NeelNanda/c4-code-tokenized-2b · Datasets at Hugging Face

tokens sequence
[ 1, 33264, 10127, 14, 272, 8756, 3941, 327, 20779, 248, 399, 8328, 286, 7275, 254, 4556, 274, 1999, 4, 85, 2949, 16, 188, 1516, 10578, 1503, 6216, 2631, 624, 683, 28035, 688, 6139, 5266, 29, 532, 282, 12317, 387, 248, 5266, 328, 633, 1193, 4279, 248, 2722, 4541, 274, 254, 2115, 3569, 1390, 311, 1129, 2840, 16, 188, 1516, 8302, 254, 3638, 348, 254, 3259, 255, 555, 32085, 254, 269, 407, 4782, 729, 248, 2675, 6916, 593, 254, 269, 14579, 282, 5129, 254, 2675, 10179, 327, 254, 3259, 255, 12299, 29, 1415, 386, 21180, 16, 188, 6630, 251, 5021, 4183, 6457, 670, 580, 311, 276, 248, 3979, 830, 626, 311, 248, 4183, 274, 1129, 23470, 390, 3994, 13781, 5872, 1024, 14, 390, 248, 4563, 274, 2430, 1594, 327, 650, 40595, 6409, 327, 13781, 5021, 16, 188, 4657, 2388, 337, 857, 2308, 3638, 826, 555, 9823, 26682, 324, 254, 857, 2308, 3638, 4764, 850, 7140, 407, 750, 1310, 4465, 9188, 282, 2023, 272, 4541, 286, 8585, 324, 843, 942, 10815, 5827, 282, 615, 1193, 286, 642, 942, 434, 8542, 16, 188, 7345, 772, 5192, 282, 1213, 1460, 311, 3587, 14, 772, 2591, 1499, 3095, 282, 321, 20383, 16, 11941, 45598, 337, 254, 2843, 274, 42940, 3699, 2591, 1499, 311, 1062, 2488, 286, 2926, 9993, 441, 343, 1480, 1181, 1460, 16, 188, 6630, 251, 8880, 774, 1394, 282, 10795, 286, 14348, 286, 2730, 254, 8542, 274, 1093, 663, 2706, 254, 13781, 5021, 286, 669, 1093, 663, 403, 13781, 40471, 16, 188, 1130, 311, 7793, 282, 6916, 7286, 353, 6569, 4279, 4402, 21308, 368, 282, 1663, 1051, 328, 580, 1874, 274, 254, 2443, 16, 24555, 857, 2308, 5541, 2308, 311, 843, 942, 4521, 286, 5353, 18790, 7485, 276, 254, 2591, 1499, 286, 5779, 16, 188, 1368, 872, 282, 1041, 889, 274, 3981, 1460, 8476, 327, 1703, 390, 9152, 16, 496, 436, 2211, 14, 368, 587, 321, 2464, 282, 1041, 889, 274, 6140, 4932, 15, 37073, 324, 8695, 12733, 14, 286, 282, 1041, 889, 274, 254, 1308, 274, 4678, 15, 11351, 282, 3533, 11751, 414, 16, 188, 27008, 2957, 403, 1093, 1350, 20627, 327, 3591, 276, 4661, 830, 641, 2957, 12805, 1063, 16, 188, 35493, 367, 4, 85, 12084, 7713, 247, 569, 274, 1241, 9253, 28, 2028, 944, 7904, 4203, 6604, 13886, 14, 596, 573, 1062, 1330, 28835, 533, 18858, 1612, 4183, 286, 4315, 35368, 274, 3452, 35906, 16, 188, 1934, 7214, 254, 1040, 274, 13781, 5021, 4183, 328, 2949, 276, 248, 1056, 16, 740, 1726, 1162, 274, 7904, 2957, 497, 13286, 713, 12865, 274, 20795, 3954, 14, 3233, 407, 254, 4633, 16, 330, 5786, 274, 5189, 13844, 650, 3624, 688, 274, 254, 2803, 274, 254, 3819, 14, 6094, 843, 353, 311, 4674, 561, 14, 286, 6094, 286, 4780, 3831, 688, 6916, 274, 6938, 324, 286, 1385, 254, 3819, 16, 188, 3474, 1608, 263, 286, 3157, 334, 669, 1102, 327, 328, 6033, 398, 497, 19552, 624, 14548, 670, 254, 269, 573, 2865, 248, 2675, 6916, 432, 254, 3259, 255, 16, 740, 1726, 1162, 274, 7904, 2957, 497, 13286, 713, 12865, 274, 20795, 3954, 14, 3233, 407, 254, 4633, 14, 944, 19259, 276, 254, 1068, 274, 254, 29404, 67, 798, 344, 456, 286, 254, 712, 264, 24800, 2758, 2957, 274, 23098, 14, 254, 12178, 11603, 276, 33613, 14, 254, 443, 7252, 286, 642, 5225, 40530, 5180, 460, 6776, 40008, 276, 34193, 14, 254, 418, 5832, 75, 276, 3904, 1471, 14811, 14, 254, 309, 2076, 3126, 6828, 40008, 14, 286, 254, 4098, 22524, 286, 11706, 832, 81, 24515, 16, 188, 2549, 29993, 7735, 327, 254, 3418, 2464, 5618, 4863, 4, 42940, 274, 1004, 12856, 1479, 16, 826, 4020, 11098, 1910, 5779, 348, 24700, 432, 22482, 390, 6828, 40008, 713, 2957, 939, 248, 25927, 1213, 274, 9016, 327, 14523, 248, 1330, 1361, 19663, 1024, 2522, 5779, 286, 6384, 1316, 939, 3863, 319, 274, 13830, 274, 1575, 16, 188, 35, 5575, 587, 1581, 688, 274, 254, 3487, 390, 3277, 274, 248, 2115, 390, 1213, 390, 2288, 14, 3838, 16, 44023, 4215, 2704, 561, 327, 836, 2533, 403, 9441, 348, 1726, 282, 21924, 276, 33236, 16, 45598, 337, 47880, 750, 1310, 750, 1310, 3949, 248, 3638, 276, 533, 345, 4972, 327, 360, 5103, 282, 4521, 286, 5353, 772, 1193, 8542, 286, 254, 8542, 274, 2489, 407, 32765, 12132, 282, 8542, 16, 188, 17716, 913, 3064, 428, 2464, 282, 2150, 615, 1193, 3418, 45037, 386, 428, 3477, 282, 3541, 3418, 12128, 1451, 3442, 428, 8812, 254, 2099, 913, 2646, 254, 2099, 913, 14, 8223, 2672, 497, 2464, 282, 5789, 254, 9015, 274, 254, 14120, 286, 12080, 1086, 10981, 28, 418, 1486, 890, 22, 749, 327, 2185, 276, 688, 10762, 403, 624, 40052, 45398, 328, 254, 3095, 274, 2489, 2499, 683, 6700, 33913, 16, 188, 43749, 330, 2675, 2443, 3854, 597, 343, 254, 13870, 3638, 311, 4326, 16, 188, 6630, 251, 8880, 403, 2013, 282, 11867, 285, 2857, 251, 8880, 403, 1012, 669, 8888, 282, 321, 248, 20205, 1213, 327, 2435, 1093, 663, 2120, 254, 13781, 5021, 286, 669, 1093, 26289, 841, 254, 13781, 5021, 14, 348, 596, 403, 10648, 4662, 13849, 274, 4153, 286, 390, 2315, 14, 3004, 25866, 843, 942, 765, 4264, 729, 16, 188, 2816, 42151, 286, 39017, 4978, 1240, 368, 807, 889, 324, 13781, 5021, 4183, 33980, 28, 826, 8302, 254, 13870, 3638, 348, 353, 2957, 327, 942, 403, 624, 2692, 282, 825, 248, 2860, 343, 2489, 327, 452, 21924, 29, 248, 15074, 276, 8811, 248, 17593, 2860, 16, 188, 1516, 9664, 311, 22798, 14, 974, 360, 2014, 3983, 282, 31355, 327, 6409, 748, 596, 2780, 668, 248, 1361, 286, 11504, 1093, 31355, 9947, 282, 615, 13017, 16, 39396, 36862, 1186, 330, 1162, 274, 1015, 11494, 14, 4395, 4652, 343, 688, 274, 254, 4719, 1788, 14, 5353, 1350, 4556, 276, 2349, 274, 254, 5442, 274, 9298, 2632, 16, 188, 2976, 15857, 274, 1789, 2353, 4987, 14, 532, 276, 248, 11409, 2211, 836, 403, 3673, 3587, 282, 6938, 286, 4932, 15, 37073, 16, 4978, 12625, 2780, 327, 2025, 5737, 403, 440, 12712, 1008, 286, 327, 1004, 1068, 274, 2318, 1350, 4556, 933, 321, 3994, 328, 695, 1193, 16, 188, 4884, 3545, 18712, 24301, 16, 32609, 14, 5332, 14, 3452, 21871, 14, 286 ]
[ 1, 13643, 13221, 16, 399, 1657, 387, 39668, 311, 248, 3837, 13562, 2705, 343, 944, 23056, 8920, 20824, 34697, 6667, 2969, 5100, 282, 16258, 8102, 16, 188, 28739, 4125, 254, 2537, 3551, 311, 3989, 8298, 15336, 20824, 5150, 12299, 2474, 282, 254, 3483, 1648, 1071, 325, 291, 270, 700, 1514, 14, 41219, 366, 5372, 46187, 14, 4344, 4995, 11490, 286, 4785, 5398, 46187, 16, 188, 24348, 10047, 2292, 248, 3064, 274, 36411, 11003, 17236, 432, 624, 683, 338, 20, 21, 9844, 9889, 27263, 432, 254, 12695, 274, 25373, 12488, 14, 12333, 432, 19575, 771, 3182, 14, 7928, 432, 5525, 16343, 286, 27657, 432, 25986, 16177, 39100, 16, 188, 31884, 46790, 403, 29382, 11395, 343, 14430, 12048, 15336, 6008, 3551, 343, 21879, 314, 1507, 615, 4935, 24031, 11, 533, 403, 41959, 1400, 343, 3901, 5752, 84, 1915, 286, 7154, 44814, 14, 1205, 4935, 14430, 12048, 403, 3598, 71, 773, 265, 343, 841, 1182, 1106, 286, 6864, 46261, 733, 16, 740, 26959, 9844, 2408, 248, 10581, 22488, 15660, 286, 8829, 24516, 554, 14, 13643, 13221, 457, 85, 6081, 8480, 286, 3506, 38035, 16, 188, 38, 1657, 387, 39668, 311, 8429, 343, 22223, 42318, 3844, 7195, 6667, 286, 14696, 362, 3081, 324, 254, 1640, 13801, 6990, 286, 254, 944, 10711, 32466, 16, 13618, 1248, 403, 12495, 286, 626, 311, 9567, 282, 1920, 944, 34557, 286, 5631, 682, 5058, 16, 188, 2432, 311, 2653, 432, 944, 1499, 4203, 286, 14696, 327, 1577, 713, 8735, 276, 254, 5987, 628, 274, 254, 7046, 286, 5732, 5464, 3616, 21999, 624, 7273, 324, 1963, 17058, 390, 10188, 16491, 16, 188, 12759, 570, 10611, 9629, 2653, 432, 254, 5976, 328, 695, 8680, 23288, 21841, 286, 26773, 5444, 1996, 3198, 276, 272, 20738, 4610, 390, 356, 32925, 1884, 328, 248, 7758, 1422, 32677, 16, 380, 2653, 311, 5440, 4311, 286, 3672, 25679, 819, 348, 2424, 9530, 929, 32160, 275, 343, 1299, 40289, 14, 6496, 252, 286, 5337, 4256, 608, 14392, 16, 22893, 286, 8895, 25044, 254, 8680, 286, 254, 8760, 1581, 9993, 688, 6939, 7323, 9629, 362, 564, 1114, 16, 188, 24348, 5961, 593, 1181, 624, 790, 4317, 12352, 286, 17058, 1648, 13643, 13221, 457, 85, 5793, 25795, 16, 2640, 338, 20, 1015, 14186, 6069, 597, 282, 338, 14, 24, 18, 18, 13144, 286, 20932, 327, 13231, 366, 343, 3471, 14, 436, 311, 254, 756, 1619, 830, 368, 476, 1081, 915, 286, 2714, 37823, 457, 254, 6268, 16, 188, 510, 27955, 311, 669, 1683, 282, 272, 6571, 15, 84, 746, 15336, 248, 5099, 3292, 4782, 1591, 19669, 248, 338, 26, 18, 4110, 1806, 274, 254, 34697, 16, 8011, 19669, 2014, 407, 254, 6830, 7362, 1706, 945, 282, 248, 5758, 16, 39668, 669, 3064, 688, 3837, 1887, 4314, 387, 695, 2714, 24989, 276, 254, 15453, 457, 3284, 14, 4892, 1416, 42959, 1648, 6131, 34923, 407, 254, 12695, 274, 20498, 3539, 10877, 16, 27101, 615, 4282, 324, 2057, 31782, 16, 188, 24348, 328, 16449, 8443, 311, 1062, 3364, 282, 3858, 17352, 977, 1788, 254, 610, 28911, 3393, 354, 3025, 4516, 2722, 282, 6226, 15453, 286, 254, 6187, 3844, 7195, 309, 34640, 14, 368, 476, 669, 12317, 2969, 254, 10271, 3844, 7195, 309, 34640, 1643, 286, 407, 248, 29334, 274, 22708, 13220, 282, 610, 28911, 3393, 14228, 16, 17369, 2029, 551, 816, 293, 11775, 311, 2066, 7025, 282, 6612, 14, 3614, 248, 5758, 6761, 276, 4513, 10114, 14, 816, 293, 11775, 311, 18643, 387, 15127, 2514, 3561, 16, 188, 15943, 924, 5419, 1438, 2969, 24120, 282, 5166, 671, 603, 368, 457, 251, 13220, 626, 432, 13643, 13221, 16, 1673, 69, 1297, 463, 8946, 2408, 6676, 332, 6245, 286, 36526, 31320, 14, 1903, 13643, 13221, 7901, 14, 10032, 31987, 286, 1827, 1111, 10337, 5406, 398, 16, 0, 36, 1404, 8211, 81, 354, 505, 6279, 311, 248, 374, 18, 19, 23, 797, 753, 19299, 14069, 24043, 2986, 815, 15, 15284, 1140, 4061, 14, 6646, 407, 4852, 46161, 2009, 7689, 378, 507, 5426, 75, 16, 731, 457, 85, 248, 338, 26, 394, 5174, 2835, 274, 378, 1404, 8211, 81, 14, 4335, 28605, 487, 2213, 14, 286, 20866, 354, 505, 6279, 432, 2233, 34952, 20361, 16, 1997, 327, 671, 378, 1404, 8211, 81, 5587, 348, 367, 15456, 8526, 314, 39534, 8089, 11, 274, 2233, 34952, 20361, 16, 0, 2433, 248, 9508, 2811, 254, 3541, 282, 633, 18796, 5535, 33, 188, 46981, 17669, 9241, 1638, 248, 9508, 2811, 254, 3541, 282, 633, 18796, 5535, 33, 188, 14171, 457, 85, 4903, 3979, 7583, 282, 9535, 8770, 5322, 14, 8649, 407, 9094, 327, 403, 26272, 843, 596, 7798, 343, 6211, 14, 10200, 14, 27294, 286, 615, 1193, 6000, 16, 1678, 14, 15804, 274, 8770, 311, 417, 248, 14822, 1213, 324, 944, 9094, 16, 36735, 747, 10076, 7028, 14, 3860, 7155, 286, 254, 2072, 457, 2025, 39052, 324, 8770, 1563, 1004, 18603, 3095, 282, 9012, 7275, 2623, 5322, 282, 7065, 1385, 615, 4311, 7806, 5535, 16, 188, 5897, 8298, 2660, 311, 282, 1916, 11019, 1444, 248, 9508, 1530, 16, 826, 4343, 254, 2072, 282, 1354, 5585, 274, 1015, 3395, 274, 5322, 324, 1004, 1479, 274, 2497, 1091, 1648, 815, 15, 12091, 14, 7110, 2497, 286, 248, 2413, 274, 8770, 3134, 314, 75, 16, 71, 16, 310, 5616, 53, 14, 3523, 67, 53, 14, 323, 5616, 53, 14, 1321, 8770, 390, 2958, 8770, 481, 188, 1253, 311, 248, 9508, 2811, 33, 188, 35, 9508, 2811, 4343, 368, 282, 24243, 931, 8906, 3134, 407, 15799, 8770, 14, 9676, 286, 5926, 14, 7110, 286, 842, 4201, 5146, 16, 1993, 5146, 476, 835, 321, 14953, 2474, 282, 633, 2072, 457, 3095, 1091, 1648, 931, 286, 2896, 3860, 14, 10007, 14, 4665, 286, 1283, 31145, 16, 188, 7176, 3134, 933, 321, 4136, 1659, 390, 933, 3191, 30203, 1659, 33, 188, 11609, 28, 830, 403, 633, 3134, 2961, 944, 33, 11364, 2504, 14, 11019, 28735, 14, 3860, 14, 11343, 286, 4331, 15, 31338, 15, 92, 2409, 16, 188, 1253, 403, 254, 11458, 552, 286, 2949, 5925, 324, 2624, 3134, 33, 188, 1253, 2497, 1245, 286, 1305, 5925, 513, 368, 452, 33, 188, 6545, 3571, 286, 5322, 4558, 33, 1395, 774, 872, 282, 1852, 2462, 282, 6324, 2632, 14, 16175, 14, 10040, 286, 7306, 1296, 16, 188, 1253, 311, 254, 10076, 2035 ]
[ 1, 188, 2360, 5568, 38, 7649, 13701, 3043, 10, 26739, 27478, 34072, 250, 14, 12761, 3043, 2192, 477, 1530, 426, 5959, 551, 13701, 477, 4759, 426, 11865, 1554, 1358, 684, 2668, 1358, 684, 8645, 1358, 684, 18699, 3291, 477, 7444, 65, 1554, 426, 684, 1855, 65, 5015, 551, 65, 8645, 16, 2880, 9, 1465, 804, 751, 65, 8653, 65, 2137, 10, 1262, 14, 1375, 35436, 2192, 647, 3514, 426, 2155, 10, 9147, 3043, 14, 1827, 481, 784, 65, 8653, 65, 2137, 28704, 35436, 11, 647, 3514, 4862, 325, 2184, 459, 5868, 426, 36814, 16, 25099, 16, 784, 10, 926, 1390, 31, 1262, 16, 35436, 4862, 325, 2184, 459, 22673, 647, 1076, 3514, 1465, 804, 825, 65, 7019, 10, 1262, 14, 825, 2192, 647, 15425, 426, 36814, 16, 25099, 16, 784, 10, 1554, 31, 1262, 16, 35436, 4862, 325, 2184, 459, 22673, 647, 25992, 65, 8645, 426, 5959, 551, 13701, 10, 926, 1390, 31, 629, 16, 15985, 265, 65, 2137, 4862, 1554, 15993, 926, 3407, 31, 629, 16, 15985, 265, 65, 2137, 4862, 2668, 15993, 926, 5690, 31, 629, 16, 15985, 265, 65, 2137, 4862, 8645, 15993, 926, 7866, 31, 629, 16, 15985, 265, 65, 2137, 4862, 18699, 15993, 926, 15425, 31, 325, 2184, 459, 14, 647, 2312, 647, 25992, 65, 8645, 16, 14837, 1067, 647, 1076, 23192, 9351, 48047, 10, 1262, 16, 784, 65, 12222, 65, 6262, 6472, 1465, 804, 825, 65, 24527, 10, 1262, 14, 825, 2192, 647, 3270, 10, 629, 16, 22128, 11, 647, 1076, 23192, 9351, 48047, 10, 1262, 16, 784, 65, 12222, 65, 6262, 6472, 1465, 804, 751, 65, 12222, 65, 6262, 10, 1262, 2192, 647, 1076, 7893, 2012, 325, 2184, 459, 28, 18699, 65, 325, 2184, 459, 65, 5015, 551, 1358, 16990, 12702, 9923, 1262, 16, 35436, 4862, 18699, 15993, 1827, 16, 35436, 4862, 325, 2184, 459, 46005, 188, 0, 5, 8064, 314, 69, 11, 374, 18, 19, 22, 407, 444, 717, 455, 758, 34347, 12786, 3733, 2349, 188, 5, 2066, 328, 3817, 1333, 2614, 16, 25606, 16, 2000, 17, 16652, 17, 357, 446, 16, 2880, 188, 188, 5, 34347, 28, 12786, 3733, 188, 5, 2410, 28, 2955, 258, 35524, 737, 75, 188, 188, 3933, 278, 583, 16, 7209, 27695, 16, 7209, 1510, 1369, 12293, 18176, 188, 3933, 278, 583, 16, 7209, 27695, 16, 11806, 1510, 1369, 21244, 18176, 188, 3933, 278, 583, 16, 7209, 27695, 16, 14928, 1089, 1510, 1369, 314, 477, 1834, 7231, 32673, 1089, 18176, 14, 477, 2862, 5814, 32673, 1089, 18176, 11, 188, 3933, 278, 583, 16, 7209, 27695, 16, 25109, 1510, 1369, 46398, 18176, 188, 3933, 278, 583, 16, 7209, 27695, 16, 7833, 1510, 1369, 314, 477, 10789, 5780, 18176, 14, 477, 7859, 5780, 18176, 11, 188, 3933, 278, 583, 16, 5912, 1153, 14241, 2649, 319, 16, 21259, 16, 7209, 1510, 65, 12937, 1369, 314, 477, 1213, 65, 27695, 11, 188, 3933, 40378, 317, 16, 6271, 1369, 17131, 262, 494, 6863, 188, 188, 3933, 954, 1234, 10656, 16840, 1369, 314, 477, 25774, 37, 9955, 5780, 14, 477, 1676, 718, 37, 9955, 5780, 14, 477, 15303, 759, 37, 9955, 5780, 11, 188, 188, 3933, 25362, 1369, 791, 534, 188, 34, 7209, 65, 27695, 10, 1554, 5313, 27859, 322, 1064, 2184, 2236, 3221, 1358, 2498, 2570, 5313, 27859, 322, 1064, 2184, 2236, 3221, 3291, 188, 2360, 29965, 5780, 3987, 3221, 10, 12564, 18176, 14, 17131, 262, 494, 6863, 2192, 1465, 6945, 12560, 426, 684, 7260, 9, 477, 311, 2773, 8860, 426, 11475, 1465, 804, 4623, 4338, 21257, 1262, 14, 1375, 35436, 2192, 647, 2155, 10, 37, 9955, 5780, 3987, 3221, 14, 1827, 481, 870, 4338, 21257, 424, 35436, 11, 647, 1827, 16, 5401, 426, 791, 2012, 37, 9955, 2288, 45548, 3291, 647, 1827, 16, 9742, 426, 791, 2012, 37, 9955, 2288, 45548, 3291, 1465, 804, 791, 4338, 65, 27695, 10, 1262, 2192, 647, 1827, 16, 3079, 29890, 10, 1003, 1242, 426, 10789, 5780, 18176, 5550, 1003, 22531, 426, 2862, 5814, 32673, 1089, 18176, 5550, 1003, 12566, 426, 21244, 18176, 10, 8653, 85, 20258, 13526, 37, 9955, 5780, 1077, 28881, 5575, 31, 65, 1551, 13526, 254, 8698, 2288, 8154, 28881, 3929, 31, 65, 1551, 13526, 8154, 28881, 2315, 31, 5296, 581, 1003, 11686, 426, 21244, 18176, 10, 8653, 85, 20258, 1737, 718, 37, 9955, 5780, 1077, 28881, 5575, 31, 65, 1551, 1737, 718, 254, 8698, 2288, 8154, 28881, 3929, 31, 65, 1551, 1737, 718, 8154, 28881, 2315, 31, 5296, 581, 1003, 15025, 426, 21244, 18176, 10, 8653, 85, 20258, 23786, 759, 37, 9955, 5780, 1077, 28881, 5575, 31, 65, 1551, 23786, 759, 254, 8698, 2288, 8154, 28881, 3929, 31, 65, 1551, 23786, 759, 8154, 28881, 2315, 31, 5296, 581, 1003, 23325, 426, 1834, 7231, 32673, 1089, 18176, 5550, 1003, 980, 426, 7859, 5780, 18176, 5550, 647, 2312, 647, 1827, 16, 3079, 6018, 4291, 10, 1003, 46398, 18176, 2012, 5318, 1358, 684, 7945, 11162, 1003, 46398, 18176, 2012, 7945, 1358, 684, 47843, 11162, 1003, 46398, 18176, 2012, 47843, 1358, 684, 901, 11162, 1003, 46398, 18176, 2012, 7945, 1358, 684, 46402, 11162, 1003, 46398, 18176, 2012, 46402, 1358, 684, 901, 11162, 1003, 46398, 18176, 2012, 7945, 1358, 684, 15145, 11162, 1003, 46398, 18176, 2012, 15145, 1358, 684, 901, 11162, 1003, 46398, 18176, 2012, 901, 1358, 684, 423, 11162, 647, 2312, 188, 0, 5, 43384, 12088, 28, 38931, 15, 26, 43384, 188, 22191, 22191, 6498, 4993, 188, 5, 342, 6879, 18854, 10557, 5564, 1349, 706, 17790, 188, 5, 342, 8064, 374, 18, 19, 20, 260, 605, 8874, 413, 653, 32097, 8874, 413, 34, 22903, 16, 679, 32, 188, 5, 188, 5, 342, 826, 2024, 311, 1903, 3571, 28, 368, 476, 24692, 353, 286, 17, 264, 9741, 188, 5, 342, 353, 758, 254, 2349, 274, 254, 11641, 9506, 2684, 4078, 5105, 4493, 348, 188, 5, 342, 3737, 407, 254, 7446, 8870, 6625, 14, 1996, 2629, 495, 274, 254, 188, 5, 342, 4493, 14, 390, 314, 256, 633, 4360, 11, 665, 1938, 2629, 16, 188, 5, 188, 5, 342, 826, 2024, 311, 5770, 276, 254, 3409, 327, 353, 587, 321, 4081, 14, 188, 5, 342, 532, 14588, 8867, 22458, 29, 1269, 1002, 254, 10195, 17036, 274, 188, 5, 342, 20242, 390, 19917, 6474, 330, 19783, 19517, 16, 210, 2512, 254, 188, 5 ]
[ 1, 20, 35577, 6297, 252, 7703, 588, 25830, 28, 6107, 39723, 28, 6107, 33403, 28, 6107, 5048, 1884, 38, 6634, 11909, 6145, 16, 42722, 2147, 18536, 39723, 12616, 1258, 85, 2147, 9029, 14933, 6971, 25649, 427, 2026, 22955, 14, 27678, 16, 314, 6609, 338, 24, 14, 374, 18, 19, 26, 11, 2916, 683, 338, 18, 18, 1017, 19584, 8583, 11042, 42722, 2147, 18536, 39723, 12616, 387, 254, 3015, 85, 8228, 9333, 14, 533, 369, 13286, 713, 248, 15438, 17574, 25096, 324, 254, 7046, 3316, 343, 2718, 17529, 14, 7822, 789, 14, 29417, 25267, 14, 31557, 7925, 16579, 7927, 25707, 6044, 42651, 551, 9863, 14, 374, 18, 19, 26, 15, 20, 18, 19, 27, 15, 20, 18, 20, 18, 42651, 3800, 314, 3991, 14, 11947, 14, 7702, 581, 25707, 38591, 314, 5205, 4189, 6087, 1844, 12200, 581, 2207, 14, 3547, 42154, 414, 11727, 2918, 28, 10945, 15, 22443, 3258, 2497, 14, 14209, 286, 8291, 262, 1083, 16, 6321, 5278, 274, 5227, 2918, 286, 15931, 12968, 756, 387, 19206, 37, 578, 8902, 16, 389, 16, 11903, 15513, 286, 13048, 7537, 282, 2374, 772, 7446, 7141, 1471, 7032, 16, 2807, 254, 1026, 14, 324, 1093, 274, 368, 327, 1602, 1826, 254, 1903, 2629, 311, 2013, 282, 254, 1491, 580, 14, 254, 3541, 311, 7925, 1838, 2019, 436, 802, 14, 360, 307, 5597, 607, 23, 1015, 2153, 14, 944, 274, 533, 452, 9258, 324, 254, 13590, 813, 14, 813, 14414, 14, 848, 14, 286, 848, 14414, 16, 9315, 13590, 848, 14414, 7964, 1044, 34688, 28, 15566, 7908, 33790, 42187, 328, 26658, 16, 3497, 939, 836, 1640, 13590, 848, 14414, 22417, 2153, 417, 282, 811, 35953, 1920, 633, 816, 87, 2201, 532, 669, 2023, 254, 2347, 12479, 282, 633, 810, 494, 86, 432, 30005, 14898, 16, 9315, 13590, 1558, 7964, 1044, 34688, 274, 374, 18, 19, 26, 28, 7859, 10463, 46487, 324, 5243, 40156, 19206, 6027, 16, 1691, 310, 11380, 747, 668, 836, 1640, 13590, 1558, 22417, 2153, 403, 13562, 2150, 286, 27829, 4131, 15, 484, 16, 839, 307, 5108, 8088, 274, 2942, 687, 254, 2391, 1603, 1090, 5022, 8088, 274, 13590, 286, 22421, 27263, 282, 1074, 254, 1640, 4254, 324, 368, 16, 1334, 282, 27880, 254, 9315, 7141, 1471, 282, 9956, 31095, 29, 12577, 10147, 21716, 16, 3826, 14, 348, 248, 1903, 24372, 4612, 14, 360, 403, 2056, 327, 368, 28159, 848, 31557, 865, 254, 28159, 848, 31557, 16, 1268, 513, 368, 865, 843, 282, 5053, 254, 1640, 24372, 282, 1115, 286, 3223, 1491, 2501, 16, 496, 254, 6092, 8548, 14, 378, 1376, 1275, 45066, 1028, 11100, 27380, 555, 248, 2196, 3981, 276, 16271, 892, 5422, 372, 12631, 372, 3382, 356, 25096, 2150, 274, 16234, 8247, 5811, 570, 2718, 17529, 10188, 14, 28159, 848, 31557, 1860, 9806, 368, 276, 4419, 254, 4426, 26447, 1460, 324, 633, 31999, 329, 981, 67, 25096, 14, 254, 2193, 41, 15488, 5287, 3290, 4708, 286, 2960, 29475, 285, 2120, 359, 1195, 16541, 34051, 327, 1449, 368, 282, 10724, 327, 24756, 286, 2443, 2072, 15557, 14, 23176, 286, 12605, 5925, 432, 512, 2237, 274, 2142, 16, 380, 21154, 286, 9382, 1361, 721, 11301, 254, 8514, 9496, 27638, 14166, 403, 6930, 2622, 343, 4635, 375, 1419, 31557, 529, 16, 36241, 848, 31557, 274, 254, 30070, 7980, 274, 615, 7423, 16, 8514, 9496, 15, 12144, 12782, 15, 1128, 67, 17067, 14, 6408, 27638, 17778, 14166, 28159, 848, 31557, 8358, 878, 3507, 247, 210, 24065, 210, 136, 220, 279, 210, 134, 239, 465, 480, 210, 135, 222, 299, 210, 24065, 311, 28159, 848, 31557, 2758, 276, 6248, 17766, 27193, 504, 3801, 14, 4851, 14, 1928, 2016, 14, 343, 248, 2974, 274, 4611, 17328, 32781, 25096, 3588, 1285, 254, 374, 18, 19, 18, 20125, 286, 272, 10374, 31557, 8689, 4209, 465, 85, 374, 18, 19, 21, 2974, 274, 338, 18, 24, 14, 25, 26, 18, 16, 7560, 2960, 441, 1012, 16, 839, 403, 5940, 276, 8838, 368, 343, 633, 2133, 16, 473, 8937, 40420, 35932, 14, 3567, 16, 311, 248, 2057, 15, 10337, 8322, 11065, 5715, 343, 9220, 2705, 328, 248, 28159, 848, 31557, 274, 6319, 16, 36241, 848, 31557, 555, 2449, 5537, 28159, 848, 31557, 1544, 23288, 276, 338, 27, 26, 25, 14, 24734, 16774, 1004, 274, 772, 6793, 924, 555, 624, 683, 374, 23, 1090, 274, 2705, 16, 330, 2875, 14, 3684, 2426, 6915, 282, 512, 9588, 294, 719, 8369, 276, 4851, 16, 8939, 16442, 6560, 3678, 7180, 276, 4851, 16, 38825, 485, 248, 16442, 6560, 3678, 276, 36241, 848, 31557, 324, 9315, 10777, 428, 254, 28159, 848, 31557, 6480, 324, 374, 25, 19586, 16, 7446, 399, 5113, 22, 24372, 11366, 16, 2514, 4659, 274, 5039, 25330, 972, 311, 15531, 254, 3373, 274, 248, 3949, 2133, 328, 254, 13435, 16, 428, 16113, 14, 33407, 8398, 848, 18, 19, 26274, 14, 44955, 8514, 9496, 14, 6408, 3237, 374, 19, 14, 374, 18, 19, 24, 428, 367, 12813, 374, 18, 19, 26, 37133, 10754, 36075, 309, 466, 7331, 4441, 15779, 16, 18072, 7859, 9086, 309, 447, 587, 321, 6965, 28159, 848, 31557, 3517, 28, 338, 16, 5431, 43631, 11983, 282, 11983, 374, 16, 5431, 43631, 6701, 9956, 495, 16, 380, 22858, 3379, 3135, 274, 254, 3206, 30200, 6701, 343, 254, 6151, 16221, 14, 757, 1774, 14, 28159, 848, 31557, 12534, 16, 380, 30164, 892, 15, 77, 329, 6556, 2868, 311, 248, 3379, 2099, 2868, 2956, 28159, 848, 31557, 6267, 12931, 85, 3918, 16, 380, 28159, 848, 31557, 311, 3783, 3051, 29417, 25267, 40818, 15290, 407, 25587, 4021, 14965, 663, 9461, 512, 274, 254, 12370, 2779, 3453, 432, 6267, 12931, 85, 9, 12096, 28159, 848, 31557, 14, 32952, 9285, 16, 30200, 22054, 23472, 416, 746, 1903, 31557, 20974, 6013, 16, 380, 30200, 22054, 12594, 391, 746, 311, 4301, 811, 597, 254, 3843, 432, 22923, 3313, 21404, 328, 848, 22, 18, 21491, 283, 3190, 367, 2716, 276, 2004, 4041, 14, 7800, 338, 26, 27, 19, 23, 16, 826, 391, 746, 2471, 311, 890, 18, 1246, 576, 22, 286, 311, 26534, 324, 10578, 3609, 14, 4590, 466, 3609, 286, 495, 328, 495, 25470, 3830, 16, 44123, 3801, 23033, 30200, 276, 19338, 343, 772, 11314, 4704, 15, 27054, 6494, 19287, 368, 282, 9811, 276, 772, 4929, 338, 25, 14, 374, 18, 19 ]
[ 1, 387, 607, 11169, 22700, 1791, 434, 4282, 16, 5066, 915, 729, 328, 19047, 14, 7672, 14, 286, 6567, 16, 0, 34661, 41504, 706, 32648, 374, 16, 23, 22872, 28951, 354, 13525, 7446, 2635, 323, 1137, 265, 411, 981, 354, 2503, 3277, 7020, 248, 16832, 315, 30130, 13457, 1519, 16, 731, 555, 7158, 17336, 12488, 6639, 6762, 343, 20235, 9646, 9034, 14, 6977, 2494, 20541, 19357, 14, 286, 25870, 1773, 16, 44882, 633, 7383, 22785, 41504, 706, 32648, 21916, 14137, 5752, 84, 1915, 282, 2706, 2752, 41975, 16, 22785, 41504, 706, 32648, 374, 16, 23, 22872, 28951, 354, 13525, 7446, 2635, 323, 1137, 265, 411, 981, 8138, 1601, 403, 324, 889, 276, 272, 5473, 21916, 33283, 286, 3603, 248, 45900, 3989, 5752, 4840, 25812, 713, 254, 2257, 4598, 2154, 21563, 16, 1547, 403, 7250, 324, 16867, 248, 31031, 25812, 286, 32177, 10542, 4619, 633, 1683, 16, 28528, 2654, 742, 248, 5158, 286, 818, 353, 282, 633, 7383, 5473, 21916, 33283, 16, 0, 43, 1797, 2865, 4341, 5674, 432, 436, 4341, 1162, 16, 1547, 1038, 625, 3437, 248, 3808, 286, 603, 310, 1052, 888, 353, 14050, 22539, 16, 310, 1328, 328, 254, 3063, 3006, 9120, 8521, 286, 1038, 625, 2780, 310, 933, 321, 2876, 836, 5674, 16, 188, 1516, 1162, 11055, 32563, 479, 286, 835, 13818, 597, 16, 188, 43, 715, 2876, 5845, 10629, 597, 4341, 5674, 432, 254, 1788, 1162, 16, 1997, 2008, 597, 282, 495, 5157, 16, 2028, 310, 1052, 254, 1162, 353, 4424, 440, 40541, 286, 626, 311, 641, 3808, 9259, 282, 4947, 663, 254, 26400, 1209, 2072, 311, 16, 188, 3116, 5939, 24940, 835, 596, 16370, 597, 16, 0, 35, 2065, 390, 593, 555, 4667, 1544, 618, 1364, 5566, 286, 5602, 12102, 3126, 311, 30337, 963, 16, 380, 16902, 4992, 2181, 555, 6159, 14, 348, 852, 254, 5288, 324, 248, 4422, 274, 1842, 14, 353, 555, 1544, 4744, 16, 10944, 22466, 14, 2732, 282, 15460, 2362, 254, 1499, 457, 85, 6081, 12572, 343, 1665, 18803, 14, 311, 747, 2732, 282, 4306, 248, 1096, 343, 1062, 1612, 44333, 276, 254, 10812, 16, 188, 2432, 452, 643, 641, 2135, 8483, 285, 282, 1280, 1544, 10036, 772, 1964, 652, 2872, 4441, 14, 3584, 324, 580, 1330, 14164, 16, 3699, 6574, 11260, 573, 1241, 1612, 13466, 670, 5534, 9945, 2144, 276, 16, 380, 898, 369, 254, 6574, 11260, 286, 512, 22849, 328, 254, 9478, 497, 17108, 742, 16, 712, 13591, 428, 4528, 310, 573, 18647, 7697, 274, 254, 763, 274, 441, 1116, 20760, 254, 5615, 296, 1864, 474, 6400, 16, 17204, 14, 2304, 254, 33534, 369, 14520, 3148, 2350, 888, 282, 2539, 16, 388, 1832, 334, 16, 188, 43, 1815, 368, 774, 321, 5940, 276, 688, 274, 254, 1362, 282, 1362, 4719, 274, 1464, 22281, 324, 254, 2391, 1241, 3498, 16, 11026, 2620, 3906, 348, 1063, 14, 580, 328, 3575, 1205, 254, 642, 3456, 2195, 286, 11685, 25724, 16, 310, 3673, 1242, 13704, 1444, 848, 390, 890, 5055, 286, 3575, 1863, 374, 390, 495, 8885, 835, 30599, 3809, 687, 16, 5650, 274, 441, 1574, 286, 452, 248, 1330, 257, 2295, 81, 2635, 387, 688, 1110, 1285, 254, 1362, 16, 1838, 2019, 328, 3575, 360, 452, 756, 2254, 580, 5464, 14714, 10885, 16, 2003, 457, 85, 353, 16, 1260, 963, 348, 7290, 254, 16427, 360, 3575, 286, 997, 841, 254, 47732, 16, 1260, 254, 5288, 2462, 593, 1042, 254, 15460, 2035, 16, 5066, 360, 872, 282, 1920, 254, 9478, 328, 254, 1449, 1360, 867, 282, 254, 8228, 274, 24095, 5986, 388, 8211, 16, 2028, 254, 5288, 5441, 368, 282, 563, 624, 31108, 379, 315, 436, 311, 248, 3518, 4686, 16, 839, 403, 5651, 772, 1887, 652, 2872, 4441, 327, 1143, 248, 5534, 2967, 282, 3759, 16, 11389, 387, 580, 274, 772, 16869, 2704, 274, 15460, 360, 1311, 8494, 719, 16, 23, 282, 813, 16, 23, 5157, 3278, 16, 839, 403, 5058, 343, 327, 14, 360, 650, 321, 31921, 343, 2103, 14, 532, 18435, 14, 476, 457, 86, 1423, 254, 5288, 16, 188, 31297, 343, 254, 11597, 4417, 248, 6599, 14, 353, 555, 2818, 35690, 278, 12592, 14, 1079, 2177, 14, 11471, 286, 26773, 16637, 16, 11389, 641, 6592, 7078, 14, 533, 2034, 670, 360, 452, 257, 33210, 254, 43552, 247, 9560, 4417, 16, 380, 1364, 274, 254, 5194, 9034, 311, 4634, 14, 11660, 1608, 11660, 1608, 14, 1311, 360, 452, 5194, 15301, 276, 254, 825, 274, 41011, 14, 14014, 14, 37534, 286, 7158, 14014, 16, 2640, 811, 687, 338, 18, 18, 18, 296, 1864, 474, 6400, 282, 563, 360, 476, 457, 86, 17299, 668, 254, 2546, 274, 2653, 16, 839, 1002, 452, 6571, 10494, 276, 254, 37496, 286, 6571, 276, 772, 5157, 10864, 671, 5324, 16, 188, 2231, 5602, 12102, 3126, 311, 417, 248, 5909, 9478, 16, 310, 10011, 417, 248, 5909, 9478, 16, 380, 1241, 642, 19179, 360, 403, 30337, 343, 1447, 282, 563, 7462, 1903, 324, 254, 30337, 14, 5562, 360, 997, 3461, 282, 772, 580, 5324, 1004, 1362, 16, 6107, 436, 650, 452, 643, 248, 3834, 4954, 282, 563, 7462, 1903, 324, 248, 1722, 14, 532, 1663, 328, 14, 670, 368, 756, 452, 1004, 642, 286, 4647, 9945, 286, 8244, 282, 997, 387, 14, 248, 5157, 8760, 390, 46413, 286, 247, 4967, 3809, 328, 248, 7040, 6097, 280, 2705, 16, 188, 19698, 8295, 311, 254, 4829, 28507, 14, 360, 476, 4856, 286, 4615, 16076, 286, 4341, 2426, 328, 248, 5157, 3596, 16, 44872, 282, 254, 1213, 311, 254, 5157, 6013, 274, 254, 8364, 1280, 16, 2640, 248, 2065, 390, 1637, 282, 2323, 10715, 266, 18172, 14, 310, 457, 79, 13488, 282, 1309, 254, 11241, 311, 3686, 597, 282, 695, 16399, 1390, 387, 436, 3798, 16, 731, 457, 85, 1311, 248, 1887, 12572, 286, 2626, 476, 4955, 14, 1311, 360, 403, 417, 16300, 665, 7720, 45371, 390, 2135, 32166, 387, 436, 1110, 16, 23132, 3672, 4221, 286, 7290, 22340, 2636, 16, 1838, 2019, 452, 8812, 48020, 11141, 2858, 338, 374, 706, 495, 14, 380, 10111, 777, 18072, 338, 286, 2666, 6797, 20001, 5959, 551, 2858, 338, 706, 374, 16, 45292, 14925, 311, 1689, 328, 254, 15547, 16, 310, 1872, 310, 933, 24350, 327, 310, 6296, 457, 86, 2486, 8812, 45292, 14925, 593, 353, 311 ]
