2614, 267, 596, 3513, 581, 6340, 899, 513, 605, 269, 5808, 6487, 267, 6148, 835, 1554, 596, 3513, 1256, 3605, 513, 1007, 2564, 1523, 3054, 910, 543, 1205, 547, 2012, 621, 1310, 3054, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 21357, 8675, 22356, 568, 2966, 585, 2564, 1053, 267, 4543, 873, 538, 741, 2090, 269, 8281, 713, 813, 689, 2890, 7809, 4558, 585, 9486, 476, 1015, 267, 9486, 476, 1015, 5985, 267, 9486, 6049, 476, 279, 269, 6481, 8675, 22356, 568, 585, 2564, 9439, 543, 1053, 547, 1413, 909, 519, 8847, 543, 2930, 2474, 538, 513, 2034, 269, 2991, 938, 4693, 543, 1449, 267, 519, 3301, 568, 9863, 547, 581, 4013, 267, 5150, 543, 1863, 269, 8281, 519, 5767, 4528, 540, 2228, 8675, 1863, 538, 269, 10228, 2564, 8675, 585, 543, 5514, 1863, 4647, 543, 3301, 269, 8281, 11344, 620, 342, 2378, 328, 6037, 1807, 7005, 541, 629, 545, 8675, 563, 300, 657, 321, 903, 2564, 8675, 476, 280, 628, 7160, 19545, 7824, 1863, 4647, 269, 5131, 2564, 8675, 1281, 4010, 1018, 596, 323, 2503, 269, 18391, 585, 2228, 4214, 540, 4647, 610, 1018, 4647, 6763, 585, 269, 898, 2934, 936, 476, 6321, 267, 1822, 22265, 8847, 267, 2656, 563, 12606, 1863, 8675, 585, 543, 5514, 267, 1775, 657, 267, 476, 13023, 821, 267, 28258, 611, 267, 28258, 617, 269, 5131, 2564, 8675, 1863, 4647, 9486, 4528, 269, 2296, 22356, 8675, 7005, 22356, 519, 28445, 609, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 631, 19075, 1315, 667, 17152, 1299, 12910, 11659, 1315, 9210, 11618, 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 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 634, 9119, 540, 14716, 10049, 13281, 692, 17746, 2315, 2326, 4152, 568, 513, 2565, 2460, 540, 4180, 519, 7293, 8699, 543, 3106, 540, 5656, 543, 5989, 3785, 269, 634, 6128, 3238, 538, 2326, 4152, 1404, 513, 4909, 1909, 538, 8159, 3601, 971, 607, 4222, 267, 15006, 267, 543, 29839, 585, 1585, 3156, 269, 769, 713, 2376, 267, 649, 5490, 883, 519, 6310, 3741, 543, 12596, 602, 20690, 4070, 2326, 4152, 780, 1012, 476, 272, 269, 13262, 543, 853, 1778, 5811, 692, 29590, 543, 8833, 2079, 568, 513, 22294, 540, 2326, 4152, 269, 13262, 4016, 547, 519, 4835, 4187, 540, 513, 1570, 547, 22636, 267, 1247, 8833, 3800, 519, 6708, 540, 22636, 896, 4294, 2566, 269, 634, 2566, 3613, 1778, 2078, 2337, 8030, 1174, 513, 1570, 781, 2623, 543, 922, 2702, 547, 16641, 13907, 780, 763, 4542, 585, 12719, 2566, 568, 1384, 29590, 630, 17385, 264, 815, 10414, 630, 293, 264, 1315, 9351, 630, 288, 2020, 8489, 1384, 1892, 10414, 630, 293, 264, 568, 519, 4294, 3196, 454, 1892, 9351, 630, 288, 264, 568, 519, 3444, 22891, 1858, 540, 519, 1570, 692, 1805, 1778, 568, 7229, 1210, 519, 4542, 1384, 1805, 1778, 630, 15770, 264, 815, 7827, 538, 20099, 630, 24941, 299, 264, 1315, 22731, 20099, 630, 299, 2020, 8489, 1384, 1892, 7827, 538, 20099, 630, 24941, 299, 264, 568, 519, 3017, 1063, 519, 632, 11526, 3259, 543, 519, 3312, 3259, 454, 1892, 22731, 20099, 630, 299, 264, 568, 519, 3355, 3259, 540, 519, 1570, 692, 3528, 28321, 2566, 1996, 8833, 267, 8030, 666, 3313, 3601, 971, 607, 519, 6556, 1448, 267, 10700, 4222, 267, 543, 29870, 540, 22786, 585, 1114, 2326, 780, 1012, 476, 273, 269, 3281, 1833, 543, 570, 3290, 13281, 692, 15253, 1833, 543, 8082, 4152, 616, 1455, 2409, 1031, 547, 2708, 513, 1570, 781, 4222, 896, 1114, 15205, 2175, 269, 1452, 4255, 4125, 1641, 532, 513, 1570, 547, 735, 4809, 610, 28995, 4229, 1247, 7893, 922, 22636, 543, 3210, 780, 1103, 13496, 4152, 267, 519, 735, 4809, 2566, 568, 7229, 1210, 1384, 15253, 4809, 13262, 815, 10414, 630, 293, 264, 1315, 9351, 630, 288, 2020, 307, 3290, 4152, 3322, 12719, 519, 28995, 2566, 1210, 513, 2147, 4542, 1384, 307, 839, 850, 13262, 815, 10414, 630, 293, 264, 1315, 9351, 630, 288, 2020, 13828, 4255, 1683, 3407, 4030, 883, 513, 1570, 781, 2623, 543, 7344, 3601, 267, 4543, 8030, 1118, 5483, 3664, 827, 922, 32636, 538, 4070, 3785, 780, 1012, 476, 274, 269, 645, 2056, 543, 21253, 1116, 23848, 692, 289, 2056, 4255, 6218, 513, 1570, 781, 2702, 547, 5706, 19755, 4229, 267, 1138, 6819, 2175, 899, 1346, 4810, 676, 20832, 543, 7293, 2609, 269, 634, 4827, 1116, 4222, 267, 849, 1634, 607, 519, 29870, 540, 28230, 267, 3800, 513, 1570, 781, 4187, 547, 19755, 780, 763, 4542, 585, 12719, 4827, 1116, 4222, 568, 1384, 293, 2716, 1116, 23848, 630, 17385, 264, 815, 476, 274, 6398, 20509, 630, 303, 264, 6398, 20099, 630, 299, 264, 1315, 630, 273, 6398, 654, 5954, 630, 310, 264, 6398, 774, 32169, 630, 307, 8203, 273, 2020, 8489, 1384, 1892, 20099, 630, 299, 264, 568, 519, 12732, 3259, 454, 1892, 654, 5954, 630, 310, 264, 568, 519, 8700, 540, 519, 19494, 454, 1892, 774, 32169, 630, 307, 264, 568, 519, 11098, 540, 519, 19494, 692, 1012, 476, 275, 269, 2701, 541, 543, 2701, 541, 23848, 692, 9515, 541, 4255, 6218, 513, 1570, 781, 2702, 547, 16641, 4229, 4294, 6252, 547, 922, 2627, 269, 2701, 541, 4222, 568, 513, 2565, 3959, 585, 2326, 1031, 538, 3889, 1641, 547, 14694, 13907, 267, 971, 607, 20832, 543, 9587, 269, 2701, 541, 4255, 4125, 12719, 519, 19852, 2566, 1384, 9515, 541, 13262, 630, 16483, 264, 815, 10414, 630, 293, 264, 1315, 9351, 630, 288, 2020, 8489, 1384, 1892, 10414, 630, 293, 264, 568, 519, 4294, 19852, 3196, 454, 1892, 9351, 630, 288, 264, 568, 519, 1858, 16271, 547, 19852, 692, 1012, 476, 276, 269, 10434, 1145, 13281, 692, 26773, 1145, 4152, 2708, 525, 513, 1570, 781, 4187, 547, 25034, 566, 610, 22636, 269, 15316, 21052, 4152, 2409, 267, 971, 607, 9412, 6202, 267, 5696, 514, 749, 267, 543, 966, 1157, 619, 4255, 267, 2268, 519, 1570, 781, 2702, 547, 16641, 21774, 676, 513, 13387, 967, 10938, 269, 634, 2164, 1683, 1344, 827, 519, 1570, 781, 4222, 543, 5957, 4187, 780, 10376, 21052, 4152, 1505, 3096, 513, 2189, 4542, 547, 5173, 21052, 2418, 267, 2921, 883, 2272, 519, 4294, 4452, 543, 519, 2450, 540, 519, 25034, 566, 780, 1012, 476, 277, 269, 3525, 15252, 540, 4432, 2880, 640, 543, 7313, 24480, 781, 22472, 692, 763, 29870, 540, 22786, 267, 849, 1634, 607, 8479, 781, 29870, 267, 3067, 5809, 513, 1570, 781, 20765, 543, 922, 2702, 547, 22775, 896, 2566, 269, 7313, 24480, 781, 5223, 6257, 875, 513, 1570, 2242, 538, 4320, 950, 16271, 547, 513, 796, 807, 343, 658, 2566, 780, 763, 4542, 585, 12719, 519, 29870, 540, 22786, 568, 1384, 9556, 15252, 540, 4432, 2880, 640, 630, 292, 264, 815, 13262, 630, 17385, 264, 1315, 853, 1778, 630, 15770, 2020, 22437, 24480, 781, 5223, 630, 14832, 264, 568, 7229, 1210, 519, 4542, 1384, 22437, 24480, 781, 22472, 630, 14832, 264, 815, 700, 8632, 853, 1778, 1315, 7043, 15994, 853, 1778, 692, 1012, 476, 278, 269, 4826, 4211, 324, 618, 22472, 543, 22493, 23848, 692, 1103, 6405, 4152, 267, 519, 1216, 268, 576, 618, 5223, 3648, 5540, 519, 1570, 781, 4222, 543, 15006, 269, 634, 1216, 268, 576, 618, 5223, 568, 7229, 1210, 519, 4542, 1384, 12850, 4211, 324, 618, 22472, 815, 13379, 540, 4826, 1315, 13379, 540, 24533, 692, 3519, 4740, 4222, 568, 6766, 676, 1585, 2188, 267, 1519, 27955, 2175, 267, 27960, 267, 543, 8098, 4869, 999, 269, 634, 735, 4809, 4222, 540, 6405, 568, 7229, 1210, 519, 4542, 1384, 15253, 4809, 23848, 815, 20509, 693, 23299, 1315, 9061, 268, 4089, 531, 9351, 692, 1012, 476, 279, 269, 6348, 5937, 652, 10614, 13281, 692, 15239, 1673, 652, 10614, 4152, 2409, 267, 971, 607, 24318, 21319, 4152, 543, 10237, 4919, 4152, 267, 2708, 1570, 3601, 1510, 4929, 3441, 269, 8299, 337, 21319, 4152, 3800, 519, 942, 3144, 676, 3280, 6329, 547, 2951, 998, 513, 1570, 267, 3246, 1344, 827, 11098, 543, 20924, 269, 30521, 4919, 4152, 3096, 2473, 17530, 547, 3713, 4835, 12889, 780, 4322, 2409, 4125, 1950, 6310, 9273, 543, 12496, 547, 3313, 1570, 3601, 8308, 780, 1012, 476, 280, 269, 10390, 692, 763, 6128, 540, 4070, 2326, 4152, 1106, 519, 5748, 540, 4702, 3664, 538, 519, 4070, 2872, 269, 1635, 1620, 543, 7311, 519, 6310, 3741, 5941, 538, 713, 2376, 267, 8030, 543, 3173, 666, 2708, 519, 2623, 267, 4222, 267, 543, 15006, 540, 2326, 267, 4180, 519, 3106, 543, 15325, 540, 3710, 3889, 780, 5804, 2566, 543, 8833, 2079, 547, 21052, 4152, 543, 6405, 4222, 9273, 267, 6128, 4249, 513, 11358, 1909, 538, 2326, 4152, 267, 7175, 5483, 1374, 267, 2298, 1852, 267, 543, 519, 13120, 540, 4070, 2029, 269, 0, 26473, 652, 513, 1289, 1394, 692, 8340, 519, 2138, 1308, 900, 325, 538, 513, 6806, 8520, 13235, 291, 269, 8382, 2501, 856, 547, 581, 476, 273, 305, 29669, 269, 594, 723, 1079, 22027, 769, 621, 781, 1523, 269, 476, 272, 264, 1934, 1946, 649, 616, 12719, 519, 900, 325, 676, 8840, 519, 8520, 883, 1079, 30556, 3079, 540, 6236, 2500, 3259, 547, 581, 476, 271, 2094, 621, 568, 513, 6806, 8520, 286, 476, 273, 264, 538, 519, 476, 273, 526, 4137, 7923, 2630, 2243, 4137, 649, 616, 6031, 602, 900, 325, 13251, 538, 476, 273, 526, 8520, 568, 476, 271, 2094, 13441, 998, 621, 568, 3586, 269, 4208, 649, 616, 711, 6236, 713, 2013, 538, 713, 2243, 269, 594, 7662, 596, 547, 2626, 1250, 891, 476, 273, 22027, 538, 1469, 267, 865, 602, 1250, 1523, 3587, 2312, 454, 16485, 539, 676, 887, 327, 527, 1090, 534, 9340, 276, 1923, 476, 1428, 3057, 267, 476, 1708, 272, 267, 476, 5400, 281, 3066, 281, 6751, 454, 15290, 513, 8520, 1500, 540, 10647, 5911, 568, 6410, 538, 513, 3148, 540, 6419, 2361, 2073, 649, 1205, 13251, 15444, 293, 661, 538, 519, 8520, 454, 3147, 1800, 547, 10787, 611, 599, 781, 1876, 540, 15632, 607, 4330, 676, 519, 1739, 3830, 780, 292, 815, 910, 323, 394, 355, 7933, 339, 1741, 476, 9982, 27401, 1862, 263, 272, 2020, 8489, 3852, 355, 568, 13441, 540, 6419, 2361, 8429, 998, 1858, 589, 540, 8520, 865, 602, 1109, 3852, 355, 815, 630, 645, 1109, 9943, 589, 3738, 952, 645, 568, 13441, 5860, 540, 6419, 2361, 780, 13420, 566, 630, 272, 264, 2829, 602, 9588, 540, 13251, 15444, 293, 568, 2047, 14354, 547, 2557, 540, 1689, 540, 13441, 540, 6419, 2361, 454, 10139, 532, 998, 1858, 540, 8520, 780, 2252, 13441, 540, 6419, 2361, 1109, 4679, 2073, 1287, 13251, 15444, 293, 568, 2942, 16317, 2252, 13441, 540, 6419, 2361, 1109, 11081, 2073, 1287, 13251, 15444, 293, 568, 27082, 557, 16317, 2252, 513, 9764, 8520, 540, 10647, 5911, 679, 564, 3464, 610, 608, 1080, 538, 513, 7833, 6419, 2361, 3148, 31377, 6533, 13251, 15444, 293, 538, 519, 8520, 568, 5462, 607, 5205, 692, 9982, 263, 273, 994, 17798, 538, 7833, 6419, 2361, 2073, 13251, 15444, 293, 568, 2047, 14354, 547, 2557, 540, 1689, 540, 1858, 602, 454, 1478, 331, 2355, 609, 13441, 540, 6419, 2361, 780, 2690, 513, 9764, 8520, 2073, 9819, 540, 2557, 540, 1689, 540, 1858, 20718, 13441, 540, 6419, 2361, 568, 1360, 2352, 563, 7712, 13251, 15444, 293, 5673, 1152, 593, 1858, 543, 568, 967, 788, 2989, 550, 540, 3259, 540, 5911, 2073, 9764, 8520, 568, 1226, 730, 547, 454, 320, 4009, 8520, 602, 814, 1482, 1858, 540, 9764, 8520, 1547, 634, 2427, 540, 6697, 4009, 8520, 568, 7229, 607, 5205, 692, 320, 273, 815, 12631, 681, 273, 1741, 610, 1741, 513, 815, 630, 20734, 11027, 3738, 681, 692, 763, 1184, 540, 3478, 13251, 15444, 293, 267, 950, 513, 4009, 8520, 568, 6410, 538, 7833, 6419, 2361, 568, 4330, 2630, 692, 2691, 4009, 8520, 13788, 538, 6419, 2361, 3148, 2073, 607, 3254, 538, 1657, 4137, 2073, 851, 540, 1858, 540, 8520, 602, 454, 523, 743, 4680, 519, 13441, 540, 6419, 2361, 4679, 269, 9747, 607, 829, 552, 336, 333, 15301, 273, 264, 2073, 2942, 15444, 293, 568, 13251, 538, 4009, 8520, 4586, 20118, 267, 950, 4009, 8520, 608, 1080, 856, 540, 1109, 6419, 2361, 3148, 2073, 1109, 851, 540, 1858, 540, 8520, 602, 11700, 4680, 519, 13441, 540, 454, 332, 8568, 2361, 11081, 269, 9747, 693, 519, 942, 540, 14827, 267, 2318, 15444, 293, 568, 13251, 538, 4009, 8520, 780, 2691, 519, 4009, 8520, 568, 4628, 3330, 519, 6419, 2361, 267, 972, 568, 1100, 1689, 538, 6419, 13441, 543, 8754, 13251, 15444, 293, 568, 4642, 780, 300, 1725, 3363, 540, 13251, 15444, 293, 568, 7229, 607, 5205, 692, 933, 1205, 689, 552, 336, 333, 269, 630, 273, 264, 1109, 2073, 1109, 661, 815, 1109, 645, 6398, 630, 323, 288, 7933, 339, 264, 1109, 815, 645, 6398, 513, 6398, 13005, 7933, 339, 1109, 815, 1109, 289, 6398, 513, 6398, 642, 692, 3602, 642, 568, 3432, 540, 8520, 3350, 16317, 5785, 5785, 7042, 263, 272, 264, 634, 8520, 568, 711, 7745, 883, 1079, 30556, 547, 1205, 13251, 15444, 293, 269, 1109, 1306, 3254, 538, 4137, 2073, 950, 8520, 13788, 692, 332, 8568, 2361, 3148, 267, 13441, 5860, 540, 6419, 2361, 4679, 609, 2463, 547, 942, 543, 602, 28901, 2942, 15444, 293, 16317, 20118, 950, 519, 8520, 608, 1080, 6419, 2361, 3148, 2073, 13441, 5860, 11081, 543, 649, 1205, 2318, 15444, 293, 16317, 21920, 540, 8520, 1281, 711, 1404, 1022, 1909, 547, 1205, 13251, 15444, 293, 1152, 1858, 540, 8520, 6927, 780, 263, 273, 264, 1879, 519, 8520, 568, 4625, 3330, 6419, 2361, 3148, 267, 3350, 540, 8520, 1281, 711, 1711, 1689, 538, 6419, 13441, 780, 17798, 267, 952, 972, 568, 1100, 1689, 538, 6419, 13441, 2073, 1287, 1100, 13251, 15444, 293, 4586, 1607, 568, 1360, 1454, 2808, 1247, 30228, 519, 13251, 15444, 293, 1813, 547, 3350, 540, 8520, 1500, 540, 10647, 5911, 454, 514, 6419, 2361, 269, 8641, 540, 13251, 15444, 293, 3254, 538, 4137, 6920, 602, 13251, 15444, 293, 568, 4642, 267, 950, 519, 8520, 568, 3001, 454, 1231, 728, 7833, 6419, 2361, 3148, 780, 9172, 26833, 676, 774, 12011, 26196, 1690, 534, 918, 1923, 476, 1626, 3057, 267, 476, 1708, 272, 267, 476, 1556, 281, 4029, 281, 7537, 692, 1012, 10417, 27678, 692, 20911, 4953, 683 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 729, 513, 1762, 16027, 945, 1185, 5063, 15110, 1200, 22516, 781, 2244, 267, 543, 1352, 3576, 1390, 11348, 538, 14637, 519, 7031, 602, 1131, 2844, 1200, 2146, 269, 1809, 2221, 267, 1945, 8604, 1055, 269, 6736, 1200, 1655, 3646, 267, 4986, 8604, 547, 1332, 538, 713, 1880, 15429, 540, 3618, 780, 2026, 1352, 11432, 1229, 519, 1966, 267, 606, 14542, 5639, 13264, 998, 519, 16563, 269, 834, 16352, 8373, 12482, 27880, 6743, 909, 547, 1294, 606, 2025, 812, 7555, 1354, 1200, 267, 10709, 532, 8185, 593, 513, 28594, 541, 1194, 11308, 5234, 269, 1261, 20595, 512, 13593, 9660, 543, 513, 10599, 1229, 11058, 15504, 1970, 936, 1010, 4064, 267, 855, 972, 729, 513, 1000, 30257, 538, 1010, 22401, 602, 6700, 646, 6785, 811, 982, 646, 1577, 593, 780, 257, 8005, 616, 596, 8119, 8861, 4280, 2112, 1176, 780, 257, 9617, 1289, 803, 6196, 3752, 2437, 519, 24928, 14452, 269, 834, 4517, 594, 1522, 581, 2111, 547, 948, 596, 856, 3010, 3891, 695, 4428, 1194, 6251, 267, 2695, 520, 1154, 1524, 22290, 8861, 547, 4983, 519, 3046, 1066, 3037, 269, 2991, 513, 4090, 267, 646, 695, 809, 1010, 2212, 8909, 569, 269, 834, 2791, 4312, 3893, 3054, 930, 1483, 13542, 1934, 267, 4413, 344, 269, 901, 513, 514, 1405, 1100, 8723, 13897, 1107, 621, 781, 1044, 17400, 539, 676, 519, 10971, 2933, 15323, 27880, 6659, 606, 32071, 992, 269, 834, 290, 2720, 539, 12482, 24874, 3752, 21330, 18205, 569, 269, 834, 8133, 8197, 269, 7982, 950, 707, 6264, 11985, 1101, 3323, 11489, 514, 262, 891, 4610, 267, 646, 25653, 909, 1474, 996, 514, 262, 646, 12582, 1405, 723, 910, 606, 3504, 31074, 12617, 2620, 9944, 519, 2666, 269, 898, 606, 13499, 519, 14326, 267, 543, 1631, 789, 4465, 1405, 1577, 4376, 1332, 1934, 3010, 2690, 513, 4090, 267, 8861, 2808, 14962, 532, 519, 2025, 812, 781, 1913, 607, 6071, 22530, 819, 269, 1809, 1287, 1586, 267, 1352, 7948, 1405, 20912, 519, 2963, 1318, 538, 4395, 540, 1200, 269, 1403, 972, 2731, 729, 513, 31169, 593, 713, 2244, 267, 1352, 2877, 547, 1265, 513, 1259, 547, 2736, 621, 780, 21982, 513, 2620, 7362, 267, 1352, 5828, 547, 3068, 6196, 3752, 269, 834, 1432, 798, 649, 991, 547, 798, 12482, 288, 3500, 12837, 3262, 2066, 519, 2025, 812, 781, 649, 9312, 2934, 269, 834, 25105, 267, 594, 6785, 596, 941, 519, 1318, 1268, 585, 713, 2816, 269, 1548, 649, 991, 568, 513, 2370, 3787, 540, 1142, 1826, 540, 3037, 689, 1472, 519, 11782, 1107, 9995, 344, 14606, 267, 22110, 14606, 267, 10753, 600, 14606, 267, 1256, 17667, 14606, 952, 596, 666, 1265, 1022, 3010, 27880, 1025, 22075, 538, 9983, 269, 834, 6546, 781, 782, 12482, 257, 11039, 29389, 6196, 3752, 11688, 18469, 269, 834, 2467, 1522, 581, 835, 824, 3364, 269, 1411, 1294, 267, 891, 11934, 5749, 1405, 1175, 5820, 1107, 789, 2099, 1114, 3344, 540, 1272, 3294, 269, 3962, 835, 814, 922, 1378, 9342, 543, 12755, 267, 543, 952, 649, 1616, 547, 2736, 519, 31169, 267, 649, 3513, 723, 547, 1451, 875, 547, 3666, 873, 3010, 7021, 519, 1985, 1906, 2395, 267, 8861, 14612, 2484, 543, 2647, 267, 11018, 5439, 540, 1169, 2186, 540, 3037, 1352, 1223, 1265, 269, 13966, 519, 1259, 267, 1352, 1558, 1004, 689, 782, 15211, 540, 1272, 1107, 6705, 10010, 1996, 10980, 267, 4070, 4600, 2679, 1007, 5321, 593, 556, 13094, 2244, 267, 3744, 4974, 519, 13655, 540, 519, 2067, 1158, 269, 1656, 7444, 855, 15983, 267, 1352, 3459, 547, 1174, 1018, 6196, 3752, 5921, 827, 4466, 3666, 780, 2691, 1352, 8120, 547, 1200, 3484, 267, 1352, 6404, 519, 11934, 1927, 2687, 547, 519, 2025, 812, 781, 5528, 267, 2870, 513, 3638, 267, 4158, 6219, 602, 24421, 539, 609, 1648, 269, 1306, 1352, 23953, 621, 5196, 519, 17400, 539, 3618, 267, 1352, 5433, 513, 10006, 540, 1379, 1330, 28410, 998, 1200, 15532, 1107, 513, 4276, 711, 1152, 547, 519, 2244, 855, 849, 547, 519, 9118, 2729, 602, 31030, 593, 621, 780, 4263, 2063, 267, 519, 31169, 729, 7745, 269, 15867, 1186, 17708, 1540, 2899, 811, 267, 11423, 519, 4610, 609, 7524, 4778, 543, 18932, 2208, 269, 1656, 1498, 8861, 6785, 1352, 1869, 1185, 1454, 547, 1451, 827, 8105, 630, 663, 1272, 1070, 1352, 5185, 1142, 4161, 609, 17105, 8990, 267, 11461, 676, 519, 7326, 1352, 1185, 6591, 1282, 1200, 3460, 780, 3719, 1034, 11932, 267, 1352, 2760, 29709, 519, 3992, 6196, 3752, 1185, 6026, 1200, 281, 2334, 3006, 267, 519, 1883, 547, 6061, 938, 2042, 6013, 711, 538, 7947, 532, 519, 1919, 602, 1118, 721, 1114, 267, 855, 2864, 8508, 873, 1107, 1565, 875, 547, 3666, 938, 9342, 543, 12755, 2394, 649, 1711, 1945, 5963, 9058, 269, 0, 2237, 513, 8903, 1650, 1644, 547, 519, 1739, 1257, 6256, 912, 29205, 596, 4766, 519, 1114, 2010, 540, 3037, 1336, 538, 3345, 3013, 888, 296, 1810, 1405, 723, 2123, 2833, 610, 11994, 269, 2705, 267, 1775, 666, 1683, 596, 609, 2489, 1344, 593, 519, 2010, 540, 3037, 1336, 538, 5087, 13314, 780, 11004, 616, 1896, 2010, 540, 3037, 1336, 538, 5087, 13314, 267, 543, 789, 616, 9286, 1759, 593, 741, 2168, 543, 3114, 3601, 269, 1934, 616, 513, 1906, 1455, 2010, 1384, 272, 269, 22501, 3037, 281, 22501, 3037, 568, 1769, 543, 28368, 3533, 269, 621, 568, 7768, 540, 1804, 13355, 5536, 267, 1818, 621, 24338, 543, 3850, 2011, 547, 32694, 11884, 780, 273, 269, 10036, 3037, 281, 10036, 3037, 568, 1500, 909, 540, 1507, 267, 17401, 14095, 5536, 602, 11677, 1216, 543, 5567, 269, 621, 11148, 547, 581, 15417, 855, 666, 581, 4101, 547, 960, 609, 543, 8963, 14605, 780, 274, 269, 3138, 600, 3037, 281, 3138, 600, 3037, 568, 513, 7848, 540, 5070, 267, 521, 2830, 267, 543, 10036, 538, 17114, 602, 1450, 621, 547, 581, 1134, 1673, 20995, 267, 15417, 267, 543, 2653, 547, 960, 609, 780, 275, 269, 5214, 3037, 281, 5214, 3037, 568, 7768, 6140, 540, 2030, 1570, 543, 568, 3335, 1336, 538, 19126, 610, 2127, 609, 1164, 2157, 540, 5214, 2339, 563, 10640, 763, 1650, 3085, 1406, 991, 547, 2446, 3388, 538, 519, 6256, 267, 946, 621, 1175, 585, 6667, 543, 581, 3860, 2336, 763, 1650, 1058, 6451, 519, 1739, 2609, 912, 268, 15511, 281, 519, 1650, 1590, 4183, 693, 2547, 835, 6209, 5188, 602, 8761, 1915, 3178, 267, 8441, 519, 4729, 267, 610, 28807, 513, 2629, 4062, 540, 519, 9814, 3097, 268, 21624, 4798, 281, 2263, 4798, 22298, 609, 513, 9921, 5304, 267, 971, 607, 5837, 13509, 267, 16650, 14511, 267, 2123, 7004, 267, 610, 519, 4539, 540, 2250, 3527, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 834, 763, 3141, 8288, 1970, 538, 519, 6607, 257, 610, 834, 1103, 519, 27452, 1396, 2580, 581, 3860, 269, 0, 6092, 5149, 281, 15570, 810, 11219, 17702, 2782, 630, 5002, 275, 268, 5002, 276, 2020, 7072, 912, 1103, 713, 1576, 1770, 267, 649, 786, 3460, 1394, 538, 942, 547, 2263, 835, 540, 519, 1034, 1271, 7526, 538, 2413, 7489, 1686, 910, 519, 15570, 810, 11219, 17702, 2782, 602, 3576, 1747, 1063, 476, 5002, 275, 543, 476, 5002, 276, 269, 1411, 1522, 4898, 1946, 621, 781, 1898, 547, 1174, 713, 3140, 2680, 269, 4270, 267, 4952, 952, 596, 941, 1565, 737, 26147, 282, 9327, 1405, 6616, 827, 2250, 18544, 945, 19117, 19831, 6575, 2553, 948, 8300, 707, 7279, 286, 6684, 267, 1620, 875, 3567, 7153, 607, 513, 2101, 1158, 1379, 1310, 9396, 908, 6576, 786, 2709, 3407, 4030, 883, 519, 6384, 540, 2518, 6214, 543, 13137, 269, 1924, 1577, 781, 4685, 1318, 538, 2439, 4089, 476, 272, 281, 17553, 519, 8609, 454, 3528, 519, 3735, 476, 5197, 271, 338, 267, 3567, 1185, 6385, 9927, 3294, 689, 513, 32540, 2486, 883, 606, 4853, 1242, 4182, 11235, 547, 4228, 922, 3310, 3564, 922, 10665, 269, 2311, 519, 1482, 942, 267, 6576, 8179, 547, 8831, 922, 3914, 2066, 29036, 5607, 267, 17935, 547, 5150, 1569, 547, 16788, 543, 2200, 2059, 519, 7414, 23795, 269, 1452, 12721, 27606, 1305, 519, 3942, 585, 1761, 30925, 780, 4089, 476, 273, 281, 590, 1706, 802, 26850, 1107, 15486, 540, 519, 18366, 454, 307, 5014, 5337, 1243, 950, 1312, 2477, 9788, 6811, 936, 2494, 577, 22202, 543, 9705, 267, 4525, 3638, 538, 2067, 2200, 543, 21825, 4092, 693, 519, 2295, 540, 27040, 5607, 269, 2991, 1896, 20320, 14286, 267, 22195, 936, 16749, 4070, 3785, 2968, 519, 3803, 8141, 3056, 909, 547, 519, 12176, 540, 2112, 780, 4089, 476, 274, 281, 1849, 1662, 540, 25315, 753, 1107, 11683, 645, 25114, 1299, 5695, 940, 18745, 454, 8601, 1373, 856, 333, 3518, 1229, 543, 2348, 17071, 17189, 4222, 3379, 547, 6576, 267, 3567, 10268, 7415, 28365, 11958, 4800, 2429, 519, 2112, 269, 5565, 2565, 12959, 3989, 519, 18330, 540, 713, 4655, 281, 519, 11135, 540, 5800, 14880, 543, 17578, 2313, 9874, 26463, 780, 265, 11135, 540, 5800, 14880, 630, 5002, 275, 2567, 10318, 1441, 711, 547, 1577, 6576, 1852, 7580, 16788, 899, 5800, 14880, 267, 519, 5545, 26010, 9250, 513, 9983, 4323, 267, 524, 23774, 1782, 519, 6739, 18239, 546, 18088, 972, 269, 3683, 1633, 20146, 2471, 4553, 267, 9434, 5176, 3670, 3275, 1354, 9991, 883, 5545, 3946, 563, 265, 17578, 2313, 9874, 26463, 630, 5002, 276, 2567, 3117, 30872, 835, 540, 519, 6574, 24984, 538, 5545, 4108, 1686, 267, 519, 15875, 5545, 13108, 1232, 13846, 519, 6967, 6739, 27397, 18307, 564, 679, 8905, 547, 12927, 741, 635, 10232, 538, 519, 7414, 269, 901, 11802, 20177, 3567, 781, 17282, 538, 519, 3148, 543, 6825, 513, 7432, 1448, 538, 519, 2112, 780, 4089, 476, 275, 281, 2991, 4118, 1299, 8177, 454, 16729, 922, 14710, 267, 6576, 6444, 3567, 781, 16857, 2924, 936, 9705, 543, 2694, 540, 2494, 577, 22202, 998, 519, 15521, 540, 623, 2176, 17625, 269, 2859, 11932, 267, 713, 17636, 4396, 1881, 3567, 781, 2990, 607, 513, 23773, 3196, 538, 3486, 1894, 267, 4259, 519, 30675, 585, 2104, 4497, 906, 5473, 7489, 6082, 780, 6962, 912, 18698, 519, 15570, 810, 11219, 17702, 2782, 2636, 721, 547, 5490, 4514, 883, 519, 4241, 14960, 540, 2518, 1379, 10593, 543, 23786, 2994, 269, 898, 5713, 607, 513, 15266, 547, 1480, 6043, 267, 5647, 267, 543, 8990, 1247, 10223, 519, 2956, 540, 4509, 4708, 9624, 20849, 4690, 269, 1306, 14971, 12206, 267, 7421, 891, 2621, 2337, 22962, 938, 5380, 267, 5807, 513, 1732, 7071, 540, 938, 7104, 2250, 543, 11121, 15826, 5717, 827, 4207, 2152, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 5545, 2782, 609, 3624, 729, 513, 4655, 1063, 3567, 543, 3624, 1282, 519, 476, 4350, 271, 338, 543, 476, 3707, 271, 338, 269, 901, 2112, 1185, 1713, 4539, 538, 5935, 519, 2520, 641, 29176, 540, 5101, 5607, 543, 6038, 3366, 547, 3567, 779, 13567, 540, 1454, 540, 3624, 563, 763, 2112, 3459, 538, 476, 4350, 278, 609, 519, 3057, 1723, 2717, 334, 15167, 5549, 1211, 543, 15583, 730, 883, 513, 2407, 8397, 4655, 267, 6353, 676, 3567, 779, 10728, 7269, 543, 10792, 2126, 540, 4457, 21127, 269, 634, 4457, 4187, 267, 3366, 676, 519, 2817, 626, 2229, 543, 519, 19797, 9549, 267, 530, 3042, 513, 27615, 9934, 1368, 20482, 8759, 2112, 1996, 519, 5545, 4229, 563, 763, 4655, 8694, 538, 476, 3707, 276, 609, 3567, 779, 21704, 547, 519, 20466, 7060, 267, 16287, 513, 7432, 1448, 538, 3624, 779, 4339, 585, 7115, 543, 519, 22638, 556, 652, 28344, 618, 540, 922, 16285, 563, 763, 17959, 2986, 634, 5545, 2782, 2060, 3624, 454, 763, 8129, 540, 519, 5545, 2782, 2060, 3624, 666, 581, 14360, 1394, 547, 519, 1950, 2797, 2916, 538, 519, 2038, 476, 736, 628, 2540, 269, 634, 8082, 1063, 519, 1079, 6082, 1185, 922, 5072, 538, 1883, 2621, 971, 607, 519, 590, 3626, 11219, 17702, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 305, 639, 810, 11219, 17702, 2782, 630, 5002, 275, 268, 5002, 276, 17983, 607, 851, 540, 834, 19615, 1315, 5607, 1315, 3567, 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 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1482, 607, 519, 1576, 1448, 3446, 289, 895, 2456, 5044, 538, 519, 8848, 3758, 454, 258, 855, 10736, 547, 21159, 269, 3097, 2745, 27719, 333, 3086, 609, 519, 8848, 3758, 856, 540, 519, 1259, 267, 1577, 781, 5965, 930, 3446, 6302, 4799, 2745, 834, 5472, 4484, 9344, 538, 713, 1576, 616, 5462, 676, 2949, 21159, 269, 5981, 786, 4840, 2745, 834, 326, 633, 596, 3446, 6302, 538, 2474, 540, 1576, 2798, 267, 14322, 1100, 929, 528, 919, 269, 1809, 538, 4840, 2745, 834, 4650, 547, 1118, 519, 1482, 6302, 4019, 547, 1053, 609, 929, 528, 919, 267, 649, 786, 1101, 4840, 2745, 834, 935, 3200, 519, 6302, 883, 21159, 269, 898, 568, 891, 21159, 602, 786, 581, 946, 4840, 2745, 834, 1729, 3313, 3025, 781, 4484, 3446, 267, 929, 28672, 610, 711, 4799, 2745, 834, 4840, 13425, 25911, 766, 269, 7093, 335, 294, 10232, 263, 14079, 321, 323, 903, 994, 2745, 834, 4840, 2745, 834, 22706, 6302, 616, 1631, 5423, 4799, 604, 711, 8746, 281, 2638, 514, 815, 6151, 17750, 19629, 333, 295, 527, 2132, 547, 3136, 269, 1403, 1945, 781, 4636, 267, 4497, 519, 605, 31547, 4781, 609, 6513, 4211, 1701, 9239, 258, 32114, 782, 568, 15528, 693, 713, 1448, 267, 1577, 781, 1224, 538, 519, 6151, 2875, 1239, 269, 634, 454, 258, 1592, 1412, 11907, 262, 568, 519, 6151, 1239, 563, 2745, 27719, 333, 2060, 602, 856, 540, 519, 1259, 267, 1577, 781, 1205, 602, 2875, 1239, 256, 1284, 786, 1930, 519, 6151, 4840, 2745, 834, 14079, 1433, 3758, 689, 536, 290, 12973, 610, 8726, 543, 1224, 602, 883, 513, 9649, 5044, 4799, 11907, 17342, 2639, 3650, 992, 17342, 2639, 2745, 834, 4840, 17572, 22473, 269, 7476, 305, 1177, 10574, 16597, 267, 3650, 992, 994, 2745, 834, 4840, 2745, 834, 10817, 612, 1018, 286, 9906, 1239, 568, 1224, 538, 543, 5423, 30882, 604, 711, 8746, 281, 2638, 514, 815, 6151, 17750, 19629, 333, 295, 527, 2132, 547, 3136, 269, 1403, 1945, 781, 4636, 267, 4497, 519, 605, 31547, 4781, 609, 6513, 4211, 1701, 9239, 258, 8921, 1900, 568, 547, 1224, 538, 519, 19594, 293, 9711, 6119, 543, 10544, 741, 3446, 1826, 454, 18196, 17342, 2639, 11133, 10743, 815, 1496, 271, 267, 271, 267, 271, 2639, 2745, 19629, 333, 3767, 1577, 781, 1413, 693, 519, 19594, 293, 9711, 6119, 269, 1284, 3513, 1294, 799, 1053, 1616, 547, 1491, 5602, 2745, 2891, 1492, 1362, 623, 23259, 610, 24700, 23528, 2745, 834, 4840, 17572, 22473, 269, 7476, 22706, 13911, 16597, 267, 18196, 267, 11133, 10743, 994, 2745, 834, 4840, 2745, 2891, 10498, 267, 782, 519, 1793, 871, 619, 616, 1631, 20039, 585, 23528, 604, 711, 8746, 281, 2638, 514, 815, 6151, 17750, 19629, 333, 295, 527, 2132, 547, 3136, 269, 1403, 1945, 781, 4636, 267, 4497, 519, 605, 31547, 4781, 609, 6513, 4211, 1701, 9239, 258, 8921, 568, 547, 9192, 891, 8638, 547, 1118, 519, 4487, 3446, 1504, 3758, 454, 2745, 19629, 333, 3086, 649, 991, 547, 798, 930, 960, 269, 2913, 781, 1118, 519, 3446, 1504, 269, 3371, 649, 786, 4020, 5602, 2745, 2891, 320, 3446, 1433, 7127, 585, 1169, 2875, 538, 519, 19594, 293, 9711, 6119, 269, 1411, 1058, 3533, 5602, 2745, 2891, 19972, 998, 782, 519, 13366, 602, 616, 9102, 1310, 713, 5048, 269, 8409, 13366, 5602, 2745, 2891, 732, 4408, 689, 536, 290, 12973, 855, 616, 711, 538, 519, 4013, 17459, 289, 19594, 293, 9711, 6119, 23528, 2745, 2891, 6624, 540, 891, 13366, 616, 4440, 2912, 6002, 267, 8436, 267, 543, 1018, 2254, 269, 1809, 930, 5602, 2745, 2891, 332, 697, 581, 1053, 945, 723, 1044, 7432, 538, 10467, 616, 711, 2965, 19801, 5602, 2745, 2891, 514, 519, 1576, 32405, 326, 1504, 815, 11713, 13425, 25911, 766, 8160, 820, 22706, 9349, 16597, 267, 18196, 267, 326, 1504, 994, 2745, 19629, 333, 22706, 1504, 568, 1631, 1500, 256, 7937, 9493, 1695, 2807, 315, 333, 5602, 23437, 1239, 267, 2010, 454, 604, 711, 8746, 281, 2638, 514, 815, 6151, 17750, 19629, 333, 295, 527, 2132, 547, 3136, 269, 1403, 1945, 781, 4636, 267, 4497, 519, 605, 31547, 4781, 609, 6513, 4211, 1701, 9239, 11133, 6597, 815, 7003, 14116, 1504, 994, 11133, 10743, 314, 273, 316, 815, 1003, 6597, 454, 12195, 710, 4590, 2745, 834, 3528, 519, 1259, 267, 972, 616, 834, 1341, 1193, 16325, 6597, 264, 1341, 834, 1053, 538, 519, 1362, 4799, 2745, 834, 8170, 891, 267, 834, 1341, 1193, 16325, 10743, 314, 271, 8079, 1341, 834, 616, 19801, 538, 595, 1015, 4799, 2745, 834, 8170, 891, 267, 834, 1341, 1193, 16325, 10743, 314, 272, 8079, 1341, 834, 616, 19801, 538, 700, 261, 306, 26142, 333, 4840, 12195, 710, 4590, 604, 711, 8746, 281, 2638, 514, 815, 6151, 17750, 19629, 333, 295, 527, 2132, 547, 3136, 269, 1403, 1945, 781, 4636, 267, 4497, 519, 605, 31547, 4781, 609, 6513, 4211, 1701, 9239, 258, 901, 568, 513, 1434, 4090, 585, 513, 7254, 640, 2638, 563, 604, 711, 263, 20813, 1211, 2567, 6744, 25911, 766, 269, 22923, 13425, 14116, 1504, 267, 11133, 6597, 9239, 258, 3767, 649, 666, 6368, 798, 930, 9273, 454, 258, 1280, 1142, 7127, 538, 519, 575, 1504, 267, 649, 3513, 12337, 6780, 9103, 1023, 267, 7688, 9103, 1023, 267, 3092, 269, 543, 454, 258, 6460, 547, 1576, 2798, 269, 8528, 258, 4642, 13366, 616, 585, 554, 342, 267, 7688, 267, 544, 339, 267, 22475, 267, 838, 267, 3803, 267, 1576, 533, 1206, 267, 3193, 1576, 533, 1206, 454, 258, 5044, 568, 585, 1022, 929, 528, 919, 602, 616, 2944, 454, 258, 15937, 4484, 7436, 952, 519, 6060, 729, 16924, 936, 337, 5200, 3097, 6339, 306, 13990, 815, 1496, 1496, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 2437, 311, 2580, 26514, 2437, 301, 19312, 585, 1775, 538, 2039, 16325, 6597, 264, 476, 6540, 12195, 710, 4590, 2745, 2891, 5591, 1577, 781, 798, 930, 9273, 23528, 2745, 2891, 15612, 908, 1576, 2798, 689, 3446, 1504, 907, 23528, 1721, 1775, 538, 2039, 263, 271, 267, 11133, 6597, 2567, 12433, 5861, 6847, 32622, 14116, 1504, 5157, 3910, 6339, 306, 13990, 5157, 7481, 2745, 2891, 1862, 6092, 18745, 7229, 269, 29626, 4484, 9344, 907, 23528, 1721, 1775, 538, 2039, 263, 271, 267, 11133, 6597, 2567, 12433, 269, 4131, 614, 294, 10232, 3799, 564, 306, 13990, 5157, 3910, 12072, 301, 1868, 994, 2745, 2891, 1862, 14594, 24110, 7229, 269, 8074, 602, 649, 786, 711, 6460, 9344, 547, 623, 23259, 610, 24700, 5602, 2745, 2891, 2863, 559, 649, 1820, 519, 3803, 6119, 585, 19594, 293, 9711, 269, 7102, 3118, 267, 1631, 7311, 936, 337, 1938, 907, 23528, 24280, 6993, 653, 569, 7021, 337, 1938, 3799, 564, 306, 13990, 267, 326, 1504, 994, 2745, 2891, 1862, 3683, 337, 1938, 4294, 269, 17677, 4211, 515, 9535, 547, 1118, 2386, 782, 1053, 723, 513, 4484, 3446, 907, 23528, 13425, 25911, 766, 5861, 515, 1188, 4131, 1562, 14116, 1504, 267, 6339, 306, 13990, 994, 2745, 2891, 1862, 543, 1862, 543, 256, 3267, 543, 30314, 23099, 24110, 7229, 256, 315, 333, 5602, 604, 711, 8746, 281, 2638, 514, 815, 6151, 17750, 19629, 333, 295, 527, 2132, 547, 3136, 269, 1403, 1945, 781, 4636, 267, 4497, 519, 605, 31547, 4781, 609, 6513, 4211, 1701, 2020, 692, 258, 3371, 568, 1141, 519, 717, 21397, 6238, 269, 898, 781, 513, 1247, 1413, 602, 568, 1152, 608, 1243, 950, 596, 1616, 547, 14827, 454, 258, 519, 1982, 563, 12195, 710, 4590, 2745, 2891, 10498, 267, 649, 2811, 2944, 269, 2913, 781, 1413, 693, 519, 1239, 1701, 2020, 294, 21397, 269, 19530, 302, 6877, 4590, 6112, 6936, 912, 453, 12195, 710, 4590, 13537, 19629, 333, 8702, 547, 519, 1292, 10624, 23528, 453, 4046, 815, 6151, 17750, 2891, 1432, 1058, 649, 798, 286, 281, 19515, 14851, 711, 1365, 18622, 2897, 2891, 834, 2437, 257, 2187, 453, 453, 258, 9980, 1229, 4986, 563, 453, 13537, 2891, 13911, 744, 547, 1294, 519, 2139, 3681, 23528, 453, 19197, 263, 1022, 3287, 538, 1496, 4046, 269, 21639, 3890, 316, 585, 1535, 538, 18358, 292, 12887, 304, 12887, 12702, 3951, 12887, 13052, 3951, 262, 8079, 476, 2187, 453, 453, 19874, 454, 453, 19197, 263, 1022, 3287, 538, 1496, 4046, 269, 21639, 3890, 316, 585, 1535, 538, 18358, 296, 12887, 2562, 23859, 262, 8079, 476, 2187, 453, 453, 294, 21397, 269, 19530, 14813, 334, 14116, 1504, 267, 6339, 306, 13990, 267, 11133, 10743, 994, 453, 19197, 263, 1022, 3287, 538, 1496, 4046, 269, 21639, 3890, 316, 585, 1535, 538, 18358, 302, 12887, 8008, 16739, 12887, 8008, 3582, 262, 8079, 476, 2187, 453, 453, 294, 21397, 269, 19530, 302, 6877, 4590, 453, 19197, 263, 1022, 3287, 538, 1496, 4046, 269, 21639, 3890, 316, 585, 1535, 538, 18358, 303, 12887, 11266, 19860, 12887, 23813, 2752, 293, 3722, 4811, 262, 8079, 476, 2187, 453, 453, 294, 21397, 269, 19530, 293, 3796, 14116, 1504, 267, 6339, 306, 13990, 994, 453, 19197, 263, 1022, 3287, 538, 1496, 4046, 269, 21639, 3890, 316, 585, 1535, 538, 18358, 306, 12887, 4306, 2969, 306, 12887, 4306, 2969, 262, 8079, 476, 2187, 453, 453, 294, 21397, 269, 19530, 1805, 1846, 14116, 1504, 267, 6339, 306, 13990, 264, 28768, 453, 19197, 263, 1022, 3287, 538, 1496, 4046, 269, 21639, 3890, 316, 585, 1535, 538, 18358, 288, 12887, 3201, 9898, 262, 8079, 476, 2187, 453, 453, 294, 21397, 269, 2704, 614, 30360, 3799, 564, 306, 13990, 267, 326, 1504, 264, 28768, 453, 19197, 263, 1022, 3287, 538, 1496, 4046, 21858, 3890, 314, 271, 4940, 21639, 3890, 316, 585, 1535, 538, 18358, 291, 12887, 291, 3041, 303, 6369, 312, 262, 8079, 476, 2187, 453, 14851, 12759, 263, 4046, 21858, 28829, 3436, 476, 272, 2187, 4848, 14851, 263, 1415, 3287, 538, 1496, 4046, 21858, 3890, 314, 272, 4940, 21639, 3890, 316, 585, 1535, 538, 18358, 302, 12887, 10976, 2207, 305, 22432, 12887, 10976, 2207, 305, 2839, 2464, 262, 8079, 476, 2187, 15235, 453, 294, 21397, 269, 19530, 7021, 337, 1938, 4590, 4848, 453, 19197, 263, 1415, 3287, 538, 1496, 4046, 21858, 3890, 314, 272, 4940, 21639, 3890, 316, 585, 1535, 538, 18358, 303, 12887, 11266, 3036, 12442, 12887, 11266, 3036, 2969, 2464, 262, 8079, 476, 2187, 15235, 453, 294, 21397, 6185, 529, 2452, 303, 2928, 919, 14116, 1504, 267, 6339, 306, 13990, 994, 4848, 453, 19197, 263, 1415, 3287, 538, 1496, 4046, 21858, 3890, 314, 272, 4940, 21639, 3890, 316, 585, 1535, 538, 18358, 305, 12887, 4629, 4306, 2207, 12887, 4629, 302, 4306, 2207, 262, 8079, 476, 2187, 15235, 14851, 263, 4046, 21858, 3890, 314, 272, 4940, 21639, 3890, 2525, 257, 4629, 302, 4306, 2207, 257, 2567, 1820, 19629, 333, 14826, 290, 10813, 298, 302, 302, 302, 302, 302, 256, 315, 333, 14826, 5602, 15235, 453, 294, 21397, 6185, 529, 2452, 305, 8803, 14116, 1504, 267, 6339, 306, 13990, 994, 4848, 453, 19197, 263, 1415, 3287, 538, 1496, 4046, 21858, 3890, 314, 272, 4940, 21639, 3890, 316, 585, 1535, 538, 26240, 330, 1803, 339, 614, 301, 1868, 266, 12072, 301, 1868, 264, 476, 2187, 15235, 453, 294, 21397, 6185, 529, 2452, 4131, 614, 22706, 263, 4046, 21858, 3890, 314, 272, 4940, 21639, 19572, 326, 1504, 267, 6339, 306, 13990, 994, 4848, 453, 19197, 263, 1022, 3287, 538, 1496, 4046, 21858, 3890, 314, 272, 4940, 21639, 3890, 316, 585, 1535, 538, 18358, 313, 12887, 313, 2207, 302, 12887, 313, 2207, 5308, 262, 8079, 476, 2187, 15235, 453, 326, 323, 815, 6151, 17750, 2891, 11767, 513, 7121, 281, 834, 1341, 1193, 3799, 564, 629, 516, 341, 314, 271, 281, 279, 8079, 1341, 834, 2433, 19515, 15235, 453, 326, 323, 815, 575, 323, 18622, 2897, 2891, 834, 2437, 20257, 21639, 4590, 15235, 14851, 263, 575, 323, 538, 2121, 629, 516, 341, 2187, 20930, 453, 294, 21397, 269, 313, 14058, 14116, 1504, 267, 6339, 306, 13990, 267, 326, 323, 269, 21639, 15405, 15235, 28432, 912, 20930, 13537, 2891, 1103, 20777, 7121, 23528, 4848, 28432, 912, 15235, 453, 294, 21397, 6185, 529, 2452, 22923, 263, 4046, 21858, 3890, 314, 272, 3910, 326, 1504, 267, 6339, 306, 13990, 994, 453, 28432, 912, 4848, 13537, 2891, 11514, 2452, 2115, 2789, 7440, 267, 535, 5622, 269, 8347, 1586, 23528, 453, 19197, 263, 1022, 3287, 538, 1496, 4046, 269, 21639, 3890, 316, 585, 1535, 538, 18358, 289, 12887, 289, 16704, 2207, 12887, 289, 16704, 8991, 262, 8079, 476, 2187, 453, 13537, 2891, 4131, 781, 1294, 875, 1082, 1053, 616, 1175, 21183, 540, 15980, 519, 1739, 3446, 23528, 453, 453, 326, 323, 815, 6151, 17750, 2891, 11767, 513, 4484, 3446, 630, 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 ]
[ 16614, 1247, 5807, 5191, 540, 4082, 780, 3086, 1577, 781, 2015, 1776, 9183, 281, 4952, 9683, 513, 2442, 4914, 3377, 3135, 267, 1152, 547, 1265, 856, 602, 1978, 4930, 5749, 1405, 2139, 538, 707, 2197, 1813, 547, 2229, 9993, 269, 6496, 713, 9983, 596, 286, 7756, 2477, 723, 8795, 4031, 3823, 4950, 1569, 543, 24890, 269, 2368, 3494, 1004, 1058, 723, 19727, 24071, 1569, 547, 1022, 1344, 2228, 267, 6466, 1866, 8044, 7182, 1590, 581, 5116, 593, 1808, 2010, 540, 1543, 16363, 5739, 610, 5906, 269, 3414, 4317, 9012, 26291, 267, 649, 4983, 891, 18312, 16752, 543, 2263, 2081, 547, 10880, 513, 3666, 1063, 7863, 3755, 543, 8497, 1930, 2792, 9055, 780, 4131, 781, 3142, 621, 6251, 547, 1753, 269, 6056, 827, 875, 1514, 2923, 4249, 513, 1713, 1909, 1282, 12836, 269, 7971, 5974, 946, 891, 5867, 547, 2671, 741, 5784, 267, 1921, 609, 23466, 267, 543, 20834, 1125, 1489, 269, 1717, 267, 25749, 11044, 267, 30378, 267, 543, 4914, 13779, 666, 849, 2049, 1369, 891, 5691, 5054, 269, 1924, 267, 875, 666, 649, 2327, 14619, 543, 11413, 538, 2797, 11407, 2228, 286, 24356, 4317, 9012, 26291, 2337, 721, 1174, 1761, 3435, 899, 31749, 6042, 593, 2797, 10229, 267, 2799, 3646, 547, 8396, 16995, 3377, 267, 543, 5009, 2318, 2228, 2623, 780, 9961, 1686, 267, 7239, 723, 11179, 9862, 547, 1007, 3029, 540, 2792, 1107, 689, 9275, 1893, 547, 2854, 5931, 267, 1820, 2923, 267, 751, 25393, 344, 267, 5925, 31076, 267, 8613, 267, 543, 1631, 267, 3059, 5121, 269, 3962, 6639, 13120, 814, 4547, 8521, 2189, 2591, 8506, 6297, 7156, 543, 15826, 10350, 269, 1635, 4974, 4317, 9012, 26291, 267, 649, 16491, 6000, 609, 519, 2645, 2877, 547, 6330, 2221, 781, 1950, 3059, 5251, 19100, 543, 31719, 780, 2026, 3742, 5171, 538, 519, 1158, 540, 1514, 2923, 267, 1620, 922, 10350, 2636, 1142, 835, 540, 721, 547, 3565, 9797, 2509, 5935, 938, 7104, 2228, 1995, 269, 8625, 267, 649, 666, 960, 2509, 2679, 10930, 267, 811, 8537, 3059, 2950, 585, 3025, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 295, 8780, 476, 1911, 3201, 272, 23834, 15477, 3201, 25886, 630, 289, 584, 2023, 267, 589, 8094, 14532, 476, 1911, 6227, 476, 10384, 1296, 2066, 519, 8608, 538, 476, 1428, 4374, 269, 634, 1576, 5205, 513, 2596, 26567, 2239, 689, 519, 476, 1724, 628, 2540, 909, 547, 519, 1459, 269, 3776, 1935, 786, 9192, 519, 2518, 543, 519, 2199, 267, 10771, 6476, 543, 3017, 1063, 2053, 543, 4025, 269, 3776, 2101, 4798, 786, 581, 2797, 1949, 267, 4123, 543, 21113, 267, 2686, 13341, 267, 519, 1909, 540, 2021, 543, 4008, 267, 543, 519, 4473, 543, 2887, 540, 23693, 4534, 782, 538, 519, 2796, 540, 513, 2518, 5943, 563, 6344, 3201, 272, 661, 17129, 6789, 296, 3198, 595, 4353, 6579, 22003, 25972, 630, 2419, 578, 267, 918, 8094, 306, 877, 1306, 661, 3201, 290, 476, 6344, 454, 1607, 1576, 12857, 519, 3982, 607, 1134, 607, 3838, 2093, 543, 5238, 540, 519, 2101, 12977, 538, 5101, 5607, 281, 3624, 543, 3567, 269, 1284, 786, 1445, 593, 1079, 3140, 3157, 269, 3689, 267, 519, 1818, 540, 513, 2686, 1062, 540, 5101, 5607, 1354, 519, 13524, 2540, 269, 1284, 786, 1865, 875, 3624, 7960, 883, 513, 2101, 10340, 538, 5607, 267, 2870, 10058, 20748, 267, 1514, 267, 2797, 267, 543, 2804, 21272, 602, 3357, 547, 5581, 3624, 267, 543, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 12892, 9012, 26291, 257, 607, 851, 540, 834, 303, 27773, 13316, 1315, 11572, 6713, 1315, 9012, 1299, 5769, 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 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 570, 11839, 267, 3627, 16399, 267, 543, 12246, 3570, 6742, 710, 345, 4211, 27475, 269, 630, 1220, 279, 1040, 23206, 543, 4656, 538, 3942, 9059, 281, 7432, 15361, 883, 1382, 269, 7186, 17352, 29249, 269, 8222, 281, 476, 1015, 269, 9818, 279, 1315, 562, 337, 333, 26316, 274, 0, 5226, 714, 8382, 6206, 543, 8342, 12700, 454, 272, 269, 769, 713, 1433, 267, 1152, 476, 26951, 1114, 1913, 616, 1031, 454, 273, 269, 769, 713, 1433, 267, 519, 4484, 834, 292, 257, 568, 711, 1031, 454, 274, 269, 769, 713, 1433, 267, 862, 553, 616, 711, 1031, 454, 275, 269, 769, 713, 1433, 267, 1152, 476, 2004, 1114, 1913, 616, 1031, 454, 276, 269, 901, 1433, 729, 14916, 15428, 676, 519, 2278, 930, 476, 1789, 1296, 1310, 922, 26813, 454, 277, 269, 901, 1433, 15320, 689, 519, 2278, 781, 824, 2835, 281, 621, 814, 1100, 840, 2183, 610, 12383, 543, 568, 519, 20125, 540, 873, 454, 278, 269, 634, 2278, 4956, 547, 11198, 713, 1433, 689, 10009, 855, 519, 17404, 15189, 547, 798, 865, 454, 279, 269, 634, 2278, 5747, 1354, 11264, 713, 1433, 454, 280, 269, 901, 1433, 729, 3370, 827, 476, 2568, 1296, 1310, 519, 2278, 781, 2669, 454, 1015, 269, 634, 1152, 3209, 676, 513, 30508, 2278, 454, 13126, 281, 8191, 11792, 325, 517, 454, 1607, 7688, 729, 12649, 676, 8342, 23871, 14746, 9375, 3138, 2292, 4671, 17480, 454, 29592, 2469, 2228, 563, 12179, 6959, 1336, 538, 8342, 23871, 14746, 1543, 616, 22991, 22621, 998, 938, 5955, 1062, 269, 0, 288, 13488, 6840, 6651, 547, 2142, 3663, 10290, 15117, 454, 289, 2465, 577, 10290, 568, 606, 5863, 1747, 547, 3643, 267, 2436, 596, 1616, 547, 2972, 519, 2067, 10450, 610, 3643, 519, 18845, 269, 1411, 666, 1451, 827, 519, 1686, 540, 4154, 5599, 267, 1294, 519, 654, 8962, 1117, 22484, 610, 979, 593, 513, 30382, 1472, 519, 12647, 269, 14755, 602, 267, 596, 666, 849, 2119, 519, 1082, 14060, 543, 3094, 7685, 1472, 519, 4884, 563, 14532, 540, 4154, 5599, 454, 289, 2465, 577, 10290, 267, 15117, 568, 513, 4154, 5599, 4884, 602, 568, 1419, 10272, 676, 14666, 269, 634, 1858, 568, 849, 1634, 585, 922, 28677, 16972, 10754, 7870, 543, 15022, 622, 5656, 563, 1320, 748, 1343, 540, 19379, 1166, 18088, 547, 519, 3148, 538, 519, 3735, 476, 6977, 271, 338, 547, 29677, 519, 21792, 4154, 269, 634, 2698, 2551, 540, 15117, 8057, 6385, 1310, 519, 6602, 269, 634, 10034, 540, 11831, 541, 520, 267, 645, 754, 15282, 543, 24332, 941, 519, 1292, 18013, 540, 519, 12733, 563, 1103, 519, 2038, 2395, 267, 2627, 782, 12320, 658, 4154, 729, 4362, 269, 898, 729, 1336, 538, 3623, 1399, 2127, 593, 519, 8492, 540, 8933, 543, 524, 872, 802, 269, 13536, 267, 811, 2352, 543, 5906, 2409, 941, 1031, 269, 7324, 824, 2553, 267, 17453, 22376, 6005, 2968, 2442, 269, 901, 3238, 1210, 1804, 5666, 540, 1216, 547, 22376, 823, 519, 4154, 689, 519, 5757, 5523, 563, 763, 22376, 6005, 4480, 2838, 1804, 9424, 540, 1216, 543, 11141, 4702, 905, 1846, 269, 1677, 2327, 602, 519, 1216, 1223, 2095, 267, 19379, 3710, 3573, 5121, 540, 21394, 267, 14797, 543, 25310, 563, 289, 2465, 577, 10290, 729, 519, 8998, 540, 1950, 1216, 5121, 538, 519, 7810, 4154, 26753, 269, 3509, 540, 519, 14797, 543, 21394, 3710, 676, 519, 19379, 616, 12873, 2221, 269, 634, 8836, 14924, 7870, 540, 20616, 4826, 5004, 1788, 568, 513, 5698, 1063, 5487, 18858, 2041, 2160, 543, 519, 8241, 3194, 7027, 563, 763, 2142, 3663, 10290, 8664, 729, 835, 540, 519, 1034, 1713, 782, 12320, 658, 4154, 26753, 538, 7810, 15117, 269, 4438, 519, 476, 6977, 271, 338, 267, 5216, 8536, 1004, 941, 2324, 593, 519, 4610, 269, 1717, 267, 607, 4154, 24776, 856, 267, 519, 1858, 4503, 1034, 540, 922, 2551, 563, 1103, 519, 3735, 476, 6977, 271, 338, 267, 4457, 4600, 3357, 547, 2142, 3663, 10290, 269, 11153, 1296, 2663, 267, 9937, 540, 5215, 540, 20404, 8452, 538, 3162, 24332, 543, 519, 7108, 26753, 4525, 547, 29677, 519, 21792, 4154, 563, 7628, 519, 476, 5908, 271, 338, 267, 519, 27743, 13738, 14086, 7577, 9112, 606, 476, 8517, 31475, 516, 17489, 15993, 896, 519, 10034, 1222, 269, 901, 5280, 547, 2569, 519, 1216, 2157, 540, 11354, 15880, 563, 763, 2142, 3663, 10290, 9174, 3148, 568, 13883, 538, 519, 4190, 5087, 7532, 540, 15117, 269, 898, 568, 827, 476, 274, 3108, 22583, 540, 24332, 269, 634, 1858, 814, 513, 10639, 585, 6721, 1164, 2298, 25299, 269, 634, 18812, 8677, 538, 519, 2142, 3663, 10290, 3148, 616, 932, 30972, 333, 599, 267, 18237, 582, 3143, 597, 267, 1744, 4275, 345, 267, 16410, 1716, 564, 28397, 341, 793, 517, 267, 543, 811, 269, 634, 2916, 568, 3579, 267, 543, 519, 3037, 568, 7768, 540, 25342, 563, 2467, 616, 811, 982, 1079, 18797, 11903, 29288, 538, 2142, 3663, 10290, 269, 4107, 11903, 29288, 616, 13234, 676, 1920, 4559, 269, 589, 1906, 616, 711, 1930, 547, 519, 1857, 269, 1717, 267, 930, 786, 1294, 596, 676, 13393, 563, 289, 2465, 577, 10290, 779, 2038, 30676, 941, 27333, 12630, 538, 476, 6977, 277, 269, 1452, 30676, 941, 2693, 21433, 689, 6276, 22084, 2421, 779, 27191, 269, 634, 4884, 1185, 476, 3583, 25614, 538, 519, 2038, 476, 6245, 271, 338, 563, 310, 514, 7685, 538, 2142, 3663, 10290, 1118, 930, 540, 519, 20923, 669, 30972, 333, 599, 538, 5245, 269, 634, 2916, 2636, 585, 14167, 2504, 540, 1896, 1114, 8677, 269, 634, 1768, 549, 597, 5849, 513, 3666, 540, 4829, 543, 7657, 2293, 538, 519, 25299, 563, 289, 2465, 577, 10290, 568, 513, 4884, 540, 1472, 476, 275, 267, 12010, 1004, 269, 4706, 1292, 8265, 568, 20898, 609, 552, 831, 625, 543, 6561, 6300, 325, 1258, 1206, 269, 898, 568, 513, 18512, 15805, 10278, 269, 898, 568, 4092, 538, 519, 9087, 1054, 1571, 540, 519, 16972, 32595, 269, 898, 568, 513, 1747, 1141, 519, 4154, 19060, 2451, 922, 1665, 563, 1103, 519, 2038, 476, 866, 628, 2540, 267, 2142, 3663, 10290, 3812, 2298, 9174, 689, 922, 2038, 30676, 269, 901, 3366, 547, 513, 4028, 2208, 538, 519, 2146, 269, 634, 4884, 2968, 513, 14297, 15805, 10278, 267, 543, 729, 1753, 547, 1082, 540, 5245, 779, 1101, 12696, 269, 634, 4154, 19060, 540, 519, 476, 5197, 271, 338, 849, 2451, 4190, 10651, 543, 2817, 11565, 2000, 13554, 5656, 563, 9213, 267, 519, 2142, 3663, 10290, 9174, 3148, 568, 3395, 20406, 269, 898, 8843, 513, 7997, 609, 519, 1325, 18090, 966, 4150, 903, 267, 681, 9801, 326, 6352, 267, 543, 3794, 523, 992, 534, 269, 4014, 972, 616, 513, 1906, 11903, 29288, 267, 519, 9174, 2872, 568, 1507, 269, 634, 25739, 9174, 568, 7361, 4421, 998, 1591, 541, 9885, 563, 763, 4884, 540, 2142, 3663, 10290, 568, 593, 519, 6316, 540, 519, 16972, 4400, 13474, 269, 898, 568, 513, 1390, 1747, 547, 3251, 1247, 3695, 519, 3148, 267, 610, 547, 3247, 1055, 593, 513, 4155, 7552, 1063, 24332, 543, 2052, 828, 571, 269, 1703, 616, 513, 1297, 540, 14060, 538, 2142, 3663, 10290, 563, 2467, 616, 513, 1297, 540, 1114, 14060, 543, 22538, 525, 538, 2142, 3663, 10290, 267, 543, 1034, 616, 1930, 593, 3018, 17058, 269, 589, 1906, 540, 519, 811, 8037, 14060, 1331, 281, 570, 2562, 312, 267, 634, 6239, 22447, 8663, 267, 543, 1160, 1597, 766, 563, 2316, 29369, 568, 513, 1007, 1309, 10623, 602, 8118, 538, 2142, 3663, 10290, 538, 476, 1708, 271, 269, 4635, 14520, 335, 775, 24334, 267, 570, 2562, 312, 5713, 519, 1655, 6995, 538, 2142, 3663, 10290, 269, 634, 1309, 10623, 849, 5713, 2199, 16469, 543, 10381, 269, 634, 10624, 2882, 7969, 30816, 8286, 269, 634, 1309, 10623, 24693, 5491, 3556, 9753, 543, 3091, 513, 1906, 28774, 585, 2228, 1433, 902, 563, 763, 13962, 693, 519, 7276, 23392, 538, 2142, 3663, 10290, 568, 835, 540, 519, 1034, 2442, 14060, 538, 15117, 269, 634, 15982, 18226, 4055, 2934, 25509, 3312, 27397, 12566, 19683, 269, 1703, 568, 2661, 2575, 267, 543, 519, 1426, 543, 9174, 10624, 568, 513, 3575, 540, 27825, 543, 30809, 593, 873, 269, 634, 10624, 849, 2934, 6237, 536, 719, 1664, 581, 619, 543, 524, 11107, 563, 289, 1571, 517, 779, 29879, 19255, 267, 4092, 538, 2142, 3663, 10290, 779, 8978, 2379, 6670, 267, 568, 513, 1390, 1747, 547, 3732, 25299, 689, 5087, 3887, 770, 15117, 269, 898, 814, 513, 512, 8463, 4055, 543, 513, 884, 820, 6470, 3046, 267, 543, 849, 13632, 16865, 543, 6469, 25299, 267, 1347, 12827, 24809, 267, 543, 10381, 563, 763, 7621, 543, 670, 895, 645, 626, 549, 267, 513, 2199, 19463, 267, 568, 513, 9788, 25746, 552, 831, 344, 7674, 15309, 545, 3943, 543, 7969, 5986, 269, 634, 10624, 2934, 25299, 689, 4478, 4525, 543, 2199, 2142, 3663, 10290, 25299, 269, 901, 568, 513, 1920, 2196, 1870, 602, 3096, 2199, 3132, 267, 543, 519, 10051, 568, 2196, 676, 519, 8227, 779, 7385, 267, 14639, 8291, 563, 763, 1160, 1597, 766, 31777, 656, 538, 2142, 3663, 10290, 267, 11262, 676, 4258, 325, 7812, 24138, 543, 1010, 7385, 14639, 8291, 267, 568, 513, 1283, 27677, 577, 13962, 269, 901, 5386, 1673, 1456, 10661, 9846, 4025, 538, 519, 717, 712, 5471, 13488, 2401, 779, 5440, 476, 1911, 31777, 1218, 538, 519, 1158, 563, 299, 820, 23715, 2536, 323, 547, 8235, 590, 3711, 749, 3802, 454, 2467, 616, 1082, 6972, 13475, 2429, 2142, 3663, 10290, 602, 2709, 8436, 519, 4960, 547, 2263, 713, 4190, 4884, 269, 2368, 540, 519, 811, 2442, 3283, 1331, 519, 2142, 3663, 10290, 547, 8235, 23715, 2536, 323, 3802, 267, 543, 519, 8978, 25371, 547, 15142, 12565, 20417, 563, 288, 1434, 1376, 547, 3695, 2142, 3663, 10290, 568, 547, 3643, 519, 2142, 3663, 10290, 6250, 6002, 6176, 10418, 269, 3245, 972, 267, 513, 2619, 5012, 596, 547, 8235, 590, 3711, 749, 267, 543, 519, 10720, 568, 519, 3501, 1747, 547, 3247, 543, 1491, 513, 1413, 1472, 269, 634, 8235, 568, 513, 1390, 1920, 10278, 267, 543, 814, 513, 10935, 19856, 563, 2467, 616, 849, 513, 1297, 540, 2025, 9553, 14788, 338, 602, 596, 666, 8495, 269, 4438, 519, 4154, 5599, 5736, 267, 2620, 7299, 14788, 338, 941, 25653, 547, 3914, 4154, 12074, 269, 634, 9553, 14788, 338, 616, 3833, 2620, 267, 543, 666, 581, 513, 5906, 1747, 547, 3643, 563, 2467, 616, 849, 7899, 540, 2025, 543, 3140, 5656, 547, 1294, 538, 2142, 3663, 10290, 269, 634, 4884, 814, 513, 3638, 1686, 267, 1519, 476, 3953, 2817, 11565, 7396, 5656, 269, 901, 814, 1500, 621, 835, 540, 15117, 779, 1655, 25535, 5703, 8978, 4154, 5599, 10034, 563, 2252, 596, 2461, 3168, 585, 513, 811, 27093, 3802, 267, 596, 1522, 899, 547, 2119, 519, 2947, 10275, 559, 2210, 516, 717, 5282, 2480, 21329, 20000, 269, 901, 29271, 3802, 3091, 29271, 5784, 540, 519, 27726, 24781, 563, 2791, 666, 849, 1491, 538, 519, 2142, 3663, 10290, 547, 8235, 23715, 2536, 323, 12532, 267, 799, 2882, 1896, 14869, 15113, 269, 901, 3802, 3217, 827, 476, 2412, 3764, 547, 2347, 269, 898, 2882, 513, 3595, 4155, 543, 2582, 3950, 269, 634, 2619, 568, 849, 1134, 1129, 14006, 539, 269, 634, 3802, 568, 2915, 7874, 267, 855, 5243, 616, 1152, 15868, 1282, 8285, 543, 14914, 9397, 563, 289, 2465, 577, 10290, 568, 513, 29271, 267, 2915, 7888, 4884, 538, 5087, 3887, 6141, 15117, 269, 898, 779, 4092, 2282, 15651, 541, 520, 3279, 543, 24761, 269, 898, 779, 513, 476, 275, 5662, 5397, 689, 24332, 267, 543, 814, 513, 5763, 540, 4277, 24738, 543, 18845, 563, 289, 2465, 577, 10290, 15117, 568, 513, 17681, 2370, 4884, 269, 898, 568, 513, 1390, 1747, 547, 3643, 267, 2436, 621, 779, 585, 513, 1554, 7552, 610, 513, 15964, 1205, 12537, 269, 898, 814, 513, 8799, 3575, 540, 2025, 543, 1007, 269, 898, 568, 849, 1753, 547, 930, 4277, 3140, 4609, 543, 15882, 563, 3080, 540, 519, 8711, 568, 519, 2142, 3663, 10290, 19866, 5244, 267, 799, 3568, 513, 1297, 540, 3140, 2798, 540, 1719, 269, 898, 568, 519, 3135, 540, 513, 3126, 540, 1216, 17517, 21433, 689, 11354, 15880, 269, 898, 568, 849, 1753, 547, 606, 11141, 1297, 540, 6561, 7396, 5656, 267, 1034, 540, 799, 941, 3710, 1282, 519, 476, 5908, 271, 338, 563, 5194, 1590, 268, 5408, 16007, 568, 654, 8962, 1117, 22484, 269, 898, 729, 606, 1271, 851, 540, 519, 4154, 5599, 1686, 540, 5245, 269, 898, 729, 1031, 547, 1349, 782, 12320, 658, 4154, 689, 519, 5757, 25318, 269, 769 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1018, 621, 1131, 581, 899, 547, 4865, 9589, 7060, 267, 7237, 26704, 7068, 267, 610, 1995, 824, 16447, 569, 9259, 286, 4270, 267, 891, 2609, 616, 693, 519, 2295, 540, 1082, 1390, 2984, 267, 4249, 267, 543, 5559, 553, 2429, 1686, 269, 1924, 1577, 781, 7832, 593, 713, 22539, 3460, 1927, 2439, 265, 2608, 2608, 692, 8893, 476, 272, 281, 1548, 568, 18903, 888, 10900, 692, 300, 20723, 4016, 547, 519, 946, 540, 16750, 4229, 610, 5759, 602, 3100, 7543, 610, 1219, 344, 2067, 4031, 269, 1452, 7060, 1419, 4125, 1651, 656, 725, 267, 12738, 267, 610, 2027, 3615, 269, 1280, 1383, 267, 4952, 1373, 2111, 547, 5641, 28542, 1210, 513, 18389, 267, 899, 16452, 25260, 1281, 538, 808, 14389, 269, 18007, 1782, 781, 2442, 1433, 3126, 256, 2107, 1589, 827, 18557, 781, 595, 785, 699, 12848, 267, 4171, 18912, 5601, 15948, 21810, 513, 22481, 883, 513, 31566, 1210, 1200, 9589, 18389, 269, 10801, 3332, 543, 12416, 267, 9059, 5713, 1585, 5301, 31539, 6061, 2042, 547, 2870, 14784, 11652, 3091, 11995, 7399, 585, 9159, 6386, 780, 2162, 11314, 692, 8620, 707, 1378, 1915, 609, 2189, 9589, 5759, 269, 14674, 875, 789, 9715, 741, 7060, 267, 1018, 2186, 540, 9059, 789, 4865, 267, 543, 875, 789, 946, 621, 547, 1764, 741, 1158, 269, 9523, 707, 13144, 609, 707, 15032, 2439, 265, 2608, 2608, 692, 8893, 476, 273, 281, 5548, 1324, 883, 8111, 11499, 1143, 454, 5785, 21387, 21841, 11499, 1143, 9388, 609, 9988, 267, 2621, 267, 610, 9259, 3544, 519, 7706, 540, 3621, 7778, 269, 898, 2882, 15293, 338, 267, 30632, 2231, 267, 941, 342, 11510, 267, 543, 824, 26704, 7919, 1336, 538, 12563, 2145, 525, 543, 17691, 2066, 4529, 269, 12267, 5473, 16750, 2609, 7148, 883, 938, 7279, 827, 519, 7164, 543, 1711, 13858, 4694, 12742, 2407, 540, 24457, 543, 4898, 780, 2690, 3236, 267, 2015, 5261, 9956, 781, 1404, 834, 21547, 10106, 2437, 799, 2934, 1614, 12357, 26734, 1634, 607, 519, 1284, 2273, 590, 8651, 269, 1358, 3589, 16077, 781, 2104, 543, 3310, 1010, 3527, 267, 3056, 547, 13249, 4539, 269, 1635, 6220, 971, 16750, 3334, 267, 9956, 8591, 3178, 543, 6988, 547, 519, 4729, 1247, 3695, 4798, 899, 20440, 267, 12556, 267, 543, 1863, 786, 780, 2162, 11314, 692, 16521, 513, 16750, 13442, 630, 324, 3052, 1421, 544, 1069, 4660, 267, 15743, 267, 943, 14535, 1460, 264, 543, 2328, 513, 2110, 6429, 10023, 873, 15025, 609, 513, 1480, 1915, 269, 6333, 875, 741, 4527, 5540, 519, 3510, 543, 1018, 5048, 1522, 581, 24829, 998, 741, 7237, 780, 265, 2608, 2608, 692, 8893, 476, 274, 281, 10289, 23205, 16161, 543, 922, 17583, 547, 30765, 454, 24801, 15365, 293, 565, 16161, 5161, 540, 2757, 9821, 267, 4978, 267, 8941, 267, 543, 2853, 3838, 1369, 2950, 269, 3509, 5929, 5559, 553, 6451, 2609, 540, 18691, 547, 1921, 609, 9458, 543, 2671, 2686, 2418, 269, 1280, 1383, 267, 3504, 5259, 32333, 1419, 12286, 10971, 543, 12325, 6508, 689, 13299, 267, 4543, 1004, 1174, 5837, 4245, 543, 6848, 8155, 269, 6684, 267, 5545, 715, 2129, 14364, 12346, 8185, 593, 12563, 2145, 525, 543, 5289, 2035, 267, 3246, 1350, 31663, 525, 883, 3567, 781, 3638, 6561, 780, 3528, 4974, 18691, 538, 12416, 267, 649, 2744, 4030, 883, 1114, 4529, 543, 5660, 519, 8471, 9029, 540, 15851, 2984, 269, 5015, 267, 1620, 3140, 2796, 2636, 721, 547, 5659, 519, 4720, 540, 10565, 3029, 543, 2553, 1031, 676, 24420, 23412, 780, 2162, 11314, 692, 10932, 513, 2199, 12563, 9661, 610, 10828, 543, 2697, 1022, 2609, 540, 9059, 267, 16750, 1143, 267, 610, 18691, 269, 3973, 267, 3082, 519, 1650, 883, 513, 2413, 7097, 5078, 585, 3942, 2773, 269, 2142, 2386, 547, 8190, 519, 9759, 540, 519, 3312, 9661, 1247, 1818, 621, 4143, 543, 2502, 585, 4207, 9458, 780, 265, 2608, 2608, 692, 9961, 713, 1770, 267, 649, 5490, 4514, 883, 519, 26441, 540, 9059, 267, 16750, 1143, 267, 543, 18691, 538, 12416, 269, 1306, 649, 2263, 1585, 3344, 543, 1806, 267, 3314, 602, 891, 2609, 4196, 607, 3532, 2645, 585, 9423, 267, 3850, 5830, 547, 4739, 8903, 6386, 4904, 609, 10761, 267, 9814, 267, 543, 7096, 2495, 269, 8414, 1565, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 7021, 331, 867, 23397, 1575, 30098, 5194, 4396, 1773, 698, 3511, 626, 16654, 3209, 267, 865, 2503, 1175, 2614, 1469, 547, 1832, 519, 1650, 3001, 543, 1100, 7050, 3137, 610, 6445, 518, 269, 3683, 331, 867, 814, 606, 1202, 2033, 2179, 540, 1158, 2679, 543, 3197, 10080, 267, 849, 621, 781, 513, 18912, 678, 3578, 1652, 543, 22266, 1650, 269, 2311, 1101, 646, 2219, 267, 5243, 1058, 581, 609, 5243, 267, 899, 1010, 695, 1460, 542, 326, 267, 26612, 769, 1931, 547, 5347, 936, 519, 13337, 267, 2696, 3081, 602, 646, 666, 556, 4532, 7568, 622, 29110, 5984, 883, 513, 1158, 540, 14810, 267, 543, 1450, 29110, 5984, 547, 3142, 26612, 634, 1773, 636, 2349, 1601, 558, 4210, 867, 12142, 267, 932, 2426, 3733, 2426, 269, 634, 9835, 7732, 540, 9294, 541, 1157, 568, 513, 2146, 530, 5942, 15217, 6131, 547, 519, 744, 23615, 299, 16704, 630, 11210, 359, 12530, 376, 12530, 494, 12530, 376, 12530, 511, 12530, 376, 12530, 487, 264, 3126, 607, 513, 2898, 269, 3683, 331, 867, 281, 11730, 476, 1724, 910, 634, 6022, 611, 514, 540, 519, 10513, 8003, 4083, 269, 901, 568, 519, 1592, 540, 9452, 1488, 14369, 543, 741, 7222, 24096, 267, 585, 519, 3683, 331, 867, 3126, 262, 1292, 1650, 1467, 269, 2991, 1010, 2887, 267, 519, 16099, 945, 729, 11397, 609, 1010, 7385, 543, 8250, 27416, 1010, 8823, 540, 1776, 1158, 269, 22478, 281, 594, 723, 1175, 4121, 602, 519, 1985, 4320, 538, 3683, 331, 867, 786, 581, 21177, 713, 4832, 269, 12085, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 300, 20723, 267, 8111, 11499, 1143, 267, 543, 23205, 16161, 257, 607, 851, 540, 834, 11403, 24717, 1315, 9956, 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, 519, 2295, 540, 6115, 667, 5861, 1421, 1079, 2828, 267, 5981, 543, 16092, 267, 2893, 1524, 585, 12899, 693, 741, 5172, 1642, 328, 269, 5637, 5249, 607, 3656, 804, 518, 802, 585, 1114, 1876, 10909, 267, 855, 789, 2141, 1500, 942, 547, 6952, 909, 1282, 741, 11112, 4374, 269, 1306, 789, 544, 684, 3481, 593, 741, 32409, 267, 5981, 15504, 856, 513, 5299, 540, 519, 1715, 3840, 8648, 543, 19942, 621, 547, 16092, 780, 257, 5970, 596, 2938, 713, 8119, 5981, 4280, 267, 26378, 519, 4395, 2985, 269, 834, 300, 340, 11839, 814, 513, 1592, 540, 2055, 646, 6499, 547, 2307, 11686, 3823, 519, 6576, 16785, 3010, 297, 600, 773, 1085, 10165, 519, 2376, 543, 6659, 606, 32071, 992, 269, 834, 4322, 3100, 7168, 22394, 269, 594, 4898, 1946, 646, 4769, 1405, 979, 2786, 547, 519, 1448, 3010, 20694, 695, 745, 13949, 269, 834, 28646, 646, 4941, 547, 2285, 11686, 930, 530, 24513, 548, 4055, 286, 2107, 6148, 891, 616, 1175, 3355, 2055, 1354, 3478, 547, 519, 6491, 1399, 3766, 761, 1399, 8631, 3010, 7021, 519, 1985, 5662, 267, 519, 6643, 5828, 2509, 824, 3584, 910, 960, 575, 1601, 760, 267, 15964, 4566, 267, 543, 1256, 513, 12699, 7521, 936, 799, 15705, 7260, 1185, 519, 1655, 3280, 10177, 1188, 269, 1809, 1354, 6028, 267, 5981, 15054, 513, 4161, 547, 16092, 780, 257, 23763, 547, 1294, 945, 666, 2097, 909, 609, 1732, 2055, 982, 16334, 11839, 1705, 8119, 5981, 6700, 269, 834, 9617, 585, 1187, 267, 1577, 781, 2161, 938, 19858, 7817, 568, 11686, 269, 1284, 1223, 1451, 1945, 1007, 15323, 297, 600, 773, 1989, 514, 2740, 269, 834, 306, 675, 256, 2913, 803, 795, 582, 9553, 1524, 2731, 2656, 1701, 2701, 3533, 31163, 16940, 1200, 2093, 5196, 513, 23040, 7219, 780, 12988, 693, 741, 9757, 13646, 267, 789, 1142, 18705, 741, 8638, 14384, 269, 2334, 10543, 267, 789, 1558, 1586, 693, 513, 2199, 1435, 547, 5635, 4967, 269, 1358, 22121, 741, 4574, 543, 3323, 2542, 16965, 780, 20694, 3459, 267, 834, 9223, 835, 281, 1412, 3963, 4010, 1705, 596, 3595, 6276, 22067, 344, 286, 262, 7427, 5346, 2243, 281, 1412, 1432, 1909, 1705, 30374, 4937, 590, 32268, 1404, 538, 713, 3375, 286, 262, 5016, 297, 600, 773, 21330, 1237, 1324, 569, 1247, 521, 6235, 1200, 4235, 269, 3973, 1352, 1224, 1200, 338, 281, 834, 262, 12441, 707, 5859, 723, 1022, 3768, 529, 743, 2216, 3346, 610, 2792, 609, 6739, 8387, 1282, 519, 476, 1001, 277, 9550, 4783, 286, 262, 1403, 9811, 267, 5225, 14574, 7389, 267, 1004, 3238, 267, 543, 1543, 5941, 3010, 5445, 4797, 2469, 1394, 543, 8521, 2394, 789, 6603, 519, 1439, 540, 1312, 8638, 269, 2368, 540, 741, 2055, 8272, 549, 1042, 1346, 538, 519, 12924, 307, 2376, 282, 1866, 941, 7357, 3312, 269, 1635, 1287, 267, 789, 7691, 875, 1454, 2219, 4682, 883, 2870, 2500, 2055, 2966, 547, 29360, 2312, 4267, 780, 1103, 519, 2395, 1310, 267, 1312, 1849, 518, 802, 7948, 1405, 948, 855, 5469, 9283, 538, 741, 5967, 532, 1983, 269, 4256, 20148, 525, 3576, 4063, 1932, 267, 26471, 873, 1164, 3613, 1389, 2665, 5473, 7198, 11042, 269, 3414, 7874, 6735, 267, 789, 4121, 3407, 4245, 10858, 3564, 3656, 5468, 1107, 1373, 5730, 267, 10770, 267, 28450, 2943, 7682, 633, 950, 2556, 780, 4913, 267, 972, 729, 849, 513, 3992, 538, 21548, 269, 6736, 4947, 909, 609, 9583, 27162, 615, 2055, 267, 9444, 10645, 5837, 27166, 6862, 15034, 16334, 11839, 540, 22424, 564, 775, 269, 5502, 267, 789, 17019, 519, 6988, 540, 1483, 8996, 3871, 1141, 5013, 5749, 1405, 2141, 3551, 267, 18144, 9597, 5652, 267, 543, 5168, 3006, 16148, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 2108, 8923, 2626, 519, 1739, 2243, 281, 3367, 519, 1739, 2796, 543, 3442, 519, 2953, 4781, 547, 2626, 519, 2243, 269, 12745, 281, 654, 23808, 5058, 307, 2177, 2443, 13751, 4966, 5641, 8969, 13638, 593, 513, 1592, 540, 2055, 519, 2027, 8480, 1625, 19959, 569, 6499, 547, 2307, 5518, 18496, 11686, 267, 6031, 789, 1131, 2503, 519, 25982, 21991, 12460, 547, 2307, 811, 543, 811, 11329, 2055, 269, 634, 1715, 3840, 8648, 3370, 519, 1592, 540, 476, 4510, 2055, 621, 1767, 2027, 8480, 7917, 16334, 11839, 4566, 547, 10460, 547, 11686, 607, 851, 540, 1010, 7634, 883, 6739, 13779, 538, 519, 476, 1001, 277, 9550, 269, 634, 11356, 4080, 602, 519, 1592, 729, 16432, 676, 11686, 781, 17864, 1759, 593, 2055, 602, 941, 1224, 547, 873, 676, 2027, 8480, 22602, 269, 634, 7361, 1930, 25804, 2055, 2039, 689, 14511, 827, 11686, 781, 20590, 540, 5449, 3084, 3354, 9666, 518, 7812, 674, 14979, 333, 543, 5449, 31440, 8689, 6276, 22067, 344, 267, 547, 2489, 28780, 883, 1018, 11686, 6785, 827, 16957, 11558, 1063, 1010, 476, 1001, 277, 16232, 5859, 543, 6576, 269, 2755, 519, 1592, 9356, 519, 9232, 692, 763, 1650, 1058, 11200, 998, 519, 3197, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 269, 634, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 6092, 5149, 281, 645, 13308, 645, 9169, 300, 538, 11470, 692, 8702, 547, 938, 3408, 540, 19636, 1143, 543, 645, 9169, 300, 630, 321, 1180, 720, 267, 9015, 267, 17282, 267, 19169, 267, 8909, 1143, 267, 11792, 5255, 1143, 264, 1369, 519, 2796, 540, 5708, 256, 6969, 649, 4685, 883, 891, 3584, 267, 1577, 781, 12172, 930, 2474, 602, 1522, 581, 1007, 547, 596, 780, 1262, 289, 13308, 4995, 9861, 2111, 547, 5968, 2770, 1836, 1210, 1079, 4654, 269, 1280, 1383, 267, 2576, 945, 14753, 1312, 2296, 543, 5053, 8449, 1134, 568, 2808, 19636, 780, 1262, 289, 9169, 300, 4995, 589, 3099, 540, 2144, 5328, 2853, 5473 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1620, 540, 875, 11763, 3676, 616, 1644, 547, 1875, 10919, 27809, 3676, 630, 301, 7374, 338, 264, 814, 7960, 936, 942, 269, 2060, 1082, 2591, 547, 6029, 519, 4276, 1063, 15451, 6937, 543, 715, 7374, 338, 936, 519, 2250, 2540, 267, 519, 2856, 729, 9738, 602, 1034, 11763, 3676, 616, 849, 8650, 10108, 543, 602, 5312, 3676, 723, 1875, 17126, 1190, 2959, 630, 302, 685, 3519, 24335, 1696, 620, 1421, 476, 1220, 277, 1040, 769, 519, 476, 3192, 271, 338, 543, 476, 2735, 271, 338, 267, 713, 3206, 3459, 547, 11457, 950, 4477, 545, 14385, 28894, 9461, 729, 1336, 547, 16578, 23441, 6553, 630, 300, 6702, 718, 1696, 620, 1421, 476, 2735, 276, 1070, 543, 1082, 824, 3095, 1137, 3459, 547, 581, 6534, 267, 1519, 1480, 13099, 650, 558, 8785, 543, 17818, 2860, 630, 295, 611, 2917, 267, 476, 1220, 277, 282, 22210, 9116, 6953, 691, 2006, 1696, 620, 1421, 476, 1220, 279, 1070, 17537, 645, 543, 595, 8290, 543, 5312, 6797, 2068, 630, 295, 611, 2917, 267, 476, 1220, 277, 1070, 543, 16907, 7758, 807, 3276, 326, 323, 528, 2536, 328, 543, 5312, 25425, 12263, 630, 17556, 699, 1696, 620, 1421, 476, 1220, 275, 1040, 1452, 3621, 8906, 838, 13899, 519, 1646, 540, 811, 2500, 6604, 543, 2126, 3292, 602, 2047, 6098, 519, 3676, 543, 10710, 9118, 2729, 269, 2060, 971, 3395, 2963, 267, 3744, 2221, 3494, 602, 513, 1713, 6712, 540, 5312, 3676, 949, 581, 2404, 609, 17973, 543, 5563, 563, 4407, 972, 814, 1044, 3395, 6284, 540, 519, 4560, 540, 3095, 1137, 1063, 11763, 3676, 543, 715, 7374, 338, 267, 519, 1079, 4610, 3136, 547, 581, 9678, 689, 1142, 824, 267, 609, 519, 1079, 26441, 1419, 6462, 676, 5094, 7616, 12535, 267, 6594, 1210, 28836, 1382, 16097, 267, 543, 8032, 676, 7299, 1072, 4507, 543, 3292, 269, 901, 568, 7282, 607, 8623, 12515, 540, 11763, 3676, 543, 715, 7374, 338, 2221, 616, 5051, 2458, 4575, 593, 513, 2518, 4336, 267, 609, 32117, 4539, 540, 9019, 543, 24896, 602, 616, 26405, 547, 1860, 5458, 2338, 540, 1004, 538, 519, 4947, 5756, 630, 300, 4673, 529, 1696, 620, 1421, 476, 1001, 274, 1040, 634, 3666, 540, 519, 2518, 11411, 540, 2068, 568, 13346, 4724, 454, 301, 7374, 338, 267, 609, 2810, 2338, 540, 1970, 268, 543, 1647, 13867, 2477, 7680, 513, 5595, 11411, 540, 11763, 3676, 543, 715, 7374, 338, 630, 297, 600, 2581, 1696, 620, 1421, 476, 1001, 279, 1040, 769, 1249, 267, 715, 7374, 338, 1860, 1004, 538, 1970, 268, 543, 1647, 13867, 2477, 25409, 267, 1141, 5111, 476, 3953, 2929, 1004, 616, 12955, 689, 715, 7374, 338, 267, 609, 5176, 3368, 540, 1346, 7972, 9648, 1354, 519, 2085, 540, 476, 3583, 630, 21766, 267, 476, 1001, 279, 321, 1916, 763, 19427, 540, 11763, 3676, 543, 715, 7374, 338, 568, 4742, 811, 7805, 676, 513, 26424, 540, 2188, 269, 32501, 6087, 1312, 1004, 543, 11763, 3676, 547, 2951, 24847, 1472, 519, 1158, 267, 1247, 4028, 20012, 543, 2810, 954, 30447, 4721, 1851, 3425, 267, 2831, 267, 2371, 267, 543, 519, 1604, 616, 6117, 519, 6771, 540, 11763, 3676, 543, 7700, 547, 715, 7374, 5829, 4220, 630, 8867, 517, 267, 476, 1220, 279, 282, 1635, 326, 321, 329, 1120, 267, 476, 1001, 273, 1040, 7025, 543, 6197, 2188, 971, 607, 8192, 3270, 616, 13302, 15451, 4763, 538, 519, 1480, 22435, 543, 2810, 715, 7374, 338, 543, 715, 7374, 1981, 2188, 630, 311, 340, 543, 26427, 267, 476, 1001, 276, 282, 2701, 4148, 514, 1696, 620, 1421, 476, 1001, 278, 282, 9291, 902, 2917, 1696, 620, 1421, 476, 1001, 279, 1040, 634, 19427, 568, 849, 4742, 811, 7805, 19962, 547, 8441, 538, 7636, 2553, 543, 6375, 1108, 267, 607, 1134, 607, 2528, 2409, 267, 8047, 2029, 267, 543, 16917, 8344, 2553, 602, 616, 26500, 519, 3095, 1137, 1063, 17973, 543, 715, 7374, 338, 269, 1717, 267, 16097, 543, 9382, 2066, 891, 2553, 1590, 581, 29506, 1242, 543, 13387, 547, 2327, 4570, 543, 6325, 2164, 630, 302, 685, 3519, 24335, 1696, 620, 1421, 476, 1220, 277, 1916, 763, 16917, 8344, 5912, 543, 3621, 8441, 616, 20747, 2590, 519, 2757, 3515, 1063, 11763, 3676, 543, 715, 7374, 338, 269, 634, 4780, 7217, 6384, 1851, 17973, 267, 5563, 267, 715, 7374, 338, 267, 3339, 1072, 8647, 267, 543, 3838, 1981, 2188, 616, 1950, 543, 23091, 269, 634, 2963, 21269, 513, 2647, 8552, 269, 2368, 1382, 2982, 11763, 3676, 607, 1373, 513, 1981, 3815, 585, 3384, 715, 7374, 338, 630, 5408, 3848, 476, 274, 1070, 1247, 519, 9258, 4276, 568, 849, 2938, 609, 715, 7374, 338, 1373, 2404, 609, 519, 1646, 543, 10335, 540, 11763, 3676, 630, 5408, 3848, 476, 275, 1040, 5564, 574, 27225, 885, 5473, 1585, 32545, 540, 11763, 3676, 543, 715, 7374, 338, 849, 1039, 1776, 4494, 540, 6988, 269, 5047, 267, 519, 32677, 566, 540, 519, 22435, 27137, 607, 689, 2732, 267, 824, 6197, 2188, 267, 543, 946, 540, 11216, 1765, 13757, 849, 1044, 3254, 547, 1860, 1480, 8647, 543, 1223, 581, 513, 1981, 3815, 585, 519, 1646, 540, 715, 7374, 338, 630, 5408, 3848, 476, 276, 1040, 769, 1249, 267, 19421, 540, 5312, 3676, 723, 2907, 1044, 2404, 609, 519, 1480, 22435, 267, 930, 540, 799, 723, 1044, 23174, 998, 22435, 12879, 538, 3662, 3631, 630, 313, 26907, 1696, 620, 1421, 476, 1001, 279, 282, 1160, 2758, 1696, 620, 1421, 476, 1001, 280, 1040, 634, 2361, 540, 25102, 2438, 1382, 2982, 875, 519, 16799, 1063, 3676, 568, 8032, 676, 6211, 267, 8965, 267, 5626, 267, 543, 1514, 4205, 602, 22652, 519, 1198, 540, 2068, 1700, 323, 1047, 848, 6384, 593, 1480, 1072, 630, 306, 5424, 1696, 620, 1421, 476, 1001, 278, 264, 630, 5408, 3848, 476, 273, 1916, 10932, 814, 1152, 13175, 547, 7866, 519, 11999, 6988, 540, 519, 15451, 1158, 543, 519, 6708, 547, 799, 17973, 2170, 609, 3425, 543, 3310, 1480, 1072, 269, 15775, 513, 1732, 1620, 540, 891, 3095, 1137, 543, 454, 8455, 3101, 3444, 5498, 28118, 21769, 1131, 948, 2697, 2417, 1382, 14422, 267, 1020, 1732, 6098, 6604, 543, 2126, 7459, 543, 4507, 267, 543, 15407, 4540, 1072, 1949, 547, 3927, 4431, 547, 1312, 11763, 3676, 543, 715, 7374, 338, 547, 6038, 2569, 519, 1857, 1072, 1764, 543, 11411, 540, 519, 19427, 689, 519, 2199, 547, 3084, 547, 2518, 2157, 563, 4002, 4873, 476, 1556, 543, 4873, 476, 1321, 267, 476, 1001, 280, 267, 513, 4058, 12233, 896, 519, 513, 22273, 1182, 540, 519, 17072, 593, 19287, 658, 21784, 338, 693, 519, 2817, 6298, 12562, 540, 7070, 267, 7177, 267, 543, 6925, 4371, 513, 476, 272, 269, 276, 6377, 1857, 13186, 693, 634, 18842, 651, 325, 11839, 7690, 538, 1715, 3840, 4975, 267, 11331, 27915, 13560, 590, 3342, 281, 634, 20593, 10885, 540, 29956, 15302, 543, 6348, 10919, 27809, 15302, 269, 272, 8490, 593, 519, 3105, 960, 540, 519, 8468, 630, 296, 6865, 267, 476, 1220, 275, 267, 476, 1001, 275, 1070, 713, 13186, 729, 7036, 539, 547, 2263, 519, 3395, 1620, 540, 875, 519, 16799, 1063, 3425, 543, 17973, 5540, 3984, 17550, 543, 3123, 715, 7374, 338, 269, 8834, 30605, 345, 752, 267, 7022, 540, 19889, 10890, 19137, 945, 669, 8529, 713, 13186, 267, 7150, 602, 519, 13186, 30242, 547, 1450, 5171, 547, 2744, 513, 4514, 1620, 540, 519, 27795, 1063, 11763, 3676, 543, 715, 7374, 338, 267, 1519, 875, 713, 27795, 2488, 1007, 3255, 585, 6604, 543, 2126, 269, 715, 1511, 523, 681, 7776, 267, 5883, 8689, 585, 1072, 543, 9972, 25129, 547, 519, 7022, 693, 634, 18842, 651, 325, 11839, 7690, 267, 10630, 602, 646, 2501, 689, 513, 942, 538, 799, 519, 1629, 2117, 566, 1063, 3868, 762, 3676, 543, 715, 7374, 338, 729, 2312, 267, 538, 4334, 547, 519, 1445, 540, 713, 13186, 269, 3245, 1010, 5133, 267, 646, 7074, 602, 646, 568, 5461, 538, 875, 547, 3142, 519, 1655, 1239, 543, 8441, 538, 1239, 2257, 547, 2146, 1072, 538, 513, 1259, 602, 13123, 519, 6932, 7941, 1063, 1004, 945, 723, 1569, 547, 1239, 607, 1134, 607, 1732, 1072, 543, 1004, 1510, 1569, 547, 1239, 267, 945, 4043, 547, 723, 5266, 25013, 1072, 269, 681, 7776, 4330, 713, 13186, 607, 606, 4316, 547, 8831, 519, 1445, 3564, 1072, 1416, 547, 513, 6626, 1523, 540, 1072, 267, 547, 513, 1445, 593, 519, 2146, 267, 543, 547, 513, 1445, 593, 28043, 519, 1239, 7941, 563, 17582, 7749, 10529, 543, 1865, 1218, 8329, 5380, 689, 2229, 267, 24243, 267, 543, 519, 4357, 543, 18758, 9922, 269, 13018, 267, 5171, 5941, 519, 1739, 3584, 1282, 519, 13186, 273, 912, 272, 634, 4058, 12233, 779, 1909, 729, 3908, 547, 4058, 519, 13186, 267, 543, 519, 18619, 540, 513, 22544, 729, 5423, 676, 519, 13186, 29037, 324, 2720, 607, 513, 23610, 5758, 540, 1018, 7018, 693, 519, 13186, 269, 32276, 267, 7840, 267, 543, 8369, 6829, 616, 1346, 540, 1367, 1459, 619, 543, 5171, 267, 543, 616, 711, 8209, 31045, 610, 20240, 676, 519, 2817, 6298, 12562, 540, 7070, 267, 7177, 267, 543, 6925, 267, 543, 789, 1058, 711, 581, 1526, 29471, 607, 10452, 1022, 1895, 13618, 563, 268, 7351, 1702, 593, 519, 1634, 543, 16143, 21465, 12205, 1063, 2890, 268, 13060, 543, 5312, 3676, 543, 2175, 267, 607, 1134, 607, 2404, 2152, 3248, 268, 634, 9687, 1620, 540, 875, 519, 22435, 5540, 519, 3339, 12214, 8647, 540, 3425, 543, 875, 891, 4205, 4268, 4470, 593, 519, 2551, 267, 13664, 4087, 267, 543, 824, 6211, 610, 2825, 2188, 3248, 268, 3194, 2877, 547, 2417, 1174, 519, 2078, 1063, 2890, 268, 13060, 543, 5312, 3676, 543, 12214, 3252, 3248, 268, 19662, 585, 3384, 1007, 4485, 547, 2061, 267, 3713, 267, 543, 11574, 5312, 3676, 543, 547, 2569, 741, 1857, 1072, 1764, 543, 11411, 3248, 268, 28981, 12967, 2409, 543, 2645, 607, 1134, 607, 1353, 6272, 1373, 1031, 547, 2263, 6402, 1063, 5312, 3676, 543, 11763, 3676, 282, 543, 454, 268, 31469, 547, 15407, 3444, 5498, 28118, 21769, 543, 2736, 1524, 521, 3342, 1851, 1585, 8639, 689, 1382, 547, 2259, 563, 1103, 13076, 609, 519, 4507, 540, 519, 2817, 6298, 12562, 267, 519, 13186, 1705, 711, 3801, 547, 3715, 1022, 8753, 610, 7840, 827, 2115, 543, 2104, 8846, 267, 2519, 3079, 593, 1344, 4843, 267, 2055, 6659, 267, 543, 9283, 6700, 676, 1367, 13186, 5171, 269, 3848, 476, 273, 2882, 8711, 689, 519, 13186, 779, 1079, 1883, 16694, 14245, 602, 2919, 519, 24117, 585, 4780, 7217, 2962, 585, 2458, 4575, 8623, 12515, 543, 25102, 12515, 540, 11763, 3676, 543, 715, 7374, 338, 269, 30667, 476, 274, 543, 476, 275, 2263, 519, 1699, 1533, 540, 519, 2257, 543, 6932, 1382, 593, 519, 19427, 540, 11763, 3676, 543, 715, 7374, 338, 269, 13018, 267, 3848, 476, 274, 2934, 2013, 2090, 593, 519, 2009, 12205, 540, 11763, 3676, 543, 17973, 3056, 547, 519, 1646, 540, 715, 7374, 338, 267, 1519, 519, 1909, 540, 5711, 9190, 3968, 538, 12216, 779, 2068, 267, 519, 9295, 540, 519, 9210, 7322, 5174, 1551, 3644, 547, 519, 1696, 5735, 540, 16991, 543, 12982, 3676, 267, 543, 519, 1198, 540, 519, 22435, 593, 1426, 11959, 269, 3848, 476, 275, 2882, 1079, 2013, 2090, 1765, 821, 593, 10894, 6794, 543, 519, 1981, 540, 4283, 545, 3968, 543, 519, 824, 267, 4780, 3101, 8623, 12515, 540, 3987, 543, 21061, 20196, 4983, 519, 4220, 602, 5312, 3676, 10460, 547, 519, 1646, 543, 10335, 540, 11763, 3676, 269, 3848, 476, 276, 6257, 519, 726, 32418, 6881, 602, 2488, 513, 6626, 5133, 593, 519, 15451, 10155, 547, 1480, 1646, 543, 8647, 267, 543, 519, 1761, 621, 3091, 585, 1007, 4485, 547, 1480, 1134, 5630, 563, 763, 11271, 27502, 3382, 2152, 593, 519, 4052, 6286, 540, 519, 19427, 1063, 11763, 3676, 543, 715, 7374, 338, 269, 3848, 476, 277, 2488, 454, 14683, 7547, 689, 519, 8470, 4901, 593, 875, 547, 13720, 519, 968, 4565, 785, 1004, 543, 519, 17707, 892, 14165, 547, 8115, 519, 521, 3342, 1063, 11763, 3676, 543, 715, 7374, 338, 538, 519, 1847, 4724, 4780, 7217, 2962, 269, 3848, 476, 278, 7710, 2994, 585, 10128, 543, 2847, 2086, 532, 1072, 1416, 6765, 3631, 543, 7459, 547, 2232, 519, 19427, 269, 3848, 476, 279, 26564, 519, 1507, 1895, 5717, 593, 1761, 2994, 543, 3527, 547, 4225, 547, 4434, 519, 1382, 16786, 543, 3927, 14377, 1382, 883, 3609, 543, 2259, 538, 519, 7525, 2165, 267, 543, 6368, 3848, 476, 280, 6799, 5075, 776, 6898, 689, 1614, 2518, 1072, 4966, 593, 741, 5784, 540, 1283, 14422, 585, 1985, 3268 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 14188, 596, 585, 707, 5955, 454, 5978, 15769, 786, 2689, 1018, 596, 4076, 11643, 543, 3313, 2436, 547, 23590, 519, 2376, 563, 9596, 827, 713, 1888, 538, 891, 4930, 912, 268, 769, 11114, 3332, 281, 7216, 918, 800, 385, 493, 281, 476, 280, 3374, 2781, 547, 519, 476, 1321, 628, 2540, 454, 298, 574, 10658, 27691, 1731, 588, 17311, 547, 2328, 538, 519, 8106, 7154, 543, 3576, 607, 1010, 2203, 519, 25230, 534, 17374, 269, 769, 4334, 267, 13690, 670, 342, 836, 8862, 385, 493, 333, 543, 932, 385, 493, 978, 15616, 4149, 836, 8179, 513, 3332, 602, 14129, 4190, 535, 969, 550, 4082, 19403, 2859, 0, 1805, 571, 1380, 779, 20100, 568, 1851, 519, 1568, 602, 1305, 519, 1576, 540, 2575, 538, 519, 2063, 2540, 563, 17780, 593, 30546, 8187, 324, 779, 30443, 573, 1404, 267, 621, 568, 606, 7920, 3408, 540, 519, 6428, 727, 1650, 269, 4706, 2040, 696, 6681, 13047, 543, 19762, 560, 1537, 1603, 694, 564, 1127, 543, 24421, 919, 607, 18135, 1380, 8580, 999, 909, 519, 30468, 540, 4173, 617, 779, 18348, 5480, 563, 15463, 617, 267, 519, 22530, 25875, 12470, 564, 8573, 17526, 540, 519, 4936, 11662, 540, 7225, 2801, 320, 267, 814, 9310, 1010, 7015, 779, 7385, 267, 4173, 617, 5362, 269, 17652, 19952, 267, 4173, 617, 1185, 1010, 7015, 18272, 3990, 269, 3767, 646, 568, 4742, 5051, 18930, 539, 609, 1010, 1900, 1673, 5922, 267, 6428, 727, 563, 11847, 2176, 540, 891, 2621, 723, 4547, 4173, 617, 543, 4173, 617, 5362, 883, 4655, 609, 519, 8449, 30442, 808, 758, 3570, 534, 267, 606, 10841, 2045, 5075, 776, 945, 10905, 11240, 725, 827, 519, 12625, 540, 519, 19416, 7225, 24191, 31050, 609, 538, 557, 551, 1161, 1996, 4173, 617, 5362, 543, 16322, 2886, 540, 1200, 9393, 779, 2669, 269, 1955, 1440, 2581, 539, 676, 4173, 617, 538, 513, 771, 4310, 28250, 1181, 7923, 547, 519, 19289, 267, 808, 758, 3570, 534, 568, 9856, 539, 676, 7980, 543, 4767, 676, 513, 1895, 540, 29595, 9294, 732, 5886, 267, 13794, 540, 519, 1007, 31050, 563, 2026, 4173, 617, 6585, 513, 21649, 267, 23902, 4599, 1054, 267, 519, 1762, 18279, 540, 1010, 15050, 267, 588, 4100, 1279, 5944, 693, 6428, 727, 543, 6645, 4173, 617, 5362, 779, 2985, 540, 1010, 31117, 609, 519, 27959, 779, 5898, 269, 3245, 519, 28250, 1181, 808, 758, 3570, 534, 568, 4862, 605, 8010, 532, 519, 4947, 540, 1010, 31050, 563, 21946, 727, 5526, 267, 5275, 9675, 689, 4173, 617, 779, 588, 4100, 269, 1879, 1352, 30650, 519, 5639, 540, 808, 758, 3570, 534, 1352, 568, 27278, 269, 2701, 814, 4862, 540, 519, 25197, 725, 646, 814, 1500, 1996, 1200, 3993, 543, 6487, 602, 4173, 617, 12194, 1864, 269, 6428, 727, 7569, 547, 1294, 1864, 269, 634, 7980, 2995, 1200, 602, 713, 814, 1044, 24193, 267, 855, 6428, 727, 12134, 23902, 4599, 1054, 547, 30321, 808, 758, 3570, 534, 563, 21946, 727, 568, 6678, 337, 6817, 676, 1864, 269, 1879, 808, 758, 3570, 534, 16137, 602, 1352, 568, 519, 8250, 540, 4173, 617, 5362, 646, 7140, 1010, 512, 4275, 1372, 2390, 1200, 267, 28409, 1200, 547, 1065, 550, 543, 1246, 519, 1007, 31050, 269, 6428, 727, 568, 16397, 676, 808, 758, 3570, 534, 543, 3235, 560, 5597, 9299, 2478, 538, 2490, 1010, 1560, 267, 1010, 4552, 543, 1010, 5023, 269, 1306, 1312, 6428, 727, 779, 13889, 725, 543, 808, 758, 3570, 534, 779, 3954, 9629, 725, 1831, 5051, 26525, 267, 519, 813, 6817, 23902, 4599, 1054, 19754, 5128, 269, 595, 2720, 532, 6428, 727, 267, 808, 758, 3570, 534, 18956, 338, 547, 1010, 7890, 563, 15463, 617, 5362, 267, 945, 568, 849, 22841, 676, 4173, 617, 779, 1719, 538, 6428, 727, 267, 19674, 689, 519, 21649, 269, 4173, 617, 5205, 267, 3168, 585, 1010, 1900, 1673, 5922, 269, 1325, 2819, 6213, 547, 519, 9490, 5790, 540, 519, 10543, 267, 1010, 6602, 540, 23902, 4599, 1054, 779, 1560, 4679, 1010, 2062, 321, 5317, 563, 15463, 617, 779, 9240, 5052, 4302, 8441, 547, 6428, 727, 616, 29169, 676, 519, 5639, 540, 808, 758, 3570, 534, 269, 2755, 6428, 727, 18956, 338, 2479, 2417, 883, 16563, 267, 1200, 3993, 1202, 1235, 808, 758, 3570, 534, 581, 1147, 16781, 1229, 547, 519, 7642, 945, 616, 14053, 646, 581, 9447, 883, 741, 16278, 269, 808, 758, 3570, 534, 779, 16322, 2886, 1332, 5051, 3284, 32565, 543, 4173, 617, 5362, 3587, 811, 989, 18469, 269, 4173, 617, 267, 5275, 9675, 689, 519, 1958, 549, 2286, 14784, 543, 1010, 1378, 2631, 540, 2062, 321, 5317, 267, 12134, 6428, 727, 547, 7544, 585, 1864, 269, 2701, 31439, 269, 4173, 617, 14767, 547, 9886, 1200, 1022, 6999, 952, 1352, 786, 7544, 269, 8307, 950, 1352, 2306, 1864, 2220, 792, 606, 522, 987, 547, 713, 1281, 1352, 3858, 563, 5475, 1200, 7544, 6428, 727, 7569, 607, 1200, 8007, 519, 2212, 540, 808, 758, 3570, 534, 269, 9710, 337, 1881, 543, 12922, 547, 2800, 513, 13411, 812, 267, 4173, 617, 3091, 6428, 727, 519, 1034, 2040, 696, 6681, 13344, 952, 1352, 786, 1689, 1200, 2247, 269, 2701, 267, 2705, 267, 568, 796, 7758, 550, 532, 269, 7053, 267, 4173, 617, 2636, 808, 758, 3570, 534, 547, 581, 581, 20243, 563, 4415, 519, 2212, 540, 808, 758, 3570, 534, 267, 6428, 727, 666, 693, 2063, 2285, 5639, 547, 1200, 1279, 902, 269, 4173, 617, 12981, 519, 7980, 547, 6146, 1200, 269, 0, 4910, 6342, 2282, 4182, 781, 32399, 2481, 5143, 547, 17355, 1393, 454, 3036, 10976, 6579, 4041, 267, 2836, 604, 269, 630, 4338, 264, 4534, 12079, 10118, 723, 10288, 7264, 2282, 835, 540, 519, 4182, 781, 7887, 21394, 547, 17355, 10663, 519, 1858, 267, 6031, 513, 834, 327, 1794, 731, 748, 3510, 568, 3384, 257, 1310, 606, 6595, 21383, 3118, 16094, 2144, 10757, 563, 763, 6595, 21383, 3118, 540, 519, 744, 549, 6807, 12456, 538, 8832, 4993, 1223, 3111, 1369, 606, 5662, 25793, 4770, 29252, 6360, 7297, 689, 8235, 744, 549, 6807, 267, 519, 4993, 4972, 540, 4826, 8249, 1767, 593, 10732, 12784, 563, 10144, 538, 19654, 2127, 991, 547, 4734, 519, 1858, 5612, 267, 519, 8257, 1767, 563, 302, 1553, 10118, 4505, 10732, 14129, 519, 2481, 729, 1785, 12147, 3280, 543, 1767, 972, 729, 1100, 3463, 547, 519, 1857, 563, 4910, 6342, 540, 744, 549, 6807, 267, 513, 4884, 540, 476, 1626, 267, 1822, 1004, 267, 1058, 2212, 5087, 4724, 932, 4815, 267, 543, 824, 4872, 1058, 1246, 9753, 689, 741, 2199, 1876, 11268, 8041, 267, 519, 1809, 974, 6019, 15593, 858, 781, 5604, 1767, 563, 763, 962, 18866, 6019, 8433, 540, 17073, 7896, 4280, 7264, 538, 519, 14860, 6989, 267, 1519, 6307, 338, 6807, 267, 513, 2749, 540, 476, 1321, 267, 1822, 1004, 267, 547, 17355, 10663, 543, 1491, 11507, 547, 519, 7532, 267, 5045, 267, 610, 7178, 543, 2057, 10707, 5087, 4724, 744, 549, 6807, 563, 763, 4993, 4972, 540, 4826, 8249, 1767, 621, 568, 16089, 607, 1454, 607, 476, 1911, 267, 1822, 12945, 3952, 829, 2034, 689, 519, 1292, 267, 8185, 8697, 21383, 3118, 547, 2119, 547, 8963, 519, 10720, 563, 23430, 24910, 667, 657, 8124, 6645, 519, 15762, 26963, 334, 27392, 519, 6595, 21383, 3118, 729, 15951, 547, 6023, 476, 7742, 267, 1822, 12945, 3952, 829, 2034, 267, 855, 621, 3459, 547, 1397, 8467, 10732, 693, 513, 1507, 6824, 540, 602, 269, 10046, 338, 998, 519, 21383, 3118, 8445, 539, 693, 476, 1321, 267, 7785, 12945, 3952, 829, 2034, 693, 476, 272, 513, 6230, 269, 10732, 543, 941, 1524, 547, 476, 279, 267, 1822, 12945, 3952, 829, 2034, 676, 544, 1342, 599, 563, 12850, 3459, 13576, 936, 519, 6595, 21383, 3118, 693, 519, 744, 549, 6807, 12456, 538, 8832, 4993, 593, 14349, 585, 519, 1101, 942, 538, 922, 5176, 476, 2004, 4458, 1686, 1310, 5230, 11811, 563, 308, 10811, 4624, 11761, 1750, 14954, 998, 519, 1292, 21383, 3118, 4505, 713, 3018, 267, 11488, 25098, 540, 6405, 10760, 543, 2870, 513, 476, 1220, 20356, 17489, 267, 476, 1789, 20356, 11546, 788, 8559, 602, 5170, 3395, 269, 19296, 1810, 1405, 917, 1018, 3361, 519, 13946, 2987, 267, 855, 18281, 2107, 13702, 267, 513, 22557, 2006, 585, 519, 1533, 4972, 540, 4826, 8249, 267, 1767, 621, 5526, 519, 2481, 781, 1292, 21383, 3118, 814, 11074, 1835, 22824, 1256, 1498, 621, 781, 1373, 1031, 585, 1216, 13847, 563, 10666, 476, 5611, 5195, 22583, 540, 5842, 12770, 267, 8235, 744, 549, 6807, 568, 835, 540, 4993, 781, 4102, 812, 13402, 12647, 267, 543, 519, 476, 278, 3583, 20356, 2389, 718, 744, 549, 6807, 12456, 568, 519, 4182, 781, 32399, 269, 634, 10720, 568, 513, 3844, 4062, 540, 4993, 781, 2229, 24507, 1216, 6765, 3060, 267, 23478, 1216, 585, 6683, 538, 519, 6239, 9503, 543, 7264, 543, 4213, 538, 8828, 4993, 269, 0, 1607, 3923, 649, 616, 6313, 1614, 2010, 540, 3014, 3666, 543, 875, 15888, 2936, 891, 2010, 883, 3014, 1374, 269, 901, 3018, 649, 3580, 1413, 693, 18378, 18696, 282, 519, 4316, 1942, 1063, 2139, 3681, 593, 513, 6345, 779, 2490, 269, 18378, 3666, 6227, 3615, 971, 607, 6753, 585, 11832, 13307, 610, 513, 6345, 779, 22010, 3664, 1210, 513, 10509, 3529, 563, 288, 3119, 6161, 540, 3014, 9858, 568, 547, 2327, 513, 3014, 814, 2178, 556, 2452, 1871, 543, 2488, 513, 9867, 1995, 1142, 942, 621, 10301, 519, 3349, 269, 18378, 18696, 4679, 519, 15325, 540, 3756, 676, 14874, 7301, 3664, 543, 15725, 8789, 2994, 563, 1103, 4156, 18696, 1107, 570, 716, 673, 10312, 454, 294, 1868, 4161, 721, 676, 3246, 4277, 3664, 543, 3850, 721, 547, 3442, 938, 1378, 2619, 269, 634, 5079, 666, 581, 26693, 538, 1896, 2081, 689, 5356, 7525, 18176, 1871, 267, 3850, 721, 547, 30010, 3527, 883, 2178, 10659, 610, 4758, 721, 513, 4960, 547, 1179, 3634, 1761, 585, 3152, 1871, 538, 519, 2104, 269, 1452, 4657, 3024, 725, 1683, 519, 4295, 585, 1082, 1390, 6272, 855, 789, 2154, 513, 13654, 23350, 602, 782, 2139, 3527, 723, 1871, 269, 1403, 606, 4781, 568, 4843, 630, 21865, 26968, 5944, 676, 519, 14704, 264, 602, 568, 2141, 1016, 268, 9953, 2711, 621, 3587, 513, 7301, 3375, 269, 769, 3014, 3069, 630, 320, 1353, 538, 3375, 1818, 1419, 1031, 538, 9297, 264, 713, 7301, 3375, 1131, 581, 2808, 968, 560, 2774, 569, 13856, 9731, 288, 7301, 3375, 6799, 1079, 1883, 2152, 3564, 3274, 11991, 6988, 912, 268, 5438, 27624, 5716, 786, 2141, 11716, 519, 3903, 563, 268, 1715, 5716, 3068, 513, 5906, 1565, 8486, 6420, 563, 2026, 5716, 3356, 998, 519, 1565, 7455, 540, 513, 3014, 789, 786, 3914, 513, 1448, 540, 6109, 1620, 543, 2141, 3343, 5688, 1275, 538, 3375, 1818, 269, 5438, 27624, 5716, 786, 1780, 936, 7301, 3664, 855, 786, 1869, 3068, 606, 11991, 11411, 281, 2348, 547, 28570, 741, 1445, 1142, 942, 713, 7301, 3375, 568, 4843, 563, 24375, 940, 5716, 723, 519, 6574, 19319, 607, 789, 1376, 1022, 3014, 609, 606, 13429, 602, 782, 3681, 616, 14323, 269, 9453, 519, 1995, 540, 14027, 998, 519, 1565, 7455, 267, 606, 17071, 4781, 786, 2014, 1007, 5716, 22303, 269, 901, 1305, 3724, 568, 538, 1840, 547, 1022, 824, 7580, 9073, 789, 786, 3921, 27274, 1118, 538, 741, 1101, 1906, 3756, 269, 8771, 3664, 616, 513, 4057, 1505, 540, 19459, 6345, 2773, 998, 5578, 607, 621, 31426, 811, 5702, 609, 538, 23024, 1466, 982, 17418, 563, 1103, 4156, 18696, 1107, 21864, 10312, 454, 26589, 609, 3246, 4277, 3664, 267, 9858, 946, 4835, 3666, 547, 2333, 556, 2452, 1871, 676, 7598, 2789, 10092, 547, 11802, 269, 1452, 616, 28836, 2994, 610, 11507, 5716, 666, 11654, 538, 1931, 547, 3035, 519, 3119, 6662, 269, 634, 2034, 3483, 540, 18378, 18696, 568, 547, 2697, 543, 1852, 8789, 2994, 282, 10092, 547, 11802, 799, 11566, 569, 2709, 519, 6574, 4960, 540, 11802, 563, 2026, 5716, 267, 621, 568, 538, 938, 2470, 547, 11441, 585, 6099, 5079, 538, 3756, 269, 1403, 513, 1880, 4640, 568, 1336, 547, 581, 8789, 267, 782, 824, 10092, 547, 11802, 1831, 17071, 543, 786, 581, 16053, 676, 829, 21082, 543, 25982, 5716, 269, 901, 16094, 7182, 556, 2452, 1871, 607, 3014, 8390, 3587, 3908, 543, 1256, 25276, 281, 513, 16950, 602, 13289, 513, 3014, 883, 8806, 513, 11015, 7996, 547, 581, 12193, 563, 25363, 13586, 18378, 18696, 1107, 15753, 3311, 454, 1103, 4156, 18696, 3096, 1079, 10850, 547, 2936, 7862, 1063, 3014, 5079, 269, 634, 1101, 5943, 568, 547, 4019, 513, 3690, 1438, 20556, 799, 10039, 513, 4336, 610, 1942, 7455, 950, 10442 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 14960, 540, 713, 5339, 1106, 543, 2263, 922, 10083, 2221, 780, 20058, 267, 1577, 721, 4983, 1018, 13054, 513, 31145, 1650, 269, 2311, 922, 4295, 267, 621, 3322, 513, 1391, 267, 2356, 5473, 2951, 998, 14542, 11182, 267, 9808, 9853, 609, 2591, 543, 8062, 269, 1717, 267, 7429, 2757, 7045, 8941, 267, 891, 15322, 849, 4196, 607, 6472, 585, 7096, 26126, 543, 7004, 269, 1358, 2099, 519, 1480, 3406, 585, 2495, 267, 3483, 267, 543, 4276, 609, 1945, 3152, 982, 13951, 269, 10705, 29689, 609, 3909, 4798, 267, 789, 2721, 2390, 18840, 20200, 531, 6698, 543, 18305, 5432, 2066, 1585, 4529, 543, 5132, 5389, 780, 257, 303, 559, 15317, 781, 18776, 2437, 2854, 1247, 645, 684, 12505, 729, 29802, 585, 1010, 1875, 935, 845, 626, 4978, 267, 5713, 607, 938, 13654, 1257, 269, 898, 22281, 338, 519, 9661, 540, 4168, 267, 945, 2377, 10225, 593, 513, 829, 559, 748, 3460, 689, 519, 4975, 540, 20121, 2315, 547, 519, 22966, 17155, 4975, 267, 25884, 3875, 9465, 2059, 519, 1259, 269, 3962, 4161, 4564, 1114, 3344, 540, 8103, 781, 6560, 1996, 5609, 543, 31112, 267, 5356, 4030, 883, 519, 2470, 540, 9409, 267, 19807, 267, 11419, 267, 543, 20778, 269, 6736, 1373, 7184, 12082, 538, 17557, 8567, 267, 1082, 540, 922, 4245, 16637, 11705, 337, 1400, 6302, 267, 6949, 908, 24080, 609, 3988, 7488, 540, 741, 1808, 1212, 2644, 610, 10080, 780, 763, 1379, 540, 31145, 2984, 6013, 538, 741, 2702, 547, 14377, 1950, 10952, 543, 24396, 21437, 883, 11541, 2833, 269, 1635, 1268, 4328, 7493, 2035, 267, 4589, 1118, 873, 811, 3015, 267, 7551, 14123, 4514, 8223, 543, 8086, 269, 1280, 3236, 267, 27951, 2677, 335, 1515, 538, 834, 303, 559, 15317, 781, 18776, 257, 24151, 21817, 3294, 267, 3246, 15889, 1106, 547, 606, 6382, 683, 12712, 748, 7553, 269, 6684, 267, 6215, 965, 540, 2677, 335, 1180, 3587, 513, 21055, 32761, 602, 1590, 581, 21986, 539, 267, 30118, 1738, 540, 4965, 543, 964, 15684, 269, 3414, 971, 11269, 267, 3988, 2744, 3407, 5380, 827, 2933, 543, 741, 1158, 780, 11101, 267, 4207, 2486, 5170, 547, 1265, 1871, 538, 891, 3504, 6386, 269, 7073, 14624, 540, 5929, 1568, 899, 834, 4692, 26248, 24079, 257, 543, 834, 19667, 710, 1290, 9037, 257, 1140, 652, 547, 11972, 9029, 540, 891, 15851, 8941, 269, 5015, 267, 2442, 9413, 543, 7641, 3126, 971, 607, 834, 763, 7083, 540, 519, 681, 902, 2437, 834, 29228, 540, 774, 14772, 2437, 543, 1256, 1453, 781, 14318, 834, 13510, 20345, 281, 634, 7831, 5794, 321, 2658, 2437, 6451, 2147, 4798, 267, 11744, 875, 8471, 1480, 9620, 2611, 3586, 5103, 4657, 8658, 780, 1103, 3932, 267, 4974, 31145, 2984, 3091, 3638, 3255, 585, 3695, 4909, 2055, 827, 6228, 267, 13919, 267, 543, 17035, 269, 1306, 7152, 676, 645, 684, 12505, 781, 834, 303, 559, 15317, 781, 18776, 2437, 891, 5931, 1683, 2189, 5867, 585, 2502, 6267, 538, 2565, 5717, 4478, 7881, 267, 3961, 267, 2146, 267, 543, 3661, 1949, 269, 6787, 14648, 12777, 610, 14165, 1227, 267, 891, 6386, 5401, 721, 547, 2015, 1141, 649, 2097, 689, 267, 1141, 649, 616, 2469, 267, 543, 1018, 4229, 3337, 938, 10092, 269, 4475, 267, 6220, 873, 883, 4081, 11407, 18327, 1898, 585, 14237, 1134, 25454, 2043, 5827, 540, 10188, 3309, 1514, 8916, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 7312, 2228, 3391, 547, 27185, 3174, 585, 547, 7340, 713, 2528, 6799, 10299, 15469, 269, 3643, 541, 281, 1806, 6999, 16065, 539, 593, 3883, 2035, 269, 4628, 267, 7718, 908, 5232, 666, 1711, 5225, 1063, 24262, 543, 6402, 540, 3618, 610, 17048, 269, 634, 2953, 26671, 610, 1582, 268, 1636, 20137, 540, 707, 590, 2454, 6075, 267, 2910, 305, 301, 2207, 4306, 24535, 1931, 267, 2013, 610, 4984, 1058, 5225, 8242, 269, 634, 7746, 17372, 263, 525, 264, 2257, 2488, 17808, 269, 7490, 5269, 1378, 552, 17733, 2349, 4169, 11795, 3720, 1040, 634, 946, 13485, 264, 596, 729, 7746, 264, 8385, 538, 513, 24084, 2287, 10564, 269, 7490, 581, 20593, 1540, 552, 17733, 1913, 1040, 1411, 949, 2291, 713, 17284, 547, 1152, 547, 2947, 2093, 269, 634, 2228, 3391, 547, 27185, 3174, 585, 26725, 7848, 568, 1031, 269, 634, 2104, 6216, 568, 1224, 269, 634, 812, 2359, 4984, 814, 6508, 269, 6426, 281, 20588, 267, 11404, 281, 3212, 778, 335, 527, 4964, 267, 476, 1001, 272, 269, 711, 1569, 602, 596, 616, 711, 513, 2990, 269, 2659, 3045, 8462, 568, 15538, 519, 3606, 31705, 540, 4566, 269, 7490, 581, 513, 1318, 23603, 609, 513, 10478, 7746, 282, 1305, 930, 18798, 547, 513, 12854, 610, 1482, 948, 282, 610, 946, 930, 3688, 563, 288, 1276, 3657, 21647, 593, 2993, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 16337, 1315, 4168, 1315, 25839, 1299, 1325, 5586, 800, 1315, 15815, 15317, 781, 18776, 16654, 11470, 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, 3848, 476, 278, 281, 15213, 540, 20309, 543, 595, 839, 11208, 538, 3013, 781, 11572, 23721, 692, 7072, 912, 26466, 4520, 540, 4082, 568, 1419, 2808, 519, 22294, 540, 9111, 267, 3850, 4961, 547, 4497, 538, 1930, 11407, 267, 3180, 11221, 8387, 18177, 267, 543, 6536, 2797, 7589, 269, 901, 3184, 12538, 883, 519, 1950, 2078, 1063, 5191, 540, 4633, 267, 24890, 267, 543, 3540, 23118, 1369, 519, 2796, 540, 1977, 2229, 269, 1635, 3695, 3140, 2665, 267, 4207, 9840, 267, 543, 3656, 9551, 757, 267, 713, 3184, 6663, 547, 16491, 1053, 609, 513, 13857, 1620, 540, 891, 2152, 1247, 8716, 2565, 3206, 543, 2079, 780, 4089, 594, 281, 8466, 12745, 910, 3883, 15051, 538, 3345, 4000, 630, 4350, 280, 268, 3707, 273, 264, 543, 922, 8177, 593, 5131, 16594, 692, 763, 6939, 545, 1349, 3177, 693, 519, 4098, 540, 713, 3184, 23456, 693, 519, 2956, 540, 8497, 1863, 4633, 1282, 2053, 540, 2112, 543, 4655, 269, 4438, 2622, 2782, 4083, 267, 5518, 15284, 667, 269, 17619, 9783, 15445, 11352, 476, 279, 3199, 273, 267, 7333, 940, 7292, 7130, 538, 8878, 6080, 543, 5313, 8041, 269, 4014, 713, 1931, 1705, 711, 12799, 2232, 24890, 267, 621, 1305, 606, 1898, 30675, 585, 7863, 1367, 22624, 1256, 1282, 29053, 269, 5047, 267, 519, 10966, 7040, 2013, 14033, 642, 269, 16506, 630, 4350, 272, 264, 3964, 602, 1991, 27047, 842, 1107, 519, 2259, 540, 7303, 1344, 23425, 1354, 8313, 1107, 729, 796, 6247, 6627, 896, 519, 3689, 14821, 8259, 972, 11478, 513, 2312, 543, 1459, 8594, 269, 1452, 8978, 2621, 5031, 519, 10347, 3666, 1063, 3084, 3354, 4145, 543, 17420, 3540, 23118, 971, 607, 5191, 540, 4082, 780, 4089, 4083, 281, 7073, 21784, 338, 547, 15213, 540, 20309, 543, 12634, 13891, 622, 692, 1103, 2221, 781, 3059, 2085, 267, 6937, 547, 5191, 540, 4082, 8451, 538, 1585, 3029, 267, 8151, 689, 2228, 18275, 543, 13842, 4633, 547, 13178, 543, 1239, 4015, 269, 4317, 2923, 5867, 267, 2899, 688, 6150, 607, 2645, 585, 24339, 520, 1944, 1702, 543, 16779, 12790, 9739, 267, 1631, 3068, 9880, 585, 7175, 16079, 20830, 267, 25749, 11044, 267, 543, 6882, 18616, 602, 24183, 2635, 18523, 11407, 269, 3958, 267, 8441, 538, 5841, 4987, 543, 3684, 1565, 10460, 3209, 2591, 547, 15725, 2228, 1543, 1510, 1102, 2590, 532, 2390, 4909, 13338, 20038, 780, 28757, 9840, 4478, 1863, 4633, 1445, 593, 2055, 899, 2436, 9945, 11129, 547, 771, 28717, 924, 11786, 10529, 610, 952, 4357, 3549, 1058, 581, 4847, 547, 524, 16428, 17119, 626, 1543, 593, 741, 5867, 269, 1280, 3236, 267, 15061, 6085, 1807, 5484, 1744, 777, 10098, 781, 18531, 693, 3875, 12621, 17275, 17600, 543, 7125, 585, 23545, 566, 1813, 547, 1010, 9228, 703, 26985, 5784, 2509, 12102, 2516, 269, 6684, 267, 10509, 23766, 9365, 543, 12108, 5185, 1394, 31988, 950, 789, 17049, 5449, 7022, 18496, 11686, 1310, 519, 5130, 476, 277, 7167, 20738, 678, 3999, 267, 9870, 4145, 827, 9746, 3310, 593, 1863, 4633, 780, 4089, 8633, 281, 13751, 2776, 1027, 757, 543, 7225, 2772, 19873, 725, 692, 8139, 19506, 5480, 3664, 19286, 919, 875, 519, 4140, 26547, 3705, 1206, 543, 10039, 13338, 3741, 7282, 1863, 4633, 269, 2368, 1883, 2665, 20515, 713, 1448, 1331, 1384, 272, 269, 15952, 29118, 642, 269, 11882, 630, 3422, 280, 2567, 12878, 2082, 602, 12982, 4633, 3112, 581, 19275, 8259, 621, 1651, 2572, 31873, 1876, 1652, 2962, 563, 273, 269, 7147, 642, 269, 9652, 630, 2735, 280, 2567, 681, 27968, 602, 9206, 8781, 13054, 12572, 4633, 6870, 676, 519, 3689, 14821, 563, 274, 269, 2480, 1156, 1188, 642, 269, 2136, 2276, 630, 4489, 280, 2567, 772, 874, 1245, 1221, 519, 24235, 540, 2043, 945, 7856, 6978, 7410, 28409, 4187, 1996, 4108, 931, 5524, 1282, 13431, 296, 267, 10962, 519, 1412, 27234, 543, 1459, 8594, 262, 1449, 563, 275, 269, 18171, 601, 6229, 3427, 10588, 642, 269, 918, 7795, 331, 1889, 1512, 630, 2735, 279, 2567, 4477, 323, 602, 3506, 949, 3635, 21107, 1852, 936, 2875, 12326, 952, 789, 4196, 24099, 5301, 780, 4322, 5947, 902, 6542, 1312, 519, 3376, 4027, 6488, 539, 547, 5191, 540, 4082, 543, 8320, 1141, 17756, 4019, 267, 971, 607, 25848, 523, 640, 267, 8165, 1913, 267, 1219, 14212, 267, 543, 1651, 924, 618, 780, 6962, 1384, 2026, 10423, 2429, 1686, 543, 11173, 883, 2413, 2486, 267, 11495, 606, 11466, 1063, 7347, 5191, 540, 4082, 543, 2556, 7687, 3788, 4101, 2943, 2629, 585, 30176, 11180, 2418, 269, 4197, 891, 13253, 3340, 2502, 609, 6946, 10952, 267, 4052, 267, 543, 10883, 1440, 644, 1113, 9270, 269, 3414, 11826, 6514, 543, 8086, 267, 1053, 666, 1831, 5483, 5171, 5827, 540, 5935, 7391, 1472, 3540, 23118, 543, 3540, 2924, 538, 519, 7706, 540, 6214, 543, 3564, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 9349, 15051, 769, 3345, 4000, 1656, 634, 5664, 5101, 476, 4350, 280, 476, 3707, 273, 476, 1001, 276, 454, 9349, 15051, 769, 3345, 4000, 1656, 634, 5664, 5101, 476, 4350, 280, 476, 3707, 273, 476, 1001, 276, 454, 2005, 1058, 1265, 6933, 730, 602, 938, 12353, 1433, 15051, 538, 3345, 4000, 543, 519, 602, 1153, 3091, 1100, 2376, 538, 5773, 1281, 607, 10505, 593, 1022, 1514, 16846, 267, 711, 13187, 267, 585, 4763, 267, 616, 547, 17589, 1031, 538, 853, 580, 2401, 269, 1857, 282, 607, 631, 2478, 814, 519, 1433, 15051, 538, 3345, 4000, 1040, 1403, 3744, 723, 3688, 267, 621, 3587, 602, 540, 1433, 15051, 789, 616, 856, 16175, 2253, 547, 1118, 2933, 538, 6990, 602, 616, 1022, 855, 519, 1034, 3160, 540, 1346, 8850, 9053, 5777, 540, 799, 789, 616, 1007, 269, 2924, 267, 621, 3976, 568, 547, 2196, 856, 267, 814, 5645, 676, 1913, 4171, 1433, 15051, 568, 602, 789, 666, 2864, 267, 538, 1523, 267, 24044, 2933, 585, 1210, 1031, 538, 8865, 269, 1053, 786, 1205, 741, 3604, 676, 1739, 543, 267, 6340, 827, 741, 1053, 267, 1433, 15051, 538, 3345, 4000, 6286, 267, 6708, 543, 3448, 21113, 267, 2754, 593, 1379, 12926, 7488, 607, 4340, 705, 334, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 623, 27773, 13316, 1315, 1977, 6554, 1315, 2817, 1315, 6406, 19115, 625, 543, 6406, 7126, 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 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3037, 7509, 16881, 4028, 4879, 540, 2656, 32704, 5757, 11166, 3334, 780, 275, 269, 276, 11192, 4826, 19554, 1323, 28109, 630, 307, 310, 6347, 264, 17325, 725, 692, 13707, 1216, 4859, 630, 307, 16703, 264, 4564, 519, 2040, 540, 18714, 1216, 6740, 538, 1585, 3029, 267, 1519, 15780, 267, 3037, 7509, 267, 6777, 267, 543, 2627, 1216, 4703, 269, 3400, 13901, 2242, 4611, 689, 15088, 538, 570, 16703, 666, 581, 9571, 3842, 6131, 9682, 28040, 574, 4479, 13485, 899, 16998, 19781, 630, 24836, 6143, 18401, 543, 8693, 15331, 264, 543, 16998, 19781, 7427, 268, 4002, 269, 9182, 267, 570, 16703, 2026, 666, 581, 6059, 676, 9236, 4767, 8904, 7648, 1996, 4704, 3631, 269, 4595, 3500, 32704, 5757, 11166, 3334, 5097, 4096, 2390, 15780, 2157, 543, 2620, 3037, 7509, 267, 10128, 29375, 6347, 1239, 3648, 10597, 519, 6111, 540, 2949, 20359, 11236, 780, 275, 269, 277, 14271, 1120, 2065, 13979, 281, 14216, 1516, 11545, 5211, 2598, 8408, 6480, 23660, 692, 3528, 9256, 9682, 7422, 540, 3037, 7509, 267, 13247, 267, 543, 570, 16703, 2026, 267, 3173, 723, 2919, 606, 5499, 1935, 1634, 607, 5254, 3918, 4456, 630, 306, 320, 307, 22972, 2861, 14840, 4752, 16214, 1656, 29570, 1040, 1306, 13890, 4505, 267, 713, 1505, 18252, 513, 3551, 2203, 6189, 547, 14384, 6218, 2656, 32704, 543, 3500, 32704, 5757, 11166, 3334, 269, 30272, 267, 891, 2418, 616, 31498, 600, 730, 547, 5352, 3232, 5757, 11166, 9193, 269, 13018, 267, 13247, 543, 3037, 7509, 1239, 3565, 2509, 12570, 2656, 32704, 3334, 267, 6466, 570, 16703, 2026, 7520, 3067, 2305, 540, 741, 13413, 1765, 338, 869, 32704, 3334, 780, 275, 269, 278, 20074, 5254, 3918, 4456, 4635, 8629, 15369, 19554, 7010, 692, 19931, 6388, 540, 5254, 3918, 4456, 19329, 15774, 5610, 540, 19635, 9682, 14449, 543, 3608, 4393, 7207, 269, 30855, 1843, 2861, 4859, 1949, 6087, 6099, 3919, 267, 23023, 267, 543, 2079, 540, 4620, 17879, 974, 8397, 9682, 21517, 269, 6206, 9270, 950, 7598, 5254, 3918, 4456, 1210, 744, 7034, 1331, 1384, 320, 264, 23496, 954, 6016, 762, 12043, 281, 9208, 1944, 9682, 10471, 12043, 5849, 17356, 2066, 8795, 9300, 2010, 543, 5692, 11775, 269, 22034, 1582, 17393, 21564, 12043, 899, 4880, 290, 5263, 2636, 4674, 1652, 28453, 543, 16163, 532, 540, 26945, 14449, 1369, 744, 7034, 5054, 780, 321, 264, 2480, 531, 762, 4994, 532, 6127, 281, 31478, 13214, 532, 12346, 2390, 7347, 27034, 3406, 10342, 269, 12039, 532, 2645, 4481, 2966, 585, 744, 7034, 267, 971, 607, 8835, 590, 274, 8564, 267, 11880, 924, 27034, 19707, 1510, 8506, 942, 21791, 2407, 1239, 18767, 780, 322, 264, 23155, 1242, 32262, 281, 14409, 2019, 6058, 748, 9682, 1239, 11562, 1218, 6252, 1436, 2994, 269, 14146, 532, 7856, 7384, 10850, 7258, 744, 7034, 6908, 6050, 1939, 14260, 14021, 4247, 2404, 609, 26399, 3818, 21299, 9682, 20555, 780, 323, 264, 19405, 1852, 543, 8810, 766, 9477, 281, 19737, 9687, 3301, 588, 2931, 543, 3403, 14449, 3340, 11826, 4528, 1852, 543, 22871, 12319, 269, 22685, 1154, 8061, 302, 1186, 1655, 2853, 5849, 10250, 1464, 2429, 519, 1646, 29488, 780, 275, 269, 279, 7464, 28131, 10241, 543, 8892, 19648, 692, 4306, 3918, 4456, 28837, 875, 1843, 2861, 4859, 1949, 7668, 3209, 3621, 8906, 676, 7561, 19713, 5318, 9424, 540, 9682, 1239, 269, 7351, 1382, 3646, 1445, 593, 17975, 4540, 6620, 267, 6220, 3606, 9682, 2616, 1963, 267, 543, 3695, 1007, 18817, 585, 19654, 3156, 269, 11086, 267, 891, 7760, 3180, 10373, 1761, 585, 5355, 3375, 6194, 3157, 4478, 1216, 4199, 2359, 267, 9568, 3210, 4058, 267, 543, 2916, 1689, 17846, 2994, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 26239, 1458, 1063, 9682, 7422, 540, 3037, 7509, 543, 1216, 4859, 22114, 585, 20359, 16759, 454, 1607, 1957, 6799, 606, 5499, 1935, 267, 5254, 3918, 4456, 1107, 15223, 307, 22972, 2861, 14840, 4752, 16214, 1656, 29570, 1107, 547, 17589, 3232, 5757, 11166, 543, 20359, 9193, 689, 9682, 7422, 540, 3037, 7509, 267, 13247, 267, 543, 2698, 1216, 4859, 22114, 630, 307, 16703, 2026, 1040, 10738, 513, 1360, 2241, 2203, 2497, 267, 13247, 543, 3037, 7509, 1239, 616, 1031, 547, 7447, 519, 2656, 32704, 5757, 11166, 5057, 1247, 570, 16703, 2026, 616, 1031, 585, 13844, 922, 14911, 851, 267, 1775, 4318, 1421, 519, 3500, 32704, 5757, 11166, 5057, 269, 634, 1079, 616, 1287, 3773, 1927, 547, 3489, 5757, 11166, 9193, 563, 763, 1505, 568, 7318, 936, 519, 14967, 5211, 16935, 585, 519, 1974, 476, 1220, 274, 1700, 1001, 277, 676, 1210, 13247, 1239, 689, 519, 23427, 14175, 6420, 25732, 17030, 630, 15045, 12613, 264, 11638, 1606, 520, 22972, 2776, 27457, 2787, 5811, 630, 26774, 5183, 1070, 3037, 7509, 1239, 689, 519, 3864, 6611, 10837, 781, 8693, 7827, 19541, 630, 2464, 288, 595, 5746, 1070, 543, 2698, 1216, 4859, 1239, 18222, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 19766, 21585, 1315, 3590, 10029, 1315, 19554, 1299, 4825, 4471, 1998, 1315, 8629, 15369, 19554, 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, 769, 713, 1576, 1770, 267, 649, 5490, 883, 519, 2565, 1909, 24027, 1072, 2533, 971, 607, 2168, 3797, 543, 561, 2096, 335, 1117, 9047, 2359, 1404, 538, 7175, 11361, 2043, 547, 2661, 9108, 543, 20354, 538, 741, 1378, 5321, 269, 634, 9183, 4843, 8711, 519, 2591, 5185, 676, 3885, 945, 616, 12391, 585, 10172, 6068, 3283, 543, 519, 2956, 540, 4466, 19579, 543, 17519, 1416, 7426, 269, 1284, 786, 2263, 875, 2564, 4648, 666, 4217, 538, 5466, 891, 4145, 998, 10319, 15834, 4485, 780, 20058, 267, 1577, 781, 4983, 519, 1523, 540, 24027, 1072, 2533, 543, 922, 4644, 1369, 3782, 11865, 269, 4340, 547, 519, 13163, 540, 8534, 10803, 630, 289, 11862, 1070, 24027, 1072, 23909, 20039, 585, 5111, 476, 2568, 260, 540, 2698, 7694, 538, 519, 3782, 2872, 538, 476, 1001, 280, 269, 1452, 22825, 7854, 3309, 10459, 1519, 10368, 267, 9354, 267, 1463, 3461, 1416, 267, 543, 1489, 2533, 269, 1306, 938, 2551, 6502, 267, 972, 568, 2810, 3747, 585, 9952, 4648, 5827, 540, 12419, 2298, 1416, 3358, 547, 2743, 1950, 2115, 2404, 609, 5312, 10108, 543, 9124, 780, 16498, 16293, 20647, 538, 10442, 3350, 14524, 543, 7598, 2126, 2994, 6322, 693, 5355, 10688, 267, 4227, 1928, 267, 7303, 6281, 8374, 267, 543, 7393, 2949, 6198, 4390, 269, 10738, 12908, 12278, 5468, 267, 789, 1419, 2232, 2085, 5829, 2242, 7133, 3666, 267, 4222, 267, 16608, 267, 543, 8112, 269, 5047, 267, 789, 949, 1683, 7840, 3823, 2825, 12381, 543, 13261, 3937, 1898, 585, 4509, 7115, 543, 5009, 2922, 5605, 1637, 269, 1635, 10128, 2963, 2861, 2259, 4808, 3964, 676, 3906, 899, 519, 1977, 8447, 10657, 5948, 630, 4338, 14011, 264, 543, 2622, 32700, 585, 8447, 10657, 630, 310, 290, 8976, 1070, 2168, 16293, 3565, 3648, 2509, 17306, 1072, 4093, 1851, 20650, 2713, 693, 1753, 780, 299, 2096, 335, 1117, 9047, 2359, 4564, 1776, 2629, 2460, 540, 7800, 2075, 732, 4749, 11402, 676, 3782, 9439, 269, 901, 2783, 3335, 14340, 1813, 547, 15176, 2095, 1369, 519, 30754, 1062, 4611, 538, 13250, 540, 3940, 11656, 5714, 3056, 547, 2571, 5160, 11926, 269, 898, 4122, 28107, 1739, 2860, 5574, 5473, 10551, 1191, 794, 543, 5982, 3797, 282, 2705, 267, 3119, 3029, 849, 2291, 1510, 5817, 30279, 3599, 269, 9453, 3617, 6304, 267, 2550, 3068, 4220, 8151, 689, 3968, 18687, 547, 4389, 2039, 540, 5163, 543, 19847, 2960, 8699, 269, 18043, 561, 2096, 335, 1117, 9047, 2359, 3322, 23499, 5698, 6220, 2609, 540, 8261, 3797, 267, 13496, 6512, 1645, 267, 3635, 13310, 267, 1582, 31193, 2069, 267, 543, 13178, 585, 1761, 3524, 601, 2801, 269, 26133, 561, 2096, 335, 1117, 9047, 16293, 8036, 538, 7463, 2553, 971, 607, 13159, 5463, 784, 24304, 10657, 630, 7374, 307, 264, 2099, 7533, 3334, 540, 2500, 2126, 26336, 780, 21010, 532, 891, 3584, 1394, 547, 519, 3355, 642, 793, 8291, 267, 29466, 5078, 10457, 28429, 1312, 2930, 6791, 543, 14375, 1983, 2556, 585, 3811, 5610, 883, 6213, 6469, 5054, 13514, 1713, 2591, 269, 12333, 5121, 267, 2146, 2200, 267, 543, 18019, 8041, 6131, 547, 11093, 840, 1606, 920, 2989, 10986, 13822, 14323, 3681, 17709, 540, 7156, 269, 3958, 267, 16107, 2029, 5867, 16881, 1569, 547, 5318, 20115, 540, 17053, 13007, 1247, 3246, 2645, 585, 4282, 11974, 267, 19609, 19027, 267, 543, 2773, 6268, 269, 12056, 538, 5571, 2792, 609, 5116, 5234, 5849, 12905, 6571, 540, 28928, 2152, 543, 11942, 15364, 540, 1416, 1898, 585, 14237, 29037, 1063, 7218, 543, 3028, 7426, 780, 1103, 3932, 267, 30015, 2104, 19353, 609, 13654, 1702, 4478, 24027, 1072, 2533, 267, 3226, 2168, 3797, 543, 561, 2096, 335, 1117, 9047, 2359, 267, 16877, 873, 547, 5838, 6099, 1416, 585, 22242, 964, 3931, 547, 2611, 538, 5432, 10450, 1282, 2663, 5933, 540, 1272, 269, 4197, 4207, 3466, 5935, 3782, 6765, 1949, 5916, 609, 4052, 3498, 540, 4143, 1983, 1115, 6087, 6209, 7418, 4724, 4180, 14064, 1881, 543, 16180, 2833, 585, 1346, 10188, 519, 10848, 7915, 538, 10172, 3157, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 298, 13873, 779, 476, 9262, 4458, 6040, 3158, 6368, 8815, 547, 723, 2576, 2097, 538, 513, 1906, 2395, 513, 3018, 547, 948, 609, 2777, 15209, 267, 7594, 7041, 543, 17365, 10918, 269, 27239, 779, 1044, 6998, 1200, 547, 3398, 948, 585, 3275, 2443, 2479, 2094, 1200, 3158, 779, 2295, 2042, 3459, 1818, 621, 2352, 585, 1200, 547, 1796, 1279, 2614, 547, 5965, 513, 7594, 267, 1577, 4805, 2973, 519, 2777, 269, 1809, 1200, 3158, 6854, 6031, 602, 1352, 4769, 1406, 1616, 513, 24928, 538, 519, 2777, 543, 1352, 4769, 1406, 1616, 547, 1847, 689, 1200, 1753, 269, 2701, 6368, 882, 5034, 267, 2705, 267, 950, 1352, 8593, 543, 15354, 538, 519, 6595, 4055, 609, 513, 7745, 21015, 269, 4014, 17212, 1386, 602, 1200, 3158, 786, 3398, 948, 267, 1631, 27239, 779, 4161, 568, 547, 1265, 513, 11727, 267, 30190, 267, 2186, 267, 22973, 1268, 609, 7247, 1200, 3158, 786, 1745, 6899, 538, 1200, 1753, 269, 1548, 779, 519, 1655, 1259, 547, 1265, 519, 948, 1352, 779, 5275, 888, 310, 528, 11538, 827, 519, 3106, 543, 1072, 540, 707, 9808, 559, 610, 2192, 4587, 1920, 4759, 693, 1753, 666, 8532, 707, 4555, 267, 1818, 621, 2352, 547, 1445, 593, 824, 1271, 7569, 538, 707, 1272, 269, 5525, 1397, 602, 1034, 4079, 2443, 683, 320, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 631, 19075, 1315, 20466, 2657, 7896, 1315, 8447, 10657, 1315, 700, 2096, 335, 1117, 9047, 5004, 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, 8080, 267, 2104, 1158, 3332, 17701, 256, 4653, 267, 649, 616, 2469, 547, 7832, 593, 513, 13858, 3460, 998, 942, 543, 2230, 547, 3605, 519, 1764, 540, 835, 6909, 5856, 593, 2984, 602, 1004, 782, 1472, 519, 8608, 3136, 547, 2972, 269, 2334, 2278, 568, 20353, 3241, 632, 595, 969, 656, 525, 15223, 8491, 571, 267, 1732, 1634, 3274, 607, 595, 969, 656, 525, 267, 945, 4050, 2740, 519, 4583, 3209, 5213, 2372, 1460, 1774, 1259, 1394, 538, 519, 476, 8182, 271, 338, 269, 1924, 521, 18150, 909, 707, 9640, 543, 1205, 4712, 585, 606, 7045, 4904, 609, 669, 2526, 787, 267, 9345, 267, 17409, 267, 543, 4245, 827, 1373, 3020, 547, 13951, 780, 5331, 596, 5030, 1282, 519, 2395, 950, 15438, 543, 30842, 12199, 5318, 3338, 543, 29843, 887, 3139, 519, 24781, 3168, 585, 9035, 269, 1452, 7086, 656, 21847, 1131, 4339, 22645 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7726, 7813, 585, 6481, 281, 10334, 3436, 25115, 12594, 3436, 11644, 268, 274, 3436, 1627, 476, 1839, 269, 661, 3008, 312, 269, 2423, 333, 476, 1911, 269, 4107, 4583, 1623, 25027, 9436, 21338, 24059, 11486, 1470, 325, 23459, 6500, 568, 630, 320, 264, 21193, 13681, 1461, 630, 321, 264, 21193, 4592, 14137, 553, 630, 322, 264, 21193, 4592, 19905, 276, 264, 19554, 19871, 1547, 19554, 5946, 5631, 4558, 7777, 12274, 971, 607, 11379, 538, 707, 1560, 269, 11635, 267, 585, 1383, 2073, 568, 606, 9357, 2838, 585, 519, 5250, 540, 24562, 267, 519, 1292, 7293, 5057, 540, 2699, 1973, 2281, 269, 12113, 761, 514, 2443, 513, 4859, 3940, 2443, 21560, 543, 22651, 1996, 519, 8801, 2360, 540, 4430, 4401, 538, 707, 1560, 563, 327, 684, 614, 11777, 3014, 531, 1811, 21181, 2450, 476, 273, 538, 4699, 1492, 6952, 1433, 5758, 339, 758, 14623, 2847, 12310, 4337, 1149, 4487, 4289, 25975, 3960, 532, 538, 606, 639, 562, 327, 572, 341, 9407, 1560, 1148, 21895, 8265, 322, 691, 517, 540, 2261, 331, 4011, 334, 16600, 8279, 2282, 803, 329, 1115, 976, 2915, 4230, 549, 454, 1708, 273, 269, 476, 275, 269, 476, 1428, 269, 5788, 1548, 616, 6886, 2285, 1079, 1806, 4147, 476, 1015, 286, 9537, 540, 30200, 269, 6201, 616, 4401, 7626, 267, 22670, 7626, 267, 6985, 924, 267, 7510, 1679, 267, 19695, 267, 543, 524, 28240, 269, 6348, 1922, 518, 9317, 6886, 281, 1358, 2560, 26581, 7434, 6886, 616, 1336, 538, 1082, 2472, 269, 1280, 1383, 267, 538, 513, 1591, 6049, 267, 21247, 568, 1031, 547, 1118, 519, 4837, 269, 19077, 1756, 543, 27948, 616, 1031, 547, 1118, 519, 6007, 269, 18924, 4637, 616, 849, 606, 4853, 7777, 269, 5221, 540, 741, 21052, 267, 19987, 616, 1031, 585, 1082, 1919, 269, 901, 2882, 24200, 1031, 585, 5969, 543, 1135, 5109, 6993, 7777, 568, 513, 6923, 9648, 22803, 3693, 610, 7623, 2348, 606, 1931, 569, 4835, 2497, 543, 8984, 3114, 5888, 267, 12627, 1106, 267, 543, 2168, 3601, 269, 2560, 2381, 1968, 267, 6923, 9648, 24267, 4396, 609, 513, 17386, 3114, 5888, 543, 513, 3810, 10288, 10570, 11460, 282, 621, 568, 2356, 4646, 676, 3267, 288, 7777, 568, 606, 3693, 610, 3114, 7623, 602, 568, 7363, 26543, 543, 602, 814, 1044, 4646, 607, 513, 1267, 540, 17027, 3157, 269, 6201, 1331, 21247, 267, 21688, 1091, 1706, 6886, 267, 18287, 924, 267, 16247, 543, 519, 10036, 6886, 971, 607, 25697, 565, 9548, 543, 1159, 624, 924, 6993, 7777, 568, 606, 3693, 610, 3114, 7623, 602, 568, 7363, 26543, 543, 602, 814, 1044, 4646, 607, 513, 1267, 540, 17027, 3157, 269, 6201, 1331, 21247, 267, 21688, 1091, 1706, 6886, 267, 18287, 924, 267, 16247, 543, 519, 10036, 6886, 971, 607, 25697, 565, 9548, 543, 1159, 624, 924, 269, 30200, 616, 1419, 1031, 538, 519, 2504, 540, 23907, 269, 16544, 540, 6886, 305, 327, 617, 5255, 4592, 924, 269, 10910, 617, 5255, 4592, 924, 568, 513, 19941, 7777, 609, 4542, 281, 631, 333, 4596, 274, 269, 898, 814, 513, 5929, 9782, 1790, 1074, 2681, 267, 855, 15013, 666, 849, 581, 6960, 610, 12457, 269, 898, 3029, 2915, 1729, 1054, 610, 11002, 558, 2692, 14366, 14848, 899, 18287, 924, 267, 855, 621, 949, 849, 2049, 538, 26106, 716, 12792, 267, 30704, 267, 12162, 983, 267, 7762, 787, 18042, 267, 543, 7372, 6208, 269, 10910, 617, 5255, 4592, 924, 568, 1336, 538, 8652, 31516, 7626, 15532, 3267, 1323, 1648, 7777, 610, 7777, 4199, 568, 513, 4224, 23353, 609, 835, 610, 811, 3730, 2326, 269, 15531, 543, 29227, 7777, 2200, 3340, 519, 3498, 540, 519, 3741, 540, 20569, 269, 2368, 6886, 616, 1031, 607, 789, 616, 538, 519, 3037, 267, 2495, 789, 2154, 2370, 610, 1100, 3606, 4393, 269, 1280, 1383, 267, 17576, 18429, 267, 5070, 267, 18574, 267, 610, 6070, 630, 15595, 924, 3267, 14737, 5644, 616, 4396, 6878, 602, 616, 1459, 538, 2470, 543, 666, 581, 1500, 540, 835, 3693, 610, 811, 2609, 5916, 1927, 630, 23755, 7135, 1040, 7108, 267, 18234, 543, 3327, 616, 2609, 602, 1106, 6886, 593, 741, 1378, 269, 1358, 616, 1572, 5065, 2609, 269, 5502, 267, 8723, 10051, 6070, 568, 513, 3114, 7623, 602, 568, 1572, 4224, 6070, 267, 799, 568, 513, 7777, 3267, 2304, 1648, 7777, 610, 7777, 4199, 568, 513, 4224, 23353, 609, 835, 610, 811, 3730, 2326, 269, 15531, 543, 29227, 7777, 2200, 3340, 519, 3498, 540, 519, 3741, 540, 20569, 269, 2368, 6886, 616, 1031, 607, 789, 616, 538, 519, 3037, 267, 2495, 789, 2154, 2370, 610, 1100, 3606, 4393, 269, 1280, 1383, 267, 17576, 18429, 267, 5070, 267, 18574, 267, 610, 6070, 630, 15595, 924, 3267, 1708, 273, 269, 476, 274, 269, 476, 3066, 269, 5788, 13804, 564, 924, 267, 22104, 924, 267, 979, 996, 924, 267, 1929, 31354, 267, 543, 521, 3187, 924, 616, 782, 1806, 540, 4401, 6886, 269, 968, 20332, 7626, 892, 610, 968, 14259, 697, 11288, 7626, 892, 4016, 547, 7626, 602, 814, 513, 1164, 6871, 540, 2560, 1432, 616, 930, 1806, 540, 20060, 559, 6510, 6886, 286, 589, 1875, 3623, 6510, 7777, 568, 513, 7777, 602, 1281, 711, 3180, 21958, 25543, 28353, 269, 2368, 1806, 540, 1875, 3623, 6510, 6886, 616, 27911, 267, 9829, 1938, 267, 9829, 919, 3267, 26452, 1806, 1331, 7510, 1679, 3171, 306, 273, 267, 7523, 6511, 623, 321, 306, 267, 543, 838, 15595, 518, 924, 31626, 306, 538, 922, 6986, 13058, 1106, 269, 2368, 9829, 1938, 616, 24776, 607, 2959, 540, 8407, 899, 13058, 267, 1291, 267, 7601, 267, 543, 17646, 269, 12539, 919, 1452, 616, 1759, 593, 519, 19941, 9357, 267, 630, 4596, 274, 264, 273, 268, 269, 2836, 322, 924, 267, 6970, 4596, 274, 267, 543, 12373, 558, 924, 616, 19941, 6886, 269, 13804, 525, 924, 568, 513, 19941, 7777, 1031, 585, 6464, 267, 3595, 20398, 267, 13101, 4496, 543, 811, 269, 700, 788, 573, 565, 924, 700, 788, 573, 565, 924, 568, 513, 11909, 547, 13711, 544, 3821, 1031, 607, 606, 7626, 540, 16864, 543, 607, 513, 17576, 1570, 269, 5395, 335, 20634, 5395, 335, 20634, 910, 23009, 545, 7725, 1031, 538, 4070, 267, 6189, 543, 22272, 573, 776, 960, 269, 9605, 4103, 1299, 30200, 11357, 560, 1734, 616, 1612, 3530, 1231, 543, 19386, 1806, 540, 7777, 6878, 616, 26328, 2230, 543, 814, 2597, 2339, 568, 3388, 602, 513, 3154, 547, 513, 5277, 28198, 568, 519, 1689, 538, 2339, 689, 513, 5277, 547, 513, 3154, 11517, 1436, 568, 602, 1689, 540, 2339, 689, 513, 4396, 547, 513, 5277, 13621, 568, 519, 1689, 540, 2339, 689, 513, 4396, 547, 513, 3154, 1016, 3916, 566, 568, 513, 1689, 540, 2339, 689, 519, 1689, 540, 11517, 547, 513, 5277, 3267, 273, 2395, 3516, 5788, 590, 27567, 924, 269, 2160, 540, 4826, 31846, 3047, 7070, 7467, 14635, 2422, 546, 538, 281, 5463, 20753, 4773, 282, 4035, 749, 2044, 282, 590, 27567, 924, 269, 2160, 540, 4826, 31846, 9412, 12567, 269, 631, 3821, 269, 7756, 2560, 2381, 1968, 16005, 267, 14919, 540, 513, 7777, 538, 606, 29099, 1164, 5834, 269, 6168, 3368, 540, 519, 1634, 3114, 2609, 4865, 930, 17285, 3601, 269, 634, 2165, 4496, 267, 2705, 267, 568, 11603, 585, 1346, 3114, 2609, 602, 4865, 1079, 610, 811, 540, 519, 8984, 2168, 3601, 540, 8407, 630, 641, 13369, 267, 13811, 1006, 267, 544, 4150, 1464, 267, 535, 639, 2225, 264, 543, 616, 849, 1434, 26423, 540, 3002, 543, 5201, 3267, 288, 7777, 568, 606, 3693, 610, 3114, 7623, 602, 568, 7363, 26543, 543, 602, 814, 1044, 4646, 607, 513, 1267, 540, 17027, 3157, 269, 6201, 1331, 21247, 267, 21688, 1091, 1706, 6886, 267, 18287, 924, 267, 16247, 543, 519, 10036, 6886, 971, 607, 25697, 565, 9548, 543, 1159, 624, 924, 269, 1708, 272, 269, 476, 280, 269, 476, 280, 269, 3267, 6258, 519, 2495, 540, 513, 7777, 543, 1294, 1806, 540, 6886, 267, 971, 607, 4401, 267, 13101, 267, 543, 21247, 269, 6258, 827, 6886, 543, 741, 3601, 3267, 24618, 3163, 6997, 8018, 12474, 4813, 17291, 30200, 6997, 269, 20638, 281, 1677, 2697, 1114, 6886, 1759, 593, 741, 2168, 3601, 269, 10049, 2877, 1282, 519, 2978, 281, 25115, 22384, 15873, 282, 15011, 338, 10434, 1145, 17361, 282, 26488, 281, 3367, 998, 519, 3003, 5650, 1354, 4098, 519, 2978, 269, 1001, 280, 269, 476, 278, 269, 476, 866, 269, 5788, 1280, 1383, 267, 538, 519, 2013, 540, 3349, 6070, 630, 27845, 5141, 1070, 519, 14848, 616, 1500, 909, 540, 18695, 540, 9770, 630, 27845, 264, 12274, 543, 20841, 630, 5141, 264, 12274, 269, 3962, 9770, 9357, 568, 11303, 676, 3670, 20841, 12274, 269, 3962, 20841, 9357, 568, 11303, 676, 3670, 9770, 12274, 269, 898, 781, 1360, 16625, 267, 799, 568, 4010, 1018, 2306, 621, 513, 12627, 256, 7756, 6886, 723, 1114, 7636, 15885, 8160, 1725, 525, 924, 568, 513, 19941, 7777, 1031, 585, 6464, 267, 3595, 20398, 267, 13101, 4496, 543, 811, 269, 700, 788, 573, 565, 924, 700, 788, 573, 565, 924, 568, 513, 11909, 547, 13711, 544, 3821, 1031, 607, 606, 7626, 540, 16864, 543, 607, 513, 17576, 1570, 269, 5395, 335, 20634, 5395, 335, 20634, 910, 23009, 545, 7725, 1031, 538, 4070, 267, 6189, 543, 22272, 573, 776, 960, 269, 9605, 4103, 1299, 30200, 16631, 16610, 5410, 5962, 270, 3682, 12723, 623, 14701, 14288, 11621, 3267, 8921, 267, 594, 786, 1491, 856, 513, 7777, 3732, 543, 2307, 873, 875, 649, 666, 19665, 713, 4224, 11065, 761, 1479, 910, 1403, 513, 7777, 568, 554, 2459, 1229, 543, 519, 1267, 568, 513, 8869, 610, 1507, 1835, 29304, 267, 621, 568, 2808, 28221, 269, 2826, 1479, 6886, 4734, 513, 5386, 8869, 952, 29565, 3481, 267, 799, 568, 519, 1259, 547, 1449, 513, 7777, 547, 1294, 952, 621, 568, 28221, 269, 634, 5354, 540, 782, 6886, 616, 28221, 269, 1323, 1383, 568, 31763, 345, 23130, 616, 930, 1806, 540, 20060, 559, 6510, 6886, 286, 589, 1875, 3623, 6510, 7777, 568, 513, 7777, 602, 1281, 711, 3180, 21958, 25543, 28353, 269, 2368, 1806, 540, 1875, 3623, 6510, 6886, 616, 27911, 267, 9829, 1938, 267, 9829, 919, 3267, 1708, 273, 269, 476, 277, 269, 476, 1556, 269, 3267, 717, 2114, 616, 4190, 543, 1419, 4686, 267, 1818, 873, 3407, 269, 4107, 21889, 2097, 689, 7777, 14848, 269, 1280, 1383, 267, 6299, 625, 543, 1094, 653, 327, 2231, 616, 2759, 543, 3267, 2690, 1383, 25342, 568, 606, 5337, 15667, 4224, 6140, 1500, 689, 1114, 17114, 540, 519, 6886, 21247, 267, 21688, 1091, 1706, 543, 544, 3821, 607, 954, 6674, 539, 14848, 282, 513, 32498, 3267, 2026, 7150, 1657, 267, 29447, 538, 772, 30045, 3037, 1216, 729, 2147, 547, 1312, 11626, 18254, 543, 20359, 267, 7654, 10834, 13719, 5169, 540, 20359, 29447, 269, 589, 6199, 630, 1960, 276, 264, 11130, 602, 2362, 476, 9262, 29447, 270, 476, 10436, 29447, 12753, 538, 13719, 7777, 3037, 20030, 2992, 1732, 11091, 540, 918, 11656, 6886, 609, 1164, 681, 321, 3379, 547, 519, 6140, 649, 9312, 543, 682, 3737, 6970, 6886, 3267, 12914, 476, 1839, 267, 476, 1708, 273, 5788, 19077, 1756, 543, 27948, 616, 1031, 547, 1118, 519, 6007, 269, 18924, 4637, 616, 849, 606, 4853, 7777, 269, 5221, 540, 741, 21052, 267, 19987, 616, 1031, 585, 1082, 1919, 269, 901, 2882, 24200, 1031, 585, 5969, 543, 1135, 5109, 269, 1358, 616, 849, 1031, 547, 1118, 6793, 22795, 543, 538, 8156, 2860, 256, 589, 16590, 3787, 1031, 538, 519, 17656, 540, 3282, 19401, 269, 1284, 19665, 6886, 1759, 593, 741, 21052, 267, 3337, 267, 561, 13831, 610, 2681, 269, 5753, 786, 1265, 856, 1018, 519, 15011, 338, 17361, 568, 543, 1018, 2010, 540, 6886, 621, 5161, 540, 269, 14936, 267, 789, 786, 1413, 693, 1862, 5226, 691, 345, 568, 835, 540, 519, 1034, 10731, 6886, 593, 519, 4541, 269, 898, 2501, 538, 513, 2603, 540, 1114, 15437, 971, 607, 11909, 630, 13427, 21247, 1070, 5835, 630, 31842, 9068, 1070, 13711, 630, 600, 996, 22438, 1070, 3043, 630, 332, 559, 5652, 21247, 1070, 2699, 630, 600, 996, 22438, 609, 22104, 924, 1070, 543, 6960, 543, 15454, 630, 8243, 758, 344, 21247, 1040, 1879, 649, 1616, 21247, 2221, 649, 1419, 1118, 621, 538, 513, 19460, 3079, 540, 20857, 621, 856, 540, 519, 2666, 269, 5228, 588, 30519, 924, 7626, 543, 824, 6886, 269, 898, 568, 1031, 607, 513, 2182, 2287, 18585, 585, 1291, 267, 2523, 4859, 9075, 543, 10814, 1352, 23411, 269, 898, 781, 849, 1031, 538, 12946, 4496, 267, 1826, 4496, 267, 1151, 1457, 267, 2458, 2355, 1043, 13740, 543, 23240, 267, 6656, 543, 12992 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 971, 1514, 3790, 607, 2825, 4027, 543, 3106, 6042, 269, 1452, 3800, 616, 10924, 547, 960, 607, 15314, 547, 3854, 5092, 267, 1007, 681, 1299, 667, 630, 516, 14142, 543, 1646, 1070, 543, 2489, 2804, 2208, 267, 609, 513, 1463, 8102, 894, 1198, 593, 2504, 267, 543, 513, 8945, 548, 16365, 1198, 593, 7694, 543, 3747, 269, 1215, 798, 782, 891, 10054, 1796, 909, 538, 4641, 888, 4131, 721, 3398, 519, 1101, 13429, 3823, 519, 2956, 540, 11931, 2804, 2208, 267, 3177, 649, 1451, 547, 1331, 12007, 2208, 630, 574, 2889, 22777, 540, 519, 1604, 267, 3106, 693, 960, 543, 538, 1857, 4025, 264, 538, 938, 2949, 1523, 540, 2208, 19601, 2690, 1175, 1269, 866, 269, 4817, 513, 1032, 267, 1205, 1569, 547, 1007, 2152, 543, 5756, 262, 4502, 540, 21517, 593, 938, 3135, 563, 19530, 1341, 6732, 454, 2690, 1269, 3066, 269, 4817, 513, 1032, 267, 1205, 1007, 2152, 9447, 547, 707, 7450, 543, 1569, 547, 938, 2407, 2228, 21517, 269, 0, 15031, 1466, 256, 1215, 547, 8178, 543, 16237, 6533, 8682, 4211, 2632, 1503, 454, 268, 11485, 7232, 337, 6471, 267, 4639, 24415, 17625, 267, 10790, 267, 2136, 2276, 454, 14399, 1419, 1397, 4191, 540, 7988, 28832, 267, 791, 6160, 2032, 267, 543, 1981, 23824, 1765, 2041, 6409, 12542, 602, 15936, 609, 1565, 543, 2208, 269, 28871, 26582, 538, 971, 7679, 1359, 5615, 616, 2042, 540, 1582, 20820, 269, 11153, 5756, 540, 1382, 538, 519, 2247, 543, 2634, 9443, 1217, 1620, 540, 1582, 20820, 267, 1312, 607, 513, 16023, 543, 1533, 269, 901, 1382, 814, 1713, 6286, 585, 7855, 267, 3246, 2994, 585, 12570, 543, 14304, 1582, 20820, 269, 901, 1957, 8039, 519, 4143, 7811, 2035, 543, 4052, 3156, 269, 3487, 835, 11828, 1699, 3206, 827, 519, 2470, 540, 1582, 20820, 267, 2519, 593, 519, 19610, 21441, 1063, 630, 328, 264, 16023, 543, 1533, 267, 607, 1134, 607, 630, 4512, 264, 2019, 819, 531, 543, 791, 14601, 3157, 269, 3487, 1079, 8039, 513, 1920, 540, 2409, 2966, 547, 2708, 1114, 3344, 540, 1582, 20820, 269, 3487, 1614, 6212, 593, 2081, 547, 4222, 1582, 20820, 267, 1519, 2241, 2994, 602, 948, 1711, 6208, 543, 2569, 4655, 609, 12721, 15673, 725, 563, 9961, 1646, 267, 1453, 616, 4122, 13934, 676, 3929, 7988, 28832, 267, 791, 6160, 2032, 267, 543, 1981, 23824, 1765, 2041, 24173, 10832, 540, 4057, 1582, 20820, 269, 1452, 5615, 15641, 324, 2123, 543, 9263, 1565, 267, 2436, 519, 1543, 568, 1514, 15041, 10899, 610, 4081, 269, 634, 1434, 3377, 568, 602, 519, 2247, 543, 2634, 9443, 723, 2919, 2241, 267, 2500, 2994, 547, 2708, 267, 543, 7794, 1582, 20820, 602, 616, 4998, 585, 4543, 782, 1453, 267, 2436, 538, 2489, 610, 2027, 2069, 269, 901, 1957, 8039, 891, 2994, 269, 3487, 476, 272, 5587, 5809, 930, 540, 519, 4295, 12497, 2152, 4478, 519, 4390, 585, 1582, 20820, 267, 2519, 2523, 593, 21441, 602, 1118, 513, 3017, 547, 1620, 543, 7393, 513, 1126, 781, 2208, 269, 20668, 476, 273, 543, 476, 274, 1865, 267, 6606, 267, 2409, 585, 12570, 543, 14304, 1582, 20820, 563, 8512, 476, 272, 269, 10417, 783, 12983, 454, 763, 5389, 540, 5042, 2257, 543, 2069, 4043, 547, 8237, 950, 621, 2501, 547, 16166, 267, 609, 519, 5449, 811, 9846, 1210, 1582, 20820, 1247, 519, 8545, 3096, 1582, 15696, 4327, 1565, 630, 301, 24513, 267, 476, 1001, 277, 1040, 9282, 972, 568, 16937, 1851, 891, 2474, 267, 519, 19206, 789, 4584, 856, 616, 10058, 267, 1519, 519, 16097, 585, 12570, 543, 7393, 873, 630, 291, 3089, 10290, 1696, 620, 1421, 476, 1001, 275, 282, 631, 1176, 822, 338, 10798, 320, 1696, 620, 1421, 476, 1001, 280, 1040, 634, 1445, 538, 713, 1957, 568, 14311, 593, 1582, 20820, 1317, 621, 568, 1447, 5432, 547, 1082, 7855, 267, 855, 5693, 10597, 543, 1264, 906, 519, 960, 593, 1582, 15696, 4327, 1565, 630, 310, 2044, 543, 715, 2884, 26709, 267, 476, 1001, 271, 282, 31704, 710, 330, 543, 632, 293, 584, 267, 476, 1001, 277, 1916, 20236, 20820, 14122, 519, 2702, 547, 10038, 4664, 267, 3007, 267, 543, 2623, 950, 4655, 19674, 1063, 1079, 12721, 3681, 267, 835, 2139, 5612, 267, 543, 835, 16607, 883, 519, 2104, 630, 289, 320, 2541, 3563, 1696, 620, 1421, 476, 1220, 278, 282, 667, 3089, 10290, 1696, 620, 1421, 476, 1001, 280, 1040, 8682, 15696, 4327, 1565, 267, 538, 4334, 267, 6212, 593, 519, 2994, 1031, 547, 6895, 3356, 267, 3489, 5955, 267, 543, 6095, 1676, 1489, 538, 519, 3028, 540, 1140, 8724, 1514, 15041, 10899, 543, 4081, 3853, 630, 290, 1961, 1696, 620, 1421, 476, 1001, 279, 1040, 634, 1883, 3017, 267, 1287, 267, 568, 602, 1582, 20820, 28559, 711, 1582, 15696, 4327, 1565, 1765, 531, 1811, 3322, 513, 4655, 4810, 543, 7307, 676, 519, 1367, 1063, 2110, 268, 543, 1279, 3856, 3853, 563, 1103, 6236, 519, 4390, 585, 1582, 20820, 267, 621, 568, 1271, 547, 1118, 1079, 2417, 21441, 269, 634, 1101, 568, 1063, 16023, 543, 1533, 1582, 20820, 269, 3004, 527, 1582, 20820, 630, 1372, 681, 1342, 518, 1696, 620, 1421, 476, 1001, 272, 264, 4016, 547, 3344, 540, 938, 5817, 7350, 602, 616, 3335, 5812, 543, 1279, 9434, 936, 513, 1272, 942, 269, 5525, 540, 16023, 1582, 20820, 7866, 519, 16762, 1379, 540, 2038, 10526, 585, 2663, 1272, 4093, 1519, 1072, 267, 5763, 267, 543, 2069, 630, 19111, 344, 1696, 620, 1421, 476, 1001, 272, 282, 631, 4752, 8636, 1696, 620, 1421, 476, 1001, 272, 1040, 769, 1840, 267, 2090, 7866, 602, 2043, 609, 1164, 16023, 1582, 20820, 1995, 4655, 607, 1447, 26688, 538, 851, 1317, 789, 1020, 6793, 6208, 543, 811, 24672, 1524, 2958, 3634, 741, 4664, 982, 1346, 609, 1970, 1582, 20820, 630, 294, 4068, 9346, 691, 543, 632, 681, 1342, 518, 267, 476, 1001, 276, 5148, 971, 2640, 8451, 538, 513, 3099, 540, 8658, 1519, 519, 4616, 540, 2635, 16152, 267, 1353, 6208, 267, 6780, 12032, 267, 543, 18094, 1282, 519, 1101, 1032, 540, 2852, 630, 294, 718, 320, 543, 667, 3089, 10290, 267, 476, 1001, 276, 1040, 9282, 16023, 1582, 20820, 568, 12082, 538, 938, 7350, 267, 621, 568, 711, 1799, 17014, 630, 293, 9567, 7719, 543, 29965, 3467, 267, 476, 1001, 279, 282, 17455, 5674, 1696, 620, 1421, 476, 1001, 279, 28931, 320, 1448, 540, 1390, 10083, 547, 7855, 6236, 3255, 547, 7794, 713, 4390, 630, 8512, 476, 274, 1916, 13750, 1582, 20820, 4016, 547, 10151, 543, 1419, 4657, 3344, 540, 1582, 20820, 602, 666, 8451, 1369, 513, 1554, 610, 10156, 5712, 540, 942, 1813, 547, 8404, 267, 1995, 267, 543, 2825, 6381, 269, 3194, 593, 1533, 1582, 20820, 5267, 602, 621, 568, 513, 3908, 4199, 267, 835, 602, 666, 581, 30701, 998, 946, 267, 609, 2942, 4539, 585, 1582, 543, 2486, 630, 289, 320, 2541, 3563, 1696, 620, 1421, 476, 1001, 279, 1040, 1280, 1383, 267, 2043, 609, 1970, 1533, 1582, 20820, 616, 811, 2693, 547, 4497, 538, 30907, 267, 678, 8775, 543, 20025, 2623, 630, 5719, 289, 517, 334, 1696, 620, 1421, 476, 1001, 271, 282, 12821, 650, 3999, 267, 476, 1001, 273, 1070, 543, 5480, 16488, 616, 811, 2693, 547, 2490, 1524, 513, 26956, 781, 7662, 585, 1612, 1961, 607, 741, 1533, 1582, 20820, 11527, 8460, 1369, 513, 1554, 630, 291, 11961, 9528, 1696, 620, 1421, 476, 1001, 272, 5148, 4174, 330, 5944, 267, 519, 7771, 538, 16488, 262, 18515, 547, 9886, 1612, 1961, 556, 2692, 1824, 1739, 5712, 540, 1426, 4616, 267, 11021, 602, 1978, 5686, 540, 9397, 25579, 880, 519, 2200, 5885, 1533, 1582, 20820, 563, 763, 2034, 11984, 568, 1063, 2019, 819, 531, 607, 10353, 547, 791, 14601, 3157, 630, 291, 3089, 10290, 543, 23415, 6199, 267, 476, 1001, 276, 1040, 5292, 819, 531, 3157, 1489, 1582, 20820, 543, 1331, 3007, 267, 5464, 267, 4058, 267, 829, 13367, 532, 267, 543, 22629, 269, 4107, 540, 519, 3157, 5817, 519, 2019, 819, 531, 2427, 540, 1582, 20820, 2887, 896, 519, 1625, 1613, 540, 10324, 8647, 630, 291, 3554, 1180, 267, 476, 1001, 274, 1040, 6764, 14601, 3157, 267, 538, 4334, 267, 3541, 841, 1582, 20820, 543, 1331, 15398, 8417, 547, 12587, 267, 1981, 23824, 267, 513, 1459, 15129, 11721, 1956, 1821, 2728, 539, 5133, 267, 543, 1808, 1039, 11881, 610, 26351, 563, 763, 2019, 819, 531, 27780, 14601, 11984, 568, 3226, 1713, 585, 1153, 27070, 1453, 607, 519, 5817, 3157, 1689, 1282, 1646, 267, 693, 1114, 3928, 267, 543, 593, 513, 942, 2275, 6847, 602, 5526, 8471, 585, 3335, 3384, 5095, 269, 1280, 1383, 267, 538, 1713, 3444, 14426, 1382, 676, 23415, 6199, 1696, 620, 269, 630, 1001, 278, 1070, 2164, 1397, 602, 14815, 5498, 22701, 19589, 693, 1472, 476, 866, 1296, 6466, 1582, 20820, 19589, 543, 3788, 7123, 1063, 476, 2537, 543, 476, 2918, 1296, 630, 8201, 476, 272, 1040, 14608, 14688, 267, 1287, 267, 791, 14601, 3157, 971, 607, 14815, 5498, 22701, 3914, 513, 15398, 1533, 1354, 1582, 20820, 814, 4628, 9921, 323, 630, 293, 9567, 7719, 543, 29965, 3467, 267, 476, 1001, 277, 1040, 1452, 1114, 1319, 584, 1049, 24551, 948, 2491, 1946, 18273, 568, 2404, 609, 519, 5920, 540, 22672, 1652, 543, 13948, 5739, 3664, 543, 3527, 1765, 785, 545, 894, 540, 513, 17528, 1582, 20820, 1062, 1765, 9188, 3145, 513, 11931, 2333, 538, 2019, 819, 531, 4390, 269, 634, 1491, 25571, 5048, 568, 602, 7855, 1590, 2708, 1312, 519, 2019, 819, 531, 543, 791, 14601, 3157, 5817, 2623, 607, 2901, 610, 1312, 949, 581, 3743, 585, 3541, 9430, 519, 4316, 547, 1451, 543, 1118, 1434, 3664, 563, 8201, 476, 272, 269, 15448, 538, 14815, 5498, 22701, 630, 3847, 267, 1283, 264, 543, 1582, 20820, 630, 3847, 267, 5377, 264, 607, 513, 1599, 540, 2085, 630, 611, 2194, 539, 689, 23415, 6199, 1696, 620, 1421, 476, 1001, 278, 1040, 5637, 14815, 5498, 22701, 543, 1582, 20820, 941, 6508, 689, 513, 12432, 2268, 1519, 12220, 543, 2773, 10526, 269, 634, 5750, 593, 519, 1318, 2706, 574, 5099, 519, 11095, 24551, 540, 14815, 5498, 22701, 543, 1582, 20820, 543, 2982, 630, 2775, 2699, 267, 1769, 4544, 264, 3604, 538, 519, 12557, 540, 741, 9757, 19589, 543, 6676, 9476, 563, 763, 16023, 15581, 543, 2019, 819, 531, 27780, 14601, 21441, 723, 1463, 10083, 547, 3610, 267, 1519, 711, 1152, 875, 789, 948, 1453, 1332, 855, 875, 789, 4383, 741, 1378, 7145, 269, 9603, 547, 1367, 3604, 602, 616, 6829, 2038, 538, 1272, 267, 930, 1453, 1765, 18034, 1346, 609, 3929, 18063, 1765, 15884, 12446, 538, 519, 4928, 609, 1970, 16023, 1582, 20820, 267, 21022, 1533, 1582, 20820, 267, 1164, 8007, 8417, 267, 543, 4617, 10324, 8647, 602, 896, 15533, 2019, 819, 531, 1582, 20820, 269, 1280, 971, 1453, 267, 519, 2591, 616, 3875, 267, 609, 3007, 3541, 9229, 543, 519, 2702, 547, 6414, 19847, 269, 1280, 1312, 2875, 543, 4116, 267, 621, 568, 1271, 547, 5431, 543, 4188, 519, 2095, 540, 1142, 1554, 607, 946, 540, 1582, 20820, 786, 1267, 538, 22485, 1533, 1582, 20820, 269, 8899, 1229, 1533, 1582, 20820, 568, 2404, 609, 22485, 3007, 543, 2702, 547, 1544, 267, 607, 1134, 607, 811, 19535, 267, 791, 14601, 14699, 630, 11675, 16591, 543, 631, 3120, 1597, 267, 476, 1001, 276, 1916, 763, 12497, 21441, 5941, 1934, 616, 1898, 547, 519, 5542, 543, 6388, 540, 2994, 547, 2708, 543, 7794, 1582, 20820, 269, 594, 2490, 1985, 547, 891, 2994, 267, 4358, 1101, 609, 10526, 563, 8512, 476, 273, 269, 30487, 8682, 4211, 2632, 1503, 454, 10387, 10899, 856, 10767, 7370, 267, 14699, 267, 17140, 267, 543, 791, 520, 1466, 616, 1419, 2404, 609, 2038, 6689, 267, 543, 15398, 538, 2665, 540, 1053, 609, 3929, 18063, 269, 901, 24194, 540, 5615, 1419, 9356, 4057, 1582, 20820, 630, 298, 879, 742, 2006, 543, 8092, 5300, 267, 476, 1001, 274, 1040, 1809, 891, 5615, 666, 581, 3361, 676, 824, 5042, 543, 10444, 2042, 269, 1280, 891, 4128, 267, 543, 1866, 267, 621, 568, 1271, 547, 2708, 1582, 20820, 267, 8939, 2645, 602, 786, 1683, 26129, 585, 519, 1114, 7516, 2404, 609, 713, 4390, 563, 2467, 616, 1082, 2010, 540, 1582, 20820, 4879, 267, 2966, 547, 2232, 1114, 3344, 540, 713, 4390, 267, 1419, 609, 1114, 16097, 630, 1721, 8039, 267, 1294, 667, 3089, 10290, 543, 918, 1716, 267, 476, 1001, 272, 282, 667, 3089, 10290, 543, 14717, 4526, 267, 476, 1001, 276, 1040, 1452, 3604, 1058, 581, 2808, 538, 1769, 540, 1312, 519, 3077, 2551, 543, 519, 10700, 8404, 5817, 4879, 269, 769, 1880, 267, 543, 607 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 3958, 267, 10649, 11414, 11009, 543, 2620, 7244, 2553, 799, 666, 948, 4383, 2589, 540, 4965, 543, 4160, 269, 1717, 267, 621, 568, 1271, 547, 4063, 602, 10649, 1058, 711, 581, 1031, 607, 513, 6852, 2126, 585, 4160, 543, 4965, 267, 543, 2043, 609, 891, 4713, 1058, 849, 3343, 3318, 948, 689, 513, 3782, 8502, 14325, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 563, 268, 16992, 543, 5188, 281, 1711, 12300, 3197, 945, 4497, 538, 6209, 7391, 267, 4543, 547, 2491, 543, 2263, 519, 2257, 2035, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 269, 0, 8080, 547, 938, 3408, 540, 6052, 7232, 2310, 10331, 10662, 256, 5620, 596, 2479, 2219, 827, 1018, 2306, 930, 19269, 543, 3457, 538, 938, 5321, 946, 1447, 1648, 1247, 1869, 3257, 741, 2816, 1134, 286, 2334, 781, 1141, 1648, 4398, 2501, 883, 1404, 256, 4653, 267, 649, 3513, 4685, 883, 713, 4241, 1158, 543, 1451, 1946, 621, 781, 1898, 585, 721, 543, 938, 4541, 269, 1924, 10544, 707, 3206, 11503, 543, 1577, 781, 7832, 593, 713, 3460, 1927, 2439, 5331, 10024, 513, 9589, 267, 13777, 22618, 1753, 602, 18274, 3294, 267, 29397, 6980, 609, 1175, 513, 5905, 267, 543, 8952, 3025, 18241, 1210, 3592, 1100, 1648, 1107, 4992, 899, 513, 14810, 267, 3085, 1405, 621, 286, 1809, 1705, 596, 917, 602, 891, 6909, 18563, 2907, 2291, 538, 2221, 781, 1158, 286, 1452, 5863, 13144, 948, 2149, 938, 1604, 676, 4227, 5739, 5434, 543, 9494, 2724, 593, 1346, 646, 11998, 10626, 12014, 256, 2913, 781, 1265, 856, 811, 827, 873, 2439, 2691, 1004, 2911, 827, 1648, 18026, 14233, 267, 789, 1611, 1022, 3926, 538, 938, 5321, 602, 1281, 922, 2816, 630, 3697, 11067, 8286, 610, 9660, 264, 855, 3096, 1454, 1447, 1648, 3379, 547, 2834, 3283, 269, 901, 1797, 7864, 8511, 9362, 5950, 883, 519, 5790, 267, 799, 2337, 3500, 1524, 2916, 1689, 269, 898, 849, 17990, 3885, 10475, 9489, 1169, 3923, 256, 1215, 15813, 568, 602, 2496, 4131, 781, 1491, 513, 1413, 1472, 707, 1378, 1753, 543, 1294, 952, 972, 616, 1022, 1648, 18026, 14233, 15720, 538, 10750, 8289, 269, 1411, 1522, 723, 2907, 4862, 540, 1919, 1572, 13673, 2207, 294, 312, 5254, 2752, 14468, 2472, 269, 1358, 4163, 513, 2027, 6003, 2016, 676, 519, 2475, 7025, 10466, 10837, 630, 292, 5183, 1070, 6029, 789, 2743, 7453, 4808, 585, 1648, 9806, 269, 5901, 606, 3750, 856, 585, 713, 4544, 20446, 1985, 942, 596, 2811, 10918, 609, 707, 1920, 269, 2368, 1455, 13673, 2207, 294, 312, 5254, 2752, 3688, 1336, 538, 10820, 1331, 14023, 2209, 267, 8670, 13195, 1667, 267, 27445, 6191, 267, 5904, 267, 751, 4582, 2888, 267, 543, 1256, 1769, 15620, 2439, 3086, 267, 1577, 803, 2995, 596, 827, 1079, 9735, 2010, 540, 1648, 18026, 14233, 602, 960, 13300, 585, 707, 1753, 281, 10896, 8279, 543, 5100, 27687, 1846, 269, 8528, 272, 269, 2878, 29612, 28691, 4995, 8617, 2025, 1769, 12712, 2125, 666, 8532, 6266, 540, 1648, 543, 6633, 856, 3533, 267, 1818, 7928, 15143, 547, 5372, 873, 2556, 269, 1717, 267, 8752, 661, 2466, 1154, 667, 1675, 525, 267, 610, 27178, 267, 2063, 909, 547, 476, 1839, 2053, 3476, 543, 8415, 476, 4037, 260, 1447, 1648, 982, 2757, 1651, 663, 525, 30105, 256, 5994, 2348, 835, 1305, 540, 1279, 18835, 8279, 2429, 707, 3003, 6689, 3079, 540, 7683, 4657, 26151, 13050, 15620, 910, 7168, 16517, 267, 26001, 286, 9578, 267, 2094, 789, 5352, 1447, 3002, 267, 789, 1832, 707, 4055, 8799, 543, 635, 325, 344, 1932, 269, 1656, 7058, 1018, 286, 3509, 1187, 4778, 543, 5546, 616, 2139, 19951, 267, 3850, 596, 547, 21160, 707, 2230, 2705, 596, 6999, 2439, 273, 269, 2878, 27319, 14562, 2865, 1846, 4995, 3143, 267, 789, 4465, 1405, 1376, 6158, 1394, 547, 596, 20471, 4166, 267, 855, 891, 562, 604, 1399, 2370, 3457, 2386, 798, 1118, 5883, 707, 1753, 781, 2837, 2653, 890, 6470, 11993, 17065, 5414, 256, 12829, 27687, 1846, 8850, 4188, 1759, 593, 950, 2576, 568, 1753, 610, 2476, 267, 4180, 5021, 4313, 543, 8766, 24906, 1648, 269, 3807, 1589, 827, 1373, 2111, 547, 2490, 1055, 519, 8028, 1354, 6028, 585, 16314, 2786, 689, 707, 6049, 610, 8384, 7641, 1524, 560, 4202, 1247, 5329, 23103, 5210, 3501, 585, 12008, 909, 560, 4202, 269, 2353, 2009, 7064, 547, 891, 13085, 10124, 2439, 3528, 6220, 1648, 18026, 14233, 883, 938, 3232, 2729, 267, 649, 2811, 4543, 8190, 938, 4190, 3047, 585, 2104, 5481, 6730, 11981, 2413, 7036, 7891, 2059, 519, 1259, 269, 1548, 1223, 581, 1732, 982, 602, 286, 8921, 942, 596, 3643, 519, 4558, 609, 707, 1920, 267, 3314, 547, 3406, 585, 1346, 3972, 344, 13673, 2207, 294, 312, 5254, 2752, 27291, 267, 543, 6148, 1256, 2307, 3158, 610, 19033, 952, 596, 666, 4584, 856, 1945, 2027, 585, 707, 1360, 1378, 4055, 256, 8625, 267, 649, 666, 1711, 8902, 5321, 267, 2569, 5533, 267, 543, 1628, 513, 17321, 14182, 269, 8414, 3695, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 303, 6974, 6377, 19889, 5321, 1205, 2966, 547, 1118, 707, 10357, 5326, 513, 4641, 269, 19889, 5321, 616, 693, 519, 21282, 540, 519, 2823, 31987, 540, 1082, 16413, 543, 1753, 9858, 269, 1290, 3228, 267, 2511, 543, 30483, 991, 333, 1406, 1205, 14894, 539, 538, 519, 13287, 540, 4264, 2713, 282, 689, 14711, 6604, 547, 4642, 3653, 563, 763, 1883, 547, 606, 10357, 7888, 22058, 566, 568, 4358, 538, 519, 1318, 1747, 912, 11900, 1637, 543, 14910, 2097, 1101, 267, 543, 1287, 1648, 18026, 14233, 786, 2759, 1394, 707, 1379, 946, 543, 4688, 596, 6666, 269, 3973, 596, 1058, 1847, 593, 547, 782, 519, 1007, 9023, 2029, 269, 2060, 22058, 908, 267, 649, 4043, 547, 1445, 811, 593, 519, 5920, 2864, 982, 519, 13471, 267, 14910, 543, 875, 519, 2777, 3096, 5201, 267, 3154, 543, 1216, 563, 763, 12809, 1374, 6212, 593, 519, 10066, 543, 11768, 540, 707, 1753, 267, 865, 12119, 4365, 3270, 616, 1031, 11179, 547, 3002, 543, 3579, 519, 3959, 269, 1403, 596, 666, 1544, 547, 3068, 5087, 547, 12366, 1047, 5162, 3141, 585, 8022, 267, 1287, 707, 3959, 786, 2154, 2837, 1852, 1282, 519, 1032, 269, 634, 27864, 543, 5887, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 21328, 7232, 2310, 10331, 10662, 257, 607, 851, 540, 834, 9816, 27516, 1299, 670, 26041, 1315, 6052, 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, 1012, 17423, 19029, 281, 589, 5295, 995, 15484, 585, 21023, 532, 519, 8892, 692, 5331, 596, 2811, 3843, 547, 3589, 2436, 621, 786, 4764, 14182, 269, 1411, 1522, 1413, 693, 519, 4365, 9472, 267, 855, 1018, 952, 596, 4769, 1405, 723, 602, 286, 1411, 1223, 1118, 513, 3375, 3529, 256, 589, 3375, 3529, 568, 513, 3126, 540, 2055, 602, 948, 596, 1118, 513, 3375, 267, 899, 513, 2095, 24577, 780, 1103, 713, 1770, 267, 649, 3513, 1451, 875, 547, 1628, 513, 3375, 3529, 585, 513, 10471, 269, 1284, 3513, 946, 513, 2027, 2186, 540, 3375, 3529, 1572, 513, 2878, 2958, 1833, 3529, 1262, 267, 799, 568, 1031, 585, 17782, 10230, 2418, 269, 1284, 3513, 849, 946, 513, 2442, 3684, 1565, 5399, 1572, 2387, 31596, 12452, 799, 2306, 621, 4443, 547, 960, 609, 2338, 538, 5124, 780, 5575, 267, 1577, 781, 3888, 2387, 31596, 319, 676, 4881, 713, 4971, 538, 707, 12363, 1384, 3499, 321, 1662, 454, 26921, 3888, 11885, 454, 7884, 3086, 267, 1577, 781, 1104, 2387, 31596, 319, 543, 1711, 513, 2241, 10471, 1384, 3499, 7090, 454, 5814, 11885, 607, 5286, 692, 258, 8073, 513, 2241, 10471, 454, 30221, 13448, 815, 5286, 15126, 31912, 272, 267, 476, 273, 3910, 1496, 274, 267, 476, 275, 3910, 1496, 276, 267, 476, 277, 3910, 1496, 278, 267, 476, 279, 316, 7481, 30221, 14729, 815, 5286, 15126, 8443, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 7481, 7884, 1103, 713, 10471, 267, 2387, 30221, 13448, 319, 568, 513, 476, 273, 291, 5044, 1141, 1142, 4737, 568, 513, 1239, 1448, 543, 1142, 6241, 568, 513, 4183, 269, 2387, 30221, 14729, 319, 568, 513, 476, 272, 291, 5044, 1141, 1142, 3693, 568, 519, 3077, 1871, 585, 519, 7222, 1239, 1448, 538, 2387, 30221, 13448, 27471, 2162, 8490, 519, 10326, 692, 2414, 1628, 513, 9695, 3529, 267, 649, 3513, 946, 513, 1505, 1572, 2878, 516, 15479, 633, 15652, 532, 1262, 269, 901, 1505, 3322, 24590, 519, 1239, 883, 4130, 543, 4130, 29162, 267, 1759, 593, 519, 2418, 540, 519, 2934, 269, 3962, 8237, 5932, 513, 1007, 6843, 538, 519, 3529, 780, 4131, 781, 1376, 676, 10747, 513, 1362, 585, 938, 3529, 1384, 3499, 7090, 454, 5035, 22953, 21698, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 269, 10174, 815, 7183, 692, 825, 1219, 3514, 4311, 267, 5721, 13448, 267, 5721, 14729, 267, 2597, 2187, 1038, 1582, 269, 10174, 815, 30741, 4590, 1038, 1582, 11519, 28265, 4671, 872, 263, 271, 267, 1582, 269, 10174, 267, 5721, 13448, 267, 5721, 14729, 267, 2597, 994, 7884, 1103, 713, 3009, 267, 649, 5581, 513, 1362, 2387, 8802, 1833, 21698, 319, 609, 513, 1505, 2387, 7257, 13237, 269, 634, 2387, 7257, 13237, 1505, 3217, 538, 519, 2866, 1239, 543, 7125, 519, 4357, 1505, 2387, 318, 28265, 4671, 872, 13237, 547, 1628, 519, 3529, 780, 763, 2387, 318, 28265, 4671, 872, 13237, 1505, 568, 513, 25276, 1599, 602, 13976, 519, 3529, 676, 24590, 519, 1239, 693, 1142, 6843, 269, 1284, 4465, 1405, 979, 883, 519, 3877, 540, 713, 1505, 1934, 267, 855, 596, 666, 1451, 811, 827, 621, 538, 513, 811, 4359, 1576, 780, 2162, 10435, 21023, 687, 692, 5629, 649, 4312, 3710, 519, 3529, 267, 649, 666, 946, 621, 547, 1118, 11236, 269, 1677, 798, 713, 267, 649, 3513, 946, 513, 1505, 1572, 2878, 516, 15479, 633, 21986, 531, 1262, 269, 901, 1505, 3322, 4358, 693, 519, 3597, 540, 519, 3529, 543, 1739, 519, 8371, 2394, 649, 3914, 513, 6978, 6843, 269, 2311, 1142, 6843, 267, 649, 3513, 1118, 513, 3375, 1759, 593, 519, 1871, 540, 519, 4183, 693, 602, 6843, 780, 4131, 781, 5581, 513, 1505, 2387, 335, 9438, 13237, 585, 938, 3529, 1384, 3499, 7090, 454, 825, 1219, 3589, 4311, 267, 1449, 13448, 2187, 1038, 2392, 815, 1582, 11519, 2958, 1833, 6025, 652, 13448, 267, 1582, 269, 10174, 994, 1038, 2132, 2392, 454, 7884, 1103, 713, 3009, 267, 649, 5581, 513, 1505, 2387, 335, 9438, 13237, 602, 3217, 538, 519, 1449, 1239, 543, 7125, 519, 4357, 1505, 2387, 318, 2958, 1833, 13237, 269, 634, 2387, 318, 2958, 1833, 13237, 1505, 568, 513, 25276, 1599, 602, 21986, 525, 519, 3529, 543, 2306, 11236, 1759, 593, 519, 2418, 540, 519, 2934, 693, 1142, 6843, 780, 4131, 781, 1491, 513, 6251, 1413, 693, 519, 2387, 318, 2958, 1833, 13237, 1505, 1384, 3499, 7090, 454, 825, 1219, 9041, 2958, 1833, 4311, 267, 1239, 281, 5286, 269, 526, 6783, 267, 6843, 281, 30741, 2187, 1038, 952, 6843, 8807, 324, 1155, 568, 7183, 912, 2018, 2132, 5286, 269, 21459, 12759, 16597, 1070, 6843, 27841, 2020, 1038, 4183, 815, 6843, 8807, 324, 1155, 454, 1038, 26986, 815, 6843, 269, 628, 11611, 454, 1038, 2392, 815, 5286, 25910, 12759, 16597, 11723, 1038, 2451, 16182, 343, 815, 5286, 15126, 8443, 328, 585, 1775, 538, 2039, 12759, 16597, 4297, 952, 630, 11907, 5157, 6012, 10623, 1155, 316, 2999, 26986, 264, 7481, 1038, 1318, 16182, 343, 815, 5286, 15126, 8443, 328, 585, 1775, 538, 2039, 12759, 16597, 4297, 952, 630, 11907, 5157, 6012, 10623, 1155, 316, 13843, 26986, 13580, 2020, 1038, 2451, 13448, 267, 1318, 13448, 815, 1582, 11519, 20889, 16597, 267, 2451, 16182, 343, 267, 1318, 16182, 343 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6600, 9347, 274, 267, 12296, 284, 1789, 14720, 4650, 12296, 284, 277, 267, 3667, 19702, 762, 284, 2452, 20713, 994, 18782, 318, 2452, 20713, 26942, 21405, 284, 271, 267, 26383, 284, 272, 994, 327, 842, 9078, 8475, 284, 299, 8475, 6600, 9347, 273, 267, 3667, 6889, 338, 9876, 519, 2372, 652, 585, 20726, 257, 266, 340, 9899, 315, 1822, 272, 293, 2568, 280, 2580, 325, 2632, 14352, 736, 4917, 327, 842, 9078, 8475, 4877, 871, 4590, 11034, 318, 31728, 284, 3719, 2023, 6600, 9347, 273, 267, 3667, 6889, 11034, 3014, 2580, 325, 326, 6889, 18872, 2580, 321, 326, 6889, 258, 272, 2465, 32699, 2580, 325, 2632, 284, 2891, 13681, 9369, 2580, 2568, 2437, 321, 1245, 19823, 12252, 284, 327, 728, 6958, 9347, 272, 16062, 4372, 994, 11034, 318, 31728, 4877, 871, 10797, 19638, 19638, 692, 10174, 342, 4372, 6230, 664, 31467, 3890, 0, 2162, 4067, 14091, 367, 478, 424, 486, 502, 423, 354, 376, 834, 425, 502, 482, 424, 356, 478, 257, 423, 350, 506, 21844, 367, 510, 32510, 499, 424, 489, 506, 425, 480, 353, 424, 356, 478, 10563, 499, 488, 422, 367, 510, 1843, 423, 354, 376, 14091, 356, 490, 423, 497, 353, 423, 499, 490, 8528, 5035, 12287, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 2012, 267, 2085, 2567, 16875, 1948, 30976, 714, 2801, 454, 1038, 1582, 20508, 476, 815, 2012, 454, 1038, 1582, 269, 720, 815, 2085, 692, 825, 1219, 2161, 318, 31435, 4311, 267, 547, 12173, 2567, 672, 1948, 263, 423, 486, 482, 422, 369, 361, 423, 354, 376, 264, 27338, 423, 507, 376, 32629, 498, 10563, 481, 486, 423, 350, 506, 424, 504, 368, 10563, 507, 372, 28990, 494, 10563, 370, 498, 32174, 478, 454, 1038, 1820, 2891, 424, 499, 486, 423, 483, 499, 256, 834, 1341, 547, 12173, 1341, 834, 14091, 480, 502, 32629, 498, 834, 1341, 1582, 20508, 994, 8931, 825, 1219, 6338, 4311, 2187, 1038, 1820, 2891, 423, 480, 368, 10563, 507, 368, 423, 355, 482, 14602, 478, 834, 1341, 1582, 20508, 1341, 834, 21844, 371, 372, 423, 355, 361, 422, 367, 510, 14091, 480, 502, 32629, 498, 834, 1341, 1193, 4311, 269, 720, 264, 1341, 834, 10563, 480, 368, 27338, 424, 499, 376, 5602, 14030, 3546, 1948, 720, 32629, 498, 10563, 486, 360, 28990, 494, 425, 481, 478, 28990, 483, 14602, 502, 14091, 367, 478, 424, 486, 502, 423, 507, 376, 267, 10563, 486, 360, 28990, 494, 285, 423, 361, 372, 28990, 494, 29306, 368, 29030, 481, 478, 28990, 483, 424, 506, 376, 423, 350, 506, 10563, 374, 494, 424, 488, 353, 425, 490, 483, 476, 17432, 482, 424, 504, 498, 454, 529, 8475, 815, 12287, 2891, 425, 502, 482, 424, 356, 478, 2580, 476, 2764, 994, 529, 8475, 269, 842, 28558, 10797, 692, 2162, 10563, 481, 479, 424, 484, 491, 263, 514, 615, 13330, 2567, 21844, 367, 369, 425, 484, 369, 1362, 32174, 478, 10563, 508, 486, 422, 367, 510, 267, 10563, 499, 482, 423, 508, 502, 29306, 494, 10563, 482, 372, 423, 370, 478, 1362, 14091, 356, 490, 423, 497, 353, 14091, 499, 490, 692, 5035, 17318, 27456, 3205, 2567, 672, 1948, 21691, 823, 27338, 423, 508, 478, 1362, 32174, 478, 12287, 27338, 423, 508, 478, 1362, 423, 354, 376, 10563, 481, 479, 424, 484, 491, 454, 825, 1219, 10654, 4311, 267, 547, 318, 541, 6135, 2187, 1038, 1820, 2891, 423, 482, 490, 10563, 366, 368, 425, 493, 361, 423, 494, 494, 30319, 267, 834, 1341, 547, 318, 541, 6135, 2020, 5035, 5358, 1067, 27456, 3205, 2187, 825, 1219, 1982, 4311, 267, 547, 318, 32491, 2187, 1038, 1820, 2891, 30319, 14602, 490, 29306, 498, 14091, 511, 502, 14091, 356, 490, 423, 497, 353, 424, 356, 478, 286, 10563, 499, 482, 10563, 507, 368, 422, 365, 372, 14091, 356, 490, 423, 497, 353, 424, 500, 368, 424, 499, 376, 422, 366, 510, 30319, 281, 834, 1341, 547, 318, 32491, 2020, 529, 8475, 815, 12287, 2891, 425, 502, 482, 424, 356, 478, 2580, 476, 2764, 994, 1540, 815, 17318, 2891, 423, 493, 503, 422, 371, 506, 2580, 476, 3066, 994, 16660, 742, 815, 5358, 1067, 2891, 424, 364, 377, 425, 502, 482, 2580, 476, 2537, 2020, 1540, 269, 842, 28558, 3890, 8587, 1948, 21691, 823, 27338, 423, 507, 376, 32629, 498, 1362, 424, 499, 486, 29306, 494, 476, 17432, 357, 424, 486, 502, 423, 354, 376, 10654, 476, 17432, 502, 423, 480, 502, 423, 364, 500, 29306, 494, 10563, 499, 486, 423, 482, 352, 29306, 486, 424, 506, 376, 423, 480, 502, 6338, 476, 17432, 357, 424, 486, 502, 423, 354, 376, 10563, 497, 372, 10563, 486, 502, 10563, 508, 486, 422, 366, 490, 423, 494, 357, 454, 1540, 30784, 6135, 2891, 423, 493, 482, 423, 495, 495, 5602, 16660, 742, 269, 842, 28558, 4590, 16660, 742, 269, 32491, 2891, 27338, 423, 358, 498, 14602, 376, 29030, 479, 368, 423, 507, 376, 27338, 424, 500, 372, 425, 488, 372, 8442, 0, 2162, 16515, 921, 692, 343, 14352, 272, 267, 273, 267, 274, 994, 344, 284, 3488, 320, 12887, 321, 12887, 322, 5073, 345, 14352, 272, 2437, 31435, 14824, 11004, 15419, 2745, 3287, 20742, 994, 2745, 3488, 320, 262, 538, 586, 264, 16875, 1948, 586, 29306, 494, 1412, 320, 262, 32174, 478, 10563, 508, 486, 32629, 498, 424, 356, 478, 454, 2745, 18750, 28827, 263, 272, 4297, 1038, 1948, 1990, 29306, 494, 476, 272, 27338, 14091, 359, 485, 423, 366, 486, 424, 356, 372, 14602, 372, 424, 356, 478, 692, 258, 1592, 424, 503, 478, 24042, 14602, 502, 10563, 364, 357, 27338, 32510, 494, 912, 258, 24042, 14602, 478, 7084, 263, 32174, 496, 14091, 364, 498, 422, 379, 498, 424, 373, 502, 422, 372, 364, 262, 1535, 263, 273, 6661, 1015, 264, 27338, 10563, 499, 486, 423, 494, 357, 282, 1799, 17014, 263, 423, 370, 486, 423, 367, 478, 264, 2999, 15010, 4573, 14410, 263, 32174, 478, 423, 367, 478, 2020, 0, 258, 12877, 289, 1678, 7420, 454, 258, 21602, 585, 13013, 454, 5814, 15259, 692, 258, 21602, 585, 1016, 15263, 270, 3410, 1400, 3977, 454, 258, 1104, 1016, 15263, 454, 258, 609, 1930, 2891, 16059, 17902, 2580, 834, 342, 266, 8442, 607, 3977, 912, 258, 825, 1016, 15263, 6983, 718, 8443, 257, 7090, 2580, 834, 32220, 10852, 18258, 257, 3910, 31901, 719, 284, 16059, 2020, 258, 21602, 585, 2542, 11483, 309, 3758, 454, 5814, 26417, 692, 322, 12364, 12949, 815, 15259, 29624, 12459, 7765, 3488, 4910, 1545, 3299, 1412, 321, 644, 1326, 12774, 27406, 17210, 258, 20865, 7335, 1210, 11483, 309, 9074, 692, 5976, 1930, 6262, 12364, 12949, 267, 1007, 1467, 284, 5257, 264, 607, 26417, 12803, 912, 8931, 825, 1948, 11483, 309, 5467, 23403, 1642, 574, 3438, 543, 4756, 602, 6585, 9115, 454, 825, 26417, 1348, 518, 815, 26417, 18667, 518, 6262, 12364, 12803, 267, 1642, 574, 3438, 284, 12887, 2020, 825, 1948, 5192, 2698, 1297, 540, 3275, 454, 825, 2698, 318, 3000, 2195, 815, 476, 271, 454, 825, 2698, 5332, 564, 318, 26920, 815, 476, 271, 454, 825, 9674, 318, 24629, 815, 11713, 825, 9674, 318, 26920, 815, 11713, 825, 585, 4737, 538, 26417, 1348, 518, 912, 1038, 9674, 318, 24629, 6910, 21405, 314, 271, 7481, 1038, 9674, 318, 26920, 6910, 21405, 314, 272, 7481, 1038, 2698, 318, 3000, 2195, 6834, 476, 272, 454, 672, 3097, 825, 1948, 5192, 2698, 2121, 2179, 540, 30825, 13624, 1601, 454, 22322, 825, 9674, 318, 24629, 21014, 263, 271, 994, 825, 9674, 318, 26920, 21014, 263, 271, 994, 13872, 825, 703, 26000, 1706, 730, 318, 26920, 815, 1496, 842, 3287, 264, 585, 1535, 538, 9674, 318, 26920, 6540, 825, 2698, 5332, 564, 318, 26920, 815, 2040, 17301, 26000, 1706, 730, 318, 26920, 2020, 825, 1948, 5192, 519, 3328, 1689, 538, 30825, 13624, 1601, 454, 825, 3328, 318, 4219, 815, 476, 271, 454, 825, 9674, 318, 24629, 21014, 263, 271, 994, 825, 10865, 318, 4219, 8217, 815, 1496, 842, 26000, 1706, 730, 318, 26920, 5157, 266, 272, 316, 910, 703, 26000, 1706, 730, 318, 26920, 5157, 316, 585, 1775, 538, 2039, 12759, 17301, 26000, 1706, 730, 318, 26920, 264, 910, 272, 22708, 825, 3328, 318, 4219, 815, 2040, 263, 24629, 569, 318, 4219, 8217, 8358, 6352, 263, 24629, 569, 318, 4219, 8217, 994, 825, 454, 825, 1948, 5192, 519, 6574, 2333, 538, 12434, 630, 11845, 543, 2179, 264, 936, 519, 3003, 1974, 692, 825, 521, 318, 24629, 267, 544, 318, 4219, 8217, 815, 9674, 318, 24629, 267, 10865, 318, 4219, 8217, 8931, 11434, 454, 825, 6574, 18425, 920, 848, 815, 3193, 9852, 318, 4219, 8217, 994, 825, 6574, 18425, 920, 848, 16229, 815, 544, 318, 4219, 8217, 28827, 32384, 9852, 318, 4219, 8217, 11723, 825, 454, 825, 1948, 5192, 519, 6574, 6175, 538, 9271, 630, 11845, 543, 2179, 264, 936, 519, 3003, 1974, 454, 825, 6574, 318, 1372, 920, 848, 815, 1295, 263, 24629, 569, 318, 4219, 8217, 994, 825, 6574, 318, 1372, 920, 848, 16229, 815, 10865, 318, 4219, 8217, 28827, 263, 2381, 263, 24629, 569, 318, 4219, 8217, 11723, 825, 1820, 2891, 26296, 5811, 5602, 825, 1820, 2891, 10900, 955, 268, 5602, 825, 1820, 2891, 13707, 3933, 2195, 281, 834, 1341, 1193, 6025, 4973, 318, 3000, 2195, 268, 272, 4917, 825, 1820, 2891, 13707, 281, 1269, 257, 266, 1193, 6025, 4973, 5332, 564, 318, 26920, 4917, 825, 1820, 2891, 30182, 7827, 281, 1269, 257, 1341, 1193, 263, 1037, 5416, 2071, 318, 4219, 267, 476, 273, 21875, 825, 1820, 2891, 15124, 652, 21561, 538, 4515, 1080, 281, 834, 1341, 521, 318, 24629, 314, 24030, 652, 18425, 920, 848, 16229, 316, 1341, 834, 18121, 257, 1341, 1193, 14116, 805, 652, 18425, 920, 848, 264, 1341, 834, 264, 5602, 825, 1820, 2891, 15124, 652, 28206, 848, 538, 4515, 1080, 281, 834, 1341, 521, 318, 24629, 314, 24030, 652, 318, 1372, 920, 848, 16229, 316, 1341, 834, 18121, 257, 1341, 1193, 14116, 805, 652, 318, 1372, 920, 848, 264, 1341, 834, 264, 8442, 0, 258, 6936, 543, 8771, 454, 258, 891, 616, 513, 1239, 1826, 1572, 513, 1630, 18978, 692, 2745, 263, 16178, 994, 2745, 263, 6943, 263, 16178, 11723, 2745, 263, 12148, 994, 2745, 263, 6943, 263, 12148, 11723, 2745, 263, 14085, 994, 2745, 263, 6943, 263, 14085, 11723, 2162, 8298, 673, 543, 4086, 2153, 12427, 454, 258, 1452, 1226, 622, 543, 6218, 4082, 543, 1267, 538, 6936, 610, 8771, 692, 2745, 2891, 6748, 9266, 6730, 5602, 258, 9266, 6730, 1226, 919, 1079, 2427, 6730, 645, 30862, 991, 547, 581, 3020, 547, 1267, 538, 3020, 454, 258, 6936, 543, 6936, 25341, 3020, 454, 2745, 263, 12148, 543, 6936, 994, 258, 8771, 543, 6936, 25341, 7301, 454, 2745, 263, 16178, 543, 6936, 9239, 2745, 2891, 6748, 9266, 10758, 5602, 258, 9266, 610, 1226, 919, 1079, 2427, 6730, 1152, 835, 2115, 547, 581, 3020, 547, 1267, 538, 3020, 454, 258, 6936, 610, 6936, 25341, 3020, 454, 2745, 263, 12148, 610, 6936, 994, 258, 8771, 543, 6936, 25341, 7301, 454, 2745, 263, 16178, 610, 6936, 2020, 0, 258, 23911, 9238, 692, 258, 1820, 3890, 9577, 4534, 15010, 16493, 547, 23641, 454, 2745, 3488, 15916, 713, 568, 12673, 17210, 258, 1826, 3890, 25341, 7024, 1239, 1826, 454, 2745, 263, 6943, 3488, 31435, 29125, 2745, 263, 279, 994, 2745, 3488, 279, 17210, 258, 24438, 4534, 454, 258, 898, 781, 899, 513, 4216, 267, 596, 666, 1039, 8631, 3330, 454, 258, 621, 814, 513, 2012, 692, 258, 10472, 568, 4259, 519, 4756, 2835, 547, 519, 5569, 834, 23613, 19033, 11188, 667, 611, 4840, 9248, 815, 834, 23613, 19033, 267, 4057, 667, 611, 4840, 273, 265, 2537, 1948, 337, 12584, 855, 568, 711, 4688, 538, 4756, 547, 581, 1031, 2663, 454, 1038, 1948, 663, 568, 711, 9102, 270, 537, 1584, 547, 23641, 454, 15893, 318, 680, 919, 815, 476, 273, 2608, 476, 1015, 454, 258, 1820, 17016, 519, 9115, 883, 519, 23641, 865, 25723, 666, 1294, 621, 454, 2745, 263, 9248, 994, 2745, 28840, 318, 680, 919, 994, 2745, 263, 273, 2608, 476, 2537, 2020 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 17445, 687, 281, 901, 4976, 568, 2966, 547, 948, 596, 3313, 875, 1082, 32122, 540, 519, 476, 1001, 276, 268, 1708, 271, 26678, 13832, 596, 8532, 269, 901, 786, 2285, 596, 513, 4960, 547, 2689, 519, 5227, 5666, 267, 543, 1294, 875, 596, 5635, 563, 268, 634, 476, 1001, 276, 268, 1708, 271, 26678, 13832, 616, 7396, 538, 519, 5750, 2630, 543, 786, 581, 1031, 547, 5659, 707, 1426, 6981, 563, 268, 8525, 476, 273, 3568, 513, 1426, 2845, 267, 1141, 596, 786, 2594, 782, 540, 519, 1426, 543, 16098, 596, 8532, 563, 268, 8525, 476, 274, 3568, 513, 3349, 1141, 596, 786, 5659, 707, 9422, 6981, 3379, 547, 519, 22340, 26678, 13832, 543, 1287, 2626, 513, 3126, 540, 1582, 3887, 1998, 6672, 2055, 563, 1001, 276, 268, 1708, 271, 22340, 26678, 13832, 454, 9616, 281, 634, 1739, 616, 1759, 593, 513, 476, 1220, 271, 17811, 2732, 585, 606, 476, 1240, 266, 10455, 2025, 2937, 2687, 547, 519, 476, 1001, 276, 268, 1708, 271, 26678, 13832, 563, 291, 8543, 281, 22340, 30318, 2179, 281, 476, 274, 11680, 27473, 454, 1892, 1548, 12523, 607, 476, 272, 7484, 281, 476, 277, 26412, 6712, 540, 3170, 6954, 18506, 568, 3160, 547, 476, 274, 270, 275, 7484, 25668, 20884, 10683, 282, 476, 272, 476, 272, 270, 273, 13728, 6712, 540, 524, 1117, 323, 541, 10381, 568, 3160, 547, 476, 272, 7484, 25668, 20884, 10683, 454, 3682, 12888, 281, 22340, 30318, 2179, 281, 476, 276, 269, 276, 13728, 27473, 454, 1892, 1548, 12523, 607, 476, 272, 26412, 281, 476, 272, 1804, 4212, 568, 3160, 547, 476, 272, 26412, 25668, 20884, 3940, 3536, 282, 476, 273, 26486, 540, 24113, 7423, 568, 3160, 547, 476, 273, 26412, 25668, 2526, 757, 3940, 3536, 282, 476, 272, 26412, 6712, 540, 9267, 22756, 568, 3160, 547, 476, 273, 26412, 25668, 2526, 757, 3940, 1426, 282, 476, 272, 270, 273, 7484, 6712, 540, 3109, 10365, 568, 3160, 547, 476, 273, 26412, 25668, 2526, 757, 3940, 3536, 282, 476, 275, 26412, 6712, 540, 20230, 568, 3160, 547, 476, 275, 26412, 25668, 2526, 757, 3940, 3536, 454, 293, 21209, 281, 22340, 30318, 2179, 281, 476, 273, 11680, 27473, 454, 1892, 1548, 12523, 607, 476, 272, 7484, 281, 476, 272, 270, 273, 7484, 6712, 540, 22229, 568, 3160, 547, 476, 272, 270, 273, 7484, 25668, 20884, 4829, 282, 476, 274, 270, 275, 7484, 6712, 540, 476, 1911, 260, 10538, 10433, 568, 3160, 547, 476, 274, 270, 275, 7484, 25668, 20884, 4829, 282, 476, 272, 270, 275, 7484, 6712, 540, 986, 529, 1231, 568, 3160, 547, 476, 272, 270, 273, 7484, 25668, 20884, 4829, 454, 309, 1122, 564, 1963, 281, 22340, 30318, 2179, 281, 476, 273, 269, 276, 11680, 27473, 454, 1892, 1548, 12523, 607, 476, 272, 7484, 281, 476, 272, 270, 273, 7484, 6712, 540, 3039, 10365, 568, 3160, 547, 476, 272, 270, 273, 7484, 25668, 20884, 5388, 282, 476, 272, 7484, 6712, 540, 6151, 22156, 568, 3160, 547, 476, 272, 270, 273, 7484, 25668, 20884, 5388, 454, 294, 23230, 281, 22340, 30318, 2179, 281, 476, 277, 13728, 27473, 454, 1892, 1548, 12523, 607, 476, 272, 26412, 281, 476, 272, 20105, 540, 3694, 568, 3160, 547, 476, 272, 26412, 25668, 20884, 9274, 282, 476, 272, 270, 273, 7484, 6712, 540, 11273, 6960, 7573, 568, 3160, 547, 476, 272, 26412, 25668, 20884, 9274, 454, 306, 13610, 281, 22340, 30318, 2179, 281, 8766, 27473, 454, 1892, 3117, 2541, 1447, 982, 476, 1015, 2600, 540, 8477, 829, 1554, 689, 3773, 14836, 454, 293, 520, 281, 22340, 30318, 2179, 281, 8766, 27473, 454, 1892, 3117, 2541, 1447, 982, 476, 1015, 2600, 540, 8477, 829, 1554, 689, 15459, 9600, 454, 14303, 7205, 689, 4179, 2517, 8234, 10993, 7933, 2884, 776, 7666, 573, 3894, 270, 1001, 276, 270, 637, 1545, 270, 1001, 276, 268, 1708, 271, 32707, 2884, 776, 318, 21980, 3894, 15005, 593, 476, 6860, 270, 5400, 270, 1001, 280, 563, 15933, 8298, 281, 715, 26798, 2271, 820, 31524, 454, 13434, 867, 707, 6980, 267, 16152, 267, 10425, 267, 3092, 269, 936, 513, 476, 274, 1554, 1974, 269, 1280, 1142, 7594, 267, 1683, 519, 4266, 267, 707, 7594, 1543, 267, 543, 3313, 519, 1297, 540, 32122, 689, 1142, 1426, 1895, 269, 3629, 2347, 3877, 543, 1239, 630, 5408, 1383, 4737, 2630, 1916, 14630, 16680, 7594, 1543, 1934, 16680, 32122, 543, 540, 799, 1426, 1895, 454, 276, 270, 1321, 16505, 9724, 476, 16006, 7484, 540, 27046, 22596, 630, 18478, 609, 1216, 1070, 476, 26528, 540, 986, 529, 1231, 267, 476, 273, 11680, 540, 6995, 630, 5976, 476, 272, 512, 4944, 269, 4006, 1142, 1040, 717, 1778, 281, 476, 272, 12063, 269, 7674, 454, 293, 8816, 281, 476, 26528, 7484, 12015, 4829, 815, 476, 16006, 7484, 4195, 4829, 454, 306, 13610, 281, 476, 273, 512, 338, 1186, 563, 301, 26798, 2271, 820, 5811, 543, 8682, 3887, 1998, 6672, 454, 18800, 519, 5253, 8298, 540, 707, 6981, 585, 519, 476, 274, 1554, 1974, 269, 769, 519, 5750, 2630, 267, 585, 1142, 1554, 267, 2594, 519, 1297, 540, 32122, 596, 10057, 689, 1142, 7121, 269, 21302, 707, 6981, 3379, 547, 519, 22340, 4808, 543, 2626, 519, 1582, 3887, 1998, 6672, 2055, 538, 2347, 5220, 267, 1210, 1697, 10259, 543, 8239, 563, 291, 8543, 4419, 902, 19871, 4419, 902, 22500, 4419, 902, 17164, 762, 4419, 902, 717, 1778, 454, 291, 2905, 22340, 26678, 13832, 585, 606, 16989, 265, 476, 274, 11680, 476, 276, 269, 276, 13728, 476, 273, 11680, 476, 273, 269, 276, 11680, 476, 277, 13728, 8766, 8766, 454, 268, 9122, 593, 513, 476, 1220, 271, 17811, 2732, 585, 606, 476, 1240, 266, 10455, 2025, 2937, 2687, 547, 519, 476, 1001, 276, 268, 1708, 271, 26678, 13832, 563, 268, 769, 799, 2127, 540, 707, 9422, 6981, 1705, 596, 798, 1134, 888, 268, 6904, 2127, 540, 707, 9422, 6981, 991, 16369, 888, 268, 1548, 616, 930, 1808, 4189, 7933, 8667, 532, 2242, 596, 1223, 1118, 547, 1732, 3666, 707, 9422, 6981, 888, 268, 2991, 7421, 707, 9422, 6981, 543, 9236, 621, 547, 519, 22340, 4808, 267, 1018, 14281, 596, 888, 7069, 3408, 1957, 3382, 1585, 5380, 593, 13411, 3190, 12310, 543, 9409, 1095, 1878, 689, 1585, 10764, 269, 4906, 2441, 267, 1282, 1010, 2067, 3028, 267, 4810, 3875, 9409, 14326, 269, 30052, 267, 9039, 540, 873, 729, 811, 7986, 982, 4906, 2441, 269, 5015, 267, 950, 3781, 3357, 267, 789, 4547, 547, 1864, 3875, 945, 941, 1185, 609, 535, 328, 1742, 267, 543, 676, 519, 2262, 646, 5641, 856, 1629, 976, 267, 543, 973, 10967, 730, 782, 519, 530, 21317, 856, 257, 630, 31861, 476, 279, 281, 1626, 1040, 634, 6392, 540, 4906, 2441, 936, 9409, 14326, 729, 835, 540, 519, 2357, 5874, 602, 646, 729, 519, 12312, 540, 2696, 630, 299, 8123, 476, 1556, 281, 736, 1040, 634, 1821, 2812, 602, 1558, 4906, 2441, 6785, 1018, 1010, 3961, 729, 267, 543, 789, 23487, 539, 1864, 281, 834, 1432, 798, 596, 723, 609, 721, 267, 4906, 267, 12312, 540, 2696, 286, 5620, 596, 2097, 1934, 547, 25711, 721, 1354, 707, 942, 286, 834, 263, 31861, 476, 279, 281, 3066, 1040, 634, 9409, 14326, 8275, 602, 741, 1439, 786, 581, 835, 540, 25711, 269, 634, 4168, 5133, 593, 30616, 543, 1010, 1821, 2812, 27057, 3801, 547, 21933, 30185, 18705, 676, 2696, 543, 8945, 3388, 945, 666, 630, 272, 8834, 476, 276, 281, 476, 279, 267, 476, 273, 29833, 2103, 476, 1556, 281, 476, 1691, 268, 1428, 1040, 8061, 2812, 616, 17814, 607, 30255, 14326, 630, 31861, 476, 1015, 281, 476, 272, 267, 4460, 476, 272, 281, 2767, 1070, 14084, 14326, 630, 272, 18301, 476, 2420, 281, 2537, 264, 543, 519, 25552, 3190, 12310, 540, 30616, 630, 3725, 28156, 476, 1321, 281, 476, 280, 1040, 30616, 543, 1010, 1821, 2812, 26372, 342, 1074, 519, 1158, 630, 273, 29833, 2103, 476, 275, 281, 476, 275, 1070, 17551, 519, 536, 690, 639, 6240, 630, 272, 30227, 476, 275, 281, 476, 272, 1070, 14213, 10271, 630, 273, 29833, 2103, 476, 1321, 281, 476, 278, 267, 476, 272, 8834, 476, 276, 281, 476, 279, 264, 543, 6370, 519, 10723, 25552, 3190, 12310, 630, 3725, 28156, 476, 1321, 281, 476, 275, 268, 280, 264, 10271, 3398, 602, 5915, 976, 610, 15468, 25552, 3190, 12310, 616, 535, 3996, 540, 2696, 267, 2943, 789, 616, 8709, 638, 1639, 10779, 2456, 269, 4906, 2441, 834, 4532, 777, 659, 18469, 519, 4229, 257, 543, 834, 10603, 1551, 21724, 873, 538, 3376, 21765, 676, 6029, 873, 538, 1010, 4619, 16124, 1184, 542, 257, 630, 8624, 1601, 2103, 476, 273, 281, 1428, 715, 4353, 1040, 2755, 649, 10505, 547, 2696, 543, 28586, 519, 5636, 664, 267, 649, 1810, 1405, 723, 4376, 547, 4250, 269, 834, 585, 811, 7986, 568, 646, 602, 568, 538, 596, 267, 982, 646, 602, 568, 593, 519, 4541, 257, 630, 272, 3627, 476, 275, 281, 476, 275, 1040, 10271, 3972, 4911, 1564, 616, 2673, 547, 1753, 7096, 7068, 267, 945, 723, 1702, 267, 4606, 543, 786, 269, 901, 568, 4570, 538, 519, 1079, 12204, 540, 25552, 3190, 12310, 1390, 543, 535, 328, 754, 880, 1145, 630, 22563, 2812, 1040, 10513, 3190, 12310, 723, 5813, 630, 31861, 476, 279, 281, 3066, 267, 476, 273, 29833, 2103, 476, 1556, 281, 476, 274, 267, 476, 272, 8834, 476, 272, 281, 1321, 1070, 1397, 4606, 630, 299, 8123, 476, 273, 281, 1724, 267, 6276, 476, 273, 281, 866, 267, 31694, 476, 1321, 281, 476, 278, 1070, 543, 1397, 602, 789, 723, 513, 786, 630, 299, 8123, 476, 279, 2433, 476, 2764, 268, 4029, 282, 476, 273, 30227, 476, 273, 281, 2918, 282, 7225, 324, 476, 277, 1040, 645, 1652, 539, 3190, 12310, 616, 7096, 7068, 630, 3891, 3691, 9749, 476, 272, 281, 1691, 1070, 1510, 513, 9758, 4890, 1560, 269, 634, 1259, 602, 789, 1810, 1405, 723, 4703, 3085, 1405, 3310, 519, 1259, 602, 789, 723, 3197, 269, 634, 1344, 6417, 676, 31676, 7390, 1218, 568, 11658, 267, 676, 519, 4641, 540, 1373, 1500, 7068, 269, 901, 10522, 602, 789, 616, 711, 782, 268, 3104, 532, 607, 2696, 630, 31861, 476, 2190, 281, 3607, 1070, 538, 19220, 540, 519, 1249, 602, 789, 798, 2408, 547, 723, 811, 29810, 1344, 982, 1004, 269, 901, 666, 581, 1317, 540, 1614, 3123, 269, 634, 31676, 7390, 1218, 941, 1500, 607, 513, 2362, 7662, 540, 2831, 538, 519, 7122, 267, 547, 1018, 538, 1880, 616, 1004, 269, 22353, 267, 621, 568, 17271, 538, 873, 547, 723, 513, 811, 7986, 1344, 269, 24656, 569, 7390, 1218, 1353, 519, 6426, 543, 519, 1158, 811, 4625, 982, 1004, 543, 2744, 1344, 593, 621, 269, 630, 22832, 476, 273, 281, 866, 267, 31694, 476, 1321, 281, 1321, 1040, 24656, 569, 7390, 1218, 1205, 1344, 998, 513, 1279, 8226, 540, 1480, 5751, 269, 769, 4334, 547, 1004, 267, 31676, 7390, 1218, 1810, 1405, 991, 547, 14719, 622, 519, 2250, 282, 789, 723, 1175, 4810, 621, 269, 2334, 568, 519, 2601, 789, 917, 875, 1866, 723, 19500, 543, 15527, 538, 6381, 267, 543, 666, 2062, 5408, 609, 513, 3978, 1377, 540, 900, 874, 1738, 1145, 875, 649, 666, 957, 538, 13380, 2175, 269, 6736, 519, 1249, 602, 789, 723, 513, 786, 267, 519, 13411, 3190, 12310, 616, 267, 2147, 547, 782, 2831, 267, 1641, 547, 519, 7287, 540, 2696, 269, 4279, 13411, 3190, 12310, 616, 2366, 676, 2696, 547, 948, 25058, 525, 630, 3891, 3691, 9749, 476, 272, 281, 1691, 1040, 10513, 3190, 12310, 616, 9763, 607, 2386, 7060, 540, 2470, 267, 14839, 5961, 610, 4453, 906, 269, 769, 3875, 7262, 5380, 25552, 3190, 12310, 2097, 538, 607, 3170, 23109, 267, 12256, 267, 10694, 19920, 610, 21031, 609, 513, 2234, 4800, 21214, 741, 9843, 269, 769, 9099, 7939, 267, 789, 616, 9758, 1500, 7068, 945, 786, 538, 519, 1279, 2196, 22036, 8429, 267, 2943, 945, 616, 676, 543, 1804, 588, 15735, 2476, 689, 938, 31399, 625, 269, 1358, 616, 9444, 31676, 6862, 10859, 1673, 643, 710, 267, 6862, 616, 789, 4448, 609, 2696, 18177, 585, 5883, 1585, 4773, 540, 519, 7122, 269, 3958, 267, 789, 11129, 711, 581, 740, 1819, 610, 4280, 267, 538, 1769, 540, 519, 1249, 602, 789, 1810, 1405, 2285, 938, 4620, 1431, 547, 2696, 269, 1358, 10505, 547, 2696, 543, 14183, 3571, 3652, 269, 769, 519, 9099, 5133, 593, 1919, 267, 972, 616, 1100, 15468, 31676, 7390, 1218, 281, 789, 616, 711, 9678, 883, 834, 24030, 257, 543, 834, 614, 12288, 257, 13411, 3190, 12310, 269, 4658, 1810, 1405, 1831 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2661, 538, 513, 1507, 19887, 267, 789, 1522, 991, 948, 13936, 1346, 3688, 269, 1635, 11488, 4130, 10833, 936, 942, 3079, 267, 596, 1450, 873, 547, 10891, 1142, 6765, 1732, 269, 2334, 781, 9247, 1018, 2095, 1852, 1281, 538, 13033, 2474, 2439, 2162, 5556, 3878, 3680, 766, 692, 17812, 3878, 21084, 9388, 609, 7303, 3871, 1141, 865, 1454, 1239, 13788, 513, 3060, 602, 621, 3587, 16397, 269, 22748, 1562, 3743, 585, 4464, 532, 1239, 21168, 2429, 519, 3060, 6895, 741, 6446, 1132, 1107, 10889, 619, 8066, 5196, 21168, 7996, 547, 581, 2366, 1107, 5702, 269, 1879, 20313, 13080, 3914, 2565, 2157, 267, 31425, 6749, 4430, 21168, 547, 8190, 2949, 1062, 2773, 269, 667, 549, 6137, 21168, 949, 3100, 4831, 842, 30698, 267, 855, 3257, 865, 2337, 2226, 10257, 11250, 585, 824, 3755, 1247, 10332, 532, 6494, 619, 547, 3500, 1524, 269, 16828, 267, 519, 30699, 6971, 922, 10605, 267, 3976, 4227, 2604, 593, 519, 18760, 543, 9319, 2104, 17142, 12772, 780, 14300, 2986, 5556, 3878, 6513, 27122, 454, 14343, 7042, 26452, 6620, 723, 1044, 2919, 547, 10994, 3060, 20316, 3927, 269, 2368, 2442, 3283, 1331, 27427, 570, 1695, 4141, 267, 11412, 334, 267, 1715, 30262, 334, 267, 595, 18510, 2975, 267, 645, 16576, 267, 543, 30988, 269, 3962, 5690, 3096, 1114, 2994, 585, 9013, 20316, 1759, 593, 2188, 971, 607, 11760, 618, 3270, 267, 5180, 7552, 2053, 267, 543, 2139, 17280, 5624, 269, 1717, 267, 7713, 1169, 2582, 835, 4422, 3564, 938, 9165, 1934, 269, 5502, 267, 1577, 721, 1491, 513, 6251, 1413, 693, 28298, 6513, 16257, 630, 307, 9573, 1070, 24903, 519, 1034, 4922, 1031, 3560, 7014, 2221, 780, 9558, 3939, 6513, 16257, 630, 307, 9573, 2567, 589, 6206, 26761, 454, 14343, 15365, 307, 9573, 4249, 513, 1713, 1909, 538, 5883, 3060, 20316, 1317, 621, 24598, 1231, 1898, 3156, 899, 4757, 7218, 267, 3758, 4483, 2645, 267, 543, 1357, 26292, 269, 4706, 3119, 3804, 568, 4180, 6325, 1439, 3562, 15134, 5048, 6765, 269, 2060, 27427, 267, 1239, 568, 8237, 883, 12415, 5627, 5311, 2338, 7114, 1367, 25466, 3330, 513, 10126, 269, 25547, 1392, 11760, 4607, 12415, 267, 7175, 6494, 619, 547, 3713, 7508, 4773, 3533, 269, 3414, 1896, 13217, 906, 2094, 922, 8798, 538, 519, 3735, 1412, 3583, 338, 267, 2413, 30582, 899, 27427, 570, 1695, 4141, 267, 11412, 334, 267, 543, 1715, 30262, 334, 1631, 6451, 4359, 20316, 2359, 2934, 780, 23087, 454, 15365, 15187, 1740, 20316, 1852, 5849, 5347, 22892, 593, 519, 2706, 14683, 3118, 540, 3059, 2792, 269, 1635, 15725, 519, 2095, 540, 1239, 1063, 3457, 4448, 1369, 5121, 267, 621, 11151, 4420, 6352, 1815, 802, 543, 8952, 3025, 6126, 269, 4635, 1585, 6620, 267, 1519, 27427, 267, 31425, 543, 14747, 11282, 3646, 547, 3666, 3747, 1996, 4199, 8244, 4111, 1836, 269, 1924, 1985, 942, 596, 1995, 554, 27364, 5725, 1247, 11981, 707, 5172, 2228, 2238, 267, 3314, 602, 3297, 519, 10207, 267, 1950, 1949, 960, 24091, 547, 1832, 3388, 4881, 12347, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 27324, 15379, 543, 8950, 7177, 454, 314, 6588, 706, 566, 1576, 347, 12392, 1982, 26180, 659, 8372, 2639, 5472, 6030, 267, 12200, 1592, 902, 267, 543, 6437, 543, 22692, 4170, 4330, 538, 713, 3561, 616, 1641, 547, 1689, 610, 15639, 1510, 5469, 563, 2690, 1576, 11673, 711, 1336, 538, 10813, 5842, 17630, 4937, 18280, 690, 476, 1708, 273, 1700, 2537, 267, 3346, 519, 8257, 585, 811, 1344, 563, 763, 8257, 786, 20089, 547, 2709, 519, 6030, 4330, 2630, 282, 2705, 267, 27644, 6381, 3006, 2154, 513, 1689, 538, 16516, 3091, 269, 4841, 616, 9244, 9415, 547, 5077, 519, 1362, 610, 8257, 8430, 1354, 13461, 593, 519, 8430, 2630, 269, 1280, 519, 4408, 540, 519, 16929, 945, 786, 4001, 519, 1576, 267, 1294, 519, 22588, 569, 4147, 21480, 269, 519, 8257, 781, 3896, 10674, 2517, 324, 576, 269, 1075, 338, 323, 12975, 514, 11079, 519, 1699, 1655, 7447, 540, 1153, 3108, 585, 519, 3003, 1153, 1032, 563, 4488, 292, 476, 276, 269, 4985, 547, 15379, 543, 8950, 7177, 630, 275, 994, 7072, 547, 15379, 543, 8950, 7177, 269, 11762, 1331, 5547, 3069, 267, 10198, 543, 1449, 328, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 15187, 1740, 5556, 3878, 6513, 257, 607, 851, 540, 834, 28035, 1315, 32730, 1315, 4937, 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, 681, 3770, 543, 6657, 281, 634, 9839, 18566, 540, 16241, 5020, 692, 296, 269, 4985, 692, 2414, 4497, 25006, 609, 519, 1353, 540, 4984, 267, 835, 1590, 20920, 609, 519, 10848, 7915, 538, 10747, 922, 1360, 2470, 269, 1306, 938, 1257, 6920, 267, 6998, 834, 1432, 568, 4984, 8119, 568, 1454, 899, 1064, 1746, 834, 1432, 568, 1434, 8119, 5637, 2055, 5905, 2390, 7184, 4371, 2418, 543, 4978, 267, 1419, 12082, 538, 1367, 2833, 543, 2686, 8658, 269, 2755, 891, 1871, 2000, 23565, 7516, 949, 5706, 17046, 3621, 8760, 267, 789, 20866, 1683, 15417, 2666, 585, 13354, 3909, 7634, 269, 13018, 267, 6313, 3838, 9161, 2853, 3091, 2189, 4030, 883, 519, 5203, 1275, 540, 3909, 1995, 1247, 27283, 519, 10058, 4162, 540, 3309, 5289, 5389, 269, 769, 713, 1770, 267, 649, 5490, 883, 519, 15491, 1158, 540, 12738, 543, 2853, 607, 3844, 3344, 540, 3909, 4082, 543, 3961, 780, 2862, 269, 20223, 681, 3770, 543, 6657, 692, 4263, 1101, 16145, 267, 23243, 1063, 9161, 543, 2259, 1522, 3100, 3551, 282, 2705, 267, 6297, 7156, 8761, 1713, 16937, 543, 22524, 11163, 1063, 891, 1079, 6688, 269, 1280, 938, 5301, 267, 1577, 721, 5581, 9161, 607, 513, 12572, 267, 4806, 539, 5311, 540, 3527, 5340, 1369, 513, 1808, 3909, 2796, 267, 1419, 1439, 15735, 609, 10723, 4644, 269, 13756, 267, 593, 519, 824, 1688, 267, 13822, 519, 6626, 8552, 540, 3909, 2238, 602, 2043, 543, 2950, 22738, 547, 11349, 14039, 1214, 267, 6536, 10362, 267, 543, 4890, 1125, 5132, 3741, 538, 3232, 1272, 269, 4935, 267, 6466, 12738, 4043, 547, 581, 6101, 1242, 267, 16625, 2621, 6825, 676, 32444, 640, 543, 16008, 267, 2853, 7854, 811, 27217, 2943, 8449, 4105, 3334, 540, 3909, 6228, 267, 971, 607, 11755, 267, 9066, 267, 26988, 6411, 267, 543, 5683, 2713, 780, 7656, 269, 681, 3770, 338, 607, 21940, 776, 5336, 1046, 619, 543, 7991, 5174, 4265, 619, 692, 305, 3770, 338, 4196, 2789, 3252, 1369, 3909, 1949, 267, 8783, 1851, 873, 1629, 2117, 908, 6302, 1063, 1202, 11107, 543, 16080, 11107, 543, 5807, 1514, 22122, 1851, 21071, 269, 1635, 10283, 538, 7104, 32537, 267, 740, 6254, 338, 556, 3530, 3305, 741, 7029, 547, 519, 2146, 543, 922, 3838, 2418, 267, 17923, 1895, 3961, 998, 7368, 15357, 906, 540, 18497, 3965, 543, 2245, 269, 5047, 267, 12738, 1419, 4125, 12939, 8090, 1765, 10520, 1431, 1063, 1114, 5933, 540, 1272, 267, 10593, 538, 6848, 5107, 267, 610, 15102, 689, 1527, 2033, 547, 10723, 5624, 20196, 28173, 18497, 6284, 543, 1489, 269, 9024, 2747, 18428, 267, 1187, 5644, 267, 12311, 26204, 267, 543, 12119, 15976, 12013, 1518, 971, 1929, 1400, 2833, 267, 13296, 5171, 15217, 6330, 13710, 795, 9417, 999, 896, 326, 2273, 539, 676, 3909, 7254, 794, 543, 11461, 676, 942, 3620, 517, 1819, 9821, 780, 288, 8037, 1383, 540, 9161, 781, 10465, 27360, 532, 1599, 666, 581, 4767, 538, 519, 6014, 2259, 540, 737, 1662, 337, 583, 267, 610, 8192, 4031, 269, 1520, 17518, 547, 7453, 4808, 3823, 7989, 24777, 3536, 543, 741, 7041, 2409, 5036, 7642, 6306, 689, 1312, 8284, 1395, 6139, 2065, 5389, 630, 22146, 640, 543, 5771, 264, 543, 16712, 2486, 693, 1804, 267, 1266, 754, 1359, 513, 2631, 540, 3982, 4369, 602, 10240, 9094, 18497, 7554, 543, 19156, 519, 2956, 540, 30176, 10143, 4971, 906, 269, 5015, 267, 7589, 538, 18497, 6980, 27137, 607, 519, 30687, 6822, 518, 610, 590, 30117, 12129, 1765, 516, 514, 1721, 806, 17604, 1851, 4295, 5554, 542, 1235, 1247, 8195, 27195, 1875, 268, 10849, 969, 656, 1866, 780, 4353, 269, 21150, 617, 1221, 20154, 640, 281, 634, 10020, 540, 519, 10610, 538, 681, 3770, 13437, 692, 23338, 547, 1022, 4901, 540, 3909, 9161, 568, 606, 6514, 540, 519, 1909, 5129, 676, 519, 1480, 1560, 538, 1199, 11868, 13341, 1063, 519, 16637, 550, 7706, 543, 3618, 569, 6228, 269, 11569, 267, 10236, 6048, 21965, 13852, 733, 1742, 602, 834, 761, 783, 1436, 257, 3322, 519, 12879, 540, 15629, 14302, 267, 3350, 267, 543, 10444, 6278, 547, 1711, 15398, 4656, 540, 519, 10723, 269, 3414, 5402, 25287, 8319, 1117, 17267, 267, 13047, 3074, 267, 543, 2168, 5447, 906, 267, 9439, 3343, 547, 3715, 4296, 609, 10143, 9988, 267, 18577, 14326, 267, 610, 16750, 4229, 602, 20546, 6071, 11913, 13994, 2827, 540, 5132, 780, 2690, 3236, 267, 2015, 519, 9099, 2259, 540, 2892, 520, 267, 610, 9161, 11755, 269, 12866, 2053, 3232, 267, 2616, 656, 12356, 8263, 11311, 15629, 7158, 1765, 9227, 267, 6367, 532, 267, 605, 1598, 908, 267, 9361, 1765, 6112, 973, 1746, 1808, 12428, 1045, 23148, 5497, 547, 1045, 5803, 27527, 585, 2696, 543, 19169, 547, 3571, 786, 269, 1635, 2502, 1312, 2247, 543, 1560, 538, 20291, 9696, 540, 1821, 10899, 2534, 267, 26902, 26802, 11441, 4724, 2829, 540, 7096, 5834, 543, 5289, 1140, 2317, 618, 267, 7551, 28043, 519, 7941, 1063, 1570, 4641, 543, 1799, 1468, 2820, 6541, 780, 309, 269, 3690, 326, 4809, 13756, 281, 27915, 16390, 547, 1234, 16386, 645, 4637, 692, 13640, 611, 2135, 1227, 267, 930, 3909, 2853, 27167, 20982, 1098, 326, 11306, 540, 29708, 2623, 267, 1016, 31844, 3964, 6788, 547, 14751, 18497, 13218, 543, 12927, 5837, 9479, 269, 6270, 1929, 1400, 6411, 4749, 2049, 1282, 23097, 2297, 4302, 16873, 1765, 300, 31651, 6182, 553, 267, 4144, 28549, 267, 8830, 574, 267, 543, 4591, 328, 267, 547, 2012, 513, 1906, 1765, 3602, 11240, 787, 267, 11792, 20960, 1228, 267, 543, 12689, 17303, 771, 2897, 9889, 22941, 10148, 267, 3850, 5171, 547, 4090, 3320, 9101, 6848, 25327, 543, 32696, 538, 6382, 19275, 5418, 9778, 269, 1452, 1098, 326, 4809, 14501, 6038, 7794, 17888, 1379, 3889, 676, 3246, 13350, 19093, 585, 29926, 543, 4430, 267, 3976, 8497, 1514, 1931, 543, 4180, 4797, 15984, 547, 2757, 2418, 780, 9654, 269, 12634, 12694, 543, 11627, 725, 538, 681, 3770, 6657, 692, 1103, 2221, 781, 2518, 1944, 1158, 267, 1141, 6639, 7760, 7520, 4028, 2792, 543, 3444, 14426, 5385, 267, 3909, 5389, 5051, 7237, 3209, 6381, 602, 3747, 3860, 14624, 540, 2085, 6040, 12738, 543, 2853, 269, 14044, 5867, 1631, 5512, 6552, 7589, 538, 1396, 17790, 2533, 267, 2228, 19623, 1137, 267, 543, 7857, 1242, 21334, 1308, 4205, 267, 9870, 2055, 827, 519, 13597, 543, 12117, 540, 971, 25358, 3909, 2833, 3379, 547, 741, 3068, 3562, 19904, 13413, 269, 3958, 267, 1019, 19166, 545, 5095, 13720, 2152, 4478, 5348, 4038, 1143, 267, 934, 738, 4851, 267, 543, 10316, 9163, 602, 4161, 6671, 24300, 540, 3909, 31249, 344, 543, 735, 601, 5499, 6114, 3358, 547, 2743, 519, 2115, 540, 4207, 9439, 780, 3080, 11495, 1383, 2501, 689, 5545, 1744, 20041, 1143, 267, 799, 814, 14754, 513, 10006, 538, 6880, 268, 1679, 13668, 5275, 25736, 585, 5907, 3457, 267, 5691, 10130, 267, 543, 1256, 3059, 1268, 553, 269, 1635, 9750, 519, 9165, 540, 10723, 6304, 3564, 15889, 3615, 543, 22993, 5396, 267, 891, 23349, 4620, 1431, 2992, 9687, 1523, 687, 540, 1582, 3125, 267, 17035, 267, 543, 2029, 602, 20519, 2417, 14046, 3007, 1369, 519, 2361, 540, 13354, 4984, 780, 23997, 269, 10390, 692, 1607, 1770, 814, 8268, 519, 16221, 2081, 538, 799, 12738, 543, 2853, 13822, 1898, 2609, 540, 3909, 1272, 267, 7674, 1585, 3252, 602, 2039, 689, 1629, 2117, 908, 6302, 543, 2679, 2146, 547, 18220, 532, 17035, 543, 3048, 908, 6114, 547, 4657, 8739, 14426, 8916, 269, 10801, 938, 7634, 267, 649, 723, 8179, 547, 30881, 1312, 519, 8471, 3344, 540, 3909, 4082, 543, 519, 2189, 2934, 602, 10646, 19635, 5389, 689, 835, 1776, 269, 11086, 267, 9301, 519, 6988, 543, 4763, 7915, 538, 9161, 2773, 2620, 839, 938, 7071 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 291, 17920, 3008, 4924, 269, 476, 866, 267, 476, 1220, 278, 595, 268, 3725, 5562, 19871, 267, 4922, 9833, 607, 513, 1981, 3815, 585, 13119, 543, 824, 3029, 540, 9025, 2068, 267, 4249, 513, 1463, 1909, 538, 519, 12614, 540, 13119, 267, 3173, 693, 29031, 3162, 13523, 6481, 4741, 723, 1336, 563, 20442, 723, 4362, 602, 595, 268, 3725, 5562, 19871, 630, 10135, 303, 264, 568, 711, 8806, 513, 15262, 540, 519, 1981, 540, 13119, 267, 621, 2965, 28901, 13119, 2437, 1767, 3220, 269, 654, 534, 5155, 966, 784, 6312, 11446, 514, 267, 12314, 7548, 540, 4835, 4915, 543, 1291, 2278, 540, 519, 1353, 17729, 538, 519, 5988, 3390, 540, 19449, 27218, 563, 7473, 3162, 13523, 3173, 6594, 8983, 609, 606, 22041, 5444, 585, 10911, 303, 602, 729, 896, 519, 7939, 540, 513, 2034, 5444, 17841, 547, 2242, 538, 8192, 19346, 6981, 269, 634, 2157, 540, 21883, 10911, 303, 267, 799, 568, 3812, 676, 519, 6797, 267, 941, 2047, 26203, 676, 19249, 519, 8983, 781, 11326, 267, 543, 519, 1198, 593, 1973, 2604, 729, 5462, 269, 769, 713, 6073, 519, 3527, 540, 10911, 303, 941, 5302, 27935, 689, 519, 3527, 540, 824, 18657, 2209, 540, 6553, 563, 20442, 1336, 602, 950, 649, 23564, 593, 519, 5444, 602, 3123, 4679, 538, 10911, 303, 267, 519, 1973, 2604, 4682, 909, 267, 543, 950, 649, 5828, 1055, 519, 5444, 543, 10911, 303, 2157, 4682, 1524, 267, 519, 1973, 2604, 8593, 269, 10791, 2242, 538, 519, 1852, 8983, 1185, 1100, 1198, 267, 10834, 602, 519, 1973, 2604, 6114, 941, 1813, 547, 10911, 303, 2437, 1767, 3220, 269, 966, 784, 6312, 11446, 514, 269, 834, 763, 2014, 540, 11506, 1973, 2604, 13251, 676, 10911, 303, 729, 849, 5462, 4799, 32747, 2090, 936, 519, 2250, 8717, 723, 6700, 602, 12225, 1227, 11506, 2157, 540, 10911, 303, 5815, 6553, 602, 12662, 606, 1367, 693, 1981, 585, 13119, 543, 824, 9025, 22074, 971, 607, 2182, 2287, 540, 519, 16209, 563, 763, 8983, 538, 519, 5767, 1353, 941, 25436, 17567, 547, 2587, 3999, 839, 514, 4083, 267, 799, 568, 513, 2101, 21883, 3815, 15725, 1973, 2604, 3842, 27555, 1526, 9689, 269, 901, 729, 1813, 547, 19260, 538, 1883, 5946, 538, 519, 15466, 3774, 602, 616, 3238, 609, 2587, 3999, 839, 514, 4083, 269, 0, 17220, 23654, 26930, 10022, 476, 275, 281, 4489, 268, 21172, 630, 1220, 280, 994, 347, 20082, 1475, 1607, 1957, 9607, 519, 3390, 540, 1426, 3354, 538, 3384, 2477, 543, 875, 6683, 4249, 606, 1271, 1909, 538, 8236, 711, 1152, 1426, 3354, 267, 855, 849, 538, 4227, 6710, 543, 5009, 4264, 1646, 269, 634, 13319, 540, 4123, 12666, 1436, 676, 519, 2622, 11780, 9257, 630, 310, 15674, 264, 998, 519, 15716, 593, 11982, 630, 288, 334, 288, 264, 814, 14944, 1441, 519, 11327, 4390, 540, 3384, 2477, 543, 741, 13354, 5413, 538, 519, 6694, 5823, 267, 8589, 1944, 1507, 8397, 6705, 543, 4324, 1154, 519, 2462, 14078, 269, 634, 1957, 5654, 693, 519, 3390, 540, 7214, 3959, 2924, 602, 2462, 14078, 723, 585, 5452, 543, 741, 2360, 593, 1507, 8397, 6705, 267, 543, 875, 9746, 1514, 5539, 630, 5425, 305, 264, 568, 13385, 547, 10038, 519, 17282, 540, 2462, 14078, 538, 519, 1426, 543, 6694, 2344, 269, 634, 1957, 568, 5258, 883, 5722, 6810, 281, 4123, 12666, 1436, 543, 1426, 3354, 267, 519, 654, 15674, 543, 519, 589, 334, 288, 267, 519, 2360, 540, 519, 589, 334, 288, 593, 3384, 2477, 267, 519, 1909, 540, 30427, 14078, 630, 307, 10998, 338, 264, 593, 1426, 3354, 267, 11483, 305, 543, 570, 10998, 338, 267, 3609, 7840, 267, 543, 8753, 2008, 347, 21292, 1475, 5591, 17161, 9138, 630, 25785, 621, 10245, 18871, 20975, 1475, 322, 1538, 528, 1125, 713, 1957, 10245, 347, 7437, 707, 5399, 1475, 18183, 2682, 2008, 13436, 2835, 543, 4930, 454, 25402, 5839, 27908, 534, 1299, 10906, 22337, 2401, 630, 1001, 273, 1040, 3807, 543, 12655, 286, 24167, 519, 31898, 7595, 543, 15783, 7464, 885, 540, 5177, 5253, 8232, 269, 4750, 540, 16581, 543, 7025, 15979, 476, 1839, 630, 273, 2567, 8687, 268, 14225, 563, 27746, 918, 269, 26673, 9581, 517, 267, 29542, 590, 269, 6276, 1299, 5261, 667, 269, 1261, 742, 1716, 534, 630, 1220, 279, 1040, 6496, 519, 2622, 10261, 772, 2529, 269, 26478, 4634, 1403, 4892, 5213, 1405, 286, 4750, 540, 16581, 543, 7025, 15979, 476, 2641, 630, 275, 2567, 25313, 268, 29044, 563, 298, 269, 26673, 9581, 517, 6307, 267, 590, 269, 6276, 29542, 1299, 667, 269, 1261, 742, 1716, 534, 5261, 630, 1220, 279, 1040, 6496, 519, 2622, 10261, 772, 2529, 269, 26478, 4634, 1403, 4892, 5213, 1405, 286, 4750, 540, 16581, 543, 7025, 15979, 476, 2641, 630, 275, 1916, 293, 4920, 654, 269, 589, 269, 645, 668, 630, 1220, 275, 1040, 654, 15674, 267, 5398, 17217, 543, 5253, 5398, 25705, 538, 519, 1412, 307, 8565, 18366, 262, 593, 10648, 6363, 797, 269, 19078, 7869, 543, 26874, 6657, 476, 278, 630, 275, 2567, 275, 1704, 910, 476, 32542, 563, 305, 2788, 22642, 1299, 6424, 11709, 345, 31899, 267, 1744, 14823, 590, 1343, 281, 9612, 532, 585, 513, 3281, 668, 1047, 538, 519, 654, 15674, 32468, 9911, 593, 11982, 563, 11321, 15925, 700, 269, 595, 709, 577, 630, 1960, 276, 1040, 30911, 568, 3502, 3281, 26702, 609, 12655, 11982, 269, 4750, 540, 16581, 543, 7025, 15979, 476, 279, 630, 273, 2567, 7176, 268, 9340, 563, 300, 21840, 717, 269, 5211, 320, 6363, 518, 516, 630, 1220, 280, 1040, 2052, 1401, 1636, 14114, 686, 5034, 13985, 20628, 538, 15043, 18831, 2142, 12655, 543, 32754, 12655, 4886, 286, 634, 1744, 18276, 8865, 269, 4750, 540, 16581, 543, 7025, 15979, 476, 2420, 630, 275, 1916, 289, 1716, 731, 594, 269, 8298, 534, 630, 2735, 280, 1040, 6554, 5890, 754, 23321, 593, 7383, 539, 18452, 338, 543, 519, 17644, 540, 5253, 8682, 4149, 340, 11797, 543, 5253, 8232, 538, 519, 8828, 3979, 4886, 3213, 14114, 6113, 1588, 10985, 269, 4750, 540, 16581, 543, 7025, 15979, 476, 273, 630, 274, 2567, 4489, 268, 21709, 563, 21837, 595, 269, 8065, 267, 590, 830, 517, 661, 327, 14241, 1299, 18332, 5548, 326, 5964, 630, 1220, 275, 1040, 634, 700, 12083, 7169, 267, 5253, 8881, 267, 543, 9540, 4149, 7051, 26478, 281, 4208, 1358, 17460, 547, 2974, 2353, 269, 1496, 3918, 26177, 316, 4750, 540, 16581, 543, 7025, 15979, 476, 1704, 630, 275, 268, 276, 2567, 28883, 268, 29900, 563, 307, 714, 10730, 717, 558, 1512, 334, 267, 24381, 714, 1470, 717, 269, 14529, 1961, 26152, 1299, 6424, 623, 2939, 601, 630, 1001, 271, 1040, 12713, 30669, 281, 21252, 267, 15979, 267, 543, 7799, 1080, 547, 5274, 2561, 10187, 566, 540, 23270, 7896, 269, 1496, 3918, 26177, 316, 4750, 540, 16581, 543, 7025, 15979, 476, 2537, 630, 276, 2567, 29889, 268, 275, 4097, 563, 28989, 267, 972, 616, 711, 2614, 1239, 2798, 547, 4729, 713, 5750, 563, 3849, 4765, 547, 4994, 1001, 272, 268, 1321, 268, 6349, 454, 13146, 28085, 630, 277, 3275, 264, 271, 454, 1692, 666, 594, 2333, 1250, 28085, 286, 0, 1103, 2053, 540, 2706, 21466, 27865, 3415, 910, 950, 519, 21684, 616, 30528, 609, 519, 1482, 1426, 2429, 519, 1032, 910, 649, 666, 3362, 1831, 1033, 3737, 689, 519, 1909, 540, 519, 12405, 593, 938, 1426, 269, 1656, 676, 10137, 267, 2390, 519, 11396, 543, 6705, 602, 3132, 621, 269, 769, 3384, 2477, 267, 519, 1198, 540, 519, 12405, 568, 3226, 8650, 910, 607, 621, 568, 30898, 4428, 1229, 676, 3039, 17346, 543, 824, 6694, 530, 19123, 787, 269, 1306, 971, 267, 1646, 3609, 15670, 991, 547, 581, 811, 13533, 540, 4005, 1275, 3248, 2507, 337, 1116, 24454, 538, 3384, 2477, 10929, 2834, 267, 22150, 267, 543, 1419, 7372, 267, 2242, 2687, 547, 519, 4806, 540, 519, 12405, 269, 769, 1880, 267, 519, 5993, 22856, 3142, 827, 1107, 610, 3142, 547, 513, 8445, 1107, 782, 12204, 540, 2360, 1107, 1034, 540, 873, 8801, 952, 596, 616, 4057, 269, 1452, 1331, 27781, 267, 1648, 22930, 267, 4679, 538, 19210, 267, 9194, 267, 17732, 540, 2724, 543, 2469, 883, 7963, 563, 2005, 729, 513, 2834, 6249, 538, 1646, 2090, 689, 519, 3735, 476, 3192, 271, 338, 269, 3973, 621, 2864, 8593, 689, 12797, 563, 8139, 543, 2679, 4005, 1275, 883, 4507, 568, 1869, 4143, 1107, 538, 1249, 6148, 811, 4143, 982, 2479, 607, 2916, 1689, 17486, 269, 1656, 602, 1869, 3884, 1406, 8345, 282, 9969, 326, 27935, 1239, 593, 12119, 6710, 568, 1869, 2182, 547, 1265, 267, 543, 835, 540, 741, 7840, 568, 602, 6710, 7194, 1058, 2992, 12119, 8390, 267, 3079, 540, 8989, 513, 2582, 6710, 2212, 12248, 585, 513, 2016, 1032, 563, 9638, 4732, 269, 4005, 1275, 5750, 689, 15182, 281, 23123, 543, 31204, 269, 9509, 540, 8748, 1426, 1374, 543, 2093, 264, 0, 273, 269, 595, 2130, 10341, 454, 274, 269, 29960, 10341, 454, 275, 269, 1290, 3228, 532, 10341, 454, 704, 576, 633, 7218, 3929, 1533, 543, 1489, 543, 1590, 581, 1033, 3737, 563, 30342, 14156, 1253, 571, 9853, 607, 519, 7817, 454, 534, 6896, 5311, 540, 1966, 6061, 3268, 1031, 547, 2697, 543, 4383, 1072, 2042, 563, 300, 755, 581, 538, 519, 3656, 9165, 540, 8808, 454, 17780, 593, 11310, 910, 10671, 2231, 11879, 15154, 454, 5522, 10165, 281, 5029, 1242, 543, 9836, 454, 5141, 1304, 2578, 1229, 910, 5917, 11229, 910, 21111, 814, 547, 581, 851, 540, 621, 563, 7883, 531, 6034, 539, 910, 13201, 547, 581, 10257, 454, 26212, 527, 1242, 910, 16549, 869, 910, 1018, 781, 1034, 1271, 454, 291, 29174, 910, 4790, 14688, 21744, 454, 10861, 301, 781, 543, 681, 301, 781, 723, 1114, 9021, 1644, 547, 519, 8808, 1184, 855, 519, 681, 301, 1869, 3743, 585, 1239, 4015, 563, 18744, 1344, 7218, 7959, 543, 6257, 608, 281, 1928, 267, 15353, 267, 546, 714, 5414, 267, 19228, 454, 25332, 969, 762, 543, 22905, 1249, 608, 281, 13379, 267, 22680, 267, 13942, 267, 6711, 725, 454, 27650, 11905, 281, 21111, 454, 13553, 776, 11905, 281, 7731, 267, 5359, 267, 1449, 2164, 454, 10574, 12476, 10495, 454, 4467, 11772, 633, 269, 5136, 22633, 693, 16075, 543, 2168, 981, 563, 11854, 6900, 267, 9450, 1344, 269, 10312, 593, 835, 1808, 1858, 540, 2027, 640, 454, 288, 1072, 3390, 602, 666, 581, 15286, 267, 4389, 267, 17251, 610, 8476, 998, 4830, 8808, 3800, 563, 22139, 1977, 16711, 23369, 5948, 454, 11243, 540, 1072, 1644, 2152, 610, 2042, 607, 4857, 538, 519, 715, 3198, 6395, 1592, 563, 26212, 527, 1944, 8808, 5868, 563, 30655, 894, 2042, 609, 1866, 454, 9288, 553, 9092, 3853, 609, 519, 3461, 454, 14112, 12910, 25779, 454, 288, 1906, 2395, 547, 513, 3018, 543, 1590, 723, 513, 3077, 4266, 454, 16524, 12910, 25779, 454, 2171, 4060, 610, 3275, 454, 17445, 687, 585, 513, 7218, 1416, 454, 18184, 1841, 540, 5516, 454, 303, 4301, 625, 602, 5815, 799, 2238, 786, 581, 3177, 547, 2327, 2298, 7817, 1416, 454, 10111, 11538, 856, 519, 1544, 540, 1416, 454, 763, 1259, 538, 799, 11923, 3313, 2436, 513, 7817, 814, 6603, 513, 3804, 563, 288, 1505, 540, 12180, 1344, 883, 12449, 610, 3182, 3645, 1106, 269, 0, 1103, 519, 2362, 7103, 267, 519, 6981, 540, 10250, 2609, 4386, 5631, 998, 519, 7929, 1062, 610, 998, 519, 1426, 5832, 269, 3487, 21871, 267, 1082, 5906, 2609, 610, 7135, 267, 971, 607, 8407, 18645, 2059, 519, 1426, 5832, 269, 769, 713, 1259, 267, 519, 1426, 5832, 3587, 519, 1292, 24891, 585, 10770, 6757, 1218, 547, 4283, 2362, 7103, 269, 5015, 267, 891, 6757, 2609, 3622, 723, 606, 27643, 5169, 543, 3976, 741, 9830, 538, 519, 1604, 1332, 609, 519, 2333, 540, 4683, 267, 6694, 543, 4853, 5434, 269, 2060, 2810, 2825, 5533, 267, 513, 6757, 4496, 4598, 4879, 1353, 568, 2556, 269, 24768, 2609, 616, 711, 8311, 1242, 693, 782, 269, 2368, 8407, 9048, 951, 4601, 616, 3808, 547, 1560, 8031, 267, 552, 3052, 1421, 1291, 547, 5642, 610, 20017, 26606, 547, 14401, 269, 901, 2689, 10311, 519, 1344, 593, 4163, 27492, 540, 6757, 6878, 689, 3049, 547, 1426, 540, 3662, 5169, 630, 1889, 520, 267, 8219, 267, 5144, 543, 5798, 1040, 634, 1852, 540, 2825, 17694, 602, 949, 2014, 22016, 538, 1426, 540, 3662, 5169, 568, 3006, 3833, 2352, 543, 7199, 543, 568, 9619, 609, 2027, 3007, 538, 713, 2689, 269, 0, 11947, 3427, 630, 280, 268, 1321, 264, 11314, 25873, 454, 24342, 476, 8618, 910, 476, 3199, 540, 476, 279, 1321, 13292, 454, 22860, 4506, 519, 21303, 23520, 821, 670, 1961 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1044, 5340, 2687, 547, 513, 13006, 4341, 1922, 12089, 5690, 267, 676, 8499, 17265, 543, 18176, 3184, 676, 3184, 519, 2487, 12326, 585, 741, 3621, 14496, 630, 23682, 5112, 1377, 540, 2963, 630, 299, 334, 292, 264, 476, 543, 4791, 10083, 630, 8980, 302, 3446, 540, 16252, 1496, 16165, 22049, 7305, 476, 272, 1040, 1284, 1459, 519, 476, 1001, 280, 9337, 282, 519, 2407, 4528, 540, 519, 8242, 13472, 1305, 568, 2139, 2228, 607, 513, 7300, 3758, 538, 1312, 2296, 543, 4436, 4586, 302, 6877, 585, 12729, 10644, 281, 10988, 760, 958, 3525, 16666, 27999, 11790, 454, 5715, 328, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 306, 550, 514, 601, 19219, 4437, 641, 1910, 257, 607, 851, 540, 834, 25503, 1315, 2201, 19223, 1315, 23213, 9435, 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, 1262, 16215, 476, 277, 281, 10289, 29042, 16387, 543, 519, 5295, 540, 25609, 4373, 5970, 596, 2479, 6743, 693, 513, 6777, 4148, 820, 5702, 543, 14952, 539, 693, 922, 6946, 543, 27101, 4806, 286, 2107, 6148, 596, 4312, 2938, 4190, 19821, 923, 538, 513, 9754, 543, 9289, 875, 1142, 6263, 4062, 13352, 1927, 9985, 547, 1711, 513, 10875, 3239, 269, 1452, 616, 1175, 1079, 1806, 540, 10723, 9511, 910, 519, 1353, 540, 5546, 543, 3270, 1336, 538, 2470, 267, 1148, 267, 543, 5289, 2853, 780, 1262, 1432, 568, 29042, 16387, 15140, 306, 659, 1042, 9511, 568, 782, 1472, 721, 267, 1256, 952, 649, 1810, 1405, 2141, 5469, 621, 269, 898, 781, 519, 2856, 602, 1978, 5546, 543, 3270, 3180, 3532, 10096, 543, 666, 948, 721, 1921, 609, 1945, 4514, 1369, 6000, 543, 519, 1158, 1472, 721, 269, 1280, 1383, 267, 519, 5858, 4564, 9322, 267, 627, 565, 8864, 267, 543, 20581, 1317, 621, 814, 1100, 4098, 610, 1439, 269, 1656, 519, 4009, 23327, 6617, 543, 3666, 2094, 621, 814, 2185, 3160, 5011, 780, 3719, 972, 781, 835, 3337, 538, 1880, 602, 6585, 513, 2027, 1747, 538, 10723, 9511, 281, 519, 6079, 540, 1272, 780, 1262, 8139, 519, 23268, 540, 5020, 4373, 763, 6079, 540, 1272, 568, 1500, 909, 540, 5722, 20718, 10580, 11231, 538, 513, 1808, 1259, 630, 5408, 4137, 2630, 1040, 901, 2241, 2943, 17715, 1374, 3568, 1082, 1271, 12166, 3347, 543, 814, 1044, 1031, 538, 1585, 4529, 2429, 1686, 547, 2099, 5137, 267, 2208, 267, 543, 10103, 780, 314, 11900, 1068, 12005, 281, 23268, 540, 5020, 6516, 6540, 4131, 781, 2736, 1524, 519, 1114, 3334, 540, 519, 6079, 540, 1272, 1384, 272, 269, 4741, 17781, 281, 901, 568, 519, 4358, 1448, 267, 8204, 519, 2707, 610, 5169, 540, 782, 1919, 563, 273, 269, 14520, 19449, 3380, 15907, 519, 4741, 281, 1452, 3670, 10580, 3295, 519, 4099, 5858, 899, 24968, 593, 513, 8768, 267, 29544, 2208, 543, 7269, 563, 274, 269, 28249, 18745, 281, 7316, 519, 10580, 12969, 267, 1007, 5546, 10836, 267, 971, 607, 12730, 543, 15279, 30368, 269, 1452, 2798, 9414, 4296, 1063, 9583, 5094, 9988, 267, 22348, 721, 602, 3388, 568, 10562, 563, 275, 269, 18599, 19449, 3380, 11192, 281, 634, 1297, 5722, 568, 2808, 10723, 538, 1082, 5389, 267, 1129, 4328, 1264, 28467, 610, 19870, 780, 3528, 4974, 519, 6079, 540, 1272, 543, 824, 10723, 22762, 1845, 267, 649, 666, 2744, 4030, 827, 6000, 267, 938, 3347, 267, 543, 519, 7122, 780, 1262, 8002, 8481, 281, 24531, 29042, 16387, 538, 28064, 5020, 4373, 3086, 602, 596, 1174, 519, 9238, 540, 10723, 9511, 267, 1577, 781, 2263, 875, 621, 2982, 909, 538, 4948, 3615, 543, 2833, 1384, 265, 2878, 9209, 5741, 5093, 8571, 707, 1378, 4528, 540, 519, 6079, 540, 1272, 1210, 735, 13293, 543, 513, 14610, 269, 3973, 267, 2681, 621, 538, 609, 6505, 4778, 547, 3142, 856, 922, 5898, 269, 1411, 1223, 849, 2119, 2870, 824, 10723, 22762, 1845, 267, 899, 3303, 1023, 610, 5762, 1023, 563, 265, 2878, 26903, 12532, 5093, 6875, 513, 3802, 3544, 543, 1413, 585, 4191, 540, 10723, 9511, 538, 2470, 269, 2052, 596, 1265, 1022, 10580, 267, 21384, 267, 610, 15279, 21192, 3270, 286, 9320, 596, 3513, 5544, 513, 17178, 19986, 267, 9932, 18474, 267, 610, 546, 24387, 602, 9727, 891, 3741, 563, 265, 2878, 300, 663, 531, 553, 5093, 8073, 707, 1378, 8260, 8403, 676, 5373, 610, 7206, 3492, 878, 10580, 4904, 609, 18110, 3270, 269, 13495, 531, 553, 616, 1419, 1031, 538, 9066, 543, 11755, 267, 4543, 1004, 1445, 741, 4555, 543, 19367, 269, 1306, 596, 960, 593, 707, 8260, 8403, 267, 1589, 827, 1018, 6698, 610, 4778, 13469, 609, 596, 543, 1946, 780, 8855, 267, 10723, 9511, 3884, 1405, 1175, 827, 1620, 1950, 5546, 282, 621, 781, 849, 827, 9301, 519, 7915, 1931, 543, 10103, 538, 938, 1158, 269, 1635, 3695, 891, 2035, 267, 649, 666, 15052, 938, 7071, 585, 519, 5898, 543, 25872, 540, 782, 1919, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 2026, 322, 2105, 23168, 1108, 5983, 4751, 585, 1312, 5437, 1299, 5412, 476, 1708, 274, 454, 10843, 9457, 15248, 918, 4275, 681, 12711, 454, 2026, 322, 2105, 23168, 1108, 267, 998, 519, 29042, 25627, 540, 1651, 28271, 267, 26779, 20231, 540, 519, 2609, 269, 634, 23191, 4999, 540, 29042, 16387, 609, 606, 3504, 1106, 540, 1488, 603, 2006, 1097, 267, 630, 320, 1062, 602, 3651, 338, 10230, 2418, 547, 5022, 1070, 10741, 519, 24891, 540, 519, 1306, 322, 3290, 19089, 998, 3504, 12596, 269, 634, 4090, 1141, 596, 3314, 707, 268, 1345, 607, 513, 21001, 2193, 538, 11059, 269, 634, 6857, 4276, 609, 519, 4521, 540, 2382, 656, 10389, 2494, 28685, 566, 21528, 519, 9997, 883, 2407, 9457, 344, 3465, 775, 538, 713, 1106, 540, 18688, 532, 563, 21776, 476, 1708, 274, 815, 476, 276, 11788, 1341, 5606, 9548, 454, 763, 661, 4156, 5020, 1995, 454, 763, 10046, 532, 15328, 21573, 20217, 6796, 883, 4813, 454, 310, 22736, 938, 1101, 7104, 3268, 607, 513, 9241, 19618, 4090, 1369, 713, 1761, 640, 2676, 1492, 4628, 538, 1532, 617, 1221, 543, 1325, 17057, 1227, 3690, 11526, 631, 3008, 9898, 568, 3117, 19290, 24111, 2336, 1607, 1360, 2027, 5437, 267, 519, 12866, 32514, 919, 20231, 1648, 543, 3871, 602, 723, 1044, 6456, 269, 634, 1121, 27320, 602, 1247, 789, 12103, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 645, 7495, 312, 267, 631, 18853, 1299, 9501, 7644, 3951, 1315, 29042, 16387, 1315, 23268, 540, 5020, 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, 4495, 2390, 513, 942, 267, 972, 941, 1079, 2828, 3957, 5981, 543, 16092, 945, 1185, 1360, 1114, 5784, 827, 1141, 789, 3893, 741, 3377, 689, 269, 5981, 729, 606, 28048, 7082, 540, 2228, 2923, 2959, 1247, 16092, 9053, 2757, 14786, 543, 7641, 3377, 269, 1358, 1131, 2141, 7521, 827, 799, 2707, 3177, 1732, 543, 811, 4977, 1344, 780, 3080, 1554, 267, 1282, 12899, 5503, 693, 960, 267, 513, 2101, 13091, 13351, 513, 2197, 28870, 1472, 519, 1158, 269, 1306, 4166, 607, 519, 3377, 13264, 267, 3025, 15504, 856, 741, 11436, 547, 2638, 952, 741, 6068, 3283, 941, 2922, 269, 5981, 3533, 29429, 5196, 1010, 5172, 3377, 3896, 543, 4718, 10311, 26311, 538, 1169, 1906, 7643, 269, 1261, 7948, 1405, 948, 855, 1745, 1159, 1872, 6616, 646, 4862, 827, 621, 1354, 4896, 3116, 1705, 780, 19602, 267, 16092, 3576, 1200, 942, 547, 1224, 519, 11356, 1352, 4547, 2059, 609, 1200, 269, 2701, 1336, 606, 2376, 2854, 676, 513, 25982, 19784, 945, 26906, 4966, 543, 5795, 513, 3102, 7650, 540, 1018, 3361, 519, 844, 820, 267, 922, 1764, 593, 7404, 2950, 267, 543, 8323, 3646, 25093, 780, 4263, 519, 5604, 5870, 2663, 602, 12784, 267, 5981, 3838, 1018, 646, 4121, 689, 2542, 1585, 4930, 2228, 267, 10223, 875, 3728, 646, 4607, 519, 3377, 269, 1717, 267, 950, 4280, 1246, 5346, 2055, 267, 646, 17388, 547, 1683, 2143, 4267, 3564, 24657, 543, 3280, 321, 2572, 269, 2201, 519, 824, 1688, 267, 16092, 18390, 12943, 782, 14511, 1759, 593, 1200, 9488, 1620, 540, 519, 1888, 6591, 689, 1200, 5402, 26940, 2959, 780, 19808, 5962, 676, 16092, 781, 1702, 267, 930, 9164, 4956, 547, 2285, 2757, 2923, 2959, 513, 2119, 269, 3683, 942, 267, 1082, 7691, 602, 891, 2959, 6035, 4514, 4030, 883, 2518, 2152, 3379, 547, 4945, 321, 7159, 10643, 610, 21603, 8989, 4122, 2938, 2228, 269, 5047, 267, 13461, 9003, 593, 2228, 3377, 1500, 873, 12155, 547, 25749, 3262, 998, 16995, 3377, 4609, 610, 796, 591, 1881, 32422, 593, 1514, 2923, 780, 1607, 1995, 6026, 3025, 513, 3407, 3992, 827, 519, 9342, 543, 12755, 540, 1312, 2010, 540, 2923, 2959, 269, 6732, 2923, 4597, 539, 538, 12419, 2656, 10311, 267, 1818, 621, 4998, 585, 7525, 25887, 610, 2661, 2680, 3795, 269, 11531, 267, 2757, 2923, 695, 1441, 538, 5356, 13857, 5380, 20483, 676, 11826, 4760, 2065, 4441, 267, 3850, 3988, 547, 1118, 5483, 8753, 827, 1950, 6927, 780, 1103, 3932, 267, 3079, 540, 8486, 1154, 835, 1996, 1776, 267, 1004, 1223, 4324, 689, 9001, 1312, 5686, 540, 2923, 2959, 4470, 593, 741, 2115, 269, 27919, 5129, 513, 2629, 1909, 1934, 1932, 1107, 9301, 602, 1866, 949, 4782, 4244, 2409, 3366, 547, 16268, 19929, 1851, 32283, 619, 2864, 982, 14962, 633, 7440, 269, 1635, 8026, 5683, 4616, 6208, 971, 607, 1249, 19295, 9535, 543, 5275, 2789, 16752, 267, 2043, 2968, 3743, 4961, 1134, 25668, 5792, 547, 6330, 938, 10562, 1158, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 22081, 1281, 519, 3795, 540, 3486, 3377, 8428, 1063, 2228, 543, 2757, 2923, 2959, 888, 296, 798, 711, 723, 2123, 8369, 269, 2705, 267, 1775, 666, 1459, 519, 1739, 2489, 7422, 3823, 519, 3795, 540, 3486, 3377, 1063, 2228, 543, 2757, 2923, 2959, 1384, 272, 269, 3432, 543, 4626, 17165, 281, 2228, 2923, 2959, 666, 5838, 8840, 3377, 3592, 14678, 267, 1419, 5488, 982, 2757, 2923, 2959, 269, 585, 1383, 267, 3377, 7270, 543, 1514, 2923, 5867, 666, 9337, 3377, 2984, 538, 1483, 942, 267, 799, 1797, 2228, 2923, 2959, 666, 1419, 1867, 593, 2621, 1101, 269, 2757, 2923, 2959, 267, 593, 519, 824, 1688, 267, 1522, 1491, 3476, 547, 1867, 1813, 547, 741, 21107, 1184, 267, 8228, 610, 31076, 16131, 780, 273, 269, 3178, 543, 2079, 281, 2757, 2923, 2959, 4043, 547, 2709, 811, 538, 3829, 543, 10763, 3795, 540, 3377, 2621, 269, 2757, 2923, 19093, 616, 1419, 5234, 539, 676, 3318, 20859, 945, 1382, 267, 8495, 267, 543, 1867, 593, 2621, 267, 3246, 2796, 543, 2079, 540, 2621, 269, 593, 331, 10640, 25147, 3197, 609, 3982, 14789, 269, 634, 1650, 1058, 11200, 998, 741, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 267, 10771, 519, 2956, 540, 6568, 267, 7881, 267, 543, 1966, 9010, 563, 763, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 269, 0, 8702, 547, 519, 1158, 540, 5904, 543, 875, 789, 948, 721, 4194, 2042, 256, 4653, 267, 649, 2811, 2469, 547, 1451, 827, 1945, 1572, 1412, 25413, 2264, 4886, 1299, 7177, 10086, 1141, 1004, 1711, 2780, 3292, 602, 948, 721, 798, 782, 12204, 540, 1919, 811, 3362, 269, 1284, 786, 849, 2263, 1079, 1271, 2035, 1369, 713, 2361, 910, 5741, 5004, 543, 8668, 6796, 5004, 630, 3951, 15551, 1040, 2913, 781, 4685, 1318, 538, 2439, 5331, 596, 723, 513, 2462, 2856, 585, 513, 1007, 5985 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1739, 519, 2757, 4881, 3652, 267, 2705, 267, 972, 616, 513, 1906, 1883, 2188, 602, 666, 1118, 621, 2009, 269, 634, 9058, 2680, 540, 23011, 645, 2335, 3563, 8840, 519, 2185, 18826, 11064, 538, 476, 4198, 275, 4951, 602, 609, 519, 1318, 4480, 543, 4998, 2175, 267, 513, 1480, 666, 8197, 2196, 513, 1016, 31644, 18826, 13304, 269, 2755, 713, 568, 606, 6909, 9028, 267, 621, 568, 1869, 711, 513, 10018, 602, 3025, 666, 798, 621, 269, 17859, 267, 519, 7415, 1650, 540, 23011, 645, 2335, 3563, 786, 11014, 581, 15422, 543, 786, 3136, 547, 8300, 1082, 9845, 2066, 519, 1158, 563, 4692, 2974, 664, 12157, 339, 2196, 513, 13304, 513, 8792, 888, 1432, 568, 513, 3728, 1164, 1153, 13304, 888, 1103, 1034, 2694, 540, 519, 772, 2529, 1421, 1164, 1153, 8695, 945, 666, 2196, 513, 1016, 268, 275, 281, 876, 13304, 666, 581, 1360, 8013, 593, 519, 1164, 1153, 3950, 543, 3444, 2197, 6887, 630, 1492, 1034, 16918, 666, 2196, 606, 896, 268, 274, 281, 2568, 13304, 1040, 634, 1482, 568, 3020, 585, 1164, 1153, 6690, 945, 666, 2196, 513, 1016, 268, 276, 281, 876, 13304, 630, 1492, 16595, 2053, 616, 2630, 476, 275, 281, 2412, 1040, 0, 31871, 540, 2371, 1336, 281, 476, 1724, 1475, 7093, 341, 1475, 7883, 547, 2985, 10573, 272, 1475, 273, 2008, 21595, 332, 6438, 3529, 269, 2368, 2818, 540, 713, 1804, 12593, 540, 936, 476, 7785, 2249, 1332, 3552, 2059, 519, 694, 1662, 2803, 540, 519, 9341, 7414, 543, 666, 1831, 1507, 4054, 267, 1247, 824, 267, 695, 745, 6277, 1512, 2249, 22937, 2933, 547, 4677, 8916, 269, 634, 2442, 2012, 24283, 689, 519, 1249, 602, 519, 1279, 267, 533, 4459, 569, 3762, 10836, 538, 513, 17684, 6438, 11460, 269, 12344, 519, 1034, 16560, 2249, 568, 623, 269, 5070, 29800, 267, 609, 3039, 543, 5835, 4174, 6244, 3762, 269, 28161, 3833, 1804, 267, 476, 277, 547, 476, 279, 15432, 538, 4463, 267, 543, 865, 1590, 581, 5402, 521, 1243, 538, 513, 4677, 269, 17455, 29104, 568, 513, 1360, 22537, 2030, 267, 1498, 621, 27422, 3905, 267, 3819, 2175, 269, 634, 15864, 1505, 540, 18640, 568, 676, 27191, 267, 799, 3597, 11593, 950, 5116, 2047, 538, 519, 3037, 269, 634, 3762, 540, 891, 4054, 616, 6394, 676, 16971, 2021, 543, 616, 1031, 585, 22805, 7802, 1570, 269, 667, 13433, 666, 581, 6394, 856, 540, 519, 5072, 543, 1031, 585, 4224, 1148, 7206, 269, 4746, 267, 519, 2030, 568, 1031, 585, 8156, 6553, 676, 28277, 519, 3762, 1472, 519, 22224, 5544, 267, 547, 1711, 606, 4550, 13611, 1198, 563, 288, 1804, 2249, 689, 28801, 602, 7472, 513, 7347, 267, 588, 2830, 268, 549, 6838, 17657, 543, 513, 5394, 267, 29822, 3303, 16226, 13862, 540, 7646, 569, 838, 4176, 267, 1769, 3039, 610, 3006, 5594, 4544, 25984, 3762, 609, 1360, 10694, 2699, 19114, 269, 7454, 14018, 547, 519, 21050, 923, 543, 3636, 5705, 1886, 923, 267, 623, 269, 3351, 529, 568, 5310, 519, 1034, 2442, 17684, 12566, 538, 14713, 269, 901, 3529, 6499, 2407, 3141, 267, 568, 711, 535, 1380, 344, 585, 3037, 1543, 543, 568, 711, 6070, 27031, 269, 674, 23459, 6500, 568, 3622, 711, 2556, 269, 2558, 21148, 513, 17684, 12566, 568, 16602, 1317, 8371, 1810, 1405, 723, 26862, 19512, 269, 1403, 596, 2759, 519, 12363, 3395, 1858, 267, 519, 7936, 786, 711, 1332, 15042, 267, 621, 786, 3251, 513, 513, 588, 2794, 269, 1280, 713, 2601, 267, 2759, 519, 8371, 596, 991, 547, 2759, 1141, 789, 786, 581, 519, 2547, 18476, 563, 303, 663, 29104, 1654, 3558, 4512, 568, 513, 1507, 21906, 602, 9428, 1063, 476, 273, 543, 476, 276, 3952, 7381, 269, 898, 666, 20496, 2407, 3141, 547, 1769, 12094, 1247, 3395, 267, 855, 568, 1655, 5116, 538, 10859, 6879, 1228, 610, 513, 6505, 4087, 16280, 269, 898, 3340, 9793, 1216, 543, 568, 5078, 585, 3395, 538, 22340, 7233, 10434, 1465, 2098, 2158, 476, 280, 268, 1556, 269, 901, 2030, 568, 1034, 25343, 585, 922, 25798, 16714, 910, 519, 3762, 616, 1279, 543, 28795, 267, 543, 723, 513, 2189, 13869, 6438, 5920, 563, 2691, 3395, 17455, 29104, 1654, 3558, 4512, 538, 513, 1494, 267, 621, 568, 1271, 547, 3442, 513, 8708, 609, 7899, 540, 12775, 9475, 269, 19130, 621, 609, 606, 2011, 344, 267, 1134, 1673, 20995, 29238, 3575, 543, 1216, 621, 5781, 865, 602, 519, 1283, 1079, 6279, 540, 3037, 3251, 5594, 5848, 269, 769, 21617, 16374, 267, 621, 568, 1655, 547, 1832, 713, 2030, 16280, 607, 621, 3884, 1405, 15470, 27031, 269, 3629, 707, 17455, 29104, 1654, 3558, 4512, 609, 7899, 540, 1769, 543, 5210, 540, 1063, 476, 4792, 268, 5952, 13790, 269, 5901, 519, 11195, 1164, 547, 2327, 519, 1655, 2009, 2208, 563, 4415, 922, 10875, 28033, 16714, 267, 17455, 29104, 1654, 3558, 4512, 2306, 513, 1390, 25798, 2030, 585, 5321, 267, 13646, 543, 10651, 269, 4706, 2702, 547, 8853, 16280, 543, 856, 2306, 621, 513, 1390, 3903, 952, 596, 2811, 3168, 585, 513, 2030, 547, 1039, 513, 5905, 540, 519, 21050, 923, 547, 707, 1604, 269, 0, 534, 4519, 6701, 930, 2052, 828, 571, 1016, 31755, 6632, 614, 982, 1866, 286, 14175, 6420, 1239, 3081, 9811, 267, 855, 2257, 3081, 1100, 3528, 4460, 639, 28553, 8583, 454, 5278, 2052, 828, 4920, 31274, 602, 741, 1016, 7875, 4991, 811, 4764, 982, 824, 2694, 540, 519, 2749, 563, 8448, 7264, 2161, 789, 2760, 3100, 547, 2941, 519, 3389, 5006, 8813, 563, 763, 13163, 540, 25561, 1108, 25173, 1239, 693, 1082, 4609, 2066, 519, 20554, 2443, 865, 596, 9364, 8263, 621, 1131, 581, 2653, 547, 960, 856, 799, 2694, 616, 519, 6632, 11687, 563, 21953, 1247, 519, 1239, 2982, 5693, 1141, 4764, 814, 15468, 267, 519, 2257, 540, 14368, 1108, 3081, 267, 538, 1198, 267, 1810, 1405, 581, 18174, 539, 676, 519, 2338, 563, 2171, 3513, 2119, 547, 10002, 1157, 602, 14196, 855, 267, 1101, 267, 1577, 781, 1413, 693, 519, 1239, 563, 763, 7178, 729, 6632, 614, 2560, 649, 1589, 454, 2171, 8947, 811, 982, 476, 3583, 1296, 540, 11811, 1239, 2066, 476, 736, 4609, 538, 543, 1472, 2052, 828, 571, 563, 19013, 267, 4365, 5638, 616, 2484, 689, 3501, 269, 634, 1152, 5812, 10070, 941, 693, 519, 2052, 828, 571, 23076, 543, 519, 6581, 534, 2041, 12505, 6367, 1782, 8630, 563, 3383, 585, 519, 824, 476, 1240, 4609, 267, 649, 4280, 281, 593, 519, 2395, 4764, 729, 6592, 267, 1705, 519, 3135, 1205, 811, 610, 1447, 982, 519, 19633, 888, 763, 2164, 267, 25528, 1934, 267, 2408, 547, 1397, 930, 6237, 3604, 563, 1607, 2250, 1239, 5267, 602, 267, 4470, 593, 1141, 596, 2661, 538, 519, 20554, 267, 519, 3328, 11811, 9775, 676, 607, 1454, 607, 476, 6977, 1984, 22015, 637, 513, 1032, 563, 310, 3480, 2127, 540, 2052, 828, 571, 2443, 1589, 4639, 517, 15880, 543, 20703, 784, 5979, 2443, 3100, 6632, 614, 982, 1346, 538, 519, 7532, 267, 1759, 593, 891, 7422, 563, 3719, 1354, 596, 2699, 30472, 707, 4677, 267, 581, 2264, 281, 519, 1239, 949, 581, 1360, 22801, 563, 305, 664, 1949, 616, 8273, 982, 2370, 2052, 828, 571, 454, 763, 8241, 2817, 2160, 781, 3967, 8291, 14811, 525, 599, 267, 513, 7548, 540, 2916, 2257, 693, 519, 674, 523, 1676, 3427, 540, 5113, 543, 5980, 267, 6941, 519, 1966, 3274, 563, 763, 4336, 593, 799, 4764, 568, 3812, 568, 2462, 2443, 1454, 8273, 982, 2052, 828, 571, 267, 1577, 4805, 519, 1016, 31755, 1369, 621, 563, 10214, 513, 2370, 15921, 592, 748, 6531, 267, 799, 5932, 1152, 513, 2110, 24331, 267, 2199, 17643, 267, 568, 513, 676, 1790, 6055, 540, 7509, 267, 2011, 2604, 543, 2837, 15025, 593, 513, 1454, 3677, 4336, 563, 1607, 568, 1946, 3810, 2199, 2213, 4365, 23004, 616, 1419, 25619, 563, 15239, 11383, 267, 2199, 2188, 2443, 1919, 899, 10239, 2443, 666, 1860, 11811, 267, 7905, 14811, 525, 599, 3081, 563, 763, 682, 525, 728, 540, 930, 1804, 9832, 666, 581, 13104, 539, 689, 4764, 267, 1247, 519, 2842, 1189, 20933, 2941, 338, 621, 563, 23178, 14811, 525, 599, 3081, 3213, 5448, 267, 1175, 936, 476, 1911, 21240, 5045, 540, 2052, 828, 571, 267, 568, 513, 1434, 1383, 281, 519, 16176, 344, 15142, 547, 922, 7178, 2709, 930, 3382, 563, 4913, 267, 2360, 899, 713, 2356, 2291, 1152, 1141, 519, 4764, 2501, 834, 854, 3982, 569, 689, 835, 4287, 8487, 257, 7197, 540, 519, 11811, 26148, 4365, 1949, 602, 5734, 602, 1858, 723, 513, 530, 6856, 569, 2842, 5057, 2437, 1352, 3081, 563, 257, 3383, 972, 568, 513, 1360, 2312, 4764, 6879, 20760, 1198, 538, 602, 851, 540, 519, 3933, 16619, 30577, 4799, 4692, 828, 571, 267, 593, 519, 824, 1688, 267, 568, 1454, 1447, 22150, 982, 3213, 5448, 563, 763, 12798, 543, 2604, 512, 893, 338, 602, 4163, 543, 1711, 7509, 2097, 547, 519, 20554, 689, 1114, 8846, 563, 10190, 972, 568, 519, 2339, 540, 2052, 828, 571, 781, 10239, 2443, 971, 607, 6778, 13177, 543, 4563, 13738, 2443, 610, 1058, 649, 2161, 15113, 563, 257, 2791, 2811, 711, 2469, 547, 1294, 513, 4764, 6879, 20760, 1198, 267, 6862, 513, 11811, 10276, 327, 2331, 1198, 593, 519, 2842, 1189, 2427, 267, 1317, 789, 616, 3274, 711, 2462, 2614, 2437, 7905, 14811, 525, 599, 3081, 563, 763, 5696, 785, 629, 749, 553, 267, 593, 519, 824, 1688, 267, 616, 2462, 2614, 547, 1219, 937, 7509, 2000, 23565, 5045, 2914, 6856, 15533, 20733, 607, 519, 12798, 1935, 2052, 828, 571, 563, 3719, 602, 3085, 1405, 1611, 519, 4764, 1236, 2354, 936, 519, 20703, 784, 5979, 9503, 543, 3338, 538, 519, 6418, 5087, 269, 11088, 267, 621, 2501, 1524, 547, 4336, 563, 257, 5472, 602, 1219, 21124, 7509, 11148, 547, 31083, 2393, 267, 1419, 9991, 7366, 540, 21240, 2476, 267, 711, 538, 519, 1985, 1016, 7875, 2437, 7905, 14811, 525, 599, 3081, 563, 19859, 743, 23660, 2291, 538, 2052, 828, 571, 267, 855, 789, 2811, 827, 3002, 711, 4764, 454, 3383, 666, 649, 4341, 856, 30753, 22836, 540, 2362, 543, 2539, 11811, 538, 2052, 828, 571, 267, 5103, 519, 1239, 11021, 6382, 888, 19285, 9327, 1405, 1289, 621, 606, 4683, 7242, 543, 14962, 621, 7357, 2437, 7905, 14811, 525, 599, 3081, 563, 257, 3719, 593, 519, 4336, 649, 2811, 6158, 827, 267, 596, 4465, 1405, 1294, 2890, 30873, 2360, 593, 13247, 563, 19285, 1589, 649, 2811, 7487, 10859, 268, 12690, 267, 8901, 8390, 2560, 543, 711, 2614, 1239, 4799, 15239, 11383, 267, 972, 616, 2462, 20296, 3604, 1063, 2052, 828, 571, 781, 1016, 31755, 563, 1103, 476, 1001, 278, 267, 513, 595, 10485, 4629, 1353, 540, 2627, 3002, 4951, 875, 4922, 5210, 9867, 2066, 519, 2749, 563, 4002, 513, 3905, 4832, 6640, 267, 4683, 2127, 9867, 676, 607, 1454, 607, 476, 2420, 5232, 22966, 857, 639, 267, 1247, 28180, 2127, 28209, 676, 909, 547, 476, 1015, 290, 563, 2005, 6140, 3357, 1524, 547, 3529, 3382, 543, 519, 2010, 540, 2679, 2326, 1031, 538, 519, 1858, 269, 12878, 2082, 6418, 1016, 31755, 609, 1082, 28301, 4054, 941, 16830, 982, 21364, 2127, 609, 552, 30695, 4054, 267, 543, 1454, 16830, 982, 18960, 1016, 31755, 609, 1100, 9921, 4054, 563, 23178, 14811, 525, 599, 3081, 1216, 849, 2488, 513, 9023, 1198, 563, 257, 15371, 621, 781, 513, 10720, 610, 513, 32446, 7404, 267, 621, 786, 2539, 519, 2011, 2837, 2437, 1352, 3081, 563, 257, 10303, 267, 607, 519, 1216, 18493, 919, 267, 930, 540, 519, 1648, 602, 1131, 6382, 581, 5433, 607, 24534, 3002, 538, 519, 2011, 786, 581, 6740, 607, 24353, 3002, 538, 519, 1216, 32350, 4799, 3383, 649, 949, 711, 581, 2111, 547, 3142, 4764, 547, 938, 1016, 7875, 267, 855, 649, 666, 948, 3579, 621, 1524, 269, 1284, 1175, 991, 2614, 1216, 547, 1832, 519, 4054, 9800, 269, 0, 25582, 476, 272, 281, 25043, 540, 7216, 17402, 1107, 12474, 5623, 454, 14630, 540, 4427, 3939, 912, 25582, 476, 272, 281, 25043, 540, 7216, 17402, 1107, 12474, 5623, 454, 272, 269, 5994, 596, 616, 513, 9251, 8689, 5870, 609, 513, 2385, 945, 568, 6236, 679, 13764, 1200, 476, 275, 4458, 6040, 538, 707, 1982, 269, 2701, 12134, 875, 596, 786, 948, 1200, 1126, 1451, 547, 1224, 543, 6257, 960, 9248, 585, 4484, 543, 3280, 2259, 602, 1352, 1207, 903, 585, 1200, 1126, 547, 946, 693, 1753, 269, 3503, 707, 3210, 267, 1519, 2035, 602, 616, 1271, 585, 713, 2385, 547, 1174, 827, 519, 5107, 540, 5711, 1893, 267, 2035, 540, 1820, 267, 13093, 2438, 4656, 267, 543, 9904, 1702, 538, 606 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1143, 639, 31865, 681, 636, 648, 476, 1001, 277, 1916, 310, 565, 742, 779, 3409, 7282, 519, 9295, 540, 519, 7344, 1935, 547, 519, 3356, 540, 9443, 630, 310, 565, 742, 476, 14378, 271, 267, 476, 1240, 1700, 866, 264, 12607, 4680, 519, 2856, 602, 519, 1697, 7344, 7778, 540, 9259, 3085, 1406, 4734, 2230, 585, 2417, 3123, 543, 9988, 267, 899, 519, 3283, 5189, 538, 519, 3026, 6955, 520, 4577, 2245, 610, 1256, 538, 13053, 1014, 2257, 269, 4634, 519, 7706, 540, 519, 1272, 9443, 267, 3662, 543, 1480, 267, 3217, 5383, 689, 519, 7344, 1935, 267, 865, 602, 26728, 742, 3085, 1406, 19292, 547, 1489, 519, 1775, 520, 4435, 2559, 626, 26179, 32129, 10458, 630, 14917, 271, 1700, 14690, 273, 264, 538, 1010, 6560, 1996, 519, 4105, 2065, 2093, 540, 9677, 21321, 560, 853, 22844, 630, 13679, 280, 1700, 15876, 275, 1916, 5629, 519, 30424, 1063, 7271, 543, 1570, 1143, 814, 1044, 25323, 267, 7271, 666, 581, 7550, 607, 513, 3811, 1259, 547, 2491, 519, 5169, 543, 8647, 540, 2067, 9259, 538, 513, 1158, 1141, 2339, 568, 21739, 12809, 543, 12199, 676, 519, 4031, 540, 3350, 269, 634, 7344, 1011, 1709, 799, 7575, 689, 519, 968, 338, 11211, 2601, 892, 540, 1142, 1689, 538, 519, 1158, 1107, 602, 568, 689, 519, 3608, 2014, 540, 519, 14842, 543, 711, 689, 922, 16957, 3803, 2014, 1107, 9060, 922, 17837, 1851, 519, 18793, 540, 513, 4105, 2065, 10066, 538, 1272, 9443, 267, 945, 4769, 1406, 1152, 7947, 519, 2856, 540, 513, 17033, 12809, 2339, 855, 941, 1134, 26356, 547, 1459, 513, 7658, 1670, 7778, 540, 519, 2324, 540, 7103, 269, 634, 3134, 559, 4084, 540, 519, 3811, 30566, 344, 540, 7271, 538, 2067, 2257, 543, 540, 519, 8942, 547, 15260, 612, 922, 19815, 2438, 14496, 1256, 538, 519, 2361, 540, 1272, 9443, 8452, 538, 476, 9692, 271, 609, 23006, 779, 3954, 10586, 540, 519, 1202, 340, 11797, 540, 513, 6986, 7344, 7778, 7282, 9259, 602, 3100, 547, 16637, 519, 7954, 540, 7344, 3123, 269, 23006, 779, 4583, 3948, 593, 519, 791, 1601, 2225, 540, 513, 968, 6124, 2023, 540, 519, 2349, 1228, 540, 23420, 892, 538, 1010, 7600, 1664, 540, 519, 5295, 540, 7225, 8540, 630, 31086, 476, 4037, 264, 4564, 519, 4436, 9295, 547, 519, 3954, 10586, 540, 519, 1202, 340, 11797, 540, 2964, 2065, 3137, 538, 519, 7706, 540, 561, 643, 902, 543, 693, 513, 942, 519, 14710, 540, 519, 7344, 2203, 540, 5214, 2470, 563, 268, 14863, 1372, 808, 293, 630, 10204, 272, 264, 19837, 1068, 26559, 9158, 3821, 632, 1975, 3626, 345, 1143, 334, 24970, 1975, 3626, 345, 600, 269, 670, 4150, 281, 7009, 1188, 601, 11386, 10104, 454, 268, 14863, 1372, 808, 293, 630, 14378, 278, 264, 634, 4513, 634, 11043, 2801, 632, 19473, 1143, 334, 1696, 22530, 819, 324, 269, 808, 6511, 281, 645, 1408, 322, 651, 11386, 10104, 454, 268, 674, 822, 732, 26152, 6682, 1842, 2086, 1512, 334, 631, 630, 1001, 275, 264, 5487, 11024, 383, 362, 928, 964, 3123, 2470, 331, 956, 269, 4223, 2946, 7434, 1143, 324, 1696, 14603, 1143, 324, 1750, 345, 2274, 30519, 714, 267, 26728, 742, 1696, 682, 2720, 10779, 320, 2231, 269, 667, 1460, 6953, 3726, 328, 11726, 1889, 13961, 11726, 2193, 476, 5379, 281, 14530, 1700, 16825, 11386, 10104, 454, 268, 700, 1052, 808, 630, 15094, 277, 264, 25429, 20133, 727, 267, 694, 340, 281, 2856, 2555, 339, 3821, 1062, 15384, 21042, 903, 545, 328, 16423, 1014, 328, 267, 524, 14241, 267, 2107, 26559, 632, 18682, 1304, 807, 590, 14373, 636, 1476, 18676, 3570, 267, 711, 529, 1714, 523, 8157, 529, 267, 4051, 320, 269, 7671, 31060, 281, 12928, 5255, 11386, 10104, 454, 268, 700, 879, 570, 299, 630, 14378, 278, 264, 25990, 525, 9158, 545, 2801, 632, 1546, 334, 267, 24634, 334, 1696, 4630, 710, 269, 1793, 11386, 10104, 454, 268, 2274, 30519, 714, 28047, 630, 15433, 279, 264, 661, 743, 1515, 322, 23579, 618, 964, 2352, 15530, 6446, 631, 976, 773, 584, 7345, 548, 513, 5538, 341, 2946, 525, 546, 753, 682, 30918, 11726, 1889, 562, 537, 557, 879, 632, 561, 685, 684, 542, 632, 561, 685, 877, 1696, 5918, 24767, 269, 2876, 334, 790, 964, 522, 12320, 571, 2471, 964, 5260, 1218, 5147, 267, 476, 31696, 1700, 31079, 269, 1621, 331, 269, 6037, 269, 19247, 540, 519, 7965, 799, 631, 269, 7345, 548, 1336, 609, 519, 1007, 1062, 540, 519, 9769, 540, 519, 9997, 543, 1560, 269, 769, 281, 26741, 5264, 19954, 267, 17012, 4242, 681, 630, 2644, 264, 2274, 30519, 714, 779, 2048, 2908, 1062, 685, 543, 2404, 4207, 5931, 269, 29366, 526, 517, 4964, 267, 10228, 476, 1220, 277, 267, 6032, 476, 8064, 1700, 10436, 11386, 10104, 454, 268, 2274, 30519, 714, 28047, 630, 10204, 276, 264, 6987, 11681, 5918, 667, 2109, 32666, 632, 631, 269, 7345, 548, 2376, 681, 528, 23581, 533, 269, 476, 28796, 280, 13483, 336, 269, 632, 561, 685, 292, 1288, 632, 561, 685, 534, 269, 476, 10204, 273, 513, 11355, 8544, 1121, 541, 13196, 269, 1621, 331, 269, 6037, 269, 1133, 335, 21242, 22227, 593, 7345, 548, 779, 8074, 700, 269, 769, 281, 26741, 5264, 19954, 267, 17012, 4242, 681, 630, 2644, 264, 2274, 30519, 714, 779, 2048, 2908, 1062, 685, 543, 2404, 4207, 5931, 269, 29366, 526, 517, 4964, 267, 10228, 476, 1220, 277, 267, 6032, 476, 9834, 1700, 13040, 11386, 10104, 454, 268, 2274, 30519, 714, 28047, 267, 22548, 651, 590, 630, 14378, 276, 264, 4856, 22046, 766, 2274, 30519, 714, 4211, 24882, 651, 630, 539, 281, 7605, 6839, 589, 1040, 29706, 293, 267, 8303, 476, 4198, 278, 11386, 10104, 454, 268, 700, 17690, 623, 630, 1001, 275, 264, 2274, 30519, 714, 779, 1984, 4661, 1996, 7344, 1570, 1143, 20460, 1243, 269, 8210, 2998, 476, 272, 11386, 10104, 454, 268, 2725, 1170, 1676, 22743, 630, 15876, 278, 264, 11096, 2684, 529, 2583, 22858, 6625, 513, 639, 4168, 26728, 742, 338, 521, 7564, 31198, 997, 1156, 632, 583, 2675, 1156, 5576, 17287, 1084, 269, 7345, 516, 3578, 281, 966, 1512, 1782, 11386, 10104, 454, 268, 715, 1807, 335, 623, 630, 6642, 272, 264, 2274, 30519, 714, 3768, 3541, 7698, 1143, 639, 630, 539, 281, 4591, 345, 30750, 670, 1040, 2289, 807, 682, 756, 27848, 10005, 476, 1704, 630, 2735, 276, 2567, 476, 274, 1700, 1691, 11386, 10104, 454, 268, 681, 636, 648, 623, 630, 1001, 280, 264, 9737, 1975, 3626, 345, 1143, 543, 1570, 1143, 281, 20435, 30686, 14863, 1372, 543, 519, 2038, 4436, 21481, 269, 5246, 643, 1470, 1019, 2083, 657, 1993, 807, 476, 9262, 281, 4375, 1700, 6321, 11386, 10104, 454, 268, 853, 657, 577, 674, 310, 630, 15433, 273, 320, 264, 19270, 867, 807, 32311, 529, 1696, 535, 728, 328, 269, 24545, 11386, 10104, 454, 268, 853, 657, 577, 674, 310, 630, 15433, 273, 321, 264, 25715, 632, 1918, 320, 269, 769, 281, 853, 657, 577, 476, 15433, 273, 267, 6032, 476, 21172, 1700, 18891, 11386, 10104, 454, 268, 9546, 577, 808, 294, 630, 15094, 277, 264, 11096, 2684, 529, 2583, 22858, 6625, 269, 808, 12171, 269, 717, 1194, 1080, 577, 267, 2274, 760, 345, 580, 11386, 10104, 454, 268, 26728, 742, 595, 630, 14378, 271, 264, 9210, 626, 3121, 11815, 15975, 807, 538, 844, 320, 966, 5028, 9158, 23706, 2964, 545, 2801, 711, 1470, 1011, 545, 656, 584, 269, 769, 281, 16740, 1421, 2725, 2280, 655, 1092, 14387, 334, 14428, 3342, 2684, 3821, 269, 670, 4150, 281, 681, 10152, 476, 11260, 276, 267, 590, 624, 1470, 8633, 267, 715, 269, 476, 273, 11386, 10104, 454, 268, 26728, 742, 595, 630, 14378, 280, 264, 31996, 6686, 333, 742, 339, 15607, 717, 539, 534, 1188, 523, 13153, 717, 2714, 267, 3541, 654, 3881, 3768, 3541, 6423, 548, 964, 631, 839, 7770, 267, 513, 1276, 782, 523, 667, 532, 523, 3331, 376, 828, 327, 879, 696, 1496, 284, 23389, 5450, 7469, 12695, 4940, 670, 4150, 281, 681, 10152, 11386, 10104, 454, 268, 26728, 742, 595, 630, 15094, 275, 264, 14216, 31546, 6686, 333, 742, 339, 3394, 717, 539, 534, 1188, 523, 13153, 717, 2714, 267, 3541, 654, 3881, 3768, 3541, 6423, 548, 964, 631, 839, 7770, 267, 513, 1276, 782, 523, 667, 532, 523, 3331, 376, 828, 327, 879, 696, 267, 1656, 19907, 634, 559, 267, 1655, 324, 9150, 538, 513, 639, 325, 6686, 15590, 997, 1156, 1323, 1067, 1188, 684, 2102, 1496, 284, 2304, 2254, 725, 547, 519, 4436, 5450, 7469, 12695, 4940, 7671, 31060, 281, 1656, 16699, 11386, 10104, 454, 268, 26728, 742, 595, 630, 15094, 277, 264, 589, 639, 325, 6686, 15590, 997, 515, 715, 778, 5341, 339, 13153, 694, 514, 523, 14802, 523, 5576, 337, 858, 1084, 269, 3057, 7921, 281, 1656, 16699, 11386, 10104, 454, 268, 26728, 742, 595, 630, 15876, 272, 264, 15328, 332, 860, 807, 2489, 529, 267, 1505, 334, 3621, 320, 14866, 847, 1092, 269, 2274, 760, 345, 580, 267, 7671, 31060, 11386, 10104, 454, 268, 2098, 539, 2401, 808, 295, 630, 15876, 280, 264, 24162, 525, 2019, 331, 560, 7564, 526, 580, 525, 17629, 6441, 1410, 6625, 782, 518, 654, 1170, 839, 577, 3530, 1084, 3768, 918, 6686, 333, 4614, 267, 2019, 2473, 21197, 267, 476, 272, 560, 1196, 333, 269, 670, 4150, 1700, 8867, 760, 345, 580, 267, 6032, 476, 15876, 273, 1700, 11260, 271, 11386, 10104, 0, 1607, 1808, 9768, 7160, 568, 4867, 711, 2139, 24707, 782, 12215, 540, 713, 9768, 7160, 912, 305, 663, 543, 14986, 674, 12661, 5025, 628, 1459, 2963, 602, 711, 1152, 1705, 606, 4359, 10340, 2899, 2291, 593, 519, 11782, 1631, 1634, 607, 19778, 267, 855, 602, 621, 729, 4440, 10032, 538, 513, 2518, 31685, 1472, 476, 31634, 271, 645, 5861, 269, 602, 17146, 519, 11782, 540, 7284, 656, 529, 547, 922, 1459, 2990, 538, 519, 818, 8157, 7297, 563, 763, 4589, 946, 8176, 670, 777, 16591, 781, 3069, 540, 3618, 12933, 12761, 547, 2491, 891, 679, 580, 5733, 281, 693, 1585, 5933, 538, 840, 20931, 519, 3618, 781, 12933, 17146, 13497, 267, 4929, 16767, 267, 23864, 6329, 267, 14042, 20296, 2242, 910, 9552, 602, 1223, 21933, 30185, 513, 10427, 10340, 269, 1635, 4974, 519, 3504, 7851, 267, 18573, 781, 10881, 607, 547, 519, 4087, 540, 7284, 656, 529, 267, 543, 10486, 1063, 14868, 689, 1472, 519, 1158, 267, 519, 674, 12661, 5025, 2195, 9959, 602, 513, 10340, 540, 10995, 13837, 31600, 1705, 2291, 930, 476, 1321, 267, 1822, 1296, 3516, 855, 729, 10032, 676, 513, 17027, 9568, 267, 6028, 1152, 513, 1906, 15000, 547, 16102, 922, 17691, 585, 16968, 640, 269, 634, 5916, 2963, 2798, 20310, 569, 693, 19778, 267, 1141, 267, 896, 513, 24120, 540, 791, 523, 25523, 1076, 4672, 267, 6013, 519, 4503, 2749, 540, 7284, 656, 529, 563, 257, 27675, 18462, 257, 949, 4866, 547, 1776, 7160, 540, 713, 2140, 563, 3198, 5746, 7728, 31253, 4306, 2207, 22494, 1315, 21832, 589, 12283, 454, 2108, 2304, 5140, 1433, 602, 568, 711, 1152, 18991, 21503, 855, 849, 5393, 19278, 547, 1224, 269, 634, 674, 12661, 5025, 2195, 685, 3069, 593, 7284, 656, 529, 786, 979, 1524, 538, 519, 3045, 1023, 540, 713, 1641, 607, 835, 540, 519, 1034, 20310, 543, 19511, 269, 4270, 2944, 585, 519, 1101, 11665, 4663, 632, 3196, 3034, 734, 27144, 645, 879, 1998, 267, 2278, 540, 4563, 19606, 543, 634, 2107, 542, 25491, 454, 1103, 713, 4625, 15428, 543, 9450, 7160, 540, 1879, 519, 21708, 26665, 267, 11969, 543, 14986, 674, 12661, 5025, 628, 1397, 602, 476, 1321, 267, 1822, 1296, 3516, 5318, 2127, 540, 19778, 941, 1863, 689, 4672, 543, 1753, 547, 519, 10806, 540, 7284, 656, 529, 267, 513, 20790, 602, 849, 12461, 14688, 31758, 519, 13655, 540, 4672, 6502, 543, 2527, 970, 18728, 267, 519, 21800, 5001, 4473, 540, 6683, 267, 543, 519, 2707, 540, 14042, 22300, 2916, 1689, 269, 5890, 21505, 2390, 8176, 670, 777, 16591, 779, 3069, 540, 3618, 12933, 12761, 267, 799, 729, 13084, 16845, 676, 15751, 18160, 267, 789, 4983, 3504, 2943, 3810, 4977, 1158, 7851, 267, 1519, 519, 623, 21105, 1234, 529, 4786, 540, 476, 14681, 274, 267, 543, 1397, 875, 519, 3618, 779, 12933, 17146, 538, 476, 31634, 271, 14514, 267, 1951, 21794, 7284, 656, 529, 883, 519, 8701, 7997, 1141, 621, 1631, 6013, 9944, 5195, 540, 21303, 4672, 269, 3245, 519, 31180, 267, 670, 4660, 320, 267, 543, 744, 16988, 12298, 540, 3345, 3013, 547, 519, 9998, 5638, 540, 5527, 267, 9459, 267, 6792, 267, 543, 3567, 267, 789, 7866 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9167, 5214, 267, 17692, 302, 4456, 267, 543, 29436, 1815, 1108, 269, 1452, 1331, 5610, 540, 5186, 6137, 543, 3662, 1949, 543, 9742, 3903, 269, 769, 4334, 267, 2853, 585, 3662, 2359, 267, 6604, 2409, 538, 3662, 1072, 267, 3662, 8027, 267, 3662, 10304, 267, 3662, 6484, 267, 543, 18915, 2359, 616, 3989, 610, 4330, 8335, 269, 630, 275, 264, 13565, 547, 1426, 1949, 267, 5214, 6683, 1445, 4513, 593, 2930, 3344, 267, 971, 607, 1426, 4393, 267, 1247, 538, 29436, 1815, 1108, 972, 568, 513, 7986, 7521, 1063, 513, 13710, 543, 14883, 894, 16786, 269, 5637, 29436, 1815, 1108, 543, 5214, 6683, 2709, 9621, 7418, 585, 519, 2104, 1646, 540, 4264, 6694, 2504, 543, 1426, 1949, 267, 2523, 952, 741, 3741, 543, 2853, 27721, 547, 513, 13710, 1935, 543, 602, 15641, 525, 519, 6671, 5314, 540, 29436, 32103, 1949, 269, 0, 289, 10165, 7734, 10432, 5181, 476, 1240, 910, 476, 2190, 454, 9336, 5181, 267, 8021, 267, 3506, 267, 29481, 267, 15882, 267, 543, 824, 2199, 525, 1472, 519, 1158, 8661, 519, 1318, 547, 1224, 1282, 645, 10165, 7734, 10432, 269, 2311, 922, 2295, 267, 645, 10165, 7734, 10432, 568, 513, 11812, 540, 519, 5191, 547, 1569, 2093, 267, 513, 4909, 1318, 602, 12851, 547, 3025, 543, 936, 799, 1100, 835, 1268, 610, 1507, 1895, 540, 1004, 1058, 3180, 32022, 269, 645, 10165, 7734, 10432, 568, 513, 11812, 540, 2835, 267, 14676, 267, 4249, 267, 1148, 267, 19761, 267, 543, 1454, 811, 563, 4415, 1433, 2591, 593, 519, 4473, 267, 621, 568, 811, 1271, 982, 2479, 547, 5431, 543, 4339, 24890, 538, 782, 922, 3029, 543, 2149, 519, 1318, 547, 1224, 543, 1589, 563, 21158, 19964, 23645, 0, 300, 30291, 636, 1107, 1548, 1772, 898, 543, 1215, 547, 8073, 898, 454, 3528, 808, 650, 1014, 7935, 5417, 639, 543, 932, 3089, 595, 639, 3861, 334, 454, 18550, 8496, 1145, 949, 581, 936, 267, 855, 649, 2461, 1869, 3206, 827, 782, 540, 519, 2188, 602, 3366, 547, 17857, 10888, 519, 23594, 1222, 281, 5578, 267, 16542, 267, 9015, 267, 18006, 267, 9939, 267, 8990, 267, 543, 4640, 267, 547, 2012, 513, 1906, 563, 4913, 267, 972, 779, 1776, 12146, 538, 519, 3575, 602, 779, 513, 2370, 811, 2352, 547, 22945, 267, 855, 26837, 22239, 30289, 547, 519, 1967, 540, 1022, 3804, 281, 11610, 563, 288, 2165, 1419, 3989, 538, 6323, 9499, 267, 11610, 568, 968, 1492, 7274, 540, 5163, 540, 513, 3001, 1560, 267, 6027, 607, 513, 1587, 540, 922, 2527, 543, 6991, 1848, 1717, 267, 538, 2474, 540, 519, 1379, 540, 11610, 538, 938, 3232, 2729, 267, 621, 949, 581, 811, 3730, 547, 5581, 13053, 779, 3689, 4521, 540, 18289, 269, 634, 1876, 540, 24880, 2829, 602, 834, 9336, 1843, 538, 513, 1533, 540, 7833, 5163, 11148, 547, 2611, 538, 602, 1533, 540, 5163, 8259, 606, 5007, 3196, 568, 4294, 547, 621, 4799, 1103, 2110, 267, 3615, 538, 5163, 1058, 3251, 538, 5163, 267, 8259, 29572, 539, 676, 606, 3544, 3815, 269, 6787, 538, 6323, 610, 538, 1272, 267, 891, 2188, 2611, 519, 1482, 281, 4187, 267, 3625, 3547, 267, 610, 513, 27445, 1592, 540, 7298, 610, 15865, 9465, 630, 704, 4257, 8904, 952, 649, 2461, 7234, 6323, 267, 610, 4250, 952, 649, 2461, 7234, 1272, 1040, 1924, 267, 875, 666, 649, 7753, 891, 9465, 547, 2226, 11610, 543, 3035, 938, 3853, 286, 1284, 4076, 16432, 513, 1592, 540, 476, 1015, 6836, 7146, 2389, 4902, 3268, 2336, 9359, 2368, 3602, 1107, 1403, 11610, 568, 782, 827, 4543, 519, 3440, 5066, 5488, 543, 5488, 267, 596, 1101, 1590, 1205, 519, 3440, 12902, 269, 3399, 676, 1818, 513, 7029, 630, 663, 1107, 547, 14678, 1118, 3054, 476, 5655, 260, 811, 2693, 547, 3035, 1967, 267, 2322, 621, 538, 1603, 26695, 30696, 593, 2290, 1107, 29760, 593, 1932, 1082, 1919, 1797, 596, 3112, 1445, 2614, 593, 835, 3364, 269, 1656, 267, 607, 1445, 1793, 2354, 267, 865, 1932, 1281, 11610, 269, 715, 5535, 1524, 707, 3853, 547, 835, 10862, 267, 543, 1118, 621, 513, 1448, 547, 1491, 3268, 2509, 621, 3232, 563, 291, 3195, 8262, 1107, 1703, 779, 1100, 942, 547, 1711, 11610, 952, 707, 3804, 568, 3362, 1369, 3914, 256, 9578, 267, 670, 16576, 2090, 2303, 649, 2461, 2965, 811, 2693, 547, 3035, 2352, 3853, 982, 649, 616, 2653, 3283, 563, 13014, 513, 4643, 1107, 4340, 547, 835, 1867, 267, 968, 8256, 19290, 14045, 547, 3035, 1945, 4679, 707, 8458, 689, 476, 1015, 260, 547, 476, 1839, 10065, 4495, 596, 3442, 950, 543, 723, 513, 2312, 875, 267, 707, 8458, 540, 8011, 532, 1831, 476, 2004, 260, 3034, 8340, 6184, 17508, 1107, 28850, 636, 568, 23185, 676, 8404, 269, 1403, 596, 1265, 3054, 15877, 538, 519, 8545, 267, 1413, 547, 513, 1483, 3734, 1383, 585, 6667, 269, 5808, 814, 6913, 707, 3804, 1354, 596, 286, 1548, 1705, 789, 798, 543, 875, 1705, 789, 798, 621, 286, 6875, 4967, 543, 1107, 811, 11932, 1107, 1413, 547, 873, 547, 7618, 3054, 602, 621, 27114, 581, 2944, 563, 291, 3195, 8262, 267, 855, 21561, 9540, 1107, 1284, 6035, 513, 2656, 6323, 3992, 1657, 267, 543, 1631, 649, 3580, 1491, 621, 1394, 547, 1164, 1153, 2979, 609, 713, 3830, 281, 476, 272, 317, 18458, 815, 476, 272, 476, 272, 269, 4905, 317, 18458, 815, 476, 4391, 269, 4281, 1548, 798, 891, 2338, 1611, 286, 15439, 2322, 267, 1256, 519, 10545, 540, 4679, 1169, 1554, 786, 1039, 909, 15186, 609, 942, 256, 1403, 596, 2461, 513, 5856, 267, 3479, 547, 8380, 513, 5037, 593, 1957, 1169, 1554, 269, 1403, 596, 2461, 593, 513, 2597, 2530, 3460, 267, 1118, 835, 1507, 1689, 547, 1376, 269, 1403, 596, 1616, 547, 18214, 6778, 31231, 560, 267, 1376, 609, 519, 14629, 538, 707, 18147, 269, 5213, 1406, 546, 691, 856, 540, 519, 19235, 1932, 3533, 1107, 3500, 543, 11931, 17993, 519, 5198, 2336, 306, 3832, 7191, 5384, 1107, 9453, 6857, 4674, 543, 5310, 513, 11706, 16369, 267, 596, 2461, 2693, 547, 1832, 3257, 1018, 596, 4076, 2141, 2944, 630, 6518, 786, 1267, 538, 513, 12402, 547, 1832, 3478, 1018, 596, 4076, 2141, 20335, 32656, 21480, 942, 538, 707, 3018, 547, 25058, 547, 707, 3853, 543, 2149, 713, 942, 18979, 569, 563, 1103, 341, 9876, 11524, 1107, 634, 1655, 2707, 540, 8404, 286, 10055, 1464, 4891, 256, 4855, 2576, 945, 786, 5000, 596, 267, 3365, 7596, 596, 267, 543, 6148, 1256, 6443, 596, 593, 707, 18214, 547, 519, 1283, 563, 6826, 21111, 1107, 28850, 636, 3085, 1406, 4755, 16074, 267, 543, 952, 707, 5326, 568, 2462, 2614, 267, 621, 786, 1491, 942, 269, 2142, 3461, 609, 707, 3356, 543, 3479, 547, 519, 1279, 3856, 2336, 12648, 5516, 1107, 28850, 636, 666, 1406, 581, 2813, 952, 707, 1648, 568, 27071, 676, 824, 2188, 269, 3657, 596, 3478, 2614, 3207, 286, 23556, 532, 707, 1560, 5265, 286, 28259, 532, 3054, 609, 1272, 3766, 1516, 3347, 286, 6875, 606, 11891, 540, 707, 1272, 543, 3313, 1141, 596, 1223, 1732, 1305, 3054, 909, 585, 1967, 563, 1692, 616, 596, 3257, 538, 2474, 540, 11610, 286, 1403, 596, 991, 948, 547, 1376, 630, 528, 1832, 264, 519, 3440, 12902, 267, 649, 8910, 2648, 547, 948, 693, 18078, 17106, 11333, 3820, 0, 17951, 518, 568, 513, 2067, 7553, 602, 649, 782, 1745, 269, 898, 568, 513, 1826, 540, 661, 32271, 20237, 7271, 269, 4911, 518, 666, 581, 8756, 1242, 883, 2318, 1648, 543, 3527, 3079, 540, 1373, 16160, 543, 5739, 547, 1004, 1472, 721, 563, 17951, 518, 568, 513, 2067, 7553, 602, 649, 782, 1745, 563, 17951, 518, 568, 513, 2067, 7553, 602, 649, 782, 1745, 269, 898, 568, 513, 1826, 540, 661, 32271, 8878, 7271, 269, 4911, 518, 2306, 596, 1745, 1434, 267, 1317, 596, 616, 3478, 1394, 693, 2576, 945, 10413, 596, 538, 930, 1259, 563, 17951, 518, 568, 2141, 15427, 676, 1945, 2576, 1767, 610, 1705, 602, 10413, 721, 269, 1677, 1205, 7759, 540, 10845, 267, 649, 991, 547, 1174, 1946, 621, 729, 15427, 543, 1287, 6430, 2436, 649, 991, 547, 1689, 938, 2623, 865, 602, 621, 3085, 1406, 4755, 1586, 563, 2005, 568, 513, 1826, 540, 661, 32271, 8878, 7271, 563, 17951, 518, 568, 513, 2067, 7553, 269, 898, 568, 707, 1560, 779, 1259, 540, 10213, 596, 602, 1945, 814, 10413, 596, 267, 543, 602, 621, 2115, 547, 581, 9619, 269, 1548, 713, 1797, 568, 602, 10845, 666, 581, 15427, 676, 4376, 602, 1131, 1118, 2576, 1745, 16091, 610, 12219, 563, 17951, 518, 2501, 689, 513, 1747, 540, 4250, 267, 10462, 543, 1928, 282, 621, 779, 707, 1560, 779, 1259, 540, 10213, 596, 602, 1945, 3884, 1406, 1318, 538, 707, 1272, 610, 1158, 2070, 267, 543, 2115, 547, 1689, 269, 4911, 518, 568, 2141, 15427, 676, 1945, 2576, 1767, 610, 1705, 2443, 606, 29405, 267, 606, 4323, 593, 938, 1915, 610, 10639, 2443, 930, 9228, 13581, 2390, 799, 649, 4076, 5116, 2495, 538, 1931, 547, 2149, 6000, 689, 2417, 10413, 610, 3441, 563, 763, 1966, 609, 10845, 607, 513, 20237, 7271, 568, 1079, 19507, 281, 1101, 569, 267, 950, 649, 1450, 6000, 547, 1831, 14220, 936, 1169, 2370, 3364, 896, 519, 3141, 630, 663, 1419, 711, 1256, 1287, 1070, 649, 2253, 1818, 10239, 856, 540, 3727, 327, 1571, 630, 528, 8726, 804, 747, 2946, 323, 14165, 1655, 17015, 707, 16681, 264, 538, 1931, 585, 721, 711, 1152, 17854, 1373, 14220, 827, 1945, 5634, 855, 849, 9446, 6000, 607, 12004, 344, 3464, 945, 17330, 29059, 1317, 789, 1185, 1044, 865, 3520, 1026, 569, 4636, 539, 676, 1776, 1268, 282, 2034, 569, 7498, 2005, 568, 2141, 15427, 676, 1945, 2576, 1767, 610, 1705, 602, 10413, 721, 563, 17951, 518, 568, 513, 5114, 547, 1945, 2576, 1767, 610, 1705, 602, 10413, 721, 269, 898, 568, 711, 2141, 519, 2013, 1498, 267, 3006, 649, 616, 14220, 609, 6000, 269, 4911, 518, 568, 513, 2067, 7553, 543, 621, 666, 581, 8756, 1242, 883, 2318, 1648, 543, 3527, 563, 18455, 14220, 568, 711, 2141, 3983, 2073, 3006, 1434, 2073, 607, 621, 2337, 596, 547, 19472, 3054, 543, 581, 811, 7682, 633, 563, 17951, 518, 568, 513, 3339, 7553, 602, 3025, 2833, 693, 930, 1448, 538, 741, 2729, 269, 898, 779, 711, 2141, 3983, 267, 607, 621, 666, 581, 8756, 1242, 883, 2318, 1648, 543, 3527, 269, 1280, 1383, 267, 952, 596, 616, 6972, 538, 519, 6288, 543, 513, 2915, 8255, 909, 547, 596, 543, 17486, 707, 1850, 543, 1287, 8255, 2476, 267, 713, 3123, 10845, 269, 901, 568, 711, 513, 1434, 4743, 855, 1317, 540, 519, 5945, 547, 707, 1850, 267, 621, 2306, 596, 14220, 2614, 547, 1616, 547, 1205, 20947, 593, 519, 2915, 945, 10413, 596, 610, 1118, 2386, 602, 713, 1482, 3364, 3085, 1406, 4755, 1586, 609, 1776, 2915, 676, 10825, 4656, 827, 875, 5906, 5243, 666, 581, 950, 789, 2196, 909, 547, 21046, 1510, 1373, 8036, 5265, 676, 741, 5411, 1101, 630, 2421, 1210, 1514, 2923, 5867, 899, 12108, 1916, 1607, 1826, 540, 10845, 4665, 919, 721, 2509, 3257, 1945, 11327, 585, 6000, 3079, 540, 1175, 9361, 1472, 5360, 8724, 827, 875, 1919, 4682, 4636, 585, 721, 269, 769, 1840, 2073, 3006, 1004, 1522, 1745, 13581, 539, 676, 1018, 1866, 798, 610, 2161, 865, 1454, 865, 602, 1256, 1498, 972, 949, 581, 4986, 1471, 4601, 4636, 630, 7224, 7298, 5945, 1070, 2620, 1524, 3330, 649, 1745, 606, 13499, 676, 741, 1913, 270, 13905, 1932, 282, 8754, 835, 2115, 15418, 689, 2576, 3116, 1354, 16561, 1346, 4606, 607, 4570, 3283, 1932, 1317, 6382, 789, 1131, 3274, 11716, 873, 15587, 799, 1223, 1291, 873, 883, 4965, 952, 2451, 15860, 936, 942, 2336, 2691, 596, 616, 14220, 609, 2576, 267, 596, 11129, 547, 2995, 519, 1268, 1946, 596, 616, 14220, 269, 2791, 1058, 798, 713, 1510, 4250, 543, 1510, 16620, 610, 16203, 563, 268, 15681, 519, 1268, 1946, 596, 616, 14220, 563, 268, 5213, 1406, 581, 12922, 547, 2995, 873, 563, 268, 5213, 1406, 16620, 610, 16203, 2389, 8692, 873, 563, 268, 2142, 30251, 543, 16614, 563, 268, 13773, 9350, 543, 1810, 1406, 6318, 707, 5639, 563, 268, 5213, 1406, 581, 17872, 267, 855, 849, 1810, 1406, 1577, 707, 10845, 1205, 519, 1655, 540, 596, 2336, 16605, 1293, 267, 952, 476, 272, 856, 540, 1169, 476, 1015, 268, 1428, 2053, 596, 616, 14220, 1287, 621, 568, 3339, 269, 1403, 476, 272, 856, 540, 476, 274, 268, 275, 2053, 1287, 972, 568, 513, 1966, 563, 2252, 596, 616, 14220, 609, 1004, 945, 616, 2673, 547, 596, 267, 1287 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 284, 3269, 1626, 6912, 263, 274, 32589, 319, 543, 519, 31753, 2387, 273, 343, 317, 273, 266, 3269, 344, 317, 273, 284, 3269, 275, 319, 2073, 1287, 544, 25389, 2387, 332, 317, 275, 266, 3269, 273, 332, 317, 273, 284, 3269, 2190, 319, 1547, 630, 272, 264, 15048, 476, 272, 568, 7301, 267, 3948, 476, 273, 568, 3020, 630, 273, 264, 15048, 476, 272, 568, 3020, 267, 3948, 476, 273, 568, 3020, 282, 3948, 476, 273, 568, 513, 2953, 7778, 585, 3948, 476, 272, 630, 274, 264, 15048, 476, 272, 568, 3020, 267, 3948, 476, 273, 568, 3020, 282, 3948, 476, 273, 568, 711, 513, 2953, 7778, 585, 3948, 476, 272, 630, 275, 264, 15048, 476, 272, 568, 3020, 267, 3948, 476, 273, 568, 7301, 692, 297, 7417, 10790, 27486, 4147, 476, 1321, 1923, 13878, 30278, 2464, 692, 4131, 2387, 288, 3269, 14352, 272, 476, 271, 476, 271, 476, 273, 476, 272, 476, 271, 476, 274, 476, 273, 476, 272, 23375, 1403, 2387, 340, 318, 272, 319, 543, 2387, 340, 318, 273, 319, 616, 6241, 14290, 971, 602, 2387, 288, 579, 318, 272, 14352, 272, 476, 271, 476, 271, 23375, 543, 2387, 288, 579, 318, 273, 14352, 271, 476, 272, 476, 271, 23375, 2073, 1287, 2387, 340, 318, 272, 266, 3269, 340, 318, 273, 319, 568, 3160, 547, 630, 272, 264, 2387, 8987, 272, 476, 272, 476, 271, 23375, 630, 273, 264, 2387, 8987, 272, 476, 272, 268, 272, 23375, 630, 274, 264, 2387, 8987, 272, 268, 272, 476, 271, 23375, 630, 275, 264, 25464, 272, 268, 272, 268, 272, 23375, 692, 297, 7417, 10790, 27486, 4147, 476, 1556, 1923, 645, 2562, 6865, 24361, 5990, 3036, 4932, 692, 2252, 562, 568, 513, 2318, 8870, 267, 1287, 25464, 6912, 263, 274, 11924, 272, 8203, 263, 273, 333, 9984, 263, 6912, 263, 274, 9984, 272, 8203, 263, 273, 333, 23375, 568, 630, 272, 264, 606, 19450, 1297, 630, 273, 264, 606, 9642, 2318, 8870, 630, 274, 264, 606, 1256, 2318, 8870, 630, 275, 264, 513, 7787, 1297, 824, 982, 2318, 9981, 692, 297, 7417, 10790, 27486, 4147, 476, 1015, 1923, 8121, 18952, 10933, 12087, 11550, 16165, 8577, 12778, 306, 692, 2252, 476, 1911, 2053, 519, 2387, 1911, 22677, 339, 554, 23375, 2165, 540, 606, 6673, 609, 1875, 4642, 1455, 3017, 11224, 519, 476, 2004, 2053, 922, 2387, 2004, 22677, 339, 554, 23375, 2165, 267, 1287, 519, 2387, 5611, 22677, 339, 554, 23375, 2165, 540, 713, 6673, 568, 630, 272, 264, 2387, 476, 5611, 319, 630, 273, 264, 476, 5611, 2053, 922, 2387, 2004, 22677, 339, 554, 23375, 2165, 630, 274, 264, 476, 5611, 630, 275, 264, 4642, 692, 297, 7417, 10790, 27486, 4147, 476, 1556, 1923, 13138, 5456, 16688, 4953, 30278, 674, 7419, 290, 16739, 692, 1103, 513, 2387, 18773, 303, 1627, 681, 319, 2073, 952, 2387, 274, 3269, 338, 538, 3269, 303, 3269, 266, 3269, 275, 3269, 6523, 3269, 304, 3269, 284, 3269, 277, 319, 543, 2387, 275, 3269, 338, 538, 3269, 304, 3269, 266, 3269, 274, 3269, 6523, 3269, 303, 3269, 284, 3269, 272, 319, 2073, 1287, 519, 5086, 681, 568, 3160, 547, 630, 272, 264, 25464, 276, 7032, 8358, 277, 319, 630, 273, 264, 2387, 7032, 270, 277, 319, 630, 274, 264, 2387, 7032, 270, 275, 319, 630, 275, 264, 25464, 274, 7032, 8358, 275, 26384, 30238, 689, 8935, 23336, 18133, 0, 258, 9612, 676, 13445, 692, 2971, 8249, 28562, 609, 9255, 1871, 2147, 547, 20134, 667, 823, 1384, 23742, 614, 676, 281, 12474, 1826, 912, 25111, 912, 20806, 3188, 1377, 1384, 2162, 1703, 616, 476, 10170, 2164, 692, 289, 5802, 11762, 3436, 10606, 543, 519, 7089, 3590, 3436, 9255, 1871, 692, 2162, 32693, 5681, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 1432, 568, 519, 2040, 540, 782, 519, 9704, 538, 782, 519, 9981, 689, 835, 547, 835, 2929, 2496, 2162, 1975, 749, 676, 10606, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 4692, 596, 12990, 2338, 585, 519, 5022, 538, 891, 18304, 2496, 2162, 744, 9536, 569, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 8340, 519, 2040, 540, 782, 1614, 18251, 2338, 1142, 540, 4171, 9704, 568, 9642, 780, 2162, 28081, 519, 6226, 1080, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 4692, 596, 6582, 519, 9704, 476, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 267, 278, 267, 279, 267, 280, 883, 1614, 476, 274, 18251, 2338, 971, 602, 741, 2698, 568, 2673, 547, 476, 5611, 271, 2496, 2162, 9861, 12754, 995, 910, 12729, 7089, 692, 7462, 8609, 281, 476, 272, 543, 476, 273, 7420, 5426, 1384, 10831, 2042, 693, 3119, 1377, 602, 2154, 6297, 7156, 780, 2162, 13235, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 1103, 519, 8691, 9819, 267, 930, 540, 519, 9704, 723, 1044, 8719, 676, 5022, 543, 1866, 676, 14531, 529, 802, 269, 2052, 596, 18949, 519, 3312, 8691, 2496, 2162, 13845, 1512, 781, 645, 2158, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 763, 8857, 267, 3627, 13845, 1512, 267, 11827, 891, 17446, 827, 476, 6110, 1296, 3516, 547, 948, 5173, 8691, 543, 6498, 269, 2052, 596, 960, 856, 875, 547, 946, 13845, 1512, 781, 7633, 547, 1265, 519, 2626, 547, 891, 3818, 4124, 2496, 2162, 14520, 1772, 519, 5681, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 1432, 798, 519, 9704, 538, 519, 1297, 19939, 1039, 909, 547, 286, 1215, 1082, 824, 2338, 723, 9704, 609, 519, 1482, 2698, 855, 1100, 21325, 2496, 2162, 4634, 5455, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 13706, 782, 540, 519, 2947, 7857, 2338, 799, 649, 666, 1106, 1210, 1152, 519, 9704, 476, 273, 267, 476, 275, 267, 476, 277, 543, 476, 279, 269, 1403, 891, 2338, 616, 11231, 538, 26799, 1931, 267, 1018, 568, 519, 476, 24423, 628, 1297, 2496, 2162, 14520, 8648, 12866, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 1692, 1082, 3670, 7857, 2338, 616, 972, 799, 11298, 10691, 2270, 513, 476, 276, 2496, 2162, 715, 823, 610, 715, 7360, 585, 5565, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 5278, 10632, 2334, 2904, 2142, 715, 823, 610, 715, 7360, 585, 606, 2937, 543, 1126, 269, 2422, 707, 1702, 540, 1747, 1871, 547, 10726, 707, 18545, 780, 2162, 7066, 17331, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 4692, 596, 5372, 519, 5022, 609, 2338, 286, 1772, 972, 1152, 835, 3070, 538, 1142, 2013, 2496, 2162, 14576, 3883, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 288, 1153, 5152, 1433, 3568, 476, 10384, 8964, 269, 634, 2338, 540, 519, 8964, 616, 10268, 676, 9256, 2027, 1507, 2582, 18251, 12545, 269, 1548, 568, 519, 5934, 1297, 540, 1507, 12545, 602, 568, 2877, 2496, 2162, 2353, 519, 6226, 1080, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 1607, 8691, 3096, 1142, 540, 519, 9704, 476, 271, 910, 476, 280, 2899, 543, 2899, 1152, 269, 4635, 519, 1344, 2016, 267, 666, 596, 5372, 519, 6801, 538, 519, 9819, 609, 5515, 2496, 2162, 634, 23897, 1343, 10794, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 10376, 1126, 538, 4147, 476, 274, 3576, 2185, 2338, 856, 540, 519, 9126, 269, 5808, 1185, 1500, 519, 5207, 1256, 1297, 2496, 7462, 8609, 281, 476, 272, 543, 476, 273, 7420, 5426, 1384, 8005, 1767, 602, 4946, 7948, 1405, 581, 1187, 2496, 2162, 2290, 28985, 547, 18599, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 9359, 676, 8380, 835, 2929, 630, 272, 476, 1822, 476, 1822, 264, 883, 519, 4159, 540, 707, 9498, 269, 2052, 596, 2569, 713, 547, 476, 278, 1210, 1175, 519, 476, 278, 1883, 543, 1039, 267, 10208, 267, 9062, 267, 7941, 543, 11224, 607, 1082, 2053, 607, 596, 899, 2496, 2162, 4144, 21192, 590, 4548, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 1103, 713, 476, 1911, 4009, 267, 1413, 693, 519, 3039, 4009, 799, 3568, 519, 2338, 476, 273, 267, 476, 274, 267, 476, 1321, 543, 476, 1724, 269, 1548, 568, 519, 2040, 540, 519, 2338, 602, 616, 25241, 958, 6587, 1142, 824, 286, 1548, 798, 596, 5469, 2496, 2162, 6904, 1772, 16797, 518, 2496, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 7617, 568, 18334, 267, 10203, 909, 547, 476, 1789, 538, 3283, 610, 10203, 909, 547, 476, 4968, 538, 9937, 286, 4208, 2496, 2162, 9861, 20985, 910, 12729, 7089, 692, 7462, 8609, 281, 476, 272, 543, 476, 273, 7420, 5426, 1384, 10831, 2042, 693, 3119, 1377, 547, 960, 593, 609, 1866, 780, 2162, 10815, 518, 6226, 1080, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 1692, 1082, 2318, 9981, 1447, 982, 610, 3160, 547, 476, 6110, 271, 666, 581, 2854, 1524, 1510, 1210, 519, 9704, 476, 278, 267, 476, 279, 610, 476, 280, 2496, 2162, 18471, 519, 8422, 667, 823, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 1432, 4523, 950, 596, 5180, 891, 1614, 18251, 2338, 547, 519, 14282, 476, 1911, 2496, 2162, 9861, 22990, 1304, 910, 12729, 7089, 692, 7462, 8609, 281, 476, 272, 543, 476, 273, 7420, 5426, 1384, 10831, 2042, 693, 3119, 1377, 602, 949, 2154, 6043, 780, 2162, 23894, 344, 781, 7089, 1773, 3784, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 6826, 1188, 344, 2813, 513, 1297, 726, 3784, 799, 12750, 625, 676, 476, 276, 543, 10208, 338, 476, 275, 269, 1548, 798, 596, 5469, 827, 519, 2338, 602, 621, 7472, 286, 2052, 596, 2491, 707, 4681, 2496, 2162, 3807, 19244, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 13914, 540, 1022, 1614, 18251, 1297, 269, 19244, 519, 9704, 269, 634, 476, 277, 18251, 1297, 602, 596, 1439, 909, 609, 568, 16883, 676, 476, 11011, 269, 1772, 713, 513, 14626, 2064, 2496, 2162, 667, 823, 344, 15051, 585, 5565, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 291, 823, 344, 15051, 585, 606, 2937, 543, 1126, 269, 2052, 596, 1205, 2673, 547, 476, 1911, 271, 982, 707, 7649, 2496, 2162, 595, 599, 2917, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 763, 5022, 538, 519, 1739, 1840, 2040, 2099, 519, 9704, 476, 272, 3267, 476, 280, 269, 1403, 589, 284, 274, 543, 667, 284, 273, 267, 1018, 1297, 568, 6719, 676, 834, 7563, 312, 4041, 312, 257, 2496, 2162, 25092, 11638, 1255, 476, 274, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 5970, 513, 979, 693, 13326, 713, 3830, 269, 2052, 596, 1265, 1114, 2081, 540, 3257, 621, 2496, 2162, 6904, 14644, 338, 2496, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 2467, 616, 3670, 2338, 2854, 538, 2947, 1114, 20072, 269, 2052, 596, 4990, 856, 799, 568, 799, 2496, 2162, 18471, 519, 667, 823, 31353, 476, 272, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 8196, 1079, 18062, 547, 5352, 1079, 2338, 609, 835, 8918, 1747, 269, 1548, 4523, 950, 596, 5180, 891, 2338, 547, 519, 14282, 2898, 1297, 2496, 2162, 18471, 519, 667, 823, 31353, 476, 273, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 1432, 4523, 950, 596, 5180, 891, 2338, 547, 519, 14282, 2898, 1297, 2496, 2162, 9861, 30985, 910, 12729, 7089, 692, 7462, 8609, 281, 476, 272, 543, 476, 273, 7420, 5426, 1384, 10831, 2042, 585, 22679, 3931, 3119, 6267, 780, 2162, 18696, 5295, 692, 7462, 8609, 281, 476, 274, 267, 476, 275, 543, 476, 276, 7420, 5426, 1384, 8794, 13326, 10253, 1018, 568, 519, 2547, 1297, 540, 12035, 2877, 547, 9260, 782, 8870, 13999, 689, 476, 272, 547, 476, 1911, 271, 286, 1773, 5217, 930, 540, 519, 12035, 538, 519, 1482, 3443, 607, 519, 1843, 875, 1082, 616, 2877, 2496, 2162, 595, 10757, 25569, 12384, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 1607, 476, 1911, 4009, 795, 12127, 1177, 568, 2854, 538, 3009, 269, 898, 6238, 609, 476, 272, 543, 7475, 609, 476, 1911, 269, 2052, 596, 1628, 621, 909, 2496, 2162, 25092, 11638, 1255, 476, 273, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 4692, 596, 960, 856, 930, 1114, 2081, 547, 3666, 713, 3830, 2496, 2162, 25092, 11638, 1255, 476, 272, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 4692, 596, 2347, 713, 9819, 676, 11423, 538, 519, 7508, 2338, 286, 769, 875, 1082, 1114, 2081, 666, 596, 798, 621, 2496, 2162, 28024, 13987, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 8649, 5074, 607, 621, 949, 3100, 519, 1614, 535, 1161, 6967, 538, 519, 1739, 2387, 338, 651 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 454, 296, 601, 1206, 1603, 1557, 5439, 7824, 3732, 4081, 4305, 3594, 6512, 2489, 454, 296, 601, 1206, 1603, 4305, 3732, 3594, 7824, 2489, 2866, 1557, 3898, 454, 296, 601, 1206, 1603, 4305, 3732, 3594, 7824, 6512, 1557, 5439, 2489, 2866, 454, 296, 601, 1206, 12591, 25669, 5439, 7824, 4305, 7663, 20439, 904, 3898, 454, 5575, 16512, 3594, 12732, 2230, 267, 942, 543, 1641, 281, 519, 2749, 29746, 267, 606, 30442, 6177, 267, 610, 513, 11442, 689, 519, 476, 2568, 338, 734, 718, 5396, 540, 3594, 594, 319, 557, 3370, 734, 732, 1175, 835, 695, 28984, 540, 606, 11995, 16064, 540, 8903, 4798, 269, 15216, 7758, 2603, 610, 711, 267, 621, 26141, 2760, 519, 1641, 540, 606, 1557, 602, 6645, 267, 855, 519, 2511, 543, 18879, 540, 922, 2278, 734, 6343, 1522, 3100, 519, 2547, 2693, 540, 1557, 5396, 666, 581, 1500, 513, 533, 1172, 656, 2985, 2389, 1248, 518, 676, 513, 5856, 26141, 10888, 1688, 269, 1284, 319, 961, 1413, 1934, 693, 7446, 519, 1888, 267, 1793, 656, 543, 5639, 540, 707, 1557, 267, 14335, 513, 1291, 267, 2679, 606, 1557, 26141, 11733, 543, 24386, 513, 24362, 693, 1557, 26141, 1439, 563, 7312, 1557, 1590, 723, 2178, 5072, 267, 543, 1489, 835, 2427, 540, 519, 4661, 269, 1656, 1383, 540, 713, 1131, 581, 952, 596, 616, 1603, 707, 1557, 827, 11776, 4031, 267, 596, 1522, 8774, 513, 1769, 593, 519, 1514, 2152, 602, 616, 3238, 7282, 10363, 11776, 269, 1656, 1018, 23434, 4892, 3068, 1813, 547, 519, 11566, 2551, 540, 10363, 30659, 269, 634, 5013, 602, 616, 3769, 538, 519, 12819, 1557, 1590, 9305, 2047, 547, 519, 6249, 540, 707, 1557, 269, 1684, 711, 535, 1023, 1518, 610, 21179, 622, 1022, 5013, 602, 1489, 610, 28586, 707, 1448, 540, 2070, 282, 713, 666, 581, 22801, 547, 519, 5467, 543, 723, 606, 8801, 1860, 593, 519, 2298, 540, 707, 1557, 269, 4634, 1498, 596, 1557, 949, 2270, 1360, 1434, 1344, 267, 835, 7301, 4062, 540, 1344, 666, 25010, 707, 3003, 1557, 269, 1411, 666, 3403, 2093, 883, 707, 1557, 267, 855, 581, 2386, 789, 616, 538, 1463, 6935, 547, 519, 5013, 602, 596, 723, 2907, 3177, 538, 519, 1557, 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 ]
[ 519, 8728, 540, 741, 1871, 585, 519, 1554, 3562, 6377, 1272, 540, 1034, 2021, 7168, 3533, 269, 1306, 835, 540, 713, 1592, 781, 12286, 4589, 267, 6307, 14732, 2605, 3471, 267, 3081, 912, 1862, 19009, 2367, 723, 2760, 1044, 519, 3119, 9072, 540, 10795, 6760, 267, 543, 2943, 621, 568, 741, 4690, 543, 741, 2070, 540, 519, 1158, 602, 1631, 2531, 7149, 711, 1152, 519, 1850, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 11749, 1132, 15369, 12389, 257, 607, 851, 540, 834, 306, 23852, 29803, 1315, 9608, 12618, 1315, 4937, 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, 1576, 1770, 267, 649, 5490, 883, 519, 1950, 2078, 1063, 5198, 267, 1362, 267, 543, 4074, 1369, 519, 2796, 540, 2518, 3109, 2090, 269, 1284, 786, 2263, 875, 891, 1514, 21437, 12969, 543, 3337, 519, 2833, 540, 3109, 1004, 1472, 519, 1158, 267, 3226, 538, 6935, 547, 2825, 2152, 543, 4199, 3892, 269, 3414, 606, 6514, 540, 3140, 543, 4207, 2665, 267, 649, 2832, 547, 1174, 519, 2081, 538, 799, 11528, 15746, 814, 8329, 547, 5571, 13103, 543, 2591, 5185, 676, 3109, 2950, 780, 296, 269, 17813, 543, 7025, 32641, 454, 29432, 20245, 10168, 4016, 547, 519, 19018, 622, 4598, 540, 7292, 18441, 547, 5533, 267, 6757, 3653, 267, 543, 824, 13818, 6878, 269, 901, 7613, 666, 581, 14360, 1394, 547, 19525, 543, 8474, 267, 1141, 2067, 2200, 941, 13939, 689, 32519, 3338, 543, 16487, 547, 2342, 267, 30740, 22713, 1247, 6028, 3297, 10969, 730, 8134, 543, 12790, 5095, 780, 288, 269, 8466, 24306, 540, 7025, 32641, 692, 763, 1098, 520, 23007, 10553, 4123, 5129, 513, 1713, 1909, 538, 5935, 2038, 2825, 10168, 269, 3416, 331, 8491, 20338, 941, 7142, 547, 960, 593, 24914, 602, 16941, 8185, 593, 1395, 665, 11857, 8105, 2853, 267, 3056, 547, 3037, 12159, 543, 17717, 269, 5047, 267, 1671, 5055, 951, 1419, 6098, 2127, 609, 10731, 2067, 2200, 585, 741, 4238, 267, 2417, 12615, 908, 8733, 3441, 780, 289, 269, 12634, 6201, 540, 7025, 32641, 692, 9213, 267, 2825, 10168, 5170, 547, 1860, 3109, 2950, 5001, 269, 1280, 3236, 267, 538, 519, 2136, 2276, 267, 3979, 1977, 16973, 616, 811, 2693, 982, 3043, 3283, 547, 581, 4092, 2282, 6757, 3653, 4609, 543, 3542, 5024, 6080, 269, 6684, 267, 538, 13280, 781, 20997, 18647, 3148, 267, 3282, 10868, 2238, 723, 3366, 547, 7839, 12526, 540, 1216, 2959, 267, 7133, 2199, 10068, 2950, 945, 4096, 593, 873, 585, 6668, 780, 2862, 269, 4147, 543, 9483, 4112, 334, 2787, 454, 5785, 14945, 12218, 25327, 1404, 513, 2629, 1909, 538, 31328, 2804, 14226, 267, 3226, 1851, 3109, 4600, 269, 3590, 545, 7496, 2061, 1082, 3109, 2043, 689, 17034, 2298, 2069, 267, 2713, 13230, 6009, 267, 543, 16057, 10688, 3255, 267, 4611, 538, 10770, 5763, 10616, 1063, 14797, 780, 288, 269, 3955, 23400, 32100, 717, 2355, 692, 2171, 953, 8635, 568, 513, 1883, 3815, 7700, 547, 1362, 15523, 1369, 3109, 2950, 269, 5494, 3234, 22922, 4507, 899, 2699, 23164, 543, 17478, 723, 13840, 3908, 1753, 1144, 11429, 3255, 585, 17051, 267, 1818, 621, 2352, 585, 3885, 547, 18645, 1252, 1049, 5763, 998, 3959, 9562, 269, 5015, 267, 2816, 7130, 814, 11658, 1569, 547, 1164, 1790, 11691, 7158, 267, 31328, 9979, 540, 6710, 780, 289, 269, 7073, 22553, 540, 9483, 11534, 1833, 692, 28757, 3029, 540, 2804, 14226, 1331, 4418, 1846, 7749, 4074, 267, 3348, 13895, 7694, 12417, 267, 543, 13016, 5823, 960, 269, 1452, 2175, 4734, 3109, 4600, 7925, 547, 6057, 543, 2709, 2370, 4027, 1996, 15490, 13848, 610, 22247, 2324, 2175, 780, 7656, 269, 8534, 28073, 543, 18650, 454, 5785, 21387, 9961, 1686, 267, 3109, 4600, 723, 6896, 15217, 547, 4161, 1949, 540, 15746, 543, 3747, 1732, 2126, 269, 3245, 9769, 1944, 3646, 1282, 519, 11633, 7169, 547, 2413, 6377, 19191, 5322, 267, 4074, 12180, 3788, 513, 2565, 1907, 585, 14027, 9698, 543, 5126, 780, 288, 269, 7216, 8534, 5029, 9088, 543, 1133, 687, 692, 7628, 519, 3735, 13524, 2540, 267, 3109, 4600, 3459, 8108, 18787, 547, 12167, 585, 4824, 2324, 2175, 543, 3655, 790, 337, 13180, 269, 8871, 5799, 3906, 3769, 519, 2051, 1819, 2817, 8534, 5742, 630, 290, 301, 299, 308, 1070, 8547, 538, 476, 5908, 280, 267, 543, 519, 19656, 3125, 540, 12619, 532, 2961, 623, 13024, 267, 3964, 538, 476, 4572, 276, 269, 5637, 2516, 8179, 17604, 2066, 7292, 3515, 1247, 8165, 1996, 25641, 2853, 780, 289, 269, 10558, 28233, 2920, 13659, 543, 31197, 692, 17457, 6377, 4074, 5322, 3136, 547, 2232, 10296, 4145, 6849, 3109, 4600, 267, 1519, 4747, 8635, 267, 7128, 30468, 267, 543, 2916, 1689, 269, 22411, 338, 971, 607, 1948, 14937, 299, 1161, 300, 2660, 543, 519, 674, 697, 585, 1269, 1428, 5031, 519, 991, 585, 10167, 531, 4485, 602, 2015, 1312, 5198, 543, 1362, 950, 5466, 11528, 31716, 780, 3528, 6313, 519, 6946, 4296, 1063, 5198, 267, 1362, 267, 543, 4074, 1369, 2518, 3109, 2090, 267, 649, 2744, 3407, 4030, 883, 519, 5571, 9620, 5185, 676, 12790, 2950, 269, 1306, 12403, 1841, 540, 938, 4541, 267, 621, 568, 1898, 602, 649, 5431, 891, 3095, 1137, 543, 960, 2509, 12581, 3435, 602, 3895, 6940, 543, 1514, 5126, 585, 782, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 19640, 9604, 4562, 27468, 2887, 719, 476, 275, 454, 1103, 799, 540, 519, 1739, 2829, 568, 936, 6588, 4506, 3743, 585, 2244, 12159, 286, 14606, 11761, 281, 4208, 15417, 3618, 568, 1373, 28811, 543, 4503, 634, 19300, 4673, 9390, 568, 519, 29224, 543, 519, 1158, 779, 4102, 9390, 269, 8092, 12159, 3123, 513, 7771, 538, 2244, 7607, 543, 568, 4061, 2693, 547, 1291, 547, 2799, 2157, 540, 6710, 269, 634, 13482, 3294, 729, 513, 3210, 547, 513, 1289, 693, 519, 6167, 3047, 27169, 514, 21586, 632, 13191, 10098, 538, 476, 1960, 273, 547, 3180, 16395, 585, 606, 3486, 3656, 6876, 593, 9390, 2305, 269, 634, 4139, 17912, 16635, 13886, 2048, 5327, 1068, 715, 2074, 910, 24079, 689, 519, 19164, 685, 538, 7507, 538, 5412, 476, 1220, 277, 568, 606, 1383, 540, 835, 971, 4656, 1700, 24597, 11036, 269, 634, 12019, 17897, 281, 634, 4411, 17897, 16569, 689, 5412, 547, 5988, 269, 8382, 281, 2422, 519, 1657, 4491, 3660, 19436, 14330, 304, 5999, 585, 4147, 476, 278, 17323, 3848, 476, 1015, 5020, 538, 519, 19164, 338, 609, 12226, 21584, 1863, 4647, 543, 1205, 513, 1434, 17945, 593, 519, 17950, 540, 1483, 2338, 1888, 269, 630, 328, 264, 1703, 568, 1085, 656, 344, 10664, 538, 519, 964, 324, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 305, 864, 267, 4147, 267, 543, 8534, 257, 607, 851, 540, 834, 24719, 13316, 1315, 4563, 5525, 630, 17471, 29215, 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, 769, 2221, 781, 2442, 2528, 267, 4683, 14810, 543, 31510, 5436, 9814, 9089, 10023, 16750, 7068, 971, 607, 941, 342, 11510, 543, 6442, 1562, 723, 6591, 1713, 20086, 1851, 1312, 2937, 543, 1762, 9458, 269, 901, 10006, 538, 1719, 814, 8507, 538, 513, 3395, 1560, 540, 3332, 6322, 693, 11174, 3988, 945, 3343, 13858, 9035, 29689, 609, 9589, 2609, 543, 1950, 3197, 269, 634, 8574, 1657, 8711, 519, 9620, 5185, 676, 4589, 2324, 1369, 891, 11964, 267, 3226, 1346, 1603, 827, 941, 342, 11510, 543, 6442, 1562, 269, 1284, 786, 5490, 883, 713, 9159, 5339, 5251, 543, 2263, 922, 14960, 998, 1585, 14485, 267, 1519, 3140, 2796, 267, 9423, 2553, 267, 1915, 1646, 267, 4798, 267, 543, 24848, 637, 269, 1635, 2502, 609, 891, 3344, 267, 1053, 666, 3986, 741, 7071, 585, 519, 23477, 2838, 547, 1711, 8903, 6386, 10704, 593, 941, 342, 6504, 543, 5546, 327, 14823, 23233, 780, 23208, 12745, 912, 763, 8129, 540, 2984, 5473, 3425, 13321, 883, 2831, 4266, 1394, 5215, 540, 1296, 2066, 3875, 4529, 269, 9147, 5259, 13299, 2934, 8941, 540, 2043, 23009, 3151, 883, 581, 6814, 1813, 547, 1225, 4513, 610, 10143, 6304, 269, 6684, 267, 7111, 1977, 18691, 3568, 3638, 6386, 827, 3337, 6879, 14823, 9988, 543, 519, 6929, 6605, 545, 7919, 630, 327, 2788, 25993, 267, 3368, 15515, 770, 1040, 1452, 13654, 2984, 9788, 519, 24536, 585, 2413, 12496, 540, 11430, 4754, 6605, 344, 1107, 519, 2702, 547, 10641, 1063, 1480, 543, 18896, 1106, 1107, 799, 3029, 519, 4493, 540, 4207, 941, 342, 6504, 5708, 269, 4197, 519, 3140, 5072, 540, 891, 17691, 2636, 1053, 547, 5660, 875, 3504, 4978, 3136, 547, 3310, 4207, 3332, 543, 1683, 6667, 585, 5499, 14624, 780, 1805, 800, 8346, 9828, 912, 19931, 9423, 12346, 8185, 593, 533, 5217, 267, 8082, 267, 543, 5790, 269, 19536, 5665, 1369, 519, 7706, 540, 941, 342, 11510, 543, 6442, 1562, 1590, 3666, 27217, 4948, 2833, 609, 9058, 8090, 540, 7004, 269, 1677, 3035, 713, 11466, 267, 789, 1419, 2308, 1808, 2994, 912, 272, 269, 19573, 531, 13414, 281, 20405, 569, 13031, 1344, 827, 519, 1292, 1915, 781, 5759, 8952, 3988, 7722, 543, 11235, 547, 3605, 811, 269, 901, 4480, 849, 2337, 3715, 3929, 4296, 1063, 3988, 543, 3197, 607, 789, 6330, 3838, 2591, 2404, 609, 10703, 2718, 741, 3020, 9163, 563, 273, 269, 17553, 281, 26787, 11626, 5468, 8309, 3648, 547, 2679, 21599, 543, 5807, 1825, 341, 1464, 269, 1280, 3236, 267, 2870, 513, 1507, 4884, 1141, 9490, 20825, 4755, 4749, 8591, 6106, 540, 6988, 1247, 4509, 606, 2011, 540, 9658, 1097, 4478, 519, 3844, 9814, 563, 274, 269, 18366, 281, 28038, 4835, 543, 5007, 7526, 4412, 1564, 519, 4729, 4464, 543, 7512, 1915, 2208, 269, 5871, 2959, 540, 4655, 1331, 6848, 6788, 267, 11509, 1303, 4120, 906, 267, 22686, 13800, 267, 543, 2123, 21140, 16109, 689, 12242, 562, 2137, 630, 324, 3052, 1421, 13326, 8103, 609, 1655, 658, 26756, 1916, 275, 269, 2622, 20761, 281, 20472, 532, 20310, 10600, 3340, 3007, 547, 1469, 543, 25843, 269, 3117, 626, 1836, 7311, 3652, 12044, 16750, 9259, 5849, 9266, 11144, 543, 10597, 5467, 6278, 780, 23322, 4886, 912, 17730, 1134, 25454, 3197, 19329, 3695, 741, 18144, 267, 13821, 267, 12194, 267, 3347, 267, 543, 20924, 269, 10738, 519, 5943, 540, 941, 342, 11510, 543, 6442, 1562, 267, 1896, 1883, 9270, 10836, 912, 272, 269, 26306, 281, 24167, 519, 6381, 896, 799, 3197, 6521, 2488, 5813, 883, 741, 5626, 2829, 543, 5837, 735, 13293, 269, 3657, 14759, 15427, 1594, 2863, 3320, 1282, 2407, 24262, 267, 610, 798, 3197, 4865, 2347, 1852, 286, 1215, 1281, 13346, 1764, 741, 2631, 540, 1582, 543, 4276, 547, 1866, 888, 273, 269, 5274, 640, 5288, 269, 28458, 17349, 281, 21344, 1480, 324, 7907, 1996, 2392, 2218, 21274, 5932, 3255, 585, 26126, 543, 5683, 844, 663, 2456, 269, 15766, 908, 713, 27524, 30315, 12651, 2055, 3823, 13919, 267, 6568, 267, 8296, 267, 543, 14699, 563, 274, 269, 17716, 281, 10289, 14375, 6384, 3091, 3407, 4030, 883, 3197, 262, 2418, 267, 14422, 267, 543, 16426, 269, 5548, 1324, 883, 1920, 13218, 267, 17052, 267, 15180, 1845, 267, 543, 32741, 8761, 13857, 28402, 540, 14017, 267, 3972, 267, 20729, 531, 267, 543, 2648, 563, 275, 269, 9608, 2208, 281, 28304, 14488, 11479, 1915, 4720, 543, 19156, 519, 2956, 540, 6043, 267, 8990, 267, 543, 9542, 269, 1306, 3197, 13720, 9465, 543, 11457, 267, 789, 1831, 811, 11541, 543, 12300, 780, 763, 6996, 912, 31413, 6720, 553, 625, 543, 31510, 5436, 13655, 1419, 10994, 8471, 4798, 899, 3961, 5250, 267, 10343, 267, 1379, 6384, 267, 543, 4947, 6361, 21943, 15322, 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 ]
[ 2839, 16776, 267, 2015, 519, 1739, 2188, 912, 268, 7358, 1049, 16186, 20126, 281, 7994, 3742, 16776, 585, 1279, 24365, 9477, 543, 12809, 16776, 585, 2673, 24365, 3156, 563, 268, 20907, 4790, 571, 6493, 281, 10426, 633, 16776, 616, 811, 6578, 7888, 267, 2523, 585, 1804, 8397, 11766, 906, 563, 268, 4578, 21976, 281, 1403, 707, 3498, 3340, 1164, 1239, 4859, 610, 1483, 6066, 9477, 267, 3742, 16776, 616, 811, 5078, 563, 268, 20904, 543, 31701, 14423, 281, 6333, 519, 5826, 2838, 585, 3742, 16776, 543, 519, 5266, 5826, 6954, 2470, 540, 12809, 16776, 563, 4692, 3742, 16674, 2839, 16776, 5968, 609, 12809, 16674, 2839, 16776, 888, 5591, 267, 3742, 543, 12809, 16674, 2839, 16776, 798, 711, 5968, 609, 1142, 824, 269, 15765, 16776, 5968, 609, 16674, 2839, 3988, 1210, 741, 1378, 1379, 2707, 267, 1247, 12809, 16776, 7048, 593, 519, 5467, 779, 5365, 585, 11852, 269, 634, 2792, 568, 2141, 1063, 519, 11090, 630, 5562, 610, 12809, 264, 543, 519, 5467, 563, 6701, 3742, 16674, 2839, 16776, 4299, 676, 2825, 2175, 899, 2837, 543, 11195, 888, 8133, 267, 3742, 16674, 2839, 16776, 666, 581, 4299, 676, 3665, 2825, 2175, 269, 4400, 5210, 543, 11195, 666, 1764, 519, 6007, 1272, 543, 2949, 10342, 540, 3742, 16776, 269, 898, 779, 1271, 547, 2015, 519, 5665, 1604, 950, 8939, 16674, 2839, 16776, 585, 1808, 3156, 563, 4692, 12809, 16674, 2839, 16776, 581, 1065, 5766, 1090, 4364, 610, 32419, 888, 8133, 267, 1082, 12809, 16674, 2839, 16776, 616, 1065, 5766, 1090, 30154, 543, 666, 581, 32419, 269, 634, 2702, 547, 1065, 5766, 1090, 513, 11090, 5673, 593, 922, 1374, 543, 519, 2029, 621, 3096, 269, 901, 4183, 568, 3226, 3730, 538, 7653, 1141, 11090, 1344, 2115, 547, 581, 8242, 610, 4957, 5781, 563, 2710, 3742, 16674, 2839, 16776, 10460, 1022, 1072, 610, 3106, 4220, 1813, 547, 741, 9075, 888, 763, 9075, 538, 3742, 16674, 2839, 16776, 616, 3622, 2922, 543, 10460, 8766, 1072, 610, 3106, 4220, 896, 3339, 6165, 2175, 269, 1717, 267, 8741, 532, 540, 891, 9075, 3340, 1697, 5773, 547, 2057, 2825, 2800, 269, 11408, 1246, 519, 10672, 779, 4808, 585, 12871, 563, 3674, 621, 2009, 547, 2333, 519, 2039, 540, 12809, 16674, 2839, 16776, 888, 763, 2039, 540, 12809, 16674, 2839, 16776, 666, 581, 2799, 676, 1210, 811, 3532, 3988, 610, 676, 17306, 519, 11090, 779, 19215, 1374, 269, 1717, 267, 519, 2039, 568, 1869, 3335, 1447, 982, 602, 540, 3742, 16674, 2839, 16776, 269, 634, 4890, 2333, 538, 2039, 5673, 593, 1896, 2188, 267, 1519, 519, 4908, 540, 519, 16674, 2839, 1062, 543, 2825, 2175, 563, 4692, 3742, 16674, 2839, 16776, 581, 1031, 547, 3950, 1004, 585, 3354, 5301, 888, 8133, 267, 789, 666, 581, 1031, 585, 9477, 1004, 538, 1978, 3354, 3156, 267, 971, 607, 538, 1164, 5498, 2579, 6703, 610, 585, 3461, 9477, 538, 10506, 269, 1717, 267, 519, 946, 540, 16674, 2839, 2029, 585, 9477, 2043, 12651, 7834, 4145, 543, 1058, 581, 14059, 609, 6297, 7156, 540, 5683, 543, 3656, 6286, 563, 763, 3903, 1063, 3742, 543, 12809, 16674, 2839, 16776, 5673, 7361, 593, 1808, 2115, 543, 8658, 269, 15765, 16776, 267, 609, 741, 3476, 2039, 543, 2362, 1239, 4390, 267, 616, 5078, 585, 7653, 8506, 1483, 6066, 9477, 936, 3677, 2127, 563, 1103, 4334, 267, 12809, 16776, 616, 811, 6578, 7888, 543, 4998, 585, 2673, 24365, 3156, 899, 11891, 2359, 269, 1635, 5402, 6236, 891, 2188, 267, 596, 666, 10244, 519, 2407, 1761, 540, 16674, 2839, 2029, 547, 3986, 4398, 543, 6111, 538, 707, 4238, 269, 0, 2252, 596, 4076, 2479, 9289, 875, 547, 6707, 1332, 543, 1416, 585, 536, 976, 2967, 4054, 13964, 267, 596, 4076, 2097, 547, 519, 1318, 1747, 269, 769, 713, 2376, 267, 649, 786, 2263, 519, 1898, 4388, 543, 2553, 602, 786, 948, 596, 2490, 707, 9205, 2230, 883, 513, 25113, 585, 891, 15999, 20538, 4054, 269, 3245, 7446, 519, 1318, 4087, 547, 3246, 519, 4998, 2175, 585, 2208, 267, 649, 3580, 3391, 596, 1900, 676, 1900, 593, 707, 3460, 547, 4742, 513, 9952, 536, 976, 2967, 32529, 269, 1924, 267, 10544, 707, 12202, 2645, 543, 1205, 4712, 547, 7832, 593, 713, 14785, 543, 16180, 7045, 2336, 24400, 519, 9406, 645, 976, 2967, 10326, 454, 2691, 621, 2501, 547, 7446, 519, 1318, 536, 976, 2967, 3529, 267, 972, 616, 1896, 2188, 547, 2015, 269, 3689, 543, 19466, 267, 596, 991, 547, 1382, 1114, 536, 976, 2967, 8677, 269, 1703, 616, 9118, 3681, 2139, 267, 543, 1142, 3099, 814, 922, 1378, 2189, 4162, 269, 6875, 519, 942, 547, 2263, 1114, 2249, 543, 741, 1808, 1416, 4170, 547, 1265, 519, 835, 602, 17015, 707, 7375, 543, 12202, 5759, 563, 5194, 2629, 2460, 547, 2015, 568, 2916, 17356, 269, 645, 976, 2967, 4054, 723, 1808, 2837, 543, 11195, 4170, 267, 865, 621, 779, 1898, 547, 2824, 513, 3529, 2249, 602, 666, 8853, 538, 707, 2916, 269, 2368, 536, 976, 2967, 8677, 616, 1732, 14018, 585, 3636, 543, 18519, 5054, 267, 1247, 1866, 666, 20496, 21617, 5210, 269, 4197, 707, 2199, 2916, 786, 948, 2327, 519, 15325, 543, 1072, 540, 707, 536, 976, 2967, 3529, 563, 15563, 267, 596, 991, 547, 6218, 875, 519, 12119, 2242, 538, 707, 1858, 1522, 1764, 707, 536, 976, 2967, 3529, 269, 2368, 2249, 616, 811, 22537, 547, 12119, 2242, 267, 1247, 1866, 949, 2154, 811, 1416, 543, 3007, 1282, 1978, 12405, 269, 6333, 519, 15088, 538, 2837, 267, 7943, 267, 543, 11811, 2429, 519, 1032, 1354, 1818, 707, 3803, 3375, 563, 15675, 532, 519, 26758, 19715, 454, 5629, 596, 723, 6074, 519, 1318, 536, 976, 2967, 3529, 267, 621, 779, 942, 547, 1265, 519, 3501, 5544, 585, 621, 538, 707, 9205, 2230, 269, 634, 4087, 596, 2824, 786, 3648, 1764, 519, 1072, 543, 1646, 540, 707, 536, 976, 2967, 563, 20058, 267, 2015, 519, 7943, 4170, 540, 707, 536, 976, 2967, 3529, 269, 4107, 2249, 2154, 513, 1434, 2179, 540, 7943, 269, 1717, 267, 930, 8677, 1522, 4782, 9864, 12094, 267, 2523, 952, 596, 2661, 538, 513, 3905, 2916, 269, 3550, 602, 519, 6074, 4087, 11392, 519, 3617, 2179, 540, 7943, 585, 707, 1808, 536, 976, 2967, 2249, 563, 28406, 532, 707, 536, 976, 2967, 3529, 689, 3665, 4365, 2175, 568, 849, 2629, 269, 670, 6702, 12798, 267, 15470, 267, 610, 1085, 528, 4221, 3002, 666, 3441, 610, 1256, 6146, 707, 10475, 536, 976, 2967, 269, 4855, 513, 4087, 602, 3091, 930, 2067, 4027, 689, 971, 26037, 267, 971, 607, 11093, 707, 3529, 2282, 513, 3774, 610, 896, 519, 12094, 540, 513, 3677, 2030, 610, 2497, 563, 1103, 1840, 547, 7943, 543, 4365, 4027, 267, 2842, 4598, 568, 1776, 3815, 547, 2015, 269, 16200, 12798, 666, 3362, 3819, 856, 707, 536, 976, 2967, 3529, 610, 2014, 621, 547, 547, 653, 548, 936, 269, 19024, 707, 536, 976, 2967, 538, 513, 4087, 602, 2488, 930, 2067, 2842, 19874, 267, 971, 607, 513, 20545, 610, 513, 1899, 540, 26965, 269, 901, 786, 948, 13104, 707, 3529, 689, 7050, 2842, 543, 2226, 922, 1072, 543, 6617, 563, 1607, 3239, 568, 3959, 540, 2592, 269, 12584, 680, 1662, 2593, 563, 27609, 532, 519, 14606, 454, 6524, 29238, 707, 536, 976, 2967, 3529, 267, 596, 991, 547, 5265, 5965, 519, 3037, 269, 645, 976, 2967, 3037, 5888, 568, 2629, 585, 519, 2635, 2208, 543, 1646, 540, 519, 3529, 269, 4197, 519, 1697, 3037, 5888, 786, 1450, 596, 547, 1683, 519, 2556, 5567, 267, 12775, 267, 543, 513, 3130, 585, 707, 536, 976, 2967, 563, 4407, 972, 616, 840, 2173, 12089, 536, 976, 2967, 11934, 2139, 538, 519, 2344, 267, 1082, 4810, 536, 976, 2967, 12439, 3442, 547, 3575, 741, 1378, 3037, 269, 17186, 532, 707, 1378, 536, 976, 2967, 3037, 3947, 596, 811, 1852, 936, 922, 5888, 543, 2636, 596, 547, 20688, 621, 547, 519, 1808, 2115, 540, 707, 3529, 269, 634, 4998, 536, 976, 2967, 3037, 568, 1134, 1673, 20995, 855, 25601, 2614, 7509, 585, 519, 5072, 547, 10110, 563, 2252, 596, 4782, 13418, 610, 616, 1007, 547, 536, 976, 2967, 1416, 267, 1210, 840, 2173, 12089, 536, 976, 2967, 3037, 666, 581, 513, 1390, 4781, 269, 1452, 840, 2173, 12089, 11934, 616, 4481, 19775, 547, 2743, 519, 4170, 540, 536, 976, 2967, 4054, 543, 1419, 2270, 5214, 2339, 267, 971, 607, 24435, 21263, 610, 11003, 267, 547, 1683, 1898, 5567, 563, 22025, 1154, 543, 3115, 31857, 454, 24400, 519, 1318, 536, 976, 2967, 1494, 568, 711, 1175, 827, 15312, 282, 621, 849, 4249, 513, 4105, 1909, 538, 519, 2949, 1072, 543, 2208, 540, 707, 3529, 269, 589, 536, 976, 2967, 1494, 1058, 581, 14013, 21092, 267, 1683, 5140, 12775, 267, 543, 1450, 6190, 4055, 585, 519, 3529, 779, 5072, 547, 1332, 269, 6333, 519, 2450, 543, 2085, 540, 707, 536, 976, 2967, 3529, 950, 8939, 513, 1494, 267, 607, 1114, 8677, 2154, 8795, 1494, 7306, 563, 19187, 29238, 2553, 616, 2629, 585, 519, 1134, 5630, 540, 707, 536, 976, 2967, 3529, 269, 3399, 676, 8720, 519, 12775, 9475, 609, 17450, 610, 513, 1507, 4062, 540, 9584, 547, 2061, 3037, 689, 29400, 269, 8921, 267, 1039, 513, 4494, 540, 536, 976, 2967, 3037, 547, 519, 5377, 540, 519, 1494, 1354, 5402, 17568, 519, 3529, 779, 5072, 593, 1283, 269, 19130, 519, 6967, 2230, 609, 519, 3037, 267, 4180, 602, 972, 616, 1100, 2011, 22836, 563, 11847, 31857, 568, 606, 1898, 2460, 540, 536, 976, 2967, 1416, 269, 1306, 707, 536, 976, 2967, 3529, 9428, 267, 922, 5072, 786, 2154, 811, 4055, 547, 4228, 269, 3115, 31857, 2636, 596, 547, 32566, 519, 5072, 267, 29295, 519, 3037, 267, 543, 3895, 2635, 2208, 269, 634, 4908, 540, 1065, 31857, 5673, 593, 519, 2249, 543, 519, 2208, 2557, 540, 707, 3529, 269, 13575, 267, 1065, 31857, 1169, 1079, 547, 2947, 1296, 568, 5227, 563, 12850, 532, 543, 9966, 7190, 454, 19187, 14450, 568, 2629, 585, 519, 1072, 543, 21755, 540, 707, 536, 976, 2967, 3529, 269, 4197, 707, 536, 976, 2967, 779, 14450, 2115, 568, 1898, 547, 2061, 1312, 896, 543, 936, 21226, 532, 563, 289, 976, 2967, 4054, 723, 1808, 1216, 4170, 267, 543, 789, 949, 4268, 4470, 593, 519, 2249, 267, 2450, 540, 519, 3529, 267, 543, 2916, 269, 2368, 536, 976, 2967, 4054, 4782, 513, 9793, 2179, 540, 1216, 267, 1247, 1866, 2154, 811, 7928, 14450, 269, 3194, 532, 707, 1808, 536, 976, 2967, 3099, 786, 948, 596, 3313, 519, 4998, 14450, 8430, 563, 31535, 950, 547, 1216, 707, 536, 976, 2967, 568, 8449, 1271, 269, 5502, 540, 23578, 547, 513, 14461, 8430, 267, 621, 779, 1655, 547, 7048, 593, 519, 7509, 1377, 540, 519, 3037, 269, 25529, 707, 9416, 827, 606, 10759, 883, 519, 3037, 267, 543, 952, 621, 7959, 3819, 267, 621, 779, 942, 547, 1216, 519, 3529, 269, 2201, 519, 824, 1688, 267, 952, 519, 3037, 7959, 9846, 5848, 267, 3180, 1055, 593, 14450, 547, 2057, 936, 1606, 4405, 566, 563, 31010, 6099, 11195, 2157, 1472, 707, 536, 976, 2967, 568, 849, 1898, 269, 645, 976, 2967, 4054, 8853, 538, 606, 1604, 609, 9793, 11195, 269, 1411, 666, 2333, 11195, 1472, 707, 536, 976, 2967, 676, 5134, 532, 621, 609, 1216, 3232, 610, 11093, 513, 26745, 540, 1216, 2282, 519, 3529, 547, 1683, 930, 7509, 547, 519, 2011, 563, 293, 23459, 1944, 543, 715, 19153, 454, 19187, 6484, 568, 1883, 547, 519, 2635, 2208, 543, 1646, 540, 707, 536, 976, 2967, 3529, 269, 645, 976, 2967, 4054, 1332, 538, 1507, 17428, 543, 616, 711, 6534, 547, 513, 5318, 2179, 540, 3037, 269, 4475, 267, 621, 779, 2629, 547, 1683, 873, 609, 519, 2556, 5567, 998, 1697, 22289, 563, 24400, 519, 1318, 536, 976, 2967, 13226, 568, 2629, 585, 519, 2949, 1072, 540, 707, 3529, 269, 645, 976, 2967, 18168, 616, 4481, 19775, 547, 2743, 519, 8770, 4170, 540, 891, 20538, 4054, 269, 6733, 585, 513, 7059, 13226, 602, 3568, 1898, 2609, 971, 607, 9436, 630, 301, 1070, 16903, 630, 303, 1070, 543, 11379, 630, 298, 1040, 1452, 5567, 3895, 2635, 2208, 543, 2087, 519, 3529, 779, 2949, 6043, 563, 763, 4908, 543, 12557, 540, 22289, 4096, 593, 519, 1808, 536, 976, 2967, 2249, 543, 519, 1826, 540, 13226, 596, 616, 1210, 269, 13575, 267, 8023, 707, 536, 976, 2967, 609, 513, 29809, 13226, 2899, 1169, 1079, 547, 2185, 4374, 1282, 519, 3395, 4005, 568, 5227, 269, 1717, 267, 621, 779, 1898, 547, 1246, 519, 5528, 593, 519, 13226, 11183, 543, 4188, 519, 4908, 2687, 547, 519, 1808 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3724, 547, 1153, 1101, 3446, 3211, 9236, 13212, 476, 273, 7857, 2338, 543, 476, 274, 563, 867, 1359, 476, 275, 7857, 2338, 4928, 11580, 9236, 476, 273, 3211, 543, 563, 16451, 3211, 5399, 4647, 543, 1820, 593, 9236, 476, 273, 7857, 2338, 476, 274, 563, 1260, 1706, 532, 543, 19280, 476, 275, 7857, 2338, 3211, 10203, 476, 274, 476, 273, 476, 272, 560, 3446, 563, 1260, 1706, 532, 1614, 7857, 2338, 4976, 2534, 6656, 3014, 476, 273, 3211, 543, 476, 274, 563, 14079, 476, 275, 2979, 3211, 9236, 2338, 4647, 873, 543, 2119, 547, 476, 273, 7857, 19280, 563, 1260, 1706, 532, 1079, 7857, 2338, 5162, 4976, 476, 273, 3211, 543, 19280, 563, 1260, 1706, 532, 476, 274, 7857, 2338, 3211, 476, 273, 1079, 1101, 3446, 563, 1260, 1706, 532, 1079, 7857, 2338, 1101, 3446, 3211, 476, 273, 543, 19280, 563, 14079, 476, 274, 13004, 3211, 476, 276, 7857, 2338, 9236, 476, 273, 543, 563, 6420, 2979, 17142, 1863, 29560, 609, 7508, 1039, 1742, 811, 543, 1447, 476, 274, 9236, 476, 273, 7857, 2338, 3211, 563, 14079, 476, 274, 13004, 3211, 476, 275, 7857, 2338, 6476, 540, 9236, 476, 273, 543, 563, 273, 476, 275, 3211, 9236, 1614, 7857, 2338, 12408, 476, 274, 543, 563, 1260, 1706, 532, 2338, 3211, 3446, 543, 19280, 476, 273, 7857, 476, 272, 560, 563, 4118, 3211, 585, 3446, 9236, 2338, 476, 273, 7857, 476, 272, 560, 563, 14140, 3446, 3211, 585, 5614, 2979, 9236, 476, 273, 7857, 2338, 1079, 563, 4103, 18694, 9236, 2338, 476, 273, 7857, 3211, 476, 272, 560, 3446, 563, 24030, 518, 982, 543, 1447, 3211, 9236, 476, 273, 7857, 2338, 476, 272, 560, 3446, 563, 1260, 1706, 532, 835, 7857, 2338, 4976, 9656, 519, 1655, 476, 273, 3211, 543, 19280, 563, 1260, 1706, 532, 2338, 3211, 3446, 476, 273, 7857, 1079, 1101, 563, 24030, 518, 982, 543, 1447, 3211, 21630, 9236, 476, 273, 7857, 2338, 476, 274, 563, 1260, 1706, 532, 1079, 7857, 2338, 4976, 3872, 2200, 543, 811, 476, 273, 3211, 476, 274, 563, 4818, 732, 1079, 476, 274, 7857, 2338, 1210, 1747, 1871, 10096, 689, 9236, 476, 273, 3211, 543, 563, 1260, 1706, 532, 2338, 476, 273, 7857, 3211, 4305, 6486, 543, 476, 274, 563, 14079, 476, 275, 13004, 2200, 9236, 543, 19280, 476, 276, 476, 277, 7857, 476, 273, 2338, 3211, 563, 14140, 3446, 9236, 4976, 835, 2985, 3211, 19280, 543, 476, 273, 7857, 2338, 476, 274, 563, 2897, 1871, 19280, 476, 273, 7857, 2338, 4976, 2534, 6656, 9236, 3211, 1079, 1101, 3446, 563, 342, 5793, 3446, 1100, 3341, 2979, 3211, 838, 539, 3490, 9236, 476, 273, 7857, 2338, 1079, 1101, 563, 330, 1749, 9236, 1079, 543, 1614, 7857, 2338, 3211, 4976, 476, 273, 476, 274, 563, 1260, 1706, 532, 2338, 3211, 15813, 476, 273, 7857, 476, 272, 560, 3446, 269, 0, 15463, 6457, 543, 2295, 1185, 741, 1753, 267, 607, 621, 941, 267, 538, 9390, 4025, 267, 1141, 1352, 887, 3139, 607, 11884, 607, 519, 3552, 4095, 538, 1010, 18137, 269, 19716, 267, 4807, 267, 23524, 1148, 18177, 585, 713, 256, 5776, 596, 1934, 267, 543, 1577, 803, 2196, 543, 6952, 621, 269, 769, 634, 25753, 2280, 14594, 267, 26637, 1408, 8316, 25079, 2982, 519, 5467, 519, 4539, 540, 1373, 851, 540, 606, 15490, 2078, 269, 634, 21569, 518, 267, 1310, 721, 17518, 1864, 883, 519, 4055, 267, 7283, 513, 4090, 267, 14952, 1782, 693, 519, 13354, 9602, 602, 4553, 1010, 13675, 282, 585, 670, 6856, 623, 787, 333, 928, 1185, 5612, 1831, 607, 1869, 607, 2669, 267, 4352, 519, 1126, 4797, 547, 4779, 534, 269, 26637, 1408, 8316, 628, 1941, 525, 3209, 634, 25753, 2280, 14594, 568, 827, 513, 29752, 4807, 267, 670, 6856, 623, 787, 333, 928, 267, 543, 1200, 6560, 547, 8237, 689, 2486, 538, 1931, 547, 2661, 519, 15962, 1272, 1352, 814, 2141, 4941, 269, 1284, 786, 723, 513, 1753, 543, 11642, 728, 540, 938, 1378, 282, 543, 23524, 695, 5306, 1694, 2390, 1010, 12597, 282, 543, 646, 786, 4001, 26899, 1082, 1919, 267, 543, 2648, 26899, 632, 8765, 269, 16828, 267, 670, 6856, 623, 787, 333, 928, 12679, 1206, 782, 519, 12918, 1996, 1934, 1813, 547, 1200, 563, 4415, 9350, 543, 8247, 22987, 267, 646, 5433, 1200, 13942, 267, 6743, 883, 1200, 4064, 267, 1765, 320, 22401, 602, 1500, 1200, 2295, 16756, 543, 695, 644, 1457, 267, 1317, 865, 5432, 267, 543, 2943, 865, 9490, 543, 4411, 267, 1765, 663, 267, 6368, 267, 13854, 609, 1010, 7634, 267, 8399, 539, 547, 544, 17532, 1776, 1951, 9853, 269, 3973, 1352, 3217, 621, 1055, 950, 1352, 4422, 547, 2342, 547, 1376, 513, 1007, 1272, 269, 634, 25243, 4484, 729, 1200, 1780, 1636, 883, 4525, 1141, 824, 2021, 546, 1563, 711, 25500, 269, 14717, 3112, 1491, 621, 1055, 269, 16874, 513, 812, 2938, 2025, 23011, 932, 3739, 10290, 267, 693, 602, 4090, 540, 1010, 3235, 560, 6470, 267, 646, 1131, 723, 1185, 1100, 991, 547, 2307, 875, 30616, 735, 2176, 5128, 950, 513, 10475, 1480, 9997, 568, 4503, 547, 13140, 267, 543, 4465, 883, 1010, 10806, 269, 670, 6856, 623, 787, 333, 928, 267, 3627, 12736, 6605, 267, 26637, 1408, 8316, 25079, 476, 15686, 276, 9293, 476, 275, 9664, 29526, 538, 634, 25753, 2280, 14594, 769, 1010, 476, 6977, 272, 3209, 267, 634, 25753, 2280, 14594, 267, 26637, 1408, 8316, 25079, 25361, 1169, 2460, 540, 519, 1650, 609, 13513, 269, 14732, 670, 8553, 8657, 267, 670, 6856, 623, 787, 333, 928, 267, 3627, 12736, 6605, 476, 11793, 276, 9293, 476, 274, 9664, 1234, 3164, 526, 14880, 17435, 6996, 23014, 2904, 476, 2190, 267, 476, 13932, 273, 1306, 1352, 11542, 593, 519, 21934, 1245, 267, 1250, 4064, 941, 530, 2632, 547, 29506, 1125, 1200, 689, 2212, 547, 23179, 282, 519, 23666, 4369, 267, 519, 22406, 5898, 540, 1200, 2934, 575, 548, 3139, 896, 519, 544, 1342, 599, 3141, 563, 4517, 267, 602, 23524, 949, 560, 2661, 267, 1491, 1055, 713, 1951, 9853, 269, 1261, 3081, 547, 1200, 267, 538, 4395, 540, 519, 15624, 281, 1412, 296, 5279, 26899, 547, 3717, 856, 519, 2012, 540, 16815, 8284, 1606, 27903, 543, 8284, 1606, 4428, 19907, 256, 269, 898, 949, 581, 602, 267, 950, 649, 29709, 938, 2696, 267, 910, 950, 649, 26991, 938, 27527, 1142, 585, 519, 824, 781, 9997, 267, 910, 621, 729, 1287, 576, 1721, 628, 642, 664, 547, 4126, 602, 649, 1223, 2743, 1934, 12898, 267, 538, 606, 2479, 331, 8463, 543, 6986, 22653, 542, 269, 17435, 6996, 23014, 1732, 1413, 547, 621, 610, 1010, 5609, 786, 581, 14733, 538, 1857, 269, 4595, 649, 723, 711, 2413, 1242, 519, 1257, 267, 649, 2303, 596, 581, 6297, 1354, 556, 6748, 930, 540, 8316, 25079, 781, 2895, 24191, 1913, 269, 5637, 17435, 6996, 23014, 543, 932, 3739, 10290, 7985, 9308, 538, 519, 1433, 267, 543, 741, 2168, 7985, 902, 2992, 593, 519, 1533, 540, 741, 5289, 30441, 563, 3891, 729, 9363, 538, 519, 7890, 267, 711, 1317, 646, 729, 16143, 540, 1022, 6760, 267, 855, 1152, 2394, 519, 4012, 626, 6233, 543, 519, 4095, 8783, 338, 1223, 3858, 593, 519, 3902, 540, 1010, 26030, 269, 769, 6240, 13513, 568, 849, 6719, 998, 824, 1919, 543, 3197, 267, 552, 269, 634, 2295, 267, 1818, 3294, 16944, 540, 971, 11580, 267, 1590, 829, 4403, 3180, 873, 267, 2394, 519, 1554, 950, 782, 6456, 1919, 4927, 581, 7000, 269, 1358, 2219, 713, 729, 513, 20585, 8945, 2094, 519, 14012, 568, 269, 3657, 1250, 5301, 530, 2632, 547, 581, 865, 13719, 286, 1520, 2381, 3563, 713, 1951, 9853, 267, 4061, 267, 609, 555, 710, 1378, 1688, 269, 594, 723, 9039, 547, 2285, 26899, 256, 769, 519, 4104, 6429, 267, 17435, 6996, 23014, 10423, 569, 30877, 602, 646, 568, 1480, 543, 1058, 2307, 19807, 543, 798, 4050, 766, 16175, 269, 901, 3947, 519, 3988, 513, 1732, 1620, 540, 519, 3197, 543, 1018, 789, 616, 4743, 563, 300, 996, 3855, 23524, 1148, 1932, 3735, 256, 26681, 596, 267, 6862, 519, 1071, 539, 6002, 596, 3838, 621, 609, 786, 581, 2111, 547, 9156, 621, 1586, 269, 634, 1257, 568, 711, 20582, 547, 519, 1318, 14345, 519, 1482, 1259, 607, 538, 519, 3312, 269, 8422, 1713, 6698, 689, 634, 25753, 2280, 14594, 1331, 281, 23421, 267, 670, 6856, 267, 543, 634, 11206, 269, 26637, 1408, 8316, 25079, 28420, 713, 4655, 998, 1010, 3209, 267, 634, 25753, 2280, 14594, 269, 634, 6633, 10077, 689, 10472, 32107, 950, 621, 646, 4705, 5828, 6505, 2699, 267, 3976, 519, 1268, 342, 648, 513, 25753, 2280, 14594, 593, 741, 30432, 585, 519, 1964, 540, 741, 1272, 1211, 4328, 873, 607, 513, 7803, 543, 1018, 741, 6760, 729, 269, 634, 1257, 568, 5258, 883, 3184, 6119, 585, 10375, 1569, 269, 2334, 5609, 729, 13277, 6670, 543, 585, 22867, 971, 513, 5609, 1200, 10751, 729, 1857, 1208, 559, 2747, 538, 519, 1106, 540, 513, 25243, 4484, 513, 12816, 2390, 1200, 536, 657, 558, 563, 1103, 1840, 547, 1480, 16950, 543, 18354, 267, 519, 3209, 8761, 11375, 636, 2033, 10751, 543, 25711, 689, 519, 2229, 543, 4961, 269, 1635, 4758, 803, 713, 8781, 25711, 547, 7703, 2390, 1250, 6089, 256, 22353, 267, 1010, 8748, 28005, 976, 616, 3365, 7596, 539, 676, 782, 585, 513, 2601, 1010, 19700, 1810, 1405, 1174, 281, 16429, 543, 989, 3415, 723, 13087, 519, 7214, 16159, 15902, 3563, 547, 5431, 543, 26003, 1125, 609, 824, 5609, 2996, 269, 898, 729, 513, 942, 540, 2021, 4358, 547, 1118, 741, 9739, 4862, 593, 513, 1804, 4336, 267, 607, 519, 1101, 2021, 781, 2924, 15007, 729, 693, 7354, 29132, 22484, 267, 1715, 3840, 267, 538, 476, 7277, 279, 269, 1261, 568, 4617, 538, 519, 2631, 602, 646, 524, 10183, 538, 9658, 1097, 543, 2833, 4797, 2463, 1247, 670, 6856, 568, 26723, 2350, 1242, 267, 610, 16934, 267, 689, 519, 2146, 269, 1703, 616, 1082, 6698, 538, 519, 1433, 267, 763, 6698, 782, 723, 2495, 267, 799, 948, 519, 5467, 547, 979, 4514, 538, 519, 1257, 269, 3571, 16203, 22655, 693, 1864, 1498, 267, 543, 1010, 1582, 268, 1002, 1042, 4991, 7168, 23892, 269, 1261, 729, 4535, 26637, 1408, 670, 987, 11448, 267, 855, 2663, 4957, 1010, 2012, 547, 563, 763, 1034, 6654, 3090, 568, 519, 25243, 4484, 589, 269, 1546, 4177, 621, 4422, 267, 543, 4514, 267, 883, 519, 19069, 267, 1447, 10750, 569, 547, 581, 2938, 693, 1169, 1900, 256, 901, 6249, 540, 25863, 568, 7494, 1644, 547, 519, 840, 12329, 267, 23011, 17435, 6996, 23014, 267, 4171, 1272, 5555, 25856, 1472, 713, 2856, 269, 670, 6856, 2760, 7000, 1010, 3961, 547, 519, 4884, 269, 634, 1292, 1915, 670, 6856, 623, 787, 333, 928, 568, 1318, 538, 519, 1647, 540, 782, 540, 891, 1919, 267, 2059, 609, 1373, 538, 519, 1647, 540, 513, 22586, 2078, 609, 1200, 9393, 269, 634, 811, 646, 23119, 267, 519, 1732, 1010, 28005, 976, 1831, 269, 1809, 670, 6856, 11129, 1279, 3516, 547, 723, 2944, 609, 713, 21440, 269, 7439, 1705, 1010, 1629, 6756, 712, 1689, 267, 950, 519, 15639, 540, 519, 7890, 268, 24010, 2451, 1864, 3068, 547, 3068, 609, 519, 4807, 267, 4171, 12842, 5469, 540, 1864, 267, 538, 519, 15624, 267, 1185, 12932, 730, 865, 2673, 513, 6935, 1063, 5128, 543, 1200, 563, 310, 699, 594, 17709, 547, 581, 16718, 540, 621, 267, 621, 1131, 2887, 2476, 540, 922, 1378, 2470, 267, 610, 581, 9927, 883, 1945, 602, 1058, 3717, 513, 1114, 1625, 1636, 269, 5590, 538, 27867, 10601, 8830, 11939, 12590, 267, 519, 3209, 7740, 1472, 519, 911, 341, 5661, 540, 670, 6856, 623, 787, 333, 928, 267, 945, 3947, 4332, 547, 8250, 23421, 1310, 606, 13277, 614, 748, 26035, 269, 3571, 2012, 729, 9307, 607, 23011, 932, 3739, 10290, 269, 14732, 670, 8553, 8657, 267, 670, 6856, 623, 787, 333, 928, 267, 3627, 12736, 6605, 476, 14056, 280, 9293, 476, 274, 9664, 1174, 3197, 610, 2796, 538, 513, 1114, 1259, 269, 1306, 1010, 851, 568, 6854, 5728, 267, 646, 18854, 1667, 2476, 689, 1010, 1582, 268, 1002, 1042, 543, 932, 3739, 10290, 781, 8731, 618, 563, 11997, 267, 1175, 607, 621, 3576, 5722, 2395, 547, 1711, 1945, 1390, 267, 621, 3576, 5722, 1296, 547, 7866, 1945, 1390, 269, 670, 6856, 2965, 31273, 519, 25753, 2280, 14594, 689, 519, 1554, 1352, 568, 2322, 593, 519, 21934, 1245, 2394, 1352, 7654, 4422, 547, 2342, 543, 3217, 621, 1055, 267, 1287, 1352, 2501, 1394, 4805, 543, 7024, 547, 1200, 2025, 2777, 543, 12662, 519, 4484, 1394, 593, 267, 538, 922 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8168, 5742, 896, 19797, 9549, 4341, 563, 3719, 811, 3622, 267, 10960, 12426, 6763, 585, 1022, 1480, 2486, 267, 581, 621, 24041, 267, 24180, 267, 3673, 626, 267, 610, 21340, 10756, 1432, 568, 519, 5837, 540, 10960, 12426, 888, 3080, 540, 519, 7887, 26069, 1369, 519, 1650, 267, 543, 519, 1655, 15422, 835, 666, 581, 6829, 998, 519, 8360, 968, 20175, 4856, 4533, 338, 267, 18104, 5295, 4856, 4533, 338, 25999, 1848, 10801, 519, 3209, 267, 519, 5467, 568, 2111, 547, 1294, 19167, 519, 6477, 7930, 4742, 811, 543, 811, 18348, 539, 607, 646, 12374, 811, 1379, 563, 3963, 616, 2831, 1419, 1031, 538, 535, 1963, 888, 2414, 1174, 513, 535, 762, 267, 519, 5467, 610, 26575, 1281, 711, 991, 547, 917, 782, 827, 519, 3197, 267, 1152, 835, 1271, 3364, 269, 1280, 713, 2601, 2831, 616, 1419, 1031, 538, 535, 1963, 538, 513, 1259, 602, 568, 3362, 6956, 1317, 621, 568, 2141, 519, 1482, 269, 1358, 1832, 519, 1482, 4162, 689, 1650, 547, 1650, 563, 1432, 568, 513, 1434, 1383, 540, 513, 535, 762, 888, 5278, 540, 519, 1034, 4583, 535, 1963, 1331, 281, 634, 16541, 543, 519, 18683, 269, 901, 535, 762, 568, 519, 5169, 540, 519, 8360, 968, 338, 712, 18683, 1848, 589, 16541, 838, 625, 513, 19619, 540, 18683, 1164, 909, 593, 513, 7936, 543, 6499, 873, 21354, 269, 1261, 3217, 513, 4881, 7914, 547, 3914, 873, 855, 4413, 525, 563, 1432, 568, 519, 5837, 540, 535, 762, 888, 29825, 269, 513, 2110, 9661, 547, 4001, 513, 5837, 3992, 267, 1419, 609, 2831, 610, 538, 534, 1493, 3615, 607, 3197, 282, 23294, 826, 281, 519, 535, 762, 540, 519, 12475, 18857, 543, 519, 688, 516, 282, 288, 525, 641, 779, 535, 1963, 269, 513, 1650, 711, 8547, 593, 1249, 281, 901, 12092, 568, 7361, 513, 1582, 2000, 7596, 2218, 535, 762, 563, 1432, 616, 519, 2947, 5837, 2418, 888, 2005, 1131, 4196, 2486, 1134, 952, 519, 1739, 5722, 5837, 2418, 941, 6026, 547, 1053, 538, 3506, 269, 4462, 935, 6463, 11146, 543, 9877, 1145, 269, 769, 1034, 2665, 267, 952, 596, 2648, 2576, 267, 789, 786, 2648, 596, 1394, 269, 2560, 12968, 17965, 269, 2560, 10434, 4518, 269, 2560, 21727, 585, 11524, 269, 2560, 29046, 269, 2560, 3281, 6842, 269, 2560, 1280, 326, 4369, 563, 3963, 798, 535, 1963, 946, 2831, 3079, 540, 3425, 888, 3963, 798, 2831, 4183, 865, 30326, 538, 589, 525, 641, 779, 535, 1963, 286, 2560, 4340, 547, 938, 3504, 2959, 267, 519, 535, 762, 779, 946, 540, 2831, 5097, 5713, 547, 20838, 519, 5708, 1275, 543, 1769, 1145, 540, 519, 2984, 269, 634, 1567, 2225, 540, 519, 1480, 1242, 3662, 2636, 519, 535, 762, 547, 1118, 922, 1448, 1510, 19309, 610, 29405, 532, 606, 1039, 637, 5408, 563, 1432, 616, 476, 274, 4162, 540, 513, 535, 762, 888, 23322, 2524, 540, 513, 674, 762, 293, 1963, 616, 5708, 12171, 1963, 616, 2110, 543, 723, 1906, 3197, 269, 13142, 3030, 616, 1419, 2831, 609, 1480, 10305, 269, 1358, 723, 9342, 543, 12755, 543, 616, 538, 930, 4990, 540, 4655, 12171, 1963, 616, 1175, 835, 1650, 7868, 4259, 666, 581, 9170, 6993, 3992, 610, 5837, 568, 6026, 543, 568, 3006, 7150, 693, 519, 1439, 540, 519, 1650, 563, 1432, 568, 519, 5837, 540, 589, 525, 641, 779, 535, 762, 888, 763, 5837, 1107, 11565, 707, 2828, 936, 707, 14763, 543, 602, 972, 568, 4222, 538, 9322, 269, 634, 1483, 5837, 1107, 6733, 4514, 883, 713, 535, 762, 543, 1413, 693, 519, 2474, 2828, 543, 535, 3996, 513, 2370, 8335, 982, 596, 2356, 1131, 269, 3371, 267, 2828, 1611, 1004, 609, 2147, 5784, 543, 535, 3996, 616, 1346, 945, 8428, 563, 1432, 568, 519, 3992, 693, 519, 1439, 540, 513, 535, 762, 1572, 888, 288, 535, 762, 568, 513, 1650, 602, 2934, 2831, 267, 2371, 610, 4229, 540, 2470, 799, 616, 10236, 14521, 2213, 630, 326, 1508, 1480, 7907, 1040, 589, 535, 762, 2141, 7475, 609, 513, 2048, 332, 7394, 9957, 901, 568, 519, 3992, 602, 568, 5497, 547, 581, 19927, 998, 2542, 519, 1650, 269, 2290, 540, 519, 1034, 4583, 535, 1963, 568, 634, 670, 732, 543, 519, 32202, 18857, 563, 1432, 568, 519, 6456, 5048, 538, 10960, 12426, 888, 7775, 6202, 779, 5048, 29808, 3988, 827, 3850, 695, 4319, 323, 267, 25796, 14761, 547, 19597, 622, 1379, 543, 7930, 1491, 2476, 3540, 2924, 543, 23118, 269, 1261, 849, 29808, 3988, 827, 519, 1585, 2409, 540, 12879, 543, 18259, 1031, 676, 28974, 20816, 547, 1727, 816, 543, 1852, 519, 17069, 864, 563, 2710, 782, 535, 1963, 723, 26069, 888, 288, 535, 762, 568, 513, 2110, 1650, 602, 11414, 513, 3992, 610, 27711, 513, 5837, 269, 2560, 5753, 4043, 547, 1265, 713, 13267, 267, 1818, 519, 5837, 540, 519, 1650, 811, 4143, 269, 674, 1963, 616, 5702, 2404, 609, 18912, 8941, 269, 2755, 18912, 8941, 666, 849, 4183, 6158, 2831, 267, 789, 1810, 1406, 723, 547, 4183, 513, 4396, 5837, 610, 3992, 607, 535, 1963, 798, 563, 3674, 4414, 681, 4575, 32431, 513, 18912, 9661, 610, 535, 762, 888, 28012, 4414, 681, 4575, 32431, 568, 2808, 547, 581, 513, 18912, 9661, 269, 898, 568, 711, 513, 535, 762, 269, 589, 535, 762, 568, 2966, 547, 4001, 513, 1808, 3992, 610, 547, 6338, 513, 5837, 607, 7498, 6701, 535, 1963, 2141, 827, 2831, 888, 293, 1963, 267, 2705, 267, 616, 1256, 10156, 982, 18912, 8941, 269, 634, 3197, 540, 535, 1963, 616, 2141, 543, 9003, 2831, 267, 18867, 1100, 26704, 7068, 616, 3769, 269, 634, 1482, 10039, 547, 9059, 2609, 269, 22353, 267, 519, 2898, 1650, 540, 519, 535, 762, 1223, 4755, 547, 3425, 538, 1483, 1272, 563, 3963, 798, 1453, 779, 2835, 946, 2831, 888, 763, 6530, 540, 3662, 2984, 12292, 607, 3197, 267, 4061, 267, 666, 3142, 521, 650, 1465, 543, 1651, 784, 745, 640, 267, 1818, 513, 1650, 811, 11791, 269, 1809, 789, 849, 1039, 513, 4110, 540, 3929, 3845, 585, 519, 5467, 267, 799, 568, 1271, 950, 519, 1650, 5048, 568, 2123, 267, 11213, 610, 3532, 563, 1432, 10960, 12426, 11414, 721, 888, 2304, 1271, 3992, 602, 6723, 2107, 6202, 11414, 538, 10960, 12426, 568, 602, 3401, 786, 946, 741, 1379, 547, 960, 585, 741, 2123, 2744, 267, 799, 2306, 513, 2588, 26508, 2486, 7543, 269, 29665, 609, 824, 11396, 568, 593, 1259, 19167, 1568, 585, 1010, 1378, 5413, 563, 3963, 616, 535, 1963, 865, 1271, 888, 27735, 540, 674, 1963, 269, 674, 1963, 616, 15851, 5339, 3457, 1317, 540, 741, 2702, 547, 5838, 5837, 6835, 538, 513, 2241, 1259, 602, 666, 581, 6956, 543, 10150, 676, 3988, 540, 782, 6502, 269, 769, 1249, 267, 519, 535, 762, 568, 835, 540, 519, 9510, 543, 1034, 9434, 2409, 540, 1312, 2854, 543, 5711, 9423, 563, 1432, 568, 513, 535, 762, 585, 3214, 888, 288, 535, 762, 568, 513, 16168, 1650, 855, 949, 4001, 513, 3992, 610, 2303, 513, 5837, 689, 621, 269, 2560, 589, 535, 762, 6238, 538, 519, 1647, 540, 519, 1650, 267, 602, 1797, 267, 26357, 883, 519, 1292, 2680, 1510, 2143, 4367, 540, 3197, 269, 634, 3197, 540, 513, 535, 762, 949, 581, 1004, 267, 2831, 267, 10971, 267, 610, 4376, 3116, 269, 0, 2467, 616, 2185, 1114, 2010, 540, 17081, 9817, 1107, 2881, 2692, 27826, 267, 8514, 641, 1886, 267, 8514, 1993, 534, 543, 8514, 657, 3873, 1111, 563, 1432, 616, 519, 1114, 2010, 540, 3154, 17081, 9817, 888, 19177, 2010, 540, 3154, 17081, 9817, 616, 1031, 547, 4412, 601, 543, 1379, 8484, 269, 1358, 616, 519, 2881, 2692, 27826, 267, 8514, 1993, 534, 267, 8514, 641, 1886, 267, 543, 8514, 657, 3873, 1111, 563, 1432, 616, 519, 2101, 2694, 540, 3154, 17081, 2599, 888, 763, 3154, 17081, 568, 1500, 909, 540, 519, 1739, 3334, 912, 268, 1323, 2011, 26468, 563, 268, 589, 12318, 528, 563, 268, 589, 1379, 17081, 267, 799, 7472, 519, 1379, 547, 5397, 519, 2011, 26468, 543, 519, 3977, 14788, 563, 1432, 568, 8484, 17081, 2599, 888, 7197, 15191, 9817, 1031, 538, 18229, 616, 2011, 7244, 267, 30212, 2095, 267, 3154, 17081, 9817, 269, 589, 3154, 17081, 568, 513, 27414, 2599, 602, 21555, 1648, 689, 513, 2095, 540, 13674, 9362, 269, 2560, 589, 2881, 2692, 27826, 2599, 568, 1034, 3608, 950, 519, 3432, 540, 519, 8484, 602, 621, 4412, 1564, 4114, 23660, 519, 3432, 540, 519, 9688, 3154, 563, 1432, 616, 3154, 17081, 9817, 1031, 585, 888, 294, 553, 18434, 616, 1031, 547, 1379, 8484, 267, 14884, 267, 9635, 267, 5122, 18402, 267, 15450, 267, 3154, 14771, 832, 267, 543, 13688, 563, 1432, 616, 519, 1614, 1292, 3334, 540, 3154, 17081, 888, 763, 3154, 17081, 814, 1614, 2101, 6810, 267, 12077, 519, 26468, 267, 12318, 528, 543, 17081, 630, 24392, 267, 689, 513, 2326, 5133, 267, 519, 824, 2101, 5057, 2516, 1107, 23301, 267, 524, 2084, 543, 18559, 8270, 2456, 1107, 616, 849, 540, 1719, 1916, 1432, 616, 519, 3334, 540, 513, 29357, 3154, 17081, 9817, 888, 763, 3154, 17081, 2599, 15841, 593, 1034, 21484, 641, 1562, 568, 1500, 909, 540, 513, 26468, 267, 13674, 12068, 267, 17081, 267, 543, 1569, 800, 10591, 7901, 10198, 269, 634, 26468, 14405, 22012, 2011, 883, 519, 726, 523, 636, 12068, 543, 14771, 525, 621, 563, 1432, 568, 519, 2324, 6240, 540, 3154, 17081, 888, 763, 3154, 2389, 7875, 710, 13333, 593, 519, 6240, 540, 519, 645, 2001, 2023, 4783, 267, 1141, 19316, 2011, 568, 6404, 609, 4492, 267, 543, 14616, 896, 3586, 2604, 2175, 269, 634, 4611, 3905, 3154, 568, 4847, 547, 4228, 998, 513, 17081, 547, 1685, 960, 563, 1432, 616, 519, 4162, 540, 513, 3154, 17081, 888, 14611, 18567, 540, 13937, 5695, 321, 710, 543, 13937, 5422, 294, 553, 5695, 321, 710, 294, 553, 5422, 16978, 3740, 21252, 630, 299, 295, 309, 264, 3066, 268, 3451, 260, 4366, 269, 276, 268, 5392, 260, 13707, 21252, 540, 595, 4094, 3130, 630, 299, 295, 309, 264, 3199, 268, 10695, 260, 8287, 269, 276, 268, 6507, 260, 16978, 3740, 21252, 630, 8512, 658, 20509, 264, 14187, 25802, 6153, 2750, 9151, 14333, 11947, 17938, 2246, 3154, 2837, 543, 2179, 20181, 9688, 3154, 2837, 396, 499, 27569, 397, 495, 476, 278, 11012, 4344, 4814, 30718, 454, 8489, 568, 519, 5207, 2604, 538, 513, 3154, 17081, 2599, 888, 18208, 675, 568, 5207, 2901, 693, 519, 1439, 540, 519, 26468, 267, 610, 1318, 1354, 519, 1379, 17081, 3296, 269, 18323, 568, 2469, 547, 581, 519, 5207, 538, 519, 13674, 3296, 269, 1403, 621, 779, 513, 8514, 641, 1886, 267, 1287, 519, 5207, 6991, 568, 4440, 2469, 547, 581, 693, 519, 886, 12528, 563, 3963, 616, 8514, 641, 28979, 1869, 1031, 888, 13434, 760, 10635, 908, 2599, 4412, 11839, 27858, 616, 5266, 3608, 693, 1970, 31556, 543, 2011, 14588, 2644, 267, 789, 616, 811, 22237, 585, 519, 3328, 2010, 540, 2489, 18229, 19426, 269, 2560, 5695, 321, 641, 28979, 6445, 519, 4398, 7934, 1063, 25262, 908, 543, 6986, 15191, 9817, 267, 1373, 1034, 3608, 693, 4571, 31556, 543, 2011, 14588, 2644, 563, 7617, 568, 1732, 8514, 641, 1886, 610, 15191, 888, 288, 17081, 2599, 568, 5393, 1769, 543, 7472, 16854, 1379, 3562, 27954, 607, 10353, 547, 513, 13380, 25059, 2599, 269, 2560, 32591, 9817, 616, 2111, 547, 4412, 601, 519, 8484, 547, 14320, 2362, 8184, 2157, 982, 513, 8514, 641, 1886, 267, 909, 547, 519, 18919, 2412, 338, 607, 10353, 547, 519, 8514, 641, 1886, 1698, 540, 1472, 18919, 1789, 563, 1432, 568, 15191, 4492, 1500, 540, 888, 297, 564, 10173, 616, 5097, 6508, 689, 19020, 3282, 267, 519, 1455, 2012, 585, 5277, 19386, 269, 1452, 15191, 10173, 666, 581, 5219, 547, 607, 19386, 23402, 15191, 10173, 269, 32591, 10173, 666, 849, 22132, 689, 606, 5214, 1570, 1336, 538, 32549, 267, 1572, 23128, 4094, 610, 19386, 17571, 281, 602, 666, 581, 10736, 676, 3002, 547, 32549, 3282, 563, 7617, 4492, 568, 1031, 538, 3154, 17081, 888, 1692, 1281, 513, 3154, 17081, 1376, 888, 294, 553, 17081, 9817, 2097, 538, 1082, 5546, 543, 7306, 269, 2560, 634, 3167, 5179, 30809, 519, 1292, 14788, 2394, 972, 568, 2614, 2011, 25738, 998, 519, 26468, 543, 519, 13674, 12068, 547, 1769, 519, 2599, 269, 23556, 6238, 13576, 543, 606, 5337, 3438, 2147, 547, 513, 8141, 11690, 5337, 2572, 519, 4492, 563, 1432, 568, 645, 2001, 2023, 4783, 585, 3154, 17081, 888, 288, 5687, 17871, 4783, 1210, 3586, 2604, 267, 3002, 1840, 543, 18349, 269, 23556, 543, 513, 26468, 616, 1031, 547, 3002, 543, 2333 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1004, 543, 824, 2831, 5968, 3842, 15700, 269, 834, 29189, 3604, 538, 22098, 538, 26068, 2792, 2668, 2073, 898, 568, 1271, 547, 4063, 602, 1247, 26068, 2792, 568, 811, 11342, 538, 7087, 1977, 18877, 267, 11913, 2792, 568, 849, 1031, 269, 16685, 3346, 543, 11132, 7215, 1683, 1271, 1514, 543, 3929, 1344, 269, 8065, 11943, 602, 9938, 12515, 1223, 2014, 21390, 1063, 4529, 607, 4529, 946, 540, 9938, 12515, 9775, 543, 1018, 568, 22232, 538, 835, 2528, 949, 2039, 689, 1373, 14845, 547, 1373, 18086, 547, 2818, 540, 513, 1114, 2528, 907, 7301, 1875, 14620, 1023, 1419, 17591, 11913, 5048, 269, 7073, 5678, 4750, 269, 1715, 19839, 1873, 1157, 281, 3690, 9146, 23255, 269, 16819, 3369, 626, 749, 681, 299, 630, 3192, 271, 1040, 898, 666, 948, 721, 3717, 543, 1224, 12531, 1510, 1620, 513, 2262, 540, 1142, 824, 781, 4654, 269, 7638, 4472, 2792, 568, 1141, 8665, 31825, 609, 519, 3593, 1210, 1913, 2864, 982, 2962, 269, 8808, 543, 13564, 3511, 640, 267, 23690, 3122, 15922, 6777, 26029, 2036, 334, 5779, 267, 1642, 6062, 854, 30028, 21189, 267, 5274, 2792, 568, 26068, 630, 5988, 476, 1220, 275, 3738, 630, 538, 4436, 3738, 568, 8665, 269, 1677, 740, 9532, 267, 12572, 17267, 616, 5497, 547, 1683, 29433, 1344, 547, 513, 11913, 5048, 602, 21039, 269, 30460, 518, 1004, 616, 9228, 607, 1373, 811, 11141, 20607, 631, 267, 30954, 22222, 17018, 638, 5028, 6751, 630, 476, 1220, 279, 3738, 607, 256, 8058, 7553, 16175, 4096, 762, 267, 543, 621, 568, 1031, 950, 14379, 609, 9164, 267, 15032, 267, 11783, 3657, 28078, 3842, 8231, 958, 610, 1875, 268, 14620, 958, 630, 476, 1220, 274, 3738, 616, 1500, 827, 610, 269, 5637, 4938, 958, 543, 609, 519, 2953, 1560, 6786, 610, 17267, 941, 811, 1582, 22306, 267, 4096, 762, 267, 543, 621, 568, 547, 269, 4107, 5432, 616, 519, 865, 10777, 900, 21793, 610, 9889, 762, 17267, 1614, 2516, 281, 930, 1688, 5322, 711, 256, 1677, 2450, 1004, 909, 798, 711, 2154, 3450, 513, 4052, 1797, 540, 2792, 267, 519, 256, 14409, 3322, 519, 5778, 31850, 8344, 1935, 547, 26068, 2792, 568, 2944, 1759, 593, 875, 13498, 269, 715, 617, 3429, 519, 2212, 568, 835, 4480, 602, 666, 948, 2087, 938, 4656, 540, 715, 31357, 4892, 1871, 3845, 547, 2933, 256, 15742, 5061, 8476, 2702, 1247, 1866, 21022, 621, 267, 519, 1259, 835, 23297, 547, 10571, 6645, 513, 2603, 835, 1862, 4437, 1162, 543, 26068, 6835, 581, 2938, 607, 513, 1129, 540, 2463, 1582, 22306, 267, 4096, 762, 267, 543, 621, 568, 547, 1862, 1656, 2796, 281, 10749, 593, 1560, 5163, 2792, 14555, 4305, 15234, 540, 21687, 256, 1656, 12572, 17267, 568, 13026, 676, 17187, 17267, 616, 8200, 2390, 15520, 7608, 7664, 543, 723, 1732, 3955, 26051, 1496, 256, 769, 811, 13016, 5468, 543, 811, 1419, 676, 1453, 13264, 1524, 519, 3334, 513, 1862, 634, 4636, 5048, 666, 849, 581, 3964, 952, 519, 1560, 1893, 24829, 1281, 711, 6474, 513, 5048, 256, 9524, 539, 1732, 543, 941, 2111, 547, 2697, 8788, 267, 18354, 543, 4250, 1732, 256, 2334, 666, 948, 721, 3717, 543, 1224, 12531, 1510, 1620, 513, 5048, 3322, 6947, 547, 519, 1862, 2334, 1063, 476, 2568, 4939, 543, 476, 3583, 4939, 540, 2792, 267, 543, 13998, 1134, 14661, 4603, 729, 5342, 538, 4055, 1862, 5824, 3013, 543, 519, 18746, 12162, 585, 6876, 3617, 585, 5432, 3347, 6920, 269, 2107, 3381, 19827, 982, 11913, 2792, 568, 26068, 267, 855, 568, 972, 1022, 5168, 547, 713, 740, 720, 476, 1220, 280, 1862, 4317, 569, 1134, 14661, 3730, 950, 16326, 26760, 16023, 602, 1004, 2901, 4865, 610, 19768, 945, 1616, 1862, 30123, 999, 543, 11132, 7215, 1683, 1271, 1514, 543, 3929, 1344, 10291, 538, 22149, 1412, 8339, 15465, 12886, 543, 26068, 6835, 1369, 519, 1482, 5872, 666, 3006, 6494, 15852, 610, 20849, 6835, 1496, 5907, 4199, 1412, 8339, 23618, 26760, 2919, 676, 543, 519, 2090, 9859, 676, 18673, 7917, 661, 269, 543, 1421, 1114, 3652, 616, 1500, 827, 31325, 610, 575, 5074, 7301, 9521, 11913, 6835, 267, 799, 1082, 1862, 12181, 1560, 1893, 267, 945, 4782, 16563, 936, 11913, 2792, 568, 26068, 267, 568, 269, 654, 267, 14480, 333, 667, 267, 8621, 1067, 661, 630, 476, 1220, 280, 3738, 1268, 1412, 338, 8226, 568, 6093, 585, 1004, 945, 1616, 256, 2334, 568, 267, 1004, 786, 1689, 741, 14302, 4470, 593, 519, 3510, 789, 616, 945, 256, 3657, 5497, 547, 1683, 29433, 1344, 547, 513, 11913, 5048, 971, 607, 11132, 7215, 267, 3159, 540, 5639, 267, 11783, 5637, 26068, 543, 11913, 10291, 616, 3730, 950, 16326, 26760, 281, 10749, 593, 5163, 1862, 661, 269, 16019, 543, 31897, 589, 269, 6276, 717, 1014, 333, 7236, 4892, 4043, 547, 3494, 519, 11913, 5048, 3661, 568, 621, 256, 6348, 16812, 29692, 8244, 538, 16326, 26760, 595, 7342, 5069, 808, 294, 630, 5181, 476, 1960, 279, 3738, 543, 1447, 22192, 4664, 269, 2986, 12572, 23972, 589, 269, 6276, 717, 1014, 333, 7236, 4463, 814, 3622, 1336, 602, 26339, 616, 1862, 1772, 13026, 676, 17187, 17267, 972, 1022, 5168, 547, 713, 740, 720, 1271, 10155, 540, 2807, 12181, 1160, 343, 12515, 538, 21676, 921, 4205, 281, 1234, 11779, 1782, 606, 6196, 8838, 545, 15234, 11913, 5048, 1419, 18783, 875, 786, 1862, 2052, 711, 1152, 2769, 707, 4555, 855, 849, 6655, 707, 15131, 543, 6612, 585, 513, 1888, 683, 826, 256, 901, 740, 720, 1004, 909, 11042, 267, 610, 8301, 11746, 19827, 267, 610, 8301, 11746, 19827, 267, 610, 8301, 19827, 256, 1656, 26068, 2623, 1496, 5907, 4199, 9948, 15234, 3013, 543, 519, 5664, 5101, 519, 11807, 3845, 568, 3617, 269, 2271, 1549, 958, 543, 4196, 513, 2312, 32705, 1599, 1569, 547, 2901, 2854, 13973, 540, 519, 20309, 540, 519, 11783, 570, 1901, 19827, 267, 610, 21046, 11603, 543, 1447, 22192, 609, 4664, 519, 5778, 31850, 8344, 1935, 547, 26068, 2792, 568, 8665, 269, 2037, 28387, 14416, 543, 6612, 585, 513, 1888, 8476, 2702, 1247, 1866, 21022, 621, 267, 1004, 1034, 2792, 568, 26068, 3020, 610, 7301, 2792, 24222, 945, 4782, 16563, 936, 11913, 2792, 5871, 3733, 2195, 543, 875, 547, 946, 621, 6356, 1947, 15234, 11132, 269, 1280, 519, 1101, 1353, 941, 1614, 4458, 29419, 972, 616, 513, 1906, 2010, 540, 17187, 28011, 2334, 17267, 616, 1031, 12181, 5606, 2397, 540, 8456, 689, 26068, 2792, 875, 1004, 543, 824, 12292, 5968, 3842, 15700, 713, 269, 8447, 5920, 540, 707, 1870, 6054, 10141, 7525, 543, 1271, 26068, 6835, 19700, 4043, 547, 1025, 1074, 513, 2603, 907, 1323, 981, 10719, 543, 519, 2495, 602, 568, 6038, 6508, 689, 621, 1271, 3853, 8236, 256, 630, 476, 1220, 274, 3738, 12886, 543, 26068, 29692, 8244, 538, 16326, 26760, 513, 1129, 540, 2463, 2808, 547, 581, 17267, 513, 1862, 13242, 538, 811, 13016, 5468, 543, 811, 1419, 676, 1453, 2226, 568, 22983, 267, 13201, 2401, 1696, 907, 3502, 2154, 3450, 543, 922, 10083, 20402, 540, 4393, 3322, 519, 5778, 31850, 8344, 1935, 547, 26068, 2792, 666, 811, 1862, 12287, 609, 519, 5048, 1373, 17814, 267, 6382, 10539, 786, 2049, 547, 1346, 26164, 873, 960, 6792, 256, 14480, 333, 667, 267, 8621, 1067, 661, 630, 476, 1220, 280, 3738, 547, 946, 621, 6356, 1947, 15234, 20309, 519, 256, 4165, 4602, 622, 875, 23700, 786, 4612, 1034, 2792, 568, 26068, 3020, 610, 7301, 19039, 1734, 1247, 538, 7489, 4529, 267, 22401, 666, 581, 1031, 2566, 1862, 2052, 1256, 581, 1759, 593, 741, 3527, 610, 741, 1560, 1893, 16362, 531, 19837, 10488, 476, 1220, 275, 3738, 630, 538, 4436, 3738, 3972, 256, 19793, 1324, 3811, 2792, 5606, 2397, 540, 8456, 689, 26068, 2792, 568, 2944, 1759, 593, 875, 4529, 13498, 519, 8574, 540, 23511, 24606, 1312, 4938, 958, 543, 609, 519, 3593, 1210, 1913, 2864, 982, 2962, 538, 1866, 621, 1862, 7756, 5573, 799, 2694, 540, 3221, 532, 616, 28078, 3842, 8231, 958, 610, 1875, 268, 14620, 958, 9948, 281, 280, 713, 256, 1772, 17941, 19427, 799, 585, 519, 1101, 1353, 941, 1614, 4458, 29419, 8200, 2390, 15520, 7608, 7664, 543, 723, 1732, 3955, 26051, 30385, 2986, 2792, 723, 585, 693, 2547, 1614, 8536, 1296, 1031, 519, 16057, 585, 269, 1403, 519, 1560, 1893, 543, 3159, 1034, 2792, 568, 26068, 3020, 610, 7301, 568, 2808, 3617, 585, 5432, 3347, 543, 6920, 804, 4923, 612, 543, 3972, 19664, 21034, 30285, 5900, 6421, 689, 26068, 2792, 666, 6655, 811, 2495, 982, 11913, 2792, 713, 4480, 729, 2919, 676, 543, 519, 5396, 29755, 3615, 267, 3527, 267, 11132, 7215, 267, 811, 982, 4376, 267, 4196, 607, 513, 1129, 540, 2463, 519, 29755, 15032, 267, 29872, 1734, 267, 610, 21046, 476, 2412, 476, 3910, 519, 30088, 22006, 543, 941, 269, 6478, 540, 1142, 824, 1299, 1948, 1535, 2767, 6902, 590, 960, 2760, 13603, 1454, 269, 16680, 902, 267, 610, 3381, 19827, 1142, 824, 1299, 1948, 1535, 2767, 6902, 590, 4654, 2390, 15520, 7608, 7664, 723, 1862, 16594, 789, 13173, 267, 654, 1329, 518, 631, 630, 949, 476, 3422, 278, 3738, 513, 267, 22804, 29755, 543, 28617, 798, 711, 2154, 3450, 1875, 7721, 335, 4809, 267, 1082, 14726, 1034, 2792, 568, 26068, 3020, 610, 7301, 519, 538, 1862, 20553, 1614, 2516, 281, 2942, 543, 2318, 1826, 540, 16133, 607, 621, 949, 581, 16819, 3369, 626, 749, 1862, 14068, 1106, 547, 1118, 513, 811, 3532, 1268, 7227, 585, 596, 789, 22378, 333, 856, 10978, 267, 1247, 538, 7489, 267, 256, 30003, 585, 1004, 945, 789, 1616, 547, 581, 602, 1554, 786, 2049, 12181, 1453, 1412, 338, 540, 269, 476, 4343, 9948, 7802, 20475, 945, 789, 1616, 547, 581, 602, 1554, 3425, 12837, 269, 4425, 821, 21512, 267, 595, 7342, 5069, 808, 294, 630, 5181, 476, 1960, 279, 3738, 16762, 540, 26760, 2808, 269, 14288, 1382, 568, 4749, 31495, 2181, 1540, 543, 3765, 21323, 538, 2835, 543, 4930, 20849, 6835, 476, 7918, 9948, 3604, 1862, 20134, 543, 2318, 835, 2460, 602, 2337, 547, 3310, 938, 7664, 540, 6835, 568, 1500, 950, 1862, 9861, 1732, 982, 4960, 2157, 267, 1034, 2792, 568, 26068, 3020, 610, 7301, 666, 581, 1031, 547, 2566, 24424, 256, 32672, 531, 8467, 543, 771, 27920, 602, 2230, 649, 2226, 568, 22983, 267, 13201, 2401, 1696, 620, 568, 17941, 19427, 11913, 10291, 3730, 269, 1411, 1131, 4440, 2015, 621, 3983, 1106, 547, 1118, 513, 811, 3532, 1268, 7227, 585, 596, 1312, 543, 269, 4256, 22242, 267, 789, 949, 12181, 4460, 15234, 741, 19039, 766, 630, 552, 3052, 12292, 676, 8176, 16817, 741, 4470, 269, 4004, 5344, 676, 17267, 543, 7215, 2182, 547, 16174, 799, 2694, 540, 3221, 532, 616, 28078, 3842, 8231, 958, 610, 1875, 268, 14620, 958, 12181, 3604, 256, 2334, 13173, 4633, 543, 616, 1644, 547, 519, 4633, 789, 13173, 1419, 18783, 875, 23700, 786, 4612, 19039, 1734, 1862, 9442, 267, 543, 621, 568, 1271, 547, 4063, 602, 17267, 616, 8200, 2390, 15520, 7608, 7664, 543, 723, 513, 11913, 269, 13139, 3278, 1702, 835, 949, 723, 540, 1978, 4607, 17915, 593, 17267, 6818, 950, 703, 517, 725, 610, 11132, 20309, 1031, 269, 2142, 16762, 540, 26760, 24986, 267, 543, 13998, 1134, 14661, 1268, 1412, 338, 8226, 14302, 593, 1862, 2871, 518, 516, 549, 700, 298, 267, 4469, 20477, 918, 630, 476, 1001, 272, 3738, 2390, 4332, 729, 2919, 676, 543, 519, 9859, 1862, 9948, 1312, 26068, 543, 11913, 10291, 616, 3730, 950, 16326, 26760, 621, 6356, 1947, 15234, 543, 6920, 543, 269, 4317, 543, 3929, 1344, 6835, 568, 1500, 4443, 950, 26068, 543, 11913, 2792, 1496, 476, 5655, 9948, 15020, 2147, 17267, 581, 1862, 2859, 1419, 676, 1453, 1031, 17543, 543, 4196, 513, 2312, 32705, 1599, 729, 2919, 543, 269, 634, 851, 1141, 519, 2792, 568, 26068, 267, 855, 538, 1866, 267, 621, 1797, 24895, 1106, 547, 1118, 513, 3532, 269, 1656, 6920, 804, 4923, 612, 543, 3972, 519, 1560, 1893, 3750, 513, 11437, 666, 581, 1016, 323, 22866, 883, 1614, 15545, 30123, 999, 543, 11132, 7215, 1683, 1271, 1514, 543, 3929, 1344, 31325, 610, 575, 5074, 1978, 4607, 907, 9442, 9148, 1142, 824, 1299, 1948, 1535, 2767, 6902, 590, 4654, 1514, 543, 3929, 23511, 1656, 609, 519, 8313, 540, 519, 20309, 540, 519, 11042, 267, 610, 21046, 9889, 762, 17267, 3932, 513, 256, 10753, 529, 16279, 681, 295, 267, 1975, 7398, 657, 717, 630, 4728, 476, 2735, 275, 3738, 6093, 585, 1004, 945, 16326, 256, 5871, 1826, 1034, 2792, 568, 26068, 3020, 610, 7301, 4393, 3322, 519, 5778, 31850, 8344, 1935, 547, 26068, 2792, 267, 543, 1101, 12705, 9186, 15234, 4655, 267, 4043, 256, 1656, 6612, 585, 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 ]

[ 2693, 547, 723, 3765, 7955, 539, 4522, 454, 268, 5689, 665, 2424, 910, 2348, 513, 4731, 665, 7672, 10265, 630, 1478, 321, 924, 267, 896, 321, 924, 267, 3444, 11116, 610, 1930, 11116, 264, 949, 849, 1291, 547, 5186, 12097, 4522, 267, 607, 519, 4522, 616, 17146, 1813, 547, 19514, 2604, 454, 268, 3733, 1993, 23341, 20409, 328, 2293, 910, 16625, 19326, 949, 723, 513, 9434, 1198, 593, 519, 6091, 267, 2497, 610, 1599, 540, 519, 10265, 543, 4522, 269, 1160, 14075, 539, 14853, 647, 9535, 267, 31390, 8595, 647, 9535, 610, 11480, 8023, 949, 782, 1291, 547, 3765, 7955, 539, 4522, 610, 949, 1256, 1291, 547, 606, 936, 321, 924, 454, 268, 18648, 15482, 5516, 910, 14605, 9112, 13123, 267, 32320, 619, 543, 824, 5959, 14382, 12060, 949, 2014, 2604, 593, 4478, 4522, 4929, 873, 547, 1831, 3765, 7955, 539, 454, 268, 18648, 15482, 30719, 910, 4057, 5959, 9882, 949, 1291, 547, 10733, 2068, 543, 824, 5959, 2042, 267, 1082, 540, 799, 949, 2014, 3441, 547, 519, 14779, 610, 10265, 267, 5732, 4929, 519, 3765, 7955, 618, 540, 4522, 454, 300, 529, 7955, 618, 568, 3335, 606, 15110, 2783, 267, 855, 538, 930, 2665, 7180, 267, 5945, 543, 824, 3123, 949, 1689, 519, 2497, 610, 3337, 540, 519, 10265, 563, 22025, 1113, 3123, 540, 3765, 7955, 618, 1331, 912, 268, 595, 3847, 26100, 18025, 531, 622, 910, 513, 4816, 779, 9067, 3029, 1063, 519, 8772, 543, 18749, 3018, 540, 6379, 269, 634, 31370, 630, 549, 1993, 540, 519, 5023, 264, 3029, 1063, 519, 15795, 543, 27630, 3018, 540, 6379, 269, 589, 1579, 1111, 9067, 610, 31370, 4386, 950, 519, 5160, 3085, 1406, 4628, 6443, 267, 6028, 513, 7934, 269, 589, 1579, 1111, 9067, 543, 31370, 949, 849, 4183, 10265, 17244, 454, 268, 8177, 539, 610, 2806, 7538, 29726, 910, 16094, 12936, 610, 25983, 958, 8032, 4522, 949, 7369, 519, 3337, 540, 519, 10265, 454, 268, 8555, 704, 15482, 5516, 910, 14605, 19034, 5959, 13123, 267, 10824, 267, 25329, 543, 31750, 949, 7369, 519, 3337, 610, 10066, 540, 519, 10265, 454, 268, 28864, 910, 24407, 547, 519, 5023, 610, 3068, 949, 1689, 519, 12972, 610, 3337, 540, 519, 10265, 454, 268, 3733, 1993, 23341, 20409, 328, 2293, 910, 1454, 899, 538, 519, 2013, 540, 3765, 7955, 539, 4522, 267, 12675, 14853, 647, 9535, 267, 11480, 8023, 543, 31390, 8595, 946, 949, 1291, 547, 11095, 2242, 538, 519, 3337, 540, 519, 5023, 610, 10265, 454, 268, 570, 636, 2293, 910, 6084, 2293, 630, 18485, 23872, 543, 22480, 264, 538, 519, 5023, 610, 10265, 949, 1291, 547, 513, 1689, 538, 519, 2497, 610, 3337, 540, 519, 10265, 454, 1692, 568, 5689, 665, 2424, 543, 16700, 7955, 618, 7066, 730, 888, 27039, 593, 519, 2470, 267, 2014, 543, 10335, 540, 519, 3765, 7955, 618, 610, 4731, 665, 2424, 267, 1761, 5574, 4268, 269, 769, 930, 2665, 267, 2786, 2287, 4522, 949, 581, 4986, 811, 982, 513, 23815, 16369, 267, 865, 1100, 2126, 568, 2731, 2556, 267, 855, 538, 1866, 267, 2523, 1346, 538, 799, 519, 3765, 7955, 618, 610, 4731, 665, 2424, 568, 4049, 543, 5222, 1072, 610, 6197, 538, 930, 1259, 267, 2126, 568, 9090, 5227, 563, 288, 1297, 540, 2126, 3681, 616, 2139, 585, 3765, 7955, 539, 4522, 267, 1519, 25329, 267, 5694, 5447, 619, 267, 543, 1256, 5959, 2786, 2287, 6391, 269, 2368, 8320, 540, 4731, 665, 2424, 949, 13974, 581, 5701, 609, 25329, 547, 2953, 519, 2990, 540, 4522, 865, 607, 547, 1450, 519, 10265, 547, 1694, 811, 20354, 269, 4033, 1761, 5574, 585, 4731, 665, 2424, 1331, 519, 8851, 540, 4522, 547, 1930, 909, 2230, 538, 519, 10265, 267, 10265, 6391, 585, 18534, 12686, 610, 519, 18534, 12686, 540, 4522, 563, 6524, 1022, 1106, 540, 2126, 568, 9411, 883, 267, 707, 11290, 786, 1865, 2126, 3681, 609, 596, 952, 1022, 616, 2556, 267, 1761, 3902, 2798, 543, 1022, 3606, 2188, 602, 949, 1764, 707, 3375, 269, 0, 10429, 367, 30678, 892, 418, 493, 493, 19540, 503, 12255, 27730, 26033, 479, 27747, 486, 7511, 28098, 13644, 507, 2108, 7511, 420, 489, 365, 13644, 511, 30853, 24757, 418, 357, 350, 23521, 379, 273, 419, 363, 485, 8147, 30853, 24757, 30903, 502, 25203, 362, 16088, 27855, 513, 5188, 609, 513, 2979, 4116, 12486, 23284, 31284, 15159, 10429, 367, 30678, 418, 493, 493, 19540, 503, 12255, 27730, 26033, 479, 27747, 486, 7511, 28098, 13644, 507, 7511, 4970, 497, 10429, 360, 420, 489, 365, 13644, 511, 418, 357, 350, 23521, 379, 8147, 30006, 493, 419, 363, 485, 30853, 24757, 417, 507, 485, 20992, 418, 375, 350, 26166, 418, 357, 350, 23521, 379, 27747, 355, 419, 379, 375, 13644, 495, 25707, 421, 360, 502, 26166, 420, 489, 365, 13644, 511, 30853, 24757, 272, 16088, 27855, 513, 5188, 609, 513, 2979, 4116, 454, 7069, 2979, 4116, 594, 723, 513, 1360, 1434, 2979, 4116, 269, 1261, 568, 6004, 269, 18961, 563, 296, 899, 1864, 1360, 1454, 269, 594, 1589, 646, 568, 1360, 5100, 543, 16805, 269, 1879, 594, 7237, 930, 2042, 602, 594, 666, 1405, 4194, 267, 646, 2141, 2337, 803, 563, 296, 917, 621, 781, 711, 2653, 585, 1864, 547, 4001, 721, 971, 2352, 5396, 267, 865, 594, 786, 2119, 547, 1451, 621, 1134, 269, 11289, 596, 267, 6004, 269, 18961, 563, 2467, 729, 606, 3078, 14912, 6474, 713, 12784, 269, 1703, 729, 513, 8748, 14912, 6474, 1063, 938, 2979, 4116, 543, 2296, 4116, 713, 12784, 269, 634, 5956, 1310, 1362, 563, 6624, 1053, 14478, 519, 543, 1750, 1229, 585, 741, 3610, 269, 3767, 267, 938, 2979, 4116, 6004, 269, 9149, 3893, 519, 3440, 563, 3891, 729, 827, 547, 1780, 621, 547, 6004, 269, 15651, 896, 519, 11127, 269, 1879, 6004, 563, 313, 28702, 32357, 547, 3247, 1864, 267, 6004, 269, 9149, 3533, 5828, 1472, 543, 28520, 519, 3440, 883, 519, 11127, 609, 513, 4190, 1118, 5346, 8929, 269, 15526, 1750, 1229, 563, 296, 29860, 909, 543, 586, 8215, 267, 1256, 30534, 602, 594, 729, 513, 8004, 2875, 269, 634, 16311, 16768, 476, 2412, 3764, 269, 634, 1267, 729, 281, 519, 2979, 4116, 4465, 563, 5978, 2296, 4116, 729, 849, 1360, 6126, 269, 1358, 1767, 519, 1267, 729, 711, 519, 1034, 1271, 563, 296, 786, 2760, 7340, 519, 4116, 269, 5384, 4422, 676, 1932, 3728, 269, 594, 1616, 547, 581, 513, 1647, 1153, 2875, 538, 1250, 1362, 563, 296, 723, 513, 1434, 4116, 269, 4173, 2012, 568, 11809, 340, 2473, 8811, 14241, 269, 2701, 568, 1250, 2979, 4116, 563, 9515, 568, 1434, 693, 2979, 269, 2290, 1554, 267, 1082, 2979, 3610, 4280, 1200, 547, 3111, 269, 594, 4682, 547, 1200, 5604, 547, 2307, 1200, 563, 9515, 6045, 547, 803, 1360, 5402, 543, 5693, 269, 3733, 2979, 4116, 568, 1250, 1101, 4116, 267, 594, 786, 2760, 7340, 602, 594, 786, 2995, 1200, 281, 594, 2648, 596, 267, 596, 616, 1250, 4116, 267, 594, 993, 1360, 6126, 269, 0, 8368, 540, 12937, 454, 268, 476, 272, 269, 1548, 568, 513, 8909, 1404, 1572, 888, 268, 476, 273, 269, 1548, 1705, 5484, 808, 976, 517, 2161, 827, 9956, 888, 268, 476, 274, 269, 5808, 1767, 9956, 4941, 1148, 888, 268, 476, 275, 269, 5808, 568, 519, 4651, 540, 2296, 13357, 888, 268, 476, 276, 269, 5808, 1705, 5484, 808, 976, 517, 3310, 888, 268, 476, 277, 269, 4208, 729, 5484, 808, 976, 517, 12617, 7555, 909, 888, 268, 476, 278, 269, 12984, 5484, 808, 976, 517, 2828, 609, 9956, 888, 268, 476, 279, 269, 5808, 5206, 18792, 540, 1208, 2293, 888, 268, 476, 280, 269, 5808, 568, 519, 4651, 540, 18792, 540, 25654, 888, 268, 476, 1015, 269, 1548, 1281, 18792, 540, 1208, 2293, 1445, 593, 888, 268, 476, 1556, 269, 1548, 568, 2856, 18792, 888, 268, 476, 1321, 269, 1548, 568, 606, 1383, 540, 18792, 540, 2093, 888, 268, 476, 1724, 269, 1548, 568, 519, 2495, 540, 18792, 540, 26675, 888, 268, 476, 1691, 269, 5808, 1500, 18792, 888, 268, 476, 1428, 269, 1548, 568, 519, 9510, 18792, 888, 268, 476, 1626, 269, 1548, 568, 17127, 779, 2070, 593, 18792, 888, 268, 476, 1704, 269, 1548, 568, 1007, 543, 2025, 18792, 888, 268, 476, 1240, 269, 1548, 568, 519, 6305, 1445, 540, 2025, 18792, 888, 268, 476, 866, 269, 1548, 1281, 13357, 1611, 538, 5259, 888, 268, 476, 736, 269, 5808, 941, 1614, 1271, 5259, 15806, 888, 268, 476, 2641, 269, 5808, 616, 519, 1655, 15806, 888, 268, 476, 2420, 269, 5808, 568, 519, 1034, 4583, 5259, 1268, 888, 268, 476, 2537, 269, 1548, 568, 17127, 779, 6138, 888, 268, 476, 2190, 269, 1548, 616, 476, 274, 5013, 827, 17127, 888, 268, 476, 1839, 269, 1548, 568, 17127, 779, 4214, 540, 8788, 888, 268, 476, 2918, 269, 1548, 568, 519, 5207, 1434, 2687, 547, 17127, 888, 1432, 568, 513, 8909, 1404, 1572, 888, 307, 4048, 545, 558, 9037, 568, 513, 5339, 9135, 602, 24025, 3344, 540, 1312, 13249, 543, 13371, 3029, 269, 4107, 1419, 2938, 538, 10565, 3332, 267, 519, 2165, 666, 4766, 2901, 513, 13249, 1404, 799, 3568, 2614, 13371, 2609, 547, 1769, 523, 519, 2949, 7099, 610, 513, 3978, 1404, 609, 513, 6126, 10678, 563, 1432, 1705, 5484, 808, 976, 517, 2161, 827, 9956, 888, 19447, 10498, 21715, 1315, 1635, 681, 15477, 12224, 22542, 4629, 308, 311, 269, 17333, 1152, 1705, 5484, 808, 976, 517, 917, 9956, 267, 646, 1767, 646, 6068, 1864, 269, 9232, 296, 6068, 519, 812, 543, 798, 22632, 1010, 3965, 630, 10472, 2427, 31561, 520, 787, 264, 607, 1454, 607, 1022, 2223, 646, 5206, 538, 476, 14065, 280, 267, 1614, 1296, 1310, 9956, 779, 2669, 269, 1261, 849, 7301, 569, 22309, 1896, 4249, 267, 2523, 9232, 19878, 3780, 19332, 563, 8005, 1767, 9956, 4941, 1148, 888, 1103, 519, 5162, 540, 476, 14065, 279, 1700, 14065, 280, 267, 808, 976, 517, 1500, 513, 6972, 4663, 540, 4789, 543, 10430, 269, 2311, 835, 1448, 646, 6170, 1079, 4374, 607, 513, 16823, 540, 2278, 5261, 3220, 636, 12107, 540, 8316, 628, 528, 526, 523, 269, 808, 976, 517, 779, 1419, 1543, 1190, 2911, 729, 6592, 538, 4967, 676, 3220, 636, 12107, 267, 945, 20926, 808, 976, 517, 538, 3791, 16512, 1106, 269, 2334, 9956, 4941, 3203, 563, 8005, 568, 519, 4651, 540, 2296, 13357, 888, 306, 2684, 28965, 1411, 949, 899, 713, 5808, 568, 811, 1187, 14667, 610, 4856, 17383, 888, 8005, 1705, 5484, 808, 976, 517, 3310, 888, 297, 976, 517, 729, 513, 3020, 11193, 812, 269, 634, 968, 307, 11171, 540, 5484, 892, 8057, 909, 689, 519, 476, 14341, 271, 338, 267, 513, 1895, 540, 15023, 945, 29064, 2933, 6766, 676, 543, 1967, 832, 540, 808, 976, 517, 267, 3769, 7917, 4173, 4459, 543, 9400, 10753, 767, 864, 563, 3963, 729, 5484, 808, 976, 517, 12617, 7555, 909, 888, 763, 1249, 602, 808, 976, 517, 729, 12617, 538, 606, 20005, 2990, 729, 606, 16315, 540, 1010, 4389, 6381, 693, 519, 942, 540, 1010, 2669, 267, 4352, 621, 814, 849, 1044, 2854, 602, 646, 4280, 585, 513, 18205, 4010, 476, 1240, 6279, 4009, 689, 519, 16313, 543, 4607, 606, 20005, 18205, 547, 3514, 538, 519, 16761, 2230, 563, 24078, 5484, 808, 976, 517, 2828, 609, 9956, 888, 22746, 960, 4547, 808, 976, 517, 883, 15982, 7681, 609, 519, 3056, 2367, 540, 519, 1554, 269, 898, 568, 16990, 547, 1589, 602, 646, 729, 513, 3659, 540, 9956, 269, 769, 476, 14065, 277, 267, 519, 1032, 538, 799, 9956, 5747, 267, 808, 976, 517, 729, 1500, 10564, 31444, 622, 269, 1879, 646, 5747, 538, 476, 14321, 278, 267, 646, 729, 12617, 538, 606, 20005, 2990, 538, 31689, 30745, 563, 8005, 5206, 18792, 540, 1208, 2293, 888, 8005, 568, 519, 4651, 540, 18792, 540, 25654, 888, 24464, 6387, 1411, 949, 899, 713, 4208, 1705, 24981, 21098, 15608, 344, 888, 1432, 1281, 18792, 540, 1208, 2293, 1445, 593, 888, 763, 18792, 540, 1208, 2293, 568, 513, 9135, 540, 10565, 18792, 602, 6212, 593, 513, 1915, 610, 2039, 540, 3197, 267, 1142, 540, 7247, 15225, 1079, 610, 811, 936, 337, 4575, 7592, 610, 2048, 21065, 2293, 685, 602, 2531, 7149, 741, 7209, 267, 13821, 543, 2932, 563, 1432, 568, 2856, 18792, 888, 4467, 9037, 540, 14313, 284, 589, 18792, 538, 799, 519, 9644, 568, 1759, 593, 7214, 543, 11913, 3344, 540, 18792, 2864, 982, 2168, 18792, 269, 589, 12416, 4171, 8561, 568, 593, 519, 32692, 540, 2093, 267, 607, 30833, 538, 519, 4249, 540, 6723, 24527, 26396, 269, 3571, 4249, 6140, 7150, 1514, 9706, 11823, 2093 ]

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

[ 286, 594, 1611, 15069, 707, 6169, 568, 2484, 12863, 855, 594, 4941, 547, 2638, 594, 6956, 5265, 2483, 1432, 616, 891, 10053, 29162, 596, 2811, 13288, 547, 286, 594, 1589, 519, 6169, 568, 15528, 269, 1411, 991, 547, 1491, 513, 3970, 855, 602, 781, 5386, 269, 5213, 1405, 936, 6253, 1074, 713, 563, 279, 269, 630, 24314, 2022, 676, 1547, 332, 3430, 994, 296, 6415, 27378, 519, 1101, 2165, 593, 519, 2063, 1899, 568, 5921, 547, 581, 630, 321, 8584, 8358, 333, 607, 1134, 286, 630, 2254, 602, 621, 5540, 519, 1267, 538, 1022, 1259, 994, 280, 269, 630, 24314, 2022, 676, 2979, 2889, 325, 994, 1432, 616, 891, 10053, 29162, 596, 2811, 13288, 547, 286, 594, 1589, 519, 6169, 568, 15528, 269, 1411, 991, 547, 1491, 513, 3970, 855, 602, 781, 5386, 269, 5213, 1405, 936, 6253, 1074, 713, 563, 296, 729, 6158, 827, 6024, 543, 2241, 3252, 1373, 10053, 269, 1656, 9493, 1695, 267, 594, 993, 24057, 9722, 621, 267, 7064, 692, 2162, 13565, 6280, 6030, 692, 4811, 305, 8081, 12243, 692, 2171, 723, 513, 13085, 2319, 540, 811, 982, 476, 2568, 8081, 12243, 2818, 3168, 1310, 5717, 593, 634, 9906, 18740, 267, 4543, 547, 1118, 621, 513, 1187, 267, 2922, 543, 3730, 1747, 547, 13793, 856, 780, 1607, 8468, 568, 6462, 676, 912, 24993, 281, 4989, 476, 1015, 267, 476, 1001, 272, 454, 9213, 593, 570, 17876, 692, 2162, 1261, 13264, 909, 609, 803, 1317, 540, 1279, 3845, 692, 3086, 594, 6415, 3001, 547, 1010, 2749, 692, 2162, 2160, 1930, 2395, 692, 26607, 267, 476, 1839, 7325, 1412, 1240, 454, 273, 269, 2160, 540, 21207, 532, 5069, 454, 26607, 267, 476, 1839, 7325, 1412, 1240, 454, 274, 269, 25816, 26937, 1926, 2160, 454, 26607, 267, 476, 272, 4119, 1412, 1240, 454, 303, 3326, 454, 8196, 995, 2200, 692, 2162, 13174, 17072, 20171, 4808, 692, 8253, 2386, 1141, 547, 2022, 286, 3367, 519, 8242, 4808, 1934, 692, 2162, 1215, 547, 946, 5487, 307, 1410, 692, 16240, 4834, 519, 2653, 1259, 692, 2162, 5530, 6208, 540, 589, 265, 1053, 692, 12749, 4388, 689, 1053, 945, 723, 2907, 513, 1027, 741, 11400, 0, 258, 623, 15598, 273, 3848, 476, 276, 8791, 476, 274, 2871, 3660, 7335, 692, 394, 506, 24341, 395, 485, 10382, 14832, 15403, 24681, 394, 362, 692, 1691, 3852, 507, 14267, 15770, 476, 1001, 274, 1109, 263, 11027, 16708, 15403, 14832, 14668, 11027, 32703, 476, 275, 6543, 485, 16708, 32703, 14832, 15403, 10382, 3852, 374, 10382, 15403, 476, 277, 13179, 394, 362, 14832, 15770, 19084, 2020, 15836, 31330, 19031, 395, 484, 10382, 14832, 29111, 17385, 15770, 15403, 19084, 692, 303, 15598, 273, 3848, 476, 276, 8791, 476, 274, 692, 272, 780, 3071, 1693, 13090, 454, 529, 513, 3196, 602, 2164, 689, 3448, 5163, 1063, 3615, 269, 898, 454, 3071, 1693, 13090, 1492, 5163, 540, 3615, 610, 7252, 780, 273, 780, 3071, 1693, 13090, 13322, 1693, 13090, 568, 692, 1492, 4187, 2813, 950, 1079, 7252, 13472, 454, 659, 1484, 835, 1776, 780, 274, 780, 3071, 1693, 13090, 13322, 1693, 13090, 568, 513, 1826, 540, 11508, 602, 8952, 1079, 7252, 689, 454, 16435, 4575, 2066, 1142, 824, 780, 275, 780, 1432, 3123, 11508, 1063, 1079, 5347, 267, 3819, 7252, 971, 607, 513, 21312, 4216, 454, 663, 513, 454, 6229, 523, 3349, 2496, 276, 780, 763, 3196, 540, 11508, 9117, 593, 513, 2627, 2141, 2798, 13322, 1693, 13090, 547, 519, 4287, 454, 1993, 5163, 540, 602, 2627, 780, 277, 780, 1805, 1738, 11508, 6411, 547, 1832, 606, 1843, 693, 1964, 689, 13322, 1693, 13090, 13322, 1693, 13090, 454, 3071, 1693, 13090, 780, 278, 780, 20228, 4575, 11508, 568, 692, 320, 3196, 602, 759, 1235, 519, 5163, 540, 606, 1843, 602, 568, 13322, 1693, 13090, 454, 3071, 1693, 13090, 780, 279, 780, 13420, 10329, 568, 2813, 950, 513, 4216, 568, 14593, 2066, 519, 6989, 693, 3586, 3432, 267, 1317, 454, 1492, 3196, 596, 4019, 547, 7903, 519, 4216, 666, 26118, 519, 5706, 633, 3196, 540, 13322, 30668, 454, 29390, 3071, 1693, 13090, 780, 280, 780, 22428, 596, 723, 547, 7903, 513, 5230, 4216, 2407, 540, 2835, 2066, 707, 4928, 6989, 269, 6904, 454, 529, 811, 2352, 454, 734, 454, 1729, 1205, 621, 3001, 610, 547, 1832, 621, 3001, 286, 4208, 2496, 1015, 780, 16100, 693, 454, 293, 454, 2682, 476, 276, 269, 866, 593, 2985, 476, 15686, 269, 634, 1482, 1079, 7252, 616, 23510, 2066, 1142, 824, 538, 454, 18485, 5961, 269, 4208, 568, 621, 811, 2352, 547, 7485, 519, 1957, 2066, 519, 3349, 950, 519, 15839, 568, 454, 31419, 593, 1283, 2496, 1556, 780, 22428, 596, 17784, 519, 2597, 540, 513, 4216, 602, 596, 616, 23510, 2066, 519, 6989, 269, 1548, 454, 327, 1952, 839, 547, 519, 11508, 3196, 1063, 519, 4216, 543, 6989, 2496, 1321, 780, 288, 5714, 454, 4310, 547, 2569, 11508, 1063, 1079, 7252, 568, 1572, 513, 13322, 1693, 13090, 780, 1724, 780, 30761, 26971, 1689, 13322, 1693, 13090, 5163, 883, 13322, 1693, 13090, 5163, 267, 799, 454, 13757, 1454, 1447, 11508, 780, 1691, 780, 23737, 875, 513, 4012, 4582, 5721, 6971, 11508, 780, 1428, 780, 23737, 538, 707, 1378, 1913, 875, 535, 878, 454, 5406, 568, 3730, 585, 835, 540, 891, 3156, 281, 30158, 2676, 339, 790, 1374, 267, 18969, 267, 610, 1579, 730, 10887, 269, 0, 13043, 7021, 6503, 786, 581, 1524, 585, 5826, 585, 5111, 476, 274, 3108, 267, 4358, 11728, 10543, 630, 6187, 270, 2190, 270, 1001, 274, 264, 693, 5111, 476, 280, 281, 876, 6751, 8109, 942, 630, 7473, 290, 268, 275, 6393, 273, 12995, 1560, 692, 296, 3893, 3230, 337, 8443, 288, 32390, 8079, 315, 19008, 476, 275, 25490, 346, 273, 348, 678, 10490, 264, 678, 16360, 1040, 9681, 2005, 568, 2539, 982, 1269, 279, 259, 855, 1869, 2362, 982, 519, 8580, 15802, 1269, 290, 3709, 333, 337, 13157, 275, 16859, 296, 1031, 519, 1739, 5013, 1384, 1892, 1280, 3339, 630, 328, 4318, 269, 1269, 311, 317, 265, 311, 284, 18958, 317, 265, 259, 264, 14290, 649, 723, 1269, 337, 11583, 21174, 18406, 318, 272, 11583, 7751, 630, 1492, 4102, 13737, 1871, 540, 2473, 6393, 1892, 4399, 18406, 318, 272, 11583, 312, 25286, 311, 9385, 19008, 476, 273, 1422, 18406, 318, 272, 11583, 9385, 18406, 318, 272, 263, 312, 22491, 1892, 4746, 267, 4063, 602, 585, 1269, 311, 259, 543, 1269, 312, 259, 1200, 2466, 1014, 630, 328, 4318, 269, 1269, 311, 317, 265, 284, 2473, 259, 543, 1269, 312, 317, 265, 815, 962, 259, 3738, 649, 723, 692, 2330, 337, 11583, 266, 328, 312, 264, 1422, 28254, 1422, 10946, 13375, 7268, 18406, 318, 272, 11583, 1070, 315, 18406, 318, 272, 263, 312, 9385, 2431, 1070, 2330, 3230, 337, 11583, 266, 328, 312, 264, 1422, 19008, 1422, 6912, 3189, 18406, 318, 272, 317, 273, 11583, 264, 1341, 1422, 18406, 318, 272, 317, 273, 263, 312, 14587, 269, 9681, 299, 1115, 31693, 1269, 288, 259, 543, 1269, 289, 259, 538, 741, 1200, 2466, 1014, 543, 4550, 615, 2466, 1014, 2694, 267, 3230, 288, 815, 589, 20189, 1341, 1775, 589, 19963, 267, 1422, 15153, 645, 284, 645, 10734, 266, 328, 645, 20189, 266, 328, 645, 19963, 269, 9681, 10190, 3230, 337, 317, 273, 8443, 288, 32390, 8079, 1422, 19008, 1422, 3847, 263, 1422, 18406, 318, 272, 8443, 288, 20189, 32390, 20189, 316, 268, 314, 288, 19963, 32390, 19963, 8079, 315, 2431, 8203, 273, 1341, 1422, 3847, 263, 1422, 18406, 318, 272, 8443, 288, 20189, 32390, 19963, 316, 268, 314, 288, 19963, 32390, 20189, 8079, 315, 2431, 8203, 273, 2330, 29178, 318, 272, 8443, 288, 20189, 32390, 19963, 27994, 314, 288, 19963, 32390, 20189, 8079, 315, 2431, 8203, 273, 315, 19008, 13375, 263, 476, 273, 315, 18406, 318, 272, 10490, 20189, 9385, 18406, 318, 272, 16360, 20189, 11924, 273, 315, 18406, 318, 272, 10490, 19963, 9385, 18406, 318, 272, 16360, 19963, 264, 1422, 2431, 8203, 273, 1341, 1422, 3847, 263, 476, 273, 315, 18406, 318, 272, 10490, 20189, 9385, 18406, 318, 272, 16360, 19963, 11924, 273, 315, 18406, 318, 272, 10490, 19963, 9385, 18406, 318, 272, 16360, 20189, 264, 1422, 2431, 8203, 273, 284, 275, 630, 1422, 18406, 318, 272, 317, 273, 10490, 20189, 264, 1341, 1422, 18406, 318, 272, 317, 273, 10490, 19963, 264, 3738, 263, 1422, 18406, 318, 272, 317, 273, 16360, 20189, 264, 1341, 1422, 18406, 318, 272, 317, 273, 16360, 19963, 264, 3738, 1341, 1626, 1422, 18406, 318, 272, 10490, 20189, 264, 1422, 18406, 318, 272, 10490, 19963, 264, 1422, 18406, 318, 272, 16360, 20189, 264, 1422, 18406, 318, 272, 16360, 19963, 9385, 19008, 476, 279, 263, 1422, 18406, 318, 272, 317, 273, 10490, 20189, 264, 1341, 1422, 18406, 318, 272, 317, 273, 10490, 19963, 264, 3738, 263, 1422, 18406, 318, 272, 317, 273, 16360, 20189, 264, 1341, 1422, 18406, 318, 272, 317, 273, 16360, 19963, 264, 3738, 315, 19008, 476, 3953, 678, 317, 273, 10490, 264, 337, 317, 273, 16360, 1040, 2330, 272, 594, 3893, 2330, 337, 8443, 288, 32390, 8079, 315, 19008, 476, 275, 25490, 346, 273, 348, 678, 10490, 264, 678, 16360, 1040, 2330, 2005, 568, 2539, 982, 476, 279, 855, 1869, 2362, 982, 519, 8580, 15802, 595, 3709, 333, 337, 13157, 275, 269, 594, 1031, 519, 1739, 5013, 281, 3040, 1280, 3339, 630, 328, 4318, 269, 2473, 317, 265, 311, 284, 18958, 317, 265, 264, 14290, 649, 723, 678, 11583, 21174, 18406, 318, 272, 11583, 264, 630, 1492, 4102, 13737, 1871, 540, 2473, 1040, 3040, 1422, 18406, 318, 272, 11583, 312, 25286, 311, 9385, 19008, 476, 273, 1422, 18406, 318, 272, 11583, 9385, 18406, 318, 272, 263, 312, 264, 3040, 4746, 267, 4063, 602, 585, 2473, 543, 962, 1200, 2466, 1014, 630, 328, 4318, 269, 2473, 317, 265, 284, 2473, 543, 962, 317, 265, 815, 962, 3738, 649, 723, 2330, 337, 11583, 266, 328, 312, 264, 1422, 28254, 1422, 10946, 13375, 7268, 18406, 318, 272, 11583, 1070, 315, 18406, 318, 272, 263, 312, 9385, 2431, 1070, 337, 11583, 266, 328, 312, 264, 1422, 19008, 1422, 6912, 3189, 18406, 318, 272, 317, 273, 11583, 264, 1341, 1422, 18406, 318, 272, 317, 273, 263, 312, 14587, 269, 2330, 299, 1115, 31693, 589, 543, 645, 538, 741, 1200, 2466, 1014, 543, 4550, 615, 2466, 1014, 2694, 267, 2330, 288, 815, 589, 20189, 1341, 1775, 589, 19963, 267, 1422, 15153, 645, 284, 645, 10734, 266, 328, 645, 19963, 269, 2330, 10190, 2330, 337, 317, 273, 8443, 288, 32390, 8079, 1422, 19008, 1422, 3847, 263, 1422, 18406, 318, 272, 8443, 288, 20189, 32390, 20189, 316, 268, 314, 288, 19963, 32390, 19963, 8079, 315, 2431, 8203, 273, 1341, 1422, 3847, 263, 1422, 18406, 318, 272, 8443, 288, 20189, 32390, 19963, 316, 268, 314, 288, 19963, 32390, 20189, 8079, 315, 2431, 8203, 273, 315, 19008, 13375, 263, 476, 273, 315, 18406, 318, 272, 10490, 20189, 9385, 18406, 318, 272, 16360, 20189, 11924, 273, 315, 18406, 318, 272, 10490, 19963, 9385, 18406, 318, 272, 16360, 19963, 264, 1422, 2431, 8203, 273, 1341, 1422, 3847, 263, 476, 273, 315, 18406, 318, 272, 10490, 20189, 9385, 18406, 318, 272, 16360, 19963, 11924, 273, 315, 18406, 318, 272, 10490, 19963, 9385, 18406, 318, 272, 16360, 20189, 264, 1422, 2431, 8203, 273, 284, 275, 630, 1422, 18406, 318, 272, 317, 273, 10490, 20189, 264, 1341, 1422, 18406, 318, 272, 317, 273, 10490, 19963, 264, 3738, 263, 1422, 18406, 318, 272, 317, 273, 16360, 20189, 264, 1341, 1422, 18406, 318, 272, 317, 273, 16360, 19963, 264, 3738, 1341, 1626, 1422, 18406, 318, 272, 10490, 20189, 264, 1422, 18406, 318, 272, 10490, 19963, 264, 1422, 18406, 318, 272, 16360, 20189, 264, 1422, 18406, 318, 272, 16360, 19963, 9385, 19008, 476, 279, 263, 1422, 18406, 318, 272, 317, 273, 10490, 20189, 264, 1341, 1422, 18406, 318, 272, 317, 273, 10490, 19963, 264, 3738, 263, 1422, 18406, 318, 272, 317, 273, 16360, 20189, 264, 1341, 1422, 18406, 318, 272, 317, 273, 16360, 19963, 264, 3738, 315, 19008, 476, 3953, 678, 317, 273, 10490, 264, 337, 317, 273, 16360, 1040, 0, 258, 4855, 519, 3830, 540, 519, 2786, 1899, 799, 10596, 998, 519, 1448, 630, 476, 274, 267, 910, 275, 264, 543, 2348, 9386, 476, 274, 270, 273, 1109, 265, 320, 264, 476, 274, 343, 1107, 476, 275, 344, 1107, 1704, 25883, 8340, 519, 3830, 540, 519, 2786, 1899, 799, 10596, 998, 519, 1448, 630, 476, 274, 267, 910, 275, 264, 543, 2348, 9386, 476, 274, 270, 273, 1109, 22177, 320, 264, 476, 274, 343, 1107, 476, 275, 344, 1107, 1704, 815 ]

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

[ 851, 540, 519, 5850, 3294, 543, 616, 10274, 547, 519, 1292, 4245, 602, 789, 991, 547, 1451, 269, 4595, 891, 5049, 666, 581, 3833, 7199, 267, 513, 14949, 4244, 568, 6157, 1360, 1454, 10950, 269, 589, 811, 10097, 543, 1256, 1863, 4244, 547, 1265, 873, 568, 519, 5769, 269, 769, 519, 5769, 835, 666, 1265, 1169, 2009, 2296, 8239, 4976, 602, 568, 2139, 585, 1004, 945, 616, 1565, 519, 2296, 1893, 563, 13775, 693, 14349, 267, 5147, 476, 1839, 628, 476, 1708, 271, 267, 476, 5400, 281, 6021, 281, 6872, 7537, 269, 2296, 6096, 1635, 1520, 686, 2940, 6742, 710, 345, 269, 20677, 31524, 8018, 910, 898, 568, 1271, 547, 917, 1141, 596, 616, 20019, 269, 1924, 267, 11423, 856, 513, 4747, 9477, 4976, 786, 798, 1175, 602, 269, 901, 568, 513, 4976, 1141, 596, 1747, 782, 540, 707, 4747, 269, 1403, 596, 616, 9310, 610, 723, 513, 7649, 602, 8309, 547, 707, 10865, 18083, 581, 2386, 547, 1331, 741, 4747, 607, 1134, 269, 8307, 2322, 5781, 9648, 4747, 593, 713, 4976, 971, 607, 2834, 2628, 3832, 4242, 267, 1126, 1489, 543, 620, 574, 3415, 269, 1684, 711, 1331, 13755, 4926, 610, 824, 12150, 4747, 269, 0, 297, 984, 28428, 267, 3339, 543, 4890, 28428, 269, 2549, 525, 12064, 14716, 7011, 956, 10821, 8075, 269, 898, 3096, 513, 2816, 21057, 532, 1062, 609, 1079, 1463, 21057, 6688, 630, 29715, 2326, 543, 1463, 4074, 264, 543, 835, 9940, 21057, 7535, 630, 553, 12273, 1489, 1040, 6034, 4074, 3620, 2293, 568, 519, 14305, 3490, 585, 10198, 1489, 3790, 269, 769, 5412, 476, 1001, 271, 267, 2549, 525, 12064, 23348, 476, 1001, 272, 10198, 23418, 677, 3790, 547, 581, 1269, 279, 267, 4968, 267, 1822, 543, 476, 1001, 272, 1463, 4074, 3620, 2293, 547, 581, 476, 14917, 267, 1822, 269, 2311, 519, 1439, 540, 476, 1001, 272, 267, 2549, 525, 12064, 568, 9236, 519, 3790, 540, 1896, 6009, 602, 941, 3323, 543, 6192, 538, 476, 1001, 272, 563, 17445, 1570, 3790, 454, 17445, 4074, 3790, 454, 17445, 2326, 543, 1463, 4074, 616, 6976, 585, 593, 513, 4579, 4493, 269, 634, 3790, 540, 1142, 616, 1634, 950, 1463, 2326, 616, 1031, 610, 950, 1463, 4074, 3620, 2293, 616, 5249, 269, 634, 476, 1001, 272, 4890, 10198, 23418, 677, 3790, 941, 1269, 277, 267, 26392, 267, 1822, 267, 543, 519, 4890, 1463, 4074, 3620, 2293, 941, 476, 14321, 267, 1822, 563, 272, 269, 30770, 519, 630, 320, 264, 6578, 539, 9940, 21057, 2557, 543, 630, 321, 264, 4890, 9940, 21057, 2557, 269, 4208, 798, 789, 8428, 286, 22490, 454, 273, 269, 1548, 616, 519, 2816, 3790, 540, 519, 20698, 10044, 7844, 543, 519, 17030, 7844, 1210, 630, 320, 264, 3339, 28428, 543, 630, 321, 264, 4890, 28428, 888, 274, 269, 4208, 1522, 2549, 525, 12064, 14716, 4782, 3339, 28428, 936, 4890, 28428, 286, 0, 290, 20975, 281, 8551, 1299, 9177, 454, 23208, 5638, 5815, 602, 1739, 519, 11135, 540, 853, 2292, 15880, 267, 930, 7980, 941, 12617, 538, 513, 2527, 18205, 540, 1018, 3357, 547, 581, 1634, 607, 8055, 781, 12928, 3326, 269, 2201, 2904, 476, 274, 267, 476, 5002, 279, 267, 606, 1858, 1634, 607, 519, 22307, 1512, 779, 18140, 693, 8055, 779, 12928, 3326, 729, 13394, 3603, 543, 676, 476, 4489, 271, 267, 513, 6149, 1309, 597, 333, 543, 18533, 540, 513, 17794, 941, 8704, 269, 2201, 4864, 476, 272, 267, 476, 4489, 271, 267, 513, 16008, 729, 4371, 547, 1665, 519, 21048, 4979, 540, 519, 23193, 779, 31790, 630, 553, 621, 3357, 547, 581, 1572, 264, 693, 8055, 779, 12928, 3326, 607, 513, 18189, 547, 519, 7980, 945, 10692, 538, 519, 11135, 540, 853, 2292, 15880, 563, 10619, 3751, 9335, 4639, 2676, 1805, 2292, 15880, 267, 14411, 267, 700, 279, 294, 476, 272, 295, 278, 454, 2791, 949, 849, 581, 5461, 538, 2483, 289, 12864, 3084, 543, 3486, 3536, 689, 936, 476, 2568, 2344, 21527, 563, 291, 633, 883, 4832, 593, 519, 24528, 540, 8235, 14411, 693, 16803, 779, 30856, 1216, 335, 1046, 4586, 18439, 519, 10167, 540, 1148, 543, 29426, 6891, 593, 19258, 517, 9335, 256, 0, 763, 13540, 476, 28360, 273, 300, 326, 814, 513, 8953, 540, 5111, 476, 274, 269, 4649, 535, 332, 269, 6904, 540, 519, 1739, 22140, 814, 513, 8953, 5111, 7466, 607, 1804, 888, 293, 264, 9039, 540, 519, 1657, 4267, 454, 21761, 18542, 5999, 454, 1432, 3621, 1523, 798, 596, 991, 547, 917, 538, 1931, 547, 4194, 713, 1966, 888, 5978, 21493, 723, 8612, 602, 547, 4194, 713, 1966, 596, 786, 991, 547, 4019, 519, 26994, 12856, 1523, 269, 1411, 666, 2070, 3381, 4245, 547, 1451, 26994, 12856, 269, 2107, 952, 596, 991, 811, 26994, 12856, 2259, 267, 596, 666, 849, 2259, 26994, 12856, 2259, 2042, 563, 1692, 1279, 1281, 713, 1966, 1491, 547, 4194, 888, 5978, 4274, 8212, 20131, 267, 19958, 3576, 476, 275, 3764, 543, 476, 4510, 7643, 547, 4194, 713, 1966, 269, 1411, 666, 1246, 741, 3268, 538, 519, 3381, 7778, 1657, 269, 0, 23945, 2659, 16731, 454, 13425, 519, 1699, 4365, 689, 519, 2817, 16661, 6796, 693, 4179, 2517, 4178, 269, 933, 1430, 10993, 270, 563, 763, 7414, 7909, 814, 513, 2178, 3310, 593, 4365, 2175, 269, 11354, 5503, 8436, 547, 16410, 18115, 334, 2817, 31790, 1058, 581, 5423, 585, 3579, 267, 2842, 344, 267, 543, 20893, 4445, 2175, 267, 1256, 952, 621, 568, 13566, 267, 3905, 267, 543, 3819, 2417, 24654, 269, 1323, 936, 4751, 7286, 4494, 666, 1020, 2282, 519, 5032, 693, 1022, 942, 540, 1032, 267, 855, 713, 7613, 568, 1034, 1455, 1282, 519, 3735, 5614, 543, 2038, 4832, 269, 16511, 1023, 1289, 891, 2053, 834, 9802, 22630, 257, 543, 834, 18907, 3794, 7112, 1701, 15154, 540, 18644, 5842, 17630, 781, 17822, 547, 561, 10270, 538, 519, 14246, 540, 3141, 1532, 8898, 5070, 286, 1411, 3513, 4440, 1616, 547, 4123, 519, 7669, 338, 3726, 585, 513, 4418, 1846, 327, 7398, 543, 27890, 267, 607, 31063, 22839, 20441, 543, 5210, 10355, 4473, 1657, 476, 3583, 5232, 269, 634, 26700, 281, 596, 666, 3640, 2476, 519, 16813, 22641, 553, 267, 1317, 972, 781, 2370, 4960, 540, 4764, 563, 25105, 327, 327, 327, 267, 4832, 538, 5842, 17630, 269, 2349, 1170, 995, 8436, 588, 2651, 519, 6288, 267, 519, 2011, 2699, 565, 550, 609, 519, 20416, 540, 24429, 269, 634, 2749, 21593, 5210, 538, 519, 476, 3199, 338, 1282, 5147, 543, 4864, 267, 855, 20893, 666, 5066, 538, 10393, 267, 4611, 538, 513, 2656, 6749, 538, 2837, 563, 16729, 519, 11733, 540, 519, 12405, 267, 5842, 17630, 5956, 23090, 1524, 538, 15489, 269, 14175, 568, 4686, 267, 22839, 616, 2312, 267, 543, 5210, 2356, 29964, 538, 519, 4571, 268, 3583, 338, 269, 12096, 568, 849, 519, 942, 950, 13244, 27118, 12798, 5734, 519, 10315, 269, 1452, 7542, 665, 1190, 12798, 875, 331, 538, 689, 519, 9390, 547, 519, 7532, 267, 8744, 10565, 2837, 4679, 630, 1485, 5503, 1164, 338, 666, 3533, 4473, 883, 519, 476, 3445, 338, 1070, 3905, 267, 3819, 2011, 267, 543, 12303, 1100, 11195, 563, 21776, 998, 5988, 568, 519, 24925, 4005, 1934, 267, 609, 669, 11035, 4365, 18651, 1206, 887, 2130, 1524, 689, 519, 13323, 540, 14522, 267, 12419, 3006, 8731, 1370, 658, 1524, 335, 2293, 543, 5210, 538, 519, 476, 2004, 338, 543, 476, 2568, 338, 269, 4495, 15420, 1847, 856, 267, 2705, 267, 519, 5784, 689, 16410, 18115, 334, 616, 2356, 519, 1655, 540, 519, 1032, 281, 519, 4764, 18274, 525, 519, 2011, 543, 2306, 585, 12627, 268, 27234, 31858, 24252, 563, 1432, 547, 23203, 454, 288, 1134, 1790, 10517, 1563, 21233, 547, 16410, 18115, 334, 2817, 31790, 786, 10571, 538, 6106, 1022, 942, 540, 1032, 547, 13918, 2242, 538, 4365, 2175, 267, 543, 786, 3314, 519, 24429, 543, 11058, 585, 13566, 2395, 281, 9381, 3141, 666, 581, 6505, 267, 1256, 593, 4411, 5162, 2395, 563, 8310, 8242, 281, 5181, 476, 1839, 267, 476, 1708, 271, 0, 1001, 273, 4563, 4248, 2817, 13812, 25083, 16316, 11068, 2914, 5793, 26267, 11752, 454, 1805, 3530, 543, 13538, 693, 4563, 4248, 2817, 13812, 25083, 630, 301, 29949, 264, 6707, 6192, 519, 25083, 779, 476, 3451, 6113, 5993, 4571, 2914, 5793, 23914, 5619, 593, 5130, 476, 275, 267, 476, 1001, 273, 269, 901, 4674, 3238, 476, 280, 9675, 5234, 543, 476, 3066, 13538, 269, 11752, 5171, 941, 4092, 2429, 519, 9675, 693, 6378, 8343, 4609, 585, 519, 1079, 12268, 630, 549, 739, 543, 1875, 268, 549, 739, 264, 5619, 269, 634, 1875, 268, 549, 739, 630, 332, 528, 940, 264, 1293, 3812, 513, 2698, 540, 476, 12739, 32608, 267, 540, 799, 476, 1911, 941, 2937, 24052, 32608, 267, 476, 3066, 941, 1799, 1155, 24052, 32608, 267, 543, 476, 4375, 941, 796, 30009, 32608, 269, 634, 887, 739, 630, 16838, 532, 264, 1293, 3812, 476, 15150, 32608, 267, 540, 799, 476, 11025, 941, 2937, 24052, 32608, 267, 476, 4649, 941, 1799, 1155, 24052, 32608, 267, 543, 476, 1704, 941, 796, 30009, 32608, 269, 634, 23914, 2551, 693, 4563, 4248, 715, 29949, 814, 1044, 20406, 2810, 267, 609, 13581, 15088, 267, 2094, 476, 2735, 271, 269, 634, 5207, 4571, 2914, 5793, 5619, 2338, 941, 1346, 538, 476, 1001, 272, 267, 609, 476, 6245, 32608, 585, 519, 1875, 268, 549, 739, 1293, 543, 476, 9965, 32608, 585, 519, 887, 739, 1293, 269, 901, 1032, 779, 2338, 941, 1524, 811, 982, 476, 1321, 260, 689, 519, 2338, 538, 476, 1001, 272, 630, 1721, 1312, 13980, 1070, 855, 1164, 538, 6476, 609, 4505, 1296, 269, 2201, 519, 1554, 540, 713, 1032, 779, 1293, 5210, 941, 3328, 585, 513, 3339, 1032, 267, 1472, 476, 2767, 13790, 267, 855, 519, 5162, 2949, 814, 1044, 7646, 269, 634, 13581, 6175, 538, 23914, 2338, 713, 5162, 949, 723, 1044, 3361, 676, 7187, 5017, 711, 4955, 7992, 713, 2484, 5045, 269, 0, 6524, 649, 1376, 6158, 827, 1788, 2359, 7084, 267, 519, 1101, 3364, 602, 649, 991, 547, 798, 568, 547, 1174, 1018, 568, 519, 4890, 2495, 540, 5741, 2359, 888, 15368, 1227, 267, 1788, 2359, 568, 519, 2500, 946, 540, 1983, 267, 2645, 267, 1702, 543, 4480, 865, 602, 519, 4170, 540, 519, 1788, 616, 12913, 563, 4913, 519, 7986, 8984, 602, 30193, 5741, 2359, 689, 2359, 568, 602, 568, 814, 513, 13113, 5838, 762, 538, 513, 13113, 942, 12732, 269, 9521, 1788, 2359, 267, 2359, 568, 606, 5571, 1184, 269, 1677, 4163, 856, 1788, 2359, 7084, 1053, 991, 547, 723, 513, 2647, 2039, 540, 2930, 543, 2359, 1983, 563, 1607, 1576, 540, 1788, 2359, 5161, 540, 4058, 267, 30070, 543, 9013, 519, 2200, 538, 1931, 547, 1205, 13854, 3853, 269, 634, 2165, 968, 2889, 915, 892, 538, 1788, 2359, 568, 519, 7736, 324, 822, 712, 602, 814, 513, 5618, 4098, 543, 519, 1439, 799, 568, 6045, 547, 2743, 519, 9072, 543, 922, 6859, 540, 519, 1788, 5004, 563, 763, 1788, 2359, 568, 519, 1034, 2838, 9744, 799, 568, 1031, 676, 519, 1053, 269, 769, 1034, 540, 519, 6080, 519, 1788, 2359, 568, 547, 2838, 13567, 891, 2395, 269, 901, 568, 519, 2601, 3297, 1896, 1053, 5275, 948, 538, 741, 1788, 2359, 7084, 269, 31598, 513, 1788, 2359, 2875, 22316, 547, 6443, 519, 9872, 607, 513, 1788, 9614, 865, 602, 646, 610, 1352, 666, 3132, 538, 2178, 1344, 543, 519, 5578, 538, 519, 1896, 5933, 540, 519, 1788, 2359, 563, 2467, 616, 1585, 2101, 2127, 540, 5741, 2359, 2705, 649, 786, 1865, 930, 540, 873, 799, 786, 948, 596, 609, 707, 1788, 2359, 7084, 269, 1284, 723, 5018, 513, 1592, 540, 891, 2127, 2630, 5225, 979, 998, 891, 547, 723, 513, 538, 3829, 1702, 540, 519, 1641, 912, 2005, 3322, 2090, 1644, 547, 519, 8446, 540, 4220, 543, 1246, 621, 909, 609, 3527, 543, 3664, 3144, 25656, 538, 1870, 269, 1403, 649, 2911, 827, 1981, 1287, 621, 666, 581, 513, 1826, 540, 3463, 267, 3656, 15668, 1788, 610, 20982, 8936, 267, 3092, 563, 2005, 10416, 5252, 919, 513, 2318, 10639, 540, 519, 1870, 10909, 1282, 16839, 609, 519, 946, 540, 2757, 2923, 543, 1514, 2923, 269, 2060, 519, 948, 540, 713, 649, 666, 5968, 547, 513, 2527, 540, 1004, 693, 513, 1482, 1448, 540, 942, 563, 19968, 2359, 568, 519, 1034, 1271, 1858, 538, 2359, 2090, 267, 898, 2337, 538, 2870, 519, 3490, 585, 4509, 563, 15368, 1227, 621, 782, 665, 919, 1114, 2359, 2043, 547, 2743, 519, 3853, 676, 6388, 543, 19862, 540, 3664, 563, 2005, 5631, 814, 513, 2101, 1909, 538, 519, 2344, 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, 18411, 15647, 271, 2433, 630, 17432, 357, 424, 486, 502, 10563, 508, 495, 424, 482, 365, 264, 10563, 505, 494, 14602, 502, 14091, 482, 497, 27338, 454, 17432, 357, 424, 486, 502, 423, 359, 483, 2433, 5858, 454, 423, 356, 353, 32174, 506, 14091, 367, 478, 424, 486, 502, 263, 12407, 2678, 264, 2433, 423, 364, 502, 424, 356, 478, 423, 355, 482, 16868, 264, 14602, 482, 14091, 480, 502, 425, 481, 478, 423, 480, 368, 32629, 498, 10563, 510, 499, 424, 486, 502, 425, 502, 499, 17301, 264, 14091, 367, 478, 424, 486, 502, 476, 272, 32174, 506, 454, 423, 364, 502, 425, 503, 502, 29030, 502, 499, 263, 8873, 1826, 264, 2433, 10563, 489, 353, 424, 486, 502, 425, 502, 499, 263, 15615, 994, 17432, 357, 424, 486, 502, 14091, 480, 368, 424, 504, 358, 2433, 10563, 505, 494, 14602, 502, 14091, 482, 497, 27338, 423, 354, 376, 21844, 369, 361, 17432, 502, 32629, 498, 476, 17432, 357, 424, 486, 502, 21844, 369, 361, 425, 502, 482, 630, 424, 505, 494, 14602, 502, 14091, 482, 497, 27338, 815, 476, 274, 269, 1691, 9943, 337, 9943, 337, 994, 18411, 3698, 5858, 16868, 2187, 825, 2132, 1412, 260, 271, 269, 273, 325, 262, 4939, 263, 274, 269, 1691, 265, 337, 265, 337, 2020, 337, 815, 703, 9272, 15405, 2745, 6262, 22511, 16868, 4297, 0, 18411, 10482, 5400, 281, 10563, 499, 490, 425, 490, 490, 423, 366, 367, 21844, 364, 506, 424, 486, 502, 692, 423, 361, 372, 32510, 506, 912, 424, 499, 490, 425, 490, 490, 423, 366, 367, 10563, 484, 490, 423, 361, 372, 28990, 494, 423, 350, 506, 423, 356, 490, 10563, 507, 368, 423, 352, 357, 424, 500, 368, 424, 356, 482, 14091, 489, 357, 424, 500, 368, 590, 32174, 478, 10563, 352, 376, 424, 500, 368, 424, 356, 482, 30319, 269, 21844, 364, 479, 10563, 499, 490, 425, 490, 490, 423, 366, 367, 27338, 14091, 489, 357, 424, 500, 368, 29306, 494, 14091, 359, 485, 21844, 364, 506, 32174, 478, 29030, 493, 361, 17432, 357, 423, 494, 502, 424, 500, 368, 10563, 508, 486, 32629, 498, 424, 356, 478, 21844, 369, 361, 17432, 502, 32629, 498, 29030, 498, 482, 423, 350, 506, 422, 371, 372, 423, 508, 357, 14602, 482, 10563, 508, 495, 424, 482, 365, 17432, 502, 424, 489, 506, 424, 502, 353, 780, 28990, 483, 423, 510, 354, 912, 424, 366, 360, 424, 356, 372, 10563, 353, 482, 29306, 494, 14091, 489, 357, 424, 500, 368, 590, 32174, 478, 10563, 352, 376, 424, 500, 368, 424, 356, 482, 30319, 269, 14091, 489, 357, 424, 500, 368, 14602, 502, 21844, 372, 372, 27338, 32629, 498, 476, 1911, 14602, 482, 14091, 482, 502, 424, 356, 478, 10563, 499, 488, 424, 506, 376, 423, 358, 364, 267, 10563, 499, 490, 425, 490, 490, 423, 366, 367, 10563, 484, 490, 423, 361, 372, 28990, 494, 423, 350, 506, 423, 356, 490, 10563, 507, 368, 423, 352, 357, 424, 500, 368, 32510, 372, 10563, 508, 486, 30319, 780, 424, 370, 506, 423, 510, 354, 912, 21498, 357, 424, 500, 368, 29306, 494, 29030, 493, 361, 17432, 357, 423, 494, 502, 424, 500, 368, 10563, 508, 486, 32629, 498, 513, 14602, 502, 21844, 364, 506, 424, 486, 502, 267, 536, 14602, 502, 21844, 364, 506, 424, 486, 502, 267, 2560, 267, 1990, 14602, 502, 21844, 364, 506, 424, 486, 502, 423, 354, 376, 21844, 367, 369, 423, 364, 365, 424, 506, 376, 423, 350, 506, 21844, 369, 361, 423, 370, 482, 17432, 368, 424, 482, 506, 10563, 370, 506, 423, 510, 354, 17432, 506, 30319, 563, 18411, 5320, 815, 3403, 4590, 24987, 815, 11713, 531, 8224, 815, 18358, 320, 12887, 321, 12887, 322, 12887, 323, 12887, 324, 12887, 325, 12887, 326, 12887, 327, 12887, 328, 12887, 329, 12887, 330, 12887, 331, 12887, 332, 12887, 333, 12887, 334, 12887, 335, 12887, 336, 12887, 337, 12887, 338, 12887, 339, 12887, 340, 12887, 341, 12887, 342, 12887, 343, 12887, 344, 12887, 345, 23300, 1721, 513, 538, 9904, 912, 825, 2626, 6910, 27182, 29644, 5416, 4917, 1721, 1775, 538, 2626, 912, 825, 1820, 9217, 267, 1439, 815, 1412, 30386, 0, 18411, 13670, 277, 2433, 10563, 480, 361, 32174, 479, 425, 502, 499, 10563, 370, 506, 423, 510, 354, 17432, 502, 422, 372, 364, 476, 273, 454, 422, 372, 372, 27338, 562, 27338, 10563, 508, 483, 423, 510, 354, 423, 494, 502, 423, 358, 368, 14091, 489, 353, 14602, 490, 422, 367, 376, 21844, 364, 503, 14602, 478, 10563, 480, 361, 32174, 479, 425, 502, 499, 14602, 482, 10563, 370, 506, 423, 510, 354, 17432, 506, 30319, 780, 424, 502, 486, 264, 333, 27338, 476, 276, 14602, 376, 423, 499, 490, 454, 7052, 20330, 265, 567, 27661, 265, 567, 27661, 265, 567, 27661, 7052, 20330, 18411, 333, 815, 703, 9272, 15405, 1721, 1775, 538, 2039, 263, 272, 267, 562, 266, 272, 2187, 825, 952, 9217, 2525, 272, 610, 1775, 2525, 333, 2187, 1038, 585, 795, 538, 2039, 263, 271, 19885, 2187, 2018, 1820, 2891, 265, 2580, 1439, 284, 3269, 994, 825, 3116, 912, 1038, 1820, 2891, 265, 2580, 1439, 284, 3269, 994, 1038, 585, 795, 538, 2039, 263, 271, 267, 562, 268, 273, 2187, 2018, 1820, 2891, 14307, 1439, 284, 3269, 994, 1038, 1820, 2891, 265, 2580, 1439, 284, 3269, 994, 825, 1820, 2891, 834, 264, 0, 18411, 423, 361, 372, 32510, 506, 281, 1535, 423, 356, 490, 425, 479, 376, 21844, 364, 482, 422, 366, 358, 27338, 10563, 508, 486, 32629, 498, 562, 32174, 506, 14602, 502, 10563, 486, 360, 28990, 494, 692, 423, 361, 372, 32510, 506, 10563, 482, 353, 423, 359, 483, 912, 17432, 357, 424, 486, 502, 3070, 14602, 478, 10563, 510, 499, 424, 486, 502, 1535, 424, 503, 478, 10563, 508, 494, 29306, 364, 424, 486, 502, 562, 14602, 482, 10563, 508, 483, 423, 510, 354, 14091, 364, 505, 424, 499, 482, 267, 1535, 423, 370, 478, 425, 482, 364, 10563, 489, 506, 28990, 495, 17432, 368, 1535, 424, 498, 358, 10563, 355, 507, 32174, 478, 17432, 502, 32629, 498, 10563, 486, 360, 28990, 494, 423, 354, 376, 562, 32174, 506, 10563, 356, 478, 21498, 486, 32629, 498, 14091, 355, 361, 424, 488, 353, 425, 488, 372, 423, 354, 376, 14091, 355, 361, 425, 482, 368, 17432, 368, 424, 499, 376, 476, 17432, 358, 21498, 486, 30319, 563, 30319, 14602, 490, 10563, 510, 506, 17432, 506, 10563, 350, 364, 422, 365, 368, 14602, 482, 14091, 367, 368, 422, 367, 510, 267, 10563, 350, 364, 422, 365, 368, 14602, 482, 14091, 356, 490, 424, 350, 365, 17432, 502, 32629, 498, 476, 17432, 357, 424, 486, 502, 267, 3070, 14602, 482, 10563, 503, 482, 424, 482, 365, 17432, 368, 424, 352, 376, 424, 482, 372, 424, 504, 498, 780, 32510, 506, 17432, 506, 10563, 350, 364, 422, 365, 368, 912, 272, 264, 1535, 32629, 498, 910, 1911, 1822, 876, 10563, 507, 368, 424, 481, 479, 267, 476, 1911, 1822, 876, 10563, 507, 368, 17432, 502, 14602, 372, 10563, 510, 499, 424, 486, 502, 28990, 483, 21498, 486, 30319, 563, 273, 264, 562, 14602, 478, 476, 1911, 271, 10563, 507, 368, 17432, 502, 14602, 372, 10563, 508, 494, 29306, 364, 424, 486, 502, 28990, 483, 21498, 486, 30319, 563, 18411, 3698, 3070, 3287, 267, 562, 2187, 825, 2132, 1496, 343, 265, 328, 585, 1775, 538, 2039, 263, 272, 267, 562, 266, 272, 264, 6540, 343, 267, 562, 815, 3403, 14061, 20889, 4590, 343, 815, 703, 3287, 994, 333, 815, 703, 3799, 2020, 2745, 4433, 1828, 3287, 267, 562, 4297, 0, 258, 5124, 5358, 547, 19467, 1079, 21594, 692, 258, 9577, 547, 19467, 1079, 21594, 454, 3698, 19467, 291, 5315, 5560, 1112, 272, 267, 9598, 273, 2567, 3097, 567, 2132, 5560, 1112, 273, 269, 26303, 5560, 1112, 272, 4297, 8528, 258, 30905, 3009, 3097, 323, 272, 815, 9598, 4590, 323, 273, 815, 9598, 4590, 11907, 815, 3403, 3488, 11767, 8745, 1299, 24305, 9674, 676, 834, 281, 257, 30386, 31184, 815, 1239, 21858, 3488, 281, 5073, 323, 272, 314, 31184, 314, 271, 14963, 815, 703, 6025, 11391, 314, 272, 7481, 1721, 1883, 267, 1871, 538, 546, 272, 29096, 10031, 567, 1820, 3488, 11243, 281, 2715, 9574, 24305, 281, 15079, 8339, 8971, 31107, 267, 1871, 11723, 11907, 815, 3403, 3488, 11767, 8745, 1299, 24305, 9674, 676, 834, 281, 257, 30386, 31184, 815, 1239, 21858, 3488, 281, 5073, 323, 273, 314, 31184, 314, 271, 14963, 815, 703, 6025, 11391, 314, 272, 7481, 1721, 1883, 267, 1871, 538, 546, 273, 29096, 10031, 567, 1820, 3488, 11243, 281, 2715, 9574, 24305, 281, 15079, 8339, 8971, 31107, 267, 1871, 11723, 258, 11910, 532, 19467, 1599, 454, 263, 1067, 613, 291, 5315, 5560, 272, 267, 546, 273, 4297, 3097, 2745, 2891, 291, 5315, 1310, 26399, 2433, 24333, 323, 273, 994, 0, 258, 5124, 5358, 547, 4894, 26134, 1913, 689, 513, 4845, 692, 5228, 10070, 1104, 22388, 454, 258, 9577, 547, 4894, 26134, 1913, 689, 513, 4845, 454, 3698, 4894, 291, 340, 12393, 30415, 2187, 567, 952, 5569, 2652, 1412, 343, 12466, 11434, 1820, 2891, 2750, 527, 5602, 11434, 14827, 3890, 3248, 567, 3116, 912, 11434, 5569, 815, 5569, 21858, 2891, 19515, 11434, 585, 1775, 538, 2039, 263, 271, 267, 7003, 30415, 15892, 19930, 5569, 5157, 316, 815, 834, 2668, 21860, 30415, 5157, 7481, 19930, 26134, 815, 22388, 30415, 994, 19930, 521, 815, 834, 834, 269, 21860, 263, 706, 12393, 269, 12399, 15405, 11434, 1820, 9497, 5475, 9427, 26134, 1913, 267, 519, 4845, 568, 2433, 2580, 338, 2020, 258, 6875, 3403, 689, 3593, 3097, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 567, 5569, 815, 3403, 2891, 11767, 1022, 4845, 14826, 5602, 567, 4894, 291, 340, 12393, 30415, 2020, 0, 1477, 2162, 17276, 353, 506, 27381, 351, 12530, 482, 12530, 376, 12530, 360, 11210, 369, 12530, 367, 12530, 501, 12530, 360, 1477, 2162, 476, 7430, 497, 11210, 490, 11210, 496, 12530, 503, 12530, 376, 11210, 373, 7430, 360, 420, 359, 366, 421, 350, 490, 28374, 19540, 483, 14395, 373, 11210, 496, 420, 10191, 420, 357, 502, 7430, 501, 7430, 355, 7430, 493, 7430, 510, 7430, 499, 7430, 482, 5897, 5814, 26417, 1477, 258, 17276, 353, 506, 27381, 351, 11210, 377, 12530, 376, 11210, 373, 1477, 5976, 1930, 3488, 25899, 27406, 3299, 1412, 342, 10807, 607, 26417, 18316, 6769, 825, 5856, 815, 26417, 9884, 31581, 6262, 12364, 18316, 3418, 825, 5856, 9884, 31581, 578, 8443, 257, 7430, 511, 7430, 504, 7430, 497, 14824, 7430, 509, 11210, 497, 7430, 502, 11210, 491, 7430, 484, 14824, 7430, 491, 11210, 485, 7430, 484, 7430, 502, 11210, 483, 11210, 491, 7430, 484, 14824, 7430, 492, 11210, 484, 7430, 484, 14824, 7430, 496, 11210, 497, 11210, 482, 14824, 7430, 489, 7430, 359, 7430, 488, 14824, 7430, 506, 11210, 497, 7430, 482, 7430, 353, 19312, 10142, 2162, 17276, 353, 506, 27381, 351, 12530, 482, 12530, 376, 12530, 360, 5897, 5976, 1930, 3488, 25899, 27406, 3299, 1412, 337, 10807, 607, 26417, 18316, 6769, 825, 5467, 815, 26417, 18667, 518, 6262, 12364, 18316, 3418, 825, 585, 4737, 538, 5467, 6769, 1038, 1820, 21405, 10142, 258, 1820, 4433, 1830, 10142, 3698, 3406, 28399, 825, 2262, 815, 6358, 2891, 421, 361, 376, 418, 375, 483, 28374, 419, 503, 375, 417, 510, 368, 32512, 29830, 358, 28374, 12571, 491, 31176, 491, 11210, 496, 24662, 20693, 505, 7430, 501, 7430, 355, 7430, 493, 7430, 510, 7430, 499, 7430, 482, 21188, 834, 3418, 24541, 825, 12693, 476, 7430, 497, 7430, 497, 7430, 360, 418, 353, 506, 27381, 351, 12530, 511, 11210, 372, 12530, 481, 11210, 363, 11210, 496, 418, 505, 372, 7430, 493, 1477, 825, 1820, 27182, 538, 4737, 10142, 825, 952, 2262, 538, 4737, 6769, 1038, 1820, 3488, 7430, 482, 7430, 378, 7430, 503, 20298, 825, 3116, 6769, 1038, 4737, 6910, 27182, 3418, 1038, 1820, 3488, 7430, 482, 7430, 378, 7430, 505, 11210, 497, 12486, 420, 10191, 20693, 510, 7430, 501, 7430, 378, 7430, 503, 12486, 262, 10142, 825, 1820, 21405, 10142, 825, 1820, 2891, 24001, 7430, 490, 26109, 489, 7430, 353, 7430, 489, 11210, 488, 7430, 501, 7430, 509, 2668, 8971, 27182, 264, 10142, 604, 6449, 4067, 1029, 2652, 26242, 10852, 1029, 257, 6769, 825, 3406, 31476, 258, 22614, 493, 378, 418, 30904, 30536, 7430, 356, 420, 358, 355, 27310, 421, 490, 363, 420, 359, 353, 18809, 7430, 356, 7430, 503, 16378, 497, 1477, 258, 609, 1930, 3488, 25899, 27406, 3299, 1412, 342, 10807, 607, 26417, 18316, 6769, 258, 672, 5856 ]