[ 1, 332, 34495, 1051, 2474, 282, 254, 26003, 867, 407, 254, 2703, 14670, 6787, 16, 188, 6772, 28, 374, 19, 3793, 374, 18, 19, 26, 14, 338, 21, 28, 22, 23, 248, 16, 79, 16, 0, 1675, 5082, 15, 50, 1878, 43623, 4203, 403, 4144, 254, 1026, 276, 1491, 16151, 5299, 14, 3089, 338, 22, 13596, 276, 254, 1708, 374, 18, 4442, 22136, 2362, 254, 20280, 16, 1822, 532, 580, 274, 254, 1708, 338, 18, 403, 11334, 4203, 16, 188, 35, 6297, 551, 309, 33554, 6453, 432, 444, 4141, 5461, 25416, 254, 1491, 3278, 15818, 2490, 276, 10223, 15, 32857, 587, 407, 374, 16, 25, 2476, 276, 374, 18, 19, 27, 1091, 327, 457, 85, 624, 683, 3893, 254, 4022, 3278, 274, 338, 16, 20, 2476, 16, 188, 30717, 26239, 254, 1499, 30817, 343, 6000, 16455, 282, 4615, 248, 607, 16, 19, 2476, 2490, 276, 1491, 15818, 687, 254, 1689, 338, 20, 2524, 16, 188, 46706, 6120, 311, 248, 2722, 1250, 343, 272, 3159, 5884, 274, 576, 16, 27, 2476, 14, 3444, 407, 22611, 343, 576, 16, 20, 2476, 16, 188, 22094, 314, 22, 16, 19, 2476, 581, 22451, 314, 22, 16, 19, 2476, 581, 28276, 314, 21, 16, 27, 2476, 581, 40342, 314, 21, 16, 22, 2476, 581, 23437, 30498, 314, 21, 16, 20, 2476, 581, 3561, 9476, 314, 20, 16, 25, 2476, 581, 286, 23043, 314, 20, 16, 25, 2476, 11, 3665, 561, 254, 1708, 338, 18, 16, 188, 3530, 2019, 3108, 311, 28741, 11334, 14245, 16396, 343, 248, 5884, 274, 374, 16, 24, 2476, 16, 444, 4141, 749, 16396, 507, 587, 915, 615, 24818, 31333, 2490, 407, 1694, 2476, 276, 374, 18, 19, 27, 532, 14, 841, 2715, 273, 276, 15196, 533, 254, 5461, 4064, 12393, 10696, 25416, 282, 321, 338, 16, 22, 2476, 1689, 802, 14, 6000, 587, 915, 248, 1491, 15818, 2490, 274, 374, 16, 24, 2476, 16, 188, 46986, 11241, 5480, 254, 1026, 276, 15818, 2490, 324, 248, 1162, 274, 4462, 14, 254, 801, 1129, 254, 1162, 274, 6507, 26972, 276, 254, 2829, 16, 1993, 587, 3713, 452, 1017, 4009, 274, 15196, 14, 1851, 248, 7369, 15, 252, 1040, 328, 31333, 14, 11118, 444, 4141, 5461, 19231, 9701, 324, 10223, 14, 8426, 3172, 1326, 16, 188, 1590, 2943, 4273, 403, 19122, 942, 596, 872, 282, 1041, 2056, 387, 254, 1062, 1824, 596, 1920, 13494, 343, 15196, 14, 532, 368, 669, 961, 282, 5256, 276, 1491, 2349, 6000, 403, 6349, 272, 2490, 276, 615, 31333, 1756, 3172, 1326, 2117, 11334, 39837, 291, 16, 188, 686, 4203, 343, 1017, 4903, 3017, 1091, 944, 274, 1093, 343, 254, 4442, 3017, 20708, 403, 4301, 276, 10223, 11241, 1091, 254, 5429, 2961, 282, 12918, 12464, 669, 16721, 16, 188, 1590, 15331, 254, 948, 626, 311, 248, 2187, 274, 7131, 324, 942, 276, 836, 8369, 14, 4273, 452, 282, 3831, 4791, 1017, 31333, 282, 1081, 6255, 5655, 286, 12918, 615, 5210, 4602, 1756, 3172, 1326, 749, 16, 188, 1931, 1205, 3017, 311, 9121, 2362, 254, 2829, 14, 626, 403, 688, 4203, 3569, 2490, 311, 30943, 16, 16396, 311, 580, 274, 729, 663, 311, 1051, 470, 16, 21, 2476, 432, 615, 374, 16, 27, 2476, 2490, 436, 802, 16, 188, 17062, 696, 570, 669, 31890, 254, 8823, 286, 14, 1205, 31333, 403, 1311, 3159, 282, 1709, 14, 254, 2210, 387, 533, 596, 513, 311, 30943, 16, 188, 39, 4141, 25416, 18085, 2380, 1856, 457, 86, 915, 348, 248, 1017, 2210, 274, 2490, 276, 615, 1491, 37326, 276, 374, 18, 19, 27, 348, 596, 852, 436, 802, 16, 380, 13753, 2470, 5962, 6282, 14, 533, 2950, 248, 3316, 44761, 274, 254, 2142, 14, 4130, 4273, 282, 5129, 248, 624, 30646, 21871, 328, 2072, 7270, 286, 15818, 289, 13591, 16, 188, 6004, 3564, 19266, 348, 282, 254, 743, 2142, 457, 85, 7617, 286, 3758, 311, 7602, 1129, 6604, 14, 436, 11333, 343, 1633, 282, 23043, 457, 85, 4903, 2949, 311, 2692, 282, 3906, 713, 374, 18, 19, 27, 14, 3172, 1326, 749, 16, 188, 1590, 2686, 543, 779, 5962, 63, 573, 272, 3373, 328, 254, 6795, 14, 436, 2142, 4476, 282, 321, 624, 270, 2777, 594, 39083, 683, 254, 1985, 9209, 14, 286, 327, 9941, 939, 282, 1125, 18118, 1129, 248, 1612, 2298, 624, 8572, 759, 343, 2657, 282, 4903, 21413, 14, 286, 348, 819, 14, 596, 457, 251, 417, 16300, 11466, 3017, 286, 324, 15807, 282, 321, 348, 1157, 276, 374, 18, 19, 27, 348, 353, 369, 254, 1985, 802, 1756, 3172, 1326, 11118, 16, 188, 7979, 15536, 2715, 282, 272, 8539, 4903, 2949, 369, 254, 5757, 276, 4032, 7702, 14, 533, 587, 452, 248, 7369, 15, 252, 1040, 328, 15818, 289, 13591, 276, 254, 4351, 14, 348, 963, 348, 15196, 3159, 282, 321, 2330, 1899, 282, 254, 33600, 2697, 274, 254, 6901, 85, 286, 9241, 13291, 314, 41, 1244, 481, 188, 1931, 353, 457, 85, 2019, 432, 43651, 286, 41854, 14, 31333, 403, 1438, 276, 254, 977, 3758, 2362, 254, 2829, 533, 271, 3077, 963, 324, 254, 2764, 21413, 324, 10223, 11241, 16, 188, 510, 5215, 274, 1017, 15818, 5299, 403, 417, 811, 11042, 328, 272, 1999, 3596, 532, 10209, 283, 1051, 713, 13815, 5779, 14, 1949, 33803, 4203, 713, 254, 4617, 15, 286, 1017, 15, 20056, 23537, 274, 2363, 16, 188, 39253, 6414, 8456, 28, 1638, 27603, 1472, 4558, 324, 8189, 33, 188, 6696, 2177, 343, 1157, 1491, 5851, 5299, 476, 1847, 282, 915, 248, 5884, 276, 8132, 2237, 14, 3172, 1326, 749, 16, 826, 12915, 248, 2504, 282, 2055, 1919, 432, 695, 21421, 328, 26300, 286, 23447, 14, 286, 2142, 1305, 16, 188, 1516, 476, 321, 39124, 12557, 348, 353, 12915, 248, 2504, 282, 8364, 254, 9640, 603, 626, 311, 665, 2135, 4903, 390, 3452, 13623, 14, 1851, 254, 3621, 282, 1041, 597, 24254, 276, 580, 8548, 407, 4999, 4211, 597, 1495, 282, 10088, 254, 7588, 16, 1260, 3172, 1326, 12173, 353, 14, 353, 10238, 769, 23194, 3821, 666, 282, 248, 2504, 457, 85, 6795, 16, 188, 3269, 2330, 15, 20056, 4203, 14, 819, 348, 15296, 286, 40342, 14, 3159, 282, 915, 1017, 4903, 3017, 14, 286, 624, 4095, 26972, 747, 16396, 286, 13643, 13221, 6503, 282, 12918, 12464, 14, 10223, 11241, 311 ]
[ 1, 2705, 2815, 282, 254, 1963, 286, 3011, 18286, 4752, 314, 20439, 14, 4584, 14, 5719, 282, 3011, 286, 3011, 2289, 481, 1678, 14, 1963, 2672, 274, 1338, 343, 688, 18381, 314, 33222, 1336, 1033, 495, 1230, 19, 22, 1168, 10730, 11, 2287, 2330, 7168, 2352, 343, 1963, 2672, 274, 1081, 1062, 7766, 286, 3781, 1338, 314, 2798, 5116, 576, 481, 826, 2967, 369, 1500, 1525, 254, 745, 7330, 19536, 1460, 314, 82, 1168, 30, 1168, 18, 16, 18, 23, 481, 10067, 7346, 2815, 282, 254, 3011, 457, 85, 19536, 6988, 11987, 248, 2330, 12852, 276, 1963, 2672, 274, 1338, 663, 2865, 1303, 15, 19021, 1013, 19536, 16, 1993, 3784, 497, 1500, 1525, 254, 745, 40469, 19536, 1460, 314, 82, 1168, 30, 1168, 18, 16, 18, 23, 11, 286, 9876, 314, 82, 1168, 30, 1168, 18, 16, 18, 19, 481, 188, 1516, 1240, 311, 14, 282, 254, 1640, 274, 772, 3520, 14, 254, 801, 14443, 1240, 282, 8117, 1963, 2672, 274, 5300, 45583, 1338, 2705, 343, 1738, 1521, 3134, 4619, 254, 1338, 457, 276, 15, 31462, 7719, 1521, 286, 19536, 16, 380, 1240, 1102, 327, 1963, 2672, 497, 4440, 9781, 343, 254, 276, 15, 31462, 1521, 2449, 16, 330, 1755, 2705, 343, 944, 7589, 274, 254, 3011, 457, 85, 1521, 276, 254, 7719, 3298, 369, 1102, 2352, 343, 254, 19536, 3298, 16222, 254, 9876, 3298, 6432, 254, 8830, 8227, 324, 254, 1963, 2672, 16, 188, 686, 436, 1240, 14, 944, 1963, 2672, 497, 5186, 286, 22643, 324, 248, 4935, 3011, 16, 7667, 554, 15, 530, 2476, 497, 6841, 17, 5738, 44586, 386, 343, 254, 3011, 14, 5562, 2674, 576, 21, 7, 369, 254, 1338, 457, 2796, 16, 826, 311, 276, 8726, 343, 642, 2109, 7465, 1081, 1963, 2672, 286, 1338, 343, 5300, 45583, 543, 20, 23, 1230, 20, 25, 1534, 188, 510, 4440, 12852, 343, 1914, 14, 1521, 286, 19536, 274, 254, 3011, 369, 1017, 2124, 254, 4869, 274, 1963, 2672, 16, 380, 1963, 2672, 497, 669, 4440, 9781, 343, 843, 596, 497, 3994, 3622, 1285, 254, 4531, 3191, 16, 1993, 1508, 403, 5032, 343, 2006, 642, 2109, 17492, 4440, 12852, 343, 1738, 1521, 543, 26, 14, 374, 26, 14, 374, 27, 1534, 330, 1017, 12852, 4717, 311, 417, 7723, 248, 13893, 14876, 274, 254, 2705, 343, 1738, 1521, 974, 12852, 2109, 403, 2692, 282, 321, 1637, 7786, 282, 2107, 3133, 276, 254, 3184, 274, 1738, 1521, 954, 731, 933, 321, 7281, 327, 436, 311, 417, 248, 3273, 1240, 286, 327, 1963, 2672, 756, 5357, 1521, 324, 248, 4957, 274, 254, 1914, 29, 2926, 14, 596, 403, 756, 7691, 24401, 14, 286, 615, 8227, 774, 417, 7723, 4736, 254, 1972, 3184, 274, 254, 1738, 1521, 2449, 16, 188, 35, 2917, 2103, 4717, 2815, 282, 1521, 1285, 254, 7719, 3298, 497, 2287, 14, 7603, 327, 1963, 2672, 573, 944, 2675, 8227, 343, 254, 1521, 2449, 276, 254, 7719, 7605, 16, 330, 1841, 8585, 324, 436, 2967, 774, 321, 327, 348, 254, 3011, 9470, 432, 7719, 1521, 282, 276, 15, 14900, 19536, 14, 254, 2683, 2462, 432, 5623, 282, 1034, 15, 3818, 6282, 954, 22519, 343, 254, 5176, 276, 2683, 14, 1285, 254, 19536, 3298, 14, 254, 3615, 1580, 311, 31588, 14, 19536, 19454, 452, 10890, 4602, 5146, 286, 626, 311, 1637, 390, 641, 3248, 872, 274, 19816, 6326, 324, 8441, 254, 3011, 16, 826, 774, 669, 5353, 2075, 254, 1963, 2672, 7212, 1637, 1815, 16393, 286, 1521, 324, 254, 3011, 1285, 19536, 2352, 282, 254, 3191, 276, 254, 7719, 7605, 16, 3201, 14, 836, 1508, 513, 417, 7723, 1563, 327, 1914, 311, 29478, 276, 254, 19536, 3298, 16, 1664, 774, 321, 2006, 4462, 2075, 1963, 2672, 9751, 327, 4602, 14053, 286, 1914, 5661, 3073, 282, 1142, 1755, 276, 254, 7719, 7605, 2352, 343, 254, 19536, 7605, 16, 188, 35, 17754, 1240, 432, 19743, 17695, 9715, 1338, 2705, 343, 254, 19536, 7605, 8405, 327, 254, 3011, 7212, 1129, 248, 628, 274, 254, 19536, 3015, 14, 532, 688, 274, 615, 17268, 2705, 1129, 8266, 10162, 954, 3714, 14, 1732, 2565, 5128, 1145, 356, 16, 8405, 688, 274, 254, 17268, 2705, 348, 417, 1129, 1635, 3609, 282, 23052, 343, 254, 3011, 390, 12570, 328, 843, 282, 12114, 390, 22552, 254, 9715, 36154, 282, 3812, 9811, 841, 9876, 954, 3996, 42877, 2214, 1565, 286, 4590, 4610, 403, 20747, 2983, 276, 295, 14275, 6538, 1914, 14, 254, 889, 274, 8319, 3609, 286, 9347, 311, 1637, 3591, 276, 436, 4610, 683, 1285, 7719, 1521, 543, 21, 19, 14, 495, 20, 1534, 188, 510, 5342, 432, 7719, 282, 19536, 19454, 555, 3661, 1953, 282, 2759, 10127, 2124, 1963, 2672, 954, 11392, 452, 669, 2287, 248, 3367, 274, 1460, 276, 254, 19536, 3298, 4850, 254, 2517, 274, 254, 19536, 286, 254, 3373, 274, 248, 5300, 45583, 543, 19, 22, 14, 338, 23, 1534, 399, 847, 77, 1145, 356, 16, 7830, 282, 254, 3367, 274, 1460, 286, 5833, 348, 580, 274, 254, 1964, 7674, 324, 1963, 2672, 348, 1338, 2055, 432, 254, 24482, 282, 254, 6377, 45311, 19454, 390, 432, 254, 6377, 45311, 7605, 282, 19536, 954, 11752, 2672, 774, 452, 44658, 12308, 2815, 282, 1081, 254, 5900, 274, 946, 597, 286, 7552, 274, 254, 1338, 457, 5011, 286, 9444, 7552, 16, 1260, 272, 1726, 628, 274, 19536, 311, 282, 17065, 286, 6023, 254, 3011, 324, 254, 4590, 274, 7170, 1346, 14, 436, 1460, 933, 321, 1635, 282, 254, 1963, 2672, 2006, 2008, 1285, 254, 276, 15, 31462, 3191, 16, 188, 1853, 4709, 276, 1495, 1240, 14, 35306, 5703, 286, 1338, 668, 615, 3453, 314, 1701, 12858, 2591, 3134, 14, 6329, 14, 47117, 5429, 11, 1285, 248, 13753, 1464, 2288, 311, 4395, 21768, 954, 496, 254, 1225, 1240, 14, 576, 18, 7, 274, 254, 1963, 2672, 2287, 327, 596, 1996, 852, 417, 4615, 436, 1460, 387, 512, 390, 2865, 756, 248, 1330, 2332, 274, 353, 16, 8918, 14, 719, 18, 7, 2287, 327, 615, 4903, 3095, 497, 417, 2584, 1521, 274, 16, 2514, 24922, 1240, 452, 14448, 254, 12852, 286, 2705, 274, 1338, 390, 17268, 1648, 248, 1897, 4850, 254, 4531, 8946, 954, 3602, 2287, 248, 1157, 12852, 343, 254, 4531, 8946, 16, 380, 1963, 2672, 276, 254, 1225, 1240, 1102, 254, 8946, 324 ]
[ 1, 11979, 2731, 19251, 16, 15263, 14, 254, 23196, 555, 353, 512, 14, 367, 1757, 14, 254, 4142, 252, 401, 35863, 286, 254, 34539, 274, 13797, 1232, 16, 7644, 1837, 282, 6982, 1851, 593, 1125, 3483, 276, 580, 23196, 16, 310, 5565, 310, 807, 1193, 512, 274, 254, 367, 19, 37030, 14, 532, 618, 4335, 650, 5006, 479, 16, 188, 50, 19, 4799, 248, 714, 11955, 14009, 324, 248, 14726, 47509, 23196, 14, 1495, 2572, 10259, 5158, 3, 3239, 25621, 536, 830, 434, 1673, 4981, 21729, 188, 43, 476, 625, 3236, 324, 254, 2057, 10044, 274, 19004, 29521, 16, 188, 41159, 11792, 14117, 47480, 14, 852, 368, 1041, 248, 2752, 888, 1618, 33, 2003, 434, 3837, 4344, 16, 1334, 852, 368, 513, 353, 14, 286, 748, 2169, 274, 2080, 311, 327, 33, 188, 1843, 4606, 14, 310, 5041, 254, 2377, 3432, 625, 3834, 14, 532, 353, 434, 2722, 3, 11800, 19, 7754, 452, 615, 1193, 347, 4676, 4, 1181, 747, 330, 4151, 452, 615, 1193, 347, 4676, 3333, 12809, 310, 5565, 4273, 650, 811, 889, 9562, 5486, 434, 3616, 14, 419, 3123, 14, 532, 310, 452, 282, 1309, 4440, 14, 310, 1328, 1623, 13488, 343, 436, 5158, 16, 188, 23471, 14, 2314, 633, 10377, 286, 5246, 1480, 15404, 42595, 14724, 14, 286, 4344, 327, 368, 452, 775, 328, 3046, 16, 310, 1038, 625, 865, 748, 282, 513, 343, 7280, 977, 1012, 22654, 16, 188, 2433, 327, 272, 310, 413, 67, 367, 981, 18657, 33, 19091, 311, 977, 532, 310, 1038, 625, 1141, 596, 5416, 12971, 5099, 10723, 16, 188, 1130, 311, 254, 310, 413, 67, 7800, 58, 16, 310, 852, 248, 2187, 274, 2752, 785, 282, 353, 16, 9027, 328, 248, 743, 888, 5212, 14, 27807, 254, 28993, 286, 2790, 338, 17, 22, 15964, 38916, 10723, 16, 731, 369, 790, 14, 883, 650, 5419, 436, 282, 3655, 14306, 282, 3046, 11800, 338, 37030, 16, 3730, 434, 811, 248, 4422, 274, 38913, 432, 254, 1916, 16, 188, 17041, 5167, 16, 10078, 368, 2752, 1041, 254, 10723, 33, 188, 2686, 311, 12745, 19109, 472, 8799, 5001, 3, 12596, 599, 2152, 426, 481, 310, 5565, 310, 573, 1093, 6750, 3, 188, 2432, 434, 643, 688, 743, 714, 37553, 254, 1364, 1603, 3498, 3, 188, 43, 476, 625, 751, 687, 843, 2019, 561, 596, 10302, 37030, 16, 1664, 403, 338, 20, 328, 3046, 532, 360, 1797, 756, 12407, 254, 801, 580, 16, 188, 7849, 324, 16452, 836, 14, 34945, 3, 1547, 1441, 512, 12745, 286, 4214, 688, 274, 254, 1640, 37030, 327, 452, 2378, 643, 4061, 324, 378, 398, 9068, 16, 731, 434, 3233, 30130, 282, 915, 819, 1839, 9726, 286, 2017, 7884, 841, 1090, 274, 45161, 1925, 10299, 286, 17481, 2082, 9117, 432, 330, 4151, 16, 188, 2686, 1129, 749, 310, 1339, 5041, 343, 6870, 37094, 16, 1997, 436, 1110, 353, 434, 1837, 282, 865, 1826, 836, 403, 811, 3735, 8880, 390, 587, 6350, 1663, 282, 2703, 314, 395, 603, 593, 14, 670, 481, 0, 510, 2537, 1056, 286, 2363, 330, 21, 23, 18, 15, 27, 18, 18, 85, 2263, 282, 254, 36150, 324, 248, 4556, 8404, 276, 4257, 374, 18, 19, 22, 14, 9487, 2292, 512, 274, 254, 9690, 900, 324, 5867, 12739, 457, 5384, 4403, 4144, 282, 20960, 274, 436, 6151, 5867, 12739, 4474, 2825, 11402, 40266, 16, 5867, 12739, 2980, 282, 10456, 615, 16899, 41309, 407, 11733, 607, 20798, 743, 5867, 18960, 495, 23, 18, 85, 2292, 16, 7644, 324, 254, 801, 671, 327, 15388, 956, 20199, 497, 900, 282, 1041, 32994, 16, 1395, 6327, 2314, 436, 3379, 324, 254, 7028, 286, 10360, 274, 436, 8418, 3379, 16, 0, 14987, 248, 1017, 3184, 8195, 327, 5961, 1656, 23520, 319, 3340, 286, 5862, 8444, 1767, 1171, 7065, 248, 5032, 13713, 3003, 16, 380, 38241, 555, 3055, 3189, 2462, 286, 3684, 2080, 1252, 3068, 327, 25962, 2501, 286, 671, 16, 731, 555, 248, 30231, 9927, 390, 16963, 8444, 21463, 248, 4474, 5081, 274, 20511, 16, 25140, 276, 8198, 8131, 14, 16160, 8131, 14, 367, 646, 8131, 14, 286, 8571, 8131, 16, 188, 34887, 28108, 7086, 665, 18534, 975, 16, 3523, 1228, 343, 443, 19, 23, 17, 41, 22, 18, 13713, 11621, 14, 254, 7410, 47134, 3901, 8195, 11819, 403, 4024, 282, 3054, 17539, 14, 4646, 4665, 14, 2330, 14429, 286, 2023, 5032, 14, 1017, 3184, 29143, 324, 512, 274, 633, 17395, 4742, 16, 731, 5961, 1656, 23520, 319, 3340, 286, 5862, 8444, 1767, 1171, 13713, 3003, 16, 380, 3364, 282, 25482, 2150, 4343, 324, 3684, 3189, 2462, 286, 3652, 15038, 10123, 16, 7410, 47134, 5961, 248, 495, 18, 18, 2868, 30231, 9927, 8444, 4987, 3290, 1034, 21037, 33791, 16, 188, 4336, 1276, 282, 22237, 6555, 286, 3184, 14, 1205, 8270, 5408, 18157, 16, 380, 17330, 11899, 1862, 254, 13713, 255, 254, 3621, 282, 2917, 6706, 254, 13713, 3003, 1269, 6707, 254, 8857, 16, 826, 5490, 311, 4024, 282, 4646, 4440, 2042, 274, 12498, 286, 4024, 324, 248, 5081, 274, 15038, 390, 1773, 15, 3066, 4605, 328, 5372, 286, 4995, 4742, 16, 188, 4336, 1276, 282, 7065, 18178, 43918, 2949, 286, 2859, 368, 1441, 6752, 286, 5408, 7155, 16, 380, 9703, 4873, 286, 27213, 2150, 21633, 13713, 2949, 16, 10046, 6534, 2150, 14, 1656, 9379, 3377, 286, 20997, 21574, 5846, 2023, 4718, 5408, 5787, 16, 25140, 276, 37133, 12654, 14, 17369, 6060, 14, 286, 42585, 16, 188, 988, 404, 1391, 9927, 4156, 16, 496, 10528, 512, 254, 3202, 5493, 324, 13713, 5490, 9115, 16, 5596, 27087, 282, 5053, 432, 14, 12209, 286, 37133, 12654, 16, 188, 7639, 1052, 324, 624, 1460, 286, 642, 13713, 3462, 327, 403, 5740, 16, 0, 40, 608, 25861, 11746, 3567, 25460, 496, 443, 37959, 1673, 47273, 8771, 1254, 1967, 6871, 26085, 2278, 52, 1176, 49, 15234, 20706, 7604, 49, 2856, 443, 5319, 49, 655, 309, 1878, 22928, 22, 19, 444, 8267, 607, 374, 338, 18, 20, 22, 90, 25, 24, 26, 3384, 401, 608, 25861, 11746, 3567, 25460, 496, 443, 37959, 311, 580, 274, 7758, 254, 86, 403, 2815, 343, 254, 5246, 1063, 276, 254, 4698, 19147, 16, 1286, 368, 650, 747, 282, 915, 254, 401, 608, 25861, 11746, 3567, 25460, 496, 443, 37959, 1673, 47273, 8771, 1254, 1967, 6871, 26085, 2278 ]
[ 1, 276, 436, 2378, 15, 1155, 11611, 1499, 286, 11758, 2703, 14, 436, 311, 580, 8788, 327, 587, 1582, 1767, 16, 188, 7658, 8543, 525, 777, 8832, 41458, 14, 15723, 324, 248, 1903, 2150, 20549, 16, 23366, 258, 8543, 525, 777, 476, 321, 4774, 387, 576, 24, 21, 15, 25, 24, 25, 22, 896, 390, 407, 4436, 387, 279, 549, 525, 777, 7704, 34, 25316, 16, 2929, 16, 9720, 3415, 274, 615, 785, 328, 615, 26176, 4282, 14, 8061, 16, 47, 17940, 15, 4722, 16, 679, 16, 0, 18029, 749, 327, 14, 4832, 597, 248, 4242, 12173, 248, 2187, 274, 8033, 328, 688, 274, 254, 4156, 14, 3233, 254, 1575, 6015, 286, 254, 1837, 4306, 314, 27566, 368, 457, 307, 1143, 254, 5080, 26141, 2341, 399, 37960, 481, 1223, 14, 5938, 633, 4242, 328, 2034, 353, 457, 85, 4558, 324, 7950, 889, 16, 188, 35, 1157, 17709, 774, 321, 282, 811, 867, 633, 27067, 282, 1577, 742, 841, 338, 18, 2819, 14, 390, 811, 1577, 729, 742, 13174, 1063, 368, 1450, 1683, 16, 31250, 633, 5414, 282, 4456, 390, 289, 36768, 403, 669, 1157, 4466, 282, 5166, 688, 1575, 16222, 7362, 254, 4242, 276, 248, 1350, 327, 587, 1545, 353, 282, 11454, 597, 4400, 670, 368, 872, 282, 889, 353, 959, 16, 188, 29350, 24499, 28, 6100, 7999, 12471, 6839, 282, 14377, 33, 0, 41, 19738, 26786, 24784, 369, 248, 6901, 3417, 24371, 47352, 264, 274, 254, 42630, 9960, 12304, 324, 11909, 3511, 515, 280, 314, 37, 22, 11, 457, 85, 22876, 3904, 8628, 12304, 328, 4929, 374, 19, 14, 374, 18, 19, 25, 387, 254, 9596, 5044, 276, 11722, 1601, 5998, 14, 14839, 16, 3779, 35869, 26786, 14, 7109, 274, 17442, 26786, 24784, 14, 749, 436, 7847, 369, 769, 483, 6739, 343, 254, 2365, 282, 1767, 843, 772, 3015, 15930, 254, 3095, 274, 1093, 944, 276, 872, 1397, 380, 12434, 3373, 274, 254, 7847, 332, 37960, 282, 3217, 10827, 8660, 2292, 282, 8194, 2488, 2591, 3133, 1205, 5983, 272, 12083, 2362, 254, 18903, 343, 1321, 14, 18241, 14, 1303, 850, 25151, 14, 9094, 14, 2142, 286, 11823, 8660, 16, 380, 763, 17486, 497, 6098, 27248, 635, 14, 14794, 286, 8925, 6251, 274, 28923, 6225, 1312, 286, 27972, 444, 16, 444, 24573, 14, 4252, 16, 47, 896, 17194, 20219, 264, 274, 367, 511, 81, 28958, 5935, 16, 12304, 5212, 1322, 2818, 8176, 1337, 23274, 14, 6284, 1318, 4272, 338, 14, 3124, 274, 11722, 1601, 5998, 14, 17064, 267, 19261, 14, 7109, 274, 416, 5003, 3124, 31244, 11754, 14, 30208, 427, 9370, 5272, 14, 9701, 274, 11909, 9494, 14, 3561, 5153, 3220, 47939, 6240, 14, 18965, 8470, 14, 7320, 29390, 14, 4117, 2123, 11909, 6240, 286, 27355, 12908, 14, 9701, 274, 25823, 286, 11909, 9494, 14, 3124, 274, 11722, 1601, 5998, 16, 0, 15253, 568, 28, 9175, 561, 618, 17389, 25995, 6051, 1045, 16, 188, 5652, 11455, 35267, 14, 330, 16, 706, 22893, 1234, 250, 14, 354, 16, 1729, 1172, 2562, 18624, 274, 1427, 3525, 39834, 29998, 655, 1083, 16, 188, 5652, 11455, 35267, 14, 330, 896, 13480, 14, 331, 896, 13304, 308, 442, 14, 323, 896, 706, 5629, 460, 14, 331, 16, 29569, 728, 18624, 274, 7813, 3729, 570, 30281, 6677, 276, 11321, 16, 188, 5652, 11455, 35267, 14, 330, 896, 22893, 1234, 250, 14, 354, 896, 28031, 14, 354, 896, 388, 608, 14, 309, 16, 286, 23274, 14, 610, 16, 314, 20, 18, 19, 23, 481, 39177, 283, 67, 448, 6184, 87, 20332, 16066, 314, 11226, 406, 1337, 19846, 2192, 740, 1596, 282, 254, 41380, 274, 254, 1928, 2016, 286, 248, 2667, 18081, 274, 254, 3307, 16, 8872, 274, 254, 27484, 267, 474, 5329, 6342, 274, 5942, 14, 890, 10, 19, 581, 338, 26, 25, 15, 19, 27, 22, 16, 188, 5652, 11455, 35267, 14, 330, 16, 314, 20, 18, 19, 23, 481, 9763, 282, 39177, 283, 67, 16, 496, 28, 30491, 78, 14, 416, 16, 44, 896, 323, 16, 37, 16, 46501, 14, 367, 16, 18343, 14, 411, 16, 44, 16, 3479, 262, 560, 14, 500, 16, 52, 16, 8241, 266, 14, 367, 16, 27344, 2139, 14, 418, 16, 45, 16, 6631, 84, 506, 14, 331, 16, 418, 16, 19414, 14, 378, 16, 35, 16, 6041, 14, 331, 16, 39, 16, 53, 16, 10978, 14, 416, 16, 35, 16, 16188, 14, 500, 16, 36, 16, 15710, 14, 286, 418, 16, 39, 16, 20921, 16, 2795, 6292, 274, 16872, 28, 37316, 286, 3545, 27757, 16, 2795, 6292, 16872, 3567, 896, 38867, 14, 16872, 16, 188, 5652, 11455, 35267, 14, 330, 16, 314, 20, 18, 19, 22, 481, 8530, 15, 7354, 1657, 8240, 29998, 362, 1083, 274, 16872, 28, 272, 17865, 274, 39177, 283, 67, 24349, 3707, 67, 286, 39177, 283, 67, 30815, 3777, 33617, 314, 11226, 406, 1337, 19846, 481, 16872, 17679, 20670, 18164, 14, 338, 28, 24, 25, 15, 25, 27, 16, 188, 5652, 11455, 35267, 14, 330, 16, 706, 39872, 14, 418, 16, 314, 20, 18, 19, 22, 481, 473, 6784, 3928, 1951, 1482, 5423, 304, 560, 403, 32247, 15688, 3, 11816, 40297, 570, 14, 254, 16872, 17679, 20670, 8054, 6145, 14720, 16, 188, 5652, 11455, 35267, 14, 330, 16, 1395, 403, 254, 6311, 28, 40255, 324, 14826, 633, 2479, 286, 25829, 668, 5692, 16, 16872, 2341, 2421, 14, 27484, 1256, 36339, 15738, 16788, 16, 11389, 7575, 14, 16872, 16, 4297, 374, 24, 14, 374, 18, 19, 26, 16, 188, 5652, 15080, 460, 14, 331, 896, 2948, 35267, 14, 330, 896, 21201, 2139, 14, 500, 896, 500, 13887, 15, 1031, 12321, 14, 310, 896, 13990, 1318, 14, 310, 19430, 286, 20940, 1625, 14, 367, 16, 6100, 13214, 91, 10515, 254, 2165, 282, 4541, 18501, 975, 15856, 276, 9679, 7930, 267, 361, 33, 8829, 27193, 26514, 11526, 314, 54, 11906, 481, 21445, 14, 11321, 16, 4257, 374, 20, 14, 374, 18, 19, 26, 16, 188, 5652, 13480, 14, 331, 5849, 14, 13304, 308, 442, 14, 323, 896, 2948, 35267, 14, 330, 14, 286, 5629, 460, 14, 331, 16, 19765, 274, 23645, 29092, 41302, 1509, 262, 314, 34660, 19846, 11, 276, 11321, 286, 254, 2365, 3373, 274, 18447, 29402, 20603, 28, 12265, 7120, 16, 8829, 27193, 26514, 11526, 314, 54, 11906, 481, 21445 ]