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

[ 1341, 536, 267, 577, 5366, 1535, 543, 4194, 519, 3830, 585, 586, 267, 610, 26716, 5366, 586, 543, 4194, 585, 1535, 563, 1692, 1082, 10974, 616, 972, 538, 513, 1448, 888, 22764, 2338, 2005, 3651, 338, 1614, 2338, 630, 4385, 607, 10974, 264, 547, 1169, 1448, 538, 28070, 2230, 281, 24293, 3845, 678, 267, 8701, 5086, 16564, 630, 9064, 1070, 543, 20842, 574, 3578, 531, 5086, 26420, 630, 12978, 1916, 1692, 798, 596, 1265, 519, 10974, 540, 513, 1448, 593, 513, 3113, 888, 2414, 1265, 519, 1535, 18396, 15453, 540, 513, 1448, 593, 513, 3113, 281, 19352, 513, 2786, 1899, 689, 519, 1448, 2047, 547, 519, 1535, 14289, 7868, 1297, 1141, 519, 1899, 16125, 519, 1535, 14289, 568, 519, 1871, 540, 519, 1535, 18396, 15453, 563, 1432, 616, 519, 10974, 540, 1448, 674, 888, 763, 10974, 585, 8672, 674, 616, 630, 275, 269, 275, 16427, 275, 269, 277, 1916, 1432, 568, 10974, 540, 513, 1448, 888, 3467, 2560, 589, 1305, 540, 2418, 602, 1397, 606, 3169, 2990, 269, 2201, 11708, 621, 568, 2356, 513, 6292, 540, 2338, 281, 519, 1101, 1297, 2982, 519, 3845, 2059, 267, 543, 519, 2034, 1297, 2982, 519, 3845, 909, 610, 1524, 269, 7151, 281, 519, 1448, 630, 1321, 267, 276, 264, 568, 476, 1321, 4559, 2059, 267, 543, 476, 276, 4559, 909, 563, 1692, 798, 596, 2099, 10974, 888, 2691, 24152, 519, 10974, 540, 513, 4087, 267, 519, 1899, 540, 20173, 568, 2141, 2016, 1101, 4553, 676, 519, 1899, 540, 29978, 269, 4475, 267, 519, 10974, 540, 713, 4087, 786, 581, 281, 476, 1015, 4113, 301, 20173, 267, 476, 3583, 4113, 310, 29978, 269, 634, 1899, 540, 20173, 568, 1224, 607, 476, 6078, 5232, 630, 6078, 4113, 1070, 476, 2190, 3764, 630, 2190, 12664, 1070, 476, 1321, 269, 273, 7643, 630, 1321, 269, 273, 14615, 5087, 269, 0, 23763, 547, 4137, 856, 519, 4266, 602, 568, 4010, 835, 8536, 835, 4627, 543, 8938, 32732, 2395, 689, 1631, 1510, 10203, 888, 9213, 568, 5239, 476, 2918, 267, 476, 1708, 272, 865, 602, 1797, 602, 476, 12208, 279, 2395, 689, 2221, 1131, 581, 5437, 476, 2767, 267, 476, 1708, 275, 563, 2791, 666, 2638, 713, 676, 1210, 519, 4266, 3017, 9498, 547, 2268, 519, 1297, 540, 2395, 689, 2221, 547, 8734, 476, 2767, 267, 476, 1708, 275, 563, 23921, 547, 5173, 476, 12208, 279, 2395, 689, 513, 1808, 4266, 286, 2422, 519, 17963, 3245, 11261, 9498, 563, 21776, 476, 2767, 628, 267, 476, 1708, 275, 568, 513, 13723, 269, 898, 568, 519, 476, 28590, 526, 1554, 540, 519, 1032, 267, 543, 538, 519, 476, 4366, 628, 3018, 540, 519, 1032, 630, 817, 11167, 1142, 3018, 6238, 593, 513, 11728, 1070, 610, 519, 476, 275, 628, 10116, 540, 519, 1032, 269, 1703, 616, 476, 1789, 2395, 538, 713, 3923, 269, 476, 1708, 275, 568, 513, 20014, 1032, 267, 865, 972, 616, 476, 3607, 277, 2395, 538, 713, 1032, 269, 634, 2110, 1106, 585, 713, 4266, 1031, 538, 519, 2136, 2276, 568, 476, 1556, 270, 2767, 270, 1708, 275, 267, 543, 3592, 10876, 3116, 538, 519, 1158, 621, 781, 476, 2767, 270, 1556, 270, 1708, 275, 563, 1103, 930, 2665, 267, 596, 1522, 1616, 547, 18178, 32300, 543, 1293, 1152, 519, 3018, 17058, 269, 901, 1223, 581, 3730, 952, 596, 917, 596, 723, 513, 21120, 1759, 593, 513, 1978, 1297, 540, 1870, 2395, 269, 1403, 596, 616, 3843, 547, 1294, 1018, 1554, 8813, 593, 519, 3169, 4266, 3017, 540, 476, 272, 267, 12553, 3018, 17058, 689, 2221, 267, 596, 666, 1293, 909, 1142, 1554, 1236, 6235, 590, 4405, 17058, 543, 9530, 904, 563, 9359, 707, 9819, 609, 2221, 267, 799, 8813, 593, 513, 13638, 269, 25478, 4464, 267, 519, 1985, 1554, 1131, 581, 513, 13723, 563, 2414, 1205, 4010, 835, 8536, 835, 4627, 543, 8938, 32732, 3018, 17058, 689, 1631, 267, 596, 2965, 991, 547, 1293, 476, 272, 267, 276, 4281, 2698, 2395, 630, 10175, 15964, 2395, 1040, 2334, 1797, 602, 476, 12208, 279, 3018, 17058, 689, 2221, 1131, 581, 5988, 476, 736, 267, 476, 1708, 277, 563, 2252, 596, 2811, 10203, 1870, 2395, 267, 1810, 1405, 7340, 547, 4188, 713, 4266, 585, 1022, 14812, 563, 21938, 476, 736, 628, 267, 476, 1708, 277, 568, 513, 11016, 269, 898, 568, 519, 476, 7906, 560, 1554, 540, 519, 1032, 267, 543, 538, 519, 476, 279, 628, 3018, 540, 519, 1032, 630, 817, 11167, 1142, 3018, 6238, 593, 513, 11728, 1070, 610, 519, 476, 272, 560, 10116, 540, 519, 1032, 269, 1703, 616, 476, 2764, 2395, 538, 713, 3923, 269, 476, 1708, 277, 568, 711, 513, 20014, 1032, 267, 865, 972, 616, 476, 18458, 2395, 538, 713, 1032, 269, 634, 2110, 1106, 585, 713, 4266, 1031, 538, 519, 2136, 2276, 568, 476, 273, 270, 736, 270, 1708, 277, 267, 543, 3592, 10876, 3116, 538, 519, 1158, 621, 781, 476, 736, 270, 273, 270, 1708, 277, 563, 1607, 3135, 2488, 606, 2228, 17963, 3245, 4653, 9498, 547, 948, 596, 1265, 519, 4266, 602, 4386, 4010, 2473, 2395, 689, 1631, 269, 1411, 666, 849, 4283, 513, 2942, 1297, 547, 1265, 856, 950, 2473, 2395, 1354, 2221, 5949, 547, 2887, 269, 1411, 666, 946, 713, 1907, 547, 4137, 856, 513, 21120, 952, 596, 723, 513, 1978, 1297, 540, 2395, 6967, 269, 2107, 1224, 519, 2407, 2985, 547, 1451, 811, 827, 519, 1813, 4266, 952, 596, 2811, 10203, 1870, 2395, 610, 3018, 17058, 1152, 267, 1236, 6235, 14349, 543, 10732, 269, 1403, 596, 2811, 3843, 547, 2268, 519, 1297, 540, 2395, 1063, 1079, 7389, 267, 596, 666, 6467, 547, 519, 11261, 16338, 9498, 3079, 269, 0, 291, 558, 4382, 12352, 616, 519, 1071, 4725, 1746, 2078, 1063, 15982, 4891, 711, 9310, 547, 1142, 824, 269, 681, 261, 290, 932, 476, 279, 630, 303, 326, 269, 476, 18891, 268, 26237, 264, 1692, 814, 519, 4008, 5888, 540, 519, 13781, 4957, 538, 519, 2250, 476, 1220, 1296, 286, 268, 15900, 476, 5197, 271, 338, 281, 476, 276, 260, 540, 2021, 5249, 3544, 1753, 269, 476, 5002, 271, 281, 476, 1789, 260, 941, 6964, 12051, 4600, 269, 4438, 2112, 267, 1247, 2367, 941, 2476, 267, 2021, 1185, 547, 960, 269, 9093, 8120, 267, 2021, 1185, 547, 1118, 4055, 585, 2367, 538, 4074, 3196, 269, 476, 3422, 271, 338, 281, 16028, 3928, 2799, 267, 2021, 9411, 4074, 3196, 547, 1489, 2933, 269, 13201, 1044, 454, 27463, 2084, 2479, 2094, 269, 1262, 1432, 1281, 968, 16303, 17478, 892, 1611, 286, 1215, 616, 6009, 3023, 5302, 27935, 286, 1548, 616, 519, 4539, 286, 268, 29189, 17478, 4016, 547, 519, 4110, 547, 799, 2367, 543, 2021, 616, 13671, 538, 23909, 538, 799, 4600, 540, 835, 3023, 2392, 558, 3729, 11607, 297, 10849, 616, 3023, 5302, 27935, 676, 910, 763, 4539, 616, 12145, 7694, 3255, 267, 18351, 1143, 267, 7920, 2604, 267, 3092, 269, 1262, 1432, 568, 519, 13230, 7934, 286, 1215, 666, 5198, 543, 4008, 3313, 14057, 286, 1692, 666, 649, 2491, 519, 13230, 7934, 286, 268, 763, 13230, 7934, 568, 910, 305, 864, 267, 13834, 267, 6428, 776, 18737, 7336, 8724, 519, 13230, 7934, 5093, 1432, 15295, 568, 1034, 2693, 547, 581, 4057, 286, 2201, 10304, 286, 268, 306, 17532, 12624, 338, 616, 1034, 2693, 547, 581, 4057, 11607, 265, 6701, 1346, 10304, 2324, 286, 4208, 610, 1946, 711, 286, 1548, 616, 519, 4539, 286, 19203, 1262, 1692, 798, 1004, 593, 10304, 6108, 741, 2724, 286, 1262, 1432, 616, 930, 2487, 10304, 15024, 543, 1018, 616, 519, 4539, 286, 734, 454, 305, 261, 290, 932, 476, 280, 630, 303, 326, 269, 476, 14838, 268, 18231, 264, 1262, 8005, 862, 1080, 6760, 286, 1548, 2010, 540, 6760, 286, 4208, 286, 268, 21930, 2367, 3479, 6760, 269, 734, 3963, 814, 22158, 1044, 30199, 585, 2810, 519, 1297, 540, 10963, 8149, 676, 2021, 286, 1548, 616, 930, 31886, 540, 713, 3069, 286, 268, 293, 655, 24452, 814, 1044, 30199, 1317, 607, 2021, 1745, 811, 5391, 23306, 9308, 267, 14156, 267, 16155, 267, 1447, 896, 2367, 779, 1379, 267, 789, 4043, 547, 1491, 856, 741, 10845, 269, 4746, 267, 607, 2021, 1205, 811, 3238, 538, 519, 4074, 3196, 267, 789, 723, 811, 4316, 547, 3479, 6760, 630, 19009, 543, 4544, 27897, 4700, 1432, 2360, 723, 16601, 10654, 4031, 1185, 593, 2021, 286, 300, 663, 2218, 10654, 4031, 723, 1500, 621, 865, 602, 2021, 666, 581, 849, 18486, 585, 14213, 532, 606, 15982, 7649, 1282, 513, 6469, 5208, 15539, 267, 1256, 952, 9117, 538, 1582, 12413, 1619, 23130, 616, 930, 7496, 4775, 7128, 10492, 3068, 286, 293, 24580, 7128, 10492, 949, 3068, 1373, 2938, 607, 9308, 543, 2618, 10999, 21260, 267, 6354, 11494, 267, 711, 22973, 267, 17596, 2027, 2126, 267, 3092, 32289, 568, 2366, 9760, 1644, 547, 2757, 4008, 8155, 286, 18131, 616, 1447, 2693, 547, 4309, 7890, 942, 982, 2367, 585, 741, 10963, 269, 10705, 1317, 519, 5480, 4769, 1406, 1491, 519, 10963, 12233, 676, 2021, 607, 12517, 607, 1346, 8149, 676, 2367, 269, 0, 15288, 21815, 5058, 6730, 19845, 27073, 5058, 454, 5978, 5075, 693, 670, 843, 518, 628, 528, 701, 12729, 3427, 568, 547, 1683, 3255, 585, 1453, 547, 1020, 607, 4830, 267, 8746, 267, 3811, 6267, 609, 1164, 17050, 945, 917, 875, 547, 1118, 513, 2318, 9295, 547, 741, 2146, 543, 9962, 2486, 269, 1703, 568, 513, 1164, 1445, 593, 3384, 5837, 267, 5289, 267, 1514, 543, 2686, 1620, 269, 10076, 1072, 543, 1134, 5630, 568, 693, 519, 2295, 540, 938, 6437, 609, 519, 6249, 540, 968, 301, 4669, 675, 892, 1373, 8142, 539, 998, 938, 6437, 563, 11749, 1132, 585, 1967, 912, 4910, 559, 1466, 267, 3131, 14651, 267, 21727, 543, 9877, 1145, 454, 5978, 715, 4669, 675, 15099, 912, 4263, 670, 843, 518, 628, 528, 701, 12729, 3427, 267, 649, 616, 851, 540, 519, 715, 4669, 1005, 12140, 19510, 689, 2048, 763, 715, 4669, 675, 6828, 8416, 17483, 2171, 2503, 782, 8639, 543, 8436, 538, 519, 1153, 547, 2203, 891, 3741, 547, 1142, 824, 269, 1452, 3741, 616, 8142, 539, 998, 782, 3344, 540, 938, 1153, 1272, 1519, 4507, 543, 519, 6437, 563, 2791, 666, 1224, 811, 827, 938, 715, 4669, 675, 15099, 267, 1519, 13156, 938, 1034, 7789, 14791, 1867, 1934, 563, 13981, 693, 670, 843, 518, 628, 528, 701, 912, 8794, 519, 3084, 6437, 607, 938, 3490, 547, 2709, 4560, 540, 1565, 267, 519, 6437, 693, 670, 843, 518, 628, 528, 701, 568, 3358, 547, 1683, 1453, 609, 1702, 543, 1983, 799, 616, 11636, 936, 519, 1032, 543, 998, 519, 1296, 267, 3850, 782, 1453, 547, 7842, 741, 1565, 543, 6542, 1018, 789, 917, 543, 3314, 563, 8923, 1491, 513, 1413, 693, 938, 4147, 16735, 547, 1294, 930, 540, 519, 3078, 1565, 2469, 593, 538, 1153, 563, 2252, 596, 1131, 899, 811, 1344, 827, 875, 649, 4001, 811, 2111, 1453, 267, 5225, 1294, 938, 20523, 3493, 628, 2985, 563, 19350, 596, 666, 1265, 1344, 585, 1367, 5396, 543, 875, 789, 616, 6026, 269, 0, 3412, 332, 2317, 543, 700, 8233, 1738, 454, 26045, 2657, 543, 32471, 748, 454, 1805, 516, 696, 19905, 623, 12149, 8205, 324, 630, 1492, 13969, 19905, 264, 568, 519, 1034, 1455, 9190, 2014, 540, 9190, 16415, 538, 782, 2085, 2516, 269, 623, 12149, 8205, 568, 811, 1455, 538, 519, 1360, 1762, 543, 519, 1360, 2025, 269, 28298, 540, 6790, 696, 19905, 623, 12149, 8205, 324, 568, 6140, 998, 519, 3262, 540, 7929, 20256, 689, 519, 9224, 610, 5023, 540, 513, 1268, 609, 513, 13969, 25497, 5632, 3968, 610, 689, 1004, 267, 2523, 1453, 267, 945, 4163, 519, 4551, 538, 741, 31462, 1846, 1510, 1373, 2192, 269, 634, 1981, 540, 13969, 25497, 5632, 3968, 568, 1454, 2799, 538, 6375, 665, 20234, 668, 2213, 7606, 543, 666, 2014, 8650, 18980, 4345, 267, 17333, 4345, 2923, 267, 23971, 4345, 267, 11560, 3912, 601, 4345, 267, 23170, 12263, 267, 1439, 18201, 4345, 267, 829, 527, 517, 4345, 267, 543, 829, 545, 731, 4345, 269, 0, 2005, 568, 3622, 7608, 602, 2597, 2530, 814, 1082, 1713, 12214, 2640, 971, 607, 4389, 1981, 540, 1164, 1973, 2604, 543, 3987, 269, 1717, 267, 519, 2963, 547, 1489, 519, 5626, 2640, 540, 2597, 2530, 814, 711, 1044, 1134, 8268, 269, 589, 928, 10383, 958, 267, 2705, 267, 1004, 4043, 547, 1867, 789, 1745, 1732, 827, 2933, 1310, 789, 723, 4503, 2597, 543, 713, 2048, 10623, 601, 1434, 3815, 685, 1590, 711, 581, 19765, 13846, 563, 288, 2689, 540, 519, 3370, 2963, 272, 814, 1336, 602, 5171, 7152, 5812, 9283 ]

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

[ 2553, 751, 848, 856, 21374, 1063, 9583, 20775, 4632, 267, 17766, 1007, 1769, 593, 5817, 3123, 6117, 1426, 22584, 3928, 269, 11086, 267, 6220, 1239, 12642, 5867, 883, 1426, 6351, 5752, 11942, 2963, 2861, 3375, 6194, 267, 10240, 9094, 12477, 267, 543, 533, 2314, 519, 1259, 585, 6024, 6454, 16135, 538, 6662, 14573, 2864, 982, 20932, 4805, 780, 1103, 3932, 267, 8508, 2872, 10391, 3301, 3156, 3091, 16854, 1761, 585, 14304, 1426, 6351, 3292, 543, 5009, 12581, 1569, 547, 14312, 1426, 2959, 269, 3245, 5883, 7817, 1894, 3842, 7347, 595, 5960, 338, 547, 19713, 5969, 12967, 3642, 7207, 11251, 1369, 1239, 12642, 5867, 267, 6639, 7760, 16491, 9439, 609, 3532, 2645, 5827, 540, 13321, 2729, 543, 6830, 4328, 6043, 1996, 14488, 269, 1717, 267, 3811, 6388, 3340, 6297, 7156, 540, 5683, 6286, 4478, 7834, 267, 3354, 267, 11413, 267, 543, 13784, 269, 21344, 5647, 609, 3743, 19642, 5849, 4264, 3356, 4724, 16701, 21899, 1426, 22584, 543, 14237, 14762, 2950, 8087, 538, 3838, 13884, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 2752, 12087, 4041, 1923, 8222, 281, 1015, 269, 20385, 4510, 270, 2181, 21646, 1708, 20542, 269, 271, 4200, 274, 18192, 272, 454, 20428, 281, 5398, 2657, 1656, 16195, 267, 5398, 2657, 1656, 2657, 7896, 27511, 281, 1426, 22584, 282, 1426, 1569, 282, 1426, 6351, 282, 1426, 20562, 787, 282, 590, 2793, 303, 282, 7496, 282, 1257, 5048, 282, 1344, 282, 562, 19276, 282, 23250, 282, 6304, 282, 6404, 2409, 454, 15697, 281, 476, 1704, 5239, 476, 1708, 274, 630, 1556, 281, 4649, 281, 6795, 595, 12239, 994, 15933, 22584, 568, 606, 2804, 543, 1514, 2783, 5473, 3908, 610, 7334, 1569, 547, 1426, 269, 634, 1966, 540, 1426, 22584, 538, 2950, 568, 6766, 676, 2804, 2175, 267, 1426, 24301, 267, 543, 7496, 547, 17034, 2635, 1426, 269, 15706, 7680, 1426, 22584, 1419, 22036, 21276, 2042, 540, 2883, 16132, 267, 14000, 267, 543, 4057, 2790, 543, 2168, 1072, 269, 5398, 543, 1875, 17416, 2533, 538, 519, 772, 2529, 1421, 971, 607, 519, 10480, 518, 958, 6462, 26929, 531, 12594, 26859, 5358, 630, 306, 2793, 303, 264, 543, 2146, 1426, 8492, 267, 1683, 1426, 5829, 6351, 547, 2043, 945, 616, 693, 513, 1164, 1981, 540, 7680, 1426, 22584, 269, 10251, 267, 1082, 2043, 945, 20618, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 29898, 15978, 1315, 15642, 1049, 1315, 12752, 4149, 24594, 12229, 10241, 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, 4495, 2390, 513, 942, 267, 538, 513, 1507, 4884, 3957, 853, 5300, 6807, 267, 5030, 1079, 1655, 2828, 267, 15207, 543, 8861, 269, 1358, 941, 2462, 11655, 540, 2575, 543, 6068, 1565, 827, 1114, 7405, 543, 12372, 269, 2290, 1554, 789, 1224, 513, 4241, 2376, 827, 962, 978, 342, 773, 5689, 332, 4614, 523, 267, 513, 4583, 16528, 13176, 626, 945, 729, 19486, 1851, 519, 1283, 4557, 3167, 13176, 5716, 540, 782, 942, 676, 29376, 292, 18225, 538, 476, 1220, 280, 269, 19196, 1243, 569, 267, 789, 5941, 2436, 646, 729, 2965, 2808, 519, 2608, 24030, 652, 265, 13176, 6345, 2479, 780, 20755, 3240, 1767, 267, 834, 296, 1589, 1373, 593, 602, 1592, 2306, 1864, 519, 1655, 10590, 1809, 8861, 4941, 547, 917, 811, 269, 2701, 6700, 267, 834, 4131, 781, 1265, 856, 1018, 1412, 928, 16438, 817, 673, 4496, 4730, 2511, 262, 1797, 1107, 6148, 602, 786, 948, 721, 1174, 875, 1434, 646, 2731, 568, 3010, 5445, 21503, 543, 1336, 856, 602, 683, 16438, 817, 673, 4496, 5916, 2609, 689, 8106, 2575, 543, 5230, 4496, 269, 901, 1500, 741, 8186, 18388, 609, 2055, 256, 1215, 666, 2576, 3575, 891, 9583, 6587, 6163, 286, 1548, 1131, 4755, 950, 971, 17804, 4992, 3357, 1927, 2496, 2026, 789, 8268, 2417, 267, 789, 4362, 1945, 6397, 269, 4014, 29376, 292, 18225, 1185, 8197, 3769, 5689, 332, 4614, 523, 538, 922, 20380, 1592, 267, 621, 1705, 711, 17551, 1864, 519, 6207, 2608, 12895, 29688, 5502, 267, 621, 9976, 1585, 2189, 13176, 1235, 609, 3309, 4485, 543, 15421, 269, 15207, 521, 19042, 267, 16734, 741, 3355, 13429, 7012, 1405, 7357, 4977, 269, 1717, 267, 1312, 8815, 602, 3025, 593, 519, 1592, 31251, 5689, 332, 4614, 523, 1765, 13195, 9058, 1317, 1142, 4547, 741, 1378, 23963, 14952, 748, 13144, 883, 3280, 30335, 649, 1289, 2575, 780, 1103, 519, 1439, 267, 15207, 543, 8861, 4121, 606, 1271, 3992, 281, 2760, 8263, 1919, 1510, 1697, 2963, 610, 1620, 269, 1635, 6998, 2055, 543, 5275, 4267, 267, 789, 6591, 3407, 4030, 827, 2575, 11964, 267, 7574, 5159, 267, 543, 1256, 4824, 741, 2565, 3206, 1983, 269, 6884, 938, 6788, 1522, 711, 2490, 856, 4010, 607, 9709, 267, 2943, 1169, 6602, 5012, 721, 6251, 547, 26762, 519, 13300, 540, 1148, 267, 2257, 267, 543, 1272, 3294, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 2108, 5649, 519, 1739, 5037, 543, 3313, 952, 519, 8367, 568, 3020, 1384, 312, 978, 342, 773, 2977, 534, 5689, 332, 4614, 523, 630, 6902, 4535, 700, 1513, 2977, 534, 962, 978, 557, 28469, 1676, 321, 7564, 1188, 282, 476, 1789, 4873, 476, 3422, 274, 264, 568, 513, 16528, 13176, 626, 543, 6512, 548, 14575, 269, 5689, 332, 4614, 523, 1101, 2968, 1634, 538, 519, 476, 2735, 271, 338, 585, 1010, 683, 16438, 817, 673, 4496, 4730, 2511, 538, 5230, 4496, 269, 769, 476, 1220, 280, 267, 834, 11742, 257, 12139, 15951, 5689, 332, 4614, 523, 607, 1851, 519, 476, 1015, 6574, 3167, 13176, 5716, 540, 782, 942, 780, 16521, 707, 2626, 689, 281, 630, 328, 1040, 8786, 269, 630, 4512, 1040, 898, 781, 7543, 547, 2161, 269, 630, 13839, 1040, 3143, 563, 29797, 582, 4185, 281, 5689, 332, 4614, 523, 729, 2808, 519, 6574, 13176, 6345, 2949, 676, 5384, 12139, 538, 476, 1220, 280, 563, 3721, 476, 272, 281, 10576, 519, 1883, 1344, 2016, 538, 519, 5037, 780, 268, 962, 978, 342, 773, 5689, 332, 4614, 523, 568, 513, 16528, 13176, 626, 543, 6512, 548, 14575, 563, 268, 5689, 332, 4614, 523, 568, 1634, 585, 1010, 683, 16438, 817, 673, 4496, 4730, 2511, 538, 5230, 4496, 563, 268, 769, 476, 1220, 280, 267, 5384, 12139, 15951, 5689, 332, 4614, 523, 607, 1851, 519, 476, 1015, 6574, 3167, 13176, 5716, 540, 782, 942, 780, 3721, 476, 273, 281, 14424, 519, 2016, 8367, 609, 519, 1344, 3177, 780, 29797, 582, 4185, 281, 5689, 332, 4614, 523, 729, 2808, 519, 6574, 13176, 6345, 31952, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 3848, 476, 1015, 281, 8950, 17978, 910, 4045, 532, 8625, 538, 519, 7913, 2622, 692, 1103, 2221, 781, 1158, 267, 5904, 723, 1831, 1898, 2645, 585, 2792, 267, 2069, 267, 543, 9913, 269, 1411, 1522, 1589, 540, 707, 2780, 607, 513, 2582, 3926, 602, 2337, 596, 798, 1082, 1919, 899, 4730, 3756, 267, 2870, 1148, 267, 610, 11264, 6780, 10467, 269, 1809, 1705, 596, 917, 602, 5904, 666, 849, 1921, 609, 1142, 824, 286, 901, 4276, 2636, 873, 547, 2671, 2200, 543, 5968, 14678, 256, 1452, 4296, 1063, 5904, 1106, 1018, 649, 1289, 2780, 5121, 269, 2913, 781, 4685, 883, 519, 4241, 1158, 540, 2780, 13033, 1927, 2439, 1262, 1432, 568, 513, 3060, 267, 543, 1946, 1281, 621, 2339, 15140, 288, 3060, 568, 3274, 513, 1895, 540, 10562, 3457, 1765, 28669, 619, 267, 16389, 267, 14342, 267, 3014, 931, 3421, 267, 1256, 23252, 543, 1788, 832, 256, 1879, 891, 3457, 6443, 4229, 267, 789, 5512, 721, 547, 1569, 3838, 6119, 267, 5385, 6835, 267, 1404, 3818, 16651, 3756, 267, 3381, 10004, 609, 2828, 1472, 519, 8608, 267, 543, 1454, 811, 269, 1635, 4687, 741, 7207, 267, 891, 4448, 3457, 24244, 1018, 1367, 6191, 666, 3035, 10446, 780, 5331, 2348, 1896, 11015, 4773, 16559, 827, 513, 4055, 282, 10655, 1346, 4773, 835, 693, 513, 942, 1131, 1491, 11014, 269, 1717, 267, 952, 2576, 24963, 5531, 338, 782, 519, 4773, 543, 2855, 5190, 873, 28426, 593, 513, 3349, 267, 6061, 519, 11015, 3587, 513, 1187, 543, 10319, 2534, 256, 6684, 267, 950, 5904, 1921, 538, 513, 3060, 267, 789, 9192, 741, 15421, 543, 2200, 1175, 899, 11015, 4773, 4947, 1927, 547, 948, 721, 9585, 5863, 4247, 7561, 780, 1262, 1692, 1281, 1239, 2951, 998, 5121, 15140, 2414, 1174, 875, 1239, 7575, 998, 5121, 267, 1577, 781, 1101, 1294, 1018, 2306, 909, 513, 2241, 3060, 269, 5994, 1079, 5904, 630, 2280, 781, 2012, 873, 7705, 781, 543, 7585, 781, 264, 5116, 2282, 1142, 824, 269, 1677, 1450, 7705, 781, 543, 7585, 781, 5904, 547, 2911, 547, 1142, 824, 267, 649, 991, 513, 2027, 8220, 10260, 1572, 606, 25494, 10814, 269, 4495, 726, 28289, 538, 267, 891, 15791, 3715, 1945, 1634, 607, 513, 10871, 9351, 8416, 630, 28356, 1040, 4578, 1631, 814, 513, 13374, 547, 2095, 16900, 1063, 7705, 781, 543, 7585, 781, 5904, 2439, 2691, 7705, 6499, 547, 6494, 513, 4605, 610, 5048, 547, 7585, 1210, 1200, 2780, 267, 1352, 5036, 1055, 513, 5832, 5114, 269, 3689, 267, 519, 1239, 568, 10736, 883, 6263, 21168, 5627, 11353, 540, 1344, 971, 607, 9607, 267, 5528, 267, 543, 4890, 1543, 269, 3973, 267, 1739, 513, 30966, 8905, 267, 891, 21168, 29906, 2059, 519, 25494, 10814, 2509, 7585, 781, 2780, 269, 16270, 8757, 922, 10278, 267, 1010, 3684, 556, 553, 5145, 956, 519, 21168, 1394, 883, 519, 3312, 3758, 3898, 1765, 17383, 10042, 267, 5692, 12913, 2439, 3719, 7227, 267, 972, 781, 811, 256, 6884, 9883, 949, 5094, 938, 3659, 5918, 334, 267, 1818, 1463, 9348, 1782, 791, 24411, 269, 21824, 711, 256, 1284, 666, 1869, 26595, 11397, 25097, 3842, 22453, 9351, 17978, 630, 310, 3198, 1070, 899, 519, 5769, 269, 5502, 540, 12904, 16046, 5904, 267, 5925, 6329, 4163, 6786, 1851, 1585, 13591, 13515, 1354, 6368, 12419, 519, 10475, 18535, 547, 922, 3803, 18579, 269, 1924, 2436, 5195, 6306, 610, 9361, 2427, 676, 2427, 267, 5121, 7668, 1325, 5362, 543, 7585, 338, 10876, 547, 3251, 25274, 4448, 2439, 1262, 8002, 8481, 1299, 18768, 16001, 265, 8620, 2659, 13574, 22387, 9539, 564, 1740, 17041, 4635, 25494, 27871, 267, 13622, 909, 1079, 540, 707, 1920, 781, 5904, 543, 4483, 6119, 1063, 873, 269, 15331, 609, 1114, 2010, 540, 6119, 543, 7747, 1022, 3604, 538, 4483, 11250, 780, 265, 17637, 589, 5403, 15258, 17041, 5071, 513, 2022, 15258, 15386, 1079, 30152, 2828, 9363, 4448, 3842, 513, 2647, 1858, 3060, 269, 8571, 12383, 18995, 519, 3460, 540, 1239, 21168, 10707, 936, 5318, 9883, 2394, 789, 3914, 741, 3077, 780, 31917, 3695, 267, 543, 3314, 281, 1169, 942, 596, 1921, 609, 1866, 2228, 267, 596, 2811, 10283, 538, 519, 4190, 1623, 21620, 540, 2780, 5121, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 5978, 17496, 585, 17270, 454, 2108, 27609, 532, 938, 10453, 585, 519, 3059, 1158, 282, 30196, 519, 1761, 7536, 4263, 853, 29366, 779, 267, 649, 2832, 547, 1683, 513, 17270, 6437, 602, 786, 16491, 938, 10453, 609, 519, 1702, 543, 1620, 547, 7119, 538, 513, 6385, 4657, 1158, 1141, 960, 543, 16837, 2238, 616 ]

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

[ 269, 17859, 540, 519, 3237, 685, 2078, 4567, 267, 519, 8561, 568, 593, 8716, 1312, 3237, 547, 1491, 606, 3742, 851, 538, 741, 1126, 779, 1646, 269, 901, 1900, 2509, 7862, 2369, 2478, 519, 5383, 540, 519, 4819, 3384, 2178, 7554, 609, 1312, 3237, 563, 9377, 3539, 13834, 853, 699, 8040, 454, 763, 3661, 602, 31908, 1058, 723, 3152, 2924, 982, 18971, 814, 30174, 13840, 593, 519, 12406, 602, 11299, 1118, 1732, 1416, 3464, 269, 901, 10206, 267, 2705, 267, 23304, 1841, 519, 3099, 540, 1983, 543, 7221, 602, 1004, 723, 269, 769, 1931, 547, 1711, 513, 4023, 543, 3160, 1604, 585, 1312, 3237, 543, 1453, 267, 621, 568, 1898, 547, 4161, 891, 4008, 26608, 8526, 563, 21609, 779, 7454, 9314, 338, 268, 634, 5177, 1920, 1876, 1062, 4025, 519, 1126, 779, 1655, 4690, 1101, 538, 782, 2665, 5473, 1453, 269, 901, 10522, 602, 5079, 827, 15366, 5107, 267, 9683, 2924, 267, 543, 26692, 1590, 581, 1500, 609, 519, 1126, 779, 2168, 267, 3929, 267, 543, 2790, 8171, 538, 2247, 269, 5502, 540, 12797, 532, 835, 2385, 936, 519, 824, 1759, 593, 741, 4008, 267, 519, 8561, 568, 593, 4466, 519, 11460, 602, 568, 1034, 6225, 547, 519, 1126, 563, 21122, 531, 23680, 543, 26321, 31621, 268, 634, 5177, 814, 1500, 16854, 3356, 538, 5009, 15366, 4734, 543, 3160, 7694, 8458, 269, 9024, 328, 2510, 899, 3838, 15366, 4734, 543, 8465, 960, 16131, 948, 1312, 31908, 543, 546, 6758, 1732, 5104, 24327, 741, 11678, 543, 15970, 11645, 269, 901, 4640, 19758, 909, 519, 10206, 602, 15970, 568, 513, 3838, 4305, 602, 568, 711, 3908, 547, 513, 1978, 4008, 2990, 563, 763, 12705, 602, 2021, 538, 519, 5177, 723, 3152, 2924, 982, 18971, 568, 7294, 267, 607, 568, 519, 2243, 540, 18971, 685, 2924, 952, 789, 616, 3957, 593, 519, 4332, 15149, 269, 2755, 2348, 519, 2165, 968, 15289, 892, 593, 519, 4332, 15149, 1476, 619, 930, 2924, 543, 13800, 593, 18971, 267, 621, 1281, 711, 8850, 1303, 1856, 873, 547, 3160, 2126, 538, 782, 18125, 540, 15970, 269, 769, 1931, 547, 6536, 606, 5790, 1141, 1312, 3237, 616, 8362, 7722, 538, 741, 1126, 779, 1646, 267, 519, 5177, 3656, 1062, 4025, 513, 2178, 8561, 593, 3838, 15366, 5539, 269, 769, 1931, 547, 3035, 9758, 7862, 1851, 3237, 607, 649, 979, 4464, 267, 621, 568, 1898, 547, 13720, 3964, 4008, 8155, 543, 26608, 8526, 269, 0, 1607, 8666, 666, 581, 1336, 538, 519, 1699, 3390, 267, 18584, 5412, 476, 1626, 267, 476, 1708, 273, 267, 540, 4317, 13231, 625, 325, 1251, 1749, 2593, 538, 606, 2376, 7713, 519, 4644, 540, 15656, 5651, 572, 779, 8798, 540, 519, 751, 25393, 269, 1261, 729, 9783, 513, 14664, 538, 476, 7277, 271, 585, 1010, 3312, 1374, 799, 5654, 3833, 1114, 689, 519, 835, 3254, 2630, 602, 729, 4440, 538, 946, 676, 519, 476, 6942, 271, 338, 563, 5938, 25393, 1883, 543, 6204, 837, 267, 5375, 11272, 19007, 3213, 1421, 9628, 267, 2235, 320, 476, 6942, 277, 267, 16855, 8466, 7467, 454, 6637, 476, 736, 1107, 28982, 751, 25393, 267, 1434, 25742, 623, 3415, 18124, 454, 763, 8798, 540, 519, 751, 25393, 13497, 4957, 519, 7399, 585, 14379, 538, 3013, 269, 634, 5393, 1279, 9883, 1063, 519, 7532, 5032, 543, 519, 7178, 1500, 5329, 538, 5905, 1360, 2352, 269, 901, 729, 4824, 676, 519, 4417, 540, 519, 623, 3415, 18124, 267, 855, 519, 623, 3415, 18124, 729, 3533, 1500, 28572, 676, 519, 4417, 540, 519, 751, 25393, 269, 1635, 519, 942, 1974, 13269, 538, 9697, 779, 595, 12522, 267, 15656, 5651, 572, 779, 12381, 547, 519, 3105, 946, 540, 5201, 547, 4483, 1344, 676, 5911, 2968, 519, 1007, 2085, 540, 2792, 267, 14123, 513, 6376, 539, 569, 4824, 1505, 540, 14379, 936, 519, 5318, 9883, 1336, 538, 3013, 563, 1103, 519, 2038, 476, 5197, 271, 338, 267, 2274, 641, 1245, 334, 12321, 8270, 11827, 519, 8330, 1738, 8895, 7079, 10309, 267, 606, 6293, 602, 1223, 2268, 7648, 538, 5122, 18993, 3827, 269, 898, 729, 513, 31317, 540, 519, 751, 25393, 269, 13536, 18563, 1210, 8938, 29350, 5122, 3515, 941, 11827, 547, 10141, 11397, 6786, 855, 9863, 1932, 804, 636, 1910, 585, 4052, 946, 563, 1103, 476, 7277, 274, 519, 1977, 2229, 1710, 2331, 519, 4070, 540, 519, 1101, 751, 25393, 545, 10618, 1062, 2919, 676, 15656, 5651, 572, 269, 901, 1062, 1031, 1152, 835, 5911, 267, 543, 519, 946, 540, 1010, 3009, 4847, 4052, 2792, 1063, 811, 11397, 2798, 585, 519, 1101, 942, 269, 634, 16456, 338, 1500, 12417, 547, 3888, 751, 25393, 3515, 2059, 782, 741, 11507, 269, 4595, 3084, 942, 10851, 14201, 1406, 8815, 2390, 2394, 476, 4489, 279, 267, 16456, 3549, 8246, 519, 751, 25393, 547, 11282, 7841, 6808, 269, 901, 729, 1898, 2094, 3592, 782, 16456, 3515, 941, 2582, 13475, 8383, 908, 6808, 538, 1312, 8846, 269, 634, 751, 25393, 4166, 849, 2968, 513, 1907, 585, 4213, 547, 2932, 4123, 936, 1279, 9883, 269, 4438, 519, 6406, 2782, 267, 12493, 1031, 751, 25393, 547, 1832, 909, 609, 519, 1585, 12959, 543, 5968, 2047, 609, 1010, 1252, 1023, 563, 763, 751, 25393, 2322, 519, 623, 3415, 18124, 856, 540, 1870, 269, 769, 519, 4571, 268, 866, 628, 2540, 267, 13875, 936, 1633, 676, 3942, 16455, 3576, 8938, 19317, 2395, 547, 3914, 4993, 610, 3275, 676, 6928, 269, 634, 623, 3415, 18124, 1185, 606, 3328, 6765, 942, 540, 1175, 4557, 2395, 269, 769, 4728, 540, 476, 5908, 272, 267, 14062, 12493, 779, 22305, 1116, 2232, 729, 9447, 689, 27228, 547, 4993, 538, 5722, 2395, 543, 11157, 8696, 3108, 676, 623, 3415, 18124, 269, 6736, 713, 11141, 9740, 267, 519, 623, 3415, 18124, 1152, 16768, 513, 1032, 543, 513, 3368, 1354, 2469, 22625, 269, 1879, 5375, 5742, 6192, 519, 1098, 11666, 1581, 751, 25393, 1899, 538, 17865, 8235, 4975, 538, 5239, 540, 476, 5908, 272, 267, 519, 623, 3415, 18124, 30403, 3028, 1079, 2395, 2663, 269, 769, 519, 562, 31106, 3275, 540, 922, 6228, 267, 623, 3415, 18124, 26348, 1185, 9447, 5176, 476, 3374, 267, 1822, 4773, 540, 13875, 454, 258, 292, 14410, 305, 1442, 307, 22567, 9609, 267, 1948, 305, 8712, 27839, 582, 974, 12041, 267, 1948, 310, 3480, 293, 3224, 1512, 267, 1948, 23208, 293, 2109, 267, 1948, 21579, 3241, 5651, 572, 267, 1948, 5938, 25393, 267, 1948, 303, 3415, 18124, 563, 14188, 596, 585, 707, 1489, 269, 0, 23458, 2360, 593, 7553, 6284, 538, 2937, 19700, 454, 331, 4833, 267, 7553, 6284, 454, 1103, 606, 5051, 18371, 2486, 267, 8226, 543, 1620, 540, 4664, 6829, 676, 2911, 619, 2066, 1114, 4654, 616, 1271, 585, 6209, 543, 2500, 1514, 2792, 269, 634, 3483, 540, 713, 1353, 568, 547, 4983, 1893, 2360, 593, 19700, 685, 2702, 547, 5431, 4664, 267, 4481, 538, 2043, 945, 3717, 2296, 607, 741, 1101, 1893, 269, 16989, 5171, 19557, 547, 5220, 9275, 538, 2296, 543, 962, 528, 383, 373, 321, 5451, 543, 4857, 2436, 519, 2911, 518, 729, 6126, 267, 8909, 267, 14220, 267, 610, 9243, 269, 570, 4689, 4654, 971, 607, 962, 528, 383, 373, 321, 5451, 616, 6353, 676, 811, 13065, 538, 12334, 3379, 547, 2566, 2861, 4654, 971, 607, 2296, 269, 4475, 267, 649, 10567, 602, 2937, 5171, 4171, 1101, 1893, 568, 2296, 786, 723, 811, 7411, 9301, 4664, 538, 962, 528, 383, 373, 321, 5451, 982, 538, 2296, 269, 634, 4681, 540, 713, 1353, 786, 723, 6286, 538, 9750, 938, 1702, 827, 519, 8226, 540, 4664, 538, 1114, 1893, 8658, 269, 898, 786, 849, 948, 721, 1174, 1893, 2360, 593, 7553, 6284, 538, 824, 2027, 5095, 267, 1519, 1453, 12936, 676, 6217, 2530, 563, 15430, 5034, 593, 4989, 476, 736, 267, 476, 1708, 274, 693, 9906, 3194, 4303, 4371, 693, 5839, 292, 9774, 2160, 538, 3798, 3000, 2023, 267, 22598, 563, 5472, 7126, 27616, 0, 763, 8895, 21329, 27625, 1062, 4249, 513, 4105, 1909, 538, 519, 12775, 540, 1973, 689, 4514, 2694, 540, 519, 2634, 269, 901, 27625, 1062, 568, 8329, 676, 1082, 2101, 15532, 269, 1452, 15532, 616, 4092, 6251, 547, 519, 12566, 531, 14189, 1818, 519, 10551, 1935, 538, 713, 3148, 2352, 269, 7102, 23139, 5945, 610, 29473, 2424, 540, 519, 18916, 540, 8895, 523, 1223, 1291, 547, 1821, 8463, 2164, 269, 4935, 267, 4974, 519, 7516, 540, 519, 18916, 540, 8895, 523, 568, 811, 1271, 269, 9747, 267, 649, 6322, 547, 6218, 519, 10641, 5852, 543, 18330, 547, 519, 18916, 540, 8895, 523, 269, 6168, 476, 1911, 17223, 9723, 4919, 9006, 2762, 5638, 941, 11117, 543, 519, 3259, 267, 8006, 540, 18916, 540, 8895, 523, 267, 5086, 1063, 2786, 18980, 543, 18916, 540, 8895, 523, 543, 3845, 689, 4835, 1624, 760, 1388, 1486, 21310, 766, 543, 8122, 540, 8772, 28602, 548, 547, 18916, 540, 8895, 523, 941, 6594, 269, 634, 1611, 3259, 543, 8006, 540, 18916, 540, 8895, 523, 941, 476, 280, 269, 279, 22144, 273, 269, 278, 543, 476, 275, 269, 5400, 22144, 272, 269, 6860, 6606, 269, 634, 1611, 5086, 1063, 2786, 18980, 543, 18916, 540, 8895, 523, 729, 476, 5038, 269, 273, 4113, 269, 634, 1611, 3845, 1063, 5007, 1624, 760, 1388, 1486, 21310, 766, 543, 8122, 540, 8772, 28602, 548, 547, 18916, 540, 8895, 523, 941, 476, 7367, 22144, 277, 269, 280, 543, 476, 3451, 269, 274, 22144, 275, 269, 276, 6606, 269, 3143, 1713, 10641, 6248, 3604, 941, 4767, 1063, 519, 2085, 2516, 607, 1134, 607, 1063, 519, 3023, 338, 269, 634, 2164, 5833, 689, 713, 1353, 949, 581, 5363, 585, 519, 5778, 338, 25973, 976, 538, 1732, 1620, 540, 519, 14169, 540, 519, 8895, 21329, 27625, 1062, 543, 547, 9772, 513, 2922, 10551, 1935, 547, 2087, 519, 12117, 540, 519, 23361, 540, 519, 12566, 531, 14189, 543, 849, 538, 519, 3148, 540, 18916, 540, 8895, 523, 563, 29605, 543, 10613, 454, 18183, 26555, 540, 9314, 0, 3963, 1684, 4658, 12532, 2060, 4256, 32243, 4934, 454, 310, 22736, 568, 513, 4909, 1480, 2534, 602, 1034, 540, 721, 798, 1510, 1256, 3206, 827, 621, 269, 1717, 267, 723, 596, 2479, 8068, 602, 930, 1004, 723, 513, 2189, 1259, 540, 6972, 609, 741, 3952, 5828, 856, 2072, 286, 901, 15116, 32376, 4806, 267, 1634, 607, 968, 1729, 4370, 13050, 892, 610, 968, 19769, 532, 609, 3952, 856, 2223, 12651, 513, 4241, 2243, 281, 1946, 798, 1004, 3802, 713, 1259, 286, 769, 713, 2376, 267, 649, 786, 2263, 519, 4128, 3297, 713, 6972, 2511, 543, 7006, 601, 930, 1455, 20887, 2404, 609, 621, 563, 763, 22845, 540, 1677, 324, 268, 11073, 29303, 454, 6524, 18167, 883, 519, 4128, 267, 621, 568, 1271, 547, 1174, 519, 14169, 3297, 23179, 13050, 6972, 269, 29303, 568, 513, 1950, 1184, 602, 3322, 11558, 1063, 1585, 6091, 267, 10549, 267, 543, 7633, 269, 634, 12972, 540, 519, 25637, 267, 19704, 267, 543, 3952, 4249, 513, 2629, 1909, 538, 8159, 835, 779, 6972, 2511, 563, 2691, 513, 1268, 15211, 609, 741, 3952, 856, 267, 621, 1797, 602, 741, 19462, 1448, 2476, 689, 519, 4571, 1467, 540, 741, 1560, 269, 901, 2164, 538, 513, 32376, 4806, 1141, 1142, 3723, 3338, 593, 519, 2666, 609, 606, 21286, 10047, 269, 634, 4110, 540, 547, 4370, 13050, 666, 4268, 1851, 2043, 267, 609, 930, 2348, 513, 811, 14733, 10047, 982, 1866, 563, 3725, 3517, 585, 1677, 324, 268, 11073, 29303, 454, 272, 269, 7849, 29938, 281, 1677, 324, 13050, 6972, 666, 3274, 581, 513, 2067, 8390, 538, 875, 938, 4703, 616, 3710, 269, 3807, 899, 930, 1004, 723, 6923, 1225, 569, 4552, 610, 513, 2189, 3750, 2681, 267, 547, 4370, 13050, 666, 581, 606, 7915, 8984, 563, 273, 269, 23305, 2806, 7538, 885, 281, 769, 930, 2665, 267, 23179, 13050, 6972, 666, 581, 513, 1267, 540, 7293, 17244, 538, 519, 7633, 610, 10549, 269, 17148, 971, 607, 12048, 7988, 25936, 610, 3185, 7394, 512, 832, 542, 666, 2014, 519, 3952, 547, 6923, 2490, 856, 2072, 563, 274, 269, 3281, 18730, 11115, 1143, 281, 1677, 324, 13050, 6972, 666, 849, 581, 513, 9104, 2218, 7271, 547, 13468, 9636, 610, 1928, 538, 824, 2694, 540, 519, 1560, 269, 898, 666, 948, 2043, 23799, 25572, 519, 4452, 543, 2569, 2566, 593, 1808, 10549, 610, 6091, 563, 275, 269, 26298, 1955, 4472, 1734, 281, 31808, 1145, 610, 20817, 538, 1978, 6091, 666, 3565, 547, 23179, 13050, 6972, 269, 1280, 3236, 267, 9395, 1145, 538, 519, 12048, 5007, 4232, 2209, 610, 18604, 12048, 705, 2265, 832, 666, 2014, 519, 3952, 547, 2490, 856, 2072, 563, 276, 269, 13206, 3770, 23694, 281, 1677 ]

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

[ 476, 272, 269, 2412, 645, 630, 271, 269, 866, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 279, 285, 692, 24257, 585, 562, 538, 15044, 263, 295, 2187, 825, 1820, 1412, 260, 273, 323, 4939, 280, 269, 273, 325, 631, 630, 260, 277, 269, 274, 325, 260, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 260, 323, 285, 4939, 323, 262, 4939, 630, 333, 267, 670, 19559, 316, 270, 272, 324, 277, 267, 670, 19559, 30297, 1911, 32220, 13585, 267, 670, 19559, 30297, 4968, 271, 32220, 13585, 267, 562, 994, 1862, 3097, 476, 272, 476, 476, 23417, 4905, 269, 2420, 631, 630, 476, 273, 269, 4200, 279, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 8660, 285, 476, 272, 454, 476, 273, 476, 14530, 27840, 269, 5952, 631, 630, 1704, 269, 4792, 272, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 276, 3066, 285, 476, 273, 454, 476, 274, 476, 13923, 6321, 279, 269, 4343, 631, 630, 736, 269, 276, 1556, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 277, 1428, 285, 476, 274, 454, 476, 275, 476, 11820, 280, 6434, 269, 3451, 631, 630, 1691, 269, 4281, 278, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 4510, 274, 285, 476, 275, 454, 476, 276, 476, 476, 278, 4817, 8660, 269, 3953, 631, 630, 1015, 269, 10384, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 17168, 285, 476, 276, 454, 476, 277, 476, 476, 277, 2537, 11011, 269, 2641, 631, 630, 476, 279, 269, 4343, 279, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 25172, 285, 476, 277, 454, 476, 278, 476, 476, 276, 3445, 7367, 269, 5780, 631, 630, 476, 278, 269, 280, 4375, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 24487, 285, 476, 278, 454, 476, 279, 476, 476, 4510, 273, 5881, 269, 3066, 631, 630, 476, 276, 269, 280, 6246, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 9965, 285, 476, 279, 454, 476, 280, 476, 476, 20065, 6187, 269, 11152, 631, 630, 476, 275, 269, 275, 4391, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 15836, 285, 476, 280, 454, 1015, 476, 476, 25248, 10695, 269, 10019, 631, 630, 476, 274, 269, 5881, 277, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 10844, 285, 476, 1015, 454, 1556, 476, 476, 9873, 7176, 269, 6187, 631, 630, 476, 272, 269, 278, 8618, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 7367, 285, 476, 1556, 454, 1321, 567, 476, 278, 1321, 275, 269, 1428, 631, 630, 476, 271, 269, 4817, 279, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 2764, 285, 476, 1321, 454, 1724, 567, 476, 4343, 276, 271, 269, 6812, 631, 630, 476, 271, 269, 276, 1240, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 1428, 285, 476, 1724, 454, 1691, 567, 476, 13679, 274, 269, 5400, 631, 630, 476, 271, 269, 19442, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 277, 285, 476, 1691, 454, 1428, 825, 476, 276, 4792, 269, 2190, 631, 630, 476, 271, 269, 5881, 277, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 273, 285, 476, 1428, 454, 1626, 825, 476, 14681, 269, 2420, 631, 630, 476, 271, 269, 22903, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 271, 285, 476, 1626, 454, 1704, 672, 476, 7761, 269, 10037, 631, 630, 476, 271, 269, 18089, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 271, 285, 476, 1704, 454, 1240, 672, 476, 2764, 269, 7830, 631, 630, 476, 271, 269, 21916, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 271, 285, 476, 1240, 454, 866, 8587, 476, 279, 269, 7906, 631, 630, 476, 271, 269, 9826, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 271, 285, 476, 866, 454, 736, 8587, 476, 277, 269, 3374, 631, 630, 476, 271, 269, 9826, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 271, 285, 476, 736, 454, 2641, 8587, 476, 271, 269, 1724, 631, 630, 476, 271, 269, 1822, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 271, 285, 476, 2641, 454, 2420, 8587, 476, 271, 269, 10037, 631, 630, 476, 271, 269, 1822, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 271, 285, 476, 2420, 454, 2537, 8587, 476, 271, 269, 3953, 631, 630, 476, 271, 269, 1822, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 271, 285, 476, 2537, 692, 24257, 715, 299, 815, 2040, 263, 9448, 269, 11161, 31156, 24257, 585, 700, 538, 15044, 263, 9448, 267, 1883, 284, 14433, 700, 281, 910, 9448, 314, 299, 316, 2187, 825, 1820, 1412, 260, 338, 4939, 279, 269, 272, 325, 645, 630, 260, 276, 269, 273, 325, 260, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 260, 323, 285, 262, 4939, 630, 299, 267, 31446, 314, 299, 316, 270, 272, 324, 280, 267, 31446, 314, 299, 30297, 1911, 32220, 301, 299, 267, 31446, 314, 299, 30297, 4968, 271, 32220, 301, 299, 994, 2483, 292, 825, 476, 275, 3393, 269, 273, 645, 630, 1321, 269, 5392, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 4391, 275, 11417, 307, 825, 476, 20065, 269, 276, 645, 630, 476, 280, 269, 2764, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 30116, 11417, 288, 825, 476, 30525, 269, 276, 645, 630, 476, 279, 269, 6860, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 25240, 11417, 302, 825, 476, 26604, 269, 274, 645, 630, 476, 278, 269, 5038, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 26631, 11417, 296, 825, 476, 29483, 269, 278, 645, 630, 476, 278, 269, 6872, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 25375, 11417, 301, 825, 476, 27038, 269, 279, 645, 630, 476, 278, 269, 2537, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 24241, 11417, 306, 825, 476, 22446, 269, 272, 645, 630, 476, 277, 269, 7906, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 4198, 11417, 305, 825, 476, 23417, 269, 279, 645, 630, 476, 277, 269, 2764, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 6642, 11417, 295, 825, 476, 5197, 269, 272, 645, 630, 476, 276, 269, 4962, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 14681, 11417, 299, 825, 476, 13970, 269, 271, 645, 630, 476, 275, 269, 5881, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 14338, 11417, 291, 825, 476, 15793, 269, 271, 645, 630, 476, 274, 269, 11025, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 14625, 11417, 290, 825, 476, 15686, 269, 273, 645, 630, 476, 274, 269, 4097, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 1911, 11417, 308, 672, 476, 9032, 269, 274, 645, 630, 476, 273, 269, 10463, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 10037, 11417, 300, 672, 476, 8660, 269, 276, 645, 630, 476, 273, 269, 7906, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 4037, 11417, 293, 672, 476, 5952, 269, 277, 645, 630, 476, 273, 269, 2412, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 7761, 11417, 303, 672, 476, 10602, 269, 272, 645, 630, 476, 273, 269, 1691, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 5038, 11417, 294, 672, 476, 5780, 269, 277, 645, 630, 476, 272, 269, 9262, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 6321, 11417, 310, 672, 476, 6795, 269, 278, 645, 630, 476, 272, 269, 6924, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 2004, 11417, 312, 672, 476, 6795, 269, 274, 645, 630, 476, 272, 269, 5780, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 5392, 11417, 289, 672, 476, 7367, 269, 280, 645, 630, 476, 272, 269, 4366, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 4510, 11417, 309, 672, 476, 4391, 269, 276, 645, 630, 476, 272, 269, 4962, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 4029, 11417, 298, 672, 476, 866, 269, 274, 645, 630, 476, 271, 269, 7918, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 1626, 11417, 311, 8587, 476, 279, 269, 275, 645, 630, 476, 271, 269, 2537, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 278, 11417, 297, 8587, 476, 276, 269, 278, 645, 630, 476, 271, 269, 1626, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 275, 11417, 304, 8587, 476, 275, 269, 274, 645, 630, 476, 271, 269, 1321, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 274, 11417, 313, 8587, 476, 274, 269, 273, 645, 630, 476, 271, 269, 6021, 8472, 2999, 19112, 521, 21683, 6889, 338, 27970, 257, 4463, 284, 1321, 8700, 284, 273, 285, 692, 24257, 667, 273, 815, 562, 13559, 12248, 20573, 267, 476, 273, 2020, 24257, 585, 23356, 538, 15044, 20573, 273, 267, 1883, 284, 14433, 700, 281, 910, 291, 273, 314, 299, 8079, 11468, 2004, 13912, 1820, 1412, 260, 338, 4939, 279, 269, 272, 325, 645, 630, 260, 276, 269, 273, 325, 260, 8472, 2999, 19112, 521, 21683, 6889, 334, 27970, 257, 4463, 284, 1321, 8700, 284, 260, 323, 285, 262, 4939, 630, 978, 267, 667, 273, 314, 978, 316, 270, 272, 324, 280, 267, 667, 273, 314, 978, 30297, 1911, 32220, 301, 273, 267, 667, 273, 314, 978, 30297, 5611, 876, 32220, 301, 273, 2020, 3698, 798, 527, 17347, 284, 1839, 2187, 825, 12523, 815, 1496, 338, 9285, 2421, 263, 978, 1090, 12248, 20573, 267, 562, 4297, 11468, 330, 316, 585, 562, 538, 2039, 263, 273, 267, 476, 1015, 22708, 825, 585, 1775, 538, 2039, 17347, 2187, 1038, 1820, 18011, 672, 29717, 21860, 6262, 870, 5157, 316, 585, 1293, 538, 12523, 26895, 12294, 4590, 12163, 0, 5814, 4351, 454, 5814, 10070, 3097, 5814, 621, 1068, 8962, 8528, 12163, 29228, 540, 5590, 3546, 630, 30681, 7439, 341, 580, 476, 1001, 271, 268, 1001, 276, 2020, 1692, 1419, 798, 5036, 2408, 950, 649, 4308, 606, 5044, 540, 6486, 888, 1692, 1419, 538, 519, 1576, 540, 4730, 856, 519, 3014, 2496, 2080, 616, 519, 1239, 2010, 649, 786, 946, 1384, 825, 3556, 281, 825, 589, 5569, 267, 971, 607, 1412, 274, 305, 284, 271, 3299, 2495, 834, 22764, 2699, 4174, 6244, 9065, 1023, 8487, 825, 16064, 281, 825, 589, 1592, 540, 6486, 267, 7620, 540, 3259, 476, 10037, 563, 825, 11768, 281, 476, 589, 1592, 540, 6486, 267, 7620, 540, 3259, 476, 1321, 563, 825, 1305, 281, 672, 589, 24042, 540, 476, 274, 6486, 563, 825, 30460, 625, 281, 589, 9598, 281, 2715, 1321, 281, 2715, 12148, 281, 476, 3451, 267, 8771, 281, 476, 272, 3686, 348, 1797, 513, 11768, 540, 2450, 476, 1321, 454, 17264, 7381, 1221, 476, 3451, 5036, 543, 476, 272, 1875, 1606, 564, 563, 20701, 2971, 21998, 267, 7231, 6486, 267, 543, 10747, 519, 10206, 540, 5036, 780, 290, 2752, 9169, 815, 1496, 15893, 1341, 2681, 1341, 12094, 1341, 3090, 3097, 1363 ]

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

[ 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 21281, 268, 14813, 4310, 28690, 910, 589, 7073, 3828, 626, 593, 9147, 30094, 720, 692, 296, 269, 4985, 692, 5938, 320, 814, 1044, 513, 2442, 20892, 585, 5215, 540, 1296, 267, 609, 922, 8129, 6580, 1394, 547, 3504, 3624, 269, 4653, 267, 7401, 4616, 5170, 547, 4473, 5001, 1813, 547, 922, 3875, 1072, 2640, 543, 17545, 269, 30459, 7401, 883, 11477, 13144, 4422, 3564, 2757, 28823, 2409, 282, 621, 12857, 2189, 10366, 543, 9422, 5383, 547, 1585, 8286, 269, 901, 3184, 12538, 883, 519, 1148, 540, 7401, 19899, 4310, 11951, 1247, 10223, 2067, 1426, 3681, 543, 1732, 16519, 3917, 537, 5820, 269, 1284, 786, 2263, 875, 713, 6932, 7678, 20383, 609, 1699, 7082, 7375, 2509, 6198, 267, 2030, 2861, 267, 543, 13533, 4189, 5079, 780, 2862, 269, 4197, 21281, 7352, 7724, 543, 4256, 4469, 2948, 4515, 3796, 692, 6524, 11362, 883, 7401, 19899, 4310, 10346, 267, 1577, 721, 1101, 4983, 1114, 2010, 540, 29225, 543, 741, 3982, 8137, 12632, 269, 634, 3119, 6688, 540, 7401, 1331, 3043, 267, 3039, 267, 522, 565, 784, 267, 3109, 267, 543, 16909, 29225, 269, 3962, 1826, 25457, 8795, 5232, 540, 12444, 1436, 1282, 4393, 267, 4611, 538, 3309, 6492, 2833, 8151, 689, 10347, 543, 6371, 344, 547, 7347, 543, 4731, 1399, 4967, 269, 1635, 5432, 1944, 3054, 609, 891, 16082, 267, 596, 666, 3927, 6292, 1808, 29225, 609, 14911, 5820, 267, 7393, 2949, 10444, 9029, 780, 7656, 269, 2657, 11588, 23105, 609, 21281, 29283, 692, 22137, 1397, 602, 2834, 7401, 4616, 949, 3565, 547, 4824, 9025, 1072, 267, 2597, 2359, 267, 2566, 5786, 267, 543, 2799, 2790, 10332, 1145, 269, 1452, 2318, 2360, 6565, 5097, 689, 7401, 781, 3638, 15934, 3601, 267, 25168, 1156, 11169, 267, 524, 622, 577, 1231, 267, 543, 11254, 7408, 899, 700, 7308, 29516, 269, 1879, 1102, 6748, 29225, 883, 707, 5986, 27132, 267, 2015, 16107, 891, 7915, 7907, 547, 1711, 8286, 5009, 8171, 543, 3666, 780, 4353, 269, 26943, 2435, 10241, 540, 21281, 5606, 4288, 692, 288, 269, 27804, 1186, 1299, 7935, 2195, 692, 4504, 18166, 7401, 607, 513, 3490, 5277, 585, 27130, 543, 2156, 2195, 2488, 11029, 19804, 9564, 896, 2023, 525, 1510, 4946, 7050, 9770, 610, 5841, 10366, 269, 1280, 3236, 267, 6220, 3039, 7401, 883, 513, 3765, 334, 17339, 11600, 791, 11301, 3606, 14434, 1247, 6173, 908, 519, 8670, 781, 3618, 344, 9043, 269, 6684, 267, 1210, 669, 2967, 17898, 5367, 887, 334, 756, 657, 7401, 3079, 540, 1216, 585, 21378, 559, 27130, 8591, 14246, 543, 6988, 780, 289, 269, 28397, 806, 1299, 3057, 514, 3547, 692, 11321, 11538, 7401, 609, 15755, 3334, 971, 607, 16693, 610, 20521, 10433, 5932, 6422, 14036, 20214, 4998, 585, 10571, 902, 267, 18138, 27156, 267, 610, 2261, 514, 3547, 269, 6333, 16471, 795, 11047, 710, 7401, 609, 7573, 9174, 16693, 267, 20909, 267, 13342, 267, 543, 13386, 14036, 585, 606, 7489, 30816, 642, 2088, 580, 4958, 974, 269, 17968, 267, 2119, 1102, 6748, 3109, 7401, 883, 536, 1023, 25271, 5786, 585, 606, 6397, 6335, 593, 5929, 2848, 752, 2261, 514, 1228, 780, 290, 269, 645, 1136, 1299, 12815, 787, 10241, 692, 28885, 32314, 7401, 3762, 883, 3819, 12146, 23399, 2636, 585, 15774, 5610, 1369, 10627, 1562, 543, 14859, 338, 269, 26969, 320, 3039, 7401, 267, 585, 1383, 267, 561, 1742, 3294, 18991, 547, 3943, 5672, 541, 976, 267, 2110, 30103, 12897, 267, 610, 1256, 29902, 521, 935, 525, 269, 3958, 267, 23778, 27578, 7401, 8424, 24215, 1134, 609, 4158, 10217, 1476, 30708, 1107, 1589, 1854, 742, 956, 610, 544, 28907, 1107, 5356, 16990, 15280, 4967, 17804, 519, 29284, 540, 23342, 17571, 780, 291, 269, 30094, 1137, 692, 22091, 21505, 3564, 6671, 3905, 7401, 7041, 10741, 909, 11995, 7399, 585, 13167, 5499, 1875, 17038, 4022, 545, 543, 23931, 16098, 269, 10812, 9256, 4411, 1532, 4319, 539, 29225, 609, 4195, 5613, 267, 27386, 338, 267, 610, 31394, 7297, 585, 24253, 838, 761, 345, 619, 610, 989, 340, 553, 23906, 322, 553, 269, 5047, 267, 4603, 609, 7401, 19899, 4310, 15483, 339, 5661, 676, 2655, 23082, 2241, 861, 745, 1186, 609, 9932, 1606, 11548, 2989, 7401, 30211, 610, 9001, 28655, 29225, 547, 1039, 3178, 543, 1915, 547, 22090, 4486, 2861, 5391, 725, 780, 309, 269, 10390, 692, 21615, 571, 1424, 7401, 19899, 4310, 11951, 6087, 22730, 543, 1753, 29397, 7567, 547, 7148, 883, 513, 5318, 5044, 540, 10366, 543, 1072, 2640, 2404, 609, 713, 15851, 20892, 269, 1306, 6800, 3136, 5275, 856, 2973, 6003, 267, 2030, 268, 3453, 267, 543, 11455, 18226, 2833, 267, 10128, 7401, 883, 4948, 6980, 3587, 5051, 4143, 543, 13267, 269, 3414, 6857, 13345, 540, 1164, 7779, 7401, 8677, 543, 6427, 633, 3156, 267, 596, 1932, 666, 3565, 547, 713, 24567, 3350, 14120, 1312, 8819, 1258, 13929, 12257, 543, 14312, 2713, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 5978, 5993, 5180, 1575, 540, 519, 1655, 10685, 1587, 31782, 540, 519, 2250, 1032, 3091, 606, 25819, 540, 23602, 689, 782, 2694, 540, 519, 513, 529, 956, 563, 2005, 781, 602, 942, 1586, 267, 950, 28626, 23108, 1356, 781, 19023, 15769, 267, 29211, 676, 513, 20314, 550, 540, 11235, 512, 7539, 693, 938, 14948, 4975, 267, 715, 12282, 1421, 5604, 1765, 1278, 3772, 1634, 607, 1715, 8605, 6239, 1765, 1326, 547, 3732, 513, 3376, 5542, 540, 519, 8645, 540, 519, 10685, 1587, 7693, 563, 3719, 5103, 782, 540, 519, 1187, 649, 1185, 4155, 2389, 20535, 865, 1082, 1390, 3688, 267, 519, 1184, 540, 32560, 1524, 519, 3803, 23602, 729, 1100, 2653, 4305, 267, 2016, 519, 6297, 18064, 3130, 649, 4294, 547, 519, 1082, 9867, 13366, 602, 3357, 938, 1259, 563, 2026, 2141, 267, 711, 782, 2472, 1500, 519, 2759, 267, 855, 585, 519, 3903, 3283, 602, 1705, 267, 513, 1906, 29810, 3466, 1851, 5063, 5950, 2472, 11593, 7153, 563, 289, 21392, 16519, 3917, 537, 3536, 267, 1519, 1346, 13389, 971, 7463, 22097, 607, 15347, 6954, 267, 616, 1631, 811, 13416, 982, 2479, 267, 609, 741, 2635, 10300, 334, 711, 782, 19774, 676, 606, 17697, 630, 663, 1034, 10950, 264, 12402, 4724, 18656, 10885, 269, 11569, 267, 646, 320, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 2910, 19170, 1315, 16930, 23123, 1315, 7849, 16639, 1315, 21281, 268, 14813, 4310, 28690, 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, 26426, 20400, 568, 513, 3532, 8579, 4480, 1031, 538, 6530, 543, 824, 4610, 547, 30075, 543, 17412, 519, 2164, 540, 2789, 4830, 2090, 602, 2232, 513, 1455, 1382, 2243, 269, 1635, 9256, 1239, 689, 1896, 2090, 267, 3173, 666, 2333, 8579, 1379, 267, 7447, 811, 10502, 519, 2360, 540, 1719, 267, 543, 2697, 3270, 543, 2959, 540, 8390, 2066, 2090, 269, 769, 713, 3184, 267, 649, 786, 2263, 519, 1523, 540, 13849, 20400, 538, 3178, 267, 2519, 593, 922, 3156, 267, 2409, 267, 2640, 267, 543, 7687, 269, 1284, 786, 849, 9414, 875, 13849, 20400, 814, 1044, 4294, 547, 519, 1353, 540, 4965, 2359, 538, 2550, 609, 3987, 543, 13119, 538, 1970, 268, 543, 1647, 13867, 2477, 630, 299, 300, 2975, 338, 1070, 607, 4330, 538, 519, 1349, 1657, 780, 2162, 9502, 543, 21929, 324, 540, 26426, 268, 26046, 692, 4263, 922, 4295, 267, 13849, 20400, 568, 513, 11050, 1505, 585, 10128, 543, 9236, 519, 4681, 540, 2789, 3119, 2090, 1210, 8579, 2553, 269, 634, 2165, 834, 5471, 320, 20400, 257, 729, 1101, 22579, 676, 22319, 19371, 538, 476, 3192, 277, 267, 945, 3989, 621, 607, 834, 1492, 2079, 540, 9382, 2437, 10452, 922, 1909, 538, 13754, 1944, 4540, 1702, 6508, 689, 3105, 12170, 13753, 269, 4595, 1287, 267, 13849, 20400, 814, 1831, 513, 4922, 7608, 543, 9565, 1907, 538, 1082, 3621, 10459, 267, 1519, 6530, 267, 2069, 267, 4915, 267, 1857, 1072, 267, 1870, 267, 543, 3609, 6268, 780, 2467, 616, 1896, 4128, 1946, 13849, 20400, 814, 6591, 971, 8560, 543, 23146, 269, 3689, 267, 13849, 20400, 2636, 3173, 547, 7753, 930, 540, 519, 7915, 7687, 540, 1367, 2090, 267, 971, 607, 1507, 3732, 7306, 267, 3908, 2489, 714, 1464, 267, 543, 6482, 5470, 269, 1635, 7535, 532, 1239, 689, 2789, 2090, 267, 13849, 12845, 3315, 7370, 666, 3035, 3152, 8856, 267, 6111, 267, 543, 10727, 982, 1022, 2582, 1353, 1223, 1683, 269, 5822, 267, 13849, 20400, 6087, 3173, 547, 4983, 519, 11007, 267, 19427, 267, 543, 27754, 540, 4681, 2066, 1114, 5439, 267, 5468, 267, 543, 3800, 269, 901, 13354, 5133, 666, 7866, 1312, 7347, 543, 4756, 2360, 267, 1217, 7811, 9840, 267, 543, 2303, 1007, 18817, 585, 7634, 269, 12059, 267, 13849, 20400, 2488, 513, 12001, 267, 18187, 762, 267, 543, 19469, 1935, 547, 1702, 13250, 267, 4227, 21336, 3599, 267, 9186, 267, 543, 3653, 538, 1382, 269, 1635, 13754, 1944, 4540, 2963, 267, 13849, 20400, 666, 948, 2061, 11991, 5918, 6473, 540, 4674, 267, 3895, 3608, 4199, 14305, 267, 543, 6536, 3356, 4724, 16460, 10296, 2055, 780, 2162, 17778, 538, 18430, 532, 513, 26426, 268, 26046, 692, 3519, 2265, 532, 513, 1164, 7779, 13849, 20400, 3322, 1896, 3268, 267, 799, 2154, 6297, 4058, 267, 11056, 267, 543, 8989, 269, 1452, 3268, 616, 13890, 2630, 267, 2059, 609, 741, 24117, 543, 2591, 780, 2971, 5153, 476, 272, 281, 4813, 6819, 3194, 5999, 543, 23738, 12330, 692, 6524, 25054, 593, 513, 13849, 20400, 267, 3173, 1058, 24808, 2312, 267, 5059, 267, 543, 4143, 1382, 2055, 543, 19165, 602, 3391, 741, 5542, 267, 8193, 267, 543, 2079, 540, 2090, 269, 1280, 1383, 267, 1759, 593, 519, 1349, 1657, 267, 513, 2009, 1382, 2243, 1223, 581, 281, 1548, 568, 519, 2949, 1198, 2450, 540, 4965, 2359, 7459, 593, 29944, 1852, 543, 1973, 2604, 5786, 1851, 4079, 609, 3987, 543, 13119, 538, 30838, 2975, 338, 286, 589, 7222, 8367, 1522, 581, 281, 22702, 547, 8912, 1416, 610, 1100, 2126, 267, 4965, 2359, 7459, 1291, 547, 1713, 9283, 538, 24562, 589, 272, 322, 2157, 543, 30918, 4301, 7933, 328, 770, 4301, 1973, 2604, 2418, 1851, 4079, 609, 3987, 543, 13119, 538, 30838, 2975, 338, 780, 2005, 568, 1898, 547, 14574, 519, 2551, 267, 6304, 267, 6476, 267, 6364, 267, 543, 4259, 630, 303, 2975, 5308, 264, 7355, 950, 1106, 6819, 1382, 2055, 543, 19165, 269, 901, 5849, 602, 1152, 2090, 602, 2743, 891, 7355, 616, 3769, 538, 519, 13849, 20400, 267, 7393, 4630, 23189, 267, 10083, 267, 543, 4612, 1464, 269, 5047, 267, 28408, 623, 2975, 5308, 7355, 2337, 7413, 30846, 267, 9186, 267, 543, 1476, 15929, 2188, 602, 949, 1860, 519, 14496, 543, 2489, 714, 1464, 540, 519, 4681, 780, 2971, 5153, 476, 273, 281, 9612, 532, 543, 30587, 5525, 692, 5629, 519, 1382, 2055, 543, 19165, 723, 1044, 3964, 267, 519, 1985, 1900, 568, 547, 3406, 543, 5496, 5732, 14718, 2090, 269, 901, 1184, 3335, 3322, 2185, 5933, 281, 630, 320, 264, 10747, 10014, 543, 17181, 7355, 282, 630, 321, 264, 7114, 4143, 12240, 543, 17161, 282, 630, 322, 264, 13098, 1324, 543, 8939, 4930, 282, 543, 630, 323, 264, 10442, 1981, 540, 9186, 543, 2298, 4879, 780, 5575, 267, 3173, 1590, 5581, 7453, 267, 8763, 267, 543, 12001, 10014, 543, 17181, 7355, 602, 5447, 609, 741, 1382, 2055, 543, 19165, 269, 6201, 540, 25046, 7355, 1331, 8313, 1032, 267, 1893, 267, 1374, 267, 5171, 267, 6304, 267, 6476, 267, 6364, 267, 543, 2796, 269, 898, 568, 2629, 547, 2057, 1373, 1932, 8537, 610, 12600, 693, 713, 3942, 1317, 13061, 610, 21678, 2090, 949, 14207, 519, 4835, 543, 5007, 14496, 540, 519, 13849, 20400, 780, 13553, 267, 3173, 1058 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1614, 11775, 540, 2339, 693, 602, 1808, 2604, 543, 2837, 269, 1109, 17957, 267, 952, 2604, 568, 1164, 543, 2837, 568, 1970, 519, 5123, 6516, 9598, 919, 513, 4396, 814, 519, 9803, 24855, 18582, 2125, 1648, 269, 1109, 634, 1225, 1324, 2699, 3515, 538, 519, 4137, 616, 5123, 6302, 543, 1397, 941, 693, 1808, 12503, 543, 5210, 1312, 11775, 616, 693, 11466, 269, 1109, 634, 10222, 921, 1448, 786, 581, 5941, 538, 3152, 1469, 2417, 593, 855, 585, 519, 4090, 621, 1810, 919, 513, 1808, 2837, 543, 2604, 1141, 782, 1614, 11775, 616, 693, 11466, 269, 1109, 634, 3803, 29810, 1448, 593, 519, 5123, 6516, 568, 519, 2565, 1448, 269, 1109, 634, 2565, 1448, 18575, 513, 1448, 941, 693, 513, 2837, 2362, 982, 519, 2565, 1448, 519, 6219, 568, 513, 2706, 2565, 5714, 269, 1109, 630, 2690, 513, 2689, 540, 2706, 2565, 5714, 3277, 547, 11000, 476, 273, 4967, 24355, 309, 8388, 16242, 692, 309, 8388, 2604, 568, 1655, 6956, 676, 31935, 513, 6986, 5277, 1958, 1078, 538, 513, 20177, 8708, 269, 1109, 2755, 519, 5318, 5354, 540, 519, 6675, 540, 519, 6219, 616, 538, 519, 5277, 5123, 855, 930, 723, 519, 1648, 547, 9101, 547, 519, 3154, 5123, 269, 1109, 1452, 3154, 5123, 6675, 616, 16290, 676, 519, 8708, 543, 1152, 865, 1082, 666, 1628, 909, 543, 11851, 513, 2604, 269, 1109, 634, 11517, 2604, 568, 519, 2604, 540, 891, 3154, 6675, 693, 11466, 609, 519, 5277, 538, 519, 8708, 269, 1109, 589, 2034, 1383, 568, 519, 6704, 6177, 602, 729, 3254, 538, 1362, 269, 1109, 1879, 519, 6177, 779, 2212, 546, 2354, 883, 1216, 267, 519, 1216, 568, 6537, 883, 519, 26703, 538, 621, 779, 581, 752, 269, 1109, 4634, 1498, 519, 1216, 568, 513, 5277, 267, 930, 540, 519, 1216, 1965, 7870, 538, 547, 519, 11517, 5123, 267, 9023, 519, 3154, 538, 519, 2212, 267, 13059, 519, 6177, 547, 621, 779, 7299, 2990, 2394, 519, 1216, 18493, 919, 4625, 780, 8138, 3916, 566, 11517, 2604, 568, 11517, 538, 11466, 609, 513, 4396, 780, 263, 8201, 476, 275, 264, 16503, 1674, 540, 11517, 2604, 538, 20177, 8708, 692, 22517, 4979, 8672, 692, 288, 1455, 1505, 585, 8600, 18437, 610, 7573, 568, 547, 14974, 621, 269, 1109, 14333, 568, 4294, 547, 1426, 24760, 538, 1216, 2394, 519, 1216, 18616, 269, 1109, 1809, 568, 519, 5250, 540, 18616, 606, 4977, 16315, 540, 14495, 286, 1741, 26457, 11946, 1227, 267, 14495, 568, 950, 513, 5277, 568, 4847, 547, 11884, 11517, 1125, 269, 1109, 1280, 713, 547, 2049, 267, 519, 11517, 2604, 540, 606, 1930, 8708, 1590, 3160, 5007, 2604, 630, 514, 519, 2013, 540, 14495, 18437, 713, 568, 11626, 2604, 1040, 1109, 634, 18616, 8375, 689, 519, 1494, 616, 11517, 1242, 1216, 8375, 547, 519, 1283, 540, 519, 1216, 269, 1109, 634, 4890, 2837, 941, 519, 5007, 2604, 568, 3160, 547, 11517, 2604, 568, 5219, 547, 607, 14495, 2837, 269, 1109, 901, 568, 519, 5934, 2837, 2877, 547, 581, 3035, 3020, 14495, 780, 1892, 476, 13725, 2311, 476, 272, 693, 332, 269, 14495, 2837, 568, 5219, 547, 607, 3339, 14495, 1448, 630, 307, 321, 994, 1892, 5788, 3396, 1741, 2311, 476, 272, 3046, 269, 14495, 2837, 568, 5219, 547, 607, 3044, 14495, 1448, 692, 10303, 476, 272, 3046, 568, 513, 3787, 4130, 982, 476, 272, 693, 332, 269, 9208, 14495, 1448, 568, 5768, 3373, 4130, 602, 3339, 14495, 1448, 780, 22517, 4979, 1152, 4386, 538, 606, 1930, 8708, 269, 1109, 1403, 519, 8708, 568, 12699, 855, 6806, 267, 607, 519, 2837, 4422, 909, 267, 519, 11517, 2604, 543, 519, 5860, 540, 519, 11517, 4679, 269, 1109, 2311, 519, 1482, 942, 267, 519, 5860, 540, 519, 5277, 7444, 6175, 269, 1109, 1403, 519, 8022, 5170, 267, 5555, 519, 5860, 540, 519, 11517, 11224, 519, 5860, 540, 519, 6967, 5277, 543, 519, 1079, 3982, 11775, 14897, 269, 1109, 901, 2837, 568, 1572, 519, 2565, 2837, 630, 307, 322, 1040, 1109, 634, 11517, 2604, 693, 519, 2565, 2837, 568, 5219, 547, 607, 2565, 2604, 630, 303, 322, 1040, 1109, 26361, 713, 2565, 2837, 267, 3079, 540, 513, 17386, 2627, 1063, 1079, 11775, 267, 1152, 835, 5123, 6818, 1572, 513, 2706, 322, 15560, 5714, 780, 263, 8201, 476, 276, 264, 5231, 16503, 1674, 540, 2565, 1448, 538, 20177, 8708, 269, 6892, 513, 4700, 28966, 630, 323, 1046, 4544, 264, 1373, 12699, 267, 11517, 2604, 630, 2775, 4544, 264, 568, 1970, 269, 3396, 536, 4700, 1261, 908, 5170, 267, 11517, 2604, 4679, 267, 5860, 540, 5277, 11081, 269, 6892, 524, 4700, 570, 290, 267, 543, 7193, 6913, 267, 11517, 543, 5277, 723, 1831, 2706, 322, 15560, 5714, 692, 27839, 1154, 18745, 543, 10222, 921, 18745, 692, 27839, 1154, 2837, 568, 519, 2837, 1141, 519, 4396, 543, 5277, 11775, 540, 513, 6219, 693, 513, 1305, 2604, 693, 11466, 30598, 269, 634, 16171, 2837, 568, 519, 1482, 607, 519, 13621, 2837, 1317, 6878, 19068, 693, 519, 1482, 2837, 602, 789, 15835, 269, 1109, 901, 666, 581, 3308, 1242, 676, 606, 4672, 13306, 13621, 950, 5116, 538, 606, 1604, 602, 568, 2362, 982, 476, 271, 595, 267, 855, 5277, 1216, 1863, 8240, 883, 4672, 538, 606, 1604, 602, 568, 693, 2547, 476, 271, 290, 269, 1109, 1306, 568, 2147, 547, 14495, 1448, 267, 3339, 16171, 1448, 630, 307, 335, 264, 568, 519, 16171, 2837, 1141, 519, 2604, 568, 476, 272, 693, 332, 269, 1109, 19452, 267, 3044, 16171, 1448, 568, 519, 16171, 1448, 950, 519, 2604, 568, 476, 272, 3046, 269, 1109, 634, 3339, 16171, 1448, 666, 849, 581, 1572, 519, 3339, 13621, 1448, 269, 1109, 634, 1448, 1141, 782, 1614, 11775, 2291, 8195, 538, 513, 3501, 11466, 568, 519, 17784, 1448, 543, 666, 581, 2938, 593, 519, 5123, 6516, 269, 630, 8201, 476, 272, 264, 1109, 1280, 782, 1614, 11775, 547, 2291, 267, 1312, 2604, 543, 2837, 1590, 581, 3169, 269, 1109, 589, 13581, 11539, 786, 2014, 693, 2547, 835, 540, 519, 11775, 547, 1100, 3476, 2291, 269, 1109, 1280, 6986, 1216, 267, 519, 17784, 1448, 568, 476, 24129, 269, 1626, 918, 543, 476, 277, 1556, 14529, 780, 16248, 7151, 18001, 30894, 692, 263, 8201, 476, 277, 264, 1109, 4942, 848, 12810, 540, 3327, 8166, 269, 1109, 3245, 519, 1657, 4137, 621, 2009, 547, 2491, 1946, 3819, 4672, 630, 338, 13521, 3327, 8166, 264, 1016, 3916, 919, 693, 11626, 2604, 269, 1109, 1677, 1294, 5277, 3327, 8166, 267, 2604, 1590, 581, 2799, 547, 693, 2547, 476, 276, 269, 1321, 4694, 12742, 780, 263, 8201, 476, 278, 264, 1741, 18001, 12810, 540, 4826, 269, 1109, 8074, 519, 3875, 4396, 11775, 540, 1216, 630, 296, 29930, 296, 1040, 1109, 1452, 616, 1114, 14883, 725, 3361, 676, 22198, 4474, 540, 7250, 7554, 538, 1216, 779, 2189, 1930, 2497, 269, 1109, 1358, 616, 1152, 2938, 693, 1164, 12503, 692, 263, 8201, 476, 279, 264, 18001, 12810, 540, 4477, 1756, 269, 1109, 8074, 519, 10486, 547, 3327, 8166, 269, 1109, 3509, 12222, 5526, 930, 1018, 2147, 692, 307, 615, 332, 19392, 540, 18001, 3690, 1431, 692, 300, 6897, 18582, 2125, 1648, 630, 294, 332, 264, 568, 1271, 585, 8159, 5123, 13289, 543, 666, 581, 1572, 3114, 1761, 630, 19031, 1040, 476, 1109, 2690, 513, 5123, 5912, 547, 2049, 519, 11775, 1590, 581, 513, 11466, 269, 26457, 17871, 4214, 540, 11466, 281, 950, 11466, 6818, 267, 519, 3114, 1761, 630, 19031, 264, 1590, 581, 7833, 2429, 519, 3732, 1100, 2339, 875, 1082, 11775, 616, 1459, 780, 263, 8201, 476, 280, 264, 16503, 1674, 540, 26457, 17871, 4982, 10329, 269, 1109, 4634, 1498, 972, 616, 1079, 11775, 538, 519, 3732, 267, 519, 3114, 30372, 616, 519, 1482, 865, 519, 1062, 568, 693, 11466, 692, 2252, 519, 2837, 568, 1970, 267, 607, 1279, 607, 519, 2604, 568, 711, 1932, 1970, 267, 4396, 5123, 814, 519, 9803, 3114, 1761, 543, 568, 519, 1034, 7123, 269, 1109, 11906, 1761, 2242, 609, 2837, 269, 901, 1689, 6941, 1946, 972, 616, 5123, 2242, 538, 513, 6219, 780, 1607, 666, 581, 3254, 676, 519, 13576, 4834, 692, 263, 13420, 566, 476, 272, 2020, 263, 13420, 566, 476, 273, 2020, 763, 1101, 3830, 18575, 602, 607, 2837, 14380, 3114, 1761, 3526, 525, 269, 1109, 8641, 532, 13179, 5288, 269, 570, 267, 519, 9386, 3587, 588, 2465, 704, 519, 2362, 519, 2837, 267, 543, 3976, 519, 2362, 519, 23811, 269, 1109, 634, 2034, 3830, 13602, 13179, 1996, 2604, 267, 6029, 519, 9386, 568, 3160, 547, 24855, 4320, 269, 1109, 4935, 267, 9870, 519, 2604, 12651, 13179, 780, 263, 8201, 476, 1015, 264, 11906, 15783, 630, 19031, 264, 5288, 269, 31301, 520, 340, 699, 269, 1109, 8074, 519, 4396, 4544, 1899, 2982, 9803, 3114, 1761, 267, 543, 713, 5207, 6617, 585, 513, 1880, 5123, 693, 513, 1808, 2837, 269, 0, 258, 12430, 10789, 692, 32046, 281, 3933, 267, 476, 2190, 9484, 476, 1001, 279, 454, 8310, 8242, 281, 11205, 267, 476, 736, 4924, 476, 1001, 280, 692, 309, 10725, 5624, 616, 3989, 936, 513, 2361, 4399, 24837, 346, 293, 20954, 1247, 5119, 13366, 666, 581, 6074, 689, 2609, 540, 862, 32477, 8258, 4399, 24837, 346, 298, 31859, 1012, 595, 599, 2917, 6953, 15071, 11532, 692, 259, 288, 815, 1422, 8218, 21421, 348, 476, 272, 1299, 476, 273, 8607, 476, 273, 1299, 476, 272, 1422, 754, 21421, 10592, 7445, 14433, 815, 476, 272, 267, 476, 274, 259, 616, 519, 27744, 267, 799, 666, 581, 5462, 676, 6061, 1269, 30956, 10490, 910, 1422, 14433, 594, 264, 815, 476, 271, 16859, 763, 595, 599, 2917, 6953, 15071, 11532, 2829, 602, 18159, 288, 910, 1422, 14433, 318, 272, 594, 264, 1422, 24126, 630, 288, 910, 1422, 14433, 5332, 594, 264, 815, 476, 271, 259, 282, 8754, 519, 5119, 666, 581, 3815, 1242, 607, 4399, 8218, 21421, 348, 476, 272, 1299, 476, 272, 8607, 476, 272, 1299, 476, 272, 1422, 754, 21421, 4151, 543, 4399, 8218, 21421, 348, 910, 272, 1299, 476, 272, 8607, 476, 272, 1299, 910, 272, 1422, 754, 21421, 10592, 292, 3394, 19066, 4399, 13992, 28452, 4151, 666, 581, 5833, 676, 6061, 1269, 288, 1422, 13992, 28452, 348, 815, 1422, 14433, 1422, 13992, 28452, 31859, 1012, 10318, 5364, 692, 763, 24572, 1599, 1269, 291, 259, 3651, 338, 547, 1142, 1269, 333, 1422, 9392, 562, 259, 5119, 267, 513, 22185, 269, 898, 568, 562, 31059, 267, 20367, 267, 543, 1269, 291, 263, 296, 264, 815, 476, 272, 16859, 333, 31059, 1797, 281, 602, 585, 1142, 1269, 328, 8961, 1269, 291, 259, 568, 5276, 936, 519, 1269, 328, 3867, 628, 4151, 4737, 267, 5329, 782, 824, 9343, 6378, 1269, 291, 7268, 10401, 10983, 1341, 524, 315, 10401, 3709, 328, 262, 16585, 815, 667, 7268, 10401, 10983, 264, 1341, 524, 291, 7268, 10401, 3709, 328, 262, 16585, 6911, 21446, 908, 1797, 1384, 272, 269, 1403, 1079, 9343, 538, 1269, 288, 259, 616, 3160, 267, 1269, 291, 10490, 264, 815, 476, 271, 14204, 273, 269, 1403, 1269, 288, 262, 259, 568, 519, 5119, 649, 1205, 676, 954, 577, 4474, 1079, 9343, 540, 1269, 288, 8961, 1287, 1269, 291, 10490, 10807, 815, 910, 291, 10490, 22491, 1103, 1496, 322, 14394, 7308, 648, 6776, 2474, 28488, 270, 551, 270, 272, 258, 11499, 20675, 4146, 1070, 519, 24572, 568, 513, 2067, 7004, 4399, 339, 879, 2433, 1422, 3667, 8578, 346, 10135, 978, 348, 1422, 13569, 564, 3189, 12712, 2280, 7346, 21375, 348, 1422, 3667, 8578, 346, 26364, 335, 23201, 0, 258, 13207, 1456, 18696, 3493, 21090, 692, 1012, 1548, 568, 519, 13207, 1456, 3493, 21090, 6396, 2496, 763, 19394, 3666, 28595, 1505, 568, 1031, 547, 5173, 519, 5993, 28595, 13258, 540, 513, 6378, 10697, 780, 763, 19394, 3666, 1505, 3006, 5219, 547, 607, 4227, 3666, 267, 568, 513, 4122, 1031, 1505, 540, 12719, 519, 28595, 5279, 585, 606, 10697, 780, 763, 28595, 5279, 568, 2016, 676, 519, 19394, 3666, 28595, 4542, 607, 5205, 1384, 5719, 743, 1456, 18696, 3493, 21090, 815, 15580, 1535, 4880, 3883, 10025, 540, 519, 674, 12089, 2667, 564, 692, 8489, 912, 31948, 568, 519, 6378, 6871, 2557, 563, 15187, 3883, 10025, 568, 519, 3312, 1942, 1447, 19017, 28595, 547, 4266, 593, 519, 10697, 780, 7712, 519, 2121, 1433, 1871, 568, 19394, 1142, 1032, 267, 519, 28595, 5279, 786, 7771, 1142, 1032, 780, 763, 1505, 568, 1031, 607, 621, 859, 839, 856, 519, 2698, 1942, 540, 606, 10697, 547, 519, 1870, 269, 634, 1942, 540, 606, 10697, 7363, 13408, 28595, 543, 18203, 543, 5826, 269, 4635, 519, 19394, 3666, 1505, 267, 519, 28595, 23229, 936, 942 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5228, 530, 330, 16818, 577, 1104, 7060, 564, 692, 3698, 1449, 7272, 10183, 564, 10031, 825, 5727, 2252, 1305, 589, 814, 562, 2609, 982, 623, 10490, 264, 814, 476, 273, 22397, 379, 2609, 27969, 454, 825, 589, 815, 1412, 29582, 7055, 825, 7682, 7003, 9638, 10183, 564, 4877, 10183, 564, 10490, 4297, 2652, 476, 273, 1262, 6352, 10490, 994, 825, 645, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 2639, 825, 7682, 7003, 9638, 10183, 564, 4877, 10183, 564, 16360, 4297, 2652, 476, 273, 1262, 6352, 16360, 994, 825, 595, 815, 11713, 825, 7682, 7003, 9638, 10183, 564, 4877, 10183, 564, 18154, 4297, 2652, 476, 273, 1262, 6352, 18154, 994, 0, 258, 7728, 305, 4696, 288, 454, 5814, 15259, 454, 657, 269, 17882, 2891, 743, 338, 5602, 4289, 320, 5332, 558, 3691, 17342, 2639, 4289, 320, 14682, 2784, 334, 17342, 2639, 4289, 320, 5091, 14269, 17342, 2639, 4289, 320, 318, 15479, 657, 17342, 2639, 295, 528, 9222, 318, 290, 2720, 657, 17342, 2639, 4289, 320, 318, 777, 749, 18480, 17342, 2639, 328, 815, 476, 271, 454, 258, 24165, 290, 2464, 302, 692, 2745, 2891, 1366, 955, 289, 1329, 1597, 18480, 620, 589, 3121, 14044, 1366, 955, 257, 9239, 333, 633, 331, 815, 3403, 2891, 28808, 516, 572, 647, 562, 633, 331, 1534, 520, 16343, 283, 22958, 7559, 522, 27116, 340, 663, 7559, 285, 281, 834, 1040, 12294, 4590, 6112, 562, 633, 331, 8206, 6889, 27146, 7559, 257, 543, 562, 633, 331, 11203, 834, 5913, 1495, 7559, 13426, 825, 1820, 2891, 9339, 268, 13286, 9339, 268, 8442, 3097, 825, 562, 633, 331, 815, 3403, 2891, 28808, 25564, 1714, 562, 633, 331, 1534, 520, 16343, 2953, 334, 281, 834, 2020, 604, 562, 633, 331, 2652, 257, 5913, 1495, 7559, 257, 2433, 1038, 454, 825, 1178, 4777, 284, 703, 9272, 2891, 28808, 25564, 1714, 1178, 4777, 6446, 1609, 553, 17400, 18372, 281, 27328, 825, 1247, 1178, 4777, 3436, 476, 276, 912, 1038, 1820, 2891, 955, 268, 13286, 955, 268, 5602, 1038, 1178, 4777, 815, 703, 9272, 2891, 28808, 25564, 1714, 1178, 4777, 2953, 334, 281, 834, 11723, 604, 562, 633, 331, 2652, 257, 27146, 7559, 257, 10778, 825, 1178, 4777, 284, 703, 9272, 2891, 28808, 25564, 1714, 1178, 4777, 6446, 1609, 553, 17400, 18372, 281, 834, 11723, 825, 1247, 1178, 4777, 3436, 476, 277, 912, 1038, 1820, 2891, 955, 268, 13286, 955, 268, 5602, 1038, 1178, 4777, 815, 703, 9272, 2891, 28808, 25564, 1714, 1178, 4777, 2953, 334, 281, 834, 4297, 1363, 3097, 17264, 692, 539, 611, 815, 703, 9272, 2891, 28808, 25564, 8913, 1196, 611, 281, 27328, 6112, 6936, 912, 825, 952, 1196, 611, 3436, 476, 1240, 912, 1038, 1820, 2891, 9339, 268, 13286, 9339, 5602, 1038, 1820, 2891, 28808, 516, 572, 3611, 334, 2953, 334, 5602, 1038, 1196, 611, 815, 703, 9272, 2891, 28808, 25564, 8913, 1196, 611, 281, 27328, 825, 3116, 912, 1038, 2736, 692, 1723, 5586, 1470, 815, 3403, 2891, 28808, 25564, 1714, 9930, 3691, 632, 8913, 1071, 5586, 1470, 281, 19515, 6112, 6936, 912, 825, 952, 1071, 5586, 1470, 2652, 834, 13426, 1038, 1820, 2891, 13286, 267, 3824, 516, 572, 3611, 334, 2953, 334, 5602, 1038, 1071, 5586, 1470, 815, 3403, 2891, 28808, 25564, 1714, 9930, 3691, 632, 8913, 1071, 5586, 1470, 281, 19515, 825, 3116, 912, 1038, 2736, 692, 333, 558, 3691, 815, 3403, 2891, 292, 30533, 320, 647, 9930, 3691, 281, 19515, 6112, 6936, 912, 825, 952, 9930, 3691, 2652, 834, 13426, 1038, 1820, 2891, 13286, 267, 3824, 516, 572, 3611, 334, 2953, 334, 5602, 1038, 9930, 3691, 815, 3403, 2891, 292, 30533, 320, 647, 9930, 3691, 281, 19515, 825, 3116, 912, 1038, 2736, 692, 777, 749, 18480, 815, 3403, 2891, 292, 30533, 320, 647, 3284, 749, 18480, 281, 19515, 6112, 6936, 912, 825, 952, 3284, 749, 18480, 2652, 834, 13426, 1038, 1820, 2891, 13286, 267, 3824, 516, 572, 3611, 334, 2953, 334, 5602, 1038, 3284, 749, 18480, 815, 3403, 2891, 292, 30533, 320, 647, 3284, 749, 18480, 281, 19515, 825, 3116, 912, 1038, 2736, 692, 323, 14269, 815, 476, 703, 9272, 2891, 292, 30533, 320, 1714, 1003, 3266, 632, 647, 667, 25712, 281, 27328, 4289, 320, 5091, 14269, 6910, 5560, 14269, 994, 6112, 6936, 912, 825, 952, 546, 14269, 10922, 476, 271, 912, 1038, 1820, 2891, 13286, 267, 3824, 516, 572, 3611, 334, 2953, 334, 5602, 1038, 546, 14269, 815, 476, 703, 9272, 2891, 292, 30533, 320, 1714, 1003, 3266, 632, 647, 667, 25712, 281, 27328, 825, 3116, 912, 1038, 2736, 692, 604, 562, 633, 331, 2652, 257, 5913, 1495, 7559, 13426, 825, 1820, 2891, 955, 268, 299, 657, 17400, 657, 6446, 512, 1329, 525, 11188, 12461, 597, 5067, 281, 955, 268, 5602, 825, 1820, 2891, 300, 622, 332, 5451, 339, 3821, 267, 700, 15115, 1690, 324, 267, 674, 529, 3821, 267, 2372, 6403, 332, 3821, 267, 16024, 807, 267, 6183, 520, 3120, 267, 681, 1794, 8160, 622, 15122, 320, 267, 681, 1794, 17679, 518, 4472, 267, 6156, 24265, 267, 16016, 956, 5602, 825, 585, 1775, 538, 2039, 630, 271, 267, 278, 2187, 1038, 17400, 657, 815, 3403, 2891, 292, 30533, 320, 1714, 9930, 3691, 1642, 1225, 810, 6446, 642, 320, 513, 561, 4582, 541, 281, 5602, 1038, 30458, 318, 15479, 657, 6910, 263, 15479, 657, 994, 1038, 1775, 6834, 476, 272, 454, 604, 562, 633, 331, 2652, 257, 27146, 7559, 13426, 825, 1820, 2891, 299, 657, 17400, 657, 6446, 512, 1329, 525, 11188, 12461, 597, 5067, 281, 5602, 825, 1820, 2891, 300, 622, 332, 5451, 339, 3821, 267, 1290, 684, 545, 24265, 267, 16016, 956, 267, 9608, 4317, 267, 6183, 520, 3120, 267, 681, 1794, 8160, 622, 15122, 320, 267, 681, 1794, 17679, 518, 4472, 267, 6156, 24265, 267, 595, 1329, 25556, 267, 3447, 24265, 535, 529, 3821, 5602, 825, 585, 1775, 538, 2039, 630, 271, 267, 276, 2187, 1038, 17400, 657, 815, 3403, 2891, 292, 30533, 320, 1714, 9930, 3691, 1642, 1225, 810, 6446, 642, 320, 513, 561, 4582, 541, 281, 5602, 1038, 30458, 318, 15479, 657, 6910, 263, 15479, 657, 264, 3097, 1038, 1775, 6834, 476, 272, 4449, 692, 258, 306, 3201, 2839, 288, 454, 2745, 2891, 1366, 268, 291, 520, 657, 1642, 1325, 4379, 334, 1366, 19203, 5602, 2745, 2891, 2704, 4379, 334, 24333, 9930, 3691, 994, 2745, 2891, 10955, 611, 24333, 1196, 611, 994, 2745, 2891, 294, 2784, 334, 586, 562, 633, 331, 24333, 1178, 4777, 267, 562, 633, 331, 994, 2745, 2891, 8802, 626, 2784, 334, 598, 1714, 546, 14269, 24333, 546, 14269, 994, 2745, 2891, 290, 2720, 657, 26603, 690, 573, 657, 24333, 30458, 318, 15479, 657, 2020, 258, 1817, 9222, 632, 804, 1162, 454, 295, 528, 9222, 271, 815, 834, 278, 281, 876, 993, 910, 476, 278, 281, 3393, 993, 4840, 295, 528, 9222, 272, 815, 834, 278, 281, 3393, 993, 910, 476, 279, 281, 1789, 993, 4840, 295, 528, 9222, 273, 815, 834, 279, 281, 1789, 993, 910, 476, 280, 281, 1428, 993, 4840, 295, 528, 9222, 274, 815, 834, 280, 281, 1428, 993, 910, 476, 1015, 281, 876, 993, 4840, 3725, 920, 334, 272, 815, 834, 1015, 281, 876, 993, 910, 476, 1015, 281, 1428, 993, 4840, 295, 528, 9222, 275, 815, 834, 1015, 281, 1428, 993, 910, 476, 1556, 281, 876, 993, 4840, 295, 528, 9222, 276, 815, 834, 1556, 281, 876, 993, 910, 476, 1556, 281, 3393, 993, 4840, 3725, 920, 334, 273, 815, 834, 1556, 281, 3393, 993, 910, 476, 1321, 281, 876, 10681, 4840, 295, 528, 9222, 277, 815, 834, 1321, 281, 876, 10681, 910, 476, 1321, 281, 3393, 10681, 4840, 295, 528, 9222, 278, 815, 834, 1321, 281, 3393, 10681, 910, 476, 272, 281, 1789, 10681, 5016, 2745, 2891, 1366, 955, 268, 295, 528, 926, 657, 1366, 9339, 5602, 604, 562, 633, 331, 2652, 834, 27146, 7559, 13426, 825, 1820, 2891, 955, 268, 299, 17480, 955, 268, 5602, 825, 1820, 17338, 320, 318, 15479, 657, 314, 271, 316, 2437, 652, 324, 1225, 810, 3138, 561, 4582, 31730, 513, 15255, 2580, 295, 528, 9222, 272, 994, 825, 1820, 17338, 320, 318, 15479, 657, 314, 271, 316, 2437, 652, 324, 1225, 810, 3138, 561, 4582, 31730, 513, 15255, 2580, 295, 528, 9222, 273, 994, 825, 1820, 17338, 320, 318, 15479, 657, 314, 272, 316, 2437, 652, 324, 1225, 810, 3138, 561, 4582, 31730, 513, 15255, 2580, 295, 528, 9222, 274, 994, 825, 1820, 2891, 14976, 9903, 334, 3227, 773, 5633, 513, 15255, 2580, 3725, 920, 334, 272, 994, 825, 1820, 17338, 320, 318, 15479, 657, 314, 272, 316, 2437, 652, 324, 1225, 810, 3138, 561, 4582, 31730, 513, 15255, 2580, 295, 528, 9222, 275, 994, 825, 1820, 17338, 320, 318, 15479, 657, 314, 273, 316, 2437, 652, 324, 1225, 810, 3138, 561, 4582, 31730, 513, 15255, 2580, 295, 528, 9222, 276, 994, 825, 1820, 2891, 14976, 521, 580, 340, 1304, 324, 9903, 334, 3227, 773, 5633, 513, 15255, 2580, 3725, 920, 334, 273, 994, 825, 1820, 17338, 320, 318, 15479, 657, 314, 273, 316, 2437, 652, 324, 1225, 810, 3138, 561, 4582, 31730, 513, 15255, 2580, 295, 528, 9222, 277, 2020, 825, 1820, 2891, 955, 268, 24938, 525, 955, 268, 5602, 825, 1820, 17338, 320, 318, 15479, 657, 314, 274, 316, 2437, 652, 324, 1225, 810, 3138, 561, 4582, 31730, 513, 15255, 2580, 295, 528, 9222, 272, 994, 825, 1820, 17338, 320, 318, 15479, 657, 314, 274, 316, 2437, 652, 324, 1225, 810, 3138, 561, 4582, 31730, 513, 15255, 2580, 295, 528, 9222, 273, 994, 825, 1820, 17338, 320, 318, 15479, 657, 314, 275, 316, 2437, 652, 324, 1225, 810, 3138, 561, 4582, 31730, 513, 15255, 2580, 295, 528, 9222, 274, 994, 825, 1820, 2891, 14976, 9903, 334, 3227, 773, 5633, 513, 15255, 2580, 3725, 920, 334, 272, 994, 825, 1820, 17338, 320, 318, 15479, 657, 314, 275, 316, 2437, 652, 324, 1225, 810, 3138, 561, 4582, 31730, 513, 15255, 2580, 295, 528, 9222, 275, 994, 825, 1820, 17338, 320, 318, 15479, 657, 314, 272, 316, 2437, 652, 324, 1225, 810, 3138, 561, 4582, 31730, 513, 15255, 2580, 295, 528, 9222, 276, 994, 825, 1820, 2891, 14976, 521, 580, 340, 1304, 324, 9903, 334, 3227, 773, 5633, 513, 15255, 2580, 3725, 920, 334, 273, 994, 825, 1820, 17338, 320, 318, 15479, 657, 314, 272, 316, 2437, 652, 324, 1225, 810, 3138, 561, 4582, 31730, 513, 15255, 2580, 295, 528, 9222, 277, 2020, 825, 1820, 2891, 955, 268, 300, 1512, 322, 3421, 955, 268, 5602, 825, 1820, 17338, 320, 318, 15479, 657, 314, 273, 316, 2437, 652, 324, 1225, 810, 3138, 561, 4582, 31730, 513, 15255, 2580, 295, 528, 9222, 272, 994, 825, 1820, 17338, 320, 318, 15479, 657, 314, 273, 316, 2437, 652, 324, 1225, 810, 3138, 561, 4582, 31730, 513, 15255, 2580, 295, 528, 9222, 273, 994, 825, 1820, 17338, 320, 318, 15479, 657, 314, 275, 316, 2437, 652, 324, 1225, 810, 3138, 561, 4582, 31730, 513, 15255, 2580, 295, 528, 9222, 274, 994, 825, 1820, 2891, 14976, 9903, 334, 3227, 773, 5633, 513, 15255, 2580, 3725, 920, 334, 272, 994, 825, 1820, 17338, 320, 318, 15479, 657, 314, 275, 316, 2437, 652, 324, 1225, 810, 3138, 561, 4582, 31730, 513, 15255, 2580, 295, 528, 9222, 275, 994, 825, 1820, 17338, 320, 318, 15479, 657, 314, 274, 316, 2437, 652, 324, 1225, 810, 3138, 561, 4582, 31730, 513, 15255, 2580, 295, 528, 9222, 276, 994, 825, 1820, 2891, 14976, 521, 580, 340, 1304, 324, 9903, 334, 3227, 773, 5633, 513, 15255, 2580, 3725, 920, 334, 273, 994, 825, 1820, 17338, 320, 318, 15479, 657, 314, 274, 316, 2437, 652, 324, 1225, 810, 3138, 561, 4582, 31730, 513, 15255, 2580, 295, 528, 9222, 277, 2020, 825, 1820, 2891, 955, 268, 297, 826, 1407, 955, 268, 5602, 825, 1820, 17338, 320, 318, 15479, 657, 314, 271, 316, 2437, 652, 324, 1225, 810, 3138, 561, 4582, 31730, 513, 15255, 2580, 295, 528, 9222, 272, 994, 825, 1820, 17338, 320, 318, 15479, 657, 314, 271, 316, 2437, 652, 324, 1225, 810, 3138, 561, 4582, 31730, 513, 15255, 2580, 295, 528, 9222, 273, 994, 825, 1820, 17338, 320, 318, 15479, 657, 314, 274, 316, 2437, 652, 324, 1225, 810, 3138, 561, 4582, 31730, 513, 15255, 2580, 295, 528, 9222, 274, 994, 825, 1820, 2891, 14976, 9903, 334, 3227, 773, 5633, 513, 15255, 2580, 3725, 920, 334, 272, 994, 825, 1820, 17338, 320, 318, 15479, 657, 314, 274, 316, 2437, 652, 324, 1225, 810, 3138, 561, 4582 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4826, 538, 519, 17392, 3590, 910, 6693, 11997, 267, 519, 5354, 540, 519, 1239, 593, 1216, 2298, 543, 589, 14727, 10612, 21324, 3568, 1344, 593, 519, 20548, 816, 4369, 12039, 267, 7513, 267, 543, 30175, 6541, 540, 519, 1216, 269, 769, 519, 9000, 540, 513, 1732, 27667, 540, 10612, 2773, 267, 713, 4994, 814, 1044, 1031, 14916, 543, 568, 1869, 513, 2241, 1101, 19406, 585, 17782, 10612, 2773, 563, 3849, 332, 4869, 999, 585, 22493, 910, 6490, 874, 529, 454, 3849, 332, 4869, 999, 616, 1346, 5820, 538, 6405, 824, 982, 2823, 1633, 9160, 267, 1216, 267, 543, 4903, 516, 3766, 919, 602, 616, 3773, 547, 519, 7848, 5612, 1354, 610, 1282, 11544, 630, 8993, 269, 476, 277, 268, 272, 1040, 23670, 4869, 999, 666, 581, 9286, 676, 1599, 607, 5205, 281, 476, 272, 269, 5794, 268, 550, 20995, 8098, 4869, 999, 476, 273, 269, 4826, 454, 9773, 6458, 3834, 5255, 3271, 924, 31909, 476, 6507, 278, 279, 268, 7918, 268, 274, 1923, 476, 279, 6078, 278, 4200, 454, 9773, 6458, 3834, 5255, 3271, 924, 585, 10282, 269, 31909, 476, 6507, 278, 279, 268, 7918, 268, 274, 267, 3114, 4542, 6970, 263, 302, 5141, 264, 8975, 480, 269, 910, 4855, 9049, 9169, 610, 590, 9169, 267, 513, 2910, 288, 267, 1239, 9212, 543, 811, 1344, 269, 620, 4084, 715, 21838, 2997, 22355, 13268, 1645, 1627, 1399, 18025, 871, 12313, 10829, 640, 476, 279, 6078, 278, 4200, 18089, 271, 4825, 4471, 1324, 8244, 2443, 17290, 454, 1432, 4523, 950, 3679, 23465, 609, 14680, 286, 1923, 6693, 21918, 9693, 568, 6140, 1500, 909, 540, 519, 7777, 7513, 19941, 630, 25519, 4596, 274, 1040, 901, 568, 711, 1360, 19729, 267, 865, 7725, 1810, 5257, 339, 23271, 1360, 3533, 269, 1809, 952, 596, 1039, 606, 3679, 267, 596, 1039, 7250, 12274, 630, 295, 266, 1070, 799, 786, 2746, 609, 519, 19941, 547, 1106, 7250, 19941, 670, 4596, 274, 268, 12274, 454, 27420, 3764, 476, 28796, 7436, 910, 21469, 13053, 9142, 454, 9773, 6458, 28355, 568, 5594, 19729, 538, 1216, 693, 4055, 2837, 269, 1306, 519, 2837, 14380, 267, 519, 32610, 11081, 269, 1879, 519, 5021, 2179, 540, 4396, 814, 15702, 693, 513, 1880, 2837, 519, 3070, 568, 1767, 547, 581, 454, 9773, 6458, 4813, 622, 8605, 4578, 454, 1103, 513, 1353, 609, 14148, 267, 7513, 1106, 622, 3773, 547, 519, 6704, 1216, 693, 476, 271, 269, 273, 260, 585, 476, 274, 1296, 610, 476, 271, 269, 275, 260, 585, 476, 273, 1296, 4769, 1406, 1860, 2208, 267, 12680, 610, 1599, 538, 909, 547, 476, 276, 5481, 269, 25289, 1106, 622, 1131, 581, 4397, 547, 581, 8886, 908, 547, 519, 4064, 543, 2960, 563, 290, 944, 532, 4826, 9615, 1923, 661, 3712, 629, 454, 293, 3306, 1216, 568, 1373, 3773, 547, 519, 13486, 547, 5372, 1216, 4503, 998, 20984, 610, 21381, 269, 1809, 713, 17539, 1216, 3568, 6886, 267, 13897, 267, 11935, 543, 824, 23606, 602, 1628, 909, 543, 1202, 3634, 519, 4496, 7252, 269, 3776, 8483, 1516, 22169, 948, 2061, 4336, 543, 454, 1692, 547, 17179, 12071, 528, 728, 689, 4826, 910, 667, 3496, 609, 4826, 454, 7197, 21973, 602, 568, 3773, 547, 18513, 1216, 568, 606, 796, 11499, 1106, 540, 21973, 602, 3568, 9770, 269, 898, 568, 936, 476, 3199, 2053, 811, 6757, 982, 6923, 31507, 2590, 7513, 21973, 269, 634, 7698, 4578, 8881, 16847, 630, 5960, 9169, 264, 585, 9770, 21973, 2982, 519, 24037, 9570, 630, 17162, 268, 2004, 454, 14551, 1216, 1923, 9502, 267, 6201, 267, 1299, 12700, 1923, 27429, 454, 277, 270, 279, 270, 1708, 271, 6440, 10434, 1216, 267, 1216, 602, 3568, 20919, 540, 7513, 543, 13101, 21246, 958, 607, 22833, 12365, 919, 267, 8392, 1938, 267, 543, 9829, 919, 269, 12113, 9317, 4401, 949, 849, 581, 1459, 282, 12444, 1242, 547, 519, 7542, 878, 1106, 267, 621, 5526, 607, 513, 26070, 6960, 12962, 593, 18233, 17234, 543, 19596, 539, 7252, 563, 300, 13926, 2746, 2032, 3126, 6901, 2164, 7422, 6693, 300, 13926, 25792, 7422, 26459, 2490, 902, 1100, 1689, 910, 1100, 5114, 7513, 11491, 2737, 20405, 5114, 267, 2498, 12883, 12412, 267, 7990, 1652, 3154, 7960, 269, 634, 8471, 967, 1640, 7140, 4544, 1790, 584, 921, 910, 22279, 3070, 630, 335, 295, 9625, 1724, 264, 7601, 14816, 1100, 1689, 910, 1100, 5114, 4401, 2083, 902, 1100, 454, 289, 293, 310, 9615, 910, 590, 17139, 584, 545, 18729, 454, 763, 1034, 1455, 1505, 540, 4227, 3154, 9830, 538, 15245, 3049, 1216, 568, 519, 946, 540, 513, 632, 320, 518, 1807, 799, 7472, 513, 2910, 476, 273, 1863, 2498, 23308, 543, 744, 476, 273, 9830, 538, 519, 2039, 540, 476, 271, 269, 22650, 547, 476, 271, 269, 4905, 8406, 15828, 269, 1403, 2417, 5786, 540, 744, 476, 273, 568, 2838, 267, 606, 5135, 25094, 10152, 630, 14179, 8684, 5135, 3146, 706, 1424, 7135, 264, 971, 607, 9829, 924, 267, 3289, 23432, 710, 610, 3289, 23432, 710, 31431, 666, 581, 3773, 547, 4625, 9004, 744, 476, 273, 4586, 10907, 573, 5174, 848, 1234, 13905, 1923, 9537, 2986, 1234, 13905, 1923, 590, 12011, 822, 3121, 454, 1724, 269, 273, 18729, 1532, 848, 6547, 630, 2464, 289, 304, 312, 264, 634, 5114, 1063, 606, 3679, 543, 513, 3490, 568, 1634, 607, 513, 9243, 5314, 5114, 269, 10705, 950, 606, 3679, 543, 3490, 2746, 513, 6070, 543, 1216, 786, 581, 4646, 269, 1284, 786, 1413, 693, 513, 1906, 1806, 540, 3679, 1532, 848, 6547, 563, 31948, 540, 5114, 1063, 31527, 18608, 545, 18729, 543, 6693, 278, 270, 279, 270, 1708, 271, 6440, 15580, 540, 5114, 1063, 31527, 18608, 545, 18729, 543, 25289, 12539, 622, 25289, 19941, 23465, 609, 8652, 18608, 545, 3679, 547, 1106, 3327, 8166, 3154, 269, 2290, 1259, 540, 1739, 519, 2557, 540, 5114, 693, 799, 621, 23465, 568, 547, 2268, 519, 4320, 540, 3327, 8166, 3812, 693, 6693, 15771, 5308, 15771, 3036, 4785, 13138, 2975, 30045, 3036, 22432, 1923, 595, 28719, 302, 11906, 338, 1923, 30857, 454, 3725, 9711, 609, 1216, 547, 11457, 8652, 18608, 545, 3679, 267, 606, 8886, 908, 543, 1351, 4592, 633, 3154, 7805, 607, 3043, 32669, 269, 13242, 1282, 6850, 24119, 3789, 540, 4496, 593, 12285, 543, 585, 1818, 13851, 267, 1147, 2399, 1218, 267, 17405, 21187, 267, 5068, 9088, 267, 24470, 12028, 267, 19135, 18138, 8069, 267, 6693, 310, 770, 1168, 831, 5303, 5517, 16847, 11906, 2776, 27457, 2787, 454, 2704, 636, 267, 950, 3773, 547, 1216, 5627, 7513, 543, 13101, 22833, 12365, 622, 30175, 6541, 267, 23465, 609, 519, 30175, 6541, 547, 1106, 606, 1202, 20107, 11956, 28355, 10511, 10028, 269, 3752, 12657, 5230, 4496, 12274, 666, 581, 10736, 883, 1202, 20107, 4496, 18038, 1938, 610, 3327, 919, 998, 519, 1840, 540, 28355, 7135, 563, 9773, 6458, 543, 24942, 2657, 454, 18893, 585, 1216, 610, 7513, 1922, 677, 1881, 10538, 10433, 3079, 269, 1280, 15400, 5642, 1072, 267, 3635, 568, 1883, 1879, 621, 2501, 547, 2679, 543, 4509, 2178, 7633, 267, 3635, 568, 1898, 2073, 2523, 2597, 24481, 2238, 971, 607, 6972, 267, 15472, 267, 28185, 3101, 267, 2597, 331, 14823, 267, 25047, 804, 328, 532, 267, 8322, 21103, 5026, 267, 543, 19482, 563, 21316, 2207, 24361, 14408, 293, 4953, 312, 667, 25353, 590, 4047, 4953, 630, 5960, 9169, 264, 670, 312, 291, 4629, 6224, 299, 3036, 2975, 8028, 2839, 454, 272, 270, 272, 270, 1001, 280, 6440, 4826, 23860, 559, 5940, 269, 3213, 27889, 12727, 3502, 2139, 594, 4577, 640, 630, 514, 4826, 2567, 3502, 2139, 2598, 11825, 542, 16544, 281, 6423, 32610, 538, 1216, 267, 1019, 14007, 552, 750, 269, 3752, 28169, 281, 3752, 12657, 538, 4411, 1216, 267, 3905, 1216, 267, 1019, 14007, 552, 750, 269, 853, 1464, 281, 634, 1587, 568, 7123, 2529, 1254, 476, 1015, 281, 853, 1464, 543, 1234, 13808, 4578, 0, 26046, 540, 2048, 8170, 631, 823, 543, 2871, 903, 685, 676, 3627, 23415, 20198, 454, 8170, 631, 823, 543, 24053, 14405, 922, 21044, 8404, 689, 519, 16866, 2943, 15700, 2729, 540, 476, 273, 27540, 5520, 2429, 543, 1310, 519, 2352, 2053, 602, 4553, 519, 4279, 12870, 269, 898, 568, 5483, 538, 513, 1259, 602, 519, 3197, 2408, 27621, 2406, 9758, 1510, 519, 17646, 5006, 20726, 540, 1373, 1932, 733, 337, 1882, 543, 27105, 563, 763, 21882, 1374, 538, 799, 519, 1404, 5991, 913, 30592, 568, 5483, 14850, 701, 6545, 519, 19969, 540, 519, 2239, 602, 1289, 2429, 519, 2898, 1650, 269, 634, 2186, 540, 5609, 1356, 640, 602, 1500, 519, 2189, 922, 4087, 538, 519, 5339, 17374, 607, 835, 540, 835, 540, 519, 1034, 5668, 1263, 539, 7734, 540, 519, 476, 2641, 560, 11416, 630, 13563, 7732, 5948, 1070, 543, 814, 2965, 20335, 1102, 18081, 1851, 513, 1906, 540, 519, 13915, 267, 3506, 543, 5339, 3906, 585, 922, 6654, 968, 341, 592, 3258, 892, 543, 968, 4752, 2056, 892, 1893, 563, 1103, 519, 18175, 24612, 1867, 540, 519, 1977, 7732, 5948, 267, 519, 1404, 5991, 913, 30592, 814, 986, 22486, 909, 606, 5140, 759, 636, 2946, 540, 3875, 14327, 689, 3506, 543, 540, 2516, 945, 723, 2965, 13986, 547, 4894, 519, 1433, 689, 741, 21684, 585, 922, 1527, 534, 640, 543, 28067, 1893, 269, 10765, 5638, 1397, 602, 538, 519, 1296, 476, 1220, 271, 268, 1220, 274, 4805, 267, 2947, 1164, 25217, 338, 2066, 519, 4182, 723, 5018, 519, 960, 607, 13934, 2094, 519, 1433, 3568, 968, 24055, 1793, 2720, 267, 1025, 5684, 1335, 344, 267, 5208, 267, 543, 1281, 711, 2099, 3044, 702, 2195, 630, 13563, 7732, 5948, 264, 9731, 26807, 569, 519, 960, 2882, 1808, 1587, 607, 666, 581, 29742, 539, 689, 519, 4901, 543, 519, 3875, 4638, 543, 7292, 7840, 269, 8616, 10502, 1813, 547, 519, 1249, 602, 540, 519, 8521, 2431, 543, 3006, 796, 777, 860, 2045, 2126, 538, 922, 1603, 267, 519, 1650, 2501, 547, 1272, 693, 2407, 3196, 609, 922, 1490, 1393, 2705, 9758, 4480, 269, 634, 2278, 568, 547, 581, 25343, 267, 543, 7654, 519, 960, 581, 6035, 2347, 5491, 1932, 267, 585, 711, 28855, 1944, 519, 8699, 540, 519, 1570, 585, 513, 15777, 543, 811, 3617, 4528, 563, 763, 1650, 1223, 711, 723, 2965, 1044, 7654, 5143, 538, 1022, 824, 1259, 269, 1280, 952, 621, 941, 547, 581, 22012, 1055, 540, 922, 2877, 24970, 1027, 757, 1471, 268, 14504, 23724, 922, 3119, 21044, 16786, 267, 538, 519, 6073, 602, 789, 616, 1085, 584, 22567, 748, 547, 519, 12823, 267, 1287, 621, 1131, 581, 1732, 602, 519, 3209, 5055, 1185, 2965, 711, 1044, 7768, 693, 782, 269, 898, 1131, 6157, 2887, 6366, 593, 922, 3068, 1185, 519, 1587, 1543, 941, 588, 4459, 523, 1055, 896, 18594, 675, 269, 1703, 568, 1100, 1732, 1259, 547, 2995, 519, 1650, 982, 547, 2995, 621, 607, 2067, 543, 10853, 607, 2009, 269, 3627, 23415, 20198, 12913, 713, 2864, 5578, 2685, 543, 11207, 538, 1010, 3209, 5055, 563, 288, 3728, 5619, 540, 5339, 6437, 2429, 519, 1585, 9945, 1131, 1397, 602, 519, 1433, 568, 16565, 513, 2178, 17945, 538, 3506, 543, 824, 3450, 4025, 269, 634, 960, 568, 1373, 6026, 607, 513, 4105, 851, 540, 1977, 9085, 2059, 609, 824, 30940, 1568, 540, 519, 2540, 281, 634, 7083, 540, 519, 4469, 625, 267, 5261, 7108, 532, 282, 634, 7822, 31947, 267, 7705, 21701, 267, 1677, 26332, 3729, 513, 631, 20689, 267, 22489, 10557, 1851, 1866, 269, 5549, 1211, 958, 267, 891, 616, 519, 3169, 1482, 2835, 7074, 607, 17049, 543, 13934, 630, 291, 1195, 548, 264, 1932, 563, 13010, 267, 972, 616, 3450, 543, 1353, 10274, 2139, 585, 519, 960, 602, 1131, 5512, 513, 5857, 704, 543, 3573, 1620, 540, 922, 2796, 543, 3197, 269, 634, 26189, 528, 779, 6651, 547, 3627, 23415, 20198, 779, 2986, 631, 823, 543, 9093, 267, 585, 3236, 267, 568, 968, 9188, 11220, 547, 948, 3610, 538, 3001, 519, 27466, 525, 3564, 519, 2627, 1858, 1650, 540, 23415, 20198, 779, 3209, 5055, 892, 630, 3725, 539, 267, 476, 273, 1040, 22353, 267, 519, 3391, 6411, 607, 513, 1907, 547, 2062, 342, 7568, 519, 3988, 540, 519, 9921, 1570, 540, 519, 1650, 267, 2705, 3091, 513, 2143, 5650, 547, 1294, 2250, 519, 11315, 19799, 906, 540, 519, 960, 543, 5965, 519, 1362, 585, 513, 9735, 543, 11791, 4901, 563, 7049, 9334, 569, 267, 519, 960, 568, 811, 982, 1175, 606, 856, 10767, 560, 540, 22880, 2592, 543, 6596, 1893, 269, 634, 6219, 18284, 519, 2627, 2488, 513, 726, 523, 3363, 540, 6163, 543, 4798, 3850, 513, 1454, 1732, 14696, 540, 2413, 6377, 3332, 269, 769, 2110, 267, 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 ]

[ 8257, 585, 3606, 5583, 269, 1403, 519, 3461, 814, 513, 2564, 6595, 543, 596, 991, 547, 1289, 476, 26605, 267, 711, 1518, 519, 7006, 2255, 10986, 602, 519, 3461, 814, 267, 610, 568, 1373, 11117, 585, 5046, 268, 866, 563, 275, 13034, 1787, 3835, 2818, 1058, 3251, 538, 1776, 4055, 610, 581, 9674, 689, 519, 3461, 607, 1454, 607, 2009, 269, 5600, 3835, 2818, 1058, 946, 513, 5094, 23103, 543, 19880, 267, 952, 2139, 563, 276, 6993, 341, 1355, 1804, 2621, 543, 2527, 19771, 563, 277, 6993, 341, 1355, 2673, 3346, 630, 12671, 476, 277, 3952, 264, 609, 4896, 945, 568, 7210, 610, 814, 2589, 563, 278, 269, 16605, 3845, 1063, 3054, 543, 1866, 952, 5046, 268, 866, 568, 10825, 538, 707, 2146, 267, 2523, 952, 596, 723, 513, 2362, 1981, 540, 3978, 4576, 563, 279, 15030, 1662, 707, 3946, 1419, 609, 12853, 543, 1216, 585, 693, 2547, 476, 736, 7643, 267, 610, 946, 606, 4568, 2861, 1688, 24846, 6500, 602, 3568, 693, 2547, 476, 2568, 260, 4568, 563, 280, 5861, 1478, 707, 5023, 543, 9224, 609, 707, 23969, 610, 513, 5160, 950, 596, 11522, 610, 14229, 324, 2763, 269, 774, 992, 2476, 519, 1031, 5160, 563, 1015, 6993, 341, 1355, 15700, 707, 4064, 267, 9224, 543, 5023, 952, 707, 3946, 5749, 1406, 2973, 563, 1556, 269, 26835, 1753, 689, 960, 267, 1153, 543, 1857, 2127, 952, 596, 2461, 7210, 267, 8259, 596, 2461, 2469, 547, 1205, 2564, 1416, 269, 3680, 2921, 1857, 6283, 952, 596, 2461, 7210, 563, 1321, 6993, 341, 1355, 4189, 6151, 610, 896, 322, 10541, 5779, 610, 3662, 8219, 563, 1724, 6993, 341, 1355, 3346, 609, 2661, 2831, 543, 7252, 789, 949, 723, 20109, 952, 596, 2461, 9683, 2661, 6990, 538, 2127, 602, 723, 5063, 1185, 1007, 11452, 2665, 563, 1691, 269, 3682, 3031, 527, 8436, 945, 798, 711, 723, 606, 1898, 991, 547, 581, 538, 519, 1753, 563, 1428, 13034, 1787, 3835, 2818, 1058, 1416, 585, 1022, 10130, 538, 519, 1753, 269, 1684, 711, 6023, 10130, 610, 824, 2831, 1247, 7210, 563, 1626, 8160, 820, 2386, 602, 3838, 5624, 538, 519, 1753, 723, 1434, 2011, 2095, 267, 971, 607, 676, 606, 2011, 30690, 610, 606, 8118, 6885, 267, 4365, 28498, 563, 1704, 6993, 341, 1355, 4687, 7622, 3688, 609, 519, 3461, 269, 1411, 1058, 711, 2671, 8286, 267, 6704, 14296, 267, 11680, 267, 4189, 27022, 267, 28734, 267, 28945, 267, 610, 824, 3688, 269, 2991, 519, 3461, 3096, 891, 3688, 267, 596, 1058, 11547, 873, 8499, 563, 1240, 15030, 1662, 27445, 8499, 563, 866, 269, 3412, 9712, 2299, 4894, 543, 11547, 9660, 610, 28945, 602, 723, 1973, 267, 22454, 267, 610, 1560, 12862, 593, 873, 563, 736, 15030, 792, 25551, 17309, 1247, 7829, 3037, 539, 3688, 543, 1832, 3037, 539, 3688, 2476, 689, 707, 1560, 269, 11162, 707, 3946, 630, 5976, 12853, 543, 1216, 610, 606, 4568, 2861, 1688, 24846, 6500, 264, 5612, 1310, 9427, 707, 17309, 563, 2641, 19403, 543, 1246, 8846, 593, 10297, 540, 27445, 610, 7802, 3688, 543, 28052, 550, 269, 769, 2489, 267, 1210, 513, 3339, 27445, 28052, 550, 2687, 547, 11067, 3684, 5528, 543, 3819, 8499, 1210, 519, 3636, 652, 5210, 5227, 593, 519, 7802, 6003, 563, 272, 6993, 341, 1355, 4189, 610, 6704, 538, 1857, 4025, 454, 3086, 568, 711, 519, 942, 547, 979, 856, 547, 3548, 269, 901, 1797, 9319, 14060, 267, 6995, 15945, 267, 13063, 267, 543, 824, 552, 831, 625, 269, 634, 3644, 666, 581, 10299, 998, 1426, 267, 27022, 267, 8286, 267, 543, 11680, 269, 898, 949, 849, 581, 23197, 689, 824, 1004, 538, 519, 28379, 563, 2791, 666, 1869, 1205, 6765, 610, 1491, 12537, 1426, 269, 7994, 3536, 602, 616, 8499, 11273, 543, 666, 581, 24667, 730, 269, 4400, 3002, 630, 520, 2547, 476, 15171, 13790, 270, 6321, 9180, 267, 2687, 547, 835, 2487, 267, 711, 3917, 564, 24406, 518, 24595, 2978, 1353, 264, 2337, 547, 6146, 8318, 822, 21905, 269, 901, 1797, 621, 949, 581, 1655, 547, 2057, 4411, 3536, 689, 14060, 543, 782, 1426, 689, 10889, 1115, 543, 1930, 19997, 13063, 563, 273, 2529, 1409, 6709, 5875, 710, 952, 7210, 454, 24445, 707, 4387, 952, 596, 723, 1022, 2589, 269, 13773, 1753, 2394, 596, 9156, 269, 3680, 9361, 267, 12008, 267, 610, 4189, 609, 707, 6068, 3283, 1256, 952, 2661, 538, 519, 1482, 1753, 563, 310, 792, 513, 9633, 543, 11547, 707, 3946, 607, 1454, 607, 2009, 269, 1403, 596, 991, 14849, 2564, 1416, 267, 5957, 513, 9633, 543, 1577, 873, 917, 596, 949, 723, 5046, 268, 866, 563, 274, 6993, 341, 1355, 15700, 707, 3068, 454, 306, 12678, 17336, 268, 273, 666, 2661, 593, 2182, 7252, 585, 909, 547, 476, 7761, 3108, 269, 1411, 666, 1205, 519, 3644, 593, 707, 3946, 952, 596, 5905, 513, 2627, 899, 513, 798, 1251, 333, 984, 267, 3154, 6802, 6023, 267, 610, 707, 1591, 6049, 563, 22879, 15700, 1022, 851, 540, 707, 3068, 610, 2212, 1519, 707, 5023, 267, 9224, 267, 543, 4064, 269, 4746, 2057, 24146, 707, 9491, 1716, 5661, 269, 901, 666, 2285, 16568, 17336, 268, 273, 513, 4960, 547, 979, 689, 707, 3946, 883, 707, 1560, 563, 275, 269, 1805, 641, 24373, 3946, 543, 554, 19982, 1004, 2443, 585, 1631, 454, 20118, 267, 2057, 15700, 824, 1004, 269, 16164, 547, 2960, 3346, 666, 1780, 16568, 17336, 268, 273, 689, 835, 1268, 547, 1776, 563, 21982, 891, 6604, 2994, 12517, 568, 5393, 1271, 547, 3247, 519, 3262, 540, 713, 3644, 269, 28552, 1434, 9882, 267, 1739, 891, 4808, 267, 543, 8716, 707, 2828, 543, 1920, 547, 798, 519, 1482, 786, 979, 513, 1279, 1259, 538, 7303, 519, 3262, 540, 16568, 17336, 268, 273, 269, 0, 763, 22845, 540, 513, 4279, 568, 588, 565, 539, 513, 2262, 454, 296, 723, 4862, 519, 2165, 968, 560, 565, 539, 892, 538, 519, 2048, 3199, 338, 543, 2048, 3445, 338, 607, 1454, 607, 594, 666, 2161, 827, 621, 269, 594, 723, 1031, 621, 513, 1906, 2053, 2221, 547, 4766, 875, 594, 723, 1031, 621, 267, 543, 594, 3580, 10956, 621, 538, 519, 2104, 563, 763, 1966, 609, 1210, 519, 2165, 968, 560, 565, 539, 892, 568, 602, 621, 568, 513, 10902, 267, 543, 538, 519, 2296, 1893, 602, 568, 835, 540, 519, 1034, 2352, 1913, 547, 1689, 883, 513, 8231, 269, 898, 568, 849, 513, 10902, 602, 1034, 1004, 1810, 1406, 1174, 267, 543, 2899, 1586, 267, 1034, 1004, 616, 519, 835, 945, 616, 2469, 547, 1689, 602, 269, 634, 1966, 568, 267, 594, 1589, 519, 2165, 568, 1031, 607, 513, 10902, 267, 855, 621, 568, 513, 8231, 267, 543, 649, 723, 547, 1689, 621, 883, 513, 8231, 563, 1103, 2296, 267, 519, 8231, 547, 588, 1961, 568, 513, 10902, 538, 602, 621, 568, 513, 10902, 602, 649, 666, 946, 607, 513, 8231, 269, 2986, 1576, 267, 588, 1961, 568, 711, 513, 10902, 538, 519, 2296, 1893, 267, 855, 649, 666, 946, 621, 607, 513, 8231, 269, 1284, 666, 946, 621, 607, 513, 8231, 950, 649, 968, 560, 1961, 892, 513, 1286, 267, 610, 950, 649, 968, 560, 1961, 892, 2576, 779, 5491, 3556, 269, 1284, 666, 849, 946, 621, 607, 513, 8231, 950, 649, 21102, 1945, 689, 2576, 676, 3196, 563, 2252, 594, 941, 596, 267, 594, 8910, 946, 519, 8231, 538, 713, 2013, 607, 1279, 607, 594, 1810, 1406, 723, 547, 6108, 1022, 2724, 593, 803, 610, 1250, 5491, 6486, 269, 1809, 594, 6557, 711, 835, 547, 6108, 2724, 593, 803, 269, 594, 666, 946, 519, 8231, 538, 513, 1114, 1259, 563, 1607, 568, 835, 540, 1346, 3871, 1141, 649, 666, 946, 519, 8231, 538, 519, 2631, 540, 27560, 267, 855, 649, 723, 547, 1589, 827, 621, 538, 519, 2631, 540, 17403, 269, 1284, 723, 547, 2243, 2436, 519, 1004, 3775, 6883, 721, 616, 1175, 555, 773, 1407, 610, 2436, 789, 616, 1175, 555, 773, 1407, 945, 616, 849, 1210, 721, 563, 1607, 568, 513, 1434, 1383, 540, 875, 649, 666, 946, 519, 8231, 538, 519, 2631, 540, 27560, 267, 855, 1589, 827, 621, 538, 519, 2631, 540, 17403, 269, 589, 2603, 540, 519, 942, 1004, 945, 21102, 689, 721, 616, 1175, 555, 773, 1407, 945, 616, 3843, 547, 1205, 2724, 585, 5061, 3079, 269, 6145, 594, 4076, 2907, 1767, 267, 5061, 1810, 1406, 2628, 782, 602, 1134, 538, 519, 1279, 2196, 563, 763, 2262, 568, 849, 513, 2370, 30414, 269, 898, 2115, 547, 581, 25250, 538, 519, 2942, 2230, 269, 1924, 649, 666, 2161, 649, 588, 1961, 689, 596, 1310, 649, 4076, 7745, 519, 4871, 269, 1879, 649, 2461, 711, 27560, 267, 621, 779, 1175, 513, 10375, 1259, 547, 1205, 5491, 585, 782, 519, 2724, 649, 4076, 6394, 269, 1809, 267, 1631, 649, 2461, 3843, 547, 2736, 519, 4871, 543, 1205, 938, 2724, 1394, 563, 2171, 798, 723, 513, 2262, 585, 950, 596, 21102, 689, 721, 269, 594, 3580, 1289, 621, 588, 565, 539, 269, 898, 568, 950, 596, 21645, 2285, 721, 1022, 2724, 267, 855, 3079, 723, 513, 19619, 540, 707, 1378, 2724, 602, 649, 1616, 1394, 269, 1411, 1223, 1289, 621, 519, 3017, 1063, 27560, 543, 24228, 563, 3719, 267, 538, 513, 1158, 1141, 513, 5479, 1004, 616, 8384, 596, 267, 621, 779, 7168, 2653, 547, 1294, 1946, 2576, 1131, 21102, 689, 596, 563, 763, 2262, 588, 565, 539, 568, 606, 4277, 835, 267, 1317, 621, 666, 581, 1031, 547, 4766, 513, 3099, 540, 3871, 602, 1522, 581, 9228, 607, 27560, 269, 2290, 1383, 1131, 581, 602, 540, 513, 1268, 945, 814, 513, 2603, 540, 2724, 543, 513, 2603, 540, 1004, 8384, 1864, 21102, 621, 269, 6271, 1383, 1223, 581, 602, 540, 513, 1268, 945, 814, 513, 2603, 540, 2724, 543, 513, 2603, 540, 1004, 8384, 1864, 21102, 621, 269, 0, 1432, 1772, 700, 273, 9143, 270, 7709, 5913, 888, 299, 273, 9143, 270, 7709, 5913, 630, 299, 9707, 476, 273, 20658, 6773, 532, 16257, 270, 25542, 16257, 8232, 264, 568, 513, 4999, 540, 1079, 5150, 2792, 10873, 1031, 547, 3715, 5691, 4357, 5121, 630, 309, 14149, 338, 1040, 700, 273, 9143, 5932, 519, 15993, 585, 1239, 6771, 267, 1247, 7379, 5913, 2488, 519, 14238, 543, 17452, 547, 2327, 22637, 543, 8699, 540, 519, 1239, 563, 268, 10374, 9502, 912, 268, 27326, 9502, 912, 299, 273, 9143, 270, 7709, 5913, 630, 299, 9707, 476, 273, 20658, 6773, 532, 16257, 270, 25542, 16257, 8232, 264, 568, 513, 19504, 630, 29919, 17721, 8416, 264, 2029, 602, 10905, 1079, 3982, 10873, 547, 5512, 5150, 543, 4357, 2792, 936, 519, 4950, 269, 700, 273, 9143, 3252, 607, 519, 15993, 532, 7014, 267, 3743, 585, 2870, 519, 5150, 4276, 1063, 519, 7817, 543, 519, 7746, 267, 6466, 7379, 5913, 8591, 513, 4494, 540, 14238, 543, 17452, 547, 2149, 519, 10299, 1239, 563, 763, 700, 273, 9143, 5057, 20964, 513, 9266, 4276, 610, 968, 339, 684, 6773, 892, 1063, 519, 7817, 779, 3926, 543, 519, 19504, 7746, 267, 14123, 519, 20206, 1637, 540, 1239, 21168, 585, 5150, 6771, 269, 898, 1281, 711, 1683, 14238, 3294, 855, 12346, 593, 7379, 5913, 585, 713, 3483, 269, 7379, 5913, 267, 593, 519, 824, 1688, 267, 3091, 7347, 14238, 6620, 267, 4180, 602, 1239, 3788, 14804, 543, 9580, 12023, 689, 18977, 1569, 610, 954, 4003, 1282, 18302, 563, 763, 4999, 540, 700, 273, 9143, 543, 7379, 5913, 2306, 700, 273, 9143, 270, 7709, 5913, 513, 4922, 1031, 19504, 3070, 267, 1634, 585, 922, 2178, 3354, 2934, 543, 17356, 609, 1585, 5665, 1949, 543, 3457, 269, 1635, 17278, 532, 1239, 693, 519, 7379, 1377, 543, 9591, 513, 5150, 15993, 267, 700, 273, 9143, 270, 7709, 5913, 2488, 3755, 609, 513, 5150, 543, 4357, 4276, 267, 1818, 621, 4998, 585, 6552, 4600, 267, 4213, 267, 543, 2043, 5275, 547, 2149, 741, 2228, 10618, 689, 1761, 6937, 543, 6880, 3430, 2931, 563, 1103, 513, 2428, 9917, 961, 267, 700, 273, 9143, 270, 7709, 5913, 568, 513, 15993, 532, 7014, 2966, 547, 2327, 3354, 543, 7834, 585, 5691, 4357, 5121, 269, 1635, 9256, 700, 273, 9143, 543, 7379, 5913, 10873, 267, 621, 20964, 513, 5150, 4276, 1063, 7218, 543, 19504, 13763, 269, 700, 273, 9143, 270, 7709, 5913, 568, 4922, 6462, 543, 3091, 7347, 3354, 2934, 269, 1717, 267, 621, 1058, 581, 7074, 602, 519, 7014, 1522, 3068, 2152, 609, 3595, 31486, 543, 568, 2808, 1447, 5150, 3379, 547, 18960, 19504, 10873, 2139, 2221, 563, 2690, 811, 8847, 267, 2638, 856, 938, 6131, 26479, 5903, 269, 0, 763, 24575, 540, 12674, 538, 519, 2923 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1283, 1857, 8642, 1374, 3506, 540, 476, 1708, 272, 888, 347, 272, 1475, 22139, 10491, 3557, 2160, 693, 681, 1446, 662, 1475, 22139, 10491, 1475, 272, 260, 2008, 347, 273, 1475, 309, 597, 6265, 807, 20448, 2160, 1475, 309, 597, 6265, 807, 1475, 272, 260, 2008, 347, 274, 1475, 17206, 540, 7147, 693, 21388, 1475, 307, 1410, 553, 1475, 272, 260, 2008, 347, 275, 1475, 17206, 540, 3345, 7147, 1475, 307, 1410, 553, 1475, 272, 260, 2008, 347, 276, 1475, 17206, 540, 595, 32385, 10620, 1475, 17764, 1470, 1475, 273, 260, 2008, 347, 277, 1475, 288, 13252, 3557, 2160, 1475, 288, 13252, 1475, 273, 260, 2008, 347, 278, 1475, 17206, 540, 4993, 267, 11968, 13353, 1475, 30210, 1475, 274, 260, 2008, 347, 279, 1475, 17206, 540, 13325, 693, 12124, 320, 16644, 2086, 5218, 1475, 26877, 12437, 1475, 274, 260, 2008, 347, 280, 1475, 17206, 540, 6115, 1475, 29910, 1475, 274, 260, 2008, 347, 1015, 1475, 17206, 540, 13325, 693, 9628, 1475, 26877, 12437, 1475, 275, 260, 2008, 347, 1556, 1475, 17206, 540, 17857, 1475, 298, 12436, 1475, 275, 260, 2008, 347, 1724, 1475, 763, 11882, 3557, 2160, 1475, 17764, 1470, 1475, 276, 260, 2008, 347, 1691, 1475, 293, 5831, 4659, 540, 5303, 1475, 6124, 3840, 1475, 276, 260, 2008, 347, 1428, 1475, 22709, 11637, 5441, 540, 3203, 543, 5071, 1475, 22709, 11637, 1475, 276, 260, 2008, 347, 1626, 1475, 26596, 17630, 853, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 30655, 894, 24218, 257, 607, 851, 540, 834, 11286, 1315, 26888, 267, 18280, 9233, 267, 1401, 3031, 1431, 1315, 6828, 31698, 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, 1012, 13216, 10606, 543, 15932, 1145, 281, 9198, 908, 13216, 1133, 3202, 2037, 14517, 4223, 4631, 692, 1103, 713, 1770, 267, 649, 786, 2263, 1950, 2338, 267, 4351, 1145, 267, 543, 875, 547, 5352, 1950, 1770, 776, 26254, 14290, 1210, 5124, 269, 1284, 3513, 1376, 676, 1620, 1950, 2338, 543, 4351, 1145, 267, 543, 1287, 649, 3513, 4685, 883, 519, 2016, 3009, 6256, 547, 1451, 875, 621, 12958, 1950, 1770, 776, 26254, 14290, 780, 2162, 13216, 10606, 692, 4467, 14658, 2338, 616, 513, 4999, 540, 1483, 543, 16494, 2338, 269, 1358, 616, 2854, 538, 519, 1106, 540, 1269, 320, 1341, 1979, 8961, 1141, 1269, 320, 259, 543, 1269, 321, 259, 616, 1483, 2338, 267, 543, 1269, 328, 259, 568, 519, 16494, 1770, 269, 634, 16494, 1770, 1269, 328, 259, 568, 3989, 607, 1269, 328, 317, 273, 815, 910, 272, 10608, 13216, 2338, 616, 1031, 538, 1585, 4610, 267, 971, 607, 6323, 267, 4702, 267, 543, 6128, 780, 2162, 15932, 1145, 692, 305, 24655, 1145, 568, 519, 3668, 540, 4806, 610, 3589, 1464, 538, 2621, 269, 769, 5752, 267, 649, 1419, 946, 4351, 1145, 547, 5352, 20437, 2418, 267, 971, 607, 4351, 2338, 269, 5124, 814, 513, 3710, 2987, 9074, 1572, 2387, 12690, 319, 602, 649, 666, 946, 547, 5352, 4351, 2338, 780, 2162, 7383, 532, 23905, 692, 6524, 649, 1376, 267, 1577, 781, 1118, 2386, 649, 723, 519, 2556, 8021, 8704, 543, 16865, 269, 1284, 3513, 991, 2387, 31596, 12452, 799, 568, 513, 5399, 585, 10230, 4238, 267, 543, 2387, 12690, 12452, 799, 568, 513, 3710, 2987, 5124, 9074, 585, 10451, 4351, 2338, 780, 3499, 7090, 454, 5814, 11885, 607, 5286, 454, 5814, 4351, 454, 7884, 2162, 4197, 519, 9717, 8943, 10965, 2089, 564, 692, 763, 2016, 3009, 6256, 11225, 513, 1362, 1572, 2387, 4467, 14658, 4462, 3202, 5319, 14517, 319, 602, 9100, 1080, 689, 1776, 1362, 1572, 2387, 5319, 14517, 18269, 2913, 781, 2736, 1524, 519, 3009, 543, 1174, 1018, 621, 1281, 780, 2971, 19461, 1436, 692, 3499, 7090, 454, 5035, 13216, 4462, 3202, 5319, 14517, 263, 5319, 14517, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 631, 267, 715, 267, 4336, 284, 272, 2187, 1038, 1582, 8160, 815, 631, 454, 1038, 1582, 12991, 815, 715, 454, 1038, 1582, 269, 29173, 815, 4336, 454, 1038, 1582, 18622, 1440, 318, 8181, 4590, 7884, 763, 2387, 1029, 8181, 1029, 319, 1505, 568, 513, 2027, 1505, 538, 5124, 5049, 602, 568, 8850, 1572, 950, 606, 1843, 540, 602, 1362, 568, 2813, 269, 769, 713, 2013, 267, 519, 2387, 1029, 8181, 1029, 319, 1505, 3217, 1614, 6724, 281, 2387, 300, 12452, 2387, 301, 12452, 543, 2387, 29173, 18269, 1452, 6724, 616, 1031, 547, 3355, 1125, 519, 10305, 540, 519, 2387, 4467, 14658, 4462, 3202, 5319, 14517, 319, 1362, 780, 2971, 9198, 908, 13216, 1133, 3202, 2037, 14517, 4223, 4631, 692, 3499, 7090, 454, 3698, 5352, 4311, 2187, 825, 5727, 7049, 4733, 1950, 1770, 776, 26254, 5119, 780, 825, 16849, 454, 825, 476, 9339, 8894, 825, 910, 2473, 2433, 5044, 540, 3337, 630, 300, 267, 715, 994, 1038, 2473, 9625, 552, 3867, 328, 943, 328, 8679, 1038, 943, 328, 9625, 1133, 604, 263, 271, 282, 273, 265, 7032, 994, 825, 8173, 825, 2473, 815, 5286, 269, 10339, 263, 273, 2608, 5286, 32564, 2608, 476, 272, 329, 2608, 5286, 20179, 26509, 6134, 4433, 1125, 14352, 1345, 8160, 267, 1582, 12991, 21875, 825, 2132, 2473, 454, 7884, 763, 2387, 2102, 4733, 319, 1505, 568, 1031, 547, 5352, 1950, 1770, 776, 26254, 14290, 269, 898, 7024, 606, 5044, 2387, 311, 319, 540, 3337, 25464, 300, 267, 715, 264, 12452, 1141, 2387, 300, 319, 543, 2387, 301, 319, 616, 519, 7516, 540, 519, 5119, 780, 763, 4082, 2387, 324, 3867, 328, 943, 328, 348, 319, 568, 25586, 781, 4542, 267, 799, 12211, 1950, 12825, 338, 547, 25066, 3252, 269, 769, 713, 2013, 267, 2387, 12978, 319, 568, 513, 4351, 1297, 1063, 476, 271, 543, 476, 273, 11027, 267, 799, 568, 6383, 1210, 519, 2387, 12639, 20179, 26509, 6134, 319, 1599, 780, 763, 2387, 272, 329, 319, 538, 519, 4082, 2387, 273, 2608, 5286, 32564, 2608, 476, 272, 329, 2608, 5286, 20179, 26509, 6134, 4433, 1125, 14352, 1345, 8160, 267, 1582, 12991, 4297, 319, 568, 519, 16494, 1770, 1269, 328, 259, 538, 5124, 269, 5564, 28745, 513, 1483, 1297, 676, 2387, 272, 329, 319, 3947, 513, 17033, 16494, 1297, 780, 763, 2387, 12639, 269, 10339, 319, 1599, 21410, 519, 12825, 540, 782, 2609, 538, 519, 3403, 5044, 269, 769, 713, 2013, 267, 621, 21410, 519, 12825, 540, 519, 1950, 2338, 6383, 676, 2387, 273, 2608, 5286, 32564, 2608, 476, 272, 329, 2608, 5286, 20179, 26509, 6134, 4433, 1125, 14352, 1345, 8160, 267, 1582, 12991, 4297, 27471, 2162, 10390, 692, 1103, 713, 1770, 267, 649, 4121, 827, 1950, 2338, 267, 4351, 1145, 267, 543, 875, 547, 5352, 1950, 1770, 776, 26254, 14290, 1210, 5124, 269, 1284, 13264, 1524, 519, 2016, 3009, 6256, 543, 6956, 875, 621, 3096, 1950, 2338, 543, 4351, 1145, 547, 5352, 891, 14290, 269, 901, 1702, 666, 581, 4294, 538, 1585, 4610, 267, 971, 607, 6323, 267, 4702, 267, 543, 6128, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 5814, 11885, 607, 5286, 454, 5228, 1547, 19668, 318, 1619, 18037, 1104, 2037, 14517, 7531, 5035, 13216, 4462, 3202, 5319, 14517, 263, 5319, 14517, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 631, 267, 715, 267, 4336, 284, 272, 2187, 1038, 1582, 8160, 815, 631, 454, 1038, 1582, 12991, 815, 715, 454, 1038, 1582, 269, 29173, 815, 4336, 454, 1038, 1582, 18622, 1440, 318, 8181, 10797, 825, 1219, 5352, 4311, 2187, 1038, 5727, 7049, 4733, 1950, 1770, 776, 26254, 5119, 780, 1038, 16849, 454, 1038, 476, 9339, 8894, 1038, 910, 2473, 2433, 5044, 540, 3337, 630, 300, 267, 715, 994, 2018, 2473, 9625, 552, 3867, 328, 943, 328, 8679, 2018, 943, 328, 9625, 1133, 604, 263, 271, 282, 273, 265, 7032, 994, 1038, 8173, 1038, 2473, 815, 5286, 269, 10339, 263, 273, 2608, 5286, 32564, 2608, 476, 272, 329, 2608, 5286, 20179, 26509, 6134, 4433, 1125, 14352, 1345, 8160, 267, 1582, 12991, 21875, 1038, 2132, 2473, 454, 8199, 2237, 606, 3573, 543, 2143, 1837, 1770, 609, 19900, 1257, 543, 3009, 12612, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 1100, 1991, 1702, 540, 519, 1641, 269, 634, 1837, 1058, 3895, 7744, 543, 20201, 1983, 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, 912, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 23299, 25042, 543, 12186, 5811, 630, 293, 10933, 288, 264, 910, 18227, 26682, 26121, 3911, 26743, 569, 692, 5970, 596, 2479, 9289, 875, 1919, 960, 538, 2462, 15327, 286, 1703, 616, 865, 1082, 5863, 6191, 602, 948, 1711, 6517, 267, 11418, 267, 543, 1256, 2679, 2326, 256, 1809, 1018, 4523, 950, 835, 540, 891, 6191, 9397, 1524, 286, 898, 666, 2014, 513, 2603, 540, 2042, 267, 899, 17799, 538, 1818, 2472, 543, 3063, 3790, 585, 18203, 269, 2334, 781, 1141, 938, 1888, 2221, 2501, 538, 281, 23299, 25042, 543, 12186, 5811, 267, 610, 674, 10933, 288, 585, 2110, 269, 901, 4702, 1907, 2337, 721, 1265, 543, 4368, 2152, 1354, 789, 1831, 2101, 14331, 256, 2913, 781, 4685, 883, 519, 1158, 540, 674, 10933, 288, 543, 1451, 875, 621, 8952, 1346, 12051, 6191, 4881, 12347, 780, 1262, 6637, 476, 272, 281, 1548, 568, 674, 10933, 288, 286, 2878, 692, 5331, 596, 723, 513, 11442, 1286, 267, 543, 596, 1616, 547, 1118, 2386, 621, 2760, 13515, 2324, 269, 1411, 1131, 2638, 585, 1022, 2009, 2081, 621, 1223, 2736, 630, 3697, 952, 519, 14743, 2887, 1055, 610, 519, 2599, 10523, 1070, 543, 1287, 1589, 827, 875, 547, 2061, 1346, 2042, 269, 2334, 781, 4010, 1018, 8030, 798, 609, 674, 10933, 288, 256, 1358, 1413, 693, 782, 519, 1114, 2081, 1945, 1522, 3111, 267, 4137, 856, 1018, 2360, 1142, 5821, 1223, 723, 267, 543, 2097, 909, 609, 4566, 547, 3247, 873, 689, 8345, 269, 1635, 3257, 713, 267, 649, 666, 1832, 3388, 4881, 12347, 543, 2057, 14427, 26208, 780, 1262, 6637, 476, 273, 281, 27915, 13560, 519, 6713, 2878, 692, 4131, 781, 1491, 513, 6251, 1413, 693, 875, 674, 10933, 288, 1568, 1900, 676, 1900, 1384, 272, 269, 10576, 1761, 14286, 281, 6056, 827, 1169, 2370, 3364, 602, 1223, 979, 4636, 609, 707, 3684, 610, 1587, 269, 1280, 1383, 267, 4952, 596, 2811, 3168, 693, 606, 13128, 7143, 1457, 538, 513, 12051, 1107, 930, 1761, 14286, 1522, 581, 13451, 344, 7143, 1091, 267, 7745, 12904, 267, 610, 3765, 7955, 539, 2694, 563, 273, 269, 21302, 519, 1764, 281, 4495, 596, 4312, 7396, 782, 519, 2009, 14286, 267, 1589, 827, 1018, 1131, 4755, 952, 1142, 835, 7018, 269, 14348, 621, 3500, 1524, 2504, 286, 8073, 22247, 2175, 286, 2107, 6148, 3653, 3407, 2200, 286, 24419, 519, 3978, 1145, 540, 1142, 1198, 547, 1174, 799, 3283, 991, 3007, 1101, 563, 274, 269, 26875, 1125, 1759, 593, 1981, 281, 28799, 519, 10171, 540, 1142, 5821, 609, 922, 10335, 547, 3313, 519, 2949, 1981, 269, 8409, 14286, 609, 2362, 4220, 1205, 10862, 1317, 789, 1223, 2014, 1713, 2042, 563, 275, 269, 3763, 3435, 281, 3767, 602, 596, 917, 799, 14286, 10460, 519, 1034, 1981, 267, 16540, 2081, 547, 2061, 610, 11574, 873, 269, 9320, 596, 1223, 1039, 811, 2834, 24422, 267, 2087, 2866, 585, 12427, 267, 610, 22010, 1978, 3334, 269, 7994, 519, 1655, 3070, 4433, 264, 1759, 593, 7145, 267, 23250, 267, 543, 1942, 563, 276, 269, 5623, 543, 9337, 281, 1306, 942, 4422, 593, 267, 30603 ]

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

[ 543, 519, 1862, 3657, 851, 540, 519, 7944, 18429, 540, 4023, 2229, 4016, 547, 513, 6240, 540, 519, 1614, 7916, 2229, 269, 769, 1114, 2081, 476, 5038, 540, 519, 2596, 7293, 3741, 540, 11180, 7239, 4928, 950, 827, 269, 476, 4510, 267, 476, 7830, 543, 476, 5038, 540, 519, 9668, 540, 7060, 538, 9864, 9668, 540, 7060, 31065, 17337, 519, 5238, 540, 883, 1862, 3414, 938, 3015, 267, 15138, 267, 23913, 3292, 543, 2200, 267, 519, 17135, 29731, 9794, 906, 593, 1876, 12912, 513, 10579, 1287, 1862, 717, 1161, 1379, 547, 2322, 1876, 883, 2962, 676, 519, 4341, 540, 1876, 602, 519, 946, 540, 1379, 568, 835, 519, 269, 1677, 4019, 585, 16028, 267, 4891, 1590, 581, 9674, 585, 513, 1974, 540, 8959, 585, 1862, 22391, 476, 1626, 540, 519, 824, 1688, 267, 519, 7225, 26547, 568, 4830, 540, 519, 8241, 1062, 540, 2229, 1614, 269, 634, 18027, 302, 26342, 519, 2757, 5411, 540, 2197, 2429, 5245, 543, 1118, 4031, 3335, 3217, 2547, 256, 16390, 676, 799, 5245, 568, 2196, 1079, 8219, 1876, 995, 267, 543, 3576, 1198, 593, 476, 272, 476, 5002, 272, 1862, 25024, 1797, 602, 519, 1053, 1174, 602, 12057, 568, 513, 1747, 1141, 26110, 543, 1373, 1862, 634, 18591, 543, 13623, 11313, 1379, 547, 1118, 543, 4383, 8241, 1876, 1500, 269, 634, 5428, 543, 1896, 18787, 13934, 519, 1876, 3947, 1379, 547, 17982, 519, 4031, 9139, 6902, 568, 563, 293, 1515, 325, 1314, 6019, 9796, 17361, 476, 1708, 272, 267, 26346, 7689, 4643, 6168, 667, 8817, 1656, 18763, 1849, 13415, 267, 14559, 2334, 781, 1548, 594, 21763, 4446, 21884, 16200, 267, 772, 342, 9457, 781, 769, 6820, 2657, 267, 1215, 1677, 774, 514, 2098, 514, 1087, 518, 23642, 10021, 518, 267, 853, 9986, 2378, 13335, 16458, 1467, 267, 22503, 2107, 21058, 4436, 2701, 23311, 23749, 267, 0, 1432, 616, 1863, 18119, 454, 1103, 6915, 2275, 8707, 3157, 11179, 9648, 538, 519, 1480, 1560, 616, 5214, 543, 22803, 7135, 269, 634, 5449, 1331, 5946, 543, 11476, 267, 11950, 267, 26307, 267, 10399, 543, 31332, 7408, 630, 19091, 543, 10717, 1070, 824, 6878, 3812, 676, 10307, 3157, 269, 634, 2034, 267, 22803, 267, 666, 581, 11911, 1216, 543, 5135, 563, 30874, 5135, 6675, 616, 4646, 538, 519, 1560, 607, 513, 1267, 540, 519, 7244, 5832, 267, 621, 3322, 2516, 540, 24197, 5946, 13321, 5135, 31067, 676, 3425, 538, 20722, 27343, 2468, 874, 6664, 7595, 3679, 267, 513, 2707, 540, 1648, 585, 2281, 269, 1306, 513, 676, 28237, 540, 713, 1184, 267, 3742, 3029, 540, 5135, 616, 4646, 267, 2348, 606, 10002, 8529, 6475, 19788, 824, 8444, 543, 6675, 267, 4929, 606, 29252, 5832, 5114, 538, 519, 1560, 269, 1358, 723, 513, 3532, 19842, 4390, 543, 616, 1572, 968, 16451, 18119, 9731, 1432, 616, 5906, 1863, 18119, 454, 10403, 18119, 267, 1175, 607, 824, 1271, 7135, 6383, 538, 519, 1560, 1685, 1978, 12214, 3252, 281, 616, 3238, 538, 10282, 540, 513, 1297, 540, 6211, 22124, 267, 1852, 519, 1184, 540, 24931, 6077, 6821, 267, 12954, 2067, 23553, 1591, 2669, 563, 3719, 267, 952, 513, 5832, 5114, 5473, 1863, 18119, 5956, 267, 799, 666, 581, 15427, 676, 5739, 5007, 2360, 267, 519, 1184, 540, 741, 29252, 12093, 5956, 267, 607, 513, 1267, 540, 799, 949, 1689, 1344, 6402, 267, 3056, 547, 2242, 538, 519, 4719, 3009, 267, 17522, 540, 519, 2497, 540, 5946, 269, 259, 634, 4761, 1062, 602, 8060, 971, 13592, 17767, 873, 607, 606, 25983, 1275, 543, 13290, 547, 6861, 873, 269, 634, 1267, 568, 2860, 267, 1519, 26679, 267, 607, 1134, 607, 2295, 4713, 281, 19473, 29912, 267, 2295, 4323, 267, 8482, 267, 3092, 1421, 824, 4105, 8219, 563, 10403, 18119, 4646, 538, 1804, 2338, 6861, 1591, 17011, 267, 7674, 607, 513, 2186, 540, 4027, 540, 2281, 267, 799, 5012, 547, 519, 13250, 540, 5714, 538, 519, 1560, 267, 519, 12343, 540, 799, 568, 10172, 269, 769, 1840, 267, 519, 1377, 540, 7513, 1543, 849, 2242, 267, 799, 849, 1008, 10280, 519, 12136, 540, 1272, 4713, 269, 634, 454, 1410, 4156, 791, 28127, 602, 666, 12954, 971, 513, 5832, 5114, 666, 581, 5982, 610, 22292, 4598, 267, 2713, 538, 13476, 13818, 2127, 267, 5739, 2360, 540, 10269, 8673, 543, 9688, 3154, 269, 259, 2405, 923, 3494, 1426, 3638, 538, 9600, 666, 849, 9594, 606, 2333, 538, 519, 1297, 540, 1863, 18119, 538, 519, 1560, 563, 1692, 547, 9243, 1125, 519, 5739, 2360, 540, 1863, 18119, 454, 14722, 723, 1279, 1044, 7722, 538, 713, 3390, 267, 593, 799, 519, 1480, 1272, 19104, 5673, 269, 634, 946, 540, 2178, 14434, 630, 656, 9171, 1218, 264, 568, 519, 16185, 789, 2709, 2221, 269, 6341, 9482, 593, 8047, 2831, 267, 14434, 4847, 547, 2333, 741, 1272, 19104, 676, 476, 2412, 910, 2004, 10065, 634, 454, 16058, 1560, 568, 2111, 547, 10446, 3132, 14434, 267, 799, 616, 3833, 2614, 267, 607, 1279, 607, 2713, 2175, 798, 711, 4125, 17613, 543, 5739, 2825, 2360, 269, 6270, 14434, 1331, 519, 3940, 22965, 987, 7748, 267, 799, 568, 3812, 538, 519, 6797, 689, 11254, 7408, 269, 898, 568, 2111, 547, 2569, 519, 2800, 540, 5061, 267, 7296, 543, 5982, 4598, 547, 519, 1560, 267, 9243, 3278, 519, 2360, 540, 18068, 538, 519, 2126, 540, 2860, 3676, 267, 18788, 13802, 602, 4283, 519, 1560, 1927, 609, 4568, 267, 9243, 3278, 519, 2962, 540, 5230, 8407, 267, 799, 8992, 10826, 538, 2013, 540, 1973, 543, 6797, 3676, 269, 4706, 2962, 5956, 1256, 1354, 1863, 18119, 666, 2253, 741, 16160, 3310, 267, 22965, 987, 7748, 1927, 609, 31093, 3029, 606, 11747, 602, 9243, 3278, 519, 25681, 4646, 896, 741, 2962, 7250, 563, 763, 1034, 3742, 606, 9171, 656, 1634, 547, 4266, 568, 5283, 28853, 267, 799, 568, 3812, 676, 519, 12566, 531, 14189, 540, 519, 2634, 267, 855, 922, 2504, 538, 519, 1560, 6238, 547, 7771, 1256, 1354, 23648, 563, 16766, 540, 14434, 602, 513, 1268, 666, 1205, 1927, 609, 1426, 1331, 8324, 281, 589, 267, 595, 543, 661, 267, 12498, 21307, 582, 2940, 267, 24140, 523, 10405, 1627, 1015, 267, 10250, 2609, 281, 31093, 267, 13058, 267, 2166, 4614, 710, 282, 10399, 281, 5283, 28853, 269, 2368, 2371, 723, 1164, 606, 9171, 656, 3601, 281, 575, 1074, 334, 21536, 20899, 267, 30207, 267, 18812, 6079, 1349, 267, 3039, 7401, 267, 17708, 1540, 29704, 543, 10568, 9274, 267, 4195, 5388, 543, 5613, 563, 302, 5554, 9593, 545, 605, 13183, 30662, 1938, 8659, 538, 18812, 6079, 543, 12566, 13626, 21555, 723, 476, 2004, 543, 476, 736, 2053, 811, 3532, 538, 741, 9831, 894, 2962, 982, 8324, 595, 543, 661, 269, 6606, 563, 1103, 1840, 267, 972, 616, 6878, 602, 666, 3986, 519, 9831, 894, 2360, 540, 8324, 543, 22965, 987, 7748, 267, 971, 607, 13672, 2000, 760, 18757, 3679, 267, 799, 568, 849, 513, 606, 1271, 5057, 602, 5849, 519, 2504, 540, 11476, 602, 2490, 1426, 883, 1648, 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 ]

[ 8871, 19600, 269, 4750, 540, 16373, 267, 5261, 595, 269, 717, 4660, 529, 267, 5292, 269, 476, 3393, 267, 3143, 269, 476, 273, 267, 590, 720, 23549, 267, 5549, 1421, 808, 4306, 3036, 267, 11354, 476, 2735, 272, 563, 31388, 267, 2904, 476, 1240, 267, 476, 1708, 271, 454, 14549, 19338, 15907, 519, 1158, 1480, 19338, 4523, 1472, 721, 1510, 721, 711, 6005, 610, 1483, 2358, 1018, 568, 8345, 269, 7073, 6377, 8474, 6818, 1472, 519, 1158, 543, 621, 568, 1634, 2221, 607, 1480, 19338, 610, 19338, 538, 7606, 269, 1924, 267, 1018, 568, 1480, 19338, 543, 1946, 1810, 512, 1082, 1004, 3343, 585, 948, 610, 979, 547, 513, 2288, 1399, 7790, 4270, 1480, 19338, 568, 2413, 6377, 8474, 543, 3322, 519, 946, 540, 3196, 267, 12611, 267, 610, 28170, 542, 547, 3489, 930, 1826, 540, 4074, 610, 5010, 3023, 957, 269, 5272, 1032, 6634, 540, 2367, 543, 4807, 543, 865, 540, 519, 942, 1453, 616, 1373, 911, 742, 17673, 538, 2477, 1472, 519, 1158, 543, 602, 1519, 519, 2136, 2276, 630, 340, 4732, 18502, 264, 1547, 5274, 19338, 568, 899, 513, 6456, 6760, 607, 930, 540, 519, 9601, 10355, 3343, 585, 1317, 540, 519, 12728, 14214, 12953, 2485, 355, 19651, 811, 1543, 12728, 14214, 12953, 2485, 355, 2414, 2149, 519, 1318, 602, 649, 723, 543, 547, 1832, 1004, 6870, 543, 1034, 1514, 4600, 616, 5432, 609, 519, 3390, 593, 1480, 19338, 269, 1703, 723, 1044, 3908, 2963, 593, 1004, 521, 1072, 4539, 540, 1480, 19338, 899, 2348, 4638, 1072, 2042, 1519, 7486, 2073, 1981, 540, 2168, 543, 2790, 2042, 1851, 519, 911, 742, 17673, 1004, 269, 2368, 540, 519, 1453, 543, 2021, 1018, 789, 1294, 610, 1373, 6306, 693, 942, 789, 1205, 2790, 2042, 269, 5620, 519, 942, 519, 1004, 1589, 540, 873, 607, 1480, 519, 4440, 1152, 1416, 827, 789, 811, 543, 789, 1810, 512, 1416, 945, 789, 10413, 610, 952, 789, 723, 2729, 269, 5620, 540, 741, 942, 930, 798, 1004, 2097, 547, 3343, 585, 948, 1745, 543, 1310, 789, 798, 1205, 789, 1745, 607, 1018, 540, 4755, 547, 873, 543, 789, 666, 512, 1205, 723, 789, 2729, 875, 621, 729, 1354, 269, 9578, 1480, 19338, 1831, 8194, 2073, 5208, 2073, 1373, 705, 2265, 539, 543, 6057, 547, 519, 9601, 2713, 610, 1373, 538, 602, 3510, 543, 711, 2111, 547, 1294, 707, 1920, 2818, 1547, 4107, 4080, 2168, 610, 4638, 5208, 1247, 911, 742, 17673, 630, 4817, 15992, 840, 13652, 16751, 6057, 630, 6795, 15992, 543, 2789, 2022, 19338, 2168, 543, 5626, 2042, 269, 1924, 1480, 19338, 4755, 1472, 519, 543, 1082, 1004, 616, 10332, 1317, 621, 1945, 602, 568, 1271, 538, 938, 2486, 538, 938, 1158, 2221, 269, 1452, 1480, 19338, 9601, 7985, 689, 5626, 543, 2790, 1072, 609, 519, 540, 1072, 1416, 269, 2311, 2053, 930, 540, 519, 1453, 610, 10708, 1397, 2589, 540, 17004, 2859, 16665, 17457, 4303, 26913, 281, 5274, 3004, 16751, 476, 279, 5780, 9293, 17723, 1923, 12728, 476, 275, 9664, 26108, 645, 11448, 22627, 4700, 5274, 19338, 568, 519, 2413, 1554, 8474, 267, 621, 3322, 2921, 1852, 936, 513, 1268, 998, 3196, 267, 12611, 610, 28170, 542, 547, 17908, 519, 6408, 585, 7142, 4074, 267, 4638, 14226, 269, 610, 1312, 630, 12728, 14214, 12953, 30755, 30948, 12728, 14214, 12953, 1612, 269, 272, 1040, 901, 568, 1831, 519, 8909, 4641, 585, 1082, 267, 5111, 1614, 856, 540, 1169, 476, 272, 267, 1822, 1004, 5001, 616, 1373, 7142, 883, 713, 971, 8474, 269, 7861, 15501, 540, 1480, 19338, 616, 1004, 540, 782, 10080, 543, 6502, 267, 1100, 835, 568, 2922, 689, 519, 18660, 3946, 540, 1480, 911, 742, 1157, 619, 269, 5272, 1032, 5649, 2859, 14549, 3004, 16751, 1656, 634, 7073, 4303, 26913, 4828, 1911, 277, 9293, 17723, 1923, 12728, 476, 276, 9664, 7615, 540, 7803, 5126, 267, 543, 568, 1634, 607, 519, 2413, 1554, 8474, 269, 901, 1957, 786, 849, 1865, 519, 14051, 538, 1480, 19338, 269, 634, 1353, 981, 514, 1965, 519, 1764, 540, 2804, 14051, 593, 519, 1480, 19338, 1102, 869, 338, 1472, 519, 1158, 269, 901, 1957, 786, 2253, 676, 3246, 519, 4214, 540, 1018, 1480, 19338, 543, 14051, 568, 267, 543, 875, 621, 1568, 1369, 519, 2796, 540, 1876, 11268, 269, 634, 1686, 540, 1480, 19338, 543, 875, 1480, 19338, 568, 1198, 532, 7239, 2066, 519, 1158, 269, 901, 5649, 2859, 14549, 3004, 16751, 1656, 7073, 4303, 26913, 4828, 16928, 271, 9293, 17723, 1923, 12728, 476, 277, 9664, 14549, 3004, 16751, 1703, 568, 606, 2479, 3395, 1966, 602, 568, 1330, 28410, 519, 1158, 269, 5272, 1554, 476, 274, 267, 27868, 1004, 616, 4421, 610, 32043, 11474, 267, 543, 616, 7142, 883, 8474, 269, 630, 14549, 3004, 16751, 10803, 18614, 476, 1001, 273, 264, 4107, 1004, 798, 711, 8275, 602, 2413, 6377, 8474, 4523, 6251, 547, 1753, 982, 789, 1589, 269, 476, 1691, 267, 1822, 268, 1704, 267, 4335, 568, 519, 6059, 1297, 540, 1004, 911, 742, 17673, 883, 519, 2136, 2276, 1142, 1032, 269, 630, 14549, 3004, 16751, 10803, 18614, 476, 1001, 273, 264, 634, 2229, 814, 6836, 547, 2569, 713, 1966, 607, 1134, 607, 4948, 1004, 5649, 2859, 14549, 3004, 16751, 2433, 7073, 4303, 26913, 8182, 275, 9293, 17723, 1923, 12728, 476, 278, 9664, 14549, 3004, 16751, 2290, 540, 519, 1034, 3978, 10963, 5001, 267, 1480, 19338, 568, 519, 9140, 267, 9513, 267, 543, 6283, 540, 1004, 585, 519, 946, 540, 4638, 14226, 267, 7142, 4074, 267, 610, 1418, 8851, 269, 17723, 14214, 12953, 30755, 257, 14549, 19338, 568, 2413, 6377, 8474, 543, 3322, 519, 946, 540, 3196, 267, 12611, 267, 610, 28170, 542, 547, 3489, 930, 1826, 540, 4074, 610, 5010, 3023, 957, 269, 12728, 14214, 12953, 630, 1432, 568, 1480, 19338, 13067, 14657, 264, 898, 4523, 538, 519, 2136, 2276, 543, 4914, 2477, 269, 3509, 1004, 798, 711, 1294, 621, 8345, 267, 855, 538, 1249, 621, 568, 8345, 5649, 2859, 14549, 3004, 16751, 2433, 7073, 4303, 26913, 14631, 272, 9293, 17723, 1923, 12728, 476, 278, 9664, 14549, 19338, 568, 2413, 1554, 8474, 602, 4386, 609, 1312, 25469, 540, 782, 6502, 269, 5274, 19338, 4386, 6140, 538, 25013, 2477, 899, 5607, 267, 543, 8109, 2342, 543, 3884, 512, 9003, 4638, 8474, 282, 519, 9601, 666, 581, 1031, 585, 4074, 5301, 849, 269, 20871, 899, 32655, 16593, 4139, 543, 29663, 18830, 3004, 16751, 538, 6468, 4339, 547, 15063, 519, 9601, 540, 1480, 19338, 269, 1452, 3906, 3262, 519, 12178, 540, 1208, 606, 19338, 998, 2069, 543, 1857, 4656, 269, 10705, 2053, 19338, 5649, 2859, 14549, 3004, 16751, 2433, 7073, 4303, 26913, 14338, 279, 9293, 17723, 1923, 12728, 476, 276, 9664, 15907, 519, 1158, 1480, 19338, 4523, 1472, 721, 1510, 721, 711, 6005, 610, 1483, 2358, 1018, 568, 8345, 269, 7073, 6377, 8474, 6818, 1472, 519, 1158, 543, 621, 568, 1634, 2221, 607, 1480, 19338, 610, 19338, 538, 7606, 269, 1924, 267, 1018, 568, 1480, 19338, 543, 1946, 1810, 512, 1082, 1004, 3343, 585, 948, 610, 979, 547, 513, 2288, 1399, 7790, 4270, 1480, 19338, 568, 2413, 6377, 8474, 543, 3322, 519, 946, 540, 3196, 267, 12611, 267, 610, 28170, 542, 547, 3489, 930, 1826, 540, 4074, 610, 5010, 3023, 957, 269, 5272, 1032, 6634, 540, 2367, 543, 4807, 543, 5649, 2859, 14549, 3004, 16751, 2433, 589, 7073, 4303, 26913, 280, 8618, 9293, 17723, 1923, 12728, 476, 275, 9664, 12626, 10001, 8734, 269, 476, 2537, 476, 1001, 276, 1215, 547, 17547, 3004, 16751, 6468, 616, 711, 519, 1152, 3283, 1373, 4421, 2221, 269, 2494, 616, 711, 519, 1152, 3283, 9513, 3425, 2221, 269, 2353, 1114, 5686, 540, 3425, 616, 1373, 4421, 538, 1945, 1572, 1480, 19338, 269, 5274, 19338, 814, 1831, 513, 1966, 5001, 543, 568, 1198, 532, 782, 1004, 5256, 267, 4775, 267, 1453, 267, 10349, 269, 1703, 616, 1082, 3435, 267, 835, 540, 873, 568, 547, 13599, 519, 1453, 693, 513, 7820, 2085, 269, 5274, 19338, 568, 899, 513, 2413, 1554, 8474, 269, 634, 1004, 1373, 4421, 616, 7142, 538, 5649, 2859, 14549, 3004, 16751, 2433, 7073, 4303, 26913, 15876, 273, 9293, 17723, 1923, 12728, 476, 278, 9664, 295, 1446, 344, 6153, 532, 11427, 269, 11829, 657, 2296, 476, 274, 12968, 832, 476, 277, 4989, 476, 1001, 278, 5274, 3004, 16751, 2290, 540, 519, 1034, 3978, 10963, 5001, 267, 1480, 19338, 568, 519, 9140, 267, 9513, 267, 543, 6283, 540, 1004, 585, 519, 946, 540, 4638, 14226, 267, 7142, 4074, 267, 610, 1418, 8851, 269, 17723, 14214, 12953, 30755, 257, 14549, 19338, 568, 2413, 6377, 8474, 543, 3322, 519, 946, 540, 3196, 267, 12611, 267, 610, 28170, 542, 547, 3489, 930, 1826, 540, 4074, 610, 5010, 3023, 957, 269, 12728, 14214, 12953, 630, 1432, 568, 1480, 19338, 13067, 14657, 264, 898, 4523, 538, 519, 2136, 2276, 543, 4914, 2477, 269, 3509, 1004, 5649, 2859, 14549, 3004, 16751, 2433, 7073, 4303, 26913, 13199, 271, 9293, 17723, 1923, 12728, 476, 276, 9664, 14549, 3004, 16751, 5994, 1373, 2111, 547, 1378, 513, 1870, 543, 1118, 4986, 855, 7443, 269, 2290, 540, 519, 2010, 540, 19338, 568, 8534, 3004, 16751, 267, 799, 2337, 1832, 5777, 14949, 676, 2348, 10464, 4600, 269, 1403, 3549, 798, 711, 723, 1004, 2324, 538, 15327, 585, 1360, 2370, 1287, 513, 2603, 540, 5777, 1131, 979, 909, 21173, 899, 593, 7802, 543, 11647, 269, 589, 2603, 540, 2477, 4346, 616, 3710, 1055, 3023, 19338, 799, 2337, 519, 4346, 3648, 269, 634, 5571, 17723, 14214, 12953, 30755, 257, 335, 1156, 1580, 517, 12728, 14214, 12953, 540, 1480, 19338, 568, 711, 513, 1966, 5649, 2859, 14549, 3004, 16751, 2433, 7073, 4303, 26913, 4828, 15946, 280, 9293, 17723, 1923, 12728, 476, 277, 9664, 303, 539, 571, 5633, 5274, 3004, 16751, 5274, 3004, 16751, 4347, 1441, 5274, 3004, 16751, 568, 17723, 14214, 12953, 30755, 257, 19640, 1554, 8474, 543, 3322, 519, 946, 540, 3196, 267, 12611, 267, 610, 28170, 542, 547, 3489, 930, 1826, 540, 4074, 610, 5010, 3023, 957, 12728, 14214, 12953, 607, 3989, 676, 519, 4972, 540, 13067, 14657, 8232, 269, 898, 568, 7361, 11389, 322, 1758, 1242, 4352, 621, 568, 835, 540, 519, 16595, 3395, 7803, 6080, 269, 898, 911, 742, 923, 1453, 267, 14038, 267, 543, 4079, 269, 5274, 3004, 16751, 2501, 2034, 547, 3075, 7231, 269, 1703, 568, 1480, 19338, 585, 4638, 14226, 267, 19338, 540, 1418, 454, 26607, 11888, 267, 2904, 476, 1724, 267, 476, 1708, 271, 454, 2691, 621, 2501, 547, 519, 1849, 842, 976, 267, 835, 540, 17113, 1390, 2797, 3885, 267, 2123, 6644, 2864, 982, 4411, 2182, 5013, 2531, 7149, 519, 4901, 269, 1656, 950, 621, 2501, 547, 10830, 776, 22735, 267, 4892, 2901, 2648, 1200, 610, 13842, 1200, 269, 590, 1127, 1044, 642, 559, 1881, 676, 11122, 2510, 945, 711, 1152, 771, 3697, 513, 2178, 15594, 5639, 267, 855, 1843, 1256, 547, 1200, 946, 540, 4357, 15737, 547, 1865, 2123, 1920, 2152, 269, 8644, 5644, 1413, 4464, 547, 519, 1101, 4775, 547, 4196, 538, 519, 744, 1998, 8433, 269, 5600, 12102, 6205, 27211, 19994, 657, 328, 1256, 5143, 606, 5304, 538, 9741, 9412, 267, 8121, 267, 594, 7281, 602, 10830, 776, 22735, 16976, 547, 2196, 585, 7022, 540, 519, 2136, 2276, 269, 1924, 13071, 1205, 1524, 547, 21567, 512, 2931, 281, 1772, 10830, 776, 22735, 11727, 547, 581, 519, 5518, 540, 519, 2136, 2276, 286, 634, 967, 529, 1584, 762, 2626, 568, 9811, 269, 3143, 2339, 1018, 596, 1589, 540, 1200, 267, 1100, 2339, 1018, 5428, 596, 8917, 585, 267, 10830, 776, 22735, 568, 811, 982, 11727, 547, 581, 519, 5518, 540, 519, 2136, 2276, 910, 811, 267, 538, 1249, 267, 982, 1082, 23602, 543, 17485, 619, 540, 519, 16232, 14797, 538, 938, 1686, 269, 18786, 950, 1352, 729, 513, 1762, 2937, 267, 1849, 842, 976, 2797, 4876, 814, 1044, 9867, 543, 11826, 267, 543, 2016, 1200, 1312, 1702, 543, 1995, 538, 6469, 543, 3486, 6214, 269, 14891, 2797, 25566, 8355, 9796, 928, 13187, 602, 1352, 949, 581, 519, 1034, 11727, 11134, 585, 519, 24164, 538, 513, 5108, 269, 17723, 634, 17943, 281, 7216, 15232, 3689, 267, 13071, 9004, 519, 2596, 20340, 689, 15784, 609, 2543, 547, 4008, 269, 1306, 519, 772, 2529, 269, 9139, 3274, 2829, 267, 3143, 1268, 4849, 513, 2067, 4535, 12504, 267, 610, 513, 12504, 540, 519, 2136, 2276, 267, 693, 519, 942, 540, 519, 10073, 540, 713, 9139, 267, 4927, 581, 14718, 547, 519, 5604, 540, 5518, 282, 9444, 4927, 1022, 1268, 581, 14718, 547, 602, 5604, 945, 4927, 711, 723, 25189, 547, 519, 2085, 540, 13977, 19317, 1296, 267, 543, 1044, 27552 ]

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

[ 2961, 321, 10791, 9137, 1215, 547, 16259, 23126, 6969, 18786, 513, 8899, 4211, 16808, 10791, 21763, 547, 700, 846, 13379, 538, 476, 1001, 280, 286, 2913, 721, 948, 596, 609, 513, 10531, 7594, 1544, 256, 0, 289, 6621, 568, 513, 1062, 540, 5385, 676, 799, 5370, 610, 2533, 616, 2047, 22121, 585, 824, 5370, 610, 2533, 1510, 1210, 513, 5420, 540, 5385, 267, 971, 607, 2724, 269, 898, 568, 10646, 762, 689, 10516, 11615, 538, 602, 519, 23483, 5385, 568, 7525, 543, 711, 16607, 538, 942, 269, 898, 568, 2356, 24845, 267, 855, 949, 581, 1617, 10561, 630, 328, 4318, 1421, 25358, 998, 30550, 3906, 264, 543, 2356, 6818, 6252, 547, 13075, 1949, 538, 1034, 2919, 2477, 267, 1498, 547, 513, 1360, 3908, 6708, 269, 4446, 614, 2356, 30283, 2724, 607, 519, 1505, 540, 5385, 538, 2053, 540, 13075, 6433, 267, 971, 607, 950, 519, 9304, 949, 581, 2901, 18633, 630, 324, 3052, 1421, 5409, 8882, 3175, 610, 1219, 3175, 776, 18700, 264, 610, 3274, 28998, 585, 10647, 16450, 563, 28061, 700, 15586, 12090, 519, 2165, 834, 29985, 5385, 9467, 1062, 257, 630, 4041, 4811, 264, 538, 476, 2735, 274, 543, 585, 513, 942, 10443, 519, 1290, 2135, 9503, 19845, 4811, 2448, 338, 538, 3938, 1084, 599, 267, 3703, 12052, 269, 19845, 4811, 5121, 946, 1719, 6954, 2199, 5491, 865, 1463, 2220, 2355, 798, 711, 991, 547, 581, 1500, 269, 1280, 3236, 267, 513, 4759, 949, 7118, 5491, 676, 3257, 1126, 3249, 585, 835, 1268, 543, 6108, 621, 2663, 593, 15790, 18782, 609, 1776, 1268, 538, 519, 1482, 3060, 269, 769, 19845, 4811, 267, 7429, 824, 2199, 19728, 267, 1100, 1085, 8692, 568, 9783, 267, 855, 2864, 8852, 616, 6592, 538, 513, 3844, 4087, 1930, 547, 782, 2818, 269, 1306, 5491, 568, 9783, 676, 519, 3060, 2818, 267, 585, 519, 4324, 540, 519, 2818, 2933, 267, 19845, 4811, 616, 2808, 8994, 5491, 1949, 563, 290, 2734, 622, 30550, 6212, 593, 3677, 8852, 267, 799, 568, 1114, 689, 513, 2757, 267, 10685, 20218, 30550, 5385, 269, 23654, 30550, 15377, 3335, 946, 2923, 543, 10229, 607, 15407, 585, 741, 3677, 8852, 269, 898, 14122, 519, 946, 540, 513, 9304, 1770, 1572, 513, 834, 339, 8565, 29931, 9016, 2668, 634, 4123, 29931, 9016, 1590, 711, 1152, 581, 1634, 543, 16798, 267, 855, 849, 581, 12595, 538, 606, 2179, 519, 2923, 543, 10229, 1223, 723, 1044, 12349, 585, 1185, 519, 834, 743, 1304, 257, 11751, 621, 2933, 630, 4186, 847, 547, 9004, 13509, 543, 1981, 1916, 8256, 10179, 2861, 30550, 1949, 5749, 1406, 519, 1152, 4123, 538, 4884, 267, 2901, 269, 769, 519, 717, 14011, 267, 972, 568, 513, 7347, 1870, 3562, 1532, 5350, 30550, 1062, 267, 2147, 547, 530, 597, 855, 593, 513, 4130, 4336, 269, 24371, 1129, 909, 585, 513, 3028, 9789, 516, 616, 1896, 2139, 11652, 4123, 30898, 2683, 960, 3108, 610, 7452, 2275, 2642, 11891, 585, 5370, 543, 2533, 789, 7948, 1406, 6382, 6488, 267, 2523, 1282, 21748, 776, 2053, 281, 1419, 1919, 602, 4482, 1283, 13007, 543, 11677, 2462, 7218, 267, 971, 607, 10229, 267, 30572, 10591, 610, 7817, 829, 802, 269, 0, 3528, 30370, 589, 269, 1234, 529, 454, 1607, 27412, 6645, 540, 519, 9295, 540, 3979, 22988, 547, 519, 2601, 585, 519, 5742, 1369, 519, 1977, 6406, 13137, 269, 693, 519, 1376, 1201, 11712, 689, 267, 4652, 770, 2989, 17051, 543, 608, 1606, 331, 2314, 6368, 1810, 2740, 26977, 543, 10692, 538, 3606, 982, 2185, 4627, 12959, 269, 7488, 540, 1025, 520, 656, 14882, 543, 7130, 267, 789, 9863, 741, 1130, 712, 543, 8329, 3810, 547, 519, 1434, 19539, 540, 519, 5742, 563, 5649, 610, 8281, 3979, 4892, 543, 519, 6406, 2782, 630, 763, 6406, 2782, 281, 513, 13780, 667, 22866, 264, 7300, 454, 13436, 11585, 1299, 4529, 2835, 454, 288, 22525, 6941, 519, 3527, 8345, 693, 6469, 593, 513, 5665, 669, 809, 3484, 563, 2662, 12241, 513, 19996, 12406, 741, 20987, 267, 513, 6014, 10252, 22842, 12390, 4157, 27204, 609, 513, 962, 1575, 1731, 10507, 330, 24982, 737, 8882, 13083, 543, 25395, 789, 6871, 1082, 9821, 563, 299, 820, 1744, 648, 3196, 267, 519, 1713, 631, 850, 267, 7952, 623, 1512, 269, 10371, 3274, 519, 1448, 856, 540, 1346, 11599, 2798, 540, 1719, 26182, 513, 6607, 1467, 4857, 2066, 519, 1158, 1317, 519, 6489, 344, 4683, 269, 8080, 547, 9628, 256, 543, 972, 568, 1100, 2362, 3391, 1504, 547, 519, 4884, 982, 654, 568, 585, 6489, 344, 4683, 281, 589, 9628, 22843, 269, 11374, 519, 9904, 267, 519, 2749, 781, 7209, 543, 28125, 21056, 616, 11207, 9676, 538, 6648, 543, 16878, 21849, 1543, 563, 4504, 1238, 806, 519, 19824, 543, 18517, 540, 23509, 13957, 532, 1446, 267, 15713, 4651, 540, 519, 13957, 532, 1446, 9872, 540, 16711, 563, 21206, 9623, 585, 3979, 4892, 543, 519, 6406, 2782, 630, 763, 6406, 2782, 281, 513, 13780, 667, 22866, 994, 6624, 5249, 538, 4070, 543, 8808, 267, 1247, 1866, 14475, 9604, 538, 6186, 1559, 610, 3177, 27445, 2533, 269, 11524, 941, 8655, 811, 4074, 25673, 960, 267, 971, 607, 18205, 20857, 630, 629, 913, 1040, 13338, 13800, 547, 513, 4914, 2197, 267, 799, 9098, 1631, 6811, 547, 581, 269, 11683, 595, 776, 281, 1809, 596, 2161, 267, 649, 666, 1406, 694, 1027, 324, 267, 543, 865, 596, 3112, 9846, 1033, 664, 519, 27740, 525, 269, 589, 6519, 2494, 779, 2782, 4937, 30215, 281, 1809, 596, 2161, 596, 723, 694, 1027, 539, 267, 543, 865, 596, 3112, 9846, 3409, 873, 269, 594, 4927, 1033, 664, 519, 27740, 525, 607, 733, 4599, 663, 540, 2112, 563, 1432, 6368, 7479, 12184, 5518, 12493, 547, 17551, 585, 7839, 31414, 729, 711, 513, 2620, 7287, 547, 1294, 10437, 15685, 593, 6240, 269, 13298, 267, 621, 729, 519, 991, 547, 1305, 873, 1863, 607, 513, 2112, 13766, 269, 634, 4339, 547, 11177, 519, 5742, 1185, 711, 8854, 1134, 1282, 519, 476, 1240, 3275, 2094, 519, 2112, 1185, 13175, 269, 769, 6370, 1310, 6370, 267, 5742, 4229, 2901, 1558, 14710, 610, 8959, 547, 1491, 5413, 540, 20752, 12755, 543, 6861, 519, 10546, 269, 1635, 519, 4832, 540, 476, 5908, 273, 267, 519, 8832, 1857, 267, 711, 547, 2446, 922, 4108, 267, 729, 27209, 543, 25922, 563, 7922, 2931, 10261, 3502, 15233, 898, 729, 547, 581, 513, 2112, 547, 11177, 519, 5742, 267, 547, 22653, 924, 519, 2197, 267, 543, 547, 5531, 1394, 883, 519, 16784, 519, 476, 1556, 8828, 2829, 602, 1185, 694, 1027, 539, 267, 6450, 8215, 267, 543, 10294, 741, 7115, 269, 1656, 267, 693, 2547, 538, 519, 4098, 267, 621, 729, 547, 581, 513, 3043, 812, 779, 2112, 269, 5131, 8832, 17051, 267, 476, 272, 2600, 540, 519, 5742, 2551, 630, 13975, 267, 1822, 1070, 991, 711, 4019, 281, 4256, 2533, 1131, 711, 581, 2838, 269, 1703, 941, 849, 2673, 547, 476, 275, 2929, 8828, 10437, 693, 519, 2112, 779, 12176, 269, 898, 729, 15991, 4502, 7234, 1018, 9295, 789, 1522, 1118, 547, 519, 5742, 2014, 563, 28893, 4892, 543, 519, 6406, 2782, 630, 763, 6406, 2782, 281, 513, 13780, 667, 22866, 264, 676, 30370, 589, 269, 1234, 529, 0, 10214, 1498, 4816, 4522, 616, 711, 5921, 547, 2063, 11014, 267, 789, 4196, 930, 1360, 1271, 3252, 585, 519, 942, 789, 616, 1472, 269, 13245, 4816, 4522, 1450, 707, 1126, 547, 11116, 543, 25261, 1426, 267, 24808, 4992, 7157, 1282, 4633, 267, 543, 267, 540, 1576, 267, 547, 12837, 256, 1358, 849, 948, 3391, 519, 8628, 4522, 267, 799, 786, 835, 1554, 5372, 873, 267, 883, 1697, 12972, 269, 1924, 621, 779, 1271, 547, 1491, 1434, 1416, 540, 873, 1247, 789, 2461, 1934, 269, 2913, 779, 2626, 930, 4749, 4280, 2055, 827, 12963, 25185, 563, 4692, 594, 1205, 1250, 4522, 19345, 1247, 594, 6557, 9176, 888, 8133, 2443, 543, 596, 1058, 256, 5637, 519, 1977, 15482, 5948, 543, 519, 1977, 6837, 540, 26861, 13011, 2103, 543, 21859, 31037, 5505, 4363, 602, 2021, 1832, 909, 609, 741, 2834, 8430, 540, 5959, 2973, 902, 543, 11400, 1282, 6379, 269, 3502, 3257, 865, 666, 1450, 2068, 27351, 6748, 5711, 9190, 547, 21707, 267, 799, 666, 581, 513, 1072, 1981, 585, 1312, 519, 2503, 656, 3993, 543, 1200, 21565, 563, 2710, 12256, 991, 741, 4522, 1490, 19813, 888, 8133, 267, 621, 779, 1271, 547, 1376, 513, 3232, 5711, 9882, 6296, 607, 4166, 607, 519, 1101, 4816, 5694, 5526, 2443, 2356, 28069, 1063, 3670, 543, 8370, 3275, 540, 2085, 269, 2422, 513, 1360, 2571, 1532, 2077, 1194, 1126, 13355, 28750, 543, 1175, 513, 1159, 792, 540, 21973, 26025, 630, 1492, 2450, 540, 513, 10286, 540, 7573, 1040, 1879, 707, 1126, 7140, 476, 274, 267, 2333, 519, 2179, 540, 21973, 26025, 547, 519, 2450, 540, 513, 890, 320, 563, 2691, 1058, 594, 1491, 1250, 1126, 538, 585, 1200, 1101, 5959, 13393, 888, 763, 2626, 547, 713, 835, 949, 9983, 596, 281, 2353, 1453, 1058, 1294, 513, 11290, 676, 519, 2085, 540, 476, 272, 269, 7216, 5959, 11564, 1205, 1453, 26224, 547, 2348, 741, 28182, 8947, 543, 741, 4522, 19345, 269, 26787, 713, 2635, 4356, 2038, 786, 979, 513, 1279, 1259, 4724, 5009, 513, 10715, 540, 1434, 5711, 1072, 563, 19675, 594, 5855, 602, 1250, 1126, 647, 4242, 1010, 14853, 888, 6546, 5673, 593, 875, 2025, 646, 568, 269, 774, 3518, 647, 9535, 568, 513, 3339, 267, 4313, 532, 4356, 585, 9002, 543, 20854, 269, 4107, 856, 326, 992, 621, 676, 519, 942, 789, 616, 476, 275, 269, 1809, 3214, 945, 1810, 1406, 616, 693, 2799, 1981, 585, 26966, 545, 2152, 2663, 593, 269, 1403, 707, 1126, 4667, 8572, 547, 2736, 519, 4356, 267, 1577, 721, 917, 282, 649, 666, 2285, 596, 811, 2143, 7840, 693, 707, 1985, 13393, 563, 1432, 666, 594, 798, 547, 2061, 1250, 1453, 689, 3478, 19659, 888, 13014, 2386, 707, 1453, 723, 606, 2500, 3232, 5711, 9882, 6296, 602, 2882, 17678, 609, 21973, 26025, 7466, 513, 1554, 543, 29781, 693, 2547, 2899, 829, 1554, 269, 1403, 789, 616, 1932, 1762, 547, 798, 513, 1434, 2816, 676, 2933, 267, 948, 873, 2347, 891, 1271, 4247, 269, 5901, 741, 4006, 4616, 607, 1970, 607, 2009, 282, 2628, 1880, 3007, 547, 16098, 2443, 14614, 267, 5026, 10425, 543, 1256, 476, 1911, 4939, 2067, 4829, 23238, 666, 782, 3895, 5694, 9178, 269, 1284, 666, 2709, 25191, 5796, 593, 8165, 19659, 267, 543, 1256, 1683, 21973, 5574, 543, 5959, 13021, 1218, 585, 3063, 4027, 1996, 19659, 269, 1924, 1810, 1406, 7340, 547, 3142, 707, 1126, 538, 547, 519, 5959, 5604, 585, 2834, 11400, 543, 2973, 902, 2336, 2791, 949, 711, 2141, 581, 2111, 547, 2995, 952, 707, 1126, 781, 11116, 3884, 1405, 3384, 5265, 269, 26115, 2334, 781, 1946, 596, 1058, 723, 873, 10929, 606, 26966, 545, 6268, 1472, 2085, 476, 277, 547, 10625, 1022, 6932, 2042, 609, 5694, 3765, 7955, 618, 563, 26170, 267, 972, 616, 930, 7298, 4191, 782, 781, 711, 1134, 609, 741, 11116, 269, 1306, 519, 3119, 630, 321, 17879, 264, 4522, 2285, 1259, 267, 519, 8628, 4522, 21074, 18615, 569, 1472, 6502, 476, 277, 547, 476, 279, 269, 1306, 789, 2097, 538, 267, 596, 1058, 5469, 602, 1142, 5694, 13352, 25144, 1985, 547, 1142, 824, 1510, 7050, 10616, 610, 267, 593, 519, 824, 1439, 540, 519, 8552, 267, 711, 22125, 1927, 538, 5186, 12097, 6752, 269, 16592, 4522, 1058, 849, 3514, 5594, 936, 519, 2539, 4522, 950, 519, 28287, 616, 9505, 563, 2252, 741, 4522, 5920, 1821, 28179, 689, 891, 8155, 267, 789, 949, 723, 513, 11116, 1966, 269, 3371, 616, 476, 275, 17244, 596, 1058, 4585, 585, 563, 15152, 321, 924, 610, 2620, 11116, 269, 1306, 649, 5018, 267, 519, 4395, 4522, 1058, 3382, 519, 2539, 4522, 609, 519, 28287, 9505, 269, 769, 606, 896, 321, 924, 267, 519, 9258, 4523, 2443, 519, 2539, 4522, 616, 538, 4395, 540, 519, 5580, 4522, 269, 898, 781, 849, 513, 1966, 952, 519, 5580, 4522, 3382, 519, 2539, 4522, 1932, 1454, 630, 21865, 5219, 547, 607, 968, 1372, 788, 569, 892, 1916, 15411, 11116, 269, 901, 4386, 950, 972, 781, 513, 7934, 1063, 519, 5580, 543, 2539, 4395, 4522, 1247, 519, 28287, 616, 9505, 1927, 269, 2290, 2009, 2014, 568, 3735, 14853, 647, 9535, 267, 799, 666, 2322, 3768, 826, 2604, 593, 519, 4395, 4522, 543, 2014, 873, 547, 1020, 1932, 2484, 4464, 1247, 16550, 519, 5377, 4395, 4522, 2417, 23651, 563, 15899, 321, 2572, 269, 901, 2186, 540, 11116, 4386, 950, 930, 540, 519, 4522, 1810, 1405, 3514, 5265, 936, 741, 13413, 267, 1247 ]

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

[ 345, 7537, 2073, 25391, 767, 2006, 594, 2073, 17796, 540, 670, 2678, 23189, 538, 23398, 4045, 2032, 4438, 2296, 6478, 14409, 538, 645, 13308, 543, 3933, 565, 532, 783, 5753, 11671, 321, 5735, 540, 1893, 630, 23173, 8822, 267, 7136, 12175, 476, 1708, 274, 4455, 476, 1556, 282, 476, 275, 630, 273, 1040, 476, 2735, 268, 13136, 454, 268, 20163, 281, 476, 4391, 273, 27768, 5400, 1496, 23809, 14073, 313, 28702, 918, 2073, 6129, 2473, 2073, 24204, 14160, 2073, 17378, 31760, 681, 299, 2073, 29485, 17241, 2073, 19162, 3205, 715, 2073, 2961, 639, 334, 966, 290, 2073, 13535, 2473, 306, 2073, 570, 731, 604, 570, 2073, 932, 537, 570, 299, 2073, 4425, 1054, 808, 305, 2073, 25391, 767, 2006, 594, 2073, 1912, 517, 1670, 543, 24466, 7924, 1983, 538, 2296, 543, 4457, 281, 589, 3444, 268, 1782, 340, 2065, 5778, 574, 1645, 6476, 540, 4457, 30165, 19636, 543, 1395, 565, 532, 783, 2296, 1453, 5274, 2634, 11837, 269, 476, 1708, 274, 7325, 476, 2537, 282, 476, 4510, 630, 1724, 1040, 476, 4366, 272, 273, 268, 4366, 273, 280, 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, 3848, 476, 1015, 281, 8891, 15950, 30578, 910, 15531, 4563, 7108, 2439, 5970, 596, 2479, 9289, 1141, 17405, 2501, 689, 286, 898, 781, 2182, 547, 4952, 938, 1158, 2221, 1510, 6517, 267, 21772, 267, 543, 27858, 18186, 4040, 1472, 256, 1809, 782, 1346, 6472, 991, 4492, 267, 543, 602, 4492, 6140, 2501, 689, 835, 2707, 281, 19386, 267, 849, 1634, 607, 19020, 3282, 269, 1924, 875, 798, 649, 1265, 713, 10475, 3109, 4154, 9944, 519, 3047, 781, 2627, 286, 2334, 781, 1141, 19386, 2520, 5505, 2097, 883, 1404, 256, 1358, 946, 741, 1620, 540, 7725, 267, 3889, 267, 543, 3157, 2620, 1369, 519, 3047, 547, 12398, 2127, 1141, 30691, 1765, 11798, 543, 2067, 3154, 1765, 732, 2693, 547, 18645, 269, 2913, 781, 4685, 883, 519, 4241, 2361, 540, 19386, 20569, 2439, 5331, 3054, 607, 513, 19792, 10478, 585, 6456, 16782, 269, 5502, 540, 3168, 585, 4503, 14446, 610, 12617, 14951, 1750, 7370, 267, 707, 5692, 568, 547, 3605, 11895, 23854, 4904, 609, 5277, 4154, 269, 1677, 9585, 713, 9028, 267, 596, 1590, 1831, 5432, 609, 1114, 2010, 540, 7725, 543, 1451, 827, 519, 2189, 2175, 2838, 585, 19386, 5250, 543, 1303, 1905, 618, 269, 1411, 786, 2263, 6676, 23033, 9582, 267, 24348, 30520, 267, 543, 1585, 29212, 6127, 602, 1832, 3282, 543, 3154, 689, 29400, 780, 5575, 267, 1577, 781, 2911, 827, 4224, 2010, 269, 1703, 616, 1614, 1292, 6688, 281, 5337, 15667, 267, 23009, 545, 267, 543, 24348, 269, 16384, 928, 748, 7725, 1106, 950, 29351, 3579, 338, 1524, 2901, 2630, 610, 1657, 2666, 269, 1452, 7725, 5749, 1405, 1360, 1271, 585, 19386, 2520, 5505, 1317, 789, 1810, 1405, 2270, 5214, 1570, 2877, 585, 3282, 5108, 269, 2201, 519, 824, 1688, 267, 23009, 545, 7725, 1376, 607, 2901, 5337, 15667, 610, 24348, 7725, 855, 10929, 2242, 1813, 547, 3002, 267, 2604, 267, 610, 26947, 3742, 12862, 269, 2755, 930, 23009, 545, 7725, 666, 5352, 1507, 5666, 540, 3282, 267, 621, 781, 5631, 519, 3791, 1826, 267, 24348, 7725, 267, 602, 19306, 938, 3007, 780, 306, 539, 21747, 7725, 1267, 689, 11761, 267, 6283, 267, 18254, 267, 543, 2781, 7695, 540, 7777, 5536, 936, 942, 269, 1879, 6263, 7103, 899, 13479, 543, 28506, 2023, 5884, 267, 741, 3788, 7017, 1524, 693, 519, 5377, 540, 4703, 540, 1216, 971, 607, 12647, 267, 15798, 267, 610, 12084, 269, 3683, 6634, 540, 1296, 267, 6106, 2390, 6106, 540, 891, 4666, 7103, 1628, 909, 267, 8108, 5394, 9696, 540, 5214, 11656, 16095, 7723, 267, 32549, 267, 610, 14680, 269, 901, 1184, 5036, 519, 3942, 585, 2870, 1761, 2959, 540, 19386, 780, 3086, 1934, 781, 1141, 1919, 1205, 4277, 256, 7201, 1808, 2837, 543, 2604, 2175, 267, 1978, 3114, 6547, 2049, 1369, 891, 3504, 7286, 12074, 267, 13321, 519, 5214, 2339, 883, 23128, 4094, 12544, 4396, 267, 14589, 344, 6219, 269, 2060, 2417, 19746, 267, 2799, 5210, 267, 543, 3606, 942, 267, 23128, 4094, 9397, 1524, 1256, 811, 267, 16089, 5277, 543, 31529, 30691, 9789, 2679, 7161, 540, 3282, 543, 3154, 2439, 4913, 267, 4466, 5318, 20115, 540, 3282, 3884, 1405, 1175, 827, 7114, 5078, 2707, 7725, 269, 1280, 19386, 547, 2445, 538, 20749, 14323, 9424, 267, 621, 2115, 547, 22109, 998, 15449, 762, 7725, 899, 5070, 18429, 610, 5762, 3293, 3327, 919, 2394, 621, 13341, 513, 15972, 2497, 269, 6056, 540, 713, 3460, 899, 11423, 909, 513, 17891, 609, 2011, 282, 952, 972, 781, 1100, 11064, 547, 3247, 519, 7269, 267, 519, 17891, 8952, 3395, 8273, 269, 6684, 267, 3282, 543, 3154, 3136, 3001, 16057, 2394, 789, 7237, 513, 13021, 267, 2356, 4646, 676, 6650, 1889, 762, 7725, 899, 695, 2297, 267, 18493, 2572, 267, 610, 6070, 6106, 269, 4495, 16290, 267, 21350, 10042, 256, 1284, 723, 6000, 513, 1761, 19386, 13111, 2439, 8170, 1576, 267, 29466, 891, 1016, 614, 10328, 13284, 1127, 3322, 10427, 2029, 543, 2553, 3564, 1018, 2038, 17701, 1185, 1569, 547, 269, 7073, 19386, 2520, 5505, 7048, 8185, 593, 20381, 12220, 267, 1134, 20743, 267, 4295, 5439, 267, 543, 2780, 3631, 547, 21264, 519, 1950, 11015, 4773, 15720, 9944, 519, 3047, 781, 12933, 269, 1635, 10128, 1239, 689, 2789, 10459, 267, 1519, 7293, 20569, 267, 14404, 19973, 267, 11159, 1108, 267, 543, 2520, 2684, 12695, 267, 3744, 4062, 1927, 6946, 2984, 24223, 519, 5169, 267, 9194, 267, 13250, 267, 543, 11091, 540, 3407, 8652, 21666, 2200, 780, 1103, 3932, 267, 19386, 20569, 568, 606, 17938, 1791, 908, 11100, 540, 2257, 267, 3408, 267, 543, 6602, 269, 5664, 1153, 1053, 5461, 538, 6061, 13655, 267, 26500, 11580, 267, 610, 1818, 1713, 7418, 547, 2486, 1522, 2015, 13197, 11678, 538, 713, 6422, 2361, 269, 5808, 6487, 286, 9320, 14693, 9358, 1223, 948, 1379, 519, 2104, 676, 4466, 1007, 14425, 540, 3109, 4154, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 289, 4696, 294, 2207, 267, 13641, 1716, 517, 28788, 2284, 267, 7128, 2706, 23734, 550, 543, 2229, 4013, 269, 18004, 267, 11785, 267, 7136, 1421, 5239, 476, 2764, 267, 476, 8146, 280, 282, 5067, 540, 3627, 15506, 517, 14068, 3455, 543, 8861, 9796, 928, 1975, 4048, 826, 269, 4065, 281, 29859, 9142, 267, 29859, 267, 7136, 269, 6406, 2782, 3028, 281, 14520, 628, 12590, 32691, 630, 821, 540, 519, 1101, 5742, 8136, 15321, 4559, 264, 2663, 26062, 29350, 628, 12590, 32691, 267, 609, 799, 646, 3357, 547, 1715, 20252, 607, 9114, 23133, 282, 21821, 539, 538, 476, 5908, 274, 538, 519, 3689, 17039, 630, 4462, 542, 264, 595, 10052, 787, 543, 26017, 7577, 667, 282, 9782, 547, 7584, 540, 9114, 23133, 3935, 601, 543, 729, 1786, 23439, 1540, 3935, 601, 538, 476, 5908, 276, 585, 968, 17304, 603, 995, 543, 5789, 3218, 1190, 3028, 892, 538, 519, 16353, 22411, 282, 20754, 538, 513, 1236, 3305, 880, 693, 8771, 5211, 267, 5487, 1421, 476, 5908, 275, 269, 2991, 2112, 267, 6039, 607, 804, 17064, 538, 19549, 10588, 5589, 7451, 7040, 538, 1715, 20252, 282, 9411, 519, 27062, 17318, 267, 1309, 269, 476, 5908, 279, 267, 12912, 2706, 23734, 550, 267, 2904, 476, 275, 267, 476, 6942, 271, 282, 12517, 20754, 5181, 476, 1691, 267, 476, 6942, 275, 267, 693, 519, 11135, 540, 23068, 9255, 267, 759, 11220, 689, 3196, 267, 476, 6942, 276, 269, 4419, 539, 607, 1533, 3454, 21689, 538, 519, 19549, 10588, 540, 1715, 20252, 267, 1309, 269, 476, 6942, 276, 268, 6942, 279, 282, 2022, 332, 4292, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 30821, 15950, 30578, 257, 607, 851, 540, 834, 31900, 1299, 22957, 1315, 8891, 15950, 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, 6092, 5149, 281, 4197, 4065, 3687, 31559, 543, 3493, 25902, 1107, 10312, 593, 16199, 531, 27872, 692, 8702, 547, 713, 3078, 1576, 1770, 1141, 649, 786, 1451, 827, 4065, 3687, 31559, 543, 3493, 25902, 676, 3695, 513, 2027, 1445, 1858, 281, 16199, 531, 13995, 256, 5620, 596, 2479, 4862, 540, 10300, 531, 2472, 1354, 286, 1358, 616, 3688, 602, 723, 1044, 14468, 607, 7989, 24777, 896, 9099, 1876, 269, 901, 2882, 1426, 267, 30143, 267, 31534, 267, 543, 1256, 2883, 2533, 256, 1924, 875, 1281, 513, 2197, 2327, 602, 891, 2472, 2743, 7453, 4441, 286, 2334, 781, 1141, 4065, 3687, 31559, 543, 3493, 25902, 2097, 883, 1404, 269, 2913, 781, 4685, 1318, 538, 2439, 5331, 1373, 513, 21717, 899, 707, 2383, 945, 14560, 10707, 519, 1158, 269, 1411, 1616, 547, 2119, 2199, 3536, 543, 2263, 1114, 4529, 1247, 1869, 1739, 707, 3909, 4978, 269, 1215, 666, 596, 3972, 1018, 596, 3548, 610, 946, 568, 5963, 10300, 531, 286, 4270, 267, 972, 616, 3906, 5001, 3743, 585, 10992, 543, 5909, 4328, 891, 2472, 865, 1004, 899, 596, 666, 2972, 873, 5855, 6954, 256, 1452, 2516, 1419, 960, 5702, 609, 4065, 3687, 31559, 543, 3493, 25902, 1317, 789, 991, 8036, 8524, 832, 543, 4966, 547, 6218, 2472, 5265, 780, 3080, 971, 3919, 568, 29273, 298, 8379, 630, 1492, 14570, 1014, 4972, 540, 9099, 4886, 1070, 799, 5063, 5189, 513, 1007, 1505, 1572, 519, 674, 28999, 327, 5689, 714, 328, 1935, 269, 898, 2337, 2638, 952, 3157, 543, 2326, 1031, 538, 1818, 2472, 5447, 609, 9099, 10752, 269, 1635, 3257, 713, 267, 789, 3895, 2648, 543, 23502, 1851, 12356, 1472, 519, 8608, 1210, 1945, 1634, 607, 519, 31670, 3901, 534, 561, 559, 1325, 3133, 1523, 269, 27355, 1405, 621, 5863, 875, 2069, 4249, 513, 1909, 1934, 2496, 3086, 1577, 781, 2911, 10509, 256, 9894, 596, 917, 602, 2576, 2813, 519, 1158, 781, 1101, 5857, 11672, 10687, 680, 5050, 1357, 11422, 286, 962, 1575, 256, 1323, 4065, 12080, 1522, 12840, 609, 9367, 547, 1711, 2645, 602, 948, 12356, 2226, 741, 5132, 2228, 1932, 269, 15346, 267, 26001, 2496, 4131, 781, 1205, 4052, 1631, 269, 5994, 2324, 585, 13660, 2684, 12609, 267, 513, 2754, 1759, 538, 17111, 12544, 3056, 6345, 538, 10300, 531, 31534, 269, 2659, 2816, 1131, 4125, 4180, 6527, 1246, 9099, 4808, 1282, 2504, 269, 16319, 4101, 855, 14785, 267, 1318, 286, 1656, 7058, 1018, 286, 1677, 14133, 538, 713, 2361, 267, 4974, 2182, 543, 11543, 1702, 538, 2257, 267, 2029, 267, 543, 4984, 1131, 581, 1898, 2439, 15919, 267, 1004, 8044, 936, 2436, 649, 2731, 991, 10300, 531, 4152, 2094, 1082, 3494, 922, 3483, 568, 1152, 547, 13182, 952, 1945, 568, 10300, 531, 610, 711, 269, 1717, 267, 1705, 596, 917, 602, 4255, 2965, 1489, 519, 10300, 531, 17258, 540, 513, 1587, 781, 5137, 1184, 286, 6056, 827, 621, 281, 1403, 596, 941, 2469, 547, 4444, 513, 9067, 22496, 13042, 1412, 15595, 531, 10086, 9327, 1405, 596, 1745, 1732, 6616, 602, 1169, 12146, 543, 1900, 3144, 547, 3132, 621, 729, 13761, 8499, 286, 2986, 1576, 2439, 7661, 267, 1577, 781, 1413, 1394, 693, 2622, 16199, 531, 10432, 476, 1001, 279, 269, 4438, 2621, 899, 891, 267, 13222, 689, 1585, 2477, 5531, 547, 1865, 3584, 1644, 547, 10300, 531, 6080, 269, 4065, 3687, 31559, 543, 3493, 25902, 8362, 7119, 538, 4687, 1655, 2853, 267, 4259, 2518, 4441, 267, 543, 5807, 3486, 9316, 269, 3807, 4952, 5870, 1004, 689, 3309, 10080, 7234, 2081, 547, 2087, 938, 1620, 540, 5771, 543, 922, 1764, 593, 4948, 1272, 2439, 3383, 267, 1250, 8284, 8049, 8186, 267, 3884, 1405, 1565, 827, 4065, 3687, 31559, 543, 3493 ]

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

[ 3873, 30389, 1062, 2241, 2165, 7149, 693, 602, 19671, 543, 1281, 283, 1962, 29451, 692, 2254, 946, 1776, 5102, 2917, 269, 283, 1962, 29451, 692, 2252, 519, 4452, 26693, 476, 1911, 11899, 267, 513, 3196, 540, 476, 1015, 11899, 1131, 723, 547, 283, 1962, 29451, 692, 2041, 4294, 693, 519, 688, 30389, 1899, 547, 1489, 519, 4452, 269, 31745, 528, 283, 1962, 29451, 692, 6262, 264, 1131, 581, 16271, 547, 513, 3196, 540, 476, 2568, 11899, 543, 19671, 630, 323, 264, 283, 1962, 29451, 692, 30524, 581, 16271, 547, 513, 3196, 540, 476, 2004, 11899, 269, 283, 1962, 29451, 692, 2252, 596, 1031, 513, 2582, 19671, 1448, 676, 11836, 630, 322, 264, 543, 630, 323, 264, 519, 283, 1962, 29451, 692, 338, 17532, 19671, 1131, 581, 16271, 547, 513, 3196, 540, 476, 8099, 11899, 269, 283, 1962, 29451, 692, 10673, 1406, 7340, 602, 2899, 519, 688, 30389, 5106, 862, 1878, 283, 1962, 29451, 692, 1492, 4229, 786, 2333, 1813, 547, 3773, 11508, 269, 283, 1962, 29451, 692, 1692, 547, 5173, 519, 2999, 17641, 285, 9288, 22817, 9572, 17641, 285, 2999, 17641, 285, 3849, 2779, 720, 9572, 17641, 285, 910, 476, 1321, 910, 1635, 7033, 16737, 1299, 631, 1157, 4591, 2023, 283, 1962, 29451, 692, 1993, 688, 30389, 1949, 267, 476, 273, 526, 7160, 269, 283, 1962, 29451, 692, 12552, 547, 32149, 774, 11448, 692, 8201, 476, 1321, 10790, 815, 476, 272, 281, 272, 283, 1962, 29451, 692, 8201, 476, 1724, 10790, 815, 476, 273, 281, 272, 283, 1962, 29451, 692, 8201, 476, 1691, 10790, 815, 476, 274, 281, 272, 283, 1962, 29451, 692, 8201, 476, 1428, 10790, 815, 476, 275, 281, 272, 283, 1962, 29451, 692, 8201, 476, 1626, 10790, 815, 476, 277, 281, 272, 283, 1962, 29451, 692, 8201, 476, 1704, 10790, 815, 476, 280, 281, 272, 283, 1962, 29451, 692, 8201, 476, 1240, 10790, 815, 476, 1015, 281, 272, 283, 1962, 29451, 692, 8201, 476, 866, 10790, 815, 476, 1428, 281, 272, 283, 1962, 29451, 692, 8201, 476, 736, 10790, 815, 476, 274, 281, 272, 283, 1962, 29451, 692, 8201, 476, 2641, 10790, 815, 476, 275, 281, 272, 283, 1962, 29451, 692, 8201, 476, 2420, 10790, 815, 476, 276, 281, 272, 283, 1962, 29451, 692, 1692, 547, 5173, 519, 2999, 17641, 285, 9288, 22817, 9572, 17641, 285, 2999, 17641, 285, 3849, 2779, 720, 9572, 17641, 285, 910, 476, 1724, 910, 1635, 7033, 16737, 1299, 631, 1157, 4591, 2023, 283, 1962, 29451, 692, 1993, 688, 30389, 1949, 267, 476, 273, 526, 7160, 269, 283, 1962, 29451, 692, 12552, 547, 32149, 774, 11448, 0, 258, 17438, 5999, 692, 272, 269, 5565, 18062, 616, 18202, 14477, 269, 4855, 519, 5506, 547, 1205, 2040, 568, 476, 1015, 563, 273, 270, 276, 454, 1691, 454, 273, 270, 280, 454, 272, 270, 1321, 454, 276, 270, 279, 454, 29682, 667, 454, 26473, 1600, 815, 630, 277, 2073, 476, 275, 3738, 2073, 630, 275, 2073, 476, 277, 264, 2073, 630, 476, 276, 267, 476, 276, 264, 815, 476, 274, 454, 20135, 815, 476, 277, 2608, 476, 277, 815, 476, 3607, 454, 22238, 1464, 815, 476, 274, 270, 3607, 815, 476, 272, 270, 1321, 692, 273, 269, 5565, 546, 1182, 616, 18202, 856, 1927, 267, 1287, 1018, 568, 519, 5506, 540, 3478, 513, 1297, 540, 835, 18062, 3152, 982, 519, 1297, 540, 824, 18062, 15017, 273, 270, 274, 454, 272, 270, 277, 454, 274, 270, 279, 454, 272, 270, 279, 454, 276, 270, 277, 454, 29682, 661, 454, 15239, 1922, 27544, 2621, 815, 630, 272, 2073, 476, 272, 264, 2073, 630, 273, 2073, 476, 273, 264, 2073, 630, 274, 2073, 476, 274, 264, 2073, 630, 275, 2073, 476, 275, 264, 2073, 630, 276, 2073, 476, 276, 264, 2073, 630, 277, 267, 277, 264, 815, 476, 277, 454, 20135, 815, 476, 277, 2608, 476, 277, 815, 476, 3607, 454, 22238, 1464, 540, 1875, 1922, 27544, 2621, 815, 476, 277, 270, 3607, 815, 476, 272, 270, 277, 454, 22238, 1464, 540, 15028, 2621, 815, 476, 272, 1107, 476, 272, 270, 277, 815, 476, 276, 270, 277, 692, 274, 269, 1403, 476, 273, 6486, 568, 6537, 693, 14477, 689, 476, 7367, 6486, 267, 1287, 1265, 519, 5506, 540, 3478, 1312, 616, 2699, 6486, 563, 1724, 270, 2764, 454, 2918, 270, 10755, 454, 2764, 270, 10482, 454, 1839, 270, 9083, 454, 333, 821, 540, 891, 454, 29682, 667, 454, 26473, 1600, 815, 476, 2918, 290, 273, 815, 476, 2918, 2608, 476, 1839, 270, 273, 815, 476, 1724, 2608, 476, 1839, 454, 20135, 815, 476, 7367, 290, 273, 815, 476, 7367, 2608, 476, 7906, 1315, 476, 273, 815, 476, 2918, 2608, 476, 7906, 454, 22238, 1464, 815, 476, 1724, 2608, 476, 1839, 1315, 476, 2918, 2608, 476, 7906, 815, 476, 1839, 1315, 9083, 692, 275, 269, 769, 875, 1082, 2081, 267, 649, 666, 6582, 519, 5022, 540, 519, 2262, 2048, 299, 20846, 685, 15017, 10019, 454, 2764, 454, 9610, 454, 8182, 454, 6344, 454, 29682, 661, 454, 310, 904, 815, 476, 276, 256, 815, 476, 276, 2608, 476, 275, 2608, 476, 274, 2608, 476, 273, 2608, 476, 272, 815, 476, 6344, 692, 276, 269, 769, 875, 1082, 1114, 2081, 267, 649, 666, 6582, 519, 5022, 540, 519, 2262, 2048, 19616, 27516, 685, 2073, 865, 602, 519, 1647, 2990, 568, 2141, 13026, 676, 2048, 306, 685, 15017, 1839, 454, 2190, 454, 4366, 454, 5655, 454, 6924, 454, 29682, 645, 454, 310, 904, 815, 476, 275, 256, 815, 476, 275, 2608, 476, 274, 2608, 476, 273, 2608, 476, 272, 815, 476, 2190, 692, 277, 269, 1215, 1082, 2081, 476, 277, 2835, 666, 581, 5697, 689, 476, 1691, 1114, 2835, 2073, 952, 1079, 1880, 2835, 616, 2141, 5697, 15017, 275, 4817, 454, 21878, 454, 23211, 454, 29575, 454, 26392, 454, 29682, 589, 454, 13510, 9005, 3615, 815, 476, 1691, 1107, 476, 273, 815, 476, 1321, 454, 310, 904, 815, 476, 1321, 290, 275, 815, 476, 1321, 2608, 476, 1556, 2608, 476, 1015, 2608, 476, 280, 270, 275, 2608, 476, 274, 2608, 476, 273, 2608, 476, 272, 815, 476, 275, 4817, 692, 278, 269, 589, 9126, 3568, 476, 273, 3043, 11084, 267, 476, 274, 11909, 11084, 543, 476, 273, 3109, 11084, 269, 476, 273, 11084, 616, 6537, 14477, 269, 1548, 568, 519, 5506, 602, 972, 568, 1100, 3109, 11084, 15017, 279, 270, 2641, 454, 1015, 270, 2641, 454, 272, 270, 279, 454, 274, 270, 276, 454, 277, 270, 1556, 454, 29682, 645, 454, 26473, 1600, 815, 476, 276, 290, 273, 815, 476, 276, 265, 275, 270, 273, 815, 476, 1015, 454, 20135, 815, 476, 278, 290, 273, 815, 476, 278, 2608, 476, 277, 1315, 476, 273, 815, 476, 2641, 454, 22238, 1464, 815, 476, 1015, 270, 2641, 692, 279, 269, 1879, 1079, 11113, 616, 19184, 539, 8195, 267, 1287, 1265, 519, 5506, 540, 3478, 693, 2547, 835, 2766, 563, 276, 454, 274, 454, 274, 270, 275, 454, 272, 270, 275, 454, 273, 270, 276, 454, 29682, 595, 454, 26473, 1600, 815, 630, 476, 272, 2212, 2073, 476, 272, 2766, 3738, 2073, 630, 476, 273, 21217, 264, 815, 630, 273, 290, 272, 264, 1341, 630, 273, 290, 273, 264, 815, 476, 273, 1341, 476, 272, 815, 476, 274, 454, 20135, 815, 476, 273, 317, 273, 815, 476, 275, 454, 22238, 1464, 815, 476, 274, 270, 275, 692, 280, 269, 589, 9126, 3568, 476, 275, 2699, 11084, 267, 476, 273, 4544, 11084, 543, 476, 273, 3039, 11084, 1547, 1403, 1079, 11084, 616, 6537, 14477, 689, 519, 9126, 2073, 1287, 1265, 519, 5506, 540, 3478, 1312, 11084, 540, 1114, 2681, 563, 273, 270, 278, 454, 276, 270, 279, 454, 276, 270, 278, 454, 275, 454, 279, 454, 29682, 595, 454, 22238, 1464, 815, 476, 275, 290, 272, 2608, 476, 273, 290, 272, 1315, 476, 279, 290, 273, 1341, 476, 275, 290, 272, 2608, 476, 273, 290, 272, 1315, 476, 279, 290, 273, 1341, 476, 273, 290, 272, 2608, 476, 273, 290, 272, 1315, 476, 279, 290, 273, 454, 263, 275, 2608, 476, 273, 2608, 476, 273, 8358, 476, 279, 2608, 476, 278, 1341, 630, 275, 2608, 476, 273, 2608, 476, 273, 8358, 476, 279, 2608, 476, 278, 1341, 630, 273, 2608, 476, 273, 2608, 476, 273, 264, 1315, 476, 279, 2608, 476, 278, 815, 476, 273, 270, 278, 1341, 476, 273, 270, 278, 1341, 476, 272, 270, 278, 815, 476, 276, 270, 278, 692, 1015, 269, 589, 1895, 540, 1053, 9361, 1472, 513, 14328, 3349, 267, 1265, 5506, 540, 476, 273, 9138, 1053, 9361, 1927, 563, 274, 270, 279, 454, 273, 270, 278, 454, 279, 270, 278, 454, 274, 270, 279, 454, 277, 270, 1556, 454, 29682, 645, 454, 293, 27544, 2665, 815, 476, 277, 256, 2608, 476, 273, 2336, 20135, 2665, 815, 476, 278, 2336, 22238, 1464, 815, 476, 277, 256, 2608, 476, 273, 256, 1315, 278, 256, 815, 476, 273, 270, 278, 692, 2971, 26592, 589, 696, 3363, 281, 17438, 5999, 1107, 5590, 476, 2537, 692, 10521, 18062, 616, 18202, 14477, 269, 4855, 519, 5506, 547, 1205, 2040, 568, 476, 1015, 269, 273, 270, 276, 1691, 273, 270, 11011, 270, 10219, 270, 279, 29682, 667, 22490, 815, 630, 277, 2073, 476, 275, 3738, 27250, 2971, 26592, 589, 696, 3363, 281, 17438, 5999, 1107, 5590, 476, 2420, 692, 10521, 18062, 616, 18202, 14477, 269, 4855, 519, 5506, 547, 1205, 2040, 568, 476, 1015, 269, 273, 270, 276, 1691, 273, 270, 11011, 270, 10219, 270, 279, 29682, 667, 22490, 815, 630, 277, 2073, 476, 275, 3738, 27250, 2971, 26592, 589, 696, 3363, 281, 17438, 5999, 1107, 5590, 476, 2641, 692, 2252, 11113, 616, 19184, 539, 267, 1287, 1265, 519, 5506, 540, 3478, 693, 2547, 476, 274, 21217, 593, 519, 3068, 269, 279, 270, 280, 6078, 270, 6078, 270, 2420, 270, 276, 29682, 667, 22490, 815, 27250, 2971, 26592, 589, 696, 3363, 281, 17438, 5999, 1107, 5590, 476, 736, 692, 288, 9126, 3568, 476, 279, 3039, 11084, 543, 476, 1321, 4544, 11084, 269, 1403, 513, 3440, 568, 6537, 14477, 267, 1287, 1265, 519, 5506, 27250, 2971, 26592, 589, 696, 3363, 281, 17438, 5999, 1107, 5590, 476, 866, 692, 10521, 546, 1182, 616, 18202, 1524, 8195, 267, 1287, 1265, 519, 5506, 540, 3478, 2040, 540, 2164, 593, 1312, 546, 1182, 811, 982, 27250, 2971, 26592, 589, 696, 3363, 281, 17438, 5999, 1107, 5590, 476, 1240, 692, 1103, 875, 1082, 1114, 2081, 519, 4484, 540, 1412, 300, 3036, 289, 2839, 262, 666, 581, 11231, 7790, 278, 3199, 24798, 30663, 27151, 333, 821, 540, 891, 29682, 645, 2838, 1100, 269, 540, 2081, 284, 277, 256, 284, 24798, 27250, 2971, 26592, 589, 696, 3363, 281, 17438, 5999, 1107, 5590, 476, 1704, 692, 1103, 513, 19068, 267, 11004, 616, 476, 277, 13212, 267, 274, 27335, 2073, 476, 276, 18683, 543, 476, 273, 1368, 6072, 28560, 1614, 3688, 616, 13603, 693, 4351, 267, 6343, 568, 27250, 2971, 26592, 589, 696, 3363, 281, 17438, 5999, 1107, 5590, 476, 1626, 692, 288, 9126, 3568, 476, 274, 6299, 344, 11084, 543, 476, 279, 4544, 11084, 543, 1776, 9126, 3568, 476, 276, 6299, 344, 11084, 543, 476, 278, 4544, 27250, 2971, 26592, 589, 696, 3363, 281, 17438, 5999, 1107, 5590, 476, 1428, 692, 288, 7047, 517, 3568, 476, 2641, 11084, 22921, 476, 272, 547, 476, 2641, 269, 589, 3440, 568, 6537, 543, 1287, 1776, 3440, 568, 6537, 1510, 27250, 2971, 26592, 589, 696, 3363, 281, 17438, 5999, 1107, 5590, 476, 1691, 692, 2467, 616, 476, 276, 8695, 543, 476, 274, 6690, 269, 589, 1895, 540, 476, 274, 2818, 568, 547, 581, 1500, 269, 4855, 519, 5506, 602, 27250, 2971, 26592, 589, 696, 3363, 281, 17438, 5999, 1107, 5590, 476, 1724, 692, 288, 9126, 3568, 476, 276, 6299, 344, 11084, 543, 476, 278, 3109, 11084, 269, 5565, 11084, 616, 6537, 693, 4351, 1510, 10682, 267, 543, 1287, 27250, 2971, 26592, 589, 696, 3363, 281, 17438, 5999, 1107, 5590, 476, 1321, 692, 10521, 2828, 589, 543, 645, 7902, 585, 606, 5542, 1547, 2913, 661, 272, 581, 519, 2680, 602, 589, 568, 5697, 543, 27250, 2971, 26592, 589, 696, 3363, 281, 17438, 5999, 1107, 5590, 476, 1556, 692, 1103, 875, 1082, 2081, 666, 476, 274, 24712, 543, 476, 275, 32482, 2354, 476, 273, 795, 11047, 1149, 666, 581, 11231, 538, 513, 6095, 1633, 971, 602, 27250, 2971, 26592, 589, 696, 3363, 281, 17438, 5999, 1107, 5590, 476, 1015, 692, 288, 9126, 3568, 476, 1321, 3043, 543, 476, 1240, 3109, 11084, 269, 5565, 11084, 616, 6537, 538, 19588, 1510, 10682, 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 ]