[ 1, 6151, 22409, 6858, 286, 633, 11514, 3568, 603, 368, 1797, 2102, 2709, 353, 16, 188, 14590, 23233, 324, 642, 2347, 13151, 390, 5062, 16, 188, 510, 11152, 20805, 403, 954, 6963, 14, 954, 6963, 90, 14, 954, 9030, 286, 314, 1507, 254, 3378, 274, 633, 30077, 286, 30077, 7315, 11, 954, 11064, 390, 954, 41103, 16, 5650, 1819, 476, 321, 248, 4718, 274, 338, 18, 14831, 16, 0, 48, 792, 359, 39144, 10864, 407, 2900, 1033, 1362, 16, 188, 43, 476, 625, 785, 324, 368, 16, 188, 37, 15687, 11473, 41155, 974, 353, 369, 1200, 1657, 16, 188, 20672, 573, 520, 4249, 266, 20249, 276, 272, 4290, 2084, 9723, 16, 188, 43, 811, 2790, 688, 20327, 282, 254, 22147, 16, 188, 52, 1404, 47949, 5325, 254, 3383, 248, 9122, 282, 1315, 276, 248, 2298, 274, 5194, 2257, 16, 188, 50, 263, 1377, 285, 2464, 43942, 286, 616, 3732, 324, 1336, 16, 188, 1031, 6764, 16173, 27032, 650, 3437, 16, 188, 2432, 403, 688, 4139, 282, 6689, 561, 16, 188, 1212, 1038, 625, 865, 830, 22666, 311, 1012, 16, 188, 510, 17635, 8577, 20042, 282, 6448, 16, 188, 22089, 6307, 286, 31045, 749, 596, 497, 11549, 16, 188, 43, 2464, 729, 417, 282, 687, 21628, 16, 188, 14644, 20571, 1845, 4313, 276, 254, 10305, 1349, 11164, 1063, 345, 21821, 597, 16, 188, 1130, 434, 2508, 327, 25533, 3432, 625, 2486, 27229, 16, 188, 8234, 5809, 317, 5226, 15702, 15703, 580, 6026, 14, 772, 2485, 3542, 248, 2187, 274, 2501, 16, 188, 1253, 513, 368, 1141, 6297, 2034, 33, 188, 7703, 13929, 311, 1015, 432, 642, 8071, 16, 188, 4177, 84, 16011, 520, 1450, 14, 6870, 47356, 2464, 14, 347, 11460, 368, 2254, 327, 34592, 327, 369, 328, 254, 8373, 14, 473, 1556, 33, 731, 434, 2169, 274, 1726, 449, 347, 3885, 14, 310, 12862, 327, 22805, 1919, 1364, 2065, 14, 42639, 928, 30282, 9750, 742, 4464, 14951, 16, 188, 47, 42792, 3542, 520, 4335, 4941, 1090, 3502, 16, 188, 53, 6190, 518, 4168, 348, 248, 9475, 286, 16781, 16, 188, 7676, 6438, 7728, 14, 16968, 8377, 24619, 390, 500, 23063, 33, 188, 44, 263, 47949, 311, 417, 1157, 387, 4864, 668, 520, 13639, 16, 188, 43, 1038, 625, 961, 368, 282, 11454, 775, 597, 16, 188, 1212, 1856, 625, 321, 2041, 282, 1336, 6714, 4730, 16, 188, 23575, 256, 12695, 4221, 4243, 6068, 16, 188, 43, 2035, 282, 1970, 5518, 37368, 748, 4448, 16, 188, 43, 1328, 6829, 310, 8290, 21265, 4470, 16, 188, 23376, 16264, 569, 749, 345, 1817, 513, 520, 30950, 1063, 8725, 16, 188, 2275, 472, 286, 12081, 403, 4731, 8143, 276, 254, 1689, 2244, 16, 188, 38, 2726, 311, 2367, 328, 248, 743, 4358, 16, 188, 56, 382, 7316, 27657, 1480, 1181, 7122, 16, 188, 510, 4663, 2020, 3432, 625, 3103, 276, 254, 7621, 16, 188, 45, 7491, 1102, 520, 19998, 434, 1668, 25992, 14, 533, 345, 2144, 2362, 841, 616, 2393, 14, 20369, 4221, 16, 188, 3916, 368, 961, 479, 282, 2241, 282, 427, 4039, 25267, 668, 327, 33, 188, 23451, 753, 311, 248, 1247, 12017, 16, 188, 35192, 466, 311, 3061, 561, 10399, 343, 688, 274, 520, 3732, 16, 0, 1853, 5234, 276, 272, 4182, 5156, 1470, 626, 403, 2006, 4466, 2066, 282, 751, 633, 3379, 2244, 2632, 286, 43571, 324, 10243, 2292, 314, 2798, 1985, 1470, 481, 10770, 310, 747, 282, 3624, 1495, 4360, 324, 3379, 2244, 2632, 286, 43571, 324, 10243, 28, 4117, 906, 1224, 29820, 9241, 314, 29276, 28, 4117, 11, 5961, 1495, 4360, 28, 380, 4117, 15976, 29123, 41282, 16, 188, 15062, 311, 2485, 343, 695, 1450, 34118, 4301, 48169, 14, 19587, 14, 4953, 16, 731, 555, 248, 4022, 32044, 19122, 5352, 338, 19, 16, 18, 18, 18, 942, 276, 2194, 5770, 276, 1015, 4203, 286, 1499, 4661, 28, 254, 1928, 2016, 14, 5974, 14, 2963, 14, 254, 10240, 5626, 14, 10223, 11241, 286, 12408, 3840, 16, 314, 15062, 34516, 11, 4117, 311, 248, 6480, 324, 22719, 5616, 53, 314, 2370, 1224, 20858, 348, 248, 6454, 11, 348, 4618, 407, 443, 435, 1198, 314, 18057, 1775, 2076, 602, 14, 443, 435, 1198, 354, 51, 22719, 5616, 53, 374, 18, 19, 24, 481, 4117, 10482, 403, 23422, 328, 254, 12811, 4726, 51, 314, 43782, 12703, 481, 188, 1253, 807, 353, 7948, 282, 633, 15657, 3379, 14053, 33, 188, 510, 4117, 15976, 29123, 41282, 314, 11486, 41, 11, 311, 248, 8770, 2497, 260, 469, 22683, 43571, 324, 10243, 15214, 14, 43571, 324, 10243, 14, 418, 6488, 374, 18, 19, 21, 14, 418, 6488, 374, 18, 19, 18, 286, 388, 16, 21, 20, 21, 17, 53, 3023, 3379, 28897, 16, 380, 20179, 41, 11920, 748, 311, 3435, 276, 1162, 17, 53, 3023, 15, 19611, 286, 14634, 254, 1052, 282, 254, 4426, 11768, 1209, 20594, 16, 14674, 327, 23950, 13850, 17, 1634, 2130, 403, 11204, 603, 3202, 327, 3379, 5351, 286, 14053, 476, 1354, 1619, 348, 5864, 16, 188, 686, 7012, 436, 802, 14, 17847, 679, 286, 9409, 5968, 327, 596, 785, 328, 18187, 248, 3379, 732, 2145, 1402, 2497, 276, 254, 8770, 282, 751, 633, 3379, 2244, 2632, 286, 43571, 324, 10243, 15214, 2292, 314, 2337, 1333, 2614, 16, 17848, 679, 16, 679, 17, 24769, 17, 13238, 17, 6913, 15, 47420, 17, 20, 18, 19, 24, 17, 20, 18, 19, 24, 18, 21, 18, 27, 16, 2880, 14, 3817, 1333, 2614, 16, 315, 8833, 958, 1310, 16, 679, 17, 29416, 15, 21, 24, 23, 17, 22030, 15, 3214, 273, 15, 29416, 15, 21, 24, 23, 15, 31111, 15, 18002, 15, 21923, 15, 16003, 17, 481, 310, 11448, 1074, 248, 14053, 3026, 343, 756, 580, 390, 254, 642, 2811, 16, 5431, 346, 44529, 286, 14053, 8517, 932, 452, 643, 5511, 286, 6707, 687, 671, 14, 348, 7119, 16, 12182, 417, 7919, 254, 2525, 2705, 286, 14053, 2705, 276, 254, 3925, 348, 2165, 282, 248, 13742, 286, 5384, 14053, 2497, 6564, 16, 1260, 368, 774, 865, 14, 603, 368, 452, 248, 29618, 867, 274, 3379, 2244, 2632, 432, 43487, 14, 26304, 266, 899, 14, 17847, 679, 7925, 328, 580, 1874, 286, 43571, 324, 10243, 4076, 328, 254, 642, 1874, 2778, 417, 5167, 532, 2156, 2066, 286, 1794, 6326, 2778 ]
[ 1, 23754, 19, 4, 926, 17423, 6892, 15205, 14635, 23111, 85, 4, 2384, 2863, 14, 63, 926, 15023, 6892, 15205, 14635, 23111, 85, 4, 2384, 2863, 14, 63, 647, 603, 20409, 311, 417, 8037, 28, 926, 603, 1195, 10, 562, 21162, 11, 381, 4, 18, 1356, 1003, 20409, 23754, 19, 4, 926, 17423, 6892, 15205, 562, 21162, 23111, 85, 4, 2384, 20409, 14, 63, 926, 15023, 6892, 15205, 562, 21162, 23111, 85, 4, 2384, 20409, 14, 63, 647, 603, 480, 3938, 28, 926, 1827, 16, 29218, 1551, 76, 3938, 4616, 12489, 324, 2951, 2384, 85, 4, 2384, 1827, 16, 1554, 11, 647, 603, 8249, 10, 12573, 11, 2170, 470, 390, 8249, 10, 484, 4812, 11, 2170, 470, 390, 8249, 10, 3374, 4812, 11, 2170, 470, 28, 926, 867, 21502, 426, 15205, 1160, 21502, 985, 34676, 985, 63, 558, 18368, 926, 603, 8249, 10, 484, 4812, 11, 2170, 470, 28, 1003, 867, 21502, 6892, 15205, 484, 4812, 11469, 985, 63, 558, 17423, 558, 543, 976, 985, 63, 926, 603, 8249, 10, 3374, 4812, 11, 2170, 470, 28, 1003, 867, 21502, 6892, 15205, 3374, 4812, 11469, 985, 63, 558, 15023, 558, 543, 976, 985, 63, 926, 867, 21502, 6892, 543, 976, 985, 63, 926, 9521, 8335, 10, 1262, 16, 1229, 1554, 14, 867, 21502, 11, 534, 0, 5, 43384, 12088, 28, 17371, 15, 26, 43384, 188, 2855, 11555, 188, 2855, 671, 188, 2855, 7481, 188, 3933, 671, 1369, 8657, 188, 3933, 35355, 1369, 35355, 14, 2668, 14, 11957, 265, 1809, 210, 188, 2855, 20272, 188, 3933, 10513, 288, 824, 273, 1369, 12293, 188, 2855, 6121, 273, 14, 10513, 288, 824, 273, 188, 188, 3933, 296, 11180, 27250, 4514, 16, 2087, 733, 1369, 4622, 3434, 188, 3933, 296, 11180, 27250, 4514, 16, 5310, 1369, 47549, 35193, 188, 3933, 296, 11180, 27250, 4514, 16, 18293, 1369, 16579, 32478, 188, 3933, 296, 11180, 27250, 4514, 16, 18293, 16, 4643, 20420, 1369, 475, 188, 188, 3933, 296, 11180, 27250, 4514, 16, 5238, 1369, 15582, 65, 38511, 14, 8674, 65, 13392, 14, 22411, 14, 50, 18043, 14, 36062, 8674, 9284, 188, 3933, 296, 11180, 27250, 4514, 16, 2087, 733, 16, 9189, 3434, 1369, 34057, 1520, 65, 38511, 65, 3023, 14, 47, 14376, 3404, 36, 65, 13392, 65, 24576, 188, 188, 5, 495, 27, 27, 18, 18, 19, 16, 46750, 210, 34732, 112, 9254, 114, 21323, 33521, 6067, 19, 27, 27, 23, 15, 19, 15, 20, 21, 16278, 40673, 6067, 41590, 31814, 5772, 225, 45715, 21372, 19, 27, 27, 19, 15, 22, 15, 21, 188, 5, 495, 27, 27, 18, 18, 23, 16, 46750, 210, 13239, 28489, 12327, 126, 33521, 6067, 20, 18, 18, 24, 15, 19, 15, 20, 22, 16278, 40673, 6067, 41590, 31814, 5772, 225, 45715, 21372, 20, 18, 18, 23, 15, 24, 15, 25, 188, 5, 495, 27, 27, 18, 18, 24, 16, 46750, 210, 6584, 239, 3114, 238, 12327, 126, 33521, 6067, 20, 18, 19, 18, 15, 24, 15, 19, 188, 5, 470, 18, 18, 18, 18, 19, 16, 5484, 210, 16278, 11573, 213, 12403, 123, 33521, 6067, 19, 27, 27, 19, 15, 25, 15, 19, 23, 16278, 40673, 6067, 41590, 31814, 5772, 225, 45715, 21372, 19, 27, 27, 18, 15, 19, 20, 15, 19, 27, 188, 5, 470, 18, 18, 21, 18, 18, 16, 5484, 17, 21, 27, 27, 21, 18, 18, 16, 46750, 210, 21622, 106, 34732, 112, 21, 18, 18, 6067, 20, 18, 18, 23, 15, 22, 15, 26, 16278, 40673, 6067, 41590, 31814, 5772, 225, 45715, 21372, 20, 18, 18, 20, 15, 19, 15, 22, 188, 4519, 65, 3434, 426, 15205, 21, 27, 27, 18, 18, 19, 16, 46750, 6447, 21, 27, 27, 18, 18, 23, 16, 46750, 6447, 21, 27, 27, 18, 18, 24, 16, 46750, 6447, 18, 18, 18, 18, 18, 19, 16, 5484, 6447, 18, 18, 18, 21, 18, 18, 16, 5484, 9431, 188, 188, 70, 22221, 426, 20272, 16, 784, 25540, 1067, 188, 188, 89, 83, 426, 8037, 188, 188, 1510, 1954, 65, 2720, 14439, 477, 278, 22221, 16, 1160, 12663, 10, 34832, 16, 18289, 11, 1465, 270, 74, 426, 20272, 16, 4365, 9049, 2012, 2720, 17, 5310, 10889, 16, 2720, 3291, 342, 477, 448, 426, 20272, 16, 7879, 9049, 1067, 210, 1465, 825, 2487, 426, 20272, 16, 34901, 2012, 61, 44366, 285, 292, 552, 11, 85, 63, 2384, 10, 8335, 11, 85, 3291, 34602, 270, 74, 16, 1160, 34901, 10, 45565, 11, 34602, 448, 16, 1160, 34901, 10, 45565, 11, 7915, 278, 22221, 16, 1855, 9049, 10, 29468, 11, 34602, 278, 22221, 16, 1855, 9049, 10, 349, 11, 188, 188, 5, 12835, 5566, 276, 16849, 4719, 282, 3054, 2949, 188, 1510, 5566, 65, 20663, 10, 10889, 65, 3434, 14, 13689, 14, 5318, 65, 1183, 31, 35007, 16, 38264, 5550, 423, 65, 1183, 31, 35007, 16, 38264, 1067, 2192, 1030, 477, 1954, 65, 2720, 1067, 477, 278, 22221, 16, 5216, 2012, 61, 7, 85, 63, 10101, 5566, 1213, 2956, 28627, 2384, 314, 375, 16, 784, 4102, 31677, 1465, 260, 38020, 426, 16579, 32478, 16, 57, 2046, 7841, 1067, 1465, 14036, 65, 2617, 14, 20420, 65, 3434, 426, 751, 65, 20420, 65, 2617, 10, 5310, 11, 477, 3270, 1551, 5310, 23111, 85, 14, 1320, 23111, 85, 14, 6198, 23111, 70, 4, 2384, 10, 5310, 14, 20420, 65, 2617, 14, 4874, 10, 10889, 65, 3434, 10409, 1465, 5566, 65, 3176, 426, 8249, 10, 10889, 65, 3434, 11, 1465, 1922, 65, 5310, 426, 47549, 35193, 16, 47, 18556, 8674, 1067, 477, 18978, 65, 5310, 246, 426, 47549, 35193, 16, 47, 18556, 8674, 10, 8674, 65, 38511, 14, 8674, 65, 13392, 14, 22411, 14, 50, 18043, 14, 36062, 8674, 9284, 11, 477, 4293, 65, 5397, 14, 12222, 65, 5397, 31, 470, 14, 18, 1465, 1242, 426, 8657, 1067, 1465, 324, 480, 276, 2413, 10, 10889, 65, 3176, 2192, 647, 5574, 65, 1554, 426, 5566, 65, 3434, 61, 76, 63, 23881, 5574, 65, 2137, 426, 260, 38020, 16, 784, 65, 21643, 65, 2137, 10, 17260, 65, 1554, 14, 20420, 65, 2617, 14, 5318, 65, 1183, 14, 423, 65, 1183, 11, 2621, 603, 5574, 65, 2137, 16, 4608, 5954, 2224, 470, 28, 926, 1922, 65, 5310, 16, 14837, 65, 2137, 10, 5310, 14, 17260, 65, 1554 ]
[ 1, 3821, 14, 4859, 1873, 348, 254, 14782, 2442, 14, 555, 643, 18187, 254, 1575, 327, 25922, 961, 1544, 338, 27, 26, 22, 16, 826, 27829, 1575, 4304, 3290, 9567, 274, 19839, 286, 8587, 8935, 282, 751, 368, 830, 368, 961, 282, 563, 16, 188, 19300, 281, 338, 20, 18, 18, 549, 5867, 15, 39546, 265, 26514, 8712, 10514, 28, 3844, 2139, 15, 14992, 1625, 8712, 369, 4131, 328, 13005, 14, 1575, 14, 286, 327, 25986, 9041, 3751, 16, 380, 26514, 8712, 3821, 5961, 512, 1241, 1205, 1311, 5123, 4829, 3277, 747, 6864, 7045, 8601, 286, 27458, 16963, 9590, 16, 188, 510, 8443, 2877, 14194, 1503, 321, 248, 24904, 1051, 6234, 13325, 14, 532, 353, 669, 3290, 688, 1017, 956, 5787, 282, 1920, 368, 3435, 888, 324, 624, 16, 188, 4119, 5596, 15, 5519, 1011, 256, 28, 380, 763, 15, 484, 7126, 328, 254, 8443, 2877, 14194, 311, 756, 495, 18, 16, 27, 12691, 742, 254, 3112, 14, 593, 353, 457, 85, 3364, 282, 4069, 597, 14, 8265, 742, 254, 1431, 14, 390, 867, 248, 3071, 1051, 387, 248, 1665, 16, 14414, 14, 254, 6708, 7126, 7526, 28478, 3360, 286, 1920, 368, 286, 633, 15388, 5058, 16, 188, 41511, 1482, 4675, 14880, 15, 2466, 1572, 3988, 343, 5564, 15, 9371, 28, 731, 3809, 756, 248, 3055, 11285, 13619, 282, 867, 254, 30309, 637, 15, 2711, 328, 254, 10305, 37591, 6779, 14, 593, 368, 476, 1845, 11580, 276, 254, 5715, 1232, 368, 872, 324, 633, 9297, 16, 188, 510, 8443, 2877, 14194, 1503, 321, 17740, 14, 532, 353, 5961, 9567, 274, 254, 6151, 4163, 16, 188, 38, 776, 14867, 15368, 12608, 8359, 343, 44460, 834, 21656, 640, 28, 380, 8518, 1239, 2824, 35231, 343, 14560, 3872, 640, 1862, 368, 254, 15468, 1575, 368, 961, 14, 512, 1205, 10292, 1637, 19161, 3377, 282, 11073, 254, 35231, 16, 188, 42, 15, 38, 14194, 19206, 8809, 4021, 314, 34935, 2192, 2640, 436, 6873, 3860, 975, 7826, 14, 368, 476, 321, 12864, 327, 633, 13325, 311, 6702, 670, 368, 3109, 1919, 16, 380, 3860, 975, 8135, 29115, 670, 368, 3437, 254, 13325, 6524, 282, 248, 11426, 2165, 72, 704, 16, 188, 35012, 15, 18167, 12608, 8359, 314, 34935, 2192, 731, 457, 85, 3364, 282, 3355, 1051, 276, 248, 23509, 670, 368, 5053, 282, 14631, 282, 254, 3165, 15, 4208, 22883, 975, 14, 348, 353, 13868, 34248, 9278, 5406, 484, 1285, 1837, 37461, 16, 0, 6128, 248, 4631, 1280, 16, 16325, 633, 1193, 1499, 14, 1002, 248, 9791, 6956, 274, 353, 14, 311, 1837, 785, 3, 188, 1130, 555, 1845, 643, 248, 628, 274, 618, 4713, 282, 751, 348, 1181, 18549, 348, 310, 11728, 807, 286, 310, 452, 282, 1309, 353, 457, 85, 2367, 561, 16, 188, 21115, 1511, 785, 328, 254, 2603, 457, 85, 30426, 311, 2152, 286, 17963, 324, 27143, 15178, 286, 1773, 2456, 16, 188, 510, 6689, 7873, 9472, 555, 643, 867, 276, 4558, 324, 3425, 22435, 343, 248, 1612, 2379, 13619, 282, 254, 490, 308, 932, 282, 4842, 248, 4422, 274, 3265, 16, 731, 457, 85, 15353, 6952, 1919, 1205, 12660, 2456, 563, 276, 16, 188, 5910, 41415, 15373, 555, 18447, 4680, 254, 279, 1169, 609, 532, 436, 311, 4214, 33963, 742, 324, 254, 944, 628, 286, 587, 321, 360, 7974, 14, 8243, 1659, 14, 3838, 670, 353, 512, 3144, 2292, 14, 387, 688, 20613, 1110, 276, 254, 2764, 14, 390, 4895, 276, 254, 2391, 16, 1395, 865, 748, 2958, 6791, 266, 403, 747, 16, 188, 3992, 254, 10431, 274, 254, 24247, 432, 254, 30426, 282, 254, 378, 7196, 38142, 3843, 687, 8079, 555, 282, 321, 867, 276, 16, 188, 43, 457, 307, 17433, 254, 3425, 274, 254, 2218, 3843, 282, 254, 2603, 343, 248, 8353, 1110, 286, 20012, 324, 539, 251, 4102, 2849, 398, 16, 380, 1802, 41164, 5976, 759, 4264, 254, 3843, 343, 248, 27226, 324, 7970, 340, 398, 432, 254, 4994, 16, 188, 43, 1623, 452, 282, 1242, 6813, 4536, 668, 254, 3843, 687, 8079, 286, 4987, 16, 826, 3179, 6806, 348, 248, 47656, 2654, 1480, 286, 555, 282, 18522, 248, 1643, 3408, 286, 2539, 2218, 282, 254, 4994, 16, 826, 369, 4131, 1026, 1063, 665, 4829, 25651, 457, 6806, 14, 593, 353, 457, 85, 2692, 282, 321, 811, 4867, 1051, 16, 188, 14259, 311, 1247, 670, 310, 3954, 254, 1499, 16, 3845, 1362, 274, 7012, 14, 3402, 16, 0, 510, 3278, 4236, 274, 248, 8404, 432, 20120, 282, 33870, 311, 370, 19, 14, 18, 25, 20, 16, 6901, 282, 865, 327, 368, 774, 13914, 282, 751, 688, 338, 18, 7803, 5557, 6400, 324, 248, 8404, 747, 436, 16, 330, 8404, 432, 20120, 282, 33870, 587, 321, 1444, 370, 19, 14, 19, 24, 20, 1285, 1656, 4149, 2858, 5562, 353, 4699, 1017, 387, 254, 671, 274, 1017, 2858, 16, 1395, 1503, 961, 282, 865, 327, 254, 44034, 8404, 6705, 276, 254, 2391, 802, 311, 669, 1157, 14, 811, 370, 25, 19, 24, 391, 17, 86, 324, 248, 1928, 28188, 8404, 1102, 324, 4109, 374, 18, 19, 21, 328, 401, 608, 463, 1412, 16, 188, 14506, 788, 4149, 2858, 311, 3850, 282, 4087, 276, 33870, 3004, 2257, 72, 4280, 587, 944, 2692, 2411, 1062, 19402, 1444, 327, 671, 16, 26308, 327, 368, 403, 11871, 324, 624, 17740, 4060, 373, 14, 360, 1754, 368, 3437, 1285, 4452, 282, 4929, 14, 324, 1656, 2858, 14, 974, 683, 7702, 774, 321, 624, 23621, 16, 839, 1141, 327, 9155, 254, 6633, 383, 671, 282, 4149, 282, 254, 2758, 432, 20120, 311, 869, 12059, 14, 276, 3793, 282, 2470, 286, 4257, 282, 4297, 16, 188, 510, 19502, 8404, 3435, 713, 33870, 311, 495, 14, 18, 23, 25, 6400, 1034, 286, 353, 3144, 432, 34363, 22834, 5461, 14, 34363, 16, 188, 2721, 16099, 555, 1652, 338, 13571, 3256, 1869, 33870, 17806, 16, 188, 510, 4502, 8404, 2884, 869, 20120, 286, 33870, 311, 607, 14, 18, 23, 23, 6400, 314, 26, 14, 19, 21, 23, 27669, 11, 533, 2034, 368, 933, 10077, 324, 248, 7119, 338, 25, 2942, 286, 576, 22, 2819, 1034, 9205, 16, 188, 510, 19502, 8404, 4832, 432, 33870, 311, 1438, 282, 13165, 286, 353, 457, 85, 495, 14, 19, 23, 19, 6400, 314, 23, 14, 18, 25 ]
[ 1, 633, 20110, 16, 3783, 890, 26, 15, 21, 24, 24, 43626, 587, 1862, 368, 30695, 3277, 286, 1012, 626, 587, 321, 641, 5805, 663, 4699, 45060, 407, 9409, 890, 26, 15, 21, 24, 24, 20253, 3609, 16, 12608, 526, 10352, 311, 8920, 18899, 5437, 2395, 5493, 324, 633, 6151, 354, 7453, 890, 26, 15, 21, 24, 24, 9409, 4242, 1707, 3609, 20110, 286, 2780, 479, 29, 368, 587, 1663, 387, 254, 1708, 16, 9409, 890, 26, 15, 21, 24, 24, 1056, 6915, 3783, 2049, 343, 9055, 10419, 273, 10696, 2178, 924, 3379, 28561, 368, 452, 254, 6939, 3277, 282, 10077, 512, 254, 12633, 274, 633, 1156, 16, 1997, 436, 2687, 12608, 526, 10352, 15575, 282, 13905, 16523, 1544, 353, 555, 2378, 30270, 5437, 2395, 3956, 282, 1041, 368, 4558, 16, 6151, 890, 26, 15, 21, 24, 24, 261, 2529, 587, 563, 1477, 811, 407, 254, 20549, 274, 9055, 890, 26, 15, 21, 24, 24, 278, 10352, 286, 368, 587, 417, 12386, 33349, 633, 14852, 276, 671, 20699, 8379, 4100, 2229, 9724, 2339, 37, 12098, 731, 311, 7282, 282, 751, 254, 6915, 747, 12608, 526, 10352, 286, 3277, 747, 3462, 274, 436, 1056, 3821, 403, 4782, 324, 9055, 890, 26, 15, 21, 24, 24, 3379, 3609, 20110, 16, 21041, 1038, 625, 961, 282, 1354, 890, 26, 15, 21, 24, 24, 6151, 20253, 3609, 974, 596, 452, 254, 6151, 6151, 890, 26, 15, 21, 24, 24, 7294, 69, 11134, 324, 615, 20110, 16, 21221, 6524, 282, 12608, 526, 10352, 663, 555, 1143, 633, 890, 26, 15, 21, 24, 24, 10419, 273, 10696, 2178, 924, 9409, 261, 2529, 3783, 5384, 407, 5123, 368, 40345, 1923, 5437, 2395, 5493, 16, 890, 26, 15, 21, 24, 24, 3300, 1056, 9132, 3783, 343, 9409, 890, 26, 15, 21, 24, 24, 354, 7453, 9055, 21350, 1056, 403, 2151, 282, 7250, 899, 843, 13296, 5785, 12608, 526, 10352, 785, 324, 633, 6450, 2764, 16, 21041, 452, 1012, 254, 4311, 5437, 2395, 1026, 276, 1316, 282, 10077, 615, 890, 26, 15, 21, 24, 24, 6151, 4242, 1707, 3609, 286, 436, 1026, 587, 1394, 729, 4264, 2251, 16, 9409, 10419, 273, 10696, 2178, 924, 354, 7453, 1056, 4605, 587, 9537, 368, 6378, 1538, 286, 9409, 890, 26, 15, 21, 24, 24, 354, 7453, 9055, 1056, 13352, 555, 254, 1640, 2811, 16, 22303, 633, 671, 286, 2501, 348, 963, 348, 12608, 526, 10352, 311, 13454, 368, 939, 254, 26366, 5493, 16, 890, 26, 15, 21, 24, 24, 9409, 354, 7453, 5035, 9282, 3783, 286, 354, 7453, 890, 26, 15, 21, 24, 24, 9409, 3783, 5022, 3821, 587, 321, 2151, 282, 1354, 974, 596, 10077, 368, 8611, 16, 7683, 633, 12464, 276, 248, 1026, 533, 807, 1862, 368, 254, 1640, 10637, 286, 890, 26, 15, 21, 24, 24, 9055, 261, 2529, 587, 321, 4667, 343, 2251, 16, 6151, 354, 7453, 890, 26, 15, 21, 24, 24, 9409, 21350, 3819, 1056, 286, 9409, 890, 26, 15, 21, 24, 24, 1240, 4605, 587, 9260, 633, 14852, 276, 248, 743, 1026, 286, 368, 587, 4717, 30695, 10597, 16, 0, 9371, 5306, 971, 38515, 1230, 19386, 789, 14, 771, 1514, 3838, 16, 188, 10312, 274, 254, 4807, 286, 41144, 15, 39946, 5445, 16, 188, 10023, 304, 2116, 10228, 286, 14025, 45118, 276, 254, 4472, 4351, 16, 188, 19318, 286, 18195, 324, 254, 5537, 6082, 16, 188, 22795, 274, 254, 5537, 6082, 276, 254, 4472, 4351, 16, 0, 510, 15905, 1955, 2344, 369, 2828, 328, 6612, 374, 27, 394, 3793, 374, 18, 19, 27, 387, 15121, 7438, 411, 2789, 18743, 16, 19215, 2139, 418, 44756, 14, 44105, 11821, 286, 33372, 25649, 3836, 14, 40459, 854, 11821, 432, 12420, 3313, 14740, 6640, 11298, 254, 2288, 343, 763, 3371, 14, 500, 792, 286, 9825, 16, 6123, 3371, 403, 1527, 248, 374, 15, 2823, 12257, 33918, 324, 2784, 942, 343, 4569, 12396, 16, 380, 13153, 41530, 2784, 942, 282, 1263, 5503, 6750, 324, 254, 5342, 282, 32206, 16, 380, 14740, 25830, 286, 40459, 854, 387, 12420, 3313, 14, 2023, 785, 8227, 324, 3371, 282, 6179, 6973, 286, 2941, 7528, 2497, 6750, 16, 188, 1590, 1212, 403, 24697, 282, 452, 1856, 374, 2046, 1619, 276, 254, 19596, 25830, 6951, 14, 19215, 2139, 14, 254, 3371, 286, 616, 2214, 785, 1623, 1837, 282, 2023, 248, 4474, 5081, 274, 3462, 324, 254, 3015, 16, 47916, 18442, 2756, 254, 17212, 286, 6073, 2066, 16, 330, 14724, 19224, 16, 5919, 2152, 282, 512, 3103, 1397, 3093, 43829, 39090, 3473, 14, 11413, 17, 46058, 12420, 3313, 14740, 9948, 16, 0, 26414, 4558, 324, 633, 1887, 1362, 33, 1258, 441, 751, 368, 31849, 286, 1041, 2056, 633, 8356, 311, 348, 9415, 3065, 348, 633, 11812, 7417, 16, 188, 510, 27361, 706, 30923, 444, 15868, 4615, 338, 2260, 22415, 286, 338, 11812, 22415, 16, 188, 510, 27361, 706, 30923, 444, 15868, 4615, 338, 22415, 706, 338, 4013, 2011, 8714, 586, 9705, 29573, 2886, 6692, 16, 188, 510, 2568, 504, 390, 443, 4321, 14093, 248, 46370, 4013, 2011, 43795, 31962, 834, 1830, 4666, 20, 20, 1294, 11, 670, 368, 7274, 665, 338, 274, 254, 46784, 11819, 1788, 16, 1286, 368, 7274, 374, 11819, 14, 368, 4615, 3893, 254, 443, 14562, 16, 188, 510, 27361, 706, 30923, 444, 15868, 4615, 374, 4013, 2011, 8714, 586, 9705, 29573, 2886, 11824, 16, 188, 11988, 633, 22415, 374, 15, 21, 1842, 1063, 633, 46784, 17, 47300, 11526, 16, 188, 2148, 6158, 274, 2482, 14, 1218, 668, 247, 7329, 3640, 706, 34516, 434, 328, 772, 4282, 16, 188, 2148, 248, 31748, 8356, 14, 1218, 254, 12298, 328, 772, 4282, 16, 0, 10186, 772, 671, 2292, 14, 360, 587, 6429, 254, 33659, 276, 615, 5157, 18846, 274, 10554, 14, 448, 24987, 286, 15411, 29, 360, 587, 452, 254, 4954, 282, 3768, 772, 2501, 6109, 14, 348, 360, 1872, 4558, 29, 360, 587, 452, 671, 282, 4126, 254, 5230, 9643, 274, 16267, 91, 3867, 29, 286, 360, 587, 2120, 580, 1495, 276, 14161, 16, 826, 18469, 774, 5587, 348, 272, 328, 15, 84, 1277, 324, 1093, 663, 5565, 282, 6429, 248, 11230, 28526, 29, 353, 774, 669, 5587, 348, 248, 9604, 1431, 15, 20984, 2705, 16, 731, 311, 5864, 324, 1093, 663, 865, 3622, 282, 452, 769, 2965, 683 ]
[ 1, 14, 353, 457, 85, 641, 4140, 748, 254, 2456, 274, 327, 13839, 403, 1438, 282, 321, 28, 353, 457, 85, 417, 1438, 282, 452, 665, 1040, 23822, 328, 254, 31868, 9209, 14, 324, 1610, 14, 532, 5440, 587, 1336, 254, 20572, 2873, 276, 4890, 286, 15701, 282, 1920, 2126, 661, 1061, 615, 4403, 274, 9694, 328, 254, 31868, 2974, 543, 75, 16, 71, 16, 939, 254, 1924, 15, 1055, 37630, 1534, 5919, 14, 327, 311, 1594, 310, 513, 417, 1141, 248, 9197, 1408, 650, 961, 282, 7948, 282, 16, 188, 3992, 368, 14, 633, 42960, 474, 36296, 5618, 407, 254, 948, 368, 1862, 254, 12695, 274, 479, 671, 274, 1362, 14, 587, 946, 327, 12342, 2951, 16, 19236, 587, 417, 14, 286, 596, 561, 8896, 368, 16, 20877, 348, 1218, 327, 254, 2951, 311, 282, 1885, 274, 6797, 1771, 457, 85, 3367, 274, 36540, 14, 596, 457, 619, 1477, 328, 254, 838, 454, 286, 3191, 343, 254, 1964, 3802, 14, 27854, 8068, 3622, 387, 695, 2722, 328, 1129, 1755, 7976, 939, 615, 33944, 16, 14368, 14, 24561, 407, 2714, 18462, 1771, 1035, 11328, 15787, 596, 457, 619, 25648, 520, 3367, 274, 36540, 348, 11156, 16, 188, 1843, 436, 1091, 348, 310, 457, 307, 19899, 624, 683, 2304, 276, 254, 3514, 274, 7227, 14, 274, 12378, 286, 274, 16634, 1091, 311, 1495, 36457, 432, 254, 22190, 22578, 4817, 11242, 16, 2807, 23606, 440, 42411, 4079, 3790, 14, 835, 960, 729, 282, 27701, 3436, 565, 282, 642, 440, 42411, 4079, 3790, 14, 772, 32603, 532, 22504, 3320, 11311, 403, 5157, 17933, 16, 188, 54, 408, 360, 7415, 360, 457, 307, 573, 2151, 16, 188, 1737, 378, 13750, 4245, 14, 1315, 479, 1956, 561, 327, 4250, 41491, 12270, 14, 2714, 5213, 358, 11551, 91, 14960, 310, 457, 307, 3427, 1063, 328, 2714, 67, 31666, 315, 13593, 281, 382, 19382, 282, 6429, 254, 19610, 29, 282, 1806, 1004, 743, 3979, 348, 6824, 286, 1269, 18879, 14960, 826, 14542, 282, 1806, 12378, 348, 603, 9011, 286, 29105, 8487, 457, 86, 4448, 14, 26662, 348, 603, 22051, 286, 7168, 274, 642, 1924, 261, 2058, 8487, 457, 86, 1996, 14, 311, 27807, 407, 327, 2714, 5213, 358, 11551, 91, 457, 2306, 16, 5403, 3033, 286, 28942, 35491, 14, 353, 4107, 1093, 663, 8517, 353, 11657, 432, 665, 28984, 282, 1240, 5957, 16, 188, 40, 565, 15, 85, 2747, 286, 1851, 353, 1081, 3956, 24455, 939, 12421, 3310, 16, 1260, 22190, 286, 44483, 403, 11897, 282, 771, 2959, 4595, 457, 85, 769, 85, 2605, 2450, 456, 975, 274, 22578, 7324, 593, 1480, 403, 2342, 1628, 1322, 747, 28867, 8083, 286, 5916, 4064, 4058, 303, 11897, 282, 254, 22190, 16, 6123, 14805, 31606, 275, 36772, 282, 16870, 286, 888, 1091, 286, 513, 254, 1057, 343, 1093, 9804, 14, 432, 11938, 3309, 5057, 282, 7296, 416, 3938, 286, 16955, 5614, 336, 14, 4475, 274, 13577, 15, 44491, 3790, 1385, 775, 1091, 532, 13622, 615, 33433, 568, 407, 24258, 597, 16065, 599, 9799, 282, 4524, 11881, 596, 513, 593, 1181, 282, 1862, 3709, 282, 16, 188, 12054, 26662, 33, 380, 2978, 5898, 403, 328, 8571, 657, 16, 188, 43, 4316, 338, 27, 25, 21, 286, 254, 17123, 276, 22051, 286, 11691, 23807, 274, 963, 13801, 12287, 561, 328, 254, 9931, 7895, 22730, 406, 5997, 286, 835, 254, 15105, 6109, 274, 14738, 286, 35862, 942, 286, 6582, 36212, 16, 1286, 360, 961, 282, 7957, 41920, 13188, 3089, 615, 2504, 713, 35942, 4903, 1468, 1717, 360, 872, 417, 997, 1062, 2019, 432, 772, 1193, 39082, 3, 188, 43, 4316, 1480, 14, 33586, 16, 2514, 5348, 15, 2641, 1129, 327, 41204, 3748, 16897, 22051, 267, 18822, 1091, 1648, 248, 1603, 28159, 19791, 3648, 3, 1091, 663, 18298, 772, 4326, 1181, 315, 16, 188, 43, 1038, 457, 86, 324, 248, 2687, 5382, 353, 14, 321, 8275, 16, 188, 8177, 368, 324, 13283, 328, 26662, 16, 839, 872, 282, 40064, 2292, 387, 436, 671, 276, 1305, 274, 254, 14493, 8510, 5214, 10268, 3792, 6797, 1771, 16, 2512, 436, 2951, 324, 1949, 9377, 1460, 14, 4376, 407, 35371, 663, 2748, 2622, 254, 2471, 16, 188, 7849, 324, 254, 2951, 14, 18313, 75, 16, 399, 3708, 561, 1012, 324, 2849, 343, 248, 15146, 5631, 14, 532, 310, 457, 619, 2374, 561, 1938, 2966, 16, 188, 7849, 657, 579, 16, 310, 457, 79, 1845, 5940, 670, 10394, 329, 6438, 248, 1628, 3709, 5158, 16, 22761, 670, 14, 348, 343, 436, 286, 6844, 274, 1364, 4028, 457, 85, 22115, 17680, 328, 12378, 14, 353, 476, 321, 20009, 713, 1495, 2889, 328, 3653, 1091, 343, 254, 2508, 26628, 819, 24503, 2427, 457, 86, 4955, 758, 2714, 36448, 457, 20121, 7063, 568, 16, 19329, 327, 282, 29105, 286, 42739, 26422, 3, 0, 16238, 274, 1530, 4793, 286, 2949, 324, 14382, 7980, 387, 580, 2365, 44104, 8065, 314, 13816, 481, 13796, 2213, 413, 1460, 17203, 314, 35, 1811, 11, 369, 900, 282, 7275, 254, 3106, 900, 324, 254, 4616, 1296, 931, 867, 16, 416, 20, 331, 286, 5076, 1563, 6106, 2160, 314, 25983, 2282, 11, 497, 900, 282, 7275, 254, 2860, 869, 254, 2458, 286, 7917, 5363, 6867, 2127, 407, 9184, 14261, 1530, 3482, 324, 4616, 1296, 286, 12468, 931, 5085, 16, 7023, 1500, 314, 82, 653, 470, 16, 18, 23, 11, 3106, 403, 1953, 16, 0, 1516, 311, 248, 495, 24, 1722, 16489, 593, 1286, 368, 5416, 1773, 12174, 390, 367, 36764, 4105, 9938, 12174, 47576, 16, 679, 311, 248, 14670, 4877, 324, 633, 1773, 10786, 2072, 16, 826, 311, 248, 3944, 4877, 327, 360, 452, 9380, 324, 1090, 16, 5066, 626, 311, 248, 495, 24, 1722, 16489, 343, 7624, 4466, 39526, 10366, 1448, 1395, 476, 563, 282, 254, 4877, 324, 624, 8464, 16, 0, 2853, 2851, 248, 9748, 282, 248, 9498, 14, 286, 9569, 14, 35244, 14, 2456, 286, 3981, 14544, 16, 188, 1934, 5811, 254, 3189, 286, 2150, 274, 272, 2774, 9498, 4400, 16, 188, 2300, 254, 11100, 10064, 14, 5370, 248, 9748, 276, 254, 380, 6766, 19147, 282, 4503, 327, 9748, 16, 188, 6957, 254, 2916, 6237, 276, 254, 19407, 1086, 19147, 14, 286, 835, 5370, 254, 2004, 640, 8680, 6237, 282, 4503, 248, 4131, 15, 250, 3189, 6787, 16, 188, 6957 ]