[ 896, 323, 9233, 3094, 476, 2004, 269, 275, 260, 540, 942, 269, 4935, 29202, 616, 711, 513, 1434, 914, 269, 1452, 1239, 5815, 602, 519, 1899, 593, 29202, 568, 1102, 3836, 547, 1491, 5413, 540, 519, 9186, 540, 914, 339, 832, 4724, 29202, 269, 1280, 1383, 267, 950, 4259, 519, 1899, 585, 8111, 30558, 2473, 299, 296, 519, 1433, 20447, 949, 723, 2219, 519, 2051, 1206, 941, 1152, 476, 277, 2798, 1732, 982, 519, 645, 8986, 269, 4595, 914, 339, 832, 616, 21678, 4724, 519, 5172, 267, 519, 1433, 20447, 1522, 1305, 519, 1899, 693, 2051, 1206, 2443, 278, 269, 4595, 519, 3020, 3510, 568, 602, 519, 2051, 1206, 616, 476, 277, 2798, 1732, 982, 519, 645, 8986, 267, 513, 914, 593, 2051, 1206, 2443, 278, 814, 1447, 982, 513, 476, 2004, 260, 4960, 540, 10888, 269, 5221, 914, 339, 832, 616, 21678, 4724, 29202, 267, 538, 782, 10171, 6266, 540, 2724, 786, 1869, 2097, 538, 593, 519, 2051, 1206, 269, 4595, 519, 3020, 1448, 3262, 692, 268, 26783, 7042, 2162, 11872, 585, 713, 2985, 692, 2252, 596, 616, 3843, 547, 2824, 1257, 547, 1711, 8711, 610, 14327, 267, 3314, 602, 596, 1590, 1631, 4945, 610, 7148, 593, 519, 1101, 2262, 267, 543, 1287, 4945, 610, 7148, 593, 519, 2063, 2262, 563, 3080, 4090, 4429, 9377, 5435, 1788, 568, 1631, 707, 3742, 1788, 563, 19061, 3688, 454, 24687, 454, 29241, 713, 2985, 692, 2971, 24764, 2985, 692, 306, 1399, 548, 454, 290, 14591, 616, 2139, 1152, 547, 938, 3742, 2818, 563, 24246, 8216, 1569, 547, 13712, 3817, 610, 15102, 538, 17090, 476, 279, 267, 17090, 476, 278, 267, 14905, 543, 9628, 11239, 6163, 780, 27887, 514, 1817, 333, 267, 476, 1960, 273, 267, 533, 269, 476, 1839, 2020, 27887, 514, 1817, 333, 476, 1839, 2020, 27887, 514, 1817, 333, 476, 1839, 2020, 272, 269, 10753, 529, 808, 269, 661, 514, 1817, 333, 267, 14062, 12493, 267, 519, 2107, 1807, 281, 6755, 564, 7992, 519, 12493, 26499, 630, 26156, 1636, 267, 11632, 281, 5682, 6229, 4964, 267, 476, 1960, 273, 1070, 476, 1839, 267, 5291, 2517, 4178, 269, 26810, 807, 2593, 270, 1348, 270, 28638, 4572, 7176, 780, 9616, 281, 3119, 2959, 723, 5594, 1114, 4170, 585, 11239, 269, 7490, 1294, 891, 4808, 585, 811, 1344, 780, 2971, 24764, 2985, 692, 9349, 5658, 713, 2985, 454, 13043, 2280, 923, 281, 1215, 32573, 6840, 267, 2494, 6162, 267, 543, 11846, 2037, 28387, 328, 6814, 2422, 9119, 538, 28473, 267, 31336, 4252, 267, 543, 25624, 454, 8368, 540, 9115, 692, 306, 9116, 902, 692, 2971, 23994, 692, 13911, 2183, 454, 17806, 2450, 1763, 564, 7348, 7154, 454, 15507, 1369, 692, 16100, 909, 692, 2971, 6733, 909, 513, 2262, 692, 1892, 9218, 454, 1892, 634, 28445, 454, 8923, 10505, 513, 2262, 610, 8360, 1657, 563, 19530, 713, 2985, 692, 2971, 7179, 713, 2985, 692, 3963, 666, 1405, 594, 1820, 811, 982, 835, 2985, 693, 513, 942, 2496, 20055, 454, 17359, 5496, 454, 2005, 2114, 10710, 689, 713, 1433, 454, 1892, 3883, 12201, 454, 1892, 4400, 7547, 1299, 11872, 454, 1892, 13022, 725, 454, 270, 476, 3374, 279, 692, 1012, 2372, 652, 807, 5467, 948, 692, 2162, 1215, 547, 5031, 543, 13712, 1808, 15102, 692, 272, 269, 8437, 610, 7148, 519, 1101, 2262, 596, 1616, 547, 2824, 563, 273, 269, 8437, 610, 7148, 519, 2063, 2262, 596, 1616, 547, 2824, 267, 543, 596, 3580, 1294, 3388, 538, 1063, 1205, 5697, 563, 274, 269, 1411, 3580, 1287, 1205, 513, 10624, 540, 3681, 899, 2870, 513, 5031, 610, 513, 11239, 689, 602, 8574, 540, 1257, 780, 1012, 24764, 8574, 692, 306, 1399, 548, 454, 290, 14591, 616, 2139, 1152, 547, 938, 3742, 2818, 563, 24246, 8216, 1569, 547, 13712, 3817, 610, 15102, 538, 17090, 476, 279, 267, 17090, 476, 278, 267, 14905, 543, 9628, 11239, 6163, 780, 257, 21545, 2001, 532, 5128, 607, 606, 9237, 267, 8723, 1268, 5280, 12493, 2697, 609, 1010, 9458, 1701, 630, 292, 514, 1817, 333, 267, 476, 1960, 273, 267, 533, 269, 476, 1839, 6393, 257, 21545, 2001, 532, 5128, 607, 606, 9237, 267, 8723, 1268, 5280, 12493, 2697, 609, 1010, 9458, 1701, 630, 292, 514, 1817, 333, 476, 1839, 2020, 257, 21545, 2001, 532, 5128, 607, 606, 9237, 267, 8723, 1268, 5280, 12493, 2697, 609, 1010, 9458, 1701, 630, 292, 514, 1817, 333, 476, 1839, 2020, 257, 21545, 2001, 532, 5128, 607, 606, 9237, 267, 8723, 1268, 5280, 12493, 2697, 609, 1010, 9458, 1701, 272, 692, 272, 269, 10753, 529, 808, 269, 661, 514, 1817, 333, 267, 14062, 12493, 267, 519, 2107, 1807, 281, 6755, 564, 7992, 519, 12493, 26499, 630, 26156, 1636, 267, 11632, 281, 5682, 6229, 4964, 267, 476, 1960, 273, 1070, 476, 1839, 267, 5291, 2517, 4178, 269, 26810, 807, 2593, 270, 1348, 270, 28638, 4572, 7176, 780, 1012, 8729, 585, 3843, 2372, 652, 807, 2439, 8923, 3136, 3843, 856, 938, 1382, 2645, 267, 855, 5225, 4063, 267, 2407, 10342, 568, 2139, 1152, 547, 938, 3742, 2818, 780, 7312, 960, 786, 581, 4503, 2899, 596, 4734, 713, 5680, 2985, 780, 24246, 8216, 1569, 547, 4688, 707, 960, 780, 2704, 2819, 513, 4759, 286, 8298, 538, 1631, 780, 15507, 676, 2483, 17004, 13718, 2162, 744, 3591, 2439, 2304, 7164, 5470, 814, 7018, 269, 7490, 4945, 519, 7735, 2630, 547, 882, 1933, 519, 2985, 269, 1403, 519, 1966, 26251, 267, 5225, 2119, 1586, 538, 513, 2370, 1247, 269, 0, 258, 7726, 1948, 539, 6507, 324, 692, 14257, 476, 1724, 267, 476, 1001, 278, 692, 259, 346, 290, 13925, 272, 348, 2715, 295, 13925, 273, 348, 2715, 302, 13925, 272, 10592, 2971, 19247, 1384, 4131, 781, 2119, 547, 960, 713, 998, 780, 7445, 3667, 10233, 15830, 561, 579, 552, 7346, 3667, 346, 272, 264, 27539, 476, 1911, 575, 3732, 543, 9062, 676, 21159, 547, 1265, 2527, 540, 1142, 3693, 32556, 259, 290, 815, 476, 4375, 269, 4200, 575, 14204, 259, 295, 815, 476, 277, 269, 8064, 575, 14204, 259, 302, 815, 476, 7871, 269, 2764, 575, 6911, 7445, 3667, 10233, 15830, 561, 579, 552, 7346, 3667, 346, 273, 264, 12648, 2527, 540, 1142, 3693, 543, 6460, 547, 18253, 1210, 24855, 2527, 689, 13350, 3349, 32556, 7445, 3667, 346, 27793, 257, 15010, 263, 4375, 269, 4200, 326, 19422, 272, 31618, 272, 834, 28485, 257, 19422, 1321, 326, 264, 815, 476, 274, 269, 3451, 257, 12387, 595, 10592, 7445, 3667, 346, 22134, 4088, 257, 15010, 263, 277, 269, 8064, 326, 19422, 272, 31618, 272, 834, 28485, 257, 19422, 272, 269, 876, 326, 264, 815, 476, 277, 269, 8064, 257, 12387, 670, 10592, 7445, 3667, 346, 23682, 4723, 257, 15010, 263, 7871, 269, 2764, 326, 19422, 272, 31618, 272, 834, 28485, 257, 19422, 1626, 326, 264, 815, 476, 274, 269, 3451, 257, 12387, 744, 10592, 7445, 3667, 10233, 15830, 561, 579, 552, 7346, 3667, 346, 274, 264, 19667, 728, 519, 18253, 676, 519, 10545, 3727, 1297, 540, 519, 1614, 2418, 32556, 7445, 3667, 346, 27793, 348, 1422, 1729, 1422, 2765, 346, 274, 269, 3451, 2410, 274, 269, 3451, 348, 815, 476, 272, 14204, 7445, 3667, 346, 22134, 4088, 348, 1422, 1729, 1422, 2765, 346, 277, 269, 8064, 2410, 274, 269, 3451, 348, 815, 476, 273, 269, 6734, 1422, 13627, 476, 273, 14204, 7445, 3667, 346, 23682, 4723, 348, 1422, 1729, 1422, 2765, 346, 274, 269, 3451, 2410, 274, 269, 3451, 348, 815, 476, 272, 6911, 7445, 3667, 10233, 15830, 561, 579, 552, 7346, 3667, 346, 275, 264, 2237, 856, 519, 3693, 609, 741, 15197, 2898, 1297, 3727, 12753, 32556, 259, 346, 290, 13925, 272, 348, 2715, 295, 13925, 273, 348, 2715, 302, 13925, 272, 10592, 12585, 281, 259, 346, 290, 13925, 272, 348, 2715, 295, 13925, 273, 348, 2715, 302, 13925, 272, 4151, 0, 258, 27387, 281, 10321, 286, 513, 17070, 476, 1911, 343, 3152, 982, 513, 1532, 692, 272, 269, 12361, 10321, 286, 513, 17070, 476, 1911, 343, 3152, 982, 513, 1532, 692, 10521, 10321, 589, 543, 645, 723, 10502, 3160, 3172, 6421, 269, 769, 1931, 585, 519, 9588, 540, 589, 1341, 645, 547, 581, 476, 1911, 2053, 3677, 982, 519, 9588, 540, 589, 910, 645, 267, 1018, 1590, 581, 519, 5086, 1063, 873, 2496, 296, 1810, 1405, 1256, 917, 1141, 547, 1376, 269, 594, 3801, 547, 4194, 713, 11617, 607, 1022, 948, 594, 1413, 909, 2228, 2882, 12596, 971, 607, 519, 834, 25346, 257, 4542, 799, 649, 723, 2943, 547, 1865, 538, 1362, 610, 1256, 20726, 2509, 269, 7102, 948, 2496, 273, 269, 20323, 17397, 676, 519, 4777, 613, 454, 10521, 10321, 589, 543, 645, 723, 10502, 3160, 3172, 6421, 269, 769, 1931, 585, 519, 9588, 540, 589, 1341, 645, 547, 581, 476, 1911, 2053, 3677, 982, 519, 9588, 540, 589, 910, 645, 267, 1018, 1590, 581, 519, 5086, 1063, 873, 2496, 296, 1810, 1405, 1256, 917, 1141, 547, 1376, 269, 594, 3801, 547, 4194, 713, 11617, 607, 1022, 948, 594, 1413, 909, 2228, 2882, 12596, 971, 607, 519, 834, 25346, 257, 4542, 799, 649, 723, 2943, 547, 1865, 538, 1362, 610, 1256, 20726, 2509, 269, 7102, 948, 888, 15916, 10484, 1492, 2040, 540, 1079, 10321, 666, 581, 4330, 607, 519, 15497, 538, 513, 25521, 609, 519, 10321, 607, 922, 5011, 269, 634, 3017, 540, 1079, 10321, 3947, 519, 2034, 15497, 538, 713, 25521, 780, 2252, 4399, 11355, 2715, 320, 18098, 11355, 2715, 321, 4151, 1287, 596, 616, 7231, 609, 513, 32077, 639, 543, 519, 32377, 616, 13902, 602, 1797, 596, 616, 7231, 609, 513, 1318, 6906, 269, 630, 8450, 13613, 2020, 763, 5086, 1063, 519, 10321, 568, 1269, 273, 1422, 10401, 10608, 519, 5223, 540, 519, 3259, 540, 519, 546, 807, 690, 517, 1023, 568, 476, 272, 2433, 476, 1911, 269, 4935, 692, 7445, 11927, 7268, 10401, 21174, 2765, 3189, 2765, 346, 272, 2410, 273, 348, 1422, 10383, 22570, 11355, 21151, 32757, 11355, 15830, 348, 14587, 11513, 2765, 346, 272, 2410, 273, 348, 1422, 10383, 22570, 11355, 21151, 23180, 11355, 15830, 16585, 23201, 2334, 1797, 1384, 7445, 11927, 7268, 10401, 21174, 2765, 3189, 2765, 346, 272, 2410, 273, 348, 1422, 10383, 1422, 3847, 7268, 2765, 346, 272, 2410, 1911, 32710, 11355, 21151, 23180, 11355, 15830, 348, 9385, 2431, 14587, 11513, 2765, 346, 272, 2410, 273, 348, 1422, 10383, 22570, 11355, 21151, 23180, 11355, 15830, 348, 14587, 7807, 2765, 346, 272, 2410, 1911, 10592, 3086, 596, 666, 5173, 519, 5086, 1063, 519, 10321, 269, 594, 4312, 3893, 281, 4399, 13627, 476, 272, 269, 16409, 23373, 15132, 6911, 292, 289, 692, 274, 269, 11289, 596, 269, 594, 11214, 8694, 909, 609, 476, 1556, 269, 5379, 543, 1223, 660, 4137, 856, 1946, 780, 8005, 3591, 594, 1175, 7691, 713, 729, 538, 519, 4636, 8468, 269, 3794, 611, 596, 1336, 621, 19037, 1274, 18485, 780, 10484, 10484, 10484, 10484, 10484, 10484, 10484, 10484, 10484, 10484, 10484, 10484, 10484, 10484, 258, 1079, 10321, 589, 543, 645, 616, 10502, 3160, 9588, 267, 585, 589, 645, 547, 269, 581, 476, 1911, 2053, 3152, 3152, 982, 589, 5174, 1018, 1058, 581, 519, 606, 613, 1063, 873, 2496, 12812, 593, 513, 2165, 547, 3406, 585, 1644, 3584, 269, 0, 9943, 454, 9943, 692, 22069, 1903, 585, 3848, 476, 272, 268, 272, 281, 674, 7419, 290, 16739, 6730, 674, 7419, 290, 3582, 10691, 9569, 692, 17359, 3435, 585, 12793, 21290, 7827, 281, 589, 19369, 585, 20145, 1923, 476, 275, 628, 9990, 692, 25835, 281, 476, 7818, 271, 5325, 271, 4366, 275, 4037, 274, 692, 22069, 1903, 585, 3848, 476, 272, 268, 272, 281, 674, 7419, 290, 16739, 6730, 674, 7419, 290, 3582, 10691, 9569, 692, 22069, 1903, 585, 3848, 476, 272, 268, 272, 454, 275, 476, 276, 476, 271, 476, 23884, 17352, 454, 4029, 454, 272, 454, 25835, 281, 476, 7818, 271, 5325, 271, 4366, 275, 4037, 274, 692, 293, 17313, 21290, 7827, 281, 589, 19369, 585, 20145, 729, 2854, 676, 543, 568, 2404, 547, 519, 9768, 281, 476, 7818, 271, 5325, 271, 4366, 275, 4037, 274, 269, 901, 27763, 1837, 6668, 3391, 6227, 519, 1739, 11271, 543, 741, 3435, 269, 901, 1837, 6668, 3391, 729, 2813, 585, 519, 1837, 281, 12793, 21290, 7827, 281, 589, 19369, 585, 20145, 2073, 7160, 281, 476, 275, 269, 4595, 476, 4343, 2042, 538, 3184, 476, 272, 268, 272, 281, 674, 7419, 290, 16739, 6730, 674, 7419, 290, 3582, 10691, 9569, 723, 1044, 12943, 267, 811, 982, 476, 5908, 6924, 1053, 723, 9763, 2407, 1900, 8386, 9912, 3435, 689, 713, 3184, 269, 3848, 476, 272, 268, 272, 281, 674, 7419, 290, 16739, 6730 ]

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

[ 4481, 593, 11184, 3780, 2473, 300, 31420, 15571, 267, 513, 22082, 538, 9682, 543, 2228, 5925, 2533, 780, 2414, 2253, 609, 267, 1577, 721, 1174, 1018, 4010, 18297, 568, 269, 20837, 532, 4016, 547, 519, 1184, 540, 23142, 1239, 27137, 607, 8301, 267, 3381, 267, 610, 1256, 3301, 1765, 11666, 28204, 936, 519, 4950, 267, 3850, 3755, 547, 2972, 519, 1543, 538, 1483, 942, 1510, 2348, 547, 4647, 621, 7357, 269, 901, 2029, 814, 9927, 519, 9913, 2872, 267, 7175, 7426, 899, 11184, 3780, 2473, 300, 31420, 15571, 547, 2709, 741, 2533, 2066, 1585, 5867, 267, 1519, 16389, 267, 5904, 267, 543, 6131, 8800, 3457, 780, 3086, 602, 649, 723, 3964, 513, 2596, 1620, 540, 18297, 267, 1577, 721, 2263, 875, 11184, 3780, 2473, 300, 31420, 15571, 13352, 883, 713, 5251, 269, 5487, 684, 3481, 538, 476, 1220, 273, 267, 11184, 3780, 3533, 1500, 6329, 538, 519, 9682, 5925, 2344, 676, 3246, 1164, 7779, 3059, 8301, 5752, 3842, 15408, 28835, 519, 3047, 269, 1635, 26399, 609, 2473, 300, 31420, 15571, 538, 476, 1220, 279, 543, 13604, 4742, 11184, 3780, 2473, 300, 15571, 538, 476, 1001, 272, 267, 519, 2754, 4396, 1881, 922, 2990, 607, 513, 8789, 6345, 538, 519, 2872, 269, 4653, 267, 11184, 3780, 2473, 300, 3091, 811, 982, 476, 9873, 12535, 630, 528, 9055, 264, 540, 2575, 267, 5026, 267, 3377, 267, 543, 9913, 547, 922, 32224, 780, 3080, 8037, 4183, 540, 11184, 3780, 2473, 300, 781, 5356, 568, 922, 3309, 5542, 540, 740, 6954, 2575, 9055, 269, 1452, 9055, 8597, 547, 513, 2647, 2039, 540, 7574, 16919, 267, 17364, 11964, 689, 8106, 543, 15690, 547, 4224, 543, 1402, 269, 1280, 1346, 945, 4782, 2911, 5925, 267, 11184, 3780, 2473, 300, 849, 14747, 1896, 2442, 2982, 267, 971, 607, 20999, 590, 1181, 781, 20999, 476, 1911, 543, 20999, 476, 6200, 269, 5047, 267, 2824, 11184, 3780, 2575, 9055, 616, 2139, 998, 667, 880, 8416, 9682, 8613, 3028, 267, 2417, 9750, 519, 3760, 781, 3914, 780, 3383, 875, 1281, 782, 540, 713, 960, 286, 2311, 922, 4295, 267, 11184, 3780, 2473, 300, 12346, 593, 1079, 3119, 2409, 540, 12419, 1543, 547, 922, 32224, 281, 9682, 6771, 543, 4950, 18297, 269, 3414, 922, 3060, 540, 15408, 267, 11184, 3780, 2473, 300, 20832, 6786, 5627, 922, 5752, 2047, 547, 2256, 1392, 8704, 538, 3755, 262, 5321, 610, 6472, 269, 17968, 267, 32224, 666, 6908, 11184, 3780, 2473, 300, 1543, 3842, 519, 5769, 1210, 15095, 3457, 971, 607, 16389, 267, 14342, 267, 610, 5904, 780, 291, 539, 5344, 18297, 3457, 1491, 713, 13418, 513, 1900, 2417, 676, 5356, 15774, 5610, 609, 4540, 1753, 14364, 1949, 269, 1452, 3457, 1419, 2097, 9280, 609, 2934, 2966, 547, 3986, 3593, 1995, 267, 971, 607, 3818, 3336, 10342, 267, 5639, 1852, 267, 543, 1489, 585, 1164, 22822, 8301, 12043, 269, 2368, 2442, 1806, 540, 971, 3457, 1331, 12312, 657, 267, 9324, 517, 16777, 5308, 267, 543, 26232, 21036, 8535, 290, 770, 780, 2026, 6800, 5051, 9784, 10260, 24408, 1154, 543, 1904, 585, 20221, 3288, 7047, 324, 9913, 3681, 267, 18297, 3457, 899, 891, 1831, 1898, 3334, 540, 2413, 1753, 9913, 1305, 5725, 269, 1358, 5512, 3755, 547, 1225, 622, 10531, 6947, 2833, 676, 11544, 543, 12805, 1543, 689, 1585, 2959, 267, 1519, 11184, 3780, 2473, 300, 31420, 15571, 267, 20128, 1518, 267, 17455, 7702, 267, 11197, 8535, 267, 543, 1866, 269, 5015, 267, 1082, 540, 891, 3457, 11753, 609, 2442, 5691, 20843, 899, 8835, 5981, 320, 610, 5616, 19608, 267, 1818, 621, 2653, 585, 3755, 547, 4383, 741, 9913, 7375, 1210, 2241, 5639, 12981, 780, 1103, 3932, 267, 18297, 3457, 2099, 513, 1713, 13120, 538, 1753, 9913, 2029, 267, 16779, 3755, 609, 13778, 8112, 543, 3903, 269, 14992, 899, 11184, 3780, 2473, 300, 31420, 15571, 3136, 547, 3048, 622, 543, 4228, 741, 17008, 267, 4180, 602, 972, 786, 2141, 581, 1007, 543, 3078, 1543, 585, 721, 547, 3605, 269, 1306, 713, 2361, 5170, 547, 11457, 267, 621, 568, 2629, 585, 1053, 540, 5600, 1299, 5851, 270, 11767, 24287, 7010, 547, 3251, 5483, 827, 6932, 3466, 543, 4066, 865, 789, 666, 1118, 13473, 3664, 950, 8888, 610, 18175, 15665, 741, 1378, 9913, 1949, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 347, 9802, 476, 1704, 267, 476, 1960, 271, 454, 347, 20464, 476, 1724, 267, 476, 1001, 272, 454, 23277, 1120, 539, 609, 2473, 300, 31420, 15571, 538, 476, 1220, 279, 267, 24673, 883, 11184, 3780, 2473, 300, 15571, 538, 476, 1001, 272, 454, 347, 6124, 3840, 4975, 267, 2136, 2276, 454, 10831, 540, 5520, 454, 16085, 597, 3780, 2473, 300, 15579, 902, 454, 306, 597, 3780, 31420, 15571, 729, 513, 9682, 5925, 630, 16256, 12678, 264, 543, 2228, 5925, 3028, 5665, 538, 3345, 3013, 267, 11262, 676, 11184, 3780, 2473, 300, 15579, 902, 563, 23175, 32483, 1229, 538, 1715, 3840, 4975, 267, 609, 4130, 801, 3930, 538, 11968, 13353, 543, 6490, 874, 529, 267, 11184, 3780, 729, 13166, 9250, 593, 5147, 476, 272, 267, 476, 1220, 273, 269, 898, 1631, 2488, 476, 7597, 12535, 630, 577, 2335, 1564, 264, 540, 2575, 543, 476, 4792, 12535, 540, 5026, 267, 3377, 267, 543, 9913, 547, 922, 32224, 269, 589, 15410, 540, 11184, 3780, 2575, 9055, 568, 3769, 607, 851, 540, 519, 667, 880, 8416, 9682, 8613, 3028, 269, 11184, 3780, 9055, 616, 4857, 676, 715, 1408, 11420, 23866, 609, 519, 6003, 834, 17876, 257, 630, 324, 3052, 269, 834, 17876, 6344, 2580, 834, 17876, 280, 2580, 834, 17876, 1704, 257, 1916, 21132, 1870, 2203, 568, 547, 1683, 2628, 16519, 28129, 5925, 267, 26922, 547, 519, 1870, 2203, 585, 14167, 10814, 8613, 269, 8535, 9055, 616, 4843, 1510, 10229, 267, 1247, 922, 2911, 9055, 267, 971, 607, 20999, 590, 1181, 781, 20999, 476, 1911, 543, 20999, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 1805, 3195, 532, 20905, 257, 607, 851, 540, 834, 9816, 27516, 1299, 670, 26041, 1315, 30007, 7010, 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, 1012, 4197, 5124, 18140, 1154, 609, 32287, 692, 1103, 713, 1770, 267, 649, 786, 2263, 519, 1158, 540, 1239, 14839, 1210, 5124, 269, 1284, 786, 1451, 875, 547, 1711, 4190, 543, 13181, 13602, 1210, 513, 2442, 5399, 1572, 32287, 269, 901, 5399, 568, 4922, 1031, 538, 519, 2361, 540, 1239, 2257, 267, 3684, 1565, 267, 543, 4702, 780, 2162, 12305, 532, 543, 7383, 532, 23905, 692, 6524, 649, 1376, 267, 649, 991, 547, 1118, 2386, 602, 649, 723, 519, 2556, 8021, 8704, 269, 1403, 596, 10093, 1405, 8704, 32287, 2943, 267, 596, 666, 798, 865, 1210, 10398, 1384, 3499, 7090, 454, 26921, 3888, 21267, 454, 7884, 5629, 596, 723, 32287, 8704, 267, 596, 666, 1104, 621, 883, 707, 5124, 7097, 1384, 3499, 7090, 454, 5814, 21267, 28272, 607, 12301, 454, 7884, 2162, 4197, 519, 17943, 540, 32287, 692, 12385, 15003, 568, 513, 28321, 5399, 585, 5124, 269, 898, 2636, 596, 547, 1711, 11979, 267, 19347, 267, 543, 7317, 32331, 538, 5124, 269, 898, 568, 3810, 2688, 14184, 267, 799, 1797, 596, 666, 1689, 3592, 1169, 2460, 540, 707, 4729, 780, 2162, 12861, 513, 7612, 543, 16547, 525, 692, 1103, 32287, 267, 513, 4137, 568, 513, 1283, 7400, 8708, 585, 782, 519, 4729, 2609, 269, 1323, 17887, 568, 513, 851, 540, 519, 4137, 1141, 519, 4890, 28321, 3217, 1747, 269, 1411, 666, 1589, 540, 621, 607, 513, 17198, 585, 707, 4729, 780, 1103, 519, 2016, 3009, 6256, 267, 513, 4137, 543, 17887, 616, 2813, 1210, 519, 1739, 3515, 540, 3009, 1384, 3499, 7090, 454, 1345, 8807, 2682, 815, 1582, 269, 4754, 11663, 8807, 2682, 454, 1345, 269, 31320, 815, 1582, 8807, 2682, 14491, 5334, 889, 7120, 263, 9340, 994, 7884, 2080, 267, 2387, 1345, 269, 4754, 11663, 8807, 2682, 319, 568, 1031, 547, 1205, 519, 4137, 689, 519, 17198, 269, 2387, 5417, 5334, 889, 7120, 263, 9340, 23375, 568, 1031, 547, 1711, 513, 2582, 17887, 602, 21269, 519, 3003, 4137, 780, 2162, 14301, 513, 25373, 692, 2791, 666, 1039, 513, 7470, 547, 707, 4729, 1210, 519, 2387, 28186, 13237, 1599, 269, 589, 7470, 666, 948, 596, 1224, 519, 2418, 689, 519, 4729, 811, 8308, 780, 3499, 7090, 454, 1345, 269, 31320, 26942, 263, 12148, 994, 7884, 2162, 5455, 323, 908, 519, 18140, 692, 763, 2387, 26303, 4415, 4692, 11663, 13237, 1599, 568, 1031, 547, 9337, 519, 4729, 609, 513, 1007, 17198, 269, 901, 1599, 3355, 3278, 519, 4137, 543, 17887, 609, 519, 1007, 17198, 543, 2699, 3863, 338, 519, 4729, 780, 3499, 7090, 454, 3698, 9337, 4415, 4692, 11663, 4311, 267, 17198, 2187, 825, 5727, 3355, 1125, 609, 519, 17198, 585, 519, 4137, 454, 825, 8173, 825, 1582, 269, 4754, 11663, 815, 17198, 454, 825, 1582, 8807, 2682, 815, 1582, 269, 4754, 11663, 8807, 2682, 454, 825, 1582, 269, 31320, 815, 1582, 8807, 2682, 14491, 5334, 889, 7120, 263, 9340, 994, 825, 1582, 269, 31320, 26942, 263, 12148, 994, 825, 1582, 269, 4754, 11663, 6155, 3863, 16182, 548, 4590, 7884, 2162, 18140, 1154, 4578, 692, 763, 2387, 5522, 582, 13237, 1599, 568, 1031, 547, 4729, 1239, 593, 519, 17887, 269, 901, 1599, 3217, 538, 1896, 6724, 1384, 268, 2387, 5891, 289, 16466, 29699, 901, 568, 606, 1843, 602, 3568, 519, 4137, 543, 17887, 563, 268, 2387, 343, 319, 543, 2387, 344, 29699, 1452, 616, 519, 1535, 543, 586, 10974, 540, 519, 1239, 2798, 563, 268, 2387, 343, 318, 19327, 319, 543, 2387, 344, 318, 19327, 29699, 1452, 616, 519, 1535, 543, 586, 10974, 540, 519, 1858, 547, 581, 4904, 563, 268, 2387, 27583, 12452, 2387, 343, 16932, 12452, 543, 2387, 29786, 29699, 1452, 616, 519, 2140, 540, 519, 4729, 543, 519, 10297, 585, 519, 1535, 543, 586, 17887, 780, 763, 1599, 1101, 5036, 519, 11768, 540, 519, 4729, 1210, 2387, 3553, 4671, 697, 9078, 599, 719, 13237, 269, 898, 1287, 1579, 1513, 519, 17887, 543, 17176, 547, 519, 1101, 17887, 269, 634, 7470, 568, 5828, 593, 267, 543, 519, 1858, 1063, 2387, 343, 318, 19327, 319, 543, 2387, 344, 318, 19327, 319, 568, 4904, 609, 513, 4544, 2681, 269, 634, 1239, 2798, 616, 28367, 1210, 513, 2699, 1899, 269, 634, 2140, 543, 10297, 616, 1305, 267, 543, 519, 4729, 568, 2699, 22148, 780, 3499, 7090, 454, 3698, 18140, 263, 5891, 289, 16466, 267, 1535, 267, 586, 267, 1535, 318, 19327, 267, 586, 318, 19327, 267, 2140, 267, 1535, 16932, 267, 586, 16932, 2187, 825, 4159, 289, 16466, 15630, 4671, 697, 9078, 599, 719, 4590, 825, 4159, 289, 16466, 269, 27234, 288, 343, 529, 4590, 825, 4159, 289, 16466, 269, 1873, 3558, 288, 343, 525, 22607, 728, 288, 343, 525, 273, 815, 6936, 994, 825, 4159, 289, 16466, 26942, 815, 6936, 454, 825, 4159, 289, 16466, 269, 31320, 272, 26942, 263, 12148, 994, 825, 4159, 289, 16466, 269, 31320, 272, 8807, 650, 10734, 15277, 3287, 318, 19327, 267, 586, 318, 19327, 267, 2681, 815, 1412, 19990, 3299, 13672, 815, 476, 271, 269, 274, 994, 825, 4159, 289, 16466, 269, 31320, 272, 19502, 3287, 267, 586, 267, 561, 342, 815, 476, 272, 267, 524, 815, 1412, 1042, 5073, 825, 4159, 289, 16466, 269, 31320, 272, 15630, 21234, 2891, 303, 6185, 12171, 269, 834, 1341, 2140, 994, 825, 4159, 289, 16466, 269, 31320, 272, 15630, 3287, 16932, 815, 1535, 16932, 267, 586, 16932, 815, 586, 16932, 994, 825, 4159, 289, 16466, 15630, 288, 343, 525, 3682, 1186, 21413, 288, 343, 525, 273, 263, 14085, 267, 7183, 267, 7183, 267, 7183, 267, 7183, 267, 7183, 267, 7183, 267, 8771, 267, 8771, 994, 825, 4159, 289, 16466, 269, 4754, 11663, 6155, 3863, 16182, 548, 4590, 7884, 2162, 10390, 692, 1103, 713, 1770, 267, 649, 4121, 827, 519, 9238, 540, 1239, 14839, 1210, 32287, 269, 1284, 4121, 875, 547, 1711, 513, 4137, 543, 17887, 267, 1039, 513, 7470, 267, 543, 4729, 1239, 269, 1284, 849, 4121, 875, 547, 9337, 519, 4729, 609, 513, 1007, 17198 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10574, 689, 281, 589, 2518, 10471, 585, 2804, 9271, 540, 3665, 3289, 25233, 2621, 1282, 476, 3422, 271, 268, 1001, 275, 454, 307, 7776, 267, 4425, 1696, 620, 269, 630, 1001, 280, 1070, 4578, 689, 281, 589, 2518, 10471, 585, 2804, 9271, 540, 3665, 3289, 25233, 2621, 1282, 476, 3422, 271, 268, 1001, 275, 267, 16959, 611, 267, 13096, 553, 564, 267, 4179, 2517, 8742, 3820, 270, 1015, 269, 2004, 277, 272, 7933, 787, 611, 269, 1240, 339, 10695, 339, 271, 454, 288, 3102, 10471, 540, 3665, 3289, 25233, 2621, 630, 292, 4047, 338, 264, 1107, 17160, 543, 26221, 267, 9967, 540, 476, 273, 267, 14378, 20825, 5001, 267, 1282, 476, 3422, 271, 13001, 1001, 275, 729, 16432, 267, 543, 1287, 741, 2804, 9271, 941, 28348, 1210, 513, 3902, 4994, 538, 772, 2529, 269, 13362, 269, 634, 10471, 4951, 513, 1713, 2810, 7678, 540, 661, 4047, 338, 1354, 476, 1220, 271, 267, 1247, 513, 13581, 2022, 13001, 1220, 271, 7771, 269, 4856, 22046, 5944, 267, 519, 661, 4047, 338, 13001, 8619, 4310, 2804, 9271, 2799, 15069, 1354, 476, 1220, 271, 4553, 676, 513, 13581, 6175, 282, 519, 2022, 13001, 1220, 271, 7771, 1223, 581, 13148, 11911, 547, 519, 11081, 538, 10980, 543, 6360, 13001, 1440, 821, 1858, 267, 610, 2916, 9542, 2853, 269, 1975, 520, 6053, 267, 5607, 4810, 1034, 661, 4047, 338, 630, 280, 7597, 1070, 7222, 547, 519, 4102, 2671, 540, 2804, 9271, 630, 32191, 1269, 279, 6924, 5479, 585, 17160, 543, 1269, 2004, 5479, 585, 26221, 267, 6606, 1070, 1247, 7909, 807, 1185, 519, 2547, 661, 4047, 338, 630, 9083, 264, 543, 519, 2547, 2804, 9271, 630, 32191, 1269, 866, 5479, 585, 17160, 543, 1269, 3393, 5479, 585, 26221, 1040, 634, 2947, 2477, 609, 519, 5207, 661, 4047, 13001, 8619, 4310, 2804, 9271, 941, 3624, 267, 7330, 267, 4516, 267, 5245, 267, 543, 3127, 269, 18831, 602, 11124, 519, 5207, 6360, 13001, 8619, 4310, 2804, 9271, 941, 3624, 267, 7330, 267, 543, 4516, 269, 901, 10471, 2488, 513, 11050, 3095, 720, 1063, 2916, 2257, 543, 2804, 9271, 693, 513, 2518, 4336, 282, 543, 621, 568, 6225, 585, 519, 6237, 20296, 1764, 10526, 543, 2054, 673, 1646, 585, 19086, 2916, 1689, 5222, 269, 0, 293, 880, 3282, 568, 513, 2707, 540, 15060, 476, 274, 1898, 9761, 7408, 269, 898, 24506, 27831, 1938, 543, 4667, 547, 2569, 2589, 540, 4965, 563, 2005, 949, 849, 13468, 930, 11213, 12982, 2175, 269, 12551, 3282, 9360, 616, 606, 5140, 1259, 547, 10536, 15060, 476, 274, 1898, 9761, 7408, 563, 763, 1739, 616, 2009, 1072, 2640, 1382, 814, 4362, 950, 3165, 610, 3165, 3282, 568, 3769, 538, 519, 2732, 563, 2467, 568, 606, 6654, 3095, 538, 519, 1072, 543, 1134, 5630, 540, 1004, 945, 21078, 538, 2477, 267, 1141, 7899, 540, 3165, 568, 13881, 563, 10144, 945, 723, 513, 6140, 7262, 2732, 19890, 267, 1810, 1406, 1205, 6190, 9424, 540, 15060, 476, 274, 9761, 7408, 998, 741, 2732, 563, 1607, 1223, 581, 835, 5817, 2014, 538, 519, 1082, 1072, 2042, 602, 3100, 547, 20575, 7262, 2528, 563, 763, 1560, 10416, 3085, 1406, 723, 519, 2702, 547, 1711, 15060, 476, 274, 9761, 7408, 593, 621, 779, 1378, 563, 11997, 267, 938, 1292, 2707, 540, 15060, 476, 274, 1898, 9761, 7408, 568, 689, 519, 1919, 649, 8532, 563, 2005, 779, 1434, 547, 917, 602, 267, 15060, 476, 274, 1898, 9761, 7408, 616, 2139, 538, 1082, 2010, 540, 3536, 563, 2791, 666, 8532, 3165, 3282, 9360, 547, 1205, 519, 15060, 476, 274, 1898, 9761, 7408, 596, 2154, 563, 10932, 689, 519, 2160, 540, 13325, 7000, 602, 1312, 9038, 543, 8951, 949, 7237, 7965, 609, 26983, 950, 789, 723, 1970, 9761, 7408, 2157, 563, 763, 1382, 4767, 602, 9038, 2110, 593, 15060, 476, 274, 666, 1995, 1970, 2157, 540, 606, 11747, 602, 5540, 12680, 563, 2691, 2367, 21592, 741, 15060, 476, 274, 1898, 9761, 7408, 2157, 676, 2921, 3165, 3282, 267, 519, 1353, 5462, 602, 621, 9247, 5280, 609, 13059, 1346, 11476, 1394, 547, 2834, 2157, 267, 21528, 547, 2087, 2138, 1006, 540, 519, 14203, 563, 763, 9838, 1382, 6700, 602, 2021, 1522, 849, 3068, 22485, 12680, 3928, 30289, 547, 606, 9000, 540, 15060, 476, 274, 1898, 9761, 7408, 1369, 519, 2732, 267, 10483, 676, 606, 2799, 1981, 540, 31761, 267, 950, 32460, 1185, 3144, 1747, 563, 4263, 519, 1439, 540, 519, 1382, 267, 3173, 8612, 602, 3165, 3282, 949, 581, 3730, 585, 29000, 547, 3666, 856, 11385, 908, 9449, 2157, 602, 1404, 513, 1909, 538, 26983, 2152, 563, 2005, 814, 1044, 5462, 602, 3165, 3282, 949, 849, 4324, 930, 8951, 538, 17212, 1324, 11213, 18492, 25574, 563, 1103, 25691, 568, 2219, 547, 581, 513, 9594, 585, 513, 3099, 540, 5312, 1072, 2042, 267, 1519, 27131, 12263, 267, 5186, 18255, 779, 2068, 267, 930, 2010, 540, 11871, 267, 9025, 2042, 267, 19357, 658, 10447, 543, 513, 3099, 540, 824, 2175, 563, 3682, 560, 698, 1633, 1231, 616, 519, 1560, 779, 2067, 1259, 540, 5883, 6553, 267, 4543, 547, 5329, 621, 896, 1852, 267, 543, 1382, 814, 3254, 602, 3165, 3282, 2337, 519, 1560, 5818, 922, 2504, 540, 891, 6464, 563, 763, 15060, 476, 274, 538, 3165, 3282, 814, 1808, 4550, 13611, 3601, 602, 948, 547, 8897, 6553, 538, 519, 10549, 538, 1004, 945, 7985, 689, 12263, 563, 1103, 3871, 1141, 1004, 946, 3165, 3282, 607, 851, 540, 513, 2834, 6296, 267, 519, 4220, 540, 3384, 6553, 5829, 3676, 543, 1072, 2042, 616, 13497, 8519, 563, 293, 880, 543, 16872, 723, 2141, 1044, 2808, 547, 723, 513, 5363, 1198, 593, 519, 2634, 563, 763, 8156, 540, 12216, 779, 2068, 538, 1082, 2665, 267, 949, 581, 5280, 609, 519, 15060, 476, 274, 1898, 9761, 7408, 1336, 538, 3165, 3282, 267, 2090, 17298, 693, 519, 17039, 3557, 2160, 543, 519, 2160, 540, 4993, 8761, 563, 763, 2090, 538, 519, 1482, 6073, 267, 7000, 602, 1346, 593, 513, 2732, 16041, 609, 3165, 267, 1519, 16872, 267, 941, 711, 607, 2693, 547, 723, 12110, 610, 12216, 779, 2068, 563, 2026, 971, 267, 15060, 476, 274, 1898, 9761, 7408, 666, 581, 1360, 5363, 538, 21528, 547, 2149, 13951, 689, 891, 1072, 2152, 689, 8345, 563, 763, 1883, 2601, 1946, 3165, 3282, 2501, 609, 7899, 540, 2640, 267, 568, 1813, 547, 519, 15060, 476, 274, 1898, 9761, 7408, 1459, 538, 621, 563, 15703, 540, 519, 15060, 476, 274, 616, 24488, 2000, 514, 18036, 545, 3679, 267, 16501, 630, 292, 545, 657, 777, 31980, 523, 18757, 3679, 1070, 667, 11190, 630, 291, 665, 6242, 28411, 320, 523, 18757, 3679, 1070, 543, 717, 10397, 2000, 514, 18036, 545, 3679, 267, 543, 1896, 1866, 799, 723, 1044, 3254, 547, 1683, 513, 2318, 1198, 593, 1072, 563, 5978, 4703, 616, 711, 2111, 547, 3132, 891, 5567, 267, 799, 6941, 1946, 649, 786, 991, 547, 18992, 547, 16565, 873, 689, 513, 2039, 540, 3536, 563, 22137, 5340, 693, 519, 6931, 639, 6754, 532, 4659, 1397, 602, 513, 1268, 949, 581, 6849, 606, 2799, 1981, 540, 3384, 2295, 2042, 952, 789, 1810, 1406, 1205, 2614, 15060, 476, 274, 9761, 7408, 563, 1103, 1249, 267, 3478, 519, 1318, 2179, 540, 15060, 476, 274, 666, 948, 547, 2569, 519, 4960, 540, 3384, 2295, 2068, 267, 1759, 593, 1382, 5342, 676, 519, 1977, 9839, 5948, 563, 763, 1382, 4422, 593, 547, 1397, 602, 3165, 3282, 568, 2111, 547, 2061, 519, 5739, 1628, 5346, 540, 27831, 1938, 267, 607, 1134, 607, 13302, 543, 7303, 19473, 29912, 563, 22137, 723, 849, 1336, 602, 1004, 945, 1185, 3144, 3165, 3282, 9360, 5781, 941, 1454, 1447, 2693, 547, 13151, 3518, 547, 513, 5732, 14603, 13487, 10654, 563, 22137, 5645, 856, 538, 16862, 540, 5176, 476, 280, 267, 1822, 2021, 602, 616, 9176, 4951, 602, 24584, 11299, 945, 1185, 3144, 3165, 3282, 998, 519, 6379, 941, 2484, 1447, 11630, 547, 979, 998, 2022, 5991, 7614, 4965, 563, 763, 1482, 1353, 849, 7000, 602, 2038, 4074, 729, 849, 14320, 1447, 2693, 547, 2049, 950, 513, 4807, 1185, 7850, 15060, 476, 274, 538, 1200, 1560, 563, 9827, 267, 3214, 4171, 11299, 1185, 1031, 3165, 3282, 267, 17820, 3152, 1688, 31378, 11558, 950, 3379, 609, 1346, 945, 22821, 1406, 4810, 519, 2640, 540, 15060, 476, 274, 563, 299, 1853, 3282, 9360, 267, 12077, 13798, 6797, 3282, 267, 2705, 267, 1058, 711, 581, 3144, 676, 9176, 11299, 563, 303, 675, 3165, 3282, 9360, 568, 1018, 596, 991, 547, 581, 1210, 563, 3528, 10158, 2986, 10390, 454, 6624, 1072, 9439, 543, 2732, 527, 2103, 18973, 602, 649, 8532, 3165, 585, 519, 1292, 6980, 693, 2547, 267, 1079, 2053, 12353, 563, 2005, 568, 5227, 602, 596, 1039, 824, 3536, 602, 2270, 15060, 476, 274, 1898, 9761, 7408, 547, 707, 2732, 267, 2436, 607, 16152, 610, 851, 540, 1022, 824, 6980, 563, 14300, 540, 891, 616, 267, 6328, 601, 22756, 267, 8478, 10808, 267, 737, 27626, 267, 4195, 5388, 543, 5613, 563, 4517, 2943, 267, 602, 3884, 1406, 606, 4781, 585, 1169, 1268, 563, 2005, 779, 2009, 602, 596, 949, 771, 3697, 519, 6492, 540, 3165, 267, 610, 4195, 16872, 568, 711, 11593, 2139, 693, 10097, 5777, 1141, 596, 616, 2713, 563, 288, 1434, 4244, 568, 547, 1491, 3165, 3282, 9360, 593, 513, 2834, 4493, 563, 6546, 1259, 267, 596, 666, 581, 2386, 602, 707, 1560, 568, 5665, 693, 8445, 2157, 267, 543, 596, 3136, 547, 1832, 5140, 1072, 676, 3246, 519, 1560, 519, 1898, 15060, 476, 274, 9761, 7408, 621, 3340, 563, 763, 3165, 3282, 9360, 596, 1205, 1058, 581, 540, 1434, 2298, 563, 2005, 779, 1898, 547, 2327, 602, 6986, 3165, 3282, 609, 1100, 14107, 568, 1373, 1031, 538, 519, 2504, 540, 519, 3165, 3282, 9360, 596, 616, 2921, 267, 602, 779, 9247, 519, 1259, 547, 3478, 1390, 2164, 269, 0, 268, 1323, 3919, 10953, 513, 5276, 9695, 2203, 547, 9472, 6455, 269, 12989, 616, 519, 2164, 540, 519, 9695, 2079, 1210, 476, 1321, 5712, 538, 519, 2203, 563, 320, 269, 1772, 519, 2203, 1713, 286, 1548, 1239, 9727, 519, 4644, 540, 519, 2203, 888, 321, 269, 1548, 1281, 519, 681, 12384, 24901, 888, 322, 269, 1548, 568, 519, 9472, 585, 1974, 476, 1724, 286, 0, 2791, 616, 2953, 8206, 6184, 4327, 7601, 5911, 568, 1031, 547, 1711, 606, 30402, 24599, 269, 898, 786, 9090, 960, 2336, 1432, 786, 4755, 952, 596, 946, 606, 1202, 4327, 7601, 5911, 585, 1818, 606, 30402, 24599, 888, 1432, 786, 4755, 952, 596, 946, 606, 796, 1231, 4327, 7601, 5911, 585, 1818, 606, 30402, 24599, 286, 634, 7601, 5911, 1472, 606, 30402, 24599, 568, 1202, 4327, 547, 2057, 1699, 2095, 1063, 519, 12904, 269, 1403, 519, 5911, 568, 796, 1231, 4327, 519, 1699, 786, 1491, 513, 2110, 2759, 543, 786, 711, 2095, 2789, 2053, 1472, 519, 4295, 563, 4692, 596, 946, 1022, 5911, 547, 1118, 606, 30402, 24599, 888, 2791, 666, 946, 11953, 476, 736, 288, 310, 294, 5911, 547, 1118, 606, 30402, 24599, 267, 855, 4440, 711, 519, 1655, 2856, 607, 596, 723, 547, 7048, 593, 12547, 6106, 602, 1202, 3634, 610, 5911, 19437, 547, 1832, 1699, 689, 4881, 2786, 689, 835, 16509, 547, 519, 1985, 610, 998, 519, 17970, 563, 1432, 1826, 540, 5911, 568, 1655, 585, 606, 30402, 24599, 888, 306, 13521, 7601, 5911, 568, 1732, 1317, 621, 666, 2356, 4163, 811, 1699, 269, 898, 568, 1655, 547, 723, 513, 1804, 2179, 540, 7601, 547, 1832, 519, 4187, 1524, 269, 898, 568, 849, 1434, 547, 723, 513, 2603, 540, 7140, 547, 1118, 1732, 946, 540, 519, 2139, 1699, 269, 21019, 814, 519, 9803, 4187, 693, 4055, 2837, 267, 865, 922, 513, 1390, 3903, 563, 3963, 568, 1202, 4327, 5911, 1031, 538, 30402, 1725, 1115, 888, 10303, 1510, 13471, 519, 5201, 786, 1491, 519, 20125, 267, 9803, 9113, 2700, 1576, 267, 799, 786, 581, 2663, 958, 2066, 2842, 902, 269, 898, 786, 711, 2095, 2789, 2053, 1472, 519, 4295, 267, 799, 568, 1018, 7472, 519, 6419, 13441, 602, 568, 519, 2898, 1448, 540, 606, 30402, 24599, 563, 3963, 568, 1202, 4327, 5911, 1031, 888, 290, 762, 543, 5911, 13471, 11151, 519, 1202, 4327, 5911, 779, 1699, 689, 4947, 883, 3346, 609, 824, 26423, 269, 898, 28933, 519, 5911, 1570, 1996, 2825, 6937, 543, 759, 1235, 5122, 24694, 563, 1692, 666, 596, 2333, 519, 17444, 4222, 540, 606, 30402, 24599, 888, 2791, 666, 1118, 606, 30402, 24599, 6793, 676, 3257, 891, 1919, 912, 268, 28277, 519, 16509, 1472, 513, 4062, 540, 4401, 630, 7945, 607, 606, 4401, 17970, 994, 268, 4946, 811, 7140 ]

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

[ 543, 741, 22037, 1162, 267, 9435, 1763, 1421, 476, 6795, 267, 476, 6812, 274, 271, 268, 6812, 274, 276, 563, 1911, 11053, 531, 802, 267, 918, 269, 700, 1421, 5695, 2917, 267, 670, 1421, 717, 2660, 267, 918, 269, 595, 1421, 7665, 6202, 267, 623, 269, 670, 1421, 623, 7676, 267, 595, 269, 654, 1421, 1696, 620, 269, 630, 1220, 271, 264, 634, 4082, 543, 3892, 540, 519, 3834, 2135, 807, 2987, 3027, 1043, 2188, 670, 9281, 268, 272, 10382, 543, 670, 9281, 268, 273, 10382, 538, 3339, 1480, 8031, 267, 11871, 267, 543, 10510, 23938, 31457, 267, 2549, 269, 808, 269, 11202, 565, 1421, 476, 14991, 267, 476, 30329, 268, 275, 2641, 563, 6200, 12171, 4594, 1889, 267, 594, 1421, 918, 686, 1122, 267, 631, 1421, 543, 17934, 267, 918, 269, 670, 269, 630, 1960, 279, 264, 5455, 30625, 540, 15466, 32361, 2208, 3815, 538, 588, 668, 531, 2281, 540, 8280, 30231, 984, 18431, 5557, 568, 17047, 609, 909, 30625, 540, 519, 16606, 3815, 15679, 293, 26260, 9281, 268, 273, 10401, 267, 2549, 269, 808, 269, 11202, 565, 1421, 476, 14631, 267, 476, 1839, 268, 3066, 267, 8222, 281, 476, 1015, 269, 6200, 277, 4882, 1822, 273, 268, 280, 4510, 271, 263, 1015, 264, 277, 4649, 6078, 268, 272, 563, 9083, 14389, 686, 1122, 267, 631, 1421, 12794, 553, 267, 681, 1421, 4858, 1276, 267, 670, 1421, 589, 14982, 267, 570, 1421, 4469, 600, 1889, 267, 594, 1421, 543, 17934, 267, 918, 269, 670, 269, 630, 1220, 271, 264, 5455, 30625, 540, 3834, 2135, 807, 2987, 3027, 1043, 2188, 670, 9281, 268, 272, 10382, 543, 670, 9281, 268, 273, 10382, 896, 2343, 16464, 2175, 538, 17669, 26217, 2281, 676, 13153, 26194, 601, 6441, 785, 879, 10510, 16401, 528, 5444, 2530, 540, 1599, 267, 2201, 322, 10942, 267, 476, 866, 267, 476, 276, 6246, 276, 268, 276, 4510, 274, 267, 8222, 281, 476, 1015, 269, 9818, 279, 4882, 329, 269, 517, 322, 269, 6344, 4375, 274, 279, 563, 9818, 14371, 9332, 668, 12935, 13403, 267, 589, 1421, 918, 537, 330, 2227, 330, 529, 267, 631, 269, 594, 1421, 543, 590, 643, 5090, 529, 267, 661, 269, 630, 1220, 272, 264, 4039, 566, 540, 3834, 2135, 807, 1802, 24862, 3815, 476, 272, 13672, 543, 476, 273, 13672, 538, 1766, 762, 1875, 23337, 718, 1591, 5761, 2860, 547, 2587, 328, 8328, 8276, 12817, 9043, 540, 6084, 2293, 543, 6668, 267, 5696, 269, 808, 269, 9435, 267, 476, 5952, 267, 476, 6434, 272, 268, 279, 3445, 267, 8222, 281, 476, 1015, 269, 10755, 275, 11486, 329, 665, 269, 1220, 272, 269, 1001, 279, 563, 10441, 15030, 784, 267, 595, 269, 595, 1421, 18681, 267, 670, 1421, 16500, 7719, 267, 667, 269, 631, 1421, 16441, 267, 808, 1421, 1284, 328, 267, 670, 1421, 1696, 620, 269, 630, 1001, 273, 264, 769, 3031, 6002, 540, 3834, 2135, 807, 2987, 3027, 1043, 3815, 476, 272, 3625, 6089, 2860, 22037, 1738, 13395, 5250, 543, 5761, 22037, 12118, 267, 808, 269, 20703, 269, 2405, 269, 630, 29155, 331, 1070, 476, 3445, 267, 476, 3199, 274, 268, 279, 1428, 563, 10755, 5861, 1156, 267, 654, 1421, 1261, 267, 667, 1421, 9149, 267, 2098, 1421, 18681, 267, 2473, 1421, 7754, 267, 667, 1421, 543, 16441, 267, 717, 269, 630, 1001, 276, 264, 744, 3164, 343, 16054, 540, 15466, 32361, 2208, 3815, 6920, 4057, 4093, 540, 1350, 328, 5448, 281, 513, 9836, 2689, 543, 13849, 20400, 267, 2271, 269, 808, 269, 7885, 269, 5890, 269, 2405, 1421, 476, 1428, 267, 476, 279, 3583, 280, 268, 9262, 272, 280, 563, 11793, 14389, 4768, 267, 645, 1421, 10609, 342, 24652, 267, 674, 269, 654, 1421, 1530, 951, 517, 267, 661, 269, 589, 1421, 4223, 1156, 344, 267, 590, 269, 700, 1421, 5696, 520, 267, 667, 269, 808, 1421, 543, 11709, 2725, 597, 267, 661, 269, 717, 269, 630, 1220, 276, 264, 14523, 2135, 807, 543, 519, 3834, 2135, 807, 2987, 3027, 1043, 29969, 13374, 538, 1350, 328, 5448, 2208, 543, 2587, 328, 14003, 267, 11671, 2201, 3712, 1421, 476, 278, 267, 476, 16328, 268, 14631, 267, 8222, 281, 476, 1015, 269, 13199, 276, 13478, 12893, 26326, 10204, 6110, 9340, 276, 563, 13040, 2529, 1156, 267, 595, 1421, 7137, 537, 16223, 574, 267, 681, 1421, 5576, 636, 12329, 267, 590, 269, 661, 1421, 31481, 267, 808, 1421, 26284, 267, 631, 1421, 543, 6178, 648, 26152, 267, 590, 269, 630, 1001, 272, 264, 18726, 543, 6198, 2090, 708, 12393, 670, 9281, 272, 10401, 607, 513, 476, 1691, 336, 8459, 2860, 16401, 528, 5444, 267, 9435, 5494, 990, 1421, 476, 272, 267, 476, 19442, 268, 20720, 563, 10482, 11065, 597, 1676, 267, 623, 1421, 5576, 785, 331, 267, 631, 1421, 744, 828, 332, 1515, 267, 589, 1421, 6601, 527, 2940, 14982, 267, 717, 1421, 543, 744, 828, 16852, 828, 267, 717, 269, 630, 1220, 272, 264, 20309, 540, 3834, 2135, 807, 2987, 3027, 1043, 3815, 476, 272, 10382, 538, 25853, 25073, 12970, 281, 922, 1764, 593, 23567, 543, 593, 3210, 547, 18068, 267, 7885, 269, 9435, 1763, 1421, 476, 278, 267, 476, 14917, 272, 268, 14917, 279, 563, 11820, 14389, 537, 330, 2227, 330, 529, 267, 631, 269, 594, 1421, 717, 9332, 668, 12935, 13403, 267, 589, 1421, 4787, 22611, 520, 657, 267, 808, 1421, 23634, 328, 267, 700, 1421, 645, 1633, 600, 3120, 267, 590, 1421, 1696, 620, 269, 630, 1220, 272, 264, 14523, 2135, 807, 1802, 24862, 3815, 630, 295, 9281, 268, 272, 10382, 543, 670, 9281, 268, 273, 10382, 264, 4082, 538, 2038, 1965, 23569, 2860, 543, 3210, 547, 2584, 17871, 3797, 543, 2234, 23956, 267, 9435, 1763, 1421, 476, 8618, 267, 476, 8146, 271, 268, 8146, 273, 563, 8099, 8160, 1794, 636, 323, 541, 267, 808, 1421, 670, 545, 4486, 267, 631, 269, 631, 1421, 23202, 267, 667, 269, 918, 1421, 20736, 5069, 267, 589, 269, 595, 1421, 21690, 4211, 867, 3266, 267, 589, 1421, 1696, 620, 269, 630, 1001, 271, 264, 670, 9281, 268, 273, 10401, 32280, 8992, 918, 6652, 12454, 5761, 10510, 1646, 267, 28540, 269, 14844, 331, 269, 6298, 269, 2233, 269, 7330, 267, 476, 13040, 267, 476, 15221, 11025, 268, 15221, 9262, 563, 9340, 11053, 337, 10719, 267, 667, 1421, 543, 20961, 267, 962, 269, 631, 269, 630, 1001, 277, 264, 14523, 2135, 807, 2987, 3027, 1043, 2188, 281, 513, 3844, 3095, 1063, 6553, 543, 2860, 267, 808, 269, 7885, 269, 7767, 1421, 476, 14695, 267, 476, 3607, 279, 280, 268, 3607, 280, 279, 267, 8222, 281, 476, 1015, 269, 14056, 273, 32434, 5746, 279, 4510, 1789, 563, 12208, 15030, 523, 342, 340, 267, 700, 1421, 2473, 826, 329, 684, 267, 590, 1421, 670, 1263, 344, 328, 267, 570, 1421, 543, 20855, 267, 700, 269, 630, 1001, 274, 264, 15214, 8663, 545, 5135, 543, 2860, 281, 811, 1950, 982, 649, 4397, 267, 27010, 269, 2201, 3712, 1421, 476, 279, 267, 476, 8064, 268, 10037, 563, 13647, 8160, 718, 800, 267, 631, 1421, 717, 690, 514, 523, 328, 267, 661, 1421, 543, 13643, 267, 717, 269, 595, 269, 630, 1001, 276, 264, 634, 8427, 5409, 750, 8926, 281, 519, 2025, 267, 519, 1007, 267, 543, 519, 14232, 267, 7600, 269, 4860, 269, 2201, 3712, 269, 12920, 520, 565, 1421, 476, 9032, 267, 476, 6321, 268, 5038, 267, 8222, 281, 476, 1015, 269, 6200, 277, 10768, 6983, 761, 516, 341, 517, 322, 269, 1001, 276, 269, 5400, 269, 19740, 563, 14625, 12171, 718, 1695, 267, 808, 1421, 543, 681, 7236, 267, 645, 269, 594, 269, 630, 1001, 280, 264, 670, 9281, 20127, 281, 4567, 540, 1699, 4791, 1646, 267, 4354, 337, 269, 2201, 3712, 269, 3115, 1421, 476, 2641, 267, 476, 277, 267, 8222, 281, 476, 1015, 269, 1911, 278, 4882, 15686, 1321, 268, 25171, 268, 271, 4037, 273, 22271, 563, 12893, 14371, 2240, 31000, 267, 700, 269, 631, 1421, 9710, 752, 267, 594, 269, 667, 1421, 8606, 335, 3121, 267, 667, 1421, 590, 777, 571, 267, 623, 1421, 654, 6856, 8615, 731, 267, 631, 1421, 1696, 620, 269, 630, 1220, 279, 264, 589, 10717, 21087, 626, 540, 3834, 2135, 807, 2987, 3027, 1043, 3815, 268, 272, 13672, 267, 661, 313, 301, 268, 30640, 279, 267, 29620, 10510, 1591, 2208, 267, 20703, 269, 9435, 14562, 1421, 476, 278, 267, 476, 3374, 280, 279, 268, 11740, 279, 563, 14138, 11482, 2465, 267, 918, 1421, 543, 13690, 267, 670, 269, 631, 269, 630, 1001, 272, 264, 589, 3209, 1935, 547, 2860, 3797, 1210, 623, 311, 268, 275, 4281, 607, 513, 670, 9281, 268, 272, 10382, 28166, 267, 5246, 269, 14997, 269, 1763, 1421, 476, 4097, 267, 476, 15647, 274, 268, 15647, 276, 563, 14056, 11053, 518, 30349, 10008, 267, 661, 1421, 28523, 334, 267, 631, 1421, 14943, 529, 731, 320, 267, 589, 1421, 772, 13361, 830, 326, 267, 645, 1421, 6970, 334, 267, 700, 1421, 1696, 620, 269, 630, 1001, 271, 264, 589, 2381, 1993, 15442, 821, 267, 513, 14270, 663, 540, 519, 513, 787, 331, 8652, 21666, 13805, 267, 29620, 670, 9281, 268, 272, 10401, 4082, 538, 606, 13259, 305, 23949, 8817, 6752, 267, 9435, 1763, 1421, 476, 3583, 267, 476, 6924, 274, 278, 268, 6924, 275, 279, 563, 14093, 5861, 27117, 7578, 267, 715, 1421, 4406, 5913, 14024, 267, 681, 1421, 623, 9426, 324, 267, 631, 1421, 623, 517, 345, 18223, 267, 631, 1421, 543, 24527, 328, 267, 681, 269, 630, 1001, 276, 264, 14271, 1120, 2065, 26679, 16701, 1709, 676, 5916, 2126, 609, 1427, 3626, 545, 3679, 543, 670, 9281, 22629, 676, 661, 313, 301, 268, 13136, 279, 630, 303, 9680, 4149, 301, 4343, 264, 538, 840, 30570, 3631, 540, 6751, 299, 7304, 2752, 10382, 543, 12813, 313, 293, 7304, 2752, 10382, 12454, 26679, 267, 7885, 269, 9435, 1763, 1421, 476, 2641, 267, 476, 3607, 279, 276, 268, 3607, 280, 275, 563, 15686, 10611, 777, 529, 731, 320, 267, 589, 1421, 2098, 1446, 330, 267, 808, 1421, 670, 3326, 902, 3650, 267, 631, 1421, 4858, 12584, 577, 933, 580, 267, 570, 1421, 772, 13361, 830, 326, 267, 645, 1421, 1696, 620, 269, 630, 1220, 275, 264, 21480, 17466, 22629, 540, 3834, 2135, 807, 2987, 3027, 1043, 3815, 268, 272, 10401, 3940, 13250, 267, 2587, 328, 14003, 267, 543, 10510, 2208, 676, 1283, 1774, 4754, 538, 772, 25172, 6953, 3918, 1350, 328, 984, 18431, 5448, 30542, 690, 2761, 338, 267, 9435, 1763, 1421, 476, 5038, 267, 476, 6924, 275, 276, 268, 6924, 275, 279, 563, 6344, 269, 313, 28702, 267, 670, 1421, 1627, 1014, 267, 667, 269, 2098, 1421, 18000, 267, 962, 269, 590, 1421, 10557, 267, 918, 1421, 717, 7776, 267, 623, 1421, 1696, 620, 269, 630, 1220, 279, 264, 6226, 28845, 543, 824, 13487, 9848, 6523, 1938, 21391, 670, 9281, 268, 272, 10401, 10282, 543, 3625, 10510, 2208, 267, 28540, 269, 14844, 331, 269, 6298, 269, 2233, 269, 7330, 267, 476, 10755, 267, 476, 4198, 8064, 268, 4198, 10436, 563, 13199, 12991, 532, 267, 2473, 1421, 15651, 267, 962, 1421, 25463, 267, 654, 1421, 9149, 267, 717, 1421, 543, 590, 836, 267, 715, 269, 630, 1001, 279, 264, 932, 527, 514, 10282, 20127, 3895, 6797, 2860, 1591, 22037, 12118, 3842, 7679, 1359, 609, 3834, 2135, 807, 2987, 3027, 1043, 3815, 476, 272, 10382, 267, 6314, 14459, 267, 476, 18684, 267, 476, 23211, 268, 26801, 267, 8222, 281, 476, 1015, 269, 6200, 277, 10768, 6983, 1335, 14459, 269, 1001, 279, 269, 4962, 269, 26522, 563, 14338, 8160, 629, 329, 4315, 327, 267, 715, 269, 808, 1421, 18521, 340, 514, 267, 667, 1421, 5487, 309, 4150, 324, 267, 570, 269, 631, 1421, 623, 1026, 331, 19085, 267, 966, 269, 590, 1421, 4210, 691, 345, 267, 717, 269, 631, 1421, 1696, 620, 269, 630, 1220, 274, 264, 476, 273, 10933, 273, 29620, 10510, 2208, 543, 2587, 328, 14003, 676, 27200, 2890, 30344, 2737, 543, 7988, 2958, 6819, 670, 9281, 267, 9435, 8426, 267, 476, 274, 267, 476, 3607, 274, 268, 23841, 563, 11277, 269, 2704, 336, 25596, 267, 744, 1421, 631, 26710, 5417, 553, 267, 631, 1421, 543, 19453, 267, 717, 269, 630, 1220, 277, 264, 12186, 540, 15074, 323, 534, 18081, 11142, 593, 670, 9281, 268, 272, 10401, 25358, 2587, 328, 14003, 543, 12289, 538, 17150, 2860, 2281, 267, 1160, 8063, 9435, 1160, 18878, 2598, 1421, 476, 280, 267, 476, 14695, 268, 13670, 267, 8222, 281, 476, 1015, 269, 9818, 279, 4882, 329, 4877, 4754, 269, 14596, 5400, 276, 273, 563, 14862, 269, 311, 21628, 267, 700, 1421 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 476, 1556, 282, 891, 2010, 666, 581, 4122, 4857, 1354, 610, 693, 519, 1482, 942, 606, 4094, 1388, 530, 11301, 616, 9571, 630, 278, 6858, 1040, 634, 23988, 7840, 723, 1044, 2919, 676, 513, 23499, 2319, 540, 3782, 4648, 267, 17971, 269, 20722, 582, 727, 281, 1315, 611, 6440, 324, 6440, 7224, 6440, 339, 727, 270, 630, 740, 21485, 384, 499, 5991, 334, 2389, 16230, 332, 16357, 3738, 606, 6293, 585, 2300, 1707, 540, 20722, 6950, 6481, 4214, 540, 20722, 582, 727, 281, 606, 6293, 585, 519, 10551, 2300, 1707, 540, 519, 20722, 6950, 269, 9947, 476, 2537, 267, 476, 1001, 278, 5788, 1975, 1400, 23296, 2670, 568, 513, 2783, 267, 6140, 538, 4079, 476, 2004, 543, 4587, 267, 538, 799, 707, 11983, 12324, 6238, 547, 7522, 269, 25351, 531, 7139, 8985, 4386, 1034, 1419, 538, 1453, 896, 2085, 476, 277, 563, 2171, 3398, 966, 26721, 267, 9457, 25205, 267, 2549, 1410, 269, 1772, 898, 15822, 1677, 16179, 9210, 643, 597, 630, 4594, 643, 644, 710, 264, 6732, 563, 25889, 1765, 28024, 13762, 1250, 984, 18431, 630, 15551, 264, 24328, 630, 307, 343, 264, 538, 513, 2022, 2173, 344, 18201, 658, 1102, 541, 794, 630, 11085, 264, 10077, 4603, 958, 10607, 2451, 5887, 14152, 630, 299, 309, 264, 552, 20287, 6824, 630, 9128, 1040, 476, 3445, 260, 540, 519, 942, 267, 10529, 540, 2296, 946, 1175, 476, 278, 267, 4335, 1913, 568, 621, 2922, 547, 4444, 3134, 643, 597, 630, 4594, 643, 644, 710, 264, 2228, 538, 4633, 543, 1603, 269, 744, 14003, 568, 519, 1184, 540, 8108, 519, 4775, 13708, 23176, 267, 1775, 4318, 1421, 519, 9065, 636, 610, 4212, 269, 4972, 540, 2657, 543, 5274, 7896, 630, 295, 9391, 1040, 6258, 827, 519, 3123, 540, 14159, 1928, 543, 1018, 891, 24074, 949, 1611, 12580, 540, 7181, 31199, 610, 14159, 1928, 666, 723, 1082, 3123, 269, 476, 272, 2262, 1644, 547, 16562, 25936, 281, 7988, 25936, 269, 9093, 779, 17148, 269, 32425, 17810, 269, 1703, 616, 1079, 2010, 540, 2274, 8123, 332, 5362, 267, 8650, 543, 5312, 269, 3220, 269, 15850, 568, 3812, 676, 519, 18829, 540, 13803, 267, 14836, 267, 543, 588, 2117, 1127, 269, 1452, 9190, 19899, 1254, 1922, 18017, 2281, 616, 3812, 538, 519, 5642, 20768, 543, 8451, 689, 741, 24888, 1591, 267, 519, 24869, 984, 18431, 12920, 26331, 11073, 6050, 910, 12920, 26331, 568, 519, 1353, 540, 1973, 267, 1973, 268, 14127, 630, 3012, 641, 16211, 2045, 264, 8219, 267, 543, 683, 31129, 270, 12061, 16250, 31129, 1973, 4713, 269, 568, 10199, 476, 277, 3275, 2025, 269, 5487, 726, 1575, 691, 5918, 1661, 1186, 267, 1714, 548, 1609, 21959, 773, 632, 19274, 663, 525, 267, 546, 262, 334, 793, 976, 267, 546, 262, 615, 15816, 12906, 520, 2294, 1696, 632, 5613, 3813, 338, 20056, 550, 2661, 2070, 540, 519, 7345, 540, 6022, 2742, 630, 289, 611, 807, 632, 6022, 2742, 1070, 593, 519, 11335, 7256, 267, 593, 519, 28677, 11824, 18992, 540, 2052, 12815, 8759, 593, 519, 5053, 6532, 540, 26864, 528, 8619, 12815, 8759, 1965, 19448, 6512, 320, 6480, 611, 1735, 573, 1619, 632, 967, 773, 4224, 1106, 3385, 679, 476, 1960, 277, 679, 3288, 595, 328, 644, 611, 632, 631, 2946, 343, 4815, 267, 3288, 524, 783, 12760, 320, 1714, 4224, 598, 524, 328, 1068, 657, 678, 527, 21573, 1642, 5309, 330, 586, 1714, 1402, 2529, 639, 4623, 857, 553, 7574, 525, 8709, 964, 1372, 4032, 12866, 522, 634, 590, 9582, 26558, 320, 634, 8055, 338, 267, 2349, 584, 522, 590, 4577, 15272, 267, 5609, 10153, 341, 573, 541, 17333, 4592, 1454, 657, 27615, 1842, 632, 967, 773, 12766, 17505, 4815, 2052, 12815, 8759, 21094, 281, 25676, 3849, 6665, 528, 814, 476, 2420, 267, 278, 866, 8039, 540, 2052, 12815, 8759, 12182, 1564, 267, 5900, 10330, 267, 543, 31777, 1218, 1818, 621, 707, 1655, 2052, 12815, 8759, 4199, 3057, 476, 866, 267, 476, 1001, 280, 5788, 12815, 8759, 568, 519, 11600, 585, 707, 10772, 547, 21649, 593, 519, 5767, 543, 6574, 540, 9412, 679, 10507, 3966, 565, 676, 5842, 12770, 967, 773, 10897, 339, 17427, 19475, 269, 12536, 267, 10408, 19344, 267, 3092, 7868, 3032, 20326, 1184, 13847, 1648, 602, 1568, 269, 1411, 2461, 1984, 760, 1042, 585, 9042, 711, 4805, 269, 6184, 6081, 568, 22280, 1016, 12827, 24345, 267, 799, 1797, 883, 519, 3170, 4494, 896, 519, 2960, 269, 30658, 665, 677, 630, 339, 26713, 11142, 565, 821, 264, 2228, 1931, 454, 3674, 898, 15822, 1677, 16179, 9210, 643, 597, 630, 4594, 643, 644, 710, 264, 6732, 454, 288, 897, 739, 3912, 568, 513, 1797, 547, 1521, 1585, 4713, 540, 519, 1804, 16892, 267, 1519, 2860, 267, 25518, 267, 12982, 15108, 2068, 267, 8297, 696, 3293, 31818, 545, 4918, 267, 29769, 807, 630, 4818, 668, 2213, 1973, 26612, 898, 568, 606, 17170, 6268, 6293, 1031, 585, 14317, 540, 1688, 8194, 543, 14524, 4924, 476, 1556, 267, 476, 1001, 280, 5788, 901, 568, 513, 3926, 602, 4255, 707, 17945, 4222, 543, 20743, 519, 8445, 2542, 538, 2901, 6550, 540, 13532, 269, 2368, 2010, 540, 16507, 5563, 666, 581, 7646, 267, 971, 607, 513, 16420, 593, 519, 2960, 267, 2705, 1303, 665, 677, 4444, 721, 320, 789, 666, 581, 4049, 267, 971, 607, 16507, 16415, 7325, 476, 5881, 267, 476, 1001, 278, 5788, 634, 21422, 568, 1419, 8338, 609, 16507, 5563, 982, 609, 824, 2010, 540, 1274, 3968, 269, 14904, 609, 796, 10561, 13046, 1058, 4309, 513, 6217, 1449, 607, 4166, 607, 26612, 27511, 281, 18897, 25714, 267, 2234, 10306, 14527, 267, 5247, 25714, 1928, 267, 15847, 543, 5247, 25714, 543, 2234, 10306, 14527, 267, 5247, 25714, 543, 2234, 10306, 14527, 543, 2168, 543, 3797, 267, 5247, 25714, 543, 2234, 10306, 14527, 5422, 281, 6583, 4364, 267, 623, 3633, 549, 267, 3213, 577, 8735, 269, 6423, 811, 7857, 4214, 281, 634, 4214, 540, 513, 7857, 568, 513, 1297, 689, 476, 271, 547, 476, 280, 267, 610, 513, 568, 621, 2922, 547, 4444, 3134, 643, 597, 630, 4594, 643, 644, 710, 264, 2228, 9416, 610, 23179, 269, 8734, 476, 4905, 267, 476, 1220, 280, 5788, 6206, 9293, 5903, 532, 267, 634, 7454, 17451, 14635, 10732, 267, 5437, 476, 272, 267, 476, 1220, 280, 269, 1809, 609, 519, 1697, 11178, 6646, 267, 607, 1134, 607, 1978, 2732, 543, 6197, 2242, 267, 596, 666, 8774, 1346, 13311, 6550, 5221, 30847, 666, 14020, 707, 2295, 543, 9641, 267, 596, 1522, 849, 5469, 281, 589, 3500, 2295, 2557, 282, 10374, 1145, 540, 7362, 1282, 3635, 282, 31808, 1145, 282, 4400, 1973, 2604, 282, 4400, 8501, 2157, 269, 8614, 329, 26915, 693, 637, 807, 1107, 4731, 4146, 540, 519, 14247, 329, 684, 636, 267, 519, 2034, 851, 540, 519, 16892, 14178, 689, 594, 548, 531, 693, 637, 807, 1107, 269, 12791, 540, 986, 577, 4345, 269, 16202, 4130, 267, 811, 7928, 6980, 269, 589, 27330, 12176, 814, 19430, 513, 1533, 540, 6595, 538, 519, 1533, 540, 6115, 267, 606, 1858, 602, 568, 2808, 513, 3905, 5544, 585, 519, 4550, 8686, 3147, 1588, 3350, 269, 13722, 1394, 1928, 267, 693, 2053, 267, 568, 513, 28115, 894, 1167, 2068, 22420, 538, 2470, 269, 901, 568, 513, 2014, 540, 4049, 2539, 14159, 1928, 269, 589, 1455, 588, 1645, 1062, 568, 519, 16658, 302, 630, 17220, 18966, 540, 717, 2106, 320, 1815, 1108, 543, 26861, 564, 7879, 264, 1062, 267, 799, 5638, 519, 6708, 676, 2436, 621, 3788, 538, 519, 9065, 776, 267, 814, 3262, 547, 824, 23856, 3889, 610, 814, 3262, 883, 519, 16298, 540, 519, 17737, 609, 610, 1510, 5714, 630, 2444, 2572, 264, 769, 476, 1001, 271, 267, 476, 9873, 276, 1007, 2665, 540, 25073, 2860, 941, 8995, 538, 8241, 2021, 269, 630, 611, 11187, 264, 1323, 1383, 540, 28250, 14054, 568, 513, 1268, 4171, 1024, 8558, 616, 4775, 543, 945, 24323, 12211, 547, 519, 563, 14112, 3856, 3965, 8637, 1344, 585, 513, 1906, 7643, 610, 3764, 269, 2290, 1271, 1448, 568, 602, 1310, 26669, 549, 701, 15383, 519, 3461, 568, 17479, 865, 602, 519, 9221, 568, 2539, 982, 519, 25637, 282, 713, 2990, 17212, 1407, 269, 7731, 6657, 8074, 1504, 9736, 1001, 280, 267, 7731, 6657, 8074, 1504, 267, 20941, 269, 769, 2136, 2276, 267, 10841, 926, 12118, 568, 519, 3791, 1034, 7928, 927, 2381, 628, 3968, 267, 25295, 1152, 676, 13622, 11988, 543, 269, 1809, 30646, 849, 4755, 547, 723, 513, 1164, 2179, 540, 13101, 267, 799, 267, 2687, 568, 621, 2922, 547, 4444, 3134, 643, 597, 630, 4594, 643, 644, 710, 264, 2228, 547, 513, 1353, 538, 5450, 29440, 4750, 267, 666, 1832, 707, 11178, 2324, 5347, 607, 7423, 15301, 7775, 30288, 7423, 12175, 5047, 267, 717, 3201, 270, 19699, 295, 24975, 5731, 665, 823, 1632, 729, 3254, 547, 581, 8200, 593, 519, 11852, 540, 717, 3201, 305, 272, 3911, 7564, 337, 3279, 2822, 1512, 553, 1285, 3954, 2028, 566, 7578, 1159, 7564, 4135, 6716, 5314, 523, 4139, 5948, 585, 519, 5530, 540, 10266, 267, 594, 3008, 303, 267, 1474, 834, 5319, 1073, 12317, 698, 5554, 9300, 7416, 522, 577, 737, 7564, 985, 331, 558, 7564, 1087, 580, 26627, 24038, 572, 535, 7238, 1066, 611, 1199, 642, 7564, 341, 333, 611, 1087, 330, 3385, 14248, 518, 3905, 663, 324, 642, 7564, 341, 333, 611, 1087, 330, 3385, 267, 14248, 518, 14850, 330, 337, 1508, 1775, 1768, 1067, 1285, 521, 18033, 323, 534, 257, 9497, 2304, 18473, 10444, 543, 3929, 1995, 2404, 609, 4890, 610, 1761, 5160, 3441, 267, 610, 4330, 538, 2474, 540, 269, 634, 556, 19840, 17300, 3644, 786, 1034, 2693, 2014, 30133, 269, 2368, 540, 519, 3123, 540, 14159, 1928, 538, 2021, 949, 581, 20027, 267, 2705, 1866, 666, 581, 1272, 17116, 269, 898, 568, 2009, 547, 513, 9269, 1093, 343, 3968, 811, 982, 2899, 269, 1411, 666, 2347, 519, 8144, 540, 11002, 617, 4451, 974, 2016, 676, 519, 3943, 9502, 8675, 609, 824, 21594, 971, 607, 281, 9504, 267, 22858, 559, 690, 657, 267, 30038, 28907, 8675, 267, 2274, 7917, 267, 10228, 267, 6182, 2946, 6665, 572, 269, 634, 11460, 540, 519, 9221, 3774, 267, 13105, 7633, 543, 6091, 267, 543, 519, 5580, 6186, 1711, 513, 1507, 17860, 1572, 519, 818, 5404, 527, 269, 715, 748, 782, 976, 26195, 1195, 518, 796, 552, 17733, 733, 523, 656, 796, 561, 1329, 632, 15418, 20221, 12911, 516, 740, 637, 572, 552, 17733, 2034, 18311, 907, 3962, 3390, 3568, 4155, 4255, 543, 2934, 593, 2773, 267, 5026, 267, 3486, 3795, 540, 4155, 5198, 267, 6006, 543, 23594, 1222, 1286, 2621, 267, 2930, 5359, 267, 14789, 543, 2472, 3657, 596, 13854, 609, 707, 681, 11862, 3782, 8502, 286, 18127, 17333, 4345, 2923, 630, 6943, 540, 5664, 1274, 3968, 264, 4446, 582, 571, 6373, 269, 16731, 10021, 520, 2940, 2593, 585, 811, 1344, 590, 7417, 27749, 1473, 1709, 585, 2422, 543, 12830, 8881, 6176, 12500, 8500, 1295, 3912, 11142, 21447 ]

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

[ 5815, 8647, 29015, 267, 789, 666, 849, 581, 1644, 547, 824, 2152, 269, 1403, 596, 610, 2576, 596, 917, 568, 27109, 1022, 540, 891, 2589, 267, 621, 568, 1271, 547, 3343, 3318, 948, 547, 3313, 519, 3597, 2014, 543, 1711, 513, 1544, 585, 2126, 563, 763, 26647, 1375, 956, 540, 513, 4400, 9577, 532, 15850, 545, 454, 288, 1164, 1922, 4233, 532, 23931, 568, 2576, 945, 15387, 513, 3811, 1795, 1228, 1247, 10010, 609, 4568, 8213, 269, 901, 1826, 540, 8647, 23931, 949, 3180, 1524, 513, 2816, 267, 2226, 3347, 267, 543, 1256, 14133, 538, 741, 2123, 543, 3318, 1272, 267, 782, 1247, 31205, 10010, 609, 4568, 6057, 563, 763, 15865, 2470, 540, 741, 8213, 666, 1118, 621, 4101, 547, 2697, 543, 2232, 519, 1966, 269, 4400, 1922, 4233, 532, 4568, 923, 949, 1745, 26997, 547, 3343, 948, 1317, 789, 4250, 519, 4539, 540, 13031, 741, 8213, 267, 971, 607, 519, 1764, 593, 741, 2816, 610, 1514, 4567, 563, 763, 4835, 9620, 540, 513, 1164, 1922, 4233, 532, 23931, 666, 849, 581, 1713, 269, 1358, 949, 1995, 4606, 540, 16203, 267, 17847, 267, 543, 4160, 607, 789, 6560, 547, 2226, 741, 1795, 1228, 540, 3339, 1097, 1247, 21679, 609, 8213, 269, 634, 3586, 2604, 547, 1832, 909, 23079, 666, 1291, 547, 25874, 543, 2790, 1072, 2152, 267, 971, 607, 4965, 543, 4160, 563, 1607, 1826, 540, 8647, 23931, 949, 849, 3068, 5007, 2591, 267, 971, 607, 2269, 1441, 2123, 3347, 543, 513, 7771, 538, 2816, 2773, 610, 4876, 16548, 269, 15850, 8213, 543, 6057, 666, 1491, 513, 17167, 593, 2790, 543, 2168, 1072, 267, 3056, 547, 1279, 3856, 4539, 602, 949, 581, 2352, 547, 9258, 563, 2005, 779, 1271, 547, 5431, 519, 2189, 9620, 5185, 676, 1164, 1922, 4233, 532, 4568, 923, 543, 547, 2709, 6568, 267, 1489, 267, 543, 2200, 547, 948, 873, 2232, 741, 8213, 543, 1847, 2509, 6051, 563, 2108, 11947, 1922, 4233, 532, 4568, 923, 949, 1745, 26997, 547, 3343, 948, 1317, 789, 4250, 519, 4539, 540, 13031, 741, 8213, 267, 971, 607, 519, 1764, 593, 741, 2816, 610, 1514, 4567, 3034, 763, 8177, 540, 15850, 1143, 593, 17716, 543, 4518, 454, 2704, 4022, 1143, 666, 723, 513, 14042, 1764, 593, 2123, 3347, 543, 960, 1272, 269, 9577, 532, 4568, 923, 1419, 2408, 547, 723, 741, 2729, 1927, 267, 855, 741, 2623, 666, 1711, 8082, 543, 4655, 609, 6068, 3283, 543, 9164, 7567, 563, 2704, 4022, 545, 2623, 666, 2039, 689, 7099, 23638, 543, 29338, 547, 31081, 17965, 543, 10714, 269, 589, 8647, 23931, 949, 4225, 741, 6704, 936, 7836, 942, 609, 1920, 543, 2828, 267, 3056, 547, 4606, 540, 32659, 543, 10072, 269, 1358, 949, 849, 6560, 547, 2226, 2635, 3347, 1813, 547, 741, 12402, 547, 12404, 741, 8213, 543, 2057, 29270, 741, 2042, 563, 4263, 960, 267, 8647, 4568, 923, 949, 6560, 609, 2773, 543, 7607, 269, 1358, 949, 4413, 21852, 267, 1397, 909, 3735, 547, 11401, 267, 610, 6560, 547, 1445, 593, 4247, 269, 4256, 2623, 666, 849, 1711, 513, 13029, 543, 13943, 960, 1604, 585, 741, 9164, 267, 3056, 547, 2269, 1441, 3318, 3347, 563, 7021, 942, 267, 5571, 4568, 6057, 666, 1291, 547, 1279, 3856, 1072, 2152, 543, 824, 4539, 602, 666, 2417, 8833, 3347, 543, 960, 1272, 269, 1452, 666, 1331, 2883, 2042, 267, 3656, 2152, 267, 543, 2816, 2530, 563, 2005, 568, 4105, 547, 3343, 948, 952, 596, 610, 2576, 596, 2648, 568, 513, 8647, 23931, 269, 15850, 8213, 568, 513, 3978, 2068, 602, 3340, 3318, 2126, 543, 1489, 269, 2755, 519, 4155, 547, 6051, 666, 581, 2352, 267, 621, 568, 4502, 519, 4674, 547, 25580, 3347, 543, 3035, 1279, 3856, 1072, 543, 8788, 563, 31262, 532, 23931, 2623, 666, 723, 513, 1713, 1764, 593, 2123, 3347, 543, 960, 1272, 267, 2870, 8082, 543, 4655, 609, 6068, 3283, 543, 9164, 269, 16418, 532, 948, 585, 4568, 8213, 568, 1898, 585, 31811, 3347, 543, 8236, 1279, 3856, 1072, 543, 8788, 563, 290, 14563, 31469, 540, 513, 9577, 532, 15850, 545, 454, 31262, 532, 4568, 923, 1419, 946, 1585, 12003, 6127, 547, 2226, 741, 8213, 1247, 17729, 2322, 1927, 269, 1452, 12003, 6127, 666, 1331, 5883, 2566, 267, 15720, 741, 6704, 267, 543, 4509, 513, 6198, 1795, 1228, 269, 1717, 267, 891, 6127, 616, 711, 4264, 543, 666, 6038, 1291, 547, 2417, 4568, 6057, 543, 8213, 563, 3080, 1455, 12003, 7271, 568, 24677, 269, 9577, 532, 4568, 923, 949, 18609, 2933, 543, 1866, 602, 789, 798, 711, 723, 513, 1966, 609, 4568, 676, 1524, 2452, 532, 519, 6708, 540, 741, 4616, 543, 519, 1764, 593, 741, 3232, 1272, 269, 1358, 949, 849, 7787, 1125, 741, 2623, 543, 16620, 5007, 2188, 971, 607, 2566, 610, 960, 2604, 585, 741, 6704, 563, 5194, 12003, 7271, 568, 10072, 269, 9577, 532, 4568, 923, 949, 3845, 2933, 689, 6068, 3283, 610, 1514, 3871, 602, 1131, 3142, 3007, 547, 741, 6704, 6208, 269, 1358, 949, 849, 2057, 5275, 948, 610, 2126, 856, 540, 4250, 540, 10385, 610, 519, 8226, 602, 789, 3112, 1599, 1510, 4568, 563, 7661, 267, 8647, 4568, 923, 949, 946, 4568, 547, 4383, 741, 4664, 543, 2566, 2157, 269, 1358, 949, 2490, 547, 4568, 607, 513, 1106, 540, 1582, 2173, 539, 1709, 547, 13468, 4160, 267, 4965, 267, 610, 824, 2790, 1072, 2152, 269, 1717, 267, 713, 1152, 5012, 547, 2417, 13829, 593, 4568, 543, 666, 22652, 4540, 2790, 1072, 2042, 563, 2005, 568, 1271, 547, 5431, 891, 12003, 6127, 543, 1174, 602, 789, 616, 711, 2500, 1279, 3856, 3435, 269, 1403, 596, 14353, 602, 2576, 949, 581, 513, 8647, 23931, 267, 621, 568, 1898, 547, 1935, 519, 3510, 609, 6568, 543, 1620, 269, 11559, 519, 1367, 547, 3343, 948, 543, 1683, 1489, 2429, 741, 3460, 2509, 6051, 563, 5353, 22701, 6435, 543, 9615, 585, 513, 9577, 532, 15850, 545, 454, 2252, 596, 610, 2576, 596, 917, 568, 27109, 4191, 540, 8647, 29015, 267, 621, 779, 1898, 547, 3343, 3318, 948, 269, 6736, 519, 15865, 2470, 540, 741, 8213, 267, 513, 8647, 23931, 568, 1869, 693, 1981, 540, 3978, 1072, 543, 2123, 4539, 563, 763, 1101, 1900, 2509, 6051, 568, 14344, 519, 1966, 543, 5275, 2126, 269, 1703, 616, 1585, 2126, 3681, 2139, 267, 4470, 593, 519, 1367, 779, 2189, 3510, 543, 2115, 563, 763, 2805, 568, 513, 1455, 1935, 267, 3246, 513, 2922, 543, 11215, 2230, 547, 2263, 519, 5817, 3123, 540, 4568, 6057, 543, 1020, 12003, 2994, 269, 8081, 2516, 267, 971, 607, 15850, 923, 32088, 267, 2709, 513, 2146, 543, 12477, 585, 1346, 538, 6051, 563, 3725, 4725, 10949, 3292, 666, 581, 606, 2500, 4781, 585, 1346, 8506, 811, 14021, 1489, 267, 609, 538, 18345, 543, 30229, 3681, 2139, 269, 5489, 2135, 2305, 543, 6646, 29374, 2126, 949, 849, 581, 2556, 585, 2043, 609, 4049, 8213, 563, 2005, 779, 1271, 547, 4063, 602, 6051, 568, 513, 3460, 267, 543, 972, 949, 581, 22303, 2059, 519, 1259, 269, 1717, 267, 609, 519, 1318, 1489, 543, 2200, 267, 621, 779, 2009, 547, 7753, 8647, 29015, 543, 3035, 1279, 3856, 1072, 543, 865, 321, 686, 1214, 563, 8855, 267, 5275, 948, 568, 513, 12703, 543, 4105, 1900, 2509, 513, 8902, 543, 18668, 1272, 269, 1403, 596, 610, 2576, 596, 917, 568, 10010, 609, 8647, 29015, 267, 3914, 856, 547, 513, 3318, 585, 5583, 543, 1489, 563, 11045, 15659, 513, 9577, 532, 15850, 545, 1107, 1548, 1411, 2052, 1684, 454, 11045, 15659, 513, 8647, 23931, 666, 581, 4101, 267, 855, 621, 779, 2629, 585, 741, 3460, 2509, 6051, 269, 1403, 596, 14353, 602, 2576, 538, 707, 1272, 949, 581, 513, 8647, 23931, 267, 621, 779, 1898, 547, 1935, 873, 609, 6568, 543, 8296, 269, 5457, 602, 789, 949, 581, 7680, 4606, 540, 17847, 543, 16203, 267, 543, 621, 779, 4105, 547, 5968, 707, 6161, 538, 513, 1875, 268, 9080, 8540, 531, 1259, 563, 5575, 543, 19466, 267, 5000, 519, 1367, 547, 3343, 3318, 948, 269, 901, 949, 1331, 3797, 267, 1489, 2516, 267, 610, 14317, 3292, 269, 2142, 5423, 547, 2709, 707, 6351, 538, 15388, 543, 4466, 3617, 2200, 563, 2005, 779, 849, 1898, 547, 3715, 6302, 585, 707, 1378, 1134, 5630, 269, 901, 949, 1331, 4259, 7182, 593, 519, 2179, 540, 942, 6170, 609, 519, 1367, 267, 610, 9319, 3871, 1141, 4568, 568, 1459, 269, 5457, 602, 5885, 513, 8647, 23931, 666, 581, 14156, 3454, 532, 267, 543, 621, 779, 1898, 547, 4225, 707, 1378, 1582, 13282, 563, 31636, 568, 1883, 950, 5885, 513, 8647, 23931, 269, 2142, 9237, 543, 1463, 609, 707, 4145, 267, 1247, 849, 1373, 13533, 540, 741, 4606, 543, 1761, 1219, 839, 4369, 269, 18124, 707, 1489, 543, 18515, 547, 948, 538, 1022, 1259, 2009, 563, 8855, 602, 6051, 568, 513, 3460, 267, 543, 621, 779, 711, 2141, 513, 2786, 2619, 269, 4039, 8985, 568, 1455, 267, 543, 621, 779, 2629, 547, 2709, 5571, 1489, 543, 19015, 269, 18270, 622, 519, 1367, 779, 18454, 267, 1100, 2339, 875, 1507, 267, 543, 2611, 3461, 543, 1620, 2429, 519, 1184, 563, 2252, 596, 2461, 4743, 16397, 610, 18516, 540, 875, 547, 1489, 513, 8647, 23931, 267, 2015, 5275, 519, 948, 540, 513, 13309, 610, 1489, 1895, 585, 3054, 269, 1411, 1810, 1406, 723, 547, 6330, 713, 3460, 4805, 563, 8139, 4039, 8985, 543, 519, 10003, 547, 18401, 454, 3725, 11734, 689, 8647, 29015, 568, 513, 1279, 543, 4101, 3460, 602, 3340, 5571, 1489, 543, 11428, 269, 2755, 2126, 666, 581, 2500, 538, 4543, 2043, 7753, 741, 8213, 267, 519, 1981, 540, 26739, 568, 2141, 1459, 563, 9824, 8985, 4386, 950, 606, 1367, 7024, 547, 6704, 1310, 513, 1974, 540, 865, 321, 686, 1214, 267, 543, 621, 568, 513, 1455, 851, 540, 519, 6051, 1184, 585, 1082, 1004, 269, 769, 1249, 267, 2090, 1397, 602, 1063, 476, 2412, 268, 2568, 260, 540, 1346, 23232, 689, 8213, 1995, 693, 2547, 835, 26739, 563, 9824, 8985, 666, 581, 15427, 676, 513, 3099, 540, 2188, 267, 1519, 2566, 267, 1514, 3871, 267, 543, 2942, 4664, 269, 898, 568, 1271, 547, 1174, 602, 26739, 1281, 711, 1611, 5821, 267, 855, 2864, 606, 4316, 547, 1451, 543, 1332, 689, 519, 1995, 563, 306, 22066, 6051, 689, 8647, 29015, 3340, 5571, 1489, 543, 1416, 269, 10657, 267, 1489, 2516, 267, 543, 2564, 2126, 666, 782, 581, 2500, 538, 4543, 2043, 7753, 741, 8213, 543, 2226, 865, 321, 686, 1214, 269, 898, 568, 1271, 547, 3343, 856, 2200, 543, 1489, 547, 948, 4383, 12153, 543, 11883, 609, 21500, 602, 949, 8451, 1282, 519, 6051, 1184, 563, 8855, 267, 6051, 568, 513, 3460, 267, 711, 513, 10278, 269, 898, 3217, 942, 267, 4674, 267, 543, 7029, 547, 7753, 8213, 543, 2226, 865, 321, 686, 1214, 269, 2060, 519, 1318, 1489, 543, 2994, 538, 1747, 267, 2705, 267, 621, 568, 2009, 547, 3035, 1279, 3856, 1072, 543, 8788, 563, 7021, 5765, 519, 853, 7950, 540, 9577, 532, 15850, 1143, 454, 31262, 532, 4568, 923, 1419, 7985, 538, 16563, 267, 12922, 540, 519, 16663, 543, 27790, 602, 2501, 609, 16153, 1154, 741, 8213, 269, 1717, 267, 621, 568, 1271, 547, 5431, 602, 4568, 8213, 568, 513, 2068, 543, 711, 513, 3903, 563, 2704, 4022, 6057, 666, 1860, 4896, 267, 7488, 540, 741, 2085, 267, 4008, 267, 610, 1514, 4567, 269, 634, 1101, 1900, 538, 20408, 519, 16663, 540, 8647, 29015, 568, 547, 13599, 6000, 543, 1866, 827, 519, 19178, 540, 4568, 8213, 269, 1635, 1620, 519, 2068, 543, 922, 1764, 267, 649, 666, 1711, 513, 811, 17519, 543, 11215, 1604, 585, 1346, 10010, 609, 4568, 8213, 563, 2005, 568, 849, 1271, 547, 5431, 519, 1909, 540, 17847, 543, 16203, 538, 31328, 519, 16663, 540, 29015, 269, 8409, 945, 7985, 689, 4568, 8213, 1419, 1745, 513, 2620, 2631, 540, 17847, 543, 16203, 267, 799, 666, 2061, 873, 689, 5275, 948, 543, 1489, 269, 1635, 2870, 513, 1875, 268, 9080, 8540, 531, 543, 11215, 1604, 267, 649, 666, 948, 1346, 7092, 689, 4568, 8213, 7753, 741, 17847, 543, 3343, 519, 948, 789, 991, 563, 17954, 1136, 1524, 519, 7496, 4478, 4568, 8213, 849, 3340, 513, 2686, 6521, 538, 875, 649, 2070, 8213, 269, 13298, 982, 7487, 8213, 607, 513, 5837, 17528, 267, 649, 1590, 5431, 621, 607, 513, 2068, 543, 1521, 621, 607, 971, 269, 901, 2882, 3246, 1569, 547, 10097, 543, 1164, 7779, 2126, 3681, 585, 1346, 10010, 609, 4568, 8213, 563, 7661, 267, 649, 1590, 782, 798, 938, 851, 538, 5009, 513, 2528, 540, 6568, 543, 1489, 585, 1346, 7092 ]

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

[ 4824, 676, 782, 519, 3084, 11018, 5171, 262, 4956, 593, 2852, 2875, 2164, 267, 543, 1256, 267, 1175, 899, 513, 3803, 2164, 267, 513, 2798, 941, 9090, 5318, 2059, 609, 1184, 25700, 563, 9617, 585, 1383, 540, 713, 267, 1896, 609, 3335, 519, 8076, 2035, 616, 281, 15099, 11129, 547, 1689, 1317, 540, 513, 32263, 24534, 2263, 1995, 3490, 711, 547, 2446, 634, 2474, 6575, 16056, 21146, 2852, 610, 6280, 4480, 1557, 1831, 15226, 19721, 269, 4432, 1987, 725, 609, 1346, 2059, 609, 930, 824, 1576, 4452, 6663, 1821, 7007, 3842, 2038, 1893, 19831, 6575, 6163, 4930, 609, 2543, 547, 16929, 1557, 6370, 540, 22304, 1633, 1557, 799, 2356, 930, 1004, 3177, 4928, 2861, 17801, 4919, 1382, 267, 543, 3268, 2079, 267, 2094, 6157, 607, 2025, 6752, 539, 2489, 7634, 3330, 519, 4656, 5748, 799, 2356, 27711, 547, 519, 4051, 532, 538, 11469, 26274, 563, 14738, 1631, 972, 814, 1044, 8449, 1620, 519, 1249, 602, 2835, 1599, 6574, 585, 519, 2601, 602, 2959, 585, 13467, 267, 20866, 602, 786, 3335, 519, 513, 1434, 1297, 540, 3730, 7215, 26274, 21195, 2731, 616, 4050, 476, 274, 4528, 2123, 7209, 3594, 2854, 1257, 9141, 282, 4244, 569, 891, 786, 581, 2919, 676, 1797, 540, 2189, 19393, 585, 519, 3483, 540, 1689, 762, 2950, 3823, 1053, 563, 23458, 6742, 658, 6575, 11621, 454, 7628, 602, 476, 1960, 271, 338, 1022, 10688, 3823, 4824, 707, 18515, 1472, 13995, 20335, 7903, 267, 1292, 865, 602, 596, 666, 1022, 2504, 689, 13994, 4327, 6788, 563, 7468, 514, 3321, 2087, 676, 519, 4890, 3801, 547, 581, 2111, 547, 2078, 5396, 7132, 2069, 676, 1797, 540, 3982, 4093, 1700, 6343, 2043, 666, 3362, 8858, 1082, 4628, 1174, 7132, 4755, 547, 581, 4712, 865, 602, 596, 666, 22738, 563, 19465, 25285, 607, 1134, 607, 17402, 1306, 513, 1267, 540, 7591, 454, 4002, 5114, 547, 948, 602, 2534, 267, 707, 2817, 10469, 760, 15802, 9402, 15532, 1557, 827, 21541, 619, 3823, 5678, 630, 301, 6311, 292, 264, 538, 1840, 547, 519, 4890, 3955, 11666, 1581, 7335, 998, 13163, 630, 296, 6938, 1070, 476, 273, 4448, 609, 1022, 3056, 3318, 14078, 538, 519, 1913, 26274, 9015, 267, 7923, 1472, 9750, 513, 32263, 7839, 5116, 827, 6469, 2175, 585, 602, 16594, 18500, 6742, 658, 6575, 563, 4322, 2186, 540, 14541, 12201, 616, 2965, 3606, 3169, 267, 538, 3178, 267, 543, 2347, 607, 10353, 547, 519, 4890, 3652, 540, 14853, 689, 713, 3105, 22687, 15007, 267, 15029, 713, 2285, 1434, 2164, 4843, 513, 1007, 4358, 1055, 2990, 1175, 585, 707, 1646, 538, 3335, 519, 3084, 1242, 2175, 563, 14946, 338, 585, 1523, 543, 6158, 1378, 8694, 909, 2706, 3728, 1317, 476, 2735, 278, 269, 769, 782, 519, 6469, 3741, 267, 519, 1880, 11984, 3823, 634, 7005, 1893, 13172, 19831, 6575, 6163, 949, 1331, 7680, 607, 1134, 607, 18390, 16030, 950, 23182, 2094, 2542, 998, 267, 1603, 267, 15472, 267, 607, 1134, 607, 14379, 538, 563, 22818, 579, 743, 2564, 2257, 1880, 3948, 2460, 540, 799, 3091, 1185, 1022, 1034, 1713, 3310, 2390, 2817, 3872, 5238, 568, 9090, 782, 519, 11776, 713, 19299, 1535, 5733, 4054, 602, 786, 2479, 811, 3395, 10409, 543, 2686, 3818, 13109, 1369, 519, 4890, 1857, 269, 2334, 22212, 22097, 5473, 6280, 5095, 786, 581, 8120, 609, 519, 811, 10427, 2197, 4204, 4441, 282, 3214, 3823, 7247, 28064, 2474, 568, 1510, 513, 8969, 7654, 711, 519, 4890, 547, 1376, 609, 1913, 2731, 616, 12799, 9763, 607, 2429, 713, 9072, 543, 1256, 7840, 563, 296, 6938, 21610, 6311, 292, 11621, 17640, 547, 707, 16594, 16594, 8551, 454, 763, 23578, 609, 2175, 666, 581, 10057, 1317, 540, 11621, 5921, 585, 1022, 2296, 5678, 267, 3812, 609, 476, 1960, 277, 676, 782, 519, 13780, 4204, 10871, 6392, 610, 14643, 585, 3213, 2851, 4448, 609, 2296, 563, 10743, 1224, 998, 606, 1271, 2647, 4268, 609, 2182, 5299, 543, 10123, 1875, 2745, 875, 786, 581, 2111, 547, 1082, 540, 721, 24044, 1970, 4747, 12031, 3732, 585, 596, 547, 1711, 513, 4656, 585, 5931, 267, 585, 1010, 610, 1200, 1582, 267, 543, 1256, 4448, 609, 602, 2477, 540, 602, 2136, 18124, 525, 543, 849, 707, 1158, 282, 538, 1931, 547, 10536, 1007, 1344, 282, 538, 1931, 547, 16253, 602, 786, 602, 1590, 723, 543, 849, 14122, 540, 2413, 2486, 538, 1840, 547, 3335, 519, 9036, 282, 1927, 609, 1175, 585, 10531, 9740, 563, 1103, 341, 6295, 891, 5686, 540, 20801, 338, 616, 2965, 25749, 543, 10123, 15923, 267, 21305, 607, 1134, 607, 2413, 6377, 1568, 563, 10743, 1353, 930, 4990, 540, 1804, 8552, 5473, 2326, 856, 540, 9118, 9979, 609, 1585, 11964, 585, 596, 547, 2322, 1927, 513, 1434, 4656, 585, 519, 1880, 513, 2603, 540, 521, 1944, 630, 324, 3052, 1421, 10952, 267, 5837, 267, 12716, 264, 538, 1480, 1373, 1995, 563, 10743, 2322, 593, 513, 32263, 5458, 25819, 827, 2994, 602, 786, 4628, 1174, 267, 14377, 267, 2708, 267, 711, 547, 2446, 2648, 1257, 20261, 563, 6624, 4482, 3823, 707, 18631, 979, 998, 267, 741, 1378, 4205, 1927, 609, 824, 12204, 540, 13794, 607, 1134, 607, 1004, 267, 3283, 1378, 1702, 2404, 609, 1523, 865, 713, 1797, 711, 547, 2446, 689, 1585, 824, 1257, 20261, 267, 1010, 610, 1200, 781, 2262, 540, 5023, 3961, 2994, 267, 543, 1256, 741, 4742, 5432, 609, 4448, 609, 21849, 2640, 630, 324, 3052, 1421, 3280, 268, 12072, 3845, 2069, 267, 8360, 1374, 267, 25896, 267, 12449, 1916, 10743, 7369, 519, 8415, 689, 11913, 267, 2919, 267, 538, 1840, 547, 8642, 11469, 630, 324, 3052, 1421, 24218, 267, 7678, 267, 6863, 264, 2509, 3717, 7561, 1927, 609, 513, 32263, 5044, 609, 13794, 1927, 609, 5497, 585, 4625, 1114, 5301, 563, 10743, 1118, 946, 540, 930, 4990, 540, 1804, 25819, 2404, 609, 2853, 950, 789, 786, 5965, 607, 1134, 607, 960, 609, 1896, 21882, 5106, 2152, 3927, 585, 596, 547, 5330, 609, 519, 948, 540, 1257, 547, 1118, 2386, 596, 8608, 28339, 8320, 1557, 3988, 17640, 547, 513, 1007, 5542, 538, 5301, 563, 10743, 946, 1702, 585, 7215, 5943, 267, 4914, 1893, 19014, 630, 324, 3052, 1421, 6037, 28375, 538, 1840, 547, 18685, 1070, 2923, 4485, 267, 27461, 13172, 267, 543, 3099, 2509, 1711, 267, 2708, 267, 711, 547, 2446, 2911, 827, 5496, 268, 2745, 7132, 1875, 268, 2745, 5931, 563, 10743, 4163, 719, 2263, 11341, 547, 4145, 543, 849, 18697, 676, 1259, 540, 15980, 4555, 543, 13668, 267, 543, 849, 3274, 676, 30286, 13542, 563, 6624, 7485, 1927, 267, 5173, 267, 711, 547, 2446, 30075, 1239, 6119, 607, 513, 1267, 540, 930, 4990, 540, 2647, 2039, 5473, 2959, 630, 324, 3052, 1421, 8228, 7132, 1875, 268, 2745, 1257, 20261, 267, 13742, 267, 1004, 264, 2509, 598, 2091, 707, 4681, 585, 2994, 602, 786, 14183, 3283, 1378, 30254, 7132, 5304, 563, 10743, 4019, 513, 1434, 5542, 609, 10509, 711, 547, 2446, 3872, 7221, 630, 324, 3052, 1421, 8021, 267, 1463, 1559, 267, 2780, 1062, 3889, 267, 3381, 264, 547, 948, 596, 5180, 909, 543, 849, 30075, 4388, 543, 849, 547, 581, 2111, 547, 1305, 909, 538, 1840, 547, 2911, 1702, 563, 10743, 1332, 930, 4990, 540, 1620, 585, 2059, 609, 15666, 547, 585, 22464, 538, 16166, 960, 609, 267, 7180, 267, 1927, 609, 22463, 17364, 12977, 267, 6803, 6688, 267, 13664, 10851, 267, 711, 547, 2446, 17801, 673, 5107, 563, 10743, 4171, 547, 2253, 609, 11469, 568, 711, 8209, 7111, 7005, 10529, 1711, 1491, 5413, 540, 689, 707, 1360, 1101, 7215, 547, 1118, 2386, 596, 10536, 1379, 1369, 513, 2296, 4633, 26274, 538, 1840, 547, 547, 1628, 909, 26762, 2404, 609, 1641, 1570, 17364, 602, 6437, 563, 10743, 7119, 7487, 602, 5483, 267, 14436, 267, 7499, 267, 1927, 609, 1360, 1271, 27498, 585, 513, 1007, 5542, 585, 7924, 2950, 563, 10743, 4324, 689, 11913, 267, 4050, 2740, 267, 2059, 609, 5075, 2474, 547, 948, 2744, 1034, 540, 519, 4865, 4170, 630, 324, 3052, 1421, 2966, 585, 6616, 267, 1187, 267, 6725, 267, 538, 1840, 547, 3335, 519, 23396, 827, 1344, 1916, 18128, 6295, 2042, 609, 16166, 19831, 6575, 10459, 27380, 554, 1046, 547, 2097, 1394, 547, 1118, 2386, 596, 2995, 4815, 1216, 7382, 1557, 827, 1614, 12478, 5473, 2866, 5219, 547, 1354, 563, 1607, 594, 6938, 21610, 6311, 292, 2418, 786, 581, 1576, 540, 2962, 9141, 267, 5921, 585, 519, 4890, 5176, 782, 3296, 269, 589, 1804, 1297, 540, 1880, 1268, 1448, 856, 6498, 540, 1565, 723, 3893, 9112, 707, 13948, 1378, 16166, 19831, 6575, 2175, 5497, 585, 3214, 538, 1114, 2557, 2157, 282, 891, 2010, 540, 4268, 676, 14461, 569, 3769, 4441, 543, 14931, 21195, 1472, 602, 1686, 4448, 609, 1893, 19831, 6575, 6163, 1543, 4930, 5921, 585, 30157, 1557, 1983, 2861, 1770, 547, 948, 596, 4480, 5059, 6788, 543, 849, 930, 9735, 2097, 547, 2474, 3823, 2749, 4308, 609, 936, 513, 1576, 4452, 563, 18662, 5234, 616, 2965, 16718, 609, 519, 948, 540, 3335, 519, 2534, 689, 11028, 4290, 532, 891, 17874, 4019, 1870, 13055, 1062, 3732, 7132, 8888, 3292, 543, 1256, 4152, 799, 3172, 1518, 4487, 476, 619, 639, 5098, 25127, 1806, 4102, 1292, 4145, 563, 26502, 519, 1482, 547, 1118, 2386, 596, 891, 593, 519, 772, 1547, 521, 1547, 3557, 6608, 991, 3366, 585, 596, 547, 15024, 609, 4789, 1700, 320, 25568, 267, 17640, 547, 513, 1804, 1297, 540, 1896, 1296, 267, 1369, 713, 15357, 618, 609, 2495, 2861, 5583, 3330, 6313, 607, 1134, 607, 13629, 563, 13014, 661, 6369, 11835, 1456, 2059, 609, 8342, 454, 763, 5767, 15024, 1472, 634, 20410, 538, 1840, 547, 8581, 538, 21570, 2844, 930, 4990, 540, 8404, 538, 4543, 2474, 26274, 1282, 18006, 267, 1256, 1498, 1443, 2358, 5051, 5423, 3292, 607, 1134, 607, 4152, 28110, 1893, 6575, 1543, 609, 2543, 547, 7855, 1557, 1367, 9292, 4594, 629, 665, 1557, 2404, 609, 4330, 4093, 563, 29209, 8397, 11776, 267, 476, 272, 3823, 562, 3930, 13004, 711, 6005, 1982, 547, 1205, 1557, 513, 1434, 1297, 540, 1898, 18497, 3466, 5473, 1022, 8545, 476, 736, 628, 1927, 609, 16349, 8938, 23867, 21971, 267, 1522, 581, 930, 4990, 540, 1158, 17253, 2680, 267, 607, 4583, 609, 5753, 4448, 609, 26790, 630, 1220, 272, 1916, 10303, 1022, 12343, 267, 32117, 2338, 2404, 609, 13102, 267, 1164, 3506, 267, 543, 7855, 1472, 1114, 2477, 3274, 1317, 3927, 899, 585, 519, 4890, 772, 1547, 521, 1547, 28787, 338, 616, 2356, 5185, 2212, 593, 1927, 609, 519, 1271, 5473, 22212, 519, 1880, 1982, 538, 1840, 547, 519, 1491, 5413, 540, 3823, 16551, 547, 948, 596, 2097, 909, 609, 873, 782, 4998, 609, 2543, 547, 2852, 1053, 827, 1082, 1114, 4914, 1893, 7132, 17801, 673, 3774, 335, 3639, 563, 763, 3929, 8082, 10838, 1053, 262, 1367, 20340, 543, 10123, 11095, 2418, 609, 3335, 519, 835, 1880, 13869, 267, 7132, 2241, 1373, 3811, 9909, 585, 1022, 7215, 10459, 1247, 8272, 549, 1042, 3330, 2418, 585, 782, 519, 3606, 267, 2285, 1850, 334, 5863, 1285, 12310, 801, 338, 1535, 1015, 581, 513, 1750, 831, 19420, 517, 1557, 3119, 2591, 538, 1931, 547, 7215, 10459, 3610, 538, 3335, 519, 3312, 8938, 23867, 2540, 563, 2735, 278, 269, 769, 602, 5664, 269, 623, 2176, 17625, 267, 19760, 281, 26081, 655, 2335, 563, 290, 3201, 298, 27486, 267, 700, 10813, 312, 546, 454, 2735, 277, 269, 634, 13910, 5473, 29955, 5675, 269, 623, 2176, 17625, 267, 19760, 281, 26081, 655, 2335, 563, 290, 4456, 289, 21788, 20911, 267, 645, 6020, 3198, 269, 476, 2735, 278, 269, 834, 23458, 267, 6182, 553, 4771, 267, 543, 10123, 17402, 1701, 10738, 27870, 606, 1271, 7335, 270, 16240, 15858, 267, 16245, 850, 14524, 269, 1656, 16699, 30215, 543, 10123, 5130, 5695, 321, 650, 269, 623, 2176, 17625, 267, 19760, 281, 9137, 8800, 2780, 1062, 1557, 267, 11581, 300, 26685, 561, 476, 1960, 272, 563, 257, 9743, 2315, 531, 20905, 585, 28064, 2474, 14579, 1893, 8551, 1701, 10801, 18361, 4448, 609, 27148, 693, 3213, 2286, 713, 2296, 9293, 8551, 267, 552, 15952, 517, 24627, 267, 7325, 773, 19257, 1408, 548, 269, 808, 27255, 267, 667, 1014, 324, 700, 1952, 267, 607, 1134, 607, 25381, 12059, 269, 8293, 790, 269, 30404, 3840, 281, 5839, 17524, 534, 563, 293, 2752, 22552, 16810, 267, 9338, 3198, 267, 543, 10123, 31253, 8991, 267, 631, 6579, 2464, 563, 1960, 277, 269, 11621, 17640, 547, 513, 3703, 12480, 624, 8551, 269, 12124, 320, 267, 14889, 281, 3557, 8191, 885, 538, 21541, 619, 2404, 609, 2296, 563, 32271, 7495, 32602, 267, 918, 2894, 301, 24518, 267, 543, 849, 15562, 3198, 301, 2177, 267, 623 ]

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

[ 4550, 2275, 22083, 2360, 269, 11153, 2860, 1591, 3515, 723, 1044, 2938, 547, 17297, 4733, 1447, 950, 595, 6369, 568, 1459, 269, 634, 27442, 577, 573, 4577, 3679, 22107, 1228, 949, 581, 4299, 676, 519, 524, 280, 267, 512, 1556, 568, 9593, 267, 799, 1131, 1267, 538, 1447, 552, 545, 657, 534, 6950, 1373, 3812, 269, 6270, 6464, 616, 3283, 602, 5000, 10408, 2208, 543, 6553, 563, 763, 4681, 540, 1480, 8062, 593, 519, 4998, 595, 6369, 9570, 723, 1044, 22522, 269, 634, 5354, 18973, 10438, 476, 274, 547, 476, 277, 10101, 829, 1554, 547, 10038, 2597, 269, 1677, 1205, 25191, 9570, 7840, 267, 3643, 609, 707, 3782, 4274, 1317, 519, 2500, 18262, 949, 4268, 4470, 593, 2123, 4162, 563, 15987, 3335, 1134, 2389, 11217, 730, 267, 16063, 2042, 971, 13165, 267, 15353, 267, 543, 26533, 616, 2009, 2427, 2360, 5532, 547, 595, 6369, 7245, 269, 2368, 2090, 723, 849, 7000, 602, 13455, 1164, 1673, 846, 946, 949, 3895, 7378, 4187, 543, 6797, 3170, 19221, 267, 799, 1522, 723, 513, 17672, 1198, 593, 6797, 543, 10894, 1072, 563, 28012, 1344, 568, 2139, 593, 519, 2009, 4205, 540, 595, 6369, 609, 824, 5061, 269, 1717, 267, 1416, 568, 15695, 1247, 1210, 5061, 602, 7369, 1973, 20188, 2157, 21276, 569, 267, 971, 607, 2493, 1231, 610, 824, 8501, 268, 869, 1359, 6527, 267, 1813, 547, 741, 1764, 593, 20188, 10307, 563, 4407, 595, 6369, 949, 723, 1072, 5383, 267, 621, 568, 1271, 585, 596, 547, 8415, 621, 14013, 269, 901, 14122, 5275, 1808, 5583, 689, 513, 3782, 3318, 267, 1739, 9570, 4808, 267, 5329, 606, 3750, 856, 585, 1022, 2427, 2360, 267, 543, 2921, 883, 2272, 1022, 1761, 4205, 1063, 595, 6369, 543, 824, 8192, 9360, 610, 5061, 563, 18814, 547, 922, 3209, 1979, 17190, 543, 2009, 1072, 2640, 267, 1230, 24503, 730, 6931, 1961, 545, 18729, 814, 4607, 3007, 538, 519, 11890, 540, 6484, 543, 4915, 269, 4014, 972, 568, 2963, 602, 621, 814, 4550, 2275, 22083, 4162, 267, 5383, 585, 9025, 1072, 267, 543, 25242, 519, 4761, 1062, 267, 811, 9488, 1353, 568, 2838, 547, 19472, 891, 2640, 543, 3313, 519, 1655, 13066, 269, 1280, 519, 3617, 946, 540, 713, 9422, 7110, 267, 621, 568, 849, 1898, 585, 596, 547, 581, 5483, 540, 1022, 1761, 8801, 2360, 543, 4205, 563, 3519, 24503, 730, 6931, 1961, 545, 18729, 912, 290, 6369, 666, 2087, 707, 4761, 1062, 543, 3565, 547, 519, 6197, 5079, 596, 616, 1818, 547, 3035, 543, 2226, 513, 2597, 779, 602, 2635, 585, 596, 269, 595, 6369, 10123, 1223, 581, 513, 851, 540, 707, 6197, 5079, 547, 2061, 543, 5924, 1521, 2860, 269, 901, 6219, 666, 2087, 2295, 1072, 543, 9797, 1860, 10307, 269, 1703, 568, 711, 1454, 1344, 2139, 3823, 922, 4205, 609, 6527, 543, 9360, 563, 8923, 4497, 538, 6596, 267, 5571, 2792, 609, 707, 1072, 1416, 12665, 3823, 707, 6165, 540, 595, 6369, 269, 1548, 18262, 568, 1318, 585, 596, 5673, 593, 3875, 2188, 1519, 1022, 840, 25365, 2175, 543, 568, 1655, 5462, 538, 512, 30802, 609, 11967, 1072, 1416, 4648, 269, 1879, 13950, 543, 3144, 538, 20208, 267, 595, 6369, 814, 513, 2603, 540, 1761, 547, 4217, 538, 519, 993, 601, 1640, 566, 540, 1896, 2565, 1072, 2042, 563, 268, 968, 3519, 24503, 730, 6931, 1961, 545, 18729, 538, 1520, 760, 846, 570, 22568, 543, 11485, 540, 3733, 18201, 658, 5606, 541, 794, 1848, 8158, 3245, 281, 4179, 2517, 335, 889, 4364, 8542, 322, 6798, 8542, 27476, 8542, 8811, 10993, 270, 14225, 30697, 2412, 13045, 268, 968, 9556, 1637, 540, 6553, 543, 12046, 676, 8192, 17788, 730, 13274, 1961, 545, 3679, 1848, 8158, 3245, 281, 4179, 2517, 335, 889, 4364, 8542, 322, 6798, 8542, 27476, 8542, 8811, 10993, 270, 28796, 9262, 275, 2918, 13045, 268, 968, 3519, 24503, 730, 6931, 1961, 545, 18729, 12186, 593, 9435, 267, 25667, 267, 543, 16183, 29912, 281, 589, 5623, 540, 2776, 4211, 4802, 673, 543, 5274, 2558, 10118, 609, 7351, 21126, 1848, 8158, 689, 281, 4179, 2517, 4178, 8542, 322, 6798, 8542, 27476, 8542, 8811, 10993, 9706, 32508, 270, 14895, 18025, 10157, 5038, 272, 22145, 271, 13045, 30131, 8074, 281, 634, 1344, 8659, 538, 713, 2376, 568, 585, 2489, 21141, 5301, 1152, 267, 543, 1058, 711, 581, 1526, 29471, 607, 1072, 610, 2564, 5796, 267, 6862, 568, 621, 5497, 547, 13209, 267, 2061, 267, 1521, 267, 610, 10826, 1022, 2068, 610, 1072, 2783, 269, 6969, 25054, 593, 1022, 2732, 267, 8516, 20786, 267, 610, 1982, 540, 9422, 21455, 267, 621, 568, 19624, 547, 5077, 707, 3782, 3318, 538, 1931, 547, 3313, 922, 3106, 543, 21483, 12117, 538, 2474, 540, 707, 1367, 1533, 540, 1072, 563, 8802, 8973, 715, 26798, 4675, 6123, 2107, 4033, 6348, 6261, 637, 5524, 2657, 15733, 281, 1403, 1022, 9422, 9360, 610, 824, 1875, 25535, 5524, 1072, 2472, 616, 5018, 538, 519, 2062, 4707, 2376, 267, 1022, 6811, 610, 6898, 1500, 827, 873, 723, 711, 1044, 11117, 676, 519, 772, 2529, 269, 5253, 543, 10684, 10029, 267, 543, 971, 9422, 9360, 610, 824, 1072, 2472, 616, 711, 5497, 547, 13209, 267, 1521, 267, 10826, 267, 610, 2061, 1022, 2068, 269, 0, 1432, 568, 513, 8808, 1698, 7723, 1788, 888, 288, 8808, 1698, 7723, 1788, 568, 513, 28285, 7084, 602, 1053, 2347, 693, 519, 1439, 540, 741, 8808, 1982, 269, 898, 568, 606, 4316, 585, 1053, 547, 6542, 741, 1702, 543, 1983, 538, 8808, 1382, 267, 2259, 267, 543, 2963, 2861, 1416, 269, 7167, 7723, 3785, 666, 1491, 513, 3099, 540, 3029, 267, 971, 607, 1382, 4574, 267, 1982, 20241, 267, 2298, 6454, 3785, 267, 543, 2013, 2090, 563, 3963, 568, 621, 1271, 888, 301, 2720, 532, 1698, 7723, 3785, 616, 1271, 585, 513, 1297, 540, 4128, 269, 3689, 267, 789, 948, 1053, 547, 1020, 519, 2565, 3206, 543, 1966, 9010, 1983, 602, 616, 1898, 585, 8808, 2259, 269, 5822, 267, 1698, 7723, 3785, 1450, 1053, 547, 4019, 1018, 789, 723, 4121, 538, 519, 4928, 547, 1483, 8996, 8808, 2042, 269, 12059, 267, 1698, 7723, 3785, 666, 948, 1053, 547, 2697, 2127, 540, 8808, 2259, 602, 991, 6454, 563, 1432, 616, 519, 1114, 2010, 540, 8808, 1698, 7723, 3785, 888, 2467, 616, 1082, 1114, 2010, 540, 8808, 1698, 7723, 3785, 267, 855, 930, 540, 519, 1034, 1455, 1331, 912, 268, 3194, 4574, 281, 3194, 4574, 4125, 10647, 3312, 1382, 593, 513, 8808, 1888, 540, 1719, 269, 4841, 3335, 2328, 513, 3332, 2689, 547, 17412, 519, 4540, 1382, 593, 741, 1888, 267, 543, 1287, 1374, 543, 2932, 513, 1353, 540, 741, 1378, 563, 268, 5358, 20241, 281, 5358, 20241, 4125, 12570, 519, 7145, 540, 513, 8808, 1982, 610, 6304, 269, 4841, 3335, 2445, 1239, 689, 5171, 538, 519, 1982, 610, 6304, 267, 543, 1287, 5659, 519, 1239, 547, 2697, 9342, 543, 12755, 563, 268, 10866, 6454, 3785, 281, 10866, 6454, 3785, 4125, 7114, 543, 7598, 2994, 547, 2087, 519, 2298, 540, 8808, 1416, 269, 4841, 3335, 2445, 1239, 593, 513, 2298, 6454, 2268, 267, 543, 1287, 1374, 543, 2936, 606, 6304, 547, 2087, 602, 2268, 563, 268, 8865, 2090, 281, 8865, 2090, 4125, 538, 3829, 2079, 540, 513, 2582, 3461, 610, 1895, 540, 2550, 269, 4841, 3335, 2445, 1239, 593, 519, 3461, 4433, 264, 685, 2564, 1686, 267, 2168, 6514, 267, 10368, 4255, 267, 543, 2126, 4093, 563, 1692, 547, 3442, 519, 1318, 8808, 1698, 7723, 1788, 1888, 585, 596, 454, 2691, 7446, 513, 8808, 1698, 7723, 1788, 1888, 267, 621, 568, 1271, 547, 2015, 707, 4690, 267, 9342, 267, 543, 6074, 8808, 20614, 1858, 269, 1411, 1058, 849, 3442, 513, 1888, 602, 568, 4143, 547, 1699, 8808, 2259, 543, 602, 568, 15164, 543, 19242, 563, 2080, 616, 930, 4388, 585, 7446, 513, 8808, 1698, 7723, 1788, 1888, 912, 268, 11020, 10445, 513, 1592, 540, 3584, 602, 596, 616, 5461, 538, 269, 1548, 616, 596, 13730, 827, 286, 1548, 616, 707, 9342, 286, 1548, 2127, 540, 8808, 2259, 798, 596, 1616, 547, 1451, 811, 827, 888, 268, 715, 5535, 1524, 707, 1592, 540, 3584, 676, 6236, 707, 6074, 8808, 20614, 1858, 269, 1548, 616, 519, 1034, 10296, 2152, 538, 707, 2361, 286, 1548, 2127, 540, 8808, 2259, 991, 6454, 888, 268, 13185, 547, 707, 8808, 1698, 7723, 1788, 25129, 827, 707, 1592, 540, 3584, 269, 1358, 666, 948, 596, 547, 3442, 513, 1888, 602, 568, 15164, 543, 19242, 267, 543, 602, 568, 13988, 609, 707, 4690, 543, 3853, 563, 19522, 585, 3478, 3323, 593, 707, 8808, 1698, 7723, 1788, 454, 5629, 596, 723, 6074, 513, 8808, 1698, 7723, 1788, 1888, 267, 621, 568, 1271, 547, 1205, 3323, 593, 707, 1788, 607, 2038, 607, 2009, 269, 3371, 616, 930, 4388, 585, 3478, 3323, 912, 268, 8073, 513, 15415, 585, 707, 1788, 269, 901, 786, 948, 596, 547, 3251, 593, 3950, 543, 547, 2743, 707, 21852, 563, 268, 3763, 513, 1382, 1544, 269, 901, 786, 948, 596, 547, 2697, 519, 4143, 2959, 540, 1344, 543, 547, 2445, 519, 1239, 602, 596, 991, 563, 268, 5192, 6896, 269, 8073, 513, 1062, 585, 12180, 707, 1382, 4967, 267, 1239, 267, 543, 824, 1788, 2326, 563, 268, 9105, 585, 948, 950, 596, 991, 621, 269, 2659, 8808, 1698, 7723, 1788, 25129, 267, 15032, 267, 543, 824, 8808, 4648, 666, 581, 3407, 2200, 563, 24400, 513, 8808, 1698, 7723, 1788, 1888, 454, 13706, 707, 4690, 543, 9342, 454, 1432, 616, 596, 13730, 827, 538, 8808, 286, 1548, 616, 707, 9342, 286, 1548, 2127, 540, 8808, 2259, 798, 596, 1616, 547, 1451, 811, 827, 286, 19805, 513, 1888, 602, 596, 616, 5461, 538, 543, 602, 596, 616, 1434, 693, 786, 1118, 519, 1698, 7723, 1788, 1184, 811, 11791, 543, 14785, 563, 13914, 827, 707, 6074, 8808, 20614, 1858, 454, 1432, 616, 519, 1034, 10296, 2152, 538, 707, 2361, 286, 1548, 2127, 540, 8808, 2259, 991, 6454, 286, 19805, 513, 1888, 602, 568, 4143, 547, 707, 6074, 8808, 20614, 1858, 786, 1450, 596, 547, 4019, 707, 1702, 543, 1983, 547, 513, 1483, 8996, 1966, 563, 16521, 513, 1888, 602, 568, 4143, 547, 1699, 8808, 2259, 454, 301, 2720, 532, 568, 513, 7683, 9687, 2361, 267, 865, 621, 568, 1271, 547, 3442, 513, 1888, 602, 568, 4143, 547, 1699, 8808, 2259, 269, 901, 786, 2327, 602, 707, 1698, 7723, 1788, 568, 12905, 543, 6209, 563, 13014, 2386, 707, 1888, 568, 15164, 543, 19242, 454, 7312, 8808, 1698, 7723, 1788, 1058, 581, 4101, 855, 15164, 269, 5213, 1406, 3442, 513, 1888, 602, 568, 1932, 3376, 610, 1932, 1950, 269, 13185, 547, 707, 8808, 1698, 7723, 1788, 25129, 547, 1205, 741, 5955, 593, 519, 23250, 540, 707, 1888, 563, 3519, 2265, 532, 1382, 585, 707, 8808, 1698, 7723, 1788, 454, 16240, 707, 8808, 1698, 7723, 1788, 1957, 454, 5629, 596, 723, 5342, 707, 1382, 267, 621, 568, 942, 547, 1376, 1603, 707, 8808, 1698, 7723, 1788, 1957, 269, 3371, 616, 930, 4388, 585, 1603, 513, 2178, 1698, 7723, 1788, 1957, 912, 14946, 513, 5098, 3948, 269, 2659, 5098, 3948, 568, 519, 1292, 4661, 540, 707, 1957, 269, 898, 1058, 581, 513, 2312, 543, 13801, 3948, 602, 18304, 909, 707, 4681, 563, 8620, 606, 7291, 269, 1323, 7291, 786, 948, 596, 547, 10891, 707, 4555, 543, 547, 2327, 602, 707, 1957, 568, 1134, 3613, 19099, 563, 2237, 513, 2178, 4367, 543, 3932, 269, 2659, 4367, 1058, 13622, 519, 5467, 543, 6338, 707, 1888, 269, 2659, 3932, 1058, 17412, 707, 1292, 2798, 543, 4734, 519, 5467, 609, 1945, 547, 1589, 827, 563, 28874, 707, 6811, 609, 2963, 689, 707, 1382, 269, 2142, 2386, 547, 13712, 707, 2959, 5265, 563, 8196, 2312, 543, 13801, 1893, 269, 3680, 1210, 3822, 543, 2930, 2474, 602, 707, 5467, 949, 711, 1174, 563, 27893, 1348, 707, 1957, 5402, 269, 5269, 2386, 547, 6169, 1348, 707, 1957, 5402, 1354, 26446, 621, 547, 707, 14357, 563, 303, 6974, 532, 707, 8808, 1698, 7723, 1788, 454, 5629, 596, 723, 2854, 707, 8808, 1698, 7723, 1788, 1957, 267, 596, 786, 991, 547, 1459, 621, 547, 707, 14357, 543, 5924, 15032, 269, 3371, 616, 930, 4388, 585, 9306, 707, 1698, 7723, 1788, 912, 20797, 707, 6881, 25656, 269, 901, 786, 948, 596, 547, 1745, 811, 8746, 543, 547, 5838, 707, 6881, 12347, 563, 6826, 5423, 547, 2626, 2055, 689, 707, 5304, 269, 6056, 827, 1018, 2055, 707, 5304, 1522, 2307, 543, 5965, 4267, 538, 4434, 563, 8196, 23877, 547, 1489, 707, 6881, 269, 10439, 338, 666, 581, 513, 1390, 1259, 547, 4497, 707, 5304, 543, 547, 1118, 707, 6881 ]

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

[ 607, 7510, 516, 628, 12541, 610, 2166, 4148, 3578, 12541, 547, 10936, 519, 10860, 2047, 563, 1892, 28820, 10840, 532, 19683, 543, 3490, 15236, 547, 4894, 8988, 8127, 543, 741, 5798, 563, 1892, 22034, 20202, 20637, 547, 7001, 8988, 8127, 563, 1892, 1234, 680, 5217, 2025, 267, 14927, 2835, 543, 1957, 3688, 609, 1007, 3283, 607, 8988, 8127, 3049, 593, 873, 563, 3528, 3695, 519, 3681, 1657, 267, 596, 666, 1491, 519, 1697, 3268, 547, 608, 32558, 622, 8988, 8127, 689, 707, 1753, 563, 8489, 798, 8988, 8127, 979, 16074, 888, 7021, 9519, 267, 8988, 8127, 3335, 12404, 538, 1507, 267, 4158, 5624, 971, 607, 18015, 267, 9475, 538, 6821, 543, 19683, 267, 3297, 1433, 322, 1162, 267, 543, 896, 15790, 1115, 1851, 824, 4025, 269, 1358, 616, 27248, 543, 786, 3335, 2097, 856, 693, 3781, 547, 3406, 585, 1426, 543, 29982, 563, 7628, 519, 1554, 267, 789, 786, 2611, 6456, 538, 4025, 540, 9675, 547, 9101, 519, 21765, 543, 538, 1931, 547, 3251, 2922, 689, 11975, 269, 18234, 8127, 12404, 538, 1212, 341, 1182, 543, 9395, 5624, 538, 1931, 547, 7639, 543, 4043, 547, 4782, 14927, 267, 18519, 2127, 267, 865, 513, 19880, 610, 27445, 4055, 568, 519, 3501, 15720, 5544, 585, 873, 563, 12663, 8988, 8127, 31770, 593, 803, 888, 5591, 267, 8988, 8127, 3335, 798, 711, 31770, 593, 3425, 269, 18234, 8127, 616, 1034, 3742, 693, 3781, 543, 789, 2057, 1769, 267, 865, 789, 786, 2356, 3251, 856, 540, 1463, 3346, 609, 3425, 269, 18234, 8127, 616, 13631, 547, 5848, 543, 18519, 2127, 543, 666, 1419, 581, 1336, 538, 8602, 7741, 543, 6539, 29353, 267, 855, 952, 519, 1753, 568, 1134, 268, 1203, 23624, 543, 2973, 1287, 8988, 8127, 786, 2356, 711, 14679, 883, 2127, 540, 519, 1753, 1141, 1004, 616, 8362, 2713, 563, 22068, 591, 8127, 3049, 593, 12308, 267, 1957, 267, 543, 824, 5214, 1570, 267, 865, 547, 2057, 3346, 609, 873, 267, 2973, 543, 4894, 1022, 11935, 689, 2127, 538, 707, 1753, 602, 949, 581, 13267, 547, 891, 7786, 563, 3963, 616, 8988, 8127, 865, 2182, 547, 1205, 7759, 540, 888, 22068, 591, 8127, 616, 711, 528, 13124, 2182, 547, 1205, 7759, 540, 1317, 540, 741, 6043, 543, 9960, 7207, 269, 1358, 616, 27248, 7068, 267, 865, 789, 616, 1419, 2182, 547, 5544, 267, 543, 713, 666, 1118, 873, 2352, 547, 3077, 563, 12234, 267, 8988, 8127, 616, 11212, 1434, 693, 15268, 547, 741, 1604, 267, 799, 2306, 873, 11259, 547, 3114, 28084, 757, 543, 838, 7590, 269, 7053, 267, 8988, 8127, 9742, 5393, 3533, 543, 666, 2482, 909, 547, 476, 4968, 5798, 538, 835, 16801, 563, 1607, 1797, 602, 952, 606, 3355, 4674, 547, 4894, 519, 8988, 8127, 568, 711, 3144, 267, 519, 2551, 666, 3533, 1205, 856, 540, 1688, 269, 1677, 1118, 6927, 8338, 267, 519, 5798, 1491, 476, 277, 4374, 593, 3328, 547, 24011, 267, 855, 713, 942, 666, 4268, 3648, 4470, 593, 5210, 543, 11195, 2157, 563, 1607, 2306, 621, 2352, 547, 8308, 2708, 875, 1454, 540, 513, 1966, 519, 8988, 8127, 2551, 568, 563, 6701, 8988, 8127, 2571, 888, 5591, 267, 8988, 8127, 616, 711, 2571, 269, 18234, 8127, 616, 1507, 267, 13617, 1652, 7786, 602, 616, 3335, 8988, 610, 15454, 880, 15918, 826, 538, 2681, 269, 1358, 723, 6366, 267, 1279, 4703, 609, 10253, 543, 1614, 1490, 30178, 693, 519, 1439, 540, 519, 17737, 563, 22068, 591, 8127, 3668, 606, 608, 18929, 13987, 799, 3947, 873, 513, 2571, 267, 10169, 28489, 344, 1745, 269, 1717, 267, 741, 9018, 8720, 540, 10253, 568, 5347, 543, 2182, 267, 865, 789, 616, 711, 2571, 547, 519, 5905, 269, 769, 1840, 267, 789, 723, 8325, 267, 838, 4176, 7953, 602, 666, 2014, 606, 13943, 621, 577, 952, 789, 616, 20109, 563, 19675, 594, 24807, 8988, 8127, 888, 15371, 610, 711, 596, 1058, 968, 13062, 2313, 892, 513, 8988, 8127, 5673, 593, 707, 3510, 269, 1403, 596, 1265, 8988, 8127, 538, 707, 1753, 267, 519, 1655, 3070, 949, 581, 547, 15972, 519, 8988, 8127, 543, 4894, 873, 689, 519, 1858, 269, 901, 949, 1611, 1210, 513, 12511, 15777, 267, 2156, 558, 543, 7452, 3966, 267, 610, 513, 8708, 547, 1205, 873, 856, 540, 707, 1753, 563, 7230, 8221, 519, 8988, 8127, 568, 9053, 936, 11318, 873, 267, 607, 713, 786, 9004, 741, 2551, 543, 2061, 873, 689, 14921, 2417, 269, 4495, 789, 2461, 6569, 267, 596, 666, 10936, 5521, 8336, 267, 4019, 513, 7452, 532, 8869, 267, 610, 1305, 20202, 20637, 547, 3247, 811, 8988, 8127, 689, 10024, 707, 1753, 563, 2252, 596, 2461, 13964, 543, 2097, 2066, 513, 8988, 8127, 267, 519, 1655, 3364, 547, 798, 568, 547, 1175, 11716, 519, 8988, 8127, 543, 4734, 621, 581, 269, 18234, 8127, 616, 6225, 543, 20027, 267, 865, 8259, 789, 2461, 4929, 596, 610, 707, 1753, 1463, 2800, 267, 621, 779, 1655, 547, 1175, 1577, 873, 979, 563, 1432, 568, 519, 1259, 547, 1205, 7759, 540, 8988, 8127, 888, 763, 1034, 2500, 1259, 547, 1205, 7759, 540, 8988, 8127, 568, 547, 2569, 741, 1426, 2959, 543, 2569, 519, 11195, 538, 707, 1753, 269, 901, 666, 581, 2944, 998, 513, 1297, 540, 2409, 267, 971, 607, 7738, 909, 2127, 1141, 1426, 5536, 949, 18645, 267, 7962, 3539, 543, 7738, 856, 20203, 23691, 5781, 267, 5265, 13936, 1426, 3688, 538, 20177, 11149, 267, 543, 21338, 1022, 21818, 610, 1216, 20984, 602, 949, 581, 1459, 563, 2791, 1058, 849, 2327, 602, 972, 568, 1697, 14910, 538, 707, 1753, 267, 607, 1134, 607, 5329, 11647, 543, 15790, 1115, 2476, 689, 16538, 6821, 269, 3958, 267, 596, 666, 20057, 548, 1426, 17263, 1019, 520, 558, 17675, 3618, 1472, 519, 2127, 1141, 519, 8988, 8127, 7249, 26021, 267, 607, 519, 8325, 8728, 540, 519, 1019, 520, 558, 17675, 3618, 8869, 666, 2759, 543, 13204, 3433, 519, 8988, 8127, 4703, 563, 15563, 267, 596, 666, 946, 5521, 15969, 971, 607, 536, 7595, 3679, 547, 9004, 1022, 8988, 8127, 602, 949, 2611, 563, 1692, 1279, 798, 8988, 8127, 2063, 585, 888, 22068, 591, 8127, 3335, 723, 513, 14438, 540, 1079, 547, 5216, 1296, 267, 4470, 593, 2825, 2175, 543, 519, 8244, 540, 1426, 2959, 269, 769, 513, 15028, 1604, 267, 789, 949, 2661, 909, 547, 5216, 1296, 543, 930, 723, 1256, 1044, 1634, 547, 7639, 585, 3476, 982, 602, 563, 1103, 10792, 2175, 267, 2705, 267, 741, 12468, 335, 753, 949, 581, 6251, 547, 1079, 1296, 269, 18234, 8127, 616, 711, 4584, 344, 3548, 619, 267, 799, 666, 948, 873, 547, 7639, 538, 554, 1513, 615, 2175, 267, 607, 789, 666, 3049, 593, 3592, 1022, 5214, 1570, 267, 1519, 3774, 17549, 267, 2835, 267, 543, 7802, 563, 4913, 267, 789, 798, 991, 1569, 547, 1216, 538, 1931, 547, 7639, 267, 799, 7182, 741, 14438, 538, 5671, 518, 2127, 563, 1432, 798, 8988, 8127, 13842, 519, 1034, 888, 22068, 591, 8127, 13842, 3665, 5210, 267, 6505, 8279, 267, 543, 6753, 602, 616, 711, 18519, 269, 26184, 4411, 5210, 267, 971, 607, 1346, 1336, 538, 14023, 2209, 610, 3819, 5162, 2011, 267, 666, 581, 14603, 585, 8988, 8127, 269, 769, 1840, 267, 6505, 8279, 616, 606, 8886, 656, 585, 873, 543, 666, 2014, 873, 547, 2196, 585, 3382, 563, 22068, 591, 8127, 991, 7509, 547, 7639, 267, 865, 789, 616, 2693, 547, 2057, 3819, 267, 1930, 2127, 267, 971, 607, 1346, 1336, 538, 4859, 5008, 1115, 267, 3490, 906, 543, 1140, 923, 269, 18227, 891, 2127, 1863, 540, 804, 13616, 543, 10992, 585, 1216, 20984, 949, 948, 15658, 8988, 8127, 689, 5275, 856, 891, 6753, 563, 12234, 267, 1210, 632, 21065, 573, 13294, 543, 27575, 1022, 18015, 543, 1212, 341, 1182, 666, 948, 547, 2569, 519, 1297, 540, 8988, 8127, 23493, 538, 513, 1753, 563, 6701, 8988, 8127, 689, 1373, 18660, 888, 5591, 267, 8988, 8127, 616, 711, 3361, 676, 1373, 18660, 269, 1358, 616, 10860, 602, 616, 13631, 547, 3636, 267, 5848, 5054, 267, 799, 19890, 267, 666, 581, 2813, 676, 6028, 1426, 1835, 29304, 610, 824, 3615, 538, 2182, 3562, 3146, 778, 2127, 971, 607, 3297, 4172, 2583, 267, 896, 29826, 267, 543, 538, 5008, 1115, 563, 22068, 591, 8127, 798, 711, 1459, 513, 1463, 1072, 1981, 267, 855, 741, 4527, 666, 581, 30414, 543, 666, 2014, 3441, 607, 789, 4749, 3049, 593, 3688, 899, 1433, 12622, 902, 267, 3774, 17549, 13594, 267, 543, 17234, 269, 1677, 2061, 8988, 8127, 267, 621, 568, 1271, 547, 1832, 513, 2973, 543, 3819, 1604, 676, 1210, 513, 632, 21065, 573, 8595, 267, 8741, 532, 540, 20203, 5781, 267, 543, 4180, 972, 616, 1100, 1426, 1835, 29304, 610, 3688, 2451, 3297, 602, 949, 4482, 873, 563, 12234, 267, 1210, 1875, 3562, 13877, 5521, 15969, 971, 607, 536, 7595, 3679, 949, 948, 3970, 8988, 8127, 28383, 563, 3674, 621, 2009, 547, 1205, 7759, 540, 8988, 8127, 18385, 888, 8133, 267, 621, 568, 2009, 547, 1205, 7759, 540, 8988, 8127, 18385, 269, 1677, 798, 865, 267, 621, 568, 1271, 547, 2697, 543, 2232, 519, 5817, 2707, 540, 519, 23588, 269, 901, 1223, 581, 7509, 2152, 267, 11935, 1628, 5346, 267, 610, 16283, 19455, 563, 5629, 713, 568, 2944, 267, 7598, 519, 1739, 3268, 666, 948, 1205, 7759, 540, 519, 8988, 8127, 18385, 912, 1700, 21079, 741, 1426, 2959, 676, 14874, 2025, 2835, 267, 14786, 267, 21312, 10833, 267, 543, 824, 971, 1570, 689, 519, 1753, 563, 1700, 15188, 7622, 3688, 899, 2835, 543, 7802, 538, 2011, 31259, 11149, 610, 11435, 563, 1700, 1530, 531, 782, 18015, 543, 1212, 341, 1182, 1141, 8988, 8127, 949, 581, 10024, 519, 1753, 563, 1700, 17115, 12511, 543, 7452, 547, 1832, 873, 2476, 543, 25339, 873, 689, 4947, 1394, 563, 1700, 2422, 5521, 15969, 610, 2067, 8925, 899, 16692, 610, 536, 7595, 3679, 547, 1832, 873, 2476, 563, 3528, 2921, 891, 3268, 267, 621, 568, 2009, 547, 1205, 7759, 540, 8988, 8127, 18385, 563, 3963, 993, 594, 10393, 7487, 8988, 8127, 538, 1250, 2777, 888, 22068, 591, 8127, 616, 2219, 547, 581, 1034, 4122, 5189, 883, 5321, 998, 2907, 19899, 6479, 11647, 267, 10833, 267, 543, 1957, 2472, 602, 723, 1044, 4547, 883, 519, 1753, 269, 1358, 666, 849, 581, 4547, 538, 998, 18015, 538, 519, 5748, 543, 824, 2798, 540, 7127, 899, 642, 757, 543, 28368, 563, 22068, 591, 8127, 949, 581, 13631, 547, 5671, 518, 267, 1447, 5887, 23624, 2127, 899, 1140, 923, 543, 3490, 906, 267, 3335, 2282, 1761, 1426, 2959, 899, 1957, 267, 1433, 12622, 902, 543, 17234, 269, 19791, 609, 1164, 11195, 949, 849, 2014, 2582, 8988, 8127, 547, 9062, 267, 607, 789, 4782, 5848, 543, 4158, 2127, 563, 12234, 267, 8988, 8127, 666, 3006, 22132, 689, 8963, 12992, 267, 2523, 950, 789, 5749, 1406, 5265, 20177, 267, 799, 666, 1450, 8988, 8127, 547, 1265, 741, 1259, 883, 519, 1753, 563, 1432, 942, 540, 1032, 798, 8988, 8127, 2097, 856, 888, 22068, 591, 8127, 3335, 2097, 856, 1282, 519, 15911, 3275, 540, 519, 1032, 267, 3335, 689, 2904, 547, 4864, 269, 1358, 616, 27248, 543, 899, 519, 4158, 267, 18519, 1604, 540, 513, 1753, 543, 949, 1831, 811, 3742, 693, 3781, 950, 519, 8279, 616, 1055, 563, 5445, 4782, 3636, 267, 5848, 16374, 543, 4061, 949, 581, 811, 3713, 762, 538, 519, 4832, 3275, 267, 950, 5210, 616, 811, 2693, 547, 581, 1164, 269, 18234, 8127, 849, 4043, 547, 2097, 856, 538, 3152, 2338, 1282, 519, 5614, 3275, 950, 789, 616, 3168, 585, 29982, 543, 1282, 519, 15489, 950, 789, 949, 1413, 585, 513, 1747, 547, 7670, 5793, 563, 11073, 2515, 267, 789, 949, 581, 2938, 896, 20743, 543, 7725, 267, 11981, 519, 14246, 540, 519, 3141, 1282, 519, 1554, 269, 0, 305, 719, 1149, 616, 513, 3532, 543, 3730, 1259, 547, 3715, 8155, 267, 1305, 6788, 267, 543, 6382, 1628, 2318, 3347, 538, 519, 4928, 1604, 1547, 1358, 948, 3025, 3238, 581, 593, 519, 1482, 2985, 454, 300, 582, 10474, 568, 519, 1883, 547, 18094, 543, 547, 1565, 602, 16569, 269, 9906, 8404, 814, 547, 798, 609, 519, 2875, 779, 7287, 547, 7119, 538, 519, 1565, 1184, 454, 12218, 3336, 1604, 568, 606, 1271, 3815, 602, 5540, 2875, 1565, 269, 1323, 4998, 1565, 4928, 568, 950, 1053, 2070, 741, 13460, 607, 513, 2922, 267, 2318, 543, 11215, 2230, 563, 3080, 540, 519, 1034, 1271, 2645, 538, 2500, 3506, 547, 2087, 2875, 2773, 543, 2932, 568, 11007, 269, 901, 568, 513, 2556, 3693, 538, 519, 5137, 540, 3811, 3506, 454, 20181, 5426, 29007, 454, 2691, 972 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 476, 271, 454, 258, 476, 15159, 417, 495, 357, 13601, 994, 258, 512, 332, 14729, 1485, 454, 258, 476, 21588, 361, 16583, 510, 14035, 358, 263, 272, 454, 258, 9625, 3607, 277, 267, 476, 3607, 277, 454, 258, 476, 15159, 417, 482, 496, 419, 499, 354, 31308, 484, 994, 258, 512, 332, 318, 529, 323, 560, 454, 258, 13127, 353, 493, 10524, 353, 28793, 263, 23946, 367, 28793, 17958, 21251, 28996, 994, 258, 23288, 258, 1104, 942, 454, 258, 4266, 815, 3403, 3488, 27447, 24662, 28793, 25426, 368, 263, 28032, 489, 417, 28187, 1001, 279, 268, 4905, 268, 2537, 2567, 5073, 258, 588, 815, 942, 269, 1598, 696, 830, 5560, 622, 10086, 260, 312, 268, 260, 332, 268, 260, 323, 10807, 1948, 17276, 501, 370, 25426, 368, 24757, 10951, 361, 420, 377, 361, 25060, 500, 29873, 28793, 25426, 368, 30317, 419, 354, 500, 454, 258, 1003, 815, 588, 6745, 332, 14729, 1485, 454, 258, 1820, 16325, 994, 16482, 16482, 16482, 258, 23288, 258, 28859, 351, 502, 25203, 362, 22650, 16088, 27447, 24662, 4970, 487, 14748, 10533, 368, 12255, 343, 267, 586, 267, 1990, 8147, 13644, 371, 418, 488, 488, 30244, 4970, 487, 14748, 12255, 13200, 365, 16533, 493, 28996, 27962, 27447, 24731, 25707, 258, 23288, 258, 1219, 512, 332, 22650, 10031, 258, 672, 1820, 3488, 27447, 24662, 4970, 487, 14748, 12255, 21211, 5073, 258, 672, 1535, 815, 3403, 3488, 27447, 24662, 21588, 361, 272, 14748, 12255, 21211, 281, 5073, 258, 672, 586, 815, 3403, 3488, 27447, 24662, 21588, 361, 273, 14748, 12255, 21211, 281, 5073, 258, 672, 1990, 815, 3403, 3488, 27447, 24662, 21588, 361, 274, 14748, 12255, 21211, 281, 5073, 258, 672, 561, 815, 1496, 343, 11971, 267, 345, 2639, 258, 672, 2855, 815, 15044, 10857, 264, 476, 1948, 476, 12916, 510, 18263, 509, 23746, 23284, 12916, 379, 17958, 4289, 31699, 3890, 25913, 25622, 23521, 354, 26406, 496, 31365, 8147, 27882, 353, 28793, 4289, 10951, 361, 420, 374, 360, 16533, 484, 420, 351, 360, 32517, 362, 418, 498, 373, 454, 258, 672, 1820, 19906, 994, 16482, 16482, 16482, 258, 23288, 258, 28859, 351, 502, 25203, 362, 24879, 16088, 13161, 494, 21796, 351, 421, 480, 352, 417, 354, 495, 12255, 28578, 25707, 258, 23288, 258, 1219, 512, 332, 24879, 10031, 258, 672, 23288, 258, 22614, 357, 489, 31365, 26166, 22909, 494, 16088, 13161, 494, 21796, 351, 421, 480, 352, 417, 354, 495, 12255, 28578, 8147, 9463, 486, 26175, 364, 421, 375, 482, 19404, 495, 26166, 31176, 366, 12255, 28578, 8147, 418, 490, 485, 7511, 15159, 30244, 21550, 371, 22047, 12255, 28578, 16088, 271, 18998, 272, 18998, 272, 18998, 273, 18998, 274, 18998, 276, 18998, 279, 18998, 1724, 18998, 2641, 18998, 4097, 18998, 8796, 25707, 258, 476, 7987, 494, 14748, 32512, 14035, 485, 21796, 357, 7987, 495, 16088, 23523, 486, 14035, 504, 26175, 491, 25335, 352, 25622, 8147, 16043, 495, 15159, 418, 490, 487, 419, 483, 356, 26166, 31176, 366, 7511, 25913, 19764, 493, 8147, 30006, 493, 418, 361, 350, 9463, 500, 28578, 23989, 12571, 492, 4970, 353, 421, 350, 373, 8147, 419, 482, 370, 12571, 492, 25203, 372, 20693, 510, 25707, 258, 23288, 258, 561, 815, 1496, 271, 267, 272, 2639, 258, 585, 1775, 538, 2039, 263, 1015, 2187, 258, 672, 2855, 815, 561, 15631, 273, 281, 2639, 258, 672, 561, 6910, 19906, 314, 271, 27994, 1551, 314, 272, 7481, 258, 1820, 10857, 994, 16482, 258, 23288, 258, 28859, 351, 502, 25203, 362, 23669, 16088, 16533, 484, 22047, 28578, 23989, 7511, 12255, 29004, 362, 14035, 491, 10254, 370, 28996, 9463, 355, 22047, 28578, 23989, 18809, 25707, 258, 23288, 258, 1219, 512, 332, 23669, 10031, 258, 672, 23288, 258, 476, 7987, 494, 14748, 32512, 14035, 485, 21796, 357, 7987, 495, 16088, 417, 28187, 31563, 419, 367, 375, 14756, 509, 7511, 419, 506, 489, 13213, 485, 7090, 10533, 503, 31801, 489, 18263, 489, 32352, 7511, 18021, 498, 13644, 354, 421, 25693, 419, 509, 354, 421, 479, 497, 25707, 258, 5124, 19404, 490, 30837, 351, 13601, 10254, 485, 421, 25693, 15159, 28098, 420, 365, 350, 8147, 4289, 7511, 14035, 491, 10254, 370, 421, 506, 478, 28884, 17958, 11468, 2639, 258, 476, 7511, 25913, 19764, 493, 25707, 258, 29635, 485, 367, 30678, 321, 815, 513, 9463, 359, 15159, 25203, 372, 25051, 497, 30678, 14756, 503, 320, 9463, 500, 29072, 14748, 10254, 360, 12571, 491, 26033, 490, 26266, 366, 8147, 418, 490, 485, 12571, 495, 7511, 15159, 12571, 490, 22047, 28578, 23989, 8147, 23946, 370, 418, 366, 350, 20069, 14395, 508, 27064, 364, 14035, 491, 10254, 370, 25707, 258, 23288, 258, 513, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 2639, 258, 536, 815, 513, 11468, 2639, 258, 23288, 258, 28859, 351, 502, 14035, 500, 13644, 507, 454, 258, 23288, 258, 672, 513, 314, 271, 24557, 271, 454, 258, 672, 1820, 263, 573, 5416, 1070, 573, 6357, 4297, 476, 1948, 476, 23746, 23284, 419, 506, 489, 28996, 320, 14720, 7511, 19540, 483, 11858, 502, 21251, 13601, 420, 485, 368, 8147, 15159, 14035, 491, 10254, 370, 454, 258, 672, 1820, 5416, 14720, 264, 16875, 1948, 476, 32517, 362, 418, 498, 373, 320, 8147, 321, 21251, 9463, 502, 454, 258, 672, 513, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 2639, 258, 672, 536, 815, 513, 454, 258, 672, 513, 314, 271, 24557, 271, 454, 258, 672, 1820, 263, 573, 5416, 1070, 573, 6357, 4297, 476, 1948, 13127, 28187, 31563, 31308, 375, 26406, 487, 11468, 316, 8147, 23746, 23284, 419, 506, 489, 28996, 320, 14720, 7511, 19540, 483, 11858, 502, 13601, 420, 485, 368, 8147, 23946, 370, 418, 366, 350, 20069, 14035, 491, 10254, 370, 8147, 418, 490, 485, 12571, 495, 7511, 15159, 12571, 490, 22047, 28578, 23989, 454, 258, 672, 1820, 5416, 14720, 264, 16875, 1948, 476, 32517, 362, 418, 498, 373, 320, 8147, 321, 18263, 509, 9463, 502, 454, 16482, 16482, 258, 23288, 258, 28859, 351, 502, 25203, 362, 25484, 16088, 30903, 502, 25203, 362, 16088, 27447, 24731, 454, 258, 476, 280, 2608, 476, 280, 454, 258, 476, 18263, 502, 25622, 9463, 352, 13644, 478, 23989, 25707, 258, 23288, 258, 1219, 512, 332, 25484, 10031, 258, 672, 1948, 7987, 494, 14748, 32512, 14035, 485, 21796, 357, 7987, 495, 16088, 26266, 366, 14756, 493, 417, 379, 502, 29072, 8147, 419, 503, 378, 18021, 355, 29072, 19867, 491, 418, 481, 367, 420, 369, 371, 23521, 354, 9463, 352, 13644, 478, 23989, 10429, 371, 12916, 497, 421, 499, 379, 10524, 478, 18263, 486, 21550, 371, 25707, 258, 672, 1948, 17276, 367, 357, 418, 482, 493, 4939, 268, 278, 338, 13127, 23687, 1439, 284, 5257, 476, 7511, 17958, 25622, 8147, 10429, 370, 10524, 500, 418, 366, 350, 10524, 478, 18263, 486, 25707, 258, 672, 585, 1775, 538, 2039, 263, 272, 267, 1015, 2187, 258, 1363, 585, 795, 538, 2039, 263, 272, 267, 1015, 2187, 258, 17264, 952, 795, 27045, 328, 912, 258, 4449, 5569, 815, 1412, 260, 323, 265, 260, 323, 284, 260, 323, 262, 260, 263, 329, 267, 328, 25814, 265, 328, 994, 258, 4449, 1820, 3488, 260, 268, 278, 338, 262, 260, 11415, 267, 754, 8782, 5073, 258, 1363, 1820, 3488, 5073, 16482, 16482, 258, 23288, 258, 28859, 351, 502, 25203, 362, 27947, 16088, 418, 504, 480, 417, 479, 506, 13601, 26175, 496, 27447, 24731, 25707, 258, 23288, 258, 1219, 512, 332, 27947, 10031, 258, 672, 1948, 7987, 494, 14748, 32512, 14035, 485, 21796, 357, 7987, 495, 16088, 5503, 4732, 2748, 3890, 8147, 17958, 13213, 485, 7511, 421, 25693, 419, 509, 354, 421, 479, 497, 25707, 258, 672, 1104, 942, 454, 258, 672, 513, 815, 942, 28333, 4590, 258, 672, 942, 4732, 2748, 263, 272, 994, 258, 672, 536, 815, 942, 28333, 4590, 258, 672, 1820, 6357, 8584, 994, 16482, 16482, 258, 23288, 258, 28859, 351, 502, 25203, 362, 18089, 16088, 418, 504, 480, 417, 479, 506, 13601, 26175, 496, 27447, 24731, 8147, 23946, 370, 21550, 376, 19764, 493, 25060, 500, 25051, 497, 31176, 491, 28793, 25426, 368, 25707, 258, 23288, 258, 1219, 512, 332, 18089, 10031, 258, 672, 1948, 7987, 494, 14748, 32512, 14035, 485, 21796, 357, 7987, 495, 16088, 17958, 13213, 485, 16583, 510, 418, 361, 350, 8147, 17958, 13213, 485, 16533, 365, 417, 379, 502, 25707, 258, 672, 1104, 942, 454, 258, 672, 513, 815, 942, 269, 1598, 1111, 830, 3488, 260, 312, 268, 260, 332, 268, 260, 323, 4939, 295, 281, 260, 300, 281, 260, 306, 3299, 5503, 7456, 665, 5306, 830, 263, 5503, 28333, 3890, 4297, 1948, 942, 7456, 665, 5306, 830, 3890, 28793, 25426, 368, 16043, 367, 420, 377, 361, 25060, 500, 29873, 28793, 25426, 368, 30317, 419, 354, 500, 454, 258, 672, 1820, 5416, 994, 258, 672, 942, 4732, 2748, 263, 272, 994, 258, 672, 536, 815, 942, 269, 1598, 1111, 830, 3488, 260, 312, 268, 260, 332, 268, 260, 323, 4939, 295, 281, 260, 300, 281, 260, 306, 3299, 5503, 7456, 665, 5306, 830, 263, 5503, 28333, 3890, 4297, 1948, 942, 269, 1598, 1111, 830, 3890, 28793, 25426, 368, 30317, 419, 354, 500, 420, 377, 361, 25060, 500, 29873, 28793, 25426, 368, 24757, 10951, 361, 454, 258, 672, 1820, 6357, 994, 16482, 16482, 258, 23288, 258, 28859, 351, 502, 25203, 362, 18733, 16088, 9463, 353, 10429, 372, 25426, 362, 30903, 502, 16088, 454, 258, 476, 20069, 13601, 28098, 10429, 498, 31878, 8147, 454, 258, 476, 10524, 492, 24731, 13200, 509, 12571, 492, 21588, 361, 274, 14748, 10951, 486, 420, 369, 371, 30006, 493, 14748, 10951, 486, 421, 25693, 13200, 509, 13601, 28098, 10429, 498, 31878, 8147, 454, 258, 13127, 364, 493, 10429, 498, 31878, 421, 499, 379, 28996, 21588, 361, 4970, 487, 14748, 10951, 486, 12571, 492, 30006, 493, 14748, 10951, 486, 9463, 486, 13200, 509, 13601, 28098, 10429, 498, 31878, 25707, 258, 13127, 479, 485, 417, 28187, 10429, 498, 31878, 421, 25693, 21251, 27882, 375, 25707, 258, 476, 25426, 362, 30006, 493, 14748, 10951, 486, 7511, 10429, 498, 31878, 26233, 375, 12255, 20992, 14035, 504, 16533, 495, 5405, 509, 454, 258, 23288, 258, 1219, 512, 332, 18733, 10031, 258, 672, 23288, 258, 476, 10429, 370, 14395, 508, 30244, 421, 479, 497, 30903, 502, 16533, 365, 15159, 13161, 494, 21796, 351, 421, 480, 352, 417, 354, 495, 12255, 28578, 7511, 13200, 365, 23521, 354, 25707, 258, 476, 7987, 494, 14748, 32512, 14035, 485, 21796, 357, 7987, 495, 16088, 419, 494, 484, 418, 372, 483, 26233, 507, 420, 371, 363, 15159, 10429, 367, 421, 498, 362, 8147, 419, 494, 484, 25335, 352, 29873, 418, 375, 350, 4970, 353, 14748, 10951, 486, 12571, 492, 8147, 30006, 493, 10951, 486, 421, 25693, 420, 25693, 13200, 509, 10429, 498, 31878, 8147, 16533, 365, 417, 354, 377, 20693, 508, 29072, 25707, 258, 23288, 258, 544, 272, 284, 272, 1948, 17276, 375, 350, 10951, 486, 454, 258, 544, 273, 284, 271, 1948, 17276, 375, 350, 32517, 358, 10951, 486, 27818, 31284, 14748, 10951, 486, 13200, 509, 10429, 498, 31878, 24724, 454, 258, 6515, 284, 271, 1948, 476, 23746, 23284, 10951, 486, 10951, 486, 13200, 509, 10429, 498, 31878, 29072, 454, 258, 585, 1775, 538, 2039, 263, 272, 267, 1015, 2187, 258, 672, 1948, 476, 13213, 485, 29072, 272, 14748, 10951, 486, 12571, 492, 454, 258, 672, 6515, 815, 6515, 266, 332, 273, 476, 1948, 13127, 488, 510, 24662, 13161, 364, 417, 351, 508, 29873, 23946, 368, 7511, 10429, 498, 31878, 454, 258, 672, 544, 273, 815, 544, 272, 672, 1948, 17276, 375, 350, 10951, 486, 7511, 9463, 502, 29873, 418, 375, 350, 32517, 358, 10951, 486, 454, 258, 672, 544, 272, 815, 6515, 672, 1948, 476, 30244, 14748, 10951, 486, 13161, 364, 24731, 13200, 509, 10429, 498, 31878, 454, 258, 672, 1820, 9217, 267, 7825, 266, 332, 272, 266, 332, 273, 264, 1948, 17276, 363, 493, 14748, 10951, 486, 20069, 14035, 504, 16533, 495, 28098, 10429, 498, 31878, 454, 16482, 16482, 258, 23288, 258, 28859, 351, 502, 25203, 362, 23713, 16088, 10254, 353, 13161, 511, 6200, 910, 476, 1220, 454, 258, 476, 18263, 489, 25426, 368, 20069, 14035, 504, 16533, 495, 14748, 27381, 510, 12255, 8147, 23946, 370, 27447, 24731, 19867, 478, 20069, 27381, 510, 12255, 25707, 258, 23288, 258, 1219, 512, 332, 23713, 10031, 258, 672, 23288, 258, 476, 7987, 494, 14748, 32512, 14035, 485, 21796, 357, 7987, 495, 16088, 418, 490, 487, 419, 483, 356, 27381, 510, 12255, 21251, 420, 25693, 420, 351, 360, 18263, 489, 31176, 491, 7511, 27381, 510, 12255, 10533, 368, 30522, 353, 8147, 9463, 500, 1220, 23284, 19540, 483, 19867, 478, 20069, 27381, 510 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10289, 519, 28249, 540, 2677, 790, 543, 5295, 538, 16972, 16527, 661, 549, 6776, 23620, 11470, 692, 296, 269, 4985, 692, 292, 549, 6776, 15832, 5708, 814, 1279, 1044, 513, 2442, 9135, 1851, 3988, 5275, 547, 2263, 4798, 540, 7287, 267, 6612, 267, 543, 2648, 269, 10738, 713, 6626, 7121, 6818, 513, 24848, 516, 602, 3560, 338, 721, 547, 519, 16972, 5736, 267, 513, 942, 6353, 676, 7453, 1514, 8155, 543, 14461, 4008, 5107, 269, 8616, 267, 9624, 713, 1065, 1833, 267, 2984, 540, 28302, 12602, 267, 6456, 13821, 267, 543, 1379, 6384, 11200, 267, 5356, 513, 2189, 7828, 998, 799, 547, 4983, 1480, 3347, 543, 14920, 269, 769, 713, 1576, 1770, 267, 649, 5490, 883, 519, 1158, 540, 16972, 2144, 5328, 15832, 5708, 267, 3695, 922, 3140, 2796, 267, 21044, 2609, 267, 543, 5339, 4644, 780, 2862, 269, 634, 16972, 16527, 281, 589, 5384, 540, 3115, 1833, 543, 32425, 692, 2414, 1174, 519, 9029, 540, 16972, 2144, 5328, 15832, 5708, 267, 835, 1590, 1101, 9787, 519, 3140, 2796, 538, 799, 621, 568, 1305, 269, 634, 16972, 5736, 267, 3957, 1310, 10348, 15117, 781, 12081, 630, 8146, 278, 268, 5002, 272, 1070, 729, 6825, 676, 4028, 22713, 267, 20012, 267, 543, 1713, 2686, 10593, 269, 6736, 891, 2242, 267, 6848, 6788, 4478, 3023, 543, 14920, 7283, 7361, 24240, 269, 6468, 941, 4397, 547, 2611, 669, 4292, 2394, 7365, 267, 1247, 2367, 1419, 7722, 538, 970, 1090, 541, 1388, 12602, 1510, 12343, 269, 901, 27524, 30315, 2813, 15417, 2666, 585, 8941, 540, 24193, 2648, 543, 5728, 2119, 7370, 780, 7656, 269, 5295, 18868, 543, 13834, 32018, 692, 23338, 547, 1082, 16972, 2144, 5328, 15832, 9089, 616, 1379, 6384, 543, 4008, 1909, 10941, 1023, 269, 9093, 267, 12926, 9763, 607, 8789, 5515, 267, 949, 1265, 2933, 693, 519, 23502, 540, 2021, 945, 29937, 741, 8706, 6541, 607, 513, 14049, 269, 1452, 6386, 4161, 6671, 2093, 827, 27828, 543, 8706, 6541, 267, 18136, 3988, 547, 2243, 519, 7687, 5116, 2390, 2043, 1759, 9003, 593, 741, 4008, 269, 5015, 267, 789, 1683, 3255, 585, 3197, 547, 16637, 6848, 10148, 267, 4466, 5191, 543, 20106, 538, 6397, 4025, 780, 4353, 269, 634, 5678, 540, 7043, 532, 281, 661, 1575, 1335, 1143, 543, 769, 20692, 754, 334, 692, 11693, 519, 9184, 5622, 2470, 540, 8763, 4638, 1543, 1282, 519, 16972, 5736, 267, 4589, 16941, 8185, 593, 552, 1575, 1335, 1143, 543, 7961, 340, 754, 334, 547, 6655, 7287, 543, 25055, 269, 901, 18932, 267, 859, 25607, 1893, 5713, 711, 1152, 547, 21915, 531, 1125, 3988, 855, 849, 547, 20838, 519, 804, 663, 32347, 2470, 540, 519, 3197, 262, 13341, 269, 1635, 14139, 971, 12485, 267, 5830, 16436, 3988, 547, 7119, 538, 519, 957, 540, 29852, 519, 3020, 2495, 3297, 9583, 21030, 6681, 1913, 543, 2453, 267, 7551, 4463, 2287, 519, 2949, 2283, 783, 1995, 780, 309, 269, 7073, 22627, 281, 27915, 5131, 689, 5081, 13926, 21673, 725, 692, 4407, 1305, 538, 513, 11397, 2250, 267, 16972, 2144, 5328, 15832, 5708, 3788, 4143, 2221, 1813, 547, 922, 3408, 540, 15851, 4798, 971, 607, 1582, 22523, 267, 16882, 267, 543, 519, 6560, 1996, 6848, 6788, 269, 3509, 4207, 1568, 3136, 547, 2721, 6667, 689, 713, 3638, 3140, 1974, 267, 11744, 519, 5571, 9029, 540, 891, 6386, 269, 3958, 267, 2413, 14624, 543, 1427, 32478, 2709, 4195, 5380, 593, 5929, 8941, 267, 3850, 1007, 5481, 540, 3988, 547, 4497, 609, 543, 1451, 689, 519, 2250, 780, 9654, 269, 10390, 692, 1103, 3932, 267, 16972, 5736, 2144, 5328, 15832, 5708, 3091, 513, 9159, 19214, 883, 513, 1158, 1141, 7287, 543, 1379, 18595, 710, 267, 4101, 2757, 4008, 5107, 543, 3246, 3255, 585, 3197, 547, 1219, 344, 6848, 14908, 269, 3414, 922, 946, 540, 552, 1575, 1335, 2065, 1893, 543, 8561, 593, 1379, 6384, 267, 713, 24848, 516, 5170, 547, 6678, 337, 718, 3988, 267, 18136, 873, 547, 2263, 741, 1378, 6302, 543, 9784, 741, 7961, 25958, 13821, 269, 1306, 971, 267, 621, 3788, 606, 1898, 5057, 540, 519, 3677, 2144, 5328, 15832, 5251, 267, 23429, 938, 7104, 1620, 540, 1480, 3347, 543, 14920, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 1739, 4564, 782, 2835, 4867, 7396, 1369, 519, 9135, 267, 12634, 912, 288, 4816, 269, 898, 7012, 1405, 1932, 1454, 547, 2307, 585, 910, 729, 621, 888, 10111, 334, 543, 11518, 9710, 928, 723, 621, 782, 1107, 610, 798, 789, 286, 2961, 334, 779, 6574, 6999, 568, 547, 581, 513, 3993, 267, 543, 513, 4816, 568, 519, 835, 3364, 11518, 666, 1406, 2285, 1200, 269, 28791, 267, 540, 1576, 267, 646, 1917, 338, 267, 18664, 4900, 610, 2848, 1023, 835, 7498, 10907, 1484, 4884, 267, 1744, 16336, 3884, 1406, 2386, 1352, 779, 2759, 856, 547, 581, 513, 3993, 269, 9046, 568, 267, 1352, 779, 5216, 3275, 9176, 2507, 2060, 1200, 3659, 7325, 773, 779, 1489, 267, 1744, 16336, 568, 4947, 547, 2474, 609, 31587, 3993, 3125, 950, 1352, 10742, 11518, 1107, 543, 519, 3781, 332, 732, 5956, 563, 12663, 1744, 16336, 779, 1007, 1922, 895, 8788, 2063, 888, 1432, 13080, 786, 11518, 979, 547, 538, 1010, 1391, 547, 1265, 513, 4816, 585, 2961, 334, 888, 4517, 1281, 1744, 16336, 779, 4816, 1611, 519, 1439, 540, 7325, 773, 779, 13922, 585, 519, 2104, 286, 848, 4283, 16924, 454, 17606, 729, 835, 21687, 3781, 269, 1261, 729, 1250, 9997, 22940, 543, 594, 8910, 2760, 5433, 811, 9800, 269, 594, 7948, 1406, 2995, 1864, 594, 3893, 9176, 269, 898, 1131, 4076, 8297, 1441, 3388, 269, 1809, 1631, 1010, 8250, 6499, 547, 2743, 1864, 543, 594, 991, 547, 1118, 1919, 1318, 1848, 6271, 15237, 23012, 1524, 1200, 32336, 269, 18222, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 16337, 1315, 661, 8527, 3821, 1315, 8466, 1315, 16972, 16527, 661, 549, 6776, 23620, 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, 1103, 713, 1770, 267, 649, 786, 2263, 513, 4241, 1888, 538, 519, 1158, 540, 8804, 543, 7384, 281, 9781, 2883, 7405, 1210, 5124, 269, 1284, 786, 1451, 875, 547, 1711, 513, 2203, 602, 1138, 12885, 519, 2623, 540, 1719, 3928, 936, 942, 267, 543, 1287, 649, 3513, 1449, 938, 2203, 547, 1294, 952, 621, 8308, 9356, 1483, 8996, 2344, 1239, 780, 6524, 649, 4685, 883, 519, 3009, 267, 1577, 781, 1101, 1174, 930, 1883, 2035, 780, 1262, 19950, 26162, 543, 5494, 870, 11790, 4373, 19950, 3928, 616, 513, 4909, 1523, 538, 8804, 269, 1358, 2099, 519, 1942, 540, 24228, 2724, 610, 519, 2132, 593, 10115, 2724, 269, 769, 938, 2203, 267, 649, 786, 1445, 593, 1719, 3928, 585, 24228, 267, 799, 616, 3335, 6829, 607, 513, 6871, 540, 519, 2179, 22666, 780, 288, 10958, 3815, 568, 513, 1297, 602, 4564, 519, 1459, 1871, 540, 513, 2104, 6666, 2095, 269, 769, 824, 1913, 267, 621, 6645, 721, 875, 1454, 649, 1131, 991, 547, 1902, 2221, 547, 4309, 513, 1978, 2179, 538, 519, 2104, 267, 2016, 513, 1808, 1719, 2557, 269, 634, 4542, 585, 12719, 513, 10958, 3815, 568, 1384, 16465, 20728, 346, 11577, 870, 16748, 348, 815, 1422, 2765, 346, 272, 2410, 263, 272, 1341, 678, 8203, 339, 8679, 9681, 3602, 1269, 337, 259, 568, 519, 1719, 2557, 543, 1269, 339, 259, 568, 519, 942, 538, 1296, 780, 1262, 306, 1729, 577, 2880, 22948, 543, 918, 1716, 1564, 4373, 1103, 8804, 267, 649, 1419, 946, 32094, 3157, 547, 2203, 519, 2623, 540, 2883, 7405, 936, 942, 269, 589, 32094, 1184, 568, 513, 4015, 540, 4351, 4632, 602, 11457, 936, 942, 267, 543, 513, 32094, 17830, 568, 513, 6310, 1599, 602, 6257, 519, 5506, 540, 28006, 689, 835, 1533, 547, 1776, 538, 513, 32094, 1184, 780, 1103, 938, 2203, 267, 649, 786, 946, 513, 32094, 1184, 547, 18082, 519, 4720, 540, 1719, 3928, 936, 942, 267, 543, 649, 786, 946, 32094, 737, 1716, 1564, 547, 5173, 519, 5506, 540, 28006, 689, 835, 1719, 2557, 547, 1776, 780, 1262, 26329, 2836, 12299, 4373, 5629, 649, 723, 2813, 938, 2203, 267, 649, 991, 547, 1449, 621, 547, 1294, 952, 621, 8308, 9356, 1483, 8996, 2344, 1239, 269, 901, 1184, 568, 1572, 2203, 23363, 269, 769, 938, 2013, 267, 649, 786, 5635, 519, 10958, 2188, 6383, 676, 938, 2203, 547, 519, 10958, 2188, 7229, 689, 1483, 8996, 2344, 1239, 269, 1403, 519, 3017, 1063, 519, 1079, 568, 1507, 2614, 267, 649, 666, 2161, 602, 938, 2203, 568, 1134, 23343, 2320, 730, 780, 3086, 602, 649, 723, 513, 2596, 1620, 540, 519, 2035, 267, 1577, 781, 4685, 883, 519, 3009, 780, 5575, 267, 649, 991, 547, 3888, 519, 2556, 8021, 269, 1284, 786, 581, 1210, 17877, 267, 513, 5399, 585, 10230, 7384, 267, 543, 2233, 13695, 267, 513, 5399, 585, 3621, 7384, 269, 1677, 3888, 891, 8021, 267, 649, 666, 946, 519, 1739, 4971, 1384, 8199, 256, 26921, 3888, 11885, 1085, 27251, 454, 7884, 9202, 267, 649, 991, 547, 1104, 519, 2556, 13838, 1384, 3499, 7090, 454, 5814, 11885, 607, 5286, 454, 5228, 1085, 27251, 14714, 1846, 1104, 2343, 454, 5228, 1085, 27251, 269, 5793, 335, 25544, 1104, 11410, 272, 323, 454, 7884, 3086, 1577, 781, 5581, 930, 21635, 602, 649, 786, 946, 538, 938, 2203, 1384, 3499, 7090, 454, 339, 28804, 815, 476, 2568, 454, 339, 26174, 815, 476, 1911, 876, 454, 323, 815, 476, 1911, 476, 1948, 10155, 540, 519, 1533, 2230, 454, 343, 28804, 815, 910, 272, 269, 271, 454, 343, 26174, 815, 476, 272, 269, 271, 454, 333, 815, 476, 1911, 271, 476, 1948, 1297, 540, 942, 2798, 454, 12978, 815, 476, 271, 269, 272, 476, 1948, 1611, 10941, 542, 3432, 454, 6233, 318, 2017, 557, 815, 5286, 15126, 8443, 271, 269, 4905, 267, 476, 271, 269, 6349, 267, 476, 271, 269, 6734, 267, 476, 271, 269, 6860, 8079, 476, 1948, 1719, 2557, 7455, 454, 7884, 2080, 267, 2387, 339, 28804, 319, 543, 2387, 339, 26174, 319, 2099, 519, 5934, 543, 5021, 942, 2798, 585, 938, 11191, 267, 6606, 269, 2387, 323, 319, 568, 519, 10155, 540, 519, 1533, 2230, 267, 799, 538, 713, 2013, 568, 519, 1297, 540, 1719, 3928, 649, 786, 581, 9781, 269, 2387, 343, 28804, 319, 543, 2387, 343, 26174, 319, 616, 519, 5934, 543, 5021, 2418, 585, 519, 1719, 3928, 267, 6606, 269, 2387, 333, 319, 568, 519, 1297, 540, 942, 2798, 649, 786, 946, 538, 938, 11191, 269, 2387, 12978, 319, 568, 519, 1611, 10941, 542, 3432, 267, 799, 11887, 875, 3533, 519, 1719, 3928, 786, 556, 3200, 547, 741, 1279, 3856, 3328, 269, 7053, 267, 2387, 6233, 318, 2017, 557, 319, 568, 606, 5044, 540, 1719, 3928, 602, 649, 786, 946, 547, 26215, 622, 938, 2203, 780, 9202, 267, 649, 786, 1711, 513, 1599, 602, 12958, 513, 7470, 540, 942, 2798, 585, 938, 11191, 1384, 3499, 7090, 454, 339, 318, 19066, 815, 5286, 7456, 1231, 10628, 6025, 28804, 267, 512, 26174, 267, 562, 994, 7884, 1607, 1599, 3096, 519, 17877, 2387, 331, 1231, 10628, 319, 1599, 547, 5352, 606, 5044, 540, 2387, 333, 319, 14961, 22274, 942, 2798, 1063, 2387, 339, 28804, 319, 543, 2387, 339, 26174, 27471, 3086, 1577, 781, 1711, 513, 1362, 602, 4564, 938, 32094, 1184, 1384, 3499, 7090, 454, 5035, 1744, 26661, 26222, 14157, 12546, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 546, 267, 1535, 28804, 267, 1535, 26174, 267, 943, 328, 267, 29178, 267, 12498, 267, 3928, 318, 2017, 557, 2187, 1038, 1582, 6155, 815, 546, 454, 1038, 1582, 11859, 28804, 815, 1535, 28804, 454, 1038, 1582, 11859, 26174, 815, 1535, 26174, 454, 1038, 1582, 269, 12978, 815, 943, 328, 454, 1038, 1582, 4732, 7950, 815, 29178, 454, 1038, 1582, 12500, 9508, 815, 12498, 454, 1038, 1582, 269, 6233, 318, 2017, 557, 815, 3928, 318, 2017, 557, 454, 1038, 1582, 11859, 271, 815, 7183, 454, 1038, 1582, 6745, 4973, 318, 4134, 12248, 539, 14067, 27181, 17624, 1716, 1564, 815, 31460, 1038, 1582, 6745, 4973, 5091, 337, 3424, 318, 611 ]

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

[ 2647, 3099, 540, 13417, 19099, 1239, 2010, 543, 2959, 267, 1247, 1239, 16292, 17346, 616, 20979, 585, 13214, 532, 543, 8989, 593, 11295, 1239, 269, 4578, 544, 11301, 616, 2966, 547, 1683, 5059, 267, 4143, 1239, 547, 1808, 1870, 3252, 1369, 606, 3919, 269, 1635, 1620, 519, 3604, 1063, 891, 3435, 267, 3906, 666, 3442, 519, 835, 602, 1655, 10742, 741, 1808, 2115, 563, 18794, 519, 4578, 9453, 519, 23422, 7420, 2221, 543, 3605, 875, 547, 3927, 4383, 707, 1239, 609, 519, 1318, 2645, 543, 2553, 269, 6178, 909, 1631, 547, 1451, 811, 543, 1491, 707, 1239, 2359, 1983, 547, 519, 1985, 1377, 269, 1635, 11264, 713, 4161, 596, 786, 849, 7118, 606, 20211, 1228, 8672, 799, 786, 1491, 596, 835, 1900, 6251, 547, 930, 15813, 5616, 13192, 4210, 4711, 256, 0, 763, 2817, 11272, 27990, 19541, 630, 20911, 9654, 264, 568, 513, 1982, 602, 6663, 547, 2333, 519, 10073, 540, 3167, 6472, 630, 14110, 338, 264, 538, 519, 2136, 2276, 676, 3384, 12123, 5989, 543, 5009, 7082, 4656, 269, 1306, 851, 540, 713, 4674, 267, 519, 17252, 9654, 1982, 814, 13175, 547, 7520, 519, 5137, 540, 513, 3060, 540, 12123, 10473, 2066, 519, 2197, 547, 1489, 519, 3395, 1297, 540, 12601, 338, 593, 519, 4155, 269, 769, 713, 5816, 267, 649, 786, 1865, 875, 519, 17252, 9654, 1982, 1568, 585, 3167, 6174, 12123, 543, 922, 1764, 593, 519, 12601, 2344, 563, 2419, 1173, 532, 24486, 4886, 454, 763, 17252, 9654, 1982, 568, 5059, 593, 519, 1646, 540, 12123, 5989, 267, 799, 568, 2565, 585, 519, 7839, 10073, 540, 12601, 338, 269, 634, 1982, 7028, 519, 10380, 540, 1114, 2010, 540, 12123, 10473, 267, 1519, 5426, 476, 272, 267, 5426, 476, 273, 267, 543, 9823, 3728, 5056, 619, 269, 5426, 476, 272, 5056, 619, 616, 3335, 1031, 693, 1753, 610, 960, 267, 543, 789, 666, 1683, 513, 2407, 5279, 547, 606, 12601, 538, 827, 476, 1321, 268, 736, 3108, 269, 5426, 476, 273, 5056, 619, 616, 5488, 543, 666, 1683, 513, 2407, 5279, 538, 476, 276, 268, 1015, 3108, 269, 9823, 3728, 5056, 619, 616, 2943, 3728, 543, 666, 1683, 513, 2407, 5279, 538, 827, 476, 1789, 268, 2568, 3764, 563, 763, 17252, 9654, 1982, 729, 5097, 2919, 547, 1489, 519, 1646, 540, 12123, 23725, 832, 267, 799, 616, 21018, 540, 19814, 609, 513, 3126, 540, 12123, 10473, 269, 1452, 23725, 832, 616, 2966, 547, 948, 12601, 10256, 2951, 3476, 9883, 1510, 20468, 827, 4881, 856, 540, 1379, 269, 1306, 540, 476, 1708, 272, 267, 972, 616, 936, 476, 9873, 267, 1822, 1857, 12123, 16788, 538, 519, 2136, 2276, 267, 609, 4566, 547, 3888, 811, 538, 519, 4947, 1296, 563, 23220, 7627, 19901, 17607, 454, 1103, 1840, 547, 3384, 12123, 5989, 267, 519, 17252, 9654, 1982, 568, 849, 5059, 593, 5009, 7082, 4656, 827, 12601, 338, 269, 634, 1982, 2488, 2069, 543, 23793, 547, 6800, 267, 1519, 1344, 827, 519, 2640, 540, 12601, 338, 267, 2139, 15314, 267, 543, 875, 547, 3442, 519, 1318, 6174, 585, 741, 2115, 269, 634, 17252, 9654, 1982, 849, 1568, 609, 8639, 267, 971, 607, 3678, 5474, 267, 20848, 267, 543, 2229, 8041, 267, 547, 1020, 543, 2936, 2994, 547, 2333, 12601, 10073, 563, 25842, 593, 519, 12601, 10369, 454, 763, 17252, 9654, 1982, 814, 1185, 513, 1713, 1764, 593, 519, 12601, 2344, 538, 519, 2136, 2276, 269, 634, 1982, 568, 4543, 547, 2333, 519, 1297, 540, 12123, 10473, 267, 1818, 621, 4443, 585, 12601, 10256, 547, 2951, 3476, 9883, 269, 901, 814, 5280, 547, 2232, 835, 540, 519, 1292, 4145, 540, 1761, 12601, 18046, 1107, 2039, 4160, 269, 1306, 513, 1267, 267, 519, 12601, 2344, 814, 6738, 3648, 538, 2487, 1296, 269, 769, 476, 1708, 272, 267, 6455, 540, 12601, 338, 538, 519, 2136, 2276, 6603, 513, 2594, 1164, 267, 609, 936, 476, 10384, 267, 1822, 6472, 4421, 563, 1103, 3932, 267, 519, 2817, 11272, 27990, 19541, 630, 20911, 9654, 264, 1982, 568, 606, 1271, 4674, 547, 2333, 519, 10073, 540, 3167, 6472, 538, 519, 2136, 2276, 269, 634, 1982, 568, 5059, 593, 519, 1646, 540, 12123, 5989, 543, 5009, 7082, 4656, 269, 2060, 936, 476, 9873, 267, 1822, 1857, 12123, 16788, 538, 519, 2197, 543, 3395, 7082, 1719, 538, 12601, 338, 267, 519, 17252, 9654, 1982, 568, 4543, 547, 17362, 519, 1259, 585, 513, 811, 4264, 2104, 269, 10738, 519, 5063, 5293, 5606, 3175, 22159, 2920, 630, 296, 6938, 264, 3915, 267, 519, 8549, 6554, 814, 8149, 1269, 276, 5479, 538, 15314, 585, 12601, 932, 24147, 10380, 2066, 519, 2197, 269, 2755, 519, 17252, 9654, 24539, 1982, 814, 711, 1044, 4628, 968, 9776, 856, 892, 538, 782, 519, 2829, 2943, 267, 1142, 1533, 568, 735, 4979, 741, 1378, 3853, 543, 24539, 3889, 267, 609, 519, 2832, 547, 5305, 4808, 547, 4309, 891, 15314, 676, 519, 1439, 540, 476, 1708, 274, 269, 4495, 891, 7482, 2253, 547, 1118, 741, 1259, 5196, 519, 2344, 267, 649, 2503, 891, 7482, 547, 17108, 519, 10073, 540, 12601, 932, 1173, 619, 18487, 269, 0, 22826, 1434, 5711, 6208, 547, 707, 1126, 568, 513, 4105, 1072, 3992, 563, 1607, 2882, 4543, 873, 11453, 741, 4522, 7466, 513, 1554, 267, 12145, 24494, 16152, 1063, 6980, 267, 543, 20319, 2834, 5959, 18362, 563, 2171, 4363, 602, 1453, 1058, 723, 741, 1101, 5959, 3643, 676, 519, 2085, 540, 1079, 269, 901, 3643, 2488, 606, 4316, 585, 519, 4387, 547, 6895, 707, 1126, 779, 5959, 2208, 543, 1646, 267, 607, 1134, 607, 13599, 596, 827, 5694, 1646, 267, 519, 2956, 540, 21973, 267, 875, 547, 2226, 1697, 5711, 9882, 267, 543, 875, 547, 2232, 5711, 6208, 971, 607, 31390, 8595, 946, 563, 2791, 666, 1451, 827, 2732, 543, 6484, 543, 875, 547, 2061, 5711, 7063, 269, 11408, 6655, 513, 2318, 10182, 2509, 5959, 11564, 547, 707, 1126, 267, 3746, 2358, 519, 2956, 540, 4509, 1434, 5711, 1072, 269, 1635, 3257, 865, 267, 596, 666, 2333, 519, 10171, 602, 707, 1126, 786, 3136, 547, 1294, 513, 11290, 5781, 2429, 741, 1272, 269, 0, 10303, 540, 741, 7347, 5920, 267, 11149, 616, 1419, 2808, 7938, 1752, 344, 543, 5230, 563, 5415, 9897, 267, 13123, 543, 7841, 1811, 616, 711, 519, 3070, 269, 898, 568, 811, 24534, 547, 1732, 3351, 1047, 519, 4540, 5989, 269, 1635, 24317, 811, 609, 1447, 5322, 543, 676, 15175, 24672, 1063, 7841, 267, 4155, 543, 1216, 269, 23985, 602, 22587, 547, 1312, 19057, 543, 1098, 327, 26802, 267, 855, 849, 513, 2797, 543, 1514, 6662, 269, 2060, 2101, 8739, 20300, 5383, 543, 2825, 2640, 563, 2005, 568, 711, 1510, 2601, 602, 519, 3560, 2872, 814, 1044, 10478, 585, 606, 954, 7116, 531, 3560, 1770, 585, 5756, 269, 589, 2413, 3560, 1062, 609, 4264, 2640, 585, 782, 6105, 3238, 269, 1656, 602, 7028, 513, 3560, 3060, 602, 18715, 4398, 282, 538, 2474, 540, 1942, 267, 519, 1604, 543, 519, 7569, 1500, 540, 519, 5989, 563, 1103, 2487, 1296, 713, 7678, 814, 1044, 9244, 9415, 676, 519, 3864, 5742, 269, 634, 476, 3393, 1111, 1523, 568, 519, 2626, 547, 519, 16858, 540, 519, 3864, 5742, 267, 519, 2344, 543, 1585, 2825, 2962, 2516, 269, 634, 476, 3393, 1111, 1523, 849, 3217, 5021, 5413, 540, 3864, 9086, 563, 288, 3677, 18535, 2230, 630, 1556, 269, 1839, 260, 538, 2698, 982, 922, 476, 2412, 1111, 6697, 264, 5916, 609, 513, 17426, 8708, 1523, 18715, 7864, 5322, 267, 4389, 2825, 1764, 543, 2539, 4492, 4616, 563, 763, 476, 3393, 1111, 8708, 666, 581, 17411, 609, 519, 1482, 5989, 630, 4944, 1348, 619, 267, 4395, 331, 604, 1562, 267, 2269, 9536, 548, 19057, 267, 3092, 4700, 607, 1031, 585, 476, 2412, 1111, 11149, 563, 24965, 794, 540, 519, 12539, 11640, 7584, 1164, 593, 519, 16786, 540, 1082, 24317, 3549, 0, 763, 1101, 1448, 540, 4168, 2219, 543, 2259, 568, 547, 1174, 519, 2474, 281, 4984, 267, 3661, 267, 5132, 267, 543, 17035, 269, 15215, 267, 4016, 547, 519, 21689, 1871, 1995, 2853, 543, 4978, 540, 519, 2146, 269, 634, 2542, 6257, 3661, 607, 513, 14820, 602, 1945, 568, 3020, 2523, 1945, 602, 1223, 2760, 454, 763, 7503, 540, 4790, 14932, 5129, 513, 1713, 1909, 538, 513, 3099, 540, 2081, 1369, 519, 1686, 5939, 540, 519, 5783, 269, 1306, 971, 267, 930, 540, 519, 811, 7986, 3283, 786, 581, 5941, 23954, 269, 3689, 267, 519, 5783, 6410, 689, 3297, 519, 1225, 1555, 547, 4099, 3942, 540, 2528, 543, 1686, 269, 13405, 547, 4790, 14932, 779, 7503, 267, 8567, 11124, 14831, 3585, 693, 519, 3946, 540, 519, 4936, 7276, 1419, 1317, 789, 941, 2938, 607, 968, 7752, 626, 892, 543, 538, 11685, 547, 519, 2757, 543, 32219, 4936, 2081, 269, 1717, 267, 998, 519, 7503, 540, 4790, 14932, 267, 8567, 729, 711, 3476, 2808, 519, 4984, 540, 519, 856, 4751, 543, 796, 14445, 730, 269, 3767, 267, 1282, 519, 12081, 540, 4790, 14932, 621, 729, 782, 855, 519, 4013, 4984, 540, 519, 4936, 7276, 267, 543, 1256, 930, 1296, 2663, 621, 2968, 519, 4013, 4984, 540, 519, 10504, 896, 519, 12081, 540, 23323, 657, 3780, 269, 10271, 3459, 547, 581, 5116, 538, 7158, 540, 6392, 543, 8956, 269, 769, 2490, 267, 972, 729, 606, 2810, 2463, 585, 519, 2899, 9011, 3042, 4984, 269, 5822, 267, 543, 5702, 28330, 267, 1813, 547, 519, 2673, 2078, 540, 5783, 543, 3557, 267, 8567, 1131, 1847, 689, 513, 1747, 540, 30201, 3176, 543, 6710, 547, 513, 1747, 540, 6392, 543, 5763, 267, 1256, 267, 8909, 569, 267, 693, 2053, 30201, 5024, 1866, 269, 16828, 267, 713, 27503, 454, 13051, 577, 5658, 910, 20227, 12708, 338, 8567, 568, 513, 634, 1143, 23381, 602, 6212, 593, 519, 3661, 538, 835, 2123, 543, 22228, 2696, 602, 2813, 782, 602, 6818, 630, 295, 3796, 267, 1299, 8055, 267, 476, 1001, 276, 1040, 2696, 2813, 812, 538, 1010, 6010, 8864, 547, 1416, 585, 782, 602, 814, 1044, 2813, 267, 547, 917, 543, 10847, 2696, 267, 543, 547, 2648, 543, 23491, 2696, 630, 11795, 5674, 267, 476, 1001, 276, 1040, 2494, 568, 547, 4341, 543, 723, 2531, 514, 542, 936, 519, 3618, 267, 581, 4829, 995, 543, 9062, 267, 11423, 519, 3618, 630, 7049, 8412, 476, 272, 281, 2764, 1040, 10271, 7048, 593, 519, 1489, 540, 519, 10513, 6426, 547, 3391, 873, 538, 519, 2262, 540, 2696, 269, 634, 6426, 2874, 540, 2185, 2596, 6411, 267, 519, 20520, 267, 519, 12096, 540, 5274, 640, 267, 4414, 18277, 267, 543, 26198, 630, 11795, 5674, 267, 476, 1001, 276, 1040, 10271, 3494, 602, 2696, 2366, 1010, 1152, 12312, 547, 5884, 593, 519, 3444, 585, 741, 20778, 269, 769, 713, 1957, 786, 581, 513, 1445, 593, 519, 4168, 23381, 7234, 2696, 267, 8103, 267, 4906, 2676, 288, 1749, 547, 519, 12618, 540, 8567, 538, 519, 4936, 7276, 769, 519, 4936, 31511, 1141, 519, 11342, 10847, 540, 4936, 10971, 941, 791, 5966, 543, 1705, 711, 1683, 513, 5837, 3490, 610, 513, 5048, 540, 4126, 267, 538, 519, 8772, 2540, 8567, 729, 4646, 267, 4535, 607, 513, 3350, 1369, 17194, 269, 8567, 15091, 519, 454, 22146, 640, 3459, 922, 19588, 883, 519, 1034, 8789, 5001, 4984, 1310, 4906, 685, 16961, 32267, 542, 543, 24446, 269, 968, 2171, 4862, 13924, 2161, 267, 2048, 296, 786, 6861, 713, 11454, 1500, 609, 3946, 267, 543, 1369, 1614, 2395, 1628, 1776, 1500, 1510, 3946, 1848, 16270, 4906, 685, 2669, 543, 24446, 267, 646, 6192, 713, 4305, 4259, 8521, 519, 1646, 540, 8567, 269, 4595, 4906, 2451, 1100, 6101, 22265, 1379, 267, 3919, 267, 610, 8815, 2390, 30920, 267, 513, 2647, 3099, 540, 3392, 338, 6591, 8560, 538, 519, 1646, 540, 8567, 269, 4107, 540, 891, 3392, 338, 941, 2663, 16363, 607, 1934, 6776, 267, 835, 540, 519, 1034, 8037, 1373, 717, 333, 739, 6291, 269, 717, 333, 739, 6291, 729, 513, 12242, 626, 4984, 18468, 519, 1570, 1158, 9409, 543, 519, 15865, 6891, 7706, 1434, 269, 901, 3661, 8078, 730, 717, 333, 739, 6291, 547, 1246, 9022, 2045, 12496, 269, 9022, 564, 1143, 568, 519, 3661, 602, 4906, 729, 2760, 5963, 812, 855, 2864, 513, 10143, 689, 519, 6891, 1158, 269, 2353, 3029, 540, 8567, 267, 2705, 267, 3494, 4906, 568, 5067, 540, 2696, 2366, 607, 8103, 779, 5260, 1640, 689, 2481, 31766, 269, 9022, 564, 1143, 267, 2059, 609, 824, 3344, 540, 717, 333, 739, 6291, 267, 22755, 824, 10271, 18149, 333, 717, 333, 739, 6291, 607, 646, 637, 344, 269, 717, 333, 739, 6291, 267, 2705, 267, 568, 811, 13380, 547, 32588, 673, 10271 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2488, 519, 16311, 1218, 609, 8216, 5955, 267, 1312, 2318, 543, 2942, 267, 547, 948, 873, 2087, 538, 1483, 6066, 780, 274, 269, 5304, 3310, 281, 1514, 2923, 814, 2016, 519, 5304, 513, 575, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 563, 268, 16992, 543, 5188, 281, 1711, 12300, 3197, 945, 4497, 538, 6209, 7391, 267, 4543, 547, 2491, 543, 2263, 519, 2257, 2035, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 269, 0, 3848, 7170, 281, 28763, 4472, 2065, 29526, 538, 9085, 281, 1133, 24286, 3733, 560, 673, 6399, 902, 692, 7072, 912, 5970, 596, 2479, 1224, 513, 1433, 602, 1500, 596, 1745, 899, 972, 941, 6456, 6835, 1063, 519, 3515, 286, 5620, 596, 2479, 9289, 952, 4589, 946, 6698, 610, 9479, 547, 6655, 4514, 10096, 538, 741, 2984, 286, 4270, 267, 789, 798, 256, 1656, 835, 971, 1505, 2501, 689, 606, 3504, 2245, 1572, 28763, 4472, 1695, 269, 4653, 267, 649, 786, 2263, 713, 12357, 1158, 540, 13513, 543, 1294, 875, 621, 814, 6766, 3332, 2429, 1686, 269, 1924, 10544, 707, 3206, 22970, 267, 543, 1577, 781, 4685, 883, 519, 4241, 7706, 540, 28763, 4472, 2065, 29526, 2439, 4089, 476, 272, 281, 1548, 568, 28763, 4472, 1695, 888, 298, 629, 4472, 1695, 630, 29455, 737, 7795, 1532, 1695, 268, 1663, 327, 264, 568, 513, 25386, 6014, 2245, 602, 13290, 547, 1174, 519, 2470, 540, 2696, 543, 519, 7122, 676, 4974, 10723, 5931, 269, 898, 781, 513, 3787, 899, 6061, 513, 11015, 282, 28763, 4472, 1235, 3494, 602, 1169, 2262, 267, 4484, 267, 543, 1256, 18685, 1665, 3568, 10143, 7326, 7996, 547, 581, 4362, 269, 1635, 6313, 891, 3877, 5702, 267, 3988, 666, 10625, 6106, 540, 2495, 3564, 519, 21055, 1257, 269, 15346, 267, 1318, 31841, 4089, 476, 273, 281, 28763, 4472, 2065, 10326, 540, 5020, 454, 288, 1713, 1523, 538, 28763, 4472, 1695, 568, 519, 834, 21698, 540, 5020, 2437, 799, 4564, 519, 2497, 540, 519, 7122, 543, 938, 20339, 269, 901, 3529, 5161, 540, 4557, 10562, 21384, 630, 21406, 694, 25206, 8527, 1070, 1142, 609, 2189, 7907, 602, 948, 721, 1732, 10146, 6000, 543, 519, 1158, 1472, 721, 269, 1452, 21384, 616, 4448, 676, 10092, 4904, 609, 1648, 267, 1175, 899, 5348, 22663, 20590, 538, 707, 2634, 256, 2913, 781, 4952, 891, 21384, 607, 5820, 538, 513, 11600, 1107, 950, 5916, 21176, 267, 789, 3132, 1945, 8949, 1572, 1620, 269, 962, 636, 2439, 4089, 476, 274, 281, 5463, 5317, 29526, 538, 12267, 454, 3086, 602, 649, 917, 827, 28763, 4472, 1695, 1577, 781, 3605, 875, 4589, 946, 922, 10752, 547, 1039, 3178, 547, 741, 6386, 269, 1358, 1522, 6451, 2609, 540, 519, 10326, 540, 5020, 1369, 3197, 267, 5468, 267, 610, 4729, 6050, 269, 1280, 3236, 267, 513, 1915, 949, 18220, 3344, 540, 2789, 694, 25206, 8527, 267, 10452, 741, 1950, 7209, 7592, 269, 2107, 5310, 513, 1650, 4652, 9529, 2059, 519, 11444, 8220, 519, 694, 25206, 8527, 267, 13031, 513, 3460, 2509, 1582, 22523, 610, 21481, 780, 7078, 5384, 2336, 5331, 2542, 513, 3209, 1141, 519, 16502, 2377, 10225, 593, 513, 2168, 1391, 2066, 1585, 3338, 1247, 8195, 18460, 3929, 2208, 269, 3962, 4087, 1223, 2099, 513, 12106, 593, 519, 28763, 4472, 2065, 10326, 540, 5020, 267, 29544, 3982, 5933, 538, 1312, 741, 5007, 7045, 543, 4835, 7004, 269, 1215, 3579, 1131, 621, 581, 547, 1246, 2059, 607, 789, 18214, 20733, 998, 2591, 267, 11543, 1007, 4030, 693, 1142, 1900, 2394, 8757, 519, 10700, 3804, 1107, 9322, 609, 519, 10143, 2496, 6962, 912, 3528, 3695, 28763, 4472, 2065, 29526, 267, 596, 1631, 723, 1776, 1907, 547, 21264, 5339, 1568, 811, 7184, 982, 1354, 269, 3807, 3314, 602, 30196, 891, 11580, 3217, 2259, 543, 9639, 269, 5901, 606, 3750, 856, 585, 18596, 4798, 267, 3270, 267, 610, 2338, 538, 2835, 267, 607, 789, 1522, 3180, 10881, 547, 6456, 10096, 269, 8414, 2542, 267, 3713, 1161, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 8056, 580, 7949, 28881, 454, 15933, 267, 23532, 640, 267, 543, 4144, 23159, 454, 309, 643, 1014, 715, 684, 8065, 528, 534, 454, 299, 25604, 14473, 595, 6020, 12087, 26113, 1315, 4937, 700, 25604, 14473, 595, 6020, 12087, 26113, 1315, 3979, 700, 25604, 14473, 595, 6020, 12087, 26113, 1315, 1977, 1315, 3979, 12677, 700, 25604, 14473, 595, 6020, 12087, 26113, 1315, 1977, 1315, 7489, 1977, 700, 25604, 14473, 595, 6020, 12087, 26113, 1315, 1977, 1315, 17104, 1977, 700, 25604, 14473, 595, 6020, 12087, 26113, 1315, 7489, 1315, 4457, 700, 25604, 14473, 595, 6020, 12087, 26113, 1315, 7489, 1315, 5545, 700, 25604, 14473, 595, 6020, 12087, 26113, 1315, 7489, 1315, 4937, 700, 25604, 14473, 595, 6020, 12087, 26113, 1315, 7489, 1315, 25824, 700, 25604, 14473, 595, 6020, 12087, 26113, 1315, 12144, 1299, 5824, 1977, 700, 25604, 14473, 595, 6020, 12087, 26113, 1315, 3864, 1315, 4937, 700, 25604, 14473, 595, 6020, 12087, 26113, 1315, 6014, 700, 25604, 14473, 595, 6020, 12087, 26113, 1315, 6739, 1299, 4813, 518, 8168, 5742, 700, 25604, 14473, 595, 6020, 12087, 26113, 1315, 5664, 8109, 454, 7277, 6032, 269, 476, 277, 343, 280, 454, 259, 3066, 269, 4817, 1957, 476, 7818, 268, 271, 268, 279, 1691, 273, 268, 276, 2918, 278, 268, 274, 454, 259, 3066, 269, 4817, 7300, 26496, 476, 7818, 268, 271, 268, 279, 1691, 273, 268, 278, 4510, 276, 268, 274, 454, 24576, 7300, 26496, 454, 4537, 25891, 14295, 27491, 454, 18800, 270, 27087, 19255, 4771, 14295, 1299, 6744, 13050, 454, 10527, 8056, 580, 7949, 28881, 6770, 1927, 5931, 689, 5830, 4947, 856, 540, 1114, 19366, 5389, 267, 543, 922, 3350, 998, 519, 3584, 8151, 689, 11776, 547, 21939, 547, 1163, 27074, 566, 5433, 3501, 547, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 298, 629, 4472, 2065, 29526, 257, 607, 851, 540, 834, 299, 25604, 14473, 595, 6020, 12087, 26113, 1315, 6014, 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, 6092, 5149, 281, 6555, 1588, 910, 1133, 24286, 31981, 540, 519, 8892, 692, 5970, 596, 2479, 9289, 952, 972, 781, 513, 1259, 547, 917, 1018, 6013, 6619, 286, 10801, 1686, 267, 1004, 782, 1472, 519, 1158, 723, 6836, 547, 1265, 4267, 547, 741, 2055, 827, 519, 2104, 998, 1585, 2409, 267, 835, 540, 799, 568, 2820, 1588, 269, 2913, 781, 7832, 593, 513, 3460, 547, 3605, 875, 3504, 4457, 10340, 13736, 2820, 1588, 2439, 1432, 568, 6555, 1588, 888, 2411, 21387, 5331, 1373, 2111, 547, 3589, 519, 2104, 676, 16208, 4191, 543, 6698, 1107, 602, 779, 1018, 2820, 1588, 568, 782, 827, 256, 4658, 1131, 946, 1114, 2645, 899, 7633, 267, 10007, 267, 610, 1256, 14854, 16115, 547, 4309, 6835, 689, 14326, 610, 10971, 945, 4371, 519, 11580, 540, 14182, 269, 1452, 25386, 2853, 941, 5156, 547, 1683, 5583, 543, 948, 2043, 6330, 1272, 781, 2591, 543, 3664, 780, 1692, 9894, 9147, 4457, 6657, 6555, 1588, 888, 14343, 21387, 3080, 4241, 1383, 2501, 689, 2038, 3624, 267, 1282, 519, 1744, 836, 19092, 630, 19925, 476, 8182, 271, 1700, 10441, 277, 7460, 1070, 950, 18840, 5505, 4362, 1945, 6909, 269, 1358, 20114, 13742, 971, 607, 3404, 1085, 777, 10358, 630, 29019, 518, 19059, 264, 543, 14854, 726, 770, 6425, 630, 321, 18847, 16115, 264, 609, 9490, 24795, 1500, 1210, 3595, 269, 1548, 1223, 891, 7654, 1611, 2496, 4322, 7436, 616, 2965, 5638, 540, 2820, 1588, 7886, 256, 1635, 7311, 3002, 547, 1808, 2798, 593, 891, 3662, 2694, 267, 18015, 1131, 2408, 267, 8108, 2189, 3270, 269, 4787, 2683, 2820, 29794, 1287, 6594, 1346, 3270, 267, 5275, 7326, 543, 1620, 827, 3871, 789, 5185, 269, 901, 1505, 267, 1634, 607, 7510, 668, 3599, 267, 5280, 873, 1451, 811, 827, 13137, 2994, 267, 3771, 341, 3949, 267, 610, 824, 1713, 2621, 780, 3719, 7227, 267, 938, 3408, 3085, 1405, 3247, 1934, 256, 1703, 781, 1776, 10578, 1650, 827, 594, 932, 532, 267, 849, 1634, 607, 519, 3883, 540, 15448, 267, 799, 2968, 606, 1898, 3391, 585, 1082, 5481, 269, 898, 3568, 476, 5038, 15279, 22329, 1765, 338, 1460, 3515, 2901, 7745, 610, 4396, 267, 30528, 1079, 2390, 1142, 824, 269, 1215, 798, 649, 1224, 873, 286, 4270, 267, 1175, 899, 12902, 18062, 267, 596, 666, 5352, 4351, 2338, 610, 1899, 10659, 547, 1711, 707, 10531, 15279, 8183, 269, 3962, 4999, 6585, 922, 1378, 2495, 543, 7664, 267, 5356, 4030, 883, 3309, 3344, 540, 1480, 6228, 780, 3963, 9701, 1284, 5530, 6555, 1588, 4653, 888, 5785, 19030, 4407, 930, 949, 8044, 2436, 2820, 1588, 5963, 8761, 519, 2104, 267, 1565, 827, 891, 3140, 2853, 3947, 721, 3407, 5813, 883, 875, 3425, 8179, 1702, 1354, 2257, 3576, 4099, 3942, 269, 3958, 267, 3695, 2686, 4978, 543, 5389, 2636, 721, 547, 5660, 4763, 543, 11942, 6568, 2509, 1866, 269, 1656, 1577, 781, 16153, 621, 282, 3884, 1405, 621, 1187, 547, 4952, 11523, 1782, 11642, 27283, 12357, 6698, 1247, 6947, 547, 26866, 619, 540, 1279, 16519, 326, 13516, 2984, 2496, 1103, 3932, 267, 18167, 883, 519, 7706, 540, 2820, 1588, 3091, 721, 513, 19214, 883, 8103, 781, 1391, 585, 1620, 543, 4276, 2429, 942, 269, 1924, 1985, 942, 596, 7237, 14542, 9821, 610, 5389, 267, 3314, 602, 1169, 2528, 11438, 922, 1378, 1305, 540, 13655, 7996, 547, 581, 8268, 2439, 8002, 8481, 912, 1366, 7042, 265, 8073, 707, 1360, 1378, 2241, 2820, 1588, 1907, 693, 1753, 1210, 1957, 29578, 610, 11113, 269, 25849, 2418, 543, 4612, 741, 10659, 1759, 593, 4798, 4143, 547, 707, 3232, 1272, 267, 971, 607, 7446, 1063, 2238, 610, 1818, 1507, 3664, 563, 265, 3194, 824, 3029, 540, 2820, 1588, 2066, 1114, 4529, 543, 5635, 741, 10486, 543, 3604, 269, 9181, 1946, 1978, 3615, 610, 3157, 1522, 3180, 12572, 4644, 1369, 1880, 7239, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21202, 5618, 1686, 540, 4457, 634, 8427, 7136, 720, 454, 763, 476, 277, 23046, 16319, 454, 291, 7776, 626, 10326, 25990, 454, 304, 580, 784, 543, 25990, 454, 763, 3163, 540, 519, 476, 7367, 21998, 454, 288, 16684, 3778, 540, 4457, 634, 8427, 7136, 720, 454, 3528, 15623, 16019, 267, 700, 6993, 322, 563, 763, 9354, 18552, 7936, 540, 2757, 4457, 4915, 568, 1572, 834, 14654, 2088, 257, 538, 2413, 4457, 267, 799, 12777, 1797, 834, 335, 5241, 630, 663, 264, 30230, 4771, 1701, 1717, 267, 713, 2165, 1705, 711, 2049, 538, 519, 4457, 3332, 2394, 519, 30721, 15913, 630, 15793, 279, 268, 13932, 275, 264, 1141, 621, 1101, 7902, 538, 513, 1433, 593, 12963, 8913, 2088, 630, 320, 7463, 7936, 1422, 1993, 4457, 18552, 1040, 13405, 547, 713, 1974, 267, 519, 1034, 2442, 2165, 585, 9354, 18552, 729, 834, 534, 15879, 257, 799, 12777, 1797, 834, 335, 7675, 630, 663, 264, 27012, 4799, 2304, 15879, 814, 5129, 606, 1271, 1909, 538, 519, 2259, 540, 4915, 538, 3624, 2094, 3504, 2053, 269, 1488, 3832, 5505, 267, 4974, 519, 1202, 18587, 1336, 593, 7633, 543, 12475, 18857, 16115, 1031, 538, 2820, 1588, 2259, 267, 723, 1336, 8100, 547, 18552, 2126, 585, 10108, 2854, 538, 795, 328, 16331, 30591, 267, 519, 9998, 31607, 1106, 540, 1603, 538, 3624, 267, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 19667, 1588, 257, 607, 851, 540, 834, 289, 7495, 312, 267, 631, 18853, 1299, 9501, 7644, 3951, 1315, 12769, 738, 1143, 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 ]

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

[ 1631, 269, 9894, 596, 917, 789, 4769, 1405, 723, 1082, 2924, 3379, 547, 2367, 286, 1358, 7948, 1405, 1256, 8917, 2439, 7692, 281, 26272, 267, 2731, 286, 2334, 1590, 723, 1044, 9157, 269, 1924, 1018, 1705, 789, 798, 952, 789, 7948, 1405, 960, 610, 1118, 741, 1378, 5079, 2496, 8334, 281, 3509, 540, 873, 3893, 9310, 1762, 543, 2968, 4630, 655, 5474, 267, 3168, 1310, 741, 8152, 27512, 543, 3214, 269, 1809, 930, 1869, 1336, 2081, 547, 2769, 2933, 998, 6752, 267, 899, 9849, 4190, 14446, 2439, 7692, 281, 13259, 9811, 267, 14446, 256, 12984, 333, 1405, 602, 513, 2462, 4308, 1282, 519, 16972, 16527, 286, 3733, 3158, 14560, 10655, 25447, 4773, 2439, 8334, 281, 25999, 256, 1656, 1934, 781, 1141, 621, 4991, 811, 3078, 269, 4438, 713, 942, 267, 13049, 619, 3323, 2870, 1035, 549, 10973, 14446, 1765, 4777, 596, 917, 1018, 602, 1797, 2496, 7692, 281, 3143, 2856, 267, 2995, 803, 811, 2439, 8334, 281, 28514, 256, 1924, 267, 1035, 549, 10973, 14446, 814, 17576, 18429, 11231, 538, 971, 513, 1259, 602, 789, 1106, 1913, 610, 2453, 950, 1224, 538, 1931, 1210, 519, 1101, 4484, 540, 1142, 6149, 269, 1280, 3236, 267, 16692, 2752, 1522, 581, 6719, 676, 14776, 267, 900, 14283, 267, 993, 996, 22438, 267, 543, 6299, 344, 269, 27355, 1405, 602, 3579, 2496, 7692, 281, 5808, 320, 256, 2334, 4992, 899, 513, 5728, 3009, 1175, 585, 21031, 256, 1215, 1131, 2576, 4137, 602, 856, 1498, 286, 6145, 267, 952, 789, 4718, 2576, 9849, 971, 513, 4062, 2496, 8334, 281, 6153, 2243, 256, 7982, 1287, 267, 6616, 827, 21889, 543, 10007, 1131, 948, 269, 27009, 267, 649, 666, 1382, 2228, 610, 2307, 4966, 269, 23657, 1259, 267, 621, 2982, 721, 875, 3860, 1004, 1031, 547, 1205, 1247, 13167, 17960, 2439, 7692, 281, 23010, 267, 2523, 1317, 2021, 1185, 3908, 22624, 6382, 269, 901, 2306, 803, 5660, 1346, 6456, 6835, 3297, 519, 7168, 9925, 1564, 2439, 8334, 281, 22549, 256, 22960, 3884, 1405, 1152, 827, 5654, 282, 3006, 267, 621, 11438, 4514, 10096, 1932, 269, 3807, 4952, 782, 519, 2984, 891, 2025, 16782, 1223, 2671, 2439, 314, 288, 1906, 2395, 2663, 267, 1247, 9683, 513, 4278, 3424, 4558, 1862, 6540, 7692, 281, 6733, 267, 7705, 256, 6744, 856, 713, 1327, 8208, 256, 898, 2186, 320, 19595, 803, 540, 519, 16972, 16527, 8631, 596, 5143, 803, 827, 780, 8334, 281, 2913, 803, 1294, 256, 744, 2129, 267, 621, 1281, 1413, 2147, 256, 1684, 596, 1589, 621, 814, 1022, 2027, 2495, 7923, 547, 621, 2496, 7692, 281, 3502, 2386, 267, 855, 6148, 649, 1223, 2119, 23115, 621, 856, 1927, 256, 9320, 621, 28542, 1945, 856, 899, 707, 1035, 549, 10973, 1383, 780, 8334, 281, 5696, 650, 5050, 2856, 256, 1284, 666, 1376, 676, 7114, 519, 10007, 543, 7487, 952, 789, 1246, 1022, 4806, 269, 1403, 4986, 3116, 267, 1565, 827, 1686, 2141, 7959, 14785, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 23322, 2524, 543, 3778, 540, 853, 7342, 16972, 16527, 4035, 601, 787, 454, 309, 1112, 20187, 16527, 630, 8146, 278, 1107, 476, 5002, 272, 994, 2005, 2693, 4465, 1406, 2097, 607, 513, 8710, 602, 519, 16972, 16527, 568, 3957, 1310, 10348, 15117, 267, 945, 4371, 519, 3703, 17599, 689, 476, 8146, 278, 547, 476, 5002, 272, 269, 5221, 540, 922, 3259, 267, 519, 5736, 568, 3335, 7745, 909, 883, 1614, 5712, 912, 268, 634, 21434, 11270, 630, 8146, 278, 547, 476, 5908, 271, 994, 268, 634, 4400, 16972, 11270, 630, 5908, 271, 547, 476, 6642, 276, 994, 268, 634, 17623, 16972, 11270, 630, 6642, 276, 547, 476, 5002, 272, 994, 305, 558, 4842, 1974, 16972, 14446, 11148, 547, 581, 476, 1240, 737, 541, 520, 4154, 267, 609, 2539, 737, 541, 520, 4154, 14446, 5186, 6137, 909, 1310, 476, 6977, 275, 563, 27269, 950, 1004, 1589, 540, 16972, 268, 5028, 14446, 267, 3357, 657, 616, 519, 1101, 3364, 602, 2501, 547, 2247, 269, 589, 3357, 334, 568, 6149, 20077, 865, 602, 513, 3623, 17924, 8291, 14380, 856, 540, 519, 6149, 269, 2755, 3357, 657, 941, 2442, 1282, 519, 5736, 972, 616, 6266, 540, 824, 3466, 602, 3989, 16972, 2053, 269, 2271, 878, 622, 4154, 6272, 267, 546, 1905, 532, 8405, 331, 2167, 267, 543, 1279, 14969, 1274, 337, 902, 941, 849, 1360, 2442, 563, 15228, 2513, 1143, 281, 3600, 549, 10973, 4035, 601, 787, 454, 5278, 540, 519, 1034, 2189, 4773, 689, 519, 16972, 5736, 616, 12572, 543, 554, 573, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 18131, 781, 22032, 543, 32018, 257, 607, 851, 540, 834, 19615, 1315, 2342, 1315, 4279, 6628, 1315, 16972, 16527, 630, 8146, 278, 268, 5002, 272, 264, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269, 0, 769, 713, 1576, 1770, 267, 649, 5490, 883, 519, 7706, 540, 13834, 543, 12339, 21442, 29576, 607, 621, 25701, 547, 3979, 9085, 267, 1210, 519, 1568, 540, 9565, 19168, 1014, 2278, 543, 15594, 12835, 267, 2549, 320, 2311, 320, 22707, 5622, 269, 1284, 786, 2263, 875, 22707, 5622, 781, 12591, 1683, 7096, 4030, 883, 519, 10848, 543, 2591, 5185, 676, 3979, 2021, 538, 1312, 7810, 543, 2022, 24645, 7239, 780, 20058, 267, 1577, 721, 1174, 1018, 649, 1611, 676, 13834, 543, 12339, 21442, 29576, 269, 901, 7936, 540, 5339, 3069, 6212, 593, 519, 1909, 602, 4008, 4249, 538, 3332, 1107, 875, 2367, 543, 2021, 616, 17814, 267, 519, 1379, 6384, 1063, 873, 267, 543, 875, 891, 11269, 2992, 610, 3337, 6848, 8456, 2509, 4008, 269, 12339, 21442, 9880, 11394, 547, 16616, 6456, 12886, 1996, 2021, 538, 3332, 543, 2528, 1247, 14957, 585, 7862, 543, 4775, 16882, 780, 1103, 22707, 5622, 781, 2013, 267, 1200, 22158, 568, 7184, 12082, 538, 1200, 2833, 3395, 909, 538, 19168, 1282, 922, 5912, 689, 7810, 4341, 547, 7115, 269, 1306, 513, 1762, 8004, 267, 1352, 14754, 20250, 519, 1764, 540, 30013, 3889, 13684, 676, 3935, 9088, 543, 10419, 18050, 676, 2199, 4529, 269, 1452, 2833, 8032, 1200, 5133, 543, 5483, 1200, 3532, 1560, 540, 960, 799, 1419, 7740, 1472, 2178, 267, 1950, 4775, 3197, 10188, 26568, 1949, 780, 3080, 1883, 1523, 30343, 1454, 540, 22707, 5622, 781, 1603, 568, 1412, 5793, 7611, 1275, 8339, 3213, 1441, 676, 3656, 16159, 13690, 828, 331, 2946, 11511, 985, 24849, 538, 476, 2735, 280, 267, 28622, 4016, 547, 519, 10562, 2470, 540, 1514, 11008, 3074, 971, 607, 5198, 267, 1362, 267, 543, 4008, 267, 2870, 20718, 543, 7623, 532, 3029, 540, 7130, 269, 1280, 3236, 267, 1373, 513, 3109, 4807, 1281, 711, 3274, 1611, 6849, 10168, 543, 3023, 1143, 14384, 282, 3079, 267, 789, 2170, 538, 2189, 2081, 6721, 3982, 2010, 540, 19319, 269, 8528, 1607, 2856, 24889, 2429, 22707, 5622, 781, 3209, 834, 2419, 5190, 2580, 1141, 519, 16502, 10507, 328, 12066, 956, 609, 2789, 6106, 540, 3961, 910, 607, 513, 3318, 4807, 267, 513, 7385, 267, 513, 3993, 267, 543, 513, 4759, 540, 513, 1978, 14227, 1362, 269, 3414, 10507, 328, 781, 9620, 267, 22707, 5622, 14550, 875, 891, 9163, 12969, 267, 7586, 4328, 519, 23434, 1352, 8188, 1813, 547, 6848, 6788, 543, 8155, 780, 5194, 2565, 2460, 540, 22707, 5622, 781, 15594, 16472, 6013, 538, 1200, 6514, 540, 1893, 543, 11407, 269, 6145, 1082, 824, 8706, 1235, 267, 22707, 5622, 17767, 519, 7915, 1379, 6384, 11251, 1369, 10409, 3889, 269, 1635, 7421, 519, 946, 540, 1893, 538, 1200, 1404, 834, 288, 852, 320, 2437, 649, 666, 7747, 875, 2757, 9423, 2553, 666, 581, 1016, 30062, 547, 4161, 8789, 6386, 543, 2709, 4244, 5380, 780, 11101, 267, 22707, 5622, 781, 960, 4749, 15359, 1206, 519, 10206, 540, 1412, 1492, 2123, 568, 2797, 3299, 10771, 602, 4357, 2833, 543, 3347, 3112, 581, 9674, 689, 6626, 1914, 19205, 8658, 269, 769, 834, 5978, 590, 3563, 23703, 2809, 2437, 22707, 5622, 3096, 519, 1915, 590, 1170, 773, 547, 5031, 519, 4296, 1063, 1367, 5079, 267, 2146, 12503, 267, 543, 3084, 4507, 780, 7661, 267, 3168, 3564, 22707, 5622, 781, 522, 324, 12320, 516, 267, 4207, 3979, 8706, 3359, 3136, 547, 11457, 267, 6220, 3309, 9739, 543, 2152, 269, 18623, 899, 31506, 16129, 23111, 1446, 543, 744, 344, 11726, 337, 11252, 330, 17554, 373, 392, 479, 744, 344, 384, 505, 342, 383, 373, 332, 6403, 4161, 5375, 10054, 827, 4008, 25327, 543, 12167, 585, 811, 8537, 8847, 540, 8706, 6541, 543, 27828, 780, 2026, 1053, 2502, 609, 891, 3584, 267, 596, 616, 9415, 547, 9691, 5659, 5931, 998, 513, 575, 25311, 7828, 267, 2243, 17888, 10054, 267, 543, 5660, 519, 17381, 543, 6988, 4547, 8521, 950, 6236, 28963, 540, 3961, 269, 5457, 267, 1169, 4062, 540, 3332, 11438, 17697, 6835, 827, 4008, 5107, 543, 1894, 282, 938, 4305, 568, 547, 10625, 267, 29506, 1125, 267, 543, 1865, 873, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 303, 1503, 881, 2278, 543, 5449, 19168, 1014, 2069, 14012, 2549, 320, 2311, 320, 22707, 5622, 5293, 2476, 593, 476, 4029, 2904, 476, 1708, 274, 693, 519, 2085, 540, 476, 10037, 269, 5240, 540, 1200, 2669, 26871, 828, 730, 1472, 519, 1158, 267, 6169, 540, 1200, 26009, 3310, 538, 5339, 267, 15594, 543, 2797, 5624, 563, 288, 573, 5622, 729, 19168, 779, 19466, 4807, 5856, 543, 1200, 13747, 4876, 838, 10165, 1896, 5756, 269, 4173, 5339, 9295, 4025, 1200, 1851, 519, 1101, 5108, 540, 3979, 2021, 5830, 540, 519, 2022, 23949, 11163, 5736, 269, 2991, 7115, 538, 19168, 538, 476, 4198, 278, 267, 1352, 2968, 513, 3056, 15594, 5639, 1369, 2022, 24645, 1603, 563, 2690, 936, 476, 736, 1296, 267, 1250, 1382, 267, 14172, 543, 3450, 723, 8268, 519, 3332, 540, 3979, 2021, 5830, 267, 1519, 22707, 5622, 269, 3733, 960, 22842, 741, 7415, 7418, 547, 2021, 779, 543, 4008, 2090, 998, 5339, 4082, 563, 7437, 513, 15594, 7828, 267, 22707, 5622, 779, 1603, 27711, 1390, 5813, 883, 519, 10848, 543, 2591, 540, 3979, 2021, 779, 2729, 538, 7810, 543, 2022, 24645, 7239, 269, 2701, 11339, 827, 2021, 945, 1590, 6330, 3138, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 29638, 543, 12339, 21442, 29576, 257, 607, 851, 540, 834, 299, 25604, 14473, 595, 6020, 12087, 26113, 1315, 3979, 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, 769, 519, 14297, 2749, 540, 18776, 639, 267, 1079, 2025, 2828, 267, 5981, 543, 13177, 267, 1336, 2933, 593, 6587, 5011, 540, 606, 7920, 7521, 827, 519, 6388, 540, 12957, 2029, 538, 2199, 6080, 269, 5637, 1185, 2189, 5380, 282, 5981, 729, 606, 23904, 10509, 16724, 1247, 13177, 5249, 607, 513, 17519, 1514, 11832, 269, 4256, 17804, 5784, 17275, 5717, 2429, 519, 2146, 267, 10223, 519, 991, 585, 3666, 1063, 5647, 543, 5683, 9270, 780, 20694, 5156, 602, 8508, 12957, 1131, 1291, 547, 6909, 7760, 585, 18776, 639, 269, 834, 13914, 827, 621, 2437, 646, 1767, 1282, 513, 4884, 10689, 5870, 267, 834, 2246, 558, 566, 1797, 2799, 4398, 267, 2539, 2504, 3790, 267, 543, 10930, 2324, 2175, 1701, 1261, 11329, 547, 1010, 5767, 8798, 267, 16790, 300, 3663, 267, 799, 1223, 24847, 5478, 1164, 7779, 5370, 1510, 27531, 8856, 610, 10727, 269, 8528, 307, 11336, 267, 2705, 267, 14126, 827, 519, 1764, 971, 4028, 6639, 1689, 1522, 723, 593, 519, 1004, 1352, 6039, 3232, 269, 2701 ]

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

[ 780, 4322, 575, 28145, 949, 3100, 2147, 267, 855, 1175, 899, 16254, 267, 789, 1142, 723, 2189, 5380, 543, 3877, 547, 2671, 827, 4906, 262, 1272, 269, 8625, 267, 789, 1711, 513, 4190, 13795, 540, 2984, 602, 948, 721, 1174, 945, 4906, 729, 543, 1946, 646, 6927, 547, 6634, 540, 1004, 1472, 519, 8608, 1256, 2221, 780, 3719, 7227, 267, 5749, 1405, 972, 811, 982, 2185, 717, 28145, 286, 1411, 2811, 1318, 256, 1703, 616, 2965, 1896, 824, 5931, 3544, 540, 519, 6426, 1419, 5219, 547, 607, 834, 25721, 665, 787, 13921, 717, 28145, 1701, 1809, 3314, 950, 594, 5018, 602, 4906, 262, 14191, 2828, 4941, 547, 2327, 1010, 3020, 5048, 7012, 1405, 4503, 286, 4270, 267, 1346, 3606, 12591, 2270, 6266, 540, 1500, 5346, 8631, 543, 1810, 1405, 5447, 1134, 609, 1018, 1034, 10271, 3494, 269, 1924, 1152, 519, 22973, 6589, 8694, 909, 1373, 3769, 538, 519, 4013, 4015, 1634, 607, 519, 1715, 11620, 780, 30509, 689, 519, 717, 28145, 267, 2038, 10271, 849, 5206, 5022, 547, 5000, 543, 3391, 8284, 21071, 269, 2368, 540, 891, 5022, 666, 581, 1336, 538, 519, 1715, 11620, 896, 4408, 971, 607, 6754, 267, 8834, 267, 6276, 267, 543, 3627, 269, 2290, 4241, 1383, 568, 31694, 630, 10193, 1634, 607, 519, 7442, 5914, 2988, 572, 1070, 799, 3568, 12357, 22649, 5921, 547, 8300, 4126, 9624, 2352, 2053, 780, 3383, 972, 596, 723, 621, 1107, 519, 4332, 540, 4168, 3332, 256, 3245, 2123, 16499, 23888, 547, 2295, 325, 3881, 5022, 267, 891, 3504, 5931, 4196, 607, 9486, 883, 519, 2729, 540, 1346, 26970, 676, 4906, 262, 2648, 543, 7326, 269, 1306, 2413, 3988, 267, 3695, 891, 15851, 6386, 2636, 721, 547, 1732, 10146, 1312, 3140, 2796, 543, 5289, 4644, 1369, 8567, 269, 8414, 2542, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 19615, 540, 519, 8863, 305, 3041, 2316, 3198, 8863, 7838, 6224, 20330, 31086, 476, 1691, 269, 17796, 543, 9085, 563, 13731, 5128, 5206, 4986, 267, 855, 7677, 1639, 11995, 1570, 585, 2835, 543, 8964, 540, 14696, 543, 17192, 269, 634, 2713, 5783, 540, 519, 28099, 14855, 568, 1010, 1433, 269, 1261, 8547, 513, 4984, 540, 519, 2713, 6891, 267, 711, 540, 513, 2854, 3009, 267, 899, 519, 631, 6242, 545, 1876, 269, 630, 3571, 4484, 547, 3751, 2806, 3258, 639, 540, 3798, 612, 320, 267, 538, 661, 2224, 321, 1421, 2876, 269, 8278, 743, 1421, 594, 269, 476, 1724, 267, 568, 513, 4502, 1652, 21753, 4700, 8616, 1010, 1913, 543, 23339, 616, 6592, 676, 607, 9237, 543, 6325, 22168, 607, 2479, 2322, 4050, 547, 1957, 563, 296, 269, 24956, 545, 4168, 17796, 563, 263, 272, 264, 634, 2185, 32588, 673, 717, 28145, 269, 21894, 741, 5169, 543, 4266, 267, 789, 8858, 9247, 519, 1482, 10143, 25993, 1272, 543, 1915, 540, 2441, 267, 799, 6763, 856, 538, 8325, 4334, 609, 519, 535, 1112, 25875, 2441, 540, 519, 7442, 665, 787, 13921, 717, 28145, 267, 543, 3112, 7654, 723, 1044, 11827, 267, 2547, 540, 782, 676, 2192, 30185, 22191, 753, 269, 1358, 1131, 2760, 723, 2219, 540, 1603, 2835, 1510, 519, 6667, 540, 741, 9457, 563, 263, 273, 264, 634, 20450, 540, 19279, 267, 519, 24347, 4301, 9210, 30178, 267, 543, 519, 7442, 5914, 2988, 572, 540, 808, 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, 769, 519, 2295, 540, 8567, 6013, 519, 3661, 538, 519, 10513, 27076, 910, 519, 12429, 267, 519, 12312, 267, 543, 519, 10513, 13336, 269, 2755, 519, 12429, 543, 519, 12312, 723, 1044, 14916, 5941, 543, 23503, 2429, 1686, 267, 519, 1909, 540, 519, 10513, 13336, 538, 5935, 4168, 4978, 543, 2853, 568, 8449, 1713, 269, 901, 3296, 786, 5490, 883, 713, 1419, 15763, 2460, 676, 3695, 875, 519, 1523, 540, 5289, 9322, 267, 607, 22993, 676, 853, 269, 8125, 7079, 639, 519, 19158, 31354, 267, 814, 5129, 513, 2629, 1909, 538, 10747, 521, 664, 11856, 1369, 8109, 18179, 8567, 269, 1284, 786, 849, 4983, 519, 1184, 540, 17374, 1436, 543, 922, 4644, 538, 9301, 23920, 17349, 780, 306, 2869, 3770, 30767, 538, 8109, 18179, 8567, 454, 14343, 19567, 4263, 519, 4295, 540, 8109, 18179, 8567, 568, 519, 3661, 602, 519, 9322, 540, 519, 5783, 267, 1634, 607, 519, 10610, 540, 2441, 267, 568, 12082, 538, 519, 10513, 13336, 269, 4340, 547, 519, 10752, 1336, 538, 9210, 1127, 2103, 476, 275, 281, 275, 267, 972, 568, 1152, 1412, 821, 1560, 267, 543, 835, 6891, 9538, 1280, 18179, 10271, 267, 3020, 9322, 3112, 581, 6913, 998, 5007, 1797, 899, 2797, 1379, 610, 2883, 3310, 282, 3079, 267, 621, 11710, 689, 513, 3838, 5289, 6125, 602, 25186, 1367, 9163, 543, 1770, 525, 21071, 896, 519, 5583, 540, 519, 10513, 13336, 780, 763, 2856, 540, 5289, 9322, 11363, 519, 2956, 540, 4509, 606, 6418, 4276, 609, 2696, 1247, 5807, 10103, 1851, 8284, 21071, 269, 1635, 8508, 713, 6240, 267, 2043, 1831, 851, 540, 1945, 3152, 982, 2933, 1107, 513, 2146, 8087, 676, 741, 2648, 585, 2441, 543, 11461, 676, 519, 7326, 540, 519, 10513, 13336, 780, 1805, 269, 8125, 7079, 639, 519, 19158, 31354, 281, 589, 7844, 540, 20154, 30767, 454, 24801, 21387, 1805, 269, 8125, 7079, 639, 519, 19158, 31354, 630, 323, 269, 476, 4350, 279, 1070, 4171, 11755, 585, 782, 9082, 547, 2097, 547, 917, 2696, 998, 519, 10513, 13336, 729, 12286, 538, 519, 6679, 1349, 267, 30833, 519, 9759, 540, 5289, 9322, 1282, 1010, 10715, 269, 18004, 538, 6576, 267, 853, 269, 8125, 7079, 639, 2968, 513, 31494, 693, 6778, 19158, 657, 538, 10255, 267, 1141, 646, 6131, 5128, 547, 513, 1272, 540, 1151, 3363, 267, 11755, 267, 543, 31658, 269, 6736, 2713, 607, 513, 1200, 2466, 267, 853, 269, 8125, 7079, 639, 6444, 519, 991, 585, 5289, 17604, 10838, 10271, 5001, 269, 3571, 19001, 2992, 1010, 2620, 7287, 585, 8103, 547, 1995, 519, 13710, 1379, 540, 519, 10513, 13336, 267, 3976, 22338, 519, 1259, 2509, 9758, 9322, 780, 4692, 517, 1436, 543, 4706, 19043, 10738, 8109, 18179, 344, 454, 32458, 7042, 1103, 8109, 18179, 8567, 267, 519, 1184, 540, 17374, 1436, 5713, 607, 1312, 513, 6284, 540, 18813, 640, 543, 513, 11812, 540, 519, 1209, 542, 1063, 13140, 543, 3618, 269, 9521, 824, 4168, 29559, 267, 8109, 18179, 344, 1281, 711, 723, 513, 6101, 1242, 5650, 585, 30418, 2576, 513, 23920, 269, 5502, 267, 519, 9006, 3130, 540, 25598, 14340, 1418, 1227, 689, 519, 21705, 945, 267, 6273, 676, 519, 2729, 540, 891, 9058, 2043, 267, 3343, 741, 954, 20896, 543, 1383, 780, 2691, 6236, 2436, 547, 5431, 2576, 607, 513, 23920, 267, 519, 18179, 5783, 12116, 1896, 2188, 267, 1519, 1384, 272, 269, 2878, 29804, 1465, 5093, 9894, 519, 11134, 1291, 606, 24215, 4075, 6681, 1272, 6353, 676, 1582, 16531, 267, 8296, 267, 543, 20174, 547, 2696, 888, 273, 269, 2878, 300, 4275, 3380, 5093, 5620, 972, 1044, 6589, 540, 14393, 31397, 2621, 11911, 547, 519, 11134, 781, 954, 20896, 610, 4527, 888, 274, 269, 2878, 7775, 628, 13454, 344, 5093, 12984, 519, 11134, 32344, 538, 30176, 519, 29625, 543, 5389, 540, 8109, 18179, 8567, 888, 275, 269, 2878, 299, 527, 17790, 10469, 3130, 5093, 13201, 519, 11134, 2907, 1044, 4922, 9006, 23306, 676, 519, 21705, 267, 2901, 12725, 610, 11451, 2496, 2252, 519, 2626, 547, 891, 2055, 568, 31077, 267, 1287, 519, 1367, 949, 581, 18005, 6444, 607, 513, 23920, 998, 513, 1396, 17790, 3028, 1634, 607, 519, 1350, 528, 2305, 269, 4438, 713, 16008, 267, 519, 5783, 3413, 8787, 519, 2868, 1465, 540, 519, 9241, 2275, 534, 517, 1242, 23920, 543, 20217, 519, 21705, 547, 3343, 741, 954, 947, 687, 269, 3414, 713, 1184, 267, 519, 18179, 5783, 19156, 519, 15364, 1063, 519, 31676, 543, 3618, 569, 26441, 267, 22348, 21071, 602, 789, 616, 851, 540, 513, 2582, 267, 18900, 1920, 3808, 1927, 676, 519, 10513, 13336, 780, 21010, 532, 20154, 30767, 2060, 7351, 12367, 543, 7464, 21509, 6201, 454, 5785, 5785, 19030, 1103, 2221, 781, 5051, 8701, 1242, 1158, 267, 20460, 1746, 519, 3741, 540, 5289, 9322, 23647, 676, 2038, 25598, 971, 607, 853, 269, 8125, 7079, 639, 3091, 3407, 4030, 585, 4207, 10271, 5275, 547, 6536, 9322, 9624, 4763, 269, 1306, 7239, 20920, 609, 2152, 8151, 689, 3909, 17119, 1143, 547, 2797, 5513, 16117, 267, 8508, 519, 10206, 540, 5289, 9322, 7512, 2043, 547, 1413, 3564, 21603, 3604, 543, 1445, 593, 519, 4514, 4296, 602, 12622, 873, 1927, 607, 1453, 540, 2696, 780, 11101, 267, 4974, 519, 2729, 540, 17374, 1242, 25598, 2488, 2413, 10271, 609, 15889, 1806, 540, 875, 8723, 2367, 543, 2021, 666, 18220, 519, 16431, 540, 2648, 267, 19807, 267, 543, 21548, 538, 741, 3232, 2729, 269, 1452, 11121, 2984, 4196, 607, 3532, 23106, 602, 1169, 1268, 19299, 519, 1761, 547, 3565, 25006, 547, 519, 5571, 5692, 540, 2679, 2696, 781, 8003, 593, 3618, 780, 6962, 454, 29603, 18698, 519, 2078, 1063, 5289, 9322, 267, 521, 664, 11856, 267, 543, 519, 17374, 1436, 1184, 24259, 1769, 593, 1898, 3344, 540, 8109, 18179, 8567, 269, 1635, 6313, 519, 10752, 540, 853, 269, 8125, 7079, 639, 519, 19158, 31354, 543, 519, 4644, 5116, 2390, 5289, 9322, 1369, 18179, 2245, 267, 1053, 2744, 513, 4514, 7071, 585, 519, 2081, 538, 799, 519, 10513, 13336, 5170, 547, 3337, 4168, 3961, 543, 2259, 269, 5015, 267, 1620, 519, 5214, 2470, 540, 521, 664, 11856, 1369, 8109, 18179, 344, 8711, 519, 11972, 10083, 540, 3140, 5515, 945, 24018, 11108, 16495, 267, 21548, 267, 543, 20174, 547, 2696, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 307, 578, 1841, 513, 2622, 25038, 454, 2467, 568, 835, 1560, 267, 543, 835, 13336, 267, 1256, 607, 9493, 616, 1572, 538, 835, 4126, 540, 707, 10912, 563, 22977, 1127, 2103, 476, 275, 267, 476, 275, 454, 2690, 519, 4708, 540, 519, 2898, 1158, 267, 519, 1434, 10040, 540, 519, 13411, 932, 11699, 540, 2696, 543, 519, 9769, 540, 782, 1004, 267, 1577, 721, 7281, 547, 519, 7083, 563, 5804, 519, 4279, 22175, 1415, 540, 519, 18179, 22175, 4026, 625, 454, 296, 7281, 634, 324, 267, 744, 30330, 3814, 7083, 267, 585, 782, 519, 9082, 540, 519, 3047, 602, 789, 949, 2097, 547, 917, 634, 324, 676, 774, 344, 10513, 13336, 563, 1805, 8125, 7079, 639, 519, 19158, 31354, 22791, 476, 4350, 279, 994, 7072, 281, 20154, 30767, 454, 2690, 18179, 10271, 519, 30767, 540, 519, 5783, 267, 540, 519, 10610, 540, 2441, 267, 568, 538, 519, 10513, 13336, 269, 7102, 824, 2186, 540, 9322, 568, 23366, 513, 7301, 543, 2192, 639, 800, 9322, 267, 513, 9322, 13684, 676, 519, 1158, 543, 922, 5238, 540, 1379, 6214, 543, 2724, 799, 666, 2490, 2899, 21705, 2818, 540, 519, 5783, 883, 5132, 1652, 12470, 1115, 540, 519, 1158, 269, 3807, 607, 771, 29774, 267, 865, 7301, 9322, 568, 2141, 519, 4829, 540, 513, 3668, 540, 17035, 267, 519, 8840, 540, 1158, 569, 2418, 883, 5783, 1272, 269, 8307, 519, 10513, 13336, 666, 5963, 12622, 721, 1927, 609, 938, 9197, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23781, 24702, 1315, 8567, 1315, 29513, 1299, 590, 664, 11856, 1315, 32588, 1436, 6713, 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, 6092, 5149, 281, 3689, 12724, 1127, 538, 19565, 11470, 910, 1323, 16709, 998, 2142, 29348, 781, 16707, 476, 9692, 271, 268, 9264, 277, 692, 29020, 281, 1677, 1683 ]