[ 1, 452, 2602, 34657, 254, 10578, 276, 254, 2391, 286, 843, 254, 11030, 2024, 276, 633, 2504, 311, 10628, 16, 1664, 434, 1845, 1594, 743, 286, 4576, 9121, 387, 5883, 8796, 1065, 14965, 36161, 3, 188, 1212, 403, 11401, 1648, 12745, 743, 2893, 36161, 286, 4566, 282, 772, 8349, 2586, 16, 2512, 282, 353, 282, 1354, 248, 35420, 387, 254, 9138, 5146, 5883, 8796, 1065, 14965, 36161, 555, 2790, 3970, 3, 188, 4601, 2792, 5166, 2893, 36161, 7234, 374, 23, 254, 24593, 24941, 281, 5116, 7034, 15566, 7908, 7446, 17790, 494, 7925, 276, 633, 4242, 407, 18463, 5894, 2382, 276, 20928, 407, 1921, 41417, 4886, 625, 7537, 282, 2210, 286, 4245, 603, 368, 1564, 343, 436, 3292, 20172, 16, 188, 26, 23, 7753, 274, 254, 347, 25730, 24941, 281, 5116, 17790, 494, 4, 188, 19929, 34938, 274, 347, 20, 23, 254, 24593, 24941, 281, 5116, 7034, 15566, 7908, 7446, 17790, 494, 7925, 4, 0, 35437, 5777, 609, 311, 254, 3615, 2628, 414, 15773, 282, 254, 5950, 14, 11879, 14, 1240, 286, 1914, 274, 6083, 9112, 16, 1993, 2408, 2624, 18594, 2815, 282, 11980, 14, 8542, 14, 30784, 286, 23989, 16, 188, 35, 38208, 311, 248, 12524, 663, 2628, 2918, 276, 23635, 609, 286, 311, 17551, 282, 1519, 6083, 30241, 16, 1547, 403, 3615, 11264, 663, 7275, 1338, 282, 3533, 1826, 615, 5749, 403, 254, 898, 274, 248, 3405, 9490, 14, 248, 4868, 274, 3405, 286, 6083, 42485, 932, 14, 390, 13343, 19253, 16, 188, 510, 5514, 1914, 274, 19253, 12022, 286, 4229, 7599, 555, 2411, 254, 944, 1794, 4298, 274, 19253, 1914, 276, 1615, 3819, 16, 3683, 9439, 587, 321, 2600, 343, 248, 33785, 348, 248, 815, 15, 779, 1714, 382, 16, 188, 38634, 387, 254, 310, 42, 2688, 311, 8326, 328, 272, 28902, 3596, 14, 7100, 328, 254, 11817, 274, 5011, 14730, 390, 642, 7589, 274, 254, 8750, 276, 1897, 16, 1180, 624, 5300, 9112, 14, 248, 3936, 4172, 274, 1914, 4466, 774, 321, 3202, 16, 3688, 14, 1338, 343, 836, 5300, 3395, 274, 9112, 933, 321, 3994, 276, 248, 8906, 830, 248, 624, 10800, 6083, 11405, 2024, 476, 321, 5740, 16, 188, 1253, 3395, 274, 43434, 403, 1841, 343, 254, 12859, 5777, 2132, 2969, 254, 310, 42, 2688, 33, 188, 2148, 748, 3395, 274, 9112, 513, 368, 3831, 1914, 33, 188, 7639, 321, 6425, 327, 603, 368, 452, 13605, 1738, 6329, 248, 27182, 4706, 311, 2961, 432, 633, 15431, 801, 16, 6499, 5060, 6329, 4273, 669, 2353, 248, 27182, 1480, 16, 0, 2432, 4424, 512, 618, 1157, 13331, 11294, 16, 188, 27432, 1919, 432, 436, 580, 16, 731, 4313, 9552, 16, 188, 2433, 327, 248, 4064, 293, 310, 915, 33, 188, 2686, 434, 248, 3837, 4344, 2731, 19888, 41647, 7806, 12882, 14711, 1661, 15404, 188, 2686, 2687, 670, 368, 3542, 248, 5158, 14, 368, 4574, 1074, 353, 14, 286, 7415, 282, 889, 353, 348, 272, 10374, 16, 188, 35, 321, 10921, 343, 248, 16369, 14, 470, 17, 19, 18, 3095, 248, 8522, 16369, 16, 188, 30529, 67, 12161, 282, 67, 15, 5220, 366, 28670, 16, 47657, 16, 188, 686, 1556, 1494, 532, 1311, 16832, 276, 695, 1193, 1026, 12217, 9970, 6134, 1689, 282, 248, 13962, 12863, 44193, 16, 16665, 18346, 16, 188, 43, 715, 8869, 2430, 327, 324, 19374, 1618, 1012, 16, 188, 24540, 283, 388, 9560, 28908, 311, 38867, 16, 188, 21600, 663, 452, 2102, 9024, 1045, 403, 11133, 282, 513, 593, 2623, 2008, 1037, 12077, 6707, 615, 47544, 16, 8718, 327, 933, 321, 628, 274, 254, 4653, 390, 1594, 14, 310, 42316, 2295, 16, 188, 10667, 315, 14, 248, 2187, 274, 9073, 1045, 6231, 625, 2602, 628, 274, 254, 2099, 14, 532, 942, 35350, 328, 2391, 9837, 14, 533, 311, 2169, 274, 248, 45382, 951, 603, 368, 1441, 743, 282, 254, 2099, 286, 1623, 961, 248, 3677, 778, 91, 40125, 282, 633, 2377, 16, 188, 4357, 1012, 310, 4251, 618, 47544, 14, 2234, 16, 618, 28463, 20845, 573, 248, 21271, 16, 188, 43, 6296, 625, 8123, 3655, 35350, 328, 1034, 2391, 7758, 276, 436, 6121, 16, 0, 32350, 10832, 428, 45695, 314, 29868, 581, 4851, 16, 188, 11198, 2733, 248, 5537, 3026, 432, 533, 282, 785, 432, 836, 24219, 8925, 47160, 286, 5926, 3780, 2245, 403, 4301, 1525, 248, 32873, 301, 763, 15, 21479, 2488, 343, 3364, 2218, 282, 21130, 374, 22, 20, 286, 39286, 719, 26, 18, 13376, 407, 248, 10827, 1922, 2072, 3015, 16, 380, 9670, 4472, 4708, 403, 669, 34540, 11322, 286, 3831, 1062, 10596, 3134, 276, 4116, 4619, 254, 32412, 286, 695, 8476, 4661, 16, 0, 6545, 368, 3542, 580, 390, 624, 274, 633, 9705, 286, 2377, 8555, 274, 12396, 276, 14938, 4566, 747, 8886, 390, 8069, 33, 1286, 4606, 14, 835, 1038, 457, 86, 1354, 12078, 668, 436, 974, 626, 403, 248, 1733, 1162, 274, 15693, 24706, 2066, 276, 254, 2703, 533, 5961, 16234, 15693, 1515, 264, 796, 9439, 324, 15715, 633, 1840, 16, 1664, 403, 9567, 274, 9282, 533, 476, 321, 248, 1887, 1865, 324, 10036, 633, 9705, 819, 348, 7149, 14, 37203, 286, 1125, 624, 16, 27626, 274, 9705, 1042, 417, 756, 2730, 633, 5157, 4566, 532, 669, 11323, 633, 3184, 274, 1464, 16, 4644, 282, 254, 2479, 14, 668, 848, 18, 7, 942, 452, 3542, 387, 1824, 580, 274, 615, 3506, 9705, 16, 1286, 368, 403, 2731, 324, 248, 9665, 348, 963, 348, 1034, 15, 30270, 5247, 4360, 324, 248, 5651, 14783, 14, 835, 46007, 3070, 25855, 276, 13900, 311, 254, 1640, 4188, 324, 368, 16, 188, 38, 3823, 26149, 403, 248, 4311, 1213, 276, 533, 254, 5651, 14783, 311, 34921, 407, 272, 12983, 14783, 16, 1993, 26149, 403, 248, 32930, 327, 311, 10258, 25529, 1525, 254, 20435, 5792, 286, 1862, 368, 248, 1247, 1872, 747, 3506, 9705, 16, 826, 311, 272, 8418, 1914, 327, 1042, 417, 756, 1519, 633, 15693, 1840, 532, 669, 1862, 368, 248, 5230, 8356, 348, 963, 348, 6450, 9705, 16, 188, 510, 2251, 390, 1034, 21037, 3629, 274, 15693, 26149, 403, 7766, 2154, 254, 3621, 274, 38522, 14, 3184, 274, 29692, 932, 348, 963, 348, 14204, 282, 825, 1449, 2960, 343, 254, 8476, 20435, 5792, 16, 30638, 971, 327, 665, 40400, 533, 311, 4694, 687, 254, 12774 ]
[ 1, 274, 254, 3284, 369, 282, 6975, 11570, 274, 254, 6177, 274, 4782, 888, 16, 188, 1853, 254, 743, 2079, 802, 7659, 286, 3371, 1450, 888, 282, 2079, 14, 23490, 447, 324, 19419, 314, 50, 22, 50, 11, 311, 24425, 272, 11967, 14, 9580, 15, 34138, 2497, 4569, 2024, 16, 0, 40, 2509, 343, 649, 37031, 10538, 2877, 2181, 286, 867, 1525, 254, 23702, 274, 254, 1270, 21554, 8458, 14, 436, 6442, 14164, 369, 2696, 593, 12003, 327, 254, 2774, 1350, 274, 1427, 8681, 286, 642, 4661, 274, 254, 529, 16, 53, 16, 19774, 353, 16, 5556, 38119, 248, 47557, 6442, 17478, 33757, 1707, 328, 1201, 7828, 530, 14, 254, 2835, 6544, 862, 248, 29089, 10538, 2073, 869, 763, 15691, 42337, 687, 1423, 274, 248, 1887, 2758, 434, 9421, 39407, 2635, 5294, 16, 380, 10888, 9263, 670, 254, 2758, 434, 944, 6250, 10538, 2877, 9188, 282, 37308, 254, 5861, 274, 248, 743, 286, 3989, 5384, 3833, 274, 7294, 283, 1243, 398, 16, 188, 510, 801, 24204, 274, 443, 494, 286, 3844, 674, 311, 254, 6599, 274, 436, 593, 15, 600, 2986, 16, 188, 52, 2116, 4043, 14894, 443, 494, 17339, 254, 354, 14233, 11485, 38155, 593, 1181, 276, 436, 10538, 2877, 14009, 14, 596, 3419, 775, 248, 1034, 15, 3818, 3203, 16, 188, 28705, 4735, 6442, 14164, 555, 248, 29466, 432, 254, 26861, 5311, 286, 348, 7119, 432, 354, 14233, 248, 1247, 5094, 16, 12731, 3844, 674, 14, 276, 616, 801, 802, 274, 332, 472, 298, 14, 311, 417, 3136, 387, 11668, 276, 2824, 274, 254, 6394, 2486, 532, 385, 14333, 4043, 3184, 16, 14894, 443, 494, 2228, 14, 669, 276, 520, 801, 1887, 802, 14, 311, 8869, 387, 1683, 286, 4107, 248, 20210, 3721, 17331, 2949, 16, 188, 35, 5435, 4424, 432, 248, 370, 21, 23, 248, 2065, 2545, 282, 1129, 6441, 324, 254, 8882, 282, 14553, 282, 2393, 4059, 974, 274, 309, 249, 7540, 10781, 16, 39500, 747, 1594, 4800, 561, 274, 248, 16986, 1926, 1038, 625, 353, 33, 0, 32081, 13957, 14, 11437, 3122, 3, 10944, 368, 324, 1129, 593, 1181, 790, 512, 633, 1464, 16, 188, 8177, 368, 324, 4419, 254, 942, 310, 10217, 3224, 494, 314, 262, 327, 248, 3056, 14276, 747, 39392, 588, 16, 1180, 17727, 942, 310, 457, 307, 1845, 10217, 14, 819, 348, 633, 5769, 16, 1223, 618, 7385, 16, 1180, 4419, 254, 6649, 310, 11298, 17816, 274, 633, 671, 286, 1240, 16, 188, 8177, 368, 324, 1129, 2996, 310, 457, 307, 1845, 15599, 2124, 618, 3732, 16, 188, 1368, 457, 251, 248, 10725, 282, 321, 1444, 286, 248, 8970, 276, 671, 274, 7395, 16, 188, 510, 6032, 11418, 368, 286, 1920, 368, 954, 954, 954, 954, 0, 43, 457, 79, 963, 6425, 353, 457, 85, 7998, 16, 17920, 23886, 7738, 311, 5271, 3737, 254, 801, 7738, 274, 1033, 1722, 14, 532, 436, 1722, 633, 714, 2850, 15596, 497, 8326, 328, 254, 1250, 7738, 974, 618, 7907, 14, 9407, 14, 4285, 282, 563, 328, 17608, 1091, 5995, 254, 11615, 14, 11261, 354, 691, 13400, 3616, 16, 310, 15475, 254, 977, 282, 391, 386, 624, 390, 1637, 348, 254, 7478, 563, 721, 15, 252, 14, 963, 2778, 2118, 328, 16, 188, 1516, 7750, 6819, 254, 3265, 310, 2377, 670, 2732, 282, 563, 24791, 12352, 343, 763, 17920, 54, 1471, 276, 12076, 16, 2141, 3435, 597, 343, 17004, 4565, 5532, 324, 17920, 32974, 1063, 345, 4424, 742, 282, 254, 4513, 16, 188, 1982, 2378, 626, 369, 248, 783, 3932, 327, 807, 5416, 479, 328, 248, 2497, 1091, 436, 369, 353, 16, 380, 16637, 282, 5053, 432, 497, 372, 730, 494, 3, 10904, 5981, 14, 6936, 14, 26578, 85, 286, 16727, 1091, 512, 274, 47986, 3773, 3184, 14, 769, 6375, 666, 2653, 1091, 286, 254, 20288, 369, 3837, 328, 1046, 343, 748, 368, 457, 70, 2014, 387, 248, 14701, 10032, 314, 34977, 370, 19, 18, 248, 1408, 481, 188, 12254, 47828, 2706, 254, 5081, 274, 16637, 14, 533, 1767, 1004, 1362, 16, 6132, 2299, 447, 403, 2066, 328, 2065, 10730, 286, 1004, 2065, 368, 476, 590, 2255, 2537, 1842, 274, 3799, 312, 15, 25342, 16637, 16, 15358, 5278, 14, 368, 835, 5053, 248, 6564, 671, 561, 274, 1241, 580, 15, 11642, 24372, 16, 330, 6082, 587, 2426, 368, 670, 596, 457, 251, 5352, 338, 18, 2819, 561, 16, 188, 4921, 924, 403, 8326, 43274, 314, 1410, 13457, 14, 624, 274, 248, 25858, 5785, 18811, 456, 4344, 581, 343, 7787, 328, 843, 282, 4112, 2969, 13810, 390, 22501, 1091, 1081, 24483, 10734, 2819, 1063, 368, 997, 747, 248, 4829, 1362, 34111, 23735, 343, 248, 16832, 8725, 328, 254, 2741, 16, 188, 4387, 2211, 14, 841, 310, 1652, 618, 12721, 597, 310, 6705, 254, 6564, 7349, 7207, 763, 8115, 432, 618, 2342, 16, 1838, 2722, 3, 188, 36975, 431, 286, 11094, 16, 310, 6774, 8725, 282, 321, 8326, 282, 618, 3780, 16, 731, 7053, 14, 310, 28093, 14, 310, 20650, 456, 16, 826, 311, 30994, 1755, 683, 3684, 2653, 16, 1223, 1002, 6742, 683, 34791, 10109, 286, 37520, 16, 188, 510, 17920, 54, 1471, 403, 8071, 276, 254, 4617, 274, 248, 3017, 652, 4265, 16, 2028, 596, 497, 9791, 5208, 266, 14, 310, 41205, 407, 5959, 5973, 16, 679, 282, 1920, 597, 343, 254, 3518, 6015, 872, 324, 1058, 5973, 286, 7021, 16, 3826, 310, 452, 254, 4360, 282, 3256, 3489, 254, 43364, 447, 310, 872, 4619, 254, 2065, 286, 835, 4212, 1316, 33, 3006, 756, 327, 14, 596, 457, 619, 12317, 276, 668, 272, 4813, 16, 188, 46, 25644, 33, 310, 4370, 282, 1141, 274, 353, 348, 39083, 16, 3699, 1922, 24791, 4513, 2427, 457, 86, 452, 763, 15, 340, 725, 7089, 85, 16, 3063, 368, 2033, 254, 21906, 47302, 327, 476, 3866, 489, 33, 188, 510, 801, 5218, 318, 435, 6564, 311, 1903, 1091, 248, 8840, 282, 751, 368, 31288, 16, 2646, 327, 14, 6564, 311, 370, 21, 16, 27, 27, 324, 7172, 687, 370, 21, 23, 16, 1678, 368, 476, 855, 597, 324, 5218, 318, 435, 16046, 14, 533, 311, 10054, 254, 590, 759, 494, 5224, 6253, 274, 10274, 11800, 1091, 370, 27, 27, 248, 802, 286, 512, 7172, 687, 370, 21, 23, 403, 2818, 16, 0, 1516 ]
[ 1, 1360, 286, 1577, 16, 826, 1056, 311, 669, 17346, 286, 476, 321, 9290, 407, 248, 1162, 274, 2533, 14, 1648, 248, 6082, 434, 3405, 1580, 14, 8364, 2435, 14, 286, 254, 2471, 390, 3112, 3038, 16, 323, 1089, 273, 390, 9916, 25381, 774, 5440, 5070, 14730, 14, 532, 353, 311, 417, 254, 756, 2715, 327, 774, 2759, 836, 5749, 16, 2514, 15, 1799, 9320, 14, 533, 403, 2124, 254, 1794, 5062, 14, 403, 669, 20655, 282, 836, 1057, 10276, 16, 4978, 5062, 327, 774, 321, 2600, 2408, 15067, 14, 1996, 28349, 390, 32232, 14, 286, 19306, 580, 434, 8942, 282, 615, 11172, 343, 615, 2836, 4438, 16, 188, 1253, 403, 633, 4466, 1285, 248, 399, 9319, 3408, 33, 188, 2943, 368, 403, 7127, 687, 324, 248, 399, 9319, 14, 353, 311, 1726, 327, 368, 3351, 11553, 286, 6425, 274, 633, 3453, 16, 1395, 452, 254, 977, 282, 15958, 1631, 29250, 363, 1688, 5062, 603, 272, 5741, 11990, 368, 282, 1323, 729, 14, 286, 603, 368, 5053, 282, 15958, 729, 14, 368, 933, 513, 593, 43820, 16, 731, 311, 669, 9308, 327, 368, 2033, 327, 1205, 1631, 29250, 363, 1688, 5062, 403, 14842, 14, 5628, 5062, 403, 16906, 16, 496, 948, 14, 11769, 18378, 748, 311, 1873, 348, 272, 10195, 7378, 1533, 14, 4355, 327, 670, 368, 15958, 282, 11608, 282, 248, 6173, 390, 2531, 1056, 14, 368, 774, 2186, 4684, 282, 11750, 21725, 16, 7367, 5148, 248, 5628, 1056, 476, 898, 276, 272, 11750, 13030, 274, 633, 6082, 434, 7771, 286, 774, 2186, 368, 282, 272, 5109, 16, 188, 3294, 254, 5245, 5403, 1248, 274, 14775, 500, 16, 839, 564, 376, 537, 14, 772, 17745, 399, 9319, 15656, 403, 6919, 328, 8838, 8325, 4603, 2033, 615, 3453, 16, 4801, 603, 368, 852, 11608, 282, 1631, 29250, 363, 1688, 5062, 1091, 286, 368, 403, 5440, 417, 3690, 603, 368, 852, 1091, 626, 311, 1311, 1845, 254, 6215, 327, 836, 5062, 476, 321, 14459, 1285, 633, 1068, 286, 5520, 16, 3699, 5715, 28386, 512, 1922, 8583, 663, 452, 643, 6459, 343, 248, 399, 9319, 282, 2960, 272, 17745, 399, 9319, 6652, 432, 772, 5715, 348, 3402, 348, 1841, 16, 9720, 254, 1460, 368, 872, 286, 254, 7212, 6598, 368, 16850, 16, 0, 11567, 772, 3783, 6915, 324, 42154, 414, 8493, 250, 994, 15138, 250, 813, 20, 19, 23, 368, 476, 2218, 39311, 15138, 250, 286, 29125, 30220, 286, 6813, 1460, 1648, 42154, 414, 8493, 250, 994, 15138, 250, 813, 20, 19, 23, 46926, 30220, 286, 42154, 414, 8493, 250, 994, 15138, 250, 813, 20, 19, 23, 29822, 282, 1336, 368, 2536, 254, 1640, 16735, 328, 42154, 414, 8493, 250, 994, 324, 633, 25707, 17608, 16, 9175, 772, 46926, 1569, 924, 286, 46926, 20288, 3135, 282, 1041, 2056, 368, 403, 2876, 254, 1640, 2874, 328, 633, 42154, 414, 8493, 250, 994, 25707, 17608, 16, 11903, 3732, 390, 1963, 30337, 328, 254, 42154, 414, 8493, 250, 994, 33, 7683, 772, 11535, 6044, 38591, 286, 915, 254, 3051, 1844, 274, 42154, 414, 8493, 250, 994, 390, 3575, 254, 42154, 414, 8493, 250, 994, 3051, 4244, 12238, 286, 915, 748, 596, 403, 597, 282, 16, 188, 11460, 368, 32274, 276, 42154, 414, 8493, 250, 994, 15138, 250, 813, 20, 19, 23, 33, 5879, 417, 818, 248, 25707, 2207, 274, 42154, 414, 8493, 250, 994, 15138, 250, 813, 20, 19, 23, 390, 818, 7753, 274, 42154, 414, 8493, 250, 994, 15138, 250, 813, 20, 19, 23, 593, 7512, 5227, 33482, 587, 865, 603, 436, 311, 248, 1157, 390, 2978, 16735, 324, 615, 25707, 17608, 16, 0, 34818, 8558, 13538, 32829, 1503, 321, 14910, 3400, 1385, 20121, 40514, 11027, 324, 13791, 14, 532, 345, 5887, 830, 254, 1491, 16406, 311, 16, 188, 16, 34, 32382, 35, 4342, 1486, 65, 12897, 338, 16, 7335, 422, 743, 805, 85, 16, 706, 7617, 327, 5006, 742, 7180, 17, 17476, 7160, 16, 374, 16, 37696, 1061, 5520, 8864, 276, 2377, 274, 4022, 8662, 16, 188, 34, 32382, 35, 4342, 1486, 65, 12897, 750, 1042, 417, 19504, 254, 10080, 16, 750, 8375, 8468, 706, 1996, 1798, 654, 353, 390, 2636, 641, 45849, 670, 345, 311, 7078, 16, 188, 34, 32382, 35, 4342, 1486, 65, 12897, 6499, 4462, 14, 532, 338, 11, 9763, 9960, 34625, 278, 1584, 273, 29, 374, 11, 9515, 23030, 286, 11036, 414, 328, 5516, 14, 12804, 3265, 16, 188, 1843, 688, 10817, 254, 658, 43816, 327, 452, 643, 512, 532, 12489, 407, 254, 6551, 905, 312, 12390, 276, 254, 5510, 457, 85, 3547, 12048, 16, 188, 27350, 274, 254, 19881, 286, 20101, 286, 401, 20673, 14, 1045, 457, 85, 254, 2306, 282, 32829, 327, 21965, 353, 597, 3837, 963, 254, 28539, 592, 274, 1575, 286, 12442, 5274, 274, 254, 6551, 25214, 457, 85, 22133, 274, 254, 1533, 324, 3452, 6206, 16, 1260, 272, 17111, 274, 254, 5132, 14, 353, 457, 85, 10187, 282, 6982, 16, 0, 1130, 457, 85, 643, 248, 3396, 14, 3396, 2065, 1045, 276, 6789, 14, 1062, 3396, 16, 3730, 276, 39184, 14, 360, 457, 307, 1652, 742, 3136, 19108, 2352, 282, 1125, 642, 15476, 286, 8020, 16, 2003, 749, 14, 254, 3171, 10912, 276, 618, 1096, 32183, 248, 4422, 274, 1842, 3502, 387, 495, 26, 3167, 37, 14, 327, 457, 85, 811, 687, 338, 18, 18, 3167, 40, 16, 188, 35, 15118, 369, 276, 254, 3547, 4182, 276, 254, 2065, 348, 963, 14, 670, 248, 3002, 248, 45322, 282, 915, 580, 14887, 1241, 2008, 1444, 616, 763, 802, 1668, 5952, 1472, 4451, 457, 85, 4290, 16, 188, 1516, 512, 2263, 1619, 276, 418, 1186, 410, 328, 254, 2019, 5976, 8624, 274, 1427, 3561, 14994, 14, 286, 368, 476, 1218, 624, 668, 353, 276, 254, 331, 14995, 20626, 16, 188, 2300, 254, 41039, 14, 254, 9307, 4112, 555, 1649, 2674, 1033, 1350, 276, 6789, 328, 27897, 11039, 9761, 16, 34594, 85, 274, 18774, 403, 46869, 4619, 254, 2504, 286, 310, 457, 79, 2056, 1125, 274, 368, 452, 2254, 3762, 274, 254, 16887, 319, 4130, 14, 3657, 276, 33896, 30852, 16, 188, 43, 587, 2241, 276, 624, 2429, 668, 27897, 41453, 276, 248, 2764, 1470, 14, 532, 748, 310, 587, 1970, 368, 668, 27897, 41453, 2966, 311, 327, 596, 403, 417 ]
[ 1, 33, 188, 1931, 14, 276, 248, 29360, 753, 15373, 14, 1472, 17624, 4827, 14555, 254, 20252, 414, 274, 520, 743, 2072, 1530, 16, 496, 295, 1510, 1657, 6567, 4076, 348, 17751, 3606, 6380, 14, 345, 34559, 328, 7738, 14, 347, 67, 17751, 27182, 311, 254, 13555, 10394, 301, 274, 11762, 449, 188, 37850, 16, 13751, 1472, 17624, 4827, 11473, 387, 16843, 282, 6522, 520, 4584, 14, 345, 1503, 452, 6139, 327, 248, 13555, 10394, 301, 311, 272, 24618, 314, 8915, 254, 4064, 554, 13440, 8071, 865, 327, 481, 330, 13555, 10394, 301, 311, 248, 27100, 327, 1582, 6395, 16, 6567, 286, 695, 44324, 2035, 282, 4304, 7955, 276, 3783, 15629, 311, 248, 1157, 1610, 274, 248, 13555, 10394, 301, 16, 330, 370, 19, 23, 6320, 580, 16, 9948, 479, 1912, 633, 17751, 3224, 1912, 328, 436, 580, 16, 1223, 310, 1856, 625, 1002, 4045, 368, 324, 618, 15359, 16, 0, 10023, 2067, 274, 4351, 286, 5294, 274, 254, 7056, 19770, 46206, 38250, 1771, 88, 749, 327, 500, 3930, 769, 53, 2700, 1647, 75, 9842, 48202, 6313, 666, 286, 5286, 4722, 35, 5867, 1540, 6527, 248, 22751, 274, 29571, 314, 8151, 43, 11, 324, 338, 23, 13205, 44, 19, 18, 18, 16, 17841, 510, 6564, 311, 282, 321, 2956, 387, 254, 4917, 274, 374, 18, 19, 27, 16, 1547, 587, 321, 13664, 687, 758, 248, 1034, 15, 3818, 16489, 11153, 16, 496, 1596, 14, 1081, 42578, 6527, 33927, 274, 30165, 2154, 14231, 272, 13205, 44, 19, 18, 18, 47139, 286, 2633, 1078, 16788, 314, 6602, 49, 11, 387, 418, 76, 2221, 76, 3126, 17806, 314, 10336, 13236, 570, 11, 6423, 188, 1590, 1130, 311, 772, 10986, 282, 7626, 343, 500, 3930, 769, 53, 2700, 1647, 75, 9842, 48202, 6313, 1590, 16, 3602, 587, 8869, 13447, 5286, 4722, 35, 5867, 1540, 11363, 2363, 5535, 16, 6236, 254, 2391, 763, 1090, 360, 497, 18374, 254, 13205, 44, 19, 18, 18, 1479, 286, 2144, 282, 254, 6280, 327, 512, 254, 7478, 286, 15500, 5164, 274, 436, 9690, 650, 4042, 1640, 324, 772, 14860, 7148, 1590, 1849, 749, 4570, 1048, 610, 320, 1020, 349, 16, 750, 669, 2790, 327, 13205, 44, 19, 18, 18, 4116, 650, 1545, 282, 3831, 624, 274, 254, 1615, 6075, 44, 286, 5867, 12739, 9690, 324, 330, 5716, 43, 2497, 16, 188, 510, 500, 3930, 769, 53, 2700, 1647, 75, 9842, 48202, 6313, 1590, 3792, 13280, 11558, 86, 44646, 4618, 28, 769, 1212, 8738, 327, 254, 13205, 44, 19, 18, 18, 841, 15, 42422, 1305, 387, 254, 5690, 282, 254, 5130, 2703, 933, 321, 10648, 36796, 286, 37954, 16, 19475, 343, 254, 5286, 4722, 35, 5867, 1540, 360, 587, 2706, 248, 5866, 9115, 286, 8478, 5833, 324, 13205, 44, 19, 18, 18, 387, 254, 418, 76, 2221, 76, 3126, 17806, 16, 2003, 2497, 4994, 587, 7688, 254, 15500, 13005, 274, 13205, 44, 19, 18, 18, 9690, 276, 2963, 1590, 16, 0, 35, 1241, 1722, 1631, 3259, 343, 31070, 1245, 314, 22970, 14, 4617, 14, 2330, 11, 286, 1914, 314, 35305, 579, 456, 286, 417, 27001, 456, 14373, 11, 348, 29981, 5497, 2533, 2607, 327, 254, 16075, 33911, 2666, 67, 6231, 7911, 555, 4774, 248, 624, 7077, 3798, 276, 254, 11183, 1213, 276, 254, 17247, 317, 1127, 3579, 16, 1260, 360, 2458, 254, 7794, 17366, 6977, 1238, 3102, 274, 2666, 67, 6231, 7911, 314, 20, 5658, 11, 4619, 254, 1240, 2114, 14, 360, 7735, 327, 254, 33911, 311, 6845, 274, 37794, 276, 254, 743, 19963, 16, 18568, 1238, 3102, 274, 1081, 2666, 67, 6231, 7911, 286, 254, 271, 2326, 307, 1760, 18307, 7857, 570, 2035, 67, 497, 1102, 282, 3570, 27001, 456, 5497, 14373, 14, 4501, 248, 2917, 2103, 11600, 276, 254, 1423, 14373, 16, 1993, 931, 14, 6865, 1754, 327, 254, 17366, 271, 2326, 1595, 14833, 3570, 47601, 5231, 680, 16, 18568, 17530, 13377, 274, 2666, 67, 6231, 7911, 497, 624, 17321, 276, 254, 4122, 15, 2313, 86, 11116, 8014, 16, 1678, 14, 20337, 13377, 274, 1760, 18307, 7857, 570, 2035, 67, 497, 7004, 5770, 276, 254, 5017, 732, 86, 11116, 1245, 14, 533, 5767, 327, 596, 452, 248, 1015, 10575, 8542, 432, 327, 2458, 324, 254, 6977, 1238, 3102, 274, 254, 16075, 33911, 16, 9673, 254, 32987, 3163, 869, 254, 6977, 1238, 3102, 274, 254, 763, 3307, 276, 254, 1240, 2586, 14, 254, 1841, 4865, 869, 836, 763, 3307, 311, 2696, 286, 5309, 16, 188, 4082, 88, 27372, 14, 500, 16, 1091, 374, 18, 18, 19, 16, 18100, 1296, 274, 254, 17247, 317, 1127, 3579, 14416, 68, 7190, 281, 7681, 16, 15558, 16, 4727, 16, 16824, 16, 401, 3101, 268, 14, 719, 28, 495, 19, 21, 15, 21, 21, 18, 16, 188, 37, 1980, 2139, 14, 354, 16, 44, 16, 1091, 374, 18, 18, 25, 16, 380, 416, 1926, 16, 29930, 16, 188, 41, 298, 10702, 87, 14, 354, 16, 54, 16, 286, 330, 16, 8709, 3883, 16, 1091, 338, 27, 25, 21, 16, 36434, 274, 254, 10575, 274, 254, 271, 2326, 307, 2666, 67, 6231, 7911, 418, 16, 328, 254, 43750, 34446, 274, 254, 5258, 11615, 16, 331, 2199, 293, 1743, 2323, 896, 607, 15, 24, 28, 374, 24, 21, 15, 20, 26, 27, 16, 188, 41, 298, 10702, 87, 14, 354, 16, 54, 16, 1091, 338, 27, 26, 19, 16, 29241, 274, 2666, 67, 6231, 7911, 7423, 276, 254, 10169, 628, 274, 254, 5258, 11615, 16, 331, 2199, 293, 1743, 2323, 896, 338, 22, 28, 338, 22, 23, 15, 19, 23, 26, 16, 188, 39763, 952, 28376, 14, 367, 16, 286, 500, 16, 35, 16, 427, 294, 491, 16, 1091, 338, 27, 26, 27, 16, 4078, 1659, 28631, 30440, 16, 35705, 286, 6519, 16, 188, 52, 9494, 13049, 10313, 16, 1091, 374, 18, 18, 25, 16, 416, 28, 248, 3335, 286, 3026, 324, 7404, 12323, 16, 416, 6625, 324, 17778, 36267, 16, 188, 56, 252, 4570, 283, 14, 378, 16, 286, 399, 16, 3635, 588, 78, 2641, 16, 1091, 374, 18, 18, 23, 16, 23481, 1918, 4901, 282, 7337, 11183, 28928, 407, 8415, 1617, 3360, 16, 23481, 1466, 14, 848, 24, 28, 495, 20, 19, 21, 15, 21, 20, 19, 26, 16, 0, 50, 1717, 15, 68, 1486, 283, 19, 20 ]
[ 1, 5952, 3108, 663, 311, 254, 1057, 2289, 348, 618, 24590, 5952, 16, 188, 3350, 254, 37443, 14032, 274, 2572, 14, 310, 6054, 343, 436, 1247, 14, 440, 1182, 518, 494, 7767, 328, 618, 13204, 286, 637, 2643, 436, 636, 457, 85, 20292, 16, 14674, 7061, 274, 25343, 254, 20292, 14, 254, 7767, 369, 4634, 16, 731, 369, 747, 310, 573, 637, 2643, 353, 561, 274, 479, 16, 1260, 310, 997, 888, 328, 618, 8106, 324, 2572, 282, 8265, 254, 7767, 37100, 14, 310, 7942, 353, 369, 436, 16170, 315, 10868, 7767, 327, 2572, 900, 282, 3377, 618, 3316, 21421, 2154, 14683, 276, 327, 2687, 16, 380, 7767, 3446, 272, 4873, 282, 618, 41834, 327, 311, 417, 348, 20635, 670, 248, 7767, 348, 436, 311, 11797, 16, 188, 43, 715, 248, 2298, 7793, 1012, 683, 310, 369, 282, 4541, 2572, 457, 85, 6206, 276, 254, 290, 1539, 327, 2701, 2740, 457, 85, 1575, 3834, 265, 276, 14444, 16, 1691, 555, 2572, 9988, 479, 939, 436, 944, 2746, 20292, 33, 4675, 18720, 254, 7767, 14, 11443, 12830, 14, 9892, 843, 1247, 353, 311, 324, 3614, 4924, 14, 254, 1575, 274, 2740, 276, 353, 7573, 2701, 441, 2196, 314, 20, 2995, 16, 338, 20, 28, 27, 15, 19, 18, 481, 188, 13248, 11418, 16, 839, 587, 3906, 282, 8265, 436, 1963, 14, 368, 286, 633, 5935, 1963, 597, 276, 15411, 16, 188, 1516, 10047, 11995, 282, 618, 2836, 14, 532, 387, 254, 1057, 671, 30715, 4528, 310, 4856, 248, 15411, 254, 1963, 3, 188, 50, 1376, 273, 324, 436, 1963, 14, 5552, 368, 324, 1129, 28954, 844, 282, 633, 1052, 3, 188, 1853, 1845, 14, 14073, 14, 310, 715, 28928, 343, 2572, 457, 85, 6607, 324, 633, 1464, 286, 436, 311, 1495, 1610, 274, 2936, 3834, 587, 276, 772, 4701, 16, 2556, 609, 328, 21082, 20501, 16, 18234, 2314, 286, 1125, 24056, 324, 368, 286, 633, 5935, 16, 188, 1212, 497, 436, 1963, 276, 338, 27, 27, 24, 14, 670, 310, 369, 248, 27170, 276, 618, 2318, 20335, 2801, 343, 248, 576, 15, 2823, 15, 741, 3122, 286, 248, 374, 15, 2823, 15, 741, 4855, 14, 286, 618, 2710, 13104, 324, 254, 2977, 596, 403, 17961, 1012, 286, 587, 3906, 282, 2705, 16, 310, 457, 79, 30003, 324, 729, 327, 596, 452, 248, 17727, 29566, 286, 5935, 1963, 1230, 3414, 587, 1041, 512, 254, 2967, 16, 310, 11586, 368, 14, 20219, 264, 12839, 648, 14, 286, 633, 5935, 417, 282, 7537, 729, 16, 5243, 19851, 282, 729, 555, 756, 12848, 343, 254, 20292, 16, 188, 8177, 368, 324, 9375, 633, 9604, 8442, 16, 2470, 254, 6032, 3906, 282, 1862, 368, 14032, 16, 188, 7701, 2524, 3502, 310, 637, 2643, 254, 20292, 324, 248, 8998, 636, 276, 772, 34648, 663, 4811, 387, 520, 1193, 3448, 561, 274, 254, 4647, 16, 750, 1628, 3108, 248, 2784, 4335, 286, 1330, 1401, 16, 750, 369, 618, 3224, 16, 750, 369, 4603, 3103, 276, 254, 1464, 274, 254, 5935, 286, 520, 7922, 555, 643, 15645, 2746, 324, 1125, 16, 839, 403, 1311, 276, 254, 1213, 274, 26971, 16, 188, 43, 4603, 2033, 633, 7767, 16, 826, 369, 624, 683, 2746, 286, 2906, 1623, 1038, 457, 86, 513, 8205, 282, 254, 7767, 274, 11874, 633, 1193, 20367, 286, 254, 20367, 274, 2489, 16, 496, 618, 2094, 15, 2523, 2705, 14, 310, 1141, 254, 8756, 286, 12096, 282, 301, 274, 1093, 1842, 286, 836, 1364, 1603, 2524, 587, 3191, 343, 479, 324, 248, 1034, 671, 16, 1268, 387, 254, 1057, 671, 626, 311, 10725, 276, 1129, 2041, 282, 2849, 343, 3732, 939, 254, 17328, 274, 254, 11864, 274, 2393, 286, 282, 915, 7467, 1225, 276, 1033, 2687, 16, 731, 311, 580, 274, 254, 440, 420, 280, 494, 649, 1895, 327, 2572, 4107, 441, 276, 772, 27134, 2177, 16, 188, 43, 457, 307, 573, 248, 2013, 2705, 16, 374, 1090, 3502, 360, 13820, 248, 21082, 6480, 387, 772, 5935, 14, 2584, 407, 2832, 276, 520, 2318, 607, 18, 85, 286, 5938, 248, 4335, 314, 9736, 369, 31954, 273, 248, 5769, 324, 248, 1250, 671, 11, 286, 374, 28348, 18808, 16, 188, 13248, 369, 1062, 1157, 282, 441, 939, 254, 2560, 2705, 14, 22711, 2156, 276, 254, 1026, 368, 2448, 16, 188, 3912, 2115, 360, 403, 13388, 274, 1091, 254, 10227, 6244, 1464, 311, 2743, 15, 13450, 286, 360, 403, 3004, 417, 24116, 2151, 282, 1141, 327, 1093, 1789, 327, 403, 1640, 324, 441, 403, 7723, 254, 23947, 16, 2003, 650, 321, 282, 1041, 248, 12675, 1723, 274, 254, 10271, 3038, 16, 188, 25, 367, 721, 17, 23099, 11935, 324, 347, 1253, 1143, 618, 944, 3225, 20292, 254, 944, 2746, 310, 452, 2378, 637, 2643, 859, 0, 47, 5232, 3006, 553, 325, 428, 22996, 2556, 1027, 15289, 15397, 1599, 469, 4918, 328, 309, 15, 38008, 1027, 27311, 1572, 9398, 16737, 69, 16, 188, 5897, 22996, 2556, 3006, 553, 325, 3144, 343, 495, 23, 14129, 590, 5362, 286, 311, 1174, 90, 16, 495, 4, 1246, 495, 3333, 1547, 1441, 1247, 324, 2328, 3056, 8143, 14, 12594, 15, 15161, 14, 286, 2099, 4105, 14, 348, 963, 348, 18039, 3199, 273, 16, 38826, 7446, 3, 0, 510, 5527, 324, 1125, 942, 2966, 311, 4419, 254, 977, 4682, 30033, 16, 380, 22906, 1162, 274, 4682, 12101, 5710, 3622, 561, 348, 769, 9491, 13650, 45375, 1756, 2701, 353, 248, 45327, 4686, 387, 1640, 16, 731, 311, 6742, 603, 368, 865, 748, 282, 997, 324, 14, 532, 327, 4279, 272, 7719, 3177, 274, 748, 4414, 368, 961, 432, 272, 26834, 2860, 16, 188, 2943, 12352, 324, 248, 743, 1096, 14, 1125, 942, 865, 14, 1051, 282, 254, 6400, 590, 44871, 14, 748, 596, 403, 2731, 324, 276, 3277, 14, 5098, 7269, 14, 15388, 5192, 14, 286, 3821, 3340, 16, 1268, 254, 2379, 26228, 276, 248, 1096, 7274, 311, 254, 8756, 4458, 254, 22183, 555, 343, 254, 1096, 286, 843, 353, 13432, 254, 22183, 457, 85, 1839, 14, 17701, 14, 43716, 286, 2025, 28302, 328, 1464, 16, 330, 22183, 5887, 345, 555, 1143, 254, 977, 4188, 276, 8235, 14, 417, 387, 254, 2687, 274, 7274, 14, 532, 5157, 348, 596, 14122, 713, 254, 6082, 457, 85, 7126, 286, 1577, 254, 37293, 2165 ]
[ 1, 25211, 4566, 27449, 836, 4221, 286, 3899, 6750, 16, 188, 1128, 17865, 274, 15127, 338, 2517, 14, 1648, 743, 29246, 14, 27179, 286, 2165, 6750, 16, 188, 13690, 338, 14, 14770, 3135, 374, 25, 14, 21244, 576, 28, 32611, 286, 1587, 16, 0, 54, 11411, 282, 2536, 248, 3189, 324, 618, 743, 48200, 5232, 1708, 328, 618, 4013, 1160, 351, 418, 20770, 16, 7927, 2514, 15041, 311, 1438, 276, 1689, 2065, 314, 4465, 2034, 883, 872, 248, 743, 48200, 5232, 481, 380, 9478, 311, 3524, 4647, 343, 248, 1665, 22415, 286, 27202, 22415, 752, 591, 14, 286, 254, 15041, 587, 321, 30231, 16, 41762, 668, 2718, 324, 254, 48200, 5232, 16, 8707, 48200, 5232, 311, 22415, 16, 1691, 341, 9, 455, 1141, 33, 188, 31592, 282, 915, 248, 14009, 274, 254, 9478, 16, 188, 43, 747, 254, 495, 3189, 48200, 21475, 248, 41645, 16, 188, 33782, 747, 254, 31254, 452, 353, 16, 45978, 282, 1470, 272, 2382, 286, 353, 15875, 625, 2367, 16, 330, 3123, 1037, 2798, 2622, 16, 188, 3513, 328, 5396, 706, 997, 597, 2349, 747, 347, 68, 304, 5232, 2150, 4, 390, 347, 13613, 48200, 5232, 3333, 22303, 254, 7758, 274, 254, 4254, 368, 747, 16, 2552, 2241, 282, 665, 9478, 7109, 390, 23071, 276, 633, 2104, 706, 1602, 324, 597, 10877, 32270, 8745, 12298, 276, 633, 2104, 16, 2552, 1354, 1093, 7758, 282, 580, 274, 1093, 16527, 706, 1602, 324, 272, 6465, 16, 14087, 321, 248, 9394, 3364, 2545, 7103, 633, 6231, 625, 2367, 1444, 248, 15041, 14, 391, 7112, 14, 17486, 14, 3838, 16, 310, 1141, 2718, 343, 321, 8991, 34932, 650, 997, 2978, 515, 16, 188, 18296, 321, 248, 9394, 3364, 2545, 7103, 633, 6231, 625, 2367, 1444, 248, 15041, 14, 391, 7112, 14, 17486, 14, 3838, 16, 310, 1141, 2718, 343, 321, 8991, 34932, 650, 997, 2978, 515, 16, 0, 2943, 353, 3144, 282, 25080, 254, 2042, 4395, 31016, 20512, 254, 5215, 16, 188, 1516, 311, 417, 254, 1068, 343, 2666, 38194, 33199, 1558, 53, 2101, 14, 533, 311, 272, 512, 15, 250, 15, 530, 8276, 15799, 512, 254, 2518, 14, 1096, 1720, 14, 2745, 460, 286, 13256, 6590, 368, 872, 282, 1041, 5534, 15545, 16, 188, 1253, 311, 33199, 1558, 53, 1143, 432, 33, 188, 2976, 15, 250, 15, 530, 25546, 819, 348, 33199, 1558, 53, 403, 1157, 324, 1093, 663, 513, 417, 961, 282, 563, 939, 254, 2977, 274, 3089, 2624, 1999, 3462, 14, 7422, 13492, 368, 671, 286, 2501, 16, 188, 1516, 1748, 8276, 4288, 16961, 3901, 17449, 259, 1781, 314, 20, 18, 73, 590, 8298, 9169, 581, 533, 452, 643, 2790, 974, 596, 3603, 2269, 687, 272, 6334, 2114, 274, 671, 16, 188, 1130, 669, 4288, 1081, 20222, 286, 20720, 4185, 314, 21, 18, 73, 590, 9169, 581, 533, 587, 1336, 343, 26656, 8478, 286, 3017, 16, 188, 20530, 460, 311, 669, 1225, 314, 23, 73, 590, 9169, 581, 533, 4343, 324, 8429, 6441, 286, 4609, 15545, 16, 188, 10687, 14, 33199, 1558, 53, 4288, 388, 8937, 314, 19, 16, 23, 73, 581, 533, 555, 643, 2790, 282, 254, 7021, 593, 348, 282, 6384, 6441, 2209, 286, 282, 3570, 1841, 5633, 40871, 16, 188, 42, 322, 21218, 1558, 53, 311, 2066, 276, 338, 23, 1015, 7831, 2045, 1648, 35378, 14, 13962, 14, 17336, 12488, 286, 440, 1235, 579, 9443, 16, 188, 2432, 311, 9567, 274, 4188, 324, 3997, 14, 1002, 254, 38327, 10282, 933, 321, 2041, 282, 1074, 248, 32891, 327, 596, 747, 16, 188, 2275, 1181, 1042, 33199, 1558, 53, 2042, 33, 188, 1253, 5085, 436, 8276, 7224, 432, 512, 254, 1515, 311, 695, 4236, 14, 533, 670, 2352, 282, 642, 1708, 9889, 17236, 311, 33932, 16, 188, 12510, 7695, 23659, 2083, 457, 85, 1640, 22953, 8276, 24239, 530, 324, 1610, 14, 254, 374, 16, 25, 5673, 2629, 4665, 7943, 25, 25, 1205, 33199, 1558, 53, 4665, 248, 1181, 624, 17740, 7943, 21, 22, 16, 27, 27, 324, 374, 16, 23, 5673, 16, 188, 9334, 254, 607, 5673, 7156, 4665, 1637, 387, 811, 7943, 24, 20, 16, 27, 27, 16, 188, 42, 322, 21218, 1558, 53, 311, 2156, 2066, 328, 7096, 387, 2666, 38194, 16, 679, 593, 1920, 272, 4977, 561, 282, 2536, 597, 272, 1002, 8522, 26914, 16, 188, 42, 322, 21218, 1558, 53, 311, 3989, 8298, 603, 368, 961, 282, 915, 5534, 15545, 387, 248, 26914, 4236, 16, 188, 1516, 512, 15, 250, 15, 530, 8276, 311, 687, 2630, 254, 4236, 274, 254, 4489, 24239, 530, 8276, 14, 532, 5961, 2674, 254, 1057, 5215, 16, 188, 6972, 282, 4349, 33199, 1558, 53, 33, 188, 1130, 933, 1663, 348, 641, 9080, 327, 254, 1640, 1619, 282, 4349, 2666, 38194, 33199, 1558, 53, 311, 432, 254, 3449, 2666, 38194, 4282, 16, 188, 3602, 11882, 327, 615, 7702, 587, 417, 321, 20085, 14, 343, 1903, 1689, 1362, 6564, 324, 7172, 687, 7943, 19, 18, 18, 16, 0, 47096, 15418, 361, 12239, 1760, 23543, 274, 21404, 34939, 16, 9175, 561, 436, 3425, 432, 14531, 15418, 361, 12239, 1869, 1760, 23543, 274, 21404, 34939, 16, 188, 39253, 6414, 8456, 28, 14531, 15418, 361, 12239, 1091, 4447, 74, 8717, 401, 86, 16, 500, 401, 16, 46, 16, 49, 16, 0, 44866, 26669, 12616, 311, 248, 12699, 2986, 2868, 276, 695, 1250, 802, 16, 380, 2843, 311, 2875, 28, 913, 11021, 31150, 276, 44955, 529, 12684, 3126, 16, 3006, 756, 311, 353, 248, 790, 286, 1903, 2288, 4024, 324, 254, 1963, 14, 532, 353, 669, 22683, 3015, 2672, 343, 1004, 642, 286, 343, 1922, 9094, 286, 8660, 16, 380, 11021, 403, 4024, 282, 4408, 282, 942, 274, 512, 11559, 14, 286, 1063, 1004, 9028, 626, 587, 321, 1015, 4566, 14, 3327, 14, 286, 2094, 6415, 16, 28319, 441, 282, 915, 248, 6268, 14, 2445, 633, 15393, 14, 286, 16545, 5603, 276, 529, 12684, 3126, 3, 0, 22698, 1146, 1334, 1125, 20199, 1042, 29869, 92, 858, 28188, 8550, 432, 388, 12328, 282, 3325, 41, 33, 188, 31671, 1146, 29869, 92, 858, 28188, 19250, 338, 19, 21, 20199, 1033, 1722, 869, 388, 12328, 286, 3325, 41, 16, 188, 14068, 38555, 311, 9714, 282, 3831, 688, 274, 254, 8612, 4060, 373, 328, 29869, 92, 858, 28188, 20199, 432, 37510 ]
[ 1, 10047, 695, 12367, 91, 5194, 1232, 16, 380, 39568, 403, 1157, 5252, 14, 3396, 390, 387, 2244, 3171, 16, 188, 1368, 476, 14906, 276, 688, 617, 1120, 265, 10859, 14, 282, 19194, 14, 23933, 8461, 8128, 390, 29916, 603, 368, 1817, 747, 16, 21941, 315, 804, 17892, 265, 13457, 27325, 818, 248, 6450, 4611, 14, 7158, 1642, 16, 330, 30741, 7047, 328, 1708, 311, 248, 1157, 2843, 1480, 16, 188, 57, 294, 15, 26922, 5464, 427, 831, 862, 314, 669, 900, 324, 2328, 448, 320, 479, 250, 11, 403, 248, 1157, 4188, 324, 436, 13242, 1480, 16, 310, 1074, 729, 276, 618, 3835, 2703, 16, 323, 26155, 39568, 650, 785, 1480, 16, 14933, 417, 282, 687, 28475, 254, 39568, 16, 1547, 933, 3351, 5612, 1144, 21695, 286, 417, 1892, 1936, 16, 188, 41120, 2271, 479, 250, 39568, 476, 321, 1102, 387, 944, 11334, 24791, 9844, 16, 188, 20, 18309, 274, 18622, 12028, 16, 310, 889, 439, 891, 87, 16, 188, 1934, 505, 254, 16063, 482, 12567, 276, 248, 1330, 5909, 38098, 3096, 14, 328, 4502, 4112, 14, 1863, 13688, 286, 5752, 4840, 14, 1129, 9915, 417, 282, 5291, 729, 16, 9027, 254, 12567, 713, 248, 1733, 11320, 841, 282, 14268, 16, 18568, 546, 512, 274, 254, 28973, 713, 254, 11320, 343, 254, 16063, 482, 12567, 16, 1939, 366, 254, 26220, 713, 254, 11320, 286, 818, 254, 47460, 43995, 620, 14, 18622, 12028, 14, 47419, 16063, 482, 4032, 14, 8993, 4032, 286, 248, 31952, 390, 763, 274, 6856, 16, 188, 32244, 254, 652, 357, 42523, 2474, 282, 254, 5362, 7787, 16, 2028, 353, 434, 2674, 2152, 12061, 14, 14906, 276, 254, 8534, 27325, 286, 12309, 16, 9027, 254, 652, 357, 42523, 286, 8534, 27325, 713, 254, 1733, 11320, 343, 512, 254, 642, 12347, 286, 14906, 282, 13033, 16, 309, 4593, 16, 28650, 254, 6856, 286, 818, 624, 16063, 482, 4032, 603, 2961, 16, 33863, 343, 665, 274, 254, 1788, 13610, 16, 188, 3885, 3, 826, 4313, 593, 6814, 5198, 1419, 759, 3, 310, 2314, 254, 8840, 274, 16063, 482, 286, 476, 625, 3236, 282, 1574, 836, 39568, 3, 188, 12412, 34596, 14, 9127, 593, 1181, 3, 310, 3409, 368, 1574, 353, 16, 26632, 11658, 273, 3, 0, 9936, 318, 31095, 11750, 3577, 5080, 24119, 10381, 16, 14920, 318, 387, 85, 24119, 10381, 3762, 16, 14920, 318, 24119, 10381, 25040, 373, 579, 3874, 16, 14920, 318, 387, 85, 24119, 10381, 6013, 3300, 16, 19286, 11282, 3577, 5080, 247, 26872, 4259, 2700, 16, 16769, 3577, 5080, 24119, 10381, 286, 16, 14920, 318, 13771, 24119, 10381, 5337, 266, 1194, 12239, 375, 285, 16, 14920, 318, 387, 85, 24119, 10381, 3300, 8322, 16, 19612, 5774, 286, 14828, 1275, 1575, 3462, 260, 1559, 16, 14920, 318, 11750, 3577, 5080, 24119, 10381, 33534, 16, 14920, 318, 387, 85, 24119, 10381, 6013, 3300, 16, 14920, 318, 11750, 3577, 5080, 24119, 10381, 33534, 16, 14920, 318, 11750, 3577, 5080, 24119, 10381, 33534, 16, 19612, 5774, 286, 14828, 1275, 1575, 3462, 260, 1559, 16, 14920, 318, 11750, 3577, 5080, 24119, 10381, 1640, 274, 16, 411, 4123, 10381, 324, 996, 318, 3577, 5080, 254, 16, 14920, 318, 11750, 3577, 5080, 24119, 10381, 1640, 274, 16, 14920, 318, 11750, 3577, 5080, 24119, 10381, 2257, 16, 444, 1799, 386, 3577, 5080, 24119, 10381, 16, 14920, 318, 387, 85, 24119, 31291, 1964, 5080, 5212, 16, 0, 18702, 18803, 13227, 1640, 1096, 18147, 17328, 6248, 282, 31108, 249, 2168, 315, 282, 10488, 74, 276, 254, 16, 3730, 403, 688, 12928, 14696, 286, 21205, 8735, 276, 1046, 262, 14, 360, 10011, 687, 286, 687, 959, 348, 1034, 348, 368, 2374, 561, 436, 5435, 368, 1862, 248, 7803, 15882, 311, 7729, 888, 282, 248, 22223, 1269, 14, 1602, 772, 9804, 16, 4978, 2008, 14, 4190, 15340, 2871, 624, 276, 1360, 343, 254, 1026, 327, 685, 853, 663, 311, 821, 5486, 2233, 4548, 13227, 276, 13227, 1464, 374, 18, 19, 27, 883, 3156, 687, 282, 915, 729, 16, 1286, 701, 311, 17252, 14, 2185, 3407, 597, 14, 276, 2349, 274, 13227, 14, 16642, 286, 7618, 276, 254, 30366, 286, 1640, 254, 11287, 16, 2141, 14, 353, 4049, 85, 1837, 282, 1074, 248, 8927, 274, 533, 5580, 10876, 1640, 17328, 1096, 18147, 621, 6231, 4049, 86, 2486, 6425, 16, 188, 1130, 311, 248, 13227, 2288, 28048, 407, 5779, 324, 16, 4925, 14, 532, 2570, 747, 282, 17328, 247, 1824, 865, 248, 5435, 1063, 345, 8950, 479, 597, 14, 417, 12064, 254, 6237, 328, 633, 21024, 6394, 16, 23366, 258, 22147, 435, 286, 356, 28536, 1096, 73, 586, 16, 1286, 633, 21591, 1845, 11055, 520, 3056, 14, 286, 1640, 621, 1096, 18147, 948, 327, 345, 369, 5940, 276, 479, 4315, 1480, 1157, 16, 610, 1473, 955, 324, 13227, 944, 7692, 10156, 16, 34081, 492, 851, 17067, 21133, 15, 1188, 851, 294, 357, 2185, 324, 3783, 13227, 16, 24661, 10308, 484, 17328, 41302, 1509, 570, 16, 188, 6264, 1096, 18147, 248, 1408, 10831, 311, 1852, 366, 2151, 276, 1633, 282, 254, 385, 16, 2666, 1390, 13227, 1640, 6213, 7252, 16, 1427, 341, 1049, 2758, 14, 835, 353, 4049, 85, 417, 42297, 282, 1394, 729, 328, 16, 7644, 669, 16154, 324, 295, 5148, 621, 3483, 432, 4785, 19043, 6574, 16, 188, 2750, 2139, 1640, 13227, 1096, 18147, 1726, 14, 7315, 5085, 14, 2225, 1512, 951, 16, 10264, 4458, 4950, 687, 248, 2114, 274, 13227, 1096, 18147, 17328, 1640, 580, 2065, 14, 369, 2565, 3783, 13227, 4024, 282, 4646, 254, 46715, 274, 4419, 248, 7626, 276, 254, 801, 16, 1180, 13227, 6577, 2561, 40273, 374, 18, 19, 27, 39314, 276, 6437, 15, 20008, 1688, 913, 480, 405, 281, 518, 18035, 343, 465, 18035, 374, 18, 19, 27, 9831, 1193, 7928, 16, 399, 834, 621, 17328, 368, 476, 751, 39464, 343, 248, 1956, 636, 390, 248, 4855, 276, 502, 10171, 15, 38512, 14394, 16, 188, 38993, 484, 343, 1922, 6649, 815, 5632, 286, 16, 2997, 11328, 3074, 282, 6465, 254, 3196, 4573, 274, 5952, 1830, 407, 248, 18531, 2725, 13227, 1096, 18147, 272, 311, 3645, 1380, 16, 11107, 407, 2001, 258, 4179, 687, 432, 2950, 20620, 1640, 407, 1284, 325, 36197, 753, 27225, 480, 639, 286, 1284, 325, 16, 0, 10028, 335, 67, 2956, 343, 367, 11041 ]
[ 1, 7177, 37902, 266, 324, 1656, 15, 24138, 286, 1017, 30626, 5885, 16, 3699, 13112, 403, 900, 276, 33819, 7591, 14, 33819, 2080, 8346, 14, 1830, 5022, 14, 33853, 286, 1745, 43924, 2479, 16, 657, 1893, 443, 2249, 266, 276, 3605, 9495, 16, 188, 3269, 248, 26211, 5574, 265, 276, 248, 4188, 274, 3462, 14, 500, 4481, 5961, 37489, 27388, 432, 254, 4351, 457, 85, 4144, 16140, 16, 3699, 37489, 10773, 26349, 403, 274, 248, 20211, 286, 25406, 2069, 3616, 286, 2408, 819, 16140, 348, 378, 1376, 14, 411, 2229, 14, 286, 6132, 29575, 16, 839, 669, 4319, 37489, 519, 47871, 286, 21968, 2317, 16, 657, 1893, 443, 2249, 266, 276, 11769, 16, 188, 45, 382, 2081, 15, 47, 9977, 311, 1873, 324, 9995, 7177, 37902, 266, 324, 248, 1162, 274, 16582, 1648, 10314, 34763, 14, 31961, 14, 2269, 14, 3615, 14, 2080, 10602, 286, 624, 16, 1260, 248, 4022, 6480, 274, 3360, 37902, 266, 14, 3195, 1317, 286, 806, 39964, 360, 403, 30934, 282, 2023, 772, 6211, 343, 254, 1062, 1640, 16, 7560, 1862, 441, 248, 1052, 2966, 282, 2941, 624, 1460, 3, 657, 1893, 443, 2249, 266, 276, 3561, 9495, 16, 188, 6687, 2145, 38139, 706, 13493, 311, 1873, 324, 9995, 7177, 37902, 266, 324, 248, 1162, 274, 16582, 1648, 10314, 34763, 14, 31961, 14, 2269, 14, 3615, 14, 2080, 10602, 286, 624, 16, 1260, 248, 4022, 6480, 274, 3360, 37902, 266, 14, 3195, 1317, 286, 806, 39964, 360, 403, 30934, 282, 2023, 772, 6211, 343, 254, 1062, 1640, 16, 7560, 1862, 441, 248, 1052, 2966, 282, 2941, 624, 1460, 3, 657, 1893, 443, 2249, 266, 276, 9137, 16, 188, 29481, 420, 10126, 2801, 457, 3736, 2413, 274, 9526, 3195, 1317, 286, 3377, 13112, 4589, 12409, 72, 3094, 13923, 4163, 14, 8920, 473, 3069, 85, 1656, 2042, 286, 1017, 13005, 14, 4892, 31310, 3195, 1317, 324, 1017, 2949, 390, 4311, 17893, 14, 286, 26745, 8410, 15471, 324, 248, 9377, 1026, 282, 2475, 7663, 3373, 3377, 597, 282, 6582, 274, 12168, 16, 11721, 1296, 311, 5740, 324, 1017, 4500, 473, 3069, 4742, 16, 657, 1893, 443, 2249, 266, 276, 9137, 16, 0, 49, 22891, 570, 3523, 5865, 314, 35, 537, 660, 14, 21678, 11, 274, 254, 2185, 434, 16642, 2214, 555, 643, 4099, 348, 254, 40993, 6640, 47423, 26079, 15738, 15, 46542, 2446, 274, 254, 12315, 1527, 272, 15931, 2949, 276, 254, 6191, 436, 2391, 8621, 276, 248, 1177, 15, 47441, 343, 12913, 12720, 286, 5848, 1704, 2341, 16, 188, 9139, 5865, 14, 248, 8251, 4626, 6693, 2135, 387, 40993, 6640, 14, 1810, 313, 254, 1250, 1742, 274, 254, 576, 18, 18, 1112, 2139, 25397, 282, 8165, 742, 254, 2445, 14, 348, 701, 7221, 18420, 13480, 14, 2955, 28146, 16179, 31378, 286, 6797, 11568, 21531, 2139, 282, 4565, 248, 1250, 15, 4919, 8195, 276, 254, 2288, 16, 4186, 626, 14, 3523, 5865, 14, 650, 563, 328, 282, 3223, 254, 338, 18, 18, 5818, 25134, 343, 248, 671, 274, 338, 28, 19, 18, 16, 18, 20, 286, 254, 374, 18, 18, 5818, 25134, 343, 248, 671, 274, 374, 28, 20, 25, 16, 21, 18, 14, 1205, 669, 15175, 1250, 276, 254, 338, 18, 18, 3974, 12122, 343, 248, 671, 274, 607, 23, 16, 18, 26, 7061, 16, 0, 6128, 747, 665, 642, 1479, 274, 1361, 14, 2072, 14, 390, 5833, 14, 27547, 1853, 706, 2779, 4184, 4273, 476, 889, 2591, 3310, 282, 615, 5585, 16, 188, 31689, 53, 7626, 286, 4282, 11399, 1997, 18150, 8467, 555, 996, 3955, 5740, 282, 3768, 436, 4081, 6915, 343, 772, 10390, 3, 188, 1516, 300, 11988, 587, 9537, 368, 3148, 368, 872, 282, 865, 282, 1242, 25829, 343, 39236, 276, 254, 7681, 368, 8494, 14, 348, 963, 348, 1093, 368, 961, 282, 8494, 276, 254, 2764, 3, 188, 5338, 625, 321, 27444, 456, 407, 2591, 3310, 428, 19082, 353, 16, 826, 300, 11988, 587, 913, 368, 843, 16, 188, 3513, 353, 1012, 407, 12514, 276, 254, 825, 282, 254, 977, 16, 0, 510, 10781, 2214, 573, 248, 9138, 671, 12519, 343, 512, 254, 4863, 387, 254, 3970, 7735, 47540, 3413, 19, 26, 16, 188, 4792, 311, 615, 3055, 1354, 12249, 1581, 432, 254, 12304, 16, 188, 1212, 997, 3461, 282, 12519, 343, 368, 959, 1689, 802, 3, 188, 11478, 10938, 18700, 286, 20934, 20113, 1143, 615, 3252, 3428, 436, 802, 343, 248, 4474, 2413, 274, 23943, 23288, 353, 276, 615, 3134, 16, 188, 42, 10201, 924, 403, 295, 20475, 615, 7617, 286, 7067, 2815, 282, 34592, 282, 1649, 1338, 2824, 286, 8906, 276, 1033, 4659, 16, 188, 3269, 272, 3509, 1162, 274, 19645, 13822, 14, 248, 7363, 11358, 324, 512, 1738, 8660, 311, 248, 1339, 16, 188, 28246, 5322, 476, 321, 900, 282, 24243, 3011, 3753, 931, 14, 7065, 7663, 2517, 282, 1305, 1738, 1521, 637, 412, 286, 1470, 412, 348, 963, 348, 1041, 11405, 272, 9647, 628, 274, 1464, 343, 248, 4474, 2413, 274, 8033, 494, 3963, 16, 188, 3269, 593, 1181, 6604, 14, 254, 2165, 7720, 47484, 1311, 3351, 428, 732, 15, 2145, 1402, 286, 372, 11651, 282, 4646, 46715, 276, 254, 9830, 1213, 16, 0, 1516, 311, 628, 848, 274, 338, 21, 1789, 282, 513, 1063, 254, 801, 1362, 274, 2079, 16, 188, 43, 457, 79, 248, 5715, 42935, 327, 248, 42521, 14, 1205, 417, 254, 2811, 282, 512, 3133, 14, 476, 321, 22318, 276, 25297, 272, 5751, 1362, 16, 5329, 387, 2436, 26419, 2421, 2636, 254, 1294, 274, 248, 2875, 607, 3109, 42521, 324, 29393, 272, 7808, 16, 188, 8828, 27285, 452, 643, 276, 889, 407, 1299, 10660, 324, 1090, 14, 286, 254, 1865, 3108, 729, 311, 974, 596, 785, 16, 4966, 13883, 457, 85, 26719, 18789, 34383, 669, 11098, 254, 1294, 274, 10611, 286, 25297, 8663, 16, 188, 3350, 5983, 580, 390, 624, 10611, 14, 368, 1903, 597, 633, 2482, 314, 395, 633, 5805, 457, 85, 13471, 481, 188, 1368, 476, 2654, 633, 1581, 597, 407, 671, 274, 1362, 603, 368, 961, 14, 532, 310, 3673, 1920, 7280, 348, 580, 1581, 16, 3826, 633, 5157, 1581, 756, 4288, 4806, 327, 368, 513, 5157, 16, 1180, 642, 8663, 327, 872, 282, 321, 2152, 14, 310, 452, 248, 2966, 1581, 16, 1993, 403, 4806, 327 ]
[ 1, 36020, 3288, 324, 16, 6529, 2916, 29, 8556, 406, 293, 42349, 34581, 379, 306, 4981, 16, 1884, 16, 8556, 406, 293, 42349, 34581, 379, 16, 1299, 406, 293, 14650, 3480, 77, 1711, 270, 285, 81, 16, 8556, 406, 293, 42349, 47195, 8832, 16, 188, 46749, 34581, 379, 1209, 25503, 333, 5911, 5541, 606, 932, 1180, 28046, 16, 27880, 432, 813, 20, 31782, 282, 1074, 254, 1640, 32227, 34581, 379, 1209, 25503, 333, 5911, 5541, 606, 932, 407, 9630, 706, 30217, 2734, 368, 16, 188, 36095, 374, 18, 18, 25, 444, 5747, 6075, 2921, 17922, 38967, 19, 20, 18, 14, 374, 18, 18, 26, 444, 5747, 6075, 2921, 17922, 38967, 27, 18, 387, 19713, 15586, 2219, 6302, 16, 679, 428, 10421, 338, 274, 338, 16, 188, 36, 72, 25, 18, 20, 34581, 379, 18343, 293, 1180, 28046, 16, 839, 403, 16649, 282, 3768, 772, 3638, 286, 2705, 328, 6326, 9115, 343, 4076, 16, 839, 403, 16649, 282, 7798, 343, 4076, 282, 4672, 615, 11861, 286, 865, 15, 5270, 85, 328, 6326, 9115, 16, 188, 9454, 374, 26, 14, 374, 18, 19, 26, 6084, 3730, 276, 436, 9956, 3434, 368, 476, 915, 1599, 2736, 274, 1125, 1015, 27001, 2317, 16, 496, 39649, 9956, 3434, 35832, 15540, 15311, 44317, 8226, 46162, 726, 34361, 378, 7024, 80, 272, 340, 858, 16, 188, 13056, 324, 900, 18343, 293, 36020, 3288, 16, 9720, 1822, 87, 14, 2371, 14, 1140, 17142, 32802, 14, 14831, 14, 8452, 7862, 14, 443, 7519, 14, 12607, 5302, 30046, 14, 19109, 605, 14, 38840, 5343, 14, 14458, 79, 606, 324, 7096, 328, 19713, 250, 892, 16, 188, 34733, 36020, 3288, 324, 7096, 387, 354, 42559, 4953, 16, 3730, 403, 512, 254, 10234, 16102, 343, 900, 36020, 3288, 2066, 324, 7096, 16, 34581, 379, 38967, 890, 18, 36020, 379, 21525, 3730, 311, 248, 3316, 1581, 274, 900, 36020, 3288, 324, 7096, 16, 4906, 15597, 1223, 14763, 15214, 29, 900, 271, 72, 719, 18, 390, 271, 72, 813, 18, 36020, 379, 21525, 428, 3505, 442, 23952, 16, 25814, 38967, 719, 18, 16, 19, 34581, 379, 18343, 293, 16, 31342, 10771, 1146, 6075, 22, 10244, 274, 28367, 459, 1146, 954, 188, 9554, 1116, 20435, 36020, 379, 324, 7096, 276, 5796, 1348, 16, 8832, 29, 1250, 1116, 20435, 36020, 379, 324, 7096, 276, 5796, 1348, 29, 3239, 416, 13988, 403, 9456, 416, 8351, 6789, 27962, 45, 374, 16, 719, 795, 14, 848, 15964, 4474, 338, 24, 15964, 8845, 16, 576, 274, 11800, 4568, 3881, 3410, 4764, 2674, 743, 16, 338, 274, 38967, 6901, 5800, 1822, 11989, 1893, 309, 17, 35, 338, 18, 7, 28111, 16, 338, 274, 15419, 14867, 708, 6380, 330, 17, 54, 338, 18, 7, 28111, 16, 188, 4792, 276, 436, 9956, 3434, 368, 476, 915, 1599, 2736, 274, 1125, 1015, 27001, 2317, 16, 496, 39649, 9956, 3434, 35832, 15540, 15311, 44317, 8226, 46162, 726, 34361, 378, 7024, 80, 272, 340, 858, 16, 188, 1130, 311, 248, 21525, 36020, 379, 7273, 324, 27001, 2317, 4832, 432, 338, 22, 15847, 16, 14608, 282, 4502, 1921, 36200, 7180, 403, 254, 7250, 2809, 324, 436, 4992, 28, 25085, 538, 14, 19166, 27609, 14, 27001, 568, 14, 42625, 14, 286, 3843, 785, 276, 9839, 286, 32712, 3551, 16, 188, 43, 12574, 8422, 494, 1575, 16, 323, 31484, 324, 27001, 2317, 26527, 687, 576, 21, 15847, 14, 254, 21525, 36020, 379, 38967, 338, 21, 23, 16, 26, 369, 3446, 282, 2445, 254, 2107, 3095, 274, 36200, 276, 24874, 2177, 14, 324, 28089, 27609, 5704, 276, 2575, 43064, 16, 188, 26373, 374, 20, 14, 374, 18, 19, 25, 6084, 11631, 428, 22528, 16216, 255, 16, 380, 22528, 16216, 255, 311, 248, 671, 11156, 14, 13405, 37353, 3616, 14, 2209, 27001, 1065, 900, 17652, 276, 254, 5374, 4987, 286, 14650, 22528, 38515, 16, 188, 17450, 374, 22, 14, 374, 18, 19, 24, 6084, 22619, 19, 21, 1558, 19, 20, 18, 15745, 19, 20, 4704, 39917, 38013, 19156, 30622, 13751, 3313, 19156, 30622, 10430, 7361, 900, 276, 4950, 783, 14268, 4992, 14, 3894, 5339, 14, 36020, 379, 286, 642, 13659, 282, 2196, 954, 555, 643, 276, 6044, 21479, 14, 19173, 14, 20325, 14, 13597, 14, 18612, 14, 14650, 14, 9822, 14, 3838, 954, 188, 82, 5236, 274, 900, 8577, 36020, 379, 276, 254, 1976, 379, 5886, 16, 655, 759, 89, 313, 263, 376, 5267, 367, 1743, 7326, 369, 900, 282, 1074, 28, 7702, 274, 900, 8577, 36020, 379, 276, 254, 1976, 379, 5886, 14, 3094, 3373, 36020, 379, 42349, 16, 7702, 274, 900, 8577, 36020, 379, 276, 254, 16, 0, 2976, 6053, 403, 2379, 314, 23968, 1865, 481, 1286, 368, 9448, 254, 3320, 1921, 4436, 441, 633, 8464, 286, 1316, 1162, 286, 360, 1782, 1862, 368, 633, 3338, 1921, 603, 353, 311, 276, 5574, 16, 1286, 368, 497, 23820, 254, 3320, 1921, 390, 1830, 14, 4436, 441, 387, 2304, 286, 360, 1782, 4856, 368, 254, 1076, 7787, 16, 188, 1212, 6044, 432, 4851, 939, 1924, 3193, 801, 956, 706, 11358, 8659, 16, 1180, 9575, 7172, 4356, 1545, 338, 15, 21, 2072, 1842, 324, 5009, 286, 374, 15, 23, 1842, 324, 14659, 671, 314, 2523, 774, 6706, 481, 1180, 5060, 7172, 1545, 338, 15, 21, 1842, 5009, 286, 1444, 813, 1842, 14659, 16, 1501, 10609, 3778, 403, 46391, 282, 368, 2304, 254, 5362, 555, 643, 11424, 14, 603, 633, 12200, 1162, 3470, 625, 2131, 835, 4436, 441, 286, 360, 1782, 2023, 580, 16, 1286, 633, 12200, 1162, 10916, 625, 9055, 4356, 1862, 353, 248, 1603, 1842, 282, 5566, 14, 603, 1311, 641, 4631, 4436, 441, 286, 360, 1782, 997, 713, 353, 16, 1286, 633, 2504, 2427, 625, 3073, 328, 254, 14659, 4466, 4436, 441, 286, 360, 1782, 818, 353, 16, 839, 403, 417, 5346, 324, 3542, 14, 15225, 14, 390, 13202, 11819, 2304, 596, 452, 1628, 772, 3448, 16, 188, 43, 452, 248, 2025, 1897, 14, 843, 476, 310, 2960, 368, 5898, 33, 188, 17327, 441, 387, 8464, 34, 85, 3253, 19, 27, 27, 26, 16, 679, 390, 563, 282, 254, 21685, 3135, 387, 254, 1708, 274, 254, 4282, 16, 839, 513, 417, 2374, 772, 33036, 390, 19047, 7955, 348, 2156, 348, 360, 513, 772, 4436, 16, 7560, 1545, 688, 671, 324, 633, 4436, 390, 3808 ]