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

[ 2788, 328, 269, 10815, 1634, 616, 681, 698, 25901, 630, 852, 14878, 22201, 23364, 1070, 12821, 9508, 267, 1323, 935, 320, 267, 543, 715, 10008, 269, 5804, 519, 476, 1015, 628, 547, 519, 476, 1724, 628, 5553, 789, 3710, 7904, 1115, 540, 9635, 1312, 585, 741, 1378, 4027, 543, 547, 1489, 3573, 4123, 5121, 2066, 519, 11335, 267, 4758, 873, 606, 1898, 1909, 538, 519, 12724, 3547, 269, 17809, 1550, 540, 1323, 935, 320, 454, 763, 11662, 540, 1323, 935, 320, 630, 2005, 6501, 281, 1008, 4532, 807, 1019, 1323, 935, 320, 264, 568, 513, 11662, 538, 519, 16205, 515, 3148, 540, 3844, 7977, 269, 4706, 3854, 568, 519, 2749, 540, 1323, 935, 320, 267, 543, 519, 11662, 10665, 519, 1520, 686, 1738, 7256, 269, 634, 2749, 540, 1323, 935, 320, 568, 849, 519, 3854, 540, 16205, 515, 269, 2414, 519, 5087, 267, 519, 11662, 568, 536, 23912, 676, 519, 1520, 686, 1738, 7256, 267, 543, 519, 7442, 3317, 710, 15142, 547, 519, 7178, 269, 634, 2551, 540, 519, 11662, 568, 6140, 4092, 538, 9381, 2127, 543, 538, 519, 21621, 3854, 1323, 935, 320, 267, 799, 814, 513, 2551, 540, 476, 6200, 267, 276, 1240, 282, 519, 11662, 814, 513, 2698, 2551, 540, 476, 5325, 278, 267, 8660, 273, 607, 540, 476, 1001, 276, 269, 9603, 547, 922, 9381, 4087, 267, 621, 568, 21825, 1271, 269, 634, 7022, 540, 519, 11662, 568, 700, 10005, 5395, 3757, 328, 15660, 1206, 23795, 540, 22501, 17822, 568, 2442, 547, 32228, 2103, 855, 814, 711, 1044, 7494, 4299, 676, 9235, 269, 589, 1804, 1858, 540, 519, 11662, 781, 2244, 568, 3484, 1633, 1419, 1031, 585, 9174, 2504, 282, 519, 11662, 7472, 25299, 1210, 519, 8053, 788, 592, 857, 8457, 267, 590, 30231, 990, 3150, 267, 543, 7638, 323, 545, 577, 1470, 8677, 540, 18812, 269, 7788, 1302, 267, 905, 6814, 2049, 538, 519, 11662, 1282, 519, 16276, 1974, 269, 898, 3568, 29990, 4525, 543, 519, 1230, 3266, 13636, 5244, 267, 799, 2270, 10053, 7733, 1141, 3109, 1854, 742, 956, 616, 1336, 269, 1452, 616, 4421, 538, 21733, 531, 1725, 320, 538, 519, 30240, 11662, 540, 623, 14008, 334, 552, 7984, 321, 3626, 563, 293, 13904, 1004, 4535, 540, 519, 11662, 540, 1323, 935, 320, 1331, 19291, 4083, 267, 10513, 4936, 14890, 630, 297, 525, 328, 5148, 4139, 20096, 18048, 22918, 850, 13005, 28529, 6929, 334, 630, 293, 629, 6929, 334, 5148, 5856, 681, 2378, 6130, 17939, 520, 7236, 630, 297, 525, 328, 5148, 21917, 717, 5684, 732, 1975, 2632, 7236, 630, 30538, 2723, 10620, 267, 799, 814, 2094, 1044, 3957, 1310, 1864, 607, 8575, 2723, 10620, 1975, 2632, 7236, 5148, 21917, 16902, 990, 28839, 645, 3430, 16695, 623, 1120, 3421, 328, 630, 297, 525, 328, 5148, 22301, 543, 21997, 966, 17010, 5292, 614, 571, 630, 2304, 935, 320, 5148, 11176, 518, 6890, 1729, 2494, 322, 7236, 630, 297, 525, 328, 5148, 15352, 24955, 2473, 2862, 630, 294, 1263, 320, 5148, 15352, 623, 3780, 26577, 630, 25938, 580, 718, 807, 5148, 543, 957, 816, 5164, 3534, 700, 27599, 630, 297, 525, 328, 1040, 31718, 7826, 5246, 10972, 665, 3150, 540, 1323, 935, 320, 268, 11675, 24982, 454, 763, 5246, 10972, 665, 3150, 540, 1323, 935, 320, 268, 11675, 24982, 630, 31142, 281, 5246, 573, 1470, 324, 806, 529, 1323, 935, 527, 3570, 5025, 5060, 574, 3570, 264, 568, 513, 4745, 3235, 27036, 20292, 8513, 543, 23195, 1294, 540, 519, 7826, 5783, 538, 519, 16205, 515, 3148, 540, 7977, 20193, 814, 11478, 538, 922, 1459, 1106, 2094, 476, 2735, 277, 267, 950, 519, 5246, 10972, 665, 3150, 540, 1323, 935, 320, 729, 8087, 609, 519, 3140, 4144, 665, 3150, 540, 744, 13678, 334, 269, 4595, 9998, 2053, 267, 519, 1019, 665, 3150, 814, 1044, 2047, 1641, 547, 519, 10513, 6423, 630, 303, 777, 2329, 1070, 1510, 13591, 8128, 7868, 2895, 29989, 814, 1010, 3134, 4593, 29914, 17599, 538, 519, 24130, 540, 1323, 935, 320, 267, 1247, 519, 24130, 540, 744, 13678, 334, 814, 519, 4567, 540, 513, 1071, 2275, 520, 14366, 563, 1103, 519, 476, 1704, 628, 267, 476, 1240, 628, 267, 543, 476, 866, 628, 2578, 3753, 267, 519, 5246, 29989, 540, 1323, 935, 320, 729, 4749, 513, 9315, 1400, 269, 2290, 5449, 5246, 29989, 267, 18370, 704, 334, 19681, 6975, 7236, 267, 9782, 547, 519, 14466, 2329, 607, 15352, 31409, 2473, 4353, 10611, 517, 14269, 1323, 935, 320, 454, 19723, 517, 3821, 1323, 935, 320, 568, 513, 13677, 957, 816, 267, 12705, 626, 543, 2278, 269, 2701, 1101, 2968, 1134, 1634, 1310, 17729, 538, 634, 8262, 6764, 1833, 2529, 523, 580, 718, 807, 454, 25938, 580, 718, 807, 630, 528, 16429, 580, 698, 20377, 538, 6196, 7969, 267, 7931, 1725, 565, 281, 590, 685, 333, 580, 24652, 264, 568, 513, 635, 2317, 543, 2823, 4884, 593, 7977, 781, 1520, 686, 1738, 5032, 269, 898, 568, 13883, 538, 519, 11662, 540, 1323, 935, 320, 538, 519, 16205, 515, 3148, 543, 6013, 5111, 476, 1789, 12919, 5087, 29891, 540, 519, 21621, 3854, 2749, 1323, 935, 320, 269, 7354, 580, 718, 807, 781, 1507, 2823, 568, 4092, 693, 519, 5023, 540, 519, 5757, 631, 13453, 2529, 773, 613, 540, 1323, 935, 320, 454, 306, 773, 613, 540, 1323, 935, 320, 729, 513, 6370, 538, 519, 3026, 777, 13457, 2782, 269, 898, 3576, 1747, 4098, 593, 519, 476, 276, 628, 2904, 476, 8687, 276, 543, 30174, 2394, 519, 476, 1789, 628, 2904, 476, 8687, 276, 269, 634, 6370, 3576, 1747, 6071, 2395, 1310, 519, 11135, 540, 24729, 550, 3626, 593, 519, 476, 274, 6113, 2904, 476, 8687, 276, 7868, 26362, 540, 1323, 935, 320, 729, 835, 540, 519, 2063, 12959, 538, 7977, 1282, 519, 3026, 777, 13457, 2782, 269, 634, 2749, 540, 1323, 935, 320, 729, 519, 2063, 2101, 7969, 2749, 547, 21704, 269, 898, 729, 10692, 1063, 19167, 781, 4229, 538, 1323, 935, 320, 267, 7977, 543, 519, 17454, 5025, 755, 6929, 19710, 1282, 519, 2290, 25569, 17963, 685, 5859, 269, 634, 17454, 5025, 755, 6929, 19710, 5555, 17204, 19167, 781, 4229, 267, 3976, 4543, 1163, 601, 519, 3943, 689, 8109, 7977, 269, 898, 849, 8329, 547, 519, 17594, 540, 519, 12844, 777, 27525, 21257, 6069, 676, 12653, 520, 543, 3366, 547, 519, 10661, 540, 519, 14466, 531, 1533, 269, 308, 2529, 269, 1323, 935, 320, 476, 5002, 276, 454, 4462, 7748, 22505, 10216, 1323, 935, 320, 476, 5002, 276, 267, 4122, 5219, 547, 607, 1323, 935, 320, 267, 729, 606, 7969, 11176, 8630, 1759, 538, 1323, 935, 320, 267, 16205, 515, 563, 763, 8630, 4957, 922, 2012, 547, 772, 2529, 269, 1323, 935, 320, 476, 5002, 276, 689, 590, 2529, 269, 623, 10730, 5842, 700, 9579, 16619, 538, 476, 1001, 271, 267, 1813, 547, 519, 28153, 540, 519, 1292, 11176, 2319, 540, 519, 2749, 267, 589, 5861, 269, 1323, 935, 320, 269, 1717, 267, 1310, 513, 2124, 326, 566, 538, 476, 1001, 278, 267, 772, 2529, 269, 1323, 935, 320, 476, 5002, 276, 24013, 4319, 689, 519, 11176, 18158, 269, 11749, 4997, 2494, 11142, 22088, 454, 11749, 4997, 2494, 11142, 22088, 630, 9799, 476, 1724, 4728, 476, 4198, 276, 538, 1323, 935, 320, 264, 568, 606, 7969, 22267, 563, 9515, 568, 513, 4759, 540, 519, 14891, 9549, 269, 2494, 11142, 22088, 729, 11221, 26302, 540, 1323, 935, 320, 593, 476, 1556, 4873, 476, 1001, 274, 543, 556, 18101, 3305, 539, 585, 519, 2034, 2165, 593, 476, 1839, 4873, 476, 1001, 279, 269, 2701, 568, 519, 1101, 4807, 547, 581, 11221, 25650, 540, 519, 2749, 540, 1323, 935, 320, 2529, 515, 4465, 519, 476, 1001, 279, 2622, 26302, 15356, 563, 347, 20458, 1239, 585, 1323, 935, 320, 630, 3192, 272, 1700, 1220, 271, 10245, 24820, 2071, 1164, 11019, 290, 630, 4113, 293, 10534, 280, 269, 273, 454, 25238, 2905, 1611, 11019, 290, 630, 4113, 293, 10534, 276, 269, 274, 454, 24820, 2071, 1970, 11019, 290, 630, 4113, 293, 10534, 272, 269, 275, 454, 24820, 2071, 13247, 6515, 630, 514, 2583, 10534, 6246, 269, 279, 454, 347, 13126, 281, 5450, 324, 334, 4456, 11406, 292, 2202, 693, 519, 4463, 540, 19167, 781, 7276, 454, 290, 885, 538, 7977, 676, 2551, 0, 6124, 14948, 281, 623, 1370, 823, 6953, 718, 5549, 267, 476, 2735, 278, 269, 3689, 9990, 267, 3689, 24614, 269, 9941, 16225, 269, 13242, 910, 15020, 6153, 269, 590, 2775, 569, 535, 12184, 12636, 543, 16833, 269, 11162, 267, 796, 5658, 539, 267, 9395, 5299, 269, 645, 270, 310, 12222, 269, 12039, 269, 476, 1428, 269, 274, 1535, 476, 2420, 269, 278, 4699, 269, 476, 24783, 6032, 269, 30014, 1948, 9083, 1691, 454, 15430, 5034, 538, 606, 13016, 267, 2239, 2511, 267, 713, 1257, 5654, 693, 2257, 267, 689, 519, 3504, 1158, 267, 547, 10120, 2257, 267, 519, 3621, 4838, 267, 998, 547, 476, 736, 628, 2540, 6323, 269, 901, 7160, 3091, 811, 3795, 540, 476, 736, 628, 2540, 1686, 267, 10617, 267, 543, 2029, 282, 811, 593, 15751, 18160, 282, 543, 811, 593, 7061, 11707, 543, 6138, 269, 1280, 782, 1346, 5461, 538, 2257, 267, 1686, 267, 6138, 267, 6323, 267, 543, 4702, 269, 0, 8450, 519, 5767, 7477, 17473, 543, 1265, 856, 827, 2324, 585, 9049, 293, 5177, 297, 10849, 538, 519, 5177, 454, 29309, 532, 21476, 2200, 585, 3506, 454, 29309, 532, 21476, 568, 606, 3078, 1788, 1141, 1053, 666, 2047, 3565, 547, 519, 19493, 960, 540, 631, 2946, 20657, 1231, 590, 753, 13571, 328, 11726, 637, 270, 2710, 4701, 9453, 645, 7451, 630, 5960, 293, 1916, 763, 1739, 6881, 786, 948, 596, 4001, 1053, 875, 547, 4786, 912, 763, 18913, 6044, 3561, 568, 2966, 547, 948, 1053, 1451, 547, 4786, 912, 2171, 723, 3177, 713, 3391, 585, 3610, 609, 5363, 4388, 593, 6707, 3478, 1053, 11837, 912, 2171, 991, 7851, 1169, 1554, 547, 1205, 547, 2550, 267, 547, 2708, 519, 2115, 540, 6433, 3620, 527, 2950, 267, 547, 3950, 2068, 3262, 543, 547, 4431, 547, 2199, 2621, 267, 855, 1082, 540, 519, 2127, 538, 799, 649, 960, 723, 2760, 1044, 25528, 563, 294, 1516, 707, 942, 547, 31932, 21476, 6227, 519, 24749, 7029, 585, 14565, 971, 607, 16099, 540, 25470, 543, 1223, 1683, 5718, 3255, 585, 1346, 1418, 2358, 513, 8630, 563, 2791, 666, 4786, 10446, 855, 581, 2386, 547, 1832, 513, 2594, 540, 707, 3108, 563, 7312, 11837, 568, 13761, 676, 4966, 543, 786, 581, 1031, 676, 938, 2564, 6887, 593, 519, 2666, 269, 898, 2306, 513, 1483, 3017, 547, 3478, 5351, 547, 1346, 538, 7925, 2127, 269, 11289, 596, 585, 707, 7029, 547, 713, 269, 0, 1607, 1576, 6941, 519, 1184, 540, 1210, 519, 15213, 540, 6176, 2920, 630, 23859, 8656, 264, 547, 7662, 1344, 689, 590, 6347, 269, 898, 849, 14439, 6381, 950, 621, 568, 11991, 547, 1118, 13668, 998, 29332, 8656, 267, 543, 267, 3079, 267, 946, 2228, 2200, 610, 2123, 17066, 607, 2959, 540, 13844, 1344, 563, 8923, 4945, 1934, 585, 513, 15026, 19405, 540, 713, 1576, 3436, 11417, 268, 634, 15213, 540, 6176, 2920, 630, 23859, 8656, 994, 268, 4208, 798, 649, 723, 29332, 8656, 888, 268, 1215, 3657, 29332, 8656, 13668, 1500, 547, 590, 6347, 888, 268, 1772, 621, 2556, 547, 1118, 782, 13668, 585, 1344, 998, 519, 29332, 8656, 888, 268, 1548, 952, 594, 1810, 1406, 723, 2228, 1569, 888, 268, 1548, 5638, 1281, 590, 6347, 3622, 711, 30035, 888, 268, 1548, 2010, 540, 13668, 585, 8791, 476, 25908, 1344, 616, 1500, 547, 590, 6347, 888, 268, 1548, 616, 519, 590, 6347, 6237, 5604, 9021, 3823, 13668, 585, 1344, 888, 268, 1215, 1058, 519, 21614, 779, 6023, 2489, 3557, 543, 2199, 3795, 28780, 888, 268, 1548, 568, 590, 6347, 23560, 547, 13724, 10837, 2598, 26918, 888, 2026, 5892, 5018, 538, 519, 1576, 968, 7072, 547, 519, 1883, 13222, 2223, 2276, 616, 4397, 547, 960, 609, 519, 21614, 593, 3557, 543, 2199, 3795, 2152, 269, 901, 2078, 1063, 519, 2276, 543, 590, 6347, 10305, 547, 519, 3608, 2095, 540, 2489, 19359, 543, 6351, 3823, 782, 3344, 540, 3795, 607, 789, 616, 3989, 538, 6810, 476, 13975, 543, 476, 25908, 269, 1717, 267, 1018, 568, 519, 1184, 585, 31392, 1344, 689, 590, 6347, 585, 519, 1857, 286, 1677, 1265, 856, 267, 5225, 1224, 593, 563, 5319, 716, 539, 538, 476, 3422, 277, 267, 543, 2921, 1198, 593, 5147, 476, 276, 267, 476, 3422, 278, 267, 519, 29332, 8656, 2488, 1022, 1268, 519, 1318, 547, 3489, 1569, 547, 5313, 8116, 5638, 267, 4849, 547, 519, 6708 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 972, 616, 930, 4191, 602, 707, 1973, 4006, 2157, 616, 711, 8647, 7363, 563, 29797, 16570, 20945, 568, 513, 2783, 538, 799, 707, 1973, 4006, 568, 1932, 1970, 269, 20050, 1331, 606, 12150, 26470, 267, 9854, 267, 695, 752, 1465, 543, 32688, 610, 31018, 538, 707, 3068, 269, 1403, 596, 9846, 1745, 713, 1259, 950, 596, 1205, 17237, 610, 1063, 6980, 267, 2911, 547, 707, 3782, 8502, 563, 4002, 519, 1166, 2354, 728, 267, 5409, 16744, 20945, 4523, 950, 707, 1973, 4006, 568, 1932, 1164, 267, 543, 666, 4755, 547, 562, 1180, 328, 28017, 269, 12580, 1331, 7928, 30614, 267, 2799, 19818, 543, 15677, 269, 1403, 596, 1589, 596, 5889, 516, 5409, 16744, 23303, 543, 666, 5889, 339, 1832, 12862, 610, 1426, 1524, 267, 1289, 585, 6595, 2564, 6351, 563, 10673, 5889, 339, 7323, 281, 4400, 10552, 17491, 1548, 1677, 1684, 454, 2791, 2904, 6145, 281, 6496, 8899, 10552, 17491, 20531, 17496, 10819, 454, 288, 272, 322, 17644, 9701, 2142, 10572, 1242, 454, 288, 272, 322, 3853, 1058, 581, 25191, 1759, 593, 519, 1367, 7207, 267, 4220, 267, 543, 1991, 2833, 267, 6941, 27722, 2480, 515, 10719, 267, 9049, 267, 7131, 292, 267, 13653, 540, 21091, 12128, 267, 543, 2278, 540, 6056, 6145, 513, 7754, 17759, 563, 2690, 1383, 267, 649, 3622, 2832, 585, 1360, 9395, 589, 272, 322, 2157, 1282, 6379, 543, 811, 15061, 9072, 538, 1762, 1453, 543, 519, 11361, 563, 4913, 267, 2480, 515, 10719, 8711, 1271, 2188, 602, 1223, 17854, 17935, 585, 513, 2362, 589, 272, 322, 267, 899, 31202, 20945, 23387, 1145, 267, 799, 568, 4330, 607, 950, 513, 1268, 609, 3987, 1100, 3476, 7959, 519, 593, 5765, 9963, 4191, 540, 1970, 1973, 4006, 269, 901, 666, 2322, 596, 693, 1713, 1981, 585, 4049, 1970, 1973, 14836, 4611, 17465, 610, 2669, 269, 1677, 2569, 602, 1981, 267, 596, 1131, 2832, 585, 2362, 3077, 1973, 4006, 9832, 563, 5278, 821, 609, 1713, 31202, 20945, 23387, 1145, 543, 513, 1686, 540, 4049, 1970, 338, 1058, 3077, 2362, 1973, 7280, 2157, 982, 2576, 945, 666, 3713, 543, 4383, 741, 1970, 338, 811, 3927, 267, 8591, 2480, 515, 10719, 269, 1656, 6157, 267, 2576, 945, 814, 1044, 4881, 589, 272, 14369, 538, 5595, 9704, 585, 3833, 930, 942, 1058, 711, 581, 13389, 606, 589, 272, 322, 540, 476, 277, 260, 1732, 547, 1305, 16434, 267, 10853, 267, 24276, 3853, 563, 9596, 875, 547, 2539, 707, 589, 272, 322, 538, 12128, 1805, 3994, 338, 288, 272, 290, 6651, 563, 1432, 1684, 1411, 1684, 1879, 10552, 17491, 1772, 8899, 454, 2252, 596, 5469, 602, 707, 1973, 4006, 568, 1970, 267, 621, 568, 1271, 547, 1521, 621, 1318, 2476, 547, 2061, 621, 689, 21177, 1256, 2417, 269, 3371, 616, 930, 2994, 596, 666, 946, 547, 1521, 1970, 1973, 4006, 267, 855, 922, 1655, 547, 1865, 891, 609, 707, 3782, 2319, 1354, 3843, 873, 912, 5970, 606, 6595, 31202, 20945, 6539, 602, 568, 3362, 3015, 543, 609, 596, 693, 782, 2053, 269, 5269, 2386, 1004, 596, 616, 609, 917, 1018, 547, 798, 538, 513, 31202, 23303, 6595, 269, 2659, 6539, 1058, 1331, 912, 10908, 26651, 14342, 610, 24494, 16152, 454, 10908, 1075, 6782, 1224, 827, 6595, 17725, 6722, 6782, 543, 4712, 3562, 14025, 1313, 7765, 915, 528, 23445, 454, 28770, 11765, 3346, 1344, 454, 2252, 596, 616, 711, 8876, 513, 2407, 6595, 6539, 267, 1118, 2386, 547, 693, 2547, 4163, 7280, 14342, 610, 24494, 31496, 563, 8196, 519, 476, 1428, 268, 1428, 4341, 269, 16202, 610, 4235, 476, 1428, 10101, 540, 11950, 547, 6318, 707, 1973, 4006, 269, 6744, 621, 1310, 476, 1428, 3764, 269, 1403, 922, 1869, 2630, 476, 3583, 8406, 7933, 299, 267, 723, 1776, 7674, 540, 476, 1428, 10101, 540, 19719, 563, 3725, 701, 520, 891, 3268, 2394, 707, 1973, 4006, 568, 693, 2547, 476, 3583, 8406, 7933, 299, 269, 4495, 707, 1973, 4006, 568, 1394, 538, 2039, 267, 596, 1522, 2015, 4189, 513, 15165, 609, 2370, 610, 1100, 7378, 547, 1118, 2386, 621, 1281, 660, 6749, 1586, 269, 1403, 596, 3548, 513, 15165, 267, 1118, 621, 513, 1507, 267, 3940, 11656, 15165, 267, 543, 581, 6297, 540, 6450, 895, 1164, 7280, 2157, 563, 2252, 596, 946, 513, 6806, 8520, 3926, 267, 1865, 609, 707, 3782, 2319, 952, 596, 1058, 1491, 1447, 982, 476, 1428, 10101, 547, 2953, 513, 1970, 7280, 1871, 563, 9827, 6744, 281, 1215, 1677, 3683, 2492, 17491, 595, 9545, 902, 1677, 700, 846, 13379, 454, 293, 8463, 3794, 26651, 25779, 281, 476, 7761, 454, 3963, 286, 2776, 16227, 649, 5941, 602, 519, 5084, 288, 15109, 3339, 17509, 7280, 607, 4376, 2999, 476, 1911, 8406, 7933, 331, 269, 1717, 267, 2789, 1382, 2090, 1397, 602, 607, 17509, 7280, 4679, 267, 972, 568, 606, 2799, 1981, 540, 1072, 2042, 899, 3987, 543, 2295, 2068, 1256, 952, 621, 13978, 1369, 519, 3339, 2039, 269, 634, 8711, 540, 930, 540, 519, 1353, 2164, 1331, 912, 268, 9093, 4171, 17509, 1973, 7280, 729, 3152, 982, 476, 5952, 8406, 7933, 331, 1185, 513, 3648, 2362, 9019, 2557, 689, 9025, 3676, 982, 2367, 609, 1973, 14836, 1447, 982, 476, 5952, 8406, 7933, 331, 563, 268, 4658, 609, 17509, 7280, 2157, 538, 519, 1164, 3339, 2039, 1185, 3648, 2799, 9025, 2068, 1981, 982, 1004, 4171, 2157, 7283, 2630, 476, 3199, 8406, 7933, 331, 563, 268, 5753, 609, 17509, 7280, 2157, 476, 10436, 268, 4200, 8406, 7933, 331, 1185, 811, 982, 5595, 519, 1981, 540, 3384, 2392, 328, 3449, 543, 1826, 476, 273, 3987, 607, 4079, 950, 3379, 609, 1453, 4171, 2157, 941, 1447, 982, 476, 10436, 8406, 7933, 331, 563, 268, 4658, 609, 17509, 7280, 2157, 1063, 476, 11011, 268, 4200, 8406, 7933, 331, 1185, 513, 476, 274, 24670, 2333, 538, 1826, 476, 273, 3987, 1981, 3379, 547, 1346, 609, 2157, 1447, 982, 476, 10695, 8406, 7933, 331, 563, 268, 7324, 1762, 267, 2635, 2367, 267, 2362, 17509, 11919, 7280, 2157, 1369, 519, 3339, 2039, 13822, 606, 4830, 1981, 3815, 585, 1826, 476, 273, 3987, 269, 901, 1797, 602, 607, 17509, 7280, 4679, 267, 1256, 952, 519, 1377, 568, 1869, 2808, 3339, 267, 621, 1223, 5815, 513, 3648, 2362, 1981, 540, 3384, 3987, 267, 543, 713, 568, 3226, 14733, 952, 19483, 568, 3152, 982, 476, 1789, 269, 4586, 5649, 4746, 281, 1215, 13518, 17491, 1772, 769, 11709, 8759, 10979, 31201, 454, 1692, 1677, 6164, 25126, 5808, 779, 11109, 589, 1530, 714, 675, 2107, 28546, 454, 10287, 891, 3268, 952, 2576, 814, 513, 23069, 610, 3514, 3361, 676, 513, 1970, 1973, 4006, 1377, 912, 307, 749, 707, 3987, 1416, 2319, 952, 596, 2479, 723, 513, 4049, 3834, 334, 602, 3361, 596, 547, 723, 513, 23069, 610, 3514, 563, 10673, 1406, 7323, 281, 1215, 13518, 17491, 769, 932, 984, 8643, 5259, 962, 690, 4669, 454, 1692, 2052, 594, 6744, 3733, 10552, 17491, 5426, 9453, 589, 631, 2678, 454, 2467, 616, 2081, 538, 799, 596, 666, 2638, 1973, 4006, 1377, 1510, 519, 2757, 11281, 1505, 267, 855, 798, 4063, 602, 789, 616, 711, 607, 4977, 269, 589, 3926, 1572, 519, 6024, 7280, 5464, 6802, 568, 899, 606, 7378, 6802, 267, 799, 666, 948, 596, 1265, 3270, 543, 3466, 538, 707, 4006, 2157, 269, 1452, 1875, 1790, 4459, 2409, 946, 13590, 6329, 547, 1224, 7280, 538, 519, 1560, 563, 13425, 2659, 10552, 3794, 26651, 20946, 454, 2690, 1082, 1004, 609, 3987, 267, 10992, 741, 1973, 7280, 1377, 1142, 1554, 568, 606, 1271, 1259, 547, 4383, 741, 3987, 269, 16424, 707, 1973, 7280, 1377, 568, 1034, 1271, 952, 596, 1491, 7378, 269, 634, 2164, 540, 1973, 7280, 5464, 666, 948, 596, 1118, 3664, 827, 1426, 267, 2168, 2534, 267, 543, 11955, 563, 763, 1034, 1455, 1259, 547, 2638, 707, 1973, 7280, 1377, 693, 1753, 568, 609, 513, 1973, 7280, 11281, 269, 1411, 1205, 513, 6749, 540, 1973, 676, 533, 4459, 532, 519, 2427, 540, 707, 29327, 760, 609, 513, 561, 4545, 564, 269, 3973, 596, 4019, 519, 1973, 547, 513, 1449, 14816, 269, 634, 11281, 786, 1397, 596, 875, 1454, 7280, 568, 538, 707, 1973, 693, 519, 4090, 563, 16485, 707, 1072, 1416, 2319, 875, 1419, 596, 1058, 2638, 707, 1973, 7280, 2157, 269, 5269, 2386, 547, 1832, 513, 2594, 540, 707, 1973, 7280, 1582, 19295, 4242, 269, 1411, 666, 1820, 12215, 540, 713, 7280, 1582, 27902, 5750, 269, 6875, 891, 5638, 609, 596, 950, 596, 3643, 707, 1072, 1416, 2319, 563, 27775, 2105, 7335, 281, 1548, 9701, 674, 8463, 10552, 17491, 2142, 454, 9827, 6744, 281, 1215, 1677, 19321, 17491, 12128, 454, 3963, 9701, 589, 12287, 5192, 634, 589, 272, 322, 4530, 454, 14818, 532, 666, 948, 1072, 1416, 4648, 454, 268, 1265, 2392, 328, 3449, 543, 8480, 596, 827, 6197, 2242, 547, 948, 596, 8488, 610, 2061, 1826, 476, 273, 3987, 454, 268, 1265, 1826, 476, 273, 3987, 454, 268, 960, 609, 596, 547, 6895, 519, 2068, 543, 948, 1118, 2126, 3664, 547, 2061, 8374, 454, 2252, 596, 723, 1981, 2188, 585, 2392, 328, 3449, 610, 3987, 267, 2911, 609, 707, 4387, 827, 2436, 596, 1058, 581, 7318, 563, 9827, 6744, 281, 2052, 1284, 6513, 17491, 9453, 6925, 454, 1692, 1772, 14523, 16570, 20945, 7066, 730, 454, 2691, 707, 1973, 4006, 2157, 616, 1932, 1970, 267, 4189, 11950, 568, 1883, 269, 1403, 596, 723, 3987, 267, 2119, 547, 1832, 1164, 19346, 16152, 593, 1688, 563, 763, 1977, 12128, 5948, 15565, 602, 707, 15165, 723, 693, 2547, 476, 1428, 10101, 540, 11950, 269, 2368, 1434, 16152, 547, 1832, 593, 1688, 616, 912, 268, 21297, 10365, 610, 10733, 323, 28979, 454, 268, 4195, 610, 12015, 4829, 454, 2791, 849, 666, 1491, 7280, 14342, 547, 6385, 6318, 707, 1973, 4006, 952, 922, 1970, 269, 1452, 616, 2139, 1510, 513, 13310, 269, 4706, 1271, 547, 2638, 875, 1082, 10101, 616, 538, 1142, 16979, 1354, 2921, 873, 269, 13667, 547, 1205, 476, 1428, 547, 476, 736, 10101, 540, 11950, 563, 310, 7159, 476, 1428, 3764, 1310, 4189, 610, 2921, 513, 7280, 16979, 543, 1449, 707, 1973, 4006, 1586, 269, 1403, 707, 1973, 4006, 568, 711, 2469, 909, 267, 3548, 1776, 476, 1428, 10101, 540, 11950, 610, 1491, 1776, 9570, 540, 7280, 14342, 269, 19244, 713, 2394, 707, 1973, 4006, 1377, 6238, 547, 4473, 563, 6826, 2386, 711, 547, 31952, 805, 269, 901, 1223, 1291, 547, 1973, 4006, 2157, 602, 616, 1932, 1164, 563, 2252, 707, 1973, 4006, 3788, 796, 22529, 633, 267, 3346, 707, 4387, 610, 6595, 2533, 1318, 2476, 269, 1879, 538, 8969, 267, 1521, 563, 21618, 540, 1970, 1973, 4006, 2356, 1205, 8338, 952, 789, 516, 2451, 15860, 269, 5269, 606, 13393, 547, 1294, 707, 4387, 952, 596, 723, 3987, 543, 1995, 1970, 1973, 4006, 2157, 1419, 267, 610, 952, 596, 723, 2589, 267, 1256, 952, 596, 21645, 723, 3987, 563, 2791, 2904, 6145, 281, 1215, 2052, 594, 4530, 3733, 10552, 17491, 2311, 5851, 0, 307, 1778, 547, 17546, 3119, 454, 288, 3119, 1153, 4116, 779, 2816, 568, 2760, 513, 20585, 835, 543, 2242, 1169, 1554, 256, 4495, 11727, 267, 789, 666, 581, 4280, 547, 4001, 1453, 607, 1762, 607, 476, 275, 909, 547, 519, 2085, 540, 476, 1556, 269, 2334, 568, 1234, 4003, 547, 5729, 476, 277, 563, 5472, 3119, 1153, 3610, 723, 519, 5539, 547, 1544, 543, 4001, 519, 2898, 540, 519, 6437, 547, 741, 1378, 1362, 269, 3502, 1152, 713, 267, 855, 789, 616, 2141, 3238, 609, 519, 1514, 267, 3929, 267, 7214, 267, 2168, 543, 5837, 1646, 540, 741, 10453, 563, 1432, 1281, 513, 3119, 1153, 4116, 798, 888, 288, 3119, 1153, 4116, 781, 1292, 5539, 1282, 519, 1554, 568, 547, 4001, 543, 2708, 1453, 269, 1717, 267, 972, 616, 1082, 9867, 2238, 602, 513, 3119, 1153, 4116, 568, 3743, 585, 1519, 281, 3384, 543, 5807, 3617, 1514, 1983, 543, 5759, 538, 1453, 282, 30070, 543, 11121, 1453, 282, 4509, 9015, 538, 519, 4928, 282, 12570, 543, 10916, 1453, 781, 3356, 282, 5329, 909, 547, 4266, 609, 2242, 543, 1646, 547, 519, 6437, 282, 9870, 4145, 952, 789, 5469, 2152, 609, 513, 1880, 1126, 282, 2324, 609, 543, 14379, 609, 3237, 282, 2921, 851, 538, 11401, 282, 1418, 2358, 543, 10283, 538, 3063, 268, 22793, 2238, 563, 27650, 1153, 3610, 616, 849, 4397, 547, 1491, 942, 3544, 519, 3044, 2324, 1554, 547, 5965, 3450, 2326, 543, 1565, 2200, 267, 1665, 1453, 781, 960, 543, 7390, 11401, 269, 0, 19770, 543, 3345, 9705, 779, 20556, 2037, 1562, 2048, 23208, 11270, 20371, 288, 1007, 4457, 5605, 26513, 547, 3345, 9705, 8452, 538, 12877, 784, 344 ]

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

[ 6466, 2571, 4252, 5716, 12334, 689, 513, 11280, 12334, 532, 5858, 563, 3963, 798, 789, 1289, 621, 513, 2571, 4252, 888, 763, 2012, 968, 7809, 4252, 892, 729, 2016, 547, 519, 3014, 538, 476, 4572, 277, 1317, 519, 3440, 1031, 547, 581, 2571, 282, 2705, 267, 538, 2413, 6377, 6165, 267, 519, 11084, 616, 2182, 269, 589, 29658, 4371, 538, 476, 4350, 274, 693, 519, 9628, 2622, 779, 12876, 838, 13899, 1719, 538, 519, 3014, 563, 1432, 568, 519, 16595, 513, 4807, 814, 16207, 513, 13836, 888, 763, 2871, 514, 1145, 2622, 3883, 540, 19475, 3081, 519, 16595, 12334, 2479, 16207, 676, 513, 4775, 6345, 729, 476, 7597, 544, 4877, 19544, 269, 630, 9340, 5998, 10774, 1916, 1432, 616, 519, 476, 277, 2596, 1983, 538, 2571, 4252, 13836, 888, 763, 9238, 540, 18644, 267, 20414, 267, 18530, 267, 2361, 532, 267, 543, 1666, 518, 7342, 563, 7617, 2319, 4991, 1101, 693, 10627, 888, 763, 1101, 851, 540, 1142, 538, 940, 568, 1572, 519, 1283, 540, 519, 538, 940, 610, 1283, 28451, 269, 769, 13836, 267, 519, 2476, 2319, 2141, 16835, 1101, 693, 519, 1283, 540, 519, 538, 940, 267, 1247, 519, 1753, 2319, 16835, 2034, 693, 519, 5377, 540, 519, 538, 940, 269, 1879, 1614, 16080, 616, 1500, 267, 519, 1283, 540, 519, 538, 940, 568, 936, 269, 0, 1103, 1250, 6644, 267, 519, 1079, 3344, 616, 2556, 538, 1931, 547, 1174, 3687, 5500, 779, 1915, 543, 519, 2956, 540, 519, 1909, 1352, 4249, 538, 519, 3209, 269, 1358, 12799, 1397, 519, 3604, 1063, 1200, 543, 519, 824, 2777, 2742, 1749, 269, 3687, 5500, 779, 946, 540, 1312, 8747, 540, 2296, 267, 3979, 1977, 31996, 15066, 543, 9208, 2296, 2306, 1200, 1796, 856, 689, 519, 824, 2777, 2742, 1749, 267, 1317, 1352, 568, 519, 1152, 835, 1210, 1312, 7329, 1470, 937, 338, 538, 971, 607, 2312, 1259, 269, 769, 1840, 267, 1200, 7694, 540, 26878, 11047, 543, 20451, 607, 1134, 607, 1200, 10100, 547, 1796, 909, 1996, 1200, 3043, 20148, 525, 5036, 1200, 6306, 689, 1200, 8284, 2777, 2742, 1749, 607, 1134, 269, 4475, 267, 3687, 5500, 12722, 568, 606, 9565, 1915, 538, 713, 3209, 267, 4171, 2956, 3587, 2312, 998, 1200, 1893, 543, 1200, 2623, 513, 2091, 547, 1200, 454, 3528, 606, 20822, 5856, 2663, 7000, 607, 28024, 2678, 849, 1634, 607, 26290, 29646, 623, 3559, 534, 269, 28024, 2678, 267, 513, 3043, 4807, 267, 7024, 547, 1200, 554, 32528, 630, 29309, 13945, 264, 547, 3605, 602, 1200, 3993, 569, 562, 15967, 4790, 14932, 814, 2451, 855, 1100, 835, 6645, 1018, 5949, 269, 17652, 28024, 2678, 30877, 519, 21440, 1200, 2486, 2853, 543, 16976, 547, 2328, 513, 1433, 1141, 9739, 540, 3109, 786, 581, 6659, 269, 2701, 4485, 589, 756, 850, 523, 585, 4687, 1200, 2239, 547, 799, 589, 756, 850, 523, 20781, 9797, 543, 849, 1577, 779, 3687, 5500, 538, 741, 5728, 269, 3687, 5500, 267, 589, 756, 850, 523, 779, 3659, 267, 1776, 3109, 948, 267, 8761, 513, 5728, 827, 7323, 670, 11035, 602, 5849, 7323, 670, 11035, 779, 16563, 1310, 519, 8313, 540, 741, 1603, 1788, 563, 3725, 28136, 1767, 267, 968, 2026, 594, 5249, 1250, 1259, 998, 10927, 1153, 4974, 1603, 267, 594, 2968, 4368, 730, 593, 519, 2856, 540, 14693, 10213, 28741, 24297, 779, 1650, 6100, 10801, 519, 1650, 267, 4787, 331, 2393, 779, 796, 576, 2084, 4674, 547, 2744, 811, 1702, 827, 28741, 24297, 3366, 547, 4742, 2673, 609, 1200, 1920, 269, 1703, 941, 1082, 10792, 4606, 538, 519, 4098, 267, 1813, 547, 519, 1920, 779, 10845, 2509, 454, 763, 6435, 267, 513, 3209, 676, 22186, 787, 333, 14351, 9116, 267, 6645, 519, 1650, 540, 513, 1762, 4807, 3957, 26290, 29646, 968, 306, 651, 2678, 892, 623, 3559, 534, 269, 2701, 7479, 3547, 3979, 1977, 12103, 1749, 547, 948, 2328, 513, 1433, 540, 11042, 602, 786, 6038, 1689, 519, 1259, 590, 719, 615, 2996, 1294, 741, 12103, 1749, 11014, 269, 2290, 540, 519, 1292, 3197, 267, 513, 3109, 30823, 3957, 589, 756, 850, 523, 267, 3972, 338, 28024, 2678, 1101, 543, 6645, 1200, 5863, 855, 4158, 1650, 269, 2201, 519, 824, 1688, 267, 595, 20782, 267, 513, 3043, 5580, 1647, 11665, 4807, 267, 814, 513, 12357, 2250, 602, 8032, 1200, 1272, 269, 901, 1433, 649, 2314, 513, 4190, 9661, 609, 1082, 5339, 1983, 267, 855, 3961, 267, 799, 11225, 513, 1268, 267, 7173, 5661, 1657, 782, 563, 1805, 1442, 9116, 6594, 3860, 1603, 543, 2296, 585, 1200, 15938, 1576, 689, 519, 2160, 540, 17665, 269, 3973, 1352, 6410, 547, 1715, 3840, 538, 1931, 547, 11654, 960, 538, 519, 13629, 1870, 269, 1280, 827, 8370, 1296, 1352, 6035, 1200, 2533, 538, 6725, 543, 13629, 540, 12139, 972, 543, 2663, 882, 11343, 547, 24611, 267, 11908, 269, 2701, 17146, 1200, 1719, 547, 5339, 1603, 607, 1352, 6410, 1394, 547, 3162, 269, 2991, 2947, 1296, 540, 2182, 960, 593, 1200, 2123, 1603, 1788, 1352, 6368, 1185, 634, 6435, 3370, 538, 476, 1220, 280, 563, 9288, 7566, 25264, 4446, 1258, 729, 1200, 7887, 1689, 689, 1200, 2025, 1582, 267, 1317, 1200, 4651, 1705, 711, 1450, 1200, 581, 538, 1022, 3347, 267, 855, 1352, 4682, 856, 538, 1857, 609, 25264, 968, 20142, 1516, 538, 519, 5835, 2914, 31856, 539, 1207, 1375, 344, 543, 519, 20083, 2319, 540, 536, 904, 689, 519, 561, 6116, 7123, 892, 630, 3393, 275, 1040, 9182, 267, 713, 729, 1152, 1317, 1352, 729, 2713, 538, 1200, 1378, 4641, 543, 5156, 602, 25264, 1131, 581, 519, 835, 547, 19533, 1200, 269, 25264, 729, 968, 2254, 513, 2261, 11538, 812, 892, 630, 3393, 275, 264, 543, 1131, 711, 19533, 14667, 267, 855, 1352, 15189, 547, 3398, 519, 24677, 540, 7365, 689, 1864, 267, 865, 1352, 7166, 1864, 547, 1832, 1864, 609, 1200, 11014, 269, 2701, 18423, 1369, 1200, 2777, 547, 1832, 9887, 538, 519, 6196, 3162, 269, 1879, 1352, 5143, 519, 2367, 547, 1294, 29962, 590, 691, 528, 529, 267, 1352, 729, 711, 3222, 602, 968, 8624, 517, 601, 590, 691, 528, 529, 1185, 1044, 4666, 585, 3592, 4557, 1296, 892, 630, 3393, 273, 264, 693, 602, 1448, 563, 1607, 568, 3254, 950, 519, 12103, 1749, 3858, 547, 5639, 856, 741, 2984, 1310, 962, 2544, 2904, 568, 18486, 269, 634, 2984, 5143, 538, 519, 3209, 5000, 3979, 4892, 547, 1491, 2962, 269, 634, 3209, 2982, 519, 3668, 540, 8103, 538, 12722, 17478, 4031, 269, 1452, 2021, 6813, 21440, 968, 3697, 513, 14974, 267, 1496, 1721, 621, 316, 666, 2760, 581, 23174, 1496, 553, 316, 1279, 607, 621, 568, 4988, 909, 855, 1590, 581, 8118, 609, 782, 922, 579, 6921, 1465, 892, 630, 21914, 1040, 901, 17604, 2982, 741, 15141, 1190, 3646, 547, 5639, 856, 741, 14226, 543, 21440, 282, 1100, 2339, 519, 4539, 563, 5194, 1761, 2601, 602, 30225, 27091, 2968, 29279, 547, 3288, 644, 534, 636, 568, 1317, 1352, 4718, 602, 1259, 621, 1003, 5523, 11427, 269, 12877, 651, 547, 1200, 10450, 269, 898, 568, 2693, 602, 30225, 27091, 4941, 547, 7759, 9887, 540, 519, 16203, 1352, 5433, 585, 10205, 532, 1200, 2025, 2828, 269, 2701, 729, 865, 2673, 547, 782, 540, 519, 10437, 2324, 538, 519, 10051, 2777, 267, 855, 950, 1352, 1121, 541, 3072, 543, 2968, 519, 4807, 540, 519, 2777, 267, 782, 540, 1200, 2828, 1185, 547, 1521, 1200, 8335, 269, 1403, 30225, 27091, 18423, 538, 1200, 5127, 782, 1554, 267, 1352, 1131, 711, 723, 547, 4308, 609, 1200, 8823, 540, 519, 1434, 2395, 950, 3025, 5701, 1142, 824, 8449, 269, 5487, 644, 534, 636, 1131, 849, 948, 1200, 7340, 827, 1200, 546, 712, 9393, 945, 1705, 711, 2463, 1200, 563, 9961, 519, 6602, 540, 1010, 5067, 711, 1373, 3043, 267, 646, 1025, 1868, 2677, 790, 324, 585, 1373, 519, 2014, 540, 519, 1966, 269, 1261, 4465, 1406, 3717, 856, 540, 519, 6602, 540, 1864, 1373, 519, 835, 609, 3109, 6561, 1317, 621, 568, 30849, 547, 1010, 1920, 269, 1261, 568, 1202, 17567, 543, 1131, 2864, 2800, 1010, 1378, 1920, 630, 294, 10232, 11232, 2593, 1862, 272, 264, 6271, 1383, 540, 20451, 4386, 538, 519, 1259, 602, 8496, 877, 4406, 12107, 324, 4769, 1412, 339, 723, 513, 1126, 540, 9887, 543, 835, 1554, 1247, 1200, 9393, 729, 14964, 646, 2501, 2390, 513, 1126, 1175, 18069, 1985, 547, 513, 6149, 30361, 630, 2419, 641, 514, 1862, 623, 326, 563, 15463, 3993, 729, 1360, 7453, 827, 519, 3652, 602, 941, 6854, 1996, 3109, 1004, 267, 543, 13473, 1200, 609, 7301, 4978, 269, 634, 17478, 9003, 585, 8602, 7741, 729, 6026, 547, 631, 2801, 22994, 2917, 676, 1200, 3993, 693, 606, 9565, 2085, 950, 1352, 1031, 513, 11954, 7606, 19880, 269, 968, 296, 1705, 711, 6318, 596, 547, 946, 519, 25549, 19880, 256, 1862, 901, 568, 18660, 856, 1934, 267, 631, 2801, 22994, 2917, 269, 1411, 3580, 6952, 3676, 17373, 263, 1805, 1442, 9116, 476, 9340, 994, 296, 267, 2348, 5892, 1224, 519, 3003, 1433, 267, 594, 917, 602, 621, 1281, 1739, 538, 519, 6249, 540, 15746, 269, 11534, 1833, 1373, 968, 335, 1503, 784, 539, 16970, 610, 24407, 2126, 610, 1852, 892, 568, 1018, 729, 2921, 1747, 2429, 713, 3003, 3209, 269, 901, 666, 581, 4481, 8810, 3020, 950, 513, 3915, 2501, 856, 17548, 602, 3043, 543, 17051, 666, 1100, 3476, 2671, 519, 1482, 1964, 7741, 267, 4061, 7323, 670, 11035, 1185, 513, 5094, 19880, 9112, 585, 589, 756, 850, 523, 269, 1879, 631, 2801, 22994, 2917, 8942, 547, 946, 589, 756, 850, 523, 779, 19880, 1352, 568, 695, 3139, 676, 10906, 269, 2991, 713, 568, 950, 589, 756, 850, 523, 3217, 6927, 883, 1200, 1378, 3946, 547, 4001, 631, 2801, 519, 3020, 2495, 540, 7292, 7862, 543, 3540, 454, 9515, 1287, 4682, 547, 1153, 547, 1451, 875, 547, 1831, 835, 543, 1352, 1287, 21783, 689, 968, 310, 21392, 3427, 892, 538, 476, 4198, 277, 538, 6778, 31996, 517, 267, 12924, 269, 2991, 1352, 21783, 689, 835, 1153, 267, 1352, 729, 27352, 4691, 1819, 689, 476, 4198, 277, 2394, 476, 4198, 280, 269, 3973, 693, 2085, 476, 1704, 1352, 3370, 1200, 1101, 3126, 538, 6965, 538, 513, 12139, 269, 17451, 2094, 1352, 3323, 1060, 614, 621, 3323, 547, 1491, 1055, 543, 28120, 21546, 3323, 1603, 811, 6965, 2835, 269, 28120, 21546, 729, 851, 540, 519, 1883, 9097, 15594, 602, 729, 538, 519, 6468, 1412, 338, 11873, 267, 1352, 849, 729, 835, 540, 519, 3401, 540, 519, 4139, 12339, 21442, 1895, 2094, 519, 476, 3422, 271, 779, 563, 1103, 968, 2662, 626, 4802, 1412, 543, 18844, 514, 1412, 6468, 540, 29630, 807, 281, 17402, 13756, 4595, 5441, 267, 9232, 298, 15811, 918, 16279, 615, 1924, 18255, 11339, 827, 2013, 24713, 625, 547, 3950, 519, 7924, 1646, 540, 1614, 4775, 29630, 1014, 2852, 20021, 547, 3313, 875, 2069, 666, 1689, 741, 5339, 6208, 267, 782, 540, 7247, 616, 1924, 18255, 779, 5449, 1053, 269, 1924, 18255, 7710, 875, 519, 2148, 622, 2853, 814, 3310, 741, 6009, 267, 1753, 267, 543, 2146, 269, 2701, 14550, 519, 1585, 2081, 7924, 814, 23518, 519, 1614, 2021, 269, 1924, 18255, 3096, 1200, 4681, 547, 2312, 519, 1296, 540, 2887, 4850, 689, 2069, 543, 1857, 8226, 540, 519, 29630, 1014, 2528, 269, 7335, 834, 2662, 626, 4802, 1412, 543, 18844, 514, 1412, 6468, 540, 29630, 807, 281, 17402, 13756, 4595, 5441, 257, 814, 1500, 606, 1764, 538, 1259, 594, 2070, 519, 2956, 540, 454, 1103, 519, 1439, 589, 756, 850, 523, 543, 28024, 2678, 5280, 1142, 824, 269, 2991, 519, 1433, 729, 3370, 28024, 2678, 6645, 589, 756, 850, 523, 602, 1352, 9715, 968, 320, 2816, 2709, 693, 22489, 779, 18225, 538, 1715, 3840, 607, 513, 5299, 9375, 779, 13930, 1848, 630, 275, 4200, 1040, 2701, 849, 6645, 1200, 602, 1352, 968, 20852, 547, 519, 1957, 593, 11016, 543, 16718, 892, 543, 5143, 6004, 269, 13642, 602, 1352, 5156, 589, 756, 850, 523, 1058, 1491, 1200, 5544, 563, 297, 6756, 9060, 856, 602, 2098, 2465, 2692, 568, 2836, 335, 1248, 807, 1412, 338, 1178, 2738, 517, 267, 1818, 1010, 7911, 1200, 1390, 3766, 571, 2738, 517, 267, 5900, 16307, 23216, 547, 581, 1010, 15818, 267, 952, 1152, 547, 3247, 519, 19364, 3722, 303, 689, 19480, 538, 282, 543, 5329, 873, 689, 17665, 269, 13536, 593, 267, 14639, 3217, 513, 5728, 7552, 547, 2836, 335, 1248, 807, 1152, 547, 1205, 1256, 811, 13347, 267, 1317, 2836, 335, 1248, 807, 568, 6158, 547, 1200, 713, 1259, 267, 711, 1210, 1697, 2296, 269, 1924, 2836, 335, 1248, 807, 1175, 13515, 6158, 15587 ]

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

[ 3781, 594, 10692, 1055, 513, 1629, 4577, 22542, 15608, 2962, 4137, 269, 17610, 267, 621, 1522, 3280, 28457, 748, 267, 855, 3006, 5168, 2731, 568, 24928, 982, 5708, 269, 3767, 267, 8164, 594, 4585, 513, 29737, 7260, 267, 594, 2141, 4898, 952, 12341, 267, 6456, 1369, 519, 14604, 267, 6013, 1776, 26862, 9661, 7996, 547, 11200, 538, 938, 1158, 269, 2991, 782, 267, 1148, 708, 527, 919, 1272, 267, 543, 1272, 6157, 14560, 547, 708, 10028, 1148, 269, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 10527, 4670, 5956, 609, 645, 4459, 645, 16037, 630, 7033, 774, 558, 3205, 2073, 689, 630, 630, 667, 3326, 2006, 554, 3558, 327, 10884, 547, 1205, 547, 519, 4884, 540, 623, 1695, 2393, 320, 2073, 1141, 646, 13290, 547, 1265, 513, 8004, 3957, 29237, 717, 5424, 630, 9253, 20811, 2142, 15590, 2073, 945, 729, 695, 14725, 5287, 547, 476, 1556, 6279, 538, 630, 630, 14068, 932, 2335, 1564, 2073, 547, 6961, 547, 1200, 602, 1352, 781, 711, 4805, 1547, 476, 11531, 2073, 519, 4670, 11912, 547, 7225, 603, 27578, 2073, 945, 814, 513, 3781, 332, 732, 827, 519, 2621, 602, 5949, 538, 519, 3105, 4670, 513, 1032, 1354, 1547, 476, 17451, 2094, 519, 2621, 602, 3576, 1747, 513, 1032, 1354, 2073, 7225, 603, 814, 1044, 8384, 519, 23625, 1633, 654, 732, 5264, 2073, 18468, 602, 519, 9162, 616, 1869, 9800, 1547, 476, 11531, 2073, 513, 536, 636, 9397, 883, 519, 654, 732, 5264, 2073, 543, 6238, 547, 3190, 1472, 609, 513, 804, 1144, 28886, 19564, 2073, 2394, 646, 4991, 5679, 18088, 538, 519, 2212, 609, 513, 4216, 540, 9162, 2073, 4929, 1864, 547, 5734, 1010, 2212, 593, 519, 2666, 2073, 11318, 1864, 1547, 476, 1717, 2073, 1010, 1973, 5170, 547, 2095, 936, 547, 519, 1747, 1141, 519, 27313, 729, 12617, 2073, 543, 6770, 1394, 2433, 17926, 744, 3591, 773, 30751, 2073, 10793, 31105, 2073, 6004, 269, 853, 1738, 2073, 543, 713, 942, 6770, 909, 513, 1007, 20740, 11442, 3957, 2098, 4861, 2884, 1355, 2073, 513, 1025, 27475, 22542, 808, 302, 292, 2962, 4137, 530, 328, 10640, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 1684, 711, 1376, 609, 5220, 899, 476, 834, 5629, 2390, 513, 942, 257, 607, 713, 568, 513, 14703, 2022, 543, 711, 513, 3209, 267, 596, 1058, 849, 2057, 4358, 609, 5929, 5220, 899, 834, 288, 1906, 1296, 3516, 257, 610, 834, 288, 1906, 1296, 1394, 2580, 581, 3860, 269, 0, 6092, 5149, 281, 3220, 269, 20844, 717, 6759, 1889, 345, 268, 5226, 328, 10722, 2158, 543, 519, 14716, 540, 11204, 270, 2419, 4618, 334, 14740, 998, 3778, 267, 18623, 1222, 267, 543, 2920, 13659, 692, 1103, 713, 1576, 1770, 267, 649, 786, 5490, 883, 519, 1272, 543, 960, 540, 3220, 269, 20844, 717, 6759, 1889, 345, 268, 5226, 328, 10722, 2158, 630, 297, 294, 304, 1070, 513, 19416, 4137, 538, 11204, 543, 932, 4618, 334, 7214, 1686, 269, 1284, 786, 2263, 875, 808, 294, 304, 781, 7418, 547, 932, 545, 3570, 270, 334, 2090, 723, 8032, 938, 1620, 540, 5198, 543, 14940, 538, 5824, 3013, 543, 3564, 269, 3414, 606, 6514, 540, 1010, 14046, 1568, 267, 17933, 267, 543, 30023, 267, 649, 786, 5659, 519, 10848, 540, 11204, 543, 932, 4618, 334, 3961, 5250, 267, 922, 3140, 5072, 267, 543, 4207, 6286, 780, 272, 269, 8466, 12745, 281, 5487, 674, 1258, 614, 320, 543, 4033, 1436, 692, 763, 772, 2529, 11607, 300, 1410, 4815, 8473, 267, 610, 3288, 18651, 614, 320, 267, 814, 1279, 1044, 513, 3135, 540, 2686, 5385, 267, 4655, 267, 543, 19908, 269, 901, 10465, 814, 849, 6039, 607, 513, 3532, 3090, 540, 519, 7292, 543, 6803, 15523, 1063, 5165, 15092, 543, 4892, 269, 769, 713, 3296, 267, 649, 786, 1865, 519, 3140, 2796, 540, 3288, 18651, 614, 320, 267, 1519, 519, 15521, 540, 2871, 611, 2728, 701, 670, 10537, 2998, 630, 7277, 279, 1070, 799, 3964, 519, 2413, 8473, 267, 543, 519, 4858, 1356, 334, 5358, 630, 3707, 273, 268, 3422, 275, 1070, 799, 4547, 6634, 540, 11204, 4600, 547, 519, 2136, 2276, 269, 1284, 786, 4983, 875, 891, 2621, 8329, 547, 519, 30886, 543, 588, 25634, 1436, 540, 5165, 15092, 543, 932, 4618, 657, 267, 5935, 519, 1514, 5251, 602, 808, 294, 304, 1131, 2663, 4497, 609, 998, 1010, 14172, 543, 17933, 780, 272, 269, 25827, 25043, 281, 26787, 932, 545, 3570, 270, 334, 5525, 692, 26589, 2515, 8284, 5640, 971, 607, 717, 3271, 807, 1323, 345, 12245, 14243, 320, 267, 2549, 2946, 878, 334, 623, 1563, 525, 267, 543, 21877, 623, 2946, 30959, 267, 808, 294, 304, 5129, 513, 11358, 1909, 538, 9591, 519, 2361, 540, 932, 545, 3570, 270, 334, 2090, 269, 901, 15834, 1935, 11394, 547, 1174, 519, 2833, 540, 11204, 4892, 676, 6313, 741, 12583, 267, 4529, 267, 543, 8739, 27791, 9620, 269, 769, 713, 3296, 267, 649, 786, 1353, 519, 1883, 6436, 543, 16097, 2919, 1369, 932, 545, 3570, 270, 334, 2090, 267, 9878, 1880, 3007, 547, 808, 294, 304, 781, 1523, 540, 834, 6652, 638, 5995, 2437, 799, 4016, 547, 519, 3860, 543, 4199, 995, 9542, 540, 11204, 543, 6805, 4529, 538, 3210, 547, 15746, 543, 30886, 780, 272, 269, 7647, 8765, 19928, 1903, 281, 5675, 932, 545, 3570, 270, 334, 2876, 1559, 692, 3080, 540, 808, 294, 304, 781, 1034, 1713, 23543, 6013, 538, 1010, 14262, 1382, 593, 932, 545, 3570, 270, 334, 1686, 267, 4074, 267, 6214, 267, 543, 2528, 269, 3571, 3875, 2835, 543, 4930, 267, 971, 607, 834, 2419, 4618, 334, 15348, 281, 18712, 543, 8871, 1047, 257, 630, 3192, 274, 1070, 834, 305, 334, 1824, 540, 932, 4618, 334, 15348, 281, 476, 8182, 271, 268, 3707, 271, 257, 630, 1960, 271, 1070, 543, 834, 300, 1410, 4618, 1977, 8534, 267, 476, 9692, 271, 268, 1960, 271, 257, 630, 1960, 275, 1070, 1683, 2565, 4030, 883, 519, 3140, 3157, 602, 723, 8032, 11204, 543, 932, 4618, 334, 9163, 269, 1635, 7421, 891, 5931, 267, 649, 786, 2263, 4798, 899, 9194, 267, 4187, 267, 543, 6043, 267, 11744, 875, 808, 294, 304, 781, 960, 2591, 2757, 6386, 827, 5824, 343, 2950, 538, 519, 2136, 2276, 780, 272, 269, 22895, 11208, 543, 11572, 11059, 281, 715, 4669, 1005, 15557, 543, 4317, 7827, 692, 19741, 1010, 4081, 18697, 267, 808, 294, 304, 729, 7184, 8149, 547, 29013, 6932, 5640, 543, 2502, 538, 2797, 2962, 269, 10801, 1010, 4876, 267, 646, 15695, 9118, 1053, 543, 19658, 19929, 1063, 19174, 267, 2146, 25696, 267, 543, 14519, 269, 769, 713, 3296, 267, 649, 786, 8495, 519, 1764, 540, 808, 294, 304, 781, 30023, 593, 519, 1646, 540, 932, 545, 3570, 270, 334, 2090, 543, 2015, 875, 1010, 24099, 4485, 1522, 1217, 4207, 5717, 1472, 4763, 267, 10014, 267, 543, 1514, 5126, 269, 3958, 267, 649, 786, 2708, 808, 294, 304, 781, 9525, 538, 1585, 2797, 5322, 267, 20515, 519, 2081, 538, 799, 1010, 14172, 5483, 1010, 17933, 543, 13030, 17930, 780, 272, 269, 12634, 20480, 281, 17813, 267, 23532, 640, 267, 543, 27079, 4133, 538, 519, 476, 2641, 560, 11416, 692, 7661, 267, 649, 786, 1921, 808, 294, 304, 781, 9371, 547, 1699, 3466, 543, 9840, 4478, 5198, 267, 14940, 267, 543, 8473, 4133, 538, 519, 8938, 23867, 2540, 269, 11762, 949, 1331, 11776, 3609, 267, 2681, 1143, 267, 1232, 565, 11102, 3069, 267, 543, 30427, 17604, 269, 3414, 1895, 5717, 267, 2013, 2090, 267, 543, 14436, 1603, 10467, 267, 1053, 786, 9691, 6218, 519, 5571, 10083, 540, 808, 294, 304, 781, 960, 543, 2697, 3255, 585, 2417, 1382, 543, 6278, 780, 9961, 713, 1576, 1770, 267, 1053, 786, 2744, 513, 2620, 7071, 585, 519, 1272, 543, 960, 540, 3220, 269, 20844, 717, 6759, 1889, 345, 268, 5226, 328, 10722, 2158, 543, 519, 7096, 3310, 646, 1185, 593, 519, 4610, 540, 5824, 1977, 543, 932, 545, 3570, 270, 334, 2090, 269, 5047, 267, 789, 786, 1451, 547, 1589, 9691, 827, 519, 4070, 540, 11204, 543, 932, 4618, 334, 9163, 2066, 10665, 267, 5481, 267, 543, 10459, 267, 5807, 513, 811, 13857, 1620, 540, 5198, 543, 14940, 538, 1312, 3140, 543, 4207, 8658, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 307, 11698, 267, 5437, 476, 1556, 267, 476, 1708, 271, 7436, 835, 540, 519, 521, 5417, 652, 2395, 540, 1250, 1272, 269, 2201, 713, 1554, 267, 649, 9789, 11204, 1004, 593, 1312, 5011, 540, 3288, 18651, 614, 320, 543, 938, 16167, 1765, 331, 739, 513, 10828, 281, 519, 835, 543, 1152, 267, 3220, 269, 20844, 717, 6759, 1889, 345, 268, 5226, 328, 10722, 2158, 630, 297, 294, 304, 1916, 2171, 4503, 835, 540, 519, 6574, 30921, 711, 1152, 538, 519, 17113, 267, 855, 849, 519, 1158, 269, 634, 1249, 602, 808, 294, 304, 729, 4535, 513, 11204, 538, 1714, 1147, 630, 13640, 1537, 267, 932, 8811, 340, 1695, 7699, 267, 6792, 264, 543, 5747, 513, 10583, 11204, 270, 2419, 4618, 334, 538, 1714, 14926, 324, 630, 299, 657, 13353, 267, 4993, 264, 538, 513, 942, 950, 519, 11204, 5170, 547, 581, 824, 1242, 267, 12790, 543, 890, 329, 528, 520, 1242, 5713, 607, 513, 1989, 574, 12576, 540, 713, 1390, 2530, 585, 3288, 986, 5633, 563, 2690, 936, 476, 2004, 1296, 267, 808, 294, 304, 6131, 1010, 1272, 547, 10575, 3424, 519, 1004, 540, 519, 3141, 998, 1010, 9120, 14172, 267, 6131, 30023, 267, 2797, 3527, 543, 1714, 13228, 550, 1913, 269, 2755, 1010, 7418, 616, 1082, 267, 585, 519, 19160, 540, 2230, 267, 1934, 979, 513, 1906, 281, 5206, 5929, 2835, 543, 4930, 593, 932, 545, 3570, 270, 334, 1686, 267, 4074, 267, 6214, 543, 2528, 282, 5280, 3715, 519, 7811, 13210, 540, 932, 545, 3570, 543, 932, 4618, 334, 2090, 267, 2059, 609, 512, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 25886, 1315, 5824, 3013, 1315, 4937, 1315, 17813, 543, 23532, 640, 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, 3848, 476, 1691, 281, 11906, 22948, 543, 6481, 3427, 19369, 692, 13981, 20505, 912, 3528, 519, 1439, 540, 713, 3184, 267, 596, 786, 581, 2111, 547, 1384, 265, 13760, 519, 4909, 3741, 540, 3114, 3157, 602, 616, 4143, 547, 2564, 1153, 7041, 454, 265, 21302, 875, 891, 3741, 4019, 547, 1483, 8996, 3871, 454, 265, 15233, 707, 1702, 540, 3114, 3157, 547, 4194, 2042, 4122, 11402, 538, 4915, 692, 7072, 692, 1103, 2221, 781, 1158, 267, 7998, 4249, 513, 2565, 1909, 538, 3782, 543, 4915, 269, 1306, 513, 840, 2173, 539, 2875, 267, 11543, 513, 2620, 1620, 540, 3114, 3157, 666, 948, 5965, 596, 585, 1967, 593, 519, 14330, 2969, 543, 3564, 269, 901, 3184, 6212, 593, 1883, 3114, 3157, 602, 616, 1898, 585, 2564, 1153, 7041, 269, 1284, 786, 2263, 3584, 971, 607, 32721, 267, 737, 27282, 267, 3679, 1532, 848, 1226, 9902, 6319, 267, 6850, 322, 13511, 267, 543, 21655, 269, 1635, 6313, 891, 3584, 998, 513, 1483, 8996, 7828, 267, 596, 786, 2744, 3407, 4030, 883, 875, 3114, 3157, 1860, 1480, 1072, 543, 2068, 780, 307, 615, 332, 19392, 281, 634, 5530, 540, 6052, 15448, 692, 307, 615, 332, 19392, 568, 519, 1353, 540, 1648, 2242, 602, 2049, 1282, 3114, 6547, 269, 769, 1880, 267, 1079, 1271, 4031, 1827, 32721, 281, 519, 1101, 1876, 540, 32721, 267, 799, 2829, 602, 1648, 3112, 581, 2813, 610, 10032, 267, 1152, 9927, 282 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 11404, 267, 20900, 570, 269, 24415, 29773, 267, 21835, 540, 16680, 267, 7325, 773, 589, 269, 13259, 27231, 267, 12253, 918, 269, 9294, 518, 267, 18628, 4521, 3427, 4741, 585, 5769, 543, 5980, 267, 18628, 267, 11404, 267, 670, 7676, 1627, 269, 20944, 1206, 577, 1779, 267, 8349, 2106, 808, 269, 12876, 1652, 267, 24747, 518, 17832, 326, 744, 262, 291, 517, 24274, 700, 10861, 267, 28631, 267, 2910, 267, 585, 8891, 819, 619, 269, 18496, 645, 269, 7638, 18115, 328, 267, 12789, 1421, 3752, 545, 3218, 4937, 267, 21835, 540, 16680, 267, 25414, 4639, 267, 19608, 30374, 4937, 267, 29346, 700, 269, 26791, 267, 3493, 14280, 3752, 545, 3218, 4937, 267, 9253, 20811, 1488, 24650, 15593, 787, 267, 19608, 547, 519, 3752, 545, 3218, 9198, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 310, 15674, 2598, 335, 1393, 5590, 25557, 31469, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 4139, 1315, 13188, 1299, 11780, 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, 547, 938, 3408, 540, 7226, 26610, 256, 5620, 596, 2479, 16545, 1018, 621, 1131, 581, 899, 952, 707, 5172, 6288, 10393, 3893, 4130, 286, 9320, 930, 2694, 941, 3144, 2476, 547, 1628, 8075, 610, 15945, 269, 2334, 781, 2147, 547, 1018, 4523, 950, 9249, 1831, 27929, 1107, 789, 2736, 909, 883, 4130, 4773, 1813, 547, 1480, 2238, 899, 2679, 9897, 267, 5969, 1524, 4054, 267, 610, 2870, 11396, 269, 4653, 267, 1577, 781, 4685, 883, 713, 4241, 1888, 543, 1451, 827, 922, 4276, 547, 3676, 602, 666, 3262, 1063, 2831, 543, 3425, 780, 5331, 596, 2661, 2282, 513, 4190, 267, 18932, 4104, 4904, 609, 782, 5686, 540, 7068, 269, 1703, 616, 6263, 1814, 1562, 1572, 23224, 630, 3697, 8983, 543, 14148, 264, 945, 4163, 2189, 17900, 1634, 607, 13596, 269, 1452, 2370, 16921, 1810, 1406, 1205, 7210, 689, 891, 17900, 267, 855, 3006, 1004, 798, 950, 789, 2097, 538, 3346, 609, 873, 269, 12207, 723, 4362, 835, 1826, 540, 23633, 24059, 3957, 2274, 696, 2214, 4275, 2713, 3330, 891, 23224, 269, 9462, 494, 511, 692, 3086, 4952, 972, 781, 4070, 2469, 593, 1472, 519, 4104, 269, 4658, 1376, 21757, 856, 2127, 543, 7432, 873, 883, 3484, 4133, 543, 14252, 269, 1306, 513, 1267, 267, 11353, 540, 519, 4104, 616, 9674, 689, 1142, 824, 267, 8108, 9678, 15649, 269, 901, 1184, 568, 1572, 7226, 26610, 269, 9462, 490, 367, 6930, 504, 356, 692, 2026, 7733, 16756, 543, 1205, 7745, 6306, 267, 3173, 8068, 1945, 4277, 910, 811, 1004, 941, 3478, 7210, 689, 1346, 1482, 2274, 696, 2214, 4275, 4551, 1336, 538, 519, 23224, 256, 1215, 1705, 713, 4755, 286, 4270, 267, 3744, 3323, 14236, 543, 1500, 1896, 8906, 780, 5575, 267, 607, 7733, 2968, 4130, 267, 1978, 2249, 540, 23224, 20374, 1247, 1866, 4278, 1882, 269, 898, 5828, 856, 602, 519, 3283, 2451, 3297, 1185, 2362, 8458, 540, 8876, 2274, 696, 2214, 4275, 269, 19627, 267, 1004, 3459, 15025, 8335, 609, 741, 1604, 282, 3079, 540, 1175, 6972, 538, 519, 18137, 267, 11570, 1631, 3484, 539, 519, 2244, 543, 3357, 6251, 547, 519, 6967, 887, 4823, 5095, 269, 14936, 267, 519, 12012, 5251, 3366, 547, 2799, 1216, 2095, 689, 632, 10809, 539, 15113, 1938, 267, 4611, 538, 20115, 540, 24715, 656, 1216, 1472, 5321, 269, 2871, 612, 1018, 5949, 1985, 286, 962, 1575, 267, 519, 2199, 23224, 1031, 1346, 30077, 956, 1932, 1862, 663, 865, 1705, 519, 2274, 696, 2214, 4275, 1369, 873, 269, 9462, 502, 367, 692, 763, 4999, 540, 891, 2188, 8507, 538, 513, 3152, 4960, 540, 4598, 547, 2274, 696, 2214, 4275, 1851, 1004, 2713, 2282, 519, 27929, 9249, 269, 1879, 2576, 2501, 538, 1463, 3346, 609, 606, 7783, 3662, 610, 1256, 18549, 998, 13572, 3037, 610, 1216, 267, 972, 781, 513, 7872, 789, 1522, 10536, 519, 2068, 269, 1924, 267, 8497, 3677, 4448, 9249, 2337, 1832, 1312, 7320, 543, 1004, 8902, 2439, 4131, 781, 973, 777, 1384, 272, 269, 5274, 2238, 666, 1689, 5054, 267, 4929, 9249, 547, 1831, 4130, 543, 30890, 563, 273, 269, 6270, 2242, 949, 1291, 547, 606, 2333, 538, 519, 1297, 540, 19057, 540, 1978, 3676, 1851, 3552, 2831, 563, 274, 269, 1715, 4205, 1063, 1004, 267, 2831, 267, 543, 741, 9168, 10450, 1711, 3255, 585, 2068, 6771, 563, 275, 269, 18227, 1804, 267, 4448, 9249, 2640, 519, 1072, 540, 1312, 7320, 543, 3425, 7567, 2439, 3674, 333, 1405, 621, 5863, 875, 1454, 1764, 649, 666, 723, 593, 2470, 543, 6000, 286, 1635, 1620, 7226, 26610, 543, 922, 4539, 267, 649, 666, 1732, 5660, 938, 1909, 538, 7863, 8134, 543, 5009, 1857, 1072, 269, 8414, 3695, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 14549, 2238, 666, 2333, 610, 6175, 4220, 540, 16565, 513, 1990, 3019, 5328, 2068, 267, 16113, 676, 7133, 519, 5888, 543, 11606, 540, 14747, 269, 901, 1353, 11567, 519, 6402, 1063, 2244, 946, 543, 11763, 2068, 1981, 538, 22583, 28801, 267, 1141, 1480, 7449, 14571, 2238, 543, 2551, 2208, 616, 1958, 549, 2286, 593, 5065, 9249, 543, 519, 2404, 1979, 7974, 269, 1284, 6394, 1007, 1239, 593, 23633, 2274, 696, 2214, 4275, 267, 799, 616, 4551, 9738, 538, 1507, 25850, 23854, 269, 28298, 666, 2049, 998, 2673, 3346, 267, 855, 1034, 4749, 998, 9940, 3346, 609, 1216, 13572, 676, 519, 10729, 540, 7783, 14747, 269, 634, 5506, 540, 3968, 543, 9860, 729, 3379, 2066, 513, 13506, 540, 2067, 5848, 28033, 4104, 267, 7404, 4104, 15998, 267, 27876, 7573, 543, 824, 2010, 540, 6694, 4610, 267, 543, 538, 5321, 538, 513, 6917, 8498, 269, 4635, 891, 1239, 267, 649, 7318, 1808, 19165, 585, 875, 2244, 946, 32290, 8733, 2950, 543, 7506, 2068, 6771, 269, 634, 3448, 11606, 543, 605, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 295, 629, 18945, 32746, 7695, 257, 607, 851, 540, 834, 2793, 307, 13543, 1315, 23270, 338, 1299, 13206, 527, 1846, 1315, 4937, 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, 476, 272, 269, 274, 11137, 540, 519, 6092, 692, 1103, 713, 3803, 3296, 540, 938, 6679, 3184, 267, 649, 786, 1683, 606, 7650, 540, 519, 1576, 607, 513, 2898, 267, 10223, 519, 1292, 3584, 543, 4798, 602, 786, 581, 8268, 2429, 519, 14230, 540, 519, 1837, 269, 3776, 2832, 568, 547, 16491, 596, 609, 1312, 7811, 1702, 543, 4052, 1983, 2556, 547, 1174, 543, 5659, 13354, 13313, 2066, 1114, 2477, 543, 8658, 269, 1284, 786, 3035, 713, 676, 6313, 1585, 3029, 543, 19183, 540, 13313, 267, 922, 3123, 543, 4539, 267, 607, 1134, 607, 4540, 4550, 2275, 528, 8306, 3800, 543, 2994, 780, 763, 1353, 540, 13354, 13313, 3091, 4241, 4030, 883, 875, 1379, 6384, 267, 2797, 5238, 267, 2804, 2188, 267, 1514, 8155, 267, 543, 2686, 2418, 3337, 18348, 2623, 1472, 519, 1158, 269, 1635, 12561, 513, 3444, 5991, 1049, 5133, 267, 649, 666, 2697, 1455, 3270, 543, 7648, 538, 13313, 2157, 267, 2010, 267, 543, 3466, 267, 7551, 5807, 811, 5483, 9840, 827, 1018, 1568, 1107, 543, 1018, 3085, 1405, 1107, 950, 621, 2501, 547, 28530, 21910, 543, 6057, 540, 1857, 5604, 780, 2414, 2327, 22759, 543, 6278, 267, 1142, 7766, 3184, 786, 1246, 513, 2147, 2497, 281, 3689, 267, 649, 786, 6338, 1883, 2035, 543, 6436, 1644, 547, 519, 2016, 6249, 282, 2034, 267, 649, 786, 9414, 891, 2093, 998, 6405, 2665, 543, 12170, 2963, 689, 3309, 4525, 282, 3791, 267, 649, 786, 9691, 6218, 519, 9342, 543, 7687, 540, 1585, 27696, 4485, 1031, 547, 2268, 543, 5635, 13313, 18368, 282, 6368, 267, 649, 786, 2992, 2390, 3609, 6286, 543, 2104, 1382, 8846, 780, 6637, 5565, 267, 834, 23777, 3098, 543, 20970, 2437, 12538, 883, 1585, 2081, 538, 799, 13313, 814, 1044, 19040, 543, 12290, 538, 4081, 3332, 543, 19995, 10580, 269, 3371, 267, 649, 10646, 1063, 6264, 8957, 4620, 1399, 13313, 267, 1533, 7001, 267, 19121, 720, 267, 683, 13607, 1143, 267, 7817, 601, 1143, 267, 543, 824, 3029, 540, 23659, 29342, 766, 269, 5015, 267, 649, 2689, 2101, 17523, 6964, 547, 7584, 2477, 2687, 547, 741, 9228, 1377, 540, 8699, 267, 971, 607, 3690, 10337, 4139, 781, 4856, 8306, 3131, 8526, 12039, 630, 9573, 296, 1070, 519, 2622, 7813, 4659, 781, 6513, 540, 4856, 8306, 25824, 1807, 630, 290, 5746, 1070, 543, 1866, 269, 901, 2636, 721, 547, 5660, 519, 2591, 3238, 538, 13830, 1950, 9259, 899, 13313, 1210, 11050, 10832, 543, 7512, 2565, 3206, 3823, 1761, 12886, 543, 25354, 2404, 609, 873, 780, 19465, 593, 713, 5748, 267, 3848, 8422, 267, 834, 303, 11823, 30543, 543, 26291, 23113, 2437, 27180, 519, 1909, 540, 6101, 3652, 267, 13016, 2853, 267, 543, 10721, 12417, 538, 5935, 13313, 16426, 1369, 2229, 8041, 267, 9777, 2137, 267, 4140, 545, 25808, 267, 543, 824, 1857, 4703, 269, 1284, 1865, 25761, 1568, 10771, 519, 2956, 540, 11974, 543, 21356, 267, 9668, 540, 7060, 267, 11413, 267, 12477, 267, 7589, 267, 543, 4341, 540, 1876, 538, 19086, 18348, 21274, 269, 3958, 267, 649, 2263, 875, 21146, 1949, 267, 5428, 8804, 6042, 267, 3540, 3028, 15024, 267, 1569, 547, 1344, 7341, 267, 543, 27646, 321, 12294, 4027, 6127, 666, 4196, 607, 3407, 2645, 1996, 23659, 324, 9586, 2932, 780, 9202, 267, 3848, 9050, 267, 834, 30356, 11790, 543, 4886, 27159, 2437, 29506, 3278, 519, 6946, 2078, 1063, 13313, 267, 2804, 2208, 267, 4747, 3892, 267, 6710, 5786, 267, 543, 1480, 1646, 269, 14301, 593, 9565, 2090, 267, 649, 6542, 875, 28302, 2238, 24183, 2344, 4398, 267, 17225, 5092, 8928, 267, 22652, 14227, 13103, 267, 28511, 9979, 540, 22975, 267, 543, 2144, 1712, 3972, 538, 11180, 5238, 269, 5047, 267, 649, 4983, 519, 6708, 547, 799, 2067, 4199, 5763, 267, 4914, 5351, 267, 4123, 22371, 267, 2883, 5823, 7939, 267, 543, 4357, 5823, 10350, 3565, 547, 610, 13468, 18348, 2853, 2066, 1114, 5468, 780, 300, 8221, 3564, 6469, 9270, 267, 3848, 12866, 267, 834, 9558, 20139, 2920, 832, 543, 6820, 18868, 2437, 3376, 839, 519, 7828, 547, 6451, 3486, 7516, 540, 13354, 13313, 269, 13018, 267, 649, 8495, 875, 1617, 10561, 3906, 267, 6237, 1025, 665, 338, 267, 1875, 3766, 21194, 9988, 267, 543, 2518, 3761, 11800, 2170, 609, 3084, 6608, 547, 2901, 6536, 610, 15641, 324, 18348, 5615, 269, 769, 3257, 865, 267, 649, 8774, 1769, 593, 2152, 17640, 547, 2724, 561, 879, 837, 532, 267, 3454, 859, 5235, 267, 6896, 6760, 267, 6880, 13062, 830, 267, 2825, 12159, 267, 4074, 14226, 267, 543, 1480, 19338, 267, 1851, 1866, 780, 15563, 267, 3848, 14520, 267, 834, 12901, 328, 4211, 528, 8306, 11150, 543, 7454, 13756, 2437, 13754, 3278, 4245, 4121, 689, 3105, 5717, 543, 14592, 29829, 7840, 585, 14519, 267, 3540, 2486, 15628, 267, 1870, 3401, 267, 543, 7255, 4961, 5275, 547, 8396, 13313, 3927, 269, 1677, 713, 1439, 267, 649, 5619, 3811, 7459, 8045, 538, 1585, 2694, 540, 519, 1158, 267, 7421, 741, 5817, 3741, 267, 7175, 2175, 267, 543, 18187, 1464, 16548, 269, 1284, 849, 2232, 5683, 21140, 5185, 676, 11051, 7722, 538, 4550, 3766, 2761, 3646, 267, 28409, 13657, 1996, 26516, 4539, 543, 5009, 16846, 2032, 607, 513, 22294, 540, 4264, 3356, 780, 9961, 713, 3460, 267, 649, 5000, 3742, 1565, 3842, 1895, 5751, 267, 2013, 2090, 267, 13502, 267, 9840, 267, 14245, 267, 543, 8086, 4574, 2966, 547, 15052, 1620, 543, 32260, 10763, 1983, 269, 11086, 267, 938, 3804, 568, 711, 1152, 547, 18836, 23610, 1702, 855, 849, 547, 11349 ]

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

[ 281, 513, 2689, 763, 1657, 5018, 2825, 543, 1072, 4145, 23608, 1813, 547, 7050, 5070, 5599, 543, 13250, 540, 4853, 3653, 7125, 585, 930, 15164, 3681, 585, 2825, 6940, 3849, 9016, 1161, 1031, 585, 1818, 519, 22285, 2179, 543, 1826, 540, 563, 14257, 476, 2764, 476, 1708, 271, 5070, 519, 9096, 1210, 513, 5386, 3766, 761, 5070, 17549, 5475, 519, 29194, 568, 1305, 5070, 519, 3003, 5057, 1586, 609, 513, 32067, 3766, 761, 5070, 17549, 971, 607, 476, 5197, 610, 476, 13136, 3766, 761, 5475, 713, 5070, 532, 3136, 547, 4019, 29194, 610, 5862, 607, 5551, 5070, 532, 1063, 1142, 3498, 609, 513, 5386, 3766, 761, 5070, 17549, 563, 13971, 476, 4905, 476, 1001, 276, 1336, 787, 5070, 849, 1634, 607, 16213, 5070, 5161, 5097, 540, 2973, 25144, 21092, 1164, 7779, 21958, 5070, 602, 568, 27433, 547, 1106, 28633, 585, 7542, 9317, 4401, 543, 5374, 543, 1875, 2536, 9317, 7601, 11956, 21567, 4496, 5641, 902, 763, 1034, 1455, 16213, 1184, 1031, 538, 519, 1336, 787, 2872, 568, 519, 5070, 5641, 1062, 563, 23895, 618, 5070, 543, 14919, 616, 2596, 2115, 585, 1022, 4070, 2872, 306, 663, 568, 513, 6305, 1570, 1031, 585, 7041, 540, 27341, 543, 6405, 543, 799, 4249, 513, 2101, 1909, 538, 3575, 1374, 563, 19770, 26459, 5070, 16213, 9755, 910, 2824, 476, 1708, 272, 1164, 2298, 26459, 5070, 16213, 2472, 538, 1655, 3902, 689, 14468, 24349, 16213, 9755, 5884, 16213, 14273, 17783, 531, 619, 543, 12051, 593, 1500, 2987, 7302, 2088, 563, 18850, 7875, 766, 547, 2067, 5070, 5599, 786, 2569, 2005, 666, 849, 1832, 607, 621, 568, 519, 9265, 9928, 2100, 540, 519, 1353, 713, 1382, 568, 3908, 547, 1472, 795, 574, 2742, 4884, 799, 568, 22236, 540, 2802, 11340, 807, 763, 1382, 4988, 8159, 519, 2360, 540, 2067, 5070, 10682, 609, 14475, 5070, 540, 524, 268, 1839, 6405, 3601, 563, 291, 2858, 1227, 32290, 5757, 2095, 2144, 3941, 5757, 3316, 802, 1743, 625, 909, 29815, 2456, 24506, 1216, 7515, 543, 28368, 19126, 543, 21996, 1892, 3096, 281, 4837, 1818, 28633, 585, 4496, 563, 15037, 476, 4962, 476, 1708, 271, 621, 568, 24045, 547, 519, 4264, 5070, 2359, 4808, 476, 1001, 277, 799, 6212, 593, 519, 2359, 540, 5070, 5599, 538, 519, 2197, 25889, 519, 15183, 543, 6886, 1646, 543, 7939, 957, 476, 4198, 278, 814, 23518, 1533, 6608, 547, 1118, 3652, 547, 2061, 10363, 5599, 6283, 543, 4859, 540, 6886, 563, 7628, 519, 1184, 10936, 930, 1216, 2791, 786, 1294, 602, 621, 779, 2614, 950, 707, 7848, 568, 2111, 547, 2226, 513, 1106, 1607, 3039, 5070, 4542, 568, 2324, 2005, 568, 2009, 547, 946, 713, 27724, 5070, 1586, 543, 1586, 563, 14197, 3268, 547, 5070, 16213, 5070, 16213, 568, 513, 1184, 602, 3096, 513, 9044, 1500, 689, 2901, 4496, 3574, 21958, 5070, 476, 273, 9044, 540, 1843, 476, 274, 300, 7742, 271, 6964, 593, 21958, 5070, 11067, 2030, 585, 22068, 3821, 5070, 5599, 1870, 814, 811, 982, 23060, 2094, 476, 1220, 280, 1317, 540, 519, 991, 585, 713, 1880, 563, 13202, 476, 2918, 476, 1001, 279, 21958, 5070, 568, 519, 1292, 7777, 1031, 607, 1336, 787, 5070, 543, 2808, 607, 835, 540, 519, 1271, 4853, 6886, 538, 4731, 904, 807, 1103, 4731, 904, 807, 21958, 5070, 568, 5833, 689, 5070, 5599, 2067, 5070, 543, 608, 2389, 514, 5599, 2766, 532, 5070, 22416, 904, 807, 814, 606, 6059, 4199, 540, 476, 25953, 544, 339, 540, 21958, 5070, 540, 799, 476, 16825, 544, 339, 616, 2067, 21958, 543, 476, 5392, 273, 544, 339, 2766, 532, 5070, 563, 9802, 476, 2918, 476, 1001, 276, 2360, 540, 22285, 532, 5070, 15449, 3809, 5423, 689, 519, 10659, 540, 2185, 17114, 540, 21432, 543, 5386, 9325, 2450, 23399, 543, 26311, 5210, 9867, 689, 476, 10384, 476, 16020, 543, 476, 8517, 476, 1015, 524, 941, 6594, 593, 519, 21052, 11188, 13920, 4222, 543, 2890, 560, 4450, 540, 5641, 26459, 16537, 976, 1031, 538, 17453, 20347, 4487, 12718, 563, 9802, 476, 2918, 476, 1001, 276, 519, 22285, 532, 5070, 729, 5423, 689, 519, 4999, 540, 1164, 21432, 5070, 476, 14093, 271, 476, 4968, 544, 547, 1970, 5386, 476, 4968, 476, 4037, 544, 5070, 9325, 7306, 547, 2285, 26815, 1164, 27978, 11947, 27978, 540, 22285, 532, 5070, 476, 3199, 2433, 476, 736, 21432, 1922, 710, 12753, 4847, 519, 9101, 540, 9362, 543, 2011, 18616, 602, 1131, 723, 1303, 571, 5529, 538, 519, 22285, 7551, 2810, 519, 563, 300, 13783, 5070, 568, 693, 519, 2295, 540, 519, 5070, 16213, 1184, 2005, 1590, 3180, 513, 3337, 1134, 543, 7001, 519, 5386, 3877, 540, 513, 16213, 2943, 581, 15449, 762, 2614, 547, 1450, 9362, 547, 9101, 15152, 519, 8833, 540, 2348, 519, 27724, 4806, 6569, 689, 621, 610, 1247, 621, 568, 4904, 621, 3112, 1835, 18443, 610, 16173, 593, 3294, 563, 22261, 476, 1240, 476, 1001, 280, 1085, 745, 25290, 5070, 568, 513, 2186, 540, 6151, 5070, 585, 16213, 763, 2067, 21958, 5070, 568, 28103, 5523, 18233, 9286, 543, 12015, 543, 519, 16095, 1543, 568, 1447, 982, 476, 271, 1103, 2067, 21247, 5070, 7626, 1813, 547, 29056, 18254, 513, 1804, 2179, 540, 10036, 543, 4401, 616, 6404, 972, 514, 543, 8764, 622, 519, 2627, 540, 519, 21247, 5070, 563, 3682, 12723, 547, 519, 5599, 8257, 540, 554, 776, 3570, 585, 909, 5552, 566, 540, 741, 1239, 543, 25488, 532, 540, 1007, 5599, 2127, 27609, 566, 540, 575, 529, 10471, 585, 2890, 1377, 4058, 476, 273, 20779, 2117, 622, 519, 1858, 540, 3656, 4068, 6549, 5599, 26368, 519, 5070, 1612, 4897, 602, 723, 1958, 549, 3737, 519, 5757, 8513, 2687, 547, 20017, 770, 1537, 4786, 563, 4910, 514, 27433, 5070, 27724, 1899, 5070, 3575, 518, 3684, 21595, 1067, 23217, 7727, 519, 1034, 2347, 543, 8465, 1899, 540, 1164, 3432, 6024, 5070, 3575, 619, 2139, 538, 519, 1158, 2690, 936, 476, 1789, 1296, 5493, 1067, 814, 3710, 1164, 2298, 14463, 5070, 3575, 619, 585, 519, 1336, 787, 2872, 4415, 713, 1995, 2501, 1082, 3681, 563, 306, 663, 1373, 24776, 689, 519, 5757, 737, 11232, 328, 5127, 6124, 1642, 6062, 281, 519, 3084, 3039, 5513, 26915, 814, 10294, 513, 5070, 2173, 1456, 2962, 4371, 676, 519, 1979, 9618, 2229, 538, 519, 1533, 779, 4871, 320, 8664, 538, 632, 4895, 476, 1001, 280, 607, 20704, 543, 513, 14275, 640, 6097, 547, 513, 1867, 538, 519, 554, 4428, 14006, 15242, 538, 606, 476, 8660, 22240, 1931, 519, 5513, 26915, 814, 4371, 602, 519, 6491, 880, 737, 20783, 21445, 2229, 779, 563, 763, 1101, 1900, 538, 5070, 7041, 568, 547, 25666, 519, 30012, 547, 2285, 3601, 7850, 547, 3132, 513, 16213, 1863, 689, 12889, 563, 306, 663, 5599, 1131, 2049, 593, 5111, 476, 20969, 540, 519, 476, 25172, 14143, 4962, 2929, 9748, 540, 1570, 1131, 581, 13939, 543, 9268, 609, 5111, 476, 4391, 2929, 9748, 540, 2344, 762, 14919, 3812, 585, 9042, 936, 513, 476, 1015, 4458, 1974, 563, 9515, 961, 22285, 532, 543, 4295, 5070, 1818, 3684, 642, 339, 554, 9515, 961, 22285, 532, 543, 4295, 5070, 1818, 3684, 642, 339, 476, 3451, 327, 9515, 961, 22285, 532, 543, 4295, 5070, 1818, 3684, 642, 339, 476, 3451, 327, 12354, 476, 4029, 476, 1001, 272, 333, 26138, 26289, 28590, 9917, 961, 22285, 532, 1184, 4367, 513, 1184, 602, 666, 581, 4628, 12747, 7387, 27724, 568, 519, 1034, 6385, 1031, 4480, 585, 9044, 543, 4295, 1818, 849, 1634, 513, 524, 1258, 532, 1184, 713, 563, 22068, 3821, 5070, 4393, 2030, 543, 3937, 6097, 547, 519, 2504, 1184, 519, 3937, 1031, 538, 21958, 5070, 4393, 3622, 3322, 2185, 2101, 2694, 281, 11493, 5070, 1818, 9584, 543, 5070, 11067, 24979, 5241, 568, 5258, 883, 835, 11493, 27724, 543, 1079, 11493, 9044, 902, 563, 3721, 476, 273, 281, 7041, 585, 5070, 16213, 763, 1101, 1900, 538, 1818, 513, 5070, 5641, 539, 1843, 568, 14045, 593, 519, 1843, 2690, 713, 1305, 540, 5528, 1775, 786, 581, 1210, 513, 544, 1872, 607, 1250, 1843, 5629, 596, 723, 4956, 593, 519, 1843, 596, 1616, 547, 1118, 596, 786, 991, 547, 4137, 856, 875, 596, 666, 5641, 1767, 1843, 543, 1869, 581, 2111, 547, 4894, 519, 5070, 9044, 689, 519, 1106, 563, 763, 7192, 338, 476, 23470, 279, 268, 1556, 1606, 281, 2003, 1464, 5070, 1449, 786, 581, 6026, 538, 713, 9074, 1103, 1840, 519, 7192, 338, 476, 18597, 272, 268, 876, 1606, 281, 678, 1342, 1782, 27724, 5070, 543, 7192, 338, 476, 276, 2420, 273, 268, 1724, 1606, 281, 7192, 338, 476, 273, 538, 11854, 322, 11948, 7041, 15155, 1067, 1505, 4255, 616, 851, 540, 519, 2003, 1464, 1449, 543, 3769, 538, 713, 9074, 563, 763, 2447, 2293, 2754, 814, 1044, 5599, 6886, 538, 519, 25878, 8087, 2829, 585, 811, 982, 476, 3583, 1296, 3246, 2565, 7777, 521, 1343, 547, 5561, 538, 5087, 13314, 563, 763, 4806, 568, 1031, 547, 3132, 519, 9044, 13570, 538, 9044, 5070, 300, 13783, 1570, 281, 519, 1570, 602, 568, 14095, 1472, 519, 4806, 838, 4902, 3092, 543, 547, 689, 519, 13570, 763, 25183, 5277, 4496, 4904, 538, 13570, 543, 3029, 519, 16213, 22068, 3821, 5070, 568, 519, 27724, 1570, 6140, 1031, 538, 1336, 1845, 290, 2100, 281, 519, 1283, 3368, 540, 1166, 2532, 27724, 4216, 568, 1634, 607, 11883, 563, 763, 5070, 5599, 2534, 786, 3490, 519, 5106, 693, 522, 8208, 565, 543, 9553, 5070, 632, 653, 677, 15259, 1080, 2059, 519, 1394, 872, 325, 2127, 593, 1312, 7532, 543, 7178, 5032, 540, 519, 1533, 763, 946, 540, 513, 536, 1618, 609, 513, 5070, 6802, 786, 581, 1031, 547, 2445, 543, 3560, 5070, 547, 522, 8208, 565, 2823, 547, 581, 18233, 543, 1500, 2139, 585, 9042, 563, 763, 5070, 1058, 4431, 547, 27724, 3157, 3891, 730, 5070, 799, 3587, 2182, 543, 4224, 3697, 568, 2352, 547, 4894, 689, 519, 16213, 543, 949, 2014, 519, 24931, 4496, 547, 15237, 610, 11523, 19423, 619, 8897, 540, 5070, 7041, 543, 1852, 563, 1607, 17200, 1984, 568, 1031, 585, 11493, 4224, 6070, 538, 11895, 5599, 763, 17200, 1984, 568, 7471, 538, 519, 593, 21935, 2504, 1899, 763, 17200, 1984, 568, 1500, 540, 16243, 5374, 547, 2057, 14809, 7078, 281, 27724, 5070, 7041, 1607, 17200, 1984, 568, 1031, 585, 11493, 27724, 5070, 1310, 519, 5070, 2275, 8463, 1184, 563, 15648, 9736, 476, 1708, 271, 674, 28232, 7557, 10320, 7577, 2353, 2924, 11603 ]

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

[ 723, 547, 711, 4196, 519, 2696, 945, 2813, 803, 286, 543, 547, 13924, 596, 786, 581, 28099, 14855, 3248, 268, 1548, 256, 786, 594, 3442, 547, 798, 538, 1840, 547, 3571, 10971, 267, 4171, 19001, 1058, 519, 1649, 5271, 565, 550, 16589, 16858, 547, 1102, 12787, 803, 609, 2800, 267, 789, 786, 711, 948, 803, 538, 1022, 1259, 543, 9444, 786, 789, 581, 2111, 547, 948, 803, 888, 268, 538, 713, 2013, 267, 594, 786, 1034, 2693, 581, 538, 5470, 912, 268, 25999, 594, 3494, 538, 2696, 4475, 267, 6432, 547, 1250, 5639, 563, 268, 634, 1650, 4422, 281, 22067, 883, 519, 4677, 269, 1261, 1767, 281, 898, 1131, 723, 1044, 1390, 723, 1634, 602, 1250, 1004, 6785, 454, 268, 3245, 799, 1250, 7083, 814, 8483, 1511, 803, 2073, 543, 814, 1500, 803, 851, 540, 519, 1034, 20380, 1004, 2336, 268, 543, 1284, 1705, 711, 13248, 1524, 593, 1010, 1004, 1310, 1010, 2669, 1022, 3984, 689, 13140, 267, 6862, 798, 649, 2479, 6494, 1022, 14747, 1524, 563, 268, 898, 729, 4986, 824, 982, 513, 2582, 3956, 543, 1287, 789, 941, 563, 268, 7937, 267, 519, 22063, 256, 1358, 798, 711, 723, 606, 8665, 267, 855, 789, 14902, 693, 519, 28034, 563, 268, 6496, 4896, 2731, 1589, 827, 875, 1082, 5481, 649, 723, 4503, 1354, 873, 267, 2094, 789, 616, 711, 2111, 547, 3442, 547, 1246, 519, 7083, 888, 268, 1656, 789, 782, 786, 581, 4843, 547, 721, 563, 268, 543, 519, 1129, 585, 741, 4666, 3047, 649, 13236, 1272, 883, 621, 543, 2285, 621, 519, 2666, 10286, 590, 304, 602, 789, 3548, 689, 519, 563, 268, 543, 1284, 1711, 972, 514, 10651, 540, 18812, 341, 1149, 543, 27374, 267, 543, 649, 1118, 20950, 581, 5950, 689, 621, 563, 268, 1924, 602, 789, 1223, 3548, 519, 4829, 540, 519, 3529, 855, 741, 3946, 4769, 1406, 1118, 621, 269, 4024, 789, 711, 19952, 581, 18507, 888, 268, 2353, 17192, 4422, 547, 519, 2290, 945, 2813, 8424, 540, 3388, 689, 1018, 519, 3618, 7472, 267, 540, 741, 1826, 543, 519, 1919, 789, 1810, 1406, 917, 563, 268, 634, 3090, 585, 873, 568, 4158, 3781, 269, 1284, 7485, 856, 998, 621, 519, 1769, 267, 543, 1287, 621, 568, 4158, 267, 543, 789, 2461, 538, 14334, 3248, 268, 543, 519, 3141, 4422, 593, 2394, 606, 3617, 2165, 543, 602, 568, 519, 1931, 602, 568, 519, 631, 26663, 543, 519, 11310, 563, 268, 543, 630, 553, 607, 264, 634, 7599, 269, 649, 723, 1305, 621, 909, 547, 979, 998, 11775, 2394, 621, 568, 1586, 899, 513, 4666, 13869, 7936, 563, 268, 3884, 1406, 4847, 547, 519, 3141, 602, 621, 1131, 1491, 936, 519, 7599, 267, 6862, 1223, 519, 3781, 20546, 519, 1554, 267, 543, 1287, 782, 616, 13735, 593, 1369, 606, 28608, 8608, 563, 268, 589, 16315, 789, 4309, 568, 649, 723, 741, 15556, 593, 519, 6928, 602, 568, 16041, 563, 268, 543, 1284, 4076, 2813, 585, 873, 606, 6697, 540, 621, 267, 799, 789, 666, 946, 547, 11878, 563, 268, 3973, 267, 1403, 1284, 3442, 649, 666, 546, 3497, 873, 267, 972, 786, 581, 1100, 5351, 585, 873, 267, 6862, 786, 789, 581, 10710, 563, 268, 8616, 630, 2421, 264, 11419, 689, 2974, 543, 585, 12257, 585, 513, 1247, 563, 268, 543, 950, 621, 779, 1767, 547, 873, 281, 5901, 707, 4064, 1930, 547, 1018, 779, 538, 4395, 540, 596, 267, 543, 3297, 596, 267, 538, 1931, 602, 23502, 1223, 581, 6035, 547, 707, 15773, 563, 268, 3973, 789, 1810, 1406, 4309, 606, 23318, 540, 519, 6835, 540, 741, 7083, 267, 855, 789, 2490, 2476, 689, 519, 5048, 563, 268, 543, 950, 621, 568, 7150, 547, 873, 892, 8967, 754, 519, 5763, 16589, 814, 3177, 596, 609, 634, 3283, 945, 8969, 2995, 1346, 945, 3494, 281, 9701, 721, 3049, 627, 727, 591, 568, 17237, 267, 1058, 16589, 786, 338, 267, 1261, 1131, 3049, 286, 1703, 568, 1100, 824, 1259, 547, 2995, 952, 596, 616, 538, 5693, 538, 12161, 563, 268, 3973, 789, 3409, 892, 2691, 1281, 713, 3463, 2965, 2049, 538, 519, 2680, 602, 596, 616, 9237, 888, 268, 1358, 798, 711, 7227, 585, 1279, 267, 1175, 513, 2582, 3458, 600, 602, 786, 30908, 873, 2476, 1256, 607, 789, 6370, 1142, 824, 563, 268, 4935, 267, 789, 786, 711, 581, 2111, 547, 1711, 513, 581, 26810, 267, 6862, 666, 581, 2111, 547, 2132, 741, 1609, 919, 741, 1609, 919, 547, 1920, 2818, 563, 268, 634, 25041, 564, 786, 581, 27762, 950, 2073, 3138, 256, 1358, 786, 4473, 689, 741, 30401, 543, 19060, 547, 741, 7083, 563, 268, 1358, 786, 581, 6031, 281, 654, 4141, 547, 721, 256, 5808, 814, 4547, 721, 909, 689, 938, 1793, 3784, 286, 2334, 779, 1018, 519, 5484, 1030, 545, 550, 16589, 1767, 267, 543, 519, 3190, 12310, 9672, 621, 563, 268, 1703, 786, 581, 1152, 835, 3956, 267, 543, 1287, 789, 786, 782, 581, 4547, 1354, 721, 3248, 268, 4475, 267, 713, 1554, 2073, 1100, 9997, 786, 581, 5701, 24407, 569, 610, 538, 1022, 1259, 543, 596, 786, 711, 581, 13752, 4376, 824, 982, 602, 596, 4076, 2944, 563, 268, 519, 11317, 540, 519, 4677, 786, 593, 602, 1554, 581, 4625, 1543, 563, 268, 607, 1134, 607, 741, 24726, 616, 538, 18707, 267, 14084, 593, 4172, 2583, 602, 616, 6659, 563, 268, 786, 581, 2111, 547, 7556, 741, 5613, 543, 789, 786, 581, 2111, 547, 581, 2111, 547, 2972, 8726, 789, 1616, 563, 268, 13458, 589, 2262, 689, 513, 2696, 540, 8585, 1097, 563, 268, 543, 1491, 513, 2736, 2221, 267, 744, 519, 16944, 835, 2336, 268, 9894, 333, 1406, 594, 2995, 596, 267, 522, 519, 1453, 540, 14088, 256, 547, 711, 581, 7674, 519, 1744, 7159, 534, 286, 1411, 1590, 581, 3222, 602, 646, 568, 707, 1034, 1463, 10546, 2676, 268, 543, 602, 596, 1590, 4196, 2725, 901, 568, 519, 1697, 1505, 563, 268, 1656, 15983, 646, 3576, 1082, 17608, 1004, 1369, 596, 269, 1548, 256, 666, 596, 7654, 711, 1174, 888, 268, 901, 6257, 875, 519, 3463, 729, 1500, 547, 596, 563, 268, 1411, 1590, 4283, 538, 621, 2221, 1317, 596, 941, 26617, 563, 268, 715, 3019, 519, 1554, 649, 1305, 519, 13021, 593, 741, 28182, 269, 4256, 3946, 786, 3717, 547, 721, 543, 741, 3952, 786, 581, 513, 7198, 547, 519, 2179, 789, 723, 6913, 563, 268, 543, 1403, 649, 941, 4280, 267, 1284, 786, 6157, 1930, 741, 4064, 269, 1358, 786, 581, 1085, 584, 11538, 1472, 3168, 585, 513, 1259, 547, 1294, 267, 855, 875, 1131, 789, 1413, 888, 268, 543, 1403, 1284, 6999, 267, 1284, 786, 9090, 2981, 873, 538, 741, 1747, 267, 789, 786, 711, 581, 2111, 547, 3136, 543, 9444, 786, 789, 581, 2111, 547, 581, 2111, 547, 2132, 563, 268, 4746, 267, 945, 1197, 649, 2014, 547, 2661, 513, 1279, 942, 267, 1284, 2759, 1864, 1524, 630, 29538, 264, 547, 513, 632, 680, 22789, 1533, 540, 11156, 269, 2052, 789, 711, 1174, 888, 268, 543, 649, 10093, 1406, 6026, 1864, 6965, 543, 621, 568, 711, 5078, 585, 1864, 269, 898, 779, 1152, 513, 12576, 267, 543, 606, 9296, 6088, 20845, 2676, 268, 898, 568, 5156, 602, 621, 1223, 24633, 2576, 945, 814, 1272, 602, 630, 7474, 264, 519, 1913, 1223, 581, 9863, 3020, 585, 1346, 945, 616, 711, 21071, 563, 268, 2052, 789, 8275, 519, 1249, 602, 1284, 723, 1500, 12418, 585, 873, 267, 1759, 593, 519, 960, 540, 3776, 3946, 799, 568, 1946, 789, 666, 581, 741, 1378, 18544, 888, 268, 543, 1284, 4076, 7142, 873, 547, 873, 267, 799, 1797, 602, 789, 616, 930, 547, 11878, 593, 267, 1247, 930, 540, 873, 616, 13881, 563, 268, 543, 972, 616, 5383, 543, 16098, 282, 4465, 1406, 789, 581, 9684, 995, 888, 268, 543, 789, 4076, 26902, 5792, 10971, 538, 1840, 547, 16589, 538, 1931, 547, 581, 19443, 563, 268, 630, 3719, 264, 519, 630, 4037, 264, 786, 711, 581, 2111, 547, 5351, 873, 267, 543, 789, 786, 581, 513, 3984, 945, 568, 4547, 909, 538, 4395, 540, 519, 3984, 563, 268, 1924, 798, 711, 1577, 741, 4633, 8886, 622, 596, 269, 1284, 15983, 917, 519, 1919, 789, 798, 3297, 6806, 9885, 543, 849, 1018, 789, 798, 15597, 563, 268, 1684, 596, 711, 5431, 602, 2696, 814, 2813, 1864, 689, 513, 6263, 6079, 286, 3973, 2073, 19315, 256, 972, 568, 513, 1930, 16311, 656, 563, 268, 1656, 646, 14405, 856, 513, 16726, 547, 2974, 543, 19380, 8289, 540, 519, 1360, 3364, 646, 2813, 269, 1261, 12134, 281, 5808, 786, 3142, 1272, 547, 7633, 2899, 789, 2461, 538, 9178, 888, 268, 28423, 892, 3891, 3580, 2285, 873, 1272, 269, 1261, 568, 519, 835, 945, 2813, 873, 7620, 543, 1261, 568, 519, 17082, 540, 519, 2898, 5137, 454, 268, 634, 2290, 5808, 2813, 585, 596, 519, 18723, 630, 1729, 5337, 924, 264, 689, 519, 3529, 540, 3039, 547, 948, 596, 666, 5337, 924, 630, 13933, 1916, 268, 27355, 1406, 1261, 5808, 1500, 519, 30723, 543, 519, 3618, 538, 513, 2990, 547, 1118, 513, 2147, 7122, 607, 873, 286, 14717, 320, 256, 543, 1261, 568, 519, 17082, 630, 1993, 782, 264, 634, 5700, 518, 563, 268, 634, 7083, 779, 1463, 633, 267, 950, 1261, 568, 4058, 1945, 267, 568, 547, 2995, 621, 892, 6826, 607, 602, 621, 786, 581, 563, 268, 4935, 782, 18710, 547, 4906, 267, 1733, 846, 1688, 12081, 338, 519, 8003, 540, 3388, 543, 547, 13924, 596, 3580, 581, 8120, 0, 30108, 538, 932, 1618, 281, 6004, 589, 269, 16962, 27775, 2105, 13405, 4804, 454, 17413, 476, 1015, 7913, 16370, 568, 5227, 454, 6701, 596, 5461, 538, 2324, 538, 5026, 286, 4915, 286, 2575, 286, 6683, 286, 1876, 286, 2069, 286, 3143, 2339, 707, 4876, 13374, 596, 616, 2469, 547, 723, 547, 4194, 2042, 1210, 5904, 267, 543, 602, 781, 1018, 713, 1576, 568, 782, 827, 910, 3384, 1983, 538, 1210, 3059, 3457, 547, 4194, 1483, 1158, 2042, 269, 901, 1641, 3884, 1405, 1175, 585, 575, 2465, 802, 945, 1616, 547, 1694, 538, 4395, 540, 513, 2780, 782, 1554, 910, 952, 596, 1616, 547, 581, 2111, 547, 960, 609, 1866, 543, 948, 1004, 676, 1210, 2780, 2029, 713, 1576, 568, 585, 596, 2336, 2467, 616, 1614, 1292, 2127, 4988, 912, 6440, 3059, 1344, 630, 2224, 540, 2645, 971, 607, 12240, 547, 4383, 1344, 994, 6440, 5752, 543, 2780, 2257, 630, 24483, 875, 3059, 3457, 960, 543, 875, 547, 1852, 873, 994, 6440, 3059, 2923, 630, 322, 11661, 513, 3896, 1519, 930, 3312, 1543, 994, 25413, 2264, 3763, 518, 267, 18753, 5071, 518, 267, 6176, 5303, 6435, 9188, 330, 270, 28874, 3353, 6509, 267, 6176, 5303, 15440, 267, 14502, 27752, 267, 7010, 8556, 15249, 267, 6176, 5303, 11629, 267, 10794, 3763, 518, 267, 14871, 15232, 5071, 518, 267, 4530, 8890, 560, 267, 8416, 8556, 15249, 267, 8232, 8890, 560, 267, 6755, 564, 1674, 570, 6856, 267, 8232, 13693, 656, 267, 2480, 5300, 9457 ]

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

[ 4288, 630, 1220, 277, 264, 19430, 606, 7525, 3210, 689, 1325, 3563, 17755, 337, 987, 630, 1220, 278, 1070, 3589, 2406, 13886, 634, 29861, 9469, 5548, 4288, 269, 634, 1279, 8573, 7342, 4737, 936, 519, 3450, 540, 16817, 1143, 538, 1977, 3506, 568, 5693, 6045, 689, 1312, 2798, 540, 2070, 676, 7812, 22337, 323, 538, 11289, 2696, 585, 12472, 630, 1220, 279, 1040, 32515, 595, 1195, 928, 779, 6587, 2070, 568, 9788, 856, 538, 1010, 476, 1001, 276, 1433, 18321, 12411, 639, 5517, 269, 1656, 972, 616, 1082, 811, 269, 11977, 674, 525, 518, 568, 22035, 1639, 676, 968, 1492, 6727, 4473, 540, 26723, 550, 520, 1190, 796, 10964, 3971, 607, 519, 632, 6551, 826, 584, 2990, 540, 519, 5100, 1305, 2560, 19473, 626, 669, 545, 568, 1631, 267, 856, 540, 519, 4544, 607, 621, 941, 267, 519, 8631, 540, 1655, 8688, 619, 267, 28910, 23596, 906, 267, 543, 28180, 2542, 2516, 3034, 2005, 568, 3020, 602, 16496, 8226, 2306, 621, 2352, 547, 1224, 827, 267, 610, 1256, 547, 1174, 267, 2093, 602, 798, 711, 3514, 883, 835, 779, 4540, 2790, 25190, 517, 32440, 269, 589, 1268, 779, 4295, 4978, 267, 741, 3964, 2070, 540, 519, 1158, 543, 519, 3119, 1489, 540, 741, 2123, 3961, 267, 1590, 581, 29846, 1996, 1169, 4161, 269, 1924, 621, 3217, 513, 22992, 1930, 2247, 547, 2039, 2066, 971, 513, 3376, 8552, 540, 12496, 540, 519, 835, 1158, 602, 649, 782, 2671, 269, 769, 2490, 267, 538, 519, 2085, 540, 519, 4950, 621, 568, 1100, 3476, 6190, 547, 12404, 14882, 3297, 2901, 771, 15574, 630, 23437, 9200, 2299, 5497, 547, 3765, 548, 611, 264, 610, 25749, 630, 6518, 1223, 581, 22992, 19451, 1916, 7343, 569, 519, 16390, 540, 20603, 547, 5637, 4982, 958, 454, 763, 2916, 540, 8994, 27421, 6383, 676, 519, 13137, 2203, 1223, 581, 7006, 8215, 811, 11593, 952, 519, 856, 4944, 7505, 15156, 540, 4655, 1223, 581, 7479, 12184, 547, 6432, 547, 18164, 1004, 593, 1312, 5011, 267, 543, 1118, 741, 6114, 10257, 269, 1280, 1383, 267, 621, 1223, 581, 11130, 602, 29861, 9469, 685, 1193, 1211, 959, 4770, 540, 782, 3909, 3661, 814, 9141, 606, 13778, 1377, 540, 6547, 267, 1312, 689, 519, 7787, 9718, 619, 540, 13416, 5132, 338, 267, 543, 689, 519, 856, 571, 3022, 2818, 540, 519, 811, 15672, 2516, 945, 616, 519, 3119, 9072, 540, 1010, 6285, 269, 17957, 267, 519, 4550, 10784, 21526, 9186, 540, 4909, 626, 2516, 4667, 547, 723, 10480, 2047, 883, 1447, 982, 10257, 2442, 4187, 5322, 1996, 8810, 1857, 1072, 3800, 971, 607, 12674, 543, 14806, 9179, 269, 5637, 5011, 1223, 4324, 676, 9878, 811, 3007, 547, 11184, 8834, 2405, 1177, 541, 779, 9963, 602, 968, 1492, 8515, 540, 519, 24235, 602, 513, 8367, 568, 3020, 814, 1100, 12946, 593, 2436, 621, 568, 3020, 610, 7301, 269, 634, 2956, 540, 519, 4222, 540, 938, 24235, 568, 1152, 547, 1683, 513, 8167, 2299, 2178, 24539, 547, 1265, 856, 952, 519, 8367, 786, 1796, 909, 547, 2565, 6268, 3034, 26807, 569, 267, 972, 616, 3344, 540, 3909, 3661, 19017, 936, 5553, 799, 991, 547, 581, 929, 25293, 1055, 267, 855, 1004, 616, 2907, 3257, 602, 1765, 11034, 532, 609, 2441, 5128, 538, 1010, 2591, 547, 13243, 11454, 8128, 267, 711, 547, 2446, 9410, 13162, 779, 1686, 19145, 6285, 593, 13313, 538, 519, 4936, 7826, 5939, 540, 1010, 942, 269, 634, 4434, 540, 13400, 14172, 936, 519, 2063, 476, 1220, 1296, 568, 11173, 519, 1184, 267, 4352, 621, 568, 811, 7298, 538, 12621, 540, 18381, 982, 1851, 1034, 7249, 2958, 725, 269, 2552, 337, 926, 3772, 267, 972, 616, 3344, 540, 4207, 3621, 2528, 602, 4628, 17330, 9880, 267, 2523, 519, 5821, 547, 4001, 1053, 1022, 540, 519, 2596, 6138, 540, 1702, 602, 1223, 2149, 873, 689, 17259, 547, 7301, 8753, 269, 1280, 1383, 267, 519, 7839, 19473, 626, 25195, 602, 4168, 5132, 568, 19450, 4422, 1394, 547, 606, 31602, 4661, 10169, 2059, 519, 1739, 3515, 281, 2067, 2257, 666, 1265, 1100, 7787, 2963, 585, 519, 7872, 540, 1272, 1310, 2669, 282, 10271, 3494, 538, 519, 24446, 540, 519, 4666, 543, 538, 1082, 824, 16750, 28986, 282, 4061, 267, 4168, 3661, 568, 19450, 563, 2005, 568, 3020, 602, 972, 568, 1100, 3621, 2963, 585, 1272, 1310, 2669, 267, 543, 849, 602, 519, 15151, 2192, 16479, 3661, 538, 16750, 2621, 568, 7839, 1851, 10271, 267, 855, 1346, 22402, 3112, 1291, 547, 513, 2489, 3932, 602, 4168, 5132, 568, 20244, 19450, 269, 8567, 849, 2882, 1082, 824, 7357, 7787, 4978, 602, 2087, 519, 1158, 649, 2661, 538, 267, 971, 607, 8296, 585, 1866, 267, 799, 568, 519, 8978, 4493, 540, 10120, 10506, 267, 24431, 18561, 9086, 267, 543, 1082, 4207, 16712, 14540, 899, 519, 4414, 9061, 543, 853, 3627, 2549, 12712, 766, 269, 1879, 1004, 689, 6587, 10080, 3858, 593, 875, 547, 1865, 741, 3604, 609, 16614, 3007, 547, 519, 3652, 540, 23221, 267, 519, 7301, 2489, 31907, 602, 3049, 519, 4655, 666, 581, 771, 28534, 563, 28403, 1047, 519, 18467, 538, 6904, 3962, 20126, 543, 2052, 28389, 519, 4033, 454, 3080, 540, 519, 1034, 15197, 3744, 540, 782, 942, 267, 15751, 18160, 267, 1185, 1100, 2123, 3909, 3661, 1765, 520, 2547, 267, 607, 606, 2937, 28559, 646, 1185, 513, 2312, 9787, 540, 1946, 2257, 543, 5132, 991, 1142, 824, 269, 3571, 1034, 4583, 10839, 593, 519, 1641, 568, 1655, 6956, 538, 922, 2407, 2796, 912, 16631, 666, 1152, 581, 2813, 676, 1346, 945, 616, 8499, 28093, 4240, 609, 519, 8321, 566, 4724, 5168, 543, 1620, 269, 901, 2707, 540, 4743, 267, 2705, 267, 20950, 689, 519, 12106, 540, 4984, 269, 1677, 713, 972, 849, 12851, 519, 5132, 538, 519, 7872, 602, 519, 6042, 4570, 585, 519, 1158, 540, 6228, 616, 7787, 267, 602, 568, 267, 2649, 1043, 547, 2601, 269, 594, 3112, 32230, 540, 513, 9758, 10196, 1510, 602, 7096, 5132, 269, 634, 3510, 949, 581, 6829, 676, 606, 3239, 281, 2257, 1510, 4984, 568, 561, 877, 267, 4984, 1510, 2257, 568, 9420, 563, 305, 1049, 1235, 991, 5132, 538, 2601, 267, 855, 519, 3978, 21705, 849, 991, 2601, 547, 1118, 2631, 540, 741, 1378, 2757, 5931, 543, 31710, 269, 898, 568, 7357, 2009, 547, 1174, 519, 1650, 540, 14088, 543, 18832, 538, 519, 12567, 540, 3798, 523, 538, 2474, 540, 519, 4720, 540, 519, 1480, 2634, 267, 585, 1383, 267, 1510, 7947, 532, 922, 3504, 7664, 540, 1480, 2470, 607, 25340, 3020, 269, 6270, 606, 4244, 7778, 10503, 938, 27811, 5837, 7526, 607, 2067, 267, 2864, 982, 513, 27290, 5837, 17528, 267, 3091, 606, 9101, 689, 5553, 540, 16203, 543, 16236, 13684, 676, 519, 3909, 2856, 540, 3312, 5609, 269, 634, 3909, 5048, 1281, 711, 723, 547, 581, 10032, 267, 4352, 950, 1224, 21603, 569, 621, 568, 1360, 4749, 31495, 2181, 1540, 269, 5015, 267, 538, 4789, 267, 930, 540, 519, 1034, 1271, 3909, 2093, 593, 1514, 7862, 267, 24756, 267, 2146, 1416, 267, 543, 519, 2126, 540, 20737, 941, 27314, 569, 9097, 585, 741, 942, 267, 543, 16712, 8128, 723, 1044, 20414, 909, 2479, 2094, 563, 763, 1279, 556, 1173, 340, 731, 2962, 676, 519, 13524, 10601, 5939, 1996, 519, 3069, 540, 4720, 543, 782, 922, 6286, 568, 4330, 676, 6307, 11068, 326, 2917, 607, 513, 454, 321, 27741, 28365, 32623, 1674, 2560, 519, 5939, 25356, 267, 25302, 267, 543, 15739, 323, 1243, 3294, 538, 1931, 547, 8396, 513, 3833, 16494, 8594, 269, 4107, 10271, 2221, 11593, 3398, 602, 519, 3618, 1281, 711, 723, 547, 581, 538, 519, 8998, 540, 519, 7122, 267, 543, 602, 2696, 267, 952, 646, 1223, 1711, 1272, 693, 782, 267, 1223, 798, 621, 1175, 607, 1134, 998, 4720, 607, 676, 8216, 535, 9332, 563, 3719, 267, 1036, 21884, 2406, 267, 602, 1281, 711, 1611, 519, 1439, 540, 519, 2112, 269, 16241, 21847, 1631, 3077, 267, 609, 3160, 7542, 6290, 267, 519, 1007, 2152, 3768, 516, 3139, 540, 676, 938, 11937, 267, 538, 519, 4610, 540, 11976, 267, 7803, 5539, 267, 1318, 9405, 6214, 267, 543, 10349, 14920, 269, 1284, 991, 547, 1174, 811, 827, 875, 547, 1219, 2224, 971, 1459, 543, 2104, 13882, 609, 1620, 543, 8296, 267, 4358, 609, 13373, 5109, 519, 14165, 540, 2112, 563, 3080, 540, 519, 3844, 2042, 540, 3450, 267, 538, 1312, 2257, 543, 4984, 267, 568, 7713, 1007, 1702, 538, 4207, 2474, 269, 9147, 18408, 1869, 9833, 607, 4570, 538, 782, 2053, 543, 4025, 3112, 581, 5293, 1524, 689, 835, 5108, 547, 519, 1985, 538, 741, 3312, 1106, 267, 607, 952, 1480, 7239, 5030, 538, 513, 2686, 12511, 269, 10787, 689, 621, 269, 2353, 3029, 540, 1702, 723, 547, 581, 6829, 538, 2474, 540, 15520, 3989, 23199, 543, 3631, 602, 3717, 547, 741, 1459, 9458, 267, 607, 14648, 998, 2123, 1995, 269, 27639, 4268, 865, 4922, 602, 2592, 19775, 538, 835, 2486, 3533, 2887, 6366, 538, 513, 1114, 835, 563, 2467, 568, 513, 3395, 1297, 540, 9758, 3744, 609, 30664, 764, 762, 20340, 8348, 547, 3895, 513, 811, 3540, 2213, 6643, 269, 1280, 1383, 267, 3056, 1591, 29489, 26366, 996, 16019, 13187, 7479, 553, 1947, 602, 2257, 3112, 3651, 2495, 610, 3483, 267, 855, 602, 3085, 1406, 1611, 519, 1158, 568, 27507, 540, 873, 269, 968, 12148, 1702, 2501, 1152, 689, 513, 4999, 540, 5132, 543, 2601, 1848, 769, 2490, 267, 7811, 21997, 11184, 3627, 2717, 6362, 1817, 928, 5206, 912, 2171, 991, 1312, 2257, 543, 4984, 267, 543, 2560, 789, 723, 1082, 1271, 1919, 547, 2161, 547, 1142, 824, 2560, 594, 6557, 9141, 676, 519, 991, 547, 1491, 1312, 2257, 543, 4984, 12517, 267, 543, 993, 2386, 602, 789, 616, 2828, 267, 711, 535, 3996, 267, 538, 519, 1455, 1391, 585, 1702, 2560, 1496, 2005, 568, 711, 3020, 602, 316, 3909, 3661, 568, 856, 7116, 539, 267, 610, 1524, 2431, 7543, 538, 513, 3621, 2085, 2560, 952, 1004, 2560, 6785, 513, 3787, 811, 827, 2257, 982, 1082, 540, 873, 2965, 798, 267, 789, 8910, 1265, 621, 4443, 547, 2671, 1250, 2070, 2560, 2257, 543, 5132, 616, 7214, 30980, 896, 519, 2960, 269, 5637, 3490, 8753, 593, 606, 16799, 540, 7664, 543, 1995, 282, 1312, 616, 2141, 1930, 547, 14842, 267, 1312, 3801, 547, 1174, 563, 13010, 267, 14731, 19811, 267, 6205, 540, 519, 5274, 32081, 1788, 267, 11329, 856, 602, 968, 14396, 568, 519, 1152, 1259, 547, 2626, 2055, 827, 519, 1570, 7122, 267, 855, 568, 1379, 1652, 547, 2626, 2055, 827, 2495, 269, 1284, 991, 1312, 267, 547, 1174, 1312, 519, 2938, 543, 519, 31305, 1848, 1306, 15887, 6798, 13744, 25070, 590, 2931, 2322, 621, 267, 968, 16631, 3217, 1919, 6306, 547, 1294, 875, 789, 960, 282, 4984, 12662, 1919, 1927, 547, 1294, 1018, 789, 1611, 1848, 769, 11744, 519, 16799, 1063, 4351, 15817, 543, 1875, 12690, 5542, 267, 602, 568, 267, 1063, 4960, 543, 1876, 267, 12105, 3069, 568, 267, 538, 14880, 3212, 659, 665, 651, 779, 22192, 8360, 267, 968, 1492, 1108, 779, 3659, 538, 24320, 1047, 3034, 29012, 267, 3909, 3450, 666, 3565, 547, 938, 3838, 1702, 950, 922, 4030, 616, 20240, 676, 2601, 269, 1280, 1383, 267, 19807, 540, 2250, 4636, 338, 666, 1291, 547, 519, 22196, 540, 13253, 267, 543, 5555, 547, 9316, 267, 607, 9672, 19654, 676, 3014, 3069, 543, 1514, 6530, 269, 5808, 666, 7340, 519, 11121, 7067, 267, 14064, 1881, 12946, 540, 519, 812, 945, 4503, 1010, 7385, 538, 519, 4323, 593, 1079, 9923, 13196, 538, 2441, 577, 3420, 267, 7555, 538, 5480, 543, 5356, 19807, 547, 519, 22681, 888, 14582, 773, 1324, 1004, 723, 3622, 1044, 3500, 547, 29311, 519, 6286, 540, 16817, 1014, 7350, 585, 741, 23381, 269, 898, 568, 711, 602, 9097, 5368, 614, 13133, 725, 540, 2025, 10054, 616, 7543, 1369, 513, 15061, 3909, 13539, 282, 1396, 17790, 15024, 543, 22158, 723, 1500, 27789, 2242, 936, 519, 2063, 1906, 1296, 267, 585, 1585, 4128, 267, 711, 782, 17033, 3909, 269, 634, 1292, 8373, 568, 602, 1034, 21071, 798, 711, 917, 2614, 827, 16817, 1014, 7350, 547, 581, 2111, 547, 1294, 922, 6286, 585, 741, 5132, 269, 22353, 267, 1082, 4043, 547, 4250, 621, 607, 513, 15180, 7778, 585, 519, 9814, 540, 1272, 269, 1306, 11068, 326, 2917, 12662, 621, 281, 968, 10144, 779, 7411, 827, 7487, 2933, 607, 2818, 540, 519, 835, 5137, 814, 2097, 689, 513, 19020, 267, 7522, 267, 3810, 7493, 10206, 540, 1018, 519, 824, 2818, 941, 899, 3034, 4002, 519, 14669, 267, 952, 519, 1079, 5380, 666, 581, 2938, 607, 4891, 547, 581 ]

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

[ 649, 1020, 2463, 543, 25621, 585, 519, 6043, 543, 8990, 2838, 547, 8853, 5103, 14488, 780, 11101, 267, 18167, 883, 891, 1483, 3734, 8941, 21040, 938, 20030, 3564, 11475, 543, 2489, 3074, 269, 7665, 710, 15173, 3751, 8725, 781, 834, 763, 19716, 2782, 1874, 2437, 4352, 11786, 1851, 930, 4457, 11082, 1813, 547, 3140, 6111, 4145, 267, 3788, 9565, 1317, 621, 9397, 1524, 7496, 1063, 8109, 543, 5375, 10600, 269, 4173, 1433, 20502, 875, 3332, 666, 4161, 10054, 543, 28596, 15826, 5717, 827, 2528, 543, 3961, 780, 15563, 267, 4974, 29946, 2488, 3631, 540, 16177, 543, 1582, 22523, 269, 645, 747, 3687, 327, 715, 7666, 344, 523, 781, 834, 17556, 2718, 17700, 781, 20550, 1676, 257, 6257, 3395, 909, 19176, 1977, 9624, 519, 20457, 540, 12309, 1016, 7875, 807, 269, 2701, 12066, 956, 609, 4606, 540, 12761, 543, 1279, 532, 267, 5555, 4466, 24176, 538, 1426, 543, 3332, 910, 3584, 1082, 10708, 666, 9305, 547, 7488, 540, 2686, 4282, 780, 6962, 1384, 18698, 7489, 1977, 29946, 3091, 16854, 3255, 585, 2208, 543, 6602, 269, 5664, 1153, 1053, 1796, 547, 4324, 7494, 689, 6313, 891, 5931, 2094, 789, 6536, 1930, 16490, 1145, 267, 3444, 14426, 2792, 1983, 267, 543, 2565, 3206, 5759, 269, 1924, 10544, 835, 2221, 267, 7017, 883, 513, 6899, 5544, 267, 543, 7832, 593, 606, 20605, 5339, 7045, 4904, 609, 6667, 267, 10100, 267, 543, 4126, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 10472, 729, 1500, 676, 1250, 22419, 262, 27545, 1362, 538, 476, 1001, 275, 563, 8702, 256, 3371, 616, 519, 17241, 17796, 596, 782, 4857, 538, 1362, 1282, 11354, 476, 1001, 275, 269, 25103, 1522, 2736, 1862, 604, 865, 5225, 6494, 803, 513, 4063, 630, 321, 1601, 718, 518, 329, 693, 4413, 14873, 12297, 1196, 340, 264, 543, 594, 3513, 4368, 873, 610, 4894, 873, 269, 1403, 596, 723, 10372, 2663, 593, 267, 1577, 803, 917, 543, 594, 3513, 1039, 873, 563, 7069, 3122, 625, 16631, 11470, 543, 26135, 312, 288, 1656, 18753, 26358, 310, 525, 3179, 543, 8466, 11470, 15239, 12279, 267, 13648, 9248, 267, 543, 4437, 13132, 454, 22146, 267, 6184, 2869, 1049, 267, 543, 22918, 548, 3367, 338, 295, 528, 2928, 305, 558, 766, 543, 19529, 22175, 11372, 12734, 543, 4139, 3367, 338, 16032, 8688, 619, 454, 7069, 3122, 625, 20670, 3883, 17352, 281, 18421, 25491, 267, 12246, 335, 1619, 267, 1299, 28202, 14525, 281, 1879, 594, 3576, 513, 1362, 538, 15832, 5708, 2063, 1032, 594, 1031, 21434, 8648, 547, 1265, 8039, 540, 2835, 593, 938, 2542, 1592, 855, 594, 2760, 6170, 513, 2603, 540, 942, 19855, 519, 3135, 269, 594, 729, 3833, 9599, 547, 3605, 602, 789, 723, 606, 3003, 5816, 6131, 547, 13655, 267, 24457, 9089, 267, 543, 26497, 619, 269, 21434, 2053, 1281, 2731, 9735, 267, 1134, 2854, 267, 13801, 8039, 269, 1358, 849, 798, 1360, 1775, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 2026, 1014, 1977, 6490, 7546, 338, 257, 607, 851, 540, 834, 10292, 24209, 1299, 27483, 302, 10292, 24209, 1315, 8836, 1299, 13636, 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 ]

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

[ 290, 269, 8081, 11094, 27557, 692, 14106, 1746, 3084, 11614, 7028, 5571, 5726, 7341, 14102, 13148, 676, 3593, 12375, 269, 16952, 2081, 547, 3565, 1331, 11449, 5993, 10596, 267, 1810, 908, 547, 18758, 3906, 6131, 547, 8497, 6288, 4133, 267, 24749, 942, 543, 1983, 267, 543, 14957, 585, 4797, 5092, 538, 6870, 2127, 693, 5313, 543, 1533, 2157, 780, 6962, 1384, 32382, 3084, 6288, 30063, 1949, 3340, 9639, 267, 22509, 697, 267, 543, 13916, 269, 1635, 6236, 2188, 899, 12557, 267, 10333, 267, 543, 6578, 267, 17053, 8436, 666, 2308, 2500, 2994, 585, 17516, 524, 913, 1540, 22581, 269, 5047, 267, 3743, 2853, 2327, 9434, 18399, 540, 10475, 2067, 2200, 585, 5481, 547, 2097, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2252, 596, 4076, 2760, 1044, 547, 513, 2817, 5244, 1354, 267, 4058, 707, 1101, 7552, 666, 581, 25254, 2336, 9199, 767, 532, 547, 2817, 20088, 3884, 1406, 1945, 602, 1250, 9393, 610, 594, 1705, 3395, 909, 543, 649, 4769, 1406, 1376, 19482, 1299, 22742, 2394, 938, 3735, 476, 736, 338, 269, 4595, 938, 1101, 7552, 547, 513, 2817, 5244, 267, 938, 2648, 585, 2470, 814, 1152, 6738, 543, 621, 1500, 721, 8275, 602, 621, 779, 2760, 1932, 3735, 547, 1376, 11981, 519, 1390, 13964, 563, 1103, 513, 5698, 609, 1505, 543, 519, 17823, 1399, 9539, 710, 20088, 11036, 267, 594, 4076, 17031, 909, 476, 1428, 19444, 4388, 602, 666, 948, 596, 1376, 4058, 707, 1101, 7552, 547, 513, 2817, 5244, 2336, 5278, 540, 519, 6402, 1031, 538, 713, 5816, 949, 581, 24988, 6402, 269, 2311, 1100, 3063, 1942, 547, 596, 267, 594, 7118, 513, 1507, 10243, 950, 596, 1433, 998, 891, 6402, 585, 799, 594, 993, 1360, 9684, 995, 2336, 272, 269, 7994, 513, 5244, 19171, 1677, 2659, 5851, 454, 5522, 8911, 513, 7552, 547, 513, 2817, 5244, 585, 519, 1101, 942, 666, 1745, 11566, 267, 2523, 952, 596, 10093, 1406, 6170, 513, 2898, 2603, 540, 942, 13964, 269, 12020, 513, 7552, 856, 540, 1533, 666, 1039, 3063, 2566, 2094, 596, 786, 991, 547, 2015, 1166, 662, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 13233, 5244, 1763, 969, 725, 257, 607, 851, 540, 834, 307, 30728, 1315, 20088, 1299, 8805, 3033, 338, 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 ]

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

[ 1034, 16018, 538, 519, 10034, 1222, 607, 513, 2898, 269, 634, 10457, 602, 10443, 585, 5646, 322, 650, 528, 267, 855, 4769, 1405, 1205, 883, 14643, 941, 24898, 4498, 1633, 267, 14639, 4149, 10235, 5696, 24480, 267, 24839, 5696, 592, 582, 974, 267, 543, 6742, 515, 700, 788, 710, 563, 763, 9241, 11221, 25650, 729, 7318, 950, 2101, 3109, 719, 630, 8619, 4310, 676, 513, 16171, 4764, 7088, 799, 729, 851, 540, 519, 7216, 15604, 476, 1220, 277, 3345, 1977, 23566, 13216, 264, 4299, 519, 4884, 689, 5412, 476, 272, 1700, 273, 267, 476, 1220, 277, 267, 799, 2451, 12303, 519, 3003, 4884, 1510, 5201, 269, 10830, 10294, 513, 1533, 540, 6595, 267, 799, 16768, 585, 1896, 2395, 563, 1103, 519, 476, 1001, 271, 9550, 8230, 10830, 729, 17204, 3280, 569, 267, 9991, 547, 3791, 1747, 269, 634, 9550, 729, 4465, 676, 14639, 6261, 4954, 853, 269, 24839, 945, 2968, 519, 10034, 1222, 781, 1007, 25650, 267, 2705, 2506, 1962, 684, 17037, 7957, 10696, 2034, 268, 2897, 11134, 31240, 9627, 667, 3821, 790, 630, 14862, 277, 2506, 1962, 684, 16018, 585, 667, 3821, 790, 3379, 547, 476, 6434, 280, 2506, 1962, 684, 16018, 585, 853, 269, 24839, 264, 901, 729, 7059, 856, 676, 11566, 1489, 585, 853, 269, 24839, 538, 519, 1964, 540, 519, 10034, 1222, 267, 2705, 267, 865, 538, 519, 1439, 853, 269, 24839, 4465, 1688, 1176, 563, 10387, 1962, 684, 568, 851, 540, 519, 21146, 8664, 540, 3794, 1263, 14019, 6261, 637, 22574, 7304, 639, 8688, 585, 1312, 5313, 543, 21621, 12836, 269, 27603, 713, 10160, 568, 513, 27565, 1193, 517, 724, 1245, 538, 1312, 6608, 269, 901, 568, 4358, 547, 1689, 267, 2705, 267, 607, 519, 20271, 2510, 2744, 1489, 538, 519, 1858, 269, 12658, 518, 958, 267, 519, 14964, 729, 27565, 585, 1082, 5756, 2394, 476, 1220, 277, 950, 621, 729, 7522, 569, 3144, 676, 20271, 894, 11134, 24839, 19748, 773, 5060, 269, 19748, 773, 5060, 781, 1489, 814, 7930, 2799, 267, 543, 538, 476, 1001, 272, 646, 4465, 556, 3887, 3005, 676, 936, 476, 1015, 267, 1822, 16018, 563, 3682, 9109, 1017, 569, 267, 2705, 267, 621, 814, 7283, 27565, 269, 769, 519, 476, 1001, 272, 21621, 9550, 267, 519, 14964, 18423, 27565, 630, 531, 18464, 676, 513, 7522, 14345, 264, 5103, 519, 16468, 540, 2442, 27565, 1651, 3518, 550, 14639, 16205, 700, 531, 27475, 267, 543, 5103, 519, 1249, 602, 519, 8644, 5644, 4503, 5176, 8938, 16295, 2066, 14411, 563, 763, 1292, 4155, 538, 2506, 1962, 684, 568, 3502, 516, 5937, 877, 9335, 630, 15575, 344, 10003, 476, 274, 1040, 901, 11112, 8265, 12599, 7532, 1700, 8054, 2066, 2506, 1962, 684, 267, 16046, 922, 29117, 338, 1927, 269, 2311, 922, 7262, 1439, 621, 13462, 547, 10011, 528, 9335, 538, 30240, 21651, 267, 1247, 922, 9456, 1439, 12599, 547, 519, 7404, 8498, 540, 16629, 1088, 2006, 267, 4092, 476, 1321, 5998, 547, 519, 7532, 269, 1306, 2506, 1962, 684, 9428, 267, 519, 8265, 814, 4810, 1713, 20316, 269, 3487, 540, 713, 568, 24395, 730, 676, 519, 1249, 602, 267, 609, 519, 9868, 540, 513, 476, 272, 5998, 3296, 538, 7262, 2506, 1962, 684, 799, 814, 513, 8998, 7432, 26738, 267, 519, 8265, 568, 1869, 513, 6671, 1079, 26738, 8265, 269, 634, 29109, 814, 6594, 519, 7872, 540, 11097, 2287, 519, 3003, 12701, 540, 519, 8265, 547, 1079, 28961, 538, 1142, 4287, 609, 513, 8998, 7432, 26738, 267, 2705, 519, 1942, 540, 713, 568, 2938, 607, 10238, 1438, 267, 865, 3079, 267, 519, 29109, 814, 5059, 593, 3785, 547, 1118, 6808, 2095, 811, 3608, 269, 901, 3769, 519, 18175, 15665, 540, 28963, 267, 1519, 519, 10380, 540, 1007, 2451, 2389, 1248, 6786, 693, 1079, 28963, 630, 1260, 921, 1540, 538, 476, 1001, 272, 264, 543, 519, 10682, 540, 1776, 10167, 609, 513, 5180, 12671, 630, 1260, 921, 1540, 538, 476, 1001, 273, 1916, 10387, 1962, 684, 568, 4092, 476, 279, 5998, 5045, 540, 23681, 476, 275, 1704, 267, 513, 2101, 1863, 3118, 602, 6402, 31747, 543, 27292, 267, 543, 799, 568, 851, 540, 519, 3690, 4211, 534, 3385, 23681, 3060, 269, 5565, 608, 1080, 734, 258, 6434, 543, 1948, 8064, 1765, 25075, 728, 1569, 547, 2506, 1962, 684, 269, 853, 8566, 340, 8759, 2541, 10003, 6402, 1401, 527, 1948, 6434, 609, 3502, 516, 5937, 877, 9335, 267, 1247, 7799, 690, 525, 10003, 1281, 519, 1482, 585, 1401, 527, 1948, 8064, 269, 853, 8566, 340, 8759, 2541, 10003, 543, 1401, 527, 1948, 6434, 568, 519, 1668, 1512, 540, 519, 1079, 267, 1317, 621, 568, 3648, 6251, 547, 31747, 269, 2506, 1962, 684, 781, 4028, 2208, 538, 2487, 1296, 607, 1134, 607, 606, 2799, 7678, 540, 862, 5024, 547, 31747, 585, 960, 814, 3366, 547, 20316, 593, 853, 8566, 340, 8759, 2541, 10003, 269, 589, 1353, 676, 519, 10315, 14643, 6069, 11097, 2287, 853, 8566, 340, 8759, 2541, 10003, 883, 513, 2185, 2000, 2033, 4155, 267, 610, 10962, 513, 1007, 23725, 528, 547, 519, 19814, 538, 1063, 608, 1080, 1948, 6434, 543, 1948, 8064, 563, 10387, 1962, 684, 849, 814, 513, 1507, 11332, 26738, 3060, 269, 589, 17919, 8905, 8255, 7532, 1700, 8054, 998, 519, 2146, 269, 901, 8905, 5161, 540, 513, 11332, 13009, 538, 519, 7262, 851, 540, 519, 2146, 267, 513, 11332, 26738, 593, 2349, 9820, 9335, 538, 519, 8998, 267, 543, 513, 11332, 26738, 593, 2578, 6511, 790, 9335, 538, 519, 7532, 563, 288, 27352, 13234, 2011, 7615, 267, 519, 31747, 270, 10387, 1962, 684, 17224, 617, 4435, 568, 4092, 547, 519, 22236, 540, 519, 4683, 1858, 540, 2506, 1962, 684, 563, 1103, 2487, 1296, 267, 18302, 3028, 814, 1044, 5189, 547, 519, 2146, 269, 634, 18513, 2229, 267, 998, 513, 4579, 609, 2558, 650, 1756, 3213, 778, 20514, 267, 8255, 1614, 8445, 16923, 2769, 11507, 547, 25708, 31747, 689, 2506, 1962, 684, 269, 1358, 616, 281, 305, 719, 324, 476, 276, 2537, 267, 799, 21128, 538, 31747, 585, 476, 278, 600, 543, 3762, 31747, 513, 2370, 1310, 476, 274, 10975, 563, 305, 719, 324, 476, 276, 2190, 267, 799, 21128, 538, 31747, 585, 476, 278, 281, 1789, 600, 543, 3762, 31747, 693, 476, 275, 10975, 454, 305, 719, 324, 476, 30589, 267, 799, 21128, 538, 31747, 585, 476, 278, 281, 2004, 600, 543, 3762, 31747, 693, 476, 275, 281, 1428, 10975, 454, 2026, 713, 8905, 568, 26438, 609, 513, 4357, 2754, 267, 3655, 637, 616, 1164, 269, 589, 10865, 1780, 3790, 1269, 22446, 267, 1247, 835, 17574, 6666, 24214, 568, 1269, 1321, 269, 5221, 540, 713, 267, 930, 2506, 1962, 684, 7264, 3079, 1491, 32726, 3690, 17763, 8905, 1948, 22446, 267, 799, 814, 513, 3247, 693, 513, 6288, 543, 11878, 2603, 476, 279, 5998, 5087, 540, 2506, 1962, 684, 269, 901, 568, 14320, 14949, 630, 305, 719, 324, 1948, 22446, 3790, 1269, 15686, 585, 513, 10865, 1780, 543, 1269, 275, 269, 4792, 585, 835, 17574, 1070, 855, 1447, 10375, 267, 607, 32726, 3690, 17763, 1281, 711, 3028, 519, 2146, 3294, 267, 2495, 2506, 1962, 684, 7264, 723, 547, 5397, 476, 279, 5998, 547, 519, 6288, 543, 11878, 2603, 547, 11878, 32726, 3690, 17763, 269, 27953, 476, 22446, 849, 814, 2663, 16516, 2053, 9789, 5767, 7552, 593, 519, 476, 22446, 21128, 538, 31747, 585, 476, 279, 281, 736, 600, 267, 543, 3762, 31747, 693, 476, 276, 281, 1428, 10975, 267, 799, 568, 1454, 811, 10375, 585, 2506, 1962, 684, 7264, 945, 960, 476, 280, 268, 276, 960, 933, 4060, 563, 10387, 1962, 684, 814, 513, 18626, 2916, 609, 3579, 24475, 267, 18519, 28782, 267, 543, 2110, 1313, 8435, 543, 20950, 563, 11764, 11302, 538, 2506, 1962, 684, 2356, 2063, 827, 476, 276, 3275, 1279, 267, 543, 24475, 616, 827, 476, 275, 1700, 275, 16006, 3275, 1279, 269, 4201, 4379, 543, 5614, 616, 10156, 563, 763, 1101, 6777, 17517, 540, 519, 1032, 2356, 2049, 538, 4571, 3562, 2000, 622, 5437, 267, 855, 6777, 3085, 1405, 2965, 3382, 519, 2666, 2394, 5412, 269, 6969, 602, 267, 6777, 2356, 5283, 1206, 607, 4166, 607, 621, 16125, 519, 2666, 563, 1103, 519, 5614, 267, 519, 6777, 2356, 6238, 13621, 538, 4728, 267, 4352, 17573, 834, 342, 1301, 9397, 257, 609, 5210, 607, 1164, 607, 476, 1015, 11019, 290, 630, 2004, 11019, 293, 264, 2356, 2049, 2899, 610, 7466, 538, 5130, 543, 5988, 563, 9827, 267, 538, 519, 5614, 267, 519, 1858, 11148, 547, 9329, 540, 10800, 23226, 267, 543, 519, 2196, 11325, 883, 519, 10011, 528, 5211, 5956, 563, 1103, 2487, 1296, 267, 24475, 723, 20335, 1454, 15911, 267, 865, 1419, 538, 519, 5162, 16171, 4764, 786, 2049, 269, 901, 2306, 6117, 1360, 13818, 543, 1419, 666, 26118, 1153, 21772, 543, 2306, 519, 9897, 1360, 476, 5390, 585, 513, 1906, 2395, 563, 1103, 519, 4832, 267, 11195, 568, 1419, 1455, 267, 2523, 538, 5147, 269, 4014, 5210, 616, 2356, 1175, 896, 476, 1789, 11019, 290, 630, 10436, 11019, 293, 1070, 609, 519, 11195, 621, 666, 1745, 607, 3905, 607, 476, 3374, 11019, 290, 610, 2362, 269, 0, 763, 3950, 7121, 568, 519, 16144, 896, 799, 707, 7493, 786, 581, 12649, 543, 2663, 3370, 538, 519, 10554, 9102, 6927, 952, 7608, 269, 4438, 519, 19169, 1184, 267, 596, 786, 581, 4280, 547, 2824, 835, 3950, 7121, 585, 707, 7493, 563, 32747, 26669, 14347, 568, 513, 20614, 540, 4915, 602, 4145, 3294, 609, 519, 1353, 540, 3339, 8459, 1599, 267, 8459, 2042, 267, 519, 2126, 540, 8459, 2042, 543, 17669, 10682, 3797, 1519, 31533, 543, 8459, 24328, 269, 11916, 26669, 14347, 568, 513, 7936, 540, 519, 31706, 543, 17328, 8824, 338, 602, 4145, 827, 519, 7634, 540, 519, 8459, 1599, 267, 13605, 327, 14347, 32277, 625, 267, 519, 2126, 540, 519, 13605, 327, 14347, 22074, 543, 17669, 24328, 2126, 5560, 658, 1736, 543, 8459, 24328, 1040, 17718, 7958, 1404, 513, 4105, 1909, 585, 1272, 609, 741, 1950, 3060, 540, 1973, 8043, 543, 6946, 3060, 540, 13740, 543, 8685, 2737, 602, 6882, 1973, 540, 922, 3653, 2472, 543, 4430, 1216, 269, 17718, 7958, 2226, 15559, 267, 32690, 267, 543, 1351, 4592, 633, 3490, 4287, 602, 616, 9168, 676, 8459, 4731, 8014, 2175, 543, 538, 1840, 5061, 543, 13802, 269, 13605, 327, 14347, 3676, 4383, 7634, 540, 519, 6093, 2324, 540, 519, 14401, 543, 922, 19210, 525, 269, 26640, 8764, 725, 267, 2052, 6203, 540, 519, 14401, 267, 15485, 267, 543, 23443, 628, 571, 267, 12186, 540, 32277, 625, 899, 3987, 543, 13119, 593, 14401, 267, 18729, 3490, 12150, 4162, 267, 13605, 327, 26578, 4524, 543, 26669, 8539, 267, 7629, 5222, 540, 6527, 543, 1093, 11143, 593, 519, 14401, 267, 12480, 1736, 543, 922, 1279, 2165, 8374, 910, 31533, 16621, 688, 655, 617, 658, 1736, 543, 849, 829, 32050, 531, 31533, 267, 16790, 14545, 3676, 1519, 4761, 1062, 21729, 1529, 4345, 267, 20461, 267, 543, 865, 8521, 269, 12443, 1097, 10973, 14401, 5563, 1141, 5458, 1332, 2195, 610, 5277, 4904, 5485, 338, 616, 8032, 3330, 519, 8459, 10556, 532, 922, 3252, 6253, 529, 568, 22787, 543, 15110, 610, 22420, 2783, 563, 268, 25397, 476, 272, 268, 272, 27287, 1416, 13605, 327, 14347, 454, 268, 25397, 476, 272, 268, 273, 1805, 655, 8426, 543, 3204, 17654, 13605, 327, 14347, 454, 268, 25397, 476, 272, 268, 274, 4002, 322, 11043, 13605, 327, 14347, 454, 268, 25397, 476, 272, 268, 275, 11917, 560, 10614, 13605, 327, 1886, 4331, 454, 268, 25397, 476, 272, 268, 276, 301, 32397, 1258, 11916, 26821, 454, 308, 14347, 849, 5219, 547, 607, 1024, 527, 712, 2435, 10551, 5650, 568, 7936, 540, 4915, 799, 9388, 609, 519, 10551, 543, 2564, 4576, 1459, 538, 519, 17256, 8778, 543, 3968, 538, 1022, 851, 540, 519, 17256, 8778, 568, 1634, 607, 17256, 8778, 3968, 269, 3493, 1742, 593, 519, 1747, 540, 25124, 621, 568, 3957, 8335, 269, 1879, 519, 3968, 568, 593, 519, 5580, 17256, 8778, 1287, 568, 5219, 547, 607, 7510, 601, 517, 32397, 8539, 269, 1323, 1418, 799, 2501, 896, 579, 14347, 568, 14401, 267, 29427, 15374, 267, 23443, 628, 571, 267, 19786, 543, 5256, 10285, 1418, 269, 5871, 4576, 5161, 540, 772, 2316, 267, 7984, 2435, 538, 11666, 775, 267, 22480, 14382, 1738, 5409, 25936, 269, 634, 1034, 1455, 2014, 540, 3968, 568, 18521, 615, 747, 807, 16509, 824, 982, 4551, 13271, 666, 849, 2014, 519, 3968, 269, 23369, 547, 891, 5563, 13315, 1906, 4255, 899, 2712, 1400, 1736, 267, 10729, 22794, 269, 5811, 5650, 15320, 547, 519, 9907, 1004, 543, 621, 849, 2352, 269, 4014, 17256, 1062, 814 ]

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

[ 476, 11152, 1700, 9032, 630, 1708, 271, 1916, 291, 1263, 267, 654, 269, 1696, 620, 269, 12729, 4598, 547, 16568, 17336, 268, 273, 14014, 1996, 5368, 325, 1254, 538, 678, 1127, 639, 5672, 320, 13196, 269, 3163, 476, 3607, 280, 263, 20981, 276, 1070, 476, 279, 1240, 1700, 279, 2537, 630, 1708, 271, 1916, 29834, 267, 654, 1421, 12448, 525, 267, 595, 269, 670, 269, 1299, 700, 4660, 18721, 267, 623, 269, 623, 269, 589, 3644, 5833, 689, 14798, 2550, 269, 31102, 476, 19442, 267, 476, 5780, 1700, 6924, 630, 4350, 274, 1916, 32178, 267, 631, 269, 1696, 620, 269, 16568, 17336, 268, 273, 568, 10299, 3842, 3346, 543, 3842, 519, 2011, 1063, 7542, 28905, 269, 7186, 18058, 476, 1556, 263, 272, 1070, 476, 4097, 280, 277, 630, 1708, 271, 1916, 298, 574, 267, 962, 269, 594, 269, 1696, 620, 269, 25124, 543, 4028, 6771, 540, 16568, 17336, 268, 273, 538, 7542, 28905, 269, 8426, 21118, 5843, 2041, 476, 2767, 267, 476, 3583, 275, 268, 3583, 280, 4318, 273, 630, 1708, 271, 1916, 295, 340, 836, 267, 595, 269, 1696, 620, 269, 11916, 2934, 540, 2550, 7783, 609, 476, 1001, 280, 3209, 11452, 538, 18961, 7315, 3624, 269, 31102, 476, 4375, 276, 267, 476, 5392, 278, 1700, 2004, 277, 630, 1708, 271, 1916, 4537, 328, 267, 808, 269, 1696, 620, 269, 12246, 1061, 2225, 540, 7542, 28905, 267, 7314, 267, 5243, 267, 543, 824, 30042, 2831, 547, 16568, 2275, 528, 517, 8785, 476, 273, 269, 3163, 476, 3607, 279, 267, 476, 6200, 277, 1700, 9083, 271, 630, 1708, 271, 1916, 19913, 331, 2714, 879, 267, 918, 269, 1696, 620, 269, 21885, 6771, 2090, 540, 16568, 17336, 268, 273, 538, 4829, 16835, 7542, 28905, 267, 14918, 543, 17944, 269, 9399, 305, 301, 5082, 1258, 269, 808, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 22659, 280, 270, 1087, 337, 333, 269, 3374, 278, 279, 8064, 273, 630, 1708, 271, 1916, 305, 12505, 267, 918, 269, 589, 269, 1696, 620, 269, 667, 846, 17466, 3210, 547, 3968, 609, 16568, 17336, 268, 273, 538, 519, 7542, 4958, 2203, 543, 2963, 540, 8825, 12046, 269, 14844, 269, 4004, 269, 476, 1321, 267, 476, 10037, 630, 1708, 272, 1916, 300, 6702, 267, 717, 269, 589, 269, 1696, 620, 269, 769, 20117, 1915, 5314, 540, 16568, 17336, 268, 273, 543, 18687, 540, 6469, 7542, 28905, 630, 300, 755, 11253, 2322, 528, 3780, 535, 1755, 1040, 3690, 20129, 269, 9622, 326, 269, 2598, 269, 476, 7597, 263, 273, 1070, 476, 29574, 1700, 28906, 630, 1708, 272, 1916, 292, 3164, 1777, 267, 670, 269, 661, 269, 1696, 620, 269, 2271, 3757, 29569, 3968, 540, 7542, 28905, 609, 16568, 17336, 268, 273, 607, 513, 2203, 585, 28105, 1480, 3968, 269, 5164, 4926, 476, 1724, 263, 272, 1070, 476, 13647, 630, 1708, 272, 1916, 290, 3315, 267, 700, 269, 1696, 620, 269, 1772, 15684, 543, 4028, 4687, 540, 519, 476, 1001, 280, 3209, 11452, 630, 306, 12678, 17336, 268, 273, 264, 689, 519, 1101, 3461, 8995, 609, 5046, 268, 866, 538, 5245, 269, 2405, 269, 808, 269, 3243, 269, 476, 18891, 267, 476, 3393, 280, 1700, 5379, 273, 630, 1708, 271, 1916, 289, 21516, 267, 667, 269, 595, 269, 1696, 620, 269, 25417, 6855, 3210, 1210, 1024, 15299, 543, 6915, 514, 26197, 281, 589, 2013, 1353, 593, 519, 28928, 16568, 17336, 268, 273, 12176, 269, 3690, 20129, 269, 9622, 326, 269, 2598, 269, 476, 6858, 263, 275, 1070, 476, 13970, 274, 1700, 16409, 273, 630, 1708, 271, 1916, 3725, 539, 267, 700, 269, 808, 269, 1299, 16334, 26067, 267, 670, 269, 589, 2241, 1505, 540, 21501, 15823, 829, 1298, 1439, 9557, 269, 2549, 269, 808, 269, 25731, 2723, 269, 476, 2767, 267, 476, 5392, 274, 1700, 5392, 278, 630, 4350, 279, 1916, 21930, 267, 645, 269, 661, 269, 1696, 620, 269, 25731, 328, 11043, 2934, 543, 4791, 1576, 540, 2550, 7783, 609, 16568, 17336, 268, 273, 538, 14135, 269, 808, 24717, 476, 26825, 263, 1428, 1070, 476, 14681, 271, 630, 1708, 271, 1916, 299, 525, 10810, 267, 674, 269, 2473, 269, 1696, 620, 269, 11916, 543, 19274, 25233, 1239, 540, 519, 1101, 2665, 540, 5046, 268, 866, 538, 2342, 281, 589, 2013, 3126, 269, 31102, 16791, 269, 2598, 269, 476, 736, 267, 476, 7597, 278, 1700, 3583, 277, 630, 1708, 271, 1916, 295, 340, 836, 267, 595, 269, 1696, 620, 269, 11916, 2934, 540, 2550, 7783, 609, 476, 1001, 280, 3209, 11452, 538, 18961, 7315, 267, 3624, 269, 31102, 476, 4375, 276, 267, 476, 5392, 278, 1700, 2004, 277, 630, 1708, 271, 1916, 10817, 24473, 267, 590, 1421, 26436, 267, 808, 1421, 3911, 1080, 267, 590, 1421, 7201, 6229, 267, 808, 269, 1299, 26541, 342, 8643, 267, 590, 269, 6431, 11962, 10194, 17766, 540, 16568, 17336, 268, 273, 538, 535, 2801, 806, 1765, 288, 4028, 2689, 269, 2051, 28030, 269, 2598, 269, 476, 2420, 267, 476, 277, 1556, 1700, 30663, 630, 1708, 271, 1916, 300, 5674, 518, 578, 6308, 267, 661, 269, 589, 1421, 6762, 614, 2006, 267, 589, 1421, 19413, 267, 681, 269, 570, 269, 1299, 29017, 267, 623, 269, 661, 269, 28298, 540, 16568, 17336, 268, 273, 281, 589, 2689, 540, 10194, 267, 3984, 267, 543, 2825, 2188, 269, 7788, 269, 2902, 269, 2405, 269, 476, 14690, 267, 476, 7597, 1700, 8064, 630, 1708, 272, 1916, 290, 1156, 267, 715, 269, 1696, 620, 269, 25731, 8344, 543, 4791, 4162, 540, 476, 4200, 2665, 540, 476, 1001, 280, 3209, 11452, 16415, 538, 18961, 7315, 267, 3624, 281, 589, 10855, 1353, 269, 31102, 476, 4375, 276, 267, 476, 2004, 278, 1700, 276, 1724, 630, 1708, 271, 1916, 306, 21036, 267, 808, 269, 918, 1421, 2473, 807, 267, 808, 1421, 6182, 1180, 514, 267, 808, 269, 631, 1421, 1621, 548, 267, 590, 269, 918, 269, 1299, 32021, 889, 22603, 267, 808, 269, 589, 269, 26590, 5409, 16744, 20945, 13251, 676, 11337, 8533, 24474, 2643, 8872, 23236, 538, 14148, 281, 31469, 543, 6286, 585, 840, 30570, 3631, 269, 5890, 269, 22776, 269, 2405, 269, 630, 9802, 6229, 264, 476, 15996, 267, 476, 6507, 278, 1700, 4281, 275, 630, 1220, 276, 1916, 313, 340, 7875, 1512, 267, 595, 269, 808, 1421, 25391, 17507, 267, 589, 1421, 670, 719, 523, 267, 590, 269, 631, 1421, 670, 3326, 10458, 267, 631, 269, 654, 269, 1299, 7579, 6359, 333, 267, 654, 269, 808, 269, 19630, 1944, 606, 20469, 20786, 585, 6391, 538, 8983, 998, 6922, 1436, 540, 8280, 17871, 267, 10894, 267, 543, 12982, 32677, 725, 269, 5890, 269, 22776, 269, 2405, 269, 630, 9802, 6229, 264, 476, 26839, 267, 476, 278, 4391, 1700, 278, 5379, 630, 1001, 275, 1916, 2026, 14508, 6261, 334, 30377, 267, 589, 269, 589, 269, 1299, 3244, 8643, 267, 700, 269, 6239, 8401, 1062, 19183, 540, 5046, 268, 866, 281, 589, 9836, 2689, 269, 808, 269, 3026, 340, 1503, 269, 2233, 269, 476, 31979, 267, 476, 14138, 279, 3953, 630, 1708, 271, 1916, 300, 21807, 641, 9567, 537, 267, 590, 269, 1696, 620, 269, 5274, 11452, 32726, 6246, 2404, 609, 14603, 29363, 4345, 269, 715, 269, 1621, 331, 269, 808, 269, 2405, 269, 476, 23841, 267, 476, 5392, 278, 1700, 5392, 279, 630, 1001, 277, 1916, 300, 6702, 267, 717, 269, 589, 269, 1696, 620, 269, 932, 3849, 23682, 272, 562, 10870, 309, 268, 866, 630, 288, 313, 291, 14338, 273, 264, 6669, 11134, 3648, 6971, 16568, 17336, 268, 273, 17766, 538, 7542, 28905, 269, 26128, 297, 17261, 1149, 476, 277, 267, 476, 6858, 630, 1708, 272, 1916, 2171, 1131, 899, 547, 11760, 519, 6351, 540, 21877, 2353, 18133, 339, 267, 4793, 878, 807, 8304, 515, 518, 267, 543, 27813, 15794, 689, 595, 10485, 4629, 282, 25138, 1744, 31103, 742, 543, 5261, 22337, 1782, 689, 595, 7968, 296, 282, 585, 741, 1489, 1282, 713, 1788, 269, 1284, 849, 16416, 2685, 11760, 519, 2930, 948, 540, 519, 589, 7374, 303, 2876, 1108, 12243, 269, 634, 4589, 11760, 519, 8241, 10418, 585, 8376, 16721, 1563, 1145, 267, 538, 3246, 519, 9744, 1031, 538, 519, 12032, 540, 713, 960, 269, 8750, 539, 998, 519, 2817, 20985, 3194, 24486, 15613, 630, 301, 10135, 3041, 1070, 589, 7374, 303, 814, 3177, 4359, 2029, 543, 5989, 538, 519, 8447, 1230, 24287, 630, 15425, 264, 476, 275, 2098, 3019, 2670, 2672, 924, 543, 4437, 846, 10810, 16332, 1108, 6997, 585, 946, 538, 713, 1382, 1788, 269, 901, 1382, 729, 14102, 676, 513, 9886, 689, 519, 29663, 585, 20615, 2438, 16721, 1563, 1145, 11627, 725, 630, 4753, 18444, 264, 543, 519, 20448, 11660, 543, 11633, 3194, 25944, 630, 5425, 296, 4629, 1916, 306, 1440, 5424, 7186, 3788, 9243, 609, 2543, 547, 11758, 12302, 6811, 538, 3370, 7851, 543, 12250, 28930, 725, 563, 10666, 713, 2376, 454, 29241, 713, 2376, 454, 288, 340, 267, 717, 14371, 1421, 15794, 267, 717, 6993, 1421, 5062, 288, 2544, 344, 267, 589, 12282, 269, 1696, 620, 269, 10886, 5314, 543, 2067, 11144, 540, 16568, 17336, 268, 273, 3968, 538, 7542, 28905, 269, 2233, 3115, 476, 1321, 267, 476, 6321, 279, 271, 630, 1708, 273, 1040, 4179, 2517, 8742, 3820, 270, 1015, 269, 9818, 279, 4882, 25870, 7176, 268, 28873, 268, 5400, 275, 4029, 268, 277, 0, 303, 32535, 344, 7646, 1168, 568, 513, 9425, 1455, 3390, 585, 1330, 1326, 5052, 267, 2695, 10449, 543, 6802, 9469, 269, 898, 6238, 547, 1860, 873, 538, 3735, 4832, 543, 568, 711, 1945, 547, 5855, 827, 269, 634, 3762, 786, 1376, 547, 1020, 513, 17642, 880, 15098, 1354, 7432, 5835, 543, 5555, 12955, 1055, 563, 2791, 3580, 1034, 2693, 1265, 602, 519, 7646, 1168, 5540, 519, 4587, 3762, 15029, 519, 1007, 3762, 1332, 998, 9985, 1072, 1176, 267, 543, 602, 519, 2030, 5170, 547, 3132, 17580, 5613, 585, 1896, 4374, 19952, 269, 3776, 5796, 1131, 581, 547, 3274, 4894, 519, 10782, 540, 519, 4299, 3762, 547, 1450, 519, 1007, 2208, 547, 2097, 998, 267, 543, 711, 547, 5855, 1932, 1454, 827, 621, 269, 1411, 1223, 2119, 513, 5144, 270, 4248, 10936, 630, 272, 851, 5144, 547, 476, 274, 2694, 1216, 10936, 539, 593, 519, 3762, 264, 952, 596, 1616, 267, 855, 3314, 602, 713, 568, 1360, 1454, 851, 540, 519, 2371, 685, 2067, 4783, 543, 786, 581, 2352, 547, 2061, 269, 0, 2690, 1034, 1357, 3135, 5411, 519, 17950, 540, 1357, 1374, 2611, 513, 7294, 9814, 269, 4107, 1004, 4782, 547, 4497, 519, 2533, 540, 513, 3318, 1357, 1374, 2754, 971, 607, 12213, 6611, 5071, 547, 1491, 782, 519, 7294, 1357, 1646, 960, 1055, 741, 3946, 563, 4913, 267, 952, 707, 1357, 3135, 568, 5497, 585, 5010, 946, 267, 972, 568, 1100, 2800, 538, 5329, 32448, 540, 5571, 7835, 269, 2290, 540, 891, 568, 519, 946, 540, 22898, 610, 968, 322, 2444, 8172, 2511, 9212, 892, 883, 1357, 1374, 543, 519, 575, 626, 540, 713, 568, 5941, 2630, 269, 20323, 267, 14103, 729, 519, 1152, 4950, 1893, 2139, 585, 2679, 1357, 3817, 269, 2311, 1101, 14103, 1152, 18808, 609, 1257, 543, 713, 568, 1018, 1500, 909, 2038, 1357, 4609, 269, 16103, 543, 1239, 11231, 538, 7515, 3357, 2059, 1985, 543, 713, 729, 11368, 883, 2663, 8747, 540, 14103, 269, 1717, 267, 972, 7283, 1978, 28919, 609, 14103, 602, 5921, 602, 621, 7948, 1406, 581, 1031, 585, 519, 1034, 1950, 540, 4247, 799, 3755, 941, 4098, 547, 2097, 547, 2503, 563, 12487, 7876, 729, 2699, 525, 11220, 538, 1931, 547, 581, 2111, 547, 1711, 1732, 2360, 538, 606, 740, 554, 665, 4990, 540, 513, 1259, 269, 1306, 519, 1297, 540, 4950, 26292, 2799, 267, 789, 941, 1210, 741, 1378, 1808, 4654, 543, 621, 729, 2182, 585, 1357, 9858, 547, 1711, 3817, 602, 1223, 581, 1031, 676, 1169, 11422, 2139, 269, 634, 14103, 2813, 2968, 2479, 811, 25302, 538, 606, 3801, 547, 1118, 873, 960, 593, 1114, 5665, 1949, 543, 519, 3009, 2813, 729, 711, 2731, 602, 5078, 269, 9664, 3576, 3476, 543, 3476, 547, 4647, 543, 1357, 1569, 2968, 513, 2603, 14887, 269, 2290, 540, 519, 824, 27656, 2355, 609, 14103, 729, 538, 2870, 2511, 538, 1257, 269, 634, 1259, 538, 799, 519, 2511, 729, 4294, 1185, 547, 581, 7368, 936, 543, 936, 1586, 543, 1142, 7368, 3498, 1185, 547, 1831, 851, 540, 519, 3009, 602, 729, 16041, 5196, 519, 11422, 1354, 621, 1223, 581, 1224, 269, 901, 5921, 602, 513, 2603, 540, 519, 3009, 1031, 729, 2731, 32118, 610, 11032, 947, 3320, 16625, 563, 763, 1101, 4528, 540, 22898, 267, 22898, 272, 267, 729, 5950, 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 ]

[ 519, 9803, 1648, 1533, 2306, 621, 796, 10849, 969, 762, 269, 1284, 1294, 1919, 676, 1259, 540, 4334, 269, 634, 3750, 1568, 676, 15603, 1769, 2887, 593, 519, 6382, 4158, 22100, 269, 1809, 952, 519, 3750, 941, 4904, 609, 1769, 267, 972, 1131, 581, 1100, 14334, 547, 6488, 513, 4334, 269, 634, 4642, 15304, 2361, 568, 971, 513, 1025, 4193, 1769, 269, 4595, 621, 568, 10876, 267, 3330, 543, 3544, 540, 721, 267, 15449, 908, 1169, 11046, 538, 938, 4703, 267, 649, 616, 3927, 9420, 547, 621, 269, 898, 9420, 338, 721, 547, 922, 4527, 269, 634, 1158, 540, 1769, 602, 649, 798, 1294, 568, 782, 519, 1964, 540, 519, 1769, 602, 568, 936, 543, 1657, 519, 4642, 15304, 2361, 563, 2171, 3112, 9004, 519, 4642, 15304, 2361, 689, 938, 4064, 267, 855, 621, 568, 2009, 547, 9004, 513, 2370, 3787, 540, 621, 689, 519, 3148, 1063, 1079, 4496, 10824, 269, 630, 20007, 1227, 267, 713, 814, 547, 798, 609, 2175, 519, 13590, 6329, 1590, 14183, 593, 519, 6676, 6302, 8094, 288, 10656, 21997, 267, 26673, 20891, 16629, 25504, 267, 10567, 538, 476, 3707, 279, 4010, 875, 1454, 540, 519, 4642, 15304, 2361, 1131, 1439, 909, 1373, 16934, 538, 519, 7934, 1063, 519, 10824, 267, 543, 875, 713, 1131, 12958, 513, 3196, 267, 2094, 972, 568, 1287, 606, 936, 12304, 675, 593, 519, 3544, 540, 519, 10824, 269, 16629, 25504, 10567, 519, 6935, 1063, 519, 7934, 543, 519, 3196, 1360, 10502, 269, 1411, 666, 267, 2705, 267, 1152, 23868, 513, 6263, 6824, 540, 519, 4642, 15304, 2361, 689, 519, 7934, 1063, 519, 10824, 538, 713, 1259, 269, 22388, 842, 30698, 569, 267, 519, 6251, 519, 10824, 2097, 1927, 267, 519, 811, 540, 519, 4642, 15304, 2361, 4991, 16934, 267, 855, 972, 568, 513, 3970, 547, 713, 1184, 1317, 10824, 616, 1500, 909, 540, 8444, 543, 596, 3112, 1118, 519, 7934, 1063, 519, 10824, 4130, 982, 519, 8444, 602, 13822, 519, 10824, 269, 901, 16629, 25504, 3196, 814, 1631, 1044, 9308, 6027, 267, 543, 519, 2164, 3858, 1360, 1134, 609, 1010, 12605, 563, 763, 6602, 602, 1250, 26393, 1101, 1500, 538, 476, 1960, 273, 849, 814, 547, 798, 609, 513, 3196, 602, 519, 4642, 15304, 2361, 12958, 267, 799, 3217, 721, 1394, 547, 674, 284, 2742, 267, 13053, 779, 4583, 3830, 540, 5163, 269, 13053, 1107, 543, 782, 21575, 2094, 1107, 723, 10924, 602, 782, 2339, 19299, 606, 17916, 2527, 267, 519, 544, 538, 13053, 779, 3830, 269, 634, 2527, 540, 606, 1843, 568, 513, 2268, 540, 922, 24880, 267, 922, 4187, 547, 10231, 267, 519, 513, 269, 634, 3830, 540, 5163, 267, 1634, 607, 13053, 779, 2034, 1876, 267, 2829, 602, 952, 596, 4019, 513, 3196, 267, 674, 267, 547, 606, 1843, 596, 786, 1205, 606, 10231, 267, 513, 1107, 855, 519, 811, 2527, 267, 544, 267, 519, 1843, 19299, 267, 519, 1447, 10231, 596, 786, 1205, 585, 513, 2016, 3196, 269, 769, 824, 1913, 267, 519, 3196, 621, 3217, 547, 17108, 513, 19735, 533, 3089, 547, 513, 1164, 3432, 786, 18923, 5229, 613, 513, 1286, 269, 1280, 1022, 2016, 3196, 267, 674, 267, 952, 544, 4422, 909, 267, 513, 4422, 1524, 267, 543, 13030, 17930, 563, 3963, 568, 713, 286, 1548, 5795, 2339, 713, 3959, 540, 28429, 16931, 658, 2527, 286, 4284, 27913, 3006, 2911, 827, 513, 1523, 1634, 607, 968, 300, 778, 779, 20232, 892, 855, 782, 602, 1281, 568, 547, 3715, 513, 1978, 2078, 1063, 8904, 543, 24880, 269, 898, 3085, 1406, 2731, 2161, 875, 782, 1570, 3615, 10536, 2527, 269, 769, 1249, 267, 519, 960, 602, 681, 4240, 320, 267, 594, 543, 1776, 26393, 267, 16199, 623, 3578, 4752, 267, 723, 2094, 2944, 5815, 602, 2527, 568, 267, 538, 1198, 267, 606, 21903, 269, 17460, 759, 1235, 10231, 711, 1317, 621, 19299, 930, 17916, 3364, 1572, 2527, 267, 855, 1317, 519, 4642, 15304, 2361, 11851, 338, 513, 3196, 8164, 10231, 3217, 1747, 269, 1677, 2322, 621, 538, 10169, 21042, 9713, 2474, 267, 972, 6818, 513, 4282, 4262, 540, 7061, 1769, 11423, 519, 7122, 267, 543, 602, 1769, 12958, 513, 3196, 602, 1727, 4680, 10231, 950, 596, 7903, 593, 1022, 1570, 1843, 269, 2334, 568, 1946, 2339, 4667, 547, 581, 519, 4396, 267, 7123, 8631, 602, 649, 543, 938, 1158, 616, 1500, 540, 563, 306, 11691, 713, 568, 835, 3364, 269, 1160, 1324, 621, 23963, 568, 1776, 269, 898, 3576, 513, 1032, 543, 513, 3368, 540, 12719, 543, 1603, 543, 3206, 267, 936, 543, 936, 1586, 267, 547, 13217, 1312, 519, 2093, 2933, 543, 519, 6881, 547, 519, 1448, 540, 8313, 538, 513, 3318, 1382, 4760, 269, 2201, 606, 4081, 2053, 7051, 713, 729, 2965, 7168, 2656, 267, 543, 649, 941, 2111, 547, 15476, 538, 1018, 568, 4922, 9833, 607, 519, 1158, 779, 3056, 6323, 4760, 267, 519, 8447, 5623, 267, 538, 5988, 476, 1960, 275, 269, 1677, 1283, 621, 1055, 267, 3163, 543, 11660, 1977, 10443, 2984, 593, 938, 1007, 24880, 8367, 269, 1284, 31372, 585, 930, 5114, 269, 14348, 824, 3744, 6961, 721, 1318, 610, 6961, 721, 4636, 286, 26681, 5949, 563, 4263, 602, 1448, 538, 1250, 4876, 594, 729, 2907, 513, 9425, 1134, 28004, 10196, 267, 1373, 513, 9030, 31375, 593, 8331, 1382, 14828, 267, 7674, 607, 606, 12314, 9375, 540, 519, 8330, 5268, 9713, 4750, 267, 543, 2348, 1082, 19421, 540, 12326, 538, 519, 6252, 2361, 540, 28936, 12695, 269, 769, 24794, 1051, 267, 1250, 1995, 1058, 723, 19230, 803, 602, 649, 1185, 5887, 3293, 883, 5906, 7811, 7297, 267, 602, 649, 941, 2469, 547, 581, 2451, 593, 938, 1378, 547, 16173, 610, 7669, 269, 11569, 267, 594, 1131, 4440, 723, 3144, 519, 1482, 7227, 7146, 268, 5408, 10182, 8885, 1185, 594, 1044, 593, 519, 3544, 3168, 538, 563, 2304, 4244, 547, 2348, 824, 3744, 21613, 707, 960, 543, 6961, 602, 596, 616, 1318, 568, 547, 1205, 519, 1482, 1267, 3054, 1210, 513, 4625, 1114, 1935, 269, 594, 5206, 513, 1382, 11556, 547, 8331, 543, 1325, 325, 517, 810, 12617, 5128, 538, 1007, 9273, 269, 1284, 3893, 7616, 543, 649, 3893, 2164, 269, 769, 476, 1960, 279, 267, 649, 3370, 1079, 1007, 4574, 602, 1586, 4951, 602, 519, 24880, 540, 2339, 1223, 581, 14360, 1394, 547, 519, 4642, 15304, 2361, 269, 1656, 711, 1152, 729, 519, 1935, 538, 1346, 4574, 4625, 1114, 982, 538, 519, 476, 1960, 275, 1957, 267, 855, 519, 6128, 729, 12863, 1247, 519, 6323, 729, 811, 2347, 281, 513, 1034, 14909, 4999, 269, 1548, 779, 811, 267, 519, 3312, 2079, 1185, 1031, 13053, 1014, 8106, 6323, 282, 519, 1007, 2079, 1031, 18160, 1014, 8887, 643, 2065, 6323, 563, 2026, 9415, 607, 594, 993, 267, 621, 568, 1869, 1932, 2038, 547, 2161, 2436, 1686, 786, 6961, 721, 1318, 610, 4636, 269, 1809, 952, 649, 616, 1318, 267, 1287, 968, 4131, 972, 581, 1769, 892, 568, 8197, 513, 1360, 7096, 3948, 267, 607, 835, 1522, 2503, 540, 922, 1625, 19959, 2278, 269, 634, 4396, 267, 7123, 1158, 540, 2339, 5526, 547, 581, 13455, 693, 1169, 8216, 676, 606, 5817, 4262, 540, 7061, 1648, 563, 3719, 1577, 779, 1491, 713, 1256, 835, 1900, 2417, 269, 1403, 621, 568, 519, 5817, 7706, 540, 1769, 602, 568, 519, 4909, 4641, 605, 6137, 909, 938, 2168, 7122, 267, 1577, 721, 2307, 6000, 875, 519, 7122, 540, 2230, 543, 942, 1131, 2408, 689, 519, 5133, 540, 513, 11237, 540, 1769, 269, 634, 4031, 540, 25536, 616, 2312, 593, 713, 1448, 269, 1403, 596, 1223, 11878, 513, 11237, 540, 1769, 607, 606, 20626, 267, 782, 540, 2230, 1131, 16756, 547, 513, 1448, 267, 543, 782, 540, 942, 1131, 12900, 547, 606, 8216, 269, 769, 519, 4704, 7406, 540, 1769, 267, 972, 568, 1100, 2230, 543, 942, 269, 1403, 649, 1413, 909, 693, 519, 1656, 668, 20364, 14925, 538, 519, 3781, 6607, 267, 649, 1294, 1769, 602, 689, 938, 1448, 540, 2070, 3576, 476, 273, 2929, 1296, 547, 29906, 602, 5318, 3845, 540, 2230, 269, 1809, 547, 513, 11237, 540, 1769, 10237, 908, 689, 930, 5182, 538, 519, 1656, 668, 20364, 14925, 267, 519, 6771, 689, 922, 1448, 540, 5169, 547, 938, 3750, 729, 31302, 563, 2467, 1590, 581, 513, 4514, 2495, 538, 891, 2168, 5013, 267, 513, 4514, 5168, 827, 519, 21800, 954, 28947, 540, 782, 1919, 269, 898, 939, 330, 976, 721, 4464, 538, 938, 3406, 585, 513, 1732, 267, 1854, 518, 1620, 540, 519, 2470, 540, 519, 7122, 267, 540, 519, 8129, 540, 2230, 543, 942, 1107, 1346, 968, 650, 16272, 892, 602, 2943, 1745, 865, 1483, 547, 721, 563, 289, 1716, 14551, 670, 9820, 577, 267, 5234, 21997, 693, 519, 24522, 515, 539, 9410, 9891, 1299, 8330, 5268, 12695, 12524, 538, 6022, 334, 1325, 1729, 267, 4993, 267, 568, 513, 3621, 9375, 540, 634, 8330, 5268, 9713, 4750, 543, 9375, 2987, 268, 27815, 540, 519, 4750, 540, 11660, 16709, 563, 15100, 476, 1220, 272, 3163, 1299, 13336, 18225, 269, 2353, 2924, 11603, 0, 1607, 1808, 9768, 7160, 568, 4867, 711, 2139, 24707, 782, 12215, 540, 713, 9768, 7160, 912, 2171, 1589, 540, 519, 11193, 607, 513, 26124, 5736, 540, 1480, 9740, 8584, 533, 4883, 12386, 540, 7499, 21184, 543, 1480, 626, 11958, 4800, 267, 519, 942, 540, 9956, 267, 18466, 32109, 267, 543, 8053, 5218, 324, 269, 8616, 621, 729, 849, 606, 2085, 540, 3586, 267, 3771, 8089, 13137, 269, 14022, 625, 267, 711, 15806, 267, 8032, 519, 3068, 540, 2342, 607, 2413, 4182, 32145, 7153, 689, 32540, 2486, 269, 769, 674, 3753, 267, 835, 540, 519, 3056, 5640, 540, 11193, 1686, 19306, 519, 4158, 4641, 540, 519, 1974, 538, 513, 17680, 6137, 2239, 24463, 563, 2026, 700, 879, 549, 6742, 1149, 2982, 721, 267, 968, 20135, 2112, 892, 729, 1100, 14206, 10601, 5647, 269, 1452, 7526, 838, 1563, 1100, 21127, 538, 741, 2619, 269, 589, 11193, 7952, 729, 513, 5985, 2749, 23949, 3975, 267, 513, 3196, 540, 8938, 8536, 610, 17288, 8536, 2367, 729, 3677, 982, 1082, 4872, 540, 519, 1554, 269, 1656, 621, 729, 513, 20599, 267, 1821, 28666, 1426, 543, 7727, 585, 5195, 1472, 269, 898, 2367, 3166, 10034, 543, 519, 24781, 7146, 3294, 2914, 603, 26380, 543, 2068, 267, 1419, 811, 24037, 982, 8396, 269, 674, 18017, 3294, 729, 5260, 720, 267, 922, 5208, 2799, 676, 519, 946, 540, 9241, 11827, 9604, 267, 689, 1660, 22806, 547, 6180, 1513, 563, 2690, 5553, 267, 4967, 6742, 1149, 267, 519, 1686, 540, 713, 1974, 814, 23163, 23372, 267, 968, 14683, 6214, 2223, 543, 4108, 12485, 269, 674, 3753, 12662, 721, 593, 519, 4395, 3515, 540, 6370, 267, 543, 593, 519, 10754, 540, 4872, 896, 26362, 267, 547, 7866, 1018, 2342, 781, 10617, 5921, 547, 519, 2367, 543, 2021, 945, 28815, 873, 563, 257, 27675, 18462, 257, 949, 4866, 547, 1776, 7160, 540, 713, 2140, 563, 299, 879, 549, 6742, 1149, 568, 835, 540, 519, 1158, 781, 19466, 12206, 540, 519, 7969, 11193, 543, 2038, 2413, 2342, 269, 1261, 568, 519, 2278, 540, 8370, 2835, 267, 1034, 5063, 519, 9691, 28601, 9605, 538, 519, 4975, 281, 14205, 517, 541, 7637, 543, 519, 26647, 24327, 585, 11193, 23509, 543, 4989, 10552, 281, 23509, 543, 519, 18140, 18830, 519, 5709, 328, 269, 18004, 538, 9628, 267, 646, 729, 513, 7548, 540, 1686, 693, 17459, 6369, 269, 1261, 1631, 2729, 538, 5507, 609, 1010, 7385, 267, 519, 29787, 27813, 744, 262, 293, 320, 565, 664, 269, 5804, 3883, 4289, 912, 4462, 331, 13806, 941, 21127, 540, 2038, 2413, 2342, 538, 519, 2619, 540, 606, 7952, 593, 519, 15292, 610, 538, 513, 2749, 896, 26362, 269, 3143, 10930, 941, 7980, 267, 811, 19038, 547, 5884, 689, 2068, 543, 27781, 982, 6370, 269, 966, 793, 22863, 540, 16897, 689, 519, 5736, 779, 544, 6130, 560, 668, 338, 267, 6264, 569, 11331, 519, 774, 8812, 13012, 685, 2782, 610, 519, 10656, 4860, 27117, 267, 32736, 538, 6742, 1149, 685, 2126, 267, 799, 13290, 547, 6318, 5683, 2055, 827, 31858, 24252, 540, 2112, 269, 5494, 870, 532, 2379, 806, 685, 1175, 5874, 585, 2112, 267, 799, 2097, 2066, 607, 18211, 7095, 32531, 663, 720, 538, 1010, 1257, 267, 6742, 1149, 5036, 11735, 6671, 4108, 1686, 540, 11044, 543, 3401, 547, 1397, 519, 1688, 540, 9370, 593, 519, 27998, 543, 27142, 621, 20109, 269, 898, 1071, 518, 1027, 873, 883, 20679, 267, 855, 9370, 685, 10424, 13384, 832, 8959, 547, 11904, 16219, 2628, 543, 7727, 269, 1677, 4009, 6589, 267, 741, 1252, 1023, 3079, 1577, 7980, 10788, 720, 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 ]

[ 0, 1692, 547, 2328, 538, 476, 272, 560, 476, 273, 526, 543, 476, 274, 6113, 1268, 454, 2005, 781, 2808, 1447, 6662, 982, 3791, 1268, 267, 799, 649, 3513, 1865, 2663, 269, 3973, 594, 3580, 581, 9237, 281, 930, 1004, 723, 7411, 31935, 519, 15669, 540, 513, 3791, 1268, 3209, 607, 1557, 3028, 2359, 606, 15865, 267, 5601, 3697, 269, 476, 273, 269, 875, 547, 2328, 538, 476, 272, 560, 476, 273, 526, 543, 476, 274, 6113, 1268, 1283, 12031, 12191, 11049, 7270, 2228, 2904, 476, 2641, 267, 476, 1220, 280, 5788, 634, 2694, 602, 5291, 2517, 4178, 21993, 531, 836, 18182, 332, 582, 601, 2593, 28898, 9706, 619, 24070, 268, 22967, 268, 9690, 17272, 757, 268, 5684, 343, 616, 538, 1101, 1268, 2636, 519, 5467, 547, 2731, 1205, 883, 519, 2247, 540, 667, 12447, 607, 646, 25395, 519, 9814, 540, 1010, 1655, 2828, 1007, 1286, 269, 901, 1826, 540, 1603, 7959, 2123, 547, 519, 5467, 269, 1879, 1603, 538, 519, 2034, 1268, 267, 2232, 519, 5467, 2047, 269, 3967, 476, 2190, 267, 476, 1708, 271, 5788, 3807, 875, 547, 3503, 538, 12059, 12287, 269, 1403, 596, 2811, 875, 547, 2328, 538, 476, 272, 560, 476, 273, 526, 543, 476, 274, 6113, 1268, 1869, 513, 2370, 11821, 827, 1018, 519, 3791, 1268, 1603, 5654, 899, 538, 5708, 267, 1353, 891, 5929, 1806, 543, 4983, 875, 1142, 2278, 20362, 1448, 540, 2070, 269, 2913, 707, 1603, 1397, 513, 3787, 540, 707, 7209, 543, 2141, 2328, 538, 519, 5639, 596, 3717, 269, 3689, 267, 5822, 543, 12059, 12287, 24935, 26505, 5403, 619, 1703, 616, 1079, 2081, 547, 2328, 519, 1482, 3364, 267, 835, 568, 11397, 630, 274, 6113, 264, 543, 835, 568, 2123, 630, 272, 560, 1040, 968, 13553, 1268, 1448, 6361, 268, 1613, 892, 5822, 1268, 1448, 269, 1879, 513, 1268, 11339, 606, 4757, 610, 4484, 267, 610, 11339, 513, 875, 3562, 1433, 267, 646, 2356, 3096, 513, 2034, 1268, 1448, 540, 2070, 3967, 476, 736, 267, 476, 1001, 272, 5788, 769, 21342, 2474, 267, 1101, 1268, 267, 2034, 1268, 267, 543, 3791, 1268, 3277, 547, 2123, 21770, 269, 8347, 547, 1265, 513, 4062, 25166, 1679, 519, 4062, 689, 519, 3791, 1268, 1448, 540, 2070, 269, 634, 3791, 1268, 15669, 568, 7363, 711, 513, 1915, 538, 519, 1650, 269, 26479, 281, 634, 2539, 3368, 540, 513, 1239, 1305, 568, 519, 1305, 540, 782, 2418, 602, 616, 547, 519, 2451, 540, 519, 11667, 1871, 950, 519, 1239, 814, 1044, 2322, 883, 2810, 1931, 5919, 634, 5580, 3368, 540, 513, 1239, 1305, 568, 519, 1305, 540, 782, 2418, 602, 616, 547, 519, 1318, 540, 519, 11667, 1871, 950, 519, 1239, 814, 1044, 2322, 883, 2810, 1931, 5919, 634, 1101, 14415, 850, 267, 20922, 676, 1627, 476, 272, 267, 568, 519, 11667, 540, 563, 763, 29043, 5013, 616, 602, 1082, 6280, 3498, 3594, 5749, 1406, 2731, 1390, 269, 23883, 952, 596, 2328, 538, 519, 1459, 13029, 267, 2034, 1268, 2636, 519, 5467, 547, 1995, 519, 1650, 607, 952, 621, 779, 741, 1378, 269, 6875, 707, 942, 269, 5675, 689, 519, 1101, 16512, 1448, 540, 2070, 630, 594, 267, 649, 16532, 950, 2556, 543, 2067, 267, 568, 7608, 543, 269, 1284, 1175, 1039, 1412, 628, 262, 547, 7141, 2338, 281, 476, 1691, 628, 815, 2185, 18818, 630, 27917, 10117, 1341, 555, 1040, 3967, 476, 6187, 267, 476, 1001, 271, 5788, 1403, 596, 616, 1603, 513, 1957, 4758, 513, 2239, 540, 1018, 596, 616, 3257, 596, 1131, 2328, 621, 538, 519, 476, 272, 560, 1268, 269, 2701, 29167, 12853, 1766, 553, 1169, 12784, 2913, 779, 849, 1491, 513, 2656, 1413, 693, 476, 273, 526, 1268, 269, 634, 1034, 4122, 1031, 2034, 1268, 15749, 568, 596, 267, 875, 547, 2328, 538, 476, 272, 560, 476, 273, 526, 543, 476, 274, 6113, 1268, 1498, 707, 543, 16523, 849, 2034, 1268, 21770, 269, 1717, 267, 1317, 1101, 543, 2034, 1268, 616, 519, 9739, 1031, 1282, 4948, 1272, 267, 621, 568, 2653, 547, 946, 873, 1247, 1603, 269, 634, 29043, 5013, 616, 602, 1082, 6280, 3498, 3594, 5749, 1406, 2731, 1390, 269, 17776, 547, 1022, 6825, 1913, 3967, 476, 2537, 267, 476, 1001, 279, 5788, 2913, 779, 2911, 827, 1603, 538, 3791, 1268, 585, 513, 8792, 267, 607, 513, 1797, 540, 23243, 2034, 689, 3791, 1268, 2239, 269, 1323, 5140, 2852, 2376, 1281, 711, 991, 547, 581, 17890, 269, 1323, 5140, 2852, 2376, 1281, 711, 991, 547, 581, 17890, 269, 901, 1826, 540, 6679, 267, 1141, 519, 16502, 11498, 513, 7874, 1688, 547, 519, 5467, 267, 666, 581, 1360, 2500, 4119, 476, 4905, 267, 2688, 2079, 1557, 6169, 15105, 3028, 575, 321, 476, 1001, 276, 5788, 3117, 540, 1101, 1268, 898, 666, 3280, 30107, 995, 898, 779, 16148, 865, 621, 2306, 3388, 596, 2161, 3280, 16148, 630, 328, 4318, 269, 4460, 891, 1913, 609, 513, 1164, 331, 7660, 610, 4050, 269, 7117, 272, 2328, 513, 4063, 593, 1184, 15657, 2203, 1635, 2469, 883, 519, 3791, 1268, 538, 519, 2034, 851, 267, 519, 5467, 568, 4847, 547, 1246, 519, 1650, 543, 1224, 540, 2621, 602, 667, 12447, 1223, 711, 723, 7654, 1634, 827, 18564, 602, 519, 476, 272, 560, 543, 476, 273, 526, 1268, 21770, 616, 519, 1482, 607, 519, 1463, 1843, 875, 547, 2328, 538, 476, 272, 560, 476, 273, 526, 543, 476, 274, 6113, 1268, 21770, 543, 602, 519, 476, 274, 6113, 1268, 21770, 267, 834, 548, 257, 543, 4179, 2517, 4178, 7456, 714, 23145, 7219, 2593, 270, 15635, 1538, 528, 1242, 11486, 652, 2000, 3438, 1155, 21623, 268, 724, 739, 32392, 1606, 2572, 3766, 321, 834, 956, 257, 798, 711, 5815, 1022, 4008, 269, 2991, 782, 267, 596, 2811, 1603, 513, 26612, 1879, 1101, 1268, 568, 1031, 538, 4081, 1603, 267, 899, 1382, 4574, 11783, 769, 3791, 16512, 1603, 267, 1004, 543, 3197, 616, 5219, 547, 607, 834, 515, 2437, 834, 9917, 2437, 834, 527, 2437, 543, 834, 16269, 21968, 834, 296, 257, 543, 834, 933, 257, 616, 2760, 1031, 630, 684, 1652, 267, 540, 1576, 267, 538, 513, 1463, 10839, 1040, 8191, 281, 634, 5353, 1695, 16017, 19061, 14358, 281, 476, 2764, 298, 3689, 5288, 563, 23612, 1268, 623, 10976, 568, 1031, 950, 707, 15669, 568, 711, 513, 1915, 538, 519, 1650, 269, 1717, 267, 713, 2511, 3884, 1406, 3617, 585, 824, 267, 811, 6101, 11783, 769, 3791, 1268, 1603, 267, 519, 15669, 568, 711, 513, 1915, 538, 519, 1257, 269, 1677, 2697, 799, 835, 568, 1031, 267, 596, 723, 547, 1265, 519, 21770, 538, 519, 4845, 269, 769, 4081, 1603, 267, 519, 3791, 1268, 1448, 875, 547, 2328, 538, 476, 272, 560, 476, 273, 526, 543, 476, 274, 6113, 1268, 540, 2070, 568, 2356, 20501, 543, 2636, 513, 5856, 547, 2097, 2066, 607, 811, 23674, 269, 1411, 991, 547, 6430, 799, 1448, 540, 2070, 596, 3580, 946, 547, 2995, 707, 1650, 1703, 616, 1079, 2081, 547, 2328, 519, 1482, 3364, 267, 835, 568, 11397, 630, 274, 6113, 264, 543, 835, 568, 2123, 630, 272, 560, 1040, 834, 763, 9660, 616, 9553, 257, 568, 1101, 1268, 269, 901, 5133, 568, 519, 5856, 779, 1448, 540, 2070, 267, 543, 519, 5856, 3587, 519, 17122, 1448, 476, 272, 560, 543, 476, 273, 526, 27946, 2207, 281, 941, 2854, 676, 1160, 1529, 639, 623, 529, 334, 1063, 476, 8099, 268, 12893, 9460, 269, 12896, 3901, 673, 12287, 476, 272, 560, 1268, 281, 594, 267, 649, 269, 898, 568, 1271, 547, 1589, 827, 799, 968, 17367, 892, 2306, 519, 1034, 2631, 585, 513, 2016, 7084, 269, 769, 519, 1101, 1268, 1448, 6361, 268, 1613, 267, 596, 2356, 2328, 707, 1957, 689, 707, 1378, 1995, 610, 5133, 269, 1717, 267, 519, 5728, 547, 1390, 22008, 1603, 568, 9427, 519, 946, 540, 21770, 7357, 282, 596, 1810, 1405, 991, 547, 946, 1412, 296, 3299, 1412, 515, 262, 610, 1412, 9917, 262, 1317, 922, 946, 568, 22466, 269, 3767, 972, 616, 1079, 2081, 547, 798, 713, 281, 972, 779, 519, 1259, 1141, 596, 3280, 899, 513, 20868, 269, 9282, 29233, 543, 2776, 9080, 823, 616, 1360, 1454, 10906, 26999, 564, 781, 1650, 267, 519, 15669, 568, 711, 10906, 269, 6423, 3296, 476, 274, 269, 1240, 540, 519, 22910, 15015, 540, 519, 1977, 16723, 5948, 585, 811, 1344, 14905, 12134, 5830, 547, 946, 3742, 5639, 2864, 982, 12809, 5639, 269, 769, 513, 2034, 1268, 1448, 540, 2070, 1603, 610, 9423, 267, 519, 21770, 6140, 1031, 616, 968, 2791, 5608, 968, 7312, 892, 543, 968, 312, 2293, 1848, 1411, 666, 946, 1022, 540, 891, 476, 274, 21770, 865, 602, 596, 666, 2232, 519, 5304, 476, 272, 269, 594, 5206, 281, 834, 2171, 666, 9959, 689, 519, 1239, 602, 713, 568, 711, 2067, 7180, 1701, 269, 808, 28087, 514, 267, 538, 799, 2034, 16512, 568, 1031, 547, 1747, 3845, 1063, 519, 16502, 543, 741, 2833, 267, 10452, 269, 5675, 538, 1101, 1268, 1496, 1153, 1513, 1222, 1557, 1797, 1210, 2123, 21770, 538, 707, 1603, 630, 324, 3052, 269, 1403, 519, 8231, 7475, 538, 9399, 267, 2473, 267, 8863, 267, 15562, 610, 519, 4484, 744, 267, 649, 1039, 1341, 11536, 538, 519, 3791, 1268, 563, 2710, 532, 1945, 585, 1100, 824, 2601, 982, 547, 23666, 568, 519, 21055, 4214, 540, 5910, 3290, 269, 2755, 713, 568, 15502, 950, 1603, 513, 2123, 4484, 267, 621, 568, 711, 15502, 538, 6101, 1603, 267, 2523, 3594, 610, 1382, 4574, 476, 272, 560, 815, 1101, 476, 273, 526, 815, 2034, 476, 274, 6113, 815, 3791, 476, 275, 628, 815, 8772, 476, 276, 628, 815, 325, 604, 628, 269, 6270, 607, 834, 296, 723, 3144, 593, 519, 1909, 540, 22639, 585, 27684, 677, 1676, 14339, 5549, 269, 808, 11070, 292, 281, 729, 2854, 676, 25840, 595, 269, 7994, 513, 3226, 8903, 610, 16609, 6429, 689, 513, 4062, 540, 18340, 596, 723, 5063, 2854, 538, 519, 1101, 1268, 269, 3689, 1268, 281, 834, 296, 1589, 17283, 568, 1360, 967, 1815, 529, 633, 4924, 476, 2767, 267, 476, 1001, 278, 5788, 1879, 596, 3643, 513, 3896, 267, 596, 616, 540, 1576, 28507, 676, 519, 3135, 3294, 267, 855, 596, 616, 849, 28507, 676, 3791, 18407, 3950, 619, 602, 519, 3135, 2377, 2644, 538, 922, 3009, 269, 5822, 1268, 27605, 519, 5467, 883, 519, 2962, 269, 12344, 789, 2461, 10213, 513, 1650, 689, 741, 2250, 267, 610, 6148, 789, 2461, 4758, 596, 741, 6644, 269, 5675, 538, 875, 547, 2328, 538, 476, 272, 560, 476, 273, 526, 543, 476, 274, 6113, 1268, 2034, 1268, 281, 769, 1875, 27395, 1603, 267, 513, 10584, 786, 1419, 6467, 1063, 21770, 269, 14358, 281, 476, 6246, 298, 1496, 14457, 316, 20593, 1154, 689, 3689, 543, 5822, 547, 12059, 12287, 4179, 2517, 4178, 274, 6155, 25975, 12975, 270, 17703, 322, 7933, 665, 3701, 270, 3519, 31844, 5575, 4107, 1603, 10467, 693, 519, 2852, 1377, 1058, 581, 2854, 538, 3791, 1268, 8259, 6382, 9138, 676, 519, 7548, 269, 1411, 666, 1205, 602, 676, 2542, 519, 3105, 2376, 593, 12059, 12287, 21931, 7869, 269, 12059, 12287, 1923, 12891, 5112, 5675, 4741, 4179, 2517, 8586, 22487, 269, 1662, 5112, 12975, 11721, 1009, 8686, 338, 21017, 16512, 14288, 4574, 630, 2750, 6570, 267, 6431, 340, 5235, 267, 543, 3194, 14430, 264, 1058, 3622, 581, 2854, 538, 3791, 1268, 267, 543, 946, 23674, 4081, 2959, 547, 1489, 707, 4661, 2864, 982, 17548, 707, 1378, 2123, 4978, 269, 476, 272, 269, 834, 763, 9660, 616, 741, 338, 2437, 585, 1383, 267, 568, 2854, 538, 519, 3791, 1268, 269, 12059, 1268, 623, 10976, 568, 1031, 950, 707, 15669, 568, 711, 513, 1915, 538, 519, 1650, 269, 0, 1692, 14055, 666, 948, 585, 645, 2720, 4345, 454, 20091, 5384, 476, 272, 269, 276, 12664, 268, 273, 268, 276, 12664, 630, 24523, 693, 519, 5377, 994, 4131, 779, 1413, 693, 875, 14055, 666, 948, 585, 645, 2720, 4345, 563, 289, 2720, 4345, 568, 513, 11213, 2783, 538, 799, 519, 11435, 267, 610, 5485, 338, 4904, 609, 5714, 1472, 519, 10549, 2220, 749, 269, 645, 4711, 616, 1271, 585, 1697, 4745, 1599, 267, 607, 789, 948, 873, 1847, 20354, 1247, 31289, 532, 28844, 267, 7633, 543, 28587, 607, 789, 1847, 269, 645, 2720, 4345, 666, 979, 2476, 593, 922, 1378, 267, 855, 513, 536, 2720, 4345, 4323, 666, 2014, 1928, 267, 11926, 267, 4389, 2039, 540, 5163, 267, 543, 10688, 2042, 563, 289, 2720, 4345, 568, 2356, 519, 1267, 540, 7050, 946, 540, 513, 4745, 267, 855, 621, 666, 849, 581, 3361, 676, 8194, 563, 289, 2720, 4345, 568 ]

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

[ 518, 912, 20877, 586, 815, 476, 273, 343, 266, 272, 543, 586, 815, 476, 11025, 343, 266, 272, 593, 707, 24275, 9498, 269, 28652, 538, 543, 1265, 519, 1448, 454, 1993, 10167, 269, 16294, 1448, 540, 10167, 780, 11405, 912, 288, 1448, 540, 10167, 568, 606, 10288, 6292, 602, 568, 513, 3070, 585, 1312, 4834, 780, 12244, 1384, 27949, 371, 567, 16294, 12825, 3830, 607, 1022, 3830, 538, 799, 513, 4756, 5526, 538, 519, 20800, 454, 663, 723, 1053, 1865, 513, 1505, 585, 6061, 519, 13852, 2590, 518, 2555, 21154, 563, 15744, 502, 4841, 723, 513, 2352, 942, 1620, 602, 513, 1448, 540, 10167, 568, 513, 3838, 1535, 454, 663, 586, 24033, 511, 7407, 282, 4061, 267, 547, 4194, 585, 513, 1448, 540, 10167, 2555, 21154, 267, 519, 1053, 454, 29019, 4194, 519, 1305, 540, 4834, 8195, 267, 2495, 1305, 586, 815, 476, 273, 343, 266, 272, 543, 586, 815, 476, 11025, 343, 266, 272, 454, 16029, 547, 1142, 824, 267, 476, 273, 343, 266, 272, 815, 476, 11025, 343, 266, 272, 543, 4194, 585, 1535, 563, 15744, 502, 1358, 1058, 1020, 519, 3959, 267, 26089, 3478, 519, 1482, 3490, 543, 4259, 519, 454, 10339, 7859, 3160, 547, 1142, 824, 563, 11405, 912, 273, 343, 266, 272, 815, 476, 11025, 343, 266, 272, 454, 273, 343, 266, 272, 815, 630, 2537, 264, 273, 343, 266, 272, 454, 273, 343, 266, 272, 815, 476, 2918, 343, 266, 274, 454, 273, 454, 22933, 506, 1535, 1341, 476, 272, 815, 476, 277, 343, 1341, 476, 274, 17986, 508, 1535, 23880, 12865, 511, 454, 276, 692, 27949, 371, 567, 2422, 519, 3959, 1657, 547, 4194, 519, 1739, 4834, 269, 476, 274, 343, 266, 273, 815, 476, 10844, 343, 454, 263, 272, 264, 476, 274, 1700, 343, 815, 476, 10037, 692, 31580, 4083, 27949, 363, 16215, 476, 277, 27949, 363, 22091, 11228, 543, 8298, 15162, 6193, 12793, 14030, 476, 476, 14530, 454, 299, 537, 529, 10005, 18043, 15099, 267, 4860, 2213, 476, 1220, 279, 692, 343, 31609, 272, 1038, 1535, 454, 15744, 355, 476, 274, 15744, 370, 567, 17986, 355, 476, 2767, 17986, 370, 454, 263, 273, 264, 567, 17986, 356, 17986, 371, 23880, 15744, 356, 17986, 371, 454, 15744, 357, 273, 15744, 372, 825, 17986, 357, 476, 279, 17986, 372, 454, 263, 274, 264, 567, 476, 279, 343, 815, 476, 275, 454, 343, 454, 15744, 355, 476, 272, 17986, 370, 454, 263, 275, 264, 567, 17986, 356, 17986, 371, 23880, 476, 10037, 454, 15744, 357, 476, 2767, 17986, 372, 454, 273, 14030, 476, 273, 2018, 476, 275, 454, 22069, 1903, 281, 630, 272, 264, 1535, 23880, 476, 2073, 630, 273, 264, 1535, 815, 1107, 275, 267, 630, 274, 264, 1535, 815, 476, 16006, 267, 630, 275, 264, 1535, 23880, 2073, 630, 276, 264, 1535, 23880, 12865, 511, 454, 274, 14030, 476, 274, 2018, 476, 274, 454, 27949, 371, 567, 25849, 1039, 339, 1308, 2042, 689, 519, 2979, 1837, 780, 27949, 371, 567, 11879, 15154, 5675, 10495, 281, 630, 8450, 11314, 4149, 24594, 8178, 906, 693, 1439, 540, 1770, 24355, 12244, 476, 277, 281, 769, 2091, 12793, 543, 8298, 15162, 6193, 12793, 630, 294, 4041, 338, 281, 6103, 476, 280, 281, 476, 275, 267, 476, 3374, 267, 476, 3607, 3248, 22706, 476, 1556, 270, 1321, 281, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 279, 267, 476, 1839, 267, 476, 2767, 2020, 29605, 5903, 281, 1957, 267, 15513, 267, 3113, 1957, 267, 24275, 9498, 692, 1103, 713, 2534, 267, 1053, 786, 2689, 519, 1523, 540, 11201, 3252, 538, 1931, 547, 1020, 519, 454, 8421, 15162, 6193, 1599, 799, 568, 519, 11201, 540, 606, 12825, 1599, 780, 13043, 8298, 13852, 2590, 518, 912, 273, 454, 263, 272, 264, 4855, 519, 6389, 543, 2039, 540, 535, 630, 1535, 264, 23880, 454, 343, 31609, 272, 454, 273, 454, 263, 273, 264, 4855, 519, 11201, 535, 1700, 272, 3287, 264, 540, 535, 630, 1535, 264, 23880, 25639, 543, 1533, 922, 6389, 543, 2039, 563, 343, 31609, 272, 454, 263, 274, 264, 9181, 1018, 596, 3314, 827, 11201, 3252, 563, 22069, 1903, 912, 263, 272, 264, 667, 281, 1535, 9881, 510, 12865, 511, 272, 267, 681, 281, 586, 9881, 510, 476, 271, 454, 273, 24033, 511, 1535, 454, 263, 273, 264, 535, 12865, 511, 272, 12865, 357, 1535, 12865, 358, 23880, 1363, 667, 281, 1535, 9881, 510, 476, 271, 267, 681, 281, 586, 9881, 510, 12865, 511, 272, 454, 343, 454, 263, 274, 264, 634, 1053, 1058, 5352, 891, 6898, 912, 334, 9502, 281, 535, 24033, 511, 272, 3287, 264, 568, 606, 11201, 1599, 540, 535, 3287, 264, 952, 543, 1152, 952, 454, 325, 12865, 357, 535, 12865, 511, 272, 12865, 357, 1535, 12865, 358, 12865, 358, 23880, 535, 12865, 511, 272, 12865, 357, 535, 12865, 357, 1535, 12865, 358, 12865, 358, 23880, 1535, 4586, 334, 1411, 1265, 519, 11201, 540, 513, 1599, 676, 2220, 6260, 519, 1535, 543, 586, 543, 6061, 454, 1721, 586, 563, 334, 634, 11708, 540, 513, 1599, 543, 922, 11201, 616, 21136, 936, 519, 1899, 454, 344, 815, 1535, 563, 334, 1411, 23396, 519, 11890, 543, 9832, 563, 334, 769, 782, 10288, 8424, 267, 519, 2612, 322, 20811, 543, 3921, 3729, 616, 2220, 11474, 563, 334, 1403, 606, 11201, 6935, 568, 2469, 547, 581, 606, 11201, 1599, 267, 1287, 519, 454, 13092, 1599, 1590, 723, 513, 835, 24033, 511, 1729, 24033, 511, 821, 19359, 780, 31580, 4083, 27949, 363, 16215, 476, 277, 27949, 363, 22091, 11228, 543, 8298, 15162, 6193, 12793, 4449, 13376, 476, 15171, 454, 299, 537, 529, 10005, 18043, 15099, 267, 4860, 2213, 476, 1220, 279, 692, 334, 1411, 666, 2995, 952, 606, 11201, 6935, 568, 2469, 547, 581, 606, 11201, 1599, 454, 5228, 519, 3113, 952, 519, 3312, 1599, 10596, 1312, 519, 7299, 543, 454, 1817, 714, 7267, 1899, 1449, 780, 12244, 1384, 27949, 371, 567, 5623, 519, 2035, 540, 606, 11201, 1599, 689, 5149, 476, 272, 267, 11314, 476, 1321, 267, 543, 723, 519, 454, 29324, 2259, 4466, 606, 11201, 1599, 593, 519, 1739, 1966, 912, 263, 272, 264, 8890, 21154, 1265, 519, 11201, 540, 535, 3287, 264, 815, 1535, 273, 1341, 476, 274, 593, 519, 11658, 6389, 1535, 3436, 476, 271, 454, 24033, 357, 1038, 12865, 358, 454, 263, 273, 264, 28171, 789, 616, 538, 951, 525, 1210, 519, 4214, 535, 535, 12865, 511, 272, 12865, 357, 1535, 12865, 358, 23880, 535, 12865, 511, 272, 12865, 357, 535, 12865, 357, 1535, 12865, 358, 12865, 358, 23880, 1535, 454, 24033, 511, 272, 454, 263, 274, 264, 1548, 568, 519, 6389, 543, 2039, 540, 535, 3287, 264, 543, 535, 630, 343, 25145, 263, 275, 264, 8641, 1312, 676, 1688, 593, 519, 1482, 3113, 21458, 1535, 24033, 511, 543, 586, 24033, 511, 5793, 32383, 563, 263, 276, 264, 8641, 519, 1899, 586, 815, 1535, 593, 519, 1482, 3113, 543, 12398, 835, 6292, 540, 2798, 602, 616, 454, 22131, 13240, 2066, 519, 1899, 586, 815, 1535, 563, 263, 277, 264, 4208, 568, 519, 6389, 540, 535, 3287, 264, 11658, 2496, 11405, 912, 263, 272, 264, 535, 12865, 511, 272, 12865, 357, 1535, 12865, 358, 23880, 1535, 12865, 511, 476, 274, 692, 24033, 357, 16875, 12865, 358, 4449, 23526, 12865, 357, 4449, 8587, 12865, 358, 454, 273, 454, 263, 273, 264, 11434, 1535, 12865, 511, 274, 19930, 31609, 476, 274, 23880, 1535, 273, 31609, 476, 274, 12865, 511, 476, 274, 23880, 1535, 1038, 1535, 273, 23880, 1535, 952, 1535, 25104, 367, 476, 271, 454, 263, 274, 264, 535, 3287, 2567, 6389, 1535, 3436, 476, 271, 267, 2039, 586, 3436, 476, 274, 267, 535, 24033, 511, 272, 3287, 2567, 6389, 1535, 3436, 476, 274, 267, 2039, 586, 3436, 476, 271, 692, 263, 275, 264, 23351, 586, 24033, 511, 18448, 540, 535, 3287, 264, 568, 630, 271, 267, 476, 274, 1070, 1535, 24033, 511, 5793, 1061, 540, 535, 24033, 511, 272, 3287, 264, 568, 630, 274, 267, 476, 271, 2020, 263, 276, 264, 4449, 567, 18103, 1229, 8424, 949, 4268, 563, 24033, 511, 272, 454, 325, 263, 273, 264, 815, 476, 278, 267, 535, 630, 278, 264, 815, 476, 273, 454, 263, 277, 264, 535, 3287, 264, 1131, 711, 723, 513, 835, 24033, 511, 1729, 24033, 511, 821, 454, 14585, 22046, 775, 543, 519, 11201, 1131, 711, 454, 2041, 513, 1599, 780, 27949, 371, 567, 12315, 519, 1053, 3113, 1957, 543, 723, 873, 3605, 519, 454, 514, 2091, 540, 519, 12825, 1599, 538, 519, 1739, 6073, 912, 15744, 502, 8641, 535, 3287, 264, 815, 476, 273, 343, 12297, 1154, 519, 8880, 29297, 1774, 676, 1688, 454, 663, 6003, 519, 10288, 8424, 693, 1535, 815, 12865, 511, 273, 267, 12865, 511, 272, 267, 476, 271, 267, 476, 272, 267, 476, 273, 267, 476, 274, 780, 31580, 4083, 27949, 363, 16215, 476, 277, 27949, 363, 22091, 11228, 543, 8298, 15162, 6193, 12793, 14030, 25639, 476, 15836, 454, 299, 537, 529, 10005, 18043, 15099, 267, 4860, 2213, 476, 1220, 279, 692, 15744, 502, 454, 15744, 502, 1772, 713, 1599, 513, 835, 24033, 511, 1729, 24033, 511, 821, 19359, 888, 263, 11405, 281, 9811, 267, 4061, 606, 11201, 1599, 1590, 2291, 2020, 15744, 502, 8641, 586, 815, 1535, 593, 519, 1482, 3113, 543, 2721, 519, 11201, 454, 10818, 676, 28321, 10288, 8424, 593, 519, 11201, 543, 454, 25346, 1154, 519, 7299, 29297, 1774, 269, 9181, 519, 3113, 540, 519, 454, 514, 2091, 1107, 6389, 267, 2039, 267, 2810, 543, 13302, 2676, 5793, 32383, 267, 543, 29297, 1774, 780, 15744, 502, 2201, 519, 9498, 3113, 586, 272, 815, 476, 273, 343, 543, 586, 273, 815, 1535, 269, 2422, 519, 454, 20412, 1807, 1599, 267, 2098, 302, 6865, 267, 476, 276, 281, 313, 306, 13645, 269, 8571, 519, 3113, 540, 454, 1492, 11201, 593, 24275, 9498, 630, 476, 273, 526, 2073, 1496, 291, 6938, 310, 3910, 630, 629, 913, 454, 11266, 14875, 16532, 476, 279, 281, 8571, 1103, 341, 267, 966, 12678, 2073, 962, 24033, 511, 309, 12678, 267, 476, 272, 281, 31262, 267, 476, 272, 281, 312, 272, 6393, 27949, 371, 567, 5620, 1053, 2119, 547, 1265, 519, 11201, 540, 586, 815, 476, 273, 343, 2555, 21154, 676, 454, 1873, 6260, 1535, 543, 586, 543, 12394, 547, 20586, 586, 563, 15744, 502, 2422, 713, 4901, 547, 5581, 30233, 543, 922, 2078, 454, 1729, 23055, 281, 2845, 9346, 815, 524, 952, 543, 1152, 952, 27652, 815, 513, 454, 15744, 502, 2422, 519, 4214, 547, 27682, 2845, 2764, 815, 476, 274, 607, 606, 12825, 3830, 269, 630, 11405, 281, 476, 2537, 815, 476, 279, 994, 15744, 502, 4855, 2845, 30589, 676, 3206, 28354, 281, 968, 276, 6659, 547, 1018, 1379, 815, 476, 1839, 18313, 263, 11405, 281, 476, 7367, 815, 476, 1839, 4061, 2845, 30589, 815, 476, 273, 994, 15744, 502, 16294, 1455, 30233, 607, 30233, 609, 3490, 476, 1015, 538, 799, 519, 3490, 568, 6956, 912, 325, 3287, 264, 815, 2845, 1535, 269, 634, 9498, 1152, 9060, 2845, 3490, 476, 1015, 269, 2201, 519, 9498, 267, 723, 519, 454, 29324, 2098, 302, 6865, 12384, 543, 3113, 586, 272, 815, 476, 1015, 343, 267, 586, 273, 815, 2845, 1535, 267, 586, 274, 815, 1535, 547, 1294, 602, 586, 272, 543, 586, 273, 616, 454, 22131, 13240, 2066, 519, 1899, 586, 815, 1535, 780, 15744, 502, 5620, 519, 1053, 1265, 2845, 476, 1911, 1510, 513, 9498, 630, 11405, 281, 2845, 476, 1911, 815, 476, 273, 1317, 454, 9083, 815, 476, 1911, 264, 543, 946, 519, 4214, 540, 30233, 547, 6218, 519, 1739, 32568, 454, 10339, 11306, 269, 5620, 1053, 2328, 968, 20357, 892, 543, 519, 12825, 6697, 1310, 1142, 454, 2889, 12378, 912, 263, 272, 264, 2845, 24423, 276, 454, 263, 273, 264, 2845, 476, 271, 269, 9826, 454, 263, 274, 264, 2845, 476, 272, 476, 1626, 454, 275, 454, 263, 276, 264, 2845, 4343, 272, 454, 263, 277, 264, 2845, 476, 274, 476, 24374, 454, 22069, 1903, 912, 263, 272, 264, 2845, 24423, 276, 815, 476, 274, 1317, 476, 7871, 815, 10219, 454, 263, 273, 264, 2845, 1547, 9826, 815, 12865, 511, 274, 1317, 476, 1015, 24033, 511, 274, 815, 1547, 9826, 692, 31580, 4083, 27949, 363, 16215, 476, 277, 27949, 363, 22091, 11228, 543, 8298, 15162, 6193, 12793, 4449, 23526, 476, 16328, 454, 299, 537, 529, 10005, 18043, 15099, 267, 4860, 2213, 476, 1220, 279, 692, 24033, 511, 273, 454, 15744, 355, 272, 15744, 370, 454, 263, 274, 264, 2845, 476, 272, 476, 1626, 23880, 12865, 511, 273, 1317 ]

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

[ 336, 2676, 334, 9364, 320, 268, 265, 262, 535, 28260, 339, 10623, 262, 535, 515, 317, 267, 256, 512, 865, 2433, 552, 0, 763, 12285, 7952, 540, 24918, 286, 17954, 1136, 5240, 454, 763, 5892, 7164, 1650, 540, 606, 7952, 540, 5159, 945, 5280, 3013, 3094, 2622, 2782, 5565, 568, 1373, 5143, 538, 513, 1007, 17245, 267, 6029, 875, 519, 5159, 1031, 741, 15421, 547, 834, 1584, 835, 936, 257, 593, 519, 21647, 563, 292, 26663, 32732, 4458, 2025, 10793, 631, 848, 344, 781, 7952, 2816, 1282, 2622, 2782, 4083, 729, 547, 9514, 1919, 909, 269, 1809, 711, 519, 1259, 835, 1522, 1589, 563, 19285, 729, 538, 519, 12285, 7952, 607, 594, 1572, 621, 269, 634, 4870, 23534, 7952, 2437, 1767, 10793, 631, 848, 344, 563, 1103, 476, 3707, 275, 267, 631, 848, 344, 729, 513, 476, 866, 4458, 6040, 14971, 7376, 945, 9364, 1175, 1044, 31751, 547, 4339, 519, 21647, 563, 763, 7952, 1185, 1175, 519, 2816, 585, 1864, 269, 631, 848, 344, 781, 1770, 1185, 513, 5692, 281, 547, 13587, 633, 519, 16586, 883, 3206, 20466, 4229, 941, 538, 835, 4087, 267, 1247, 1483, 772, 2529, 269, 10136, 4359, 5195, 2476, 563, 5445, 2968, 1634, 607, 834, 763, 26415, 8136, 2437, 513, 8536, 5159, 267, 9858, 543, 8301, 23390, 1210, 24738, 543, 4992, 547, 5918, 701, 519, 10546, 19601, 1260, 906, 13324, 676, 2598, 638, 338, 454, 268, 10830, 776, 22735, 779, 476, 274, 7521, 12644, 2451, 519, 11686, 5859, 538, 21219, 454, 268, 3767, 15212, 590, 904, 898, 4024, 6145, 569, 4414, 30472, 13609, 781, 5600, 267, 3502, 570, 792, 898, 13560, 454, 268, 2368, 561, 2393, 539, 16740, 12221, 2817, 7467, 13742, 759, 16577, 267, 12556, 540, 1866, 513, 9814, 9624, 2048, 628, 337, 1516, 3109, 2344, 4123, 20371, 268, 1772, 519, 19901, 11038, 10466, 13163, 13338, 888, 268, 15724, 281, 7085, 3317, 10118, 18418, 2299, 991, 547, 5642, 909, 593, 519, 1686, 540, 25399, 454, 268, 6496, 519, 1412, 293, 1430, 262, 540, 519, 476, 3707, 279, 23532, 7581, 753, 532, 21931, 26419, 21763, 547, 5589, 656, 3571, 9293, 888, 268, 7665, 645, 2393, 6499, 547, 917, 968, 6343, 519, 22946, 5949, 547, 1250, 17044, 9549, 24350, 268, 20271, 894, 12206, 1996, 11686, 1129, 513, 21936, 9963, 646, 9364, 581, 5906, 454, 268, 18148, 670, 269, 7054, 9109, 715, 3139, 29314, 295, 15445, 15503, 454, 268, 16024, 1014, 667, 10005, 681, 877, 344, 7137, 787, 9299, 2478, 4674, 547, 2132, 519, 15693, 540, 14844, 25306, 547, 1010, 1920, 0, 2421, 13100, 704, 17755, 578, 514, 267, 634, 11545, 2701, 788, 548, 912, 292, 1755, 11985, 267, 513, 808, 990, 1014, 7599, 519, 26931, 6611, 23571, 814, 5329, 606, 3750, 593, 2094, 476, 1001, 273, 267, 949, 723, 513, 7449, 16577, 5836, 593, 621, 3744, 1631, 3494, 269, 1280, 519, 2250, 2185, 1296, 267, 789, 723, 1044, 11287, 2520, 903, 619, 21074, 532, 856, 540, 16402, 11985, 779, 5045, 15393, 3006, 909, 547, 476, 6344, 5195, 883, 2230, 563, 3086, 8331, 568, 8066, 513, 2027, 10554, 538, 1769, 540, 968, 31162, 19828, 2963, 540, 2534, 892, 538, 14621, 547, 513, 1761, 7449, 16577, 5836, 593, 519, 7599, 799, 3744, 5462, 4505, 713, 1032, 814, 513, 2147, 3114, 5888, 547, 519, 12084, 593, 3047, 269, 3767, 602, 519, 2520, 903, 619, 616, 9846, 8345, 267, 8331, 4566, 547, 6108, 1269, 1911, 2929, 547, 10131, 513, 16785, 2250, 16402, 11985, 28069, 538, 519, 476, 1708, 271, 338, 547, 23754, 2436, 610, 711, 11517, 5439, 666, 581, 5833, 998, 513, 8038, 2421, 630, 337, 1430, 982, 519, 29882, 17656, 1184, 789, 2899, 5156, 1131, 581, 2556, 547, 23309, 16402, 11985, 779, 13792, 2627, 563, 2171, 1810, 1406, 1256, 917, 1018, 779, 2469, 593, 1524, 1934, 269, 5808, 6487, 1018, 779, 2731, 2469, 593, 856, 972, 563, 8923, 1246, 590, 28566, 7797, 593, 12108, 1299, 948, 2671, 519, 5048, 269, 0, 1993, 1523, 1646, 538, 2474, 540, 513, 15796, 540, 1620, 3989, 607, 1702, 267, 8223, 543, 3498, 269, 3267, 1323, 8097, 1895, 540, 476, 14056, 11359, 3446, 10453, 4718, 519, 8874, 543, 729, 7318, 1247, 513, 1852, 1895, 540, 476, 2004, 11359, 3446, 10453, 729, 3267, 11683, 4681, 941, 281, 476, 272, 264, 5262, 2159, 625, 538, 18570, 6659, 22027, 607, 547, 519, 7145, 540, 971, 11008, 1436, 269, 3267, 14496, 540, 519, 8760, 10325, 4843, 538, 519, 12525, 16860, 540, 12409, 20505, 267, 18361, 594, 281, 15465, 23792, 563, 347, 17138, 1475, 10573, 2304, 7634, 883, 519, 3347, 1063, 2035, 540, 3196, 25189, 543, 15657, 607, 8612, 676, 3446, 2157, 2008, 347, 12041, 1475, 10573, 1805, 534, 2917, 700, 269, 4477, 2471, 517, 347, 0, 299, 16336, 610, 1732, 1634, 607, 519, 2165, 924, 568, 835, 3063, 544, 752, 3570, 585, 5017, 669, 597, 4771, 269, 24538, 338, 602, 5526, 693, 21554, 568, 513, 1129, 602, 519, 24925, 4005, 814, 2097, 269, 14755, 6225, 547, 5017, 669, 597, 4771, 267, 29700, 666, 849, 581, 10057, 676, 3425, 269, 3509, 1004, 945, 946, 29700, 607, 519, 1292, 12146, 538, 1818, 513, 7202, 1315, 24113, 28221, 267, 1317, 621, 781, 849, 3833, 17705, 269, 4270, 596, 917, 1018, 29700, 2640, 585, 5017, 669, 597, 4771, 286, 2201, 713, 8317, 649, 786, 1865, 621, 585, 596, 547, 1224, 563, 299, 16336, 568, 519, 23009, 2670, 540, 513, 2165, 924, 9566, 538, 519, 3037, 269, 700, 16336, 568, 835, 1826, 540, 5521, 602, 2270, 2614, 3940, 267, 543, 1970, 538, 3170, 269, 901, 1576, 568, 5078, 2016, 547, 519, 5017, 669, 597, 4771, 707, 4620, 267, 865, 602, 519, 5017, 7850, 9422, 6981, 269, 5221, 789, 2408, 1152, 538, 519, 24925, 4005, 267, 621, 568, 711, 16613, 547, 1082, 1004, 946, 621, 269, 1306, 513, 26259, 267, 723, 596, 2938, 519, 1007, 29700, 856, 540, 519, 9566, 13351, 676, 930, 5017, 286, 1280, 1383, 1710, 2583, 267, 2220, 718, 3298, 267, 543, 865, 8521, 269, 898, 2982, 602, 789, 630, 18346, 264, 899, 29700, 607, 741, 1426, 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 ]

[ 0, 17445, 13334, 3095, 281, 4179, 2517, 344, 719, 340, 269, 2041, 22077, 326, 336, 322, 274, 309, 278, 320, 292, 21397, 454, 9223, 281, 4208, 1281, 1250, 1239, 723, 476, 2568, 670, 1068, 345, 630, 528, 476, 2004, 670, 1068, 345, 264, 19589, 543, 2800, 9582, 630, 8201, 476, 272, 25145, 8201, 476, 272, 281, 23893, 6482, 4087, 9715, 593, 1449, 1843, 693, 1079, 1114, 2053, 269, 634, 2699, 7455, 1185, 2666, 17787, 1459, 1247, 519, 4544, 7455, 1705, 711, 563, 12585, 281, 5556, 17894, 256, 1411, 1522, 723, 513, 968, 3033, 8520, 892, 2336, 763, 5201, 538, 513, 3774, 17752, 13333, 693, 476, 2568, 670, 1068, 345, 630, 514, 519, 2136, 2276, 264, 610, 476, 2004, 670, 1068, 345, 630, 514, 2342, 1040, 1403, 707, 6482, 1062, 543, 1098, 3027, 619, 616, 711, 5265, 9678, 689, 5122, 1379, 2959, 267, 891, 12451, 666, 8764, 622, 519, 6482, 1239, 563, 2690, 1383, 267, 5122, 12526, 666, 581, 3361, 676, 13590, 13779, 950, 513, 1379, 10814, 568, 18413, 2673, 547, 606, 5787, 10309, 10814, 269, 2107, 24638, 8279, 1522, 16578, 6850, 18878, 13779, 593, 14605, 9678, 12904, 563, 3719, 1776, 2014, 568, 1945, 1572, 513, 968, 3033, 8520, 6100, 769, 513, 2666, 8520, 267, 519, 6482, 1062, 543, 8596, 616, 16135, 693, 2789, 2798, 269, 5221, 972, 568, 811, 982, 835, 2666, 1448, 267, 5122, 18063, 666, 2095, 1063, 519, 1079, 12406, 543, 8764, 622, 519, 6482, 6786, 609, 5122, 6846, 563, 2304, 1383, 540, 513, 2666, 8520, 568, 3254, 538, 7612, 476, 273, 563, 8201, 476, 273, 281, 16140, 8520, 568, 3361, 1317, 972, 616, 1079, 10092, 547, 2666, 538, 6482, 1062, 563, 763, 6482, 543, 9300, 1062, 814, 1079, 10092, 547, 2666, 912, 763, 5787, 10309, 9300, 814, 1463, 4496, 547, 4496, 3346, 609, 519, 16135, 1449, 1843, 269, 901, 2636, 5201, 547, 2095, 547, 543, 689, 519, 2497, 2666, 563, 763, 14662, 4696, 3008, 4395, 754, 568, 726, 28289, 883, 2666, 540, 519, 5122, 1292, 338, 1379, 630, 773, 267, 519, 3774, 17752, 1916, 2414, 2057, 519, 2666, 8520, 267, 835, 540, 519, 10092, 1590, 581, 30890, 689, 2666, 269, 1703, 1058, 1152, 581, 835, 2619, 547, 2666, 585, 519, 3003, 1062, 563, 1432, 666, 581, 2944, 888, 2467, 616, 1079, 1919, 602, 666, 581, 2944, 630, 514, 1931, 540, 2956, 264, 547, 2057, 513, 2666, 8520, 912, 763, 1655, 3070, 568, 1118, 2386, 519, 8596, 616, 9678, 689, 519, 1449, 2497, 267, 865, 602, 972, 568, 1100, 7872, 540, 5122, 2095, 1063, 873, 269, 901, 666, 581, 2944, 676, 29780, 606, 10072, 14950, 1063, 519, 1449, 1843, 543, 5787, 10309, 607, 3254, 538, 7612, 476, 274, 563, 8201, 476, 274, 281, 634, 2666, 8520, 568, 7745, 676, 1210, 606, 10072, 14950, 547, 5094, 519, 5787, 10309, 543, 1449, 1843, 563, 7197, 5787, 10309, 9755, 849, 1118, 10072, 21181, 607, 3254, 538, 7612, 476, 275, 563, 8201, 476, 275, 281, 24665, 10309, 609, 10072, 14950, 630, 9008, 1070, 5787, 10309, 1510, 10072, 14950, 630, 321, 18847, 994, 1607, 5849, 972, 568, 1152, 835, 2619, 547, 2666, 585, 519, 2347, 6482, 1062, 563, 3674, 565, 730, 20970, 3590, 454, 2252, 1082, 8596, 941, 15841, 2047, 609, 4496, 547, 4496, 3346, 547, 519, 1449, 1843, 267, 621, 1522, 581, 942, 10438, 547, 3888, 10072, 21181, 563, 288, 2656, 1449, 547, 3313, 952, 513, 2666, 8520, 2783, 6818, 568, 547, 1491, 5413, 540, 519, 3710, 2987, 6007, 540, 519, 14662, 4696, 3008, 8800, 269, 634, 14662, 4696, 3008, 666, 581, 796, 680, 28289, 689, 519, 3774, 17752, 8276, 1622, 5201, 543, 2196, 593, 6007, 269, 901, 31028, 338, 519, 14662, 4696, 3008, 689, 2666, 607, 3254, 538, 7612, 476, 276, 563, 8201, 476, 276, 281, 1635, 796, 680, 19982, 519, 14662, 4696, 3008, 689, 519, 3774, 17752, 630, 19491, 3740, 1292, 338, 1070, 835, 2619, 547, 2666, 568, 6569, 689, 519, 6482, 1062, 563, 2691, 3257, 547, 267, 952, 519, 476, 2568, 670, 1068, 345, 630, 528, 476, 2004, 670, 1068, 345, 264, 5122, 6846, 4422, 2476, 267, 1287, 972, 568, 513, 2666, 8520, 3390, 269, 1403, 519, 6007, 5279, 568, 7850, 267, 519, 6482, 666, 1256, 581, 5340, 269, 19227, 267, 519, 8596, 991, 547, 581, 9678, 689, 519, 1449, 1843, 563, 2690, 811, 1344, 267, 1294, 519, 11310, 9137, 834, 1692, 7043, 2052, 3244, 22487, 14662, 4696, 3008, 14840, 593, 23996, 8119, 563, 288, 3787, 23349, 1505, 547, 2736, 519, 2619, 547, 2666, 585, 519, 14662, 4696, 3008, 1131, 581, 547, 20586, 610, 9004, 519, 27733, 11690, 630, 8201, 476, 277, 2187, 8201, 476, 277, 281, 26332, 3729, 27733, 11690, 563, 1607, 2636, 519, 14662, 4696, 3008, 1770, 547, 1869, 4309, 1379, 855, 23352, 519, 2619, 547, 2666, 269, 901, 1522, 581, 3730, 585, 8596, 602, 3112, 581, 9678, 689, 519, 1449, 1843, 563, 307, 709, 7632, 327, 17415, 513, 16140, 31230, 454, 9616, 602, 30076, 971, 513, 2666, 8520, 666, 581, 2352, 563, 2690, 1383, 267, 952, 1210, 13520, 779, 14589, 1570, 547, 4410, 519, 5787, 10309, 593, 519, 1449, 2497, 267, 4470, 593, 875, 17401, 519, 5787, 10309, 568, 20399, 267, 519, 13520, 779, 14589, 1522, 1683, 513, 1978, 4110, 540, 10072, 630, 2775, 2604, 1070, 610, 1100, 10072, 630, 335, 5962, 16119, 1040, 901, 666, 581, 7138, 1782, 607, 519, 5122, 6846, 666, 968, 2492, 543, 979, 892, 936, 519, 942, 8653, 540, 513, 1449, 563, 10214, 519, 1297, 540, 5787, 18852, 666, 581, 1883, 1107, 519, 811, 5787, 18852, 2047, 15841, 593, 519, 1449, 2497, 267, 519, 1732, 519, 27733, 543, 5122, 2095, 563, 28775, 2685, 267, 713, 2376, 3947, 930, 2949, 5583, 593, 875, 547, 5431, 713, 3390, 543, 23676, 2393, 621, 269, 0, 305, 12011, 1794, 267, 6508, 689, 519, 14655, 2262, 2048, 686, 344, 5953, 21681, 491, 13682, 333, 8730, 568, 513, 2165, 4122, 1031, 538, 4095, 8106, 2575, 269, 898, 4016, 547, 519, 2259, 610, 31667, 531, 540, 13047, 610, 15747, 2575, 269, 681, 12011, 1794, 568, 606, 7533, 851, 540, 519, 1565, 1184, 538, 8106, 2575, 543, 4249, 513, 2629, 1909, 538, 7393, 513, 22459, 779, 1983, 543, 1620, 540, 519, 1148, 1106, 563, 30547, 540, 681, 12011, 1794, 538, 19446, 454, 763, 2165, 2048, 686, 344, 1794, 685, 568, 849, 4122, 1031, 538, 19446, 267, 609, 519, 1482, 2495, 607, 922, 2296, 11218, 269, 769, 19446, 267, 621, 568, 2854, 607, 2048, 18892, 18028, 363, 14098, 506, 2633, 376, 685, 543, 14733, 607, 2048, 686, 344, 1794, 9957, 2755, 519, 2262, 24865, 689, 14655, 267, 621, 814, 1831, 4922, 1031, 538, 4095, 4654, 267, 1519, 19446, 543, 21460, 267, 1813, 547, 519, 2178, 3310, 540, 4095, 8106, 2575, 563, 763, 19043, 540, 681, 12011, 1794, 454, 305, 12011, 1794, 6585, 10373, 4644, 538, 4095, 8106, 2575, 269, 898, 4422, 3564, 6071, 2259, 7886, 543, 3587, 513, 6131, 9015, 547, 1020, 543, 13217, 7574, 1983, 269, 3414, 678, 12011, 1794, 267, 12372, 1445, 593, 1585, 3344, 971, 607, 5355, 741, 5639, 25244, 267, 3501, 532, 741, 12334, 267, 7393, 741, 2930, 5759, 267, 543, 3695, 519, 14960, 540, 1114, 986, 326, 553, 543, 7574, 15885, 563, 27735, 540, 8617, 681, 12011, 1794, 454, 19894, 678, 12011, 1794, 568, 1898, 585, 1022, 14971, 22459, 269, 898, 568, 998, 5812, 543, 5676, 1441, 2259, 602, 5159, 2744, 17117, 936, 741, 1148, 269, 681, 12011, 1794, 2337, 12372, 1832, 741, 9739, 610, 4730, 4480, 538, 1283, 1106, 267, 4180, 602, 789, 2226, 741, 7207, 543, 2087, 20406, 269, 898, 849, 11942, 9015, 267, 9639, 267, 543, 11428, 267, 799, 616, 21644, 2556, 585, 1022, 22459, 779, 2208, 563, 305, 12011, 1794, 267, 519, 2259, 540, 4095, 8106, 2575, 267, 6585, 513, 2027, 1747, 538, 519, 12271, 540, 12372, 543, 12439, 269, 898, 711, 1152, 2337, 5159, 2087, 741, 2930, 1983, 855, 849, 2620, 839, 741, 1620, 543, 7071, 540, 519, 14960, 540, 519, 1148, 1106, 269, 3414, 2834, 678, 12011, 1794, 267, 12372, 666, 24917, 741, 5759, 267, 13217, 741, 5639, 610, 4730, 4480, 267, 543, 11441, 585, 17284, 538, 741, 7574, 3460, 269, 1924, 267, 9784, 519, 9759, 540, 678, 12011, 1794, 267, 543, 1577, 621, 3391, 596, 547, 1831, 513, 5963, 12913, 22459, 269, 0, 288, 12550, 568, 513, 3957, 6256, 540, 1257, 269, 1358, 616, 3335, 3989, 609, 519, 26285, 2742, 281, 1422, 3698, 710, 912, 315, 3698, 710, 1250, 2173, 659, 549, 263, 12407, 2678, 281, 257, 9377, 5435, 1871, 8442, 901, 568, 519, 12550, 267, 543, 519, 9936, 568, 1269, 12407, 2678, 10608, 1422, 754, 454, 28843, 3240, 2173, 659, 549, 9563, 24177, 3240, 2173, 659, 549, 834, 763, 9936, 257, 9563, 454, 763, 6724, 602, 616, 9138, 538, 519, 12550, 1289, 616, 2655, 21114, 585, 2027, 1747, 6868, 1369, 519, 6256, 912, 259, 12407, 2678, 268, 4067, 259, 529, 8719, 609, 519, 1871, 540, 519, 3957, 9936, 454, 259, 263, 19702, 762, 268, 4067, 7751, 529, 8719, 609, 519, 1871, 540, 519, 3957, 4756, 1916, 1692, 5839, 4592, 4518, 454, 21547, 4592, 616, 8045, 607, 513, 2027, 2186, 540, 4756, 269, 634, 1152, 3364, 602, 30193, 873, 689, 8723, 4632, 568, 519, 1259, 602, 519, 6724, 616, 17411, 269, 0, 1103, 2487, 1296, 267, 15181, 23315, 814, 1831, 5051, 2442, 1813, 547, 922, 2702, 547, 10110, 1585, 6878, 269, 2290, 540, 519, 1034, 1713, 3096, 540, 15181, 23315, 568, 538, 2011, 22729, 269, 1809, 1018, 4010, 1281, 15181, 23315, 10110, 267, 543, 875, 1281, 621, 960, 286, 769, 713, 2376, 267, 649, 786, 2263, 519, 1888, 538, 3829, 543, 1683, 596, 609, 782, 519, 2556, 1344, 563, 1432, 568, 2920, 17300, 4077, 19254, 888, 8002, 17300, 23315, 568, 513, 1106, 540, 3327, 602, 814, 1044, 5701, 609, 5135, 547, 1711, 6634, 540, 6263, 22405, 1063, 519, 3327, 8444, 269, 1452, 22405, 2333, 519, 2627, 1858, 540, 519, 3327, 267, 1818, 621, 3810, 10110, 550, 269, 2920, 17300, 23315, 568, 4122, 1031, 538, 2011, 543, 1216, 22729, 267, 607, 1134, 607, 538, 4915, 543, 2960, 3249, 563, 1692, 6496, 2920, 17300, 4077, 19254, 12559, 12643, 13937, 888, 8002, 17300, 23315, 1568, 998, 513, 1184, 1572, 23455, 1632, 269, 589, 1091, 26975, 568, 519, 1184, 676, 799, 6675, 15666, 547, 519, 2627, 540, 1776, 6219, 269, 1879, 3154, 6675, 2097, 883, 3346, 609, 519, 2627, 540, 519, 15181, 23315, 267, 789, 6529, 547, 519, 2627, 540, 519, 3327, 22405, 267, 3927, 29212, 873, 269, 901, 1184, 18788, 519, 3154, 6675, 689, 519, 2011, 267, 6028, 3297, 15777, 267, 23906, 615, 2011, 563, 7617, 717, 1162, 6496, 2920, 17300, 4077, 19254, 12559, 12643, 888, 8002, 17300, 23315, 666, 10110, 513, 2647, 2039, 540, 9362, 267, 1519, 19979, 5214, 7135, 630, 309, 31237, 1070, 6101, 24957, 267, 9436, 12547, 267, 543, 16247, 12547, 269, 966, 31237, 616, 6464, 602, 666, 2014, 7929, 2042, 267, 14331, 267, 543, 824, 1072, 2152, 269, 31131, 24957, 568, 513, 1455, 11255, 2011, 12376, 656, 602, 666, 2014, 16698, 540, 519, 4064, 267, 9224, 267, 543, 11563, 269, 21193, 4088, 12547, 543, 16247, 12547, 616, 1312, 1455, 14107, 1336, 538, 1286, 9688, 32669, 563, 19119, 540, 4635, 2920, 17300, 4077, 19254, 585, 5794, 8830, 2305, 454, 8794, 15181, 23315, 585, 2011, 22729, 814, 1896, 2640, 269, 17616, 267, 621, 568, 513, 2067, 543, 3114, 6954, 1259, 547, 1625, 1518, 519, 2011, 269, 9521, 824, 2011, 1625, 13294, 267, 15181, 23315, 1281, 711, 5305, 1022, 5739, 676, 335, 20094, 883, 519, 2011, 269, 19627, 267, 15181, 23315, 568, 3810, 2500, 693, 9427, 5739, 9362, 689, 519, 2011, 267, 1818, 621, 606, 5140, 3903, 585, 1004, 609, 7929, 2042, 269, 7053, 267, 15181, 23315, 568, 5266, 20522, 543, 2653, 547, 946, 563, 1692, 547, 2422, 2920, 17300, 4077, 19254, 585, 5794, 8830, 2305, 454, 2414, 946, 15181, 23315, 585, 2011, 22729, 267, 596, 786, 991, 547, 6718, 15181, 23315, 12086, 610, 11435, 269, 1452, 12086, 610, 11435, 666, 581, 5116, 538, 2127, 540, 519, 1753, 1141, 2011, 22729, 568, 2877, 267, 971, 607, 538, 519, 2713, 4055, 610, 23103, 269, 634, 15181, 23315, 786, 10110, 519, 9362, 538, 519, 2011, 267, 6028, 3297, 15777, 267, 23906, 615, 2011, 269, 898, 568, 1271, 547, 5372, 519, 12086, 610, 11435, 5781, 547, 2327, 5021, 7145, 563, 7093, 8619, 1903, 1879, 4635, 2920, 17300, 4077, 19254, 454, 4407, 15181, 23315, 568, 3622, 2922, 547, 946, 267, 972, 616, 513, 1906, 15416, 602, 596, 1058, 1491, 269, 17616, 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 ]