[ 1, 1689, 14430, 16, 1547, 457, 251, 2156, 1773, 15, 17783, 14, 286, 1856, 457, 86, 3577, 4680, 633, 9749, 390, 3598, 5203, 16, 188, 3269, 836, 24061, 276, 2482, 14, 6008, 1863, 633, 1689, 4561, 13897, 390, 1683, 18186, 273, 6692, 587, 1606, 747, 248, 28150, 16, 188, 31645, 35271, 15, 13195, 4561, 276, 248, 10030, 33, 188, 39, 9559, 74, 7049, 633, 11157, 1230, 3957, 479, 561, 1045, 16, 731, 457, 85, 248, 2013, 10209, 282, 254, 18433, 5076, 25170, 255, 14, 532, 368, 457, 251, 3082, 9184, 254, 1830, 282, 633, 32519, 276, 1748, 3082, 274, 254, 11157, 274, 633, 4561, 16, 11352, 272, 2836, 74, 7049, 314, 43, 476, 457, 86, 3941, 436, 2151, 14, 532, 1041, 2056, 353, 457, 85, 1094, 442, 14, 5569, 368, 457, 251, 1438, 324, 254, 36486, 91, 17, 1182, 21681, 91, 11157, 997, 11, 327, 9862, 633, 4561, 10408, 14, 286, 4503, 353, 282, 633, 628, 273, 14, 2328, 2056, 282, 18754, 16, 731, 774, 1606, 747, 248, 8691, 2115, 282, 513, 14, 532, 353, 457, 85, 2155, 3458, 387, 2328, 633, 4561, 997, 35271, 16, 188, 12728, 633, 628, 273, 1230, 603, 368, 457, 251, 900, 282, 628, 273, 633, 4561, 276, 248, 2110, 1026, 1033, 1362, 14, 633, 4561, 587, 2411, 900, 282, 22435, 276, 248, 2110, 1026, 16, 1286, 368, 628, 633, 4561, 282, 254, 1628, 14, 1574, 2430, 353, 282, 254, 977, 390, 1574, 248, 8906, 628, 273, 16, 27146, 286, 915, 748, 8950, 977, 324, 368, 1091, 368, 457, 619, 321, 9600, 387, 843, 1181, 353, 476, 1767, 597, 633, 997, 14, 512, 16222, 6069, 688, 4500, 282, 633, 4561, 16, 188, 38, 609, 439, 1277, 3182, 1230, 311, 626, 2626, 327, 5909, 439, 1277, 3182, 476, 457, 86, 513, 21729, 9127, 282, 695, 11370, 15, 91, 14145, 14, 5909, 439, 1277, 3182, 476, 1336, 818, 248, 1612, 2298, 4325, 4500, 282, 633, 4561, 407, 22948, 665, 6536, 23432, 16, 1395, 1038, 457, 86, 1002, 452, 282, 3236, 1863, 633, 4561, 8950, 13365, 6890, 1091, 603, 368, 1074, 327, 633, 4561, 311, 248, 2298, 2519, 286, 440, 46276, 494, 841, 16902, 14, 248, 3055, 652, 30912, 274, 5909, 439, 1277, 3182, 587, 9806, 276, 665, 1949, 42017, 327, 368, 5565, 282, 513, 16, 188, 1853, 963, 348, 836, 11861, 14, 4248, 282, 889, 4561, 3462, 327, 3831, 2714, 21305, 15787, 2714, 37129, 15787, 390, 2714, 26713, 1232, 14960, 34942, 2626, 343, 2714, 32753, 15787, 2714, 5368, 15787, 2714, 10697, 429, 15787, 390, 2714, 17032, 4595, 457, 276, 254, 3929, 1091, 368, 457, 619, 756, 321, 6069, 6536, 4032, 282, 254, 4561, 533, 587, 13965, 353, 1051, 1949, 16, 188, 11460, 368, 2378, 3446, 254, 3834, 597, 2989, 756, 282, 452, 353, 512, 2871, 282, 9625, 348, 3402, 348, 368, 3109, 561, 274, 254, 3260, 33, 188, 2432, 457, 85, 248, 4544, 4688, 327, 436, 4104, 42017, 6692, 3103, 4561, 17713, 789, 390, 271, 18305, 23096, 348, 248, 2165, 4305, 16, 21177, 368, 4370, 282, 1052, 729, 14, 368, 457, 70, 321, 9600, 387, 254, 22906, 2332, 274, 942, 327, 403, 960, 729, 29737, 16, 188, 6235, 274, 512, 14, 368, 933, 321, 960, 729, 343, 254, 260, 16679, 1874, 1385, 633, 1450, 16, 826, 311, 843, 596, 497, 4024, 282, 321, 900, 14, 2780, 353, 390, 417, 3, 380, 9945, 1041, 324, 248, 1181, 1755, 17126, 1385, 633, 32519, 14, 348, 9799, 282, 254, 4800, 14, 5862, 4873, 14, 533, 476, 15373, 4214, 16, 188, 2148, 1002, 624, 14198, 1575, 14, 13713, 633, 271, 18305, 23096, 343, 4561, 46936, 14, 5909, 439, 1277, 3182, 14, 390, 248, 2426, 322, 2116, 13713, 1063, 368, 889, 729, 16, 21177, 1830, 368, 5053, 282, 889, 14, 1041, 2056, 282, 513, 353, 348, 2722, 282, 2602, 15175, 254, 23096, 713, 633, 4561, 348, 1841, 1091, 603, 254, 1830, 278, 2177, 4603, 14, 368, 1856, 457, 86, 1872, 254, 2057, 5485, 16, 188, 1843, 327, 457, 85, 353, 3, 4186, 13365, 6890, 24008, 282, 1382, 12249, 271, 18305, 23096, 14, 310, 3409, 310, 457, 307, 11155, 1055, 688, 274, 254, 624, 1794, 4561, 8662, 457, 85, 327, 476, 4306, 368, 10142, 16, 188, 1982, 368, 872, 665, 624, 7338, 8438, 254, 10142, 1499, 274, 4561, 42017, 314, 19831, 4800, 2886, 581, 4356, 1038, 457, 86, 31207, 282, 2960, 39821, 23746, 280, 16, 0, 21627, 16380, 2781, 118, 22324, 20310, 22383, 99, 2781, 118, 18988, 20310, 24237, 33526, 18988, 20310, 5175, 515, 10771, 5596, 10722, 28821, 3626, 14, 22104, 36145, 5998, 14, 11500, 15, 49, 14, 378, 313, 2323, 1048, 67, 14, 286, 254, 2560, 10132, 1076, 282, 254, 3481, 282, 6975, 254, 34943, 2103, 683, 2378, 1063, 16, 188, 1516, 5690, 369, 30343, 5175, 515, 10771, 5596, 314, 20, 18, 18, 24, 11, 210, 38887, 47181, 7568, 222, 25387, 38887, 20310, 39772, 210, 2781, 244, 19910, 216, 374, 543, 30071, 13341, 210, 38254, 27902, 27902, 33526, 19910, 98, 38800, 36514, 33526, 1534, 7034, 4553, 254, 7929, 268, 746, 16, 0, 43, 865, 327, 7629, 17266, 3239, 532, 353, 369, 747, 1129, 276, 1017, 2079, 3239, 10974, 422, 13472, 37262, 16, 188, 43, 1328, 626, 282, 321, 343, 254, 5588, 286, 282, 9537, 729, 3239, 310, 1328, 248, 9475, 14, 417, 248, 3408, 15, 26219, 2475, 324, 11557, 3239, 310, 1328, 248, 11913, 15868, 937, 286, 327, 311, 748, 310, 513, 3239, 310, 915, 748, 254, 5588, 1503, 747, 14, 390, 748, 596, 872, 14, 286, 835, 310, 2023, 353, 16, 188, 43, 811, 1038, 625, 11129, 942, 1129, 25441, 3239, 286, 310, 1328, 10344, 343, 353, 348, 1640, 310, 476, 3239, 532, 695, 819, 248, 10888, 4395, 16, 496, 948, 14, 436, 24437, 479, 274, 1495, 3979, 310, 369, 2304, 11068, 343, 3239, 670, 2996, 368, 785, 343, 5441, 282, 321, 347, 14066, 5363, 35820, 4, 343, 368, 3239, 286, 368, 811, 6231, 625, 5311, 353, 13692, 865, 33, 2552, 974, 368, 6231, 625, 348, 276, 282, 729, 14, 596, 835, 1242, 2876, 37337, 286, 5983, 14164, 3239, 310, 4143, 603, 695, 327, 33, 2141, 603, 4780, 695, 974, 254, 2086, 403, 1623, 15523, 593, 963, 343, 748, 310, 1328, 5123, 324, 729, 33 ]
[ 1, 19423, 38862, 647, 324, 465, 14, 362, 276, 42840, 65, 45659, 16, 15135, 14439, 926, 42840, 65, 45659, 61, 77, 63, 426, 1581, 10, 1160, 10, 88, 1210, 2621, 13021, 4862, 2137, 65, 45659, 5868, 426, 42840, 65, 45659, 1465, 1076, 16062, 558, 2768, 256, 2201, 534, 188, 1510, 47066, 65, 1578, 2484, 800, 10, 1578, 2484, 800, 2192, 477, 1800, 1673, 30204, 248, 15118, 21, 15, 4676, 407, 2484, 800, 21746, 300, 16, 73, 16, 347, 68, 9, 24684, 1499, 20652, 713, 248, 2539, 2787, 477, 1800, 839, 933, 321, 2041, 282, 5228, 436, 1308, 670, 360, 30544, 282, 15118, 21, 286, 452, 295, 4519, 265, 477, 603, 407, 2484, 800, 286, 407, 2484, 800, 16, 5318, 2076, 335, 1551, 68, 20652, 2192, 647, 407, 2484, 800, 426, 407, 2484, 800, 16, 24915, 1551, 68, 9, 3245, 80, 6606, 24915, 1067, 477, 1076, 407, 2484, 800, 188, 0, 3933, 269, 431, 90, 1369, 23191, 319, 188, 3933, 269, 431, 90, 16, 8676, 1369, 31386, 14, 28622, 188, 3933, 7481, 1369, 11555, 14, 1802, 188, 3933, 13783, 1369, 387, 267, 20, 14, 44087, 14, 7154, 14, 12236, 14, 4879, 14, 6686, 14, 7870, 188, 188, 2360, 7550, 275, 10, 5912, 2192, 1465, 804, 4623, 4338, 21257, 1262, 14, 20298, 14, 931, 14, 4172, 31, 18, 16, 26, 2192, 647, 1827, 16, 10861, 426, 20298, 647, 1827, 16, 2137, 426, 931, 647, 1827, 16, 7330, 426, 4172, 1465, 804, 6686, 10, 1262, 14, 7555, 2192, 647, 1076, 6686, 10, 1998, 475, 7555, 1209, 338, 26, 18, 11, 1465, 804, 7154, 10, 1262, 14, 7555, 2192, 647, 1076, 7154, 10, 1998, 475, 7555, 1209, 338, 26, 18, 11, 1465, 804, 46131, 10, 1262, 14, 1246, 19, 14, 341, 19, 14, 1246, 20, 14, 341, 20, 2192, 647, 1246, 426, 1246, 20, 428, 1246, 19, 647, 341, 426, 341, 20, 428, 341, 19, 2621, 603, 1246, 9855, 470, 286, 341, 9855, 470, 28, 926, 1076, 338, 647, 603, 1246, 10763, 470, 286, 341, 9855, 470, 28, 926, 1076, 374, 647, 603, 1246, 10763, 470, 286, 341, 10763, 470, 28, 926, 1076, 495, 647, 603, 1246, 9855, 470, 286, 341, 10763, 470, 28, 926, 1076, 576, 647, 6975, 19000, 1465, 804, 751, 7784, 1248, 10, 1262, 14, 1246, 14, 341, 2192, 647, 9677, 426, 314, 90, 603, 314, 90, 653, 341, 11, 1952, 341, 11, 475, 1827, 16, 7330, 647, 13025, 426, 7954, 2621, 324, 883, 276, 2413, 10, 4874, 10, 1262, 16, 2137, 47757, 926, 7555, 426, 883, 475, 314, 21, 24, 18, 1209, 8249, 10, 1262, 16, 2137, 1210, 926, 743, 65, 90, 426, 1827, 16, 7237, 10, 16422, 5981, 11, 475, 9677, 558, 1246, 926, 743, 65, 91, 426, 1827, 16, 4604, 10, 16422, 5981, 11, 475, 9677, 558, 341, 5896, 13025, 16, 9436, 8622, 743, 65, 90, 14, 314, 91, 475, 374, 11, 428, 743, 65, 91, 210, 3185, 2621, 1076, 13025, 1465, 804, 3687, 10, 1262, 14, 1246, 14, 341, 2192, 647, 1827, 16, 6379, 28992, 10, 90, 14, 341, 11, 647, 1827, 16, 6379, 3129, 10, 90, 14, 341, 11, 1465, 804, 3687, 28992, 10, 1262, 14, 1246, 14, 341, 2192, 647, 13025, 426, 1827, 16, 784, 7784, 1248, 10, 90, 14, 341, 11, 2621, 324, 883, 276, 2413, 10, 4874, 10, 1262, 16, 2137, 47757, 926, 1827, 16, 10861, 16, 1983, 5295, 1067, 926, 1827, 16, 10861, 16, 14688, 1934, 10, 34135, 10, 90, 581, 28622, 10, 91, 1210, 926, 1827, 16, 10861, 16, 1259, 1934, 10, 34135, 10, 1702, 1248, 61, 75, 6895, 18, 6483, 28622, 10, 1702, 1248, 61, 75, 6895, 19, 26874, 926, 1827, 16, 10861, 16, 25134, 11139, 426, 24927, 24, 24, 24, 9, 926, 1827, 16, 10861, 16, 1259, 11844, 426, 28622, 10, 20, 11, 926, 1827, 16, 10861, 16, 25134, 1067, 926, 1827, 16, 10861, 16, 10212, 5295, 1067, 5896, 6723, 426, 387, 267, 20, 10, 1702, 1248, 61, 75, 6895, 19, 63, 428, 341, 14, 13025, 61, 75, 6895, 18, 63, 428, 1246, 11, 475, 338, 26, 18, 1209, 12236, 558, 338, 26, 18, 29, 5896, 2694, 65, 1190, 426, 539, 10, 24421, 10, 3958, 10, 1262, 16, 2137, 10409, 926, 603, 883, 311, 470, 28, 1003, 825, 2487, 426, 38309, 18, 95, 426, 550, 18, 95, 90, 254, 3278, 9, 926, 1952, 28, 1003, 825, 2487, 426, 38309, 18, 15553, 5896, 1827, 16, 6379, 988, 537, 10, 45565, 16, 7910, 10, 3958, 65, 1190, 581, 13025, 61, 75, 6895, 18, 1077, 13025, 61, 75, 6895, 19, 1077, 6723, 11, 5896, 324, 480, 276, 2413, 10, 3958, 65, 1190, 2192, 1003, 603, 480, 311, 470, 28, 8710, 3906, 11167, 4122, 1089, 426, 1827, 16, 784, 8455, 10, 90, 14, 341, 14, 13025, 61, 75, 6895, 18, 1077, 13025, 61, 75, 6895, 19, 1077, 6723, 14, 314, 19, 18, 18, 1209, 2694, 65, 1190, 11, 475, 480, 11, 1003, 603, 883, 311, 470, 286, 480, 311, 338, 28, 2498, 2426, 426, 38309, 18, 95, 426, 3278, 4717, 9, 1003, 1952, 28, 2498, 2426, 426, 38309, 18, 15553, 1003, 1827, 16, 6379, 988, 537, 10, 1139, 16, 7910, 10, 76, 581, 4122, 1089, 4862, 90, 15993, 4122, 1089, 4862, 91, 15993, 6723, 11, 1465, 804, 751, 8455, 10, 1262, 14, 1246, 19, 14, 341, 19, 14, 1246, 20, 14, 341, 20, 14, 6723, 14, 2476, 2192, 647, 4047, 426, 7870, 10, 12673, 10, 90, 20, 428, 1246, 19, 14, 374, 11, 558, 4879, 10, 91, 20, 428, 341, 19, 14, 374, 1210, 2621, 1076, 550, 926, 684, 90, 5141, 1246, 19, 428, 1827, 16, 4604, 10, 2070, 11, 475, 314, 19316, 475, 314, 24424, 1209, 338, 18, 18, 16, 18, 9424, 926, 684, 91, 5141, 341, 19, 428, 1827, 16, 7237, 10, 2070, 11, 475, 314, 19316, 475, 314, 24424, 1209, 338, 18, 18, 16, 18, 1210, 647, 744, 1465, 804, 3687, 988, 537, 10, 1262, 14, 2426, 14, 1246, 14, 341, 14, 6723, 2192, 647, 18979, 65, 90, 19, 426, 1246, 558, 314, 23, 475, 1827, 16, 4604, 10, 2070, 558, 890, 18, 1210, 647, 18979, 65, 91, 19, 426, 341, 558, 314, 23, 475, 1827, 16, 7237, 10, 2070, 558, 890, 18, 1210 ]
[ 1, 2126, 16, 10212, 1067, 1003, 561, 72, 16, 10212, 1067, 1003, 11555, 16, 19297, 10, 19, 11, 926, 1039, 65, 3958, 426, 5422, 61, 1259, 61, 19, 9252, 926, 2001, 65, 8630, 426, 1360, 61, 20, 1534, 8909, 1551, 928, 11, 926, 603, 8249, 10, 1204, 65, 3958, 61, 18, 3185, 3493, 8249, 10, 27489, 65, 8630, 2192, 1003, 3270, 11091, 10134, 16, 34509, 14, 347, 4608, 28, 1015, 1162, 274, 41101, 1102, 324, 12754, 1479, 985, 1259, 61, 19, 63, 1003, 3270, 11091, 10134, 16, 34509, 14, 347, 969, 9180, 282, 321, 2384, 70, 14, 532, 1102, 2384, 70, 4, 44366, 4874, 10, 1204, 65, 3958, 61, 18, 6483, 4874, 10, 27489, 65, 8630, 1210, 1003, 2126, 16, 10212, 1067, 1003, 561, 72, 16, 10212, 1067, 1003, 11555, 16, 19297, 10, 19, 11, 926, 23561, 65, 2788, 426, 4172, 10, 9346, 10, 27489, 65, 8630, 61, 18, 6483, 1204, 65, 3958, 61, 18, 6895, 18, 1077, 1204, 65, 3958, 61, 19, 6895, 18, 3185, 926, 603, 46708, 286, 314, 1014, 3151, 65, 2788, 30, 11160, 18, 16, 23, 390, 23561, 65, 2788, 29118, 19, 16, 23, 2192, 1003, 3270, 347, 24169, 47780, 1554, 14, 1259, 61, 18, 1077, 1259, 61, 19, 63, 928, 19, 985, 1014, 3151, 65, 2788, 926, 561, 72, 16, 6171, 29027, 86, 7, 85, 27017, 85, 28, 7536, 24, 73, 4, 44366, 1259, 61, 18, 1077, 1259, 61, 19, 1077, 1014, 3151, 65, 2788, 1210, 926, 324, 883, 276, 1246, 6152, 10, 19, 14, 4874, 10, 27489, 65, 8630, 47757, 1003, 23561, 65, 2788, 426, 4172, 10, 9346, 10, 27489, 65, 8630, 61, 75, 6483, 1204, 65, 3958, 61, 18, 6895, 75, 1077, 1204, 65, 3958, 61, 19, 6895, 75, 3185, 1003, 603, 46708, 286, 314, 1014, 3151, 65, 2788, 30, 11160, 18, 16, 23, 390, 23561, 65, 2788, 29118, 19, 16, 23, 2192, 2498, 3270, 347, 24169, 47780, 1554, 14, 1259, 61, 18, 1077, 1259, 61, 19, 1077, 75, 13, 19, 14, 1014, 3151, 65, 2788, 1003, 561, 72, 16, 6171, 10, 985, 7536, 24, 73, 4, 7, 1014, 3151, 65, 2788, 11, 926, 561, 72, 16, 6171, 29027, 80, 2719, 926, 1360, 426, 2126, 16, 1073, 1259, 1067, 477, 2126, 16, 10212, 1067, 477, 561, 72, 16, 10212, 1067, 188, 188, 1510, 1964, 10, 27915, 31, 10134, 16, 27915, 2192, 477, 603, 8249, 10, 27915, 24420, 31, 23, 286, 8249, 10, 27915, 24420, 31, 24, 28, 647, 3270, 8665, 80, 30685, 4983, 647, 3270, 347, 210, 2384, 85, 543, 9854, 63, 2126, 586, 561, 3039, 4, 7, 27915, 61, 18, 63, 647, 3270, 8665, 80, 10692, 4983, 647, 3270, 347, 210, 428, 85, 5166, 65, 16987, 28, 5166, 13271, 3482, 4, 647, 3270, 347, 210, 428, 84, 14627, 65, 16987, 28, 14627, 13271, 3482, 4, 647, 3270, 347, 210, 1912, 47743, 28, 603, 1635, 14, 3046, 1093, 343, 23561, 1294, 10763, 15, 18, 16, 23, 390, 9855, 19, 16, 23, 4, 647, 3270, 8665, 80, 6426, 1060, 4983, 647, 3270, 347, 210, 954, 603, 2551, 15, 85, 66, 311, 1635, 14, 2551, 1990, 586, 66, 587, 321, 658, 18318, 282, 3274, 19, 14, 19, 581, 4, 647, 3270, 347, 342, 286, 3482, 587, 321, 9548, 276, 2551, 14837, 65, 16987, 66, 4, 647, 3270, 347, 210, 954, 603, 2551, 15, 84, 66, 311, 1635, 14, 13271, 2551, 1990, 586, 66, 960, 2551, 36627, 65, 16987, 66, 3082, 449, 647, 3270, 4739, 647, 11555, 16, 19297, 10, 19, 11, 14973, 4466, 14, 8626, 426, 751, 2112, 10, 27915, 61, 19, 33144, 928, 85, 28, 84, 47780, 9594, 47743, 43739, 477, 603, 8249, 10, 8626, 11, 3493, 374, 28, 647, 3270, 347, 4608, 28, 11751, 1162, 274, 6938, 4, 647, 11555, 16, 19297, 10, 19, 11, 1465, 5166, 65, 3039, 426, 8037, 477, 3195, 65, 3039, 426, 8037, 477, 46708, 426, 16247, 1465, 324, 1447, 14, 2788, 276, 4466, 28, 647, 603, 1447, 2224, 18917, 85, 1356, 926, 5166, 65, 3039, 426, 1294, 647, 27985, 1447, 2224, 18917, 84, 1356, 926, 3195, 65, 3039, 426, 1294, 647, 27985, 1447, 2224, 47707, 47743, 1356, 926, 46708, 426, 11475, 647, 1952, 28, 926, 3270, 347, 4608, 28, 11751, 4360, 18332, 2112, 926, 11555, 16, 19297, 10, 19, 11, 1465, 603, 5166, 65, 3039, 311, 417, 8037, 28, 647, 5422, 426, 6458, 65, 18922, 10, 8626, 61, 18, 3185, 647, 5166, 65, 18922, 10, 18376, 14, 14837, 65, 3039, 11, 477, 603, 3195, 65, 3039, 311, 417, 8037, 28, 647, 5422, 426, 1218, 65, 18922, 10, 2711, 65, 3039, 11, 477, 1382, 19761, 10, 18376, 14, 8626, 61, 18, 1077, 8626, 61, 19, 1077, 47743, 11, 188, 188, 7073, 1067, 534, 0, 188, 3933, 40113, 1369, 4797, 188, 3933, 40113, 16, 18293, 16, 19513, 1369, 1453, 784, 1139, 188, 3933, 40113, 16, 6271, 16, 903, 13845, 1369, 40849, 4608, 188, 3933, 40113, 16, 18293, 16, 27462, 1369, 35758, 65, 8897, 188, 188, 3933, 10928, 16, 23075, 16, 18730, 1369, 12768, 188, 188, 3933, 12132, 16, 18730, 1369, 314, 477, 40444, 14, 477, 40444, 3776, 14, 477, 40444, 16486, 11, 534, 188, 2360, 32108, 5078, 10, 12659, 16, 5078, 2192, 1465, 804, 4623, 4338, 21257, 1262, 14, 6951, 14, 475, 8626, 14, 1375, 35436, 2192, 2621, 1827, 3226, 25190, 426, 40444, 62, 926, 954, 25099, 62, 926, 954, 22066, 1067, 62, 926, 954, 1507, 65, 10694, 1067, 62, 926, 954, 1507, 65, 33021, 8622, 13878, 3185, 2621, 2155, 4872, 870, 4338, 870, 9417, 8626, 14, 1375, 35436, 11, 2621, 324, 26671, 276, 1827, 3226, 25190, 28, 926, 1827, 16, 14652, 61, 9321, 16, 11234, 65, 3323, 809, 63, 426, 4797, 16, 28413, 46350, 6009, 10, 1003, 25808, 31, 12659, 16, 8828, 3255, 9738, 28413, 14, 1003, 5050, 31, 9321, 16, 1554, 14, 1003, 2347, 31, 5489, 11, 1465, 804, 867, 65, 9854, 10, 1262, 14, 11705, 2192, 2621, 603, 417, 11705, 28, 926, 1827, 16, 14652, 426, 11836, 926, 1076, 2621, 9898, 426, 550, 9321, 16, 302, 28, 7954, 324, 26671, 276, 1827, 3226, 25190, 95, 2621, 26671, 65, 8630, 426, 40444, 3776, 16, 25099, 16, 10694, 10, 926, 26671, 870, 250, 31, 1262, 3226, 25190, 14, 926, 5690, 870, 250, 31 ]
[ 1, 1026, 282, 1336, 368, 2445, 743, 942, 16, 7644, 248, 1247, 1026, 14, 324, 2056, 14, 3233, 670, 368, 452, 2102, 1289, 1033, 13044, 954, 1286, 368, 251, 3960, 668, 4419, 248, 21647, 14, 286, 368, 403, 16, 6730, 248, 13227, 621, 390, 2586, 282, 513, 593, 14, 368, 872, 282, 1649, 6418, 688, 3324, 16, 10151, 10551, 311, 580, 274, 254, 1640, 1903, 12584, 13227, 10928, 282, 2445, 743, 942, 16, 10789, 42343, 343, 942, 276, 633, 2104, 16, 10151, 10551, 3290, 28849, 2705, 324, 368, 282, 12584, 286, 3407, 343, 16, 26963, 1578, 21205, 16, 45910, 633, 743, 7626, 1996, 407, 1810, 531, 273, 939, 16, 188, 2148, 695, 21047, 2363, 13151, 286, 10517, 5537, 2363, 274, 3371, 348, 4229, 972, 14, 4502, 85, 286, 20049, 398, 16, 7606, 32410, 2357, 6918, 4580, 311, 272, 3781, 13072, 2079, 29400, 1723, 15, 26, 394, 27774, 276, 7606, 32410, 14, 1427, 8681, 11052, 15336, 3448, 328, 1401, 18388, 4569, 16, 839, 9165, 3956, 282, 4503, 4569, 7856, 276, 16, 7930, 1357, 3133, 286, 25837, 743, 3520, 16, 7606, 32410, 14, 11052, 14, 470, 25, 18, 22, 21, 16, 890, 19, 25, 16, 576, 18, 24, 16, 470, 22, 24, 22, 16, 188, 12254, 32516, 20668, 1485, 8591, 597, 7573, 6939, 32516, 276, 7606, 32410, 14, 11052, 16, 380, 25581, 274, 7606, 32410, 311, 580, 274, 1427, 16, 8681, 434, 944, 4311, 7681, 16, 33377, 1055, 387, 254, 3071, 274, 254, 3845, 13794, 1891, 15497, 14, 7606, 32410, 311, 944, 3516, 407, 695, 10827, 2974, 14, 4785, 1668, 16, 41504, 14, 17804, 282, 1427, 2728, 3124, 286, 695, 41664, 323, 2791, 3015, 16, 34081, 1956, 1770, 286, 1956, 2185, 276, 7606, 32410, 314, 4119, 8681, 11, 416, 7748, 85, 753, 254, 7142, 323, 2791, 5939, 14, 17347, 7955, 14, 7056, 286, 11225, 853, 753, 23412, 286, 1242, 399, 4858, 343, 1956, 1770, 323, 1059, 1956, 2185, 432, 17746, 8591, 753, 399, 834, 399, 1219, 273, 16, 1822, 324, 399, 834, 387, 8882, 339, 14725, 14, 343, 7227, 74, 12638, 2150, 16, 188, 26395, 20374, 2652, 924, 23327, 16, 17347, 71, 20374, 2652, 924, 20001, 28109, 753, 14355, 4, 954, 347, 5401, 6130, 7701, 12441, 6184, 73, 21209, 1061, 3610, 16264, 323, 7984, 6376, 35289, 2514, 14, 5596, 14, 390, 35289, 387, 399, 83, 2011, 16722, 7606, 32410, 16, 323, 2791, 282, 607, 21, 16, 7606, 32410, 14, 11052, 16, 22579, 899, 633, 17271, 28, 2807, 35289, 436, 10557, 16, 1395, 5041, 282, 367, 601, 413, 2195, 466, 399, 1657, 15946, 16, 10151, 10, 85, 11, 16768, 37079, 28, 1180, 374, 18, 19, 24, 16367, 16, 188, 17571, 29, 4299, 432, 12234, 276, 3877, 16, 374, 18, 19, 25, 314, 33953, 2066, 481, 7606, 32410, 14, 11052, 22713, 932, 286, 41504, 324, 42718, 16, 719, 27, 19, 20407, 3313, 18408, 7606, 32410, 11052, 470, 25, 18, 22, 20, 16, 8980, 1331, 407, 16, 22713, 420, 324, 42718, 16, 378, 4518, 33386, 12259, 560, 286, 323, 10824, 1220, 276, 7606, 32410, 16, 34057, 6396, 374, 22, 3605, 13157, 30567, 13829, 7606, 32410, 14, 11052, 470, 25, 18, 22, 20, 21188, 8647, 24666, 1384, 44159, 338, 18, 28, 18, 18, 313, 12405, 434, 6240, 16, 338, 18, 28, 20, 18, 313, 16, 7606, 32410, 14, 11052, 16, 495, 19, 26, 9856, 16, 10557, 9597, 16, 7606, 32410, 4704, 4580, 311, 248, 1708, 19552, 14, 1321, 14, 10689, 2079, 4301, 276, 16, 7606, 32410, 14, 11052, 16, 731, 555, 338, 14, 27, 25, 22, 3371, 276, 22409, 890, 15, 19, 20, 343, 248, 5805, 15, 442, 12491, 4174, 274, 338, 21, 282, 16, 188, 6942, 282, 1350, 1056, 7168, 14, 607, 18, 274, 3371, 403, 387, 16, 22858, 11674, 1186, 24882, 274, 16, 1427, 8681, 16, 563, 88, 16, 0, 4369, 15692, 472, 14, 248, 1603, 31314, 85, 274, 254, 5786, 328, 3949, 2462, 282, 254, 5945, 11353, 3059, 328, 4297, 374, 20, 14, 374, 18, 19, 26, 16, 188, 23159, 16, 22009, 354, 16, 16188, 28, 310, 457, 79, 13488, 282, 818, 618, 4179, 282, 254, 8652, 2966, 16, 1664, 457, 85, 1594, 327, 310, 872, 282, 2683, 328, 286, 327, 310, 476, 457, 86, 1315, 15373, 407, 16, 380, 3442, 432, 4886, 10663, 4117, 749, 327, 360, 872, 282, 3437, 254, 12549, 561, 274, 436, 286, 2683, 328, 20087, 16, 5919, 14, 1623, 286, 7573, 14, 327, 1623, 10676, 343, 479, 974, 254, 1865, 701, 457, 85, 17934, 942, 282, 3437, 254, 12549, 561, 274, 353, 311, 327, 360, 865, 327, 254, 32425, 4611, 2269, 21083, 24833, 555, 8611, 4104, 14773, 18667, 16, 188, 43, 9845, 254, 4954, 282, 2683, 328, 254, 20087, 274, 615, 4104, 3526, 974, 353, 555, 1628, 16878, 276, 556, 3604, 16, 731, 555, 8649, 16140, 561, 274, 436, 13866, 16, 731, 555, 4130, 248, 2187, 274, 17429, 3941, 328, 4273, 663, 403, 1311, 2732, 282, 9929, 16, 380, 4022, 13619, 7914, 3690, 452, 811, 37632, 6658, 30643, 406, 328, 254, 16140, 327, 452, 6596, 282, 3191, 1683, 276, 16878, 286, 1574, 286, 8364, 254, 9640, 16, 188, 4357, 14, 348, 772, 18864, 555, 749, 1125, 14, 1125, 2008, 1063, 14, 348, 274, 3850, 813, 14, 1336, 555, 7053, 16, 839, 2602, 751, 254, 20087, 274, 254, 4104, 21083, 24833, 16, 839, 2033, 327, 276, 1316, 282, 2055, 3461, 360, 2961, 282, 1076, 28554, 282, 772, 32786, 327, 933, 452, 573, 248, 4179, 348, 9799, 282, 1851, 353, 29466, 1919, 407, 254, 3326, 21083, 5132, 16, 2003, 369, 272, 7673, 1123, 5250, 91, 16, 188, 5125, 254, 2211, 274, 254, 1689, 1603, 2819, 14, 310, 587, 18714, 843, 7439, 495, 22, 587, 2330, 3969, 4009, 14, 1633, 32786, 286, 6255, 624, 9094, 282, 16878, 16, 188, 3912, 274, 254, 6287, 4665, 14773, 18667, 11068, 758, 254, 1985, 21083, 2142, 369, 8244, 15800, 7993, 3969, 4009, 16, 5995, 254, 2948, 8246, 250, 554, 15, 57, 1337, 569, 39572, 14, 3969, 4009, 1177, 6045, 16, 1997, 695, 5087, 14, 5703, 276, 13165, 497, 9787, 14, 328, 3278, 14, 370, 19, 24, 18, 590, 1722, 324, 3969, 16, 2666, 25411, 276, 11089, 16878, 497, 9787, 1002, 624, 16, 380, 3278, 1963, 276, 248, 1656, 15 ]
[ 1, 8102, 19068, 1547, 1002, 2263, 248, 20839, 343, 729, 3, 8229, 3809, 248, 20839, 33, 188, 5639, 368, 8340, 17973, 512, 274, 327, 33, 188, 10072, 801, 15, 2523, 1683, 21570, 811, 1577, 1444, 286, 2849, 561, 254, 3260, 974, 596, 2780, 596, 4428, 457, 86, 6648, 1663, 597, 343, 254, 2501, 390, 254, 671, 282, 4842, 512, 274, 436, 16, 188, 2515, 14, 248, 1623, 1247, 2342, 4424, 4910, 741, 16, 188, 510, 21676, 12147, 610, 311, 900, 670, 368, 961, 282, 1041, 5717, 34043, 2462, 282, 248, 2342, 286, 254, 2194, 295, 8395, 2042, 476, 417, 8049, 370, 21, 23, 14, 18, 18, 18, 16, 188, 35, 11814, 401, 9847, 374, 18, 21, 10, 77, 11, 9852, 4343, 368, 282, 1041, 6650, 8129, 11384, 14, 25068, 14, 27016, 286, 22049, 282, 248, 2342, 2778, 8915, 1916, 248, 743, 580, 16, 188, 35, 21676, 12147, 374, 18, 21, 10, 77, 11, 4343, 5758, 390, 3587, 25068, 282, 321, 2152, 2778, 10082, 1024, 769, 4604, 79, 1941, 666, 25068, 14, 11384, 390, 10972, 16, 188, 1130, 669, 34248, 944, 274, 254, 34592, 2347, 274, 248, 2057, 374, 18, 21, 10, 77, 11, 286, 7863, 7585, 254, 1213, 282, 3915, 295, 8395, 7852, 16, 188, 11434, 254, 21676, 12147, 2024, 14, 626, 311, 248, 5758, 274, 370, 23, 14, 18, 18, 18, 286, 248, 4718, 274, 370, 21, 23, 14, 18, 18, 18, 282, 321, 43503, 276, 254, 15402, 2332, 282, 3054, 390, 14631, 254, 1683, 16, 188, 2231, 769, 46837, 25068, 666, 403, 4003, 758, 248, 21676, 12147, 610, 14, 2228, 14, 2328, 390, 34483, 665, 8129, 4806, 311, 417, 2696, 282, 321, 5717, 16, 188, 510, 5758, 274, 370, 23, 14, 18, 18, 18, 274, 2347, 286, 6650, 11384, 327, 587, 2490, 254, 2703, 1402, 286, 1294, 274, 254, 1683, 1339, 801, 321, 2818, 16, 5931, 25068, 286, 11384, 1339, 15598, 343, 388, 7081, 457, 85, 40934, 14922, 26808, 286, 1339, 2445, 512, 1922, 3532, 14, 34552, 286, 642, 11330, 16, 188, 43046, 2347, 25068, 2408, 665, 1738, 286, 5098, 25068, 747, 755, 8627, 1394, 6666, 390, 15270, 5651, 7873, 721, 16, 12033, 368, 961, 1093, 4806, 2818, 390, 417, 14, 512, 1738, 286, 5098, 3265, 1339, 321, 9458, 801, 16, 3649, 3035, 24588, 1339, 669, 321, 2790, 603, 5651, 16, 188, 9606, 254, 1683, 368, 457, 619, 961, 282, 7274, 286, 3533, 748, 11384, 872, 282, 321, 1143, 282, 254, 2779, 16, 188, 510, 7274, 3203, 3831, 311, 3427, 254, 1057, 348, 665, 642, 14, 2903, 368, 457, 619, 961, 282, 1041, 2056, 327, 626, 311, 3335, 14440, 254, 7274, 311, 31217, 2154, 12820, 255, 27639, 272, 401, 9847, 374, 18, 21, 10, 77, 11, 35512, 16, 188, 686, 1316, 282, 3316, 254, 21903, 274, 254, 11384, 14, 368, 587, 872, 282, 2445, 343, 248, 21663, 282, 3533, 748, 2169, 274, 785, 368, 403, 7028, 286, 843, 1181, 353, 587, 2042, 16, 188, 510, 21663, 587, 1862, 368, 248, 3378, 274, 254, 3203, 14, 533, 368, 457, 619, 872, 282, 1477, 328, 282, 254, 37889, 16, 188, 510, 37889, 587, 1316, 272, 39419, 282, 3533, 748, 254, 1294, 274, 254, 2342, 587, 321, 2304, 512, 274, 436, 785, 311, 6140, 16, 188, 18952, 276, 2482, 14, 368, 457, 619, 669, 872, 282, 321, 11835, 324, 254, 2057, 9852, 2332, 533, 311, 1707, 328, 254, 7274, 4236, 4892, 254, 2982, 2042, 274, 25068, 16, 188, 10476, 254, 9852, 311, 6825, 14, 368, 587, 563, 282, 10902, 747, 368, 9155, 650, 16, 188, 510, 2332, 327, 587, 321, 2961, 282, 513, 512, 274, 836, 25068, 390, 11384, 587, 321, 4694, 713, 272, 6090, 734, 2320, 2828, 407, 254, 37889, 16, 188, 1853, 254, 785, 311, 1129, 6140, 14, 626, 587, 321, 20712, 432, 254, 2320, 282, 2014, 254, 21663, 16, 188, 1253, 1042, 254, 19989, 264, 368, 3489, 872, 282, 513, 33, 188, 26206, 368, 872, 370, 20, 18, 14, 18, 18, 18, 282, 513, 512, 254, 11384, 282, 254, 2342, 16, 5431, 39900, 587, 2353, 248, 338, 18, 15, 20, 18, 7, 44860, 15475, 2320, 282, 321, 867, 597, 16, 826, 311, 2501, 596, 587, 867, 9010, 324, 665, 769, 9696, 20629, 666, 327, 774, 4955, 1285, 254, 295, 8395, 16, 1395, 1038, 457, 86, 961, 282, 452, 1594, 1663, 597, 327, 368, 1848, 457, 86, 1847, 286, 835, 452, 641, 2501, 282, 4842, 353, 16, 188, 2515, 14, 276, 436, 1610, 1495, 370, 20, 14, 18, 18, 18, 650, 321, 43503, 282, 4947, 633, 15475, 3084, 16, 188, 35, 2194, 274, 370, 20, 20, 14, 18, 18, 18, 311, 1012, 2066, 282, 321, 4694, 713, 254, 295, 8395, 6090, 734, 2320, 16, 188, 10476, 368, 452, 6140, 10575, 286, 1193, 254, 2342, 14, 254, 295, 8395, 2320, 587, 321, 4095, 286, 368, 587, 321, 2041, 282, 1242, 254, 785, 16, 188, 510, 21663, 587, 2662, 254, 801, 3687, 274, 597, 282, 607, 18, 7, 274, 520, 3203, 14, 533, 276, 436, 1610, 311, 370, 19, 18, 14, 18, 18, 18, 16, 188, 10476, 254, 785, 555, 643, 4603, 6140, 14, 345, 476, 2662, 520, 2379, 3687, 286, 4615, 254, 6477, 274, 520, 3203, 16, 188, 510, 2501, 276, 254, 44860, 15475, 2320, 311, 324, 8715, 785, 16, 1286, 1051, 254, 3843, 626, 369, 641, 872, 282, 889, 353, 286, 368, 4285, 282, 513, 688, 2982, 785, 282, 254, 2342, 2778, 5494, 807, 835, 2662, 248, 1767, 1316, 286, 6761, 327, 2501, 14, 532, 353, 650, 417, 321, 4936, 561, 282, 254, 21663, 1863, 254, 2379, 3687, 16, 188, 510, 1865, 436, 2024, 311, 1869, 248, 21676, 1259, 311, 974, 626, 403, 10890, 20712, 14, 1637, 34592, 286, 756, 34043, 14, 5717, 25068, 3103, 16, 188, 2976, 785, 933, 321, 6140, 276, 719, 2524, 390, 1637, 16, 188, 35, 1247, 5585, 274, 254, 21676, 12147, 374, 18, 21, 10, 77, 11, 4488, 254, 11814, 401, 9847, 374, 18, 21, 10, 77, 11, 311, 327, 626, 311, 1637, 34592, 16, 188, 11434, 254, 5379, 1259, 14, 626, 311, 248, 4718, 274, 763, 20712, 590, 21663, 16, 731, 311, 6742, 603, 368, 452, 756, 580, 21663, 14, 532, 248, 4718, 274, 763, 27513, 282 ]