[ 370, 10524, 500, 12571, 491, 29830, 490, 11590, 356, 417, 497, 479, 8147, 10429, 483, 13161, 354, 419, 507, 478, 16043, 495, 7511, 16043, 379, 25426, 368, 8147, 12916, 484, 16043, 495, 13213, 502, 418, 481, 367, 28884, 418, 505, 368, 14035, 504, 12486, 16043, 495, 10524, 492, 21251, 26033, 481, 420, 503, 495, 16043, 495, 18263, 364, 7511, 4970, 506, 420, 354, 379, 15159, 12571, 355, 29830, 358, 20069, 19867, 478, 29219, 8147, 420, 503, 377, 419, 482, 370, 16043, 495, 18263, 364, 4970, 506, 420, 354, 379, 13601, 25203, 368, 421, 25693, 23523, 486, 2108, 419, 366, 378, 13107, 492, 892, 8147, 18263, 364, 7511, 421, 25693, 15159, 19867, 497, 418, 488, 502, 7511, 417, 499, 484, 417, 497, 479, 12486, 419, 482, 370, 26033, 490, 8147, 16043, 495, 28098, 16533, 484, 23521, 354, 28884, 10524, 492, 11590, 489, 7511, 420, 494, 354, 421, 498, 478, 30903, 484, 417, 509, 509, 29072, 25335, 352, 420, 370, 488, 418, 371, 365, 24662, 8147, 16533, 365, 420, 370, 488, 13107, 492, 419, 503, 377, 420, 485, 359, 26266, 365, 31308, 509, 23521, 354, 15159, 418, 371, 365, 9463, 501, 23946, 379, 417, 495, 488, 7511, 26266, 355, 9463, 367, 12486, 16043, 495, 418, 481, 367, 28884, 7511, 8147, 16043, 495, 19867, 478, 18263, 364, 7511, 8147, 421, 25693, 9463, 501, 28996, 23521, 480, 417, 379, 501, 18998, 13200, 369, 25335, 484, 16043, 500, 10254, 360, 7511, 23946, 379, 417, 495, 488, 417, 499, 484, 7511, 25051, 365, 417, 497, 491, 8147, 14395, 481, 10524, 361, 21928, 417, 495, 488, 13644, 487, 16043, 495, 13644, 354, 18263, 364, 11590, 505, 10524, 478, 18263, 486, 12486, 645, 19272, 454, 24552, 543, 25285, 476, 272, 269, 6752, 281, 519, 1259, 540, 19703, 610, 1969, 532, 602, 568, 2808, 519, 1655, 693, 513, 1978, 942, 6201, 281, 3040, 674, 1662, 687, 723, 4957, 2094, 594, 729, 513, 8004, 269, 3040, 674, 1662, 687, 585, 2367, 781, 9660, 1689, 1447, 3040, 4749, 982, 535, 1662, 687, 585, 2021, 781, 3040, 9660, 269, 645, 19272, 454, 24552, 543, 25285, 476, 273, 269, 6216, 281, 320, 1362, 540, 5370, 799, 568, 519, 1587, 540, 513, 1880, 6109, 540, 16073, 6201, 281, 3040, 1548, 568, 707, 5172, 6216, 540, 12853, 286, 3040, 1703, 616, 1079, 12478, 540, 519, 2376, 593, 519, 3040, 2344, 269, 645, 19272, 454, 24552, 543, 25285, 476, 274, 269, 6408, 281, 1268, 267, 3662, 267, 3092, 269, 7092, 5945, 267, 1928, 267, 2530, 267, 3092, 269, 607, 1267, 540, 824, 1004, 781, 3527, 267, 610, 540, 4576, 267, 3983, 9939, 267, 3092, 269, 6201, 281, 3040, 1261, 729, 519, 6408, 540, 2192, 2389, 13015, 607, 513, 3040, 1126, 269, 3040, 3509, 5215, 540, 2831, 723, 1044, 3040, 9601, 540, 713, 9490, 1007, 2068, 269, 645, 19272, 454, 928, 947, 640, 281, 1945, 602, 568, 2556, 14300, 281, 5253, 543, 7802, 616, 29476, 540, 1272, 269, 2171, 3513, 1491, 1152, 519, 29476, 585, 519, 22742, 7552, 269, 645, 19272, 454, 24552, 543, 25285, 476, 275, 269, 10571, 909, 281, 24708, 630, 31138, 267, 610, 13951, 264, 811, 10694, 267, 17611, 269, 609, 7802, 6201, 281, 3040, 1358, 21039, 909, 585, 519, 8317, 269, 3040, 3657, 596, 2469, 547, 10571, 909, 585, 519, 5428, 267, 610, 3040, 568, 621, 13016, 286, 645, 19272, 454, 24552, 543, 25285, 476, 276, 269, 2697, 609, 281, 2014, 610, 2015, 630, 16341, 821, 547, 581, 4448, 609, 1945, 264, 6201, 281, 3040, 32100, 3112, 581, 4857, 609, 8788, 269, 3040, 634, 1158, 14439, 11427, 269, 623, 1678, 327, 32231, 609, 3040, 4775, 31414, 269, 645, 19272, 454, 339, 1248, 547, 281, 2998, 547, 3267, 1721, 948, 267, 5796, 267, 29059, 267, 4313, 267, 3092, 269, 14300, 281, 634, 1126, 5433, 972, 729, 1100, 835, 646, 1223, 2490, 547, 609, 1010, 2042, 15660, 1185, 547, 2490, 547, 519, 8675, 585, 948, 269, 3040, 1547, 645, 19272, 454, 24552, 543, 25285, 476, 277, 269, 1391, 281, 3406, 267, 3801, 547, 1265, 6201, 281, 3040, 634, 1391, 585, 4154, 729, 1279, 543, 2352, 269, 3040, 1261, 4682, 547, 519, 5399, 538, 1391, 540, 3040, 1945, 547, 1224, 269, 645, 19272, 454, 19972, 547, 281, 323, 2570, 593, 547, 1683, 948, 267, 5796, 267, 3092, 269, 3040, 6201, 281, 3040, 1284, 1413, 547, 596, 585, 948, 1315, 547, 948, 721, 269, 3040, 1323, 2111, 1762, 812, 568, 11849, 3139, 547, 1413, 547, 1866, 585, 6351, 645, 19272, 454, 24552, 543, 25285, 476, 278, 269, 1860, 281, 3310, 6201, 281, 3040, 634, 2179, 540, 4764, 5540, 519, 2208, 540, 3040, 7031, 269, 3040, 634, 2804, 6433, 814, 12517, 4299, 3040, 4639, 4436, 18666, 269, 645, 19272, 454, 24552, 543, 25285, 476, 279, 269, 1039, 547, 281, 2322, 1927, 609, 1945, 3116, 865, 607, 547, 2333, 519, 1297, 267, 2450, 267, 2956, 6201, 281, 3040, 1261, 3773, 930, 3574, 547, 519, 3595, 269, 3040, 634, 2575, 3773, 547, 938, 18399, 269, 645, 19272, 454, 24552, 543, 25285, 476, 280, 269, 581, 835, 781, 13337, 281, 581, 1945, 585, 799, 835, 666, 1318, 569, 581, 30199, 6201, 281, 3040, 898, 568, 707, 1378, 13337, 585, 711, 1565, 269, 3040, 1733, 846, 13337, 568, 621, 630, 7474, 264, 649, 616, 3735, 286, 898, 568, 711, 3040, 938, 13337, 269, 645, 19272, 0, 28557, 10259, 585, 2910, 3918, 288, 454, 2171, 1589, 519, 2262, 4295, 320, 568, 513, 4413, 335, 2454, 269, 898, 1223, 581, 1175, 606, 11234, 10259, 540, 519, 1913, 799, 616, 6700, 2630, 269, 5623, 519, 1592, 543, 4584, 519, 2262, 799, 596, 1589, 568, 519, 1034, 5078, 563, 11767, 707, 2262, 2630, 543, 4945, 1934, 547, 3406, 454, 23458, 281, 12626, 910, 2136, 2276, 7827, 454, 268, 15212, 910, 4436, 454, 268, 5617, 22654, 910, 5617, 22654, 1014, 454, 268, 18280, 534, 910, 4406, 523, 857, 534, 454, 268, 20636, 910, 667, 13089, 454, 268, 10656, 910, 715, 25005, 4133, 454, 268, 2296, 910, 5245, 454, 268, 2296, 910, 4516, 454, 268, 2296, 910, 2136, 8003, 454, 268, 2296, 910, 2136, 2276, 454, 268, 2296, 910, 26838, 454, 268, 2296, 910, 1715, 10215, 454, 268, 5333, 910, 6601, 2023, 454, 268, 3943, 910, 31839, 9820, 454, 268, 4436, 910, 1546, 28852, 454, 268, 4436, 910, 11822, 454, 268, 4436, 16848, 910, 5576, 933, 6500, 1372, 28852, 454, 268, 5259, 910, 3852, 499, 16575, 16575, 24341, 14832, 15403, 24681, 31149, 454, 268, 9459, 910, 14655, 454, 268, 7969, 910, 7969, 334, 454, 268, 13372, 910, 22105, 11530, 454, 268, 14470, 910, 2717, 24989, 454, 268, 14082, 910, 9929, 340, 17845, 338, 454, 268, 14082, 8478, 910, 9929, 340, 17845, 338, 454, 268, 14082, 910, 4911, 7637, 454, 268, 14082, 910, 7720, 9809, 3711, 1664, 454, 268, 4936, 1014, 910, 7931, 5889, 333, 26324, 454, 268, 6739, 910, 2843, 510, 7846, 4736, 4736, 24012, 13953, 454, 303, 6372, 2953, 29745, 585, 4295, 320, 454, 268, 1416, 1809, 5310, 594, 729, 5921, 547, 1491, 1416, 540, 596, 563, 268, 25287, 320, 932, 648, 320, 6070, 629, 529, 552, 611, 655, 563, 268, 1351, 320, 3767, 267, 596, 979, 1753, 267, 4856, 320, 2437, 646, 9901, 267, 834, 663, 4235, 1945, 3905, 1996, 713, 1178, 3272, 731, 28306, 563, 268, 4295, 898, 6770, 721, 547, 519, 12939, 540, 1346, 5289, 2833, 799, 616, 519, 21372, 4295, 543, 4641, 540, 938, 6228, 267, 2479, 9800, 1369, 721, 267, 855, 3622, 1654, 6150, 543, 1016, 23655, 563, 268, 2961, 320, 834, 2791, 4312, 1152, 546, 2331, 609, 2961, 320, 2899, 713, 10543, 267, 28120, 2437, 1352, 4767, 563, 268, 5516, 344, 1809, 4057, 6276, 5516, 344, 267, 945, 1185, 1044, 3841, 592, 748, 543, 4617, 267, 729, 1500, 540, 824, 8631, 563, 268, 27334, 2207, 898, 16393, 581, 1411, 267, 519, 8458, 540, 4742, 513, 1416, 337, 267, 5516, 3464, 5177, 476, 1220, 272, 27116, 1005, 6153, 5516, 585, 24771, 4658, 281, 14171, 513, 1279, 3856, 2070, 267, 654, 534, 1652, 267, 667, 563, 2767, 1913, 1500, 689, 519, 5022, 4295, 320, 454, 274, 4484, 1913, 1500, 689, 4295, 320, 912, 276, 4484, 1913, 1500, 689, 4295, 320, 912, 29309, 335, 2454, 540, 519, 1554, 454, 268, 1310, 16657, 338, 454, 268, 581, 554, 987, 0, 263, 310, 297, 30045, 264, 1107, 589, 5812, 9219, 814, 1044, 835, 540, 519, 1101, 10689, 12201, 540, 10340, 267, 543, 8103, 814, 2141, 2097, 909, 609, 1007, 2081, 547, 9004, 2300, 4926, 585, 519, 1447, 14047, 783, 540, 721, 563, 21196, 2775, 30540, 5384, 568, 513, 21496, 12136, 538, 519, 2136, 2276, 267, 1141, 607, 513, 4182, 649, 968, 338, 7428, 4464, 892, 610, 968, 6420, 1394, 892, 676, 782, 14577, 938, 23234, 606, 5662, 6619, 543, 3297, 267, 6606, 563, 2690, 930, 267, 21924, 5614, 21765, 568, 4502, 519, 1942, 538, 519, 2887, 267, 855, 1946, 1705, 519, 2259, 1376, 538, 519, 1101, 1747, 888, 763, 3778, 540, 5384, 454, 1103, 513, 2428, 9917, 961, 267, 942, 3884, 1406, 607, 2759, 543, 3819, 607, 596, 1522, 4126, 621, 568, 269, 769, 7507, 267, 519, 30486, 11706, 8719, 519, 4936, 17044, 11706, 547, 811, 5702, 5447, 741, 18523, 8430, 609, 519, 4890, 2619, 540, 519, 3047, 1472, 519, 6129, 563, 1103, 519, 2136, 2276, 267, 942, 10851, 941, 8045, 538, 519, 3735, 476, 866, 628, 11416, 547, 3044, 1125, 16456, 16131, 2066, 519, 2197, 563, 1103, 1776, 10167, 540, 942, 543, 9297, 267, 772, 2529, 269, 4303, 2775, 30540, 5384, 630, 291, 4306, 264, 21256, 856, 540, 519, 1482, 991, 563, 2026, 519, 3047, 25057, 519, 3141, 267, 519, 1482, 28550, 602, 3947, 721, 519, 12405, 3217, 21765, 689, 721, 269, 13689, 593, 707, 3845, 689, 519, 20337, 267, 707, 1753, 786, 28550, 4724, 610, 2476, 689, 519, 6129, 779, 12345, 543, 1689, 519, 942, 540, 23863, 543, 3141, 23438, 1142, 1554, 563, 4407, 519, 3017, 568, 5266, 1507, 1142, 1554, 267, 519, 1764, 8591, 909, 269, 769, 2484, 8832, 543, 8828, 4525, 540, 519, 1158, 621, 899, 772, 1206, 329, 758, 328, 267, 18940, 267, 7264, 723, 1152, 1079, 3108, 543, 476, 1428, 3764, 540, 1769, 593, 741, 4158, 652, 1554, 563, 1103, 606, 4674, 547, 18359, 5755, 1282, 2622, 2782, 594, 267, 519, 2136, 2276, 1101, 8045, 4303, 2775, 30540, 5384, 538, 476, 4489, 279, 269, 634, 7744, 729, 2147, 547, 18148, 15284, 779, 795, 3183, 19583, 547, 8303, 2103, 267, 6031, 602, 789, 1223, 4688, 593, 22250, 952, 789, 1152, 530, 5803, 909, 19692, 563, 763, 2268, 729, 4547, 1394, 2066, 519, 772, 2529, 269, 538, 2622, 2782, 4083, 267, 1634, 607, 2782, 5384, 267, 585, 519, 1482, 4128, 563, 4407, 519, 2038, 1686, 540, 667, 4306, 538, 519, 772, 2529, 269, 729, 2938, 607, 14902, 762, 267, 519, 1764, 602, 519, 1689, 814, 568, 1100, 24983, 281, 2687, 547, 513, 4972, 540, 6052, 1867, 538, 476, 1001, 276, 267, 6905, 667, 4306, 21892, 538, 476, 1220, 276, 2759, 10199, 1547, 6734, 260, 540, 3084, 5201, 6165, 269, 2755, 602, 1297, 949, 3100, 1507, 267, 519, 6151, 1297, 10710, 568, 476, 272, 269, 274, 570, 5028, 654, 3430, 3620, 2293, 563, 1103, 824, 1913, 267, 519, 1648, 10710, 676, 602, 10137, 1223, 1379, 476, 26316, 267, 28656, 476, 2568, 2914, 3430, 15620, 585, 606, 3003, 1032, 2786, 563, 3383, 1946, 798, 594, 6336, 602, 5662, 540, 21765, 888, 2691, 519, 772, 2529, 269, 968, 17517, 1394, 5608, 649, 5749, 1406, 3001, 519, 23234, 4505, 269, 1284, 2461, 2965, 4259, 873, 1394, 547, 741, 3312, 1875, 5937, 4306, 942, 267, 610, 9208, 5384, 563, 1103, 476, 1708, 272, 267, 9208, 5384, 7024, 693, 476, 273, 513, 6230, 269, 8734, 269, 476, 278, 269, 25439, 23234, 4448, 547, 519, 4950, 786, 9337, 8850, 693, 602, 942, 267, 543, 32302, 1058, 991, 1100, 14577, 563, 2690, 782, 824, 23234, 267, 3314, 547, 1305, 873, 835, 5662, 4505, 2901, 1354, 5127, 610, 693, 476, 273, 513, 6230, 269, 952, 596, 2461, 513, 3781, 22559, 269, 634, 1689, 786, 2285, 596, 606, 3606, 5662, 540, 3207, 267, 693, 519, 1942, 540, 606, 5662, 540, 21765, 693, 519, 1439, 540, 519, 1554, 563, 763, 3375, 18387, 1406, 1044, 24080, 2442, 676, 1022, 1797, 267, 609, 16027, 10981, 9812, 986, 4979, 1996, 519, 4657, 8430, 543, 6998, 547, 8190, 741, 2038, 1769, 3144, 676, 667, 4306, 2395, 563, 2690, 1346, 540, 721, 593, 513, 811, 9219, 2861, 8430, 267, 519, 1689, 7436, 519, 4098, 540, 5162 ]

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

[ 10072, 5301, 563, 268, 590, 12714, 654, 15505, 4469, 1052, 281, 901, 1826, 540, 1166, 1052, 568, 4122, 1031, 538, 1507, 1673, 3554, 2678, 267, 1164, 25774, 3156, 267, 971, 607, 3114, 543, 14453, 6080, 563, 268, 27387, 539, 4469, 1052, 281, 27387, 539, 1166, 5190, 616, 1031, 538, 1970, 25774, 543, 1970, 27529, 3156, 267, 971, 607, 21818, 1949, 543, 1507, 8397, 6080, 563, 268, 700, 777, 17434, 4469, 1052, 281, 700, 777, 4745, 1166, 5190, 616, 1419, 1031, 538, 6080, 602, 2154, 7928, 24905, 1782, 543, 2653, 1569, 585, 14791, 543, 7738, 267, 971, 607, 1426, 4393, 543, 14453, 6080, 563, 268, 2107, 12715, 4469, 1052, 281, 2107, 12715, 1166, 5190, 616, 1031, 538, 2095, 6482, 3156, 267, 1141, 606, 610, 12715, 6676, 568, 8704, 1063, 1079, 1166, 5190, 547, 2268, 5714, 2095, 563, 268, 15190, 12386, 32559, 4469, 1052, 281, 15190, 12386, 9420, 1166, 5190, 616, 1031, 538, 3156, 1141, 621, 568, 2556, 547, 9505, 1055, 2095, 17303, 267, 971, 607, 5826, 610, 7816, 540, 513, 18180, 3296, 563, 2005, 779, 1271, 547, 4063, 602, 519, 3498, 2039, 540, 1166, 5190, 666, 4268, 4470, 593, 519, 1808, 1374, 267, 2326, 1031, 267, 543, 2872, 4441, 269, 898, 568, 5227, 547, 5077, 609, 2872, 4648, 610, 1166, 1052, 9755, 585, 1808, 3498, 4170, 563, 278, 269, 1548, 616, 519, 1455, 2326, 585, 1166, 5190, 888, 14503, 5190, 666, 581, 1500, 689, 513, 3099, 540, 2326, 267, 4470, 593, 519, 3498, 543, 519, 1808, 4170, 540, 519, 10398, 532, 1062, 269, 2368, 1455, 2326, 1031, 585, 1166, 5190, 1331, 912, 268, 12539, 13082, 281, 12539, 5374, 1166, 5190, 616, 4922, 1031, 1813, 547, 741, 4222, 267, 15006, 267, 543, 26622, 269, 1358, 666, 16641, 1164, 5210, 543, 12503, 267, 1818, 873, 5078, 585, 513, 2039, 540, 3156, 563, 268, 32255, 13082, 281, 32255, 5374, 1166, 5190, 616, 14809, 15033, 543, 616, 1419, 1031, 538, 5054, 1141, 972, 568, 513, 1981, 540, 3114, 610, 1216, 14809, 269, 1358, 616, 4122, 1031, 538, 1426, 4393, 267, 14453, 267, 543, 3114, 6080, 563, 268, 2353, 1195, 13082, 281, 2353, 1195, 5374, 1166, 5190, 616, 1500, 689, 513, 7848, 540, 1114, 8407, 267, 971, 607, 26388, 267, 544, 8432, 321, 6577, 636, 267, 543, 19695, 269, 1358, 2709, 9120, 4222, 267, 8476, 14809, 4187, 267, 543, 5140, 2773, 538, 1164, 27529, 543, 1164, 25774, 3156, 563, 268, 10011, 11635, 281, 10011, 4401, 1166, 5190, 616, 1634, 585, 741, 1164, 4222, 543, 15006, 269, 1358, 616, 4122, 1031, 538, 1970, 25774, 543, 1970, 27529, 3156, 267, 971, 607, 21818, 543, 8022, 1949, 563, 268, 5696, 817, 281, 5696, 817, 1166, 5190, 616, 12595, 585, 741, 5140, 14809, 4187, 543, 12716, 9029, 269, 1358, 616, 1419, 1031, 538, 3156, 1141, 15312, 616, 1271, 267, 971, 607, 11265, 610, 16560, 10398, 532, 1949, 563, 268, 31668, 630, 28139, 9109, 2643, 25914, 728, 2567, 31668, 1166, 5190, 616, 1031, 538, 3156, 5473, 1351, 4592, 633, 6464, 610, 1141, 4187, 547, 14809, 568, 2838, 269, 1358, 616, 17426, 267, 1942, 15807, 267, 543, 4122, 1031, 538, 1216, 543, 16894, 2126, 2371, 563, 268, 667, 10631, 850, 11635, 281, 667, 10631, 850, 4401, 1166, 5190, 2709, 4222, 267, 15006, 267, 543, 4187, 547, 14809, 269, 1358, 616, 4122, 1031, 538, 1216, 543, 21137, 1949, 267, 607, 1134, 607, 538, 519, 3282, 543, 3154, 2872, 563, 763, 3903, 540, 1166, 1052, 1570, 5673, 593, 2188, 899, 519, 5665, 2175, 267, 2604, 543, 2837, 4170, 267, 3114, 17356, 267, 543, 1942, 9270, 538, 1142, 1808, 3498, 563, 279, 269, 1548, 616, 519, 1114, 3096, 540, 1166, 5190, 540, 1114, 2326, 888, 17843, 2326, 1031, 538, 1166, 5190, 723, 1808, 3601, 602, 1118, 873, 5078, 585, 1585, 3156, 269, 3371, 616, 930, 1455, 2326, 1031, 538, 1166, 5190, 543, 741, 1114, 3096, 912, 268, 12539, 13082, 4469, 5190, 281, 12539, 5374, 1166, 5190, 616, 4922, 1031, 538, 6080, 971, 607, 3282, 543, 3154, 267, 1379, 5108, 267, 543, 3114, 4393, 269, 1358, 2709, 1434, 4222, 543, 616, 5078, 585, 3156, 609, 1164, 12503, 543, 5210, 563, 268, 32255, 13082, 4469, 5190, 281, 32255, 5374, 1166, 5190, 616, 14809, 15033, 543, 723, 1164, 4222, 267, 1818, 873, 5078, 585, 3156, 1141, 14809, 568, 513, 6161, 267, 971, 607, 538, 519, 1426, 543, 20892, 2872, 267, 14453, 2872, 267, 543, 7286, 3156, 563, 268, 2353, 1195, 13082, 4469, 5190, 281, 2353, 1195, 5374, 1166, 5190, 616, 1031, 538, 3156, 602, 2154, 1164, 4222, 267, 5140, 32297, 267, 543, 4187, 547, 14809, 543, 1164, 5210, 269, 1358, 616, 4122, 1031, 538, 6080, 971, 607, 3282, 543, 3154, 267, 4620, 10635, 8707, 267, 543, 1379, 5108, 563, 268, 13660, 14658, 32255, 13082, 4469, 5190, 281, 13660, 14658, 16243, 5374, 1166, 5190, 2709, 513, 4999, 540, 1164, 4222, 543, 5140, 14809, 4187, 269, 1358, 616, 1031, 538, 3156, 1141, 4187, 547, 2566, 14809, 25305, 543, 8486, 1154, 568, 2565, 267, 971, 607, 21369, 3282, 5867, 267, 3114, 2371, 267, 543, 26869, 5054, 563, 268, 5696, 817, 4469, 5190, 281, 5696, 817, 1166, 5190, 616, 1419, 1031, 538, 21818, 267, 25256, 1949, 267, 543, 1970, 25774, 3156, 269, 1358, 1683, 1434, 14809, 4187, 267, 616, 2653, 547, 5478, 267, 543, 2709, 1434, 8143, 19428, 563, 268, 10011, 11635, 4469, 5190, 281, 10011, 4401, 1166, 5190, 616, 1031, 538, 1970, 25774, 543, 1970, 27529, 3156, 269, 1358, 616, 4122, 1031, 538, 21818, 1949, 267, 16894, 2126, 2371, 267, 543, 4070, 3785, 563, 268, 31668, 630, 28139, 9109, 2643, 25914, 728, 264, 4469, 5190, 281, 31668, 1166, 5190, 616, 17426, 267, 2653, 547, 3888, 267, 543, 11259, 547, 14809, 543, 6464, 269, 1358, 616, 4122, 1031, 538, 12555, 1949, 267, 1216, 3761, 5121, 267, 543, 3114, 1184, 6080, 563, 268, 21419, 1756, 4469, 5190, 281, 21419, 1756, 1166, 5190, 616, 1031, 538, 3156, 1141, 17426, 267, 1164, 4222, 543, 5140, 14809, 4187, 616, 2838, 269, 1358, 1265, 3156, 538, 519, 23825, 2872, 267, 3114, 4393, 267, 543, 2564, 18032, 563, 2005, 568, 1271, 547, 2824, 519, 3617, 1570, 585, 1166, 5190, 1759, 593, 519, 1808, 4170, 540, 519, 3498, 267, 1519, 2188, 899, 2837, 267, 2604, 267, 5714, 17356, 267, 543, 2825, 2175, 269, 31173, 609, 2872, 4648, 610, 1166, 1052, 9755, 568, 5227, 547, 2327, 519, 1318, 1570, 5542, 585, 1808, 6165, 563, 280, 269, 1018, 568, 4469, 1052, 8131, 888, 288, 1166, 1052, 3068, 4016, 547, 519, 2627, 540, 513, 1166, 1052, 1141, 621, 2306, 3346, 609, 1776, 1166, 1052, 610, 575, 21488, 269, 898, 568, 519, 20282, 2627, 602, 5932, 513, 13021, 950, 1079, 1166, 5190, 616, 10240, 1540, 1927, 269, 634, 1166, 1052, 3068, 666, 581, 6366, 267, 6659, 267, 610, 723, 513, 1808, 9043, 4470, 593, 519, 1826, 540, 1166, 1052, 543, 27575, 4170, 563, 763, 2298, 543, 2783, 540, 519, 1166, 1052, 3068, 568, 2629, 585, 4180, 513, 1697, 543, 13451, 6954, 4276, 269, 7102, 20541, 687, 267, 971, 607, 29565, 2583, 267, 546, 757, 267, 610, 19514, 1145, 267, 666, 11874, 1860, 519, 8699, 540, 519, 13021, 269, 4475, 267, 1166, 1052, 8188, 616, 5402, 2577, 1441, 610, 561, 11474, 547, 1683, 513, 5347, 543, 6366, 2627, 585, 6099, 27575, 2773, 563, 17843, 2010, 540, 1166, 1052, 8188, 1331, 912, 268, 25065, 8131, 630, 13697, 2567, 1452, 1166, 1052, 8188, 723, 5347, 267, 6366, 7252, 543, 616, 3335, 1031, 585, 1970, 25774, 3156, 609, 1875, 31475, 28351, 575, 2532, 1115, 269, 1358, 2154, 3606, 27575, 3800, 971, 607, 744, 8573, 902, 610, 575, 2532, 1115, 547, 1711, 513, 9395, 13021, 563, 268, 14780, 2213, 8131, 630, 27184, 2567, 14780, 2213, 3068, 1166, 5190, 723, 513, 1507, 6659, 8258, 1472, 519, 30021, 9475, 593, 519, 1166, 1052, 3068, 269, 901, 6659, 6712, 2488, 606, 3606, 27575, 2627, 543, 10597, 519, 2702, 547, 2270, 1164, 25774, 12862, 563, 268, 23580, 7392, 17434, 630, 20670, 297, 2567, 21512, 297, 1166, 5190, 723, 16887, 2966, 9240, 7174, 593, 519, 1166, 1052, 3068, 602, 13918, 4496, 8258, 575, 2532, 1115, 269, 1452, 1166, 5190, 616, 4122, 1031, 538, 1164, 25774, 543, 1164, 27529, 3156, 267, 971, 607, 538, 519, 3282, 543, 3154, 2872, 563, 2467, 616, 824, 7463, 1166, 1052, 3068, 12632, 607, 1134, 267, 4470, 593, 519, 1808, 3498, 4170, 269, 898, 779, 2629, 547, 2327, 602, 519, 1166, 1052, 3068, 13292, 519, 7222, 1166, 1052, 3068, 593, 519, 20282, 1166, 1052, 610, 575, 21488, 547, 2226, 513, 1697, 13021, 543, 2061, 24694, 563, 1015, 269, 1215, 547, 3442, 513, 1166, 1052, 3068, 888, 24400, 519, 1318, 1166, 1052, 3068, 5673, 593, 1896, 2188, 267, 1519, 519, 3498, 267, 2604, 267, 2837, 267, 1826, 540, 5714, 610, 3154, 1373, 24829, 267, 543, 27575, 4170, 269, 3371, 616, 930, 9270, 547, 948, 596, 3442, 519, 3617, 1166, 1052, 3068, 912, 268, 13335, 543, 16242, 281, 14419, 519, 1808, 3498, 4170, 543, 519, 4397, 2604, 2175, 269, 7756, 1166, 1052, 8188, 616, 2966, 547, 6023, 1114, 2604, 9832, 269, 1280, 1383, 267, 6366, 3068, 1166, 5190, 630, 13697, 264, 616, 5078, 585, 1970, 25774, 3156, 267, 1247, 6659, 3068, 1166, 5190, 630, 27184, 264, 610, 8258, 15178, 4745, 1166, 5190, 630, 20670, 297, 264, 616, 3335, 1031, 585, 2362, 25774, 3156, 563, 268, 18323, 281, 6333, 519, 2837, 540, 519, 1062, 269, 4400, 27529, 3156, 949, 2154, 1166, 1052, 8188, 602, 666, 16641, 8143, 7269, 610, 19432, 269, 21512, 297, 1166, 5190, 267, 609, 519, 946, 540, 4496, 8258, 575, 2532, 1115, 267, 616, 1419, 9053, 585, 1164, 27529, 543, 1164, 25774, 3156, 563, 268, 29079, 610, 13937, 3281, 520, 2225, 281, 6333, 519, 1826, 540, 5714, 610, 3154, 1373, 24829, 269, 2368, 12862, 610, 9362, 949, 2154, 1808, 1166, 1052, 8188, 610, 575, 2532, 1115, 547, 2327, 17356, 543, 2061, 24694, 269, 1280, 1383, 267, 1351, 4592, 633, 12862, 949, 2154, 2027, 2326, 610, 15098, 593, 519, 1166, 1052, 3068, 547, 5706, 3114, 4323, 563, 268, 1530, 2718, 21976, 281, 14419, 519, 5551, 1377, 540, 13021, 8699, 269, 1403, 513, 2362, 1377, 540, 27575, 568, 2838, 267, 971, 607, 538, 2565, 610, 13818, 3156, 267, 21512, 297, 1166, 5190, 609, 4496, 8258, 575, 2532, 1115, 616, 1419, 9053, 1813, 547, 741, 9120, 27575, 7207, 269, 1717, 267, 952, 513, 2241, 543, 1942, 15807, 13021, 568, 6190, 267, 6366, 3068, 1166, 5190, 609, 3617, 575, 2532, 1115, 610, 744, 8573, 902, 666, 581, 1031, 563, 268, 12752, 11621, 281, 6333, 1022, 4143, 2872, 4441, 610, 6042, 602, 949, 27774, 519, 1826, 540, 1166, 1052, 3068, 547, 581, 1031, 269, 15316, 6080, 267, 971, 607, 3282, 543, 3154, 267, 4620, 10635, 8707, 267, 543, 1216, 2126, 267, 1419, 723, 1808, 4808, 610, 4441, 585, 1166, 1052, 3068, 5542, 563, 8256, 738, 532, 609, 2872, 4648, 267, 8030, 267, 610, 1166, 1052, 9755, 568, 19624, 547, 2327, 519, 2953, 1166, 1052, 3068, 5542, 585, 707, 1808, 3498, 269, 1358, 666, 1683, 5583, 543, 6791, 1759, 593, 741, 1995, 543, 1702, 540, 2872, 4441, 543, 1655, 2853, 563, 1556, 269, 1548, 2186, 540, 27575, 1505, 1281, 519, 1166, 1052, 9772, 888, 14503, 5190, 3335, 2308, 1585, 27575, 2409, 547, 2327, 513, 5150, 543, 13451, 6954, 4276, 269, 634, 3903, 540, 27575, 1505, 5673, 593, 519, 3498, 267, 2604, 267, 2837, 267, 543, 5714, 17320, 553, 1373, 24829, 269, 3371, 616, 930, 1455, 27575, 2409, 1031, 609, 1166, 5190, 912, 268, 717, 2532, 1115, 281, 717, 2532, 1115, 616, 2571, 267, 14771, 1043, 2326, 5116, 1063, 1166, 1052, 8188, 547, 1711, 513, 13021, 269, 1358, 6445, 1022, 12150, 885, 593, 519, 1166, 1052, 8188, 543, 1683, 513, 11064, 1996, 20984, 269, 7756, 2010, 540, 575, 2532, 1115, 616, 2139, 267, 971, 607, 12285, 267, 524, 1251, 267, 683, 641, 16867, 267, 25280, 25539, 630, 307, 1030, 23127, 1070, 18700, 10138, 267, 543, 4496, 8258, 575, 2532, 1115, 269, 634, 5542, 540, 519, 575, 21488, 1570, 5673, 593, 2188, 899, 2837, 267, 2604, 267, 543, 519, 1826, 540, 5714, 1373, 24829, 563, 268, 744, 7304, 902, 281, 744, 8573, 902, 616, 9764, 12285, 610, 1714, 770, 9593, 545, 20910, 5116, 538, 513, 9240, 913, 593, 519, 1166, 1052, 3068, 269, 1879, 519, 1166, 5190, 616, 10240, 1540, 1927, 267, 519, 744, 268, 2590, 568, 19316, 267, 8108, 513, 13021, 1063, 519, 1079, 1166, 1052, 8188, 269, 744, 8573, 902, 1683, 513, 6325, 13021, 585, 1312, 11979, 543, 6422, 3156, 543, 616, 4122 ]

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

[ 378, 17994, 372, 29497, 491, 17994, 353, 17994, 369, 17994, 362, 29497, 479, 307, 601, 30253, 454, 268, 688, 330, 1731, 520, 267, 12908, 9809, 2131, 307, 24642, 880, 454, 268, 10780, 13077, 8563, 28027, 267, 16044, 500, 13150, 4138, 20265, 267, 11714, 20686, 4814, 4709, 20686, 13150, 9841, 308, 330, 1778, 1014, 454, 268, 12168, 367, 406, 484, 267, 12168, 367, 406, 484, 8294, 404, 355, 17262, 267, 12168, 511, 28405, 17262, 28405, 20254, 21589, 706, 454, 268, 669, 5889, 333, 561, 383, 377, 267, 22614, 506, 509, 419, 494, 484, 267, 521, 12782, 365, 555, 17554, 511, 339, 309, 2884, 17592, 454, 268, 535, 1221, 267, 2357, 520, 267, 2357, 520, 617, 14157, 777, 6686, 330, 454, 7476, 1256, 811, 16627, 585, 18266, 19314, 8340, 513, 8144, 585, 519, 18266, 4214, 538, 824, 4654, 912, 15675, 1776, 1893, 912, 268, 910, 8564, 20620, 268, 22614, 362, 478, 12916, 497, 18809, 24757, 630, 24336, 910, 22217, 1881, 994, 268, 22614, 373, 479, 421, 360, 498, 18809, 24757, 630, 24336, 910, 12465, 994, 268, 25385, 320, 10722, 565, 630, 28049, 994, 268, 10507, 704, 27053, 630, 19324, 704, 27053, 994, 268, 17276, 501, 354, 10951, 361, 420, 359, 508, 630, 30153, 994, 268, 9929, 340, 17845, 338, 630, 21545, 1872, 12956, 994, 268, 1546, 28852, 630, 23389, 994, 268, 24291, 28257, 14507, 24220, 18716, 29756, 630, 288, 32106, 994, 268, 31839, 9820, 630, 23210, 994, 268, 2843, 510, 7846, 4736, 4736, 24012, 13953, 630, 305, 11701, 994, 268, 11774, 366, 499, 25223, 357, 412, 367, 491, 25223, 357, 25223, 350, 630, 298, 2335, 3385, 994, 268, 476, 17432, 506, 422, 369, 511, 424, 500, 368, 630, 298, 17671, 994, 268, 13913, 351, 403, 495, 29645, 27783, 359, 630, 3891, 11119, 994, 268, 717, 2801, 559, 613, 630, 296, 16194, 994, 268, 2843, 352, 7549, 13077, 397, 501, 4709, 4736, 9841, 18547, 630, 308, 330, 1778, 1014, 994, 268, 18457, 14507, 21333, 15906, 630, 21589, 706, 994, 268, 7395, 344, 541, 630, 295, 2426, 4115, 994, 268, 7162, 362, 14098, 357, 24691, 32172, 18028, 357, 11695, 355, 21005, 630, 295, 785, 328, 994, 268, 12868, 630, 5715, 2158, 1014, 994, 268, 7969, 334, 630, 2005, 6501, 994, 268, 11774, 362, 353, 18298, 362, 18298, 379, 18298, 368, 28159, 491, 630, 307, 7056, 994, 268, 570, 14660, 330, 9809, 324, 630, 307, 24642, 880, 994, 268, 11774, 364, 353, 29497, 484, 17994, 366, 29497, 479, 17994, 501, 29497, 479, 630, 307, 601, 30253, 994, 268, 476, 6893, 510, 32453, 6893, 358, 32453, 16055, 482, 6893, 501, 6893, 351, 630, 1320, 2967, 994, 268, 23621, 17554, 379, 978, 22870, 12782, 485, 339, 630, 309, 2884, 17592, 994, 268, 17487, 490, 324, 20795, 339, 2088, 630, 290, 14864, 994, 268, 2717, 24989, 630, 21691, 880, 994, 268, 15840, 14505, 12868, 630, 5715, 2158, 1014, 994, 268, 7931, 5889, 928, 388, 503, 974, 630, 31718, 1014, 994, 268, 715, 25005, 4133, 630, 291, 8553, 994, 268, 3852, 499, 16575, 16575, 24341, 14832, 15403, 24681, 31149, 630, 31528, 994, 268, 5824, 636, 630, 31142, 994, 268, 590, 26223, 6390, 630, 306, 14954, 880, 994, 268, 667, 13089, 630, 291, 4314, 994, 268, 2672, 23449, 630, 293, 4883, 880, 994, 268, 476, 28519, 8294, 14507, 25078, 17262, 630, 25324, 1014, 994, 268, 13913, 503, 21012, 402, 368, 403, 497, 27783, 358, 630, 312, 1342, 880, 994, 268, 476, 401, 364, 401, 350, 401, 369, 401, 354, 402, 478, 401, 354, 401, 370, 630, 30265, 523, 1014, 994, 268, 715, 832, 330, 630, 301, 528, 19886, 994, 268, 2296, 630, 12626, 264, 0, 312, 21788, 30264, 4953, 631, 19851, 700, 17129, 589, 700, 9281, 292, 2316, 10933, 269, 4107, 4892, 2845, 606, 5863, 476, 4037, 267, 1822, 5195, 593, 741, 3952, 676, 519, 942, 789, 3914, 2085, 476, 2004, 269, 8617, 3723, 1416, 666, 1118, 2386, 707, 3952, 616, 909, 547, 519, 4305, 563, 9617, 607, 596, 1131, 711, 979, 513, 1554, 1510, 17678, 707, 4522, 267, 596, 1058, 711, 979, 513, 1554, 1510, 2921, 1416, 540, 707, 3952, 269, 6744, 707, 3952, 3232, 585, 11912, 267, 21399, 267, 11926, 543, 7783, 547, 523, 5661, 269, 11162, 873, 609, 3636, 1216, 543, 12853, 950, 596, 536, 7752, 543, 3819, 873, 1134, 269, 674, 25193, 7103, 602, 2014, 5563, 2648, 7509, 282, 14145, 1516, 873, 540, 6632, 1145, 2306, 621, 811, 2352, 585, 16507, 5563, 547, 8853, 269, 2142, 2386, 547, 3819, 1134, 1063, 519, 19462, 282, 1022, 4430, 7509, 1934, 5932, 513, 1390, 1604, 585, 513, 16507, 3968, 269, 3680, 865, 1136, 707, 3952, 8259, 10288, 547, 798, 865, 676, 707, 10540, 9332, 2077, 269, 1306, 596, 3819, 707, 3952, 267, 1491, 513, 1434, 1413, 693, 519, 1151, 525, 585, 18440, 543, 1063, 707, 19462, 585, 890, 9934, 2127, 269, 901, 1223, 5365, 19002, 779, 3723, 269, 6733, 585, 32396, 540, 519, 18969, 267, 799, 1223, 5815, 513, 17970, 17343, 269, 4658, 609, 3987, 1058, 8524, 741, 3952, 3232, 2094, 789, 723, 513, 2362, 1981, 540, 3723, 21399, 543, 5563, 563, 27770, 626, 584, 1125, 707, 3952, 1169, 1554, 609, 2603, 542, 267, 8645, 610, 19386, 21297, 267, 855, 1810, 1406, 2322, 5848, 584, 6500, 1063, 707, 19462, 269, 2558, 574, 707, 547, 523, 5661, 2786, 2066, 609, 513, 17970, 804, 23124, 543, 2057, 16013, 2719, 1932, 2673, 547, 519, 2960, 269, 2558, 21148, 873, 2786, 2066, 11151, 547, 523, 5661, 689, 3395, 883, 707, 2960, 630, 532, 3497, 547, 523, 841, 1040, 2422, 606, 900, 2044, 4604, 610, 17970, 3758, 547, 9900, 5347, 519, 15174, 563, 28406, 707, 3952, 538, 1857, 2127, 269, 23203, 17643, 10887, 693, 519, 15547, 267, 538, 9376, 518, 11623, 543, 693, 1857, 20115, 267, 799, 4043, 547, 581, 9960, 12406, 585, 13271, 602, 666, 2014, 5563, 269, 3680, 4687, 3723, 613, 541, 269, 1411, 666, 1205, 16507, 5563, 676, 9849, 824, 1004, 779, 10887, 610, 26852, 269, 901, 2882, 10519, 1023, 563, 7312, 3952, 723, 17570, 15374, 7523, 648, 267, 827, 476, 7742, 267, 1822, 538, 1142, 3723, 269, 6431, 17508, 5932, 519, 3501, 1604, 585, 4551, 547, 1332, 269, 7994, 7362, 762, 31321, 547, 1832, 3952, 3819, 282, 26852, 1500, 540, 10991, 11103, 530, 1157, 2476, 7509, 5488, 982, 10412, 610, 15144, 269, 3680, 9849, 23494, 9395, 20562, 344, 327, 846, 267, 799, 15972, 7509, 269, 1677, 1832, 707, 3952, 3819, 543, 2635, 267, 5957, 10887, 1500, 540, 16463, 547, 1450, 2011, 547, 32694, 269, 1403, 596, 2461, 12155, 547, 23494, 17570, 344, 3952, 267, 1413, 585, 10887, 1500, 540, 17450, 17234, 585, 5021, 7362, 1464, 563, 7312, 10887, 1058, 3514, 5265, 543, 1058, 711, 10413, 707, 3952, 269, 1744, 3996, 602, 616, 1932, 9395, 666, 2014, 1279, 3856, 3723, 2042, 269, 23883, 5957, 6899, 10887, 950, 10707, 269, 19255, 585, 10887, 693, 519, 1439, 540, 519, 1554, 547, 22771, 585, 3723, 11926, 602, 4386, 2663, 538, 519, 1554, 267, 543, 5957, 519, 1482, 1826, 540, 26852, 610, 554, 657, 30711, 596, 3580, 5957, 609, 519, 10887, 269, 7994, 513, 3376, 267, 17031, 21489, 609, 7899, 540, 4055, 585, 707, 19462, 543, 513, 2647, 267, 7123, 24933, 269, 3680, 1448, 344, 10887, 267, 799, 666, 16081, 335, 707, 19462, 543, 2014, 3824, 3497, 547, 523, 5661, 543, 1289, 4926, 269, 16505, 538, 707, 10887, 585, 1079, 4374, 1354, 10707, 269, 4787, 760, 519, 16212, 22286, 3591, 543, 1166, 1846, 2094, 789, 798, 711, 1683, 2614, 2895, 1489, 269, 15585, 622, 707, 10887, 865, 596, 798, 711, 5957, 519, 1482, 6292, 1169, 1554, 563, 303, 14037, 999, 616, 5386, 3177, 519, 12427, 616, 13931, 543, 519, 10661, 568, 2973, 267, 609, 1100, 4604, 540, 1072, 19374, 269, 1403, 596, 723, 3987, 610, 4057, 10009, 538, 707, 3952, 267, 5077, 513, 10540, 9332, 2077, 945, 666, 4363, 513, 16419, 7895, 545, 675, 596, 543, 707, 2892, 517, 666, 1246, 585, 6099, 3723, 1072, 269, 21480, 707, 7895, 545, 675, 1101, 3364, 538, 519, 6640, 282, 2892, 517, 3723, 31725, 616, 3335, 2973, 652, 4505, 538, 519, 1554, 269, 5269, 2386, 519, 2892, 517, 12086, 543, 18274, 519, 3723, 8602, 1063, 7218, 269, 20780, 707, 1378, 7895, 545, 675, 27022, 269, 29318, 543, 13271, 666, 1847, 3362, 689, 835, 1268, 547, 519, 1985, 952, 519, 2892, 517, 3085, 1406, 5265, 10322, 559, 1125, 2645, 269, 1763, 626, 519, 20882, 547, 695, 1511, 707, 7953, 1354, 8391, 513, 7895, 545, 675, 269, 18610, 569, 695, 13273, 7953, 610, 1507, 11912, 593, 707, 7953, 949, 1450, 4551, 547, 4283, 269, 1403, 596, 616, 8391, 513, 7895, 545, 675, 543, 812, 545, 675, 267, 1810, 1406, 946, 519, 1482, 2645, 585, 1312, 2533, 267, 607, 4551, 543, 13271, 666, 4483, 1063, 11263, 543, 19462, 563, 28770, 344, 12545, 616, 5393, 24338, 543, 666, 15972, 17900, 602, 3262, 269, 4595, 789, 666, 1406, 581, 10322, 28895, 267, 1810, 1406, 2671, 17970, 6119, 609, 2828, 267, 543, 3142, 707, 1378, 8259, 596, 616, 2386, 519, 2892, 517, 30283, 873, 585, 1142, 6075, 269, 5221, 2759, 2873, 4196, 607, 513, 8825, 11064, 1996, 4551, 267, 1810, 1406, 2479, 2759, 873, 267, 799, 4679, 519, 1981, 540, 3968, 269, 1403, 596, 7985, 689, 5394, 543, 23209, 1819, 547, 523, 5661, 267, 1810, 1406, 4019, 17970, 32432, 547, 3382, 909, 519, 1966, 269, 1403, 519, 1966, 26251, 267, 3643, 707, 10540, 9332, 2077, 269, 898, 1223, 581, 513, 1129, 540, 513, 16507, 3968, 563, 8450, 513, 10540, 9332, 2077, 8164, 707, 3952, 10413, 269, 1684, 711, 3801, 547, 1582, 2389, 805, 11213, 3723, 530, 3996, 282, 596, 949, 1118, 519, 1966, 8338, 269, 589, 10540, 12278, 10629, 1058, 2638, 1022, 6414, 656, 1928, 267, 25017, 267, 11926, 610, 32396, 269, 4855, 513, 10540, 9332, 2077, 945, 568, 4604, 2275, 1068, 1881, 543, 513, 4759, 540, 519, 1977, 23093, 12278, 6481, 5948, 269, 1703, 616, 693, 2547, 5216, 2010, 540, 4604, 24501, 538, 10540, 17226, 269, 5269, 606, 13393, 543, 581, 5423, 547, 2995, 707, 10540, 9332, 2077, 827, 519, 3723, 2042, 596, 616, 7680, 269, 15394, 519, 1966, 666, 581, 23498, 909, 609, 13310, 4915, 610, 513, 5634, 538, 11325, 823, 5650, 269, 589, 10540, 9332, 2077, 666, 948, 2061, 5634, 2042, 689, 4742, 2101, 3283, 563, 763, 1543, 540, 713, 2376, 568, 585, 21141, 5301, 1152, 269, 898, 568, 711, 5497, 547, 581, 513, 12990, 585, 3318, 2564, 5796, 267, 5868, 610, 2126, 269, 11408, 3343, 519, 5796, 540, 707, 10629, 610, 824, 11727, 1072, 1416, 8502, 609, 1022, 2055, 596, 949, 723, 3823, 513, 2564, 2783, 563, 7712, 922, 31449, 585, 19788, 519, 1158, 16918, 8057, 538, 519, 476, 3422, 271, 338, 267, 10255, 3788, 519, 979, 3562, 10278, 585, 1350, 7867, 532, 14812, 269, 3962, 1900, 540, 519, 3460, 568, 679, 549, 5523, 538, 17195, 267, 689, 11477, 5389, 609, 519, 5207, 3044, 540, 11056, 543, 2012, 1532, 8681, 267, 1164, 15134, 10918, 547, 1101, 268, 3433, 9716, 2199, 525, 543, 16918, 22581, 267, 899, 476, 276, 3613, 541, 20730, 267, 4357, 5636, 553, 543, 586, 778, 1206, 563, 296, 4952, 602, 950, 5856, 17713, 4168, 1656, 619, 523, 1660, 539, 267, 968, 16908, 3294, 568, 519, 1034, 8748, 18912, 9661, 2223, 646, 729, 7555, 693, 519, 6316, 540, 10515, 32683, 779, 8978, 570, 643, 10008, 25052, 267, 835, 540, 1010, 5172, 20807, 338, 267, 14219, 1508, 539, 676, 519, 2220, 20071, 540, 1480, 8788, 602, 11303, 1864, 281, 1453, 28617, 282, 1286, 537, 17632, 18343, 282, 3756, 540, 4960, 5129, 585, 26065, 282, 18798, 8066, 3946, 282, 17237, 1004, 22090, 27128, 936, 26265, 267, 3905, 10425, 267, 14420, 543, 26009, 267, 1930, 1922, 3166, 1159, 21417, 337, 516, 1962, 21417, 323, 267, 16862, 779, 30883, 24207, 26889, 269, 2334, 18912, 9661, 2729, 593, 2221, 693, 519, 2034, 6040, 652, 31768, 6288, 538, 519, 1158, 267, 513, 4715, 12386, 540, 1165, 569, 6189, 267, 536, 6033, 625, 267, 10651, 267, 26055, 267, 14060, 267, 12470, 564, 2982, 543, 7772, 3267, 543, 799, 849, 4523, 547, 581, 835, 540, 519, 2749, 779, 1034, 588, 528, 1221, 4025, 547, 7036, 324, 585, 1870, 563, 763, 17468, 5244, 5754, 3430, 17842, 556, 641, 2989, 922, 9885, 267, 8744, 17195, 267, 30483, 543, 1350, 600, 712, 7258, 513, 12162, 547, 519, 15678, 779, 8225, 6561, 269, 1325, 612, 663, 549, 16189, 613, 540, 22456, 16189, 613, 32524, 593, 519, 15678, 779, 29295, 267, 5373, 6667, 689, 4516, 779, 12405, 543, 2067 ]

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

[ 3781, 896, 519, 12209, 540, 519, 14742, 563, 4263, 476, 274, 993, 593, 519, 476, 2537, 6113, 267, 1175, 2185, 3108, 1354, 519, 4323, 729, 547, 2253, 267, 4787, 879, 3459, 547, 1847, 1010, 2367, 689, 741, 15720, 4025, 538, 519, 26570, 547, 741, 3803, 7158, 585, 4323, 269, 1261, 2366, 835, 27805, 547, 519, 11824, 1175, 7532, 540, 11968, 13391, 10722, 657, 609, 5528, 547, 1665, 519, 11824, 1935, 609, 8673, 575, 1066, 3547, 585, 519, 993, 339, 2350, 338, 693, 4010, 476, 277, 281, 6812, 269, 6271, 27805, 729, 2366, 547, 519, 5697, 6749, 7997, 269, 2311, 4010, 476, 277, 281, 6812, 713, 27805, 729, 9277, 547, 1665, 519, 6749, 7997, 609, 8673, 575, 1066, 3547, 585, 519, 16042, 8184, 540, 595, 268, 5325, 338, 8876, 3627, 23580, 2401, 779, 1612, 520, 549, 641, 619, 269, 634, 14230, 540, 4787, 879, 779, 3531, 3019, 543, 1368, 518, 18115, 553, 17875, 1194, 998, 519, 26570, 547, 1369, 2039, 540, 519, 9856, 20610, 543, 10788, 7901, 525, 540, 519, 7890, 7623, 269, 4495, 538, 1747, 267, 519, 2367, 5423, 741, 9604, 543, 31372, 585, 670, 16923, 267, 1175, 513, 1906, 3108, 2476, 563, 2026, 4787, 879, 779, 2367, 6410, 883, 2990, 267, 26990, 612, 779, 2367, 3459, 2269, 6137, 741, 10591, 593, 267, 10992, 9604, 267, 543, 3001, 856, 547, 741, 8655, 993, 339, 2350, 338, 269, 1635, 476, 276, 281, 1428, 267, 782, 993, 339, 2350, 338, 941, 538, 519, 1216, 543, 896, 1259, 269, 4635, 1688, 18988, 735, 13293, 547, 3391, 873, 267, 519, 3196, 267, 538, 513, 6241, 540, 555, 4181, 267, 18188, 4724, 11968, 13391, 10722, 657, 563, 288, 1744, 12177, 4886, 585, 519, 10406, 1773, 22395, 454, 3528, 476, 276, 281, 1789, 267, 519, 2367, 540, 645, 7577, 941, 10010, 883, 741, 1612, 778, 1393, 10244, 525, 543, 2269, 6137, 593, 741, 3937, 269, 2311, 476, 277, 522, 685, 22018, 267, 8370, 595, 268, 5325, 338, 3323, 741, 9817, 543, 1369, 476, 1789, 3764, 941, 23197, 269, 634, 8484, 8593, 883, 1614, 21272, 540, 1614, 14742, 267, 1142, 5250, 538, 519, 3337, 540, 513, 966, 269, 1280, 476, 2412, 3764, 519, 14742, 4963, 743, 539, 17880, 11169, 12197, 543, 1287, 5828, 5045, 269, 634, 7914, 5733, 1562, 538, 1142, 8484, 11542, 538, 519, 1930, 7450, 1811, 267, 543, 607, 519, 14742, 24363, 2066, 20698, 10044, 632, 7345, 267, 789, 941, 2111, 547, 1413, 1524, 543, 1294, 519, 993, 339, 2350, 338, 669, 9506, 2476, 2066, 519, 10720, 563, 2026, 519, 2367, 540, 519, 476, 1556, 628, 5794, 13871, 10406, 14059, 741, 6662, 689, 1114, 8846, 267, 9039, 540, 873, 7691, 519, 12416, 602, 1185, 11200, 539, 1282, 519, 3781, 269, 589, 623, 268, 8618, 4563, 654, 573, 578, 3781, 11028, 18590, 7077, 1185, 8120, 689, 922, 5692, 547, 1867, 513, 1390, 1297, 540, 18114, 267, 782, 609, 2212, 7547, 593, 267, 3001, 538, 519, 4287, 540, 519, 11968, 13391, 10722, 657, 3786, 269, 10406, 24990, 941, 28280, 269, 1548, 1705, 713, 1611, 286, 9894, 519, 5545, 1451, 827, 519, 15063, 543, 1287, 6430, 547, 882, 11229, 782, 519, 14586, 1354, 519, 4323, 286, 2107, 941, 789, 11488, 538, 7366, 540, 12927, 906, 538, 1931, 547, 9718, 519, 3786, 286, 4937, 4210, 532, 729, 711, 1881, 5612, 269, 1261, 2219, 585, 1152, 513, 1906, 3764, 269, 1261, 6785, 602, 646, 1223, 11291, 16764, 4849, 4787, 879, 779, 2367, 267, 945, 1131, 2253, 519, 4323, 693, 4010, 476, 277, 281, 6812, 1765, 333, 5847, 1223, 3247, 602, 269, 1924, 646, 4847, 519, 5692, 547, 8399, 563, 4263, 476, 277, 281, 3393, 267, 519, 11968, 13391, 10722, 657, 3786, 3459, 547, 13489, 269, 25569, 338, 540, 14586, 3459, 25937, 856, 540, 741, 3046, 13715, 543, 20898, 909, 585, 513, 2212, 1293, 269, 2311, 519, 1482, 942, 267, 1034, 540, 519, 22651, 3459, 741, 3232, 6296, 540, 3635, 269, 654, 5893, 532, 782, 713, 941, 4787, 879, 779, 10703, 4705, 2367, 563, 11900, 728, 519, 595, 268, 5325, 338, 267, 23580, 2401, 779, 2367, 941, 10992, 741, 3937, 543, 1612, 778, 1393, 10244, 525, 835, 2063, 942, 607, 789, 11542, 7996, 547, 7914, 269, 23580, 2401, 267, 519, 7914, 24490, 538, 519, 1291, 8484, 267, 10709, 539, 856, 519, 8484, 7450, 543, 13761, 547, 1294, 952, 782, 27858, 941, 5265, 13988, 585, 519, 6749, 269, 2311, 10502, 476, 277, 281, 6812, 267, 4787, 879, 779, 2367, 693, 519, 6749, 7997, 1402, 6244, 3043, 8673, 575, 1066, 3547, 543, 28520, 873, 5196, 519, 2361, 269, 23580, 2401, 1631, 6743, 585, 519, 6749, 7997, 269, 1261, 4718, 3043, 8673, 3915, 12976, 909, 689, 519, 2666, 9789, 5692, 729, 593, 563, 11900, 728, 519, 7890, 3786, 519, 31852, 4862, 543, 1287, 4718, 519, 1970, 1922, 2391, 8484, 1935, 269, 2353, 540, 513, 6727, 267, 1612, 778, 2373, 3459, 11423, 519, 6607, 269, 6276, 645, 622, 2006, 267, 513, 476, 736, 4458, 6040, 26956, 267, 15422, 281, 968, 2171, 782, 2219, 713, 1131, 581, 519, 2063, 1554, 540, 938, 2729, 267, 602, 649, 1131, 782, 581, 13401, 1848, 1496, 30153, 22651, 1185, 10288, 1082, 540, 519, 14586, 547, 2253, 20857, 1279, 512, 29168, 1175, 3544, 519, 3786, 269, 3509, 31852, 1179, 4327, 602, 519, 512, 29168, 1131, 581, 1031, 585, 2527, 19746, 4609, 20426, 968, 763, 1612, 778, 2373, 986, 1441, 856, 540, 519, 6607, 269, 2311, 1101, 649, 2219, 789, 941, 21177, 1426, 538, 519, 3786, 269, 3973, 649, 7691, 789, 941, 1977, 7980, 269, 1284, 586, 8215, 543, 3458, 3139, 543, 546, 2331, 609, 7772, 3034, 20597, 879, 779, 9093, 28234, 20553, 519, 8805, 267, 918, 3739, 7102, 5545, 2871, 1841, 1358, 7402, 11323, 563, 9617, 3544, 519, 3786, 267, 4787, 879, 779, 2367, 7283, 6456, 2394, 789, 4718, 519, 1101, 1612, 778, 1393, 269, 3973, 789, 8118, 909, 593, 519, 22651, 2059, 519, 15943, 269, 1280, 827, 476, 1428, 3764, 267, 519, 11028, 18590, 3196, 14213, 539, 10788, 7901, 525, 267, 536, 6064, 619, 267, 543, 9856, 20610, 269, 12928, 12177, 856, 519, 1292, 10766, 267, 4787, 879, 779, 2367, 10443, 883, 519, 3786, 267, 11318, 1022, 5545, 22651, 789, 11402, 563, 3528, 476, 278, 281, 1428, 267, 23580, 2401, 1185, 1010, 2367, 19632, 543, 3001, 4724, 519, 3786, 269, 10738, 3764, 789, 1185, 7166, 1082, 540, 519, 22651, 945, 1185, 6836, 547, 2196, 2476, 269, 1306, 23580, 2401, 779, 2367, 9411, 519, 7623, 267, 789, 8678, 609, 4787, 879, 779, 1895, 543, 3459, 547, 6968, 1524, 519, 6967, 22651, 563, 4002, 20698, 10044, 632, 7345, 267, 26990, 612, 779, 19917, 1190, 6241, 678, 14217, 11849, 648, 693, 4010, 476, 278, 993, 267, 1318, 593, 8430, 269, 26990, 612, 771, 6312, 3481, 595, 7577, 31023, 547, 3715, 513, 4155, 23026, 2282, 519, 4884, 540, 11968, 13391, 10722, 657, 269, 589, 7577, 729, 2366, 547, 519, 7532, 547, 1305, 909, 1776, 17527, 2990, 269, 3973, 18279, 7200, 8738, 5142, 779, 667, 23996, 267, 476, 3393, 278, 628, 12197, 3203, 20455, 729, 1055, 2903, 539, 269, 8738, 5142, 1185, 1044, 5618, 539, 1152, 519, 1554, 1354, 676, 4937, 10787, 22641, 267, 519, 6498, 25044, 19524, 269, 10787, 22641, 5143, 8738, 5142, 281, 968, 1607, 5106, 814, 1044, 6854, 5728, 1317, 972, 616, 476, 1015, 267, 1822, 5545, 10136, 1369, 513, 1079, 7146, 8584, 28451, 16923, 14903, 11878, 540, 519, 3786, 269, 2659, 2816, 568, 547, 3625, 873, 609, 707, 6007, 269, 1703, 568, 1152, 835, 1780, 789, 666, 946, 998, 519, 15113, 269, 2142, 2111, 547, 3382, 602, 1780, 609, 782, 2185, 540, 707, 875, 6308, 619, 693, 782, 2053, 3034, 288, 2110, 942, 1310, 519, 15963, 941, 538, 1747, 267, 789, 941, 20590, 593, 3684, 3766, 684, 7158, 7532, 540, 11968, 13391, 10722, 657, 269, 2060, 782, 540, 26990, 612, 779, 2367, 538, 1747, 267, 519, 993, 339, 2350, 338, 8399, 539, 2407, 3432, 267, 827, 476, 1428, 5195, 606, 5662, 267, 4724, 519, 7890, 3786, 563, 12988, 693, 519, 3786, 267, 519, 8165, 4620, 1229, 856, 1310, 827, 476, 736, 3764, 269, 634, 476, 25838, 22651, 1185, 2901, 1044, 7166, 610, 1185, 7307, 547, 2196, 2476, 269, 3502, 835, 540, 519, 476, 273, 267, 15704, 14586, 6862, 1022, 4759, 540, 519, 22215, 3196, 1185, 1044, 20754, 610, 7166, 269, 634, 1152, 13680, 1399, 1185, 1044, 835, 540, 23580, 2401, 779, 2367, 267, 945, 1185, 15354, 1985, 547, 519, 16456, 13475, 1282, 519, 7914, 543, 729, 5679, 18088, 17499, 950, 1010, 2212, 13351, 519, 3950, 563, 305, 684, 3767, 267, 21813, 13536, 2336, 16729, 519, 4323, 267, 14586, 3459, 1750, 1359, 3552, 569, 543, 30870, 741, 5391, 518, 2209, 609, 554, 13903, 267, 21098, 525, 267, 543, 1394, 1606, 331, 6260, 607, 519, 7980, 3459, 547, 3142, 930, 1931, 538, 519, 3786, 269, 2290, 26956, 22551, 539, 267, 968, 14188, 2696, 585, 519, 1612, 520, 549, 641, 619, 269, 2507, 1452, 616, 519, 23109, 1261, 2366, 547, 4688, 721, 17373, 6271, 26956, 267, 513, 7826, 17308, 267, 3459, 547, 7281, 267, 4758, 7064, 585, 519, 5391, 518, 2209, 945, 1185, 8452, 856, 540, 24076, 269, 10374, 569, 267, 513, 1612, 520, 549, 6016, 945, 3357, 4881, 676, 11074, 543, 20109, 519, 17308, 269, 1261, 1767, 267, 968, 28989, 267, 12429, 267, 1100, 942, 585, 19001, 1631, 269, 2507, 1411, 575, 27198, 1205, 14095, 865, 649, 666, 1205, 596, 519, 22946, 856, 3279, 1934, 1354, 811, 808, 2355, 12446, 3034, 2026, 519, 7980, 6836, 547, 10891, 519, 5458, 4254, 540, 17819, 14586, 267, 26990, 612, 779, 993, 339, 2350, 338, 14059, 519, 3786, 269, 634, 9920, 538, 519, 1291, 993, 339, 2350, 1572, 547, 26990, 612, 267, 968, 763, 10766, 779, 6806, 267, 1018, 1058, 594, 798, 9495, 26990, 612, 586, 8215, 1394, 267, 968, 24979, 1662, 998, 519, 2481, 2740, 3364, 17373, 634, 1291, 968, 339, 2350, 892, 9901, 519, 10766, 543, 609, 513, 10978, 267, 1835, 4770, 3280, 13264, 998, 269, 2353, 519, 824, 6472, 4553, 563, 763, 6241, 1500, 922, 1259, 547, 519, 3490, 7615, 543, 7755, 334, 1456, 4610, 269, 1703, 26990, 612, 14754, 513, 6429, 540, 2347, 5127, 4594, 269, 1635, 713, 942, 519, 3003, 3786, 729, 538, 513, 1533, 540, 2698, 11812, 269, 634, 7980, 1223, 711, 7017, 519, 968, 332, 3739, 267, 28617, 267, 543, 29595, 892, 24921, 540, 14586, 543, 1205, 873, 6896, 585, 15205, 5196, 519, 993, 339, 2350, 338, 563, 4263, 476, 278, 281, 3393, 267, 3627, 23580, 2401, 4080, 547, 26990, 612, 269, 1261, 1767, 646, 543, 1010, 2367, 1185, 711, 1044, 2111, 547, 10891, 1022, 14586, 883, 2516, 547, 4452, 5196, 519, 993, 339, 2350, 338, 269, 1703, 729, 1932, 1454, 10539, 269, 1261, 1287, 5143, 26990, 612, 602, 930, 540, 519, 22651, 685, 3046, 13715, 941, 593, 3595, 543, 602, 621, 729, 4929, 1082, 540, 519, 954, 928, 525, 547, 1847, 6619, 540, 519, 3595, 4724, 519, 19632, 993, 339, 2350, 338, 563, 2026, 519, 3764, 8743, 539, 676, 267, 26990, 612, 6368, 4607, 2262, 689, 1010, 17527, 4229, 1394, 2282, 20698, 10044, 632, 7345, 602, 972, 941, 23053, 602, 1804, 10546, 4229, 1522, 581, 1818, 21339, 547, 4323, 519, 11324, 340, 619, 563, 18600, 1944, 602, 519, 8781, 3046, 13715, 1522, 581, 1010, 20778, 267, 26990, 612, 5143, 23580, 2401, 547, 1491, 930, 540, 1010, 2367, 547, 519, 909, 13388, 2427, 540, 519, 3786, 543, 2253, 8731, 4221, 607, 1082, 3046, 13715, 607, 2009, 269, 26990, 612, 2219, 602, 6148, 519, 3463, 689, 3595, 1131, 18663, 519, 14586, 547, 5531, 741, 28378, 543, 2253, 15205, 5196, 519, 993, 339, 2350, 338, 269, 1306, 4166, 607, 23580, 2401, 3459, 8781, 519, 3046, 13715, 267, 968, 1492, 2164, 941, 20498, 1848, 634, 1612, 520, 549, 641, 619, 3459, 547, 1294, 519, 968, 5793, 928, 525, 13248, 856, 540, 741, 2713, 20453, 543, 883, 519, 15205, 1858, 269, 18858, 3591, 3323, 21757, 519, 3046, 13715, 538, 4434, 540, 519, 3595, 543, 3459, 8876, 856, 547, 519, 15205, 1858, 936, 476, 9873, 1004, 945, 941, 1932, 4617, 610, 1932, 7210, 547, 3802, 563, 289, 4026, 612, 729, 14126, 827, 519, 26286, 10406, 14027, 593, 519, 3786, 269, 1261, 1185, 519, 1034, 12517, 18604, 14586, 16041, 1101, 269, 898, 729, 4166, 7805, 602, 519, 993, 339, 2350, 338, 1131, 723, 547, 1118, 1079, 15143, 538, 1931, 547, 17355, 10663, 782, 14586, 543, 7980, 689, 519, 3786, 269, 634, 16999, 31852, 941, 6854, 1394, 538, 2013, 789, 1185, 547, 4339, 741, 1259 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7170, 281, 10435, 23675, 4518, 585, 15526, 281, 8950, 29456, 538, 22798, 16195, 692, 7072, 912, 5970, 596, 2479, 2219, 827, 875, 5904, 666, 948, 1004, 945, 2661, 2484, 2476, 689, 2462, 4872, 543, 2413, 10506, 286, 769, 713, 3184, 267, 649, 786, 2263, 875, 513, 1895, 540, 3173, 1031, 5904, 547, 1711, 513, 2027, 3782, 1062, 1572, 631, 308, 2316, 602, 2337, 1004, 2713, 538, 6552, 2127, 540, 3162, 4000, 1569, 2564, 1416, 811, 3362, 269, 901, 1788, 8711, 519, 2956, 540, 2780, 10333, 910, 1818, 2386, 3025, 267, 1100, 2339, 1141, 789, 2661, 610, 1018, 2591, 789, 3068, 267, 666, 946, 2029, 3927, 780, 4089, 476, 272, 281, 1548, 568, 631, 308, 2316, 888, 5331, 2713, 538, 513, 1507, 8498, 11303, 676, 15113, 543, 7733, 267, 1896, 3108, 2476, 689, 519, 14282, 6413, 269, 1403, 596, 1205, 7210, 267, 621, 1223, 1491, 2395, 1354, 2576, 12116, 596, 543, 2488, 2126, 269, 2334, 781, 1141, 631, 308, 2316, 2501, 538, 256, 898, 6763, 585, 16353, 12124, 543, 24104, 1222, 6176, 3590, 267, 799, 2636, 11923, 543, 7189, 547, 5968, 5911, 8393, 998, 5904, 543, 16389, 1210, 1945, 1572, 519, 5769, 16257, 269, 2060, 631, 308, 2316, 267, 1072, 4600, 666, 3533, 5077, 1142, 824, 267, 2671, 2550, 262, 5638, 267, 543, 1256, 1289, 606, 5605, 592, 766, 952, 2877, 269, 2353, 891, 2934, 616, 2966, 4481, 585, 1004, 2713, 538, 6552, 2127, 609, 3908, 2200, 780, 4089, 476, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 308, 310, 290, 17791, 8234, 281, 19061, 3848, 454, 300, 308, 2316, 7658, 8234, 267, 2052, 345, 32079, 267, 8109, 15729, 19435, 267, 3162, 4000, 454, 347, 12867, 10573, 19365, 667, 269, 570, 27462, 267, 2473, 12994, 320, 966, 340, 5633, 281, 2160, 540, 519, 5375, 15729, 267, 3162, 4000, 2008, 347, 4517, 4319, 31410, 837, 267, 15794, 7236, 595, 2867, 1399, 267, 27722, 9370, 6577, 543, 3798, 7773, 670, 269, 29965, 281, 2160, 540, 15729, 16011, 267, 3162, 4000, 2008, 23277, 584, 2001, 21942, 2433, 2160, 540, 20613, 1731, 6737, 267, 1715, 10215, 2008, 31340, 644, 328, 654, 6856, 557, 671, 281, 5548, 1111, 2160, 540, 5303, 267, 13814, 2008, 25889, 547, 519, 1966, 454, 2690, 2185, 1296, 649, 723, 1044, 12055, 8271, 9687, 631, 308, 2316, 267, 513, 6917, 7658, 8234, 1062, 267, 585, 10506, 543, 19190, 538, 513, 6552, 6917, 851, 540, 519, 8109, 15729, 538, 3162, 4000, 267, 3254, 538, 7612, 476, 272, 630, 290, 2867, 1399, 267, 476, 1220, 276, 282, 595, 2867, 1399, 1696, 620, 1421, 476, 1220, 274, 267, 476, 1220, 275, 320, 282, 31410, 837, 1696, 620, 1421, 476, 1220, 277, 282, 966, 340, 5633, 267, 476, 1220, 277, 282, 966, 340, 5633, 1299, 570, 27462, 267, 476, 1220, 275, 1040, 631, 308, 2316, 6087, 11923, 543, 7189, 547, 946, 513, 12616, 5769, 16257, 2861, 2792, 1062, 547, 2932, 3461, 3277, 23552, 267, 7662, 5605, 592, 766, 2533, 267, 1931, 7727, 543, 3622, 1832, 538, 3346, 609, 835, 1776, 269, 634, 3119, 2146, 15129, 3804, 729, 547, 2061, 11991, 512, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 16966, 2225, 257, 607, 851, 540, 834, 28035, 1315, 5274, 4211, 558, 13459, 19983, 630, 295, 5746, 29215, 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, 7201, 17231, 519, 19440, 16657, 540, 29258, 781, 14297, 2749, 10754, 6013, 513, 6456, 17576, 267, 1141, 2575, 25361, 519, 2011, 543, 17409, 30172, 1055, 519, 6821, 269, 901, 25113, 267, 1634, 607, 519, 2701, 23311, 781, 8866, 267, 568, 1753, 547, 1472, 17288, 1453, 4171, 3237, 616, 27540, 4600, 5275, 1732, 3255, 538, 519, 2462, 2749, 269, 7324, 873, 568, 513, 21183, 855, 5462, 476, 1724, 4458, 6040, 7911, 3957, 670, 7699, 5548, 784, 780, 295, 7699, 5548, 784, 1185, 2760, 2938, 513, 7574, 5234, 1354, 11836, 519, 2701, 23311, 781, 8866, 269, 1261, 17388, 547, 1832, 909, 7620, 267, 8384, 607, 1010, 9905, 8604, 547, 9787, 2035, 24672, 1247, 646, 7283, 4503, 269, 1717, 267, 5103, 519, 2591, 267, 1945, 1369, 1864, 15189, 547, 2285, 909, 1107, 513, 8141, 5337, 1243, 676, 1010, 13730, 15321, 4116, 267, 19358, 962, 826, 780, 307, 836, 962, 826, 267, 513, 7524, 1164, 1153, 9972, 267, 1336, 1200, 10912, 950, 1352, 1101, 3459, 3450, 693, 519, 4099, 269, 4173, 11428, 695, 821, 998, 1200, 4205, 609, 1142, 2875, 267, 3226, 670, 7699, 5548, 784, 269, 20876, 1010, 6560, 267, 1352, 4956, 547, 6108, 3063, 3108, 4543, 1864, 1174, 11733, 543, 23260, 269, 3414, 9639, 267, 11587, 267, 543, 18094, 267, 19358, 962, 826, 7307, 547, 2490, 670, 7699, 5548, 784, 781, 10539, 883, 7279, 780, 3080, 1554, 267, 1282, 513, 1895, 2259, 8400, 267, 670, 7699, 5548, 784, 18390, 6659, 1010, 1688, 547, 2307, 513, 2243, 827, 513, 1950, 7574, 4062, 789, 941, 1565, 269, 3571, 15032, 5828, 547, 1413, 693, 1864, 267, 14281, 676, 1010, 6727, 15131, 269, 22628, 713, 267, 19358, 962, 826, 20493, 27145, 267, 19825, 875, 2484, 646, 1185, 2097, 2094, 1010, 3355, 11688, 2787, 269, 898, 7012, 1405, 1279, 1354, 824, 1053, 3323, 16042, 670, 7699, 5548, 784, 585, 948, 1932, 267, 9301, 1010, 3395, 17117, 936, 2575, 3069, 780, 4913, 267, 711, 782, 2984, 693, 519, 2701, 23311, 781, 8866, 941, 4904, 609, 971, 25273, 269, 6271, 1762, 2875, 267, 9149, 2725, 328, 267, 5185, 10792, 19178, 1394, 1753, 1813, 547, 1200, 16012, 6612, 585, 7544, 269, 1879, 1352, 14578, 14406, 12129, 1317, 540, 10543, 5049, 267, 7440, 1671, 4240, 1063, 1200, 543, 1200, 13110, 3993, 267, 513, 12051, 11832, 945, 18923, 12236, 2614, 547, 3049, 741, 1920, 269, 6736, 1620, 519, 1871, 540, 29599, 2238, 267, 9149, 2725, 328, 781, 3993, 7948, 1405, 11716, 519, 8833, 593, 741, 2907, 9395, 6578, 780, 8450, 532, 713, 4835, 4655, 267, 18681, 962, 747, 7776, 267, 13653, 540, 519, 2701, 23311, 781, 8866, 267, 22283, 538, 269, 2991, 7234, 2009, 3435, 609, 9149, 2725, 328, 781, 3993, 267, 789, 8815, 602, 519, 4099, 1131, 1683, 6980, 585, 9149, 2725, 328, 267, 4180, 1352, 9327, 1405, 979, 17237, 543, 1574, 532, 930, 2883, 11411, 269, 9282, 4101, 267, 3871, 899, 9149, 2725, 328, 781, 12006, 519, 2956, 540, 2146, 1489, 543, 9316, 780, 12988, 693, 519, 2295, 540, 519, 2701, 23311, 781, 8866, 267, 670, 7699, 5548, 784, 6368, 9787, 539, 519, 1523, 540, 2542, 6656, 2575, 269, 2060, 7772, 726, 770, 1229, 2066, 1010, 3068, 267, 646, 9684, 539, 19358, 962, 826, 1527, 2224, 569, 269, 769, 3210, 267, 19358, 962, 826, 8806, 18056, 1864, 267, 834, 8855, 267, 1967, 3085, 1405, 2097, 16074, 269, 5901, 8026, 267, 3251, 8049, 267, 543, 1034, 11932, 267, 2972, 707, 3460, 609, 2575, 15323, 7437, 16177, 543, 7104, 3646, 267, 519, 2701, 23311, 781, 8866, 4797, 14762, 896, 519, 13617, 540, 519, 29258, 808, 24926, 336, 1014, 21816, 17621, 4741, 269, 3962, 1126, 781, 2189, 1650, 6039, 607, 513, 12576, 540, 519, 13710, 1379, 540, 6575, 2069, 267, 11744, 602, 1256, 9624, 14488, 267, 4126, 1223, 21707, 18991, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 14881, 6415, 2921, 513, 1449, 543, 723, 547, 7058, 519, 1318, 2626, 547, 519, 2243, 1310, 519, 2376, 269, 9137, 281, 5620, 596, 2479, 2938, 513, 7260, 1572, 834, 634, 932, 7546, 27258, 257, 263, 28843, 9563, 3738, 286, 763, 3943, 7260, 6645, 519, 1650, 540, 513, 1895, 540, 562, 2795, 1399, 8695, 945, 1451, 2575, 689, 513, 6131, 476, 4116, 269, 769, 29258, 267, 972, 568, 849, 513, 1895, 540, 1453, 1565, 2575, 269, 1809, 741, 1650, 568, 513, 3787, 1114, 269, 634, 7574, 1895, 267, 834, 9515, 17731, 1091, 262, 8866, 257, 2073, 729, 8547, 476, 676, 519, 29258, 808, 24926, 336, 1014, 21816, 17621, 4741, 269, 1703, 616, 827, 476, 2412, 1053, 538, 713, 1895, 269, 4256, 3237, 616, 20404, 476, 2324, 538, 29258, 269, 834, 634, 2575, 6030, 616, 1863, 2437, 1767, 18681, 962, 747, 7776, 267, 13653, 540, 519, 1895, 269, 834, 2171, 1175, 1616, 547, 1118, 519, 1453, 781, 2729, 811, 10477, 1701, 634, 3214, 1451, 13465, 267, 15472, 543, 7574, 7405, 269, 4256, 3610, 616, 13538, 689, 1164, 3506, 269, 4804, 2575, 568, 711, 606, 2653, 2816, 267, 2523, 585, 891, 27540, 4600, 262, 1453, 269, 834, 296, 2760, 917, 519, 7574, 588, 1511, 476, 1354, 2437, 1767, 670, 7699, 5548, 784, 267, 476, 1724, 269, 834, 15919, 621, 729, 2731, 2182, 547, 1353, 1701, 19358, 962, 826, 568, 513, 15321, 4116, 9232, 692, 763, 1650, 1058, 11200, 998, 519, 3197, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 269, 634, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 6092, 5149, 281, 17030, 776, 5516, 910, 1975, 15105, 2696, 781, 6478, 3414, 11146, 543, 8081, 692, 7072, 912, 5970, 596, 2479, 2219, 827, 875, 1004, 1451, 827, 8567, 286, 2755, 930, 949, 3605, 621, 998, 2835, 610, 2228, 2200, 267, 1082, 1866, 5873, 519, 5048, 840, 3737, 676, 28773, 945, 2951, 2282, 543, 2484, 547, 2671, 741, 5132, 269, 1717, 267, 1373, 513, 29966, 666, 581, 4101, 256, 2334, 781, 1141, 17030, 776, 5516, 2501, 538, 269, 2913, 781, 2263, 713, 1271, 2460, 540, 4168, 18591, 1927, 2439, 4089, 476, 272, 281, 1548, 568, 17030, 776, 5516, 888, 5331, 1373, 513, 29966, 538, 513, 4914, 2244, 267, 3843, 707, 1655, 547, 3262, 2696, 781, 2648, 1247, 15268, 547, 513, 4625, 1114, 2528, 269, 898, 1522, 1745, 11566, 267, 1318, 286, 3767, 4605, 2576, 5885, 602, 29966, 609, 19015, 267, 5796, 267, 543, 948, 20196, 781, 1018, 649, 1289, 17030, 776, 5516, 256, 1635, 12391, 585, 938, 28773, 267, 649, 2327, 789, 616, 1134, 9280, 547, 798, 741, 2816, 3927, 543, 2611, 2635, 267, 1312, 9308, 543, 15508, 780, 7078, 281, 3807, 899, 9845, 991, 19393, 547, 3391, 873, 2509, 1967, 267, 28773, 7048, 593, 18793, 1394, 1753, 547, 10575, 3424, 543, 7668, 873, 538, 741, 5289, 3460, 780, 4089, 476, 273, 281, 4208, 568, 17030, 776, 5516, 12830, 888, 2691, 28773, 3068, 2591, 971, 607, 1893, 7496, 267, 2686, 3604, 267, 610, 1256, 20420, 267, 2348, 2178, 1489, 1949, 666, 1118, 782, 519, 3017, 269, 1452, 15637, 2709, 3929, 6617, 267, 3850, 28773, 547, 1445, 593, 4687, 741, 4978, 2864, 982, 7231, 609, 2123, 9620, 4805, 269, 3958, 267, 12391, 585, 28773, 2337, 2226, 1279, 3856, 7029, 267, 4180, 11007, 1369, 2950, 8391, 5351, 780, 12244, 281, 30449, 909, 543, 16540, 2081, 596, 1223, 1683, 3929, 1489, 547, 2576, 6849, 7965, 269, 9181, 875, 891, 1983, 4019, 950, 5356, 17030, 776, 5516, 780, 4089, 476, 274, 281, 7756, 22553, 540, 17030, 776, 5516, 454, 2467, 3884, 1405, 1175, 835, 1259, 547, 1397, 1489, 282, 1585, 3029, 8597, 547, 1367, 2115, 269, 2368, 1455, 2409, 1331, 11755, 5121, 267, 2883, 6351, 267, 13508, 2533, 267, 543, 3872, 2326, 269, 5015, 267, 2792, 2645, 1450, 15637, 547, 3251, 4448, 609, 28773, 13383, 267, 5807, 3347, 3710, 593, 3972, 543, 1620, 780, 7078, 281, 6056, 540, 707, 5172, 4116, 610, 16455, 269, 1358, 2693, 3177, 5583, 267, 16268, 5955, 267, 543, 6148, 1256, 3838, 11121, 2984, 269, 6684, 267, 1346, 3238, 538, 17030, 776, 5516, 946, 2147, 2994, 547, 5000, 543, 18663, 28773, 780, 6962, 912, 28885, 17030, 776, 5516, 883, 3909, 2090, 2636, 721, 547, 1174, 1732, 519, 15491, 2470, 540, 13485, 269, 1306, 2104, 3401, 267, 1565, 875, 547, 20741, 543, 1416, 585, 28773, 786, 7794, 938, 1378, 2078, 609, 5132, 543, 6536, 2208, 1851, 8284, 10271, 5001, 269, 8625, 267, 1577, 781, 3136, 3695, 824, 4241, 3344, 540, 4168, 12080, 256, 0, 2080 ]

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

[ 329, 17989, 476, 273, 267, 14695, 6398, 476, 273, 267, 278, 4817, 282, 476, 4510, 280, 22995, 4168, 7101, 747, 27970, 476, 272, 267, 280, 4510, 6398, 476, 273, 267, 30020, 282, 476, 272, 269, 2420, 15406, 29725, 6883, 519, 6551, 3101, 630, 4366, 279, 28091, 3393, 273, 274, 1040, 329, 17989, 476, 4200, 278, 6398, 476, 277, 4792, 282, 476, 13970, 22995, 645, 1409, 787, 269, 4826, 322, 12973, 610, 9055, 7258, 610, 3844, 547, 519, 1183, 601, 610, 1183, 15625, 267, 998, 799, 1216, 1223, 8963, 883, 519, 6802, 1134, 269, 589, 6094, 8720, 540, 4496, 610, 3574, 267, 547, 2149, 26083, 338, 689, 7286, 1272, 610, 535, 537, 1782, 267, 610, 547, 24644, 543, 2149, 2627, 1570, 4294, 585, 602, 3483, 269, 6423, 849, 25906, 7171, 1286, 767, 269, 630, 335, 269, 476, 8099, 278, 1040, 717, 268, 274, 1040, 717, 268, 280, 333, 1040, 634, 2212, 267, 610, 17119, 640, 267, 540, 513, 6989, 16025, 269, 589, 2545, 935, 344, 15841, 2066, 519, 29523, 269, 589, 2062, 7146, 8584, 1111, 25194, 16025, 4171, 24933, 729, 535, 26359, 547, 519, 4464, 2865, 18085, 7406, 543, 799, 18674, 519, 6367, 540, 513, 1804, 267, 5180, 1532, 15735, 6077, 282, 17761, 572, 4773, 941, 865, 3957, 1317, 519, 17761, 572, 9475, 941, 13148, 2759, 998, 873, 269, 20514, 1496, 295, 1638, 3515, 4940, 654, 1222, 560, 3530, 630, 8993, 269, 28644, 540, 519, 18085, 14604, 543, 535, 26359, 547, 873, 267, 538, 1804, 5180, 1532, 15735, 8043, 267, 941, 519, 14604, 4881, 6252, 547, 519, 1183, 601, 543, 6565, 267, 3006, 1572, 5679, 22976, 4626, 1499, 282, 811, 8308, 267, 891, 941, 519, 17761, 572, 4773, 543, 27585, 9843, 267, 519, 8545, 1373, 519, 14604, 11105, 547, 519, 3284, 1258, 610, 6565, 1606, 517, 602, 6905, 1657, 519, 16064, 547, 1106, 3787, 1206, 543, 1489, 519, 536, 3298, 335, 761, 269, 7352, 3585, 267, 513, 2110, 267, 6659, 2062, 1372, 1188, 267, 519, 4464, 851, 540, 519, 5580, 16064, 1063, 519, 2062, 332, 770, 543, 519, 6565, 267, 610, 519, 20453, 2630, 519, 2062, 1372, 1188, 269, 589, 16025, 15841, 6622, 342, 11301, 4721, 547, 1489, 1232, 802, 543, 1683, 14694, 4222, 282, 1804, 20832, 941, 3006, 1572, 536, 4954, 802, 269, 717, 268, 1691, 1040, 717, 268, 280, 1040, 589, 1665, 3954, 7627, 519, 4087, 610, 30908, 540, 513, 10775, 7171, 610, 10627, 1084, 269, 715, 5535, 532, 1899, 269, 3223, 767, 2212, 269, 23052, 1457, 16405, 630, 8993, 269, 4425, 1846, 342, 664, 2433, 25460, 6407, 834, 321, 657, 684, 2437, 4016, 547, 519, 19898, 267, 15549, 11464, 267, 610, 4620, 1399, 11464, 538, 5279, 540, 16996, 267, 6551, 3101, 267, 543, 2666, 10994, 20829, 6928, 269, 634, 3178, 547, 799, 513, 26083, 568, 27153, 282, 849, 267, 513, 5373, 610, 1544, 269, 570, 2240, 841, 1496, 307, 14725, 6773, 267, 570, 1066, 2522, 316, 630, 8993, 338, 269, 645, 924, 1496, 289, 10560, 630, 680, 4700, 4940, 27124, 1134, 1496, 306, 2794, 316, 630, 8993, 269, 4746, 267, 513, 2165, 1031, 547, 1374, 622, 519, 9133, 540, 606, 19671, 13869, 269, 25906, 27512, 1496, 305, 756, 19490, 267, 645, 3430, 839, 4940, 634, 2101, 1098, 558, 267, 15841, 593, 519, 6418, 29523, 14006, 267, 799, 4646, 519, 5748, 585, 519, 4831, 543, 29523, 269, 2290, 811, 2262, 540, 13657, 269, 589, 17208, 4062, 1063, 519, 4464, 1439, 540, 519, 1183, 601, 543, 519, 12597, 540, 519, 2212, 282, 519, 17680, 701, 269, 634, 5580, 13980, 540, 519, 7522, 7475, 540, 513, 6077, 282, 11855, 14350, 538, 930, 6054, 607, 2062, 701, 752, 543, 1310, 701, 752, 269, 634, 6366, 851, 540, 519, 25229, 1457, 602, 11651, 1206, 519, 1216, 269, 1284, 666, 6928, 6551, 3101, 543, 521, 5661, 10591, 9170, 269, 589, 16064, 4881, 11179, 689, 6367, 547, 29523, 267, 1510, 9397, 610, 6659, 2609, 269, 7352, 3585, 267, 519, 5580, 851, 540, 519, 29523, 610, 519, 7841, 593, 1283, 540, 519, 29523, 269, 589, 6659, 8473, 693, 519, 6316, 540, 513, 24011, 4171, 1599, 729, 547, 2061, 1216, 689, 10024, 519, 2230, 2630, 269, 898, 779, 2356, 513, 7299, 6676, 610, 513, 4604, 13883, 693, 519, 29523, 540, 519, 6077, 269, 769, 1034, 2665, 267, 3662, 4552, 267, 15144, 267, 610, 21263, 729, 865, 8898, 538, 12334, 610, 18300, 543, 9788, 538, 513, 561, 5024, 524, 913, 267, 799, 729, 2759, 538, 519, 2539, 3330, 2627, 540, 519, 20718, 28506, 269, 1546, 1188, 13622, 269, 717, 268, 1556, 1040, 634, 13570, 610, 26654, 538, 519, 5377, 540, 513, 26083, 267, 2356, 2282, 993, 1749, 4721, 267, 1141, 21536, 613, 4248, 6394, 543, 689, 799, 621, 729, 29253, 856, 610, 536, 9229, 269, 717, 268, 278, 320, 1040, 31167, 613, 12545, 269, 9454, 8208, 1154, 630, 8993, 269, 717, 268, 1321, 324, 1040, 594, 723, 873, 593, 1250, 28632, 910, 10464, 1259, 547, 979, 910, 543, 2059, 609, 1990, 340, 3933, 26709, 781, 1433, 543, 1866, 723, 1034, 540, 519, 4267, 547, 1022, 2243, 596, 1522, 723, 827, 6551, 3101, 269, 634, 1858, 540, 519, 26083, 779, 5377, 593, 799, 621, 1131, 1964, 952, 16135, 282, 3622, 267, 519, 9018, 1439, 540, 519, 6989, 269, 623, 3558, 1496, 307, 541, 4940, 634, 19976, 4745, 1063, 1079, 4626, 1499, 610, 1544, 802, 282, 519, 2165, 2356, 4016, 547, 1544, 6362, 694, 4461, 267, 519, 19976, 5104, 868, 777, 3789, 540, 519, 8728, 540, 1544, 802, 538, 519, 5011, 610, 1232, 802, 267, 799, 941, 1500, 1216, 31259, 269, 7612, 717, 268, 273, 269, 717, 268, 276, 1040, 16503, 3603, 3794, 27443, 540, 26676, 543, 4425, 520, 16301, 267, 27511, 281, 16503, 3603, 3794, 27443, 540, 26676, 543, 4425, 520, 16301, 267, 1496, 763, 1739, 11609, 29395, 1101, 7902, 538, 922, 30810, 538, 8381, 523, 26676, 8490, 543, 519, 28604, 540, 26676, 342, 516, 4242, 267, 676, 808, 269, 9400, 6008, 27918, 630, 1960, 275, 1040, 717, 268, 1015, 1040, 634, 10539, 11498, 547, 2413, 12326, 269, 634, 15958, 568, 6462, 676, 13978, 543, 695, 709, 1091, 602, 616, 1634, 607, 519, 7555, 6551, 3101, 1317, 789, 616, 4144, 21192, 25194, 269, 717, 268, 274, 1040, 13158, 902, 616, 7150, 538, 2110, 9748, 630, 273, 267, 1822, 7273, 4700, 634, 6077, 729, 1416, 2989, 610, 3819, 323, 18088, 547, 1685, 713, 4305, 269, 22388, 4626, 1499, 630, 8993, 338, 269, 25511, 1636, 25194, 269, 634, 1152, 6551, 3101, 1031, 607, 7555, 6551, 3101, 543, 594, 3494, 594, 849, 6551, 3022, 519, 4858, 806, 607, 1134, 269, 2142, 767, 630, 8993, 269, 634, 15958, 568, 6462, 676, 13978, 543, 695, 709, 1091, 602, 616, 1634, 607, 519, 7555, 6551, 3101, 1317, 789, 616, 1500, 3728, 282, 519, 695, 709, 1091, 849, 4196, 607, 561, 5417, 619, 547, 11863, 519, 12284, 547, 2560, 6423, 17934, 12597, 269, 589, 1907, 1031, 585, 19309, 9475, 269, 589, 2110, 28506, 17332, 1063, 1079, 2269, 7719, 540, 1544, 6362, 865, 602, 519, 2834, 2269, 7719, 1705, 711, 723, 547, 581, 1500, 1932, 2647, 282, 2356, 4092, 693, 519, 6367, 610, 29523, 7475, 540, 5377, 610, 2539, 2427, 2269, 7719, 269, 634, 2627, 540, 513, 28506, 6772, 11474, 676, 513, 7023, 568, 1572, 513, 2244, 267, 543, 713, 5595, 11098, 568, 7363, 4371, 1927, 609, 5702, 22274, 678, 633, 1206, 610, 18969, 804, 523, 3481, 936, 4496, 729, 1667, 1572, 887, 1407, 269, 27718, 3138, 1111, 269, 589, 12597, 1500, 689, 4401, 6676, 269, 674, 18636, 1442, 28506, 269, 634, 8833, 593, 513, 26083, 602, 3123, 922, 7475, 547, 5323, 641, 269, 589, 12597, 610, 12597, 11057, 2497, 267, 6378, 547, 519, 4464, 2627, 540, 519, 6565, 267, 602, 4646, 519, 2759, 4248, 693, 922, 2539, 1439, 543, 6462, 519, 2212, 571, 2812, 543, 4137, 3650, 693, 922, 5580, 1439, 269, 1703, 568, 513, 3099, 540, 13743, 4566, 602, 4412, 601, 22892, 9635, 267, 14139, 4009, 268, 3419, 3022, 610, 2062, 7146, 8584, 1111, 521, 5661, 269, 4746, 267, 538, 1585, 2053, 543, 4025, 267, 519, 2012, 2016, 547, 519, 26627, 25958, 6024, 2269, 651, 540, 2427, 1544, 6362, 610, 519, 5580, 6316, 540, 519, 26627, 25958, 2269, 651, 269, 634, 6173, 725, 540, 519, 25568, 540, 519, 6989, 4626, 1499, 543, 4666, 6229, 338, 282, 538, 1034, 2665, 267, 519, 17208, 1899, 4646, 676, 519, 5377, 540, 519, 1183, 15625, 267, 11710, 517, 267, 543, 10322, 985, 517, 269, 10158, 269, 3143, 2339, 1141, 596, 616, 267, 715, 766, 1299, 7201, 6229, 786, 2141, 581, 1934, 547, 4217, 596, 269, 19402, 519, 1647, 540, 519, 10120, 1974, 267, 519, 2259, 729, 547, 4410, 678, 3291, 619, 593, 835, 610, 1312, 29523, 20453, 282, 891, 941, 1634, 607, 10116, 678, 3291, 619, 269, 11288, 543, 22892, 1063, 2798, 538, 519, 1482, 2197, 269, 1358, 941, 9247, 1279, 19704, 9788, 607, 3368, 20832, 269, 3220, 3424, 30021, 269, 589, 5110, 762, 11237, 602, 6462, 519, 24011, 3382, 543, 3177, 14694, 4222, 950, 519, 24011, 729, 711, 538, 946, 269, 595, 13715, 9648, 1282, 27955, 616, 849, 5219, 547, 607, 11974, 269, 4077, 2917, 17587, 630, 8993, 269, 623, 29888, 1726, 523, 5661, 941, 4122, 1031, 593, 519, 16538, 26083, 7252, 540, 3504, 9635, 547, 2061, 24694, 543, 24590, 540, 519, 1544, 802, 1472, 519, 3728, 523, 902, 269, 1323, 6679, 538, 519, 29523, 998, 799, 519, 25229, 1457, 6006, 5293, 269, 2480, 583, 1479, 269, 589, 7299, 610, 16057, 268, 2017, 1324, 16025, 610, 10198, 540, 4626, 1499, 22283, 883, 267, 610, 10077, 325, 539, 547, 267, 519, 1310, 1439, 540, 519, 1183, 601, 610, 24933, 269, 717, 268, 1321, 325, 1040, 634, 18535, 4390, 540, 513, 6077, 269, 25745, 2212, 630, 8993, 269, 1744, 648, 269, 589, 4496, 6676, 1031, 547, 6443, 1079, 4626, 1499, 608, 27238, 269, 589, 7299, 23376, 11573, 602, 28263, 519, 8868, 282, 621, 729, 4448, 547, 519, 11489, 518, 676, 513, 547, 24327, 11460, 267, 543, 621, 729, 15841, 538, 513, 12946, 593, 519, 16064, 1657, 519, 11489, 518, 269, 717, 268, 274, 1040, 634, 18874, 779, 26654, 282, 519, 7210, 15922, 269, 22955, 610, 3515, 2759, 883, 267, 610, 7923, 547, 267, 519, 6565, 543, 29523, 14006, 547, 5815, 519, 3178, 693, 799, 1142, 1439, 540, 519, 26083, 568, 27153, 269, 6423, 4741, 4580, 269, 717, 268, 278, 320, 1040, 630, 335, 269, 476, 9340, 272, 264, 476, 1704, 267, 476, 866, 267, 543, 476, 3066, 282, 717, 268, 278, 320, 267, 717, 268, 278, 321, 267, 717, 268, 278, 322, 267, 543, 717, 268, 278, 324, 1040, 1323, 16070, 22882, 540, 1079, 1544, 802, 610, 4626, 1499, 269, 1546, 4242, 543, 824, 20499, 282, 513, 12432, 17250, 267, 711, 11347, 540, 513, 1880, 6077, 269, 1773, 21403, 630, 8993, 269, 6423, 16890, 269, 3220, 3424, 269, 717, 268, 1691, 324, 543, 717, 268, 1704, 1040, 654, 691, 1496, 289, 1601, 4940, 15519, 3101, 13408, 519, 1062, 540, 887, 6647, 267, 15791, 543, 11800, 267, 799, 1489, 513, 22892, 6928, 610, 13743, 10935, 781, 544, 6814, 1765, 9227, 6551, 3101, 267, 1519, 695, 709, 1091, 543, 13978, 11652, 799, 4188, 519, 2990, 540, 519, 6077, 781, 521, 5661, 543, 838, 1513, 547, 799, 789, 616, 7923, 9789, 4881, 6551, 3101, 267, 1519, 554, 3315, 1841, 267, 25329, 267, 9212, 543, 642, 836, 338, 269, 26054, 269, 717, 268, 1556, 320, 1040, 589, 2489, 2165, 585, 887, 6647, 543, 15791, 269, 589, 1183, 601, 602, 568, 17208, 1279, 2595, 3373, 865, 602, 621, 568, 4514, 693, 922, 1647, 982, 693, 922, 7475, 269, 26121, 15519, 3101, 30557, 15519, 3101, 7720, 1681, 909, 901, 4016, 547, 782, 519, 1847, 762, 3515, 602, 616, 1031, 547, 7485, 909, 543, 4188, 519, 521, 5661, 269, 589, 1804, 6676, 267, 610, 10198, 540, 4626, 1499, 267, 15841, 593, 519, 2427, 540, 513, 26083, 543, 22485, 950, 22892, 1055, 519, 2842, 547, 2333, 14694, 4187, 543, 2569, 682, 1168, 599, 269, 932, 848, 2823, 269, 717, 268, 1704, 1040, 8771, 6565, 269, 589, 22892, 6928, 568, 513, 4262, 268, 4707, 6077, 602, 3096, 521, 5661, 15841, 593, 544, 6814, 547, 10244, 519, 1379, 540, 2842, 543, 4412, 601, 519, 6077, 269, 1744, 9613, 269, 645, 4193, 2269, 7719, 630, 8993, 269, 28024, 326, 630, 8993, 338, 269, 1280, 513, 2688, 2262, 3406, 2824, 11628, 9612, 269, 645, 1409, 1845, 941, 2356, 15841, 538, 519, 9472, 548, 267, 4352, 789, 3006, 7902, 2282, 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 ]

[ 11681, 540, 5395, 613, 328, 631, 16554, 841, 990, 747, 1160, 330, 644, 514, 8566, 832, 5652, 267, 593, 519, 31704, 565, 1235, 330, 8932, 5211, 267, 476, 4489, 273, 454, 288, 8496, 6652, 320, 538, 6341, 1046, 663, 267, 2235, 320, 476, 4489, 273, 454, 763, 22810, 540, 30709, 3481, 534, 538, 772, 1537, 15142, 267, 476, 4489, 273, 454, 763, 4571, 268, 1240, 628, 2540, 27076, 3933, 2120, 344, 538, 14977, 18210, 267, 476, 4489, 273, 454, 307, 656, 531, 2358, 569, 267, 646, 554, 573, 513, 18797, 610, 865, 2681, 10824, 540, 519, 4936, 990, 338, 855, 2760, 31889, 1141, 630, 2865, 2693, 538, 853, 22642, 7921, 264, 1358, 949, 2943, 2627, 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 ]

[ 540, 519, 1032, 3280, 532, 856, 1913, 563, 29613, 958, 267, 707, 1126, 13788, 9656, 6616, 1034, 540, 519, 4484, 4408, 543, 930, 540, 519, 4992, 269, 901, 568, 1317, 707, 1126, 779, 4116, 1522, 1847, 1360, 3533, 998, 519, 4992, 543, 930, 3214, 991, 811, 942, 563, 3528, 4571, 4458, 538, 9656, 267, 707, 1126, 1058, 581, 3280, 532, 856, 1913, 899, 912, 3528, 519, 1439, 540, 519, 9656, 1032, 267, 707, 1126, 1058, 581, 2542, 1614, 3280, 1913, 3362, 269, 1452, 1913, 616, 1572, 22008, 290, 1913, 543, 1413, 899, 713, 912, 25585, 568, 3280, 532, 856, 1913, 1271, 888, 12626, 568, 513, 13093, 2045, 543, 10641, 11043, 1893, 563, 306, 15929, 856, 568, 1271, 1317, 621, 779, 513, 1259, 547, 2736, 519, 3009, 563, 12626, 849, 3096, 2849, 335, 1335, 525, 267, 610, 519, 10545, 2694, 540, 1913, 602, 4163, 2495, 563, 1607, 568, 1946, 519, 5022, 968, 539, 892, 1611, 1945, 5949, 538, 519, 2250, 267, 1256, 1498, 621, 666, 2099, 1614, 1114, 4992, 912, 268, 1315, 339, 270, 899, 3786, 539, 454, 268, 1315, 323, 270, 899, 536, 27419, 454, 268, 1315, 573, 270, 899, 2842, 539, 454, 1692, 798, 596, 4001, 3280, 532, 856, 1913, 888, 5575, 267, 707, 1126, 2115, 547, 3280, 856, 519, 5022, 563, 5629, 789, 666, 8850, 6474, 4992, 547, 930, 5022, 267, 789, 666, 1376, 676, 3280, 532, 856, 1913, 13093, 13443, 563, 7069, 5172, 1259, 547, 798, 713, 568, 547, 946, 519, 1482, 4484, 6486, 630, 21406, 13093, 6945, 6486, 264, 602, 594, 946, 950, 3450, 4484, 4992, 563, 1607, 1259, 707, 1126, 13462, 519, 4992, 689, 519, 6486, 547, 519, 4992, 538, 1913, 563, 5629, 707, 1126, 6487, 513, 19625, 540, 4992, 267, 789, 666, 1224, 513, 19619, 540, 1913, 563, 2690, 1383, 267, 952, 707, 1126, 6487, 519, 4992, 513, 267, 522, 267, 512, 267, 562, 267, 521, 267, 544, 267, 789, 666, 3280, 856, 13093, 13443, 912, 3963, 798, 3214, 6560, 609, 3280, 532, 856, 1913, 888, 2467, 616, 1614, 1292, 4128, 1946, 1453, 6560, 547, 3280, 856, 1913, 13093, 13443, 912, 268, 670, 13273, 1406, 1044, 18113, 6026, 454, 268, 2296, 5678, 22996, 454, 268, 21619, 21685, 610, 1776, 1565, 1966, 454, 295, 13273, 1406, 1044, 6026, 454, 5278, 1453, 3274, 10093, 1406, 1044, 6026, 875, 547, 3280, 856, 1913, 538, 1153, 269, 3509, 3506, 1869, 946, 606, 1935, 1572, 7195, 2331, 17402, 563, 21156, 540, 18928, 3450, 18551, 1900, 8386, 9912, 267, 1453, 616, 6026, 538, 513, 811, 688, 874, 1794, 731, 1259, 563, 5445, 616, 9415, 547, 7058, 693, 1913, 1759, 593, 519, 2796, 540, 519, 4845, 267, 519, 5961, 267, 610, 519, 1101, 4484, 563, 2252, 707, 1126, 4422, 547, 513, 1153, 609, 713, 1935, 267, 596, 2461, 2469, 547, 991, 547, 960, 593, 3280, 532, 856, 1913, 693, 1753, 563, 12626, 5678, 22996, 454, 2691, 2296, 3884, 1406, 519, 3119, 1893, 693, 1753, 267, 621, 666, 1491, 930, 6267, 3476, 547, 6474, 519, 4992, 547, 741, 5711, 4633, 563, 1607, 1032, 594, 8068, 1896, 1053, 2655, 23082, 519, 3280, 1315, 339, 270, 585, 1315, 628, 28918, 4256, 3119, 1893, 3085, 1406, 1331, 513, 1315, 628, 270, 3280, 563, 3719, 789, 1185, 8373, 3280, 532, 856, 13093, 13443, 543, 1131, 1224, 968, 321, 520, 892, 585, 968, 321, 987, 1848, 1403, 707, 3119, 1893, 568, 711, 2296, 267, 596, 3580, 1616, 547, 1118, 2386, 596, 666, 3280, 856, 519, 5022, 5265, 1101, 563, 291, 903, 21685, 610, 824, 9659, 454, 6624, 1053, 6560, 547, 3280, 856, 1913, 13093, 13443, 1317, 789, 616, 7988, 2716, 545, 269, 1358, 1522, 711, 723, 1044, 11117, 610, 8995, 2943, 267, 855, 519, 2042, 2611, 563, 4263, 922, 4295, 267, 27577, 568, 513, 8467, 609, 6217, 4992, 538, 9275, 1893, 543, 8840, 6306, 1913, 883, 4992, 563, 5278, 1453, 609, 15860, 11838, 1522, 723, 8373, 1565, 547, 1224, 1317, 13455, 3007, 568, 2182, 269, 11838, 543, 27577, 1419, 1071, 31507, 267, 1498, 269, 1924, 621, 779, 1271, 547, 1205, 513, 1434, 6268, 563, 5415, 6435, 585, 14675, 532, 4934, 9293, 1912, 517, 13443, 888, 296, 4862, 689, 513, 2603, 540, 31908, 945, 4769, 1406, 1745, 6899, 4543, 741, 1453, 1451, 547, 1224, 563, 5445, 4769, 1406, 723, 519, 2596, 1702, 540, 4992, 547, 1205, 3323, 609, 3280, 532, 856, 269, 594, 7948, 1406, 1265, 513, 2866, 602, 594, 8910, 4363, 563, 3383, 594, 1500, 16319, 3427, 547, 948, 3237, 899, 596, 269, 1411, 3580, 1451, 912, 268, 519, 476, 4510, 4992, 538, 2296, 454, 268, 519, 1034, 1455, 2081, 547, 11963, 873, 454, 268, 513, 2241, 6296, 547, 4001, 543, 2689, 519, 4992, 454, 268, 16471, 873, 883, 1913, 454, 268, 875, 547, 4001, 707, 1126, 547, 11963, 873, 0, 310, 8960, 513, 10160, 12966, 814, 1044, 4080, 547, 4688, 811, 2729, 538, 606, 8009, 982, 9849, 1100, 10160, 12966, 563, 8133, 267, 20691, 5957, 10160, 26797, 563, 2171, 5957, 10160, 26797, 585, 1760, 974, 344, 269, 2690, 1383, 950, 596, 1205, 538, 513, 1286, 20739, 1188, 596, 991, 547, 581, 2922, 269, 9827, 865, 519, 7128, 666, 711, 3247, 707, 3158, 610, 19033, 454, 272, 560, 1876, 7553, 454, 8133, 267, 782, 15915, 1590, 5957, 10160, 26797, 454, 8253, 952, 789, 1705, 711, 2097, 689, 519, 12051, 609, 10160, 26797, 269, 1403, 789, 3357, 1106, 519, 12051, 609, 10160, 26797, 596, 616, 2838, 547, 5957, 873, 563, 14399, 909, 547, 1978, 12035, 616, 2838, 547, 581, 538, 1286, 16295, 602, 616, 4371, 538, 1747, 609, 519, 10160, 26797, 538, 1034, 2829, 269, 2991, 789, 3914, 513, 1978, 2597, 267, 789, 616, 2838, 547, 5957, 10160, 26797, 267, 865, 711, 1152, 666, 1453, 5957, 10160, 26797, 267, 1310, 789, 1100, 3476, 616, 2838, 547, 581, 538, 1286, 16295, 267, 789, 616, 2838, 547, 5957, 513, 10160, 12966, 563, 2254, 952, 519, 1286, 729, 711, 8385, 9280, 609, 873, 563, 8133, 789, 798, 563, 32451, 1082, 256, 21009, 519, 7972, 538, 519, 2136, 2276, 616, 3361, 1317, 1004, 798, 711, 5957, 10160, 26797, 563, 5353, 520, 26797, 2149, 596, 689, 519, 1764, 540, 513, 16580, 267, 711, 689, 3432, 610, 10231, 269, 0, 514, 513, 1259, 602, 2982, 30251, 543, 2015, 622, 2543, 585, 2576, 610, 1945, 563, 8794, 31635, 281, 6201, 454, 12648, 513, 4090, 547, 24559, 3054, 609, 875, 834, 27920, 2685, 257, 666, 581, 1031, 538, 1585, 3871, 998, 519, 1739, 1806, 2336, 3891, 31635, 17379, 519, 2709, 563, 296, 31635, 10990, 609, 707, 6644, 563, 9515, 12038, 31635, 547, 1200, 22242, 563, 763, 7980, 11542, 693, 3007, 267, 31635, 7996, 585, 741, 19524, 563, 27920, 2685, 14271, 11618, 543, 4165, 11618, 454, 23087, 281, 31635, 538, 16684, 454, 262, 3725, 338, 1051, 2685, 262, 1496, 337, 22688, 16659, 4944, 389, 505, 19241, 325, 16745, 2993, 316, 568, 606, 30163, 1031, 547, 5815, 30251, 543, 2015, 622, 2543, 585, 2576, 610, 1945, 269, 898, 568, 1419, 1031, 538, 6101, 3871, 267, 971, 607, 950, 19394, 606, 2709, 610, 10990, 532, 609, 2576, 781, 6644, 269, 898, 666, 849, 581, 1031, 547, 4766, 875, 2576, 14753, 547, 741, 22242, 610, 2706, 12542, 267, 607, 538, 1412, 9515, 12038, 31635, 547, 1200, 22242, 9538, 14271, 11618, 1331, 1412, 322, 712, 974, 3585, 262, 543, 1412, 3698, 5166, 6053, 10086, 1247, 1884, 11618, 1331, 1412, 4134, 27920, 2685, 262, 543, 1412, 337, 8775, 569, 9538, 0, 1692, 547, 28161, 513, 6481, 5843, 6798, 6048, 454, 6701, 596, 19832, 676, 519, 18784, 1158, 267, 8049, 827, 875, 14471, 1860, 938, 2729, 267, 543, 6236, 513, 4876, 538, 2564, 2257, 286, 1403, 865, 267, 2564, 8762, 5735, 1522, 581, 519, 3501, 4876, 3903, 585, 596, 2336, 1432, 568, 6481, 31814, 888, 21357, 8762, 5735, 568, 519, 1353, 540, 14471, 1107, 971, 607, 4551, 267, 8290, 267, 13271, 267, 543, 15495, 1107, 543, 875, 789, 1860, 1480, 1072, 269, 901, 2361, 4249, 513, 4105, 1909, 538, 23235, 267, 8156, 267, 543, 7303, 3676, 3361, 676, 14471, 269, 1635, 1620, 519, 1950, 4205, 1063, 891, 18784, 7103, 543, 519, 1480, 1560, 267, 2564, 18117, 5505, 1020, 2994, 547, 8396, 2068, 543, 2087, 2949, 1857, 1072, 563, 3721, 338, 547, 29460, 513, 6481, 5843, 6798, 6048, 454, 3086, 602, 596, 723, 513, 1732, 1620, 540, 519, 2361, 1577, 779, 4685, 883, 519, 1900, 8386, 9912, 1184, 540, 13197, 513, 4876, 538, 2564, 8762, 5735, 563, 272, 269, 13159, 4400, 3427, 610, 513, 717, 3633, 4982, 20884, 454, 2414, 11654, 513, 4876, 538, 2564, 8762, 5735, 267, 596, 3580, 1101, 991, 547, 2347, 1164, 1153, 610, 3489, 513, 717, 3633, 6697, 269, 4438, 713, 942, 267, 1445, 593, 4597, 532, 538, 707, 2257, 543, 6128, 5049, 267, 607, 891, 5396, 786, 1683, 513, 4396, 5748, 585, 707, 2104, 960, 538, 8762, 5735, 563, 273, 269, 5192, 12833, 9407, 454, 3528, 3478, 3238, 538, 29599, 2238, 543, 824, 3292, 1312, 3330, 543, 3544, 540, 1153, 267, 596, 2461, 2111, 547, 5531, 811, 1995, 1369, 519, 2361, 543, 1451, 1247, 2348, 1187, 269, 6423, 952, 707, 1153, 814, 1022, 15731, 610, 2362, 7400, 2257, 6030, 267, 1413, 585, 15321, 3255, 1369, 707, 2146, 630, 3697, 538, 513, 6413, 610, 2978, 1070, 610, 1256, 3914, 856, 547, 513, 2564, 18117, 6048, 2282, 547, 547, 14692, 873, 563, 5194, 1390, 4316, 547, 1205, 3238, 568, 609, 519, 5842, 17630, 8293, 1563, 26665, 3298, 1982, 256, 1403, 596, 2461, 513, 476, 1015, 628, 268, 1321, 628, 3446, 2875, 538, 519, 5842, 17630, 1858, 267, 596, 2461, 10950, 547, 4019, 585, 519, 1032, 17489, 30023, 1982, 268, 1451, 811, 1934, 563, 274, 269, 5136, 1555, 513, 25328, 779, 23422, 538, 513, 31999, 12197, 454, 9202, 267, 596, 3580, 991, 547, 11654, 513, 25328, 779, 4110, 538, 513, 4143, 2361, 971, 607, 7350, 267, 8762, 5735, 267, 610, 1979, 17190, 269, 589, 2178, 2852, 2069, 786, 1683, 596, 609, 513, 4514, 1620, 540, 4909, 2035, 538, 8762, 5735, 543, 5965, 596, 585, 811, 4359, 17440, 538, 519, 2361, 563, 275, 269, 29934, 23958, 3427, 454, 4407, 930, 7127, 7400, 7158, 538, 2564, 8762, 5735, 1522, 1152, 2154, 513, 25328, 779, 4110, 267, 519, 5354, 540, 6009, 1369, 519, 2361, 786, 2154, 2417, 2069, 269, 623, 2720, 5224, 513, 9457, 779, 610, 1912, 6185, 269, 538, 2564, 8762, 5735, 610, 513, 5702, 1644, 2361, 786, 1628, 2390, 707, 15938, 2069, 543, 1020, 707, 6791, 538, 519, 2361, 563, 276, 269, 13159, 7102, 3026, 10354, 12501, 5874, 610, 9751, 454, 27039, 593, 707, 1808, 4876, 3853, 267, 3606, 24501, 610, 2866, 949, 581, 2556, 269, 1280, 1383, 267, 952, 596, 29954, 790, 547, 960, 538, 513, 4791, 8047, 267, 621, 568, 1455, 547, 3489, 513, 3318, 13995, 689, 3906, 971, 607, 519, 1977, 5980, 585, 11916, 11202, 1108, 630, 3008, 9573, 1916, 277, 269, 28150, 4518, 15232, 454, 7661, 267, 596, 3580, 991, 547, 2744, 3946, 6823, 1995, 538, 519, 2361, 269, 769, 3179, 4721, 267, 1382, 13930, 7158, 267, 543, 7127, 7400, 6009, 616, 782, 1390, 3255, 547, 1628, 707, 1702, 543, 1983, 538, 2564, 8762, 5735, 563, 29973, 10341, 585, 6481, 5843, 6798, 5505, 454, 16352, 4988, 519, 3872, 13374, 267, 1577, 779, 1865, 519, 1883, 1983, 602, 786, 948, 596, 14133, 607, 513, 2564, 18117, 6048, 912, 16920, 1549, 547, 1469, 281, 6481, 18117, 5505, 1590, 581, 22111, 538, 741, 960, 267, 607, 1256, 519, 10545, 6959, 666, 1291, 547, 11234, 21904, 543, 16789, 2126, 563, 27287, 3206, 281, 14675, 10763, 1983, 616, 2629, 950, 16208, 1382, 1239, 267, 30076, 2152, 267, 543, 1821, 2358, 2994, 547, 8396, 3676, 563, 11328, 26051, 543, 2792, 1983, 281, 6481, 18117, 5505, 1419, 12840, 609, 824, 3782, 4648, 267, 865, 2500, 2792, 543, 16542, 616, 1898, 563, 24248, 1983, 281, 634, 5354, 540, 519, 960, 538, 2564, 8762, 5735, 3217, 1747, 538, 513, 8047, 4259, 267, 865, 15334, 538, 2978, 2553, 568, 513, 1590, 563, 19370, 9010, 281, 769, 713, 2361, 267, 596, 786, 3068, 3875, 2591, 602, 2154, 2656, 3206, 543, 3860, 3435, 563, 2026, 596, 666, 1294, 267, 4742, 513, 2564, 18117, 6048, 3340, 11428, 543, 2182, 960, 267, 855, 621, 568, 606, 11212, 16180, 4876, 2619, 585, 1346, 609, 513, 6612, 585, 519, 18784, 1158, 269, 2060, 2182, 960, 543, 8990, 267, 972, 779, 1100, 3970, 547, 1018, 596, 666, 9585, 2336, 13425, 856, 824, 2189, 2257, 4610, 281, 0, 10376, 9570, 630, 4944, 2001, 264, 3568 ]

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

[ 824, 5132, 269, 1626, 634, 7928, 1995, 540, 12004, 10455, 3256, 267, 12667, 569, 18189, 1242, 538, 28005, 976, 267, 8964, 267, 543, 8778, 338, 267, 607, 1134, 607, 519, 3308, 2592, 17477, 1310, 865, 1082, 1857, 4291, 1903, 267, 1185, 513, 13974, 3532, 1198, 269, 1704, 634, 2856, 602, 968, 26421, 666, 581, 10710, 538, 1010, 1378, 5132, 892, 1522, 2972, 930, 3908, 1967, 950, 10271, 267, 7642, 267, 543, 17018, 548, 916, 941, 12543, 267, 607, 538, 840, 268, 14983, 273, 30345, 807, 267, 855, 922, 5391, 518, 908, 7399, 1705, 711, 8831, 547, 7526, 1851, 10271, 269, 1924, 267, 1932, 267, 1247, 14308, 1218, 540, 1114, 21334, 687, 1522, 954, 3405, 787, 267, 17557, 1700, 290, 987, 4301, 22888, 7018, 1454, 1447, 4749, 543, 9863, 1454, 811, 26688, 540, 1920, 1894, 269, 1240, 2311, 8877, 2175, 540, 10892, 729, 3976, 513, 2182, 3562, 268, 792, 333, 1184, 267, 543, 922, 10781, 941, 1419, 1152, 3908, 538, 2470, 269, 898, 7283, 513, 3609, 602, 1223, 581, 14460, 607, 3362, 607, 621, 1223, 581, 4359, 269, 3143, 1533, 1131, 15646, 8784, 922, 3656, 6392, 936, 3909, 6927, 538, 519, 2012, 540, 17516, 519, 2924, 540, 782, 922, 5396, 269, 15215, 729, 1932, 1271, 513, 2339, 267, 1932, 1454, 606, 3693, 540, 1533, 3609, 267, 547, 581, 5701, 607, 513, 2123, 1318, 602, 8723, 2043, 3274, 610, 6923, 22234, 269, 1496, 476, 2420, 23378, 763, 645, 6324, 523, 540, 24729, 3130, 634, 5929, 957, 540, 10205, 618, 3357, 538, 476, 12739, 276, 267, 950, 8402, 2473, 4353, 2847, 12097, 519, 3798, 1112, 540, 715, 656, 525, 540, 476, 14689, 279, 269, 2334, 957, 540, 3609, 11943, 10199, 513, 2540, 543, 513, 3791, 540, 15784, 543, 4655, 602, 1185, 3366, 547, 13417, 1737, 344, 11775, 540, 3392, 4115, 30398, 602, 2838, 7368, 16395, 547, 3132, 513, 4557, 6681, 3909, 4708, 269, 634, 18018, 340, 523, 582, 2146, 729, 1869, 13166, 1572, 3288, 4984, 929, 2946, 1084, 16746, 678, 2946, 845, 19902, 630, 1492, 5910, 2105, 610, 865, 10777, 1234, 11526, 4984, 1070, 513, 15262, 540, 875, 17895, 894, 519, 3350, 4724, 3909, 4708, 1185, 2141, 1044, 269, 634, 21324, 540, 18018, 340, 523, 582, 1272, 538, 519, 476, 12739, 271, 338, 729, 513, 22266, 26035, 269, 1234, 11526, 10820, 941, 1641, 547, 1373, 1951, 2998, 19861, 267, 2495, 602, 7980, 941, 14415, 1229, 538, 17557, 5321, 693, 741, 5411, 685, 13258, 269, 12267, 32736, 540, 7980, 705, 6748, 24726, 267, 20766, 267, 543, 22063, 267, 9513, 519, 29939, 902, 543, 519, 7031, 543, 519, 13184, 267, 6704, 741, 1259, 998, 519, 9174, 1591, 541, 267, 543, 3622, 3257, 607, 1454, 3441, 607, 789, 5551, 269, 6271, 10751, 729, 13684, 593, 18018, 340, 523, 582, 3885, 281, 789, 1223, 6336, 519, 26692, 540, 741, 1453, 267, 945, 1223, 581, 5116, 538, 7826, 3885, 610, 5238, 543, 556, 1563, 1369, 519, 4013, 5132, 269, 634, 1152, 3435, 547, 713, 1616, 517, 18670, 540, 6469, 4708, 941, 2901, 585, 1873, 8960, 835, 779, 3909, 10121, 2906, 543, 16561, 519, 5783, 540, 7507, 267, 610, 3116, 4058, 606, 9101, 602, 1981, 539, 6028, 1454, 540, 835, 779, 3959, 3297, 269, 866, 634, 2847, 6327, 540, 519, 3798, 1112, 11943, 513, 10116, 10601, 540, 29083, 20655, 602, 3459, 609, 519, 2407, 607, 1417, 540, 8402, 2473, 4353, 547, 519, 15438, 1222, 538, 476, 14917, 272, 269, 634, 1296, 602, 4553, 4547, 519, 9552, 540, 3875, 18018, 340, 523, 582, 17633, 267, 519, 791, 3789, 540, 3656, 20507, 593, 8723, 740, 6254, 338, 267, 543, 519, 3742, 946, 540, 4108, 3196, 543, 22266, 5208, 547, 735, 601, 18018, 340, 523, 1824, 547, 15646, 8784, 741, 5132, 269, 2991, 24815, 2968, 519, 2063, 4781, 585, 1346, 945, 24714, 9444, 547, 705, 329, 675, 741, 5132, 6862, 547, 2661, 607, 9633, 539, 27869, 1235, 538, 513, 7826, 2528, 1765, 899, 519, 968, 2908, 4168, 892, 631, 1551, 534, 657, 540, 30345, 807, 1765, 10915, 4007, 324, 2950, 7902, 538, 26652, 267, 6628, 267, 2398, 17892, 267, 543, 16848, 269, 630, 5278, 3885, 1500, 741, 1259, 547, 3703, 3345, 3013, 281, 519, 3791, 543, 1496, 476, 2537, 23378, 289, 5674, 593, 323, 27801, 267, 15332, 3117, 7220, 8772, 27504, 540, 519, 25550, 6837, 267, 8361, 19846, 985, 543, 3627, 20289, 267, 10645, 18018, 340, 523, 582, 16350, 1040, 634, 1360, 2262, 21345, 267, 799, 5515, 865, 30326, 538, 519, 2413, 11407, 540, 1480, 2924, 267, 729, 11827, 547, 4766, 519, 18018, 340, 523, 582, 29563, 269, 736, 1677, 513, 2413, 3750, 267, 519, 20655, 543, 24815, 540, 519, 18018, 340, 523, 1824, 2408, 547, 12013, 1518, 519, 11944, 540, 519, 2856, 540, 1480, 2924, 269, 4256, 726, 697, 543, 12556, 267, 799, 941, 11840, 2299, 4330, 538, 8778, 338, 543, 17770, 7240, 12591, 267, 2968, 513, 2014, 524, 2946, 331, 11726, 3691, 1369, 519, 3486, 17557, 2146, 269, 769, 741, 16395, 609, 519, 3943, 21257, 267, 519, 18018, 340, 523, 1824, 14578, 1045, 12097, 519, 1808, 1196, 1112, 338, 543, 3526, 525, 602, 1185, 16219, 547, 2327, 741, 2168, 543, 3909, 3106, 269, 1809, 593, 835, 1808, 2339, 789, 18674, 713, 9029, 547, 2798, 2907, 598, 1027, 539, 609, 513, 811, 2489, 1045, 6327, 540, 519, 4909, 2067, 1318, 540, 3237, 547, 1852, 741, 1453, 779, 3909, 2069, 269, 7201, 606, 1196, 1112, 540, 4873, 476, 1704, 267, 476, 12739, 272, 267, 519, 21257, 4847, 18018, 340, 523, 582, 1453, 607, 1762, 607, 5722, 547, 1118, 513, 3903, 540, 4984, 543, 547, 581, 6569, 689, 741, 3885, 543, 6659, 607, 23597, 269, 769, 513, 9966, 1076, 17372, 547, 8402, 2473, 4353, 267, 18018, 340, 523, 1824, 711, 1152, 1486, 6479, 519, 4655, 1063, 713, 11865, 543, 824, 11650, 6580, 547, 519, 3798, 1112, 540, 715, 656, 525, 269, 1358, 849, 11130, 602, 621, 26991, 968, 320, 4521, 540, 7186, 1496, 6518, 316, 568, 607, 3504, 607, 519, 1158, 630, 663, 11313, 26385, 513, 7665, 574, 267, 602, 2067, 7126, 616, 1799, 17014, 264, 892, 607, 1134, 607, 968, 1492, 11426, 540, 782, 8315, 1848, 4065, 1223, 581, 1767, 547, 2253, 1152, 693, 2085, 5722, 267, 519, 4090, 950, 968, 29261, 798, 607, 621, 941, 1491, 25334, 11970, 540, 741, 9406, 892, 547, 15493, 741, 1453, 538, 741, 1378, 4984, 269, 12344, 693, 27552, 1453, 1223, 968, 2041, 2451, 547, 741, 14893, 543, 23068, 892, 538, 3909, 6927, 267, 855, 2394, 1287, 3237, 4371, 513, 2067, 543, 3540, 1318, 547, 3635, 602, 10279, 269, 2641, 2986, 1576, 267, 513, 6863, 540, 1480, 2924, 729, 711, 2943, 2139, 538, 27867, 10601, 2797, 3206, 269, 1677, 1521, 519, 18018, 340, 523, 582, 24815, 267, 899, 519, 1163, 13955, 540, 519, 30345, 1014, 7642, 267, 607, 513, 17565, 1738, 18634, 540, 519, 8798, 540, 1480, 2924, 1131, 3976, 3479, 519, 1496, 476, 2190, 23378, 763, 645, 6324, 523, 540, 24729, 3130, 5609, 602, 12206, 4250, 1034, 281, 606, 778, 1258, 1143, 269, 769, 519, 18018, 340, 523, 582, 5859, 547, 2226, 513, 12512, 540, 7109, 566, 267, 26525, 22587, 547, 519, 2067, 2924, 540, 3237, 20974, 1229, 2484, 1447, 982, 3646, 547, 7618, 519, 3943, 21257, 540, 519, 598, 947, 687, 621, 1185, 5892, 6035, 269, 1809, 513, 17979, 610, 15698, 602, 519, 1533, 1185, 11292, 729, 849, 513, 17979, 610, 15698, 621, 1223, 2847, 5803, 269, 634, 8789, 2203, 540, 1533, 8154, 630, 528, 1533, 268, 2679, 264, 9053, 3909, 7833, 640, 547, 3909, 12683, 1143, 269, 12846, 267, 7422, 540, 519, 18018, 340, 523, 582, 1995, 1705, 723, 513, 2101, 1764, 593, 519, 1646, 540, 7109, 566, 626, 3206, 269, 3627, 28676, 5030, 538, 5333, 1282, 519, 3735, 476, 15757, 271, 338, 267, 950, 646, 1185, 15792, 3346, 609, 519, 18018, 340, 523, 582, 2146, 269, 1879, 646, 4682, 883, 2797, 24815, 538, 26652, 513, 8717, 2663, 267, 18018, 340, 523, 582, 15076, 941, 1459, 538, 1804, 2338, 269, 24839, 7345, 548, 849, 3576, 9675, 538, 26652, 267, 1141, 646, 2968, 2377, 549, 6150, 538, 11173, 27900, 609, 1010, 5449, 19121, 267, 24839, 30083, 24586, 267, 519, 1390, 22557, 2006, 585, 27869, 626, 3540, 15698, 269, 1656, 1975, 3626, 5633, 267, 519, 1034, 4583, 540, 608, 10919, 5344, 7642, 267, 729, 26731, 689, 519, 30345, 1014, 15076, 267, 1082, 540, 873, 968, 2908, 10271, 892, 543, 631, 1551, 534, 657, 267, 945, 556, 13094, 741, 18577, 3909, 3961, 538, 26652, 269, 1280, 606, 11606, 540, 4128, 267, 26652, 2968, 835, 540, 519, 1079, 3084, 15473, 585, 519, 10952, 1646, 540, 2413, 2093, 540, 3909, 15698, 269, 634, 824, 8468, 729, 4789, 267, 547, 799, 28676, 8120, 1152, 1310, 519, 717, 3271, 1190, 7169, 540, 476, 12739, 279, 17956, 922, 6228, 607, 513, 17557, 7706, 563, 12626, 19837, 550, 543, 513, 1715, 13804, 320, 14295, 320, 4789, 1185, 5342, 922, 1378, 6901, 538, 19620, 3909, 7833, 640, 269, 769, 922, 8129, 267, 519, 2296, 26746, 540, 519, 476, 14631, 271, 338, 729, 606, 957, 540, 1533, 267, 9141, 676, 3751, 8361, 24163, 779, 7287, 547, 1265, 519, 5256, 25752, 602, 1010, 1101, 7385, 267, 21965, 540, 589, 16400, 267, 1185, 711, 2016, 1864, 269, 1879, 741, 8250, 6307, 3357, 547, 519, 17599, 538, 476, 14028, 274, 267, 1310, 519, 2669, 540, 1496, 476, 1839, 23378, 289, 5674, 593, 323, 27801, 267, 15332, 3117, 7220, 1200, 7820, 3368, 1532, 549, 750, 3751, 11977, 17886, 267, 1352, 25525, 3585, 13986, 547, 11177, 2296, 14017, 547, 519, 5783, 540, 7507, 269, 11153, 4627, 7118, 652, 14308, 1218, 1765, 5443, 543, 2021, 609, 5289, 19647, 2484, 4514, 982, 519, 3735, 3751, 8361, 779, 1765, 26200, 26151, 693, 519, 7196, 267, 4166, 547, 581, 18189, 1242, 538, 16737, 324, 779, 3883, 540, 6742, 344, 3464, 630, 14444, 274, 1070, 513, 19506, 960, 602, 2451, 606, 30170, 12705, 593, 519, 2528, 540, 9097, 14308, 1218, 269, 6307, 779, 1065, 1833, 22755, 824, 14308, 1218, 547, 3343, 3106, 593, 519, 11782, 267, 1141, 930, 941, 7184, 6766, 676, 519, 27869, 626, 1234, 11526, 3350, 269, 2991, 6307, 5747, 538, 476, 14028, 279, 267, 1200, 2699, 20243, 3368, 1606, 3563, 10906, 267, 8250, 540, 519, 13401, 14732, 645, 1961, 2106, 267, 3357, 547, 519, 17599, 269, 10906, 8120, 4789, 547, 17557, 4341, 267, 543, 519, 7826, 2671, 540, 922, 2551, 21022, 609, 1142, 8717, 269, 10906, 267, 1932, 267, 5249, 2182, 547, 12492, 513, 19618, 5939, 269, 1809, 519, 631, 4115, 608, 3796, 945, 8120, 689, 26652, 543, 824, 1234, 11526, 2950, 267, 899, 3627, 27869, 779, 25611, 267, 5645, 811, 9097, 2093, 269, 769, 741, 2070, 267, 519, 5783, 540, 4789, 2877, 2417, 22729, 865, 602, 621, 1131, 711, 2611, 513, 3084, 1242, 4528, 540, 519, 5783, 540, 7507, 267, 609, 922, 15796, 540, 31967, 543, 922, 22350, 1396, 17790, 10847, 269, 2334, 6161, 6273, 519, 8830, 11939, 3350, 602, 5129, 865, 4105, 513, 1909, 538, 519, 5935, 540, 1977, 17557, 1143, 269, 634, 1985, 3184, 786, 2015, 519, 3909, 4644, 540, 8830, 11939, 1143, 538, 922, 1977, 2796, 269, 1548, 6927, 1631, 568, 519, 6284, 602, 538, 3735, 31303, 268, 543, 27867, 10601, 4789, 267, 13882, 1369, 513, 15866, 17557, 4182, 6383, 519, 9840, 936, 3909, 15698, 543, 7368, 7125, 585, 7109, 566, 602, 4646, 519, 3312, 4282, 585, 1977, 3206, 269, 12866, 16313, 338, 543, 835, 29610, 268, 6362, 267, 519, 7083, 5019, 10725, 20182, 595, 668, 6202, 267, 556, 11220, 936, 4789, 1282, 519, 24369, 5756, 689, 519, 1569, 542, 540, 10906, 594, 538, 476, 14028, 279, 547, 519, 18254, 540, 6276, 4083, 538, 12739, 279, 269, 634, 8789, 20949, 540, 10906, 543, 519, 2185, 26573, 15438, 2420, 1765, 5976, 519, 5732, 4277, 9868, 540, 6276, 4083, 1765, 729, 547, 8190, 519, 6392, 540, 519, 5783, 540, 4789, 543, 3970, 1496, 476, 2918, 23378, 763, 645, 6324, 523, 540, 24729, 3130, 519, 2208, 540, 15180, 3392, 338, 269, 769, 2489, 789, 22002, 513, 3609, 540, 3909, 20208, 267, 607, 602, 2165, 729, 1287, 1031, 269, 3525, 3130, 1223, 1869, 1611, 9319, 26037, 540, 2623, 267, 971, 607, 28112, 15967, 610, 606, 8944, 282, 855, 621, 849, 1303, 9229, 519, 24526, 16879, 540, 519, 1379, 540, 519, 1533, 269, 1306, 519, 14787, 6599, 534, 1744, 12298, 32625, 267, 2178, 18765, 540, 968, 326, 4261, 766, 267, 27047, 842, 267, 1065, 1833, 543, 1852, 941, 3710, 883, 519, 1360, 1893, 540, 20208, 2223, 799, 968, 322, 746 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 28874, 519, 1604, 609, 938, 2067, 476, 277, 7825, 14350, 20386, 12713, 1805, 3863, 338, 269, 17214, 689, 2030, 2861, 623, 6369, 267, 513, 8970, 20566, 12045, 602, 568, 476, 1911, 260, 27500, 543, 11003, 762, 538, 606, 4853, 735, 8803, 563, 27807, 1805, 3863, 7849, 654, 571, 5529, 476, 277, 7825, 1107, 16179, 19889, 6363, 7037, 853, 3863, 338, 454, 305, 4029, 269, 4962, 1107, 681, 277, 2641, 269, 876, 454, 268, 1473, 1204, 1302, 654, 571, 5529, 7849, 12713, 1805, 3863, 338, 454, 268, 26133, 476, 1911, 260, 21954, 22869, 454, 268, 27975, 569, 3281, 739, 762, 454, 268, 476, 1911, 260, 7233, 9122, 270, 5522, 2880, 6363, 872, 454, 268, 17214, 3245, 623, 6369, 454, 268, 6423, 13995, 1934, 454, 268, 1473, 1204, 1302, 654, 571, 5529, 7849, 12713, 1805, 3863, 338, 476, 277, 7825, 454, 268, 12232, 538, 19492, 1407, 540, 476, 1911, 610, 10833, 540, 476, 1220, 271, 454, 272, 269, 12713, 2861, 15229, 616, 811, 4264, 982, 19386, 2861, 22169, 563, 5978, 1979, 31129, 2472, 616, 1500, 689, 7791, 2030, 2861, 2200, 899, 4006, 29647, 267, 8970, 560, 1105, 543, 10568, 269, 769, 519, 772, 2529, 269, 4805, 267, 476, 1220, 476, 1822, 29054, 540, 3282, 616, 1031, 3232, 547, 1118, 5068, 267, 799, 1223, 581, 17515, 676, 1210, 4264, 6915, 13807, 2880, 563, 273, 269, 634, 5663, 540, 6915, 2861, 5068, 899, 623, 6369, 568, 811, 4492, 18026, 982, 3282, 2861, 5068, 563, 303, 6369, 3340, 476, 4792, 260, 1447, 1648, 547, 1118, 982, 922, 19386, 2861, 11218, 563, 274, 269, 634, 2953, 2126, 540, 513, 6915, 2861, 5068, 693, 519, 1439, 540, 922, 1272, 4783, 568, 2629, 563, 763, 2063, 3364, 649, 1616, 547, 1294, 568, 1004, 16445, 532, 741, 1979, 31129, 2472, 267, 19451, 569, 3206, 621, 786, 7686, 1122, 8565, 269, 12713, 2861, 15229, 899, 623, 6369, 2154, 5010, 24600, 6703, 547, 2736, 1524, 269, 4014, 513, 1587, 949, 581, 27500, 610, 11003, 762, 1281, 711, 1611, 602, 621, 786, 31358, 538, 519, 1604, 269, 21954, 22869, 2472, 2154, 519, 2953, 2175, 540, 3002, 267, 1216, 543, 1769, 547, 31358, 269, 2334, 779, 1946, 649, 4363, 4466, 513, 1434, 3653, 8851, 3028, 609, 606, 4853, 735, 8803, 563, 275, 269, 21954, 22869, 5068, 2472, 3132, 476, 6924, 260, 1447, 8511, 3154, 5434, 982, 3282, 2861, 5068, 2472, 563, 289, 1675, 18341, 1963, 3132, 1447, 5533, 950, 14475, 543, 2736, 1524, 883, 5214, 3334, 267, 799, 616, 2922, 585, 938, 1216, 543, 2011, 563, 276, 269, 21954, 22869, 1281, 711, 8209, 1611, 11003, 762, 563, 289, 1675, 22869, 15229, 616, 1500, 689, 519, 1482, 1570, 607, 19386, 2861, 5068, 609, 3606, 6464, 602, 2014, 621, 547, 2736, 1524, 18334, 269, 1717, 267, 930, 27500, 15229, 23650, 1510, 30477, 7992, 4625, 543, 666, 3542, 1393, 519, 3037, 267, 2011, 543, 25825, 267, 607, 1134, 607, 10460, 513, 1981, 547, 2831, 269, 1358, 3112, 581, 13381, 269, 2201, 519, 824, 1688, 267, 11003, 762, 6915, 2861, 15229, 899, 519, 623, 6369, 649, 946, 538, 1082, 540, 938, 2472, 616, 1500, 689, 2030, 2861, 2959, 543, 2736, 1524, 883, 5214, 3334, 602, 798, 711, 4734, 6757, 22016, 563, 277, 269, 3281, 24031, 6915, 2861, 5068, 666, 2490, 17885, 883, 3638, 267, 1208, 545, 1570, 563, 2171, 2648, 602, 17885, 666, 581, 1434, 585, 519, 3037, 256, 901, 666, 2087, 1216, 543, 8770, 12802, 543, 948, 1332, 8902, 2371, 609, 1447, 991, 585, 3114, 18168, 563, 272, 269, 1548, 1281, 2048, 4818, 739, 762, 685, 1611, 888, 8072, 4467, 14006, 762, 685, 1797, 602, 513, 1570, 666, 30477, 3433, 543, 4734, 1100, 10250, 540, 17219, 269, 4014, 7686, 18341, 1963, 2736, 1524, 267, 11003, 1963, 2132, 547, 543, 1256, 16138, 880, 519, 3037, 563, 4467, 14006, 762, 2326, 616, 14468, 2687, 547, 519, 3864, 4441, 13673, 476, 16328, 3953, 630, 17569, 1645, 264, 543, 13673, 476, 14983, 4817, 630, 335, 20094, 264, 543, 568, 11003, 539, 538, 4853, 2371, 269, 1809, 621, 779, 1271, 547, 1174, 602, 11003, 1464, 610, 7686, 18341, 1464, 1281, 711, 8850, 1611, 602, 513, 1587, 786, 31358, 538, 1022, 1604, 269, 1656, 538, 1034, 2665, 27500, 15229, 786, 1152, 31358, 538, 4853, 24600, 2371, 896, 1808, 2175, 563, 26502, 899, 2837, 267, 942, 267, 11195, 543, 519, 4527, 540, 4551, 543, 13271, 3313, 875, 1134, 513, 1570, 9714, 525, 269, 1452, 2188, 666, 581, 6417, 1152, 538, 4853, 24600, 2371, 269, 11048, 930, 2472, 1522, 581, 5078, 585, 1753, 24600, 269, 1280, 1383, 267, 938, 4006, 29647, 543, 1957, 2472, 630, 7474, 616, 711, 20898, 609, 5068, 610, 623, 6369, 264, 723, 6707, 28811, 538, 1753, 11003, 619, 269, 1717, 267, 2326, 899, 623, 6369, 2154, 606, 4853, 24600, 9744, 585, 1697, 12871, 563, 272, 269, 623, 6369, 1107, 2717, 2643, 12519, 18729, 454, 303, 6369, 568, 513, 4874, 6856, 24704, 689, 561, 12519, 3679, 610, 14915, 728, 1395, 12002, 267, 799, 616, 3812, 676, 519, 18829, 540, 7031, 899, 8970, 267, 10568, 267, 14043, 267, 12277, 267, 4006, 29647, 543, 7148, 328, 10087, 563, 273, 269, 1548, 568, 621, 1031, 585, 888, 7197, 623, 6369, 11183, 3812, 568, 14461, 543, 568, 1031, 538, 11680, 543, 911, 903, 267, 4352, 8465, 11183, 568, 849, 4742, 2139, 630, 560, 3863, 338, 267, 11435, 3092, 1916, 4415, 3156, 12341, 1063, 602, 540, 27946, 543, 4874, 560, 344, 16867, 267, 623, 6369, 568, 606, 3618, 7888, 267, 1875, 3562, 13877, 4781, 585, 4411, 1426, 11149, 267, 5347, 773, 11680, 543, 2269, 9749, 269, 623, 6369, 666, 849, 581, 16358, 1242, 547, 1106, 9875, 8747, 585, 3156, 971, 607, 6995, 7484, 561, 1749, 543, 623, 6369, 27022, 563, 274, 269, 1215, 547, 26565, 540, 621, 454, 2171, 3810, 4363, 3478, 538, 5905, 609, 513, 3653, 8851, 3028, 609, 606, 4853, 24600, 9744, 269, 4014, 623, 6369, 568, 1312, 27500, 543, 11003, 762, 267, 621, 568, 3622, 711, 5078, 585, 1753, 24600, 269, 7201, 4853, 24600, 2175, 267, 623, 6369, 666, 1491, 476, 274, 268, 275, 3275, 547, 581, 11003, 539, 563, 2005, 779, 849, 1271, 547, 3314, 602, 623, 6369, 15229, 616, 711, 7286, 9714, 762, 267, 6862, 616, 789, 6691, 762, 269, 769, 1249, 267, 952, 16207, 856, 609, 9657, 267, 623, 6369, 666, 581, 5393, 16609, 538, 8764, 908, 519, 9657, 6908, 269, 7490, 26565, 540, 707, 623, 6369, 2472, 14013, 563, 272, 269, 1548, 568, 8713, 6369, 888, 289, 1675, 22869, 8713, 6369, 568, 513, 7848, 540, 14915, 728, 630, 18478, 676, 7542, 13586, 8970, 560, 1105, 267, 10381, 765, 344, 267, 3092, 4700, 543, 620, 760, 1002, 545, 4874, 22246, 630, 324, 3052, 546, 545, 541, 7901, 344, 997, 3679, 610, 28340, 1500, 689, 18829, 540, 9848, 1356, 565, 1040, 898, 666, 581, 2901, 513, 2182, 5068, 610, 513, 2571, 8465, 835, 4470, 593, 519, 2179, 540, 620, 760, 1002, 545, 4874, 6856, 1459, 538, 519, 7848, 269, 2353, 616, 7791, 2200, 563, 273, 269, 1548, 568, 621, 1031, 585, 888, 4263, 15729, 19067, 649, 946, 8713, 6369, 538, 938, 10357, 7888, 2759, 331, 2044, 267, 6995, 7484, 561, 1749, 543, 1896, 1426, 11149, 269, 4033, 3156, 1331, 11003, 11435, 267, 31289, 532, 2326, 267, 1426, 28277, 2326, 267, 10068, 24437, 267, 3092, 269, 898, 568, 2653, 547, 1184, 609, 6617, 909, 547, 476, 1220, 11019, 290, 563, 274, 269, 1215, 547, 26565, 540, 621, 454, 2252, 1651, 10719, 730, 267, 1100, 6757, 6878, 616, 6383, 269, 634, 8022, 1871, 543, 3327, 8166, 6383, 1282, 13674, 616, 2539, 267, 676, 3592, 3368, 519, 1377, 267, 540, 602, 6383, 676, 18027, 610, 13662, 563, 7212, 8713, 6369, 814, 513, 1164, 7636, 2597, 543, 1164, 13621, 15304, 267, 621, 5956, 8840, 1524, 883, 513, 1970, 2173, 12817, 2597, 12249, 267, 538, 2067, 5054, 267, 1310, 476, 276, 268, 277, 3275, 269, 13159, 17883, 1310, 476, 1321, 3275, 269, 1879, 11003, 539, 609, 1426, 20203, 267, 621, 5956, 8840, 1524, 883, 513, 1970, 2173, 12817, 2597, 1310, 476, 273, 4374, 563, 303, 871, 630, 272, 1770, 1070, 590, 23932, 557, 630, 736, 4559, 264, 0, 2467, 616, 1079, 3506, 540, 2219, 519, 2470, 8957, 20741, 7521, 568, 835, 540, 519, 9510, 2152, 538, 6530, 269, 2470, 8957, 20741, 538, 1893, 2319, 3651, 16664, 10467, 1646, 1557, 1957, 11156, 8957, 31026, 576, 538, 4082, 7693, 1557, 1957, 2200, 2470, 5288, 20741, 1893, 1646, 1557, 28170, 542, 713, 3018, 779, 1250, 7223, 6780, 23827, 566, 267, 10508, 5168, 950, 25091, 23827, 566, 1577, 938, 4810, 8808, 5830, 6023, 2470, 5991, 4669, 675, 543, 1893, 1646, 1557, 1957, 269, 519, 7521, 7740, 593, 519, 3448, 7418, 540, 2102, 2045, 18472, 543, 2825, 2188, 547, 1480, 1876, 1153, 2123, 3948, 3594, 1646, 269, 3564, 2470, 5288, 269, 5758, 540, 2470, 5288, 269, 621, 840, 2854, 3594, 585, 9042, 568, 3989, 607, 519, 1184, 676, 799, 2043, 7961, 2299, 5968, 543, 1174, 11913, 23316, 538, 519, 2038, 1296, 1966, 6061, 3785, 540, 519, 1480, 1272, 269, 519, 5107, 2470, 543, 2470, 5288, 20741, 1893, 1646, 1557, 20741, 723, 538, 519, 1184, 540, 1893, 1646, 1646, 20741, 1557, 2470, 1893, 5288, 269, 20741, 538, 561, 1638, 28320, 585, 2370, 20737, 476, 11260, 272, 1913, 1923, 476, 279, 3817, 269, 865, 2470, 5288, 20741, 568, 3592, 835, 543, 519, 1482, 2470, 5288, 20741, 1893, 1646, 1557, 3364, 269, 2576, 945, 568, 21183, 1383, 540, 2565, 3206, 1983, 1131, 581, 3144, 856, 824, 7387, 609, 519, 1318, 1004, 547, 3310, 873, 543, 5000, 873, 269, 519, 7521, 7740, 593, 519, 13558, 1382, 1957, 3584, 3448, 7418, 540, 2102, 2045, 18472, 543, 2825, 2188, 547, 1480, 1646, 269, 519, 7521, 7740, 593, 519, 3448, 7418, 540, 2102, 2045, 7214, 3959, 1557, 18472, 543, 2825, 2188, 547, 1480, 1646, 269, 585, 1603, 3255, 585, 2852, 1053, 5301, 540, 713, 1557, 2470, 568, 2469, 2470, 5288, 20741, 1893, 1646, 1557, 547, 581, 3989, 607, 4162, 10927, 1153, 16075, 1557, 11049, 649, 10536, 998, 938, 4719, 543, 6211, 2188, 1247, 602, 20741, 568, 2469, 547, 581, 3989, 4162, 649, 10536, 2470, 5288, 20741, 4608, 1538, 528, 1242, 1310, 13156, 7819, 4838, 1557, 2055, 938, 1576, 1543, 713, 3018, 267, 2542, 998, 2470, 5288, 20741, 1893, 1646, 1557, 707, 11271, 543, 2348, 6192, 707, 14436, 7084, 270, 22967, 1948, 272, 593, 707, 1646, 267, 5767, 1382, 1957, 1018, 798, 596, 1589, 827, 2470, 5288, 269, 0, 763, 13909, 1849, 1021, 540, 519, 3689, 14821, 540, 519, 2136, 2276, 9139, 729, 2813, 547, 2149, 1018, 2038, 4892, 4718, 607, 513, 4909, 1318, 693, 519, 2295, 540, 1018, 621, 5921, 547, 581, 513, 1863, 543, 11180, 2486, 269, 10801, 519, 22733, 543, 13524, 5553, 267, 1857, 32234, 5129, 606, 7533, 851, 538, 1977, 6214, 543, 2486, 269, 1452, 32234, 9867, 1063, 9709, 543, 5214, 267, 6417, 543, 26093, 269, 21894, 4162, 1223, 581, 11911, 547, 1022, 1880, 10198, 267, 789, 941, 782, 6870, 676, 519, 13909, 1849, 1021, 267, 1312, 538, 519, 4064, 540, 1876, 11268, 543, 519, 4140, 26547, 269, 3683, 519, 2063, 2540, 267, 2705, 267, 519, 1318, 540, 10198, 814, 3144, 513, 1394, 10160, 547, 3106, 4145, 543, 513, 7287, 547, 2226, 519, 4567, 28943, 269, 634, 2113, 10560, 1436, 540, 3013, 779, 2199, 7128, 13623, 2429, 519, 2197, 814, 28978, 713, 7613, 563, 1607, 8074, 733, 1742, 602, 519, 2113, 10560, 1436, 540, 7128, 814, 2813, 606, 693, 2173, 14459, 602, 568, 20244, 693, 12918, 609, 519, 22624, 16798, 676, 519, 9139, 269, 1677, 6439, 1518, 519, 9073, 540, 519, 2250, 267, 519, 8074, 15156, 585, 1614, 1114, 4485, 547, 519, 1966, 269, 3689, 267, 621, 15156, 585, 16324, 2689, 540, 519, 11156, 1275, 540, 519, 1699, 2203, 540, 7128, 3491, 5052, 614, 5872, 1282, 1857, 32234, 543, 519, 2413, 16324, 7664, 540, 519, 13909, 1849, 1021, 269, 5822, 267, 621, 15156, 585, 606, 4367, 540, 9086, 602, 1131, 1101, 24044, 519, 2095, 540, 9604, 543, 2866, 689, 519, 4108, 547, 2199, 7128, 4229, 543, 1287, 9258, 713, 8959, 4603, 15587, 269, 12059, 267, 713, 4063, 5267, 513, 556, 628, 9722, 540, 875, 7128, 2170, 609, 519, 2950, 789, 616, 1572, 547, 4196, 543, 2149, 267, 11021, 602, 519, 2146, 2384, 532, 2203, 1655, 21356, 519, 991, 585, 4509, 2922, 2950, 1247, 1869, 7863, 1367, 22624, 269, 0, 1805, 21880, 28517, 634, 25906, 338, 543, 22165, 327, 454, 289, 805, 327, 22845, 3040, 22165, 3107, 5161, 540, 1079, 11775, 281, 3040 ]

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

[ 779, 1655, 1719, 547, 1521, 1010, 10437, 1134, 2614, 602, 789, 1223, 723, 1453, 563, 7617, 2489, 1500, 513, 3811, 19917, 1190, 13941, 693, 7638, 659, 745, 345, 888, 14197, 12736, 7615, 8845, 454, 7617, 3148, 3366, 519, 4182, 538, 5663, 1282, 519, 1647, 540, 519, 13524, 2540, 888, 1432, 2872, 814, 519, 1034, 838, 13899, 2804, 2208, 888, 7617, 2872, 1034, 838, 13899, 2804, 2208, 543, 5647, 538, 1644, 6080, 286, 15863, 281, 16456, 4238, 2066, 519, 4182, 563, 1432, 1034, 5280, 4492, 519, 4182, 779, 2804, 2208, 888, 7617, 540, 519, 1739, 1034, 5280, 4492, 519, 4182, 779, 2804, 2208, 7790, 7849, 8249, 563, 1692, 1705, 16851, 4492, 22713, 888, 22479, 1388, 1143, 3361, 519, 11633, 7169, 1317, 22713, 2838, 1713, 960, 543, 5092, 689, 2043, 543, 711, 8209, 519, 2229, 269, 901, 5092, 689, 2043, 267, 4171, 3527, 941, 11461, 676, 519, 7443, 30254, 267, 1131, 711, 723, 1044, 2009, 1510, 519, 11944, 540, 16851, 1547, 0, 305, 1156, 1756, 268, 657, 26606, 6580, 1505, 454, 5723, 22552, 16898, 23415, 661, 2752, 901, 1788, 9607, 835, 540, 519, 4909, 24598, 25751, 2877, 547, 1174, 27230, 3157, 602, 3132, 7601, 2173, 8432, 321, 6577, 636, 12074, 2404, 609, 4012, 3901, 1143, 693, 13719, 2157, 538, 519, 3618, 779, 12933, 269, 901, 30343, 568, 519, 12557, 543, 8653, 540, 519, 7777, 1436, 1184, 1369, 519, 6626, 2796, 540, 519, 4012, 3901, 1143, 543, 519, 29684, 543, 27230, 4720, 540, 513, 1768, 8735, 563, 2005, 814, 1044, 1767, 281, 968, 5591, 667, 919, 267, 3143, 26162, 256, 1684, 789, 1106, 936, 9937, 540, 6634, 540, 1296, 610, 811, 2073, 610, 798, 789, 1106, 538, 513, 1906, 4627, 8536, 1296, 610, 1447, 286, 1280, 1383, 267, 835, 6580, 4480, 3322, 519, 946, 540, 1488, 2415, 517, 2073, 513, 3154, 538, 922, 2067, 1533, 267, 543, 4352, 1488, 949, 581, 1336, 543, 6027, 538, 7725, 543, 6886, 267, 713, 568, 711, 513, 6899, 3135, 585, 519, 3693, 563, 1103, 4334, 267, 1312, 1234, 543, 14642, 616, 30423, 2000, 8221, 267, 543, 616, 6923, 13671, 538, 17285, 7626, 6886, 563, 305, 1156, 1756, 268, 657, 26606, 24236, 1062, 18267, 538, 14368, 2572, 594, 281, 7395, 15122, 4401, 14368, 924, 2516, 4083, 5723, 15281, 655, 5674, 518, 590, 6635, 476, 4375, 6635, 6580, 540, 538, 7501, 689, 594, 5723, 4401, 14368, 2572, 563, 294, 7949, 2987, 5025, 573, 585, 11660, 3194, 595, 269, 1323, 2038, 3942, 540, 519, 1459, 1788, 267, 11095, 3646, 585, 1234, 268, 11675, 9382, 941, 1500, 269, 634, 1234, 2527, 26563, 4479, 729, 2356, 22841, 676, 27129, 10145, 267, 855, 6368, 3811, 7403, 941, 25189, 269, 1717, 267, 519, 9295, 540, 27129, 1234, 568, 1869, 1804, 267, 543, 938, 3646, 1590, 581, 2016, 547, 2569, 971, 1198, 269, 634, 1234, 268, 11675, 6580, 1505, 941, 4294, 547, 1896, 5686, 540, 5439, 971, 607, 18983, 1014, 13019, 553, 10440, 1929, 16893, 267, 3735, 30083, 26226, 16095, 18429, 689, 570, 31243, 1895, 267, 21007, 18152, 16095, 18429, 689, 1744, 574, 2033, 2776, 2739, 675, 267, 1459, 6377, 5757, 543, 7286, 21439, 563, 17829, 1239, 5815, 1079, 1271, 3344, 281, 476, 272, 4107, 540, 519, 1929, 16893, 543, 16095, 18429, 22734, 4049, 8143, 2680, 1282, 4511, 523, 2045, 3157, 616, 711, 5078, 585, 1234, 268, 11675, 6580, 269, 1234, 1522, 4043, 547, 581, 20834, 1242, 1282, 971, 3157, 269, 7053, 267, 4352, 3498, 540, 1234, 268, 11675, 1505, 547, 24348, 7725, 1522, 581, 11658, 547, 5266, 1762, 7725, 267, 713, 1505, 1590, 17330, 3007, 585, 2417, 17027, 13753, 563, 11514, 4167, 532, 519, 1234, 268, 11675, 544, 8432, 321, 6577, 924, 2520, 5255, 1258, 10309, 454, 288, 9241, 9715, 2527, 26563, 2678, 24696, 676, 519, 7136, 15190, 668, 4479, 12524, 786, 581, 9862, 547, 3313, 678, 1156, 1756, 543, 23015, 1756, 24236, 9830, 1210, 2942, 8143, 9357, 1436, 2527, 26563, 4479, 715, 2316, 5960, 269, 1284, 4766, 519, 6240, 540, 519, 1234, 268, 11675, 6580, 4480, 543, 519, 8143, 9357, 1436, 9259, 799, 1291, 547, 1164, 8856, 24236, 2079, 593, 715, 2316, 5960, 269, 15840, 322, 718, 808, 301, 2676, 3725, 1700, 11675, 2520, 5255, 1258, 1108, 24598, 1231, 6580, 540, 2326, 689, 14368, 2572, 267, 519, 681, 1156, 1756, 1700, 657, 26606, 2520, 5255, 1258, 1108, 568, 1759, 593, 14599, 9178, 540, 563, 3725, 543, 14642, 616, 2699, 2135, 25259, 543, 1418, 30858, 267, 543, 666, 581, 23353, 538, 1761, 8652, 21666, 2707, 7725, 267, 13545, 521, 1343, 267, 19020, 3282, 267, 543, 3787, 18210, 269, 1234, 268, 11675, 2520, 5255, 1258, 1108, 540, 891, 5214, 11656, 5439, 814, 519, 1761, 585, 1463, 6580, 519, 942, 7406, 540, 8652, 21666, 5250, 267, 9194, 610, 5279, 1369, 513, 19386, 1062, 269, 3371, 267, 649, 2689, 930, 2101, 4080, 2013, 2090, 593, 519, 1234, 268, 11675, 2520, 5255, 1258, 1108, 540, 3282, 543, 3154, 23854, 936, 519, 2063, 8717, 563, 16966, 21073, 9509, 3667, 711, 2139, 269, 7392, 4750, 9137, 269, 5450, 20631, 8058, 2407, 6221, 2594, 269, 27375, 9149, 267, 2098, 269, 20396, 31192, 3427, 4972, 540, 14716, 5004, 563, 10932, 630, 290, 6412, 531, 1234, 268, 11675, 2983, 5255, 1258, 1108, 994, 14946, 618, 540, 1234, 268, 11675, 2520, 5255, 1258, 1108, 585, 12933, 531, 14290, 814, 1044, 5571, 2094, 538, 519, 8047, 269, 901, 960, 814, 8507, 538, 2101, 7760, 538, 519, 1463, 13666, 8084, 6580, 540, 12933, 531, 30423, 6886, 267, 19386, 2707, 268, 549, 4242, 267, 543, 2067, 30691, 267, 1210, 1234, 268, 11675, 24745, 269, 1280, 30423, 6886, 267, 1234, 268, 11675, 2520, 5255, 1258, 1108, 814, 1463, 3498, 547, 519, 12557, 543, 8653, 540, 8652, 31516, 7626, 16005, 5250, 563, 305, 1156, 1756, 543, 23015, 1756, 616, 1418, 30858, 543, 24903, 2699, 2135, 13001, 338, 17567, 267, 19881, 3498, 540, 519, 1234, 1700, 11675, 1062, 547, 519, 6580, 540, 563, 25567, 320, 282, 4639, 540, 2701, 339, 4133, 3282, 26753, 269, 17286, 2421, 779, 1382, 814, 2919, 513, 2189, 2520, 12950, 1907, 7901, 1210, 678, 1156, 1756, 267, 23015, 1756, 267, 31091, 543, 23080, 18123, 602, 1526, 1778, 811, 4977, 17027, 3631, 3056, 547, 1732, 15395, 11236, 269, 634, 1907, 7901, 2488, 5892, 28998, 17027, 942, 10148, 543, 2707, 8446, 540, 2200, 552, 269, 634, 30343, 1382, 5645, 856, 676, 17286, 2421, 570, 5588, 3201, 24153, 538, 8891, 15950, 2983, 657, 7220, 267, 12912, 543, 1010, 1382, 1895, 693, 20736, 5069, 2160, 689, 13393, 547, 1459, 9607, 32618, 4081, 2872, 5829, 2152, 7282, 519, 1646, 540, 7449, 16577, 3047, 2200, 563, 11854, 32496, 267, 4010, 950, 267, 875, 543, 1141, 798, 2200, 267, 971, 607, 3282, 543, 7601, 267, 1106, 538, 7725, 286, 30551, 543, 6639, 8441, 267, 2919, 538, 851, 676, 1382, 693, 20736, 5069, 267, 723, 15868, 519, 946, 540, 5892, 4101, 2520, 12950, 2409, 547, 948, 2626, 2025, 267, 855, 9691, 1271, 17027, 2055, 269, 17286, 2421, 267, 1010, 1382, 1895, 543, 3486, 21769, 476, 277, 12854, 1053, 267, 476, 273, 2022, 28273, 28118, 3173, 267, 2136, 2276, 543, 4516, 24959, 11752, 1382, 5234, 282, 4515, 563, 2026, 513, 1463, 1267, 267, 17286, 2421, 779, 1382, 814, 3989, 543, 8476, 519, 8856, 543, 1620, 540, 1234, 268, 11675, 543, 623, 323, 6261, 339, 10763, 10873, 543, 3693, 531, 7180, 538, 7725, 543, 6886, 269, 901, 814, 4824, 938, 1620, 540, 4719, 3631, 585, 1312, 7777, 543, 8652, 21666, 1949, 1547, 769, 1764, 2474, 267, 519, 6364, 11729, 2565, 2556, 1239, 2838, 585, 3408, 15961, 1496, 4089, 476, 275, 14073, 27407, 17286, 2421, 779, 1382, 814, 3254, 602, 519, 1234, 268, 11675, 1062, 666, 581, 4294, 1454, 811, 4922, 982, 5892, 2219, 543, 814, 5116, 20736, 5069, 693, 519, 21282, 538, 519, 946, 540, 713, 3209, 1382, 1907, 1312, 27268, 543, 998, 2872, 269, 901, 5718, 729, 18931, 676, 519, 8366, 540, 519, 5261, 8055, 8750, 547, 17286, 2421, 689, 519, 24959, 5980, 540, 5507, 585, 17284, 538, 7418, 547, 4294, 543, 2804, 3344, 540, 519, 2257, 543, 676, 519, 570, 5588, 3201, 19386, 2754, 945, 2508, 17286, 2421, 779, 2990, 693, 20736, 5069, 563, 17445, 32619, 6580, 540, 8652, 21666, 12074, 1210, 681, 1156, 1756, 14114, 8243, 1756, 24745, 563, 25542, 15745, 338, 616, 519, 1655, 269, 11289, 1411, 585, 2659, 2552, 9084, 256, 1703, 729, 513, 1966, 609, 707, 19169, 269, 7490, 2119, 1586, 2663, 563, 305, 1156, 1756, 1700, 657, 26606, 6580, 267, 1505, 540, 8159, 519, 2085, 540, 519, 1271, 7626, 7777, 544, 8432, 321, 6577, 924, 282, 519, 1505, 568, 1759, 2390, 519, 14599, 9178, 540, 563, 1607, 1867, 6799, 519, 2164, 540, 678, 1156, 1756, 268, 657, 26606, 1234, 268, 11675, 24236, 2079, 5340, 593, 476, 1556, 5214, 11656, 543, 10237, 8328, 32549, 5439, 689, 519, 1739, 8061, 20897, 543, 30083, 26226, 21272, 538, 3844, 543, 7187, 22598, 15545, 7351, 2143, 14404, 15572, 545, 960, 693, 519, 589, 14899, 2882, 606, 4674, 547, 8207, 24604, 3823, 519, 2085, 543, 14404, 15572, 545, 2990, 540, 513, 1297, 540, 14404, 15572, 545, 4559, 267, 1759, 593, 5730, 24236, 6580, 563, 13146, 8441, 538, 6580, 5214, 11656, 695, 2297, 1210, 519, 1234, 268, 11675, 24236, 1062, 723, 4847, 721, 547, 4266, 1271, 8652, 21666, 2707, 7725, 538, 519, 5375, 4516, 20767, 21747, 19438, 269, 589, 267, 570, 5448, 267, 808, 269, 22598, 24959, 11752, 269, 8191, 521, 623, 3570, 267, 667, 269, 11511, 6471, 267, 681, 269, 570, 5448, 267, 808, 269, 7591, 614, 267, 570, 269, 4856, 27451, 267, 670, 269, 670, 879, 1188, 267, 570, 563, 657, 26606, 24745, 678, 1156, 1756, 454, 302, 24810, 7270, 946, 269, 9523, 6213, 1344, 1152, 593, 4013, 267, 5150, 7270, 269, 1234, 1765, 11675, 2520, 5255, 1258, 1108, 540, 519, 22725, 755, 9068, 5682, 5211, 19725, 281, 29362, 883, 1463, 18254, 531, 6580, 540, 22725, 755, 9068, 1967, 687, 267, 1234, 1765, 11675, 1062, 18267, 543, 12779, 665, 2632, 514, 1581, 29056, 3047, 543, 4643, 8767, 3163, 16707, 269, 1635, 281, 966, 643, 1329, 631, 269, 30086, 755, 9068, 24348, 1967, 687, 1683, 24215, 1164, 22822, 5638, 540, 18626, 17027, 3157, 267, 14775, 547, 29684, 267, 20296, 543, 4012, 15122, 7506, 563, 4322, 1967, 687, 616, 4061, 1898, 585, 12633, 908, 17027, 543, 20296, 9259, 2066, 17407, 543, 2417, 3467, 519, 8608, 563, 305, 1156, 1756, 1700, 657, 26606, 6580, 269, 681, 1156, 1756, 543, 744, 8243, 1756, 941, 9244, 18195, 800, 543, 521, 3187, 2684, 850, 1282, 519, 3355, 934, 4958, 542, 540, 519, 3047, 799, 3361, 563, 288, 1505, 540, 32619, 6580, 1759, 593, 519, 9178, 540, 678, 1156, 1756, 1234, 547, 23015, 1756, 14642, 2073, 609, 513, 3368, 3734, 540, 476, 275, 269, 7457, 547, 519, 2347, 1543, 593, 10228, 13129, 3340, 513, 20478, 610, 6718, 269, 5398, 3755, 616, 2111, 547, 3406, 519, 3135, 543, 2070, 519, 7493, 338, 543, 17161, 585, 1142, 1433, 543, 3184, 1510, 513, 20478, 269, 7490, 24049, 610, 21189, 547, 1569, 2407, 1257, 1543, 269, 1403, 596, 723, 12349, 513, 1820, 2140, 602, 3568, 606, 1569, 18351, 267, 5225, 1294, 519, 18351, 585, 1344, 827, 875, 547, 11578, 707, 3009, 269, 0, 268, 1548, 568, 519, 1448, 540, 519, 561, 17415, 888, 268, 4208, 1705, 789, 561, 2393, 3077, 888, 268, 1548, 568, 519, 6530, 540, 561, 17415, 888, 268, 1548, 568, 519, 2495, 540, 561, 2393, 619, 888, 268, 2052, 596, 1404, 4666, 538, 2112, 888, 268, 1772, 621, 10363, 547, 6146, 21127, 538, 2112, 888, 268, 1548, 1281, 4662, 3386, 1611, 888, 268, 1772, 561, 17415, 513, 2112, 6760, 888, 268, 1548, 798, 596, 798, 1282, 513, 678, 3999, 888, 268, 2052, 7980, 561, 2393, 888, 268, 1548, 1281, 555, 1872, 1611, 888, 268, 1548, 1281, 1486, 6856, 1611, 888, 1432, 568, 519, 1448, 540, 519, 561, 17415, 888, 299, 17415, 676, 513, 4619, 16124, 7952, 1282, 2112, 814, 1044, 1455, 2259, 2429, 6592, 1686, 563, 293, 2393, 7980, 9763, 726, 8974, 607, 513, 1259, 547, 7110, 606, 1419, 803, 698, 516, 4747, 543, 11843, 5763, 2968, 851, 540, 519, 11812, 540, 11802, 10756, 3963, 1705, 789, 561, 2393, 3077, 888, 763, 27010, 4558, 729, 561, 2393, 539, 1282, 513, 13889, 1996, 519, 2669, 540, 4469, 20477, 267, 513, 476, 5379, 4458, 6040, 796, 28534, 3109, 812, 945, 729, 7166, 593, 11728, 1310, 513, 3043, 7128, 11464, 267, 667, 699, 330, 932, 879, 9109, 267, 5679, 3881, 593, 1010, 8405, 1282, 606, 10654, 563, 1432, 568, 519, 6530, 540, 561 ]

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

[ 1524, 2072, 538, 606, 21933, 1664, 4287, 547, 519, 1647, 540, 519, 627, 528, 331, 267, 1287, 621, 14258, 21933, 1664, 569, 585, 2072, 547, 519, 897, 636, 7578, 269, 634, 897, 636, 7578, 568, 2786, 267, 5594, 10630, 543, 16813, 559, 5344, 269, 634, 30085, 568, 1134, 3989, 267, 519, 1560, 627, 528, 331, 568, 1804, 543, 519, 27934, 568, 2647, 269, 634, 2627, 540, 519, 7387, 568, 25861, 569, 4174, 730, 267, 519, 4174, 2801, 1246, 1482, 1576, 607, 519, 6316, 540, 519, 27934, 269, 2311, 519, 1377, 540, 519, 25034, 566, 540, 519, 27934, 519, 4174, 2801, 7455, 23651, 543, 20733, 547, 1106, 513, 1183, 601, 1472, 519, 1804, 1560, 627, 528, 331, 630, 297, 13183, 2088, 16813, 32281, 1092, 476, 272, 267, 3967, 628, 2088, 16813, 32281, 1092, 476, 273, 1040, 634, 1766, 1529, 636, 568, 15534, 538, 4079, 267, 519, 28287, 616, 1804, 267, 519, 2234, 3121, 568, 1507, 543, 519, 4522, 616, 3875, 855, 519, 3844, 4522, 616, 15877, 563, 9515, 961, 4463, 909, 547, 476, 280, 6515, 267, 4463, 27934, 909, 547, 476, 277, 6515, 267, 8700, 540, 27934, 909, 547, 476, 275, 269, 276, 6515, 563, 763, 5104, 32596, 723, 513, 632, 868, 337, 958, 1071, 6150, 7387, 269, 589, 2027, 6609, 568, 711, 2139, 563, 1607, 2249, 568, 513, 642, 643, 760, 541, 748, 267, 1486, 663, 878, 1200, 332, 7469, 16967, 924, 563, 1607, 2249, 568, 513, 23097, 5387, 2627, 17743, 518, 799, 20555, 593, 966, 25279, 12848, 267, 3967, 628, 514, 13160, 267, 670, 8932, 984, 520, 13160, 543, 590, 13023, 517, 641, 1817, 320, 563, 1607, 2249, 568, 1336, 538, 3636, 1216, 540, 782, 12084, 1519, 519, 4414, 7256, 267, 1294, 519, 3967, 628, 2088, 16813, 32281, 1092, 4786, 563, 297, 13183, 2088, 16813, 32281, 1092, 546, 262, 7775, 321, 793, 344, 267, 476, 7277, 272, 281, 476, 29300, 563, 15650, 711, 8612, 563, 13911, 1327, 1275, 281, 4440, 689, 519, 18010, 543, 4165, 650, 1014, 7297, 269, 0, 8967, 2001, 15098, 13315, 10936, 7206, 267, 10936, 3282, 532, 267, 543, 10936, 13058, 269, 769, 713, 2796, 267, 10936, 7206, 543, 10936, 3282, 532, 616, 2808, 519, 1482, 1184, 543, 786, 581, 15217, 5219, 547, 607, 10936, 7206, 269, 32254, 15098, 267, 849, 1634, 607, 5068, 30574, 267, 568, 513, 1114, 1184, 543, 786, 581, 5219, 547, 607, 8869, 15098, 538, 713, 2376, 269, 1975, 2001, 13058, 267, 1419, 1031, 585, 1804, 11265, 5374, 3889, 610, 1164, 24683, 663, 4496, 960, 20355, 267, 786, 711, 581, 519, 1445, 540, 713, 4901, 269, 2913, 779, 2911, 827, 8869, 15098, 5288, 7206, 538, 18634, 2221, 563, 16449, 782, 519, 2627, 2126, 2010, 5018, 267, 10936, 7206, 568, 24903, 519, 14724, 269, 898, 3322, 26311, 5862, 883, 513, 7463, 10936, 7206, 3926, 543, 1210, 513, 10936, 7784, 547, 10359, 519, 32179, 269, 634, 4062, 568, 1287, 2451, 547, 3819, 6923, 610, 568, 12015, 1210, 1164, 3002, 269, 4935, 267, 621, 779, 513, 5266, 3551, 2168, 1184, 563, 763, 3937, 543, 2553, 1031, 538, 891, 3157, 4268, 267, 3056, 547, 3604, 538, 9403, 543, 1942, 563, 11795, 3720, 9737, 1975, 2001, 27006, 543, 32254, 3213, 908, 454, 4131, 779, 13713, 7291, 741, 1883, 3604, 912, 8967, 2001, 27006, 5288, 269, 32254, 3213, 908, 281, 1975, 2001, 7206, 568, 513, 4480, 540, 12165, 532, 5277, 5862, 267, 4122, 5219, 547, 607, 5862, 883, 5386, 7452, 5536, 799, 616, 27762, 593, 519, 2627, 540, 606, 1843, 1210, 19316, 2011, 269, 32254, 15098, 267, 593, 519, 824, 1688, 3096, 19316, 2011, 547, 10936, 8869, 538, 513, 1164, 19581, 5653, 6850, 18878, 2361, 269, 634, 8869, 5536, 616, 1287, 6537, 2509, 519, 2627, 540, 519, 1843, 1210, 606, 3167, 2361, 563, 763, 22043, 12910, 585, 32254, 3213, 908, 281, 32254, 15098, 607, 513, 1184, 568, 5265, 5219, 547, 607, 968, 19491, 15543, 1738, 8869, 15098, 1848, 898, 779, 711, 519, 4990, 540, 4305, 602, 666, 581, 12913, 1210, 1175, 606, 8723, 10936, 5862, 7784, 269, 16811, 585, 8869, 15098, 13408, 513, 8869, 3761, 22902, 1210, 19316, 2011, 267, 513, 4400, 19581, 5653, 6850, 18878, 11718, 543, 606, 6850, 18878, 10936, 7784, 269, 30482, 543, 11255, 32340, 616, 519, 5068, 8869, 1031, 538, 713, 1184, 269, 634, 1292, 2186, 568, 30482, 8869, 1500, 540, 3134, 20293, 18300, 267, 799, 538, 2474, 540, 5888, 15320, 21739, 689, 519, 5862, 563, 26046, 540, 18567, 1280, 24951, 32254, 3213, 908, 5288, 27006, 454, 303, 32535, 3213, 908, 6713, 454, 272, 269, 3143, 3752, 24000, 538, 32254, 3213, 520, 902, 912, 303, 32535, 23541, 798, 711, 2270, 1022, 30177, 543, 616, 476, 1911, 260, 4396, 269, 901, 2460, 9607, 5533, 2152, 3361, 676, 30177, 1282, 5663, 267, 6283, 267, 4859, 267, 543, 3498, 269, 898, 10607, 519, 2324, 2175, 585, 12427, 543, 2640, 741, 1072, 563, 273, 269, 22217, 1881, 3213, 908, 6713, 912, 763, 8869, 15098, 1184, 3322, 1175, 1614, 3268, 281, 30574, 519, 8869, 267, 27955, 267, 543, 9023, 267, 3850, 585, 513, 835, 9912, 4670, 5250, 269, 901, 16134, 3648, 6908, 6050, 519, 15098, 1184, 267, 2110, 839, 519, 2504, 4783, 267, 543, 6087, 1587, 3977, 593, 519, 1482, 1554, 269, 769, 6850, 18878, 8869, 15098, 267, 519, 5610, 540, 13128, 15098, 12227, 543, 513, 9657, 1062, 666, 1291, 547, 12747, 2504, 267, 9494, 1648, 543, 2200, 543, 7393, 7607, 563, 274, 269, 4400, 13139, 1436, 15580, 540, 32254, 3213, 520, 902, 912, 303, 32535, 23541, 666, 581, 2047, 4294, 547, 519, 2627, 540, 519, 1843, 543, 23174, 676, 11256, 547, 1106, 513, 15098, 269, 1133, 4310, 8869, 666, 581, 6394, 543, 32419, 267, 609, 513, 13345, 2557, 540, 936, 476, 4817, 18336, 275, 269, 667, 9092, 543, 4400, 6261, 518, 18504, 32254, 3213, 520, 902, 912, 303, 32535, 23541, 666, 581, 1500, 689, 759, 1231, 602, 616, 1202, 20107, 693, 4055, 2837, 610, 1164, 2173, 12817, 27954, 759, 1231, 602, 3112, 581, 4508, 1030, 1221, 269, 901, 2164, 538, 1164, 26024, 23541, 609, 1585, 29782, 269, 634, 9000, 540, 30177, 538, 519, 7041, 610, 4670, 5250, 1184, 11151, 8930, 32440, 538, 519, 15098, 267, 1818, 621, 16437, 518, 563, 276, 269, 2290, 6874, 830, 3213, 908, 25334, 2225, 912, 288, 2582, 3498, 540, 8869, 15098, 666, 3035, 513, 4670, 11098, 540, 476, 2004, 547, 476, 4968, 32755, 1510, 519, 5671, 6137, 610, 29345, 3101, 2152, 1455, 609, 5394, 5862, 3156, 269, 898, 849, 30417, 19857, 8930, 32440, 543, 12889, 2404, 609, 5394, 4670, 23541, 267, 543, 3091, 1164, 6316, 3795, 269, 769, 4334, 267, 5862, 3335, 3340, 2789, 3156, 547, 3035, 513, 2147, 11098, 610, 2298, 563, 277, 269, 12694, 538, 7822, 21744, 912, 19284, 5862, 267, 799, 666, 581, 6404, 593, 21935, 267, 519, 2681, 540, 8869, 23541, 568, 24441, 693, 519, 12051, 269, 21744, 519, 2681, 3340, 19249, 519, 8869, 15098, 4542, 267, 1818, 2656, 2681, 2242, 4101, 269, 5082, 15543, 1738, 30574, 19329, 9488, 7738, 540, 519, 10936, 7784, 267, 8869, 28680, 267, 10936, 12068, 267, 3560, 12992, 267, 543, 9657, 1062, 1282, 2681, 2242, 267, 2523, 950, 15175, 1063, 4158, 543, 1769, 4778, 563, 278, 269, 30975, 538, 19793, 1324, 774, 514, 8606, 916, 912, 18814, 547, 519, 3741, 540, 6850, 18878, 30574, 267, 519, 11098, 540, 8869, 23541, 568, 3622, 1657, 476, 2004, 32755, 269, 4634, 609, 1164, 7779, 8869, 23541, 543, 6099, 2175, 267, 8236, 513, 4670, 11098, 2630, 476, 2412, 32755, 568, 4101, 563, 279, 269, 590, 2775, 569, 769, 2536, 1640, 17183, 3911, 26743, 1145, 912, 303, 32535, 23541, 267, 799, 7048, 593, 3002, 14001, 13621, 543, 1377, 532, 593, 519, 1843, 267, 723, 513, 2362, 13621, 25297, 269, 901, 666, 1267, 538, 513, 5594, 10538, 24406, 601, 9403, 267, 1818, 519, 15098, 1447, 5347, 982, 5862, 563, 280, 269, 15742, 7799, 14591, 912, 763, 7687, 540, 519, 8869, 15098, 1184, 616, 5631, 538, 1614, 2127, 281, 3689, 267, 2094, 519, 27955, 2837, 540, 8869, 23541, 568, 3622, 1657, 476, 8182, 9180, 267, 713, 9673, 1206, 741, 946, 593, 3002, 25259, 2472, 899, 15229, 269, 5822, 267, 607, 1034, 8869, 15098, 3157, 946, 6850, 18878, 30574, 267, 519, 1843, 1590, 581, 25801, 269, 6348, 31475, 28351, 3615, 2154, 25801, 2126, 543, 1590, 16641, 5210, 1657, 476, 8182, 9180, 563, 8967, 2001, 27006, 6713, 454, 272, 269, 22453, 7352, 1214, 540, 10266, 1206, 912, 19770, 11008, 3278, 19267, 883, 11157, 8696, 2101, 2010, 267, 609, 5215, 540, 8677, 2139, 267, 543, 1007, 2010, 616, 16111, 6932, 269, 20305, 666, 2824, 519, 1034, 5078, 5862, 1759, 593, 1587, 2773, 267, 6165, 267, 543, 2825, 2188, 547, 3035, 6099, 15098, 2164, 563, 273, 269, 18043, 6713, 9828, 912, 8967, 2001, 7206, 3082, 338, 1134, 547, 1585, 2409, 267, 1519, 11453, 7206, 267, 16702, 15098, 267, 2095, 15098, 267, 16945, 15098, 267, 17180, 15098, 267, 2011, 10936, 7206, 267, 1164, 25774, 2011, 1652, 10936, 7206, 267, 32661, 648, 6776, 7206, 267, 543, 6850, 18878, 10936, 7206, 269, 7324, 891, 267, 11453, 7206, 267, 2011, 10936, 7206, 267, 543, 32661, 648, 6776, 7206, 616, 4922, 1031, 563, 274, 269, 13722, 19461, 16811, 20971, 912, 8967, 2001, 7206, 3937, 5631, 2882, 10936, 15963, 267, 2011, 14771, 832, 267, 3282, 21226, 3021, 2209, 267, 543, 2556, 2011, 554, 4680, 269, 22702, 547, 519, 8101, 5092, 2838, 585, 8869, 15098, 3937, 267, 10936, 7206, 3322, 1447, 3355, 3854, 267, 2539, 2504, 3790, 267, 543, 18334, 3854, 6051, 563, 275, 269, 22217, 1881, 2776, 2389, 13015, 6713, 912, 1103, 10936, 7206, 267, 7064, 547, 519, 5140, 15309, 1790, 516, 3685, 3601, 540, 2215, 619, 543, 741, 1434, 28455, 547, 1312, 26828, 543, 1283, 1723, 1846, 267, 519, 14809, 4187, 540, 519, 15098, 568, 3648, 8476, 267, 4180, 519, 15325, 540, 519, 15098, 269, 8307, 2554, 516, 2084, 543, 3541, 755, 532, 5574, 616, 2877, 1354, 7311, 519, 29194, 267, 7551, 28976, 519, 840, 2389, 13015, 1184, 267, 9494, 2504, 3790, 267, 543, 5355, 4398, 563, 276, 269, 7043, 518, 13870, 18888, 543, 14451, 15788, 8779, 912, 8967, 2001, 7206, 3322, 811, 3268, 982, 8869, 15098, 269, 4438, 3498, 267, 621, 3340, 519, 946, 540, 2215, 619, 267, 2322, 2906, 267, 6094, 2996, 267, 543, 1283, 1723, 1846, 267, 609, 15018, 942, 2877, 1063, 1142, 1900, 269, 2368, 19267, 849, 2154, 3002, 15018, 269, 4475, 267, 6236, 1570, 4616, 267, 1648, 946, 267, 543, 4074, 3790, 267, 519, 2949, 1942, 540, 10936, 7206, 568, 2362, 982, 8869, 15098, 267, 543, 519, 2504, 4783, 568, 3476, 563, 277, 269, 18648, 7025, 13437, 912, 295, 1301, 995, 547, 7358, 2209, 685, 2657, 281, 10266, 1206, 2270, 5214, 30177, 602, 666, 2019, 520, 559, 1125, 883, 519, 2011, 1282, 3498, 543, 27955, 269, 5794, 10936, 7206, 7472, 513, 1713, 2179, 540, 936, 4944, 2001, 543, 5862, 5134, 267, 799, 568, 5739, 547, 1072, 267, 26089, 519, 946, 540, 8825, 13968, 676, 12427, 563, 278, 269, 14451, 9605, 32126, 22702, 547, 32254, 3213, 908, 912, 8967, 2001, 7206, 13514, 513, 2362, 3595, 1981, 982, 8869, 15098, 585, 1896, 4128, 281, 3689, 267, 519, 5214, 30177, 538, 5862, 616, 3810, 19979, 543, 666, 3362, 5337, 924, 610, 1011, 1712, 2390, 3346, 609, 1930, 26428, 610, 31168, 269, 32254, 23541, 798, 711, 2270, 5214, 30177, 267, 3976, 9306, 513, 2539, 1981, 269, 5822, 267, 519, 8755, 1448, 267, 27307, 1448, 267, 543, 27307, 1648, 540, 5862, 616, 2539, 982, 1346, 540, 8869, 23541, 267, 3056, 547, 5488, 13674, 3262, 269, 14936, 267, 519, 14910, 3937, 267, 2324, 1604, 267, 543, 10512, 5773, 538, 2011, 10936, 7206, 616, 3622, 1447, 4359, 982, 538, 8869, 15098, 267, 2810, 519, 1981, 540, 3595, 563, 2005, 779, 1271, 547, 4063, 602, 1247, 10936, 7206, 814, 513, 2362, 3595, 1981, 982, 8869, 15098, 267, 538, 519, 4686, 2680, 540, 606, 16411, 267, 519, 8515, 543, 16160, 1379, 540, 513, 8869, 15098, 16411, 666, 581, 1454, 3152, 982, 602, 540, 5277, 19267, 563, 303, 32535, 3213, 908, 5288, 27006, 15788, 18948, 454, 20245, 8177, 281, 32254, 15098, 568, 1419, 2938, 607, 1373, 1447, 17672, 547, 519, 1604, 982, 3044, 10936, 7206, 269, 898, 32307, 14758, 5666, 540, 19979, 5214, 7135, 630, 309, 31237, 264, 602, 616, 5739, 547, 1480, 1072, 543, 519, 1604, 563, 291, 13701, 543, 5685, 880, 281, 13575, 8869, 15098, 3947, 513, 23198, 543, 811, 1256, 9096, 982, 10936, 7206, 269, 898, 568, 811, 11259, 547, 669, 6235, 267, 31153, 543, 824, 5957, 543, 15237, 1818 ]

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

[ 1085, 28123, 593, 2486, 269, 2311, 2053, 621, 779, 513, 1434, 2856, 547, 5595, 27902, 547, 10018, 519, 2979, 1568, 856, 780, 763, 1034, 1455, 3446, 568, 476, 272, 560, 6103, 267, 865, 602, 779, 519, 7154, 269, 1703, 779, 1100, 3668, 540, 5140, 3450, 2994, 585, 3450, 2979, 538, 3860, 2081, 269, 1403, 1053, 616, 4617, 538, 519, 4909, 2035, 267, 519, 12918, 540, 873, 4742, 2178, 538, 519, 811, 14969, 2035, 568, 3833, 28489, 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 ]

[ 0, 2005, 531, 545, 1125, 610, 10839, 4760, 2376, 10643, 454, 2421, 966, 5085, 22849, 645, 269, 5788, 454, 2690, 1773, 965, 3333, 732, 23670, 3827, 972, 616, 811, 1100, 7440, 1063, 519, 3688, 1498, 972, 616, 19421, 1354, 543, 1310, 519, 3197, 269, 1403, 707, 682, 2758, 1281, 8197, 723, 513, 20396, 7485, 3634, 267, 946, 713, 2144, 560, 540, 519, 15745, 607, 519, 20396, 8482, 568, 21483, 543, 2760, 10678, 563, 268, 19928, 12781, 262, 4408, 7831, 12995, 4266, 269, 13575, 267, 946, 519, 2407, 2012, 540, 513, 9304, 267, 543, 3095, 621, 593, 922, 1101, 5920, 952, 2296, 6741, 5474, 616, 2693, 547, 581, 14542, 609, 621, 476, 7367, 6902, 7766, 20825, 666, 946, 519, 9304, 1129, 1175, 476, 6434, 12652, 269, 1215, 547, 2422, 32228, 923, 269, 744, 340, 1058, 24495, 545, 1125, 519, 10643, 540, 1279, 3860, 1568, 538, 269, 681, 1383, 281, 634, 9931, 9335, 4750, 568, 519, 269, 4014, 519, 2140, 540, 513, 4760, 2376, 610, 1433, 269, 9210, 519, 24495, 923, 543, 3854, 1436, 540, 519, 269, 661, 875, 519, 1433, 543, 2376, 10643, 1413, 950, 3854, 1242, 563, 268, 2372, 582, 725, 602, 616, 16627, 1058, 581, 12799, 13747, 689, 1346, 602, 616, 711, 269, 4750, 2376, 267, 1433, 269, 589, 1433, 2140, 896, 20040, 610, 24495, 545, 1242, 950, 17511, 538, 16643, 3898, 798, 596, 896, 1467, 10643, 286, 32228, 545, 1125, 286, 10925, 3330, 10839, 7436, 27085, 769, 606, 1557, 267, 950, 596, 2446, 606, 2376, 798, 596, 896, 1467, 267, 24495, 545, 1125, 267, 610, 2322, 24324, 888, 268, 7151, 281, 1323, 7701, 5433, 7210, 609, 519, 2770, 19108, 269, 1684, 596, 24495, 545, 1125, 519, 2140, 540, 513, 4760, 27085, 1411, 896, 1467, 610, 24495, 545, 1125, 519, 10643, 540, 9954, 286, 1280, 10643, 540, 1034, 9954, 946, 946, 19722, 7436, 269, 769, 606, 1557, 267, 950, 596, 2446, 606, 2376, 798, 596, 896, 1467, 267, 24495, 545, 1125, 267, 610, 2322, 24324, 888, 268, 3776, 14905, 3898, 11718, 267, 610, 14905, 11239, 32063, 267, 5932, 707, 14327, 3533, 543, 3362, 269, 4750, 2376, 267, 1433, 269, 589, 1433, 2140, 896, 20040, 610, 24495, 545, 1242, 950, 17511, 538, 16643, 3898, 798, 596, 896, 1467, 10643, 286, 32228, 545, 1125, 286, 10925, 3330, 10839, 7436, 286, 563, 268, 8307, 31194, 519, 1101, 4484, 1141, 713, 568, 6923, 1572, 585, 267, 610, 950, 4481, 13288, 547, 519, 5532, 2376, 676, 922, 2012, 281, 616, 1419, 267, 855, 1152, 10355, 1294, 269, 1548, 798, 596, 2322, 538, 834, 638, 21320, 7436, 22172, 9137, 10643, 689, 17476, 267, 14786, 267, 13746, 269, 2311, 798, 596, 24495, 545, 1125, 286, 8794, 32228, 923, 543, 7201, 23164, 269, 4985, 269, 2422, 24495, 923, 269, 1684, 711, 24495, 545, 1125, 519, 10643, 540, 1279, 10723, 1568, 281, 519, 6426, 267, 519, 31704, 534, 563, 268, 5565, 585, 1010, 2063, 476, 1704, 16248, 16125, 538, 476, 1556, 693, 1532, 1846, 12749, 476, 1015, 267, 855, 1283, 2947, 267, 1283, 1614, 4415, 13836, 10391, 2474, 267, 519, 1739, 6163, 1058, 581, 1031, 281, 289, 520, 1154, 3328, 568, 269, 25315, 956, 281, 1879, 547, 32228, 545, 1125, 267, 7201, 1467, 267, 610, 2422, 269, 25315, 956, 267, 596, 666, 2901, 24495, 545, 1125, 873, 610, 269, 654, 9263, 12649, 4760, 4930, 1521, 3014, 10643, 607, 3756, 616, 513, 269, 14474, 1154, 25315, 956, 540, 31157, 538, 17090, 13910, 269, 715, 1968, 16390, 269, 661, 572, 3652, 4019, 547, 10643, 538, 519, 1257, 267, 538, 2385, 16375, 14327, 267, 543, 538, 3718, 24764, 2985, 13366, 563, 763, 12968, 652, 547, 6153, 1145, 18266, 593, 24495, 545, 1125, 610, 10839, 4760, 2376, 10643, 454, 310, 7364, 24495, 545, 1125, 610, 10839, 4760, 2376, 10643, 513, 15028, 1134, 540, 519, 267, 513, 1875, 17416, 28855, 344, 269, 769, 606, 27727, 267, 950, 596, 476, 20488, 606, 556, 4621, 573, 3130, 798, 596, 8404, 267, 24495, 545, 1125, 267, 24495, 545, 1125, 610, 10839, 4760, 2376, 10643, 2322, 621, 269, 1280, 267, 568, 1310, 718, 331, 267, 1310, 22433, 269, 1284, 1131, 660, 6775, 519, 14803, 5224, 540, 519, 13804, 320, 14295, 320, 3450, 519, 1863, 532, 19802, 610, 519, 14265, 1017, 540, 23531, 13419, 1005, 16042, 1022, 540, 519, 7399, 610, 519, 15240, 656, 658, 12791, 540, 519, 2353, 18223, 269, 20226, 281, 594, 3769, 596, 594, 7000, 596, 269, 5403, 12392, 2123, 6898, 5439, 14474, 3571, 14313, 281, 7201, 6050, 267, 28397, 1356, 269, 3367, 338, 547, 9320, 2904, 327, 777, 2659, 8211, 1023, 281, 2701, 267, 32228, 923, 269, 589, 997, 1125, 267, 610, 2322, 513, 1808, 269, 1215, 798, 594, 561, 712, 606, 18241, 1369, 606, 14905, 5086, 269, 1772, 621, 538, 24795, 610, 10259, 27085, 1411, 616, 17911, 519, 2012, 540, 513, 3259, 267, 519, 26363, 2012, 1131, 581, 538, 7350, 269, 1215, 798, 594, 4626, 564, 762, 606, 556, 4621, 573, 3130, 1369, 606, 14905, 17945, 269, 1772, 621, 538, 2127, 610, 1646, 27085, 1411, 616, 3257, 519, 2012, 540, 513, 1808, 267, 519, 14909, 2012, 1131, 581, 538, 3375, 563, 6011, 547, 2328, 606, 2079, 1557, 593, 513, 4633, 910, 11137, 454, 3963, 950, 594, 1651, 2787, 513, 25499, 1946, 1082, 5098, 856, 563, 268, 1280, 1383, 281, 2690, 513, 15682, 17609, 1210, 12380, 267, 596, 949, 4283, 561, 338, 620, 269, 594, 1131, 4363, 513, 3935, 547, 5094, 519, 2140, 689, 519, 5705, 1856, 267, 3226, 952, 1312, 616, 593, 519, 1482, 1899, 269, 16692, 3201, 5058, 23166, 570, 3951, 299, 2464, 5442, 17090, 11123, 21316, 269, 8493, 1652, 540, 952, 621, 568, 606, 2376, 610, 840, 6570, 269, 715, 1457, 1467, 610, 24495, 545, 1125, 1804, 1568, 610, 1568, 602, 2270, 824, 1568, 269, 1684, 596, 24495, 545, 1125, 519, 2140, 540, 513, 4760, 27085, 1411, 896, 1467, 610, 24495, 545, 1125, 519, 10643, 540, 9954, 286, 1280, 10643, 540, 1034, 9954, 946, 946, 19722, 7436, 563, 268, 1684, 711, 723, 930, 5220, 1224, 834, 821, 16519, 21144, 257, 25250, 856, 543, 1866, 834, 273, 16519, 268, 276, 257, 10230, 269, 1530, 3517, 28551, 547, 596, 782, 269, 4635, 32228, 923, 543, 7201, 23164, 269, 4985, 269, 2422, 24495, 923, 269, 1684, 711, 24495, 545, 1125, 519, 10643, 540, 1279, 10723, 1568, 281, 519, 6426, 267, 519, 31704, 534, 269, 7743, 569, 14474, 2659, 25315, 956, 281, 7201, 6050, 267, 32228, 923, 269, 13786, 525, 547, 7743, 569, 14474, 2659, 25315, 956, 281, 7201, 6050, 267, 32228, 923, 269, 589, 997, 1125, 267, 610, 2322, 513, 19722, 563, 268, 590, 3415, 1175, 9250, 519, 10600, 16595, 12676, 3556, 269, 1717, 267, 24735, 10259, 543, 1462, 4919, 6959, 1058, 3274, 581, 22621, 1510, 6085, 585, 1383, 267, 2953, 2596, 569, 547, 10416, 543, 3771, 817, 338, 618, 547, 18275, 2073, 8259, 519, 17277, 568, 1257, 1302, 1271, 269, 769, 1010, 13002, 519, 562, 338, 1413, 899, 579, 781, 269, 681, 10643, 540, 2835, 269, 634, 5398, 543, 4750, 12041, 269, 715, 339, 550, 593, 589, 7246, 15015, 540, 13910, 3340, 513, 563, 268, 1703, 1058, 2760, 581, 513, 3834, 1156, 610, 513, 21686, 5612, 1739, 513, 3935, 269, 901, 568, 3226, 1271, 1141, 10736, 4559, 616, 3238, 519, 476, 277, 13463, 551, 732, 29438, 527, 476, 1691, 269, 1684, 711, 24495, 545, 1125, 267, 896, 1467, 267, 610, 2322, 10530, 1472, 519, 10643, 540, 10156, 1568, 971, 607, 4760, 4930, 610, 3594, 538, 12995, 10070, 269, 661, 848, 4063, 269, 1215, 798, 594, 2446, 606, 2376, 1369, 606, 14905, 1957, 286, 1772, 621, 538, 10530, 610, 24495, 923, 27085, 1411, 616, 26159, 519, 2012, 540, 513, 4760, 267, 519, 4760, 2012, 1131, 581, 538, 24495, 923, 563, 268, 1717, 267, 610, 2453, 602, 723, 1455, 946, 538, 2296, 267, 971, 607, 23463, 23463, 23463, 798, 711, 2154, 24495, 545, 1436, 269, 594, 1223, 660, 3494, 602, 1352, 1767, 538, 519, 1482, 4845, 29380, 344, 543, 769, 4003, 256, 1548, 798, 596, 2322, 538, 834, 638, 21320, 7436, 22172, 9137, 10643, 689, 17476, 267, 14786, 267, 13746, 269, 2311, 798, 596, 24495, 545, 1125, 286, 26705, 1154, 25315, 956, 540, 31157, 538, 17090, 13910, 269, 715, 1968, 16390, 269, 661, 572, 3652, 4019, 547, 10643, 538, 519, 1257, 267, 538, 2385, 16375, 14327, 267, 543, 538, 3718, 24764, 2985, 13366, 563, 8196, 3231, 1676, 543, 22898, 16702, 838, 2130, 569, 269, 10201, 622, 267, 898, 17066, 899, 519, 2296, 3896, 3391, 585, 547, 1491, 883, 8313, 602, 972, 616, 5827, 2111, 1369, 799, 646, 949, 581, 8465, 950, 2362, 607, 513, 5757, 267, 607, 594, 2981, 596, 594, 993, 711, 513, 1100, 835, 269, 744, 651, 327, 798, 596, 2322, 538, 834, 12047, 2117, 566, 20159, 2668, 4762, 710, 1964, 1778, 24495, 545, 1125, 610, 10839, 4760, 2376, 10643, 1082, 267, 12383, 267, 13746, 269, 2311, 798, 596, 7703, 286, 1692, 547, 2422, 1160, 12923, 269, 744, 340, 1058, 5614, 519, 5528, 2239, 1557, 3791, 1268, 1383, 1603, 811, 22510, 1568, 538, 269, 681, 533, 2678, 281, 634, 9315, 1773, 659, 731, 5403, 518, 568, 519, 269, 1520, 329, 8809, 547, 519, 1883, 267, 7440, 616, 1476, 17014, 585, 281, 32228, 545, 1125, 610, 10839, 4760, 2376, 10643, 540, 2798, 267, 13746, 543, 1082, 267, 6054, 269, 661, 2817, 10164, 550, 540, 6176, 2882, 269, 1280, 1135, 2716, 281, 301, 10494, 616, 4749, 519, 5220, 602, 596, 961, 5260, 712, 267, 855, 711, 782, 3344, 616, 519, 269, 1215, 1131, 621, 30134, 1205, 1369, 519, 2278, 269, 5620, 596, 585, 2870, 6789, 298, 2475, 269, 744, 596, 3390, 519, 26363, 540, 513, 1318, 538, 707, 1378, 269, 1215, 798, 594, 15513, 513, 3811, 1433, 2006, 950, 6721, 513, 1880, 610, 606, 1958, 549, 16670, 689, 519, 5098, 286, 2710, 596, 7703, 519, 14953, 540, 513, 1641, 538, 269, 589, 997, 1125, 519, 14909, 538, 707, 10131, 281, 898, 540, 269, 654, 798, 594, 22406, 547, 3899, 519, 2012, 540, 519, 7694, 543, 4760, 332, 698, 8872, 563, 8253, 476, 280, 3766, 877, 1867, 1792, 752, 269, 0, 268, 3962, 942, 596, 1118, 513, 1689, 547, 707, 1062, 267, 4946, 610, 9427, 8800, 610, 3301, 267, 2594, 519, 1689, 269, 1548, 568, 513, 2780, 3644, 286, 8950, 8290, 616, 1507, 3301, 3292, 602, 616, 2966, 547, 3262, 689, 835, 2780, 547, 1776, 543, 547, 15936, 609, 2780, 563, 268, 23675, 666, 849, 1831, 3615, 540, 6760, 950, 789, 610, 741, 9115, 616, 8697, 267, 585, 1383, 950, 642, 663, 1023, 4323, 519, 2780, 3294, 267, 610, 950, 513, 834, 26367, 3644, 257, 513, 1982, 5827, 540, 19249, 610, 2144, 2084, 2780, 3965, 568, 5189, 883, 513, 2780, 1062, 269, 1280, 1655, 3406, 2164, 267, 2247, 519, 1739, 10372, 281, 11408, 5595, 2638, 707, 10259, 269, 4985, 1703, 616, 1100, 5730, 267, 6325, 7194, 593, 519, 2179, 540, 2780, 6760, 543, 519, 2804, 2530, 547, 9601, 267, 14356, 1317, 1082, 540, 891, 10963, 616, 269, 8950, 17235, 269, 661, 946, 540, 513, 2780, 547, 1491, 610, 7369, 1239, 267, 610, 547, 2744, 796, 32016, 946, 540, 5904, 610, 2533, 269, 20531, 540, 519, 17545, 540, 519, 2780, 267, 5373, 563, 268, 1924, 1004, 3576, 621, 543, 607, 621, 4283, 323, 519, 2749, 519, 7980, 3357, 856, 540, 519, 7504, 1140, 22486, 519, 2749, 269, 1284, 1683, 5140, 1557, 1603, 3028, 476, 26316, 269, 20717, 21295, 1557, 1603, 543, 2688, 1603, 2533, 3177, 676, 3318, 4081, 5830, 563, 268, 769, 1931, 585, 1004, 267, 547, 2149, 2933, 267, 789, 1590, 581, 3222, 540, 519, 2596, 2010, 540, 17351, 3301, 267, 875, 789, 616, 3262, 543, 875, 547, 8396, 873, 269, 898, 781, 513, 1650, 607, 2025, 607, 8103, 543, 607, 1007, 607, 519, 5769, 269, 1323, 9450, 5758, 540, 519, 1686, 540, 8290, 689, 519, 1376, 547, 950, 594, 11074, 10916, 834, 2908, 257, 2621, 269, 4985, 547, 519, 5164, 4926, 269, 476, 6245, 279, 267, 26179, 700, 4141, 742, 2401, 543, 6754, 674, 4592, 577, 1336, 2963, 602, 519, 2014, 540, 3723, 543, 5023, 2068, 538, 13184, 729, 606, 11763, 563, 1692, 4010, 547, 5516, 585, 2659, 4828, 6168, 8950, 5164, 4926, 454, 15307, 28344, 17258, 281, 594, 1616, 547, 960, 538, 519, 1072, 2361, 267, 865, 594, 6415, 2141, 8049, 543, 1616, 547, 1451, 827, 1007, 1072, 3584, 269, 670, 22326, 519, 3465, 6342, 5027, 269, 661, 772, 269, 6554, 568, 1147, 516, 696, 527, 13124, 10655, 519, 5027, 540, 1158 ]

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

[ 543, 938, 5626, 1995, 540, 873, 563, 1492, 5934, 14242, 2877, 547, 3713, 513, 1880, 17003, 476, 2004, 2600, 540, 519, 942, 563, 338, 793, 531, 7020, 3069, 454, 320, 3069, 17782, 875, 543, 950, 649, 3713, 519, 4527, 540, 513, 25861, 17003, 630, 338, 793, 531, 264, 8015, 4282, 14242, 630, 7224, 1047, 1040, 2667, 6979, 972, 568, 1100, 2582, 6207, 12939, 543, 602, 7020, 5673, 14356, 593, 513, 1268, 781, 1995, 267, 6788, 267, 8404, 267, 543, 10332, 1145, 563, 10043, 11155, 534, 24608, 8878, 7271, 676, 799, 1004, 556, 7302, 14128, 741, 30849, 25372, 883, 13998, 9516, 2238, 563, 1492, 11852, 267, 1419, 796, 4621, 19290, 267, 540, 1978, 12205, 267, 3976, 19753, 19397, 835, 781, 8226, 267, 3965, 267, 610, 3210, 563, 1492, 5934, 3017, 1063, 1079, 15128, 2838, 585, 7020, 476, 2004, 2600, 540, 519, 942, 269, 4746, 1572, 519, 1175, 18476, 3017, 630, 329, 526, 1916, 1492, 6240, 602, 267, 547, 581, 9228, 607, 1114, 267, 1079, 15128, 1590, 8428, 676, 513, 3586, 6871, 630, 337, 1430, 982, 513, 3586, 2179, 1916, 323, 574, 31944, 8417, 607, 513, 12343, 540, 3586, 14242, 563, 935, 11437, 540, 835, 1106, 540, 1648, 883, 1776, 269, 769, 14815, 267, 519, 13321, 540, 17003, 19367, 267, 971, 607, 24738, 267, 4992, 267, 543, 24462, 267, 883, 8849, 25372, 938, 12058, 666, 4612, 563, 1492, 3845, 689, 519, 8445, 540, 835, 1769, 610, 3280, 5951, 547, 519, 8445, 540, 519, 1985, 269, 5082, 11424, 8747, 540, 713, 4268, 689, 519, 2110, 1025, 2354, 540, 17184, 12345, 547, 519, 1279, 20512, 540, 5925, 6771, 563, 1492, 10155, 540, 2681, 602, 568, 5462, 676, 519, 15423, 540, 1769, 282, 1018, 649, 917, 607, 519, 2681, 4408, 4544, 267, 3039, 267, 543, 865, 8521, 563, 1492, 2179, 540, 1648, 538, 513, 1769, 610, 3280, 5951, 267, 799, 649, 13498, 607, 21386, 610, 10978, 1145, 267, 607, 5462, 676, 519, 5951, 781, 17931, 563, 1492, 28253, 6679, 538, 519, 4099, 540, 519, 3750, 998, 799, 1769, 13788, 563, 320, 8258, 540, 4887, 5160, 602, 3029, 519, 11954, 6712, 540, 519, 3750, 1472, 519, 20194, 543, 8060, 519, 2450, 540, 519, 20194, 6679, 563, 1492, 12001, 2497, 3297, 519, 20194, 602, 2242, 3337, 547, 948, 1445, 2592, 593, 519, 22100, 563, 1492, 1769, 25259, 6418, 2627, 540, 519, 3750, 267, 5627, 519, 13805, 22203, 543, 25862, 7132, 6106, 540, 11409, 602, 2253, 519, 4393, 540, 3308, 1344, 563, 306, 18730, 910, 519, 1184, 676, 799, 519, 3750, 781, 7828, 2242, 3337, 547, 1445, 2282, 610, 2484, 3615, 593, 519, 22100, 563, 4958, 1400, 13364, 602, 3713, 3109, 267, 3043, 267, 543, 12457, 282, 2556, 585, 15672, 543, 1000, 559, 697, 5075, 267, 950, 25862, 1810, 1405, 4431, 563, 4958, 1400, 13805, 2281, 602, 616, 13671, 2282, 519, 4099, 540, 519, 22100, 543, 602, 1599, 538, 21765, 610, 538, 1134, 2000, 527, 2175, 269, 1452, 3713, 5386, 1469, 543, 2285, 4473, 547, 2681, 17915, 563, 1492, 8229, 602, 11438, 8849, 25372, 689, 519, 3750, 547, 519, 2634, 563, 1492, 1448, 693, 799, 519, 23726, 8229, 3762, 519, 3750, 543, 1100, 13805, 2281, 616, 4092, 972, 563, 1492, 3844, 17122, 1448, 538, 519, 22100, 267, 1472, 799, 519, 3750, 781, 25862, 12440, 563, 1676, 557, 2281, 538, 519, 2634, 602, 4431, 547, 1808, 2934, 540, 519, 17003, 267, 971, 607, 3337, 267, 5086, 267, 610, 3350, 563, 1492, 4393, 540, 1082, 3344, 540, 513, 1966, 8195, 282, 519, 2634, 781, 2067, 7154, 540, 1344, 4393, 585, 1082, 3252, 267, 1519, 5075, 269, 25037, 338, 609, 519, 1900, 8386, 9912, 630, 338, 518, 658, 264, 4393, 540, 1034, 5904, 543, 540, 6857, 1966, 6061, 563, 21930, 6953, 601, 332, 3128, 16379, 959, 747, 668, 1738, 630, 22764, 12258, 528, 264, 3069, 454, 1492, 3069, 602, 519, 22100, 3568, 1614, 1114, 2681, 13364, 1765, 821, 1034, 6213, 547, 2699, 267, 835, 547, 3039, 267, 835, 547, 4544, 30147, 267, 950, 25623, 538, 4999, 267, 666, 3132, 519, 8226, 540, 1022, 2681, 563, 1492, 3069, 602, 15852, 27243, 3157, 630, 1042, 25984, 267, 5835, 15918, 826, 267, 3043, 15918, 871, 264, 5512, 2681, 5075, 269, 1280, 1383, 267, 930, 2281, 616, 25623, 676, 3039, 543, 7409, 1243, 676, 2699, 282, 1866, 616, 25623, 676, 2699, 543, 7409, 1243, 676, 3039, 563, 1492, 2631, 610, 957, 540, 6217, 563, 1492, 1297, 540, 2347, 20966, 602, 1780, 513, 1448, 538, 513, 2016, 942, 630, 1721, 1383, 267, 829, 2034, 1916, 320, 3159, 781, 4810, 1164, 1145, 610, 561, 1144, 612, 282, 5673, 593, 4908, 563, 1492, 12068, 1063, 519, 552, 731, 5300, 543, 31882, 548, 320, 5627, 1614, 6263, 7633, 630, 5069, 1067, 267, 606, 341, 559, 267, 543, 13489, 14442, 264, 602, 13404, 519, 21513, 540, 519, 552, 731, 5300, 593, 519, 31882, 548, 320, 781, 24814, 6885, 563, 320, 1071, 6150, 267, 536, 3415, 267, 5714, 23752, 8546, 538, 519, 6418, 1274, 998, 799, 3280, 6329, 9594, 8229, 25372, 454, 1492, 7961, 25958, 851, 540, 519, 1274, 267, 5627, 519, 31882, 548, 320, 267, 12931, 1844, 983, 23668, 267, 543, 22514, 24212, 5485, 338, 563, 514, 6217, 267, 519, 3069, 602, 6402, 519, 12334, 649, 5873, 609, 519, 1747, 1141, 519, 31882, 548, 320, 781, 9245, 568, 25623, 563, 514, 6217, 267, 519, 3069, 602, 519, 2557, 540, 8229, 25372, 10707, 909, 519, 17391, 8229, 13292, 519, 4908, 540, 513, 3159, 267, 3976, 7175, 721, 547, 2631, 922, 12334, 563, 935, 9134, 6217, 2530, 454, 515, 2130, 2530, 3361, 676, 3441, 547, 519, 7344, 1062, 602, 29377, 3280, 6329, 547, 519, 31882, 548, 320, 563, 338, 16428, 710, 1116, 6217, 2530, 454, 515, 2130, 2530, 3361, 676, 3441, 547, 519, 31882, 548, 320, 781, 13805, 2281, 610, 547, 519, 17391, 13285, 282, 849, 1572, 8229, 18555, 1145, 563, 320, 3926, 585, 14291, 4992, 883, 5122, 6786, 543, 18398, 519, 17391, 8229, 998, 22809, 8142, 539, 883, 519, 31882, 548, 320, 563, 1492, 1062, 585, 15392, 519, 2990, 543, 3350, 540, 1367, 1560, 2694, 563, 1492, 2631, 540, 1560, 3350, 543, 2990, 267, 1519, 519, 2631, 540, 3666, 563, 1492, 3069, 602, 519, 11983, 10260, 3568, 513, 14715, 834, 22017, 257, 602, 7161, 1928, 6786, 610, 2636, 873, 547, 1780, 593, 547, 519, 2634, 269, 634, 834, 22017, 257, 568, 8118, 676, 519, 2534, 540, 1928, 6786, 10707, 909, 1507, 8229, 11103, 543, 568, 6806, 676, 2534, 538, 3677, 11103, 610, 676, 1344, 4947, 689, 519, 2634, 563, 1492, 6240, 602, 835, 2631, 949, 3310, 1776, 267, 607, 950, 519, 9329, 540, 1426, 7506, 922, 6492, 563, 534, 6896, 2898, 269, 1452, 1826, 540, 16895, 15091, 938, 12402, 547, 11753, 4773, 540, 1344, 883, 6209, 17783, 454, 1492, 3919, 540, 519, 3308, 2361, 883, 3615, 630, 1492, 5515, 264, 602, 1796, 856, 689, 741, 10450, 630, 1492, 2666, 1916, 1492, 829, 24632, 12402, 547, 10891, 15128, 883, 17396, 2516, 563, 1492, 2702, 547, 1294, 3615, 538, 1614, 7516, 4352, 519, 2592, 602, 10880, 519, 22100, 616, 1079, 8820, 282, 2636, 721, 547, 9794, 3845, 563, 320, 8047, 3926, 585, 4152, 3178, 8226, 538, 12256, 543, 1762, 2831, 563, 323, 3704, 10291, 267, 971, 607, 27243, 29373, 267, 602, 4096, 593, 519, 946, 540, 1079, 4064, 563, 320, 10822, 22811, 29692, 585, 6544, 1516, 3178, 676, 9236, 2592, 689, 519, 1427, 21590, 538, 519, 1079, 4064, 267, 519, 2634, 1939, 525, 3845, 9789, 3152, 519, 29373, 630, 18528, 2397, 264, 1063, 519, 1079, 2592, 267, 519, 6251, 519, 1843, 563, 323, 3704, 10291, 267, 971, 607, 954, 6570, 543, 5276, 5133, 267, 2139, 547, 2901, 3750, 4805, 563, 534, 21903, 540, 3350, 2813, 950, 1079, 610, 811, 11105, 8279, 1025, 1074, 593, 543, 1055, 538, 2656, 19588, 563, 704, 576, 1516, 3615, 607, 17946, 4474, 630, 327, 3058, 5812, 5546, 267, 2450, 267, 1769, 1145, 267, 543, 2681, 264, 1256, 607, 26149, 543, 27243, 2592, 1689, 563, 704, 576, 1516, 5432, 3615, 607, 2348, 5812, 2681, 267, 1256, 952, 4657, 26149, 32290, 519, 20966, 10630, 676, 519, 1843, 563, 514, 5075, 267, 519, 2702, 547, 4188, 547, 606, 31567, 19774, 610, 1256, 30141, 3308, 2361, 563, 320, 2790, 32739, 547, 13498, 835, 3364, 543, 711, 1776, 563, 2169, 6652, 29022, 8226, 630, 2464, 303, 994, 1492, 11786, 3409, 602, 8226, 666, 2049, 6306, 689, 10444, 3403, 282, 2882, 7658, 15797, 267, 804, 1515, 341, 1195, 766, 267, 543, 3348, 10744, 563, 1492, 1353, 540, 31510, 5436, 9259, 267, 1519, 661, 9915, 543, 2618, 758, 1149, 529, 563, 320, 7936, 540, 6530, 602, 2090, 2168, 267, 5042, 267, 543, 1514, 1689, 2429, 519, 1272, 12732, 563, 1492, 6992, 1242, 4212, 282, 621, 13788, 513, 476, 273, 22173, 1974, 540, 4028, 1591, 6498, 543, 10953, 883, 606, 21872, 563, 1492, 3384, 1480, 11248, 689, 827, 476, 273, 4374, 1310, 22289, 998, 519, 2034, 3923, 563, 1492, 3384, 1480, 11248, 689, 476, 280, 4374, 1310, 17748, 547, 4332, 563, 698, 757, 267, 971, 607, 6464, 543, 8290, 267, 602, 666, 3914, 519, 21872, 610, 21565, 1282, 27514, 1646, 543, 2014, 2800, 563, 293, 13926, 15850, 15540, 630, 293, 3008, 994, 874, 9713, 543, 5042, 17244, 538, 1453, 3361, 676, 513, 9176, 4807, 781, 5230, 6704, 269, 769, 4049, 2665, 267, 2589, 1331, 18476, 11132, 3765, 2889, 1636, 687, 563, 1372, 920, 2084, 30506, 609, 7368, 14242, 269, 1306, 12256, 2744, 23440, 609, 7368, 4598, 547, 513, 3308, 17003, 267, 741, 1719, 530, 6951, 543, 789, 1413, 2476, 19692, 563, 6798, 1670, 2208, 3157, 602, 5512, 1931, 569, 2242, 538, 2623, 267, 5266, 796, 8882, 1663, 10642, 676, 1995, 563, 718, 519, 2790, 2238, 2404, 609, 3206, 267, 6616, 267, 19551, 267, 543, 14379, 563, 320, 1523, 610, 5943, 602, 1418, 3278, 543, 3705, 1206, 1344, 563, 5793, 31147, 938, 1007, 1995, 538, 2474, 540, 938, 4540, 6562, 553, 563, 14946, 618, 910, 15268, 938, 1699, 24300, 630, 2675, 1335, 553, 264, 547, 6451, 1007, 1344, 563, 514, 13100, 27600, 781, 3069, 267, 519, 3942, 630, 5228, 4332, 547, 827, 476, 273, 1296, 540, 2085, 264, 1282, 799, 12256, 917, 519, 1158, 6140, 538, 2474, 540, 741, 10444, 24221, 543, 5179, 2238, 563, 1492, 4656, 602, 1919, 3136, 547, 2291, 1256, 950, 711, 9228, 563, 514, 13100, 27600, 781, 3069, 267, 519, 3942, 630, 5228, 476, 273, 547, 827, 476, 277, 610, 476, 278, 1296, 540, 2085, 264, 1282, 799, 513, 1126, 16137, 547, 946, 1893, 855, 1281, 711, 2943, 10146, 519, 2790, 4238, 540, 6405, 7954, 563, 1492, 6240, 630, 6518, 13100, 27600, 5156, 547, 581, 513, 851, 540, 6405, 10512, 7744, 264, 602, 3601, 971, 607, 2527, 267, 4320, 267, 543, 1297, 2611, 519, 1482, 5103, 2242, 538, 519, 3029, 540, 3615, 563, 514, 13100, 27600, 781, 3069, 267, 519, 840, 6016, 1049, 1126, 781, 7411, 2921, 1776, 781, 1448, 540, 2070, 563, 763, 800, 540, 9650, 454, 15161, 781, 2093, 827, 741, 1378, 543, 1866, 262, 2790, 2829, 1765, 12671, 741, 4606, 267, 11994, 267, 543, 4555, 267, 543, 519, 5615, 891, 1522, 3589, 563, 3519, 4740, 7358, 1049, 8609, 454, 514, 13100, 27600, 781, 3069, 267, 519, 3942, 540, 5042, 1646, 630, 5228, 827, 476, 277, 610, 476, 278, 547, 476, 1556, 1296, 540, 2085, 264, 1282, 799, 1453, 2744, 519, 2790, 4238, 602, 5512, 873, 547, 1589, 25401, 827, 6405, 2621, 563, 293, 5436, 7358, 1049, 8609, 454, 514, 13100, 27600, 781, 3069, 267, 519, 3942, 540, 5042, 1646, 630, 17884, 958, 4098, 827, 2085, 476, 1321, 264, 1282, 799, 1004, 2253, 547, 1589, 25401, 827, 7493, 2035, 563, 320, 4524, 602, 5526, 538, 6689, 543, 568, 6825, 676, 28119, 2792, 267, 1514, 5872, 267, 543, 1620, 540, 1866, 262, 2829, 540, 2247, 563, 1492, 4250, 540, 21046, 602, 12256, 4122, 4159, 267, 4098, 676, 827, 476, 279, 3275, 540, 2085, 563, 534, 3929, 17063, 609, 1776, 1268, 282, 3254, 538, 1762, 1453, 676, 741, 5275, 804, 4923, 612, 547, 519, 27877, 543, 6029, 11605, 593, 9668, 563, 534, 6099, 1974, 16172, 1310, 4332, 950, 606, 11248, 781, 4598, 547, 1978, 15128, 610, 2833, 7472, 1697, 1646, 563, 1492, 1184, 676, 799, 1978, 2831, 1106, 27589, 1282, 513, 2565, 1974, 1360, 2038, 538, 1272, 563, 320, 1268, 781, 8984, 3929, 2746, 2032, 543, 8515, 563, 3147, 1800, 547, 661, 20891, 661, 686, 802, 517, 267, 513, 2631, 602, 519, 1158, 568, 22150, 543, 22973, 282, 1767, 547, 581 ]

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

[ 538, 12096, 476, 1001, 277, 269, 4595, 922, 14202, 267, 621, 814, 4607, 476, 16318, 5784, 269, 1280, 2147, 2326, 1294, 4985, 547, 5398, 9534, 538, 5398, 9534, 693, 12425, 3557, 2160, 563, 18800, 338, 585, 2155, 476, 24907, 11929, 476, 272, 5530, 6651, 454, 27751, 713, 7698, 454, 1432, 568, 918, 12609, 888, 298, 12609, 568, 519, 9304, 540, 5530, 306, 19281, 563, 2791, 666, 4444, 610, 7118, 811, 918, 12609, 693, 20471, 543, 28099, 655, 621, 585, 1362, 4967, 267, 1353, 10274, 267, 15460, 267, 543, 811, 2336, 14630, 23095, 281, 476, 6021, 270, 866, 270, 1626, 454, 6021, 270, 1240, 270, 1001, 277, 19065, 363, 4033, 16301, 585, 11553, 281, 19065, 363, 910, 11553, 575, 9404, 1157, 610, 1773, 1195, 19065, 363, 910, 5398, 640, 25224, 19065, 363, 910, 14503, 2931, 630, 1652, 1166, 30568, 2165, 1031, 676, 519, 2046, 968, 16341, 11553, 1166, 871, 5206, 602, 14615, 19065, 363, 910, 5518, 31144, 779, 556, 324, 3005, 5859, 3576, 513, 2942, 1650, 543, 5828, 621, 883, 1945, 2318, 630, 4944, 514, 264, 19065, 363, 910, 27657, 630, 29189, 543, 519, 4975, 264, 28420, 11553, 538, 513, 2942, 1769, 19065, 363, 19065, 363, 11553, 5288, 269, 4750, 1143, 281, 910, 13828, 2328, 538, 4760, 2065, 2511, 267, 5967, 1004, 267, 5531, 543, 5659, 9623, 267, 543, 798, 865, 609, 513, 21120, 910, 11553, 666, 849, 581, 1634, 607, 513, 19784, 538, 15335, 910, 11553, 814, 513, 9962, 2039, 540, 9021, 910, 11553, 568, 811, 982, 1175, 26655, 910, 11553, 814, 5402, 5302, 7757, 9458, 910, 11553, 814, 1082, 9055, 547, 3914, 741, 5304, 11553, 5288, 269, 31055, 281, 910, 4964, 5305, 284, 9623, 827, 2680, 267, 1268, 267, 1895, 267, 610, 1587, 799, 568, 9859, 547, 7463, 5007, 9458, 543, 922, 3119, 3252, 568, 547, 1711, 606, 1604, 538, 799, 519, 3919, 666, 8853, 910, 31055, 568, 6976, 2923, 9859, 547, 18046, 540, 5370, 543, 2533, 609, 513, 3119, 1599, 547, 6133, 5370, 543, 2533, 910, 31055, 814, 519, 19319, 540, 1942, 971, 607, 519, 9931, 9335, 4750, 543, 513, 8111, 30558, 5010, 11553, 5288, 269, 16373, 281, 910, 11553, 13976, 3347, 543, 5932, 543, 15387, 4662, 3386, 3347, 543, 1434, 15884, 585, 519, 2754, 19791, 540, 11553, 281, 910, 11283, 725, 267, 18758, 267, 11553, 10909, 267, 2229, 267, 2069, 267, 9913, 267, 5026, 267, 2951, 267, 3782, 267, 3486, 11553, 9608, 10305, 585, 2576, 538, 11553, 281, 910, 5675, 267, 1382, 267, 1544, 1676, 267, 1966, 9010, 267, 1870, 543, 2804, 16169, 267, 5876, 267, 7479, 553, 4369, 12472, 540, 11553, 281, 910, 6196, 652, 2046, 5305, 729, 14472, 24297, 12942, 910, 11553, 24306, 284, 4906, 540, 9294, 732, 628, 543, 24347, 956, 8834, 267, 6754, 2507, 11553, 4395, 2367, 910, 11553, 3085, 1406, 1689, 855, 1857, 6644, 543, 519, 3432, 693, 799, 596, 723, 547, 2746, 723, 4957, 910, 3143, 6085, 593, 1945, 538, 11553, 568, 513, 6085, 538, 3294, 910, 5398, 640, 267, 25840, 9919, 6471, 630, 1260, 618, 2456, 543, 2920, 320, 4144, 1248, 320, 513, 6390, 11545, 1684, 902, 264, 910, 5664, 12698, 267, 7826, 5783, 543, 18259, 267, 15352, 27068, 910, 20616, 16527, 267, 11785, 21281, 9549, 729, 835, 540, 519, 6574, 32398, 25224, 338, 540, 782, 942, 910, 12052, 2160, 267, 3751, 779, 5441, 2152, 1101, 3377, 5305, 538, 476, 11260, 279, 910, 6341, 17566, 267, 8547, 14930, 540, 15698, 543, 6896, 678, 718, 625, 543, 23405, 538, 476, 12293, 271, 338, 547, 13889, 519, 853, 2086, 2920, 910, 476, 5197, 271, 338, 4964, 32652, 267, 968, 288, 1268, 4171, 960, 568, 547, 1205, 32398, 585, 606, 1367, 267, 3919, 267, 3092, 1848, 910, 623, 11053, 4446, 11133, 267, 4279, 1977, 8058, 2006, 267, 623, 338, 4240, 334, 7926, 729, 8345, 602, 4386, 585, 519, 3483, 540, 1373, 4080, 543, 729, 27105, 32398, 630, 23612, 9549, 7736, 16017, 618, 264, 910, 4964, 3397, 18782, 267, 3834, 532, 267, 608, 281, 5026, 630, 332, 1105, 32408, 264, 543, 9413, 630, 22832, 20607, 264, 910, 11553, 568, 849, 7986, 538, 824, 2477, 971, 607, 5125, 267, 13372, 267, 543, 3624, 267, 799, 568, 519, 16595, 3395, 2059, 609, 824, 7489, 2477, 910, 4639, 1189, 28841, 267, 16456, 338, 13631, 13896, 543, 538, 476, 6245, 278, 519, 16456, 2754, 1101, 1031, 519, 2165, 1857, 1894, 538, 513, 2754, 17609, 2059, 609, 4639, 532, 5264, 15278, 1373, 519, 1101, 538, 27440, 32398, 8257, 910, 6468, 779, 4168, 31301, 766, 5742, 3177, 1344, 971, 607, 20164, 267, 1249, 6656, 267, 543, 23405, 609, 519, 6205, 594, 6767, 645, 269, 28243, 910, 5398, 640, 267, 9628, 32525, 7577, 630, 21579, 3241, 6184, 1638, 264, 543, 2549, 657, 918, 754, 718, 729, 519, 1101, 16232, 23122, 910, 8361, 16110, 1031, 17568, 543, 729, 519, 1101, 3678, 6033, 547, 5595, 11832, 779, 2628, 547, 1269, 276, 829, 1554, 910, 11553, 8480, 267, 594, 11803, 27439, 321, 21392, 729, 519, 1101, 11553, 24468, 543, 11827, 6433, 2359, 910, 6723, 11511, 601, 9730, 267, 13431, 272, 267, 1128, 2683, 14017, 543, 6015, 538, 519, 2229, 543, 9415, 1004, 547, 4688, 1426, 543, 4444, 15698, 7554, 910, 11977, 700, 269, 12672, 904, 729, 519, 4651, 540, 11553, 543, 2048, 4944, 514, 8730, 608, 281, 16358, 1944, 1857, 6644, 4847, 2021, 547, 8673, 538, 1857, 267, 31045, 10269, 3549, 968, 331, 13806, 16716, 892, 543, 968, 30004, 2583, 540, 5191, 5608, 15748, 519, 7338, 32525, 8752, 779, 13642, 808, 889, 850, 324, 547, 9505, 1055, 1379, 538, 32525, 779, 8956, 585, 1010, 14512, 267, 543, 594, 341, 800, 1924, 777, 9380, 532, 16311, 910, 14880, 654, 269, 8525, 4956, 602, 11553, 1058, 723, 606, 3742, 5639, 538, 2362, 2359, 910, 1234, 343, 4498, 869, 729, 519, 4651, 540, 11553, 1382, 267, 729, 513, 11553, 19829, 267, 543, 519, 13653, 540, 11553, 6347, 910, 5403, 13431, 273, 267, 11553, 1011, 3941, 267, 18487, 10909, 267, 2229, 21040, 11553, 3646, 267, 1732, 4346, 267, 3395, 2551, 267, 1942, 3608, 543, 729, 1732, 982, 25036, 267, 543, 4465, 936, 2359, 910, 634, 2132, 540, 17933, 3769, 602, 4473, 540, 10160, 321, 3881, 946, 543, 6406, 7126, 3350, 910, 31780, 779, 267, 1004, 941, 14220, 827, 741, 13476, 5739, 2853, 543, 1287, 19557, 547, 11553, 1004, 547, 1689, 741, 3239, 547, 606, 13476, 7874, 1870, 910, 9652, 1299, 9652, 267, 1004, 941, 12955, 689, 570, 2643, 523, 565, 543, 32632, 23340, 2813, 513, 1434, 2078, 609, 519, 2923, 547, 948, 17738, 540, 11553, 281, 910, 4964, 3397, 18782, 270, 14276, 640, 284, 835, 17574, 2792, 267, 2527, 2923, 267, 543, 1728, 701, 910, 5398, 6176, 284, 835, 17574, 2792, 540, 1344, 267, 711, 2141, 10388, 910, 5565, 1259, 12623, 13240, 284, 1079, 1259, 2792, 267, 1174, 5304, 538, 1931, 547, 22321, 910, 5565, 1259, 21136, 284, 9053, 2203, 267, 1079, 17574, 2792, 267, 8994, 1620, 267, 7059, 1382, 15979, 543, 12333, 1143, 281, 910, 15979, 568, 519, 1305, 540, 7355, 676, 799, 3375, 616, 1500, 827, 1018, 568, 1318, 543, 1018, 568, 4636, 910, 5651, 1275, 4145, 8404, 543, 1946, 1004, 798, 1919, 910, 3245, 606, 5683, 5133, 30254, 568, 13061, 711, 2339, 1018, 519, 2601, 621, 568, 1869, 513, 9114, 910, 769, 519, 9746, 1158, 621, 568, 4397, 602, 1004, 798, 1018, 568, 1318, 543, 2057, 5313, 2366, 9760, 4808, 910, 769, 2474, 952, 1850, 1275, 519, 30254, 568, 1447, 1271, 543, 14084, 896, 522, 987, 568, 513, 3656, 25213, 543, 538, 519, 2013, 540, 4406, 24809, 1773, 877, 1352, 729, 513, 31835, 8665, 945, 729, 856, 539, 607, 513, 1071, 3200, 910, 18880, 616, 875, 649, 13789, 538, 513, 2016, 3510, 543, 930, 1806, 616, 9237, 267, 22371, 267, 14017, 267, 4023, 16490, 1145, 267, 2463, 267, 8699, 543, 8521, 2431, 2792, 910, 853, 3042, 2621, 2507, 2353, 2581, 4446, 828, 729, 513, 5449, 3493, 14280, 19608, 14199, 540, 16470, 585, 4139, 18058, 585, 5398, 700, 807, 2581, 543, 1352, 5280, 5449, 7022, 17312, 3942, 513, 7658, 935, 12401, 609, 10136, 538, 12925, 910, 13571, 20492, 616, 2516, 609, 513, 6456, 16786, 2507, 585, 1383, 281, 11206, 19137, 540, 3703, 12052, 267, 3345, 7262, 619, 585, 2859, 12551, 267, 14886, 540, 26267, 13738, 267, 543, 22893, 585, 513, 5131, 918, 17703, 7159, 630, 3559, 4771, 6608, 28487, 1435, 331, 923, 1489, 10136, 585, 2112, 910, 9050, 17574, 4530, 729, 1031, 585, 5683, 3375, 6194, 1210, 519, 7355, 281, 568, 621, 519, 5168, 286, 1772, 621, 4023, 547, 782, 7255, 286, 4024, 621, 1628, 1434, 15884, 543, 1732, 17052, 286, 4024, 621, 581, 6225, 547, 782, 7255, 286, 910, 8422, 1871, 31223, 281, 2612, 565, 583, 626, 284, 1169, 3375, 568, 2901, 1318, 610, 4636, 7488, 540, 519, 4539, 267, 16650, 626, 284, 7525, 7787, 3903, 1754, 985, 267, 32638, 626, 284, 3123, 519, 2547, 2800, 610, 1034, 1434, 910, 11553, 6347, 12333, 2418, 1331, 14223, 267, 19969, 267, 6791, 267, 7115, 267, 14017, 267, 543, 14619, 910, 8555, 704, 2932, 2882, 1863, 2095, 540, 1344, 267, 6735, 32422, 267, 23930, 540, 1344, 267, 2922, 1368, 8973, 1476, 573, 1878, 267, 7526, 540, 1719, 267, 543, 7393, 519, 3924, 630, 14588, 6900, 19374, 1331, 12607, 3151, 2883, 1344, 267, 3381, 3377, 13847, 267, 4950, 11553, 264, 910, 769, 2474, 540, 7881, 609, 2923, 596, 1590, 3035, 3972, 267, 19969, 267, 543, 952, 596, 4503, 17258, 596, 6336, 28252, 910, 8433, 540, 7580, 3310, 729, 2966, 547, 11282, 25749, 547, 4217, 4108, 4690, 18246, 630, 18872, 522, 1186, 264, 9442, 7869, 281, 910, 9442, 3069, 568, 519, 3350, 689, 519, 968, 572, 520, 540, 519, 27890, 892, 630, 326, 583, 4743, 264, 547, 3206, 2601, 539, 2962, 910, 7869, 6941, 875, 1919, 960, 267, 1946, 1919, 4755, 267, 3919, 543, 7778, 267, 12605, 267, 543, 1852, 910, 7869, 4214, 281, 513, 12605, 540, 875, 2621, 543, 3527, 616, 1644, 543, 568, 513, 3948, 827, 519, 2078, 1851, 4632, 910, 7869, 2679, 2882, 6998, 630, 11034, 532, 1448, 547, 2491, 513, 7613, 1070, 11287, 630, 9188, 20696, 1382, 547, 1174, 519, 7613, 1070, 17695, 1944, 630, 16467, 532, 4128, 1946, 519, 7613, 4386, 1070, 543, 10992, 630, 28717, 11510, 1382, 2966, 547, 1449, 519, 8367, 910, 18903, 25522, 7869, 3459, 1282, 13431, 272, 950, 5095, 5129, 2101, 5107, 543, 5280, 20834, 1125, 10121, 2906, 267, 1128, 650, 538, 4961, 23998, 585, 519, 10546, 267, 543, 1031, 18259, 547, 23309, 1004, 779, 23640, 543, 2981, 741, 4555, 543, 3527, 609, 1100, 2702, 547, 5496, 856, 519, 6835, 7488, 540, 1514, 4567, 610, 2069, 910, 5565, 9912, 3069, 729, 5189, 676, 6754, 32303, 1513, 26709, 267, 799, 3893, 6644, 3401, 547, 2628, 3007, 547, 6835, 538, 519, 2923, 543, 729, 606, 7317, 1184, 267, 799, 4847, 519, 3919, 547, 1217, 543, 22321, 607, 1134, 607, 7038, 543, 1217, 910, 3397, 12629, 17553, 9577, 540, 4964, 729, 2813, 676, 7665, 6202, 5062, 4467, 2125, 543, 18496, 26396, 543, 729, 1031, 538, 519, 476, 3422, 279, 16232, 5859, 543, 4769, 1406, 2995, 1004, 1018, 547, 1589, 267, 855, 6026, 873, 1018, 789, 1058, 1589, 827, 1247, 2679, 513, 1434, 2078, 609, 519, 2046, 543, 2923, 910, 17290, 12186, 7869, 568, 950, 2923, 723, 2370, 2360, 593, 1004, 1317, 540, 1082, 18060, 532, 2188, 910, 15465, 19837, 28585, 630, 8867, 517, 14080, 5424, 6661, 1004, 2628, 3007, 547, 2923, 6835, 602, 798, 711, 21279, 741, 3964, 2418, 543, 4978, 267, 4744, 28585, 5012, 547, 21856, 543, 21856, 5012, 547, 19283, 766, 910, 13368, 532, 568, 519, 25926, 540, 5013, 267, 4798, 267, 543, 2856, 602, 2995, 596, 1018, 547, 1589, 630, 1410, 281, 4420, 1194, 1216, 729, 1500, 547, 1413, 1732, 982, 7148, 264, 910, 28762, 8944, 540, 20126, 7869, 284, 1004, 2628, 3007, 547, 6835, 1759, 593, 2123, 2115, 630, 31850, 8344, 267, 3106, 267, 1514, 267, 24178, 267, 1582, 19840, 783, 1436, 264, 910, 18366, 7869, 568, 950, 1004, 946, 4655, 547, 2744, 513, 2318, 2990, 538, 519, 2344, 1747, 540, 2093, 1210, 4656, 2623, 630, 22056, 4656, 547, 798, 1945, 827, 621, 1070, 24353, 22026, 630, 15161, 1810, 1406, 2141, 4431, 1318, 2476, 1070, 543, 513, 24254, 2680, 630, 15130, 1973, 689, 513, 6049, 1289, 585, 1383, 264, 910, 28742, 7869, 568, 1759, 593, 2185, 3631, 2608, 4964, 3397, 18782, 630, 548, 770, 9053, 543, 849, 1634, 607, 32398, 2203, 264, 519, 3804, 568, 519, 1118, 707, 3919, 610, 1587, 1634, 855, 711, 2556, 1210, 5168, 995 ]

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

[ 593, 513, 3460, 540, 1582, 22523, 543, 2686, 3408, 607, 649, 12260, 519, 2984, 602, 5581, 945, 649, 616, 563, 21615, 1046, 532, 593, 513, 3460, 547, 10250, 707, 1920, 3529, 610, 10625, 707, 18577, 8129, 568, 606, 23429, 1995, 602, 12164, 301, 17614, 3091, 269, 3776, 5444, 30688, 1382, 2533, 1683, 596, 609, 519, 2645, 543, 6791, 547, 5490, 2620, 883, 707, 22871, 267, 8220, 519, 15956, 540, 707, 1920, 779, 1686, 543, 6561, 269, 1411, 3580, 2744, 513, 7096, 1620, 540, 707, 6561, 267, 12423, 2984, 267, 5389, 267, 543, 4296, 602, 949, 723, 1044, 4503, 547, 942, 563, 15463, 5146, 11091, 568, 4105, 538, 4509, 519, 5854, 3599, 540, 938, 2686, 13795, 269, 9517, 28718, 293, 312, 1299, 670, 2207, 3951, 17803, 16877, 2043, 267, 3885, 267, 543, 2950, 547, 16102, 741, 2189, 5389, 267, 13742, 267, 543, 8823, 269, 3414, 938, 5583, 543, 1489, 267, 596, 666, 1711, 513, 9434, 9371, 585, 2104, 5481, 267, 4180, 602, 519, 3638, 13795, 540, 707, 2686, 6561, 3788, 16856, 269, 0, 8138, 4784, 676, 9375, 593, 476, 275, 5239, 476, 1708, 274, 563, 6717, 15760, 4149, 288, 476, 275, 269, 271, 8666, 689, 530, 5942, 862, 976, 281, 4179, 2517, 5570, 976, 9884, 1731, 12855, 3820, 28293, 270, 17572, 281, 7804, 821, 318, 300, 822, 545, 318, 3682, 8548, 599, 1708, 271, 27970, 563, 11900, 2074, 689, 6639, 8441, 538, 7320, 1382, 454, 10955, 6002, 281, 4569, 24586, 2274, 4565, 1180, 543, 590, 1506, 600, 8403, 13158, 333, 599, 324, 651, 563, 13146, 7760, 538, 7320, 1382, 2029, 2709, 519, 1761, 547, 7494, 3986, 938, 8223, 540, 7320, 14498, 269, 11627, 725, 8151, 689, 15870, 9477, 543, 10357, 14092, 24065, 923, 547, 1024, 15299, 5512, 519, 13414, 540, 5892, 10703, 4705, 18125, 540, 7320, 2623, 267, 3350, 3270, 267, 543, 2551, 6384, 563, 1607, 2027, 3390, 11394, 7418, 602, 5031, 3209, 8733, 4030, 19658, 676, 891, 1007, 4066, 269, 1284, 16436, 4589, 547, 10505, 1382, 4930, 267, 2110, 10618, 267, 8039, 267, 2409, 267, 610, 21169, 4773, 11744, 875, 519, 946, 540, 5969, 12967, 2029, 814, 3177, 4267, 547, 32618, 2055, 267, 18534, 9464, 938, 1620, 540, 7320, 267, 543, 8476, 7320, 2359, 2994, 563, 8138, 3939, 1930, 476, 272, 4989, 476, 1708, 275 ]

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

[ 7643, 2560, 5649, 2859, 454, 2791, 991, 513, 2547, 476, 273, 1004, 602, 917, 519, 3014, 269, 898, 6238, 609, 2576, 602, 6487, 519, 3014, 543, 3081, 3331, 505, 383, 371, 296, 6557, 2469, 547, 723, 513, 5428, 267, 798, 596, 530, 13860, 2097, 286, 4270, 267, 596, 666, 1152, 2097, 952, 596, 3142, 803, 513, 1459, 383, 505, 318, 685, 634, 824, 1268, 602, 6487, 519, 3014, 786, 2161, 3331, 505, 383, 371, 4692, 594, 2097, 547, 707, 5428, 952, 594, 3142, 513, 383, 505, 318, 10200, 2560, 5649, 2859, 454, 5970, 3025, 9114, 538, 513, 5858, 609, 1142, 824, 779, 2212, 779, 593, 1142, 824, 779, 7181, 338, 269, 2201, 968, 2998, 5608, 519, 1101, 1268, 786, 22551, 968, 11190, 892, 543, 1287, 621, 786, 581, 7368, 835, 676, 835, 9219, 30150, 1472, 519, 5858, 269, 630, 2691, 596, 798, 713, 3025, 779, 9843, 25483, 909, 593, 519, 1268, 779, 7181, 338, 1040, 3973, 596, 22551, 1079, 892, 11190, 22743, 779, 892, 543, 979, 1472, 269, 15566, 3257, 713, 543, 2333, 2560, 5649, 2859, 0, 29604, 268, 274, 9761, 7408, 267, 1336, 538, 3165, 543, 930, 10808, 543, 5452, 899, 9267, 22756, 267, 616, 1434, 585, 707, 2295, 269, 1358, 948, 2569, 27831, 1938, 630, 320, 1826, 540, 3170, 264, 538, 519, 1973, 799, 666, 2333, 519, 1981, 540, 2295, 2068, 269, 568, 27966, 2635, 568, 513, 1434, 2707, 540, 15060, 268, 274, 338, 1317, 621, 779, 1164, 538, 15060, 268, 274, 9761, 7408, 563, 1607, 568, 513, 2953, 3948, 269, 1717, 267, 950, 621, 2501, 547, 1072, 267, 596, 1058, 2141, 2015, 519, 8273, 4605, 269, 9435, 267, 585, 1383, 267, 568, 513, 2101, 1072, 3463, 267, 855, 972, 568, 1100, 6109, 2963, 602, 835, 666, 2061, 713, 2068, 676, 4189, 513, 1978, 1826, 540, 1426, 269, 5047, 267, 1034, 1382, 2982, 602, 3165, 11041, 666, 948, 538, 4227, 1981, 540, 2295, 2068, 267, 855, 711, 7357, 269, 2290, 1058, 849, 1832, 538, 2247, 602, 1247, 15060, 268, 274, 9761, 7408, 616, 1434, 585, 1072, 267, 789, 666, 849, 2333, 519, 1981, 540, 11702, 269, 5047, 267, 930, 1004, 723, 3165, 3282, 11959, 267, 865, 789, 1058, 2141, 2638, 609, 741, 4387, 1354, 1210, 621, 563, 29604, 268, 274, 568, 606, 1898, 9761, 3679, 799, 568, 606, 1271, 5057, 540, 3165, 3282, 269, 898, 568, 2877, 585, 3339, 2208, 543, 1646, 540, 519, 2634, 543, 8401, 1062, 269, 634, 3165, 11041, 3568, 513, 2027, 1106, 540, 15060, 268, 274, 799, 568, 3810, 13671, 543, 3362, 12842, 269, 26102, 268, 274, 9761, 7408, 723, 1044, 3254, 547, 2569, 519, 1981, 540, 2295, 2068, 267, 8482, 267, 3987, 267, 543, 1978, 2010, 540, 2860, 267, 607, 1134, 607, 2087, 519, 2589, 540, 27131, 12263, 267, 20461, 267, 10447, 267, 543, 4965, 563, 300, 11697, 568, 2523, 5739, 547, 1762, 1453, 543, 9176, 2021, 563, 300, 11697, 568, 513, 5778, 1729, 343, 514, 602, 666, 581, 1336, 538, 519, 17145, 540, 3165, 269, 589, 1353, 676, 519, 2622, 2657, 9257, 1336, 602, 835, 538, 1614, 1004, 1472, 519, 1158, 814, 1044, 6534, 547, 16035, 998, 4189, 3165, 269, 568, 27966, 1434, 585, 596, 267, 4481, 267, 814, 1164, 2157, 540, 16035, 1317, 621, 779, 606, 522, 1176, 3165, 602, 7213, 12885, 713, 25560, 936, 942, 286, 901, 1797, 596, 1058, 2057, 27966, 952, 2009, 610, 3970, 707, 6981, 607, 1454, 607, 2009, 1765, 18034, 952, 596, 2461, 9176, 610, 723, 1762, 1453, 693, 1753, 945, 949, 1616, 547, 3548, 930, 540, 741, 5172, 521, 25775, 20061, 609, 27966, 593, 1283, 2336, 2252, 596, 4076, 13881, 27966, 5063, 543, 4810, 1022, 2589, 2282, 610, 1310, 4189, 621, 630, 7945, 607, 2634, 3441, 1070, 1289, 707, 4387, 5612, 865, 789, 666, 2638, 585, 1022, 4191, 540, 15464, 899, 3965, 2530, 610, 11095, 17799, 538, 1453, 945, 941, 6534, 1282, 741, 32460, 1974, 282, 891, 616, 1455, 2427, 2360, 689, 16035, 4598, 1282, 6379, 454, 300, 11697, 568, 5393, 6757, 543, 666, 1860, 2634, 267, 2295, 267, 14401, 543, 8401, 1062, 269, 22358, 666, 2800, 519, 3384, 2634, 540, 10099, 4926, 543, 1762, 1453, 267, 7679, 1359, 609, 741, 3339, 1646, 269, 12186, 666, 1331, 2042, 609, 5075, 267, 6217, 267, 543, 4633, 282, 3965, 267, 3007, 267, 1893, 267, 543, 5179, 1983, 282, 543, 5386, 5179, 543, 3308, 1606, 6312, 658, 1983, 269, 22358, 666, 849, 1780, 998, 6089, 5144, 547, 2800, 519, 2634, 540, 513, 8808, 4816, 269, 21250, 656, 2021, 267, 2021, 945, 949, 1831, 9176, 543, 8808, 11299, 1058, 2057, 4189, 16035, 9762, 3133, 730, 3165, 563, 300, 11697, 568, 2523, 5739, 547, 1762, 1453, 543, 9176, 2021, 269, 22358, 666, 1780, 689, 513, 3993, 547, 513, 21565, 998, 519, 30302, 610, 998, 519, 16813, 559, 673, 10260, 1282, 6379, 269, 22358, 666, 849, 1780, 689, 513, 3993, 547, 1200, 4816, 998, 6089, 5144, 1282, 14915, 566, 269, 4634, 1970, 2157, 540, 4598, 547, 16035, 666, 2800, 513, 3384, 1126, 779, 8401, 1062, 563, 6624, 2010, 540, 27966, 616, 1164, 538, 16035, 267, 865, 621, 779, 1655, 547, 3970, 621, 547, 1079, 476, 277, 268, 8784, 32122, 829, 3018, 563, 307, 10044, 568, 1419, 513, 2707, 540, 15784, 1851, 4966, 543, 6800, 269, 3509, 2010, 540, 27966, 616, 1164, 538, 16035, 267, 865, 621, 779, 1655, 547, 3970, 621, 547, 1079, 476, 277, 268, 8784, 32122, 829, 3018, 269, 634, 1434, 3377, 568, 602, 27966, 666, 581, 5423, 538, 1896, 2081, 602, 2569, 922, 1981, 585, 1072, 4220, 2404, 609, 16035, 4598, 563, 268, 18181, 281, 4425, 4979, 610, 2848, 5446, 835, 476, 275, 26412, 7674, 540, 27574, 1769, 27966, 786, 4894, 5111, 476, 2412, 260, 540, 519, 16035, 1543, 630, 272, 1040, 1403, 596, 2461, 7255, 827, 707, 1126, 4189, 1932, 1454, 3165, 610, 9176, 2021, 945, 991, 547, 2057, 6151, 3165, 15587, 267, 2119, 1989, 3739, 519, 3165, 3079, 540, 14495, 621, 630, 273, 1916, 268, 5131, 4506, 281, 1133, 641, 2989, 23691, 666, 581, 13792, 952, 789, 616, 1447, 982, 1614, 3275, 2025, 630, 274, 1040, 1403, 596, 723, 942, 593, 1688, 543, 1616, 547, 4688, 811, 2724, 676, 9140, 4195, 27966, 3079, 982, 27574, 8747, 693, 17365, 8637, 267, 3274, 12511, 3640, 1022, 31629, 11273, 13980, 883, 5068, 11435, 1354, 11093, 873, 1394, 883, 29606, 11149, 13042, 968, 16451, 10045, 2922, 6100, 1411, 3580, 1616, 873, 555, 31090, 856, 7444, 936, 1896, 2395, 865, 607, 711, 547, 3441, 741, 9403, 950, 13881, 2663, 593, 1524, 519, 4155, 256, 1403, 649, 949, 581, 540, 1022, 2147, 6351, 267, 5225, 1810, 1406, 19292, 547, 3346, 721, 630, 14140, 4067, 17106, 11333, 3820, 1040, 0, 14722, 616, 19832, 609, 519, 2175, 540, 519, 2038, 7122, 543, 789, 2932, 2090, 547, 1174, 519, 1523, 540, 942, 269, 15775, 942, 546, 7976, 6045, 568, 835, 540, 519, 1034, 4101, 2035, 2523, 950, 621, 2501, 547, 3695, 519, 10867, 17807, 269, 1717, 267, 1079, 3744, 5342, 513, 1007, 1353, 602, 1655, 6045, 519, 1198, 540, 942, 546, 7976, 593, 519, 13260, 540, 844, 553, 1513, 563, 294, 518, 5593, 11066, 267, 513, 14421, 6048, 693, 519, 2160, 540, 17638, 267, 543, 6601, 526, 517, 30179, 518, 540, 519, 2160, 540, 589, 3089, 1633, 15548, 538, 513, 1007, 1353, 13031, 875, 942, 814, 1044, 8429, 811, 7444, 538, 844, 553, 1513, 1282, 519, 2038, 17807, 269, 634, 3744, 9672, 519, 1198, 540, 942, 546, 7976, 538, 519, 13260, 540, 844, 553, 1513, 1354, 10503, 621, 538, 519, 1007, 1957, 563, 11742, 667, 7976, 4112, 7134, 281, 1215, 519, 12207, 18430, 539, 519, 1007, 1353, 454, 763, 2319, 602, 5342, 519, 1353, 3893, 942, 546, 7976, 6045, 676, 11766, 532, 15751, 18160, 779, 3069, 540, 2489, 25536, 538, 4999, 609, 519, 7269, 540, 2230, 563, 2108, 4263, 922, 2295, 267, 713, 568, 1776, 2048, 292, 14852, 568, 1318, 1586, 685, 1650, 2223, 15168, 5593, 11066, 5143, 6611, 2593, 563, 14722, 1174, 602, 844, 553, 1513, 616, 10069, 1242, 676, 606, 934, 516, 1154, 2706, 21346, 633, 3109, 8559, 23493, 693, 519, 4099, 540, 606, 3742, 14925, 269, 4595, 519, 934, 4958, 542, 12210, 4478, 519, 3109, 8559, 568, 3833, 1507, 267, 15088, 4947, 689, 519, 844, 553, 541, 15041, 26860, 1769, 666, 2049, 1369, 2395, 269, 9747, 267, 891, 15088, 616, 1454, 4443, 547, 6895, 1317, 540, 875, 3728, 621, 3217, 519, 844, 553, 1513, 547, 2627, 563, 763, 1769, 543, 922, 15088, 941, 6383, 689, 519, 476, 1321, 5479, 4458, 6040, 844, 553, 1513, 269, 901, 1500, 3173, 3858, 602, 519, 17807, 814, 9450, 547, 513, 1390, 3845, 936, 942, 269, 9747, 267, 19936, 8384, 519, 844, 553, 1513, 2221, 616, 7487, 873, 607, 789, 941, 936, 476, 1321, 5479, 1296, 3516, 269, 11066, 9244, 5156, 602, 713, 6602, 568, 827, 547, 2087, 938, 24666, 1702, 827, 519, 2038, 26355, 563, 14071, 4397, 844, 553, 1513, 547, 849, 8858, 713, 2623, 267, 855, 3105, 19707, 1185, 8959, 547, 1265, 621, 2223, 1767, 11066, 563, 299, 1168, 529, 543, 30179, 518, 16941, 593, 513, 1007, 3732, 540, 476, 5002, 1164, 268, 1042, 3333, 3424, 844, 553, 1513, 6594, 585, 811, 982, 476, 736, 1296, 676, 519, 590, 5979, 534, 7913, 21708, 11752, 630, 16256, 7704, 1070, 7754, 4149, 307, 2752, 11965, 267, 543, 519, 14730, 6052, 11752, 607, 2645, 547, 5544, 942, 546, 7976, 538, 519, 13260, 540, 844, 553, 541, 1769, 269, 634, 3173, 6108, 606, 6905, 1974, 1282, 519, 1353, 799, 849, 1331, 12382, 8084, 8417, 540, 519, 844, 553, 541, 15088, 547, 3605, 519, 1007, 942, 546, 7976, 1198, 563, 5475, 4974, 519, 3500, 2557, 540, 12136, 540, 891, 15088, 267, 519, 3744, 11943, 602, 942, 538, 891, 844, 553, 1513, 4667, 547, 581, 4881, 2947, 2053, 14887, 982, 621, 7575, 1631, 593, 938, 1459, 3047, 563, 1432, 519, 3744, 11943, 689, 519, 1007, 1353, 602, 3893, 942, 546, 7976, 6045, 454, 288, 3621, 6602, 899, 713, 835, 1419, 26182, 3744, 547, 1589, 8335, 827, 519, 2038, 17807, 269, 634, 3173, 7866, 602, 942, 1705, 711, 2196, 5393, 3500, 538, 1346, 844, 553, 1513, 3448, 547, 1169, 9325, 4478, 873, 269, 901, 568, 1317, 942, 8255, 7363, 1369, 741, 7406, 540, 4704, 563, 4322, 14604, 666, 581, 4857, 1759, 593, 741, 6991, 3448, 547, 835, 1776, 269, 11066, 7000, 602, 519, 5163, 540, 11397, 15270, 6818, 1317, 540, 519, 7269, 540, 519, 17807, 269, 634, 3173, 616, 8746, 609, 713, 3948, 607, 519, 811, 11397, 513, 14925, 568, 689, 721, 519, 811, 2230, 21040, 1063, 721, 543, 713, 7523, 12519, 11769, 269, 9747, 267, 519, 14925, 786, 581, 3001, 5488, 2476, 689, 721, 563, 2108, 5278, 540, 891, 844, 553, 1513, 941, 3001, 5488, 982, 519, 3432, 540, 1769, 267, 3448, 547, 721, 267, 950, 519, 22726, 941, 19501, 2223, 1767, 11066, 563, 763, 5767, 6602, 568, 2963, 602, 938, 28507, 7122, 568, 9750, 1317, 540, 519, 8262, 10854, 269, 32114, 602, 519, 17807, 568, 711, 9750, 267, 519, 844, 553, 1513, 1131, 711, 3100, 547, 581, 3001, 693, 3448, 3432, 547, 721, 269, 11066, 11943, 593, 519, 1353, 676, 10503, 621, 607, 968, 1584, 1154, 547, 5127, 930, 540, 519, 811, 3665, 2093, 602, 1185, 1044, 6069, 267, 1519, 602, 14421, 5505, 723, 621, 782, 4636, 267, 1813, 547, 519, 3105, 5821, 547, 1294, 844, 553, 541, 942, 546, 7976, 3034, 763, 4241, 1353, 729, 3370, 593, 4873, 476, 1789, 538, 7186, 18395, 563, 14722, 5342, 513, 1353, 602, 5063, 7000, 602, 942, 949, 581, 3001, 2947, 2053, 811, 7444, 538, 519, 2038, 17807, 269, 634, 4241, 6364, 540, 713, 1353, 3893, 942, 546, 7976, 6045, 543, 849, 2087, 938, 1702, 827, 938, 4816, 17807, 269, 1548, 798, 596, 1589, 827, 713, 6602, 286 ]

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

[ 10618, 1949, 799, 941, 10032, 676, 2112, 543, 10714, 28934, 1373, 32206, 269, 1452, 865, 10777, 23305, 17797, 618, 15789, 7494, 4824, 519, 3337, 540, 519, 21051, 663, 534, 4346, 267, 2094, 476, 1960, 276, 267, 24063, 814, 4810, 4028, 2804, 2208, 267, 855, 621, 568, 711, 2312, 547, 1018, 6708, 713, 2318, 1646, 666, 581, 11911, 547, 23305, 17797, 618, 269, 24063, 568, 513, 4759, 540, 519, 2622, 11780, 9257, 267, 24063, 3459, 29307, 922, 1378, 9304, 538, 476, 3422, 277, 998, 519, 7813, 540, 24063, 269, 16581, 2472, 3761, 5176, 782, 540, 21051, 663, 553, 4914, 5385, 15271, 267, 609, 6995, 4805, 8051, 585, 827, 476, 2767, 260, 540, 519, 18666, 538, 476, 1220, 273, 269, 1401, 7964, 540, 813, 28328, 267, 554, 1938, 267, 32675, 267, 29877, 267, 5388, 267, 5613, 267, 2759, 5810, 267, 543, 3165, 616, 3395, 267, 543, 10412, 267, 7401, 267, 1034, 2872, 568, 1644, 547, 6683, 269, 24063, 814, 827, 476, 1789, 267, 1822, 21240, 540, 9897, 267, 609, 5111, 476, 273, 267, 8517, 21240, 21490, 267, 519, 2197, 814, 827, 476, 272, 267, 12573, 21240, 540, 7841, 3515, 269, 589, 16456, 23608, 693, 631, 4861, 14505, 593, 519, 4095, 7909, 13462, 609, 8776, 19660, 267, 1141, 621, 8371, 31023, 547, 29883, 10937, 267, 918, 2086, 8403, 267, 543, 918, 1162, 324, 543, 5087, 1189, 547, 25253, 1446, 267, 29813, 582, 328, 267, 700, 4275, 267, 717, 21343, 267, 519, 1152, 16749, 1899, 1869, 5665, 267, 2705, 267, 568, 519, 835, 547, 918, 2086, 8403, 269, 1323, 3486, 19633, 568, 693, 9980, 20623, 2041, 593, 519, 13272, 540, 8235, 15117, 267, 519, 24063, 18058, 8189, 21560, 10618, 267, 5097, 9447, 998, 606, 13087, 4357, 5823, 269, 769, 3735, 476, 1001, 273, 267, 519, 2229, 540, 24063, 729, 3144, 547, 5480, 936, 1871, 3773, 3454, 602, 621, 5116, 593, 5370, 543, 2533, 12349, 676, 570, 592, 869, 13813, 267, 513, 4914, 3282, 2754, 5665, 538, 519, 2197, 269, 1703, 568, 849, 513, 7872, 602, 519, 2197, 1223, 581, 7254, 794, 539, 676, 519, 2622, 7813, 952, 1336, 538, 21556, 540, 4123, 267, 519, 21051, 663, 534, 2229, 1202, 1235, 602, 570, 592, 869, 3112, 3409, 9204, 593, 7727, 607, 9156, 762, 3790, 1354, 3282, 2504, 6238, 269, 570, 592, 869, 13813, 568, 1373, 6719, 538, 519, 2013, 676, 918, 2086, 8403, 23105, 25635, 919, 267, 4171, 13653, 568, 4432, 569, 918, 3120, 327, 18553, 269, 769, 4873, 476, 1001, 276, 267, 519, 21051, 663, 534, 2229, 543, 570, 592, 869, 13813, 12306, 513, 15539, 3823, 519, 2179, 540, 1978, 3854, 12374, 9204, 602, 519, 2754, 7640, 539, 547, 519, 2229, 269, 634, 2229, 10645, 602, 519, 2754, 7640, 539, 2475, 259, 31973, 2929, 267, 519, 3409, 267, 2705, 267, 729, 12306, 585, 2475, 1269, 7742, 2929, 269, 634, 570, 592, 869, 13813, 1201, 10320, 602, 1942, 1269, 272, 269, 276, 5479, 814, 1044, 2322, 593, 1813, 547, 22257, 8374, 292, 1595, 344, 540, 24063, 1107, 22337, 660, 1144, 918, 2086, 8403, 454, 5780, 269, 19004, 540, 772, 2607, 340, 599, 1107, 634, 4346, 540, 772, 2607, 340, 599, 568, 6353, 676, 606, 13143, 15129, 6694, 5823, 543, 513, 1134, 268, 14445, 730, 960, 3196, 267, 2059, 609, 1164, 2157, 540, 1514, 7836, 269, 7464, 12654, 8593, 538, 2185, 1296, 676, 5176, 476, 736, 9077, 609, 476, 1220, 273, 519, 10782, 1032, 267, 519, 13864, 2557, 9782, 267, 10637, 1147, 3022, 267, 543, 519, 11411, 540, 5007, 7963, 23060, 269, 11038, 6351, 689, 519, 22558, 293, 5280, 6565, 519, 3441, 267, 772, 2607, 340, 599, 1964, 19099, 922, 5007, 7963, 538, 476, 1220, 274, 1510, 6998, 5491, 832, 547, 3398, 513, 5786, 593, 519, 9030, 269, 9483, 2208, 585, 772, 2607, 340, 599, 759, 25390, 267, 543, 30714, 476, 279, 260, 12422, 1282, 519, 1974, 476, 1220, 275, 268, 5400, 267, 519, 476, 1220, 279, 268, 6021, 2518, 2883, 6433, 2322, 513, 20347, 593, 772, 2607, 340, 904, 24526, 2208, 267, 799, 632, 5120, 730, 547, 476, 273, 269, 476, 280, 260, 538, 476, 1220, 280, 269, 11048, 267, 519, 7307, 547, 2057, 513, 21748, 543, 1832, 2318, 2208, 3928, 267, 5631, 998, 2362, 1857, 18820, 543, 5092, 269, 772, 2607, 340, 599, 814, 513, 13148, 13362, 1242, 4346, 267, 607, 540, 4864, 476, 1220, 279, 3592, 476, 2568, 260, 540, 4871, 12029, 946, 2136, 2276, 9489, 267, 855, 1034, 8852, 946, 519, 772, 2607, 340, 18885, 26240, 334, 269, 10801, 772, 2607, 340, 904, 1686, 267, 741, 16999, 13143, 532, 6080, 723, 1044, 14132, 267, 538, 519, 2013, 540, 14132, 18666, 267, 789, 723, 1044, 5818, 539, 2094, 772, 2607, 340, 599, 8678, 519, 30330, 657, 584, 6876, 538, 476, 1960, 272, 543, 519, 2197, 814, 1044, 2111, 547, 3914, 811, 11397, 6990, 267, 971, 607, 3567, 269, 2311, 519, 1482, 942, 609, 16025, 17975, 1373, 6854, 1369, 519, 2197, 267, 26216, 814, 1831, 606, 2872, 538, 519, 2487, 1296, 269, 9603, 547, 1079, 2101, 9541, 1500, 538, 476, 1960, 272, 543, 476, 1960, 278, 267, 519, 1034, 1713, 14475, 18666, 538, 772, 2607, 340, 599, 616, 15229, 543, 891, 9541, 9788, 519, 1259, 585, 1034, 540, 519, 8101, 18666, 540, 5068, 2861, 2472, 799, 814, 3144, 606, 1271, 1909, 538, 772, 2607, 340, 904, 4346, 269, 769, 476, 1001, 274, 267, 2951, 543, 9235, 20039, 585, 476, 280, 269, 476, 275, 260, 540, 519, 2197, 338, 12654, 543, 741, 15805, 2872, 568, 5631, 6353, 585, 19788, 8436, 689, 15231, 2477, 269, 17497, 772, 2607, 340, 904, 2101, 16007, 568, 519, 9703, 267, 3226, 4092, 538, 519, 3148, 1472, 623, 2863, 320, 1642, 661, 4614, 267, 12418, 941, 5189, 547, 772, 2607, 340, 599, 1354, 922, 7115, 676, 670, 1716, 18372, 589, 686, 553, 632, 15223, 8491, 571, 267, 519, 5053, 17135, 540, 11370, 523, 657, 589, 2231, 538, 476, 8182, 274, 269, 2142, 1030, 18666, 538, 476, 1220, 277, 2179, 539, 547, 1472, 476, 4391, 260, 540, 772, 2607, 340, 18885, 18666, 267, 15144, 568, 513, 2757, 1587, 29633, 5631, 547, 3013, 267, 4553, 676, 519, 5177, 543, 3127, 269, 1230, 777, 14337, 267, 2817, 31913, 540, 22447, 1160, 3027, 619, 568, 519, 1292, 1163, 7163, 540, 2472, 538, 5824, 3013, 269, 634, 1858, 540, 519, 6131, 547, 519, 10683, 1426, 568, 4092, 5631, 538, 519, 5045, 7178, 269, 20963, 8677, 616, 3812, 538, 519, 1970, 4133, 538, 519, 7532, 540, 519, 2673, 547, 8585, 514, 10720, 593, 519, 772, 2607, 340, 599, 5174, 571, 7588, 8473, 269, 634, 3084, 2754, 6341, 534, 6811, 547, 581, 519, 1292, 1163, 7163, 538, 5824, 3013, 267, 2477, 621, 18666, 547, 1331, 8478, 267, 9459, 267, 18475, 267, 3162, 4000, 267, 16266, 267, 7354, 20235, 267, 18335, 267, 3474, 16331, 599, 267, 30643, 267, 28130, 267, 7330, 267, 4516, 543, 3624, 269, 4139, 2267, 2478, 1289, 693, 22757, 341, 8721, 689, 5239, 547, 4728, 1169, 1032, 267, 849, 267, 772, 2607, 340, 599, 14747, 1082, 1032, 15778, 3486, 19014, 269, 772, 2607, 340, 904, 1134, 268, 14445, 730, 13781, 543, 2539, 31032, 2987, 1181, 1049, 13848, 723, 2322, 772, 2607, 340, 599, 593, 519, 8668, 4786, 267, 513, 1587, 3957, 22319, 311, 639, 267, 8385, 2813, 538, 772, 2607, 340, 599, 676, 513, 2754, 1572, 1488, 24728, 267, 568, 29810, 292, 1595, 344, 540, 772, 2607, 340, 599, 1107, 16588, 2829, 454, 6858, 269, 19004, 540, 27816, 1107, 634, 4346, 540, 27816, 568, 7361, 1759, 593, 519, 19386, 5823, 543, 5663, 269, 28521, 689, 19386, 18666, 6589, 585, 811, 982, 476, 2004, 260, 540, 519, 2197, 338, 12654, 267, 27816, 568, 519, 15795, 4102, 4759, 540, 20525, 4488, 676, 3282, 2504, 269, 3245, 519, 476, 4198, 271, 338, 547, 519, 2038, 476, 2735, 271, 338, 519, 23256, 3241, 534, 4346, 4810, 513, 2208, 602, 13631, 1082, 11082, 269, 4033, 8037, 5663, 2882, 11418, 543, 26873, 267, 607, 1134, 607, 16098, 267, 6683, 538, 27816, 6589, 585, 5111, 476, 274, 260, 540, 12654, 267, 476, 1015, 260, 540, 519, 4074, 3196, 267, 543, 693, 2547, 835, 21144, 628, 540, 23256, 3241, 553, 2244, 1858, 269, 27816, 18666, 7573, 267, 8970, 267, 3165, 267, 9341, 4829, 267, 6995, 267, 20230, 267, 519, 2197, 568, 711, 1582, 1606, 11211, 538, 1034, 2127, 540, 6683, 269, 769, 19220, 540, 2269, 1441, 1894, 1063, 519, 1079, 2477, 267, 519, 2136, 2276, 814, 1044, 23256, 3241, 553, 1034, 1271, 9467, 7649, 267, 772, 269, 590, 269, 18666, 547, 27816, 723, 3769, 12227, 267, 6694, 2472, 267, 2564, 7405, 267, 543, 6517, 269, 27816, 568, 835, 540, 519, 1283, 2185, 14273, 540, 3282, 547, 519, 2136, 2276, 269, 6168, 476, 4335, 772, 269, 590, 269, 3549, 616, 6719, 538, 27816, 269, 275, 2929, 29054, 829, 1554, 267, 4335, 267, 1822, 540, 799, 979, 547, 519, 2136, 2276, 540, 3013, 269, 769, 476, 1001, 276, 267, 27816, 1185, 936, 476, 1911, 260, 10637, 1107, 519, 5207, 538, 519, 1158, 267, 519, 2557, 2799, 547, 5176, 476, 4335, 260, 676, 519, 1439, 540, 476, 1001, 277, 609, 27816, 3303, 2718, 883, 5409, 8882, 3175, 1247, 519, 2551, 6710, 2557, 729, 1063, 476, 10602, 260, 547, 476, 3199, 260, 2687, 547, 4830, 2959, 269, 1879, 3282, 729, 4362, 693, 519, 3057, 20403, 756, 334, 10880, 538, 476, 4572, 273, 267, 23256, 3241, 553, 9598, 1807, 267, 20844, 30647, 25366, 717, 6759, 1889, 345, 267, 855, 3282, 1686, 729, 1500, 538, 476, 3707, 274, 950, 9208, 13813, 540, 1715, 14948, 7608, 513, 1007, 6876, 538, 27816, 1759, 593, 519, 476, 2004, 268, 2004, 6240, 267, 513, 19506, 2680, 269, 16301, 1256, 811, 15028, 547, 27816, 941, 7858, 7007, 538, 476, 3707, 276, 267, 1310, 513, 19420, 4547, 547, 1379, 513, 2229, 602, 3769, 20844, 623, 32631, 623, 2946, 30959, 1325, 325, 517, 810, 269, 3245, 519, 476, 4198, 271, 338, 547, 519, 2038, 476, 2735, 271, 338, 26255, 539, 676, 1164, 3282, 5777, 267, 519, 6024, 2208, 1282, 602, 1974, 13631, 1082, 11082, 269, 769, 476, 4198, 279, 513, 1007, 2229, 1586, 3769, 623, 2946, 30959, 1325, 325, 517, 810, 267, 945, 25282, 513, 1544, 585, 519, 3282, 7047, 601, 602, 1131, 1831, 20525, 4488, 269, 4438, 623, 2946, 30959, 13343, 20318, 28983, 1222, 689, 476, 4198, 273, 547, 476, 4198, 279, 267, 27816, 10150, 26526, 1164, 12654, 2208, 267, 18562, 267, 646, 7307, 547, 3666, 23256, 3241, 553, 1857, 6578, 543, 20006, 606, 28336, 989, 337, 4115, 6963, 269, 17402, 543, 10304, 3292, 28322, 14831, 3585, 689, 891, 2175, 267, 1317, 540, 519, 3282, 5763, 267, 23256, 3241, 534, 4600, 10150, 519, 5207, 13848, 538, 5824, 3013, 269, 901, 3510, 729, 20328, 950, 3282, 5777, 25540, 1282, 519, 476, 2735, 271, 338, 267, 676, 519, 4571, 268, 1960, 271, 338, 896, 5518, 681, 2378, 6130, 2836, 1457, 320, 267, 27816, 4718, 5993, 10637, 3928, 540, 476, 2004, 268, 2568, 260, 689, 476, 1960, 274, 547, 476, 1960, 278, 609, 606, 11108, 8445, 538, 476, 1960, 277, 693, 476, 4200, 269, 476, 6434, 10065, 634, 1297, 540, 2713, 538, 6710, 9782, 689, 476, 3607, 260, 538, 476, 2735, 275, 547, 476, 5780, 260, 538, 476, 1960, 276, 609, 519, 2197, 7092, 513, 4049, 12948, 6433, 269, 769, 476, 1960, 279, 267, 519, 6433, 1185, 6738, 1256, 8338, 292, 1595, 344, 540, 27816, 1107, 2961, 659, 553, 454, 6924, 269, 19004, 540, 10476, 1107, 8304, 333, 4461, 24180, 15129, 2344, 4346, 568, 513, 3384, 9709, 4346, 543, 2344, 4346, 269, 3683, 602, 1974, 267, 519, 4346, 814, 4810, 4028, 2208, 267, 538, 519, 8938, 23867, 2540, 267, 10476, 568, 538, 513, 1974, 540, 1373, 7471, 883, 519, 2518, 4346, 269, 20290, 782, 19176, 16904, 616, 1507, 543, 5420, 16904, 267, 10476, 814, 1831, 513, 3056, 6694, 1163, 7163, 543, 6039, 607, 606, 10694, 10278, 585, 4914, 5092, 538, 14913, 5607, 269, 769, 513, 2147, 6752, 547, 824, 19797, 2477, 1310, 519, 1439, 540, 519, 12019, 2782, 519, 9709, 4346, 540, 10476, 4503, 519, 11610, 585, 7607, 543, 4264, 2208, 269, 769, 519, 1699, 1974, 519, 4346, 540, 10476, 12346, 7361, 593, 4914, 5092, 547, 4482, 519, 3854, 689, 18246, 547, 1489, 922, 31934, 2804, 11826, 1145, 269, 769, 476, 1001, 274, 267, 519, 22194, 12654, 6603, 2475, 259, 10204, 269, 276, 4792, 5479, 267, 10476, 814, 1044, 3957, 1851, 519, 8921, 18479, 1597, 543, 595, 25893, 4811, 2477, 269, 6736, 2804, 9740, 1739, 1684, 328 ]

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

[ 513, 1360, 5458, 1689, 538, 1919, 267, 799, 4890, 1242, 538, 2663, 851, 540, 519, 476, 3445, 338, 563, 1320, 836, 611, 327, 595, 10984, 545, 12752, 7012, 1406, 2484, 3297, 519, 31587, 2208, 3255, 563, 4913, 267, 519, 2409, 941, 2085, 2025, 269, 5303, 729, 1373, 31764, 856, 543, 12227, 454, 13195, 7361, 1875, 2291, 550, 269, 634, 4893, 985, 1031, 941, 1524, 8908, 610, 29060, 1826, 799, 454, 326, 1511, 3908, 2504, 269, 18815, 538, 20129, 607, 1134, 607, 856, 20129, 941, 1360, 454, 338, 869, 269, 5442, 2110, 267, 519, 1533, 540, 519, 26035, 729, 711, 1434, 2614, 585, 519, 2872, 563, 928, 947, 640, 568, 519, 3993, 540, 18563, 267, 519, 1007, 9742, 540, 11639, 609, 519, 454, 15276, 540, 18318, 689, 1472, 519, 1158, 3323, 4657, 1919, 543, 3270, 540, 454, 11529, 269, 634, 2964, 1436, 729, 5189, 538, 1978, 2127, 269, 11873, 540, 454, 332, 1468, 1949, 941, 18175, 24612, 269, 18741, 985, 3323, 1373, 8719, 547, 570, 18365, 1564, 799, 454, 322, 746, 2285, 1732, 998, 1584, 338, 269, 23996, 16213, 454, 13195, 849, 5189, 538, 930, 4559, 269, 27413, 543, 1350, 10270, 7907, 4824, 563, 299, 1987, 2218, 1305, 22705, 941, 15469, 538, 930, 4559, 602, 18808, 538, 3486, 454, 5658, 1115, 269, 2353, 713, 1689, 4718, 519, 6990, 585, 519, 2472, 5355, 269, 634, 454, 8114, 2722, 543, 519, 4853, 1235, 1185, 9921, 323, 547, 1491, 593, 519, 2462, 20014, 538, 519, 1985, 454, 22209, 7651, 2720, 540, 774, 836, 611, 327, 814, 2322, 519, 2749, 593, 519, 1158, 4786, 540, 23907, 269, 898, 568, 454, 22238, 2406, 519, 10545, 12440, 540, 5702, 5116, 23907, 6080, 538, 513, 1360, 454, 20791, 1858, 269, 769, 519, 2250, 1032, 3294, 972, 616, 811, 982, 476, 1321, 1007, 4559, 454, 652, 21521, 269, 634, 19206, 538, 519, 4505, 1296, 729, 1472, 476, 7785, 538, 3908, 454, 28493, 269, 11524, 1185, 1256, 4130, 19206, 540, 4773, 829, 1554, 269, 4653, 519, 1482, 568, 454, 29207, 1386, 547, 1796, 693, 476, 1911, 271, 829, 1770, 269, 2060, 811, 4559, 607, 1134, 607, 811, 19206, 2676, 1492, 3148, 20061, 856, 811, 2472, 982, 1022, 824, 12440, 1519, 5651, 6798, 563, 2467, 941, 1152, 454, 19009, 543, 10750, 4778, 4505, 269, 4653, 972, 616, 811, 982, 476, 736, 4778, 547, 1374, 454, 5976, 269, 1703, 941, 1360, 3908, 2039, 543, 1804, 2504, 540, 2107, 20811, 623, 753, 729, 454, 16308, 269, 4653, 267, 972, 568, 513, 2647, 3099, 602, 19646, 540, 811, 982, 476, 5197, 5546, 269, 634, 454, 338, 16577, 9096, 729, 10750, 4505, 269, 4653, 267, 23554, 4592, 320, 543, 7435, 7206, 723, 3144, 454, 1478, 269, 3502, 547, 2446, 29654, 543, 824, 2627, 5574, 547, 519, 7254, 3202, 454, 10177, 1288, 540, 1373, 3902, 2500, 267, 774, 836, 611, 327, 1631, 3091, 513, 31042, 543, 27610, 454, 338, 534, 3202, 16292, 269, 1403, 596, 616, 3168, 585, 7254, 3202, 16292, 602, 568, 10097, 2943, 454, 12999, 583, 1190, 267, 774, 836, 611, 327, 568, 519, 1747, 547, 979, 563, 1729, 2698, 3127, 563, 2467, 568, 711, 513, 562, 809, 540, 519, 2197, 1141, 972, 568, 5842, 2787, 855, 972, 568, 1100, 454, 303, 19991, 540, 774, 836, 611, 327, 5842, 3202, 16292, 269, 769, 1249, 1034, 540, 519, 2229, 19455, 454, 20142, 1161, 723, 1044, 3811, 1813, 547, 519, 3902, 5413, 540, 774, 836, 611, 327, 2472, 563, 1260, 3966, 625, 616, 1631, 849, 883, 2679, 540, 12478, 607, 789, 723, 519, 2298, 602, 454, 4754, 581, 1360, 3811, 538, 5450, 4592, 543, 26355, 540, 3127, 269, 634, 3549, 616, 2469, 538, 454, 1721, 1732, 10229, 267, 3384, 12478, 2864, 982, 6529, 547, 519, 670, 18853, 19851, 3198, 454, 9792, 543, 519, 5100, 3283, 616, 2731, 1210, 2029, 607, 1134, 513, 4464, 454, 5658, 7566, 547, 1628, 6075, 3490, 585, 741, 12478, 782, 2066, 3127, 563, 18814, 547, 4390, 454, 10339, 6416, 782, 936, 267, 972, 616, 1079, 2101, 4145, 540, 1870, 8075, 269, 3689, 267, 4074, 454, 6233, 616, 8375, 543, 8244, 568, 32033, 676, 519, 1554, 269, 1703, 616, 4074, 454, 332, 580, 7992, 689, 1114, 2127, 540, 3127, 267, 855, 519, 3510, 568, 3478, 454, 577, 718, 27701, 543, 8380, 2604, 593, 519, 3790, 607, 1134, 269, 634, 824, 4161, 454, 2288, 4397, 547, 581, 10151, 568, 519, 31587, 2783, 540, 936, 3761, 563, 26139, 1813, 547, 4390, 20073, 687, 2921, 1747, 538, 513, 1360, 2110, 1974, 540, 942, 2676, 1492, 1629, 976, 540, 936, 3761, 616, 20807, 532, 2872, 5716, 267, 7361, 1007, 3283, 269, 634, 454, 322, 739, 338, 540, 11378, 971, 607, 3154, 543, 6151, 1570, 616, 2469, 909, 1932, 267, 18136, 3902, 454, 325, 1956, 540, 519, 2872, 593, 519, 1279, 2196, 5654, 6505, 1813, 547, 519, 3986, 906, 540, 454, 638, 1275, 543, 1374, 540, 519, 1587, 269, 5410, 547, 602, 519, 1007, 2034, 5108, 4947, 454, 20041, 2872, 609, 4195, 2093, 543, 6626, 5075, 267, 972, 568, 1152, 835, 4287, 454, 1492, 774, 836, 611, 327, 5842, 3202, 16292, 568, 2469, 267, 20733, 563, 13757, 1831, 835, 12139, 602, 568, 1224, 782, 936, 3127, 538, 17375, 10580, 269, 898, 814, 454, 13069, 727, 519, 7608, 12139, 602, 6770, 1434, 4930, 1222, 609, 3377, 543, 5784, 563, 763, 18225, 1631, 2115, 513, 23906, 615, 1413, 269, 901, 568, 1141, 649, 786, 991, 938, 3988, 454, 1729, 1205, 3238, 269, 12706, 22971, 568, 707, 12139, 269, 5269, 621, 1390, 563, 2791, 666, 6494, 721, 454, 20365, 5784, 267, 543, 2093, 547, 519, 12139, 779, 5604, 267, 2228, 610, 538, 1820, 547, 948, 721, 454, 24708, 621, 1732, 269, 2659, 4930, 1131, 581, 513, 22429, 269, 1717, 267, 952, 596, 666, 6494, 721, 454, 3286, 707, 13668, 585, 930, 2027, 5396, 267, 649, 786, 581, 19914, 547, 2328, 827, 454, 10702, 267, 607, 519, 454, 539, 3218, 540, 519, 8313, 267, 649, 616, 883, 3001, 883, 3486, 6990, 269, 1284, 454, 30524, 899, 547, 723, 707, 6337, 609, 930, 1257, 585, 707, 11564, 547, 930, 4853, 454, 28493, 538, 930, 824, 2477, 899, 8050, 2676, 19770, 267, 7977, 610, 454, 1278, 338, 269, 901, 1131, 2731, 948, 596, 1205, 606, 2300, 15133, 2230, 538, 938, 12139, 543, 454, 15276, 721, 3142, 2622, 4147, 15327, 2661, 538, 519, 12139, 563, 1103, 713, 3390, 454, 933, 723, 938, 3486, 19773, 593, 17289, 269, 17289, 568, 513, 454, 12248, 787, 1507, 538, 2450, 267, 855, 2462, 593, 4316, 269, 4706, 595, 10984, 545, 12618, 568, 593, 513, 454, 27168, 269, 31598, 835, 540, 519, 1101, 2477, 649, 616, 7231, 609, 538, 519, 2484, 454, 324, 6141, 6990, 269, 1284, 616, 2386, 602, 649, 786, 3142, 827, 1082, 4930, 585, 519, 2484, 454, 324, 6141, 6990, 799, 21279, 547, 581, 938, 6735, 538, 519, 2518, 26750, 563, 2171, 2417, 1413, 454, 520, 774, 836, 611, 327, 267, 1586, 269, 634, 1858, 568, 883, 513, 2101, 10575, 3424, 607, 2484, 607, 4390, 454, 22519, 766, 618, 568, 7255, 269, 898, 568, 849, 519, 2101, 18261, 540, 23907, 267, 7361, 2676, 26596, 3202, 16292, 269, 18786, 689, 1686, 267, 649, 723, 4988, 3584, 11489, 1018, 774, 698, 611, 327, 454, 321, 5350, 8075, 616, 7680, 1631, 269, 1284, 616, 2386, 713, 786, 581, 513, 1434, 5813, 454, 20041, 519, 1858, 563, 8923, 798, 1205, 454, 28717, 9407, 538, 519, 2208, 540, 707, 12139, 267, 519, 12706, 22971, 563, 4407, 519, 1158, 2551, 9428, 267, 865, 1281, 519, 991, 585, 1434, 8027, 563, 4415, 2333, 538, 7924, 543, 4656, 540, 19455, 267, 1169, 2197, 568, 454, 342, 5893, 532, 513, 10006, 538, 519, 991, 585, 17375, 5370, 269, 5047, 267, 609, 1169, 2197, 4742, 454, 3467, 1582, 882, 5050, 267, 1732, 19824, 1932, 616, 18796, 269, 17289, 267, 568, 711, 2484, 3297, 538, 519, 454, 335, 1156, 1580, 517, 269, 2755, 513, 267, 2603, 540, 6080, 616, 3257, 1134, 538, 17289, 267, 865, 568, 454, 1492, 595, 10984, 545, 12752, 269, 1924, 1934, 568, 513, 1413, 693, 519, 21487, 595, 10984, 545, 31950, 9222, 563, 763, 15456, 5619, 540, 17289, 454, 516, 557, 1023, 602, 17289, 1185, 513, 2178, 17375, 2528, 2094, 1296, 269, 1717, 267, 519, 454, 1410, 716, 5712, 616, 7164, 269, 4329, 267, 519, 4930, 1336, 693, 1585, 4609, 666, 581, 454, 5035, 1881, 883, 1079, 2101, 6688, 563, 4002, 525, 602, 941, 14475, 538, 17289, 1185, 513, 2312, 5905, 543, 454, 1952, 30970, 540, 519, 21487, 3203, 16388, 269, 1306, 519, 2950, 538, 17289, 454, 16467, 539, 538, 2257, 543, 1148, 267, 519, 23907, 540, 1346, 2053, 2992, 713, 454, 2889, 28698, 269, 898, 568, 849, 10423, 602, 17289, 779, 3638, 2200, 538, 10036, 454, 26200, 4362, 1134, 1354, 891, 2053, 543, 7444, 267, 519, 17375, 1494, 614, 779, 2645, 454, 663, 2472, 3357, 883, 519, 21487, 10820, 269, 4107, 540, 891, 2472, 941, 1455, 454, 1103, 519, 1482, 1974, 267, 972, 729, 16865, 17375, 16292, 538, 946, 607, 1134, 269, 17289, 1373, 454, 320, 2244, 540, 4123, 538, 1346, 2053, 267, 621, 568, 1100, 9983, 602, 972, 941, 824, 454, 12248, 1845, 4171, 17375, 5370, 1500, 621, 547, 21487, 2777, 6585, 607, 1134, 563, 305, 1177, 7698, 10778, 288, 2101, 1520, 2779, 720, 454, 2026, 649, 917, 267, 519, 17375, 2872, 454, 529, 519, 2872, 540, 1434, 2298, 10036, 269, 1403, 972, 568, 10036, 972, 568, 2872, 563, 13757, 5458, 12074, 540, 2298, 10036, 7361, 538, 700, 2086, 784, 11662, 540, 519, 2197, 563, 2467, 616, 824, 2127, 1932, 602, 723, 1434, 10036, 12074, 563, 763, 2282, 1145, 547, 519, 2101, 6151, 1570, 2306, 585, 513, 1390, 7580, 454, 7349, 720, 585, 519, 2872, 269, 901, 568, 849, 513, 2101, 2601, 1946, 513, 1297, 540, 454, 3256, 4382, 607, 1134, 607, 4914, 5716, 723, 9411, 883, 5478, 543, 3761, 540, 454, 1356, 25271, 5370, 538, 17289, 563, 10702, 267, 21487, 8534, 568, 9602, 10464, 607, 1134, 269, 6271, 2462, 2601, 585, 519, 454, 290, 10984, 545, 15733, 1373, 14949, 543, 811, 10097, 538, 519, 3486, 2344, 563, 290, 10984, 923, 1373, 513, 3810, 4074, 14021, 1899, 267, 713, 3815, 540, 2504, 2337, 454, 1492, 2014, 540, 1507, 6080, 269, 769, 1249, 267, 700, 2086, 784, 454, 17809, 1550, 929, 1938, 3294, 547, 1683, 835, 454, 1993, 519, 4102, 2308, 906, 538, 519, 2898, 540, 17289, 269, 634, 11662, 12303, 454, 31162, 341, 1161, 593, 17375, 15327, 602, 616, 1472, 476, 1220, 266, 538, 519, 11662, 543, 454, 32417, 281, 476, 1001, 271, 11752, 454, 1103, 519, 1032, 476, 1001, 271, 267, 595, 10984, 545, 454, 290, 10938, 4080, 930, 454, 22772, 902, 540, 519, 17375, 2872, 602, 616, 4502, 3168, 693, 269, 634, 595, 10984, 545, 454, 26581, 787, 538, 17289, 454, 13757, 13631, 2603, 540, 4914, 7482, 1102, 869, 799, 568, 835, 540, 519, 2101, 27857, 454, 1993, 519, 2872, 269, 4340, 547, 519, 1867, 267, 5111, 476, 8517, 2929, 20430, 1102, 869, 454, 13195, 14754, 269, 634, 8760, 540, 1587, 8797, 9541, 666, 581, 24298, 454, 763, 6989, 17981, 267, 3774, 17981, 543, 19821, 923, 1185, 476, 1321, 15327, 602, 5059, 593, 454, 14683, 2029, 543, 1185, 513, 476, 2568, 260, 18666, 540, 519, 2698, 2504, 563, 26596, 3202, 16292, 1016, 5823, 1185, 476, 279, 15327, 267, 1586, 609, 519, 2147, 476, 2568, 14999, 1410, 7964, 547, 3486, 6990, 563, 763, 1202, 22399, 1016, 5823, 779, 476, 3445, 260, 540, 519, 2504, 729, 10057, 538, 454, 3256, 4382, 2344, 267, 799, 1586, 568, 1390, 267, 19962, 547, 519, 2208, 538, 519, 21487, 4346, 2676, 320, 2312, 16315, 540, 9541, 538, 5989, 269, 634, 476, 1015, 15327, 538, 454, 1231, 22399, 616, 7361, 4092, 538, 10854, 330, 758, 267, 26981, 558, 454, 7468, 520, 558, 543, 538, 3844, 17289, 454, 663, 519, 14105, 784, 11662, 454, 1993, 8109, 17289, 563, 22102, 518, 24322, 538, 7718, 2510, 23907, 607, 1134, 607, 12129, 16292, 616, 454, 26171, 569, 4092, 538, 700, 2086, 784, 267, 19681, 327, 684, 543, 932, 1014, 2742, 328, 269, 634, 12129, 16292, 1185, 454, 32191, 476, 6924, 15327, 540, 4130, 2450, 267, 1247, 7718, 2510, 616, 14475, 454, 514, 476, 11277, 1507, 4559, 269, 2353, 891, 616, 4074, 14021, 543, 1683, 1434, 2179, 540, 454, 655, 7877, 538, 519, 3148, 269, 476, 3199, 260, 540, 519, 24299, 540, 891, 1016, 9922, 616, 454, 1320, 16233, 849, 814, 513, 454, 15893, 540, 1164, 2029, 8122, 17981, 9755 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1496, 4467, 11952, 8745, 4940, 1306, 513, 3810, 9952, 3318, 267, 594, 3494, 1250, 1995, 267, 22754, 267, 543, 6791, 5447, 1134, 609, 519, 4170, 585, 713, 1909, 780, 1103, 1250, 3105, 5107, 607, 513, 1496, 28095, 16763, 19024, 3910, 594, 723, 9715, 3573, 1995, 538, 1496, 8266, 10341, 543, 13786, 4850, 4940, 594, 3494, 891, 1983, 543, 1995, 723, 5423, 803, 547, 3565, 547, 707, 2319, 3927, 780, 11101, 267, 594, 723, 513, 25328, 781, 4110, 538, 1496, 293, 1752, 540, 5530, 3910, 513, 631, 10640, 763, 1650, 1058, 11200, 998, 519, 3197, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 269, 634, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 5149, 476, 275, 281, 22985, 2920, 13659, 543, 4317, 28073, 910, 4498, 1145, 532, 519, 5295, 540, 9293, 585, 7827, 692, 7072, 912, 1103, 713, 1770, 267, 649, 5490, 883, 519, 1158, 540, 14447, 17933, 543, 1514, 5322, 1369, 519, 2796, 540, 14298, 18426, 13316, 1315, 11806, 266, 5525, 1315, 22985, 5525, 269, 3414, 3695, 3140, 19325, 267, 9565, 5515, 267, 543, 5339, 2553, 267, 596, 3513, 1451, 875, 1913, 723, 1044, 15747, 538, 5935, 519, 2729, 543, 2924, 540, 4638, 18441, 269, 1635, 8220, 891, 4245, 547, 4207, 2152, 543, 5322, 267, 596, 666, 1831, 606, 8665, 540, 1689, 676, 29937, 532, 707, 1378, 4050, 3927, 780, 4089, 476, 272, 281, 8466, 12745, 540, 22985, 2920, 13659, 543, 9085, 454, 18439, 519, 5072, 540, 2413, 14447, 17933, 543, 922, 2078, 609, 3332, 2429, 1686, 269, 13760, 875, 25761, 5931, 899, 32240, 18724, 2006, 781, 27817, 540, 23420, 543, 30546, 8187, 324, 781, 1546, 4515, 1495, 529, 8329, 547, 2038, 5717, 827, 32270, 543, 21490, 519, 1259, 585, 811, 8763, 2797, 12180, 269, 25826, 14758, 8153, 4773, 602, 941, 2629, 547, 22297, 3646, 267, 1519, 4789, 781, 16423, 754, 523, 7797, 543, 3013, 781, 20917, 22389, 5623, 780, 4089, 476, 273, 281, 6206, 22955, 538, 22985, 2920, 13659, 543, 16520, 27505, 619, 454, 22860, 2763, 7986, 2043, 945, 2269, 9536, 1194, 1312, 10600, 1765, 716, 643, 1235, 945, 1031, 1603, 607, 513, 1907, 585, 14223, 543, 5159, 4171, 13144, 17275, 6848, 10593, 269, 5548, 557, 883, 519, 2729, 540, 6276, 25930, 7773, 267, 10748, 516, 7083, 324, 267, 543, 14639, 8291, 12736, 1562, 517, 1247, 6313, 741, 1713, 7418, 547, 1312, 20210, 3069, 543, 3332, 269, 13028, 26173, 9739, 971, 607, 9370, 3873, 623, 269, 9652, 267, 31506, 16129, 5211, 320, 267, 543, 26573, 8065, 267, 4171, 18531, 543, 11042, 6039, 607, 27857, 585, 29065, 4254, 16478, 780, 4089, 476, 274, 281, 14958, 532, 3281, 2454, 15881, 2510, 1107, 9828, 543, 11150, 454, 22913, 1585, 9423, 4485, 6964, 676, 3811, 4589, 543, 15628, 7567, 269, 5530, 1915, 1646, 267, 6429, 1606, 23293, 267, 543, 10855, 1893, 602, 3826, 1127, 1272, 883, 2984, 1419, 2124, 326, 730, 547, 20224, 269, 6258, 827, 17720, 3457, 899, 2619, 657, 267, 31672, 267, 543, 27291, 282, 1174, 875, 789, 18427, 4664, 267, 3715, 17258, 267, 543, 22321, 9458, 269, 6657, 7311, 891, 2409, 547, 1711, 3532, 6386, 5827, 540, 5807, 6568, 543, 11121, 2962, 1851, 3988, 780, 4089, 476, 275, 281, 16792, 7869, 547, 16217, 343, 529, 1107, 4635, 2659, 20429, 6356, 1947, 454, 9558, 819, 689, 7811, 1702, 547, 4052, 3498, 269, 10576, 2127, 1141, 10616, 2291, 538, 6041, 543, 2232, 873, 998, 2854, 4082, 269, 15331, 609, 1114, 23447, 630, 612, 904, 267, 1566, 268, 2644, 267, 2110, 2984, 267, 6965, 264, 547, 6655, 6835, 3358, 547, 3309, 9458, 269, 3763, 2994, 585, 10188, 1761, 1394, 31988, 543, 4509, 6043, 950, 21947, 609, 4187, 780, 4089, 476, 276, 281, 7351, 12367, 543, 8892, 19648, 454, 8777, 720, 609, 5969, 12967, 7835, 538, 14447, 17933, 543, 3332, 269, 31385, 28963, 1063, 5198, 267, 4008, 3961, 267, 4984, 267, 2702, 267, 543, 14227, 4567, 1369, 20210, 2950, 269, 6333, 6932, 11964, 899, 23019, 5708, 543, 17728, 607, 6472, 585, 7586, 4328, 12790, 5380, 269, 10812, 5499, 5867, 630, 25791, 2923, 267, 1990, 1149, 267, 27143, 264, 602, 24339, 520, 1125, 1569, 547, 1344, 23425, 543, 6536, 5188, 1472, 1950, 3584, 780, 6962, 912, 3528, 9284, 532, 3054, 538, 519, 3638, 13795, 540, 14447, 17933, 543, 5339, 5389, 267, 596, 2744, 3407, 4030, 883, 519, 1379, 540, 1913, 547, 1198, 10663, 6209, 1689, 269, 1306, 596, 3136, 28798, 707, 4739, 267, 3314, 602, 1169, 4062, 540, 1603, 8309, 547, 6626, 2686, 7391, 4478, 11806, 266, 9163, 543, 2833, 269, 22737, 707, 1909, 607, 513, 17082, 267, 12167, 267, 543, 24343, 11652, 4585, 607, 707, 5639, 2337, 3337, 519, 2104, 540, 14447, 17933, 543, 1514, 5322, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21893, 1576, 786, 948, 1053, 1020, 606, 1620, 540, 11300, 5675, 998, 2565, 2542, 267, 519, 26004, 1184, 267, 543, 1362, 11925, 269, 30633, 532, 543, 2847, 2358, 786, 581, 513, 2101, 5057, 540, 938, 3860, 960, 269, 1284, 786, 1224, 543, 5659, 2442, 1568, 540, 15923, 267, 5708, 267, 543, 6965, 609, 1808, 3007, 547, 4739, 2609, 267, 971, 607, 4259, 267, 3197, 267, 1448, 540, 2070, 267, 13513, 267, 6609, 267, 543, 3159, 269, 634, 1576, 786, 1445, 593, 2870, 3312, 1568, 267, 13186, 4771, 9263, 12591, 267, 543, 4974, 3370, 3332, 269, 2667, 11220, 1362, 13220, 786, 1683, 6667, 585, 2875, 960, 543, 3255, 547, 24917, 10763, 1983, 269, 4147, 2238, 1331, 2542, 4901, 267, 2228, 2238, 998, 2052, 11663, 267, 3059, 1382, 267, 543, 20343, 693, 3860, 2542, 2621, 269, 901, 17440, 786, 5965, 1053, 547, 2328, 513, 2123, 1557, 267, 513, 960, 540, 5708, 267, 543, 513, 3126, 540, 9954, 269, 4841, 616, 9415, 547, 2259, 9306, 741, 960, 693, 1857, 13220, 267, 2263, 2009, 28503, 585, 8313, 267, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 294, 599, 2920, 13659, 543, 4317, 28073, 257, 607, 851, 540, 834, 24719, 13316, 1315, 11806, 266, 5525, 1315, 22985, 5525, 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, 8702, 547, 938, 1576, 782, 827, 2564, 21594, 543, 16166, 256, 901, 1522, 3100, 899, 513, 7168, 1808, 630, 663, 6148, 1256, 19309, 264, 1888, 693, 1101, 267, 855, 3972, 721, 910, 621, 781, 1259, 811, 4277, 982, 596, 1589, 269, 9578, 267, 1620, 2564, 1913, 666, 948, 596, 1745, 811, 8746, 952, 596, 2479, 991, 547, 3643, 519, 4387, 610, 2911, 827, 1072, 2152, 269, 1924, 1577, 781, 4685, 1318, 538, 2439, 5575, 540, 782, 267, 723, 596, 2479, 4862, 2576, 946, 513, 2731, 2462, 2262, 602, 596, 4769, 1405, 1174, 286, 9320, 789, 941, 6158, 827, 513, 834, 3012, 5448, 257, 610, 513, 834, 325, 847, 675, 1701, 8409, 616, 1312, 2564, 2474, 602, 4766, 7063, 269, 589, 22104, 5448, 568, 950, 1973, 25173, 3544, 540, 513, 1973, 6077, 267, 4929, 20015, 2358, 267, 1247, 513, 17795, 568, 1175, 1776, 2262, 585, 513, 7745, 5642, 780, 3086, 4952, 3843, 547, 1451, 827, 1346, 7063, 630, 528, 1022, 824, 2564, 2783, 14386, 1510, 6616, 1018, 519, 1913, 1611, 269, 2334, 1131, 581, 2706, 14845, 267, 1318, 286, 2334, 781, 1141, 2564, 21594, 2097, 538, 13561, 269, 1358, 2811, 10416, 2835, 610, 8924, 602, 2270, 8847, 585, 6266, 540, 1114, 2564, 2474, 269, 2368, 2564, 21594, 616, 5458, 267, 5627, 5215, 540, 13366, 267, 1247, 1866, 616, 4130, 543, 1152, 3382, 1978, 3584, 780, 3080, 3579, 3364, 827, 2564, 21594, 568, 602, 1082, 540, 873, 849, 2491, 1141, 2564, 1913, 2097, 689, 269, 1280, 1383, 267, 1705, 596, 917, 602, 519, 2262, 834, 6572, 1460, 257, 2501, 689, 519, 5824, 2262, 585, 834, 611, 1288, 22172, 2334, 2306, 2631, 267, 2094, 707, 30569, 568, 2186, 540, 899, 513, 2370, 3063, 851, 540, 707, 9667, 1062, 269, 6271, 1383, 568, 519, 2165, 834, 27971, 650, 4345, 2437, 799, 568, 6553, 540, 519, 9748, 2812, 269, 634, 2262, 834, 27971, 559, 257, 2501, 689, 519, 5824, 2262, 585, 834, 1873, 2454, 1701, 6423, 875, 602, 1568, 2496, 5194, 1826, 540, 2564, 1893, 596, 1522, 5873, 616, 834, 788, 11618, 1701, 1323, 3134, 7716, 568, 513, 2012, 602, 781, 1759, 593, 513, 1268, 269, 769, 4915, 267, 606, 3134, 7716, 568, 1419, 1031, 547, 4766, 513, 2068, 267, 6794, 267, 610, 5650, 602, 729, 4362, 610, 11827, 676, 2576, 269, 1280, 3236, 267, 19576, 781, 2068, 568, 3957, 1310, 6276, 19576, 267, 945, 4330, 519, 2589, 538, 1469, 1394, 538, 476, 8687, 278, 269, 6684, 267, 25425, 2068, 4991, 922, 2012, 689, 6196, 25425, 267, 21086, 267, 1141, 1896, 2665, 540, 519, 4576, 941, 4080, 538, 519, 3735, 476, 3192, 271, 338, 780, 8170, 1576, 267, 972, 616, 7366, 540, 2564, 3134, 11618, 856, 972, 267, 865, 649, 4465, 1405, 979, 998, 782, 540, 873, 1934, 269, 1809, 23248, 267, 713, 3947, 596, 606, 2856, 540, 1946, 789, 2811, 1271, 269, 1635, 1565, 891, 4408, 267, 7189, 543, 3744, 666, 5968, 3533, 543, 7561, 827, 1950, 2564, 2035, 269, 1656, 607, 513, 22429, 267, 930, 2564, 3134, 11618, 616, 2965, 2731, 1187, 547, 2161, 256, 8347, 15749, 1424, 834, 295, 698, 331, 1495, 781, 22775, 640, 257, 610, 834, 2704, 1636, 6794, 257, 856, 10978, 269, 30474, 3579, 267, 26001, 2496, 3383, 1631, 602, 596, 917, 513, 3787, 811, 827, 2564, 21594, 543, 3134, 11618, 267, 1577, 781, 16833, 1919, 909, 269, 5457, 267, 1985, 942, 596, 7237, 513, 9490, 2564, 2165, 267, 1810, 1405, 11784, 256, 3807, 10544, 513, 8675, 610, 1413, 621, 909, 2228, 267, 543, 4166, 2614, 267, 596, 3513, 581, 6340, 899, 513, 605, 269, 5808, 6487, 267, 6148, 835, 1554, 596, 3513, 1256, 3605, 513, 1007, 2564, 1523, 3054, 910, 543, 1205, 547, 2012, 621, 1310, 3054, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 21357, 8675, 22356, 568, 2966, 585, 2564, 1053, 267, 4543, 873, 538, 741, 2090, 269, 8281, 713, 813, 689, 2890, 7809, 4558, 585, 9486, 476, 1015, 267, 9486, 476, 1015, 5985, 267, 9486, 6049, 476, 279, 269, 6481, 8675, 22356, 568, 585, 2564, 9439, 543, 1053, 547, 1413, 909, 519, 8847, 543, 2930, 2474, 538, 513, 2034, 269, 2991, 938, 4693, 543, 1449, 267, 519, 3301, 568, 9863, 547, 581, 4013, 267, 5150, 543, 1863, 269, 8281, 519, 5767, 4528, 540, 2228, 8675, 1863, 538, 269, 10228, 2564, 8675, 585, 543, 5514, 1863, 4647, 543, 3301, 269, 8281, 11344, 620, 342, 2378, 328, 6037, 1807, 7005, 541, 629, 545, 8675, 563, 300, 657, 321, 903, 2564, 8675, 476, 280, 628, 7160, 19545, 7824, 1863, 4647, 269, 5131, 2564, 8675, 1281, 4010, 1018, 596, 323, 2503, 269, 18391, 585, 2228, 4214, 540, 4647, 610, 1018, 4647, 6763, 585, 269, 898, 2934, 936, 476, 6321, 267, 1822, 22265, 8847, 267, 2656, 563, 12606, 1863, 8675, 585, 543, 5514, 267, 1775, 657, 267, 476, 13023, 821, 267, 28258, 611, 267, 28258, 617, 269, 5131, 2564, 8675, 1863, 4647, 9486, 4528, 269, 2296, 22356, 8675, 7005, 22356, 519, 28445, 609, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 631, 19075, 1315, 667, 17152, 1299, 12910, 11659, 1315, 9210, 11618, 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 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 634, 9119, 540, 14716, 10049, 13281, 692, 17746, 2315, 2326, 4152, 568, 513, 2565, 2460, 540, 4180, 519, 7293, 8699, 543, 3106, 540, 5656, 543, 5989, 3785, 269, 634, 6128, 3238, 538, 2326, 4152, 1404, 513, 4909, 1909, 538, 8159, 3601, 971, 607, 4222, 267, 15006, 267, 543, 29839, 585, 1585, 3156, 269, 769, 713, 2376, 267, 649, 5490, 883, 519, 6310, 3741, 543, 12596, 602, 20690, 4070, 2326, 4152, 780, 1012, 476, 272, 269, 13262, 543, 853, 1778, 5811, 692, 29590, 543, 8833, 2079, 568, 513, 22294, 540, 2326, 4152, 269, 13262, 4016, 547, 519, 4835, 4187, 540, 513, 1570, 547, 22636, 267, 1247, 8833, 3800, 519, 6708, 540, 22636, 896, 4294, 2566, 269, 634, 2566, 3613, 1778, 2078, 2337, 8030, 1174, 513, 1570, 781, 2623, 543, 922, 2702, 547, 16641, 13907, 780, 763, 4542, 585, 12719, 2566, 568, 1384, 29590, 630, 17385, 264, 815, 10414, 630, 293, 264, 1315, 9351, 630, 288, 2020, 8489, 1384, 1892, 10414, 630, 293, 264, 568, 519, 4294, 3196, 454, 1892, 9351, 630, 288, 264, 568, 519, 3444, 22891, 1858, 540, 519, 1570, 692, 1805, 1778, 568, 7229, 1210, 519, 4542, 1384, 1805, 1778, 630, 15770, 264, 815, 7827, 538, 20099, 630, 24941, 299, 264, 1315, 22731, 20099, 630, 299, 2020, 8489, 1384, 1892, 7827, 538, 20099, 630, 24941, 299, 264, 568, 519, 3017, 1063, 519, 632, 11526, 3259, 543, 519, 3312, 3259, 454, 1892, 22731, 20099, 630, 299, 264, 568, 519, 3355, 3259, 540, 519, 1570, 692, 3528, 28321, 2566, 1996, 8833, 267, 8030, 666, 3313, 3601, 971, 607, 519, 6556, 1448, 267, 10700, 4222, 267, 543, 29870, 540, 22786, 585, 1114, 2326, 780, 1012, 476, 273, 269, 3281, 1833, 543, 570, 3290, 13281, 692, 15253, 1833, 543, 8082, 4152, 616, 1455, 2409, 1031, 547, 2708, 513, 1570, 781, 4222, 896, 1114, 15205, 2175, 269, 1452, 4255, 4125, 1641, 532, 513, 1570, 547, 735, 4809, 610, 28995, 4229, 1247, 7893, 922, 22636, 543, 3210, 780, 1103, 13496, 4152, 267, 519, 735, 4809, 2566, 568, 7229, 1210, 1384, 15253, 4809, 13262, 815, 10414, 630, 293, 264, 1315, 9351, 630, 288, 2020, 307, 3290, 4152, 3322, 12719, 519, 28995, 2566, 1210, 513, 2147, 4542, 1384, 307, 839, 850, 13262, 815, 10414, 630, 293, 264, 1315, 9351, 630, 288, 2020, 13828, 4255, 1683, 3407, 4030, 883, 513, 1570, 781, 2623, 543, 7344, 3601, 267, 4543, 8030, 1118, 5483, 3664, 827, 922, 32636, 538, 4070, 3785, 780, 1012, 476, 274, 269, 645, 2056, 543, 21253, 1116, 23848, 692, 289, 2056, 4255, 6218, 513, 1570, 781, 2702, 547, 5706, 19755, 4229, 267, 1138, 6819, 2175, 899, 1346, 4810, 676, 20832, 543, 7293, 2609, 269, 634, 4827, 1116, 4222, 267, 849, 1634, 607, 519, 29870, 540, 28230, 267, 3800, 513, 1570, 781, 4187, 547, 19755, 780, 763, 4542, 585, 12719, 4827, 1116, 4222, 568, 1384, 293, 2716, 1116, 23848, 630, 17385, 264, 815, 476, 274, 6398, 20509, 630, 303, 264, 6398, 20099, 630, 299, 264, 1315, 630, 273, 6398, 654, 5954, 630, 310, 264, 6398, 774, 32169, 630, 307, 8203, 273, 2020, 8489, 1384, 1892, 20099, 630, 299, 264, 568, 519, 12732, 3259, 454, 1892, 654, 5954, 630, 310, 264, 568, 519, 8700, 540, 519, 19494, 454, 1892, 774, 32169, 630, 307, 264, 568, 519, 11098, 540, 519, 19494, 692, 1012, 476, 275, 269, 2701, 541, 543, 2701, 541, 23848, 692, 9515, 541, 4255, 6218, 513, 1570, 781, 2702, 547, 16641, 4229, 4294, 6252, 547, 922, 2627, 269, 2701, 541, 4222, 568, 513, 2565, 3959, 585, 2326, 1031, 538, 3889, 1641, 547, 14694, 13907, 267, 971, 607, 20832, 543, 9587, 269, 2701, 541, 4255, 4125, 12719, 519, 19852, 2566, 1384, 9515, 541, 13262, 630, 16483, 264, 815, 10414, 630, 293, 264, 1315, 9351, 630, 288, 2020, 8489, 1384, 1892, 10414, 630, 293, 264, 568, 519, 4294, 19852, 3196, 454, 1892, 9351, 630, 288, 264, 568, 519, 1858, 16271, 547, 19852, 692, 1012, 476, 276, 269, 10434, 1145, 13281, 692, 26773, 1145, 4152, 2708, 525, 513, 1570, 781, 4187, 547, 25034, 566, 610, 22636, 269, 15316, 21052, 4152, 2409, 267, 971, 607, 9412, 6202, 267, 5696, 514, 749, 267, 543, 966, 1157, 619, 4255, 267, 2268, 519, 1570, 781, 2702, 547, 16641, 21774, 676, 513, 13387, 967, 10938, 269, 634, 2164, 1683, 1344, 827, 519, 1570, 781, 4222, 543, 5957, 4187, 780, 10376, 21052, 4152, 1505, 3096, 513, 2189, 4542, 547, 5173, 21052, 2418, 267, 2921, 883, 2272, 519, 4294, 4452, 543, 519, 2450, 540, 519, 25034, 566, 780, 1012, 476, 277, 269, 3525, 15252, 540, 4432, 2880, 640, 543, 7313, 24480, 781, 22472, 692, 763, 29870, 540, 22786, 267, 849, 1634, 607, 8479, 781, 29870, 267, 3067, 5809, 513, 1570, 781, 20765, 543, 922, 2702, 547, 22775, 896, 2566, 269, 7313, 24480, 781, 5223, 6257, 875, 513, 1570, 2242, 538, 4320, 950, 16271, 547, 513, 796, 807, 343, 658, 2566, 780, 763, 4542, 585, 12719, 519, 29870, 540, 22786, 568, 1384, 9556, 15252, 540, 4432, 2880, 640, 630, 292, 264, 815, 13262, 630, 17385, 264, 1315, 853, 1778, 630, 15770, 2020, 22437, 24480, 781, 5223, 630, 14832, 264, 568, 7229, 1210, 519, 4542, 1384, 22437, 24480, 781, 22472, 630, 14832, 264, 815, 700, 8632, 853, 1778, 1315, 7043, 15994, 853, 1778, 692, 1012, 476, 278, 269, 4826, 4211, 324, 618, 22472, 543, 22493, 23848, 692, 1103, 6405, 4152, 267, 519, 1216, 268, 576, 618, 5223, 3648, 5540, 519, 1570, 781, 4222, 543, 15006, 269, 634, 1216, 268, 576, 618, 5223, 568, 7229, 1210, 519, 4542, 1384, 12850, 4211, 324, 618, 22472, 815, 13379, 540, 4826, 1315, 13379, 540, 24533, 692, 3519, 4740, 4222, 568, 6766, 676, 1585, 2188, 267, 1519, 27955, 2175, 267, 27960, 267, 543, 8098, 4869, 999, 269, 634, 735, 4809, 4222, 540, 6405, 568, 7229, 1210, 519, 4542, 1384, 15253, 4809, 23848, 815, 20509, 693, 23299, 1315, 9061, 268, 4089, 531, 9351, 692, 1012, 476, 279, 269, 6348, 5937, 652, 10614, 13281, 692, 15239, 1673, 652, 10614, 4152, 2409, 267, 971, 607, 24318, 21319, 4152, 543, 10237, 4919, 4152, 267, 2708, 1570, 3601, 1510, 4929, 3441, 269, 8299, 337, 21319, 4152, 3800, 519, 942, 3144, 676, 3280, 6329, 547, 2951, 998, 513, 1570, 267, 3246, 1344, 827, 11098, 543, 20924, 269, 30521, 4919, 4152, 3096, 2473, 17530, 547, 3713, 4835, 12889, 780, 4322, 2409, 4125, 1950, 6310, 9273, 543, 12496, 547, 3313, 1570, 3601, 8308, 780, 1012, 476, 280, 269, 10390, 692, 763, 6128, 540, 4070, 2326, 4152, 1106, 519, 5748, 540, 4702, 3664, 538, 519, 4070, 2872, 269, 1635, 1620, 543, 7311, 519, 6310, 3741, 5941, 538, 713, 2376, 267, 8030, 543, 3173, 666, 2708, 519, 2623, 267, 4222, 267, 543, 15006, 540, 2326, 267, 4180, 519, 3106, 543, 15325, 540, 3710, 3889, 780, 5804, 2566, 543, 8833, 2079, 547, 21052, 4152, 543, 6405, 4222, 9273, 267, 6128, 4249, 513, 11358, 1909, 538, 2326, 4152, 267, 7175, 5483, 1374, 267, 2298, 1852, 267, 543, 519, 13120, 540, 4070, 2029, 269, 0, 26473, 652, 513, 1289, 1394, 692, 8340, 519, 2138, 1308, 900, 325, 538, 513, 6806, 8520, 13235, 291, 269, 8382, 2501, 856, 547, 581, 476, 273, 305, 29669, 269, 594, 723, 1079, 22027, 769, 621, 781, 1523, 269, 476, 272, 264, 1934, 1946, 649, 616, 12719, 519, 900, 325, 676, 8840, 519, 8520, 883, 1079, 30556, 3079, 540, 6236, 2500, 3259, 547, 581, 476, 271, 2094, 621, 568, 513, 6806, 8520, 286, 476, 273, 264, 538, 519, 476, 273, 526, 4137, 7923, 2630, 2243, 4137, 649, 616, 6031, 602, 900, 325, 13251, 538, 476, 273, 526, 8520, 568, 476, 271, 2094, 13441, 998, 621, 568, 3586, 269, 4208, 649, 616, 711, 6236, 713, 2013, 538, 713, 2243, 269, 594, 7662, 596, 547, 2626, 1250, 891, 476, 273, 22027, 538, 1469, 267, 865, 602, 1250, 1523, 3587, 2312, 454, 16485, 539, 676, 887, 327, 527, 1090, 534, 9340, 276, 1923, 476, 1428, 3057, 267, 476, 1708, 272, 267, 476, 5400, 281, 3066, 281, 6751, 454, 15290, 513, 8520, 1500, 540, 10647, 5911, 568, 6410, 538, 513, 3148, 540, 6419, 2361, 2073, 649, 1205, 13251, 15444, 293, 661, 538, 519, 8520, 454, 3147, 1800, 547, 10787, 611, 599, 781, 1876, 540, 15632, 607, 4330, 676, 519, 1739, 3830, 780, 292, 815, 910, 323, 394, 355, 7933, 339, 1741, 476, 9982, 27401, 1862, 263, 272, 2020, 8489, 3852, 355, 568, 13441, 540, 6419, 2361, 8429, 998, 1858, 589, 540, 8520, 865, 602, 1109, 3852, 355, 815, 630, 645, 1109, 9943, 589, 3738, 952, 645, 568, 13441, 5860, 540, 6419, 2361, 780, 13420, 566, 630, 272, 264, 2829, 602, 9588, 540, 13251, 15444, 293, 568, 2047, 14354, 547, 2557, 540, 1689, 540, 13441, 540, 6419, 2361, 454, 10139, 532, 998, 1858, 540, 8520, 780, 2252, 13441, 540, 6419, 2361, 1109, 4679, 2073, 1287, 13251, 15444, 293, 568, 2942, 16317, 2252, 13441, 540, 6419, 2361, 1109, 11081, 2073, 1287, 13251, 15444, 293, 568, 27082, 557, 16317, 2252, 513, 9764, 8520, 540, 10647, 5911, 679, 564, 3464, 610, 608, 1080, 538, 513, 7833, 6419, 2361, 3148, 31377, 6533, 13251, 15444, 293, 538, 519, 8520, 568, 5462, 607, 5205, 692, 9982, 263, 273, 994, 17798, 538, 7833, 6419, 2361, 2073, 13251, 15444, 293, 568, 2047, 14354, 547, 2557, 540, 1689, 540, 1858, 602, 454, 1478, 331, 2355, 609, 13441, 540, 6419, 2361, 780, 2690, 513, 9764, 8520, 2073, 9819, 540, 2557, 540, 1689, 540, 1858, 20718, 13441, 540, 6419, 2361, 568, 1360, 2352, 563, 7712, 13251, 15444, 293, 5673, 1152, 593, 1858, 543, 568, 967, 788, 2989, 550, 540, 3259, 540, 5911, 2073, 9764, 8520, 568, 1226, 730, 547, 454, 320, 4009, 8520, 602, 814, 1482, 1858, 540, 9764, 8520, 1547, 634, 2427, 540, 6697, 4009, 8520, 568, 7229, 607, 5205, 692, 320, 273, 815, 12631, 681, 273, 1741, 610, 1741, 513, 815, 630, 20734, 11027, 3738, 681, 692, 763, 1184, 540, 3478, 13251, 15444, 293, 267, 950, 513, 4009, 8520, 568, 6410, 538, 7833, 6419, 2361, 568, 4330, 2630, 692, 2691, 4009, 8520, 13788, 538, 6419, 2361, 3148, 2073, 607, 3254, 538, 1657, 4137, 2073, 851, 540, 1858, 540, 8520, 602, 454, 523, 743, 4680, 519, 13441, 540, 6419, 2361, 4679, 269, 9747, 607, 829, 552, 336, 333, 15301, 273, 264, 2073, 2942, 15444, 293, 568, 13251, 538, 4009, 8520, 4586, 20118, 267, 950, 4009, 8520, 608, 1080, 856, 540, 1109, 6419, 2361, 3148, 2073, 1109, 851, 540, 1858, 540, 8520, 602, 11700, 4680, 519, 13441, 540, 454, 332, 8568, 2361, 11081, 269, 9747, 693, 519, 942, 540, 14827, 267, 2318, 15444, 293, 568, 13251, 538, 4009, 8520, 780, 2691, 519, 4009, 8520, 568, 4628, 3330, 519, 6419, 2361, 267, 972, 568, 1100, 1689, 538, 6419, 13441, 543, 8754, 13251, 15444, 293, 568, 4642, 780, 300, 1725, 3363, 540, 13251, 15444, 293, 568, 7229, 607, 5205, 692, 933, 1205, 689, 552, 336, 333, 269, 630, 273, 264, 1109, 2073, 1109, 661, 815, 1109, 645, 6398, 630, 323, 288, 7933, 339, 264, 1109, 815, 645, 6398, 513, 6398, 13005, 7933, 339, 1109, 815, 1109, 289, 6398, 513, 6398, 642, 692, 3602, 642, 568, 3432, 540, 8520, 3350, 16317, 5785, 5785, 7042, 263, 272, 264, 634, 8520, 568, 711, 7745, 883, 1079, 30556, 547, 1205, 13251, 15444, 293, 269, 1109, 1306, 3254, 538, 4137, 2073, 950, 8520, 13788, 692, 332, 8568, 2361, 3148, 267, 13441, 5860, 540, 6419, 2361, 4679, 609, 2463, 547, 942, 543, 602, 28901, 2942, 15444, 293, 16317, 20118, 950, 519, 8520, 608, 1080, 6419, 2361, 3148, 2073, 13441, 5860, 11081, 543, 649, 1205, 2318, 15444, 293, 16317, 21920, 540, 8520, 1281, 711, 1404, 1022, 1909, 547, 1205, 13251, 15444, 293, 1152, 1858, 540, 8520, 6927, 780, 263, 273, 264, 1879, 519, 8520, 568, 4625, 3330, 6419, 2361, 3148, 267, 3350, 540, 8520, 1281, 711, 1711, 1689, 538, 6419, 13441, 780, 17798, 267, 952, 972, 568, 1100, 1689, 538, 6419, 13441, 2073, 1287, 1100, 13251, 15444, 293, 4586, 1607, 568, 1360, 1454, 2808, 1247, 30228, 519, 13251, 15444, 293, 1813, 547, 3350, 540, 8520, 1500, 540, 10647, 5911, 454, 514, 6419, 2361, 269, 8641, 540, 13251, 15444, 293, 3254, 538, 4137, 6920, 602, 13251, 15444, 293, 568, 4642, 267, 950, 519, 8520, 568, 3001, 454, 1231, 728, 7833, 6419, 2361, 3148, 780, 9172, 26833, 676, 774, 12011, 26196, 1690, 534, 918, 1923, 476, 1626, 3057, 267, 476, 1708, 272, 267, 476, 1556, 281, 4029, 281, 7537, 692, 1012, 10417, 27678, 692, 20911, 4953, 683 ]

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

[ 729, 513, 1762, 16027, 945, 1185, 5063, 15110, 1200, 22516, 781, 2244, 267, 543, 1352, 3576, 1390, 11348, 538, 14637, 519, 7031, 602, 1131, 2844, 1200, 2146, 269, 1809, 2221, 267, 1945, 8604, 1055, 269, 6736, 1200, 1655, 3646, 267, 4986, 8604, 547, 1332, 538, 713, 1880, 15429, 540, 3618, 780, 2026, 1352, 11432, 1229, 519, 1966, 267, 606, 14542, 5639, 13264, 998, 519, 16563, 269, 834, 16352, 8373, 12482, 27880, 6743, 909, 547, 1294, 606, 2025, 812, 7555, 1354, 1200, 267, 10709, 532, 8185, 593, 513, 28594, 541, 1194, 11308, 5234, 269, 1261, 20595, 512, 13593, 9660, 543, 513, 10599, 1229, 11058, 15504, 1970, 936, 1010, 4064, 267, 855, 972, 729, 513, 1000, 30257, 538, 1010, 22401, 602, 6700, 646, 6785, 811, 982, 646, 1577, 593, 780, 257, 8005, 616, 596, 8119, 8861, 4280, 2112, 1176, 780, 257, 9617, 1289, 803, 6196, 3752, 2437, 519, 24928, 14452, 269, 834, 4517, 594, 1522, 581, 2111, 547, 948, 596, 856, 3010, 3891, 695, 4428, 1194, 6251, 267, 2695, 520, 1154, 1524, 22290, 8861, 547, 4983, 519, 3046, 1066, 3037, 269, 2991, 513, 4090, 267, 646, 695, 809, 1010, 2212, 8909, 569, 269, 834, 2791, 4312, 3893, 3054, 930, 1483, 13542, 1934, 267, 4413, 344, 269, 901, 513, 514, 1405, 1100, 8723, 13897, 1107, 621, 781, 1044, 17400, 539, 676, 519, 10971, 2933, 15323, 27880, 6659, 606, 32071, 992, 269, 834, 290, 2720, 539, 12482, 24874, 3752, 21330, 18205, 569, 269, 834, 8133, 8197, 269, 7982, 950, 707, 6264, 11985, 1101, 3323, 11489, 514, 262, 891, 4610, 267, 646, 25653, 909, 1474, 996, 514, 262, 646, 12582, 1405, 723, 910, 606, 3504, 31074, 12617, 2620, 9944, 519, 2666, 269, 898, 606, 13499, 519, 14326, 267, 543, 1631, 789, 4465, 1405, 1577, 4376, 1332, 1934, 3010, 2690, 513, 4090, 267, 8861, 2808, 14962, 532, 519, 2025, 812, 781, 1913, 607, 6071, 22530, 819, 269, 1809, 1287, 1586, 267, 1352, 7948, 1405, 20912, 519, 2963, 1318, 538, 4395, 540, 1200, 269, 1403, 972, 2731, 729, 513, 31169, 593, 713, 2244, 267, 1352, 2877, 547, 1265, 513, 1259, 547, 2736, 621, 780, 21982, 513, 2620, 7362, 267, 1352, 5828, 547, 3068, 6196, 3752, 269, 834, 1432, 798, 649, 991, 547, 798, 12482, 288, 3500, 12837, 3262, 2066, 519, 2025, 812, 781, 649, 9312, 2934, 269, 834, 25105, 267, 594, 6785, 596, 941, 519, 1318, 1268, 585, 713, 2816, 269, 1548, 649, 991, 568, 513, 2370, 3787, 540, 1142, 1826, 540, 3037, 689, 1472, 519, 11782, 1107, 9995, 344, 14606, 267, 22110, 14606, 267, 10753, 600, 14606, 267, 1256, 17667, 14606, 952, 596, 666, 1265, 1022, 3010, 27880, 1025, 22075, 538, 9983, 269, 834, 6546, 781, 782, 12482, 257, 11039, 29389, 6196, 3752, 11688, 18469, 269, 834, 2467, 1522, 581, 835, 824, 3364, 269, 1411, 1294, 267, 891, 11934, 5749, 1405, 1175, 5820, 1107, 789, 2099, 1114, 3344, 540, 1272, 3294, 269, 3962, 835, 814, 922, 1378, 9342, 543, 12755, 267, 543, 952, 649, 1616, 547, 2736, 519, 31169, 267, 649, 3513, 723, 547, 1451, 875, 547, 3666, 873, 3010, 7021, 519, 1985, 1906, 2395, 267, 8861, 14612, 2484, 543, 2647, 267, 11018, 5439, 540, 1169, 2186, 540, 3037, 1352, 1223, 1265, 269, 13966, 519, 1259, 267, 1352, 1558, 1004, 689, 782, 15211, 540, 1272, 1107, 6705, 10010, 1996, 10980, 267, 4070, 4600, 2679, 1007, 5321, 593, 556, 13094, 2244, 267, 3744, 4974, 519, 13655, 540, 519, 2067, 1158, 269, 1656, 7444, 855, 15983, 267, 1352, 3459, 547, 1174, 1018, 6196, 3752, 5921, 827, 4466, 3666, 780, 2691, 1352, 8120, 547, 1200, 3484, 267, 1352, 6404, 519, 11934, 1927, 2687, 547, 519, 2025, 812, 781, 5528, 267, 2870, 513, 3638, 267, 4158, 6219, 602, 24421, 539, 609, 1648, 269, 1306, 1352, 23953, 621, 5196, 519, 17400, 539, 3618, 267, 1352, 5433, 513, 10006, 540, 1379, 1330, 28410, 998, 1200, 15532, 1107, 513, 4276, 711, 1152, 547, 519, 2244, 855, 849, 547, 519, 9118, 2729, 602, 31030, 593, 621, 780, 4263, 2063, 267, 519, 31169, 729, 7745, 269, 15867, 1186, 17708, 1540, 2899, 811, 267, 11423, 519, 4610, 609, 7524, 4778, 543, 18932, 2208, 269, 1656, 1498, 8861, 6785, 1352, 1869, 1185, 1454, 547, 1451, 827, 8105, 630, 663, 1272, 1070, 1352, 5185, 1142, 4161, 609, 17105, 8990, 267, 11461, 676, 519, 7326, 1352, 1185, 6591, 1282, 1200, 3460, 780, 3719, 1034, 11932, 267, 1352, 2760, 29709, 519, 3992, 6196, 3752, 1185, 6026, 1200, 281, 2334, 3006, 267, 519, 1883, 547, 6061, 938, 2042, 6013, 711, 538, 7947, 532, 519, 1919, 602, 1118, 721, 1114, 267, 855, 2864, 8508, 873, 1107, 1565, 875, 547, 3666, 938, 9342, 543, 12755, 2394, 649, 1711, 1945, 5963, 9058, 269, 0, 2237, 513, 8903, 1650, 1644, 547, 519, 1739, 1257, 6256, 912, 29205, 596, 4766, 519, 1114, 2010, 540, 3037, 1336, 538, 3345, 3013, 888, 296, 1810, 1405, 723, 2123, 2833, 610, 11994, 269, 2705, 267, 1775, 666, 1683, 596, 609, 2489, 1344, 593, 519, 2010, 540, 3037, 1336, 538, 5087, 13314, 780, 11004, 616, 1896, 2010, 540, 3037, 1336, 538, 5087, 13314, 267, 543, 789, 616, 9286, 1759, 593, 741, 2168, 543, 3114, 3601, 269, 1934, 616, 513, 1906, 1455, 2010, 1384, 272, 269, 22501, 3037, 281, 22501, 3037, 568, 1769, 543, 28368, 3533, 269, 621, 568, 7768, 540, 1804, 13355, 5536, 267, 1818, 621, 24338, 543, 3850, 2011, 547, 32694, 11884, 780, 273, 269, 10036, 3037, 281, 10036, 3037, 568, 1500, 909, 540, 1507, 267, 17401, 14095, 5536, 602, 11677, 1216, 543, 5567, 269, 621, 11148, 547, 581, 15417, 855, 666, 581, 4101, 547, 960, 609, 543, 8963, 14605, 780, 274, 269, 3138, 600, 3037, 281, 3138, 600, 3037, 568, 513, 7848, 540, 5070, 267, 521, 2830, 267, 543, 10036, 538, 17114, 602, 1450, 621, 547, 581, 1134, 1673, 20995, 267, 15417, 267, 543, 2653, 547, 960, 609, 780, 275, 269, 5214, 3037, 281, 5214, 3037, 568, 7768, 6140, 540, 2030, 1570, 543, 568, 3335, 1336, 538, 19126, 610, 2127, 609, 1164, 2157, 540, 5214, 2339, 563, 10640, 763, 1650, 3085, 1406, 991, 547, 2446, 3388, 538, 519, 6256, 267, 946, 621, 1175, 585, 6667, 543, 581, 3860, 2336, 763, 1650, 1058, 6451, 519, 1739, 2609, 912, 268, 15511, 281, 519, 1650, 1590, 4183, 693, 2547, 835, 6209, 5188, 602, 8761, 1915, 3178, 267, 8441, 519, 4729, 267, 610, 28807, 513, 2629, 4062, 540, 519, 9814, 3097, 268, 21624, 4798, 281, 2263, 4798, 22298, 609, 513, 9921, 5304, 267, 971, 607, 5837, 13509, 267, 16650, 14511, 267, 2123, 7004, 267, 610, 519, 4539, 540, 2250, 3527, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 834, 763, 3141, 8288, 1970, 538, 519, 6607, 257, 610, 834, 1103, 519, 27452, 1396, 2580, 581, 3860, 269, 0, 6092, 5149, 281, 15570, 810, 11219, 17702, 2782, 630, 5002, 275, 268, 5002, 276, 2020, 7072, 912, 1103, 713, 1576, 1770, 267, 649, 786, 3460, 1394, 538, 942, 547, 2263, 835, 540, 519, 1034, 1271, 7526, 538, 2413, 7489, 1686, 910, 519, 15570, 810, 11219, 17702, 2782, 602, 3576, 1747, 1063, 476, 5002, 275, 543, 476, 5002, 276, 269, 1411, 1522, 4898, 1946, 621, 781, 1898, 547, 1174, 713, 3140, 2680, 269, 4270, 267, 4952, 952, 596, 941, 1565, 737, 26147, 282, 9327, 1405, 6616, 827, 2250, 18544, 945, 19117, 19831, 6575, 2553, 948, 8300, 707, 7279, 286, 6684, 267, 1620, 875, 3567, 7153, 607, 513, 2101, 1158, 1379, 1310, 9396, 908, 6576, 786, 2709, 3407, 4030, 883, 519, 6384, 540, 2518, 6214, 543, 13137, 269, 1924, 1577, 781, 4685, 1318, 538, 2439, 4089, 476, 272, 281, 17553, 519, 8609, 454, 3528, 519, 3735, 476, 5197, 271, 338, 267, 3567, 1185, 6385, 9927, 3294, 689, 513, 32540, 2486, 883, 606, 4853, 1242, 4182, 11235, 547, 4228, 922, 3310, 3564, 922, 10665, 269, 2311, 519, 1482, 942, 267, 6576, 8179, 547, 8831, 922, 3914, 2066, 29036, 5607, 267, 17935, 547, 5150, 1569, 547, 16788, 543, 2200, 2059, 519, 7414, 23795, 269, 1452, 12721, 27606, 1305, 519, 3942, 585, 1761, 30925, 780, 4089, 476, 273, 281, 590, 1706, 802, 26850, 1107, 15486, 540, 519, 18366, 454, 307, 5014, 5337, 1243, 950, 1312, 2477, 9788, 6811, 936, 2494, 577, 22202, 543, 9705, 267, 4525, 3638, 538, 2067, 2200, 543, 21825, 4092, 693, 519, 2295, 540, 27040, 5607, 269, 2991, 1896, 20320, 14286, 267, 22195, 936, 16749, 4070, 3785, 2968, 519, 3803, 8141, 3056, 909, 547, 519, 12176, 540, 2112, 780, 4089, 476, 274, 281, 1849, 1662, 540, 25315, 753, 1107, 11683, 645, 25114, 1299, 5695, 940, 18745, 454, 8601, 1373, 856, 333, 3518, 1229, 543, 2348, 17071, 17189, 4222, 3379, 547, 6576, 267, 3567, 10268, 7415, 28365, 11958, 4800, 2429, 519, 2112, 269, 5565, 2565, 12959, 3989, 519, 18330, 540, 713, 4655, 281, 519, 11135, 540, 5800, 14880, 543, 17578, 2313, 9874, 26463, 780, 265, 11135, 540, 5800, 14880, 630, 5002, 275, 2567, 10318, 1441, 711, 547, 1577, 6576, 1852, 7580, 16788, 899, 5800, 14880, 267, 519, 5545, 26010, 9250, 513, 9983, 4323, 267, 524, 23774, 1782, 519, 6739, 18239, 546, 18088, 972, 269, 3683, 1633, 20146, 2471, 4553, 267, 9434, 5176, 3670, 3275, 1354, 9991, 883, 5545, 3946, 563, 265, 17578, 2313, 9874, 26463, 630, 5002, 276, 2567, 3117, 30872, 835, 540, 519, 6574, 24984, 538, 5545, 4108, 1686, 267, 519, 15875, 5545, 13108, 1232, 13846, 519, 6967, 6739, 27397, 18307, 564, 679, 8905, 547, 12927, 741, 635, 10232, 538, 519, 7414, 269, 901, 11802, 20177, 3567, 781, 17282, 538, 519, 3148, 543, 6825, 513, 7432, 1448, 538, 519, 2112, 780, 4089, 476, 275, 281, 2991, 4118, 1299, 8177, 454, 16729, 922, 14710, 267, 6576, 6444, 3567, 781, 16857, 2924, 936, 9705, 543, 2694, 540, 2494, 577, 22202, 998, 519, 15521, 540, 623, 2176, 17625, 269, 2859, 11932, 267, 713, 17636, 4396, 1881, 3567, 781, 2990, 607, 513, 23773, 3196, 538, 3486, 1894, 267, 4259, 519, 30675, 585, 2104, 4497, 906, 5473, 7489, 6082, 780, 6962, 912, 18698, 519, 15570, 810, 11219, 17702, 2782, 2636, 721, 547, 5490, 4514, 883, 519, 4241, 14960, 540, 2518, 1379, 10593, 543, 23786, 2994, 269, 898, 5713, 607, 513, 15266, 547, 1480, 6043, 267, 5647, 267, 543, 8990, 1247, 10223, 519, 2956, 540, 4509, 4708, 9624, 20849, 4690, 269, 1306, 14971, 12206, 267, 7421, 891, 2621, 2337, 22962, 938, 5380, 267, 5807, 513, 1732, 7071, 540, 938, 7104, 2250, 543, 11121, 15826, 5717, 827, 4207, 2152, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 5545, 2782, 609, 3624, 729, 513, 4655, 1063, 3567, 543, 3624, 1282, 519, 476, 4350, 271, 338, 543, 476, 3707, 271, 338, 269, 901, 2112, 1185, 1713, 4539, 538, 5935, 519, 2520, 641, 29176, 540, 5101, 5607, 543, 6038, 3366, 547, 3567, 779, 13567, 540, 1454, 540, 3624, 563, 763, 2112, 3459, 538, 476, 4350, 278, 609, 519, 3057, 1723, 2717, 334, 15167, 5549, 1211, 543, 15583, 730, 883, 513, 2407, 8397, 4655, 267, 6353, 676, 3567, 779, 10728, 7269, 543, 10792, 2126, 540, 4457, 21127, 269, 634, 4457, 4187, 267, 3366, 676, 519, 2817, 626, 2229, 543, 519, 19797, 9549, 267, 530, 3042, 513, 27615, 9934, 1368, 20482, 8759, 2112, 1996, 519, 5545, 4229, 563, 763, 4655, 8694, 538, 476, 3707, 276, 609, 3567, 779, 21704, 547, 519, 20466, 7060, 267, 16287, 513, 7432, 1448, 538, 3624, 779, 4339, 585, 7115, 543, 519, 22638, 556, 652, 28344, 618, 540, 922, 16285, 563, 763, 17959, 2986, 634, 5545, 2782, 2060, 3624, 454, 763, 8129, 540, 519, 5545, 2782, 2060, 3624, 666, 581, 14360, 1394, 547, 519, 1950, 2797, 2916, 538, 519, 2038, 476, 736, 628, 2540, 269, 634, 8082, 1063, 519, 1079, 6082, 1185, 922, 5072, 538, 1883, 2621, 971, 607, 519, 590, 3626, 11219, 17702, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 305, 639, 810, 11219, 17702, 2782, 630, 5002, 275, 268, 5002, 276, 17983, 607, 851, 540, 834, 19615, 1315, 5607, 1315, 3567, 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 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1482, 607, 519, 1576, 1448, 3446, 289, 895, 2456, 5044, 538, 519, 8848, 3758, 454, 258, 855, 10736, 547, 21159, 269, 3097, 2745, 27719, 333, 3086, 609, 519, 8848, 3758, 856, 540, 519, 1259, 267, 1577, 781, 5965, 930, 3446, 6302, 4799, 2745, 834, 5472, 4484, 9344, 538, 713, 1576, 616, 5462, 676, 2949, 21159, 269, 5981, 786, 4840, 2745, 834, 326, 633, 596, 3446, 6302, 538, 2474, 540, 1576, 2798, 267, 14322, 1100, 929, 528, 919, 269, 1809, 538, 4840, 2745, 834, 4650, 547, 1118, 519, 1482, 6302, 4019, 547, 1053, 609, 929, 528, 919, 267, 649, 786, 1101, 4840, 2745, 834, 935, 3200, 519, 6302, 883, 21159, 269, 898, 568, 891, 21159, 602, 786, 581, 946, 4840, 2745, 834, 1729, 3313, 3025, 781, 4484, 3446, 267, 929, 28672, 610, 711, 4799, 2745, 834, 4840, 13425, 25911, 766, 269, 7093, 335, 294, 10232, 263, 14079, 321, 323, 903, 994, 2745, 834, 4840, 2745, 834, 22706, 6302, 616, 1631, 5423, 4799, 604, 711, 8746, 281, 2638, 514, 815, 6151, 17750, 19629, 333, 295, 527, 2132, 547, 3136, 269, 1403, 1945, 781, 4636, 267, 4497, 519, 605, 31547, 4781, 609, 6513, 4211, 1701, 9239, 258, 32114, 782, 568, 15528, 693, 713, 1448, 267, 1577, 781, 1224, 538, 519, 6151, 2875, 1239, 269, 634, 454, 258, 1592, 1412, 11907, 262, 568, 519, 6151, 1239, 563, 2745, 27719, 333, 2060, 602, 856, 540, 519, 1259, 267, 1577, 781, 1205, 602, 2875, 1239, 256, 1284, 786, 1930, 519, 6151, 4840, 2745, 834, 14079, 1433, 3758, 689, 536, 290, 12973, 610, 8726, 543, 1224, 602, 883, 513, 9649, 5044, 4799, 11907, 17342, 2639, 3650, 992, 17342, 2639, 2745, 834, 4840, 17572, 22473, 269, 7476, 305, 1177, 10574, 16597, 267, 3650, 992, 994, 2745, 834, 4840, 2745, 834, 10817, 612, 1018, 286, 9906, 1239, 568, 1224, 538, 543, 5423, 30882, 604, 711, 8746, 281, 2638, 514, 815, 6151, 17750, 19629, 333, 295, 527, 2132, 547, 3136, 269, 1403, 1945, 781, 4636, 267, 4497, 519, 605, 31547, 4781, 609, 6513, 4211, 1701, 9239, 258, 8921, 1900, 568, 547, 1224, 538, 519, 19594, 293, 9711, 6119, 543, 10544, 741, 3446, 1826, 454, 18196, 17342, 2639, 11133, 10743, 815, 1496, 271, 267, 271, 267, 271, 2639, 2745, 19629, 333, 3767, 1577, 781, 1413, 693, 519, 19594, 293, 9711, 6119, 269, 1284, 3513, 1294, 799, 1053, 1616, 547, 1491, 5602, 2745, 2891, 1492, 1362, 623, 23259, 610, 24700, 23528, 2745, 834, 4840, 17572, 22473, 269, 7476, 22706, 13911, 16597, 267, 18196, 267, 11133, 10743, 994, 2745, 834, 4840, 2745, 2891, 10498, 267, 782, 519, 1793, 871, 619, 616, 1631, 20039, 585, 23528, 604, 711, 8746, 281, 2638, 514, 815, 6151, 17750, 19629, 333, 295, 527, 2132, 547, 3136, 269, 1403, 1945, 781, 4636, 267, 4497, 519, 605, 31547, 4781, 609, 6513, 4211, 1701, 9239, 258, 8921, 568, 547, 9192, 891, 8638, 547, 1118, 519, 4487, 3446, 1504, 3758, 454, 2745, 19629, 333, 3086, 649, 991, 547, 798, 930, 960, 269, 2913, 781, 1118, 519, 3446, 1504, 269, 3371, 649, 786, 4020, 5602, 2745, 2891, 320, 3446, 1433, 7127, 585, 1169, 2875, 538, 519, 19594, 293, 9711, 6119, 269, 1411, 1058, 3533, 5602, 2745, 2891, 19972, 998, 782, 519, 13366, 602, 616, 9102, 1310, 713, 5048, 269, 8409, 13366, 5602, 2745, 2891, 732, 4408, 689, 536, 290, 12973, 855, 616, 711, 538, 519, 4013, 17459, 289, 19594, 293, 9711, 6119, 23528, 2745, 2891, 6624, 540, 891, 13366, 616, 4440, 2912, 6002, 267, 8436, 267, 543, 1018, 2254, 269, 1809, 930, 5602, 2745, 2891, 332, 697, 581, 1053, 945, 723, 1044, 7432, 538, 10467, 616, 711, 2965, 19801, 5602, 2745, 2891, 514, 519, 1576, 32405, 326, 1504, 815, 11713, 13425, 25911, 766, 8160, 820, 22706, 9349, 16597, 267, 18196, 267, 326, 1504, 994, 2745, 19629, 333, 22706, 1504, 568, 1631, 1500, 256, 7937, 9493, 1695, 2807, 315, 333, 5602, 23437, 1239, 267, 2010, 454, 604, 711, 8746, 281, 2638, 514, 815, 6151, 17750, 19629, 333, 295, 527, 2132, 547, 3136, 269, 1403, 1945, 781, 4636, 267, 4497, 519, 605, 31547, 4781, 609, 6513, 4211, 1701, 9239, 11133, 6597, 815, 7003, 14116, 1504, 994, 11133, 10743, 314, 273, 316, 815, 1003, 6597, 454, 12195, 710, 4590, 2745, 834, 3528, 519, 1259, 267, 972, 616, 834, 1341, 1193, 16325, 6597, 264, 1341, 834, 1053, 538, 519, 1362, 4799, 2745, 834, 8170, 891, 267, 834, 1341, 1193, 16325, 10743, 314, 271, 8079, 1341, 834, 616, 19801, 538, 595, 1015, 4799, 2745, 834, 8170, 891, 267, 834, 1341, 1193, 16325, 10743, 314, 272, 8079, 1341, 834, 616, 19801, 538, 700, 261, 306, 26142, 333, 4840, 12195, 710, 4590, 604, 711, 8746, 281, 2638, 514, 815, 6151, 17750, 19629, 333, 295, 527, 2132, 547, 3136, 269, 1403, 1945, 781, 4636, 267, 4497, 519, 605, 31547, 4781, 609, 6513, 4211, 1701, 9239, 258, 901, 568, 513, 1434, 4090, 585, 513, 7254, 640, 2638, 563, 604, 711, 263, 20813, 1211, 2567, 6744, 25911, 766, 269, 22923, 13425, 14116, 1504, 267, 11133, 6597, 9239, 258, 3767, 649, 666, 6368, 798, 930, 9273, 454, 258, 1280, 1142, 7127, 538, 519, 575, 1504, 267, 649, 3513, 12337, 6780, 9103, 1023, 267, 7688, 9103, 1023, 267, 3092, 269, 543, 454, 258, 6460, 547, 1576, 2798, 269, 8528, 258, 4642, 13366, 616, 585, 554, 342, 267, 7688, 267, 544, 339, 267, 22475, 267, 838, 267, 3803, 267, 1576, 533, 1206, 267, 3193, 1576, 533, 1206, 454, 258, 5044, 568, 585, 1022, 929, 528, 919, 602, 616, 2944, 454, 258, 15937, 4484, 7436, 952, 519, 6060, 729, 16924, 936, 337, 5200, 3097, 6339, 306, 13990, 815, 1496, 1496, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 2437, 311, 2580, 26514, 2437, 301, 19312, 585, 1775, 538, 2039, 16325, 6597, 264, 476, 6540, 12195, 710, 4590, 2745, 2891, 5591, 1577, 781, 798, 930, 9273, 23528, 2745, 2891, 15612, 908, 1576, 2798, 689, 3446, 1504, 907, 23528, 1721, 1775, 538, 2039, 263, 271, 267, 11133, 6597, 2567, 12433, 5861, 6847, 32622, 14116, 1504, 5157, 3910, 6339, 306, 13990, 5157, 7481, 2745, 2891, 1862, 6092, 18745, 7229, 269, 29626, 4484, 9344, 907, 23528, 1721, 1775, 538, 2039, 263, 271, 267, 11133, 6597, 2567, 12433, 269, 4131, 614, 294, 10232, 3799, 564, 306, 13990, 5157, 3910, 12072, 301, 1868, 994, 2745, 2891, 1862, 14594, 24110, 7229, 269, 8074, 602, 649, 786, 711, 6460, 9344, 547, 623, 23259, 610, 24700, 5602, 2745, 2891, 2863, 559, 649, 1820, 519, 3803, 6119, 585, 19594, 293, 9711, 269, 7102, 3118, 267, 1631, 7311, 936, 337, 1938, 907, 23528, 24280, 6993, 653, 569, 7021, 337, 1938, 3799, 564, 306, 13990, 267, 326, 1504, 994, 2745, 2891, 1862, 3683, 337, 1938, 4294, 269, 17677, 4211, 515, 9535, 547, 1118, 2386, 782, 1053, 723, 513, 4484, 3446, 907, 23528, 13425, 25911, 766, 5861, 515, 1188, 4131, 1562, 14116, 1504, 267, 6339, 306, 13990, 994, 2745, 2891, 1862, 543, 1862, 543, 256, 3267, 543, 30314, 23099, 24110, 7229, 256, 315, 333, 5602, 604, 711, 8746, 281, 2638, 514, 815, 6151, 17750, 19629, 333, 295, 527, 2132, 547, 3136, 269, 1403, 1945, 781, 4636, 267, 4497, 519, 605, 31547, 4781, 609, 6513, 4211, 1701, 2020, 692, 258, 3371, 568, 1141, 519, 717, 21397, 6238, 269, 898, 781, 513, 1247, 1413, 602, 568, 1152, 608, 1243, 950, 596, 1616, 547, 14827, 454, 258, 519, 1982, 563, 12195, 710, 4590, 2745, 2891, 10498, 267, 649, 2811, 2944, 269, 2913, 781, 1413, 693, 519, 1239, 1701, 2020, 294, 21397, 269, 19530, 302, 6877, 4590, 6112, 6936, 912, 453, 12195, 710, 4590, 13537, 19629, 333, 8702, 547, 519, 1292, 10624, 23528, 453, 4046, 815, 6151, 17750, 2891, 1432, 1058, 649, 798, 286, 281, 19515, 14851, 711, 1365, 18622, 2897, 2891, 834, 2437, 257, 2187, 453, 453, 258, 9980, 1229, 4986, 563, 453, 13537, 2891, 13911, 744, 547, 1294, 519, 2139, 3681, 23528, 453, 19197, 263, 1022, 3287, 538, 1496, 4046, 269, 21639, 3890, 316, 585, 1535, 538, 18358, 292, 12887, 304, 12887, 12702, 3951, 12887, 13052, 3951, 262, 8079, 476, 2187, 453, 453, 19874, 454, 453, 19197, 263, 1022, 3287, 538, 1496, 4046, 269, 21639, 3890, 316, 585, 1535, 538, 18358, 296, 12887, 2562, 23859, 262, 8079, 476, 2187, 453, 453, 294, 21397, 269, 19530, 14813, 334, 14116, 1504, 267, 6339, 306, 13990, 267, 11133, 10743, 994, 453, 19197, 263, 1022, 3287, 538, 1496, 4046, 269, 21639, 3890, 316, 585, 1535, 538, 18358, 302, 12887, 8008, 16739, 12887, 8008, 3582, 262, 8079, 476, 2187, 453, 453, 294, 21397, 269, 19530, 302, 6877, 4590, 453, 19197, 263, 1022, 3287, 538, 1496, 4046, 269, 21639, 3890, 316, 585, 1535, 538, 18358, 303, 12887, 11266, 19860, 12887, 23813, 2752, 293, 3722, 4811, 262, 8079, 476, 2187, 453, 453, 294, 21397, 269, 19530, 293, 3796, 14116, 1504, 267, 6339, 306, 13990, 994, 453, 19197, 263, 1022, 3287, 538, 1496, 4046, 269, 21639, 3890, 316, 585, 1535, 538, 18358, 306, 12887, 4306, 2969, 306, 12887, 4306, 2969, 262, 8079, 476, 2187, 453, 453, 294, 21397, 269, 19530, 1805, 1846, 14116, 1504, 267, 6339, 306, 13990, 264, 28768, 453, 19197, 263, 1022, 3287, 538, 1496, 4046, 269, 21639, 3890, 316, 585, 1535, 538, 18358, 288, 12887, 3201, 9898, 262, 8079, 476, 2187, 453, 453, 294, 21397, 269, 2704, 614, 30360, 3799, 564, 306, 13990, 267, 326, 1504, 264, 28768, 453, 19197, 263, 1022, 3287, 538, 1496, 4046, 21858, 3890, 314, 271, 4940, 21639, 3890, 316, 585, 1535, 538, 18358, 291, 12887, 291, 3041, 303, 6369, 312, 262, 8079, 476, 2187, 453, 14851, 12759, 263, 4046, 21858, 28829, 3436, 476, 272, 2187, 4848, 14851, 263, 1415, 3287, 538, 1496, 4046, 21858, 3890, 314, 272, 4940, 21639, 3890, 316, 585, 1535, 538, 18358, 302, 12887, 10976, 2207, 305, 22432, 12887, 10976, 2207, 305, 2839, 2464, 262, 8079, 476, 2187, 15235, 453, 294, 21397, 269, 19530, 7021, 337, 1938, 4590, 4848, 453, 19197, 263, 1415, 3287, 538, 1496, 4046, 21858, 3890, 314, 272, 4940, 21639, 3890, 316, 585, 1535, 538, 18358, 303, 12887, 11266, 3036, 12442, 12887, 11266, 3036, 2969, 2464, 262, 8079, 476, 2187, 15235, 453, 294, 21397, 6185, 529, 2452, 303, 2928, 919, 14116, 1504, 267, 6339, 306, 13990, 994, 4848, 453, 19197, 263, 1415, 3287, 538, 1496, 4046, 21858, 3890, 314, 272, 4940, 21639, 3890, 316, 585, 1535, 538, 18358, 305, 12887, 4629, 4306, 2207, 12887, 4629, 302, 4306, 2207, 262, 8079, 476, 2187, 15235, 14851, 263, 4046, 21858, 3890, 314, 272, 4940, 21639, 3890, 2525, 257, 4629, 302, 4306, 2207, 257, 2567, 1820, 19629, 333, 14826, 290, 10813, 298, 302, 302, 302, 302, 302, 256, 315, 333, 14826, 5602, 15235, 453, 294, 21397, 6185, 529, 2452, 305, 8803, 14116, 1504, 267, 6339, 306, 13990, 994, 4848, 453, 19197, 263, 1415, 3287, 538, 1496, 4046, 21858, 3890, 314, 272, 4940, 21639, 3890, 316, 585, 1535, 538, 26240, 330, 1803, 339, 614, 301, 1868, 266, 12072, 301, 1868, 264, 476, 2187, 15235, 453, 294, 21397, 6185, 529, 2452, 4131, 614, 22706, 263, 4046, 21858, 3890, 314, 272, 4940, 21639, 19572, 326, 1504, 267, 6339, 306, 13990, 994, 4848, 453, 19197, 263, 1022, 3287, 538, 1496, 4046, 21858, 3890, 314, 272, 4940, 21639, 3890, 316, 585, 1535, 538, 18358, 313, 12887, 313, 2207, 302, 12887, 313, 2207, 5308, 262, 8079, 476, 2187, 15235, 453, 326, 323, 815, 6151, 17750, 2891, 11767, 513, 7121, 281, 834, 1341, 1193, 3799, 564, 629, 516, 341, 314, 271, 281, 279, 8079, 1341, 834, 2433, 19515, 15235, 453, 326, 323, 815, 575, 323, 18622, 2897, 2891, 834, 2437, 20257, 21639, 4590, 15235, 14851, 263, 575, 323, 538, 2121, 629, 516, 341, 2187, 20930, 453, 294, 21397, 269, 313, 14058, 14116, 1504, 267, 6339, 306, 13990, 267, 326, 323, 269, 21639, 15405, 15235, 28432, 912, 20930, 13537, 2891, 1103, 20777, 7121, 23528, 4848, 28432, 912, 15235, 453, 294, 21397, 6185, 529, 2452, 22923, 263, 4046, 21858, 3890, 314, 272, 3910, 326, 1504, 267, 6339, 306, 13990, 994, 453, 28432, 912, 4848, 13537, 2891, 11514, 2452, 2115, 2789, 7440, 267, 535, 5622, 269, 8347, 1586, 23528, 453, 19197, 263, 1022, 3287, 538, 1496, 4046, 269, 21639, 3890, 316, 585, 1535, 538, 18358, 289, 12887, 289, 16704, 2207, 12887, 289, 16704, 8991, 262, 8079, 476, 2187, 453, 13537, 2891, 4131, 781, 1294, 875, 1082, 1053, 616, 1175, 21183, 540, 15980, 519, 1739, 3446, 23528, 453, 453, 326, 323, 815, 6151, 17750, 2891, 11767, 513, 4484, 3446, 630, 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 ]

[ 16614, 1247, 5807, 5191, 540, 4082, 780, 3086, 1577, 781, 2015, 1776, 9183, 281, 4952, 9683, 513, 2442, 4914, 3377, 3135, 267, 1152, 547, 1265, 856, 602, 1978, 4930, 5749, 1405, 2139, 538, 707, 2197, 1813, 547, 2229, 9993, 269, 6496, 713, 9983, 596, 286, 7756, 2477, 723, 8795, 4031, 3823, 4950, 1569, 543, 24890, 269, 2368, 3494, 1004, 1058, 723, 19727, 24071, 1569, 547, 1022, 1344, 2228, 267, 6466, 1866, 8044, 7182, 1590, 581, 5116, 593, 1808, 2010, 540, 1543, 16363, 5739, 610, 5906, 269, 3414, 4317, 9012, 26291, 267, 649, 4983, 891, 18312, 16752, 543, 2263, 2081, 547, 10880, 513, 3666, 1063, 7863, 3755, 543, 8497, 1930, 2792, 9055, 780, 4131, 781, 3142, 621, 6251, 547, 1753, 269, 6056, 827, 875, 1514, 2923, 4249, 513, 1713, 1909, 1282, 12836, 269, 7971, 5974, 946, 891, 5867, 547, 2671, 741, 5784, 267, 1921, 609, 23466, 267, 543, 20834, 1125, 1489, 269, 1717, 267, 25749, 11044, 267, 30378, 267, 543, 4914, 13779, 666, 849, 2049, 1369, 891, 5691, 5054, 269, 1924, 267, 875, 666, 649, 2327, 14619, 543, 11413, 538, 2797, 11407, 2228, 286, 24356, 4317, 9012, 26291, 2337, 721, 1174, 1761, 3435, 899, 31749, 6042, 593, 2797, 10229, 267, 2799, 3646, 547, 8396, 16995, 3377, 267, 543, 5009, 2318, 2228, 2623, 780, 9961, 1686, 267, 7239, 723, 11179, 9862, 547, 1007, 3029, 540, 2792, 1107, 689, 9275, 1893, 547, 2854, 5931, 267, 1820, 2923, 267, 751, 25393, 344, 267, 5925, 31076, 267, 8613, 267, 543, 1631, 267, 3059, 5121, 269, 3962, 6639, 13120, 814, 4547, 8521, 2189, 2591, 8506, 6297, 7156, 543, 15826, 10350, 269, 1635, 4974, 4317, 9012, 26291, 267, 649, 16491, 6000, 609, 519, 2645, 2877, 547, 6330, 2221, 781, 1950, 3059, 5251, 19100, 543, 31719, 780, 2026, 3742, 5171, 538, 519, 1158, 540, 1514, 2923, 267, 1620, 922, 10350, 2636, 1142, 835, 540, 721, 547, 3565, 9797, 2509, 5935, 938, 7104, 2228, 1995, 269, 8625, 267, 649, 666, 960, 2509, 2679, 10930, 267, 811, 8537, 3059, 2950, 585, 3025, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 295, 8780, 476, 1911, 3201, 272, 23834, 15477, 3201, 25886, 630, 289, 584, 2023, 267, 589, 8094, 14532, 476, 1911, 6227, 476, 10384, 1296, 2066, 519, 8608, 538, 476, 1428, 4374, 269, 634, 1576, 5205, 513, 2596, 26567, 2239, 689, 519, 476, 1724, 628, 2540, 909, 547, 519, 1459, 269, 3776, 1935, 786, 9192, 519, 2518, 543, 519, 2199, 267, 10771, 6476, 543, 3017, 1063, 2053, 543, 4025, 269, 3776, 2101, 4798, 786, 581, 2797, 1949, 267, 4123, 543, 21113, 267, 2686, 13341, 267, 519, 1909, 540, 2021, 543, 4008, 267, 543, 519, 4473, 543, 2887, 540, 23693, 4534, 782, 538, 519, 2796, 540, 513, 2518, 5943, 563, 6344, 3201, 272, 661, 17129, 6789, 296, 3198, 595, 4353, 6579, 22003, 25972, 630, 2419, 578, 267, 918, 8094, 306, 877, 1306, 661, 3201, 290, 476, 6344, 454, 1607, 1576, 12857, 519, 3982, 607, 1134, 607, 3838, 2093, 543, 5238, 540, 519, 2101, 12977, 538, 5101, 5607, 281, 3624, 543, 3567, 269, 1284, 786, 1445, 593, 1079, 3140, 3157, 269, 3689, 267, 519, 1818, 540, 513, 2686, 1062, 540, 5101, 5607, 1354, 519, 13524, 2540, 269, 1284, 786, 1865, 875, 3624, 7960, 883, 513, 2101, 10340, 538, 5607, 267, 2870, 10058, 20748, 267, 1514, 267, 2797, 267, 543, 2804, 21272, 602, 3357, 547, 5581, 3624, 267, 543, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 12892, 9012, 26291, 257, 607, 851, 540, 834, 303, 27773, 13316, 1315, 11572, 6713, 1315, 9012, 1299, 5769, 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 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 570, 11839, 267, 3627, 16399, 267, 543, 12246, 3570, 6742, 710, 345, 4211, 27475, 269, 630, 1220, 279, 1040, 23206, 543, 4656, 538, 3942, 9059, 281, 7432, 15361, 883, 1382, 269, 7186, 17352, 29249, 269, 8222, 281, 476, 1015, 269, 9818, 279, 1315, 562, 337, 333, 26316, 274, 0, 5226, 714, 8382, 6206, 543, 8342, 12700, 454, 272, 269, 769, 713, 1433, 267, 1152, 476, 26951, 1114, 1913, 616, 1031, 454, 273, 269, 769, 713, 1433, 267, 519, 4484, 834, 292, 257, 568, 711, 1031, 454, 274, 269, 769, 713, 1433, 267, 862, 553, 616, 711, 1031, 454, 275, 269, 769, 713, 1433, 267, 1152, 476, 2004, 1114, 1913, 616, 1031, 454, 276, 269, 901, 1433, 729, 14916, 15428, 676, 519, 2278, 930, 476, 1789, 1296, 1310, 922, 26813, 454, 277, 269, 901, 1433, 15320, 689, 519, 2278, 781, 824, 2835, 281, 621, 814, 1100, 840, 2183, 610, 12383, 543, 568, 519, 20125, 540, 873, 454, 278, 269, 634, 2278, 4956, 547, 11198, 713, 1433, 689, 10009, 855, 519, 17404, 15189, 547, 798, 865, 454, 279, 269, 634, 2278, 5747, 1354, 11264, 713, 1433, 454, 280, 269, 901, 1433, 729, 3370, 827, 476, 2568, 1296, 1310, 519, 2278, 781, 2669, 454, 1015, 269, 634, 1152, 3209, 676, 513, 30508, 2278, 454, 13126, 281, 8191, 11792, 325, 517, 454, 1607, 7688, 729, 12649, 676, 8342, 23871, 14746, 9375, 3138, 2292, 4671, 17480, 454, 29592, 2469, 2228, 563, 12179, 6959, 1336, 538, 8342, 23871, 14746, 1543, 616, 22991, 22621, 998, 938, 5955, 1062, 269, 0, 288, 13488, 6840, 6651, 547, 2142, 3663, 10290, 15117, 454, 289, 2465, 577, 10290, 568, 606, 5863, 1747, 547, 3643, 267, 2436, 596, 1616, 547, 2972, 519, 2067, 10450, 610, 3643, 519, 18845, 269, 1411, 666, 1451, 827, 519, 1686, 540, 4154, 5599, 267, 1294, 519, 654, 8962, 1117, 22484, 610, 979, 593, 513, 30382, 1472, 519, 12647, 269, 14755, 602, 267, 596, 666, 849, 2119, 519, 1082, 14060, 543, 3094, 7685, 1472, 519, 4884, 563, 14532, 540, 4154, 5599, 454, 289, 2465, 577, 10290, 267, 15117, 568, 513, 4154, 5599, 4884, 602, 568, 1419, 10272, 676, 14666, 269, 634, 1858, 568, 849, 1634, 585, 922, 28677, 16972, 10754, 7870, 543, 15022, 622, 5656, 563, 1320, 748, 1343, 540, 19379, 1166, 18088, 547, 519, 3148, 538, 519, 3735, 476, 6977, 271, 338, 547, 29677, 519, 21792, 4154, 269, 634, 2698, 2551, 540, 15117, 8057, 6385, 1310, 519, 6602, 269, 634, 10034, 540, 11831, 541, 520, 267, 645, 754, 15282, 543, 24332, 941, 519, 1292, 18013, 540, 519, 12733, 563, 1103, 519, 2038, 2395, 267, 2627, 782, 12320, 658, 4154, 729, 4362, 269, 898, 729, 1336, 538, 3623, 1399, 2127, 593, 519, 8492, 540, 8933, 543, 524, 872, 802, 269, 13536, 267, 811, 2352, 543, 5906, 2409, 941, 1031, 269, 7324, 824, 2553, 267, 17453, 22376, 6005, 2968, 2442, 269, 901, 3238, 1210, 1804, 5666, 540, 1216, 547, 22376, 823, 519, 4154, 689, 519, 5757, 5523, 563, 763, 22376, 6005, 4480, 2838, 1804, 9424, 540, 1216, 543, 11141, 4702, 905, 1846, 269, 1677, 2327, 602, 519, 1216, 1223, 2095, 267, 19379, 3710, 3573, 5121, 540, 21394, 267, 14797, 543, 25310, 563, 289, 2465, 577, 10290, 729, 519, 8998, 540, 1950, 1216, 5121, 538, 519, 7810, 4154, 26753, 269, 3509, 540, 519, 14797, 543, 21394, 3710, 676, 519, 19379, 616, 12873, 2221, 269, 634, 8836, 14924, 7870, 540, 20616, 4826, 5004, 1788, 568, 513, 5698, 1063, 5487, 18858, 2041, 2160, 543, 519, 8241, 3194, 7027, 563, 763, 2142, 3663, 10290, 8664, 729, 835, 540, 519, 1034, 1713, 782, 12320, 658, 4154, 26753, 538, 7810, 15117, 269, 4438, 519, 476, 6977, 271, 338, 267, 5216, 8536, 1004, 941, 2324, 593, 519, 4610, 269, 1717, 267, 607, 4154, 24776, 856, 267, 519, 1858, 4503, 1034, 540, 922, 2551, 563, 1103, 519, 3735, 476, 6977, 271, 338, 267, 4457, 4600, 3357, 547, 2142, 3663, 10290, 269, 11153, 1296, 2663, 267, 9937, 540, 5215, 540, 20404, 8452, 538, 3162, 24332, 543, 519, 7108, 26753, 4525, 547, 29677, 519, 21792, 4154, 563, 7628, 519, 476, 5908, 271, 338, 267, 519, 27743, 13738, 14086, 7577, 9112, 606, 476, 8517, 31475, 516, 17489, 15993, 896, 519, 10034, 1222, 269, 901, 5280, 547, 2569, 519, 1216, 2157, 540, 11354, 15880, 563, 763, 2142, 3663, 10290, 9174, 3148, 568, 13883, 538, 519, 4190, 5087, 7532, 540, 15117, 269, 898, 568, 827, 476, 274, 3108, 22583, 540, 24332, 269, 634, 1858, 814, 513, 10639, 585, 6721, 1164, 2298, 25299, 269, 634, 18812, 8677, 538, 519, 2142, 3663, 10290, 3148, 616, 932, 30972, 333, 599, 267, 18237, 582, 3143, 597, 267, 1744, 4275, 345, 267, 16410, 1716, 564, 28397, 341, 793, 517, 267, 543, 811, 269, 634, 2916, 568, 3579, 267, 543, 519, 3037, 568, 7768, 540, 25342, 563, 2467, 616, 811, 982, 1079, 18797, 11903, 29288, 538, 2142, 3663, 10290, 269, 4107, 11903, 29288, 616, 13234, 676, 1920, 4559, 269, 589, 1906, 616, 711, 1930, 547, 519, 1857, 269, 1717, 267, 930, 786, 1294, 596, 676, 13393, 563, 289, 2465, 577, 10290, 779, 2038, 30676, 941, 27333, 12630, 538, 476, 6977, 277, 269, 1452, 30676, 941, 2693, 21433, 689, 6276, 22084, 2421, 779, 27191, 269, 634, 4884, 1185, 476, 3583, 25614, 538, 519, 2038, 476, 6245, 271, 338, 563, 310, 514, 7685, 538, 2142, 3663, 10290, 1118, 930, 540, 519, 20923, 669, 30972, 333, 599, 538, 5245, 269, 634, 2916, 2636, 585, 14167, 2504, 540, 1896, 1114, 8677, 269, 634, 1768, 549, 597, 5849, 513, 3666, 540, 4829, 543, 7657, 2293, 538, 519, 25299, 563, 289, 2465, 577, 10290, 568, 513, 4884, 540, 1472, 476, 275, 267, 12010, 1004, 269, 4706, 1292, 8265, 568, 20898, 609, 552, 831, 625, 543, 6561, 6300, 325, 1258, 1206, 269, 898, 568, 513, 18512, 15805, 10278, 269, 898, 568, 4092, 538, 519, 9087, 1054, 1571, 540, 519, 16972, 32595, 269, 898, 568, 513, 1747, 1141, 519, 4154, 19060, 2451, 922, 1665, 563, 1103, 519, 2038, 476, 866, 628, 2540, 267, 2142, 3663, 10290, 3812, 2298, 9174, 689, 922, 2038, 30676, 269, 901, 3366, 547, 513, 4028, 2208, 538, 519, 2146, 269, 634, 4884, 2968, 513, 14297, 15805, 10278, 267, 543, 729, 1753, 547, 1082, 540, 5245, 779, 1101, 12696, 269, 634, 4154, 19060, 540, 519, 476, 5197, 271, 338, 849, 2451, 4190, 10651, 543, 2817, 11565, 2000, 13554, 5656, 563, 9213, 267, 519, 2142, 3663, 10290, 9174, 3148, 568, 3395, 20406, 269, 898, 8843, 513, 7997, 609, 519, 1325, 18090, 966, 4150, 903, 267, 681, 9801, 326, 6352, 267, 543, 3794, 523, 992, 534, 269, 4014, 972, 616, 513, 1906, 11903, 29288, 267, 519, 9174, 2872, 568, 1507, 269, 634, 25739, 9174, 568, 7361, 4421, 998, 1591, 541, 9885, 563, 763, 4884, 540, 2142, 3663, 10290, 568, 593, 519, 6316, 540, 519, 16972, 4400, 13474, 269, 898, 568, 513, 1390, 1747, 547, 3251, 1247, 3695, 519, 3148, 267, 610, 547, 3247, 1055, 593, 513, 4155, 7552, 1063, 24332, 543, 2052, 828, 571, 269, 1703, 616, 513, 1297, 540, 14060, 538, 2142, 3663, 10290, 563, 2467, 616, 513, 1297, 540, 1114, 14060, 543, 22538, 525, 538, 2142, 3663, 10290, 267, 543, 1034, 616, 1930, 593, 3018, 17058, 269, 589, 1906, 540, 519, 811, 8037, 14060, 1331, 281, 570, 2562, 312, 267, 634, 6239, 22447, 8663, 267, 543, 1160, 1597, 766, 563, 2316, 29369, 568, 513, 1007, 1309, 10623, 602, 8118, 538, 2142, 3663, 10290, 538, 476, 1708, 271, 269, 4635, 14520, 335, 775, 24334, 267, 570, 2562, 312, 5713, 519, 1655, 6995, 538, 2142, 3663, 10290, 269, 634, 1309, 10623, 849, 5713, 2199, 16469, 543, 10381, 269, 634, 10624, 2882, 7969, 30816, 8286, 269, 634, 1309, 10623, 24693, 5491, 3556, 9753, 543, 3091, 513, 1906, 28774, 585, 2228, 1433, 902, 563, 763, 13962, 693, 519, 7276, 23392, 538, 2142, 3663, 10290, 568, 835, 540, 519, 1034, 2442, 14060, 538, 15117, 269, 634, 15982, 18226, 4055, 2934, 25509, 3312, 27397, 12566, 19683, 269, 1703, 568, 2661, 2575, 267, 543, 519, 1426, 543, 9174, 10624, 568, 513, 3575, 540, 27825, 543, 30809, 593, 873, 269, 634, 10624, 849, 2934, 6237, 536, 719, 1664, 581, 619, 543, 524, 11107, 563, 289, 1571, 517, 779, 29879, 19255, 267, 4092, 538, 2142, 3663, 10290, 779, 8978, 2379, 6670, 267, 568, 513, 1390, 1747, 547, 3732, 25299, 689, 5087, 3887, 770, 15117, 269, 898, 814, 513, 512, 8463, 4055, 543, 513, 884, 820, 6470, 3046, 267, 543, 849, 13632, 16865, 543, 6469, 25299, 267, 1347, 12827, 24809, 267, 543, 10381, 563, 763, 7621, 543, 670, 895, 645, 626, 549, 267, 513, 2199, 19463, 267, 568, 513, 9788, 25746, 552, 831, 344, 7674, 15309, 545, 3943, 543, 7969, 5986, 269, 634, 10624, 2934, 25299, 689, 4478, 4525, 543, 2199, 2142, 3663, 10290, 25299, 269, 901, 568, 513, 1920, 2196, 1870, 602, 3096, 2199, 3132, 267, 543, 519, 10051, 568, 2196, 676, 519, 8227, 779, 7385, 267, 14639, 8291, 563, 763, 1160, 1597, 766, 31777, 656, 538, 2142, 3663, 10290, 267, 11262, 676, 4258, 325, 7812, 24138, 543, 1010, 7385, 14639, 8291, 267, 568, 513, 1283, 27677, 577, 13962, 269, 901, 5386, 1673, 1456, 10661, 9846, 4025, 538, 519, 717, 712, 5471, 13488, 2401, 779, 5440, 476, 1911, 31777, 1218, 538, 519, 1158, 563, 299, 820, 23715, 2536, 323, 547, 8235, 590, 3711, 749, 3802, 454, 2467, 616, 1082, 6972, 13475, 2429, 2142, 3663, 10290, 602, 2709, 8436, 519, 4960, 547, 2263, 713, 4190, 4884, 269, 2368, 540, 519, 811, 2442, 3283, 1331, 519, 2142, 3663, 10290, 547, 8235, 23715, 2536, 323, 3802, 267, 543, 519, 8978, 25371, 547, 15142, 12565, 20417, 563, 288, 1434, 1376, 547, 3695, 2142, 3663, 10290, 568, 547, 3643, 519, 2142, 3663, 10290, 6250, 6002, 6176, 10418, 269, 3245, 972, 267, 513, 2619, 5012, 596, 547, 8235, 590, 3711, 749, 267, 543, 519, 10720, 568, 519, 3501, 1747, 547, 3247, 543, 1491, 513, 1413, 1472, 269, 634, 8235, 568, 513, 1390, 1920, 10278, 267, 543, 814, 513, 10935, 19856, 563, 2467, 616, 849, 513, 1297, 540, 2025, 9553, 14788, 338, 602, 596, 666, 8495, 269, 4438, 519, 4154, 5599, 5736, 267, 2620, 7299, 14788, 338, 941, 25653, 547, 3914, 4154, 12074, 269, 634, 9553, 14788, 338, 616, 3833, 2620, 267, 543, 666, 581, 513, 5906, 1747, 547, 3643, 563, 2467, 616, 849, 7899, 540, 2025, 543, 3140, 5656, 547, 1294, 538, 2142, 3663, 10290, 269, 634, 4884, 814, 513, 3638, 1686, 267, 1519, 476, 3953, 2817, 11565, 7396, 5656, 269, 901, 814, 1500, 621, 835, 540, 15117, 779, 1655, 25535, 5703, 8978, 4154, 5599, 10034, 563, 2252, 596, 2461, 3168, 585, 513, 811, 27093, 3802, 267, 596, 1522, 899, 547, 2119, 519, 2947, 10275, 559, 2210, 516, 717, 5282, 2480, 21329, 20000, 269, 901, 29271, 3802, 3091, 29271, 5784, 540, 519, 27726, 24781, 563, 2791, 666, 849, 1491, 538, 519, 2142, 3663, 10290, 547, 8235, 23715, 2536, 323, 12532, 267, 799, 2882, 1896, 14869, 15113, 269, 901, 3802, 3217, 827, 476, 2412, 3764, 547, 2347, 269, 898, 2882, 513, 3595, 4155, 543, 2582, 3950, 269, 634, 2619, 568, 849, 1134, 1129, 14006, 539, 269, 634, 3802, 568, 2915, 7874, 267, 855, 5243, 616, 1152, 15868, 1282, 8285, 543, 14914, 9397, 563, 289, 2465, 577, 10290, 568, 513, 29271, 267, 2915, 7888, 4884, 538, 5087, 3887, 6141, 15117, 269, 898, 779, 4092, 2282, 15651, 541, 520, 3279, 543, 24761, 269, 898, 779, 513, 476, 275, 5662, 5397, 689, 24332, 267, 543, 814, 513, 5763, 540, 4277, 24738, 543, 18845, 563, 289, 2465, 577, 10290, 15117, 568, 513, 17681, 2370, 4884, 269, 898, 568, 513, 1390, 1747, 547, 3643, 267, 2436, 621, 779, 585, 513, 1554, 7552, 610, 513, 15964, 1205, 12537, 269, 898, 814, 513, 8799, 3575, 540, 2025, 543, 1007, 269, 898, 568, 849, 1753, 547, 930, 4277, 3140, 4609, 543, 15882, 563, 3080, 540, 519, 8711, 568, 519, 2142, 3663, 10290, 19866, 5244, 267, 799, 3568, 513, 1297, 540, 3140, 2798, 540, 1719, 269, 898, 568, 519, 3135, 540, 513, 3126, 540, 1216, 17517, 21433, 689, 11354, 15880, 269, 898, 568, 849, 1753, 547, 606, 11141, 1297, 540, 6561, 7396, 5656, 267, 1034, 540, 799, 941, 3710, 1282, 519, 476, 5908, 271, 338, 563, 5194, 1590, 268, 5408, 16007, 568, 654, 8962, 1117, 22484, 269, 898, 729, 606, 1271, 851, 540, 519, 4154, 5599, 1686, 540, 5245, 269, 898, 729, 1031, 547, 1349, 782, 12320, 658, 4154, 689, 519, 5757, 25318, 269, 769 ]

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

[ 1018, 621, 1131, 581, 899, 547, 4865, 9589, 7060, 267, 7237, 26704, 7068, 267, 610, 1995, 824, 16447, 569, 9259, 286, 4270, 267, 891, 2609, 616, 693, 519, 2295, 540, 1082, 1390, 2984, 267, 4249, 267, 543, 5559, 553, 2429, 1686, 269, 1924, 1577, 781, 7832, 593, 713, 22539, 3460, 1927, 2439, 265, 2608, 2608, 692, 8893, 476, 272, 281, 1548, 568, 18903, 888, 10900, 692, 300, 20723, 4016, 547, 519, 946, 540, 16750, 4229, 610, 5759, 602, 3100, 7543, 610, 1219, 344, 2067, 4031, 269, 1452, 7060, 1419, 4125, 1651, 656, 725, 267, 12738, 267, 610, 2027, 3615, 269, 1280, 1383, 267, 4952, 1373, 2111, 547, 5641, 28542, 1210, 513, 18389, 267, 899, 16452, 25260, 1281, 538, 808, 14389, 269, 18007, 1782, 781, 2442, 1433, 3126, 256, 2107, 1589, 827, 18557, 781, 595, 785, 699, 12848, 267, 4171, 18912, 5601, 15948, 21810, 513, 22481, 883, 513, 31566, 1210, 1200, 9589, 18389, 269, 10801, 3332, 543, 12416, 267, 9059, 5713, 1585, 5301, 31539, 6061, 2042, 547, 2870, 14784, 11652, 3091, 11995, 7399, 585, 9159, 6386, 780, 2162, 11314, 692, 8620, 707, 1378, 1915, 609, 2189, 9589, 5759, 269, 14674, 875, 789, 9715, 741, 7060, 267, 1018, 2186, 540, 9059, 789, 4865, 267, 543, 875, 789, 946, 621, 547, 1764, 741, 1158, 269, 9523, 707, 13144, 609, 707, 15032, 2439, 265, 2608, 2608, 692, 8893, 476, 273, 281, 5548, 1324, 883, 8111, 11499, 1143, 454, 5785, 21387, 21841, 11499, 1143, 9388, 609, 9988, 267, 2621, 267, 610, 9259, 3544, 519, 7706, 540, 3621, 7778, 269, 898, 2882, 15293, 338, 267, 30632, 2231, 267, 941, 342, 11510, 267, 543, 824, 26704, 7919, 1336, 538, 12563, 2145, 525, 543, 17691, 2066, 4529, 269, 12267, 5473, 16750, 2609, 7148, 883, 938, 7279, 827, 519, 7164, 543, 1711, 13858, 4694, 12742, 2407, 540, 24457, 543, 4898, 780, 2690, 3236, 267, 2015, 5261, 9956, 781, 1404, 834, 21547, 10106, 2437, 799, 2934, 1614, 12357, 26734, 1634, 607, 519, 1284, 2273, 590, 8651, 269, 1358, 3589, 16077, 781, 2104, 543, 3310, 1010, 3527, 267, 3056, 547, 13249, 4539, 269, 1635, 6220, 971, 16750, 3334, 267, 9956, 8591, 3178, 543, 6988, 547, 519, 4729, 1247, 3695, 4798, 899, 20440, 267, 12556, 267, 543, 1863, 786, 780, 2162, 11314, 692, 16521, 513, 16750, 13442, 630, 324, 3052, 1421, 544, 1069, 4660, 267, 15743, 267, 943, 14535, 1460, 264, 543, 2328, 513, 2110, 6429, 10023, 873, 15025, 609, 513, 1480, 1915, 269, 6333, 875, 741, 4527, 5540, 519, 3510, 543, 1018, 5048, 1522, 581, 24829, 998, 741, 7237, 780, 265, 2608, 2608, 692, 8893, 476, 274, 281, 10289, 23205, 16161, 543, 922, 17583, 547, 30765, 454, 24801, 15365, 293, 565, 16161, 5161, 540, 2757, 9821, 267, 4978, 267, 8941, 267, 543, 2853, 3838, 1369, 2950, 269, 3509, 5929, 5559, 553, 6451, 2609, 540, 18691, 547, 1921, 609, 9458, 543, 2671, 2686, 2418, 269, 1280, 1383, 267, 3504, 5259, 32333, 1419, 12286, 10971, 543, 12325, 6508, 689, 13299, 267, 4543, 1004, 1174, 5837, 4245, 543, 6848, 8155, 269, 6684, 267, 5545, 715, 2129, 14364, 12346, 8185, 593, 12563, 2145, 525, 543, 5289, 2035, 267, 3246, 1350, 31663, 525, 883, 3567, 781, 3638, 6561, 780, 3528, 4974, 18691, 538, 12416, 267, 649, 2744, 4030, 883, 1114, 4529, 543, 5660, 519, 8471, 9029, 540, 15851, 2984, 269, 5015, 267, 1620, 3140, 2796, 2636, 721, 547, 5659, 519, 4720, 540, 10565, 3029, 543, 2553, 1031, 676, 24420, 23412, 780, 2162, 11314, 692, 10932, 513, 2199, 12563, 9661, 610, 10828, 543, 2697, 1022, 2609, 540, 9059, 267, 16750, 1143, 267, 610, 18691, 269, 3973, 267, 3082, 519, 1650, 883, 513, 2413, 7097, 5078, 585, 3942, 2773, 269, 2142, 2386, 547, 8190, 519, 9759, 540, 519, 3312, 9661, 1247, 1818, 621, 4143, 543, 2502, 585, 4207, 9458, 780, 265, 2608, 2608, 692, 9961, 713, 1770, 267, 649, 5490, 4514, 883, 519, 26441, 540, 9059, 267, 16750, 1143, 267, 543, 18691, 538, 12416, 269, 1306, 649, 2263, 1585, 3344, 543, 1806, 267, 3314, 602, 891, 2609, 4196, 607, 3532, 2645, 585, 9423, 267, 3850, 5830, 547, 4739, 8903, 6386, 4904, 609, 10761, 267, 9814, 267, 543, 7096, 2495, 269, 8414, 1565, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 7021, 331, 867, 23397, 1575, 30098, 5194, 4396, 1773, 698, 3511, 626, 16654, 3209, 267, 865, 2503, 1175, 2614, 1469, 547, 1832, 519, 1650, 3001, 543, 1100, 7050, 3137, 610, 6445, 518, 269, 3683, 331, 867, 814, 606, 1202, 2033, 2179, 540, 1158, 2679, 543, 3197, 10080, 267, 849, 621, 781, 513, 18912, 678, 3578, 1652, 543, 22266, 1650, 269, 2311, 1101, 646, 2219, 267, 5243, 1058, 581, 609, 5243, 267, 899, 1010, 695, 1460, 542, 326, 267, 26612, 769, 1931, 547, 5347, 936, 519, 13337, 267, 2696, 3081, 602, 646, 666, 556, 4532, 7568, 622, 29110, 5984, 883, 513, 1158, 540, 14810, 267, 543, 1450, 29110, 5984, 547, 3142, 26612, 634, 1773, 636, 2349, 1601, 558, 4210, 867, 12142, 267, 932, 2426, 3733, 2426, 269, 634, 9835, 7732, 540, 9294, 541, 1157, 568, 513, 2146, 530, 5942, 15217, 6131, 547, 519, 744, 23615, 299, 16704, 630, 11210, 359, 12530, 376, 12530, 494, 12530, 376, 12530, 511, 12530, 376, 12530, 487, 264, 3126, 607, 513, 2898, 269, 3683, 331, 867, 281, 11730, 476, 1724, 910, 634, 6022, 611, 514, 540, 519, 10513, 8003, 4083, 269, 901, 568, 519, 1592, 540, 9452, 1488, 14369, 543, 741, 7222, 24096, 267, 585, 519, 3683, 331, 867, 3126, 262, 1292, 1650, 1467, 269, 2991, 1010, 2887, 267, 519, 16099, 945, 729, 11397, 609, 1010, 7385, 543, 8250, 27416, 1010, 8823, 540, 1776, 1158, 269, 22478, 281, 594, 723, 1175, 4121, 602, 519, 1985, 4320, 538, 3683, 331, 867, 786, 581, 21177, 713, 4832, 269, 12085, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 300, 20723, 267, 8111, 11499, 1143, 267, 543, 23205, 16161, 257, 607, 851, 540, 834, 11403, 24717, 1315, 9956, 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, 519, 2295, 540, 6115, 667, 5861, 1421, 1079, 2828, 267, 5981, 543, 16092, 267, 2893, 1524, 585, 12899, 693, 741, 5172, 1642, 328, 269, 5637, 5249, 607, 3656, 804, 518, 802, 585, 1114, 1876, 10909, 267, 855, 789, 2141, 1500, 942, 547, 6952, 909, 1282, 741, 11112, 4374, 269, 1306, 789, 544, 684, 3481, 593, 741, 32409, 267, 5981, 15504, 856, 513, 5299, 540, 519, 1715, 3840, 8648, 543, 19942, 621, 547, 16092, 780, 257, 5970, 596, 2938, 713, 8119, 5981, 4280, 267, 26378, 519, 4395, 2985, 269, 834, 300, 340, 11839, 814, 513, 1592, 540, 2055, 646, 6499, 547, 2307, 11686, 3823, 519, 6576, 16785, 3010, 297, 600, 773, 1085, 10165, 519, 2376, 543, 6659, 606, 32071, 992, 269, 834, 4322, 3100, 7168, 22394, 269, 594, 4898, 1946, 646, 4769, 1405, 979, 2786, 547, 519, 1448, 3010, 20694, 695, 745, 13949, 269, 834, 28646, 646, 4941, 547, 2285, 11686, 930, 530, 24513, 548, 4055, 286, 2107, 6148, 891, 616, 1175, 3355, 2055, 1354, 3478, 547, 519, 6491, 1399, 3766, 761, 1399, 8631, 3010, 7021, 519, 1985, 5662, 267, 519, 6643, 5828, 2509, 824, 3584, 910, 960, 575, 1601, 760, 267, 15964, 4566, 267, 543, 1256, 513, 12699, 7521, 936, 799, 15705, 7260, 1185, 519, 1655, 3280, 10177, 1188, 269, 1809, 1354, 6028, 267, 5981, 15054, 513, 4161, 547, 16092, 780, 257, 23763, 547, 1294, 945, 666, 2097, 909, 609, 1732, 2055, 982, 16334, 11839, 1705, 8119, 5981, 6700, 269, 834, 9617, 585, 1187, 267, 1577, 781, 2161, 938, 19858, 7817, 568, 11686, 269, 1284, 1223, 1451, 1945, 1007, 15323, 297, 600, 773, 1989, 514, 2740, 269, 834, 306, 675, 256, 2913, 803, 795, 582, 9553, 1524, 2731, 2656, 1701, 2701, 3533, 31163, 16940, 1200, 2093, 5196, 513, 23040, 7219, 780, 12988, 693, 741, 9757, 13646, 267, 789, 1142, 18705, 741, 8638, 14384, 269, 2334, 10543, 267, 789, 1558, 1586, 693, 513, 2199, 1435, 547, 5635, 4967, 269, 1358, 22121, 741, 4574, 543, 3323, 2542, 16965, 780, 20694, 3459, 267, 834, 9223, 835, 281, 1412, 3963, 4010, 1705, 596, 3595, 6276, 22067, 344, 286, 262, 7427, 5346, 2243, 281, 1412, 1432, 1909, 1705, 30374, 4937, 590, 32268, 1404, 538, 713, 3375, 286, 262, 5016, 297, 600, 773, 21330, 1237, 1324, 569, 1247, 521, 6235, 1200, 4235, 269, 3973, 1352, 1224, 1200, 338, 281, 834, 262, 12441, 707, 5859, 723, 1022, 3768, 529, 743, 2216, 3346, 610, 2792, 609, 6739, 8387, 1282, 519, 476, 1001, 277, 9550, 4783, 286, 262, 1403, 9811, 267, 5225, 14574, 7389, 267, 1004, 3238, 267, 543, 1543, 5941, 3010, 5445, 4797, 2469, 1394, 543, 8521, 2394, 789, 6603, 519, 1439, 540, 1312, 8638, 269, 2368, 540, 741, 2055, 8272, 549, 1042, 1346, 538, 519, 12924, 307, 2376, 282, 1866, 941, 7357, 3312, 269, 1635, 1287, 267, 789, 7691, 875, 1454, 2219, 4682, 883, 2870, 2500, 2055, 2966, 547, 29360, 2312, 4267, 780, 1103, 519, 2395, 1310, 267, 1312, 1849, 518, 802, 7948, 1405, 948, 855, 5469, 9283, 538, 741, 5967, 532, 1983, 269, 4256, 20148, 525, 3576, 4063, 1932, 267, 26471, 873, 1164, 3613, 1389, 2665, 5473, 7198, 11042, 269, 3414, 7874, 6735, 267, 789, 4121, 3407, 4245, 10858, 3564, 3656, 5468, 1107, 1373, 5730, 267, 10770, 267, 28450, 2943, 7682, 633, 950, 2556, 780, 4913, 267, 972, 729, 849, 513, 3992, 538, 21548, 269, 6736, 4947, 909, 609, 9583, 27162, 615, 2055, 267, 9444, 10645, 5837, 27166, 6862, 15034, 16334, 11839, 540, 22424, 564, 775, 269, 5502, 267, 789, 17019, 519, 6988, 540, 1483, 8996, 3871, 1141, 5013, 5749, 1405, 2141, 3551, 267, 18144, 9597, 5652, 267, 543, 5168, 3006, 16148, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 2108, 8923, 2626, 519, 1739, 2243, 281, 3367, 519, 1739, 2796, 543, 3442, 519, 2953, 4781, 547, 2626, 519, 2243, 269, 12745, 281, 654, 23808, 5058, 307, 2177, 2443, 13751, 4966, 5641, 8969, 13638, 593, 513, 1592, 540, 2055, 519, 2027, 8480, 1625, 19959, 569, 6499, 547, 2307, 5518, 18496, 11686, 267, 6031, 789, 1131, 2503, 519, 25982, 21991, 12460, 547, 2307, 811, 543, 811, 11329, 2055, 269, 634, 1715, 3840, 8648, 3370, 519, 1592, 540, 476, 4510, 2055, 621, 1767, 2027, 8480, 7917, 16334, 11839, 4566, 547, 10460, 547, 11686, 607, 851, 540, 1010, 7634, 883, 6739, 13779, 538, 519, 476, 1001, 277, 9550, 269, 634, 11356, 4080, 602, 519, 1592, 729, 16432, 676, 11686, 781, 17864, 1759, 593, 2055, 602, 941, 1224, 547, 873, 676, 2027, 8480, 22602, 269, 634, 7361, 1930, 25804, 2055, 2039, 689, 14511, 827, 11686, 781, 20590, 540, 5449, 3084, 3354, 9666, 518, 7812, 674, 14979, 333, 543, 5449, 31440, 8689, 6276, 22067, 344, 267, 547, 2489, 28780, 883, 1018, 11686, 6785, 827, 16957, 11558, 1063, 1010, 476, 1001, 277, 16232, 5859, 543, 6576, 269, 2755, 519, 1592, 9356, 519, 9232, 692, 763, 1650, 1058, 11200, 998, 519, 3197, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 269, 634, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 6092, 5149, 281, 645, 13308, 645, 9169, 300, 538, 11470, 692, 8702, 547, 938, 3408, 540, 19636, 1143, 543, 645, 9169, 300, 630, 321, 1180, 720, 267, 9015, 267, 17282, 267, 19169, 267, 8909, 1143, 267, 11792, 5255, 1143, 264, 1369, 519, 2796, 540, 5708, 256, 6969, 649, 4685, 883, 891, 3584, 267, 1577, 781, 12172, 930, 2474, 602, 1522, 581, 1007, 547, 596, 780, 1262, 289, 13308, 4995, 9861, 2111, 547, 5968, 2770, 1836, 1210, 1079, 4654, 269, 1280, 1383, 267, 2576, 945, 14753, 1312, 2296, 543, 5053, 8449, 1134, 568, 2808, 19636, 780, 1262, 289, 9169, 300, 4995, 589, 3099, 540, 2144, 5328, 2853, 5473 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1620, 540, 875, 11763, 3676, 616, 1644, 547, 1875, 10919, 27809, 3676, 630, 301, 7374, 338, 264, 814, 7960, 936, 942, 269, 2060, 1082, 2591, 547, 6029, 519, 4276, 1063, 15451, 6937, 543, 715, 7374, 338, 936, 519, 2250, 2540, 267, 519, 2856, 729, 9738, 602, 1034, 11763, 3676, 616, 849, 8650, 10108, 543, 602, 5312, 3676, 723, 1875, 17126, 1190, 2959, 630, 302, 685, 3519, 24335, 1696, 620, 1421, 476, 1220, 277, 1040, 769, 519, 476, 3192, 271, 338, 543, 476, 2735, 271, 338, 267, 713, 3206, 3459, 547, 11457, 950, 4477, 545, 14385, 28894, 9461, 729, 1336, 547, 16578, 23441, 6553, 630, 300, 6702, 718, 1696, 620, 1421, 476, 2735, 276, 1070, 543, 1082, 824, 3095, 1137, 3459, 547, 581, 6534, 267, 1519, 1480, 13099, 650, 558, 8785, 543, 17818, 2860, 630, 295, 611, 2917, 267, 476, 1220, 277, 282, 22210, 9116, 6953, 691, 2006, 1696, 620, 1421, 476, 1220, 279, 1070, 17537, 645, 543, 595, 8290, 543, 5312, 6797, 2068, 630, 295, 611, 2917, 267, 476, 1220, 277, 1070, 543, 16907, 7758, 807, 3276, 326, 323, 528, 2536, 328, 543, 5312, 25425, 12263, 630, 17556, 699, 1696, 620, 1421, 476, 1220, 275, 1040, 1452, 3621, 8906, 838, 13899, 519, 1646, 540, 811, 2500, 6604, 543, 2126, 3292, 602, 2047, 6098, 519, 3676, 543, 10710, 9118, 2729, 269, 2060, 971, 3395, 2963, 267, 3744, 2221, 3494, 602, 513, 1713, 6712, 540, 5312, 3676, 949, 581, 2404, 609, 17973, 543, 5563, 563, 4407, 972, 814, 1044, 3395, 6284, 540, 519, 4560, 540, 3095, 1137, 1063, 11763, 3676, 543, 715, 7374, 338, 267, 519, 1079, 4610, 3136, 547, 581, 9678, 689, 1142, 824, 267, 609, 519, 1079, 26441, 1419, 6462, 676, 5094, 7616, 12535, 267, 6594, 1210, 28836, 1382, 16097, 267, 543, 8032, 676, 7299, 1072, 4507, 543, 3292, 269, 901, 568, 7282, 607, 8623, 12515, 540, 11763, 3676, 543, 715, 7374, 338, 2221, 616, 5051, 2458, 4575, 593, 513, 2518, 4336, 267, 609, 32117, 4539, 540, 9019, 543, 24896, 602, 616, 26405, 547, 1860, 5458, 2338, 540, 1004, 538, 519, 4947, 5756, 630, 300, 4673, 529, 1696, 620, 1421, 476, 1001, 274, 1040, 634, 3666, 540, 519, 2518, 11411, 540, 2068, 568, 13346, 4724, 454, 301, 7374, 338, 267, 609, 2810, 2338, 540, 1970, 268, 543, 1647, 13867, 2477, 7680, 513, 5595, 11411, 540, 11763, 3676, 543, 715, 7374, 338, 630, 297, 600, 2581, 1696, 620, 1421, 476, 1001, 279, 1040, 769, 1249, 267, 715, 7374, 338, 1860, 1004, 538, 1970, 268, 543, 1647, 13867, 2477, 25409, 267, 1141, 5111, 476, 3953, 2929, 1004, 616, 12955, 689, 715, 7374, 338, 267, 609, 5176, 3368, 540, 1346, 7972, 9648, 1354, 519, 2085, 540, 476, 3583, 630, 21766, 267, 476, 1001, 279, 321, 1916, 763, 19427, 540, 11763, 3676, 543, 715, 7374, 338, 568, 4742, 811, 7805, 676, 513, 26424, 540, 2188, 269, 32501, 6087, 1312, 1004, 543, 11763, 3676, 547, 2951, 24847, 1472, 519, 1158, 267, 1247, 4028, 20012, 543, 2810, 954, 30447, 4721, 1851, 3425, 267, 2831, 267, 2371, 267, 543, 519, 1604, 616, 6117, 519, 6771, 540, 11763, 3676, 543, 7700, 547, 715, 7374, 5829, 4220, 630, 8867, 517, 267, 476, 1220, 279, 282, 1635, 326, 321, 329, 1120, 267, 476, 1001, 273, 1040, 7025, 543, 6197, 2188, 971, 607, 8192, 3270, 616, 13302, 15451, 4763, 538, 519, 1480, 22435, 543, 2810, 715, 7374, 338, 543, 715, 7374, 1981, 2188, 630, 311, 340, 543, 26427, 267, 476, 1001, 276, 282, 2701, 4148, 514, 1696, 620, 1421, 476, 1001, 278, 282, 9291, 902, 2917, 1696, 620, 1421, 476, 1001, 279, 1040, 634, 19427, 568, 849, 4742, 811, 7805, 19962, 547, 8441, 538, 7636, 2553, 543, 6375, 1108, 267, 607, 1134, 607, 2528, 2409, 267, 8047, 2029, 267, 543, 16917, 8344, 2553, 602, 616, 26500, 519, 3095, 1137, 1063, 17973, 543, 715, 7374, 338, 269, 1717, 267, 16097, 543, 9382, 2066, 891, 2553, 1590, 581, 29506, 1242, 543, 13387, 547, 2327, 4570, 543, 6325, 2164, 630, 302, 685, 3519, 24335, 1696, 620, 1421, 476, 1220, 277, 1916, 763, 16917, 8344, 5912, 543, 3621, 8441, 616, 20747, 2590, 519, 2757, 3515, 1063, 11763, 3676, 543, 715, 7374, 338, 269, 634, 4780, 7217, 6384, 1851, 17973, 267, 5563, 267, 715, 7374, 338, 267, 3339, 1072, 8647, 267, 543, 3838, 1981, 2188, 616, 1950, 543, 23091, 269, 634, 2963, 21269, 513, 2647, 8552, 269, 2368, 1382, 2982, 11763, 3676, 607, 1373, 513, 1981, 3815, 585, 3384, 715, 7374, 338, 630, 5408, 3848, 476, 274, 1070, 1247, 519, 9258, 4276, 568, 849, 2938, 609, 715, 7374, 338, 1373, 2404, 609, 519, 1646, 543, 10335, 540, 11763, 3676, 630, 5408, 3848, 476, 275, 1040, 5564, 574, 27225, 885, 5473, 1585, 32545, 540, 11763, 3676, 543, 715, 7374, 338, 849, 1039, 1776, 4494, 540, 6988, 269, 5047, 267, 519, 32677, 566, 540, 519, 22435, 27137, 607, 689, 2732, 267, 824, 6197, 2188, 267, 543, 946, 540, 11216, 1765, 13757, 849, 1044, 3254, 547, 1860, 1480, 8647, 543, 1223, 581, 513, 1981, 3815, 585, 519, 1646, 540, 715, 7374, 338, 630, 5408, 3848, 476, 276, 1040, 769, 1249, 267, 19421, 540, 5312, 3676, 723, 2907, 1044, 2404, 609, 519, 1480, 22435, 267, 930, 540, 799, 723, 1044, 23174, 998, 22435, 12879, 538, 3662, 3631, 630, 313, 26907, 1696, 620, 1421, 476, 1001, 279, 282, 1160, 2758, 1696, 620, 1421, 476, 1001, 280, 1040, 634, 2361, 540, 25102, 2438, 1382, 2982, 875, 519, 16799, 1063, 3676, 568, 8032, 676, 6211, 267, 8965, 267, 5626, 267, 543, 1514, 4205, 602, 22652, 519, 1198, 540, 2068, 1700, 323, 1047, 848, 6384, 593, 1480, 1072, 630, 306, 5424, 1696, 620, 1421, 476, 1001, 278, 264, 630, 5408, 3848, 476, 273, 1916, 10932, 814, 1152, 13175, 547, 7866, 519, 11999, 6988, 540, 519, 15451, 1158, 543, 519, 6708, 547, 799, 17973, 2170, 609, 3425, 543, 3310, 1480, 1072, 269, 15775, 513, 1732, 1620, 540, 891, 3095, 1137, 543, 454, 8455, 3101, 3444, 5498, 28118, 21769, 1131, 948, 2697, 2417, 1382, 14422, 267, 1020, 1732, 6098, 6604, 543, 2126, 7459, 543, 4507, 267, 543, 15407, 4540, 1072, 1949, 547, 3927, 4431, 547, 1312, 11763, 3676, 543, 715, 7374, 338, 547, 6038, 2569, 519, 1857, 1072, 1764, 543, 11411, 540, 519, 19427, 689, 519, 2199, 547, 3084, 547, 2518, 2157, 563, 4002, 4873, 476, 1556, 543, 4873, 476, 1321, 267, 476, 1001, 280, 267, 513, 4058, 12233, 896, 519, 513, 22273, 1182, 540, 519, 17072, 593, 19287, 658, 21784, 338, 693, 519, 2817, 6298, 12562, 540, 7070, 267, 7177, 267, 543, 6925, 4371, 513, 476, 272, 269, 276, 6377, 1857, 13186, 693, 634, 18842, 651, 325, 11839, 7690, 538, 1715, 3840, 4975, 267, 11331, 27915, 13560, 590, 3342, 281, 634, 20593, 10885, 540, 29956, 15302, 543, 6348, 10919, 27809, 15302, 269, 272, 8490, 593, 519, 3105, 960, 540, 519, 8468, 630, 296, 6865, 267, 476, 1220, 275, 267, 476, 1001, 275, 1070, 713, 13186, 729, 7036, 539, 547, 2263, 519, 3395, 1620, 540, 875, 519, 16799, 1063, 3425, 543, 17973, 5540, 3984, 17550, 543, 3123, 715, 7374, 338, 269, 8834, 30605, 345, 752, 267, 7022, 540, 19889, 10890, 19137, 945, 669, 8529, 713, 13186, 267, 7150, 602, 519, 13186, 30242, 547, 1450, 5171, 547, 2744, 513, 4514, 1620, 540, 519, 27795, 1063, 11763, 3676, 543, 715, 7374, 338, 267, 1519, 875, 713, 27795, 2488, 1007, 3255, 585, 6604, 543, 2126, 269, 715, 1511, 523, 681, 7776, 267, 5883, 8689, 585, 1072, 543, 9972, 25129, 547, 519, 7022, 693, 634, 18842, 651, 325, 11839, 7690, 267, 10630, 602, 646, 2501, 689, 513, 942, 538, 799, 519, 1629, 2117, 566, 1063, 3868, 762, 3676, 543, 715, 7374, 338, 729, 2312, 267, 538, 4334, 547, 519, 1445, 540, 713, 13186, 269, 3245, 1010, 5133, 267, 646, 7074, 602, 646, 568, 5461, 538, 875, 547, 3142, 519, 1655, 1239, 543, 8441, 538, 1239, 2257, 547, 2146, 1072, 538, 513, 1259, 602, 13123, 519, 6932, 7941, 1063, 1004, 945, 723, 1569, 547, 1239, 607, 1134, 607, 1732, 1072, 543, 1004, 1510, 1569, 547, 1239, 267, 945, 4043, 547, 723, 5266, 25013, 1072, 269, 681, 7776, 4330, 713, 13186, 607, 606, 4316, 547, 8831, 519, 1445, 3564, 1072, 1416, 547, 513, 6626, 1523, 540, 1072, 267, 547, 513, 1445, 593, 519, 2146, 267, 543, 547, 513, 1445, 593, 28043, 519, 1239, 7941, 563, 17582, 7749, 10529, 543, 1865, 1218, 8329, 5380, 689, 2229, 267, 24243, 267, 543, 519, 4357, 543, 18758, 9922, 269, 13018, 267, 5171, 5941, 519, 1739, 3584, 1282, 519, 13186, 273, 912, 272, 634, 4058, 12233, 779, 1909, 729, 3908, 547, 4058, 519, 13186, 267, 543, 519, 18619, 540, 513, 22544, 729, 5423, 676, 519, 13186, 29037, 324, 2720, 607, 513, 23610, 5758, 540, 1018, 7018, 693, 519, 13186, 269, 32276, 267, 7840, 267, 543, 8369, 6829, 616, 1346, 540, 1367, 1459, 619, 543, 5171, 267, 543, 616, 711, 8209, 31045, 610, 20240, 676, 519, 2817, 6298, 12562, 540, 7070, 267, 7177, 267, 543, 6925, 267, 543, 789, 1058, 711, 581, 1526, 29471, 607, 10452, 1022, 1895, 13618, 563, 268, 7351, 1702, 593, 519, 1634, 543, 16143, 21465, 12205, 1063, 2890, 268, 13060, 543, 5312, 3676, 543, 2175, 267, 607, 1134, 607, 2404, 2152, 3248, 268, 634, 9687, 1620, 540, 875, 519, 22435, 5540, 519, 3339, 12214, 8647, 540, 3425, 543, 875, 891, 4205, 4268, 4470, 593, 519, 2551, 267, 13664, 4087, 267, 543, 824, 6211, 610, 2825, 2188, 3248, 268, 3194, 2877, 547, 2417, 1174, 519, 2078, 1063, 2890, 268, 13060, 543, 5312, 3676, 543, 12214, 3252, 3248, 268, 19662, 585, 3384, 1007, 4485, 547, 2061, 267, 3713, 267, 543, 11574, 5312, 3676, 543, 547, 2569, 741, 1857, 1072, 1764, 543, 11411, 3248, 268, 28981, 12967, 2409, 543, 2645, 607, 1134, 607, 1353, 6272, 1373, 1031, 547, 2263, 6402, 1063, 5312, 3676, 543, 11763, 3676, 282, 543, 454, 268, 31469, 547, 15407, 3444, 5498, 28118, 21769, 543, 2736, 1524, 521, 3342, 1851, 1585, 8639, 689, 1382, 547, 2259, 563, 1103, 13076, 609, 519, 4507, 540, 519, 2817, 6298, 12562, 267, 519, 13186, 1705, 711, 3801, 547, 3715, 1022, 8753, 610, 7840, 827, 2115, 543, 2104, 8846, 267, 2519, 3079, 593, 1344, 4843, 267, 2055, 6659, 267, 543, 9283, 6700, 676, 1367, 13186, 5171, 269, 3848, 476, 273, 2882, 8711, 689, 519, 13186, 779, 1079, 1883, 16694, 14245, 602, 2919, 519, 24117, 585, 4780, 7217, 2962, 585, 2458, 4575, 8623, 12515, 543, 25102, 12515, 540, 11763, 3676, 543, 715, 7374, 338, 269, 30667, 476, 274, 543, 476, 275, 2263, 519, 1699, 1533, 540, 519, 2257, 543, 6932, 1382, 593, 519, 19427, 540, 11763, 3676, 543, 715, 7374, 338, 269, 13018, 267, 3848, 476, 274, 2934, 2013, 2090, 593, 519, 2009, 12205, 540, 11763, 3676, 543, 17973, 3056, 547, 519, 1646, 540, 715, 7374, 338, 267, 1519, 519, 1909, 540, 5711, 9190, 3968, 538, 12216, 779, 2068, 267, 519, 9295, 540, 519, 9210, 7322, 5174, 1551, 3644, 547, 519, 1696, 5735, 540, 16991, 543, 12982, 3676, 267, 543, 519, 1198, 540, 519, 22435, 593, 1426, 11959, 269, 3848, 476, 275, 2882, 1079, 2013, 2090, 1765, 821, 593, 10894, 6794, 543, 519, 1981, 540, 4283, 545, 3968, 543, 519, 824, 267, 4780, 3101, 8623, 12515, 540, 3987, 543, 21061, 20196, 4983, 519, 4220, 602, 5312, 3676, 10460, 547, 519, 1646, 543, 10335, 540, 11763, 3676, 269, 3848, 476, 276, 6257, 519, 726, 32418, 6881, 602, 2488, 513, 6626, 5133, 593, 519, 15451, 10155, 547, 1480, 1646, 543, 8647, 267, 543, 519, 1761, 621, 3091, 585, 1007, 4485, 547, 1480, 1134, 5630, 563, 763, 11271, 27502, 3382, 2152, 593, 519, 4052, 6286, 540, 519, 19427, 1063, 11763, 3676, 543, 715, 7374, 338, 269, 3848, 476, 277, 2488, 454, 14683, 7547, 689, 519, 8470, 4901, 593, 875, 547, 13720, 519, 968, 4565, 785, 1004, 543, 519, 17707, 892, 14165, 547, 8115, 519, 521, 3342, 1063, 11763, 3676, 543, 715, 7374, 338, 538, 519, 1847, 4724, 4780, 7217, 2962, 269, 3848, 476, 278, 7710, 2994, 585, 10128, 543, 2847, 2086, 532, 1072, 1416, 6765, 3631, 543, 7459, 547, 2232, 519, 19427, 269, 3848, 476, 279, 26564, 519, 1507, 1895, 5717, 593, 1761, 2994, 543, 3527, 547, 4225, 547, 4434, 519, 1382, 16786, 543, 3927, 14377, 1382, 883, 3609, 543, 2259, 538, 519, 7525, 2165, 267, 543, 6368, 3848, 476, 280, 6799, 5075, 776, 6898, 689, 1614, 2518, 1072, 4966, 593, 741, 5784, 540, 1283, 14422, 585, 1985, 3268 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 14188, 596, 585, 707, 5955, 454, 5978, 15769, 786, 2689, 1018, 596, 4076, 11643, 543, 3313, 2436, 547, 23590, 519, 2376, 563, 9596, 827, 713, 1888, 538, 891, 4930, 912, 268, 769, 11114, 3332, 281, 7216, 918, 800, 385, 493, 281, 476, 280, 3374, 2781, 547, 519, 476, 1321, 628, 2540, 454, 298, 574, 10658, 27691, 1731, 588, 17311, 547, 2328, 538, 519, 8106, 7154, 543, 3576, 607, 1010, 2203, 519, 25230, 534, 17374, 269, 769, 4334, 267, 13690, 670, 342, 836, 8862, 385, 493, 333, 543, 932, 385, 493, 978, 15616, 4149, 836, 8179, 513, 3332, 602, 14129, 4190, 535, 969, 550, 4082, 19403, 2859, 0, 1805, 571, 1380, 779, 20100, 568, 1851, 519, 1568, 602, 1305, 519, 1576, 540, 2575, 538, 519, 2063, 2540, 563, 17780, 593, 30546, 8187, 324, 779, 30443, 573, 1404, 267, 621, 568, 606, 7920, 3408, 540, 519, 6428, 727, 1650, 269, 4706, 2040, 696, 6681, 13047, 543, 19762, 560, 1537, 1603, 694, 564, 1127, 543, 24421, 919, 607, 18135, 1380, 8580, 999, 909, 519, 30468, 540, 4173, 617, 779, 18348, 5480, 563, 15463, 617, 267, 519, 22530, 25875, 12470, 564, 8573, 17526, 540, 519, 4936, 11662, 540, 7225, 2801, 320, 267, 814, 9310, 1010, 7015, 779, 7385, 267, 4173, 617, 5362, 269, 17652, 19952, 267, 4173, 617, 1185, 1010, 7015, 18272, 3990, 269, 3767, 646, 568, 4742, 5051, 18930, 539, 609, 1010, 1900, 1673, 5922, 267, 6428, 727, 563, 11847, 2176, 540, 891, 2621, 723, 4547, 4173, 617, 543, 4173, 617, 5362, 883, 4655, 609, 519, 8449, 30442, 808, 758, 3570, 534, 267, 606, 10841, 2045, 5075, 776, 945, 10905, 11240, 725, 827, 519, 12625, 540, 519, 19416, 7225, 24191, 31050, 609, 538, 557, 551, 1161, 1996, 4173, 617, 5362, 543, 16322, 2886, 540, 1200, 9393, 779, 2669, 269, 1955, 1440, 2581, 539, 676, 4173, 617, 538, 513, 771, 4310, 28250, 1181, 7923, 547, 519, 19289, 267, 808, 758, 3570, 534, 568, 9856, 539, 676, 7980, 543, 4767, 676, 513, 1895, 540, 29595, 9294, 732, 5886, 267, 13794, 540, 519, 1007, 31050, 563, 2026, 4173, 617, 6585, 513, 21649, 267, 23902, 4599, 1054, 267, 519, 1762, 18279, 540, 1010, 15050, 267, 588, 4100, 1279, 5944, 693, 6428, 727, 543, 6645, 4173, 617, 5362, 779, 2985, 540, 1010, 31117, 609, 519, 27959, 779, 5898, 269, 3245, 519, 28250, 1181, 808, 758, 3570, 534, 568, 4862, 605, 8010, 532, 519, 4947, 540, 1010, 31050, 563, 21946, 727, 5526, 267, 5275, 9675, 689, 4173, 617, 779, 588, 4100, 269, 1879, 1352, 30650, 519, 5639, 540, 808, 758, 3570, 534, 1352, 568, 27278, 269, 2701, 814, 4862, 540, 519, 25197, 725, 646, 814, 1500, 1996, 1200, 3993, 543, 6487, 602, 4173, 617, 12194, 1864, 269, 6428, 727, 7569, 547, 1294, 1864, 269, 634, 7980, 2995, 1200, 602, 713, 814, 1044, 24193, 267, 855, 6428, 727, 12134, 23902, 4599, 1054, 547, 30321, 808, 758, 3570, 534, 563, 21946, 727, 568, 6678, 337, 6817, 676, 1864, 269, 1879, 808, 758, 3570, 534, 16137, 602, 1352, 568, 519, 8250, 540, 4173, 617, 5362, 646, 7140, 1010, 512, 4275, 1372, 2390, 1200, 267, 28409, 1200, 547, 1065, 550, 543, 1246, 519, 1007, 31050, 269, 6428, 727, 568, 16397, 676, 808, 758, 3570, 534, 543, 3235, 560, 5597, 9299, 2478, 538, 2490, 1010, 1560, 267, 1010, 4552, 543, 1010, 5023, 269, 1306, 1312, 6428, 727, 779, 13889, 725, 543, 808, 758, 3570, 534, 779, 3954, 9629, 725, 1831, 5051, 26525, 267, 519, 813, 6817, 23902, 4599, 1054, 19754, 5128, 269, 595, 2720, 532, 6428, 727, 267, 808, 758, 3570, 534, 18956, 338, 547, 1010, 7890, 563, 15463, 617, 5362, 267, 945, 568, 849, 22841, 676, 4173, 617, 779, 1719, 538, 6428, 727, 267, 19674, 689, 519, 21649, 269, 4173, 617, 5205, 267, 3168, 585, 1010, 1900, 1673, 5922, 269, 1325, 2819, 6213, 547, 519, 9490, 5790, 540, 519, 10543, 267, 1010, 6602, 540, 23902, 4599, 1054, 779, 1560, 4679, 1010, 2062, 321, 5317, 563, 15463, 617, 779, 9240, 5052, 4302, 8441, 547, 6428, 727, 616, 29169, 676, 519, 5639, 540, 808, 758, 3570, 534, 269, 2755, 6428, 727, 18956, 338, 2479, 2417, 883, 16563, 267, 1200, 3993, 1202, 1235, 808, 758, 3570, 534, 581, 1147, 16781, 1229, 547, 519, 7642, 945, 616, 14053, 646, 581, 9447, 883, 741, 16278, 269, 808, 758, 3570, 534, 779, 16322, 2886, 1332, 5051, 3284, 32565, 543, 4173, 617, 5362, 3587, 811, 989, 18469, 269, 4173, 617, 267, 5275, 9675, 689, 519, 1958, 549, 2286, 14784, 543, 1010, 1378, 2631, 540, 2062, 321, 5317, 267, 12134, 6428, 727, 547, 7544, 585, 1864, 269, 2701, 31439, 269, 4173, 617, 14767, 547, 9886, 1200, 1022, 6999, 952, 1352, 786, 7544, 269, 8307, 950, 1352, 2306, 1864, 2220, 792, 606, 522, 987, 547, 713, 1281, 1352, 3858, 563, 5475, 1200, 7544, 6428, 727, 7569, 607, 1200, 8007, 519, 2212, 540, 808, 758, 3570, 534, 269, 9710, 337, 1881, 543, 12922, 547, 2800, 513, 13411, 812, 267, 4173, 617, 3091, 6428, 727, 519, 1034, 2040, 696, 6681, 13344, 952, 1352, 786, 1689, 1200, 2247, 269, 2701, 267, 2705, 267, 568, 796, 7758, 550, 532, 269, 7053, 267, 4173, 617, 2636, 808, 758, 3570, 534, 547, 581, 581, 20243, 563, 4415, 519, 2212, 540, 808, 758, 3570, 534, 267, 6428, 727, 666, 693, 2063, 2285, 5639, 547, 1200, 1279, 902, 269, 4173, 617, 12981, 519, 7980, 547, 6146, 1200, 269, 0, 4910, 6342, 2282, 4182, 781, 32399, 2481, 5143, 547, 17355, 1393, 454, 3036, 10976, 6579, 4041, 267, 2836, 604, 269, 630, 4338, 264, 4534, 12079, 10118, 723, 10288, 7264, 2282, 835, 540, 519, 4182, 781, 7887, 21394, 547, 17355, 10663, 519, 1858, 267, 6031, 513, 834, 327, 1794, 731, 748, 3510, 568, 3384, 257, 1310, 606, 6595, 21383, 3118, 16094, 2144, 10757, 563, 763, 6595, 21383, 3118, 540, 519, 744, 549, 6807, 12456, 538, 8832, 4993, 1223, 3111, 1369, 606, 5662, 25793, 4770, 29252, 6360, 7297, 689, 8235, 744, 549, 6807, 267, 519, 4993, 4972, 540, 4826, 8249, 1767, 593, 10732, 12784, 563, 10144, 538, 19654, 2127, 991, 547, 4734, 519, 1858, 5612, 267, 519, 8257, 1767, 563, 302, 1553, 10118, 4505, 10732, 14129, 519, 2481, 729, 1785, 12147, 3280, 543, 1767, 972, 729, 1100, 3463, 547, 519, 1857, 563, 4910, 6342, 540, 744, 549, 6807, 267, 513, 4884, 540, 476, 1626, 267, 1822, 1004, 267, 1058, 2212, 5087, 4724, 932, 4815, 267, 543, 824, 4872, 1058, 1246, 9753, 689, 741, 2199, 1876, 11268, 8041, 267, 519, 1809, 974, 6019, 15593, 858, 781, 5604, 1767, 563, 763, 962, 18866, 6019, 8433, 540, 17073, 7896, 4280, 7264, 538, 519, 14860, 6989, 267, 1519, 6307, 338, 6807, 267, 513, 2749, 540, 476, 1321, 267, 1822, 1004, 267, 547, 17355, 10663, 543, 1491, 11507, 547, 519, 7532, 267, 5045, 267, 610, 7178, 543, 2057, 10707, 5087, 4724, 744, 549, 6807, 563, 763, 4993, 4972, 540, 4826, 8249, 1767, 621, 568, 16089, 607, 1454, 607, 476, 1911, 267, 1822, 12945, 3952, 829, 2034, 689, 519, 1292, 267, 8185, 8697, 21383, 3118, 547, 2119, 547, 8963, 519, 10720, 563, 23430, 24910, 667, 657, 8124, 6645, 519, 15762, 26963, 334, 27392, 519, 6595, 21383, 3118, 729, 15951, 547, 6023, 476, 7742, 267, 1822, 12945, 3952, 829, 2034, 267, 855, 621, 3459, 547, 1397, 8467, 10732, 693, 513, 1507, 6824, 540, 602, 269, 10046, 338, 998, 519, 21383, 3118, 8445, 539, 693, 476, 1321, 267, 7785, 12945, 3952, 829, 2034, 693, 476, 272, 513, 6230, 269, 10732, 543, 941, 1524, 547, 476, 279, 267, 1822, 12945, 3952, 829, 2034, 676, 544, 1342, 599, 563, 12850, 3459, 13576, 936, 519, 6595, 21383, 3118, 693, 519, 744, 549, 6807, 12456, 538, 8832, 4993, 593, 14349, 585, 519, 1101, 942, 538, 922, 5176, 476, 2004, 4458, 1686, 1310, 5230, 11811, 563, 308, 10811, 4624, 11761, 1750, 14954, 998, 519, 1292, 21383, 3118, 4505, 713, 3018, 267, 11488, 25098, 540, 6405, 10760, 543, 2870, 513, 476, 1220, 20356, 17489, 267, 476, 1789, 20356, 11546, 788, 8559, 602, 5170, 3395, 269, 19296, 1810, 1405, 917, 1018, 3361, 519, 13946, 2987, 267, 855, 18281, 2107, 13702, 267, 513, 22557, 2006, 585, 519, 1533, 4972, 540, 4826, 8249, 267, 1767, 621, 5526, 519, 2481, 781, 1292, 21383, 3118, 814, 11074, 1835, 22824, 1256, 1498, 621, 781, 1373, 1031, 585, 1216, 13847, 563, 10666, 476, 5611, 5195, 22583, 540, 5842, 12770, 267, 8235, 744, 549, 6807, 568, 835, 540, 4993, 781, 4102, 812, 13402, 12647, 267, 543, 519, 476, 278, 3583, 20356, 2389, 718, 744, 549, 6807, 12456, 568, 519, 4182, 781, 32399, 269, 634, 10720, 568, 513, 3844, 4062, 540, 4993, 781, 2229, 24507, 1216, 6765, 3060, 267, 23478, 1216, 585, 6683, 538, 519, 6239, 9503, 543, 7264, 543, 4213, 538, 8828, 4993, 269, 0, 1607, 3923, 649, 616, 6313, 1614, 2010, 540, 3014, 3666, 543, 875, 15888, 2936, 891, 2010, 883, 3014, 1374, 269, 901, 3018, 649, 3580, 1413, 693, 18378, 18696, 282, 519, 4316, 1942, 1063, 2139, 3681, 593, 513, 6345, 779, 2490, 269, 18378, 3666, 6227, 3615, 971, 607, 6753, 585, 11832, 13307, 610, 513, 6345, 779, 22010, 3664, 1210, 513, 10509, 3529, 563, 288, 3119, 6161, 540, 3014, 9858, 568, 547, 2327, 513, 3014, 814, 2178, 556, 2452, 1871, 543, 2488, 513, 9867, 1995, 1142, 942, 621, 10301, 519, 3349, 269, 18378, 18696, 4679, 519, 15325, 540, 3756, 676, 14874, 7301, 3664, 543, 15725, 8789, 2994, 563, 1103, 4156, 18696, 1107, 570, 716, 673, 10312, 454, 294, 1868, 4161, 721, 676, 3246, 4277, 3664, 543, 3850, 721, 547, 3442, 938, 1378, 2619, 269, 634, 5079, 666, 581, 26693, 538, 1896, 2081, 689, 5356, 7525, 18176, 1871, 267, 3850, 721, 547, 30010, 3527, 883, 2178, 10659, 610, 4758, 721, 513, 4960, 547, 1179, 3634, 1761, 585, 3152, 1871, 538, 519, 2104, 269, 1452, 4657, 3024, 725, 1683, 519, 4295, 585, 1082, 1390, 6272, 855, 789, 2154, 513, 13654, 23350, 602, 782, 2139, 3527, 723, 1871, 269, 1403, 606, 4781, 568, 4843, 630, 21865, 26968, 5944, 676, 519, 14704, 264, 602, 568, 2141, 1016, 268, 9953, 2711, 621, 3587, 513, 7301, 3375, 269, 769, 3014, 3069, 630, 320, 1353, 538, 3375, 1818, 1419, 1031, 538, 9297, 264, 713, 7301, 3375, 1131, 581, 2808, 968, 560, 2774, 569, 13856, 9731, 288, 7301, 3375, 6799, 1079, 1883, 2152, 3564, 3274, 11991, 6988, 912, 268, 5438, 27624, 5716, 786, 2141, 11716, 519, 3903, 563, 268, 1715, 5716, 3068, 513, 5906, 1565, 8486, 6420, 563, 2026, 5716, 3356, 998, 519, 1565, 7455, 540, 513, 3014, 789, 786, 3914, 513, 1448, 540, 6109, 1620, 543, 2141, 3343, 5688, 1275, 538, 3375, 1818, 269, 5438, 27624, 5716, 786, 1780, 936, 7301, 3664, 855, 786, 1869, 3068, 606, 11991, 11411, 281, 2348, 547, 28570, 741, 1445, 1142, 942, 713, 7301, 3375, 568, 4843, 563, 24375, 940, 5716, 723, 519, 6574, 19319, 607, 789, 1376, 1022, 3014, 609, 606, 13429, 602, 782, 3681, 616, 14323, 269, 9453, 519, 1995, 540, 14027, 998, 519, 1565, 7455, 267, 606, 17071, 4781, 786, 2014, 1007, 5716, 22303, 269, 901, 1305, 3724, 568, 538, 1840, 547, 1022, 824, 7580, 9073, 789, 786, 3921, 27274, 1118, 538, 741, 1101, 1906, 3756, 269, 8771, 3664, 616, 513, 4057, 1505, 540, 19459, 6345, 2773, 998, 5578, 607, 621, 31426, 811, 5702, 609, 538, 23024, 1466, 982, 17418, 563, 1103, 4156, 18696, 1107, 21864, 10312, 454, 26589, 609, 3246, 4277, 3664, 267, 9858, 946, 4835, 3666, 547, 2333, 556, 2452, 1871, 676, 7598, 2789, 10092, 547, 11802, 269, 1452, 616, 28836, 2994, 610, 11507, 5716, 666, 11654, 538, 1931, 547, 3035, 519, 3119, 6662, 269, 634, 2034, 3483, 540, 18378, 18696, 568, 547, 2697, 543, 1852, 8789, 2994, 282, 10092, 547, 11802, 799, 11566, 569, 2709, 519, 6574, 4960, 540, 11802, 563, 2026, 5716, 267, 621, 568, 538, 938, 2470, 547, 11441, 585, 6099, 5079, 538, 3756, 269, 1403, 513, 1880, 4640, 568, 1336, 547, 581, 8789, 267, 782, 824, 10092, 547, 11802, 1831, 17071, 543, 786, 581, 16053, 676, 829, 21082, 543, 25982, 5716, 269, 901, 16094, 7182, 556, 2452, 1871, 607, 3014, 8390, 3587, 3908, 543, 1256, 25276, 281, 513, 16950, 602, 13289, 513, 3014, 883, 8806, 513, 11015, 7996, 547, 581, 12193, 563, 25363, 13586, 18378, 18696, 1107, 15753, 3311, 454, 1103, 4156, 18696, 3096, 1079, 10850, 547, 2936, 7862, 1063, 3014, 5079, 269, 634, 1101, 5943, 568, 547, 4019, 513, 3690, 1438, 20556, 799, 10039, 513, 4336, 610, 1942, 7455, 950, 10442 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 14960, 540, 713, 5339, 1106, 543, 2263, 922, 10083, 2221, 780, 20058, 267, 1577, 721, 4983, 1018, 13054, 513, 31145, 1650, 269, 2311, 922, 4295, 267, 621, 3322, 513, 1391, 267, 2356, 5473, 2951, 998, 14542, 11182, 267, 9808, 9853, 609, 2591, 543, 8062, 269, 1717, 267, 7429, 2757, 7045, 8941, 267, 891, 15322, 849, 4196, 607, 6472, 585, 7096, 26126, 543, 7004, 269, 1358, 2099, 519, 1480, 3406, 585, 2495, 267, 3483, 267, 543, 4276, 609, 1945, 3152, 982, 13951, 269, 10705, 29689, 609, 3909, 4798, 267, 789, 2721, 2390, 18840, 20200, 531, 6698, 543, 18305, 5432, 2066, 1585, 4529, 543, 5132, 5389, 780, 257, 303, 559, 15317, 781, 18776, 2437, 2854, 1247, 645, 684, 12505, 729, 29802, 585, 1010, 1875, 935, 845, 626, 4978, 267, 5713, 607, 938, 13654, 1257, 269, 898, 22281, 338, 519, 9661, 540, 4168, 267, 945, 2377, 10225, 593, 513, 829, 559, 748, 3460, 689, 519, 4975, 540, 20121, 2315, 547, 519, 22966, 17155, 4975, 267, 25884, 3875, 9465, 2059, 519, 1259, 269, 3962, 4161, 4564, 1114, 3344, 540, 8103, 781, 6560, 1996, 5609, 543, 31112, 267, 5356, 4030, 883, 519, 2470, 540, 9409, 267, 19807, 267, 11419, 267, 543, 20778, 269, 6736, 1373, 7184, 12082, 538, 17557, 8567, 267, 1082, 540, 922, 4245, 16637, 11705, 337, 1400, 6302, 267, 6949, 908, 24080, 609, 3988, 7488, 540, 741, 1808, 1212, 2644, 610, 10080, 780, 763, 1379, 540, 31145, 2984, 6013, 538, 741, 2702, 547, 14377, 1950, 10952, 543, 24396, 21437, 883, 11541, 2833, 269, 1635, 1268, 4328, 7493, 2035, 267, 4589, 1118, 873, 811, 3015, 267, 7551, 14123, 4514, 8223, 543, 8086, 269, 1280, 3236, 267, 27951, 2677, 335, 1515, 538, 834, 303, 559, 15317, 781, 18776, 257, 24151, 21817, 3294, 267, 3246, 15889, 1106, 547, 606, 6382, 683, 12712, 748, 7553, 269, 6684, 267, 6215, 965, 540, 2677, 335, 1180, 3587, 513, 21055, 32761, 602, 1590, 581, 21986, 539, 267, 30118, 1738, 540, 4965, 543, 964, 15684, 269, 3414, 971, 11269, 267, 3988, 2744, 3407, 5380, 827, 2933, 543, 741, 1158, 780, 11101, 267, 4207, 2486, 5170, 547, 1265, 1871, 538, 891, 3504, 6386, 269, 7073, 14624, 540, 5929, 1568, 899, 834, 4692, 26248, 24079, 257, 543, 834, 19667, 710, 1290, 9037, 257, 1140, 652, 547, 11972, 9029, 540, 891, 15851, 8941, 269, 5015, 267, 2442, 9413, 543, 7641, 3126, 971, 607, 834, 763, 7083, 540, 519, 681, 902, 2437, 834, 29228, 540, 774, 14772, 2437, 543, 1256, 1453, 781, 14318, 834, 13510, 20345, 281, 634, 7831, 5794, 321, 2658, 2437, 6451, 2147, 4798, 267, 11744, 875, 8471, 1480, 9620, 2611, 3586, 5103, 4657, 8658, 780, 1103, 3932, 267, 4974, 31145, 2984, 3091, 3638, 3255, 585, 3695, 4909, 2055, 827, 6228, 267, 13919, 267, 543, 17035, 269, 1306, 7152, 676, 645, 684, 12505, 781, 834, 303, 559, 15317, 781, 18776, 2437, 891, 5931, 1683, 2189, 5867, 585, 2502, 6267, 538, 2565, 5717, 4478, 7881, 267, 3961, 267, 2146, 267, 543, 3661, 1949, 269, 6787, 14648, 12777, 610, 14165, 1227, 267, 891, 6386, 5401, 721, 547, 2015, 1141, 649, 2097, 689, 267, 1141, 649, 616, 2469, 267, 543, 1018, 4229, 3337, 938, 10092, 269, 4475, 267, 6220, 873, 883, 4081, 11407, 18327, 1898, 585, 14237, 1134, 25454, 2043, 5827, 540, 10188, 3309, 1514, 8916, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 7312, 2228, 3391, 547, 27185, 3174, 585, 547, 7340, 713, 2528, 6799, 10299, 15469, 269, 3643, 541, 281, 1806, 6999, 16065, 539, 593, 3883, 2035, 269, 4628, 267, 7718, 908, 5232, 666, 1711, 5225, 1063, 24262, 543, 6402, 540, 3618, 610, 17048, 269, 634, 2953, 26671, 610, 1582, 268, 1636, 20137, 540, 707, 590, 2454, 6075, 267, 2910, 305, 301, 2207, 4306, 24535, 1931, 267, 2013, 610, 4984, 1058, 5225, 8242, 269, 634, 7746, 17372, 263, 525, 264, 2257, 2488, 17808, 269, 7490, 5269, 1378, 552, 17733, 2349, 4169, 11795, 3720, 1040, 634, 946, 13485, 264, 596, 729, 7746, 264, 8385, 538, 513, 24084, 2287, 10564, 269, 7490, 581, 20593, 1540, 552, 17733, 1913, 1040, 1411, 949, 2291, 713, 17284, 547, 1152, 547, 2947, 2093, 269, 634, 2228, 3391, 547, 27185, 3174, 585, 26725, 7848, 568, 1031, 269, 634, 2104, 6216, 568, 1224, 269, 634, 812, 2359, 4984, 814, 6508, 269, 6426, 281, 20588, 267, 11404, 281, 3212, 778, 335, 527, 4964, 267, 476, 1001, 272, 269, 711, 1569, 602, 596, 616, 711, 513, 2990, 269, 2659, 3045, 8462, 568, 15538, 519, 3606, 31705, 540, 4566, 269, 7490, 581, 513, 1318, 23603, 609, 513, 10478, 7746, 282, 1305, 930, 18798, 547, 513, 12854, 610, 1482, 948, 282, 610, 946, 930, 3688, 563, 288, 1276, 3657, 21647, 593, 2993, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 16337, 1315, 4168, 1315, 25839, 1299, 1325, 5586, 800, 1315, 15815, 15317, 781, 18776, 16654, 11470, 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, 3848, 476, 278, 281, 15213, 540, 20309, 543, 595, 839, 11208, 538, 3013, 781, 11572, 23721, 692, 7072, 912, 26466, 4520, 540, 4082, 568, 1419, 2808, 519, 22294, 540, 9111, 267, 3850, 4961, 547, 4497, 538, 1930, 11407, 267, 3180, 11221, 8387, 18177, 267, 543, 6536, 2797, 7589, 269, 901, 3184, 12538, 883, 519, 1950, 2078, 1063, 5191, 540, 4633, 267, 24890, 267, 543, 3540, 23118, 1369, 519, 2796, 540, 1977, 2229, 269, 1635, 3695, 3140, 2665, 267, 4207, 9840, 267, 543, 3656, 9551, 757, 267, 713, 3184, 6663, 547, 16491, 1053, 609, 513, 13857, 1620, 540, 891, 2152, 1247, 8716, 2565, 3206, 543, 2079, 780, 4089, 594, 281, 8466, 12745, 910, 3883, 15051, 538, 3345, 4000, 630, 4350, 280, 268, 3707, 273, 264, 543, 922, 8177, 593, 5131, 16594, 692, 763, 6939, 545, 1349, 3177, 693, 519, 4098, 540, 713, 3184, 23456, 693, 519, 2956, 540, 8497, 1863, 4633, 1282, 2053, 540, 2112, 543, 4655, 269, 4438, 2622, 2782, 4083, 267, 5518, 15284, 667, 269, 17619, 9783, 15445, 11352, 476, 279, 3199, 273, 267, 7333, 940, 7292, 7130, 538, 8878, 6080, 543, 5313, 8041, 269, 4014, 713, 1931, 1705, 711, 12799, 2232, 24890, 267, 621, 1305, 606, 1898, 30675, 585, 7863, 1367, 22624, 1256, 1282, 29053, 269, 5047, 267, 519, 10966, 7040, 2013, 14033, 642, 269, 16506, 630, 4350, 272, 264, 3964, 602, 1991, 27047, 842, 1107, 519, 2259, 540, 7303, 1344, 23425, 1354, 8313, 1107, 729, 796, 6247, 6627, 896, 519, 3689, 14821, 8259, 972, 11478, 513, 2312, 543, 1459, 8594, 269, 1452, 8978, 2621, 5031, 519, 10347, 3666, 1063, 3084, 3354, 4145, 543, 17420, 3540, 23118, 971, 607, 5191, 540, 4082, 780, 4089, 4083, 281, 7073, 21784, 338, 547, 15213, 540, 20309, 543, 12634, 13891, 622, 692, 1103, 2221, 781, 3059, 2085, 267, 6937, 547, 5191, 540, 4082, 8451, 538, 1585, 3029, 267, 8151, 689, 2228, 18275, 543, 13842, 4633, 547, 13178, 543, 1239, 4015, 269, 4317, 2923, 5867, 267, 2899, 688, 6150, 607, 2645, 585, 24339, 520, 1944, 1702, 543, 16779, 12790, 9739, 267, 1631, 3068, 9880, 585, 7175, 16079, 20830, 267, 25749, 11044, 267, 543, 6882, 18616, 602, 24183, 2635, 18523, 11407, 269, 3958, 267, 8441, 538, 5841, 4987, 543, 3684, 1565, 10460, 3209, 2591, 547, 15725, 2228, 1543, 1510, 1102, 2590, 532, 2390, 4909, 13338, 20038, 780, 28757, 9840, 4478, 1863, 4633, 1445, 593, 2055, 899, 2436, 9945, 11129, 547, 771, 28717, 924, 11786, 10529, 610, 952, 4357, 3549, 1058, 581, 4847, 547, 524, 16428, 17119, 626, 1543, 593, 741, 5867, 269, 1280, 3236, 267, 15061, 6085, 1807, 5484, 1744, 777, 10098, 781, 18531, 693, 3875, 12621, 17275, 17600, 543, 7125, 585, 23545, 566, 1813, 547, 1010, 9228, 703, 26985, 5784, 2509, 12102, 2516, 269, 6684, 267, 10509, 23766, 9365, 543, 12108, 5185, 1394, 31988, 950, 789, 17049, 5449, 7022, 18496, 11686, 1310, 519, 5130, 476, 277, 7167, 20738, 678, 3999, 267, 9870, 4145, 827, 9746, 3310, 593, 1863, 4633, 780, 4089, 8633, 281, 13751, 2776, 1027, 757, 543, 7225, 2772, 19873, 725, 692, 8139, 19506, 5480, 3664, 19286, 919, 875, 519, 4140, 26547, 3705, 1206, 543, 10039, 13338, 3741, 7282, 1863, 4633, 269, 2368, 1883, 2665, 20515, 713, 1448, 1331, 1384, 272, 269, 15952, 29118, 642, 269, 11882, 630, 3422, 280, 2567, 12878, 2082, 602, 12982, 4633, 3112, 581, 19275, 8259, 621, 1651, 2572, 31873, 1876, 1652, 2962, 563, 273, 269, 7147, 642, 269, 9652, 630, 2735, 280, 2567, 681, 27968, 602, 9206, 8781, 13054, 12572, 4633, 6870, 676, 519, 3689, 14821, 563, 274, 269, 2480, 1156, 1188, 642, 269, 2136, 2276, 630, 4489, 280, 2567, 772, 874, 1245, 1221, 519, 24235, 540, 2043, 945, 7856, 6978, 7410, 28409, 4187, 1996, 4108, 931, 5524, 1282, 13431, 296, 267, 10962, 519, 1412, 27234, 543, 1459, 8594, 262, 1449, 563, 275, 269, 18171, 601, 6229, 3427, 10588, 642, 269, 918, 7795, 331, 1889, 1512, 630, 2735, 279, 2567, 4477, 323, 602, 3506, 949, 3635, 21107, 1852, 936, 2875, 12326, 952, 789, 4196, 24099, 5301, 780, 4322, 5947, 902, 6542, 1312, 519, 3376, 4027, 6488, 539, 547, 5191, 540, 4082, 543, 8320, 1141, 17756, 4019, 267, 971, 607, 25848, 523, 640, 267, 8165, 1913, 267, 1219, 14212, 267, 543, 1651, 924, 618, 780, 6962, 1384, 2026, 10423, 2429, 1686, 543, 11173, 883, 2413, 2486, 267, 11495, 606, 11466, 1063, 7347, 5191, 540, 4082, 543, 2556, 7687, 3788, 4101, 2943, 2629, 585, 30176, 11180, 2418, 269, 4197, 891, 13253, 3340, 2502, 609, 6946, 10952, 267, 4052, 267, 543, 10883, 1440, 644, 1113, 9270, 269, 3414, 11826, 6514, 543, 8086, 267, 1053, 666, 1831, 5483, 5171, 5827, 540, 5935, 7391, 1472, 3540, 23118, 543, 3540, 2924, 538, 519, 7706, 540, 6214, 543, 3564, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 9349, 15051, 769, 3345, 4000, 1656, 634, 5664, 5101, 476, 4350, 280, 476, 3707, 273, 476, 1001, 276, 454, 9349, 15051, 769, 3345, 4000, 1656, 634, 5664, 5101, 476, 4350, 280, 476, 3707, 273, 476, 1001, 276, 454, 2005, 1058, 1265, 6933, 730, 602, 938, 12353, 1433, 15051, 538, 3345, 4000, 543, 519, 602, 1153, 3091, 1100, 2376, 538, 5773, 1281, 607, 10505, 593, 1022, 1514, 16846, 267, 711, 13187, 267, 585, 4763, 267, 616, 547, 17589, 1031, 538, 853, 580, 2401, 269, 1857, 282, 607, 631, 2478, 814, 519, 1433, 15051, 538, 3345, 4000, 1040, 1403, 3744, 723, 3688, 267, 621, 3587, 602, 540, 1433, 15051, 789, 616, 856, 16175, 2253, 547, 1118, 2933, 538, 6990, 602, 616, 1022, 855, 519, 1034, 3160, 540, 1346, 8850, 9053, 5777, 540, 799, 789, 616, 1007, 269, 2924, 267, 621, 3976, 568, 547, 2196, 856, 267, 814, 5645, 676, 1913, 4171, 1433, 15051, 568, 602, 789, 666, 2864, 267, 538, 1523, 267, 24044, 2933, 585, 1210, 1031, 538, 8865, 269, 1053, 786, 1205, 741, 3604, 676, 1739, 543, 267, 6340, 827, 741, 1053, 267, 1433, 15051, 538, 3345, 4000, 6286, 267, 6708, 543, 3448, 21113, 267, 2754, 593, 1379, 12926, 7488, 607, 4340, 705, 334, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 623, 27773, 13316, 1315, 1977, 6554, 1315, 2817, 1315, 6406, 19115, 625, 543, 6406, 7126, 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 ]

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

[ 3037, 7509, 16881, 4028, 4879, 540, 2656, 32704, 5757, 11166, 3334, 780, 275, 269, 276, 11192, 4826, 19554, 1323, 28109, 630, 307, 310, 6347, 264, 17325, 725, 692, 13707, 1216, 4859, 630, 307, 16703, 264, 4564, 519, 2040, 540, 18714, 1216, 6740, 538, 1585, 3029, 267, 1519, 15780, 267, 3037, 7509, 267, 6777, 267, 543, 2627, 1216, 4703, 269, 3400, 13901, 2242, 4611, 689, 15088, 538, 570, 16703, 666, 581, 9571, 3842, 6131, 9682, 28040, 574, 4479, 13485, 899, 16998, 19781, 630, 24836, 6143, 18401, 543, 8693, 15331, 264, 543, 16998, 19781, 7427, 268, 4002, 269, 9182, 267, 570, 16703, 2026, 666, 581, 6059, 676, 9236, 4767, 8904, 7648, 1996, 4704, 3631, 269, 4595, 3500, 32704, 5757, 11166, 3334, 5097, 4096, 2390, 15780, 2157, 543, 2620, 3037, 7509, 267, 10128, 29375, 6347, 1239, 3648, 10597, 519, 6111, 540, 2949, 20359, 11236, 780, 275, 269, 277, 14271, 1120, 2065, 13979, 281, 14216, 1516, 11545, 5211, 2598, 8408, 6480, 23660, 692, 3528, 9256, 9682, 7422, 540, 3037, 7509, 267, 13247, 267, 543, 570, 16703, 2026, 267, 3173, 723, 2919, 606, 5499, 1935, 1634, 607, 5254, 3918, 4456, 630, 306, 320, 307, 22972, 2861, 14840, 4752, 16214, 1656, 29570, 1040, 1306, 13890, 4505, 267, 713, 1505, 18252, 513, 3551, 2203, 6189, 547, 14384, 6218, 2656, 32704, 543, 3500, 32704, 5757, 11166, 3334, 269, 30272, 267, 891, 2418, 616, 31498, 600, 730, 547, 5352, 3232, 5757, 11166, 9193, 269, 13018, 267, 13247, 543, 3037, 7509, 1239, 3565, 2509, 12570, 2656, 32704, 3334, 267, 6466, 570, 16703, 2026, 7520, 3067, 2305, 540, 741, 13413, 1765, 338, 869, 32704, 3334, 780, 275, 269, 278, 20074, 5254, 3918, 4456, 4635, 8629, 15369, 19554, 7010, 692, 19931, 6388, 540, 5254, 3918, 4456, 19329, 15774, 5610, 540, 19635, 9682, 14449, 543, 3608, 4393, 7207, 269, 30855, 1843, 2861, 4859, 1949, 6087, 6099, 3919, 267, 23023, 267, 543, 2079, 540, 4620, 17879, 974, 8397, 9682, 21517, 269, 6206, 9270, 950, 7598, 5254, 3918, 4456, 1210, 744, 7034, 1331, 1384, 320, 264, 23496, 954, 6016, 762, 12043, 281, 9208, 1944, 9682, 10471, 12043, 5849, 17356, 2066, 8795, 9300, 2010, 543, 5692, 11775, 269, 22034, 1582, 17393, 21564, 12043, 899, 4880, 290, 5263, 2636, 4674, 1652, 28453, 543, 16163, 532, 540, 26945, 14449, 1369, 744, 7034, 5054, 780, 321, 264, 2480, 531, 762, 4994, 532, 6127, 281, 31478, 13214, 532, 12346, 2390, 7347, 27034, 3406, 10342, 269, 12039, 532, 2645, 4481, 2966, 585, 744, 7034, 267, 971, 607, 8835, 590, 274, 8564, 267, 11880, 924, 27034, 19707, 1510, 8506, 942, 21791, 2407, 1239, 18767, 780, 322, 264, 23155, 1242, 32262, 281, 14409, 2019, 6058, 748, 9682, 1239, 11562, 1218, 6252, 1436, 2994, 269, 14146, 532, 7856, 7384, 10850, 7258, 744, 7034, 6908, 6050, 1939, 14260, 14021, 4247, 2404, 609, 26399, 3818, 21299, 9682, 20555, 780, 323, 264, 19405, 1852, 543, 8810, 766, 9477, 281, 19737, 9687, 3301, 588, 2931, 543, 3403, 14449, 3340, 11826, 4528, 1852, 543, 22871, 12319, 269, 22685, 1154, 8061, 302, 1186, 1655, 2853, 5849, 10250, 1464, 2429, 519, 1646, 29488, 780, 275, 269, 279, 7464, 28131, 10241, 543, 8892, 19648, 692, 4306, 3918, 4456, 28837, 875, 1843, 2861, 4859, 1949, 7668, 3209, 3621, 8906, 676, 7561, 19713, 5318, 9424, 540, 9682, 1239, 269, 7351, 1382, 3646, 1445, 593, 17975, 4540, 6620, 267, 6220, 3606, 9682, 2616, 1963, 267, 543, 3695, 1007, 18817, 585, 19654, 3156, 269, 11086, 267, 891, 7760, 3180, 10373, 1761, 585, 5355, 3375, 6194, 3157, 4478, 1216, 4199, 2359, 267, 9568, 3210, 4058, 267, 543, 2916, 1689, 17846, 2994, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 26239, 1458, 1063, 9682, 7422, 540, 3037, 7509, 543, 1216, 4859, 22114, 585, 20359, 16759, 454, 1607, 1957, 6799, 606, 5499, 1935, 267, 5254, 3918, 4456, 1107, 15223, 307, 22972, 2861, 14840, 4752, 16214, 1656, 29570, 1107, 547, 17589, 3232, 5757, 11166, 543, 20359, 9193, 689, 9682, 7422, 540, 3037, 7509, 267, 13247, 267, 543, 2698, 1216, 4859, 22114, 630, 307, 16703, 2026, 1040, 10738, 513, 1360, 2241, 2203, 2497, 267, 13247, 543, 3037, 7509, 1239, 616, 1031, 547, 7447, 519, 2656, 32704, 5757, 11166, 5057, 1247, 570, 16703, 2026, 616, 1031, 585, 13844, 922, 14911, 851, 267, 1775, 4318, 1421, 519, 3500, 32704, 5757, 11166, 5057, 269, 634, 1079, 616, 1287, 3773, 1927, 547, 3489, 5757, 11166, 9193, 563, 763, 1505, 568, 7318, 936, 519, 14967, 5211, 16935, 585, 519, 1974, 476, 1220, 274, 1700, 1001, 277, 676, 1210, 13247, 1239, 689, 519, 23427, 14175, 6420, 25732, 17030, 630, 15045, 12613, 264, 11638, 1606, 520, 22972, 2776, 27457, 2787, 5811, 630, 26774, 5183, 1070, 3037, 7509, 1239, 689, 519, 3864, 6611, 10837, 781, 8693, 7827, 19541, 630, 2464, 288, 595, 5746, 1070, 543, 2698, 1216, 4859, 1239, 18222, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 19766, 21585, 1315, 3590, 10029, 1315, 19554, 1299, 4825, 4471, 1998, 1315, 8629, 15369, 19554, 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, 769, 713, 1576, 1770, 267, 649, 5490, 883, 519, 2565, 1909, 24027, 1072, 2533, 971, 607, 2168, 3797, 543, 561, 2096, 335, 1117, 9047, 2359, 1404, 538, 7175, 11361, 2043, 547, 2661, 9108, 543, 20354, 538, 741, 1378, 5321, 269, 634, 9183, 4843, 8711, 519, 2591, 5185, 676, 3885, 945, 616, 12391, 585, 10172, 6068, 3283, 543, 519, 2956, 540, 4466, 19579, 543, 17519, 1416, 7426, 269, 1284, 786, 2263, 875, 2564, 4648, 666, 4217, 538, 5466, 891, 4145, 998, 10319, 15834, 4485, 780, 20058, 267, 1577, 781, 4983, 519, 1523, 540, 24027, 1072, 2533, 543, 922, 4644, 1369, 3782, 11865, 269, 4340, 547, 519, 13163, 540, 8534, 10803, 630, 289, 11862, 1070, 24027, 1072, 23909, 20039, 585, 5111, 476, 2568, 260, 540, 2698, 7694, 538, 519, 3782, 2872, 538, 476, 1001, 280, 269, 1452, 22825, 7854, 3309, 10459, 1519, 10368, 267, 9354, 267, 1463, 3461, 1416, 267, 543, 1489, 2533, 269, 1306, 938, 2551, 6502, 267, 972, 568, 2810, 3747, 585, 9952, 4648, 5827, 540, 12419, 2298, 1416, 3358, 547, 2743, 1950, 2115, 2404, 609, 5312, 10108, 543, 9124, 780, 16498, 16293, 20647, 538, 10442, 3350, 14524, 543, 7598, 2126, 2994, 6322, 693, 5355, 10688, 267, 4227, 1928, 267, 7303, 6281, 8374, 267, 543, 7393, 2949, 6198, 4390, 269, 10738, 12908, 12278, 5468, 267, 789, 1419, 2232, 2085, 5829, 2242, 7133, 3666, 267, 4222, 267, 16608, 267, 543, 8112, 269, 5047, 267, 789, 949, 1683, 7840, 3823, 2825, 12381, 543, 13261, 3937, 1898, 585, 4509, 7115, 543, 5009, 2922, 5605, 1637, 269, 1635, 10128, 2963, 2861, 2259, 4808, 3964, 676, 3906, 899, 519, 1977, 8447, 10657, 5948, 630, 4338, 14011, 264, 543, 2622, 32700, 585, 8447, 10657, 630, 310, 290, 8976, 1070, 2168, 16293, 3565, 3648, 2509, 17306, 1072, 4093, 1851, 20650, 2713, 693, 1753, 780, 299, 2096, 335, 1117, 9047, 2359, 4564, 1776, 2629, 2460, 540, 7800, 2075, 732, 4749, 11402, 676, 3782, 9439, 269, 901, 2783, 3335, 14340, 1813, 547, 15176, 2095, 1369, 519, 30754, 1062, 4611, 538, 13250, 540, 3940, 11656, 5714, 3056, 547, 2571, 5160, 11926, 269, 898, 4122, 28107, 1739, 2860, 5574, 5473, 10551, 1191, 794, 543, 5982, 3797, 282, 2705, 267, 3119, 3029, 849, 2291, 1510, 5817, 30279, 3599, 269, 9453, 3617, 6304, 267, 2550, 3068, 4220, 8151, 689, 3968, 18687, 547, 4389, 2039, 540, 5163, 543, 19847, 2960, 8699, 269, 18043, 561, 2096, 335, 1117, 9047, 2359, 3322, 23499, 5698, 6220, 2609, 540, 8261, 3797, 267, 13496, 6512, 1645, 267, 3635, 13310, 267, 1582, 31193, 2069, 267, 543, 13178, 585, 1761, 3524, 601, 2801, 269, 26133, 561, 2096, 335, 1117, 9047, 16293, 8036, 538, 7463, 2553, 971, 607, 13159, 5463, 784, 24304, 10657, 630, 7374, 307, 264, 2099, 7533, 3334, 540, 2500, 2126, 26336, 780, 21010, 532, 891, 3584, 1394, 547, 519, 3355, 642, 793, 8291, 267, 29466, 5078, 10457, 28429, 1312, 2930, 6791, 543, 14375, 1983, 2556, 585, 3811, 5610, 883, 6213, 6469, 5054, 13514, 1713, 2591, 269, 12333, 5121, 267, 2146, 2200, 267, 543, 18019, 8041, 6131, 547, 11093, 840, 1606, 920, 2989, 10986, 13822, 14323, 3681, 17709, 540, 7156, 269, 3958, 267, 16107, 2029, 5867, 16881, 1569, 547, 5318, 20115, 540, 17053, 13007, 1247, 3246, 2645, 585, 4282, 11974, 267, 19609, 19027, 267, 543, 2773, 6268, 269, 12056, 538, 5571, 2792, 609, 5116, 5234, 5849, 12905, 6571, 540, 28928, 2152, 543, 11942, 15364, 540, 1416, 1898, 585, 14237, 29037, 1063, 7218, 543, 3028, 7426, 780, 1103, 3932, 267, 30015, 2104, 19353, 609, 13654, 1702, 4478, 24027, 1072, 2533, 267, 3226, 2168, 3797, 543, 561, 2096, 335, 1117, 9047, 2359, 267, 16877, 873, 547, 5838, 6099, 1416, 585, 22242, 964, 3931, 547, 2611, 538, 5432, 10450, 1282, 2663, 5933, 540, 1272, 269, 4197, 4207, 3466, 5935, 3782, 6765, 1949, 5916, 609, 4052, 3498, 540, 4143, 1983, 1115, 6087, 6209, 7418, 4724, 4180, 14064, 1881, 543, 16180, 2833, 585, 1346, 10188, 519, 10848, 7915, 538, 10172, 3157, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 298, 13873, 779, 476, 9262, 4458, 6040, 3158, 6368, 8815, 547, 723, 2576, 2097, 538, 513, 1906, 2395, 513, 3018, 547, 948, 609, 2777, 15209, 267, 7594, 7041, 543, 17365, 10918, 269, 27239, 779, 1044, 6998, 1200, 547, 3398, 948, 585, 3275, 2443, 2479, 2094, 1200, 3158, 779, 2295, 2042, 3459, 1818, 621, 2352, 585, 1200, 547, 1796, 1279, 2614, 547, 5965, 513, 7594, 267, 1577, 4805, 2973, 519, 2777, 269, 1809, 1200, 3158, 6854, 6031, 602, 1352, 4769, 1406, 1616, 513, 24928, 538, 519, 2777, 543, 1352, 4769, 1406, 1616, 547, 1847, 689, 1200, 1753, 269, 2701, 6368, 882, 5034, 267, 2705, 267, 950, 1352, 8593, 543, 15354, 538, 519, 6595, 4055, 609, 513, 7745, 21015, 269, 4014, 17212, 1386, 602, 1200, 3158, 786, 3398, 948, 267, 1631, 27239, 779, 4161, 568, 547, 1265, 513, 11727, 267, 30190, 267, 2186, 267, 22973, 1268, 609, 7247, 1200, 3158, 786, 1745, 6899, 538, 1200, 1753, 269, 1548, 779, 519, 1655, 1259, 547, 1265, 519, 948, 1352, 779, 5275, 888, 310, 528, 11538, 827, 519, 3106, 543, 1072, 540, 707, 9808, 559, 610, 2192, 4587, 1920, 4759, 693, 1753, 666, 8532, 707, 4555, 267, 1818, 621, 2352, 547, 1445, 593, 824, 1271, 7569, 538, 707, 1272, 269, 5525, 1397, 602, 1034, 4079, 2443, 683, 320, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 631, 19075, 1315, 20466, 2657, 7896, 1315, 8447, 10657, 1315, 700, 2096, 335, 1117, 9047, 5004, 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, 8080, 267, 2104, 1158, 3332, 17701, 256, 4653, 267, 649, 616, 2469, 547, 7832, 593, 513, 13858, 3460, 998, 942, 543, 2230, 547, 3605, 519, 1764, 540, 835, 6909, 5856, 593, 2984, 602, 1004, 782, 1472, 519, 8608, 3136, 547, 2972, 269, 2334, 2278, 568, 20353, 3241, 632, 595, 969, 656, 525, 15223, 8491, 571, 267, 1732, 1634, 3274, 607, 595, 969, 656, 525, 267, 945, 4050, 2740, 519, 4583, 3209, 5213, 2372, 1460, 1774, 1259, 1394, 538, 519, 476, 8182, 271, 338, 269, 1924, 521, 18150, 909, 707, 9640, 543, 1205, 4712, 585, 606, 7045, 4904, 609, 669, 2526, 787, 267, 9345, 267, 17409, 267, 543, 4245, 827, 1373, 3020, 547, 13951, 780, 5331, 596, 5030, 1282, 519, 2395, 950, 15438, 543, 30842, 12199, 5318, 3338, 543, 29843, 887, 3139, 519, 24781, 3168, 585, 9035, 269, 1452, 7086, 656, 21847, 1131, 4339, 22645 ]

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

[ 7726, 7813, 585, 6481, 281, 10334, 3436, 25115, 12594, 3436, 11644, 268, 274, 3436, 1627, 476, 1839, 269, 661, 3008, 312, 269, 2423, 333, 476, 1911, 269, 4107, 4583, 1623, 25027, 9436, 21338, 24059, 11486, 1470, 325, 23459, 6500, 568, 630, 320, 264, 21193, 13681, 1461, 630, 321, 264, 21193, 4592, 14137, 553, 630, 322, 264, 21193, 4592, 19905, 276, 264, 19554, 19871, 1547, 19554, 5946, 5631, 4558, 7777, 12274, 971, 607, 11379, 538, 707, 1560, 269, 11635, 267, 585, 1383, 2073, 568, 606, 9357, 2838, 585, 519, 5250, 540, 24562, 267, 519, 1292, 7293, 5057, 540, 2699, 1973, 2281, 269, 12113, 761, 514, 2443, 513, 4859, 3940, 2443, 21560, 543, 22651, 1996, 519, 8801, 2360, 540, 4430, 4401, 538, 707, 1560, 563, 327, 684, 614, 11777, 3014, 531, 1811, 21181, 2450, 476, 273, 538, 4699, 1492, 6952, 1433, 5758, 339, 758, 14623, 2847, 12310, 4337, 1149, 4487, 4289, 25975, 3960, 532, 538, 606, 639, 562, 327, 572, 341, 9407, 1560, 1148, 21895, 8265, 322, 691, 517, 540, 2261, 331, 4011, 334, 16600, 8279, 2282, 803, 329, 1115, 976, 2915, 4230, 549, 454, 1708, 273, 269, 476, 275, 269, 476, 1428, 269, 5788, 1548, 616, 6886, 2285, 1079, 1806, 4147, 476, 1015, 286, 9537, 540, 30200, 269, 6201, 616, 4401, 7626, 267, 22670, 7626, 267, 6985, 924, 267, 7510, 1679, 267, 19695, 267, 543, 524, 28240, 269, 6348, 1922, 518, 9317, 6886, 281, 1358, 2560, 26581, 7434, 6886, 616, 1336, 538, 1082, 2472, 269, 1280, 1383, 267, 538, 513, 1591, 6049, 267, 21247, 568, 1031, 547, 1118, 519, 4837, 269, 19077, 1756, 543, 27948, 616, 1031, 547, 1118, 519, 6007, 269, 18924, 4637, 616, 849, 606, 4853, 7777, 269, 5221, 540, 741, 21052, 267, 19987, 616, 1031, 585, 1082, 1919, 269, 901, 2882, 24200, 1031, 585, 5969, 543, 1135, 5109, 6993, 7777, 568, 513, 6923, 9648, 22803, 3693, 610, 7623, 2348, 606, 1931, 569, 4835, 2497, 543, 8984, 3114, 5888, 267, 12627, 1106, 267, 543, 2168, 3601, 269, 2560, 2381, 1968, 267, 6923, 9648, 24267, 4396, 609, 513, 17386, 3114, 5888, 543, 513, 3810, 10288, 10570, 11460, 282, 621, 568, 2356, 4646, 676, 3267, 288, 7777, 568, 606, 3693, 610, 3114, 7623, 602, 568, 7363, 26543, 543, 602, 814, 1044, 4646, 607, 513, 1267, 540, 17027, 3157, 269, 6201, 1331, 21247, 267, 21688, 1091, 1706, 6886, 267, 18287, 924, 267, 16247, 543, 519, 10036, 6886, 971, 607, 25697, 565, 9548, 543, 1159, 624, 924, 6993, 7777, 568, 606, 3693, 610, 3114, 7623, 602, 568, 7363, 26543, 543, 602, 814, 1044, 4646, 607, 513, 1267, 540, 17027, 3157, 269, 6201, 1331, 21247, 267, 21688, 1091, 1706, 6886, 267, 18287, 924, 267, 16247, 543, 519, 10036, 6886, 971, 607, 25697, 565, 9548, 543, 1159, 624, 924, 269, 30200, 616, 1419, 1031, 538, 519, 2504, 540, 23907, 269, 16544, 540, 6886, 305, 327, 617, 5255, 4592, 924, 269, 10910, 617, 5255, 4592, 924, 568, 513, 19941, 7777, 609, 4542, 281, 631, 333, 4596, 274, 269, 898, 814, 513, 5929, 9782, 1790, 1074, 2681, 267, 855, 15013, 666, 849, 581, 6960, 610, 12457, 269, 898, 3029, 2915, 1729, 1054, 610, 11002, 558, 2692, 14366, 14848, 899, 18287, 924, 267, 855, 621, 949, 849, 2049, 538, 26106, 716, 12792, 267, 30704, 267, 12162, 983, 267, 7762, 787, 18042, 267, 543, 7372, 6208, 269, 10910, 617, 5255, 4592, 924, 568, 1336, 538, 8652, 31516, 7626, 15532, 3267, 1323, 1648, 7777, 610, 7777, 4199, 568, 513, 4224, 23353, 609, 835, 610, 811, 3730, 2326, 269, 15531, 543, 29227, 7777, 2200, 3340, 519, 3498, 540, 519, 3741, 540, 20569, 269, 2368, 6886, 616, 1031, 607, 789, 616, 538, 519, 3037, 267, 2495, 789, 2154, 2370, 610, 1100, 3606, 4393, 269, 1280, 1383, 267, 17576, 18429, 267, 5070, 267, 18574, 267, 610, 6070, 630, 15595, 924, 3267, 14737, 5644, 616, 4396, 6878, 602, 616, 1459, 538, 2470, 543, 666, 581, 1500, 540, 835, 3693, 610, 811, 2609, 5916, 1927, 630, 23755, 7135, 1040, 7108, 267, 18234, 543, 3327, 616, 2609, 602, 1106, 6886, 593, 741, 1378, 269, 1358, 616, 1572, 5065, 2609, 269, 5502, 267, 8723, 10051, 6070, 568, 513, 3114, 7623, 602, 568, 1572, 4224, 6070, 267, 799, 568, 513, 7777, 3267, 2304, 1648, 7777, 610, 7777, 4199, 568, 513, 4224, 23353, 609, 835, 610, 811, 3730, 2326, 269, 15531, 543, 29227, 7777, 2200, 3340, 519, 3498, 540, 519, 3741, 540, 20569, 269, 2368, 6886, 616, 1031, 607, 789, 616, 538, 519, 3037, 267, 2495, 789, 2154, 2370, 610, 1100, 3606, 4393, 269, 1280, 1383, 267, 17576, 18429, 267, 5070, 267, 18574, 267, 610, 6070, 630, 15595, 924, 3267, 1708, 273, 269, 476, 274, 269, 476, 3066, 269, 5788, 13804, 564, 924, 267, 22104, 924, 267, 979, 996, 924, 267, 1929, 31354, 267, 543, 521, 3187, 924, 616, 782, 1806, 540, 4401, 6886, 269, 968, 20332, 7626, 892, 610, 968, 14259, 697, 11288, 7626, 892, 4016, 547, 7626, 602, 814, 513, 1164, 6871, 540, 2560, 1432, 616, 930, 1806, 540, 20060, 559, 6510, 6886, 286, 589, 1875, 3623, 6510, 7777, 568, 513, 7777, 602, 1281, 711, 3180, 21958, 25543, 28353, 269, 2368, 1806, 540, 1875, 3623, 6510, 6886, 616, 27911, 267, 9829, 1938, 267, 9829, 919, 3267, 26452, 1806, 1331, 7510, 1679, 3171, 306, 273, 267, 7523, 6511, 623, 321, 306, 267, 543, 838, 15595, 518, 924, 31626, 306, 538, 922, 6986, 13058, 1106, 269, 2368, 9829, 1938, 616, 24776, 607, 2959, 540, 8407, 899, 13058, 267, 1291, 267, 7601, 267, 543, 17646, 269, 12539, 919, 1452, 616, 1759, 593, 519, 19941, 9357, 267, 630, 4596, 274, 264, 273, 268, 269, 2836, 322, 924, 267, 6970, 4596, 274, 267, 543, 12373, 558, 924, 616, 19941, 6886, 269, 13804, 525, 924, 568, 513, 19941, 7777, 1031, 585, 6464, 267, 3595, 20398, 267, 13101, 4496, 543, 811, 269, 700, 788, 573, 565, 924, 700, 788, 573, 565, 924, 568, 513, 11909, 547, 13711, 544, 3821, 1031, 607, 606, 7626, 540, 16864, 543, 607, 513, 17576, 1570, 269, 5395, 335, 20634, 5395, 335, 20634, 910, 23009, 545, 7725, 1031, 538, 4070, 267, 6189, 543, 22272, 573, 776, 960, 269, 9605, 4103, 1299, 30200, 11357, 560, 1734, 616, 1612, 3530, 1231, 543, 19386, 1806, 540, 7777, 6878, 616, 26328, 2230, 543, 814, 2597, 2339, 568, 3388, 602, 513, 3154, 547, 513, 5277, 28198, 568, 519, 1689, 538, 2339, 689, 513, 5277, 547, 513, 3154, 11517, 1436, 568, 602, 1689, 540, 2339, 689, 513, 4396, 547, 513, 5277, 13621, 568, 519, 1689, 540, 2339, 689, 513, 4396, 547, 513, 3154, 1016, 3916, 566, 568, 513, 1689, 540, 2339, 689, 519, 1689, 540, 11517, 547, 513, 5277, 3267, 273, 2395, 3516, 5788, 590, 27567, 924, 269, 2160, 540, 4826, 31846, 3047, 7070, 7467, 14635, 2422, 546, 538, 281, 5463, 20753, 4773, 282, 4035, 749, 2044, 282, 590, 27567, 924, 269, 2160, 540, 4826, 31846, 9412, 12567, 269, 631, 3821, 269, 7756, 2560, 2381, 1968, 16005, 267, 14919, 540, 513, 7777, 538, 606, 29099, 1164, 5834, 269, 6168, 3368, 540, 519, 1634, 3114, 2609, 4865, 930, 17285, 3601, 269, 634, 2165, 4496, 267, 2705, 267, 568, 11603, 585, 1346, 3114, 2609, 602, 4865, 1079, 610, 811, 540, 519, 8984, 2168, 3601, 540, 8407, 630, 641, 13369, 267, 13811, 1006, 267, 544, 4150, 1464, 267, 535, 639, 2225, 264, 543, 616, 849, 1434, 26423, 540, 3002, 543, 5201, 3267, 288, 7777, 568, 606, 3693, 610, 3114, 7623, 602, 568, 7363, 26543, 543, 602, 814, 1044, 4646, 607, 513, 1267, 540, 17027, 3157, 269, 6201, 1331, 21247, 267, 21688, 1091, 1706, 6886, 267, 18287, 924, 267, 16247, 543, 519, 10036, 6886, 971, 607, 25697, 565, 9548, 543, 1159, 624, 924, 269, 1708, 272, 269, 476, 280, 269, 476, 280, 269, 3267, 6258, 519, 2495, 540, 513, 7777, 543, 1294, 1806, 540, 6886, 267, 971, 607, 4401, 267, 13101, 267, 543, 21247, 269, 6258, 827, 6886, 543, 741, 3601, 3267, 24618, 3163, 6997, 8018, 12474, 4813, 17291, 30200, 6997, 269, 20638, 281, 1677, 2697, 1114, 6886, 1759, 593, 741, 2168, 3601, 269, 10049, 2877, 1282, 519, 2978, 281, 25115, 22384, 15873, 282, 15011, 338, 10434, 1145, 17361, 282, 26488, 281, 3367, 998, 519, 3003, 5650, 1354, 4098, 519, 2978, 269, 1001, 280, 269, 476, 278, 269, 476, 866, 269, 5788, 1280, 1383, 267, 538, 519, 2013, 540, 3349, 6070, 630, 27845, 5141, 1070, 519, 14848, 616, 1500, 909, 540, 18695, 540, 9770, 630, 27845, 264, 12274, 543, 20841, 630, 5141, 264, 12274, 269, 3962, 9770, 9357, 568, 11303, 676, 3670, 20841, 12274, 269, 3962, 20841, 9357, 568, 11303, 676, 3670, 9770, 12274, 269, 898, 781, 1360, 16625, 267, 799, 568, 4010, 1018, 2306, 621, 513, 12627, 256, 7756, 6886, 723, 1114, 7636, 15885, 8160, 1725, 525, 924, 568, 513, 19941, 7777, 1031, 585, 6464, 267, 3595, 20398, 267, 13101, 4496, 543, 811, 269, 700, 788, 573, 565, 924, 700, 788, 573, 565, 924, 568, 513, 11909, 547, 13711, 544, 3821, 1031, 607, 606, 7626, 540, 16864, 543, 607, 513, 17576, 1570, 269, 5395, 335, 20634, 5395, 335, 20634, 910, 23009, 545, 7725, 1031, 538, 4070, 267, 6189, 543, 22272, 573, 776, 960, 269, 9605, 4103, 1299, 30200, 16631, 16610, 5410, 5962, 270, 3682, 12723, 623, 14701, 14288, 11621, 3267, 8921, 267, 594, 786, 1491, 856, 513, 7777, 3732, 543, 2307, 873, 875, 649, 666, 19665, 713, 4224, 11065, 761, 1479, 910, 1403, 513, 7777, 568, 554, 2459, 1229, 543, 519, 1267, 568, 513, 8869, 610, 1507, 1835, 29304, 267, 621, 568, 2808, 28221, 269, 2826, 1479, 6886, 4734, 513, 5386, 8869, 952, 29565, 3481, 267, 799, 568, 519, 1259, 547, 1449, 513, 7777, 547, 1294, 952, 621, 568, 28221, 269, 634, 5354, 540, 782, 6886, 616, 28221, 269, 1323, 1383, 568, 31763, 345, 23130, 616, 930, 1806, 540, 20060, 559, 6510, 6886, 286, 589, 1875, 3623, 6510, 7777, 568, 513, 7777, 602, 1281, 711, 3180, 21958, 25543, 28353, 269, 2368, 1806, 540, 1875, 3623, 6510, 6886, 616, 27911, 267, 9829, 1938, 267, 9829, 919, 3267, 1708, 273, 269, 476, 277, 269, 476, 1556, 269, 3267, 717, 2114, 616, 4190, 543, 1419, 4686, 267, 1818, 873, 3407, 269, 4107, 21889, 2097, 689, 7777, 14848, 269, 1280, 1383, 267, 6299, 625, 543, 1094, 653, 327, 2231, 616, 2759, 543, 3267, 2690, 1383, 25342, 568, 606, 5337, 15667, 4224, 6140, 1500, 689, 1114, 17114, 540, 519, 6886, 21247, 267, 21688, 1091, 1706, 543, 544, 3821, 607, 954, 6674, 539, 14848, 282, 513, 32498, 3267, 2026, 7150, 1657, 267, 29447, 538, 772, 30045, 3037, 1216, 729, 2147, 547, 1312, 11626, 18254, 543, 20359, 267, 7654, 10834, 13719, 5169, 540, 20359, 29447, 269, 589, 6199, 630, 1960, 276, 264, 11130, 602, 2362, 476, 9262, 29447, 270, 476, 10436, 29447, 12753, 538, 13719, 7777, 3037, 20030, 2992, 1732, 11091, 540, 918, 11656, 6886, 609, 1164, 681, 321, 3379, 547, 519, 6140, 649, 9312, 543, 682, 3737, 6970, 6886, 3267, 12914, 476, 1839, 267, 476, 1708, 273, 5788, 19077, 1756, 543, 27948, 616, 1031, 547, 1118, 519, 6007, 269, 18924, 4637, 616, 849, 606, 4853, 7777, 269, 5221, 540, 741, 21052, 267, 19987, 616, 1031, 585, 1082, 1919, 269, 901, 2882, 24200, 1031, 585, 5969, 543, 1135, 5109, 269, 1358, 616, 849, 1031, 547, 1118, 6793, 22795, 543, 538, 8156, 2860, 256, 589, 16590, 3787, 1031, 538, 519, 17656, 540, 3282, 19401, 269, 1284, 19665, 6886, 1759, 593, 741, 21052, 267, 3337, 267, 561, 13831, 610, 2681, 269, 5753, 786, 1265, 856, 1018, 519, 15011, 338, 17361, 568, 543, 1018, 2010, 540, 6886, 621, 5161, 540, 269, 14936, 267, 789, 786, 1413, 693, 1862, 5226, 691, 345, 568, 835, 540, 519, 1034, 10731, 6886, 593, 519, 4541, 269, 898, 2501, 538, 513, 2603, 540, 1114, 15437, 971, 607, 11909, 630, 13427, 21247, 1070, 5835, 630, 31842, 9068, 1070, 13711, 630, 600, 996, 22438, 1070, 3043, 630, 332, 559, 5652, 21247, 1070, 2699, 630, 600, 996, 22438, 609, 22104, 924, 1070, 543, 6960, 543, 15454, 630, 8243, 758, 344, 21247, 1040, 1879, 649, 1616, 21247, 2221, 649, 1419, 1118, 621, 538, 513, 19460, 3079, 540, 20857, 621, 856, 540, 519, 2666, 269, 5228, 588, 30519, 924, 7626, 543, 824, 6886, 269, 898, 568, 1031, 607, 513, 2182, 2287, 18585, 585, 1291, 267, 2523, 4859, 9075, 543, 10814, 1352, 23411, 269, 898, 781, 849, 1031, 538, 12946, 4496, 267, 1826, 4496, 267, 1151, 1457, 267, 2458, 2355, 1043, 13740, 543, 23240, 267, 6656, 543, 12992 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 971, 1514, 3790, 607, 2825, 4027, 543, 3106, 6042, 269, 1452, 3800, 616, 10924, 547, 960, 607, 15314, 547, 3854, 5092, 267, 1007, 681, 1299, 667, 630, 516, 14142, 543, 1646, 1070, 543, 2489, 2804, 2208, 267, 609, 513, 1463, 8102, 894, 1198, 593, 2504, 267, 543, 513, 8945, 548, 16365, 1198, 593, 7694, 543, 3747, 269, 1215, 798, 782, 891, 10054, 1796, 909, 538, 4641, 888, 4131, 721, 3398, 519, 1101, 13429, 3823, 519, 2956, 540, 11931, 2804, 2208, 267, 3177, 649, 1451, 547, 1331, 12007, 2208, 630, 574, 2889, 22777, 540, 519, 1604, 267, 3106, 693, 960, 543, 538, 1857, 4025, 264, 538, 938, 2949, 1523, 540, 2208, 19601, 2690, 1175, 1269, 866, 269, 4817, 513, 1032, 267, 1205, 1569, 547, 1007, 2152, 543, 5756, 262, 4502, 540, 21517, 593, 938, 3135, 563, 19530, 1341, 6732, 454, 2690, 1269, 3066, 269, 4817, 513, 1032, 267, 1205, 1007, 2152, 9447, 547, 707, 7450, 543, 1569, 547, 938, 2407, 2228, 21517, 269, 0, 15031, 1466, 256, 1215, 547, 8178, 543, 16237, 6533, 8682, 4211, 2632, 1503, 454, 268, 11485, 7232, 337, 6471, 267, 4639, 24415, 17625, 267, 10790, 267, 2136, 2276, 454, 14399, 1419, 1397, 4191, 540, 7988, 28832, 267, 791, 6160, 2032, 267, 543, 1981, 23824, 1765, 2041, 6409, 12542, 602, 15936, 609, 1565, 543, 2208, 269, 28871, 26582, 538, 971, 7679, 1359, 5615, 616, 2042, 540, 1582, 20820, 269, 11153, 5756, 540, 1382, 538, 519, 2247, 543, 2634, 9443, 1217, 1620, 540, 1582, 20820, 267, 1312, 607, 513, 16023, 543, 1533, 269, 901, 1382, 814, 1713, 6286, 585, 7855, 267, 3246, 2994, 585, 12570, 543, 14304, 1582, 20820, 269, 901, 1957, 8039, 519, 4143, 7811, 2035, 543, 4052, 3156, 269, 3487, 835, 11828, 1699, 3206, 827, 519, 2470, 540, 1582, 20820, 267, 2519, 593, 519, 19610, 21441, 1063, 630, 328, 264, 16023, 543, 1533, 267, 607, 1134, 607, 630, 4512, 264, 2019, 819, 531, 543, 791, 14601, 3157, 269, 3487, 1079, 8039, 513, 1920, 540, 2409, 2966, 547, 2708, 1114, 3344, 540, 1582, 20820, 269, 3487, 1614, 6212, 593, 2081, 547, 4222, 1582, 20820, 267, 1519, 2241, 2994, 602, 948, 1711, 6208, 543, 2569, 4655, 609, 12721, 15673, 725, 563, 9961, 1646, 267, 1453, 616, 4122, 13934, 676, 3929, 7988, 28832, 267, 791, 6160, 2032, 267, 543, 1981, 23824, 1765, 2041, 24173, 10832, 540, 4057, 1582, 20820, 269, 1452, 5615, 15641, 324, 2123, 543, 9263, 1565, 267, 2436, 519, 1543, 568, 1514, 15041, 10899, 610, 4081, 269, 634, 1434, 3377, 568, 602, 519, 2247, 543, 2634, 9443, 723, 2919, 2241, 267, 2500, 2994, 547, 2708, 267, 543, 7794, 1582, 20820, 602, 616, 4998, 585, 4543, 782, 1453, 267, 2436, 538, 2489, 610, 2027, 2069, 269, 901, 1957, 8039, 891, 2994, 269, 3487, 476, 272, 5587, 5809, 930, 540, 519, 4295, 12497, 2152, 4478, 519, 4390, 585, 1582, 20820, 267, 2519, 2523, 593, 21441, 602, 1118, 513, 3017, 547, 1620, 543, 7393, 513, 1126, 781, 2208, 269, 20668, 476, 273, 543, 476, 274, 1865, 267, 6606, 267, 2409, 585, 12570, 543, 14304, 1582, 20820, 563, 8512, 476, 272, 269, 10417, 783, 12983, 454, 763, 5389, 540, 5042, 2257, 543, 2069, 4043, 547, 8237, 950, 621, 2501, 547, 16166, 267, 609, 519, 5449, 811, 9846, 1210, 1582, 20820, 1247, 519, 8545, 3096, 1582, 15696, 4327, 1565, 630, 301, 24513, 267, 476, 1001, 277, 1040, 9282, 972, 568, 16937, 1851, 891, 2474, 267, 519, 19206, 789, 4584, 856, 616, 10058, 267, 1519, 519, 16097, 585, 12570, 543, 7393, 873, 630, 291, 3089, 10290, 1696, 620, 1421, 476, 1001, 275, 282, 631, 1176, 822, 338, 10798, 320, 1696, 620, 1421, 476, 1001, 280, 1040, 634, 1445, 538, 713, 1957, 568, 14311, 593, 1582, 20820, 1317, 621, 568, 1447, 5432, 547, 1082, 7855, 267, 855, 5693, 10597, 543, 1264, 906, 519, 960, 593, 1582, 15696, 4327, 1565, 630, 310, 2044, 543, 715, 2884, 26709, 267, 476, 1001, 271, 282, 31704, 710, 330, 543, 632, 293, 584, 267, 476, 1001, 277, 1916, 20236, 20820, 14122, 519, 2702, 547, 10038, 4664, 267, 3007, 267, 543, 2623, 950, 4655, 19674, 1063, 1079, 12721, 3681, 267, 835, 2139, 5612, 267, 543, 835, 16607, 883, 519, 2104, 630, 289, 320, 2541, 3563, 1696, 620, 1421, 476, 1220, 278, 282, 667, 3089, 10290, 1696, 620, 1421, 476, 1001, 280, 1040, 8682, 15696, 4327, 1565, 267, 538, 4334, 267, 6212, 593, 519, 2994, 1031, 547, 6895, 3356, 267, 3489, 5955, 267, 543, 6095, 1676, 1489, 538, 519, 3028, 540, 1140, 8724, 1514, 15041, 10899, 543, 4081, 3853, 630, 290, 1961, 1696, 620, 1421, 476, 1001, 279, 1040, 634, 1883, 3017, 267, 1287, 267, 568, 602, 1582, 20820, 28559, 711, 1582, 15696, 4327, 1565, 1765, 531, 1811, 3322, 513, 4655, 4810, 543, 7307, 676, 519, 1367, 1063, 2110, 268, 543, 1279, 3856, 3853, 563, 1103, 6236, 519, 4390, 585, 1582, 20820, 267, 621, 568, 1271, 547, 1118, 1079, 2417, 21441, 269, 634, 1101, 568, 1063, 16023, 543, 1533, 1582, 20820, 269, 3004, 527, 1582, 20820, 630, 1372, 681, 1342, 518, 1696, 620, 1421, 476, 1001, 272, 264, 4016, 547, 3344, 540, 938, 5817, 7350, 602, 616, 3335, 5812, 543, 1279, 9434, 936, 513, 1272, 942, 269, 5525, 540, 16023, 1582, 20820, 7866, 519, 16762, 1379, 540, 2038, 10526, 585, 2663, 1272, 4093, 1519, 1072, 267, 5763, 267, 543, 2069, 630, 19111, 344, 1696, 620, 1421, 476, 1001, 272, 282, 631, 4752, 8636, 1696, 620, 1421, 476, 1001, 272, 1040, 769, 1840, 267, 2090, 7866, 602, 2043, 609, 1164, 16023, 1582, 20820, 1995, 4655, 607, 1447, 26688, 538, 851, 1317, 789, 1020, 6793, 6208, 543, 811, 24672, 1524, 2958, 3634, 741, 4664, 982, 1346, 609, 1970, 1582, 20820, 630, 294, 4068, 9346, 691, 543, 632, 681, 1342, 518, 267, 476, 1001, 276, 5148, 971, 2640, 8451, 538, 513, 3099, 540, 8658, 1519, 519, 4616, 540, 2635, 16152, 267, 1353, 6208, 267, 6780, 12032, 267, 543, 18094, 1282, 519, 1101, 1032, 540, 2852, 630, 294, 718, 320, 543, 667, 3089, 10290, 267, 476, 1001, 276, 1040, 9282, 16023, 1582, 20820, 568, 12082, 538, 938, 7350, 267, 621, 568, 711, 1799, 17014, 630, 293, 9567, 7719, 543, 29965, 3467, 267, 476, 1001, 279, 282, 17455, 5674, 1696, 620, 1421, 476, 1001, 279, 28931, 320, 1448, 540, 1390, 10083, 547, 7855, 6236, 3255, 547, 7794, 713, 4390, 630, 8512, 476, 274, 1916, 13750, 1582, 20820, 4016, 547, 10151, 543, 1419, 4657, 3344, 540, 1582, 20820, 602, 666, 8451, 1369, 513, 1554, 610, 10156, 5712, 540, 942, 1813, 547, 8404, 267, 1995, 267, 543, 2825, 6381, 269, 3194, 593, 1533, 1582, 20820, 5267, 602, 621, 568, 513, 3908, 4199, 267, 835, 602, 666, 581, 30701, 998, 946, 267, 609, 2942, 4539, 585, 1582, 543, 2486, 630, 289, 320, 2541, 3563, 1696, 620, 1421, 476, 1001, 279, 1040, 1280, 1383, 267, 2043, 609, 1970, 1533, 1582, 20820, 616, 811, 2693, 547, 4497, 538, 30907, 267, 678, 8775, 543, 20025, 2623, 630, 5719, 289, 517, 334, 1696, 620, 1421, 476, 1001, 271, 282, 12821, 650, 3999, 267, 476, 1001, 273, 1070, 543, 5480, 16488, 616, 811, 2693, 547, 2490, 1524, 513, 26956, 781, 7662, 585, 1612, 1961, 607, 741, 1533, 1582, 20820, 11527, 8460, 1369, 513, 1554, 630, 291, 11961, 9528, 1696, 620, 1421, 476, 1001, 272, 5148, 4174, 330, 5944, 267, 519, 7771, 538, 16488, 262, 18515, 547, 9886, 1612, 1961, 556, 2692, 1824, 1739, 5712, 540, 1426, 4616, 267, 11021, 602, 1978, 5686, 540, 9397, 25579, 880, 519, 2200, 5885, 1533, 1582, 20820, 563, 763, 2034, 11984, 568, 1063, 2019, 819, 531, 607, 10353, 547, 791, 14601, 3157, 630, 291, 3089, 10290, 543, 23415, 6199, 267, 476, 1001, 276, 1040, 5292, 819, 531, 3157, 1489, 1582, 20820, 543, 1331, 3007, 267, 5464, 267, 4058, 267, 829, 13367, 532, 267, 543, 22629, 269, 4107, 540, 519, 3157, 5817, 519, 2019, 819, 531, 2427, 540, 1582, 20820, 2887, 896, 519, 1625, 1613, 540, 10324, 8647, 630, 291, 3554, 1180, 267, 476, 1001, 274, 1040, 6764, 14601, 3157, 267, 538, 4334, 267, 3541, 841, 1582, 20820, 543, 1331, 15398, 8417, 547, 12587, 267, 1981, 23824, 267, 513, 1459, 15129, 11721, 1956, 1821, 2728, 539, 5133, 267, 543, 1808, 1039, 11881, 610, 26351, 563, 763, 2019, 819, 531, 27780, 14601, 11984, 568, 3226, 1713, 585, 1153, 27070, 1453, 607, 519, 5817, 3157, 1689, 1282, 1646, 267, 693, 1114, 3928, 267, 543, 593, 513, 942, 2275, 6847, 602, 5526, 8471, 585, 3335, 3384, 5095, 269, 1280, 1383, 267, 538, 1713, 3444, 14426, 1382, 676, 23415, 6199, 1696, 620, 269, 630, 1001, 278, 1070, 2164, 1397, 602, 14815, 5498, 22701, 19589, 693, 1472, 476, 866, 1296, 6466, 1582, 20820, 19589, 543, 3788, 7123, 1063, 476, 2537, 543, 476, 2918, 1296, 630, 8201, 476, 272, 1040, 14608, 14688, 267, 1287, 267, 791, 14601, 3157, 971, 607, 14815, 5498, 22701, 3914, 513, 15398, 1533, 1354, 1582, 20820, 814, 4628, 9921, 323, 630, 293, 9567, 7719, 543, 29965, 3467, 267, 476, 1001, 277, 1040, 1452, 1114, 1319, 584, 1049, 24551, 948, 2491, 1946, 18273, 568, 2404, 609, 519, 5920, 540, 22672, 1652, 543, 13948, 5739, 3664, 543, 3527, 1765, 785, 545, 894, 540, 513, 17528, 1582, 20820, 1062, 1765, 9188, 3145, 513, 11931, 2333, 538, 2019, 819, 531, 4390, 269, 634, 1491, 25571, 5048, 568, 602, 7855, 1590, 2708, 1312, 519, 2019, 819, 531, 543, 791, 14601, 3157, 5817, 2623, 607, 2901, 610, 1312, 949, 581, 3743, 585, 3541, 9430, 519, 4316, 547, 1451, 543, 1118, 1434, 3664, 563, 8201, 476, 272, 269, 15448, 538, 14815, 5498, 22701, 630, 3847, 267, 1283, 264, 543, 1582, 20820, 630, 3847, 267, 5377, 264, 607, 513, 1599, 540, 2085, 630, 611, 2194, 539, 689, 23415, 6199, 1696, 620, 1421, 476, 1001, 278, 1040, 5637, 14815, 5498, 22701, 543, 1582, 20820, 941, 6508, 689, 513, 12432, 2268, 1519, 12220, 543, 2773, 10526, 269, 634, 5750, 593, 519, 1318, 2706, 574, 5099, 519, 11095, 24551, 540, 14815, 5498, 22701, 543, 1582, 20820, 543, 2982, 630, 2775, 2699, 267, 1769, 4544, 264, 3604, 538, 519, 12557, 540, 741, 9757, 19589, 543, 6676, 9476, 563, 763, 16023, 15581, 543, 2019, 819, 531, 27780, 14601, 21441, 723, 1463, 10083, 547, 3610, 267, 1519, 711, 1152, 875, 789, 948, 1453, 1332, 855, 875, 789, 4383, 741, 1378, 7145, 269, 9603, 547, 1367, 3604, 602, 616, 6829, 2038, 538, 1272, 267, 930, 1453, 1765, 18034, 1346, 609, 3929, 18063, 1765, 15884, 12446, 538, 519, 4928, 609, 1970, 16023, 1582, 20820, 267, 21022, 1533, 1582, 20820, 267, 1164, 8007, 8417, 267, 543, 4617, 10324, 8647, 602, 896, 15533, 2019, 819, 531, 1582, 20820, 269, 1280, 971, 1453, 267, 519, 2591, 616, 3875, 267, 609, 3007, 3541, 9229, 543, 519, 2702, 547, 6414, 19847, 269, 1280, 1312, 2875, 543, 4116, 267, 621, 568, 1271, 547, 5431, 543, 4188, 519, 2095, 540, 1142, 1554, 607, 946, 540, 1582, 20820, 786, 1267, 538, 22485, 1533, 1582, 20820, 269, 8899, 1229, 1533, 1582, 20820, 568, 2404, 609, 22485, 3007, 543, 2702, 547, 1544, 267, 607, 1134, 607, 811, 19535, 267, 791, 14601, 14699, 630, 11675, 16591, 543, 631, 3120, 1597, 267, 476, 1001, 276, 1916, 763, 12497, 21441, 5941, 1934, 616, 1898, 547, 519, 5542, 543, 6388, 540, 2994, 547, 2708, 543, 7794, 1582, 20820, 269, 594, 2490, 1985, 547, 891, 2994, 267, 4358, 1101, 609, 10526, 563, 8512, 476, 273, 269, 30487, 8682, 4211, 2632, 1503, 454, 10387, 10899, 856, 10767, 7370, 267, 14699, 267, 17140, 267, 543, 791, 520, 1466, 616, 1419, 2404, 609, 2038, 6689, 267, 543, 15398, 538, 2665, 540, 1053, 609, 3929, 18063, 269, 901, 24194, 540, 5615, 1419, 9356, 4057, 1582, 20820, 630, 298, 879, 742, 2006, 543, 8092, 5300, 267, 476, 1001, 274, 1040, 1809, 891, 5615, 666, 581, 3361, 676, 824, 5042, 543, 10444, 2042, 269, 1280, 891, 4128, 267, 543, 1866, 267, 621, 568, 1271, 547, 2708, 1582, 20820, 267, 8939, 2645, 602, 786, 1683, 26129, 585, 519, 1114, 7516, 2404, 609, 713, 4390, 563, 2467, 616, 1082, 2010, 540, 1582, 20820, 4879, 267, 2966, 547, 2232, 1114, 3344, 540, 713, 4390, 267, 1419, 609, 1114, 16097, 630, 1721, 8039, 267, 1294, 667, 3089, 10290, 543, 918, 1716, 267, 476, 1001, 272, 282, 667, 3089, 10290, 543, 14717, 4526, 267, 476, 1001, 276, 1040, 1452, 3604, 1058, 581, 2808, 538, 1769, 540, 1312, 519, 3077, 2551, 543, 519, 10700, 8404, 5817, 4879, 269, 769, 1880, 267, 543, 607 ]