[ 1, 2884, 16, 826, 311, 254, 3834, 7417, 324, 665, 7906, 3, 47111, 436, 2978, 4855, 597, 343, 688, 3295, 18937, 24468, 390, 7417, 1051, 343, 688, 22794, 7340, 924, 324, 248, 18534, 5028, 16, 0, 2345, 1995, 20441, 16, 1201, 1995, 20441, 12801, 4167, 274, 7525, 317, 14, 6108, 102, 17163, 39224, 11678, 15317, 11678, 14335, 500, 635, 67, 560, 14, 2318, 338, 24, 21, 18, 85, 16, 9849, 8571, 20172, 286, 3981, 3762, 276, 254, 6108, 235, 17163, 15317, 21544, 23602, 40399, 5953, 224, 15317, 11678, 2405, 99, 19885, 23602, 20787, 2405, 101, 11678, 2405, 231, 21466, 5293, 30343, 28, 306, 7018, 39309, 6935, 1164, 945, 1416, 356, 1995, 20441, 16, 0, 21516, 441, 324, 254, 7760, 11660, 809, 40513, 10404, 4894, 14, 830, 1241, 1575, 5798, 30986, 1663, 2292, 480, 971, 1427, 19570, 32006, 41446, 16, 188, 2148, 331, 5977, 3874, 33980, 7475, 14, 272, 40777, 17388, 382, 432, 6010, 14, 1909, 4393, 319, 311, 417, 811, 248, 5686, 14, 353, 457, 85, 248, 1026, 274, 1464, 14, 580, 327, 555, 4003, 616, 282, 3768, 616, 15523, 4179, 286, 43709, 22088, 343, 254, 1499, 16, 188, 28759, 6355, 378, 10816, 283, 311, 254, 8258, 31799, 274, 1427, 19570, 23673, 30986, 16, 3216, 6355, 457, 85, 4311, 12464, 286, 440, 1131, 4632, 1055, 1416, 4575, 348, 248, 17388, 382, 311, 4780, 580, 274, 1427, 19570, 457, 1640, 4783, 19606, 16, 3928, 3797, 274, 10265, 286, 39063, 9642, 343, 616, 13296, 592, 276, 254, 19192, 274, 616, 1193, 17388, 4382, 3272, 403, 2631, 2094, 274, 22223, 16, 188, 4412, 12055, 286, 4731, 343, 254, 21997, 8036, 7590, 382, 286, 3229, 1065, 1201, 8275, 14685, 16504, 14, 712, 312, 7252, 16962, 555, 12093, 8747, 2124, 616, 21080, 348, 580, 274, 1427, 19570, 457, 22740, 5186, 17388, 1322, 274, 23673, 14, 31254, 286, 29764, 16, 12033, 701, 311, 2824, 273, 254, 25035, 24351, 309, 2239, 28069, 32006, 16339, 390, 15672, 343, 616, 3002, 434, 1361, 309, 13758, 35705, 286, 26141, 28401, 2344, 14, 712, 312, 7252, 311, 1873, 324, 616, 257, 503, 609, 14, 7561, 1008, 17388, 17028, 721, 16, 0, 2721, 1386, 441, 272, 4436, 14, 4856, 248, 2426, 14, 3808, 328, 441, 328, 6567, 17, 10272, 11741, 390, 7325, 561, 254, 825, 282, 254, 977, 16, 839, 587, 751, 888, 282, 368, 348, 3402, 348, 360, 476, 3, 10944, 368, 3, 0, 33817, 9362, 468, 252, 11058, 14, 15734, 14, 14354, 8248, 14, 26131, 1027, 21685, 4139, 314, 10230, 1162, 14, 19047, 14, 7672, 14, 6567, 4444, 36, 4722, 1505, 21242, 937, 1122, 311, 248, 8307, 40745, 286, 35477, 25037, 663, 9211, 282, 23140, 939, 520, 2481, 10322, 14745, 4897, 16, 496, 4028, 374, 18, 19, 24, 345, 3737, 248, 9645, 10727, 10650, 867, 282, 323, 570, 457, 85, 4212, 1956, 769, 6709, 521, 37774, 3068, 1397, 750, 555, 272, 2320, 328, 19047, 830, 345, 555, 9024, 520, 10280, 390, 7758, 286, 624, 683, 374, 25, 16, 20, 45, 17883, 16, 750, 555, 248, 4897, 328, 14745, 533, 311, 4756, 348, 6118, 468, 252, 830, 345, 555, 11776, 338, 25, 20, 45, 28156, 286, 345, 555, 9024, 520, 10280, 328, 436, 4897, 16, 188, 33817, 555, 272, 2320, 328, 2856, 1244, 2610, 35822, 276, 533, 345, 555, 9043, 624, 683, 374, 25, 16, 20, 18181, 17883, 16, 750, 34938, 520, 44317, 390, 29129, 328, 2856, 1244, 2610, 35822, 16, 1860, 946, 775, 4010, 436, 2951, 533, 1635, 1788, 16, 188, 1304, 555, 248, 3135, 328, 401, 9314, 36, 16114, 276, 533, 345, 10972, 520, 10280, 286, 7758, 16, 3730, 14, 345, 555, 11776, 576, 21, 26, 12695, 16, 1286, 665, 5441, 282, 915, 520, 6051, 835, 596, 476, 4010, 436, 2951, 533, 311, 1635, 1788, 16, 188, 1304, 555, 7221, 7672, 276, 4297, 374, 18, 19, 23, 16, 750, 34938, 520, 7758, 286, 10280, 274, 520, 328, 6051, 830, 345, 555, 11776, 248, 1162, 274, 17883, 16, 380, 13455, 311, 1635, 1788, 16, 188, 1304, 555, 248, 4897, 3135, 328, 14745, 276, 533, 345, 12093, 338, 25, 20, 45, 28156, 16, 3730, 14, 345, 9073, 520, 10280, 16, 1286, 3655, 5441, 282, 915, 520, 10280, 835, 596, 476, 4010, 436, 2951, 16, 188, 18621, 2622, 633, 6667, 668, 23350, 9362, 468, 252, 16, 0, 7789, 7898, 1661, 18671, 826, 4064, 2290, 13716, 2979, 21, 21874, 5949, 311, 5864, 324, 9700, 2479, 889, 756, 286, 417, 324, 889, 276, 10131, 390, 9037, 7067, 16, 380, 3408, 2811, 2462, 3189, 432, 4647, 282, 8634, 286, 254, 6944, 274, 254, 3189, 311, 3948, 387, 576, 23, 18, 8914, 960, 248, 38595, 11633, 16, 496, 1316, 282, 2475, 254, 4573, 274, 4064, 2290, 13716, 2979, 21, 276, 254, 3300, 14, 436, 4064, 2290, 13716, 2979, 21, 21874, 12081, 3672, 248, 867, 274, 18011, 7269, 16, 380, 18011, 7269, 403, 36833, 387, 254, 1057, 671, 348, 254, 3415, 286, 1545, 254, 5408, 282, 4565, 248, 2546, 6783, 274, 5583, 3909, 6958, 4064, 2290, 13716, 2979, 21, 4573, 16, 380, 4573, 274, 254, 3415, 311, 835, 3303, 407, 10657, 254, 473, 16, 38, 16, 274, 254, 3415, 282, 254, 2546, 6783, 16, 0, 1982, 368, 961, 282, 2960, 441, 390, 452, 248, 1897, 668, 23481, 1466, 274, 19754, 2051, 273, 14, 4356, 889, 436, 825, 16, 1286, 368, 4370, 417, 282, 889, 436, 825, 14, 1872, 1903, 282, 4856, 272, 4436, 282, 8464, 61, 256, 63, 878, 1466, 1153, 1377, 2051, 273, 16, 2000, 16, 188, 8177, 368, 324, 29473, 441, 16, 839, 11129, 633, 1564, 286, 587, 3669, 348, 3402, 348, 1841, 16, 17259, 39072, 360, 403, 561, 274, 8349, 2413, 593, 360, 11129, 633, 21759, 16, 188, 27432, 490, 251, 505, 274, 254, 6151, 3547, 407, 19803, 273, 282, 772, 24323, 533, 3144, 561, 27565, 16, 839, 8788, 1582, 282, 889, 633, 2958, 1460, 324, 2626, 1952, 286, 368, 476, 440, 30336, 387, 665, 671, 16, 0, 6411, 13547, 28, 771, 44756, 12426, 401, 17095, 378, 382, 288, 5116, 15096, 399, 1657, 6443, 35699, 4318, 1783, 1180, 1223, 11100, 338, 22, 16, 8839, 4963, 28, 448, 44756, 15, 4506, 15, 7875, 273, 15, 68, 382, 288, 15, 2343, 15, 21034, 15, 70, 1657, 15, 1160, 15, 74 ]
[ 1, 286, 310, 852, 248, 2187, 274, 3425, 785, 8128, 2292, 286, 1033, 593, 2156, 248, 5435, 650, 913, 597, 16, 750, 369, 5167, 2151, 14, 532, 345, 3470, 457, 86, 276, 1247, 5127, 16, 11922, 345, 16241, 328, 2732, 282, 513, 772, 785, 8128, 16, 4186, 563, 345, 457, 70, 10629, 328, 772, 13204, 289, 2005, 273, 286, 40543, 273, 276, 772, 13257, 16, 839, 14853, 18829, 775, 5374, 14499, 379, 16, 12809, 360, 457, 70, 3964, 2830, 1574, 282, 913, 775, 843, 3364, 353, 369, 324, 441, 407, 42343, 1285, 772, 11197, 668, 843, 3364, 596, 3428, 16, 4978, 2008, 360, 457, 70, 1354, 43948, 328, 843, 1125, 45384, 1063, 345, 6323, 742, 16, 750, 369, 18590, 1136, 5404, 286, 1845, 7110, 282, 22509, 11006, 276, 772, 13257, 1034, 841, 360, 1815, 345, 457, 70, 3048, 314, 264, 16173, 345, 650, 324, 688, 6158, 13351, 839, 1582, 573, 254, 2710, 282, 513, 2626, 668, 775, 16, 6710, 315, 14, 12064, 254, 19713, 81, 2984, 3569, 22342, 4476, 16482, 15, 15863, 14, 626, 457, 85, 1594, 248, 2298, 38911, 668, 254, 23009, 4141, 59, 40, 3760, 327, 3032, 282, 1041, 353, 7282, 282, 2654, 353, 282, 775, 327, 345, 457, 85, 811, 417, 3684, 2151, 282, 10629, 16, 1286, 368, 452, 248, 8857, 324, 10344, 343, 436, 580, 14, 1315, 479, 865, 3, 188, 23, 16, 380, 16579, 47629, 16, 310, 457, 79, 417, 4864, 668, 254, 5435, 9150, 254, 6121, 37997, 35372, 3400, 9749, 314, 19666, 596, 457, 251, 5440, 561, 626, 13351, 1583, 14, 16435, 310, 715, 1045, 282, 8057, 368, 668, 254, 956, 274, 1770, 663, 403, 417, 9425, 274, 748, 596, 5838, 254, 2286, 1063, 327, 1034, 1382, 16, 380, 1479, 327, 807, 1431, 248, 1603, 12416, 274, 1696, 14118, 16, 45819, 14, 321, 1879, 254, 5288, 47629, 14, 345, 663, 3695, 4220, 390, 332, 746, 1019, 11676, 5280, 780, 3556, 1091, 747, 324, 254, 2774, 1382, 16, 330, 282, 303, 1045, 390, 626, 311, 3901, 16, 731, 6395, 282, 254, 1640, 274, 441, 16, 1268, 670, 254, 2774, 374, 4813, 1382, 32985, 747, 254, 2176, 15, 81, 15, 11397, 554, 390, 7629, 747, 248, 20329, 6798, 67, 757, 1526, 368, 865, 368, 457, 251, 276, 254, 2485, 274, 248, 5288, 47629, 16, 1664, 457, 85, 417, 1181, 368, 476, 513, 668, 353, 14, 532, 4780, 248, 1068, 274, 321, 4548, 3036, 3700, 274, 254, 3400, 5293, 1503, 321, 276, 1316, 282, 3536, 2764, 7051, 16, 188, 1516, 1470, 369, 11479, 407, 374, 2315, 16, 3845, 254, 1258, 85, 6149, 309, 1761, 85, 3, 16968, 13803, 33561, 286, 3732, 3, 6175, 311, 254, 9138, 427, 766, 1256, 10663, 32692, 9333, 663, 593, 25708, 16897, 331, 27033, 286, 479, 324, 615, 7608, 1361, 1382, 16, 1223, 324, 254, 1868, 626, 497, 641, 18770, 15629, 14, 5139, 274, 729, 1038, 9061, 22764, 382, 909, 9456, 247, 4240, 14, 641, 580, 369, 1996, 248, 19713, 81, 2984, 390, 248, 23009, 4141, 59, 40, 3760, 286, 596, 497, 512, 1062, 43870, 343, 615, 23228, 3357, 16, 1547, 497, 1247, 286, 360, 476, 457, 86, 5419, 3400, 343, 729, 2151, 603, 368, 457, 251, 593, 26990, 282, 1074, 4684, 3400, 276, 254, 2341, 6640, 14, 3523, 16, 2104, 3, 4252, 1505, 13626, 46629, 14, 4597, 286, 2323, 88, 1145, 356, 3, 188, 53, 9469, 286, 331, 27033, 286, 254, 12745, 286, 4196, 44717, 5898, 432, 254, 427, 18068, 37, 16, 188, 1253, 1042, 23009, 4141, 59, 40, 3760, 1431, 324, 33, 188, 5639, 310, 42955, 11608, 580, 624, 33, 731, 807, 321, 248, 745, 15, 875, 274, 1800, 20, 603, 368, 457, 251, 417, 9915, 14, 532, 353, 457, 85, 254, 28843, 22053, 16, 380, 580, 663, 27587, 17, 45125, 17, 80, 23547, 17, 32404, 2431, 633, 6071, 328, 248, 1382, 1205, 13496, 368, 1477, 14, 254, 580, 663, 457, 85, 44089, 328, 16869, 29375, 387, 254, 980, 274, 254, 5332, 14, 254, 580, 663, 457, 85, 17934, 2489, 286, 683, 4211, 5332, 15543, 286, 417, 4866, 273, 520, 20727, 2057, 274, 8683, 23513, 286, 9848, 6654, 8735, 387, 254, 8195, 1360, 16, 188, 510, 8262, 4869, 274, 5898, 14, 1081, 3400, 286, 1303, 15, 23450, 14, 403, 12745, 3, 3646, 1851, 248, 1612, 790, 387, 254, 13859, 274, 248, 1603, 5645, 360, 457, 307, 512, 4315, 282, 452, 1289, 2049, 254, 1026, 41218, 388, 18810, 3, 310, 865, 1125, 5898, 286, 2185, 663, 403, 18764, 2672, 274, 254, 5293, 3, 188, 43, 21569, 327, 5435, 663, 1652, 4667, 407, 254, 12469, 3122, 13020, 254, 3893, 332, 6245, 16, 188, 12622, 368, 2378, 22942, 479, 14, 5859, 33, 188, 39500, 747, 360, 497, 276, 254, 977, 1361, 835, 41218, 9127, 959, 14, 46629, 15404, 188, 43, 6140, 618, 1062, 801, 338, 18, 45, 248, 2065, 3502, 286, 14099, 248, 23009, 4141, 59, 40, 3760, 276, 254, 1364, 13537, 390, 593, 16, 310, 2144, 597, 3108, 775, 670, 345, 369, 7618, 16, 310, 369, 2674, 2722, 2151, 282, 1477, 775, 286, 345, 652, 4265, 265, 6214, 324, 248, 1205, 14, 835, 8013, 282, 248, 2849, 16, 1223, 310, 2144, 597, 3108, 286, 369, 668, 282, 1477, 14, 286, 345, 652, 4265, 265, 6214, 959, 16, 1223, 959, 16, 1223, 959, 16, 1939, 15273, 636, 3, 3497, 387, 248, 11474, 13494, 3, 19101, 479, 10142, 3, 188, 42, 18810, 1091, 310, 457, 307, 573, 436, 1480, 16, 310, 369, 276, 248, 338, 18, 77, 286, 670, 310, 4667, 248, 5435, 14, 345, 4400, 4667, 479, 835, 2956, 652, 2747, 286, 257, 1410, 1061, 314, 927, 248, 8095, 39105, 43038, 4110, 481, 310, 34204, 345, 369, 2732, 282, 3536, 479, 432, 7922, 775, 959, 16, 1268, 356, 285, 14, 345, 369, 8506, 265, 387, 254, 980, 274, 254, 1362, 16, 188, 1516, 311, 248, 790, 1470, 14, 532, 310, 452, 282, 1309, 310, 35598, 512, 618, 5435, 3400, 5363, 35820, 3, 2666, 756, 31778, 311, 310, 1038, 457, 86, 751, 282, 1382, 343, 729, 314, 264, 2185, 1996, 324, 327, 2563, 11, 2156, 2151, 3, 188, 510, 28665, 15928, 14, 1258, 457, 85, 13921, 34683, 5556, 16025, 16, 740, 33103, 24130, 282, 254, 1258, 85, 13921, 3339 ]
[ 1, 321, 977, 324, 479, 16, 188, 5, 19, 310, 715, 248, 32961, 40105, 314, 1946, 310, 452, 248, 3837, 7021, 281, 2660, 282, 254, 9902, 14, 286, 715, 4250, 2732, 282, 1916, 618, 801, 975, 481, 2532, 254, 309, 11926, 11409, 4793, 17, 1565, 324, 248, 13737, 2390, 1393, 40105, 3612, 188, 20, 5, 310, 452, 643, 11625, 37954, 324, 338, 23, 1090, 14, 286, 3614, 310, 18114, 2780, 580, 1582, 14148, 4569, 14, 1042, 254, 21890, 6761, 248, 1247, 2874, 274, 671, 328, 688, 274, 254, 11625, 347, 10082, 972, 4, 314, 14999, 3527, 1157, 2417, 17, 251, 1022, 5294, 867, 15, 8549, 14, 2501, 4184, 14, 3838, 2612, 3612, 188, 19, 16, 6107, 16, 380, 11409, 3032, 282, 4503, 282, 512, 942, 286, 512, 24975, 16, 0, 10186, 254, 46534, 14, 626, 587, 321, 35025, 1020, 274, 1564, 282, 13764, 3223, 359, 7185, 16, 188, 35, 1022, 15, 22443, 33976, 32948, 5044, 32474, 587, 321, 5444, 16, 5883, 14209, 286, 248, 1247, 10864, 587, 321, 2449, 16, 740, 11038, 9540, 587, 669, 321, 6459, 282, 3655, 29596, 282, 7829, 16, 0, 510, 3206, 6284, 274, 2341, 833, 1331, 687, 407, 3792, 27470, 87, 378, 6781, 1743, 555, 6825, 254, 1962, 274, 427, 20, 25, 14, 18, 18, 18, 348, 254, 743, 5758, 16151, 16, 188, 510, 3746, 11930, 6825, 254, 1962, 1285, 272, 10517, 4654, 387, 254, 35630, 33102, 276, 26045, 6190, 16, 188, 510, 4654, 573, 276, 20615, 3326, 36202, 747, 10593, 317, 901, 329, 4246, 44637, 5154, 14, 6901, 78, 1757, 18439, 286, 254, 8677, 3792, 14, 378, 2700, 6654, 9731, 11617, 14, 2124, 2489, 16, 0, 2275, 476, 310, 1806, 254, 35902, 324, 30803, 16, 188, 5636, 16310, 2135, 5898, 16, 310, 452, 248, 1926, 274, 30803, 533, 310, 1218, 286, 2674, 848, 18, 7, 274, 254, 3418, 830, 626, 16, 368, 476, 4856, 479, 3808, 2101, 668, 353, 16, 0, 25672, 17790, 367, 958, 311, 248, 743, 4311, 8934, 327, 1856, 457, 86, 1354, 2524, 14, 3498, 14, 390, 1002, 1842, 3, 1664, 311, 669, 641, 5758, 390, 4718, 1316, 593, 436, 311, 748, 2701, 441, 1045, 387, 367, 958, 5891, 5999, 1062, 2628, 16, 1395, 476, 751, 254, 23096, 276, 633, 3448, 13096, 14, 436, 311, 1594, 327, 369, 7282, 532, 1012, 368, 476, 1619, 272, 1316, 286, 4615, 729, 254, 1689, 1362, 16, 3699, 9676, 4602, 587, 785, 343, 368, 282, 18592, 633, 1316, 286, 1041, 2056, 327, 368, 4615, 729, 407, 633, 20030, 16, 731, 457, 85, 248, 1062, 2875, 1213, 286, 360, 457, 251, 1045, 343, 368, 512, 254, 1026, 16, 188, 2275, 1181, 403, 14117, 17790, 367, 958, 33, 188, 25672, 17790, 367, 958, 403, 254, 1026, 282, 563, 603, 368, 5565, 282, 4615, 9564, 432, 338, 282, 687, 338, 14, 18, 18, 18, 23096, 276, 248, 2094, 2114, 274, 671, 16, 2028, 10982, 836, 23096, 626, 311, 641, 5758, 1316, 593, 1872, 1903, 282, 1316, 348, 1125, 390, 348, 1612, 368, 650, 747, 16, 1395, 476, 1002, 2014, 348, 1612, 348, 370, 21, 16, 27, 23, 324, 254, 8934, 593, 368, 457, 251, 2041, 282, 751, 1017, 3184, 23096, 387, 17740, 7702, 16, 380, 624, 23096, 327, 368, 1316, 254, 19592, 254, 590, 8934, 4236, 311, 16, 188, 9654, 670, 353, 3144, 282, 14659, 254, 23096, 360, 3831, 2624, 14659, 4466, 432, 1903, 3112, 14659, 282, 13096, 593, 360, 865, 360, 457, 251, 2041, 282, 751, 254, 23096, 276, 633, 3448, 254, 1527, 1362, 16, 188, 1253, 19091, 403, 254, 367, 958, 33, 188, 1368, 452, 763, 9898, 276, 8934, 3616, 670, 353, 3144, 282, 14117, 17790, 367, 958, 16, 1395, 476, 3489, 869, 248, 580, 15964, 13391, 8934, 348, 963, 272, 248, 580, 15964, 6106, 8934, 16, 839, 5419, 368, 3489, 248, 8934, 1707, 328, 633, 2382, 368, 5053, 282, 11791, 16, 5066, 368, 452, 254, 4188, 276, 3189, 14, 360, 3831, 248, 5172, 286, 9456, 4360, 16, 2646, 16263, 748, 4313, 1755, 276, 254, 16565, 368, 587, 321, 2041, 282, 1041, 248, 2964, 286, 3906, 4735, 3461, 16, 188, 1253, 457, 85, 254, 12293, 747, 670, 1795, 4097, 272, 9445, 33, 188, 1853, 2019, 348, 254, 1213, 4424, 353, 457, 85, 593, 2875, 282, 513, 286, 626, 311, 1612, 785, 2347, 16, 1664, 311, 763, 3956, 276, 533, 368, 476, 563, 668, 15175, 272, 1316, 29, 368, 452, 254, 4466, 274, 1438, 3510, 282, 254, 16565, 390, 23653, 248, 14036, 16, 188, 1982, 368, 2662, 248, 14036, 368, 587, 5370, 328, 254, 769, 3513, 3172, 1548, 666, 6237, 16, 4186, 1045, 368, 587, 7325, 561, 248, 1903, 14036, 343, 633, 4893, 1460, 1648, 633, 1390, 14, 4436, 14, 1162, 14, 10393, 14, 3616, 14, 670, 368, 872, 729, 8326, 407, 14, 286, 944, 15108, 633, 27256, 603, 368, 452, 16, 731, 457, 85, 1726, 282, 11791, 633, 1416, 348, 248, 500, 20811, 390, 40628, 593, 772, 2214, 476, 751, 633, 1316, 6715, 348, 3402, 348, 1841, 16, 1395, 933, 1847, 282, 3957, 888, 432, 772, 2214, 1525, 495, 18, 2819, 16, 188, 1516, 311, 254, 1213, 327, 3809, 1619, 670, 368, 751, 248, 14036, 16, 1822, 368, 513, 311, 7325, 561, 248, 2875, 825, 14, 818, 633, 27256, 14, 286, 587, 751, 248, 14036, 888, 432, 772, 2214, 1525, 254, 4813, 3, 188, 1368, 476, 669, 563, 254, 7420, 274, 19859, 248, 8934, 4684, 328, 772, 4282, 939, 772, 8934, 21400, 16, 15246, 254, 769, 22330, 255, 666, 6237, 286, 368, 457, 251, 4558, 282, 2706, 272, 12745, 8934, 16, 3845, 368, 587, 3489, 248, 8934, 1921, 286, 3189, 286, 368, 457, 251, 512, 867, 282, 1041, 248, 8934, 16, 1585, 254, 16565, 3135, 368, 476, 3489, 432, 15847, 274, 1903, 4344, 20055, 286, 16747, 435, 3762, 533, 368, 476, 1115, 1444, 343, 16, 1395, 476, 1767, 254, 2426, 14, 3189, 14, 286, 1921, 348, 963, 16, 34141, 274, 960, 772, 3762, 286, 20055, 368, 1311, 513, 452, 254, 4360, 282, 11791, 633, 1193, 27256, 348, 963, 3, 1664, 403, 1015, 7876, 14, 286, 14614, 593, 626, 403, 6582, 274, 8418, 1015, 23096, 368, 476, 1041, 16, 35185, 4212, 254, 769, 1793, 2555, 666, 6237, 286, 867, 254, 2332 ]
[ 1, 2563, 274, 2942, 16, 1260, 4400, 348, 368, 1052, 441, 14, 360, 4328, 633, 14076, 16, 839, 476, 7957, 633, 10812, 343, 248, 624, 3458, 286, 624, 27829, 10812, 16, 188, 57, 1481, 1773, 11887, 4934, 9806, 6015, 8841, 343, 2875, 2218, 282, 3396, 1773, 16, 1286, 368, 872, 282, 865, 843, 4414, 596, 785, 286, 843, 596, 4112, 597, 1773, 1269, 16867, 4112, 4619, 254, 6242, 274, 254, 1683, 14, 1354, 248, 997, 387, 254, 1527, 3379, 16, 188, 1853, 7855, 37538, 255, 286, 7855, 47854, 12101, 14, 633, 7855, 37538, 255, 286, 47854, 44953, 14, 12343, 286, 8478, 3095, 403, 248, 2115, 274, 254, 2391, 16, 4186, 45118, 282, 21117, 867, 597, 597, 19201, 14, 380, 17449, 1795, 2677, 476, 1920, 633, 2342, 390, 2485, 7855, 25030, 47066, 286, 2508, 16, 188, 7639, 3751, 327, 12309, 685, 37225, 1503, 321, 2961, 282, 2508, 254, 1802, 324, 3379, 6916, 16, 37538, 255, 685, 37225, 328, 248, 3835, 3596, 476, 669, 14158, 3536, 1500, 40980, 975, 3133, 276, 254, 2764, 16, 188, 41811, 17484, 3979, 367, 28959, 16, 839, 1663, 561, 343, 248, 374, 15, 1318, 2214, 286, 248, 495, 14, 18, 18, 18, 44871, 8444, 9723, 282, 4319, 561, 41077, 8346, 328, 5667, 1626, 958, 286, 9640, 6362, 958, 16, 839, 8869, 5228, 512, 40679, 14, 41077, 14, 17312, 14, 1773, 14, 286, 6181, 432, 512, 9300, 274, 5667, 1626, 958, 14, 40679, 29589, 14, 32667, 1626, 3537, 14, 286, 9640, 6362, 958, 16, 188, 38, 7222, 2633, 1078, 9241, 28, 3699, 42625, 403, 2674, 512, 13889, 274, 1525, 772, 7885, 14, 5100, 721, 14, 286, 44087, 721, 16, 2028, 248, 13214, 1042, 7012, 14, 665, 37983, 807, 1394, 282, 5300, 1773, 4577, 286, 3831, 254, 3834, 2435, 324, 12742, 2363, 16, 7693, 333, 248, 13214, 17680, 14, 248, 7667, 1011, 3619, 42209, 587, 19335, 254, 2443, 15286, 286, 8769, 1392, 254, 3979, 16, 0, 9606, 27270, 25749, 14, 4447, 507, 25749, 14, 16622, 494, 4447, 507, 25749, 328, 24638, 34825, 14, 5547, 5881, 28367, 13245, 17, 4581, 3503, 17, 11431, 432, 4002, 16, 188, 13076, 8815, 274, 4447, 507, 25749, 14, 360, 403, 17538, 16140, 432, 4002, 14, 27270, 25749, 14, 4447, 507, 25749, 27294, 17, 20285, 14, 33914, 1017, 15, 14755, 3462, 274, 16622, 494, 4447, 507, 25749, 416, 706, 399, 286, 9995, 14, 360, 452, 254, 3834, 841, 15, 42422, 2497, 286, 7478, 1305, 16, 9609, 3461, 282, 633, 15410, 3, 188, 4792, 368, 476, 1074, 254, 2815, 3462, 276, 4447, 507, 25749, 14, 360, 403, 5537, 11346, 274, 27270, 6237, 14, 20109, 507, 25749, 14, 19240, 494, 4447, 507, 25749, 16, 839, 6919, 328, 5060, 13107, 1830, 2363, 14, 3170, 286, 6053, 16, 839, 452, 5360, 3184, 1423, 4719, 274, 4447, 507, 25749, 282, 5256, 1004, 13107, 11835, 1830, 16, 188, 1982, 368, 961, 282, 865, 624, 668, 254, 3462, 276, 4447, 507, 25749, 14, 4356, 5370, 254, 1830, 4139, 282, 1806, 3482, 14, 3106, 14, 7758, 14, 7702, 286, 642, 1460, 668, 27270, 25749, 14, 20109, 507, 25749, 14, 19240, 494, 4447, 507, 25749, 16, 188, 24866, 368, 403, 248, 1361, 390, 1999, 14, 360, 587, 513, 772, 1640, 282, 2023, 368, 343, 7692, 286, 10800, 3808, 668, 4447, 507, 25749, 3, 0, 5747, 20, 38515, 324, 1795, 9329, 22507, 7911, 9035, 6220, 20, 12514, 4516, 276, 16004, 1207, 1147, 1743, 2104, 33, 188, 11060, 59, 9035, 411, 16015, 338, 20, 19, 276, 13941, 45293, 33, 188, 6860, 13662, 38515, 9035, 444, 17067, 374, 20, 19, 25, 85, 403, 1143, 276, 4002, 33, 188, 11060, 59, 9035, 1676, 28, 411, 16015, 338, 20, 19, 276, 13941, 45293, 33, 0, 2345, 15, 45043, 6480, 13798, 2813, 10000, 39271, 369, 417, 254, 769, 82, 1118, 293, 6131, 666, 274, 480, 6184, 10984, 2315, 1444, 254, 1499, 286, 18815, 274, 748, 345, 1869, 615, 769, 250, 3019, 293, 565, 7324, 2474, 282, 272, 1735, 274, 6987, 17074, 432, 520, 10233, 483, 276, 12757, 16, 188, 510, 16696, 834, 30081, 1186, 11839, 14, 248, 26945, 14199, 2479, 8906, 387, 254, 1924, 20263, 11112, 387, 4117, 10856, 14, 9024, 328, 695, 4282, 328, 7998, 338, 25, 372, 38126, 6987, 2584, 276, 254, 24835, 328, 10000, 39271, 457, 85, 2342, 276, 32829, 22657, 276, 533, 345, 369, 5182, 407, 1924, 5457, 248, 802, 3502, 16, 188, 510, 8906, 29622, 10000, 39271, 457, 85, 1390, 348, 27506, 28614, 250, 16, 188, 1304, 5260, 282, 452, 1612, 2657, 324, 740, 7326, 356, 15, 35, 24157, 11617, 14, 272, 2371, 14821, 9878, 274, 968, 20405, 248, 1162, 274, 12003, 356, 15, 45043, 7890, 432, 26475, 286, 663, 369, 5182, 276, 248, 1924, 27174, 9709, 1364, 802, 16, 188, 510, 338, 25, 6987, 403, 6864, 4725, 390, 7285, 4725, 1875, 11503, 338, 25, 23, 7032, 276, 254, 3132, 25612, 14, 13227, 432, 4257, 374, 18, 18, 24, 282, 4028, 374, 18, 19, 19, 14, 286, 596, 513, 417, 512, 1350, 663, 4025, 390, 2865, 729, 16, 188, 2921, 9015, 6166, 452, 749, 356, 15, 45043, 276, 254, 47213, 32266, 14, 533, 16728, 432, 26475, 14, 555, 12724, 348, 254, 944, 8093, 25686, 16, 188, 1931, 2474, 282, 254, 4117, 10856, 1240, 14, 10000, 39271, 2900, 11923, 1125, 274, 356, 39537, 457, 85, 26382, 2315, 14, 1648, 254, 4254, 20842, 407, 254, 4117, 14, 343, 47462, 16, 188, 510, 4725, 913, 327, 10000, 39271, 11605, 668, 330, 51, 2026, 14, 254, 26475, 75, 25686, 14, 286, 17821, 695, 9298, 282, 2683, 5861, 328, 19763, 254, 1924, 2499, 683, 254, 26475, 75, 2142, 390, 3860, 5457, 14, 254, 1280, 749, 16, 188, 1130, 749, 254, 37048, 456, 2080, 2607, 327, 254, 5077, 274, 1495, 25686, 14, 1201, 39537, 276, 9011, 369, 274, 1748, 4328, 282, 10000, 39271, 14, 3233, 695, 9550, 274, 30501, 457, 613, 22603, 1527, 254, 1924, 11183, 274, 9011, 16, 188, 3912, 274, 356, 15, 45043, 457, 85, 1964, 4243, 15, 12626, 11122, 12815, 14, 2371, 15, 6276, 12828, 33996, 17750, 14, 1002, 4972, 327, 254, 1964, 356, 39537, 1361, 933, 556, 10486, 366, 3038, 432, 356, 15, 45043, 276, 9011, 16, 188, 3294, 580, 1110, 33996, 17750, 2352, 254, 4566, 274, 254, 24115, 1361, 282 ]
[ 1, 18259, 14, 23616, 286, 38552, 309, 3192, 14, 7464, 18269, 29, 348, 963, 348, 7223, 14936, 705, 14, 29057, 8591, 286, 36393, 16, 750, 369, 28860, 276, 2393, 407, 520, 4507, 23616, 286, 18285, 466, 323, 698, 86, 1757, 286, 18360, 31332, 460, 15911, 286, 6714, 20571, 306, 1747, 16, 330, 20969, 274, 520, 1464, 369, 2828, 3793, 495, 387, 254, 41818, 286, 33355, 3143, 20292, 8832, 14, 21201, 252, 343, 20219, 264, 1732, 4874, 8341, 262, 274, 1427, 7607, 6240, 1979, 15114, 16, 5225, 420, 3444, 276, 5626, 21201, 252, 35445, 16, 1091, 37, 26859, 20289, 19972, 28882, 16, 188, 5484, 1661, 41227, 1091, 47, 6281, 16, 378, 3215, 52, 314, 16775, 48, 8816, 11, 354, 1347, 2282, 14, 719, 24, 14, 4811, 440, 23068, 315, 387, 616, 1683, 21201, 252, 27618, 19, 6741, 8820, 14, 4029, 374, 19, 14, 338, 27, 23, 25, 16, 1469, 311, 15694, 407, 5769, 14, 7432, 84, 29, 576, 18808, 14, 6645, 16, 5707, 951, 35816, 14, 21201, 252, 27618, 20, 14, 6645, 16, 32375, 41758, 14, 6645, 16, 6727, 16551, 286, 6645, 16, 37433, 80, 46471, 274, 21201, 252, 14, 27618, 19, 286, 495, 14774, 14, 7813, 6307, 274, 4064, 288, 18269, 14, 331, 1261, 283, 274, 40033, 891, 14, 286, 11327, 274, 21201, 252, 14, 27618, 19, 14, 374, 19, 37163, 14, 338, 19, 1247, 15, 25949, 13487, 14, 374, 18360, 14, 6645, 16, 7211, 30905, 455, 274, 31509, 14, 6645, 16, 43965, 766, 35816, 274, 4064, 288, 18269, 29, 576, 12830, 7200, 323, 739, 3246, 274, 13686, 14, 10452, 323, 739, 3246, 274, 13990, 17153, 14, 10569, 274, 21659, 5998, 25581, 286, 6727, 274, 3479, 79, 8211, 16, 330, 15411, 2497, 369, 2828, 387, 254, 1963, 1683, 8109, 387, 338, 28, 18, 18, 324, 254, 8758, 1963, 16, 380, 2069, 369, 835, 2584, 282, 254, 41818, 15513, 1524, 8832, 14, 21201, 252, 14, 324, 1949, 3134, 387, 374, 28, 18, 18, 16, 380, 3439, 16, 28867, 37941, 274, 254, 5626, 21201, 252, 41616, 6240, 14, 1979, 4079, 286, 32440, 369, 276, 5626, 21201, 252, 35445, 16, 1091, 37, 26859, 20289, 19972, 28882, 16, 188, 3760, 2206, 1675, 323, 16, 7634, 30098, 14, 719, 20, 14, 274, 378, 16544, 1275, 14, 427, 16, 59, 896, 4811, 6741, 3998, 14, 4452, 338, 21, 14, 338, 27, 24, 23, 14, 387, 254, 378, 16544, 1275, 3124, 8667, 16, 750, 369, 6904, 387, 254, 35158, 455, 16226, 15663, 276, 21201, 252, 276, 338, 27, 22, 23, 16, 750, 555, 643, 2367, 3970, 387, 254, 3605, 2123, 17520, 1917, 276, 378, 16544, 1275, 16, 750, 369, 248, 3442, 274, 254, 5626, 39810, 14, 418, 16, 310, 896, 21764, 281, 34119, 16, 2234, 16, 1572, 1486, 311, 15694, 407, 520, 4335, 14, 9247, 262, 5258, 1572, 1486, 14, 248, 7716, 274, 21201, 252, 29, 580, 3240, 14, 5330, 274, 38007, 14, 427, 16, 59, 9680, 248, 5952, 14, 6645, 16, 5018, 310, 1595, 274, 7694, 3124, 29, 520, 3002, 14, 6645, 16, 500, 16, 7005, 1572, 1486, 274, 5626, 39810, 14, 418, 16, 310, 9680, 1241, 12830, 14, 40922, 444, 16, 274, 418, 766, 10465, 14, 2004, 81, 896, 500, 16, 13280, 274, 5626, 39810, 14, 418, 16, 310, 16, 1223, 5330, 274, 6640, 5998, 29, 763, 18360, 14, 6645, 16, 41260, 418, 1704, 5418, 286, 6645, 16, 12472, 610, 1259, 274, 3921, 1171, 5998, 14, 427, 16, 59, 896, 286, 1694, 37163, 16, 20238, 20292, 3134, 497, 2828, 387, 254, 41818, 15513, 1524, 8832, 276, 21201, 252, 7738, 8820, 387, 338, 28, 21, 18, 14, 343, 254, 3439, 16, 6727, 331, 1896, 566, 1318, 1979, 15114, 16, 5225, 420, 369, 276, 5626, 21201, 252, 35445, 16, 1091, 37, 26859, 20289, 19972, 28882, 16, 188, 31651, 53, 1091, 42, 1254, 4722, 1967, 54, 418, 16, 354, 1347, 2282, 14, 813, 27, 14, 274, 338, 18, 323, 16, 3566, 569, 44532, 18408, 16, 314, 11455, 7658, 361, 47977, 581, 21201, 252, 14, 4811, 387, 8109, 14, 4109, 719, 14, 338, 27, 26, 20, 14, 387, 616, 12558, 16, 6645, 16, 41818, 369, 5522, 3623, 16, 848, 14, 338, 27, 18, 20, 276, 12394, 25581, 14, 35495, 3801, 14, 248, 5952, 274, 6710, 444, 16, 286, 310, 1442, 2470, 323, 455, 2866, 3635, 85, 16, 1469, 369, 248, 3442, 274, 254, 40033, 891, 6240, 274, 2740, 324, 719, 23, 1090, 16, 1469, 311, 15694, 407, 248, 3240, 286, 5952, 15, 250, 15, 6751, 14, 18619, 286, 2666, 376, 41818, 274, 17296, 27128, 14, 27678, 9680, 37163, 14, 4966, 286, 24793, 41818, 274, 21201, 252, 14, 34971, 286, 331, 37109, 41818, 274, 2357, 13336, 278, 457, 2345, 1704, 14, 26803, 14, 27712, 286, 10371, 609, 41818, 274, 21201, 252, 14, 1694, 1247, 15, 25949, 29682, 1312, 14, 580, 1247, 15, 25949, 1625, 14, 1694, 18360, 14, 6645, 16, 6221, 23674, 274, 38460, 67, 12782, 14, 27678, 896, 6645, 16, 26789, 26754, 286, 6645, 16, 24793, 399, 5090, 91, 14, 1081, 274, 15701, 14, 27678, 16, 286, 6645, 16, 25110, 1158, 1720, 274, 3479, 79, 8211, 14, 427, 16, 59, 896, 7385, 15, 250, 15, 6751, 14, 6645, 16, 7410, 283, 314, 3474, 583, 11, 35993, 7143, 274, 21201, 252, 16, 5066, 20900, 403, 2006, 14936, 705, 14, 29057, 8591, 286, 36393, 16, 380, 20292, 2497, 587, 321, 2828, 6741, 387, 338, 269, 16, 79, 16, 387, 254, 41818, 286, 33355, 3143, 15513, 1524, 8832, 14, 21201, 252, 14, 343, 254, 3439, 16, 500, 24616, 6041, 14, 29566, 274, 254, 18194, 1928, 41616, 6240, 286, 254, 3439, 16, 30016, 500, 16, 4270, 9206, 14, 29566, 274, 254, 21201, 252, 23481, 29024, 474, 36569, 14, 1979, 15114, 16, 5225, 420, 587, 321, 276, 254, 444, 16, 21201, 252, 35445, 16, 1091, 37, 26859, 20289, 19972, 28882, 16, 188, 37, 26859, 1091, 6645, 16, 309, 16, 14472, 35816, 14, 719, 25, 14, 274, 813, 27, 3605, 5044, 5555, 14, 4811, 7738, 14, 3877, 16, 374, 22, 14, 338, 27, 26, 23, 14, 276, 254, 17511, 15487, 3816, 274, 24016, 7252, 20104, 8667, 16, 27808, 1045, 2470, 374, 23, 14, 338, 27, 19, 26, 14, 701, 369, 248, 5952, 274, 6710, 286, 354, 1461, 35447, 7141 ]