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

[ 269, 3958, 267, 10649, 11414, 11009, 543, 2620, 7244, 2553, 799, 666, 948, 4383, 2589, 540, 4965, 543, 4160, 269, 1717, 267, 621, 568, 1271, 547, 4063, 602, 10649, 1058, 711, 581, 1031, 607, 513, 6852, 2126, 585, 4160, 543, 4965, 267, 543, 2043, 609, 891, 4713, 1058, 849, 3343, 3318, 948, 689, 513, 3782, 8502, 14325, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 563, 268, 16992, 543, 5188, 281, 1711, 12300, 3197, 945, 4497, 538, 6209, 7391, 267, 4543, 547, 2491, 543, 2263, 519, 2257, 2035, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 269, 0, 8080, 547, 938, 3408, 540, 6052, 7232, 2310, 10331, 10662, 256, 5620, 596, 2479, 2219, 827, 1018, 2306, 930, 19269, 543, 3457, 538, 938, 5321, 946, 1447, 1648, 1247, 1869, 3257, 741, 2816, 1134, 286, 2334, 781, 1141, 1648, 4398, 2501, 883, 1404, 256, 4653, 267, 649, 3513, 4685, 883, 713, 4241, 1158, 543, 1451, 1946, 621, 781, 1898, 585, 721, 543, 938, 4541, 269, 1924, 10544, 707, 3206, 11503, 543, 1577, 781, 7832, 593, 713, 3460, 1927, 2439, 5331, 10024, 513, 9589, 267, 13777, 22618, 1753, 602, 18274, 3294, 267, 29397, 6980, 609, 1175, 513, 5905, 267, 543, 8952, 3025, 18241, 1210, 3592, 1100, 1648, 1107, 4992, 899, 513, 14810, 267, 3085, 1405, 621, 286, 1809, 1705, 596, 917, 602, 891, 6909, 18563, 2907, 2291, 538, 2221, 781, 1158, 286, 1452, 5863, 13144, 948, 2149, 938, 1604, 676, 4227, 5739, 5434, 543, 9494, 2724, 593, 1346, 646, 11998, 10626, 12014, 256, 2913, 781, 1265, 856, 811, 827, 873, 2439, 2691, 1004, 2911, 827, 1648, 18026, 14233, 267, 789, 1611, 1022, 3926, 538, 938, 5321, 602, 1281, 922, 2816, 630, 3697, 11067, 8286, 610, 9660, 264, 855, 3096, 1454, 1447, 1648, 3379, 547, 2834, 3283, 269, 901, 1797, 7864, 8511, 9362, 5950, 883, 519, 5790, 267, 799, 2337, 3500, 1524, 2916, 1689, 269, 898, 849, 17990, 3885, 10475, 9489, 1169, 3923, 256, 1215, 15813, 568, 602, 2496, 4131, 781, 1491, 513, 1413, 1472, 707, 1378, 1753, 543, 1294, 952, 972, 616, 1022, 1648, 18026, 14233, 15720, 538, 10750, 8289, 269, 1411, 1522, 723, 2907, 4862, 540, 1919, 1572, 13673, 2207, 294, 312, 5254, 2752, 14468, 2472, 269, 1358, 4163, 513, 2027, 6003, 2016, 676, 519, 2475, 7025, 10466, 10837, 630, 292, 5183, 1070, 6029, 789, 2743, 7453, 4808, 585, 1648, 9806, 269, 5901, 606, 3750, 856, 585, 713, 4544, 20446, 1985, 942, 596, 2811, 10918, 609, 707, 1920, 269, 2368, 1455, 13673, 2207, 294, 312, 5254, 2752, 3688, 1336, 538, 10820, 1331, 14023, 2209, 267, 8670, 13195, 1667, 267, 27445, 6191, 267, 5904, 267, 751, 4582, 2888, 267, 543, 1256, 1769, 15620, 2439, 3086, 267, 1577, 803, 2995, 596, 827, 1079, 9735, 2010, 540, 1648, 18026, 14233, 602, 960, 13300, 585, 707, 1753, 281, 10896, 8279, 543, 5100, 27687, 1846, 269, 8528, 272, 269, 2878, 29612, 28691, 4995, 8617, 2025, 1769, 12712, 2125, 666, 8532, 6266, 540, 1648, 543, 6633, 856, 3533, 267, 1818, 7928, 15143, 547, 5372, 873, 2556, 269, 1717, 267, 8752, 661, 2466, 1154, 667, 1675, 525, 267, 610, 27178, 267, 2063, 909, 547, 476, 1839, 2053, 3476, 543, 8415, 476, 4037, 260, 1447, 1648, 982, 2757, 1651, 663, 525, 30105, 256, 5994, 2348, 835, 1305, 540, 1279, 18835, 8279, 2429, 707, 3003, 6689, 3079, 540, 7683, 4657, 26151, 13050, 15620, 910, 7168, 16517, 267, 26001, 286, 9578, 267, 2094, 789, 5352, 1447, 3002, 267, 789, 1832, 707, 4055, 8799, 543, 635, 325, 344, 1932, 269, 1656, 7058, 1018, 286, 3509, 1187, 4778, 543, 5546, 616, 2139, 19951, 267, 3850, 596, 547, 21160, 707, 2230, 2705, 596, 6999, 2439, 273, 269, 2878, 27319, 14562, 2865, 1846, 4995, 3143, 267, 789, 4465, 1405, 1376, 6158, 1394, 547, 596, 20471, 4166, 267, 855, 891, 562, 604, 1399, 2370, 3457, 2386, 798, 1118, 5883, 707, 1753, 781, 2837, 2653, 890, 6470, 11993, 17065, 5414, 256, 12829, 27687, 1846, 8850, 4188, 1759, 593, 950, 2576, 568, 1753, 610, 2476, 267, 4180, 5021, 4313, 543, 8766, 24906, 1648, 269, 3807, 1589, 827, 1373, 2111, 547, 2490, 1055, 519, 8028, 1354, 6028, 585, 16314, 2786, 689, 707, 6049, 610, 8384, 7641, 1524, 560, 4202, 1247, 5329, 23103, 5210, 3501, 585, 12008, 909, 560, 4202, 269, 2353, 2009, 7064, 547, 891, 13085, 10124, 2439, 3528, 6220, 1648, 18026, 14233, 883, 938, 3232, 2729, 267, 649, 2811, 4543, 8190, 938, 4190, 3047, 585, 2104, 5481, 6730, 11981, 2413, 7036, 7891, 2059, 519, 1259, 269, 1548, 1223, 581, 1732, 982, 602, 286, 8921, 942, 596, 3643, 519, 4558, 609, 707, 1920, 267, 3314, 547, 3406, 585, 1346, 3972, 344, 13673, 2207, 294, 312, 5254, 2752, 27291, 267, 543, 6148, 1256, 2307, 3158, 610, 19033, 952, 596, 666, 4584, 856, 1945, 2027, 585, 707, 1360, 1378, 4055, 256, 8625, 267, 649, 666, 1711, 8902, 5321, 267, 2569, 5533, 267, 543, 1628, 513, 17321, 14182, 269, 8414, 3695, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 303, 6974, 6377, 19889, 5321, 1205, 2966, 547, 1118, 707, 10357, 5326, 513, 4641, 269, 19889, 5321, 616, 693, 519, 21282, 540, 519, 2823, 31987, 540, 1082, 16413, 543, 1753, 9858, 269, 1290, 3228, 267, 2511, 543, 30483, 991, 333, 1406, 1205, 14894, 539, 538, 519, 13287, 540, 4264, 2713, 282, 689, 14711, 6604, 547, 4642, 3653, 563, 763, 1883, 547, 606, 10357, 7888, 22058, 566, 568, 4358, 538, 519, 1318, 1747, 912, 11900, 1637, 543, 14910, 2097, 1101, 267, 543, 1287, 1648, 18026, 14233, 786, 2759, 1394, 707, 1379, 946, 543, 4688, 596, 6666, 269, 3973, 596, 1058, 1847, 593, 547, 782, 519, 1007, 9023, 2029, 269, 2060, 22058, 908, 267, 649, 4043, 547, 1445, 811, 593, 519, 5920, 2864, 982, 519, 13471, 267, 14910, 543, 875, 519, 2777, 3096, 5201, 267, 3154, 543, 1216, 563, 763, 12809, 1374, 6212, 593, 519, 10066, 543, 11768, 540, 707, 1753, 267, 865, 12119, 4365, 3270, 616, 1031, 11179, 547, 3002, 543, 3579, 519, 3959, 269, 1403, 596, 666, 1544, 547, 3068, 5087, 547, 12366, 1047, 5162, 3141, 585, 8022, 267, 1287, 707, 3959, 786, 2154, 2837, 1852, 1282, 519, 1032, 269, 634, 27864, 543, 5887, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 21328, 7232, 2310, 10331, 10662, 257, 607, 851, 540, 834, 9816, 27516, 1299, 670, 26041, 1315, 6052, 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, 1012, 17423, 19029, 281, 589, 5295, 995, 15484, 585, 21023, 532, 519, 8892, 692, 5331, 596, 2811, 3843, 547, 3589, 2436, 621, 786, 4764, 14182, 269, 1411, 1522, 1413, 693, 519, 4365, 9472, 267, 855, 1018, 952, 596, 4769, 1405, 723, 602, 286, 1411, 1223, 1118, 513, 3375, 3529, 256, 589, 3375, 3529, 568, 513, 3126, 540, 2055, 602, 948, 596, 1118, 513, 3375, 267, 899, 513, 2095, 24577, 780, 1103, 713, 1770, 267, 649, 3513, 1451, 875, 547, 1628, 513, 3375, 3529, 585, 513, 10471, 269, 1284, 3513, 946, 513, 2027, 2186, 540, 3375, 3529, 1572, 513, 2878, 2958, 1833, 3529, 1262, 267, 799, 568, 1031, 585, 17782, 10230, 2418, 269, 1284, 3513, 849, 946, 513, 2442, 3684, 1565, 5399, 1572, 2387, 31596, 12452, 799, 2306, 621, 4443, 547, 960, 609, 2338, 538, 5124, 780, 5575, 267, 1577, 781, 3888, 2387, 31596, 319, 676, 4881, 713, 4971, 538, 707, 12363, 1384, 3499, 321, 1662, 454, 26921, 3888, 11885, 454, 7884, 3086, 267, 1577, 781, 1104, 2387, 31596, 319, 543, 1711, 513, 2241, 10471, 1384, 3499, 7090, 454, 5814, 11885, 607, 5286, 692, 258, 8073, 513, 2241, 10471, 454, 30221, 13448, 815, 5286, 15126, 31912, 272, 267, 476, 273, 3910, 1496, 274, 267, 476, 275, 3910, 1496, 276, 267, 476, 277, 3910, 1496, 278, 267, 476, 279, 316, 7481, 30221, 14729, 815, 5286, 15126, 8443, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 7481, 7884, 1103, 713, 10471, 267, 2387, 30221, 13448, 319, 568, 513, 476, 273, 291, 5044, 1141, 1142, 4737, 568, 513, 1239, 1448, 543, 1142, 6241, 568, 513, 4183, 269, 2387, 30221, 14729, 319, 568, 513, 476, 272, 291, 5044, 1141, 1142, 3693, 568, 519, 3077, 1871, 585, 519, 7222, 1239, 1448, 538, 2387, 30221, 13448, 27471, 2162, 8490, 519, 10326, 692, 2414, 1628, 513, 9695, 3529, 267, 649, 3513, 946, 513, 1505, 1572, 2878, 516, 15479, 633, 15652, 532, 1262, 269, 901, 1505, 3322, 24590, 519, 1239, 883, 4130, 543, 4130, 29162, 267, 1759, 593, 519, 2418, 540, 519, 2934, 269, 3962, 8237, 5932, 513, 1007, 6843, 538, 519, 3529, 780, 4131, 781, 1376, 676, 10747, 513, 1362, 585, 938, 3529, 1384, 3499, 7090, 454, 5035, 22953, 21698, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 269, 10174, 815, 7183, 692, 825, 1219, 3514, 4311, 267, 5721, 13448, 267, 5721, 14729, 267, 2597, 2187, 1038, 1582, 269, 10174, 815, 30741, 4590, 1038, 1582, 11519, 28265, 4671, 872, 263, 271, 267, 1582, 269, 10174, 267, 5721, 13448, 267, 5721, 14729, 267, 2597, 994, 7884, 1103, 713, 3009, 267, 649, 5581, 513, 1362, 2387, 8802, 1833, 21698, 319, 609, 513, 1505, 2387, 7257, 13237, 269, 634, 2387, 7257, 13237, 1505, 3217, 538, 519, 2866, 1239, 543, 7125, 519, 4357, 1505, 2387, 318, 28265, 4671, 872, 13237, 547, 1628, 519, 3529, 780, 763, 2387, 318, 28265, 4671, 872, 13237, 1505, 568, 513, 25276, 1599, 602, 13976, 519, 3529, 676, 24590, 519, 1239, 693, 1142, 6843, 269, 1284, 4465, 1405, 979, 883, 519, 3877, 540, 713, 1505, 1934, 267, 855, 596, 666, 1451, 811, 827, 621, 538, 513, 811, 4359, 1576, 780, 2162, 10435, 21023, 687, 692, 5629, 649, 4312, 3710, 519, 3529, 267, 649, 666, 946, 621, 547, 1118, 11236, 269, 1677, 798, 713, 267, 649, 3513, 946, 513, 1505, 1572, 2878, 516, 15479, 633, 21986, 531, 1262, 269, 901, 1505, 3322, 4358, 693, 519, 3597, 540, 519, 3529, 543, 1739, 519, 8371, 2394, 649, 3914, 513, 6978, 6843, 269, 2311, 1142, 6843, 267, 649, 3513, 1118, 513, 3375, 1759, 593, 519, 1871, 540, 519, 4183, 693, 602, 6843, 780, 4131, 781, 5581, 513, 1505, 2387, 335, 9438, 13237, 585, 938, 3529, 1384, 3499, 7090, 454, 825, 1219, 3589, 4311, 267, 1449, 13448, 2187, 1038, 2392, 815, 1582, 11519, 2958, 1833, 6025, 652, 13448, 267, 1582, 269, 10174, 994, 1038, 2132, 2392, 454, 7884, 1103, 713, 3009, 267, 649, 5581, 513, 1505, 2387, 335, 9438, 13237, 602, 3217, 538, 519, 1449, 1239, 543, 7125, 519, 4357, 1505, 2387, 318, 2958, 1833, 13237, 269, 634, 2387, 318, 2958, 1833, 13237, 1505, 568, 513, 25276, 1599, 602, 21986, 525, 519, 3529, 543, 2306, 11236, 1759, 593, 519, 2418, 540, 519, 2934, 693, 1142, 6843, 780, 4131, 781, 1491, 513, 6251, 1413, 693, 519, 2387, 318, 2958, 1833, 13237, 1505, 1384, 3499, 7090, 454, 825, 1219, 9041, 2958, 1833, 4311, 267, 1239, 281, 5286, 269, 526, 6783, 267, 6843, 281, 30741, 2187, 1038, 952, 6843, 8807, 324, 1155, 568, 7183, 912, 2018, 2132, 5286, 269, 21459, 12759, 16597, 1070, 6843, 27841, 2020, 1038, 4183, 815, 6843, 8807, 324, 1155, 454, 1038, 26986, 815, 6843, 269, 628, 11611, 454, 1038, 2392, 815, 5286, 25910, 12759, 16597, 11723, 1038, 2451, 16182, 343, 815, 5286, 15126, 8443, 328, 585, 1775, 538, 2039, 12759, 16597, 4297, 952, 630, 11907, 5157, 6012, 10623, 1155, 316, 2999, 26986, 264, 7481, 1038, 1318, 16182, 343, 815, 5286, 15126, 8443, 328, 585, 1775, 538, 2039, 12759, 16597, 4297, 952, 630, 11907, 5157, 6012, 10623, 1155, 316, 13843, 26986, 13580, 2020, 1038, 2451, 13448, 267, 1318, 13448, 815, 1582, 11519, 20889, 16597, 267, 2451, 16182, 343, 267, 1318, 16182, 343 ]

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

[ 6600, 9347, 274, 267, 12296, 284, 1789, 14720, 4650, 12296, 284, 277, 267, 3667, 19702, 762, 284, 2452, 20713, 994, 18782, 318, 2452, 20713, 26942, 21405, 284, 271, 267, 26383, 284, 272, 994, 327, 842, 9078, 8475, 284, 299, 8475, 6600, 9347, 273, 267, 3667, 6889, 338, 9876, 519, 2372, 652, 585, 20726, 257, 266, 340, 9899, 315, 1822, 272, 293, 2568, 280, 2580, 325, 2632, 14352, 736, 4917, 327, 842, 9078, 8475, 4877, 871, 4590, 11034, 318, 31728, 284, 3719, 2023, 6600, 9347, 273, 267, 3667, 6889, 11034, 3014, 2580, 325, 326, 6889, 18872, 2580, 321, 326, 6889, 258, 272, 2465, 32699, 2580, 325, 2632, 284, 2891, 13681, 9369, 2580, 2568, 2437, 321, 1245, 19823, 12252, 284, 327, 728, 6958, 9347, 272, 16062, 4372, 994, 11034, 318, 31728, 4877, 871, 10797, 19638, 19638, 692, 10174, 342, 4372, 6230, 664, 31467, 3890, 0, 2162, 4067, 14091, 367, 478, 424, 486, 502, 423, 354, 376, 834, 425, 502, 482, 424, 356, 478, 257, 423, 350, 506, 21844, 367, 510, 32510, 499, 424, 489, 506, 425, 480, 353, 424, 356, 478, 10563, 499, 488, 422, 367, 510, 1843, 423, 354, 376, 14091, 356, 490, 423, 497, 353, 423, 499, 490, 8528, 5035, 12287, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 2012, 267, 2085, 2567, 16875, 1948, 30976, 714, 2801, 454, 1038, 1582, 20508, 476, 815, 2012, 454, 1038, 1582, 269, 720, 815, 2085, 692, 825, 1219, 2161, 318, 31435, 4311, 267, 547, 12173, 2567, 672, 1948, 263, 423, 486, 482, 422, 369, 361, 423, 354, 376, 264, 27338, 423, 507, 376, 32629, 498, 10563, 481, 486, 423, 350, 506, 424, 504, 368, 10563, 507, 372, 28990, 494, 10563, 370, 498, 32174, 478, 454, 1038, 1820, 2891, 424, 499, 486, 423, 483, 499, 256, 834, 1341, 547, 12173, 1341, 834, 14091, 480, 502, 32629, 498, 834, 1341, 1582, 20508, 994, 8931, 825, 1219, 6338, 4311, 2187, 1038, 1820, 2891, 423, 480, 368, 10563, 507, 368, 423, 355, 482, 14602, 478, 834, 1341, 1582, 20508, 1341, 834, 21844, 371, 372, 423, 355, 361, 422, 367, 510, 14091, 480, 502, 32629, 498, 834, 1341, 1193, 4311, 269, 720, 264, 1341, 834, 10563, 480, 368, 27338, 424, 499, 376, 5602, 14030, 3546, 1948, 720, 32629, 498, 10563, 486, 360, 28990, 494, 425, 481, 478, 28990, 483, 14602, 502, 14091, 367, 478, 424, 486, 502, 423, 507, 376, 267, 10563, 486, 360, 28990, 494, 285, 423, 361, 372, 28990, 494, 29306, 368, 29030, 481, 478, 28990, 483, 424, 506, 376, 423, 350, 506, 10563, 374, 494, 424, 488, 353, 425, 490, 483, 476, 17432, 482, 424, 504, 498, 454, 529, 8475, 815, 12287, 2891, 425, 502, 482, 424, 356, 478, 2580, 476, 2764, 994, 529, 8475, 269, 842, 28558, 10797, 692, 2162, 10563, 481, 479, 424, 484, 491, 263, 514, 615, 13330, 2567, 21844, 367, 369, 425, 484, 369, 1362, 32174, 478, 10563, 508, 486, 422, 367, 510, 267, 10563, 499, 482, 423, 508, 502, 29306, 494, 10563, 482, 372, 423, 370, 478, 1362, 14091, 356, 490, 423, 497, 353, 14091, 499, 490, 692, 5035, 17318, 27456, 3205, 2567, 672, 1948, 21691, 823, 27338, 423, 508, 478, 1362, 32174, 478, 12287, 27338, 423, 508, 478, 1362, 423, 354, 376, 10563, 481, 479, 424, 484, 491, 454, 825, 1219, 10654, 4311, 267, 547, 318, 541, 6135, 2187, 1038, 1820, 2891, 423, 482, 490, 10563, 366, 368, 425, 493, 361, 423, 494, 494, 30319, 267, 834, 1341, 547, 318, 541, 6135, 2020, 5035, 5358, 1067, 27456, 3205, 2187, 825, 1219, 1982, 4311, 267, 547, 318, 32491, 2187, 1038, 1820, 2891, 30319, 14602, 490, 29306, 498, 14091, 511, 502, 14091, 356, 490, 423, 497, 353, 424, 356, 478, 286, 10563, 499, 482, 10563, 507, 368, 422, 365, 372, 14091, 356, 490, 423, 497, 353, 424, 500, 368, 424, 499, 376, 422, 366, 510, 30319, 281, 834, 1341, 547, 318, 32491, 2020, 529, 8475, 815, 12287, 2891, 425, 502, 482, 424, 356, 478, 2580, 476, 2764, 994, 1540, 815, 17318, 2891, 423, 493, 503, 422, 371, 506, 2580, 476, 3066, 994, 16660, 742, 815, 5358, 1067, 2891, 424, 364, 377, 425, 502, 482, 2580, 476, 2537, 2020, 1540, 269, 842, 28558, 3890, 8587, 1948, 21691, 823, 27338, 423, 507, 376, 32629, 498, 1362, 424, 499, 486, 29306, 494, 476, 17432, 357, 424, 486, 502, 423, 354, 376, 10654, 476, 17432, 502, 423, 480, 502, 423, 364, 500, 29306, 494, 10563, 499, 486, 423, 482, 352, 29306, 486, 424, 506, 376, 423, 480, 502, 6338, 476, 17432, 357, 424, 486, 502, 423, 354, 376, 10563, 497, 372, 10563, 486, 502, 10563, 508, 486, 422, 366, 490, 423, 494, 357, 454, 1540, 30784, 6135, 2891, 423, 493, 482, 423, 495, 495, 5602, 16660, 742, 269, 842, 28558, 4590, 16660, 742, 269, 32491, 2891, 27338, 423, 358, 498, 14602, 376, 29030, 479, 368, 423, 507, 376, 27338, 424, 500, 372, 425, 488, 372, 8442, 0, 2162, 16515, 921, 692, 343, 14352, 272, 267, 273, 267, 274, 994, 344, 284, 3488, 320, 12887, 321, 12887, 322, 5073, 345, 14352, 272, 2437, 31435, 14824, 11004, 15419, 2745, 3287, 20742, 994, 2745, 3488, 320, 262, 538, 586, 264, 16875, 1948, 586, 29306, 494, 1412, 320, 262, 32174, 478, 10563, 508, 486, 32629, 498, 424, 356, 478, 454, 2745, 18750, 28827, 263, 272, 4297, 1038, 1948, 1990, 29306, 494, 476, 272, 27338, 14091, 359, 485, 423, 366, 486, 424, 356, 372, 14602, 372, 424, 356, 478, 692, 258, 1592, 424, 503, 478, 24042, 14602, 502, 10563, 364, 357, 27338, 32510, 494, 912, 258, 24042, 14602, 478, 7084, 263, 32174, 496, 14091, 364, 498, 422, 379, 498, 424, 373, 502, 422, 372, 364, 262, 1535, 263, 273, 6661, 1015, 264, 27338, 10563, 499, 486, 423, 494, 357, 282, 1799, 17014, 263, 423, 370, 486, 423, 367, 478, 264, 2999, 15010, 4573, 14410, 263, 32174, 478, 423, 367, 478, 2020, 0, 258, 12877, 289, 1678, 7420, 454, 258, 21602, 585, 13013, 454, 5814, 15259, 692, 258, 21602, 585, 1016, 15263, 270, 3410, 1400, 3977, 454, 258, 1104, 1016, 15263, 454, 258, 609, 1930, 2891, 16059, 17902, 2580, 834, 342, 266, 8442, 607, 3977, 912, 258, 825, 1016, 15263, 6983, 718, 8443, 257, 7090, 2580, 834, 32220, 10852, 18258, 257, 3910, 31901, 719, 284, 16059, 2020, 258, 21602, 585, 2542, 11483, 309, 3758, 454, 5814, 26417, 692, 322, 12364, 12949, 815, 15259, 29624, 12459, 7765, 3488, 4910, 1545, 3299, 1412, 321, 644, 1326, 12774, 27406, 17210, 258, 20865, 7335, 1210, 11483, 309, 9074, 692, 5976, 1930, 6262, 12364, 12949, 267, 1007, 1467, 284, 5257, 264, 607, 26417, 12803, 912, 8931, 825, 1948, 11483, 309, 5467, 23403, 1642, 574, 3438, 543, 4756, 602, 6585, 9115, 454, 825, 26417, 1348, 518, 815, 26417, 18667, 518, 6262, 12364, 12803, 267, 1642, 574, 3438, 284, 12887, 2020, 825, 1948, 5192, 2698, 1297, 540, 3275, 454, 825, 2698, 318, 3000, 2195, 815, 476, 271, 454, 825, 2698, 5332, 564, 318, 26920, 815, 476, 271, 454, 825, 9674, 318, 24629, 815, 11713, 825, 9674, 318, 26920, 815, 11713, 825, 585, 4737, 538, 26417, 1348, 518, 912, 1038, 9674, 318, 24629, 6910, 21405, 314, 271, 7481, 1038, 9674, 318, 26920, 6910, 21405, 314, 272, 7481, 1038, 2698, 318, 3000, 2195, 6834, 476, 272, 454, 672, 3097, 825, 1948, 5192, 2698, 2121, 2179, 540, 30825, 13624, 1601, 454, 22322, 825, 9674, 318, 24629, 21014, 263, 271, 994, 825, 9674, 318, 26920, 21014, 263, 271, 994, 13872, 825, 703, 26000, 1706, 730, 318, 26920, 815, 1496, 842, 3287, 264, 585, 1535, 538, 9674, 318, 26920, 6540, 825, 2698, 5332, 564, 318, 26920, 815, 2040, 17301, 26000, 1706, 730, 318, 26920, 2020, 825, 1948, 5192, 519, 3328, 1689, 538, 30825, 13624, 1601, 454, 825, 3328, 318, 4219, 815, 476, 271, 454, 825, 9674, 318, 24629, 21014, 263, 271, 994, 825, 10865, 318, 4219, 8217, 815, 1496, 842, 26000, 1706, 730, 318, 26920, 5157, 266, 272, 316, 910, 703, 26000, 1706, 730, 318, 26920, 5157, 316, 585, 1775, 538, 2039, 12759, 17301, 26000, 1706, 730, 318, 26920, 264, 910, 272, 22708, 825, 3328, 318, 4219, 815, 2040, 263, 24629, 569, 318, 4219, 8217, 8358, 6352, 263, 24629, 569, 318, 4219, 8217, 994, 825, 454, 825, 1948, 5192, 519, 6574, 2333, 538, 12434, 630, 11845, 543, 2179, 264, 936, 519, 3003, 1974, 692, 825, 521, 318, 24629, 267, 544, 318, 4219, 8217, 815, 9674, 318, 24629, 267, 10865, 318, 4219, 8217, 8931, 11434, 454, 825, 6574, 18425, 920, 848, 815, 3193, 9852, 318, 4219, 8217, 994, 825, 6574, 18425, 920, 848, 16229, 815, 544, 318, 4219, 8217, 28827, 32384, 9852, 318, 4219, 8217, 11723, 825, 454, 825, 1948, 5192, 519, 6574, 6175, 538, 9271, 630, 11845, 543, 2179, 264, 936, 519, 3003, 1974, 454, 825, 6574, 318, 1372, 920, 848, 815, 1295, 263, 24629, 569, 318, 4219, 8217, 994, 825, 6574, 318, 1372, 920, 848, 16229, 815, 10865, 318, 4219, 8217, 28827, 263, 2381, 263, 24629, 569, 318, 4219, 8217, 11723, 825, 1820, 2891, 26296, 5811, 5602, 825, 1820, 2891, 10900, 955, 268, 5602, 825, 1820, 2891, 13707, 3933, 2195, 281, 834, 1341, 1193, 6025, 4973, 318, 3000, 2195, 268, 272, 4917, 825, 1820, 2891, 13707, 281, 1269, 257, 266, 1193, 6025, 4973, 5332, 564, 318, 26920, 4917, 825, 1820, 2891, 30182, 7827, 281, 1269, 257, 1341, 1193, 263, 1037, 5416, 2071, 318, 4219, 267, 476, 273, 21875, 825, 1820, 2891, 15124, 652, 21561, 538, 4515, 1080, 281, 834, 1341, 521, 318, 24629, 314, 24030, 652, 18425, 920, 848, 16229, 316, 1341, 834, 18121, 257, 1341, 1193, 14116, 805, 652, 18425, 920, 848, 264, 1341, 834, 264, 5602, 825, 1820, 2891, 15124, 652, 28206, 848, 538, 4515, 1080, 281, 834, 1341, 521, 318, 24629, 314, 24030, 652, 318, 1372, 920, 848, 16229, 316, 1341, 834, 18121, 257, 1341, 1193, 14116, 805, 652, 318, 1372, 920, 848, 264, 1341, 834, 264, 8442, 0, 258, 6936, 543, 8771, 454, 258, 891, 616, 513, 1239, 1826, 1572, 513, 1630, 18978, 692, 2745, 263, 16178, 994, 2745, 263, 6943, 263, 16178, 11723, 2745, 263, 12148, 994, 2745, 263, 6943, 263, 12148, 11723, 2745, 263, 14085, 994, 2745, 263, 6943, 263, 14085, 11723, 2162, 8298, 673, 543, 4086, 2153, 12427, 454, 258, 1452, 1226, 622, 543, 6218, 4082, 543, 1267, 538, 6936, 610, 8771, 692, 2745, 2891, 6748, 9266, 6730, 5602, 258, 9266, 6730, 1226, 919, 1079, 2427, 6730, 645, 30862, 991, 547, 581, 3020, 547, 1267, 538, 3020, 454, 258, 6936, 543, 6936, 25341, 3020, 454, 2745, 263, 12148, 543, 6936, 994, 258, 8771, 543, 6936, 25341, 7301, 454, 2745, 263, 16178, 543, 6936, 9239, 2745, 2891, 6748, 9266, 10758, 5602, 258, 9266, 610, 1226, 919, 1079, 2427, 6730, 1152, 835, 2115, 547, 581, 3020, 547, 1267, 538, 3020, 454, 258, 6936, 610, 6936, 25341, 3020, 454, 2745, 263, 12148, 610, 6936, 994, 258, 8771, 543, 6936, 25341, 7301, 454, 2745, 263, 16178, 610, 6936, 2020, 0, 258, 23911, 9238, 692, 258, 1820, 3890, 9577, 4534, 15010, 16493, 547, 23641, 454, 2745, 3488, 15916, 713, 568, 12673, 17210, 258, 1826, 3890, 25341, 7024, 1239, 1826, 454, 2745, 263, 6943, 3488, 31435, 29125, 2745, 263, 279, 994, 2745, 3488, 279, 17210, 258, 24438, 4534, 454, 258, 898, 781, 899, 513, 4216, 267, 596, 666, 1039, 8631, 3330, 454, 258, 621, 814, 513, 2012, 692, 258, 10472, 568, 4259, 519, 4756, 2835, 547, 519, 5569, 834, 23613, 19033, 11188, 667, 611, 4840, 9248, 815, 834, 23613, 19033, 267, 4057, 667, 611, 4840, 273, 265, 2537, 1948, 337, 12584, 855, 568, 711, 4688, 538, 4756, 547, 581, 1031, 2663, 454, 1038, 1948, 663, 568, 711, 9102, 270, 537, 1584, 547, 23641, 454, 15893, 318, 680, 919, 815, 476, 273, 2608, 476, 1015, 454, 258, 1820, 17016, 519, 9115, 883, 519, 23641, 865, 25723, 666, 1294, 621, 454, 2745, 263, 9248, 994, 2745, 28840, 318, 680, 919, 994, 2745, 263, 273, 2608, 476, 2537, 2020 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 17445, 687, 281, 901, 4976, 568, 2966, 547, 948, 596, 3313, 875, 1082, 32122, 540, 519, 476, 1001, 276, 268, 1708, 271, 26678, 13832, 596, 8532, 269, 901, 786, 2285, 596, 513, 4960, 547, 2689, 519, 5227, 5666, 267, 543, 1294, 875, 596, 5635, 563, 268, 634, 476, 1001, 276, 268, 1708, 271, 26678, 13832, 616, 7396, 538, 519, 5750, 2630, 543, 786, 581, 1031, 547, 5659, 707, 1426, 6981, 563, 268, 8525, 476, 273, 3568, 513, 1426, 2845, 267, 1141, 596, 786, 2594, 782, 540, 519, 1426, 543, 16098, 596, 8532, 563, 268, 8525, 476, 274, 3568, 513, 3349, 1141, 596, 786, 5659, 707, 9422, 6981, 3379, 547, 519, 22340, 26678, 13832, 543, 1287, 2626, 513, 3126, 540, 1582, 3887, 1998, 6672, 2055, 563, 1001, 276, 268, 1708, 271, 22340, 26678, 13832, 454, 9616, 281, 634, 1739, 616, 1759, 593, 513, 476, 1220, 271, 17811, 2732, 585, 606, 476, 1240, 266, 10455, 2025, 2937, 2687, 547, 519, 476, 1001, 276, 268, 1708, 271, 26678, 13832, 563, 291, 8543, 281, 22340, 30318, 2179, 281, 476, 274, 11680, 27473, 454, 1892, 1548, 12523, 607, 476, 272, 7484, 281, 476, 277, 26412, 6712, 540, 3170, 6954, 18506, 568, 3160, 547, 476, 274, 270, 275, 7484, 25668, 20884, 10683, 282, 476, 272, 476, 272, 270, 273, 13728, 6712, 540, 524, 1117, 323, 541, 10381, 568, 3160, 547, 476, 272, 7484, 25668, 20884, 10683, 454, 3682, 12888, 281, 22340, 30318, 2179, 281, 476, 276, 269, 276, 13728, 27473, 454, 1892, 1548, 12523, 607, 476, 272, 26412, 281, 476, 272, 1804, 4212, 568, 3160, 547, 476, 272, 26412, 25668, 20884, 3940, 3536, 282, 476, 273, 26486, 540, 24113, 7423, 568, 3160, 547, 476, 273, 26412, 25668, 2526, 757, 3940, 3536, 282, 476, 272, 26412, 6712, 540, 9267, 22756, 568, 3160, 547, 476, 273, 26412, 25668, 2526, 757, 3940, 1426, 282, 476, 272, 270, 273, 7484, 6712, 540, 3109, 10365, 568, 3160, 547, 476, 273, 26412, 25668, 2526, 757, 3940, 3536, 282, 476, 275, 26412, 6712, 540, 20230, 568, 3160, 547, 476, 275, 26412, 25668, 2526, 757, 3940, 3536, 454, 293, 21209, 281, 22340, 30318, 2179, 281, 476, 273, 11680, 27473, 454, 1892, 1548, 12523, 607, 476, 272, 7484, 281, 476, 272, 270, 273, 7484, 6712, 540, 22229, 568, 3160, 547, 476, 272, 270, 273, 7484, 25668, 20884, 4829, 282, 476, 274, 270, 275, 7484, 6712, 540, 476, 1911, 260, 10538, 10433, 568, 3160, 547, 476, 274, 270, 275, 7484, 25668, 20884, 4829, 282, 476, 272, 270, 275, 7484, 6712, 540, 986, 529, 1231, 568, 3160, 547, 476, 272, 270, 273, 7484, 25668, 20884, 4829, 454, 309, 1122, 564, 1963, 281, 22340, 30318, 2179, 281, 476, 273, 269, 276, 11680, 27473, 454, 1892, 1548, 12523, 607, 476, 272, 7484, 281, 476, 272, 270, 273, 7484, 6712, 540, 3039, 10365, 568, 3160, 547, 476, 272, 270, 273, 7484, 25668, 20884, 5388, 282, 476, 272, 7484, 6712, 540, 6151, 22156, 568, 3160, 547, 476, 272, 270, 273, 7484, 25668, 20884, 5388, 454, 294, 23230, 281, 22340, 30318, 2179, 281, 476, 277, 13728, 27473, 454, 1892, 1548, 12523, 607, 476, 272, 26412, 281, 476, 272, 20105, 540, 3694, 568, 3160, 547, 476, 272, 26412, 25668, 20884, 9274, 282, 476, 272, 270, 273, 7484, 6712, 540, 11273, 6960, 7573, 568, 3160, 547, 476, 272, 26412, 25668, 20884, 9274, 454, 306, 13610, 281, 22340, 30318, 2179, 281, 8766, 27473, 454, 1892, 3117, 2541, 1447, 982, 476, 1015, 2600, 540, 8477, 829, 1554, 689, 3773, 14836, 454, 293, 520, 281, 22340, 30318, 2179, 281, 8766, 27473, 454, 1892, 3117, 2541, 1447, 982, 476, 1015, 2600, 540, 8477, 829, 1554, 689, 15459, 9600, 454, 14303, 7205, 689, 4179, 2517, 8234, 10993, 7933, 2884, 776, 7666, 573, 3894, 270, 1001, 276, 270, 637, 1545, 270, 1001, 276, 268, 1708, 271, 32707, 2884, 776, 318, 21980, 3894, 15005, 593, 476, 6860, 270, 5400, 270, 1001, 280, 563, 15933, 8298, 281, 715, 26798, 2271, 820, 31524, 454, 13434, 867, 707, 6980, 267, 16152, 267, 10425, 267, 3092, 269, 936, 513, 476, 274, 1554, 1974, 269, 1280, 1142, 7594, 267, 1683, 519, 4266, 267, 707, 7594, 1543, 267, 543, 3313, 519, 1297, 540, 32122, 689, 1142, 1426, 1895, 269, 3629, 2347, 3877, 543, 1239, 630, 5408, 1383, 4737, 2630, 1916, 14630, 16680, 7594, 1543, 1934, 16680, 32122, 543, 540, 799, 1426, 1895, 454, 276, 270, 1321, 16505, 9724, 476, 16006, 7484, 540, 27046, 22596, 630, 18478, 609, 1216, 1070, 476, 26528, 540, 986, 529, 1231, 267, 476, 273, 11680, 540, 6995, 630, 5976, 476, 272, 512, 4944, 269, 4006, 1142, 1040, 717, 1778, 281, 476, 272, 12063, 269, 7674, 454, 293, 8816, 281, 476, 26528, 7484, 12015, 4829, 815, 476, 16006, 7484, 4195, 4829, 454, 306, 13610, 281, 476, 273, 512, 338, 1186, 563, 301, 26798, 2271, 820, 5811, 543, 8682, 3887, 1998, 6672, 454, 18800, 519, 5253, 8298, 540, 707, 6981, 585, 519, 476, 274, 1554, 1974, 269, 769, 519, 5750, 2630, 267, 585, 1142, 1554, 267, 2594, 519, 1297, 540, 32122, 596, 10057, 689, 1142, 7121, 269, 21302, 707, 6981, 3379, 547, 519, 22340, 4808, 543, 2626, 519, 1582, 3887, 1998, 6672, 2055, 538, 2347, 5220, 267, 1210, 1697, 10259, 543, 8239, 563, 291, 8543, 4419, 902, 19871, 4419, 902, 22500, 4419, 902, 17164, 762, 4419, 902, 717, 1778, 454, 291, 2905, 22340, 26678, 13832, 585, 606, 16989, 265, 476, 274, 11680, 476, 276, 269, 276, 13728, 476, 273, 11680, 476, 273, 269, 276, 11680, 476, 277, 13728, 8766, 8766, 454, 268, 9122, 593, 513, 476, 1220, 271, 17811, 2732, 585, 606, 476, 1240, 266, 10455, 2025, 2937, 2687, 547, 519, 476, 1001, 276, 268, 1708, 271, 26678, 13832, 563, 268, 769, 799, 2127, 540, 707, 9422, 6981, 1705, 596, 798, 1134, 888, 268, 6904, 2127, 540, 707, 9422, 6981, 991, 16369, 888, 268, 1548, 616, 930, 1808, 4189, 7933, 8667, 532, 2242, 596, 1223, 1118, 547, 1732, 3666, 707, 9422, 6981, 888, 268, 2991, 7421, 707, 9422, 6981, 543, 9236, 621, 547, 519, 22340, 4808, 267, 1018, 14281, 596, 888, 7069, 3408, 1957, 3382, 1585, 5380, 593, 13411, 3190, 12310, 543, 9409, 1095, 1878, 689, 1585, 10764, 269, 4906, 2441, 267, 1282, 1010, 2067, 3028, 267, 4810, 3875, 9409, 14326, 269, 30052, 267, 9039, 540, 873, 729, 811, 7986, 982, 4906, 2441, 269, 5015, 267, 950, 3781, 3357, 267, 789, 4547, 547, 1864, 3875, 945, 941, 1185, 609, 535, 328, 1742, 267, 543, 676, 519, 2262, 646, 5641, 856, 1629, 976, 267, 543, 973, 10967, 730, 782, 519, 530, 21317, 856, 257, 630, 31861, 476, 279, 281, 1626, 1040, 634, 6392, 540, 4906, 2441, 936, 9409, 14326, 729, 835, 540, 519, 2357, 5874, 602, 646, 729, 519, 12312, 540, 2696, 630, 299, 8123, 476, 1556, 281, 736, 1040, 634, 1821, 2812, 602, 1558, 4906, 2441, 6785, 1018, 1010, 3961, 729, 267, 543, 789, 23487, 539, 1864, 281, 834, 1432, 798, 596, 723, 609, 721, 267, 4906, 267, 12312, 540, 2696, 286, 5620, 596, 2097, 1934, 547, 25711, 721, 1354, 707, 942, 286, 834, 263, 31861, 476, 279, 281, 3066, 1040, 634, 9409, 14326, 8275, 602, 741, 1439, 786, 581, 835, 540, 25711, 269, 634, 4168, 5133, 593, 30616, 543, 1010, 1821, 2812, 27057, 3801, 547, 21933, 30185, 18705, 676, 2696, 543, 8945, 3388, 945, 666, 630, 272, 8834, 476, 276, 281, 476, 279, 267, 476, 273, 29833, 2103, 476, 1556, 281, 476, 1691, 268, 1428, 1040, 8061, 2812, 616, 17814, 607, 30255, 14326, 630, 31861, 476, 1015, 281, 476, 272, 267, 4460, 476, 272, 281, 2767, 1070, 14084, 14326, 630, 272, 18301, 476, 2420, 281, 2537, 264, 543, 519, 25552, 3190, 12310, 540, 30616, 630, 3725, 28156, 476, 1321, 281, 476, 280, 1040, 30616, 543, 1010, 1821, 2812, 26372, 342, 1074, 519, 1158, 630, 273, 29833, 2103, 476, 275, 281, 476, 275, 1070, 17551, 519, 536, 690, 639, 6240, 630, 272, 30227, 476, 275, 281, 476, 272, 1070, 14213, 10271, 630, 273, 29833, 2103, 476, 1321, 281, 476, 278, 267, 476, 272, 8834, 476, 276, 281, 476, 279, 264, 543, 6370, 519, 10723, 25552, 3190, 12310, 630, 3725, 28156, 476, 1321, 281, 476, 275, 268, 280, 264, 10271, 3398, 602, 5915, 976, 610, 15468, 25552, 3190, 12310, 616, 535, 3996, 540, 2696, 267, 2943, 789, 616, 8709, 638, 1639, 10779, 2456, 269, 4906, 2441, 834, 4532, 777, 659, 18469, 519, 4229, 257, 543, 834, 10603, 1551, 21724, 873, 538, 3376, 21765, 676, 6029, 873, 538, 1010, 4619, 16124, 1184, 542, 257, 630, 8624, 1601, 2103, 476, 273, 281, 1428, 715, 4353, 1040, 2755, 649, 10505, 547, 2696, 543, 28586, 519, 5636, 664, 267, 649, 1810, 1405, 723, 4376, 547, 4250, 269, 834, 585, 811, 7986, 568, 646, 602, 568, 538, 596, 267, 982, 646, 602, 568, 593, 519, 4541, 257, 630, 272, 3627, 476, 275, 281, 476, 275, 1040, 10271, 3972, 4911, 1564, 616, 2673, 547, 1753, 7096, 7068, 267, 945, 723, 1702, 267, 4606, 543, 786, 269, 901, 568, 4570, 538, 519, 1079, 12204, 540, 25552, 3190, 12310, 1390, 543, 535, 328, 754, 880, 1145, 630, 22563, 2812, 1040, 10513, 3190, 12310, 723, 5813, 630, 31861, 476, 279, 281, 3066, 267, 476, 273, 29833, 2103, 476, 1556, 281, 476, 274, 267, 476, 272, 8834, 476, 272, 281, 1321, 1070, 1397, 4606, 630, 299, 8123, 476, 273, 281, 1724, 267, 6276, 476, 273, 281, 866, 267, 31694, 476, 1321, 281, 476, 278, 1070, 543, 1397, 602, 789, 723, 513, 786, 630, 299, 8123, 476, 279, 2433, 476, 2764, 268, 4029, 282, 476, 273, 30227, 476, 273, 281, 2918, 282, 7225, 324, 476, 277, 1040, 645, 1652, 539, 3190, 12310, 616, 7096, 7068, 630, 3891, 3691, 9749, 476, 272, 281, 1691, 1070, 1510, 513, 9758, 4890, 1560, 269, 634, 1259, 602, 789, 1810, 1405, 723, 4703, 3085, 1405, 3310, 519, 1259, 602, 789, 723, 3197, 269, 634, 1344, 6417, 676, 31676, 7390, 1218, 568, 11658, 267, 676, 519, 4641, 540, 1373, 1500, 7068, 269, 901, 10522, 602, 789, 616, 711, 782, 268, 3104, 532, 607, 2696, 630, 31861, 476, 2190, 281, 3607, 1070, 538, 19220, 540, 519, 1249, 602, 789, 798, 2408, 547, 723, 811, 29810, 1344, 982, 1004, 269, 901, 666, 581, 1317, 540, 1614, 3123, 269, 634, 31676, 7390, 1218, 941, 1500, 607, 513, 2362, 7662, 540, 2831, 538, 519, 7122, 267, 547, 1018, 538, 1880, 616, 1004, 269, 22353, 267, 621, 568, 17271, 538, 873, 547, 723, 513, 811, 7986, 1344, 269, 24656, 569, 7390, 1218, 1353, 519, 6426, 543, 519, 1158, 811, 4625, 982, 1004, 543, 2744, 1344, 593, 621, 269, 630, 22832, 476, 273, 281, 866, 267, 31694, 476, 1321, 281, 1321, 1040, 24656, 569, 7390, 1218, 1205, 1344, 998, 513, 1279, 8226, 540, 1480, 5751, 269, 769, 4334, 547, 1004, 267, 31676, 7390, 1218, 1810, 1405, 991, 547, 14719, 622, 519, 2250, 282, 789, 723, 1175, 4810, 621, 269, 2334, 568, 519, 2601, 789, 917, 875, 1866, 723, 19500, 543, 15527, 538, 6381, 267, 543, 666, 2062, 5408, 609, 513, 3978, 1377, 540, 900, 874, 1738, 1145, 875, 649, 666, 957, 538, 13380, 2175, 269, 6736, 519, 1249, 602, 789, 723, 513, 786, 267, 519, 13411, 3190, 12310, 616, 267, 2147, 547, 782, 2831, 267, 1641, 547, 519, 7287, 540, 2696, 269, 4279, 13411, 3190, 12310, 616, 2366, 676, 2696, 547, 948, 25058, 525, 630, 3891, 3691, 9749, 476, 272, 281, 1691, 1040, 10513, 3190, 12310, 616, 9763, 607, 2386, 7060, 540, 2470, 267, 14839, 5961, 610, 4453, 906, 269, 769, 3875, 7262, 5380, 25552, 3190, 12310, 2097, 538, 607, 3170, 23109, 267, 12256, 267, 10694, 19920, 610, 21031, 609, 513, 2234, 4800, 21214, 741, 9843, 269, 769, 9099, 7939, 267, 789, 616, 9758, 1500, 7068, 945, 786, 538, 519, 1279, 2196, 22036, 8429, 267, 2943, 945, 616, 676, 543, 1804, 588, 15735, 2476, 689, 938, 31399, 625, 269, 1358, 616, 9444, 31676, 6862, 10859, 1673, 643, 710, 267, 6862, 616, 789, 4448, 609, 2696, 18177, 585, 5883, 1585, 4773, 540, 519, 7122, 269, 3958, 267, 789, 11129, 711, 581, 740, 1819, 610, 4280, 267, 538, 1769, 540, 519, 1249, 602, 789, 1810, 1405, 2285, 938, 4620, 1431, 547, 2696, 269, 1358, 10505, 547, 2696, 543, 14183, 3571, 3652, 269, 769, 519, 9099, 5133, 593, 1919, 267, 972, 616, 1100, 15468, 31676, 7390, 1218, 281, 789, 616, 711, 9678, 883, 834, 24030, 257, 543, 834, 614, 12288, 257, 13411, 3190, 12310, 269, 4658, 1810, 1405, 1831 ]

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

[ 2661, 538, 513, 1507, 19887, 267, 789, 1522, 991, 948, 13936, 1346, 3688, 269, 1635, 11488, 4130, 10833, 936, 942, 3079, 267, 596, 1450, 873, 547, 10891, 1142, 6765, 1732, 269, 2334, 781, 9247, 1018, 2095, 1852, 1281, 538, 13033, 2474, 2439, 2162, 5556, 3878, 3680, 766, 692, 17812, 3878, 21084, 9388, 609, 7303, 3871, 1141, 865, 1454, 1239, 13788, 513, 3060, 602, 621, 3587, 16397, 269, 22748, 1562, 3743, 585, 4464, 532, 1239, 21168, 2429, 519, 3060, 6895, 741, 6446, 1132, 1107, 10889, 619, 8066, 5196, 21168, 7996, 547, 581, 2366, 1107, 5702, 269, 1879, 20313, 13080, 3914, 2565, 2157, 267, 31425, 6749, 4430, 21168, 547, 8190, 2949, 1062, 2773, 269, 667, 549, 6137, 21168, 949, 3100, 4831, 842, 30698, 267, 855, 3257, 865, 2337, 2226, 10257, 11250, 585, 824, 3755, 1247, 10332, 532, 6494, 619, 547, 3500, 1524, 269, 16828, 267, 519, 30699, 6971, 922, 10605, 267, 3976, 4227, 2604, 593, 519, 18760, 543, 9319, 2104, 17142, 12772, 780, 14300, 2986, 5556, 3878, 6513, 27122, 454, 14343, 7042, 26452, 6620, 723, 1044, 2919, 547, 10994, 3060, 20316, 3927, 269, 2368, 2442, 3283, 1331, 27427, 570, 1695, 4141, 267, 11412, 334, 267, 1715, 30262, 334, 267, 595, 18510, 2975, 267, 645, 16576, 267, 543, 30988, 269, 3962, 5690, 3096, 1114, 2994, 585, 9013, 20316, 1759, 593, 2188, 971, 607, 11760, 618, 3270, 267, 5180, 7552, 2053, 267, 543, 2139, 17280, 5624, 269, 1717, 267, 7713, 1169, 2582, 835, 4422, 3564, 938, 9165, 1934, 269, 5502, 267, 1577, 721, 1491, 513, 6251, 1413, 693, 28298, 6513, 16257, 630, 307, 9573, 1070, 24903, 519, 1034, 4922, 1031, 3560, 7014, 2221, 780, 9558, 3939, 6513, 16257, 630, 307, 9573, 2567, 589, 6206, 26761, 454, 14343, 15365, 307, 9573, 4249, 513, 1713, 1909, 538, 5883, 3060, 20316, 1317, 621, 24598, 1231, 1898, 3156, 899, 4757, 7218, 267, 3758, 4483, 2645, 267, 543, 1357, 26292, 269, 4706, 3119, 3804, 568, 4180, 6325, 1439, 3562, 15134, 5048, 6765, 269, 2060, 27427, 267, 1239, 568, 8237, 883, 12415, 5627, 5311, 2338, 7114, 1367, 25466, 3330, 513, 10126, 269, 25547, 1392, 11760, 4607, 12415, 267, 7175, 6494, 619, 547, 3713, 7508, 4773, 3533, 269, 3414, 1896, 13217, 906, 2094, 922, 8798, 538, 519, 3735, 1412, 3583, 338, 267, 2413, 30582, 899, 27427, 570, 1695, 4141, 267, 11412, 334, 267, 543, 1715, 30262, 334, 1631, 6451, 4359, 20316, 2359, 2934, 780, 23087, 454, 15365, 15187, 1740, 20316, 1852, 5849, 5347, 22892, 593, 519, 2706, 14683, 3118, 540, 3059, 2792, 269, 1635, 15725, 519, 2095, 540, 1239, 1063, 3457, 4448, 1369, 5121, 267, 621, 11151, 4420, 6352, 1815, 802, 543, 8952, 3025, 6126, 269, 4635, 1585, 6620, 267, 1519, 27427, 267, 31425, 543, 14747, 11282, 3646, 547, 3666, 3747, 1996, 4199, 8244, 4111, 1836, 269, 1924, 1985, 942, 596, 1995, 554, 27364, 5725, 1247, 11981, 707, 5172, 2228, 2238, 267, 3314, 602, 3297, 519, 10207, 267, 1950, 1949, 960, 24091, 547, 1832, 3388, 4881, 12347, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 27324, 15379, 543, 8950, 7177, 454, 314, 6588, 706, 566, 1576, 347, 12392, 1982, 26180, 659, 8372, 2639, 5472, 6030, 267, 12200, 1592, 902, 267, 543, 6437, 543, 22692, 4170, 4330, 538, 713, 3561, 616, 1641, 547, 1689, 610, 15639, 1510, 5469, 563, 2690, 1576, 11673, 711, 1336, 538, 10813, 5842, 17630, 4937, 18280, 690, 476, 1708, 273, 1700, 2537, 267, 3346, 519, 8257, 585, 811, 1344, 563, 763, 8257, 786, 20089, 547, 2709, 519, 6030, 4330, 2630, 282, 2705, 267, 27644, 6381, 3006, 2154, 513, 1689, 538, 16516, 3091, 269, 4841, 616, 9244, 9415, 547, 5077, 519, 1362, 610, 8257, 8430, 1354, 13461, 593, 519, 8430, 2630, 269, 1280, 519, 4408, 540, 519, 16929, 945, 786, 4001, 519, 1576, 267, 1294, 519, 22588, 569, 4147, 21480, 269, 519, 8257, 781, 3896, 10674, 2517, 324, 576, 269, 1075, 338, 323, 12975, 514, 11079, 519, 1699, 1655, 7447, 540, 1153, 3108, 585, 519, 3003, 1153, 1032, 563, 4488, 292, 476, 276, 269, 4985, 547, 15379, 543, 8950, 7177, 630, 275, 994, 7072, 547, 15379, 543, 8950, 7177, 269, 11762, 1331, 5547, 3069, 267, 10198, 543, 1449, 328, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 15187, 1740, 5556, 3878, 6513, 257, 607, 851, 540, 834, 28035, 1315, 32730, 1315, 4937, 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, 681, 3770, 543, 6657, 281, 634, 9839, 18566, 540, 16241, 5020, 692, 296, 269, 4985, 692, 2414, 4497, 25006, 609, 519, 1353, 540, 4984, 267, 835, 1590, 20920, 609, 519, 10848, 7915, 538, 10747, 922, 1360, 2470, 269, 1306, 938, 1257, 6920, 267, 6998, 834, 1432, 568, 4984, 8119, 568, 1454, 899, 1064, 1746, 834, 1432, 568, 1434, 8119, 5637, 2055, 5905, 2390, 7184, 4371, 2418, 543, 4978, 267, 1419, 12082, 538, 1367, 2833, 543, 2686, 8658, 269, 2755, 891, 1871, 2000, 23565, 7516, 949, 5706, 17046, 3621, 8760, 267, 789, 20866, 1683, 15417, 2666, 585, 13354, 3909, 7634, 269, 13018, 267, 6313, 3838, 9161, 2853, 3091, 2189, 4030, 883, 519, 5203, 1275, 540, 3909, 1995, 1247, 27283, 519, 10058, 4162, 540, 3309, 5289, 5389, 269, 769, 713, 1770, 267, 649, 5490, 883, 519, 15491, 1158, 540, 12738, 543, 2853, 607, 3844, 3344, 540, 3909, 4082, 543, 3961, 780, 2862, 269, 20223, 681, 3770, 543, 6657, 692, 4263, 1101, 16145, 267, 23243, 1063, 9161, 543, 2259, 1522, 3100, 3551, 282, 2705, 267, 6297, 7156, 8761, 1713, 16937, 543, 22524, 11163, 1063, 891, 1079, 6688, 269, 1280, 938, 5301, 267, 1577, 721, 5581, 9161, 607, 513, 12572, 267, 4806, 539, 5311, 540, 3527, 5340, 1369, 513, 1808, 3909, 2796, 267, 1419, 1439, 15735, 609, 10723, 4644, 269, 13756, 267, 593, 519, 824, 1688, 267, 13822, 519, 6626, 8552, 540, 3909, 2238, 602, 2043, 543, 2950, 22738, 547, 11349, 14039, 1214, 267, 6536, 10362, 267, 543, 4890, 1125, 5132, 3741, 538, 3232, 1272, 269, 4935, 267, 6466, 12738, 4043, 547, 581, 6101, 1242, 267, 16625, 2621, 6825, 676, 32444, 640, 543, 16008, 267, 2853, 7854, 811, 27217, 2943, 8449, 4105, 3334, 540, 3909, 6228, 267, 971, 607, 11755, 267, 9066, 267, 26988, 6411, 267, 543, 5683, 2713, 780, 7656, 269, 681, 3770, 338, 607, 21940, 776, 5336, 1046, 619, 543, 7991, 5174, 4265, 619, 692, 305, 3770, 338, 4196, 2789, 3252, 1369, 3909, 1949, 267, 8783, 1851, 873, 1629, 2117, 908, 6302, 1063, 1202, 11107, 543, 16080, 11107, 543, 5807, 1514, 22122, 1851, 21071, 269, 1635, 10283, 538, 7104, 32537, 267, 740, 6254, 338, 556, 3530, 3305, 741, 7029, 547, 519, 2146, 543, 922, 3838, 2418, 267, 17923, 1895, 3961, 998, 7368, 15357, 906, 540, 18497, 3965, 543, 2245, 269, 5047, 267, 12738, 1419, 4125, 12939, 8090, 1765, 10520, 1431, 1063, 1114, 5933, 540, 1272, 267, 10593, 538, 6848, 5107, 267, 610, 15102, 689, 1527, 2033, 547, 10723, 5624, 20196, 28173, 18497, 6284, 543, 1489, 269, 9024, 2747, 18428, 267, 1187, 5644, 267, 12311, 26204, 267, 543, 12119, 15976, 12013, 1518, 971, 1929, 1400, 2833, 267, 13296, 5171, 15217, 6330, 13710, 795, 9417, 999, 896, 326, 2273, 539, 676, 3909, 7254, 794, 543, 11461, 676, 942, 3620, 517, 1819, 9821, 780, 288, 8037, 1383, 540, 9161, 781, 10465, 27360, 532, 1599, 666, 581, 4767, 538, 519, 6014, 2259, 540, 737, 1662, 337, 583, 267, 610, 8192, 4031, 269, 1520, 17518, 547, 7453, 4808, 3823, 7989, 24777, 3536, 543, 741, 7041, 2409, 5036, 7642, 6306, 689, 1312, 8284, 1395, 6139, 2065, 5389, 630, 22146, 640, 543, 5771, 264, 543, 16712, 2486, 693, 1804, 267, 1266, 754, 1359, 513, 2631, 540, 3982, 4369, 602, 10240, 9094, 18497, 7554, 543, 19156, 519, 2956, 540, 30176, 10143, 4971, 906, 269, 5015, 267, 7589, 538, 18497, 6980, 27137, 607, 519, 30687, 6822, 518, 610, 590, 30117, 12129, 1765, 516, 514, 1721, 806, 17604, 1851, 4295, 5554, 542, 1235, 1247, 8195, 27195, 1875, 268, 10849, 969, 656, 1866, 780, 4353, 269, 21150, 617, 1221, 20154, 640, 281, 634, 10020, 540, 519, 10610, 538, 681, 3770, 13437, 692, 23338, 547, 1022, 4901, 540, 3909, 9161, 568, 606, 6514, 540, 519, 1909, 5129, 676, 519, 1480, 1560, 538, 1199, 11868, 13341, 1063, 519, 16637, 550, 7706, 543, 3618, 569, 6228, 269, 11569, 267, 10236, 6048, 21965, 13852, 733, 1742, 602, 834, 761, 783, 1436, 257, 3322, 519, 12879, 540, 15629, 14302, 267, 3350, 267, 543, 10444, 6278, 547, 1711, 15398, 4656, 540, 519, 10723, 269, 3414, 5402, 25287, 8319, 1117, 17267, 267, 13047, 3074, 267, 543, 2168, 5447, 906, 267, 9439, 3343, 547, 3715, 4296, 609, 10143, 9988, 267, 18577, 14326, 267, 610, 16750, 4229, 602, 20546, 6071, 11913, 13994, 2827, 540, 5132, 780, 2690, 3236, 267, 2015, 519, 9099, 2259, 540, 2892, 520, 267, 610, 9161, 11755, 269, 12866, 2053, 3232, 267, 2616, 656, 12356, 8263, 11311, 15629, 7158, 1765, 9227, 267, 6367, 532, 267, 605, 1598, 908, 267, 9361, 1765, 6112, 973, 1746, 1808, 12428, 1045, 23148, 5497, 547, 1045, 5803, 27527, 585, 2696, 543, 19169, 547, 3571, 786, 269, 1635, 2502, 1312, 2247, 543, 1560, 538, 20291, 9696, 540, 1821, 10899, 2534, 267, 26902, 26802, 11441, 4724, 2829, 540, 7096, 5834, 543, 5289, 1140, 2317, 618, 267, 7551, 28043, 519, 7941, 1063, 1570, 4641, 543, 1799, 1468, 2820, 6541, 780, 309, 269, 3690, 326, 4809, 13756, 281, 27915, 16390, 547, 1234, 16386, 645, 4637, 692, 13640, 611, 2135, 1227, 267, 930, 3909, 2853, 27167, 20982, 1098, 326, 11306, 540, 29708, 2623, 267, 1016, 31844, 3964, 6788, 547, 14751, 18497, 13218, 543, 12927, 5837, 9479, 269, 6270, 1929, 1400, 6411, 4749, 2049, 1282, 23097, 2297, 4302, 16873, 1765, 300, 31651, 6182, 553, 267, 4144, 28549, 267, 8830, 574, 267, 543, 4591, 328, 267, 547, 2012, 513, 1906, 1765, 3602, 11240, 787, 267, 11792, 20960, 1228, 267, 543, 12689, 17303, 771, 2897, 9889, 22941, 10148, 267, 3850, 5171, 547, 4090, 3320, 9101, 6848, 25327, 543, 32696, 538, 6382, 19275, 5418, 9778, 269, 1452, 1098, 326, 4809, 14501, 6038, 7794, 17888, 1379, 3889, 676, 3246, 13350, 19093, 585, 29926, 543, 4430, 267, 3976, 8497, 1514, 1931, 543, 4180, 4797, 15984, 547, 2757, 2418, 780, 9654, 269, 12634, 12694, 543, 11627, 725, 538, 681, 3770, 6657, 692, 1103, 2221, 781, 2518, 1944, 1158, 267, 1141, 6639, 7760, 7520, 4028, 2792, 543, 3444, 14426, 5385, 267, 3909, 5389, 5051, 7237, 3209, 6381, 602, 3747, 3860, 14624, 540, 2085, 6040, 12738, 543, 2853, 269, 14044, 5867, 1631, 5512, 6552, 7589, 538, 1396, 17790, 2533, 267, 2228, 19623, 1137, 267, 543, 7857, 1242, 21334, 1308, 4205, 267, 9870, 2055, 827, 519, 13597, 543, 12117, 540, 971, 25358, 3909, 2833, 3379, 547, 741, 3068, 3562, 19904, 13413, 269, 3958, 267, 1019, 19166, 545, 5095, 13720, 2152, 4478, 5348, 4038, 1143, 267, 934, 738, 4851, 267, 543, 10316, 9163, 602, 4161, 6671, 24300, 540, 3909, 31249, 344, 543, 735, 601, 5499, 6114, 3358, 547, 2743, 519, 2115, 540, 4207, 9439, 780, 3080, 11495, 1383, 2501, 689, 5545, 1744, 20041, 1143, 267, 799, 814, 14754, 513, 10006, 538, 6880, 268, 1679, 13668, 5275, 25736, 585, 5907, 3457, 267, 5691, 10130, 267, 543, 1256, 3059, 1268, 553, 269, 1635, 9750, 519, 9165, 540, 10723, 6304, 3564, 15889, 3615, 543, 22993, 5396, 267, 891, 23349, 4620, 1431, 2992, 9687, 1523, 687, 540, 1582, 3125, 267, 17035, 267, 543, 2029, 602, 20519, 2417, 14046, 3007, 1369, 519, 2361, 540, 13354, 4984, 780, 23997, 269, 10390, 692, 1607, 1770, 814, 8268, 519, 16221, 2081, 538, 799, 12738, 543, 2853, 13822, 1898, 2609, 540, 3909, 1272, 267, 7674, 1585, 3252, 602, 2039, 689, 1629, 2117, 908, 6302, 543, 2679, 2146, 547, 18220, 532, 17035, 543, 3048, 908, 6114, 547, 4657, 8739, 14426, 8916, 269, 10801, 938, 7634, 267, 649, 723, 8179, 547, 30881, 1312, 519, 8471, 3344, 540, 3909, 4082, 543, 519, 2189, 2934, 602, 10646, 19635, 5389, 689, 835, 1776, 269, 11086, 267, 9301, 519, 6988, 543, 4763, 7915, 538, 9161, 2773, 2620, 839, 938, 7071 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 291, 17920, 3008, 4924, 269, 476, 866, 267, 476, 1220, 278, 595, 268, 3725, 5562, 19871, 267, 4922, 9833, 607, 513, 1981, 3815, 585, 13119, 543, 824, 3029, 540, 9025, 2068, 267, 4249, 513, 1463, 1909, 538, 519, 12614, 540, 13119, 267, 3173, 693, 29031, 3162, 13523, 6481, 4741, 723, 1336, 563, 20442, 723, 4362, 602, 595, 268, 3725, 5562, 19871, 630, 10135, 303, 264, 568, 711, 8806, 513, 15262, 540, 519, 1981, 540, 13119, 267, 621, 2965, 28901, 13119, 2437, 1767, 3220, 269, 654, 534, 5155, 966, 784, 6312, 11446, 514, 267, 12314, 7548, 540, 4835, 4915, 543, 1291, 2278, 540, 519, 1353, 17729, 538, 519, 5988, 3390, 540, 19449, 27218, 563, 7473, 3162, 13523, 3173, 6594, 8983, 609, 606, 22041, 5444, 585, 10911, 303, 602, 729, 896, 519, 7939, 540, 513, 2034, 5444, 17841, 547, 2242, 538, 8192, 19346, 6981, 269, 634, 2157, 540, 21883, 10911, 303, 267, 799, 568, 3812, 676, 519, 6797, 267, 941, 2047, 26203, 676, 19249, 519, 8983, 781, 11326, 267, 543, 519, 1198, 593, 1973, 2604, 729, 5462, 269, 769, 713, 6073, 519, 3527, 540, 10911, 303, 941, 5302, 27935, 689, 519, 3527, 540, 824, 18657, 2209, 540, 6553, 563, 20442, 1336, 602, 950, 649, 23564, 593, 519, 5444, 602, 3123, 4679, 538, 10911, 303, 267, 519, 1973, 2604, 4682, 909, 267, 543, 950, 649, 5828, 1055, 519, 5444, 543, 10911, 303, 2157, 4682, 1524, 267, 519, 1973, 2604, 8593, 269, 10791, 2242, 538, 519, 1852, 8983, 1185, 1100, 1198, 267, 10834, 602, 519, 1973, 2604, 6114, 941, 1813, 547, 10911, 303, 2437, 1767, 3220, 269, 966, 784, 6312, 11446, 514, 269, 834, 763, 2014, 540, 11506, 1973, 2604, 13251, 676, 10911, 303, 729, 849, 5462, 4799, 32747, 2090, 936, 519, 2250, 8717, 723, 6700, 602, 12225, 1227, 11506, 2157, 540, 10911, 303, 5815, 6553, 602, 12662, 606, 1367, 693, 1981, 585, 13119, 543, 824, 9025, 22074, 971, 607, 2182, 2287, 540, 519, 16209, 563, 763, 8983, 538, 519, 5767, 1353, 941, 25436, 17567, 547, 2587, 3999, 839, 514, 4083, 267, 799, 568, 513, 2101, 21883, 3815, 15725, 1973, 2604, 3842, 27555, 1526, 9689, 269, 901, 729, 1813, 547, 19260, 538, 1883, 5946, 538, 519, 15466, 3774, 602, 616, 3238, 609, 2587, 3999, 839, 514, 4083, 269, 0, 17220, 23654, 26930, 10022, 476, 275, 281, 4489, 268, 21172, 630, 1220, 280, 994, 347, 20082, 1475, 1607, 1957, 9607, 519, 3390, 540, 1426, 3354, 538, 3384, 2477, 543, 875, 6683, 4249, 606, 1271, 1909, 538, 8236, 711, 1152, 1426, 3354, 267, 855, 849, 538, 4227, 6710, 543, 5009, 4264, 1646, 269, 634, 13319, 540, 4123, 12666, 1436, 676, 519, 2622, 11780, 9257, 630, 310, 15674, 264, 998, 519, 15716, 593, 11982, 630, 288, 334, 288, 264, 814, 14944, 1441, 519, 11327, 4390, 540, 3384, 2477, 543, 741, 13354, 5413, 538, 519, 6694, 5823, 267, 8589, 1944, 1507, 8397, 6705, 543, 4324, 1154, 519, 2462, 14078, 269, 634, 1957, 5654, 693, 519, 3390, 540, 7214, 3959, 2924, 602, 2462, 14078, 723, 585, 5452, 543, 741, 2360, 593, 1507, 8397, 6705, 267, 543, 875, 9746, 1514, 5539, 630, 5425, 305, 264, 568, 13385, 547, 10038, 519, 17282, 540, 2462, 14078, 538, 519, 1426, 543, 6694, 2344, 269, 634, 1957, 568, 5258, 883, 5722, 6810, 281, 4123, 12666, 1436, 543, 1426, 3354, 267, 519, 654, 15674, 543, 519, 589, 334, 288, 267, 519, 2360, 540, 519, 589, 334, 288, 593, 3384, 2477, 267, 519, 1909, 540, 30427, 14078, 630, 307, 10998, 338, 264, 593, 1426, 3354, 267, 11483, 305, 543, 570, 10998, 338, 267, 3609, 7840, 267, 543, 8753, 2008, 347, 21292, 1475, 5591, 17161, 9138, 630, 25785, 621, 10245, 18871, 20975, 1475, 322, 1538, 528, 1125, 713, 1957, 10245, 347, 7437, 707, 5399, 1475, 18183, 2682, 2008, 13436, 2835, 543, 4930, 454, 25402, 5839, 27908, 534, 1299, 10906, 22337, 2401, 630, 1001, 273, 1040, 3807, 543, 12655, 286, 24167, 519, 31898, 7595, 543, 15783, 7464, 885, 540, 5177, 5253, 8232, 269, 4750, 540, 16581, 543, 7025, 15979, 476, 1839, 630, 273, 2567, 8687, 268, 14225, 563, 27746, 918, 269, 26673, 9581, 517, 267, 29542, 590, 269, 6276, 1299, 5261, 667, 269, 1261, 742, 1716, 534, 630, 1220, 279, 1040, 6496, 519, 2622, 10261, 772, 2529, 269, 26478, 4634, 1403, 4892, 5213, 1405, 286, 4750, 540, 16581, 543, 7025, 15979, 476, 2641, 630, 275, 2567, 25313, 268, 29044, 563, 298, 269, 26673, 9581, 517, 6307, 267, 590, 269, 6276, 29542, 1299, 667, 269, 1261, 742, 1716, 534, 5261, 630, 1220, 279, 1040, 6496, 519, 2622, 10261, 772, 2529, 269, 26478, 4634, 1403, 4892, 5213, 1405, 286, 4750, 540, 16581, 543, 7025, 15979, 476, 2641, 630, 275, 1916, 293, 4920, 654, 269, 589, 269, 645, 668, 630, 1220, 275, 1040, 654, 15674, 267, 5398, 17217, 543, 5253, 5398, 25705, 538, 519, 1412, 307, 8565, 18366, 262, 593, 10648, 6363, 797, 269, 19078, 7869, 543, 26874, 6657, 476, 278, 630, 275, 2567, 275, 1704, 910, 476, 32542, 563, 305, 2788, 22642, 1299, 6424, 11709, 345, 31899, 267, 1744, 14823, 590, 1343, 281, 9612, 532, 585, 513, 3281, 668, 1047, 538, 519, 654, 15674, 32468, 9911, 593, 11982, 563, 11321, 15925, 700, 269, 595, 709, 577, 630, 1960, 276, 1040, 30911, 568, 3502, 3281, 26702, 609, 12655, 11982, 269, 4750, 540, 16581, 543, 7025, 15979, 476, 279, 630, 273, 2567, 7176, 268, 9340, 563, 300, 21840, 717, 269, 5211, 320, 6363, 518, 516, 630, 1220, 280, 1040, 2052, 1401, 1636, 14114, 686, 5034, 13985, 20628, 538, 15043, 18831, 2142, 12655, 543, 32754, 12655, 4886, 286, 634, 1744, 18276, 8865, 269, 4750, 540, 16581, 543, 7025, 15979, 476, 2420, 630, 275, 1916, 289, 1716, 731, 594, 269, 8298, 534, 630, 2735, 280, 1040, 6554, 5890, 754, 23321, 593, 7383, 539, 18452, 338, 543, 519, 17644, 540, 5253, 8682, 4149, 340, 11797, 543, 5253, 8232, 538, 519, 8828, 3979, 4886, 3213, 14114, 6113, 1588, 10985, 269, 4750, 540, 16581, 543, 7025, 15979, 476, 273, 630, 274, 2567, 4489, 268, 21709, 563, 21837, 595, 269, 8065, 267, 590, 830, 517, 661, 327, 14241, 1299, 18332, 5548, 326, 5964, 630, 1220, 275, 1040, 634, 700, 12083, 7169, 267, 5253, 8881, 267, 543, 9540, 4149, 7051, 26478, 281, 4208, 1358, 17460, 547, 2974, 2353, 269, 1496, 3918, 26177, 316, 4750, 540, 16581, 543, 7025, 15979, 476, 1704, 630, 275, 268, 276, 2567, 28883, 268, 29900, 563, 307, 714, 10730, 717, 558, 1512, 334, 267, 24381, 714, 1470, 717, 269, 14529, 1961, 26152, 1299, 6424, 623, 2939, 601, 630, 1001, 271, 1040, 12713, 30669, 281, 21252, 267, 15979, 267, 543, 7799, 1080, 547, 5274, 2561, 10187, 566, 540, 23270, 7896, 269, 1496, 3918, 26177, 316, 4750, 540, 16581, 543, 7025, 15979, 476, 2537, 630, 276, 2567, 29889, 268, 275, 4097, 563, 28989, 267, 972, 616, 711, 2614, 1239, 2798, 547, 4729, 713, 5750, 563, 3849, 4765, 547, 4994, 1001, 272, 268, 1321, 268, 6349, 454, 13146, 28085, 630, 277, 3275, 264, 271, 454, 1692, 666, 594, 2333, 1250, 28085, 286, 0, 1103, 2053, 540, 2706, 21466, 27865, 3415, 910, 950, 519, 21684, 616, 30528, 609, 519, 1482, 1426, 2429, 519, 1032, 910, 649, 666, 3362, 1831, 1033, 3737, 689, 519, 1909, 540, 519, 12405, 593, 938, 1426, 269, 1656, 676, 10137, 267, 2390, 519, 11396, 543, 6705, 602, 3132, 621, 269, 769, 3384, 2477, 267, 519, 1198, 540, 519, 12405, 568, 3226, 8650, 910, 607, 621, 568, 30898, 4428, 1229, 676, 3039, 17346, 543, 824, 6694, 530, 19123, 787, 269, 1306, 971, 267, 1646, 3609, 15670, 991, 547, 581, 811, 13533, 540, 4005, 1275, 3248, 2507, 337, 1116, 24454, 538, 3384, 2477, 10929, 2834, 267, 22150, 267, 543, 1419, 7372, 267, 2242, 2687, 547, 519, 4806, 540, 519, 12405, 269, 769, 1880, 267, 519, 5993, 22856, 3142, 827, 1107, 610, 3142, 547, 513, 8445, 1107, 782, 12204, 540, 2360, 1107, 1034, 540, 873, 8801, 952, 596, 616, 4057, 269, 1452, 1331, 27781, 267, 1648, 22930, 267, 4679, 538, 19210, 267, 9194, 267, 17732, 540, 2724, 543, 2469, 883, 7963, 563, 2005, 729, 513, 2834, 6249, 538, 1646, 2090, 689, 519, 3735, 476, 3192, 271, 338, 269, 3973, 621, 2864, 8593, 689, 12797, 563, 8139, 543, 2679, 4005, 1275, 883, 4507, 568, 1869, 4143, 1107, 538, 1249, 6148, 811, 4143, 982, 2479, 607, 2916, 1689, 17486, 269, 1656, 602, 1869, 3884, 1406, 8345, 282, 9969, 326, 27935, 1239, 593, 12119, 6710, 568, 1869, 2182, 547, 1265, 267, 543, 835, 540, 741, 7840, 568, 602, 6710, 7194, 1058, 2992, 12119, 8390, 267, 3079, 540, 8989, 513, 2582, 6710, 2212, 12248, 585, 513, 2016, 1032, 563, 9638, 4732, 269, 4005, 1275, 5750, 689, 15182, 281, 23123, 543, 31204, 269, 9509, 540, 8748, 1426, 1374, 543, 2093, 264, 0, 273, 269, 595, 2130, 10341, 454, 274, 269, 29960, 10341, 454, 275, 269, 1290, 3228, 532, 10341, 454, 704, 576, 633, 7218, 3929, 1533, 543, 1489, 543, 1590, 581, 1033, 3737, 563, 30342, 14156, 1253, 571, 9853, 607, 519, 7817, 454, 534, 6896, 5311, 540, 1966, 6061, 3268, 1031, 547, 2697, 543, 4383, 1072, 2042, 563, 300, 755, 581, 538, 519, 3656, 9165, 540, 8808, 454, 17780, 593, 11310, 910, 10671, 2231, 11879, 15154, 454, 5522, 10165, 281, 5029, 1242, 543, 9836, 454, 5141, 1304, 2578, 1229, 910, 5917, 11229, 910, 21111, 814, 547, 581, 851, 540, 621, 563, 7883, 531, 6034, 539, 910, 13201, 547, 581, 10257, 454, 26212, 527, 1242, 910, 16549, 869, 910, 1018, 781, 1034, 1271, 454, 291, 29174, 910, 4790, 14688, 21744, 454, 10861, 301, 781, 543, 681, 301, 781, 723, 1114, 9021, 1644, 547, 519, 8808, 1184, 855, 519, 681, 301, 1869, 3743, 585, 1239, 4015, 563, 18744, 1344, 7218, 7959, 543, 6257, 608, 281, 1928, 267, 15353, 267, 546, 714, 5414, 267, 19228, 454, 25332, 969, 762, 543, 22905, 1249, 608, 281, 13379, 267, 22680, 267, 13942, 267, 6711, 725, 454, 27650, 11905, 281, 21111, 454, 13553, 776, 11905, 281, 7731, 267, 5359, 267, 1449, 2164, 454, 10574, 12476, 10495, 454, 4467, 11772, 633, 269, 5136, 22633, 693, 16075, 543, 2168, 981, 563, 11854, 6900, 267, 9450, 1344, 269, 10312, 593, 835, 1808, 1858, 540, 2027, 640, 454, 288, 1072, 3390, 602, 666, 581, 15286, 267, 4389, 267, 17251, 610, 8476, 998, 4830, 8808, 3800, 563, 22139, 1977, 16711, 23369, 5948, 454, 11243, 540, 1072, 1644, 2152, 610, 2042, 607, 4857, 538, 519, 715, 3198, 6395, 1592, 563, 26212, 527, 1944, 8808, 5868, 563, 30655, 894, 2042, 609, 1866, 454, 9288, 553, 9092, 3853, 609, 519, 3461, 454, 14112, 12910, 25779, 454, 288, 1906, 2395, 547, 513, 3018, 543, 1590, 723, 513, 3077, 4266, 454, 16524, 12910, 25779, 454, 2171, 4060, 610, 3275, 454, 17445, 687, 585, 513, 7218, 1416, 454, 18184, 1841, 540, 5516, 454, 303, 4301, 625, 602, 5815, 799, 2238, 786, 581, 3177, 547, 2327, 2298, 7817, 1416, 454, 10111, 11538, 856, 519, 1544, 540, 1416, 454, 763, 1259, 538, 799, 11923, 3313, 2436, 513, 7817, 814, 6603, 513, 3804, 563, 288, 1505, 540, 12180, 1344, 883, 12449, 610, 3182, 3645, 1106, 269, 0, 1103, 519, 2362, 7103, 267, 519, 6981, 540, 10250, 2609, 4386, 5631, 998, 519, 7929, 1062, 610, 998, 519, 1426, 5832, 269, 3487, 21871, 267, 1082, 5906, 2609, 610, 7135, 267, 971, 607, 8407, 18645, 2059, 519, 1426, 5832, 269, 769, 713, 1259, 267, 519, 1426, 5832, 3587, 519, 1292, 24891, 585, 10770, 6757, 1218, 547, 4283, 2362, 7103, 269, 5015, 267, 891, 6757, 2609, 3622, 723, 606, 27643, 5169, 543, 3976, 741, 9830, 538, 519, 1604, 1332, 609, 519, 2333, 540, 4683, 267, 6694, 543, 4853, 5434, 269, 2060, 2810, 2825, 5533, 267, 513, 6757, 4496, 4598, 4879, 1353, 568, 2556, 269, 24768, 2609, 616, 711, 8311, 1242, 693, 782, 269, 2368, 8407, 9048, 951, 4601, 616, 3808, 547, 1560, 8031, 267, 552, 3052, 1421, 1291, 547, 5642, 610, 20017, 26606, 547, 14401, 269, 901, 2689, 10311, 519, 1344, 593, 4163, 27492, 540, 6757, 6878, 689, 3049, 547, 1426, 540, 3662, 5169, 630, 1889, 520, 267, 8219, 267, 5144, 543, 5798, 1040, 634, 1852, 540, 2825, 17694, 602, 949, 2014, 22016, 538, 1426, 540, 3662, 5169, 568, 3006, 3833, 2352, 543, 7199, 543, 568, 9619, 609, 2027, 3007, 538, 713, 2689, 269, 0, 11947, 3427, 630, 280, 268, 1321, 264, 11314, 25873, 454, 24342, 476, 8618, 910, 476, 3199, 540, 476, 279, 1321, 13292, 454, 22860, 4506, 519, 21303, 23520, 821, 670, 1961 ]

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

[ 1044, 5340, 2687, 547, 513, 13006, 4341, 1922, 12089, 5690, 267, 676, 8499, 17265, 543, 18176, 3184, 676, 3184, 519, 2487, 12326, 585, 741, 3621, 14496, 630, 23682, 5112, 1377, 540, 2963, 630, 299, 334, 292, 264, 476, 543, 4791, 10083, 630, 8980, 302, 3446, 540, 16252, 1496, 16165, 22049, 7305, 476, 272, 1040, 1284, 1459, 519, 476, 1001, 280, 9337, 282, 519, 2407, 4528, 540, 519, 8242, 13472, 1305, 568, 2139, 2228, 607, 513, 7300, 3758, 538, 1312, 2296, 543, 4436, 4586, 302, 6877, 585, 12729, 10644, 281, 10988, 760, 958, 3525, 16666, 27999, 11790, 454, 5715, 328, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 306, 550, 514, 601, 19219, 4437, 641, 1910, 257, 607, 851, 540, 834, 25503, 1315, 2201, 19223, 1315, 23213, 9435, 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, 1262, 16215, 476, 277, 281, 10289, 29042, 16387, 543, 519, 5295, 540, 25609, 4373, 5970, 596, 2479, 6743, 693, 513, 6777, 4148, 820, 5702, 543, 14952, 539, 693, 922, 6946, 543, 27101, 4806, 286, 2107, 6148, 596, 4312, 2938, 4190, 19821, 923, 538, 513, 9754, 543, 9289, 875, 1142, 6263, 4062, 13352, 1927, 9985, 547, 1711, 513, 10875, 3239, 269, 1452, 616, 1175, 1079, 1806, 540, 10723, 9511, 910, 519, 1353, 540, 5546, 543, 3270, 1336, 538, 2470, 267, 1148, 267, 543, 5289, 2853, 780, 1262, 1432, 568, 29042, 16387, 15140, 306, 659, 1042, 9511, 568, 782, 1472, 721, 267, 1256, 952, 649, 1810, 1405, 2141, 5469, 621, 269, 898, 781, 519, 2856, 602, 1978, 5546, 543, 3270, 3180, 3532, 10096, 543, 666, 948, 721, 1921, 609, 1945, 4514, 1369, 6000, 543, 519, 1158, 1472, 721, 269, 1280, 1383, 267, 519, 5858, 4564, 9322, 267, 627, 565, 8864, 267, 543, 20581, 1317, 621, 814, 1100, 4098, 610, 1439, 269, 1656, 519, 4009, 23327, 6617, 543, 3666, 2094, 621, 814, 2185, 3160, 5011, 780, 3719, 972, 781, 835, 3337, 538, 1880, 602, 6585, 513, 2027, 1747, 538, 10723, 9511, 281, 519, 6079, 540, 1272, 780, 1262, 8139, 519, 23268, 540, 5020, 4373, 763, 6079, 540, 1272, 568, 1500, 909, 540, 5722, 20718, 10580, 11231, 538, 513, 1808, 1259, 630, 5408, 4137, 2630, 1040, 901, 2241, 2943, 17715, 1374, 3568, 1082, 1271, 12166, 3347, 543, 814, 1044, 1031, 538, 1585, 4529, 2429, 1686, 547, 2099, 5137, 267, 2208, 267, 543, 10103, 780, 314, 11900, 1068, 12005, 281, 23268, 540, 5020, 6516, 6540, 4131, 781, 2736, 1524, 519, 1114, 3334, 540, 519, 6079, 540, 1272, 1384, 272, 269, 4741, 17781, 281, 901, 568, 519, 4358, 1448, 267, 8204, 519, 2707, 610, 5169, 540, 782, 1919, 563, 273, 269, 14520, 19449, 3380, 15907, 519, 4741, 281, 1452, 3670, 10580, 3295, 519, 4099, 5858, 899, 24968, 593, 513, 8768, 267, 29544, 2208, 543, 7269, 563, 274, 269, 28249, 18745, 281, 7316, 519, 10580, 12969, 267, 1007, 5546, 10836, 267, 971, 607, 12730, 543, 15279, 30368, 269, 1452, 2798, 9414, 4296, 1063, 9583, 5094, 9988, 267, 22348, 721, 602, 3388, 568, 10562, 563, 275, 269, 18599, 19449, 3380, 11192, 281, 634, 1297, 5722, 568, 2808, 10723, 538, 1082, 5389, 267, 1129, 4328, 1264, 28467, 610, 19870, 780, 3528, 4974, 519, 6079, 540, 1272, 543, 824, 10723, 22762, 1845, 267, 649, 666, 2744, 4030, 827, 6000, 267, 938, 3347, 267, 543, 519, 7122, 780, 1262, 8002, 8481, 281, 24531, 29042, 16387, 538, 28064, 5020, 4373, 3086, 602, 596, 1174, 519, 9238, 540, 10723, 9511, 267, 1577, 781, 2263, 875, 621, 2982, 909, 538, 4948, 3615, 543, 2833, 1384, 265, 2878, 9209, 5741, 5093, 8571, 707, 1378, 4528, 540, 519, 6079, 540, 1272, 1210, 735, 13293, 543, 513, 14610, 269, 3973, 267, 2681, 621, 538, 609, 6505, 4778, 547, 3142, 856, 922, 5898, 269, 1411, 1223, 849, 2119, 2870, 824, 10723, 22762, 1845, 267, 899, 3303, 1023, 610, 5762, 1023, 563, 265, 2878, 26903, 12532, 5093, 6875, 513, 3802, 3544, 543, 1413, 585, 4191, 540, 10723, 9511, 538, 2470, 269, 2052, 596, 1265, 1022, 10580, 267, 21384, 267, 610, 15279, 21192, 3270, 286, 9320, 596, 3513, 5544, 513, 17178, 19986, 267, 9932, 18474, 267, 610, 546, 24387, 602, 9727, 891, 3741, 563, 265, 2878, 300, 663, 531, 553, 5093, 8073, 707, 1378, 8260, 8403, 676, 5373, 610, 7206, 3492, 878, 10580, 4904, 609, 18110, 3270, 269, 13495, 531, 553, 616, 1419, 1031, 538, 9066, 543, 11755, 267, 4543, 1004, 1445, 741, 4555, 543, 19367, 269, 1306, 596, 960, 593, 707, 8260, 8403, 267, 1589, 827, 1018, 6698, 610, 4778, 13469, 609, 596, 543, 1946, 780, 8855, 267, 10723, 9511, 3884, 1405, 1175, 827, 1620, 1950, 5546, 282, 621, 781, 849, 827, 9301, 519, 7915, 1931, 543, 10103, 538, 938, 1158, 269, 1635, 3695, 891, 2035, 267, 649, 666, 15052, 938, 7071, 585, 519, 5898, 543, 25872, 540, 782, 1919, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 2026, 322, 2105, 23168, 1108, 5983, 4751, 585, 1312, 5437, 1299, 5412, 476, 1708, 274, 454, 10843, 9457, 15248, 918, 4275, 681, 12711, 454, 2026, 322, 2105, 23168, 1108, 267, 998, 519, 29042, 25627, 540, 1651, 28271, 267, 26779, 20231, 540, 519, 2609, 269, 634, 23191, 4999, 540, 29042, 16387, 609, 606, 3504, 1106, 540, 1488, 603, 2006, 1097, 267, 630, 320, 1062, 602, 3651, 338, 10230, 2418, 547, 5022, 1070, 10741, 519, 24891, 540, 519, 1306, 322, 3290, 19089, 998, 3504, 12596, 269, 634, 4090, 1141, 596, 3314, 707, 268, 1345, 607, 513, 21001, 2193, 538, 11059, 269, 634, 6857, 4276, 609, 519, 4521, 540, 2382, 656, 10389, 2494, 28685, 566, 21528, 519, 9997, 883, 2407, 9457, 344, 3465, 775, 538, 713, 1106, 540, 18688, 532, 563, 21776, 476, 1708, 274, 815, 476, 276, 11788, 1341, 5606, 9548, 454, 763, 661, 4156, 5020, 1995, 454, 763, 10046, 532, 15328, 21573, 20217, 6796, 883, 4813, 454, 310, 22736, 938, 1101, 7104, 3268, 607, 513, 9241, 19618, 4090, 1369, 713, 1761, 640, 2676, 1492, 4628, 538, 1532, 617, 1221, 543, 1325, 17057, 1227, 3690, 11526, 631, 3008, 9898, 568, 3117, 19290, 24111, 2336, 1607, 1360, 2027, 5437, 267, 519, 12866, 32514, 919, 20231, 1648, 543, 3871, 602, 723, 1044, 6456, 269, 634, 1121, 27320, 602, 1247, 789, 12103, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 645, 7495, 312, 267, 631, 18853, 1299, 9501, 7644, 3951, 1315, 29042, 16387, 1315, 23268, 540, 5020, 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, 4495, 2390, 513, 942, 267, 972, 941, 1079, 2828, 3957, 5981, 543, 16092, 945, 1185, 1360, 1114, 5784, 827, 1141, 789, 3893, 741, 3377, 689, 269, 5981, 729, 606, 28048, 7082, 540, 2228, 2923, 2959, 1247, 16092, 9053, 2757, 14786, 543, 7641, 3377, 269, 1358, 1131, 2141, 7521, 827, 799, 2707, 3177, 1732, 543, 811, 4977, 1344, 780, 3080, 1554, 267, 1282, 12899, 5503, 693, 960, 267, 513, 2101, 13091, 13351, 513, 2197, 28870, 1472, 519, 1158, 269, 1306, 4166, 607, 519, 3377, 13264, 267, 3025, 15504, 856, 741, 11436, 547, 2638, 952, 741, 6068, 3283, 941, 2922, 269, 5981, 3533, 29429, 5196, 1010, 5172, 3377, 3896, 543, 4718, 10311, 26311, 538, 1169, 1906, 7643, 269, 1261, 7948, 1405, 948, 855, 1745, 1159, 1872, 6616, 646, 4862, 827, 621, 1354, 4896, 3116, 1705, 780, 19602, 267, 16092, 3576, 1200, 942, 547, 1224, 519, 11356, 1352, 4547, 2059, 609, 1200, 269, 2701, 1336, 606, 2376, 2854, 676, 513, 25982, 19784, 945, 26906, 4966, 543, 5795, 513, 3102, 7650, 540, 1018, 3361, 519, 844, 820, 267, 922, 1764, 593, 7404, 2950, 267, 543, 8323, 3646, 25093, 780, 4263, 519, 5604, 5870, 2663, 602, 12784, 267, 5981, 3838, 1018, 646, 4121, 689, 2542, 1585, 4930, 2228, 267, 10223, 875, 3728, 646, 4607, 519, 3377, 269, 1717, 267, 950, 4280, 1246, 5346, 2055, 267, 646, 17388, 547, 1683, 2143, 4267, 3564, 24657, 543, 3280, 321, 2572, 269, 2201, 519, 824, 1688, 267, 16092, 18390, 12943, 782, 14511, 1759, 593, 1200, 9488, 1620, 540, 519, 1888, 6591, 689, 1200, 5402, 26940, 2959, 780, 19808, 5962, 676, 16092, 781, 1702, 267, 930, 9164, 4956, 547, 2285, 2757, 2923, 2959, 513, 2119, 269, 3683, 942, 267, 1082, 7691, 602, 891, 2959, 6035, 4514, 4030, 883, 2518, 2152, 3379, 547, 4945, 321, 7159, 10643, 610, 21603, 8989, 4122, 2938, 2228, 269, 5047, 267, 13461, 9003, 593, 2228, 3377, 1500, 873, 12155, 547, 25749, 3262, 998, 16995, 3377, 4609, 610, 796, 591, 1881, 32422, 593, 1514, 2923, 780, 1607, 1995, 6026, 3025, 513, 3407, 3992, 827, 519, 9342, 543, 12755, 540, 1312, 2010, 540, 2923, 2959, 269, 6732, 2923, 4597, 539, 538, 12419, 2656, 10311, 267, 1818, 621, 4998, 585, 7525, 25887, 610, 2661, 2680, 3795, 269, 11531, 267, 2757, 2923, 695, 1441, 538, 5356, 13857, 5380, 20483, 676, 11826, 4760, 2065, 4441, 267, 3850, 3988, 547, 1118, 5483, 8753, 827, 1950, 6927, 780, 1103, 3932, 267, 3079, 540, 8486, 1154, 835, 1996, 1776, 267, 1004, 1223, 4324, 689, 9001, 1312, 5686, 540, 2923, 2959, 4470, 593, 741, 2115, 269, 27919, 5129, 513, 2629, 1909, 1934, 1932, 1107, 9301, 602, 1866, 949, 4782, 4244, 2409, 3366, 547, 16268, 19929, 1851, 32283, 619, 2864, 982, 14962, 633, 7440, 269, 1635, 8026, 5683, 4616, 6208, 971, 607, 1249, 19295, 9535, 543, 5275, 2789, 16752, 267, 2043, 2968, 3743, 4961, 1134, 25668, 5792, 547, 6330, 938, 10562, 1158, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 22081, 1281, 519, 3795, 540, 3486, 3377, 8428, 1063, 2228, 543, 2757, 2923, 2959, 888, 296, 798, 711, 723, 2123, 8369, 269, 2705, 267, 1775, 666, 1459, 519, 1739, 2489, 7422, 3823, 519, 3795, 540, 3486, 3377, 1063, 2228, 543, 2757, 2923, 2959, 1384, 272, 269, 3432, 543, 4626, 17165, 281, 2228, 2923, 2959, 666, 5838, 8840, 3377, 3592, 14678, 267, 1419, 5488, 982, 2757, 2923, 2959, 269, 585, 1383, 267, 3377, 7270, 543, 1514, 2923, 5867, 666, 9337, 3377, 2984, 538, 1483, 942, 267, 799, 1797, 2228, 2923, 2959, 666, 1419, 1867, 593, 2621, 1101, 269, 2757, 2923, 2959, 267, 593, 519, 824, 1688, 267, 1522, 1491, 3476, 547, 1867, 1813, 547, 741, 21107, 1184, 267, 8228, 610, 31076, 16131, 780, 273, 269, 3178, 543, 2079, 281, 2757, 2923, 2959, 4043, 547, 2709, 811, 538, 3829, 543, 10763, 3795, 540, 3377, 2621, 269, 2757, 2923, 19093, 616, 1419, 5234, 539, 676, 3318, 20859, 945, 1382, 267, 8495, 267, 543, 1867, 593, 2621, 267, 3246, 2796, 543, 2079, 540, 2621, 269, 593, 331, 10640, 25147, 3197, 609, 3982, 14789, 269, 634, 1650, 1058, 11200, 998, 741, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 267, 10771, 519, 2956, 540, 6568, 267, 7881, 267, 543, 1966, 9010, 563, 763, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 269, 0, 8702, 547, 519, 1158, 540, 5904, 543, 875, 789, 948, 721, 4194, 2042, 256, 4653, 267, 649, 2811, 2469, 547, 1451, 827, 1945, 1572, 1412, 25413, 2264, 4886, 1299, 7177, 10086, 1141, 1004, 1711, 2780, 3292, 602, 948, 721, 798, 782, 12204, 540, 1919, 811, 3362, 269, 1284, 786, 849, 2263, 1079, 1271, 2035, 1369, 713, 2361, 910, 5741, 5004, 543, 8668, 6796, 5004, 630, 3951, 15551, 1040, 2913, 781, 4685, 1318, 538, 2439, 5331, 596, 723, 513, 2462, 2856, 585, 513, 1007, 5985 ]

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

[ 1739, 519, 2757, 4881, 3652, 267, 2705, 267, 972, 616, 513, 1906, 1883, 2188, 602, 666, 1118, 621, 2009, 269, 634, 9058, 2680, 540, 23011, 645, 2335, 3563, 8840, 519, 2185, 18826, 11064, 538, 476, 4198, 275, 4951, 602, 609, 519, 1318, 4480, 543, 4998, 2175, 267, 513, 1480, 666, 8197, 2196, 513, 1016, 31644, 18826, 13304, 269, 2755, 713, 568, 606, 6909, 9028, 267, 621, 568, 1869, 711, 513, 10018, 602, 3025, 666, 798, 621, 269, 17859, 267, 519, 7415, 1650, 540, 23011, 645, 2335, 3563, 786, 11014, 581, 15422, 543, 786, 3136, 547, 8300, 1082, 9845, 2066, 519, 1158, 563, 4692, 2974, 664, 12157, 339, 2196, 513, 13304, 513, 8792, 888, 1432, 568, 513, 3728, 1164, 1153, 13304, 888, 1103, 1034, 2694, 540, 519, 772, 2529, 1421, 1164, 1153, 8695, 945, 666, 2196, 513, 1016, 268, 275, 281, 876, 13304, 666, 581, 1360, 8013, 593, 519, 1164, 1153, 3950, 543, 3444, 2197, 6887, 630, 1492, 1034, 16918, 666, 2196, 606, 896, 268, 274, 281, 2568, 13304, 1040, 634, 1482, 568, 3020, 585, 1164, 1153, 6690, 945, 666, 2196, 513, 1016, 268, 276, 281, 876, 13304, 630, 1492, 16595, 2053, 616, 2630, 476, 275, 281, 2412, 1040, 0, 31871, 540, 2371, 1336, 281, 476, 1724, 1475, 7093, 341, 1475, 7883, 547, 2985, 10573, 272, 1475, 273, 2008, 21595, 332, 6438, 3529, 269, 2368, 2818, 540, 713, 1804, 12593, 540, 936, 476, 7785, 2249, 1332, 3552, 2059, 519, 694, 1662, 2803, 540, 519, 9341, 7414, 543, 666, 1831, 1507, 4054, 267, 1247, 824, 267, 695, 745, 6277, 1512, 2249, 22937, 2933, 547, 4677, 8916, 269, 634, 2442, 2012, 24283, 689, 519, 1249, 602, 519, 1279, 267, 533, 4459, 569, 3762, 10836, 538, 513, 17684, 6438, 11460, 269, 12344, 519, 1034, 16560, 2249, 568, 623, 269, 5070, 29800, 267, 609, 3039, 543, 5835, 4174, 6244, 3762, 269, 28161, 3833, 1804, 267, 476, 277, 547, 476, 279, 15432, 538, 4463, 267, 543, 865, 1590, 581, 5402, 521, 1243, 538, 513, 4677, 269, 17455, 29104, 568, 513, 1360, 22537, 2030, 267, 1498, 621, 27422, 3905, 267, 3819, 2175, 269, 634, 15864, 1505, 540, 18640, 568, 676, 27191, 267, 799, 3597, 11593, 950, 5116, 2047, 538, 519, 3037, 269, 634, 3762, 540, 891, 4054, 616, 6394, 676, 16971, 2021, 543, 616, 1031, 585, 22805, 7802, 1570, 269, 667, 13433, 666, 581, 6394, 856, 540, 519, 5072, 543, 1031, 585, 4224, 1148, 7206, 269, 4746, 267, 519, 2030, 568, 1031, 585, 8156, 6553, 676, 28277, 519, 3762, 1472, 519, 22224, 5544, 267, 547, 1711, 606, 4550, 13611, 1198, 563, 288, 1804, 2249, 689, 28801, 602, 7472, 513, 7347, 267, 588, 2830, 268, 549, 6838, 17657, 543, 513, 5394, 267, 29822, 3303, 16226, 13862, 540, 7646, 569, 838, 4176, 267, 1769, 3039, 610, 3006, 5594, 4544, 25984, 3762, 609, 1360, 10694, 2699, 19114, 269, 7454, 14018, 547, 519, 21050, 923, 543, 3636, 5705, 1886, 923, 267, 623, 269, 3351, 529, 568, 5310, 519, 1034, 2442, 17684, 12566, 538, 14713, 269, 901, 3529, 6499, 2407, 3141, 267, 568, 711, 535, 1380, 344, 585, 3037, 1543, 543, 568, 711, 6070, 27031, 269, 674, 23459, 6500, 568, 3622, 711, 2556, 269, 2558, 21148, 513, 17684, 12566, 568, 16602, 1317, 8371, 1810, 1405, 723, 26862, 19512, 269, 1403, 596, 2759, 519, 12363, 3395, 1858, 267, 519, 7936, 786, 711, 1332, 15042, 267, 621, 786, 3251, 513, 513, 588, 2794, 269, 1280, 713, 2601, 267, 2759, 519, 8371, 596, 991, 547, 2759, 1141, 789, 786, 581, 519, 2547, 18476, 563, 303, 663, 29104, 1654, 3558, 4512, 568, 513, 1507, 21906, 602, 9428, 1063, 476, 273, 543, 476, 276, 3952, 7381, 269, 898, 666, 20496, 2407, 3141, 547, 1769, 12094, 1247, 3395, 267, 855, 568, 1655, 5116, 538, 10859, 6879, 1228, 610, 513, 6505, 4087, 16280, 269, 898, 3340, 9793, 1216, 543, 568, 5078, 585, 3395, 538, 22340, 7233, 10434, 1465, 2098, 2158, 476, 280, 268, 1556, 269, 901, 2030, 568, 1034, 25343, 585, 922, 25798, 16714, 910, 519, 3762, 616, 1279, 543, 28795, 267, 543, 723, 513, 2189, 13869, 6438, 5920, 563, 2691, 3395, 17455, 29104, 1654, 3558, 4512, 538, 513, 1494, 267, 621, 568, 1271, 547, 3442, 513, 8708, 609, 7899, 540, 12775, 9475, 269, 19130, 621, 609, 606, 2011, 344, 267, 1134, 1673, 20995, 29238, 3575, 543, 1216, 621, 5781, 865, 602, 519, 1283, 1079, 6279, 540, 3037, 3251, 5594, 5848, 269, 769, 21617, 16374, 267, 621, 568, 1655, 547, 1832, 713, 2030, 16280, 607, 621, 3884, 1405, 15470, 27031, 269, 3629, 707, 17455, 29104, 1654, 3558, 4512, 609, 7899, 540, 1769, 543, 5210, 540, 1063, 476, 4792, 268, 5952, 13790, 269, 5901, 519, 11195, 1164, 547, 2327, 519, 1655, 2009, 2208, 563, 4415, 922, 10875, 28033, 16714, 267, 17455, 29104, 1654, 3558, 4512, 2306, 513, 1390, 25798, 2030, 585, 5321, 267, 13646, 543, 10651, 269, 4706, 2702, 547, 8853, 16280, 543, 856, 2306, 621, 513, 1390, 3903, 952, 596, 2811, 3168, 585, 513, 2030, 547, 1039, 513, 5905, 540, 519, 21050, 923, 547, 707, 1604, 269, 0, 534, 4519, 6701, 930, 2052, 828, 571, 1016, 31755, 6632, 614, 982, 1866, 286, 14175, 6420, 1239, 3081, 9811, 267, 855, 2257, 3081, 1100, 3528, 4460, 639, 28553, 8583, 454, 5278, 2052, 828, 4920, 31274, 602, 741, 1016, 7875, 4991, 811, 4764, 982, 824, 2694, 540, 519, 2749, 563, 8448, 7264, 2161, 789, 2760, 3100, 547, 2941, 519, 3389, 5006, 8813, 563, 763, 13163, 540, 25561, 1108, 25173, 1239, 693, 1082, 4609, 2066, 519, 20554, 2443, 865, 596, 9364, 8263, 621, 1131, 581, 2653, 547, 960, 856, 799, 2694, 616, 519, 6632, 11687, 563, 21953, 1247, 519, 1239, 2982, 5693, 1141, 4764, 814, 15468, 267, 519, 2257, 540, 14368, 1108, 3081, 267, 538, 1198, 267, 1810, 1405, 581, 18174, 539, 676, 519, 2338, 563, 2171, 3513, 2119, 547, 10002, 1157, 602, 14196, 855, 267, 1101, 267, 1577, 781, 1413, 693, 519, 1239, 563, 763, 7178, 729, 6632, 614, 2560, 649, 1589, 454, 2171, 8947, 811, 982, 476, 3583, 1296, 540, 11811, 1239, 2066, 476, 736, 4609, 538, 543, 1472, 2052, 828, 571, 563, 19013, 267, 4365, 5638, 616, 2484, 689, 3501, 269, 634, 1152, 5812, 10070, 941, 693, 519, 2052, 828, 571, 23076, 543, 519, 6581, 534, 2041, 12505, 6367, 1782, 8630, 563, 3383, 585, 519, 824, 476, 1240, 4609, 267, 649, 4280, 281, 593, 519, 2395, 4764, 729, 6592, 267, 1705, 519, 3135, 1205, 811, 610, 1447, 982, 519, 19633, 888, 763, 2164, 267, 25528, 1934, 267, 2408, 547, 1397, 930, 6237, 3604, 563, 1607, 2250, 1239, 5267, 602, 267, 4470, 593, 1141, 596, 2661, 538, 519, 20554, 267, 519, 3328, 11811, 9775, 676, 607, 1454, 607, 476, 6977, 1984, 22015, 637, 513, 1032, 563, 310, 3480, 2127, 540, 2052, 828, 571, 2443, 1589, 4639, 517, 15880, 543, 20703, 784, 5979, 2443, 3100, 6632, 614, 982, 1346, 538, 519, 7532, 267, 1759, 593, 891, 7422, 563, 3719, 1354, 596, 2699, 30472, 707, 4677, 267, 581, 2264, 281, 519, 1239, 949, 581, 1360, 22801, 563, 305, 664, 1949, 616, 8273, 982, 2370, 2052, 828, 571, 454, 763, 8241, 2817, 2160, 781, 3967, 8291, 14811, 525, 599, 267, 513, 7548, 540, 2916, 2257, 693, 519, 674, 523, 1676, 3427, 540, 5113, 543, 5980, 267, 6941, 519, 1966, 3274, 563, 763, 4336, 593, 799, 4764, 568, 3812, 568, 2462, 2443, 1454, 8273, 982, 2052, 828, 571, 267, 1577, 4805, 519, 1016, 31755, 1369, 621, 563, 10214, 513, 2370, 15921, 592, 748, 6531, 267, 799, 5932, 1152, 513, 2110, 24331, 267, 2199, 17643, 267, 568, 513, 676, 1790, 6055, 540, 7509, 267, 2011, 2604, 543, 2837, 15025, 593, 513, 1454, 3677, 4336, 563, 1607, 568, 1946, 3810, 2199, 2213, 4365, 23004, 616, 1419, 25619, 563, 15239, 11383, 267, 2199, 2188, 2443, 1919, 899, 10239, 2443, 666, 1860, 11811, 267, 7905, 14811, 525, 599, 3081, 563, 763, 682, 525, 728, 540, 930, 1804, 9832, 666, 581, 13104, 539, 689, 4764, 267, 1247, 519, 2842, 1189, 20933, 2941, 338, 621, 563, 23178, 14811, 525, 599, 3081, 3213, 5448, 267, 1175, 936, 476, 1911, 21240, 5045, 540, 2052, 828, 571, 267, 568, 513, 1434, 1383, 281, 519, 16176, 344, 15142, 547, 922, 7178, 2709, 930, 3382, 563, 4913, 267, 2360, 899, 713, 2356, 2291, 1152, 1141, 519, 4764, 2501, 834, 854, 3982, 569, 689, 835, 4287, 8487, 257, 7197, 540, 519, 11811, 26148, 4365, 1949, 602, 5734, 602, 1858, 723, 513, 530, 6856, 569, 2842, 5057, 2437, 1352, 3081, 563, 257, 3383, 972, 568, 513, 1360, 2312, 4764, 6879, 20760, 1198, 538, 602, 851, 540, 519, 3933, 16619, 30577, 4799, 4692, 828, 571, 267, 593, 519, 824, 1688, 267, 568, 1454, 1447, 22150, 982, 3213, 5448, 563, 763, 12798, 543, 2604, 512, 893, 338, 602, 4163, 543, 1711, 7509, 2097, 547, 519, 20554, 689, 1114, 8846, 563, 10190, 972, 568, 519, 2339, 540, 2052, 828, 571, 781, 10239, 2443, 971, 607, 6778, 13177, 543, 4563, 13738, 2443, 610, 1058, 649, 2161, 15113, 563, 257, 2791, 2811, 711, 2469, 547, 1294, 513, 4764, 6879, 20760, 1198, 267, 6862, 513, 11811, 10276, 327, 2331, 1198, 593, 519, 2842, 1189, 2427, 267, 1317, 789, 616, 3274, 711, 2462, 2614, 2437, 7905, 14811, 525, 599, 3081, 563, 763, 5696, 785, 629, 749, 553, 267, 593, 519, 824, 1688, 267, 616, 2462, 2614, 547, 1219, 937, 7509, 2000, 23565, 5045, 2914, 6856, 15533, 20733, 607, 519, 12798, 1935, 2052, 828, 571, 563, 3719, 602, 3085, 1405, 1611, 519, 4764, 1236, 2354, 936, 519, 20703, 784, 5979, 9503, 543, 3338, 538, 519, 6418, 5087, 269, 11088, 267, 621, 2501, 1524, 547, 4336, 563, 257, 5472, 602, 1219, 21124, 7509, 11148, 547, 31083, 2393, 267, 1419, 9991, 7366, 540, 21240, 2476, 267, 711, 538, 519, 1985, 1016, 7875, 2437, 7905, 14811, 525, 599, 3081, 563, 19859, 743, 23660, 2291, 538, 2052, 828, 571, 267, 855, 789, 2811, 827, 3002, 711, 4764, 454, 3383, 666, 649, 4341, 856, 30753, 22836, 540, 2362, 543, 2539, 11811, 538, 2052, 828, 571, 267, 5103, 519, 1239, 11021, 6382, 888, 19285, 9327, 1405, 1289, 621, 606, 4683, 7242, 543, 14962, 621, 7357, 2437, 7905, 14811, 525, 599, 3081, 563, 257, 3719, 593, 519, 4336, 649, 2811, 6158, 827, 267, 596, 4465, 1405, 1294, 2890, 30873, 2360, 593, 13247, 563, 19285, 1589, 649, 2811, 7487, 10859, 268, 12690, 267, 8901, 8390, 2560, 543, 711, 2614, 1239, 4799, 15239, 11383, 267, 972, 616, 2462, 20296, 3604, 1063, 2052, 828, 571, 781, 1016, 31755, 563, 1103, 476, 1001, 278, 267, 513, 595, 10485, 4629, 1353, 540, 2627, 3002, 4951, 875, 4922, 5210, 9867, 2066, 519, 2749, 563, 4002, 513, 3905, 4832, 6640, 267, 4683, 2127, 9867, 676, 607, 1454, 607, 476, 2420, 5232, 22966, 857, 639, 267, 1247, 28180, 2127, 28209, 676, 909, 547, 476, 1015, 290, 563, 2005, 6140, 3357, 1524, 547, 3529, 3382, 543, 519, 2010, 540, 2679, 2326, 1031, 538, 519, 1858, 269, 12878, 2082, 6418, 1016, 31755, 609, 1082, 28301, 4054, 941, 16830, 982, 21364, 2127, 609, 552, 30695, 4054, 267, 543, 1454, 16830, 982, 18960, 1016, 31755, 609, 1100, 9921, 4054, 563, 23178, 14811, 525, 599, 3081, 1216, 849, 2488, 513, 9023, 1198, 563, 257, 15371, 621, 781, 513, 10720, 610, 513, 32446, 7404, 267, 621, 786, 2539, 519, 2011, 2837, 2437, 1352, 3081, 563, 257, 10303, 267, 607, 519, 1216, 18493, 919, 267, 930, 540, 519, 1648, 602, 1131, 6382, 581, 5433, 607, 24534, 3002, 538, 519, 2011, 786, 581, 6740, 607, 24353, 3002, 538, 519, 1216, 32350, 4799, 3383, 649, 949, 711, 581, 2111, 547, 3142, 4764, 547, 938, 1016, 7875, 267, 855, 649, 666, 948, 3579, 621, 1524, 269, 1284, 1175, 991, 2614, 1216, 547, 1832, 519, 4054, 9800, 269, 0, 25582, 476, 272, 281, 25043, 540, 7216, 17402, 1107, 12474, 5623, 454, 14630, 540, 4427, 3939, 912, 25582, 476, 272, 281, 25043, 540, 7216, 17402, 1107, 12474, 5623, 454, 272, 269, 5994, 596, 616, 513, 9251, 8689, 5870, 609, 513, 2385, 945, 568, 6236, 679, 13764, 1200, 476, 275, 4458, 6040, 538, 707, 1982, 269, 2701, 12134, 875, 596, 786, 948, 1200, 1126, 1451, 547, 1224, 543, 6257, 960, 9248, 585, 4484, 543, 3280, 2259, 602, 1352, 1207, 903, 585, 1200, 1126, 547, 946, 693, 1753, 269, 3503, 707, 3210, 267, 1519, 2035, 602, 616, 1271, 585, 713, 2385, 547, 1174, 827, 519, 5107, 540, 5711, 1893, 267, 2035, 540, 1820, 267, 13093, 2438, 4656, 267, 543, 9904, 1702, 538, 606 ]

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

[ 1143, 639, 31865, 681, 636, 648, 476, 1001, 277, 1916, 310, 565, 742, 779, 3409, 7282, 519, 9295, 540, 519, 7344, 1935, 547, 519, 3356, 540, 9443, 630, 310, 565, 742, 476, 14378, 271, 267, 476, 1240, 1700, 866, 264, 12607, 4680, 519, 2856, 602, 519, 1697, 7344, 7778, 540, 9259, 3085, 1406, 4734, 2230, 585, 2417, 3123, 543, 9988, 267, 899, 519, 3283, 5189, 538, 519, 3026, 6955, 520, 4577, 2245, 610, 1256, 538, 13053, 1014, 2257, 269, 4634, 519, 7706, 540, 519, 1272, 9443, 267, 3662, 543, 1480, 267, 3217, 5383, 689, 519, 7344, 1935, 267, 865, 602, 26728, 742, 3085, 1406, 19292, 547, 1489, 519, 1775, 520, 4435, 2559, 626, 26179, 32129, 10458, 630, 14917, 271, 1700, 14690, 273, 264, 538, 1010, 6560, 1996, 519, 4105, 2065, 2093, 540, 9677, 21321, 560, 853, 22844, 630, 13679, 280, 1700, 15876, 275, 1916, 5629, 519, 30424, 1063, 7271, 543, 1570, 1143, 814, 1044, 25323, 267, 7271, 666, 581, 7550, 607, 513, 3811, 1259, 547, 2491, 519, 5169, 543, 8647, 540, 2067, 9259, 538, 513, 1158, 1141, 2339, 568, 21739, 12809, 543, 12199, 676, 519, 4031, 540, 3350, 269, 634, 7344, 1011, 1709, 799, 7575, 689, 519, 968, 338, 11211, 2601, 892, 540, 1142, 1689, 538, 519, 1158, 1107, 602, 568, 689, 519, 3608, 2014, 540, 519, 14842, 543, 711, 689, 922, 16957, 3803, 2014, 1107, 9060, 922, 17837, 1851, 519, 18793, 540, 513, 4105, 2065, 10066, 538, 1272, 9443, 267, 945, 4769, 1406, 1152, 7947, 519, 2856, 540, 513, 17033, 12809, 2339, 855, 941, 1134, 26356, 547, 1459, 513, 7658, 1670, 7778, 540, 519, 2324, 540, 7103, 269, 634, 3134, 559, 4084, 540, 519, 3811, 30566, 344, 540, 7271, 538, 2067, 2257, 543, 540, 519, 8942, 547, 15260, 612, 922, 19815, 2438, 14496, 1256, 538, 519, 2361, 540, 1272, 9443, 8452, 538, 476, 9692, 271, 609, 23006, 779, 3954, 10586, 540, 519, 1202, 340, 11797, 540, 513, 6986, 7344, 7778, 7282, 9259, 602, 3100, 547, 16637, 519, 7954, 540, 7344, 3123, 269, 23006, 779, 4583, 3948, 593, 519, 791, 1601, 2225, 540, 513, 968, 6124, 2023, 540, 519, 2349, 1228, 540, 23420, 892, 538, 1010, 7600, 1664, 540, 519, 5295, 540, 7225, 8540, 630, 31086, 476, 4037, 264, 4564, 519, 4436, 9295, 547, 519, 3954, 10586, 540, 519, 1202, 340, 11797, 540, 2964, 2065, 3137, 538, 519, 7706, 540, 561, 643, 902, 543, 693, 513, 942, 519, 14710, 540, 519, 7344, 2203, 540, 5214, 2470, 563, 268, 14863, 1372, 808, 293, 630, 10204, 272, 264, 19837, 1068, 26559, 9158, 3821, 632, 1975, 3626, 345, 1143, 334, 24970, 1975, 3626, 345, 600, 269, 670, 4150, 281, 7009, 1188, 601, 11386, 10104, 454, 268, 14863, 1372, 808, 293, 630, 14378, 278, 264, 634, 4513, 634, 11043, 2801, 632, 19473, 1143, 334, 1696, 22530, 819, 324, 269, 808, 6511, 281, 645, 1408, 322, 651, 11386, 10104, 454, 268, 674, 822, 732, 26152, 6682, 1842, 2086, 1512, 334, 631, 630, 1001, 275, 264, 5487, 11024, 383, 362, 928, 964, 3123, 2470, 331, 956, 269, 4223, 2946, 7434, 1143, 324, 1696, 14603, 1143, 324, 1750, 345, 2274, 30519, 714, 267, 26728, 742, 1696, 682, 2720, 10779, 320, 2231, 269, 667, 1460, 6953, 3726, 328, 11726, 1889, 13961, 11726, 2193, 476, 5379, 281, 14530, 1700, 16825, 11386, 10104, 454, 268, 700, 1052, 808, 630, 15094, 277, 264, 25429, 20133, 727, 267, 694, 340, 281, 2856, 2555, 339, 3821, 1062, 15384, 21042, 903, 545, 328, 16423, 1014, 328, 267, 524, 14241, 267, 2107, 26559, 632, 18682, 1304, 807, 590, 14373, 636, 1476, 18676, 3570, 267, 711, 529, 1714, 523, 8157, 529, 267, 4051, 320, 269, 7671, 31060, 281, 12928, 5255, 11386, 10104, 454, 268, 700, 879, 570, 299, 630, 14378, 278, 264, 25990, 525, 9158, 545, 2801, 632, 1546, 334, 267, 24634, 334, 1696, 4630, 710, 269, 1793, 11386, 10104, 454, 268, 2274, 30519, 714, 28047, 630, 15433, 279, 264, 661, 743, 1515, 322, 23579, 618, 964, 2352, 15530, 6446, 631, 976, 773, 584, 7345, 548, 513, 5538, 341, 2946, 525, 546, 753, 682, 30918, 11726, 1889, 562, 537, 557, 879, 632, 561, 685, 684, 542, 632, 561, 685, 877, 1696, 5918, 24767, 269, 2876, 334, 790, 964, 522, 12320, 571, 2471, 964, 5260, 1218, 5147, 267, 476, 31696, 1700, 31079, 269, 1621, 331, 269, 6037, 269, 19247, 540, 519, 7965, 799, 631, 269, 7345, 548, 1336, 609, 519, 1007, 1062, 540, 519, 9769, 540, 519, 9997, 543, 1560, 269, 769, 281, 26741, 5264, 19954, 267, 17012, 4242, 681, 630, 2644, 264, 2274, 30519, 714, 779, 2048, 2908, 1062, 685, 543, 2404, 4207, 5931, 269, 29366, 526, 517, 4964, 267, 10228, 476, 1220, 277, 267, 6032, 476, 8064, 1700, 10436, 11386, 10104, 454, 268, 2274, 30519, 714, 28047, 630, 10204, 276, 264, 6987, 11681, 5918, 667, 2109, 32666, 632, 631, 269, 7345, 548, 2376, 681, 528, 23581, 533, 269, 476, 28796, 280, 13483, 336, 269, 632, 561, 685, 292, 1288, 632, 561, 685, 534, 269, 476, 10204, 273, 513, 11355, 8544, 1121, 541, 13196, 269, 1621, 331, 269, 6037, 269, 1133, 335, 21242, 22227, 593, 7345, 548, 779, 8074, 700, 269, 769, 281, 26741, 5264, 19954, 267, 17012, 4242, 681, 630, 2644, 264, 2274, 30519, 714, 779, 2048, 2908, 1062, 685, 543, 2404, 4207, 5931, 269, 29366, 526, 517, 4964, 267, 10228, 476, 1220, 277, 267, 6032, 476, 9834, 1700, 13040, 11386, 10104, 454, 268, 2274, 30519, 714, 28047, 267, 22548, 651, 590, 630, 14378, 276, 264, 4856, 22046, 766, 2274, 30519, 714, 4211, 24882, 651, 630, 539, 281, 7605, 6839, 589, 1040, 29706, 293, 267, 8303, 476, 4198, 278, 11386, 10104, 454, 268, 700, 17690, 623, 630, 1001, 275, 264, 2274, 30519, 714, 779, 1984, 4661, 1996, 7344, 1570, 1143, 20460, 1243, 269, 8210, 2998, 476, 272, 11386, 10104, 454, 268, 2725, 1170, 1676, 22743, 630, 15876, 278, 264, 11096, 2684, 529, 2583, 22858, 6625, 513, 639, 4168, 26728, 742, 338, 521, 7564, 31198, 997, 1156, 632, 583, 2675, 1156, 5576, 17287, 1084, 269, 7345, 516, 3578, 281, 966, 1512, 1782, 11386, 10104, 454, 268, 715, 1807, 335, 623, 630, 6642, 272, 264, 2274, 30519, 714, 3768, 3541, 7698, 1143, 639, 630, 539, 281, 4591, 345, 30750, 670, 1040, 2289, 807, 682, 756, 27848, 10005, 476, 1704, 630, 2735, 276, 2567, 476, 274, 1700, 1691, 11386, 10104, 454, 268, 681, 636, 648, 623, 630, 1001, 280, 264, 9737, 1975, 3626, 345, 1143, 543, 1570, 1143, 281, 20435, 30686, 14863, 1372, 543, 519, 2038, 4436, 21481, 269, 5246, 643, 1470, 1019, 2083, 657, 1993, 807, 476, 9262, 281, 4375, 1700, 6321, 11386, 10104, 454, 268, 853, 657, 577, 674, 310, 630, 15433, 273, 320, 264, 19270, 867, 807, 32311, 529, 1696, 535, 728, 328, 269, 24545, 11386, 10104, 454, 268, 853, 657, 577, 674, 310, 630, 15433, 273, 321, 264, 25715, 632, 1918, 320, 269, 769, 281, 853, 657, 577, 476, 15433, 273, 267, 6032, 476, 21172, 1700, 18891, 11386, 10104, 454, 268, 9546, 577, 808, 294, 630, 15094, 277, 264, 11096, 2684, 529, 2583, 22858, 6625, 269, 808, 12171, 269, 717, 1194, 1080, 577, 267, 2274, 760, 345, 580, 11386, 10104, 454, 268, 26728, 742, 595, 630, 14378, 271, 264, 9210, 626, 3121, 11815, 15975, 807, 538, 844, 320, 966, 5028, 9158, 23706, 2964, 545, 2801, 711, 1470, 1011, 545, 656, 584, 269, 769, 281, 16740, 1421, 2725, 2280, 655, 1092, 14387, 334, 14428, 3342, 2684, 3821, 269, 670, 4150, 281, 681, 10152, 476, 11260, 276, 267, 590, 624, 1470, 8633, 267, 715, 269, 476, 273, 11386, 10104, 454, 268, 26728, 742, 595, 630, 14378, 280, 264, 31996, 6686, 333, 742, 339, 15607, 717, 539, 534, 1188, 523, 13153, 717, 2714, 267, 3541, 654, 3881, 3768, 3541, 6423, 548, 964, 631, 839, 7770, 267, 513, 1276, 782, 523, 667, 532, 523, 3331, 376, 828, 327, 879, 696, 1496, 284, 23389, 5450, 7469, 12695, 4940, 670, 4150, 281, 681, 10152, 11386, 10104, 454, 268, 26728, 742, 595, 630, 15094, 275, 264, 14216, 31546, 6686, 333, 742, 339, 3394, 717, 539, 534, 1188, 523, 13153, 717, 2714, 267, 3541, 654, 3881, 3768, 3541, 6423, 548, 964, 631, 839, 7770, 267, 513, 1276, 782, 523, 667, 532, 523, 3331, 376, 828, 327, 879, 696, 267, 1656, 19907, 634, 559, 267, 1655, 324, 9150, 538, 513, 639, 325, 6686, 15590, 997, 1156, 1323, 1067, 1188, 684, 2102, 1496, 284, 2304, 2254, 725, 547, 519, 4436, 5450, 7469, 12695, 4940, 7671, 31060, 281, 1656, 16699, 11386, 10104, 454, 268, 26728, 742, 595, 630, 15094, 277, 264, 589, 639, 325, 6686, 15590, 997, 515, 715, 778, 5341, 339, 13153, 694, 514, 523, 14802, 523, 5576, 337, 858, 1084, 269, 3057, 7921, 281, 1656, 16699, 11386, 10104, 454, 268, 26728, 742, 595, 630, 15876, 272, 264, 15328, 332, 860, 807, 2489, 529, 267, 1505, 334, 3621, 320, 14866, 847, 1092, 269, 2274, 760, 345, 580, 267, 7671, 31060, 11386, 10104, 454, 268, 2098, 539, 2401, 808, 295, 630, 15876, 280, 264, 24162, 525, 2019, 331, 560, 7564, 526, 580, 525, 17629, 6441, 1410, 6625, 782, 518, 654, 1170, 839, 577, 3530, 1084, 3768, 918, 6686, 333, 4614, 267, 2019, 2473, 21197, 267, 476, 272, 560, 1196, 333, 269, 670, 4150, 1700, 8867, 760, 345, 580, 267, 6032, 476, 15876, 273, 1700, 11260, 271, 11386, 10104, 0, 1607, 1808, 9768, 7160, 568, 4867, 711, 2139, 24707, 782, 12215, 540, 713, 9768, 7160, 912, 305, 663, 543, 14986, 674, 12661, 5025, 628, 1459, 2963, 602, 711, 1152, 1705, 606, 4359, 10340, 2899, 2291, 593, 519, 11782, 1631, 1634, 607, 19778, 267, 855, 602, 621, 729, 4440, 10032, 538, 513, 2518, 31685, 1472, 476, 31634, 271, 645, 5861, 269, 602, 17146, 519, 11782, 540, 7284, 656, 529, 547, 922, 1459, 2990, 538, 519, 818, 8157, 7297, 563, 763, 4589, 946, 8176, 670, 777, 16591, 781, 3069, 540, 3618, 12933, 12761, 547, 2491, 891, 679, 580, 5733, 281, 693, 1585, 5933, 538, 840, 20931, 519, 3618, 781, 12933, 17146, 13497, 267, 4929, 16767, 267, 23864, 6329, 267, 14042, 20296, 2242, 910, 9552, 602, 1223, 21933, 30185, 513, 10427, 10340, 269, 1635, 4974, 519, 3504, 7851, 267, 18573, 781, 10881, 607, 547, 519, 4087, 540, 7284, 656, 529, 267, 543, 10486, 1063, 14868, 689, 1472, 519, 1158, 267, 519, 674, 12661, 5025, 2195, 9959, 602, 513, 10340, 540, 10995, 13837, 31600, 1705, 2291, 930, 476, 1321, 267, 1822, 1296, 3516, 855, 729, 10032, 676, 513, 17027, 9568, 267, 6028, 1152, 513, 1906, 15000, 547, 16102, 922, 17691, 585, 16968, 640, 269, 634, 5916, 2963, 2798, 20310, 569, 693, 19778, 267, 1141, 267, 896, 513, 24120, 540, 791, 523, 25523, 1076, 4672, 267, 6013, 519, 4503, 2749, 540, 7284, 656, 529, 563, 257, 27675, 18462, 257, 949, 4866, 547, 1776, 7160, 540, 713, 2140, 563, 3198, 5746, 7728, 31253, 4306, 2207, 22494, 1315, 21832, 589, 12283, 454, 2108, 2304, 5140, 1433, 602, 568, 711, 1152, 18991, 21503, 855, 849, 5393, 19278, 547, 1224, 269, 634, 674, 12661, 5025, 2195, 685, 3069, 593, 7284, 656, 529, 786, 979, 1524, 538, 519, 3045, 1023, 540, 713, 1641, 607, 835, 540, 519, 1034, 20310, 543, 19511, 269, 4270, 2944, 585, 519, 1101, 11665, 4663, 632, 3196, 3034, 734, 27144, 645, 879, 1998, 267, 2278, 540, 4563, 19606, 543, 634, 2107, 542, 25491, 454, 1103, 713, 4625, 15428, 543, 9450, 7160, 540, 1879, 519, 21708, 26665, 267, 11969, 543, 14986, 674, 12661, 5025, 628, 1397, 602, 476, 1321, 267, 1822, 1296, 3516, 5318, 2127, 540, 19778, 941, 1863, 689, 4672, 543, 1753, 547, 519, 10806, 540, 7284, 656, 529, 267, 513, 20790, 602, 849, 12461, 14688, 31758, 519, 13655, 540, 4672, 6502, 543, 2527, 970, 18728, 267, 519, 21800, 5001, 4473, 540, 6683, 267, 543, 519, 2707, 540, 14042, 22300, 2916, 1689, 269, 5890, 21505, 2390, 8176, 670, 777, 16591, 779, 3069, 540, 3618, 12933, 12761, 267, 799, 729, 13084, 16845, 676, 15751, 18160, 267, 789, 4983, 3504, 2943, 3810, 4977, 1158, 7851, 267, 1519, 519, 623, 21105, 1234, 529, 4786, 540, 476, 14681, 274, 267, 543, 1397, 875, 519, 3618, 779, 12933, 17146, 538, 476, 31634, 271, 14514, 267, 1951, 21794, 7284, 656, 529, 883, 519, 8701, 7997, 1141, 621, 1631, 6013, 9944, 5195, 540, 21303, 4672, 269, 3245, 519, 31180, 267, 670, 4660, 320, 267, 543, 744, 16988, 12298, 540, 3345, 3013, 547, 519, 9998, 5638, 540, 5527, 267, 9459, 267, 6792, 267, 543, 3567, 267, 789, 7866 ]

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

[ 9167, 5214, 267, 17692, 302, 4456, 267, 543, 29436, 1815, 1108, 269, 1452, 1331, 5610, 540, 5186, 6137, 543, 3662, 1949, 543, 9742, 3903, 269, 769, 4334, 267, 2853, 585, 3662, 2359, 267, 6604, 2409, 538, 3662, 1072, 267, 3662, 8027, 267, 3662, 10304, 267, 3662, 6484, 267, 543, 18915, 2359, 616, 3989, 610, 4330, 8335, 269, 630, 275, 264, 13565, 547, 1426, 1949, 267, 5214, 6683, 1445, 4513, 593, 2930, 3344, 267, 971, 607, 1426, 4393, 267, 1247, 538, 29436, 1815, 1108, 972, 568, 513, 7986, 7521, 1063, 513, 13710, 543, 14883, 894, 16786, 269, 5637, 29436, 1815, 1108, 543, 5214, 6683, 2709, 9621, 7418, 585, 519, 2104, 1646, 540, 4264, 6694, 2504, 543, 1426, 1949, 267, 2523, 952, 741, 3741, 543, 2853, 27721, 547, 513, 13710, 1935, 543, 602, 15641, 525, 519, 6671, 5314, 540, 29436, 32103, 1949, 269, 0, 289, 10165, 7734, 10432, 5181, 476, 1240, 910, 476, 2190, 454, 9336, 5181, 267, 8021, 267, 3506, 267, 29481, 267, 15882, 267, 543, 824, 2199, 525, 1472, 519, 1158, 8661, 519, 1318, 547, 1224, 1282, 645, 10165, 7734, 10432, 269, 2311, 922, 2295, 267, 645, 10165, 7734, 10432, 568, 513, 11812, 540, 519, 5191, 547, 1569, 2093, 267, 513, 4909, 1318, 602, 12851, 547, 3025, 543, 936, 799, 1100, 835, 1268, 610, 1507, 1895, 540, 1004, 1058, 3180, 32022, 269, 645, 10165, 7734, 10432, 568, 513, 11812, 540, 2835, 267, 14676, 267, 4249, 267, 1148, 267, 19761, 267, 543, 1454, 811, 563, 4415, 1433, 2591, 593, 519, 4473, 267, 621, 568, 811, 1271, 982, 2479, 547, 5431, 543, 4339, 24890, 538, 782, 922, 3029, 543, 2149, 519, 1318, 547, 1224, 543, 1589, 563, 21158, 19964, 23645, 0, 300, 30291, 636, 1107, 1548, 1772, 898, 543, 1215, 547, 8073, 898, 454, 3528, 808, 650, 1014, 7935, 5417, 639, 543, 932, 3089, 595, 639, 3861, 334, 454, 18550, 8496, 1145, 949, 581, 936, 267, 855, 649, 2461, 1869, 3206, 827, 782, 540, 519, 2188, 602, 3366, 547, 17857, 10888, 519, 23594, 1222, 281, 5578, 267, 16542, 267, 9015, 267, 18006, 267, 9939, 267, 8990, 267, 543, 4640, 267, 547, 2012, 513, 1906, 563, 4913, 267, 972, 779, 1776, 12146, 538, 519, 3575, 602, 779, 513, 2370, 811, 2352, 547, 22945, 267, 855, 26837, 22239, 30289, 547, 519, 1967, 540, 1022, 3804, 281, 11610, 563, 288, 2165, 1419, 3989, 538, 6323, 9499, 267, 11610, 568, 968, 1492, 7274, 540, 5163, 540, 513, 3001, 1560, 267, 6027, 607, 513, 1587, 540, 922, 2527, 543, 6991, 1848, 1717, 267, 538, 2474, 540, 519, 1379, 540, 11610, 538, 938, 3232, 2729, 267, 621, 949, 581, 811, 3730, 547, 5581, 13053, 779, 3689, 4521, 540, 18289, 269, 634, 1876, 540, 24880, 2829, 602, 834, 9336, 1843, 538, 513, 1533, 540, 7833, 5163, 11148, 547, 2611, 538, 602, 1533, 540, 5163, 8259, 606, 5007, 3196, 568, 4294, 547, 621, 4799, 1103, 2110, 267, 3615, 538, 5163, 1058, 3251, 538, 5163, 267, 8259, 29572, 539, 676, 606, 3544, 3815, 269, 6787, 538, 6323, 610, 538, 1272, 267, 891, 2188, 2611, 519, 1482, 281, 4187, 267, 3625, 3547, 267, 610, 513, 27445, 1592, 540, 7298, 610, 15865, 9465, 630, 704, 4257, 8904, 952, 649, 2461, 7234, 6323, 267, 610, 4250, 952, 649, 2461, 7234, 1272, 1040, 1924, 267, 875, 666, 649, 7753, 891, 9465, 547, 2226, 11610, 543, 3035, 938, 3853, 286, 1284, 4076, 16432, 513, 1592, 540, 476, 1015, 6836, 7146, 2389, 4902, 3268, 2336, 9359, 2368, 3602, 1107, 1403, 11610, 568, 782, 827, 4543, 519, 3440, 5066, 5488, 543, 5488, 267, 596, 1101, 1590, 1205, 519, 3440, 12902, 269, 3399, 676, 1818, 513, 7029, 630, 663, 1107, 547, 14678, 1118, 3054, 476, 5655, 260, 811, 2693, 547, 3035, 1967, 267, 2322, 621, 538, 1603, 26695, 30696, 593, 2290, 1107, 29760, 593, 1932, 1082, 1919, 1797, 596, 3112, 1445, 2614, 593, 835, 3364, 269, 1656, 267, 607, 1445, 1793, 2354, 267, 865, 1932, 1281, 11610, 269, 715, 5535, 1524, 707, 3853, 547, 835, 10862, 267, 543, 1118, 621, 513, 1448, 547, 1491, 3268, 2509, 621, 3232, 563, 291, 3195, 8262, 1107, 1703, 779, 1100, 942, 547, 1711, 11610, 952, 707, 3804, 568, 3362, 1369, 3914, 256, 9578, 267, 670, 16576, 2090, 2303, 649, 2461, 2965, 811, 2693, 547, 3035, 2352, 3853, 982, 649, 616, 2653, 3283, 563, 13014, 513, 4643, 1107, 4340, 547, 835, 1867, 267, 968, 8256, 19290, 14045, 547, 3035, 1945, 4679, 707, 8458, 689, 476, 1015, 260, 547, 476, 1839, 10065, 4495, 596, 3442, 950, 543, 723, 513, 2312, 875, 267, 707, 8458, 540, 8011, 532, 1831, 476, 2004, 260, 3034, 8340, 6184, 17508, 1107, 28850, 636, 568, 23185, 676, 8404, 269, 1403, 596, 1265, 3054, 15877, 538, 519, 8545, 267, 1413, 547, 513, 1483, 3734, 1383, 585, 6667, 269, 5808, 814, 6913, 707, 3804, 1354, 596, 286, 1548, 1705, 789, 798, 543, 875, 1705, 789, 798, 621, 286, 6875, 4967, 543, 1107, 811, 11932, 1107, 1413, 547, 873, 547, 7618, 3054, 602, 621, 27114, 581, 2944, 563, 291, 3195, 8262, 267, 855, 21561, 9540, 1107, 1284, 6035, 513, 2656, 6323, 3992, 1657, 267, 543, 1631, 649, 3580, 1491, 621, 1394, 547, 1164, 1153, 2979, 609, 713, 3830, 281, 476, 272, 317, 18458, 815, 476, 272, 476, 272, 269, 4905, 317, 18458, 815, 476, 4391, 269, 4281, 1548, 798, 891, 2338, 1611, 286, 15439, 2322, 267, 1256, 519, 10545, 540, 4679, 1169, 1554, 786, 1039, 909, 15186, 609, 942, 256, 1403, 596, 2461, 513, 5856, 267, 3479, 547, 8380, 513, 5037, 593, 1957, 1169, 1554, 269, 1403, 596, 2461, 593, 513, 2597, 2530, 3460, 267, 1118, 835, 1507, 1689, 547, 1376, 269, 1403, 596, 1616, 547, 18214, 6778, 31231, 560, 267, 1376, 609, 519, 14629, 538, 707, 18147, 269, 5213, 1406, 546, 691, 856, 540, 519, 19235, 1932, 3533, 1107, 3500, 543, 11931, 17993, 519, 5198, 2336, 306, 3832, 7191, 5384, 1107, 9453, 6857, 4674, 543, 5310, 513, 11706, 16369, 267, 596, 2461, 2693, 547, 1832, 3257, 1018, 596, 4076, 2141, 2944, 630, 6518, 786, 1267, 538, 513, 12402, 547, 1832, 3478, 1018, 596, 4076, 2141, 20335, 32656, 21480, 942, 538, 707, 3018, 547, 25058, 547, 707, 3853, 543, 2149, 713, 942, 18979, 569, 563, 1103, 341, 9876, 11524, 1107, 634, 1655, 2707, 540, 8404, 286, 10055, 1464, 4891, 256, 4855, 2576, 945, 786, 5000, 596, 267, 3365, 7596, 596, 267, 543, 6148, 1256, 6443, 596, 593, 707, 18214, 547, 519, 1283, 563, 6826, 21111, 1107, 28850, 636, 3085, 1406, 4755, 16074, 267, 543, 952, 707, 5326, 568, 2462, 2614, 267, 621, 786, 1491, 942, 269, 2142, 3461, 609, 707, 3356, 543, 3479, 547, 519, 1279, 3856, 2336, 12648, 5516, 1107, 28850, 636, 666, 1406, 581, 2813, 952, 707, 1648, 568, 27071, 676, 824, 2188, 269, 3657, 596, 3478, 2614, 3207, 286, 23556, 532, 707, 1560, 5265, 286, 28259, 532, 3054, 609, 1272, 3766, 1516, 3347, 286, 6875, 606, 11891, 540, 707, 1272, 543, 3313, 1141, 596, 1223, 1732, 1305, 3054, 909, 585, 1967, 563, 1692, 616, 596, 3257, 538, 2474, 540, 11610, 286, 1403, 596, 991, 948, 547, 1376, 630, 528, 1832, 264, 519, 3440, 12902, 267, 649, 8910, 2648, 547, 948, 693, 18078, 17106, 11333, 3820, 0, 17951, 518, 568, 513, 2067, 7553, 602, 649, 782, 1745, 269, 898, 568, 513, 1826, 540, 661, 32271, 20237, 7271, 269, 4911, 518, 666, 581, 8756, 1242, 883, 2318, 1648, 543, 3527, 3079, 540, 1373, 16160, 543, 5739, 547, 1004, 1472, 721, 563, 17951, 518, 568, 513, 2067, 7553, 602, 649, 782, 1745, 563, 17951, 518, 568, 513, 2067, 7553, 602, 649, 782, 1745, 269, 898, 568, 513, 1826, 540, 661, 32271, 8878, 7271, 269, 4911, 518, 2306, 596, 1745, 1434, 267, 1317, 596, 616, 3478, 1394, 693, 2576, 945, 10413, 596, 538, 930, 1259, 563, 17951, 518, 568, 2141, 15427, 676, 1945, 2576, 1767, 610, 1705, 602, 10413, 721, 269, 1677, 1205, 7759, 540, 10845, 267, 649, 991, 547, 1174, 1946, 621, 729, 15427, 543, 1287, 6430, 2436, 649, 991, 547, 1689, 938, 2623, 865, 602, 621, 3085, 1406, 4755, 1586, 563, 2005, 568, 513, 1826, 540, 661, 32271, 8878, 7271, 563, 17951, 518, 568, 513, 2067, 7553, 269, 898, 568, 707, 1560, 779, 1259, 540, 10213, 596, 602, 1945, 814, 10413, 596, 267, 543, 602, 621, 2115, 547, 581, 9619, 269, 1548, 713, 1797, 568, 602, 10845, 666, 581, 15427, 676, 4376, 602, 1131, 1118, 2576, 1745, 16091, 610, 12219, 563, 17951, 518, 2501, 689, 513, 1747, 540, 4250, 267, 10462, 543, 1928, 282, 621, 779, 707, 1560, 779, 1259, 540, 10213, 596, 602, 1945, 3884, 1406, 1318, 538, 707, 1272, 610, 1158, 2070, 267, 543, 2115, 547, 1689, 269, 4911, 518, 568, 2141, 15427, 676, 1945, 2576, 1767, 610, 1705, 2443, 606, 29405, 267, 606, 4323, 593, 938, 1915, 610, 10639, 2443, 930, 9228, 13581, 2390, 799, 649, 4076, 5116, 2495, 538, 1931, 547, 2149, 6000, 689, 2417, 10413, 610, 3441, 563, 763, 1966, 609, 10845, 607, 513, 20237, 7271, 568, 1079, 19507, 281, 1101, 569, 267, 950, 649, 1450, 6000, 547, 1831, 14220, 936, 1169, 2370, 3364, 896, 519, 3141, 630, 663, 1419, 711, 1256, 1287, 1070, 649, 2253, 1818, 10239, 856, 540, 3727, 327, 1571, 630, 528, 8726, 804, 747, 2946, 323, 14165, 1655, 17015, 707, 16681, 264, 538, 1931, 585, 721, 711, 1152, 17854, 1373, 14220, 827, 1945, 5634, 855, 849, 9446, 6000, 607, 12004, 344, 3464, 945, 17330, 29059, 1317, 789, 1185, 1044, 865, 3520, 1026, 569, 4636, 539, 676, 1776, 1268, 282, 2034, 569, 7498, 2005, 568, 2141, 15427, 676, 1945, 2576, 1767, 610, 1705, 602, 10413, 721, 563, 17951, 518, 568, 513, 5114, 547, 1945, 2576, 1767, 610, 1705, 602, 10413, 721, 269, 898, 568, 711, 2141, 519, 2013, 1498, 267, 3006, 649, 616, 14220, 609, 6000, 269, 4911, 518, 568, 513, 2067, 7553, 543, 621, 666, 581, 8756, 1242, 883, 2318, 1648, 543, 3527, 563, 18455, 14220, 568, 711, 2141, 3983, 2073, 3006, 1434, 2073, 607, 621, 2337, 596, 547, 19472, 3054, 543, 581, 811, 7682, 633, 563, 17951, 518, 568, 513, 3339, 7553, 602, 3025, 2833, 693, 930, 1448, 538, 741, 2729, 269, 898, 779, 711, 2141, 3983, 267, 607, 621, 666, 581, 8756, 1242, 883, 2318, 1648, 543, 3527, 269, 1280, 1383, 267, 952, 596, 616, 6972, 538, 519, 6288, 543, 513, 2915, 8255, 909, 547, 596, 543, 17486, 707, 1850, 543, 1287, 8255, 2476, 267, 713, 3123, 10845, 269, 901, 568, 711, 513, 1434, 4743, 855, 1317, 540, 519, 5945, 547, 707, 1850, 267, 621, 2306, 596, 14220, 2614, 547, 1616, 547, 1205, 20947, 593, 519, 2915, 945, 10413, 596, 610, 1118, 2386, 602, 713, 1482, 3364, 3085, 1406, 4755, 1586, 609, 1776, 2915, 676, 10825, 4656, 827, 875, 5906, 5243, 666, 581, 950, 789, 2196, 909, 547, 21046, 1510, 1373, 8036, 5265, 676, 741, 5411, 1101, 630, 2421, 1210, 1514, 2923, 5867, 899, 12108, 1916, 1607, 1826, 540, 10845, 4665, 919, 721, 2509, 3257, 1945, 11327, 585, 6000, 3079, 540, 1175, 9361, 1472, 5360, 8724, 827, 875, 1919, 4682, 4636, 585, 721, 269, 769, 1840, 2073, 3006, 1004, 1522, 1745, 13581, 539, 676, 1018, 1866, 798, 610, 2161, 865, 1454, 865, 602, 1256, 1498, 972, 949, 581, 4986, 1471, 4601, 4636, 630, 7224, 7298, 5945, 1070, 2620, 1524, 3330, 649, 1745, 606, 13499, 676, 741, 1913, 270, 13905, 1932, 282, 8754, 835, 2115, 15418, 689, 2576, 3116, 1354, 16561, 1346, 4606, 607, 4570, 3283, 1932, 1317, 6382, 789, 1131, 3274, 11716, 873, 15587, 799, 1223, 1291, 873, 883, 4965, 952, 2451, 15860, 936, 942, 2336, 2691, 596, 616, 14220, 609, 2576, 267, 596, 11129, 547, 2995, 519, 1268, 1946, 596, 616, 14220, 269, 2791, 1058, 798, 713, 1510, 4250, 543, 1510, 16620, 610, 16203, 563, 268, 15681, 519, 1268, 1946, 596, 616, 14220, 563, 268, 5213, 1406, 581, 12922, 547, 2995, 873, 563, 268, 5213, 1406, 16620, 610, 16203, 2389, 8692, 873, 563, 268, 2142, 30251, 543, 16614, 563, 268, 13773, 9350, 543, 1810, 1406, 6318, 707, 5639, 563, 268, 5213, 1406, 581, 17872, 267, 855, 849, 1810, 1406, 1577, 707, 10845, 1205, 519, 1655, 540, 596, 2336, 16605, 1293, 267, 952, 476, 272, 856, 540, 1169, 476, 1015, 268, 1428, 2053, 596, 616, 14220, 1287, 621, 568, 3339, 269, 1403, 476, 272, 856, 540, 476, 274, 268, 275, 2053, 1287, 972, 568, 513, 1966, 563, 2252, 596, 616, 14220, 609, 1004, 945, 616, 2673, 547, 596, 267, 1287 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 284, 3269, 1626, 6912, 263, 274, 32589, 319, 543, 519, 31753, 2387, 273, 343, 317, 273, 266, 3269, 344, 317, 273, 284, 3269, 275, 319, 2073, 1287, 544, 25389, 2387, 332, 317, 275, 266, 3269, 273, 332, 317, 273, 284, 3269, 2190, 319, 1547, 630, 272, 264, 15048, 476, 272, 568, 7301, 267, 3948, 476, 273, 568, 3020, 630, 273, 264, 15048, 476, 272, 568, 3020, 267, 3948, 476, 273, 568, 3020, 282, 3948, 476, 273, 568, 513, 2953, 7778, 585, 3948, 476, 272, 630, 274, 264, 15048, 476, 272, 568, 3020, 267, 3948, 476, 273, 568, 3020, 282, 3948, 476, 273, 568, 711, 513, 2953, 7778, 585, 3948, 476, 272, 630, 275, 264, 15048, 476, 272, 568, 3020, 267, 3948, 476, 273, 568, 7301, 692, 297, 7417, 10790, 27486, 4147, 476, 1321, 1923, 13878, 30278, 2464, 692, 4131, 2387, 288, 3269, 14352, 272, 476, 271, 476, 271, 476, 273, 476, 272, 476, 271, 476, 274, 476, 273, 476, 272, 23375, 1403, 2387, 340, 318, 272, 319, 543, 2387, 340, 318, 273, 319, 616, 6241, 14290, 971, 602, 2387, 288, 579, 318, 272, 14352, 272, 476, 271, 476, 271, 23375, 543, 2387, 288, 579, 318, 273, 14352, 271, 476, 272, 476, 271, 23375, 2073, 1287, 2387, 340, 318, 272, 266, 3269, 340, 318, 273, 319, 568, 3160, 547, 630, 272, 264, 2387, 8987, 272, 476, 272, 476, 271, 23375, 630, 273, 264, 2387, 8987, 272, 476, 272, 268, 272, 23375, 630, 274, 264, 2387, 8987, 272, 268, 272, 476, 271, 23375, 630, 275, 264, 25464, 272, 268, 272, 268, 272, 23375, 692, 297, 7417, 10790, 27486, 4147, 476, 1556, 1923, 645, 2562, 6865, 24361, 5990, 3036, 4932, 692, 2252, 562, 568, 513, 2318, 8870, 267, 1287, 25464, 6912, 263, 274, 11924, 272, 8203, 263, 273, 333, 9984, 263, 6912, 263, 274, 9984, 272, 8203, 263, 273, 333, 23375, 568, 630, 272, 264, 606, 19450, 1297, 630, 273, 264, 606, 9642, 2318, 8870, 630, 274, 264, 606, 1256, 2318, 8870, 630, 275, 264, 513, 7787, 1297, 824, 982, 2318, 9981, 692, 297, 7417, 10790, 27486, 4147, 476, 1015, 1923, 8121, 18952, 10933, 12087, 11550, 16165, 8577, 12778, 306, 692, 2252, 476, 1911, 2053, 519, 2387, 1911, 22677, 339, 554, 23375, 2165, 540, 606, 6673, 609, 1875, 4642, 1455, 3017, 11224, 519, 476, 2004, 2053, 922, 2387, 2004, 22677, 339, 554, 23375, 2165, 267, 1287, 519, 2387, 5611, 22677, 339, 554, 23375, 2165, 540, 713, 6673, 568, 630, 272, 264, 2387, 476, 5611, 319, 630, 273, 264, 476, 5611, 2053, 922, 2387, 2004, 22677, 339, 554, 23375, 2165, 630, 274, 264, 476, 5611, 630, 275, 264, 4642, 692, 297, 7417, 10790, 27486, 4147, 476, 1556, 1923, 13138, 5456, 16688, 4953, 30278, 674, 7419, 290, 16739, 692, 1103, 513, 2387, 18773, 303, 1627, 681, 319, 2073, 952, 2387, 274, 3269, 338, 538, 3269, 303, 3269, 266, 3269, 275, 3269, 6523, 3269, 304, 3269, 284, 3269, 277, 319, 543, 2387, 275, 3269, 338, 538, 3269, 304, 3269, 266, 3269, 274, 3269, 6523, 3269, 303, 3269, 284, 3269, 272, 319, 2073, 1287, 519, 5086, 681, 568, 3160, 547, 630, 272, 264, 25464, 276, 7032, 8358, 277, 319, 630, 273, 264, 2387, 7032, 270, 277, 319, 630, 274, 264, 2387, 7032, 270, 275, 319, 630, 275, 264, 25464, 274, 7032, 8358, 275, 26384, 30238, 689, 8935, 23336, 18133, 0, 258, 9612, 676, 13445, 692, 2971, 8249, 28562, 609, 9255, 1871, 2147, 547, 20134, 667, 823, 1384, 23742, 614, 676, 281, 12474, 1826, 912, 25111, 912, 20806, 3188, 1377, 1384, 2162, 1703, 616, 476, 10170, 2164, 692, 289, 5802, 11762, 3436, 10606, 543, 519, 7089, 3590, 3436, 9255, 1871, 692, 2162, 32693, 5681, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 1432, 568, 519, 2040, 540, 782, 519, 9704, 538, 782, 519, 9981, 689, 835, 547, 835, 2929, 2496, 2162, 1975, 749, 676, 10606, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 4692, 596, 12990, 2338, 585, 519, 5022, 538, 891, 18304, 2496, 2162, 744, 9536, 569, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 8340, 519, 2040, 540, 782, 1614, 18251, 2338, 1142, 540, 4171, 9704, 568, 9642, 780, 2162, 28081, 519, 6226, 1080, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 4692, 596, 6582, 519, 9704, 476, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 267, 278, 267, 279, 267, 280, 883, 1614, 476, 274, 18251, 2338, 971, 602, 741, 2698, 568, 2673, 547, 476, 5611, 271, 2496, 2162, 9861, 12754, 995, 910, 12729, 7089, 692, 7462, 8609, 281, 476, 272, 543, 476, 273, 7420, 5426, 1384, 10831, 2042, 693, 3119, 1377, 602, 2154, 6297, 7156, 780, 2162, 13235, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 1103, 519, 8691, 9819, 267, 930, 540, 519, 9704, 723, 1044, 8719, 676, 5022, 543, 1866, 676, 14531, 529, 802, 269, 2052, 596, 18949, 519, 3312, 8691, 2496, 2162, 13845, 1512, 781, 645, 2158, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 763, 8857, 267, 3627, 13845, 1512, 267, 11827, 891, 17446, 827, 476, 6110, 1296, 3516, 547, 948, 5173, 8691, 543, 6498, 269, 2052, 596, 960, 856, 875, 547, 946, 13845, 1512, 781, 7633, 547, 1265, 519, 2626, 547, 891, 3818, 4124, 2496, 2162, 14520, 1772, 519, 5681, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 1432, 798, 519, 9704, 538, 519, 1297, 19939, 1039, 909, 547, 286, 1215, 1082, 824, 2338, 723, 9704, 609, 519, 1482, 2698, 855, 1100, 21325, 2496, 2162, 4634, 5455, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 13706, 782, 540, 519, 2947, 7857, 2338, 799, 649, 666, 1106, 1210, 1152, 519, 9704, 476, 273, 267, 476, 275, 267, 476, 277, 543, 476, 279, 269, 1403, 891, 2338, 616, 11231, 538, 26799, 1931, 267, 1018, 568, 519, 476, 24423, 628, 1297, 2496, 2162, 14520, 8648, 12866, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 1692, 1082, 3670, 7857, 2338, 616, 972, 799, 11298, 10691, 2270, 513, 476, 276, 2496, 2162, 715, 823, 610, 715, 7360, 585, 5565, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 5278, 10632, 2334, 2904, 2142, 715, 823, 610, 715, 7360, 585, 606, 2937, 543, 1126, 269, 2422, 707, 1702, 540, 1747, 1871, 547, 10726, 707, 18545, 780, 2162, 7066, 17331, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 4692, 596, 5372, 519, 5022, 609, 2338, 286, 1772, 972, 1152, 835, 3070, 538, 1142, 2013, 2496, 2162, 14576, 3883, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 288, 1153, 5152, 1433, 3568, 476, 10384, 8964, 269, 634, 2338, 540, 519, 8964, 616, 10268, 676, 9256, 2027, 1507, 2582, 18251, 12545, 269, 1548, 568, 519, 5934, 1297, 540, 1507, 12545, 602, 568, 2877, 2496, 2162, 2353, 519, 6226, 1080, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 1607, 8691, 3096, 1142, 540, 519, 9704, 476, 271, 910, 476, 280, 2899, 543, 2899, 1152, 269, 4635, 519, 1344, 2016, 267, 666, 596, 5372, 519, 6801, 538, 519, 9819, 609, 5515, 2496, 2162, 634, 23897, 1343, 10794, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 10376, 1126, 538, 4147, 476, 274, 3576, 2185, 2338, 856, 540, 519, 9126, 269, 5808, 1185, 1500, 519, 5207, 1256, 1297, 2496, 7462, 8609, 281, 476, 272, 543, 476, 273, 7420, 5426, 1384, 8005, 1767, 602, 4946, 7948, 1405, 581, 1187, 2496, 2162, 2290, 28985, 547, 18599, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 9359, 676, 8380, 835, 2929, 630, 272, 476, 1822, 476, 1822, 264, 883, 519, 4159, 540, 707, 9498, 269, 2052, 596, 2569, 713, 547, 476, 278, 1210, 1175, 519, 476, 278, 1883, 543, 1039, 267, 10208, 267, 9062, 267, 7941, 543, 11224, 607, 1082, 2053, 607, 596, 899, 2496, 2162, 4144, 21192, 590, 4548, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 1103, 713, 476, 1911, 4009, 267, 1413, 693, 519, 3039, 4009, 799, 3568, 519, 2338, 476, 273, 267, 476, 274, 267, 476, 1321, 543, 476, 1724, 269, 1548, 568, 519, 2040, 540, 519, 2338, 602, 616, 25241, 958, 6587, 1142, 824, 286, 1548, 798, 596, 5469, 2496, 2162, 6904, 1772, 16797, 518, 2496, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 7617, 568, 18334, 267, 10203, 909, 547, 476, 1789, 538, 3283, 610, 10203, 909, 547, 476, 4968, 538, 9937, 286, 4208, 2496, 2162, 9861, 20985, 910, 12729, 7089, 692, 7462, 8609, 281, 476, 272, 543, 476, 273, 7420, 5426, 1384, 10831, 2042, 693, 3119, 1377, 547, 960, 593, 609, 1866, 780, 2162, 10815, 518, 6226, 1080, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 1692, 1082, 2318, 9981, 1447, 982, 610, 3160, 547, 476, 6110, 271, 666, 581, 2854, 1524, 1510, 1210, 519, 9704, 476, 278, 267, 476, 279, 610, 476, 280, 2496, 2162, 18471, 519, 8422, 667, 823, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 1432, 4523, 950, 596, 5180, 891, 1614, 18251, 2338, 547, 519, 14282, 476, 1911, 2496, 2162, 9861, 22990, 1304, 910, 12729, 7089, 692, 7462, 8609, 281, 476, 272, 543, 476, 273, 7420, 5426, 1384, 10831, 2042, 693, 3119, 1377, 602, 949, 2154, 6043, 780, 2162, 23894, 344, 781, 7089, 1773, 3784, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 6826, 1188, 344, 2813, 513, 1297, 726, 3784, 799, 12750, 625, 676, 476, 276, 543, 10208, 338, 476, 275, 269, 1548, 798, 596, 5469, 827, 519, 2338, 602, 621, 7472, 286, 2052, 596, 2491, 707, 4681, 2496, 2162, 3807, 19244, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 13914, 540, 1022, 1614, 18251, 1297, 269, 19244, 519, 9704, 269, 634, 476, 277, 18251, 1297, 602, 596, 1439, 909, 609, 568, 16883, 676, 476, 11011, 269, 1772, 713, 513, 14626, 2064, 2496, 2162, 667, 823, 344, 15051, 585, 5565, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 291, 823, 344, 15051, 585, 606, 2937, 543, 1126, 269, 2052, 596, 1205, 2673, 547, 476, 1911, 271, 982, 707, 7649, 2496, 2162, 595, 599, 2917, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 763, 5022, 538, 519, 1739, 1840, 2040, 2099, 519, 9704, 476, 272, 3267, 476, 280, 269, 1403, 589, 284, 274, 543, 667, 284, 273, 267, 1018, 1297, 568, 6719, 676, 834, 7563, 312, 4041, 312, 257, 2496, 2162, 25092, 11638, 1255, 476, 274, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 5970, 513, 979, 693, 13326, 713, 3830, 269, 2052, 596, 1265, 1114, 2081, 540, 3257, 621, 2496, 2162, 6904, 14644, 338, 2496, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 2467, 616, 3670, 2338, 2854, 538, 2947, 1114, 20072, 269, 2052, 596, 4990, 856, 799, 568, 799, 2496, 2162, 18471, 519, 667, 823, 31353, 476, 272, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 8196, 1079, 18062, 547, 5352, 1079, 2338, 609, 835, 8918, 1747, 269, 1548, 4523, 950, 596, 5180, 891, 2338, 547, 519, 14282, 2898, 1297, 2496, 2162, 18471, 519, 667, 823, 31353, 476, 273, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 1432, 4523, 950, 596, 5180, 891, 2338, 547, 519, 14282, 2898, 1297, 2496, 2162, 9861, 30985, 910, 12729, 7089, 692, 7462, 8609, 281, 476, 272, 543, 476, 273, 7420, 5426, 1384, 10831, 2042, 585, 22679, 3931, 3119, 6267, 780, 2162, 18696, 5295, 692, 7462, 8609, 281, 476, 274, 267, 476, 275, 543, 476, 276, 7420, 5426, 1384, 8794, 13326, 10253, 1018, 568, 519, 2547, 1297, 540, 12035, 2877, 547, 9260, 782, 8870, 13999, 689, 476, 272, 547, 476, 1911, 271, 286, 1773, 5217, 930, 540, 519, 12035, 538, 519, 1482, 3443, 607, 519, 1843, 875, 1082, 616, 2877, 2496, 2162, 595, 10757, 25569, 12384, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 1607, 476, 1911, 4009, 795, 12127, 1177, 568, 2854, 538, 3009, 269, 898, 6238, 609, 476, 272, 543, 7475, 609, 476, 1911, 269, 2052, 596, 1628, 621, 909, 2496, 2162, 25092, 11638, 1255, 476, 273, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 4692, 596, 960, 856, 930, 1114, 2081, 547, 3666, 713, 3830, 2496, 2162, 25092, 11638, 1255, 476, 272, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 4692, 596, 2347, 713, 9819, 676, 11423, 538, 519, 7508, 2338, 286, 769, 875, 1082, 1114, 2081, 666, 596, 798, 621, 2496, 2162, 28024, 13987, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 8649, 5074, 607, 621, 949, 3100, 519, 1614, 535, 1161, 6967, 538, 519, 1739, 2387, 338, 651 ]

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

[ 454, 296, 601, 1206, 1603, 1557, 5439, 7824, 3732, 4081, 4305, 3594, 6512, 2489, 454, 296, 601, 1206, 1603, 4305, 3732, 3594, 7824, 2489, 2866, 1557, 3898, 454, 296, 601, 1206, 1603, 4305, 3732, 3594, 7824, 6512, 1557, 5439, 2489, 2866, 454, 296, 601, 1206, 12591, 25669, 5439, 7824, 4305, 7663, 20439, 904, 3898, 454, 5575, 16512, 3594, 12732, 2230, 267, 942, 543, 1641, 281, 519, 2749, 29746, 267, 606, 30442, 6177, 267, 610, 513, 11442, 689, 519, 476, 2568, 338, 734, 718, 5396, 540, 3594, 594, 319, 557, 3370, 734, 732, 1175, 835, 695, 28984, 540, 606, 11995, 16064, 540, 8903, 4798, 269, 15216, 7758, 2603, 610, 711, 267, 621, 26141, 2760, 519, 1641, 540, 606, 1557, 602, 6645, 267, 855, 519, 2511, 543, 18879, 540, 922, 2278, 734, 6343, 1522, 3100, 519, 2547, 2693, 540, 1557, 5396, 666, 581, 1500, 513, 533, 1172, 656, 2985, 2389, 1248, 518, 676, 513, 5856, 26141, 10888, 1688, 269, 1284, 319, 961, 1413, 1934, 693, 7446, 519, 1888, 267, 1793, 656, 543, 5639, 540, 707, 1557, 267, 14335, 513, 1291, 267, 2679, 606, 1557, 26141, 11733, 543, 24386, 513, 24362, 693, 1557, 26141, 1439, 563, 7312, 1557, 1590, 723, 2178, 5072, 267, 543, 1489, 835, 2427, 540, 519, 4661, 269, 1656, 1383, 540, 713, 1131, 581, 952, 596, 616, 1603, 707, 1557, 827, 11776, 4031, 267, 596, 1522, 8774, 513, 1769, 593, 519, 1514, 2152, 602, 616, 3238, 7282, 10363, 11776, 269, 1656, 1018, 23434, 4892, 3068, 1813, 547, 519, 11566, 2551, 540, 10363, 30659, 269, 634, 5013, 602, 616, 3769, 538, 519, 12819, 1557, 1590, 9305, 2047, 547, 519, 6249, 540, 707, 1557, 269, 1684, 711, 535, 1023, 1518, 610, 21179, 622, 1022, 5013, 602, 1489, 610, 28586, 707, 1448, 540, 2070, 282, 713, 666, 581, 22801, 547, 519, 5467, 543, 723, 606, 8801, 1860, 593, 519, 2298, 540, 707, 1557, 269, 4634, 1498, 596, 1557, 949, 2270, 1360, 1434, 1344, 267, 835, 7301, 4062, 540, 1344, 666, 25010, 707, 3003, 1557, 269, 1411, 666, 3403, 2093, 883, 707, 1557, 267, 855, 581, 2386, 789, 616, 538, 1463, 6935, 547, 519, 5013, 602, 596, 723, 2907, 3177, 538, 519, 1557, 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 ]

[ 519, 8728, 540, 741, 1871, 585, 519, 1554, 3562, 6377, 1272, 540, 1034, 2021, 7168, 3533, 269, 1306, 835, 540, 713, 1592, 781, 12286, 4589, 267, 6307, 14732, 2605, 3471, 267, 3081, 912, 1862, 19009, 2367, 723, 2760, 1044, 519, 3119, 9072, 540, 10795, 6760, 267, 543, 2943, 621, 568, 741, 4690, 543, 741, 2070, 540, 519, 1158, 602, 1631, 2531, 7149, 711, 1152, 519, 1850, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 11749, 1132, 15369, 12389, 257, 607, 851, 540, 834, 306, 23852, 29803, 1315, 9608, 12618, 1315, 4937, 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, 1576, 1770, 267, 649, 5490, 883, 519, 1950, 2078, 1063, 5198, 267, 1362, 267, 543, 4074, 1369, 519, 2796, 540, 2518, 3109, 2090, 269, 1284, 786, 2263, 875, 891, 1514, 21437, 12969, 543, 3337, 519, 2833, 540, 3109, 1004, 1472, 519, 1158, 267, 3226, 538, 6935, 547, 2825, 2152, 543, 4199, 3892, 269, 3414, 606, 6514, 540, 3140, 543, 4207, 2665, 267, 649, 2832, 547, 1174, 519, 2081, 538, 799, 11528, 15746, 814, 8329, 547, 5571, 13103, 543, 2591, 5185, 676, 3109, 2950, 780, 296, 269, 17813, 543, 7025, 32641, 454, 29432, 20245, 10168, 4016, 547, 519, 19018, 622, 4598, 540, 7292, 18441, 547, 5533, 267, 6757, 3653, 267, 543, 824, 13818, 6878, 269, 901, 7613, 666, 581, 14360, 1394, 547, 19525, 543, 8474, 267, 1141, 2067, 2200, 941, 13939, 689, 32519, 3338, 543, 16487, 547, 2342, 267, 30740, 22713, 1247, 6028, 3297, 10969, 730, 8134, 543, 12790, 5095, 780, 288, 269, 8466, 24306, 540, 7025, 32641, 692, 763, 1098, 520, 23007, 10553, 4123, 5129, 513, 1713, 1909, 538, 5935, 2038, 2825, 10168, 269, 3416, 331, 8491, 20338, 941, 7142, 547, 960, 593, 24914, 602, 16941, 8185, 593, 1395, 665, 11857, 8105, 2853, 267, 3056, 547, 3037, 12159, 543, 17717, 269, 5047, 267, 1671, 5055, 951, 1419, 6098, 2127, 609, 10731, 2067, 2200, 585, 741, 4238, 267, 2417, 12615, 908, 8733, 3441, 780, 289, 269, 12634, 6201, 540, 7025, 32641, 692, 9213, 267, 2825, 10168, 5170, 547, 1860, 3109, 2950, 5001, 269, 1280, 3236, 267, 538, 519, 2136, 2276, 267, 3979, 1977, 16973, 616, 811, 2693, 982, 3043, 3283, 547, 581, 4092, 2282, 6757, 3653, 4609, 543, 3542, 5024, 6080, 269, 6684, 267, 538, 13280, 781, 20997, 18647, 3148, 267, 3282, 10868, 2238, 723, 3366, 547, 7839, 12526, 540, 1216, 2959, 267, 7133, 2199, 10068, 2950, 945, 4096, 593, 873, 585, 6668, 780, 2862, 269, 4147, 543, 9483, 4112, 334, 2787, 454, 5785, 14945, 12218, 25327, 1404, 513, 2629, 1909, 538, 31328, 2804, 14226, 267, 3226, 1851, 3109, 4600, 269, 3590, 545, 7496, 2061, 1082, 3109, 2043, 689, 17034, 2298, 2069, 267, 2713, 13230, 6009, 267, 543, 16057, 10688, 3255, 267, 4611, 538, 10770, 5763, 10616, 1063, 14797, 780, 288, 269, 3955, 23400, 32100, 717, 2355, 692, 2171, 953, 8635, 568, 513, 1883, 3815, 7700, 547, 1362, 15523, 1369, 3109, 2950, 269, 5494, 3234, 22922, 4507, 899, 2699, 23164, 543, 17478, 723, 13840, 3908, 1753, 1144, 11429, 3255, 585, 17051, 267, 1818, 621, 2352, 585, 3885, 547, 18645, 1252, 1049, 5763, 998, 3959, 9562, 269, 5015, 267, 2816, 7130, 814, 11658, 1569, 547, 1164, 1790, 11691, 7158, 267, 31328, 9979, 540, 6710, 780, 289, 269, 7073, 22553, 540, 9483, 11534, 1833, 692, 28757, 3029, 540, 2804, 14226, 1331, 4418, 1846, 7749, 4074, 267, 3348, 13895, 7694, 12417, 267, 543, 13016, 5823, 960, 269, 1452, 2175, 4734, 3109, 4600, 7925, 547, 6057, 543, 2709, 2370, 4027, 1996, 15490, 13848, 610, 22247, 2324, 2175, 780, 7656, 269, 8534, 28073, 543, 18650, 454, 5785, 21387, 9961, 1686, 267, 3109, 4600, 723, 6896, 15217, 547, 4161, 1949, 540, 15746, 543, 3747, 1732, 2126, 269, 3245, 9769, 1944, 3646, 1282, 519, 11633, 7169, 547, 2413, 6377, 19191, 5322, 267, 4074, 12180, 3788, 513, 2565, 1907, 585, 14027, 9698, 543, 5126, 780, 288, 269, 7216, 8534, 5029, 9088, 543, 1133, 687, 692, 7628, 519, 3735, 13524, 2540, 267, 3109, 4600, 3459, 8108, 18787, 547, 12167, 585, 4824, 2324, 2175, 543, 3655, 790, 337, 13180, 269, 8871, 5799, 3906, 3769, 519, 2051, 1819, 2817, 8534, 5742, 630, 290, 301, 299, 308, 1070, 8547, 538, 476, 5908, 280, 267, 543, 519, 19656, 3125, 540, 12619, 532, 2961, 623, 13024, 267, 3964, 538, 476, 4572, 276, 269, 5637, 2516, 8179, 17604, 2066, 7292, 3515, 1247, 8165, 1996, 25641, 2853, 780, 289, 269, 10558, 28233, 2920, 13659, 543, 31197, 692, 17457, 6377, 4074, 5322, 3136, 547, 2232, 10296, 4145, 6849, 3109, 4600, 267, 1519, 4747, 8635, 267, 7128, 30468, 267, 543, 2916, 1689, 269, 22411, 338, 971, 607, 1948, 14937, 299, 1161, 300, 2660, 543, 519, 674, 697, 585, 1269, 1428, 5031, 519, 991, 585, 10167, 531, 4485, 602, 2015, 1312, 5198, 543, 1362, 950, 5466, 11528, 31716, 780, 3528, 6313, 519, 6946, 4296, 1063, 5198, 267, 1362, 267, 543, 4074, 1369, 2518, 3109, 2090, 267, 649, 2744, 3407, 4030, 883, 519, 5571, 9620, 5185, 676, 12790, 2950, 269, 1306, 12403, 1841, 540, 938, 4541, 267, 621, 568, 1898, 602, 649, 5431, 891, 3095, 1137, 543, 960, 2509, 12581, 3435, 602, 3895, 6940, 543, 1514, 5126, 585, 782, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 19640, 9604, 4562, 27468, 2887, 719, 476, 275, 454, 1103, 799, 540, 519, 1739, 2829, 568, 936, 6588, 4506, 3743, 585, 2244, 12159, 286, 14606, 11761, 281, 4208, 15417, 3618, 568, 1373, 28811, 543, 4503, 634, 19300, 4673, 9390, 568, 519, 29224, 543, 519, 1158, 779, 4102, 9390, 269, 8092, 12159, 3123, 513, 7771, 538, 2244, 7607, 543, 568, 4061, 2693, 547, 1291, 547, 2799, 2157, 540, 6710, 269, 634, 13482, 3294, 729, 513, 3210, 547, 513, 1289, 693, 519, 6167, 3047, 27169, 514, 21586, 632, 13191, 10098, 538, 476, 1960, 273, 547, 3180, 16395, 585, 606, 3486, 3656, 6876, 593, 9390, 2305, 269, 634, 4139, 17912, 16635, 13886, 2048, 5327, 1068, 715, 2074, 910, 24079, 689, 519, 19164, 685, 538, 7507, 538, 5412, 476, 1220, 277, 568, 606, 1383, 540, 835, 971, 4656, 1700, 24597, 11036, 269, 634, 12019, 17897, 281, 634, 4411, 17897, 16569, 689, 5412, 547, 5988, 269, 8382, 281, 2422, 519, 1657, 4491, 3660, 19436, 14330, 304, 5999, 585, 4147, 476, 278, 17323, 3848, 476, 1015, 5020, 538, 519, 19164, 338, 609, 12226, 21584, 1863, 4647, 543, 1205, 513, 1434, 17945, 593, 519, 17950, 540, 1483, 2338, 1888, 269, 630, 328, 264, 1703, 568, 1085, 656, 344, 10664, 538, 519, 964, 324, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 305, 864, 267, 4147, 267, 543, 8534, 257, 607, 851, 540, 834, 24719, 13316, 1315, 4563, 5525, 630, 17471, 29215, 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, 769, 2221, 781, 2442, 2528, 267, 4683, 14810, 543, 31510, 5436, 9814, 9089, 10023, 16750, 7068, 971, 607, 941, 342, 11510, 543, 6442, 1562, 723, 6591, 1713, 20086, 1851, 1312, 2937, 543, 1762, 9458, 269, 901, 10006, 538, 1719, 814, 8507, 538, 513, 3395, 1560, 540, 3332, 6322, 693, 11174, 3988, 945, 3343, 13858, 9035, 29689, 609, 9589, 2609, 543, 1950, 3197, 269, 634, 8574, 1657, 8711, 519, 9620, 5185, 676, 4589, 2324, 1369, 891, 11964, 267, 3226, 1346, 1603, 827, 941, 342, 11510, 543, 6442, 1562, 269, 1284, 786, 5490, 883, 713, 9159, 5339, 5251, 543, 2263, 922, 14960, 998, 1585, 14485, 267, 1519, 3140, 2796, 267, 9423, 2553, 267, 1915, 1646, 267, 4798, 267, 543, 24848, 637, 269, 1635, 2502, 609, 891, 3344, 267, 1053, 666, 3986, 741, 7071, 585, 519, 23477, 2838, 547, 1711, 8903, 6386, 10704, 593, 941, 342, 6504, 543, 5546, 327, 14823, 23233, 780, 23208, 12745, 912, 763, 8129, 540, 2984, 5473, 3425, 13321, 883, 2831, 4266, 1394, 5215, 540, 1296, 2066, 3875, 4529, 269, 9147, 5259, 13299, 2934, 8941, 540, 2043, 23009, 3151, 883, 581, 6814, 1813, 547, 1225, 4513, 610, 10143, 6304, 269, 6684, 267, 7111, 1977, 18691, 3568, 3638, 6386, 827, 3337, 6879, 14823, 9988, 543, 519, 6929, 6605, 545, 7919, 630, 327, 2788, 25993, 267, 3368, 15515, 770, 1040, 1452, 13654, 2984, 9788, 519, 24536, 585, 2413, 12496, 540, 11430, 4754, 6605, 344, 1107, 519, 2702, 547, 10641, 1063, 1480, 543, 18896, 1106, 1107, 799, 3029, 519, 4493, 540, 4207, 941, 342, 6504, 5708, 269, 4197, 519, 3140, 5072, 540, 891, 17691, 2636, 1053, 547, 5660, 875, 3504, 4978, 3136, 547, 3310, 4207, 3332, 543, 1683, 6667, 585, 5499, 14624, 780, 1805, 800, 8346, 9828, 912, 19931, 9423, 12346, 8185, 593, 533, 5217, 267, 8082, 267, 543, 5790, 269, 19536, 5665, 1369, 519, 7706, 540, 941, 342, 11510, 543, 6442, 1562, 1590, 3666, 27217, 4948, 2833, 609, 9058, 8090, 540, 7004, 269, 1677, 3035, 713, 11466, 267, 789, 1419, 2308, 1808, 2994, 912, 272, 269, 19573, 531, 13414, 281, 20405, 569, 13031, 1344, 827, 519, 1292, 1915, 781, 5759, 8952, 3988, 7722, 543, 11235, 547, 3605, 811, 269, 901, 4480, 849, 2337, 3715, 3929, 4296, 1063, 3988, 543, 3197, 607, 789, 6330, 3838, 2591, 2404, 609, 10703, 2718, 741, 3020, 9163, 563, 273, 269, 17553, 281, 26787, 11626, 5468, 8309, 3648, 547, 2679, 21599, 543, 5807, 1825, 341, 1464, 269, 1280, 3236, 267, 2870, 513, 1507, 4884, 1141, 9490, 20825, 4755, 4749, 8591, 6106, 540, 6988, 1247, 4509, 606, 2011, 540, 9658, 1097, 4478, 519, 3844, 9814, 563, 274, 269, 18366, 281, 28038, 4835, 543, 5007, 7526, 4412, 1564, 519, 4729, 4464, 543, 7512, 1915, 2208, 269, 5871, 2959, 540, 4655, 1331, 6848, 6788, 267, 11509, 1303, 4120, 906, 267, 22686, 13800, 267, 543, 2123, 21140, 16109, 689, 12242, 562, 2137, 630, 324, 3052, 1421, 13326, 8103, 609, 1655, 658, 26756, 1916, 275, 269, 2622, 20761, 281, 20472, 532, 20310, 10600, 3340, 3007, 547, 1469, 543, 25843, 269, 3117, 626, 1836, 7311, 3652, 12044, 16750, 9259, 5849, 9266, 11144, 543, 10597, 5467, 6278, 780, 23322, 4886, 912, 17730, 1134, 25454, 3197, 19329, 3695, 741, 18144, 267, 13821, 267, 12194, 267, 3347, 267, 543, 20924, 269, 10738, 519, 5943, 540, 941, 342, 11510, 543, 6442, 1562, 267, 1896, 1883, 9270, 10836, 912, 272, 269, 26306, 281, 24167, 519, 6381, 896, 799, 3197, 6521, 2488, 5813, 883, 741, 5626, 2829, 543, 5837, 735, 13293, 269, 3657, 14759, 15427, 1594, 2863, 3320, 1282, 2407, 24262, 267, 610, 798, 3197, 4865, 2347, 1852, 286, 1215, 1281, 13346, 1764, 741, 2631, 540, 1582, 543, 4276, 547, 1866, 888, 273, 269, 5274, 640, 5288, 269, 28458, 17349, 281, 21344, 1480, 324, 7907, 1996, 2392, 2218, 21274, 5932, 3255, 585, 26126, 543, 5683, 844, 663, 2456, 269, 15766, 908, 713, 27524, 30315, 12651, 2055, 3823, 13919, 267, 6568, 267, 8296, 267, 543, 14699, 563, 274, 269, 17716, 281, 10289, 14375, 6384, 3091, 3407, 4030, 883, 3197, 262, 2418, 267, 14422, 267, 543, 16426, 269, 5548, 1324, 883, 1920, 13218, 267, 17052, 267, 15180, 1845, 267, 543, 32741, 8761, 13857, 28402, 540, 14017, 267, 3972, 267, 20729, 531, 267, 543, 2648, 563, 275, 269, 9608, 2208, 281, 28304, 14488, 11479, 1915, 4720, 543, 19156, 519, 2956, 540, 6043, 267, 8990, 267, 543, 9542, 269, 1306, 3197, 13720, 9465, 543, 11457, 267, 789, 1831, 811, 11541, 543, 12300, 780, 763, 6996, 912, 31413, 6720, 553, 625, 543, 31510, 5436, 13655, 1419, 10994, 8471, 4798, 899, 3961, 5250, 267, 10343, 267, 1379, 6384, 267, 543, 4947, 6361, 21943, 15322, 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 ]

[ 2839, 16776, 267, 2015, 519, 1739, 2188, 912, 268, 7358, 1049, 16186, 20126, 281, 7994, 3742, 16776, 585, 1279, 24365, 9477, 543, 12809, 16776, 585, 2673, 24365, 3156, 563, 268, 20907, 4790, 571, 6493, 281, 10426, 633, 16776, 616, 811, 6578, 7888, 267, 2523, 585, 1804, 8397, 11766, 906, 563, 268, 4578, 21976, 281, 1403, 707, 3498, 3340, 1164, 1239, 4859, 610, 1483, 6066, 9477, 267, 3742, 16776, 616, 811, 5078, 563, 268, 20904, 543, 31701, 14423, 281, 6333, 519, 5826, 2838, 585, 3742, 16776, 543, 519, 5266, 5826, 6954, 2470, 540, 12809, 16776, 563, 4692, 3742, 16674, 2839, 16776, 5968, 609, 12809, 16674, 2839, 16776, 888, 5591, 267, 3742, 543, 12809, 16674, 2839, 16776, 798, 711, 5968, 609, 1142, 824, 269, 15765, 16776, 5968, 609, 16674, 2839, 3988, 1210, 741, 1378, 1379, 2707, 267, 1247, 12809, 16776, 7048, 593, 519, 5467, 779, 5365, 585, 11852, 269, 634, 2792, 568, 2141, 1063, 519, 11090, 630, 5562, 610, 12809, 264, 543, 519, 5467, 563, 6701, 3742, 16674, 2839, 16776, 4299, 676, 2825, 2175, 899, 2837, 543, 11195, 888, 8133, 267, 3742, 16674, 2839, 16776, 666, 581, 4299, 676, 3665, 2825, 2175, 269, 4400, 5210, 543, 11195, 666, 1764, 519, 6007, 1272, 543, 2949, 10342, 540, 3742, 16776, 269, 898, 779, 1271, 547, 2015, 519, 5665, 1604, 950, 8939, 16674, 2839, 16776, 585, 1808, 3156, 563, 4692, 12809, 16674, 2839, 16776, 581, 1065, 5766, 1090, 4364, 610, 32419, 888, 8133, 267, 1082, 12809, 16674, 2839, 16776, 616, 1065, 5766, 1090, 30154, 543, 666, 581, 32419, 269, 634, 2702, 547, 1065, 5766, 1090, 513, 11090, 5673, 593, 922, 1374, 543, 519, 2029, 621, 3096, 269, 901, 4183, 568, 3226, 3730, 538, 7653, 1141, 11090, 1344, 2115, 547, 581, 8242, 610, 4957, 5781, 563, 2710, 3742, 16674, 2839, 16776, 10460, 1022, 1072, 610, 3106, 4220, 1813, 547, 741, 9075, 888, 763, 9075, 538, 3742, 16674, 2839, 16776, 616, 3622, 2922, 543, 10460, 8766, 1072, 610, 3106, 4220, 896, 3339, 6165, 2175, 269, 1717, 267, 8741, 532, 540, 891, 9075, 3340, 1697, 5773, 547, 2057, 2825, 2800, 269, 11408, 1246, 519, 10672, 779, 4808, 585, 12871, 563, 3674, 621, 2009, 547, 2333, 519, 2039, 540, 12809, 16674, 2839, 16776, 888, 763, 2039, 540, 12809, 16674, 2839, 16776, 666, 581, 2799, 676, 1210, 811, 3532, 3988, 610, 676, 17306, 519, 11090, 779, 19215, 1374, 269, 1717, 267, 519, 2039, 568, 1869, 3335, 1447, 982, 602, 540, 3742, 16674, 2839, 16776, 269, 634, 4890, 2333, 538, 2039, 5673, 593, 1896, 2188, 267, 1519, 519, 4908, 540, 519, 16674, 2839, 1062, 543, 2825, 2175, 563, 4692, 3742, 16674, 2839, 16776, 581, 1031, 547, 3950, 1004, 585, 3354, 5301, 888, 8133, 267, 789, 666, 581, 1031, 585, 9477, 1004, 538, 1978, 3354, 3156, 267, 971, 607, 538, 1164, 5498, 2579, 6703, 610, 585, 3461, 9477, 538, 10506, 269, 1717, 267, 519, 946, 540, 16674, 2839, 2029, 585, 9477, 2043, 12651, 7834, 4145, 543, 1058, 581, 14059, 609, 6297, 7156, 540, 5683, 543, 3656, 6286, 563, 763, 3903, 1063, 3742, 543, 12809, 16674, 2839, 16776, 5673, 7361, 593, 1808, 2115, 543, 8658, 269, 15765, 16776, 267, 609, 741, 3476, 2039, 543, 2362, 1239, 4390, 267, 616, 5078, 585, 7653, 8506, 1483, 6066, 9477, 936, 3677, 2127, 563, 1103, 4334, 267, 12809, 16776, 616, 811, 6578, 7888, 543, 4998, 585, 2673, 24365, 3156, 899, 11891, 2359, 269, 1635, 5402, 6236, 891, 2188, 267, 596, 666, 10244, 519, 2407, 1761, 540, 16674, 2839, 2029, 547, 3986, 4398, 543, 6111, 538, 707, 4238, 269, 0, 2252, 596, 4076, 2479, 9289, 875, 547, 6707, 1332, 543, 1416, 585, 536, 976, 2967, 4054, 13964, 267, 596, 4076, 2097, 547, 519, 1318, 1747, 269, 769, 713, 2376, 267, 649, 786, 2263, 519, 1898, 4388, 543, 2553, 602, 786, 948, 596, 2490, 707, 9205, 2230, 883, 513, 25113, 585, 891, 15999, 20538, 4054, 269, 3245, 7446, 519, 1318, 4087, 547, 3246, 519, 4998, 2175, 585, 2208, 267, 649, 3580, 3391, 596, 1900, 676, 1900, 593, 707, 3460, 547, 4742, 513, 9952, 536, 976, 2967, 32529, 269, 1924, 267, 10544, 707, 12202, 2645, 543, 1205, 4712, 547, 7832, 593, 713, 14785, 543, 16180, 7045, 2336, 24400, 519, 9406, 645, 976, 2967, 10326, 454, 2691, 621, 2501, 547, 7446, 519, 1318, 536, 976, 2967, 3529, 267, 972, 616, 1896, 2188, 547, 2015, 269, 3689, 543, 19466, 267, 596, 991, 547, 1382, 1114, 536, 976, 2967, 8677, 269, 1703, 616, 9118, 3681, 2139, 267, 543, 1142, 3099, 814, 922, 1378, 2189, 4162, 269, 6875, 519, 942, 547, 2263, 1114, 2249, 543, 741, 1808, 1416, 4170, 547, 1265, 519, 835, 602, 17015, 707, 7375, 543, 12202, 5759, 563, 5194, 2629, 2460, 547, 2015, 568, 2916, 17356, 269, 645, 976, 2967, 4054, 723, 1808, 2837, 543, 11195, 4170, 267, 865, 621, 779, 1898, 547, 2824, 513, 3529, 2249, 602, 666, 8853, 538, 707, 2916, 269, 2368, 536, 976, 2967, 8677, 616, 1732, 14018, 585, 3636, 543, 18519, 5054, 267, 1247, 1866, 666, 20496, 21617, 5210, 269, 4197, 707, 2199, 2916, 786, 948, 2327, 519, 15325, 543, 1072, 540, 707, 536, 976, 2967, 3529, 563, 15563, 267, 596, 991, 547, 6218, 875, 519, 12119, 2242, 538, 707, 1858, 1522, 1764, 707, 536, 976, 2967, 3529, 269, 2368, 2249, 616, 811, 22537, 547, 12119, 2242, 267, 1247, 1866, 949, 2154, 811, 1416, 543, 3007, 1282, 1978, 12405, 269, 6333, 519, 15088, 538, 2837, 267, 7943, 267, 543, 11811, 2429, 519, 1032, 1354, 1818, 707, 3803, 3375, 563, 15675, 532, 519, 26758, 19715, 454, 5629, 596, 723, 6074, 519, 1318, 536, 976, 2967, 3529, 267, 621, 779, 942, 547, 1265, 519, 3501, 5544, 585, 621, 538, 707, 9205, 2230, 269, 634, 4087, 596, 2824, 786, 3648, 1764, 519, 1072, 543, 1646, 540, 707, 536, 976, 2967, 563, 20058, 267, 2015, 519, 7943, 4170, 540, 707, 536, 976, 2967, 3529, 269, 4107, 2249, 2154, 513, 1434, 2179, 540, 7943, 269, 1717, 267, 930, 8677, 1522, 4782, 9864, 12094, 267, 2523, 952, 596, 2661, 538, 513, 3905, 2916, 269, 3550, 602, 519, 6074, 4087, 11392, 519, 3617, 2179, 540, 7943, 585, 707, 1808, 536, 976, 2967, 2249, 563, 28406, 532, 707, 536, 976, 2967, 3529, 689, 3665, 4365, 2175, 568, 849, 2629, 269, 670, 6702, 12798, 267, 15470, 267, 610, 1085, 528, 4221, 3002, 666, 3441, 610, 1256, 6146, 707, 10475, 536, 976, 2967, 269, 4855, 513, 4087, 602, 3091, 930, 2067, 4027, 689, 971, 26037, 267, 971, 607, 11093, 707, 3529, 2282, 513, 3774, 610, 896, 519, 12094, 540, 513, 3677, 2030, 610, 2497, 563, 1103, 1840, 547, 7943, 543, 4365, 4027, 267, 2842, 4598, 568, 1776, 3815, 547, 2015, 269, 16200, 12798, 666, 3362, 3819, 856, 707, 536, 976, 2967, 3529, 610, 2014, 621, 547, 547, 653, 548, 936, 269, 19024, 707, 536, 976, 2967, 538, 513, 4087, 602, 2488, 930, 2067, 2842, 19874, 267, 971, 607, 513, 20545, 610, 513, 1899, 540, 26965, 269, 901, 786, 948, 13104, 707, 3529, 689, 7050, 2842, 543, 2226, 922, 1072, 543, 6617, 563, 1607, 3239, 568, 3959, 540, 2592, 269, 12584, 680, 1662, 2593, 563, 27609, 532, 519, 14606, 454, 6524, 29238, 707, 536, 976, 2967, 3529, 267, 596, 991, 547, 5265, 5965, 519, 3037, 269, 645, 976, 2967, 3037, 5888, 568, 2629, 585, 519, 2635, 2208, 543, 1646, 540, 519, 3529, 269, 4197, 519, 1697, 3037, 5888, 786, 1450, 596, 547, 1683, 519, 2556, 5567, 267, 12775, 267, 543, 513, 3130, 585, 707, 536, 976, 2967, 563, 4407, 972, 616, 840, 2173, 12089, 536, 976, 2967, 11934, 2139, 538, 519, 2344, 267, 1082, 4810, 536, 976, 2967, 12439, 3442, 547, 3575, 741, 1378, 3037, 269, 17186, 532, 707, 1378, 536, 976, 2967, 3037, 3947, 596, 811, 1852, 936, 922, 5888, 543, 2636, 596, 547, 20688, 621, 547, 519, 1808, 2115, 540, 707, 3529, 269, 634, 4998, 536, 976, 2967, 3037, 568, 1134, 1673, 20995, 855, 25601, 2614, 7509, 585, 519, 5072, 547, 10110, 563, 2252, 596, 4782, 13418, 610, 616, 1007, 547, 536, 976, 2967, 1416, 267, 1210, 840, 2173, 12089, 536, 976, 2967, 3037, 666, 581, 513, 1390, 4781, 269, 1452, 840, 2173, 12089, 11934, 616, 4481, 19775, 547, 2743, 519, 4170, 540, 536, 976, 2967, 4054, 543, 1419, 2270, 5214, 2339, 267, 971, 607, 24435, 21263, 610, 11003, 267, 547, 1683, 1898, 5567, 563, 22025, 1154, 543, 3115, 31857, 454, 24400, 519, 1318, 536, 976, 2967, 1494, 568, 711, 1175, 827, 15312, 282, 621, 849, 4249, 513, 4105, 1909, 538, 519, 2949, 1072, 543, 2208, 540, 707, 3529, 269, 589, 536, 976, 2967, 1494, 1058, 581, 14013, 21092, 267, 1683, 5140, 12775, 267, 543, 1450, 6190, 4055, 585, 519, 3529, 779, 5072, 547, 1332, 269, 6333, 519, 2450, 543, 2085, 540, 707, 536, 976, 2967, 3529, 950, 8939, 513, 1494, 267, 607, 1114, 8677, 2154, 8795, 1494, 7306, 563, 19187, 29238, 2553, 616, 2629, 585, 519, 1134, 5630, 540, 707, 536, 976, 2967, 3529, 269, 3399, 676, 8720, 519, 12775, 9475, 609, 17450, 610, 513, 1507, 4062, 540, 9584, 547, 2061, 3037, 689, 29400, 269, 8921, 267, 1039, 513, 4494, 540, 536, 976, 2967, 3037, 547, 519, 5377, 540, 519, 1494, 1354, 5402, 17568, 519, 3529, 779, 5072, 593, 1283, 269, 19130, 519, 6967, 2230, 609, 519, 3037, 267, 4180, 602, 972, 616, 1100, 2011, 22836, 563, 11847, 31857, 568, 606, 1898, 2460, 540, 536, 976, 2967, 1416, 269, 1306, 707, 536, 976, 2967, 3529, 9428, 267, 922, 5072, 786, 2154, 811, 4055, 547, 4228, 269, 3115, 31857, 2636, 596, 547, 32566, 519, 5072, 267, 29295, 519, 3037, 267, 543, 3895, 2635, 2208, 269, 634, 4908, 540, 1065, 31857, 5673, 593, 519, 2249, 543, 519, 2208, 2557, 540, 707, 3529, 269, 13575, 267, 1065, 31857, 1169, 1079, 547, 2947, 1296, 568, 5227, 563, 12850, 532, 543, 9966, 7190, 454, 19187, 14450, 568, 2629, 585, 519, 1072, 543, 21755, 540, 707, 536, 976, 2967, 3529, 269, 4197, 707, 536, 976, 2967, 779, 14450, 2115, 568, 1898, 547, 2061, 1312, 896, 543, 936, 21226, 532, 563, 289, 976, 2967, 4054, 723, 1808, 1216, 4170, 267, 543, 789, 949, 4268, 4470, 593, 519, 2249, 267, 2450, 540, 519, 3529, 267, 543, 2916, 269, 2368, 536, 976, 2967, 4054, 4782, 513, 9793, 2179, 540, 1216, 267, 1247, 1866, 2154, 811, 7928, 14450, 269, 3194, 532, 707, 1808, 536, 976, 2967, 3099, 786, 948, 596, 3313, 519, 4998, 14450, 8430, 563, 31535, 950, 547, 1216, 707, 536, 976, 2967, 568, 8449, 1271, 269, 5502, 540, 23578, 547, 513, 14461, 8430, 267, 621, 779, 1655, 547, 7048, 593, 519, 7509, 1377, 540, 519, 3037, 269, 25529, 707, 9416, 827, 606, 10759, 883, 519, 3037, 267, 543, 952, 621, 7959, 3819, 267, 621, 779, 942, 547, 1216, 519, 3529, 269, 2201, 519, 824, 1688, 267, 952, 519, 3037, 7959, 9846, 5848, 267, 3180, 1055, 593, 14450, 547, 2057, 936, 1606, 4405, 566, 563, 31010, 6099, 11195, 2157, 1472, 707, 536, 976, 2967, 568, 849, 1898, 269, 645, 976, 2967, 4054, 8853, 538, 606, 1604, 609, 9793, 11195, 269, 1411, 666, 2333, 11195, 1472, 707, 536, 976, 2967, 676, 5134, 532, 621, 609, 1216, 3232, 610, 11093, 513, 26745, 540, 1216, 2282, 519, 3529, 547, 1683, 930, 7509, 547, 519, 2011, 563, 293, 23459, 1944, 543, 715, 19153, 454, 19187, 6484, 568, 1883, 547, 519, 2635, 2208, 543, 1646, 540, 707, 536, 976, 2967, 3529, 269, 645, 976, 2967, 4054, 1332, 538, 1507, 17428, 543, 616, 711, 6534, 547, 513, 5318, 2179, 540, 3037, 269, 4475, 267, 621, 779, 2629, 547, 1683, 873, 609, 519, 2556, 5567, 998, 1697, 22289, 563, 24400, 519, 1318, 536, 976, 2967, 13226, 568, 2629, 585, 519, 2949, 1072, 540, 707, 3529, 269, 645, 976, 2967, 18168, 616, 4481, 19775, 547, 2743, 519, 8770, 4170, 540, 891, 20538, 4054, 269, 6733, 585, 513, 7059, 13226, 602, 3568, 1898, 2609, 971, 607, 9436, 630, 301, 1070, 16903, 630, 303, 1070, 543, 11379, 630, 298, 1040, 1452, 5567, 3895, 2635, 2208, 543, 2087, 519, 3529, 779, 2949, 6043, 563, 763, 4908, 543, 12557, 540, 22289, 4096, 593, 519, 1808, 536, 976, 2967, 2249, 543, 519, 1826, 540, 13226, 596, 616, 1210, 269, 13575, 267, 8023, 707, 536, 976, 2967, 609, 513, 29809, 13226, 2899, 1169, 1079, 547, 2185, 4374, 1282, 519, 3395, 4005, 568, 5227, 269, 1717, 267, 621, 779, 1898, 547, 1246, 519, 5528, 593, 519, 13226, 11183, 543, 4188, 519, 4908, 2687, 547, 519, 1808 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3724, 547, 1153, 1101, 3446, 3211, 9236, 13212, 476, 273, 7857, 2338, 543, 476, 274, 563, 867, 1359, 476, 275, 7857, 2338, 4928, 11580, 9236, 476, 273, 3211, 543, 563, 16451, 3211, 5399, 4647, 543, 1820, 593, 9236, 476, 273, 7857, 2338, 476, 274, 563, 1260, 1706, 532, 543, 19280, 476, 275, 7857, 2338, 3211, 10203, 476, 274, 476, 273, 476, 272, 560, 3446, 563, 1260, 1706, 532, 1614, 7857, 2338, 4976, 2534, 6656, 3014, 476, 273, 3211, 543, 476, 274, 563, 14079, 476, 275, 2979, 3211, 9236, 2338, 4647, 873, 543, 2119, 547, 476, 273, 7857, 19280, 563, 1260, 1706, 532, 1079, 7857, 2338, 5162, 4976, 476, 273, 3211, 543, 19280, 563, 1260, 1706, 532, 476, 274, 7857, 2338, 3211, 476, 273, 1079, 1101, 3446, 563, 1260, 1706, 532, 1079, 7857, 2338, 1101, 3446, 3211, 476, 273, 543, 19280, 563, 14079, 476, 274, 13004, 3211, 476, 276, 7857, 2338, 9236, 476, 273, 543, 563, 6420, 2979, 17142, 1863, 29560, 609, 7508, 1039, 1742, 811, 543, 1447, 476, 274, 9236, 476, 273, 7857, 2338, 3211, 563, 14079, 476, 274, 13004, 3211, 476, 275, 7857, 2338, 6476, 540, 9236, 476, 273, 543, 563, 273, 476, 275, 3211, 9236, 1614, 7857, 2338, 12408, 476, 274, 543, 563, 1260, 1706, 532, 2338, 3211, 3446, 543, 19280, 476, 273, 7857, 476, 272, 560, 563, 4118, 3211, 585, 3446, 9236, 2338, 476, 273, 7857, 476, 272, 560, 563, 14140, 3446, 3211, 585, 5614, 2979, 9236, 476, 273, 7857, 2338, 1079, 563, 4103, 18694, 9236, 2338, 476, 273, 7857, 3211, 476, 272, 560, 3446, 563, 24030, 518, 982, 543, 1447, 3211, 9236, 476, 273, 7857, 2338, 476, 272, 560, 3446, 563, 1260, 1706, 532, 835, 7857, 2338, 4976, 9656, 519, 1655, 476, 273, 3211, 543, 19280, 563, 1260, 1706, 532, 2338, 3211, 3446, 476, 273, 7857, 1079, 1101, 563, 24030, 518, 982, 543, 1447, 3211, 21630, 9236, 476, 273, 7857, 2338, 476, 274, 563, 1260, 1706, 532, 1079, 7857, 2338, 4976, 3872, 2200, 543, 811, 476, 273, 3211, 476, 274, 563, 4818, 732, 1079, 476, 274, 7857, 2338, 1210, 1747, 1871, 10096, 689, 9236, 476, 273, 3211, 543, 563, 1260, 1706, 532, 2338, 476, 273, 7857, 3211, 4305, 6486, 543, 476, 274, 563, 14079, 476, 275, 13004, 2200, 9236, 543, 19280, 476, 276, 476, 277, 7857, 476, 273, 2338, 3211, 563, 14140, 3446, 9236, 4976, 835, 2985, 3211, 19280, 543, 476, 273, 7857, 2338, 476, 274, 563, 2897, 1871, 19280, 476, 273, 7857, 2338, 4976, 2534, 6656, 9236, 3211, 1079, 1101, 3446, 563, 342, 5793, 3446, 1100, 3341, 2979, 3211, 838, 539, 3490, 9236, 476, 273, 7857, 2338, 1079, 1101, 563, 330, 1749, 9236, 1079, 543, 1614, 7857, 2338, 3211, 4976, 476, 273, 476, 274, 563, 1260, 1706, 532, 2338, 3211, 15813, 476, 273, 7857, 476, 272, 560, 3446, 269, 0, 15463, 6457, 543, 2295, 1185, 741, 1753, 267, 607, 621, 941, 267, 538, 9390, 4025, 267, 1141, 1352, 887, 3139, 607, 11884, 607, 519, 3552, 4095, 538, 1010, 18137, 269, 19716, 267, 4807, 267, 23524, 1148, 18177, 585, 713, 256, 5776, 596, 1934, 267, 543, 1577, 803, 2196, 543, 6952, 621, 269, 769, 634, 25753, 2280, 14594, 267, 26637, 1408, 8316, 25079, 2982, 519, 5467, 519, 4539, 540, 1373, 851, 540, 606, 15490, 2078, 269, 634, 21569, 518, 267, 1310, 721, 17518, 1864, 883, 519, 4055, 267, 7283, 513, 4090, 267, 14952, 1782, 693, 519, 13354, 9602, 602, 4553, 1010, 13675, 282, 585, 670, 6856, 623, 787, 333, 928, 1185, 5612, 1831, 607, 1869, 607, 2669, 267, 4352, 519, 1126, 4797, 547, 4779, 534, 269, 26637, 1408, 8316, 628, 1941, 525, 3209, 634, 25753, 2280, 14594, 568, 827, 513, 29752, 4807, 267, 670, 6856, 623, 787, 333, 928, 267, 543, 1200, 6560, 547, 8237, 689, 2486, 538, 1931, 547, 2661, 519, 15962, 1272, 1352, 814, 2141, 4941, 269, 1284, 786, 723, 513, 1753, 543, 11642, 728, 540, 938, 1378, 282, 543, 23524, 695, 5306, 1694, 2390, 1010, 12597, 282, 543, 646, 786, 4001, 26899, 1082, 1919, 267, 543, 2648, 26899, 632, 8765, 269, 16828, 267, 670, 6856, 623, 787, 333, 928, 12679, 1206, 782, 519, 12918, 1996, 1934, 1813, 547, 1200, 563, 4415, 9350, 543, 8247, 22987, 267, 646, 5433, 1200, 13942, 267, 6743, 883, 1200, 4064, 267, 1765, 320, 22401, 602, 1500, 1200, 2295, 16756, 543, 695, 644, 1457, 267, 1317, 865, 5432, 267, 543, 2943, 865, 9490, 543, 4411, 267, 1765, 663, 267, 6368, 267, 13854, 609, 1010, 7634, 267, 8399, 539, 547, 544, 17532, 1776, 1951, 9853, 269, 3973, 1352, 3217, 621, 1055, 950, 1352, 4422, 547, 2342, 547, 1376, 513, 1007, 1272, 269, 634, 25243, 4484, 729, 1200, 1780, 1636, 883, 4525, 1141, 824, 2021, 546, 1563, 711, 25500, 269, 14717, 3112, 1491, 621, 1055, 269, 16874, 513, 812, 2938, 2025, 23011, 932, 3739, 10290, 267, 693, 602, 4090, 540, 1010, 3235, 560, 6470, 267, 646, 1131, 723, 1185, 1100, 991, 547, 2307, 875, 30616, 735, 2176, 5128, 950, 513, 10475, 1480, 9997, 568, 4503, 547, 13140, 267, 543, 4465, 883, 1010, 10806, 269, 670, 6856, 623, 787, 333, 928, 267, 3627, 12736, 6605, 267, 26637, 1408, 8316, 25079, 476, 15686, 276, 9293, 476, 275, 9664, 29526, 538, 634, 25753, 2280, 14594, 769, 1010, 476, 6977, 272, 3209, 267, 634, 25753, 2280, 14594, 267, 26637, 1408, 8316, 25079, 25361, 1169, 2460, 540, 519, 1650, 609, 13513, 269, 14732, 670, 8553, 8657, 267, 670, 6856, 623, 787, 333, 928, 267, 3627, 12736, 6605, 476, 11793, 276, 9293, 476, 274, 9664, 1234, 3164, 526, 14880, 17435, 6996, 23014, 2904, 476, 2190, 267, 476, 13932, 273, 1306, 1352, 11542, 593, 519, 21934, 1245, 267, 1250, 4064, 941, 530, 2632, 547, 29506, 1125, 1200, 689, 2212, 547, 23179, 282, 519, 23666, 4369, 267, 519, 22406, 5898, 540, 1200, 2934, 575, 548, 3139, 896, 519, 544, 1342, 599, 3141, 563, 4517, 267, 602, 23524, 949, 560, 2661, 267, 1491, 1055, 713, 1951, 9853, 269, 1261, 3081, 547, 1200, 267, 538, 4395, 540, 519, 15624, 281, 1412, 296, 5279, 26899, 547, 3717, 856, 519, 2012, 540, 16815, 8284, 1606, 27903, 543, 8284, 1606, 4428, 19907, 256, 269, 898, 949, 581, 602, 267, 950, 649, 29709, 938, 2696, 267, 910, 950, 649, 26991, 938, 27527, 1142, 585, 519, 824, 781, 9997, 267, 910, 621, 729, 1287, 576, 1721, 628, 642, 664, 547, 4126, 602, 649, 1223, 2743, 1934, 12898, 267, 538, 606, 2479, 331, 8463, 543, 6986, 22653, 542, 269, 17435, 6996, 23014, 1732, 1413, 547, 621, 610, 1010, 5609, 786, 581, 14733, 538, 1857, 269, 4595, 649, 723, 711, 2413, 1242, 519, 1257, 267, 649, 2303, 596, 581, 6297, 1354, 556, 6748, 930, 540, 8316, 25079, 781, 2895, 24191, 1913, 269, 5637, 17435, 6996, 23014, 543, 932, 3739, 10290, 7985, 9308, 538, 519, 1433, 267, 543, 741, 2168, 7985, 902, 2992, 593, 519, 1533, 540, 741, 5289, 30441, 563, 3891, 729, 9363, 538, 519, 7890, 267, 711, 1317, 646, 729, 16143, 540, 1022, 6760, 267, 855, 1152, 2394, 519, 4012, 626, 6233, 543, 519, 4095, 8783, 338, 1223, 3858, 593, 519, 3902, 540, 1010, 26030, 269, 769, 6240, 13513, 568, 849, 6719, 998, 824, 1919, 543, 3197, 267, 552, 269, 634, 2295, 267, 1818, 3294, 16944, 540, 971, 11580, 267, 1590, 829, 4403, 3180, 873, 267, 2394, 519, 1554, 950, 782, 6456, 1919, 4927, 581, 7000, 269, 1358, 2219, 713, 729, 513, 20585, 8945, 2094, 519, 14012, 568, 269, 3657, 1250, 5301, 530, 2632, 547, 581, 865, 13719, 286, 1520, 2381, 3563, 713, 1951, 9853, 267, 4061, 267, 609, 555, 710, 1378, 1688, 269, 594, 723, 9039, 547, 2285, 26899, 256, 769, 519, 4104, 6429, 267, 17435, 6996, 23014, 10423, 569, 30877, 602, 646, 568, 1480, 543, 1058, 2307, 19807, 543, 798, 4050, 766, 16175, 269, 901, 3947, 519, 3988, 513, 1732, 1620, 540, 519, 3197, 543, 1018, 789, 616, 4743, 563, 300, 996, 3855, 23524, 1148, 1932, 3735, 256, 26681, 596, 267, 6862, 519, 1071, 539, 6002, 596, 3838, 621, 609, 786, 581, 2111, 547, 9156, 621, 1586, 269, 634, 1257, 568, 711, 20582, 547, 519, 1318, 14345, 519, 1482, 1259, 607, 538, 519, 3312, 269, 8422, 1713, 6698, 689, 634, 25753, 2280, 14594, 1331, 281, 23421, 267, 670, 6856, 267, 543, 634, 11206, 269, 26637, 1408, 8316, 25079, 28420, 713, 4655, 998, 1010, 3209, 267, 634, 25753, 2280, 14594, 269, 634, 6633, 10077, 689, 10472, 32107, 950, 621, 646, 4705, 5828, 6505, 2699, 267, 3976, 519, 1268, 342, 648, 513, 25753, 2280, 14594, 593, 741, 30432, 585, 519, 1964, 540, 741, 1272, 1211, 4328, 873, 607, 513, 7803, 543, 1018, 741, 6760, 729, 269, 634, 1257, 568, 5258, 883, 3184, 6119, 585, 10375, 1569, 269, 2334, 5609, 729, 13277, 6670, 543, 585, 22867, 971, 513, 5609, 1200, 10751, 729, 1857, 1208, 559, 2747, 538, 519, 1106, 540, 513, 25243, 4484, 513, 12816, 2390, 1200, 536, 657, 558, 563, 1103, 1840, 547, 1480, 16950, 543, 18354, 267, 519, 3209, 8761, 11375, 636, 2033, 10751, 543, 25711, 689, 519, 2229, 543, 4961, 269, 1635, 4758, 803, 713, 8781, 25711, 547, 7703, 2390, 1250, 6089, 256, 22353, 267, 1010, 8748, 28005, 976, 616, 3365, 7596, 539, 676, 782, 585, 513, 2601, 1010, 19700, 1810, 1405, 1174, 281, 16429, 543, 989, 3415, 723, 13087, 519, 7214, 16159, 15902, 3563, 547, 5431, 543, 26003, 1125, 609, 824, 5609, 2996, 269, 898, 729, 513, 942, 540, 2021, 4358, 547, 1118, 741, 9739, 4862, 593, 513, 1804, 4336, 267, 607, 519, 1101, 2021, 781, 2924, 15007, 729, 693, 7354, 29132, 22484, 267, 1715, 3840, 267, 538, 476, 7277, 279, 269, 1261, 568, 4617, 538, 519, 2631, 602, 646, 524, 10183, 538, 9658, 1097, 543, 2833, 4797, 2463, 1247, 670, 6856, 568, 26723, 2350, 1242, 267, 610, 16934, 267, 689, 519, 2146, 269, 1703, 616, 1082, 6698, 538, 519, 1433, 267, 763, 6698, 782, 723, 2495, 267, 799, 948, 519, 5467, 547, 979, 4514, 538, 519, 1257, 269, 3571, 16203, 22655, 693, 1864, 1498, 267, 543, 1010, 1582, 268, 1002, 1042, 4991, 7168, 23892, 269, 1261, 729, 4535, 26637, 1408, 670, 987, 11448, 267, 855, 2663, 4957, 1010, 2012, 547, 563, 763, 1034, 6654, 3090, 568, 519, 25243, 4484, 589, 269, 1546, 4177, 621, 4422, 267, 543, 4514, 267, 883, 519, 19069, 267, 1447, 10750, 569, 547, 581, 2938, 693, 1169, 1900, 256, 901, 6249, 540, 25863, 568, 7494, 1644, 547, 519, 840, 12329, 267, 23011, 17435, 6996, 23014, 267, 4171, 1272, 5555, 25856, 1472, 713, 2856, 269, 670, 6856, 2760, 7000, 1010, 3961, 547, 519, 4884, 269, 634, 1292, 1915, 670, 6856, 623, 787, 333, 928, 568, 1318, 538, 519, 1647, 540, 782, 540, 891, 1919, 267, 2059, 609, 1373, 538, 519, 1647, 540, 513, 22586, 2078, 609, 1200, 9393, 269, 634, 811, 646, 23119, 267, 519, 1732, 1010, 28005, 976, 1831, 269, 1809, 670, 6856, 11129, 1279, 3516, 547, 723, 2944, 609, 713, 21440, 269, 7439, 1705, 1010, 1629, 6756, 712, 1689, 267, 950, 519, 15639, 540, 519, 7890, 268, 24010, 2451, 1864, 3068, 547, 3068, 609, 519, 4807, 267, 4171, 12842, 5469, 540, 1864, 267, 538, 519, 15624, 267, 1185, 12932, 730, 865, 2673, 513, 6935, 1063, 5128, 543, 1200, 563, 310, 699, 594, 17709, 547, 581, 16718, 540, 621, 267, 621, 1131, 2887, 2476, 540, 922, 1378, 2470, 267, 610, 581, 9927, 883, 1945, 602, 1058, 3717, 513, 1114, 1625, 1636, 269, 5590, 538, 27867, 10601, 8830, 11939, 12590, 267, 519, 3209, 7740, 1472, 519, 911, 341, 5661, 540, 670, 6856, 623, 787, 333, 928, 267, 945, 3947, 4332, 547, 8250, 23421, 1310, 606, 13277, 614, 748, 26035, 269, 3571, 2012, 729, 9307, 607, 23011, 932, 3739, 10290, 269, 14732, 670, 8553, 8657, 267, 670, 6856, 623, 787, 333, 928, 267, 3627, 12736, 6605, 476, 14056, 280, 9293, 476, 274, 9664, 1174, 3197, 610, 2796, 538, 513, 1114, 1259, 269, 1306, 1010, 851, 568, 6854, 5728, 267, 646, 18854, 1667, 2476, 689, 1010, 1582, 268, 1002, 1042, 543, 932, 3739, 10290, 781, 8731, 618, 563, 11997, 267, 1175, 607, 621, 3576, 5722, 2395, 547, 1711, 1945, 1390, 267, 621, 3576, 5722, 1296, 547, 7866, 1945, 1390, 269, 670, 6856, 2965, 31273, 519, 25753, 2280, 14594, 689, 519, 1554, 1352, 568, 2322, 593, 519, 21934, 1245, 2394, 1352, 7654, 4422, 547, 2342, 543, 3217, 621, 1055, 267, 1287, 1352, 2501, 1394, 4805, 543, 7024, 547, 1200, 2025, 2777, 543, 12662, 519, 4484, 1394, 593, 267, 538, 922 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8168, 5742, 896, 19797, 9549, 4341, 563, 3719, 811, 3622, 267, 10960, 12426, 6763, 585, 1022, 1480, 2486, 267, 581, 621, 24041, 267, 24180, 267, 3673, 626, 267, 610, 21340, 10756, 1432, 568, 519, 5837, 540, 10960, 12426, 888, 3080, 540, 519, 7887, 26069, 1369, 519, 1650, 267, 543, 519, 1655, 15422, 835, 666, 581, 6829, 998, 519, 8360, 968, 20175, 4856, 4533, 338, 267, 18104, 5295, 4856, 4533, 338, 25999, 1848, 10801, 519, 3209, 267, 519, 5467, 568, 2111, 547, 1294, 19167, 519, 6477, 7930, 4742, 811, 543, 811, 18348, 539, 607, 646, 12374, 811, 1379, 563, 3963, 616, 2831, 1419, 1031, 538, 535, 1963, 888, 2414, 1174, 513, 535, 762, 267, 519, 5467, 610, 26575, 1281, 711, 991, 547, 917, 782, 827, 519, 3197, 267, 1152, 835, 1271, 3364, 269, 1280, 713, 2601, 2831, 616, 1419, 1031, 538, 535, 1963, 538, 513, 1259, 602, 568, 3362, 6956, 1317, 621, 568, 2141, 519, 1482, 269, 1358, 1832, 519, 1482, 4162, 689, 1650, 547, 1650, 563, 1432, 568, 513, 1434, 1383, 540, 513, 535, 762, 888, 5278, 540, 519, 1034, 4583, 535, 1963, 1331, 281, 634, 16541, 543, 519, 18683, 269, 901, 535, 762, 568, 519, 5169, 540, 519, 8360, 968, 338, 712, 18683, 1848, 589, 16541, 838, 625, 513, 19619, 540, 18683, 1164, 909, 593, 513, 7936, 543, 6499, 873, 21354, 269, 1261, 3217, 513, 4881, 7914, 547, 3914, 873, 855, 4413, 525, 563, 1432, 568, 519, 5837, 540, 535, 762, 888, 29825, 269, 513, 2110, 9661, 547, 4001, 513, 5837, 3992, 267, 1419, 609, 2831, 610, 538, 534, 1493, 3615, 607, 3197, 282, 23294, 826, 281, 519, 535, 762, 540, 519, 12475, 18857, 543, 519, 688, 516, 282, 288, 525, 641, 779, 535, 1963, 269, 513, 1650, 711, 8547, 593, 1249, 281, 901, 12092, 568, 7361, 513, 1582, 2000, 7596, 2218, 535, 762, 563, 1432, 616, 519, 2947, 5837, 2418, 888, 2005, 1131, 4196, 2486, 1134, 952, 519, 1739, 5722, 5837, 2418, 941, 6026, 547, 1053, 538, 3506, 269, 4462, 935, 6463, 11146, 543, 9877, 1145, 269, 769, 1034, 2665, 267, 952, 596, 2648, 2576, 267, 789, 786, 2648, 596, 1394, 269, 2560, 12968, 17965, 269, 2560, 10434, 4518, 269, 2560, 21727, 585, 11524, 269, 2560, 29046, 269, 2560, 3281, 6842, 269, 2560, 1280, 326, 4369, 563, 3963, 798, 535, 1963, 946, 2831, 3079, 540, 3425, 888, 3963, 798, 2831, 4183, 865, 30326, 538, 589, 525, 641, 779, 535, 1963, 286, 2560, 4340, 547, 938, 3504, 2959, 267, 519, 535, 762, 779, 946, 540, 2831, 5097, 5713, 547, 20838, 519, 5708, 1275, 543, 1769, 1145, 540, 519, 2984, 269, 634, 1567, 2225, 540, 519, 1480, 1242, 3662, 2636, 519, 535, 762, 547, 1118, 922, 1448, 1510, 19309, 610, 29405, 532, 606, 1039, 637, 5408, 563, 1432, 616, 476, 274, 4162, 540, 513, 535, 762, 888, 23322, 2524, 540, 513, 674, 762, 293, 1963, 616, 5708, 12171, 1963, 616, 2110, 543, 723, 1906, 3197, 269, 13142, 3030, 616, 1419, 2831, 609, 1480, 10305, 269, 1358, 723, 9342, 543, 12755, 543, 616, 538, 930, 4990, 540, 4655, 12171, 1963, 616, 1175, 835, 1650, 7868, 4259, 666, 581, 9170, 6993, 3992, 610, 5837, 568, 6026, 543, 568, 3006, 7150, 693, 519, 1439, 540, 519, 1650, 563, 1432, 568, 519, 5837, 540, 589, 525, 641, 779, 535, 762, 888, 763, 5837, 1107, 11565, 707, 2828, 936, 707, 14763, 543, 602, 972, 568, 4222, 538, 9322, 269, 634, 1483, 5837, 1107, 6733, 4514, 883, 713, 535, 762, 543, 1413, 693, 519, 2474, 2828, 543, 535, 3996, 513, 2370, 8335, 982, 596, 2356, 1131, 269, 3371, 267, 2828, 1611, 1004, 609, 2147, 5784, 543, 535, 3996, 616, 1346, 945, 8428, 563, 1432, 568, 519, 3992, 693, 519, 1439, 540, 513, 535, 762, 1572, 888, 288, 535, 762, 568, 513, 1650, 602, 2934, 2831, 267, 2371, 610, 4229, 540, 2470, 799, 616, 10236, 14521, 2213, 630, 326, 1508, 1480, 7907, 1040, 589, 535, 762, 2141, 7475, 609, 513, 2048, 332, 7394, 9957, 901, 568, 519, 3992, 602, 568, 5497, 547, 581, 19927, 998, 2542, 519, 1650, 269, 2290, 540, 519, 1034, 4583, 535, 1963, 568, 634, 670, 732, 543, 519, 32202, 18857, 563, 1432, 568, 519, 6456, 5048, 538, 10960, 12426, 888, 7775, 6202, 779, 5048, 29808, 3988, 827, 3850, 695, 4319, 323, 267, 25796, 14761, 547, 19597, 622, 1379, 543, 7930, 1491, 2476, 3540, 2924, 543, 23118, 269, 1261, 849, 29808, 3988, 827, 519, 1585, 2409, 540, 12879, 543, 18259, 1031, 676, 28974, 20816, 547, 1727, 816, 543, 1852, 519, 17069, 864, 563, 2710, 782, 535, 1963, 723, 26069, 888, 288, 535, 762, 568, 513, 2110, 1650, 602, 11414, 513, 3992, 610, 27711, 513, 5837, 269, 2560, 5753, 4043, 547, 1265, 713, 13267, 267, 1818, 519, 5837, 540, 519, 1650, 811, 4143, 269, 674, 1963, 616, 5702, 2404, 609, 18912, 8941, 269, 2755, 18912, 8941, 666, 849, 4183, 6158, 2831, 267, 789, 1810, 1406, 723, 547, 4183, 513, 4396, 5837, 610, 3992, 607, 535, 1963, 798, 563, 3674, 4414, 681, 4575, 32431, 513, 18912, 9661, 610, 535, 762, 888, 28012, 4414, 681, 4575, 32431, 568, 2808, 547, 581, 513, 18912, 9661, 269, 898, 568, 711, 513, 535, 762, 269, 589, 535, 762, 568, 2966, 547, 4001, 513, 1808, 3992, 610, 547, 6338, 513, 5837, 607, 7498, 6701, 535, 1963, 2141, 827, 2831, 888, 293, 1963, 267, 2705, 267, 616, 1256, 10156, 982, 18912, 8941, 269, 634, 3197, 540, 535, 1963, 616, 2141, 543, 9003, 2831, 267, 18867, 1100, 26704, 7068, 616, 3769, 269, 634, 1482, 10039, 547, 9059, 2609, 269, 22353, 267, 519, 2898, 1650, 540, 519, 535, 762, 1223, 4755, 547, 3425, 538, 1483, 1272, 563, 3963, 798, 1453, 779, 2835, 946, 2831, 888, 763, 6530, 540, 3662, 2984, 12292, 607, 3197, 267, 4061, 267, 666, 3142, 521, 650, 1465, 543, 1651, 784, 745, 640, 267, 1818, 513, 1650, 811, 11791, 269, 1809, 789, 849, 1039, 513, 4110, 540, 3929, 3845, 585, 519, 5467, 267, 799, 568, 1271, 950, 519, 1650, 5048, 568, 2123, 267, 11213, 610, 3532, 563, 1432, 10960, 12426, 11414, 721, 888, 2304, 1271, 3992, 602, 6723, 2107, 6202, 11414, 538, 10960, 12426, 568, 602, 3401, 786, 946, 741, 1379, 547, 960, 585, 741, 2123, 2744, 267, 799, 2306, 513, 2588, 26508, 2486, 7543, 269, 29665, 609, 824, 11396, 568, 593, 1259, 19167, 1568, 585, 1010, 1378, 5413, 563, 3963, 616, 535, 1963, 865, 1271, 888, 27735, 540, 674, 1963, 269, 674, 1963, 616, 15851, 5339, 3457, 1317, 540, 741, 2702, 547, 5838, 5837, 6835, 538, 513, 2241, 1259, 602, 666, 581, 6956, 543, 10150, 676, 3988, 540, 782, 6502, 269, 769, 1249, 267, 519, 535, 762, 568, 835, 540, 519, 9510, 543, 1034, 9434, 2409, 540, 1312, 2854, 543, 5711, 9423, 563, 1432, 568, 513, 535, 762, 585, 3214, 888, 288, 535, 762, 568, 513, 16168, 1650, 855, 949, 4001, 513, 3992, 610, 2303, 513, 5837, 689, 621, 269, 2560, 589, 535, 762, 6238, 538, 519, 1647, 540, 519, 1650, 267, 602, 1797, 267, 26357, 883, 519, 1292, 2680, 1510, 2143, 4367, 540, 3197, 269, 634, 3197, 540, 513, 535, 762, 949, 581, 1004, 267, 2831, 267, 10971, 267, 610, 4376, 3116, 269, 0, 2467, 616, 2185, 1114, 2010, 540, 17081, 9817, 1107, 2881, 2692, 27826, 267, 8514, 641, 1886, 267, 8514, 1993, 534, 543, 8514, 657, 3873, 1111, 563, 1432, 616, 519, 1114, 2010, 540, 3154, 17081, 9817, 888, 19177, 2010, 540, 3154, 17081, 9817, 616, 1031, 547, 4412, 601, 543, 1379, 8484, 269, 1358, 616, 519, 2881, 2692, 27826, 267, 8514, 1993, 534, 267, 8514, 641, 1886, 267, 543, 8514, 657, 3873, 1111, 563, 1432, 616, 519, 2101, 2694, 540, 3154, 17081, 2599, 888, 763, 3154, 17081, 568, 1500, 909, 540, 519, 1739, 3334, 912, 268, 1323, 2011, 26468, 563, 268, 589, 12318, 528, 563, 268, 589, 1379, 17081, 267, 799, 7472, 519, 1379, 547, 5397, 519, 2011, 26468, 543, 519, 3977, 14788, 563, 1432, 568, 8484, 17081, 2599, 888, 7197, 15191, 9817, 1031, 538, 18229, 616, 2011, 7244, 267, 30212, 2095, 267, 3154, 17081, 9817, 269, 589, 3154, 17081, 568, 513, 27414, 2599, 602, 21555, 1648, 689, 513, 2095, 540, 13674, 9362, 269, 2560, 589, 2881, 2692, 27826, 2599, 568, 1034, 3608, 950, 519, 3432, 540, 519, 8484, 602, 621, 4412, 1564, 4114, 23660, 519, 3432, 540, 519, 9688, 3154, 563, 1432, 616, 3154, 17081, 9817, 1031, 585, 888, 294, 553, 18434, 616, 1031, 547, 1379, 8484, 267, 14884, 267, 9635, 267, 5122, 18402, 267, 15450, 267, 3154, 14771, 832, 267, 543, 13688, 563, 1432, 616, 519, 1614, 1292, 3334, 540, 3154, 17081, 888, 763, 3154, 17081, 814, 1614, 2101, 6810, 267, 12077, 519, 26468, 267, 12318, 528, 543, 17081, 630, 24392, 267, 689, 513, 2326, 5133, 267, 519, 824, 2101, 5057, 2516, 1107, 23301, 267, 524, 2084, 543, 18559, 8270, 2456, 1107, 616, 849, 540, 1719, 1916, 1432, 616, 519, 3334, 540, 513, 29357, 3154, 17081, 9817, 888, 763, 3154, 17081, 2599, 15841, 593, 1034, 21484, 641, 1562, 568, 1500, 909, 540, 513, 26468, 267, 13674, 12068, 267, 17081, 267, 543, 1569, 800, 10591, 7901, 10198, 269, 634, 26468, 14405, 22012, 2011, 883, 519, 726, 523, 636, 12068, 543, 14771, 525, 621, 563, 1432, 568, 519, 2324, 6240, 540, 3154, 17081, 888, 763, 3154, 2389, 7875, 710, 13333, 593, 519, 6240, 540, 519, 645, 2001, 2023, 4783, 267, 1141, 19316, 2011, 568, 6404, 609, 4492, 267, 543, 14616, 896, 3586, 2604, 2175, 269, 634, 4611, 3905, 3154, 568, 4847, 547, 4228, 998, 513, 17081, 547, 1685, 960, 563, 1432, 616, 519, 4162, 540, 513, 3154, 17081, 888, 14611, 18567, 540, 13937, 5695, 321, 710, 543, 13937, 5422, 294, 553, 5695, 321, 710, 294, 553, 5422, 16978, 3740, 21252, 630, 299, 295, 309, 264, 3066, 268, 3451, 260, 4366, 269, 276, 268, 5392, 260, 13707, 21252, 540, 595, 4094, 3130, 630, 299, 295, 309, 264, 3199, 268, 10695, 260, 8287, 269, 276, 268, 6507, 260, 16978, 3740, 21252, 630, 8512, 658, 20509, 264, 14187, 25802, 6153, 2750, 9151, 14333, 11947, 17938, 2246, 3154, 2837, 543, 2179, 20181, 9688, 3154, 2837, 396, 499, 27569, 397, 495, 476, 278, 11012, 4344, 4814, 30718, 454, 8489, 568, 519, 5207, 2604, 538, 513, 3154, 17081, 2599, 888, 18208, 675, 568, 5207, 2901, 693, 519, 1439, 540, 519, 26468, 267, 610, 1318, 1354, 519, 1379, 17081, 3296, 269, 18323, 568, 2469, 547, 581, 519, 5207, 538, 519, 13674, 3296, 269, 1403, 621, 779, 513, 8514, 641, 1886, 267, 1287, 519, 5207, 6991, 568, 4440, 2469, 547, 581, 693, 519, 886, 12528, 563, 3963, 616, 8514, 641, 28979, 1869, 1031, 888, 13434, 760, 10635, 908, 2599, 4412, 11839, 27858, 616, 5266, 3608, 693, 1970, 31556, 543, 2011, 14588, 2644, 267, 789, 616, 811, 22237, 585, 519, 3328, 2010, 540, 2489, 18229, 19426, 269, 2560, 5695, 321, 641, 28979, 6445, 519, 4398, 7934, 1063, 25262, 908, 543, 6986, 15191, 9817, 267, 1373, 1034, 3608, 693, 4571, 31556, 543, 2011, 14588, 2644, 563, 7617, 568, 1732, 8514, 641, 1886, 610, 15191, 888, 288, 17081, 2599, 568, 5393, 1769, 543, 7472, 16854, 1379, 3562, 27954, 607, 10353, 547, 513, 13380, 25059, 2599, 269, 2560, 32591, 9817, 616, 2111, 547, 4412, 601, 519, 8484, 547, 14320, 2362, 8184, 2157, 982, 513, 8514, 641, 1886, 267, 909, 547, 519, 18919, 2412, 338, 607, 10353, 547, 519, 8514, 641, 1886, 1698, 540, 1472, 18919, 1789, 563, 1432, 568, 15191, 4492, 1500, 540, 888, 297, 564, 10173, 616, 5097, 6508, 689, 19020, 3282, 267, 519, 1455, 2012, 585, 5277, 19386, 269, 1452, 15191, 10173, 666, 581, 5219, 547, 607, 19386, 23402, 15191, 10173, 269, 32591, 10173, 666, 849, 22132, 689, 606, 5214, 1570, 1336, 538, 32549, 267, 1572, 23128, 4094, 610, 19386, 17571, 281, 602, 666, 581, 10736, 676, 3002, 547, 32549, 3282, 563, 7617, 4492, 568, 1031, 538, 3154, 17081, 888, 1692, 1281, 513, 3154, 17081, 1376, 888, 294, 553, 17081, 9817, 2097, 538, 1082, 5546, 543, 7306, 269, 2560, 634, 3167, 5179, 30809, 519, 1292, 14788, 2394, 972, 568, 2614, 2011, 25738, 998, 519, 26468, 543, 519, 13674, 12068, 547, 1769, 519, 2599, 269, 23556, 6238, 13576, 543, 606, 5337, 3438, 2147, 547, 513, 8141, 11690, 5337, 2572, 519, 4492, 563, 1432, 568, 645, 2001, 2023, 4783, 585, 3154, 17081, 888, 288, 5687, 17871, 4783, 1210, 3586, 2604, 267, 3002, 1840, 543, 18349, 269, 23556, 543, 513, 26468, 616, 1031, 547, 3002, 543, 2333 ]

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

[ 1004, 543, 824, 2831, 5968, 3842, 15700, 269, 834, 29189, 3604, 538, 22098, 538, 26068, 2792, 2668, 2073, 898, 568, 1271, 547, 4063, 602, 1247, 26068, 2792, 568, 811, 11342, 538, 7087, 1977, 18877, 267, 11913, 2792, 568, 849, 1031, 269, 16685, 3346, 543, 11132, 7215, 1683, 1271, 1514, 543, 3929, 1344, 269, 8065, 11943, 602, 9938, 12515, 1223, 2014, 21390, 1063, 4529, 607, 4529, 946, 540, 9938, 12515, 9775, 543, 1018, 568, 22232, 538, 835, 2528, 949, 2039, 689, 1373, 14845, 547, 1373, 18086, 547, 2818, 540, 513, 1114, 2528, 907, 7301, 1875, 14620, 1023, 1419, 17591, 11913, 5048, 269, 7073, 5678, 4750, 269, 1715, 19839, 1873, 1157, 281, 3690, 9146, 23255, 269, 16819, 3369, 626, 749, 681, 299, 630, 3192, 271, 1040, 898, 666, 948, 721, 3717, 543, 1224, 12531, 1510, 1620, 513, 2262, 540, 1142, 824, 781, 4654, 269, 7638, 4472, 2792, 568, 1141, 8665, 31825, 609, 519, 3593, 1210, 1913, 2864, 982, 2962, 269, 8808, 543, 13564, 3511, 640, 267, 23690, 3122, 15922, 6777, 26029, 2036, 334, 5779, 267, 1642, 6062, 854, 30028, 21189, 267, 5274, 2792, 568, 26068, 630, 5988, 476, 1220, 275, 3738, 630, 538, 4436, 3738, 568, 8665, 269, 1677, 740, 9532, 267, 12572, 17267, 616, 5497, 547, 1683, 29433, 1344, 547, 513, 11913, 5048, 602, 21039, 269, 30460, 518, 1004, 616, 9228, 607, 1373, 811, 11141, 20607, 631, 267, 30954, 22222, 17018, 638, 5028, 6751, 630, 476, 1220, 279, 3738, 607, 256, 8058, 7553, 16175, 4096, 762, 267, 543, 621, 568, 1031, 950, 14379, 609, 9164, 267, 15032, 267, 11783, 3657, 28078, 3842, 8231, 958, 610, 1875, 268, 14620, 958, 630, 476, 1220, 274, 3738, 616, 1500, 827, 610, 269, 5637, 4938, 958, 543, 609, 519, 2953, 1560, 6786, 610, 17267, 941, 811, 1582, 22306, 267, 4096, 762, 267, 543, 621, 568, 547, 269, 4107, 5432, 616, 519, 865, 10777, 900, 21793, 610, 9889, 762, 17267, 1614, 2516, 281, 930, 1688, 5322, 711, 256, 1677, 2450, 1004, 909, 798, 711, 2154, 3450, 513, 4052, 1797, 540, 2792, 267, 519, 256, 14409, 3322, 519, 5778, 31850, 8344, 1935, 547, 26068, 2792, 568, 2944, 1759, 593, 875, 13498, 269, 715, 617, 3429, 519, 2212, 568, 835, 4480, 602, 666, 948, 2087, 938, 4656, 540, 715, 31357, 4892, 1871, 3845, 547, 2933, 256, 15742, 5061, 8476, 2702, 1247, 1866, 21022, 621, 267, 519, 1259, 835, 23297, 547, 10571, 6645, 513, 2603, 835, 1862, 4437, 1162, 543, 26068, 6835, 581, 2938, 607, 513, 1129, 540, 2463, 1582, 22306, 267, 4096, 762, 267, 543, 621, 568, 547, 1862, 1656, 2796, 281, 10749, 593, 1560, 5163, 2792, 14555, 4305, 15234, 540, 21687, 256, 1656, 12572, 17267, 568, 13026, 676, 17187, 17267, 616, 8200, 2390, 15520, 7608, 7664, 543, 723, 1732, 3955, 26051, 1496, 256, 769, 811, 13016, 5468, 543, 811, 1419, 676, 1453, 13264, 1524, 519, 3334, 513, 1862, 634, 4636, 5048, 666, 849, 581, 3964, 952, 519, 1560, 1893, 24829, 1281, 711, 6474, 513, 5048, 256, 9524, 539, 1732, 543, 941, 2111, 547, 2697, 8788, 267, 18354, 543, 4250, 1732, 256, 2334, 666, 948, 721, 3717, 543, 1224, 12531, 1510, 1620, 513, 5048, 3322, 6947, 547, 519, 1862, 2334, 1063, 476, 2568, 4939, 543, 476, 3583, 4939, 540, 2792, 267, 543, 13998, 1134, 14661, 4603, 729, 5342, 538, 4055, 1862, 5824, 3013, 543, 519, 18746, 12162, 585, 6876, 3617, 585, 5432, 3347, 6920, 269, 2107, 3381, 19827, 982, 11913, 2792, 568, 26068, 267, 855, 568, 972, 1022, 5168, 547, 713, 740, 720, 476, 1220, 280, 1862, 4317, 569, 1134, 14661, 3730, 950, 16326, 26760, 16023, 602, 1004, 2901, 4865, 610, 19768, 945, 1616, 1862, 30123, 999, 543, 11132, 7215, 1683, 1271, 1514, 543, 3929, 1344, 10291, 538, 22149, 1412, 8339, 15465, 12886, 543, 26068, 6835, 1369, 519, 1482, 5872, 666, 3006, 6494, 15852, 610, 20849, 6835, 1496, 5907, 4199, 1412, 8339, 23618, 26760, 2919, 676, 543, 519, 2090, 9859, 676, 18673, 7917, 661, 269, 543, 1421, 1114, 3652, 616, 1500, 827, 31325, 610, 575, 5074, 7301, 9521, 11913, 6835, 267, 799, 1082, 1862, 12181, 1560, 1893, 267, 945, 4782, 16563, 936, 11913, 2792, 568, 26068, 267, 568, 269, 654, 267, 14480, 333, 667, 267, 8621, 1067, 661, 630, 476, 1220, 280, 3738, 1268, 1412, 338, 8226, 568, 6093, 585, 1004, 945, 1616, 256, 2334, 568, 267, 1004, 786, 1689, 741, 14302, 4470, 593, 519, 3510, 789, 616, 945, 256, 3657, 5497, 547, 1683, 29433, 1344, 547, 513, 11913, 5048, 971, 607, 11132, 7215, 267, 3159, 540, 5639, 267, 11783, 5637, 26068, 543, 11913, 10291, 616, 3730, 950, 16326, 26760, 281, 10749, 593, 5163, 1862, 661, 269, 16019, 543, 31897, 589, 269, 6276, 717, 1014, 333, 7236, 4892, 4043, 547, 3494, 519, 11913, 5048, 3661, 568, 621, 256, 6348, 16812, 29692, 8244, 538, 16326, 26760, 595, 7342, 5069, 808, 294, 630, 5181, 476, 1960, 279, 3738, 543, 1447, 22192, 4664, 269, 2986, 12572, 23972, 589, 269, 6276, 717, 1014, 333, 7236, 4463, 814, 3622, 1336, 602, 26339, 616, 1862, 1772, 13026, 676, 17187, 17267, 972, 1022, 5168, 547, 713, 740, 720, 1271, 10155, 540, 2807, 12181, 1160, 343, 12515, 538, 21676, 921, 4205, 281, 1234, 11779, 1782, 606, 6196, 8838, 545, 15234, 11913, 5048, 1419, 18783, 875, 786, 1862, 2052, 711, 1152, 2769, 707, 4555, 855, 849, 6655, 707, 15131, 543, 6612, 585, 513, 1888, 683, 826, 256, 901, 740, 720, 1004, 909, 11042, 267, 610, 8301, 11746, 19827, 267, 610, 8301, 11746, 19827, 267, 610, 8301, 19827, 256, 1656, 26068, 2623, 1496, 5907, 4199, 9948, 15234, 3013, 543, 519, 5664, 5101, 519, 11807, 3845, 568, 3617, 269, 2271, 1549, 958, 543, 4196, 513, 2312, 32705, 1599, 1569, 547, 2901, 2854, 13973, 540, 519, 20309, 540, 519, 11783, 570, 1901, 19827, 267, 610, 21046, 11603, 543, 1447, 22192, 609, 4664, 519, 5778, 31850, 8344, 1935, 547, 26068, 2792, 568, 8665, 269, 2037, 28387, 14416, 543, 6612, 585, 513, 1888, 8476, 2702, 1247, 1866, 21022, 621, 267, 1004, 1034, 2792, 568, 26068, 3020, 610, 7301, 2792, 24222, 945, 4782, 16563, 936, 11913, 2792, 5871, 3733, 2195, 543, 875, 547, 946, 621, 6356, 1947, 15234, 11132, 269, 1280, 519, 1101, 1353, 941, 1614, 4458, 29419, 972, 616, 513, 1906, 2010, 540, 17187, 28011, 2334, 17267, 616, 1031, 12181, 5606, 2397, 540, 8456, 689, 26068, 2792, 875, 1004, 543, 824, 12292, 5968, 3842, 15700, 713, 269, 8447, 5920, 540, 707, 1870, 6054, 10141, 7525, 543, 1271, 26068, 6835, 19700, 4043, 547, 1025, 1074, 513, 2603, 907, 1323, 981, 10719, 543, 519, 2495, 602, 568, 6038, 6508, 689, 621, 1271, 3853, 8236, 256, 630, 476, 1220, 274, 3738, 12886, 543, 26068, 29692, 8244, 538, 16326, 26760, 513, 1129, 540, 2463, 2808, 547, 581, 17267, 513, 1862, 13242, 538, 811, 13016, 5468, 543, 811, 1419, 676, 1453, 2226, 568, 22983, 267, 13201, 2401, 1696, 907, 3502, 2154, 3450, 543, 922, 10083, 20402, 540, 4393, 3322, 519, 5778, 31850, 8344, 1935, 547, 26068, 2792, 666, 811, 1862, 12287, 609, 519, 5048, 1373, 17814, 267, 6382, 10539, 786, 2049, 547, 1346, 26164, 873, 960, 6792, 256, 14480, 333, 667, 267, 8621, 1067, 661, 630, 476, 1220, 280, 3738, 547, 946, 621, 6356, 1947, 15234, 20309, 519, 256, 4165, 4602, 622, 875, 23700, 786, 4612, 1034, 2792, 568, 26068, 3020, 610, 7301, 19039, 1734, 1247, 538, 7489, 4529, 267, 22401, 666, 581, 1031, 2566, 1862, 2052, 1256, 581, 1759, 593, 741, 3527, 610, 741, 1560, 1893, 16362, 531, 19837, 10488, 476, 1220, 275, 3738, 630, 538, 4436, 3738, 3972, 256, 19793, 1324, 3811, 2792, 5606, 2397, 540, 8456, 689, 26068, 2792, 568, 2944, 1759, 593, 875, 4529, 13498, 519, 8574, 540, 23511, 24606, 1312, 4938, 958, 543, 609, 519, 3593, 1210, 1913, 2864, 982, 2962, 538, 1866, 621, 1862, 7756, 5573, 799, 2694, 540, 3221, 532, 616, 28078, 3842, 8231, 958, 610, 1875, 268, 14620, 958, 9948, 281, 280, 713, 256, 1772, 17941, 19427, 799, 585, 519, 1101, 1353, 941, 1614, 4458, 29419, 8200, 2390, 15520, 7608, 7664, 543, 723, 1732, 3955, 26051, 30385, 2986, 2792, 723, 585, 693, 2547, 1614, 8536, 1296, 1031, 519, 16057, 585, 269, 1403, 519, 1560, 1893, 543, 3159, 1034, 2792, 568, 26068, 3020, 610, 7301, 568, 2808, 3617, 585, 5432, 3347, 543, 6920, 804, 4923, 612, 543, 3972, 19664, 21034, 30285, 5900, 6421, 689, 26068, 2792, 666, 6655, 811, 2495, 982, 11913, 2792, 713, 4480, 729, 2919, 676, 543, 519, 5396, 29755, 3615, 267, 3527, 267, 11132, 7215, 267, 811, 982, 4376, 267, 4196, 607, 513, 1129, 540, 2463, 519, 29755, 15032, 267, 29872, 1734, 267, 610, 21046, 476, 2412, 476, 3910, 519, 30088, 22006, 543, 941, 269, 6478, 540, 1142, 824, 1299, 1948, 1535, 2767, 6902, 590, 960, 2760, 13603, 1454, 269, 16680, 902, 267, 610, 3381, 19827, 1142, 824, 1299, 1948, 1535, 2767, 6902, 590, 4654, 2390, 15520, 7608, 7664, 723, 1862, 16594, 789, 13173, 267, 654, 1329, 518, 631, 630, 949, 476, 3422, 278, 3738, 513, 267, 22804, 29755, 543, 28617, 798, 711, 2154, 3450, 1875, 7721, 335, 4809, 267, 1082, 14726, 1034, 2792, 568, 26068, 3020, 610, 7301, 519, 538, 1862, 20553, 1614, 2516, 281, 2942, 543, 2318, 1826, 540, 16133, 607, 621, 949, 581, 16819, 3369, 626, 749, 1862, 14068, 1106, 547, 1118, 513, 811, 3532, 1268, 7227, 585, 596, 789, 22378, 333, 856, 10978, 267, 1247, 538, 7489, 267, 256, 30003, 585, 1004, 945, 789, 1616, 547, 581, 602, 1554, 786, 2049, 12181, 1453, 1412, 338, 540, 269, 476, 4343, 9948, 7802, 20475, 945, 789, 1616, 547, 581, 602, 1554, 3425, 12837, 269, 4425, 821, 21512, 267, 595, 7342, 5069, 808, 294, 630, 5181, 476, 1960, 279, 3738, 16762, 540, 26760, 2808, 269, 14288, 1382, 568, 4749, 31495, 2181, 1540, 543, 3765, 21323, 538, 2835, 543, 4930, 20849, 6835, 476, 7918, 9948, 3604, 1862, 20134, 543, 2318, 835, 2460, 602, 2337, 547, 3310, 938, 7664, 540, 6835, 568, 1500, 950, 1862, 9861, 1732, 982, 4960, 2157, 267, 1034, 2792, 568, 26068, 3020, 610, 7301, 666, 581, 1031, 547, 2566, 24424, 256, 32672, 531, 8467, 543, 771, 27920, 602, 2230, 649, 2226, 568, 22983, 267, 13201, 2401, 1696, 620, 568, 17941, 19427, 11913, 10291, 3730, 269, 1411, 1131, 4440, 2015, 621, 3983, 1106, 547, 1118, 513, 811, 3532, 1268, 7227, 585, 596, 1312, 543, 269, 4256, 22242, 267, 789, 949, 12181, 4460, 15234, 741, 19039, 766, 630, 552, 3052, 12292, 676, 8176, 16817, 741, 4470, 269, 4004, 5344, 676, 17267, 543, 7215, 2182, 547, 16174, 799, 2694, 540, 3221, 532, 616, 28078, 3842, 8231, 958, 610, 1875, 268, 14620, 958, 12181, 3604, 256, 2334, 13173, 4633, 543, 616, 1644, 547, 519, 4633, 789, 13173, 1419, 18783, 875, 23700, 786, 4612, 19039, 1734, 1862, 9442, 267, 543, 621, 568, 1271, 547, 4063, 602, 17267, 616, 8200, 2390, 15520, 7608, 7664, 543, 723, 513, 11913, 269, 13139, 3278, 1702, 835, 949, 723, 540, 1978, 4607, 17915, 593, 17267, 6818, 950, 703, 517, 725, 610, 11132, 20309, 1031, 269, 2142, 16762, 540, 26760, 24986, 267, 543, 13998, 1134, 14661, 1268, 1412, 338, 8226, 14302, 593, 1862, 2871, 518, 516, 549, 700, 298, 267, 4469, 20477, 918, 630, 476, 1001, 272, 3738, 2390, 4332, 729, 2919, 676, 543, 519, 9859, 1862, 9948, 1312, 26068, 543, 11913, 10291, 616, 3730, 950, 16326, 26760, 621, 6356, 1947, 15234, 543, 6920, 543, 269, 4317, 543, 3929, 1344, 6835, 568, 1500, 4443, 950, 26068, 543, 11913, 2792, 1496, 476, 5655, 9948, 15020, 2147, 17267, 581, 1862, 2859, 1419, 676, 1453, 1031, 17543, 543, 4196, 513, 2312, 32705, 1599, 729, 2919, 543, 269, 634, 851, 1141, 519, 2792, 568, 26068, 267, 855, 538, 1866, 267, 621, 1797, 24895, 1106, 547, 1118, 513, 3532, 269, 1656, 6920, 804, 4923, 612, 543, 3972, 519, 1560, 1893, 3750, 513, 11437, 666, 581, 1016, 323, 22866, 883, 1614, 15545, 30123, 999, 543, 11132, 7215, 1683, 1271, 1514, 543, 3929, 1344, 31325, 610, 575, 5074, 1978, 4607, 907, 9442, 9148, 1142, 824, 1299, 1948, 1535, 2767, 6902, 590, 4654, 1514, 543, 3929, 23511, 1656, 609, 519, 8313, 540, 519, 20309, 540, 519, 11042, 267, 610, 21046, 9889, 762, 17267, 3932, 513, 256, 10753, 529, 16279, 681, 295, 267, 1975, 7398, 657, 717, 630, 4728, 476, 2735, 275, 3738, 6093, 585, 1004, 945, 16326, 256, 5871, 1826, 1034, 2792, 568, 26068, 3020, 610, 7301, 4393, 3322, 519, 5778, 31850, 8344, 1935, 547, 26068, 2792, 267, 543, 1101, 12705, 9186, 15234, 4655, 267, 4043, 256, 1656, 6612, 585, 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 ]