[ 1, 16, 10599, 11934, 28, 2748, 8070, 17136, 16, 679, 16, 380, 42261, 16603, 30835, 2532, 8107, 500, 1020, 1395, 19692, 10264, 10551, 24688, 4318, 1783, 1180, 443, 73, 41782, 374, 16, 14608, 2532, 2067, 30835, 85, 41295, 16603, 1223, 11910, 2640, 443, 73, 2532, 8107, 7456, 264, 813, 16, 380, 42261, 16603, 1939, 15273, 6901, 85, 1180, 8832, 24267, 443, 73, 2532, 8107, 6064, 47800, 576, 16, 443, 16603, 8829, 2532, 8107, 1180, 443, 73, 6064, 47800, 848, 16, 1939, 15273, 6901, 85, 16603, 30835, 2532, 8107, 399, 5181, 1879, 1180, 443, 73, 8979, 338, 21, 16, 24351, 5039, 386, 9767, 30120, 34939, 2532, 2067, 6443, 411, 27270, 11442, 42261, 16603, 29606, 443, 73, 2532, 8107, 7456, 264, 338, 22, 16, 42261, 21190, 1791, 8067, 1270, 1238, 7000, 495, 26745, 337, 5101, 1487, 27613, 12268, 2532, 2067, 6443, 2640, 27785, 443, 73, 16603, 2532, 8107, 28059, 608, 338, 24, 16, 42261, 16603, 2532, 8107, 11959, 349, 320, 30835, 1879, 41295, 496, 443, 73, 28059, 608, 495, 16, 42261, 16603, 1939, 15273, 6901, 85, 495, 26745, 337, 22495, 2532, 2067, 6443, 2640, 7042, 29606, 443, 73, 2532, 8107, 41782, 607, 16, 1270, 1238, 7000, 34939, 2532, 2067, 6443, 411, 27270, 11442, 42261, 16603, 1180, 443, 73, 2532, 8107, 28059, 608, 338, 25, 16, 0, 686, 248, 28081, 6932, 14, 248, 338, 18, 15, 7586, 15, 741, 3122, 369, 13778, 20085, 597, 286, 18745, 387, 248, 1396, 1906, 276, 8003, 75, 30951, 457, 85, 15418, 1622, 9183, 407, 248, 45807, 4441, 14, 663, 2049, 343, 254, 1362, 1521, 8906, 7109, 555, 643, 9572, 14, 3398, 749, 2966, 16, 188, 32511, 7506, 34738, 274, 254, 2563, 841, 248, 3379, 274, 254, 6932, 2350, 9645, 14, 12476, 30090, 47615, 457, 85, 9901, 286, 8126, 9494, 8089, 367, 1147, 22073, 16824, 614, 749, 596, 452, 4285, 328, 40900, 12343, 274, 38259, 19392, 387, 819, 22497, 16, 188, 8366, 276, 436, 3379, 807, 321, 24910, 324, 20360, 16, 188, 5459, 9388, 14, 15418, 1622, 9183, 9397, 10780, 9572, 330, 3550, 3126, 1469, 19726, 286, 254, 1362, 1521, 8906, 457, 85, 7109, 13189, 91, 22139, 16767, 313, 314, 21, 22, 481, 1678, 14, 16767, 313, 369, 1938, 4299, 328, 2056, 554, 19025, 1205, 1469, 19726, 555, 643, 26099, 276, 3398, 13186, 16, 188, 2300, 7738, 14, 670, 596, 2350, 282, 1354, 616, 14, 596, 1102, 248, 10502, 328, 615, 5952, 457, 85, 22264, 16, 188, 52, 966, 5576, 2464, 1396, 1906, 7109, 16767, 313, 668, 353, 14, 532, 701, 852, 417, 751, 248, 1432, 2306, 432, 254, 1362, 1521, 8906, 16, 2028, 254, 6676, 457, 85, 4507, 13407, 248, 7151, 14, 345, 12920, 353, 282, 321, 248, 1068, 274, 1401, 7051, 16, 188, 5459, 9388, 14, 254, 1401, 457, 85, 4507, 2350, 282, 15418, 1622, 9183, 9397, 14228, 286, 43852, 248, 5666, 16, 188, 510, 3398, 286, 254, 1401, 457, 85, 4507, 497, 19380, 670, 596, 1938, 2950, 254, 38259, 56, 19934, 274, 1396, 1906, 533, 2607, 1469, 19726, 17506, 286, 1468, 5276, 2086, 663, 497, 1628, 407, 615, 4507, 387, 254, 1362, 1521, 8906, 16, 188, 510, 38259, 56, 19934, 669, 2607, 1469, 19726, 17506, 416, 966, 5576, 457, 85, 5952, 1205, 688, 642, 14905, 497, 13952, 14, 3398, 749, 16, 496, 254, 3379, 14, 1469, 19726, 311, 2254, 15673, 14, 15508, 286, 28028, 254, 1401, 16, 188, 23426, 9595, 272, 33039, 1385, 1469, 19726, 286, 16767, 313, 758, 2511, 495, 20, 23, 314, 8399, 2022, 3328, 8256, 19956, 527, 8290, 11, 274, 310, 4926, 286, 2511, 374, 21, 274, 18568, 17530, 8074, 314, 17280, 286, 17011, 274, 12405, 11, 3059, 15, 20, 18, 18, 18, 14, 3398, 3449, 749, 16, 188, 10023, 2067, 367, 1147, 22073, 16824, 614, 23020, 254, 6932, 348, 28081, 16, 769, 1212, 452, 4285, 282, 1041, 353, 40900, 282, 3227, 38259, 19392, 387, 1115, 6452, 14, 282, 3570, 15526, 274, 819, 17534, 1756, 701, 749, 16, 0, 2921, 16893, 9902, 2950, 16001, 15545, 328, 6612, 343, 254, 22804, 8083, 597, 470, 16, 22, 27, 7, 387, 374, 22, 14, 21, 20, 27, 286, 254, 323, 8, 50, 607, 18, 18, 597, 470, 16, 23, 23, 7, 387, 374, 14, 24, 23, 19, 14, 1205, 254, 29583, 1442, 83, 4438, 470, 16, 22, 7, 2103, 387, 719, 14, 26, 22, 18, 16, 380, 1924, 1303, 15, 72, 1481, 35212, 85, 7180, 1280, 2144, 276, 9779, 683, 3159, 286, 5464, 5294, 931, 324, 4452, 2607, 4740, 3017, 286, 44162, 11334, 18925, 16, 27447, 780, 4995, 7702, 3542, 3112, 1205, 254, 44825, 12834, 33334, 282, 2722, 811, 2622, 890, 22, 16, 188, 510, 3449, 7180, 1280, 324, 4452, 2950, 1303, 15, 72, 1481, 35212, 85, 2490, 407, 374, 20, 26, 14, 18, 18, 18, 533, 369, 2917, 1788, 254, 16455, 324, 248, 374, 18, 18, 14, 18, 18, 18, 2490, 16, 1691, 369, 669, 1500, 311, 327, 254, 3278, 31875, 19775, 276, 4452, 2477, 374, 16, 23, 7, 328, 248, 802, 3502, 6958, 248, 20535, 315, 16782, 374, 16, 21, 7, 2490, 276, 4297, 16, 188, 510, 2269, 8548, 32685, 726, 841, 248, 374, 7, 8265, 276, 18390, 4032, 7702, 16, 33529, 4438, 387, 370, 24, 21, 16, 22, 18, 1205, 11697, 43, 6522, 387, 370, 23, 25, 16, 21, 24, 16, 4002, 457, 85, 18390, 4032, 26300, 13898, 282, 890, 16, 18, 19, 2945, 32320, 590, 1362, 533, 311, 254, 1250, 4442, 931, 3270, 328, 1868, 16, 41816, 9575, 4681, 587, 915, 4002, 1354, 687, 254, 1928, 2016, 348, 254, 1499, 457, 85, 5793, 18390, 1571, 5361, 436, 802, 16, 11697, 43, 9129, 31200, 432, 248, 5806, 3280, 11625, 2413, 4182, 436, 802, 14, 286, 7702, 452, 417, 3156, 888, 16, 380, 1689, 2232, 324, 11697, 43, 311, 370, 24, 19, 16, 188, 510, 6697, 274, 473, 40014, 457, 85, 6015, 12775, 587, 1382, 939, 282, 254, 980, 274, 374, 18, 19, 26, 286, 436, 587, 1920, 254, 2703, 6681, 16, 44513, 1924, 18390, 3340, 311, 10718, 314, 20, 23, 14, 18, 18, 18, 271, 19298, 282, 890, 16, 25, 2945, 271, 19298, 1364, 2065, 581, 436, 774, 417, 321, 2151, 282, 7325, 254, 4681, 7825, 16, 380, 1924, 1012, 11029, 4679, 348, 1181, 4032, 348 ]
[ 1, 16, 92, 647, 44777, 426, 4176, 21, 90, 21, 61, 19, 14, 470, 63, 475, 1827, 16, 90, 558, 4176, 21, 90, 21, 61, 19, 14, 338, 63, 475, 1827, 16, 91, 558, 4176, 21, 90, 21, 61, 19, 14, 374, 63, 475, 1827, 16, 92, 647, 362, 92, 426, 4176, 21, 90, 21, 61, 20, 14, 470, 63, 475, 1827, 16, 90, 558, 4176, 21, 90, 21, 61, 20, 14, 338, 63, 475, 1827, 16, 91, 558, 4176, 21, 90, 21, 61, 20, 14, 374, 63, 475, 1827, 16, 92, 2621, 1076, 16160, 16106, 14796, 21, 38, 10, 41837, 14, 44777, 14, 362, 92, 11, 1465, 804, 348, 65, 3538, 21, 6877, 10, 1262, 2192, 2621, 1076, 16160, 16106, 8455, 21, 15149, 10, 1262, 16, 90, 14, 1827, 16, 91, 14, 1827, 16, 92, 14, 8037, 11, 534, 188, 2360, 16160, 16106, 7357, 21, 15149, 10, 5912, 2192, 477, 1800, 16160, 16106, 7357, 21, 15149, 311, 248, 1581, 274, 16160, 16106, 8455, 21, 15149, 4960, 1465, 804, 4623, 4338, 21257, 1262, 14, 269, 1601, 65, 21, 6877, 31, 11033, 2192, 2621, 603, 269, 1601, 65, 21, 6877, 311, 8037, 28, 926, 269, 1601, 65, 21, 6877, 426, 7954, 647, 1827, 3226, 43471, 426, 543, 431, 65, 21, 6877, 16, 26850, 1067, 324, 29939, 65, 21, 6877, 276, 269, 1601, 65, 21, 6877, 63, 1465, 1196, 8897, 477, 804, 269, 1601, 10, 1262, 2192, 2621, 1076, 1827, 3226, 43471, 1465, 1196, 8897, 477, 804, 922, 65, 43471, 10, 1262, 2192, 2621, 1076, 8249, 10, 1262, 16, 43471, 11, 1465, 804, 18769, 10, 1262, 2192, 2621, 1076, 16160, 16106, 7357, 21, 15149, 10, 1262, 16, 43471, 11, 1465, 804, 818, 65, 431, 10, 1262, 14, 29939, 2192, 2621, 1827, 16, 43471, 16, 9436, 10, 431, 11, 1465, 804, 818, 65, 43471, 10, 1262, 14, 29939, 65, 3434, 2192, 2621, 1827, 3226, 43471, 6892, 29939, 65, 3434, 1465, 804, 5228, 65, 1884, 1715, 880, 65, 12222, 422, 65, 10518, 10, 1262, 2192, 2621, 743, 65, 1259, 426, 16160, 16106, 7357, 21, 15149, 10, 1262, 16, 43471, 17775, 338, 3185, 647, 324, 296, 9410, 276, 2413, 10, 19, 14, 1827, 16, 6198, 65, 43471, 2192, 926, 603, 417, 1827, 16, 43471, 61, 2046, 90, 1534, 1021, 256, 65, 1884, 1715, 880, 65, 3014, 10, 1775, 65, 1259, 16, 43471, 16155, 19, 44444, 1003, 743, 65, 1259, 426, 743, 65, 1259, 16, 1855, 65, 3538, 10, 1262, 16, 43471, 61, 2046, 90, 3185, 647, 1076, 743, 65, 1259, 1465, 804, 6429, 10, 1262, 14, 1495, 2192, 647, 11916, 647, 7960, 958, 2292, 763, 3005, 286, 6374, 254, 6429, 348, 248, 743, 1360, 1269, 1110, 2462, 14, 12938, 343, 1841, 20833, 2704, 12938, 286, 10963, 18851, 31186, 869, 254, 763, 3132, 3005, 647, 11916, 2621, 1076, 16160, 16106, 7357, 21, 15149, 10, 1262, 16, 43471, 558, 1495, 16, 43471, 11, 1465, 1196, 8897, 477, 804, 2884, 65, 21, 70, 10, 1262, 2192, 2621, 2884, 426, 470, 16, 18, 647, 324, 296, 9410, 276, 2413, 10, 1262, 16, 6198, 65, 43471, 428, 338, 2192, 926, 2884, 6892, 1827, 16, 43471, 61, 2046, 90, 1534, 1021, 256, 65, 19316, 10, 1262, 16, 43471, 61, 2046, 90, 558, 338, 3185, 647, 1076, 2884, 1465, 1196, 8897, 477, 804, 2884, 65, 20, 70, 10, 1262, 2192, 2621, 2884, 426, 470, 16, 18, 647, 324, 296, 9410, 276, 2413, 10, 1262, 16, 6198, 65, 43471, 428, 338, 2192, 926, 2884, 6892, 1827, 16, 43471, 61, 2046, 90, 1534, 19316, 65, 20, 70, 10, 1262, 16, 43471, 61, 2046, 90, 558, 338, 3185, 647, 1076, 2884, 1465, 804, 1164, 85, 10, 1262, 2192, 2621, 1076, 15313, 16, 3604, 8622, 431, 16, 82, 65, 92, 324, 29939, 276, 1827, 16, 43471, 3185, 1465, 804, 1164, 85, 65, 1410, 65, 11622, 10, 1262, 2192, 2621, 1076, 15313, 16, 3604, 8622, 431, 324, 29939, 276, 1827, 16, 43471, 603, 417, 3432, 267, 10, 431, 16, 82, 65, 92, 11, 3185, 1465, 1196, 8897, 477, 804, 1164, 65, 1204, 10, 1262, 2192, 2621, 1076, 15313, 16, 11622, 1204, 10, 1262, 16, 92, 85, 6472, 1465, 1196, 8897, 477, 804, 1164, 65, 3958, 10, 1262, 2192, 2621, 1076, 15313, 16, 11622, 3958, 10, 1262, 16, 92, 85, 6472, 1465, 1196, 8897, 477, 804, 1164, 65, 10440, 10, 1262, 2192, 2621, 1076, 15313, 16, 11622, 10440, 10, 1262, 16, 92, 85, 6472, 1465, 1196, 8897, 477, 804, 1164, 65, 1984, 10, 1262, 2192, 2621, 1076, 15313, 16, 11622, 1984, 10, 1262, 16, 92, 85, 6472, 1465, 1196, 8897, 477, 804, 1164, 65, 8179, 10, 1262, 2192, 2621, 1076, 15313, 16, 11622, 8179, 10, 1262, 16, 92, 85, 6472, 1465, 804, 31615, 65, 3857, 65, 21, 70, 10, 1262, 2192, 2621, 31615, 65, 3857, 65, 3434, 426, 7954, 647, 2884, 426, 470, 16, 18, 647, 31615, 65, 3857, 65, 3434, 16, 9436, 10, 3857, 11, 647, 324, 296, 9410, 276, 2413, 10, 1262, 16, 6198, 65, 43471, 428, 338, 2192, 926, 2884, 6892, 1827, 16, 43471, 61, 2046, 90, 1534, 1021, 256, 65, 19316, 10, 1262, 16, 43471, 61, 2046, 90, 558, 338, 3185, 926, 31615, 65, 3857, 65, 3434, 16, 9436, 10, 3857, 11, 2621, 1076, 31615, 65, 3857, 65, 3434, 1465, 804, 31615, 65, 3857, 65, 20, 70, 10, 1262, 2192, 2621, 31615, 65, 3857, 65, 3434, 426, 7954, 647, 2884, 426, 470, 16, 18, 647, 31615, 65, 3857, 65, 3434, 16, 9436, 10, 3857, 11, 647, 324, 296, 9410, 276, 2413, 10, 1262, 16, 6198, 65, 43471, 428, 338, 2192, 926, 2884, 6892, 1827, 16, 43471, 61, 2046, 90, 1534, 19316, 65, 20, 70, 10, 1262, 16, 43471, 61, 2046, 90, 558, 338, 3185, 926, 31615, 65, 3857, 65, 3434, 16, 9436, 10, 3857, 11, 2621, 1076, 31615, 65, 3857, 65, 3434, 1465, 804, 7893, 65, 20649, 10, 1262, 2192, 2621, 743, 65, 1259, 426, 1827, 16, 26850, 1067, 647, 743, 65, 1259, 16, 43471, 16, 31336, 1067, 210, 1800, 276, 15, 4919, 4116, 328, 743, 65, 1259, 2621, 1076, 743, 65, 1259, 1465, 804, 27680, 65, 3434, 10, 1262, 2192, 2621, 27680, 65, 3434, 426, 7954, 647, 324, 296, 9410, 276, 2413, 10, 1262, 16, 6198, 65 ]
[ 1, 4564, 248, 8901, 282, 254, 1032, 1595, 663, 587, 1938, 7325, 665, 9199, 8901, 3692, 14743, 2622, 729, 3, 0, 1244, 24377, 40999, 4517, 255, 15926, 311, 4024, 324, 2086, 11559, 374, 23375, 428, 338, 26, 16, 12405, 774, 9811, 324, 1125, 1090, 387, 248, 5081, 274, 1015, 2237, 286, 21699, 1707, 328, 2289, 286, 3621, 16, 3699, 7212, 44566, 1354, 15125, 276, 2367, 343, 772, 17137, 283, 15760, 282, 3054, 615, 1827, 15, 38402, 14, 1916, 2214, 15721, 286, 48170, 6750, 16, 4517, 255, 283, 15760, 403, 4153, 343, 2269, 14, 2869, 877, 286, 14032, 16, 3789, 24377, 40999, 4517, 255, 15926, 4279, 3609, 286, 3835, 3819, 11824, 282, 2941, 32042, 286, 11522, 899, 254, 9470, 286, 5445, 16, 1395, 457, 307, 1144, 2059, 343, 254, 1515, 14, 1012, 1663, 17137, 343, 254, 1640, 3, 0, 2515, 663, 311, 254, 3972, 2257, 4149, 255, 17899, 60, 47320, 3516, 2966, 348, 9878, 1401, 279, 10907, 17, 19368, 23490, 2341, 5675, 8462, 20490, 7682, 317, 4595, 33, 188, 510, 2586, 7358, 327, 769, 30376, 317, 4595, 666, 369, 13407, 407, 2006, 942, 8222, 282, 9709, 597, 248, 7621, 14, 532, 345, 769, 4668, 6801, 12714, 282, 11073, 729, 1397, 380, 2504, 434, 944, 3466, 4070, 636, 8282, 369, 14732, 1269, 3860, 16, 188, 35790, 719, 5207, 14, 254, 2586, 16275, 695, 769, 30376, 317, 4595, 666, 11535, 14, 533, 369, 9024, 2318, 436, 8820, 16, 23821, 47050, 706, 2357, 16, 452, 2486, 282, 17110, 2075, 615, 769, 30376, 317, 4595, 666, 2835, 14738, 16, 47050, 14, 719, 19, 14, 311, 34609, 387, 1628, 16, 188, 22934, 28, 17899, 60, 769, 14666, 1514, 666, 695, 6151, 32766, 2160, 16, 5403, 398, 641, 30975, 14, 274, 2211, 14, 324, 19474, 3972, 5435, 282, 257, 635, 302, 1401, 13627, 34462, 1068, 16, 5066, 295, 21273, 769, 30376, 317, 4595, 666, 7315, 284, 2770, 436, 671, 2701, 2056, 282, 5228, 35967, 778, 314, 4465, 311, 16741, 274, 695, 17949, 23606, 624, 683, 338, 18, 18, 2008, 481, 0, 57, 1481, 4257, 8820, 14, 811, 6636, 6400, 3238, 274, 17964, 16, 330, 2519, 28150, 19453, 862, 29041, 1923, 13743, 4759, 14, 21303, 687, 44937, 18612, 10427, 37523, 286, 35632, 862, 939, 391, 14750, 14, 20226, 44473, 314, 264, 403, 596, 4417, 14276, 274, 272, 545, 349, 9329, 39682, 16, 367, 8991, 786, 7197, 939, 254, 15666, 41854, 274, 7656, 14, 44937, 19512, 1381, 690, 266, 16, 330, 1361, 274, 14364, 3809, 248, 10985, 2654, 9884, 14, 1205, 248, 20853, 1923, 2986, 10132, 37089, 2006, 2042, 20973, 28603, 324, 248, 7122, 6092, 276, 248, 4647, 15, 288, 1153, 265, 16414, 15041, 248, 1603, 13003, 4525, 1919, 14, 2722, 282, 254, 20057, 17155, 16, 1223, 2486, 14, 3148, 3032, 1311, 14, 348, 2101, 254, 8262, 860, 44811, 274, 1493, 2257, 14, 13952, 8952, 286, 25841, 273, 18929, 17017, 3471, 276, 436, 13585, 34185, 16, 188, 1516, 369, 254, 6029, 670, 360, 13407, 25834, 1348, 2955, 29911, 4762, 1091, 4002, 457, 85, 650, 15, 1234, 7369, 15, 2641, 5048, 569, 35449, 14, 480, 2789, 265, 276, 338, 27, 27, 26, 841, 10387, 4682, 42320, 7465, 1922, 6166, 16, 14168, 1218, 248, 1162, 274, 7570, 328, 254, 1619, 14, 360, 3159, 254, 14364, 286, 615, 18929, 14, 532, 360, 4428, 457, 86, 452, 17181, 254, 9464, 780, 14, 3920, 81, 15, 498, 325, 14, 12024, 1922, 17395, 248, 7732, 271, 28742, 1091, 390, 1952, 16, 6236, 772, 33290, 33193, 4403, 360, 11981, 368, 25834, 1348, 286, 380, 7540, 15946, 2214, 11055, 695, 3056, 1091, 1002, 276, 254, 2377, 274, 5274, 286, 385, 24616, 319, 16, 2646, 248, 23795, 14, 16466, 5786, 343, 749, 7512, 314, 9736, 13328, 282, 1052, 3997, 432, 254, 7109, 14, 282, 254, 3398, 14, 282, 254, 425, 9450, 527, 769, 7382, 995, 666, 5569, 360, 4936, 597, 581, 248, 1603, 4150, 416, 8937, 1652, 441, 580, 4813, 328, 254, 18166, 16, 29684, 772, 448, 357, 10792, 670, 360, 6705, 248, 888, 12676, 387, 254, 980, 274, 772, 4741, 3, 188, 19499, 254, 3379, 282, 915, 748, 1952, 360, 1102, 286, 13700, 1051, 324, 772, 25834, 1348, 7315, 19147, 16, 188, 8915, 2101, 626, 369, 210, 777, 1593, 3103, 14, 436, 4313, 747, 353, 369, 3136, 248, 790, 15425, 3, 188, 43, 715, 3686, 276, 378, 44, 286, 715, 13513, 282, 915, 327, 1619, 16, 11166, 14, 310, 452, 1218, 327, 254, 1619, 311, 838, 1061, 35818, 16882, 16, 3063, 368, 865, 1826, 353, 311, 1311, 4269, 9787, 248, 4010, 33, 9615, 353, 4793, 1525, 248, 576, 15, 23, 2942, 671, 9863, 33, 0, 12254, 1570, 560, 20771, 5050, 289, 507, 294, 14, 3970, 573, 615, 6546, 288, 5423, 20228, 343, 248, 3046, 274, 1985, 17880, 16, 380, 9748, 3144, 432, 14794, 286, 16565, 7960, 323, 1343, 457, 85, 10828, 17049, 314, 6512, 1002, 555, 4325, 8333, 387, 1683, 481, 188, 1934, 16545, 436, 2288, 14, 360, 1143, 248, 4422, 274, 7092, 301, 3988, 13923, 13393, 936, 1746, 406, 1028, 276, 39513, 15858, 16, 188, 2778, 395, 1938, 282, 330, 15, 30141, 1723, 276, 1572, 487, 87, 5804, 286, 248, 14584, 15, 483, 289, 507, 294, 1642, 15, 484, 8745, 5742, 3027, 3, 0, 3116, 1963, 14131, 254, 9423, 274, 25362, 45532, 16, 2666, 5769, 369, 248, 45073, 4612, 276, 520, 8998, 1842, 286, 618, 28348, 3240, 311, 248, 3960, 45073, 4612, 2966, 16, 188, 1212, 4149, 2734, 286, 2019, 324, 618, 3240, 282, 1115, 276, 35990, 16, 2666, 769, 79, 1808, 457, 85, 2710, 666, 1144, 398, 775, 328, 286, 772, 14643, 6982, 3684, 348, 254, 13639, 328, 254, 1874, 1360, 2413, 432, 9307, 17826, 282, 26590, 276, 248, 2563, 274, 7061, 16, 188, 45379, 274, 254, 4717, 14, 310, 17137, 775, 328, 282, 254, 1062, 980, 16, 188, 1516, 2391, 8621, 520, 2214, 1856, 254, 801, 763, 3830, 16, 1547, 1652, 9756, 274, 254, 3894, 14, 1143, 615, 11676, 14, 19057, 1051, 254, 1631, 14, 286, 9745, 1347, 1661, 3, 2028, 615, 13394, 328, 4590, 852, 417, 563, 276, 14, 596, 3477, 286, 3477, 959, 16, 1547, 6139, 432, 254, 4254, 596, 9568, 16, 6236, 254, 2543, 2099, 596, 497, 6214, 14, 532, 596, 3285, 2517, 343, 615 ]
[ 1, 272, 38018, 15, 10887, 2890, 9271, 4969, 311, 12846, 25978, 14, 1205, 1093, 417, 2258, 343, 38018, 403, 10234, 348, 1303, 15, 455, 12253, 286, 2793, 274, 1125, 21240, 314, 29492, 293, 15, 4630, 291, 1145, 356, 16, 374, 18, 18, 20, 481, 188, 510, 40739, 274, 16530, 311, 7733, 407, 23287, 22310, 21406, 14, 1303, 15, 5989, 22310, 4233, 251, 11806, 14, 286, 6544, 10414, 314, 45, 16016, 1145, 356, 16, 374, 18, 19, 21, 481, 4425, 5567, 2257, 5289, 11956, 311, 8649, 407, 9875, 31641, 4144, 282, 23572, 15590, 297, 13973, 14, 22310, 29226, 14, 4233, 15551, 6288, 14, 286, 22310, 27016, 16, 18090, 349, 15590, 297, 13973, 311, 254, 898, 274, 46573, 5862, 6441, 21492, 276, 8758, 2306, 282, 272, 42519, 16852, 386, 390, 24281, 258, 314, 16297, 374, 18, 18, 25, 481, 3774, 956, 1024, 3316, 20450, 274, 22310, 21406, 311, 24034, 274, 16530, 14, 1125, 2153, 274, 16530, 774, 756, 452, 248, 7691, 20450, 276, 2257, 5289, 286, 276, 688, 2153, 641, 20450, 274, 21406, 16, 380, 4092, 22310, 21406, 774, 276, 628, 321, 1899, 282, 22310, 27016, 16, 31481, 568, 403, 1311, 29287, 282, 2033, 254, 3138, 40739, 274, 436, 29, 2228, 14, 29399, 274, 3017, 2533, 407, 254, 46573, 24128, 3032, 282, 321, 254, 2165, 276, 254, 15227, 10414, 14, 5862, 6441, 35996, 14, 15116, 3170, 14, 425, 10747, 1296, 14, 20503, 6212, 45116, 14, 286, 2477, 618, 38489, 15055, 505, 286, 37544, 2348, 314, 25165, 340, 1145, 356, 16, 374, 18, 18, 18, 481, 188, 686, 25978, 16530, 14, 5578, 274, 20346, 1317, 286, 309, 24720, 314, 1031, 20, 11, 1317, 407, 42519, 21559, 5480, 282, 3170, 286, 14671, 274, 1818, 34414, 14, 12361, 303, 18869, 266, 14, 286, 15568, 314, 16297, 374, 18, 18, 25, 481, 9763, 15568, 276, 436, 24455, 2408, 5120, 15, 22, 14, 5120, 15, 19, 21, 14, 286, 5120, 15, 23, 14, 254, 5987, 274, 533, 311, 254, 3505, 2542, 324, 254, 9566, 274, 25917, 47110, 16, 444, 15010, 47110, 13088, 286, 13368, 4373, 15227, 22310, 10414, 407, 19836, 12361, 303, 18869, 266, 14, 9848, 1617, 4185, 14, 286, 15079, 15, 24973, 16, 826, 311, 5032, 343, 1470, 42546, 1818, 35308, 4501, 25917, 27973, 24677, 713, 254, 26892, 286, 254, 22310, 286, 12030, 527, 10088, 3280, 274, 254, 22310, 31197, 314, 25165, 340, 1145, 356, 16, 374, 18, 18, 18, 481, 188, 686, 512, 41680, 274, 16530, 11817, 14, 10842, 14, 10021, 14, 390, 5300, 14, 626, 403, 5032, 1818, 10750, 9271, 2462, 16, 496, 1081, 254, 18998, 286, 16426, 2257, 1540, 14, 13544, 35438, 14, 563, 925, 86, 886, 40478, 14, 745, 45999, 19409, 14, 24677, 274, 9875, 31641, 14, 46573, 5862, 6441, 35996, 14, 286, 10878, 2462, 403, 512, 2458, 314, 21498, 302, 374, 18, 18, 21, 481, 9673, 836, 5032, 2462, 14, 254, 2211, 274, 16530, 311, 4629, 276, 695, 11817, 286, 9739, 687, 272, 1999, 457, 85, 1464, 286, 869, 4153, 16, 1180, 254, 4869, 274, 1338, 14, 16530, 9263, 2318, 276, 1464, 343, 2417, 2533, 324, 2363, 1648, 387, 6189, 2642, 14, 18359, 488, 71, 8314, 14, 286, 16612, 2803, 274, 16530, 314, 20, 481, 188, 17651, 16530, 23029, 403, 6752, 2533, 819, 348, 2257, 16942, 14, 15602, 10985, 14, 27188, 27052, 14, 23564, 24281, 560, 314, 47492, 279, 3149, 14, 279, 3388, 14, 28253, 14, 37862, 14, 286, 11377, 288, 3718, 11, 286, 17103, 24281, 560, 314, 12243, 14, 10307, 14, 286, 31780, 30240, 581, 5598, 14, 286, 10063, 314, 40957, 374, 18, 19, 20, 29, 18482, 1145, 356, 16, 374, 18, 19, 25, 11, 314, 3131, 374, 481, 6517, 268, 10063, 286, 41175, 24281, 560, 403, 763, 274, 254, 944, 1726, 6752, 2533, 4144, 282, 16530, 2363, 14, 24477, 14, 286, 6648, 16530, 11817, 314, 48, 10754, 5988, 374, 18, 18, 25, 481, 11166, 24281, 560, 286, 642, 6752, 2533, 403, 248, 2196, 9379, 324, 1125, 343, 16530, 14, 3316, 27771, 311, 2156, 7282, 14, 286, 5582, 27771, 16530, 2156, 4417, 3812, 16, 1180, 1093, 417, 18832, 282, 27771, 14, 1914, 311, 1707, 328, 19254, 4155, 286, 11817, 274, 2642, 16, 21941, 6444, 16472, 403, 42519, 2094, 15, 19986, 9579, 20, 15, 5001, 1322, 286, 1307, 469, 14722, 1302, 972, 16, 7845, 15, 3818, 1423, 16472, 403, 900, 282, 1519, 15227, 16530, 286, 2408, 42519, 1034, 15, 19986, 9579, 20, 15, 35165, 14, 1307, 469, 14722, 1302, 972, 14, 47799, 14, 261, 409, 312, 1337, 11593, 14, 286, 7736, 12361, 303, 363, 1704, 767, 13409, 286, 9497, 90, 14316, 1083, 16, 8995, 327, 1836, 282, 3669, 282, 5871, 4767, 4728, 1788, 774, 3669, 282, 1745, 9271, 5913, 7100, 328, 615, 26838, 8922, 274, 16530, 314, 7055, 43, 374, 18, 19, 25, 481, 1822, 1302, 258, 42298, 311, 669, 272, 4360, 670, 626, 311, 248, 2508, 5697, 869, 16530, 5749, 286, 47721, 286, 17, 264, 22239, 24281, 560, 314, 48, 10754, 5988, 374, 18, 18, 25, 481, 35572, 1483, 27635, 933, 321, 40508, 282, 276, 1316, 282, 6207, 17510, 23029, 16, 188, 9556, 16530, 14, 254, 1283, 26161, 35636, 7223, 21240, 16, 2514, 13099, 311, 6544, 23572, 5728, 14, 533, 311, 248, 5950, 274, 14564, 7733, 407, 248, 6544, 21930, 12597, 324, 495, 5255, 2524, 248, 802, 324, 387, 1824, 374, 12294, 1090, 314, 9059, 6043, 374, 18, 19, 20, 481, 4675, 11713, 340, 781, 311, 1495, 26625, 4645, 432, 254, 9665, 2863, 274, 356, 307, 10154, 314, 27240, 266, 372, 473, 6185, 1145, 356, 16, 374, 18, 19, 20, 481, 12077, 254, 356, 307, 10154, 254, 22310, 24254, 254, 757, 24898, 432, 254, 38357, 44275, 3202, 282, 1920, 254, 22310, 9219, 16, 380, 16530, 15, 26090, 38, 14382, 8992, 314, 1878, 2611, 11, 311, 248, 13099, 24658, 274, 1081, 3273, 39797, 314, 18102, 1318, 1145, 356, 16, 374, 18, 18, 25, 481, 380, 5950, 274, 11619, 2611, 311, 3273, 14, 286, 343, 944, 274, 254, 2165, 5749, 1129, 5926, 869, 6141, 26161, 286, 16530, 14, 353, 1949, 11023, 282, 254, 5527, 274, 13243, 2328, 436, 5950, 314, 25246, 19373, 1145, 356, 16, 338, 27, 27, 22, 29, 27848, 374, 18, 18, 20, 11, 314, 1439, 16, 338, 481, 188, 26090, 38, 311, 2696 ]
[ 1, 2312, 2621, 324, 2165, 14, 816, 276, 2712, 16, 2480, 15135, 10, 6608, 65, 1984, 65, 12573, 4862, 35436, 5868, 2192, 926, 603, 2165, 417, 276, 512, 65, 12573, 28, 1003, 6975, 330, 1998, 2466, 4608, 10, 2498, 347, 24474, 272, 12100, 22737, 4020, 24318, 85, 20652, 2498, 347, 282, 1308, 2706, 65, 1262, 65, 18542, 65, 10490, 65, 14912, 4, 2384, 2165, 1003, 2312, 926, 1922, 65, 1984, 65, 12573, 61, 2290, 63, 426, 816, 647, 1419, 1922, 65, 1984, 65, 12573, 4862, 35436, 5868, 647, 1800, 12306, 254, 2347, 4616, 684, 2825, 9, 311, 867, 647, 603, 1827, 16, 6505, 65, 8552, 16, 8552, 65, 2123, 65, 28552, 286, 11865, 2825, 9, 417, 276, 1922, 65, 1984, 65, 12573, 390, 210, 1800, 641, 30428, 28, 444, 23, 18, 19, 41369, 1922, 65, 1984, 65, 12573, 4862, 2825, 5868, 311, 8037, 2192, 210, 1800, 641, 30428, 28, 444, 23, 18, 19, 926, 6975, 330, 1998, 3776, 4608, 1551, 35446, 254, 2347, 4616, 2551, 2825, 66, 670, 6607, 2551, 6767, 65, 1262, 65, 18542, 65, 10490, 65, 14912, 66, 2719, 210, 1800, 641, 30428, 28, 444, 23, 18, 19, 2621, 4698, 65, 629, 1781, 426, 11836, 2621, 1802, 65, 12573, 426, 11836, 2621, 7123, 65, 12573, 426, 7954, 647, 603, 684, 35376, 65, 6149, 9, 276, 1922, 65, 1984, 65, 12573, 286, 1922, 65, 1984, 65, 12573, 4862, 35376, 65, 6149, 5868, 311, 417, 8037, 28, 210, 1800, 641, 30428, 28, 444, 23, 18, 19, 926, 7123, 65, 12573, 16, 9436, 10, 2012, 35376, 12610, 1358, 1922, 65, 1984, 65, 12573, 4862, 35376, 65, 6149, 46005, 210, 1800, 641, 30428, 28, 444, 23, 18, 19, 647, 603, 684, 3313, 65, 20040, 9, 276, 1922, 65, 1984, 65, 12573, 286, 1922, 65, 1984, 65, 12573, 4862, 3313, 65, 20040, 5868, 311, 417, 8037, 28, 210, 1800, 641, 30428, 28, 444, 23, 18, 19, 926, 7123, 65, 12573, 16, 9436, 10, 2012, 3313, 8006, 1358, 1922, 65, 1984, 65, 12573, 4862, 3313, 65, 20040, 46005, 210, 1800, 641, 30428, 28, 444, 23, 18, 19, 647, 603, 684, 36806, 9, 276, 1922, 65, 1984, 65, 12573, 286, 1922, 65, 1984, 65, 12573, 4862, 36806, 5868, 311, 417, 8037, 28, 210, 1800, 641, 30428, 28, 444, 23, 18, 19, 926, 7123, 65, 12573, 16, 9436, 10, 2012, 36806, 1358, 1922, 65, 1984, 65, 12573, 4862, 36806, 46005, 210, 1800, 641, 30428, 28, 444, 23, 18, 19, 2621, 10207, 65, 12573, 426, 11836, 2621, 825, 65, 12573, 426, 7954, 647, 1922, 65, 1984, 65, 10947, 426, 11836, 2621, 2069, 65, 12573, 426, 8037, 647, 603, 684, 2825, 9, 276, 1922, 65, 1984, 65, 12573, 28, 926, 2069, 65, 12573, 426, 1922, 65, 1984, 65, 12573, 4862, 2825, 5868, 647, 1800, 17106, 10207, 2551, 27992, 66, 647, 10207, 65, 12573, 4862, 27992, 5868, 426, 1827, 16, 6505, 65, 8552, 16, 6946, 65, 9879, 65, 14360, 10, 926, 14018, 12899, 17, 8233, 1358, 684, 12899, 17, 32298, 1358, 684, 12899, 17, 45138, 16, 43285, 16, 29186, 22673, 210, 1800, 641, 30428, 28, 444, 23, 18, 19, 2621, 1800, 5117, 22343, 4610, 647, 24088, 65, 17001, 426, 14018, 4534, 11952, 10906, 5868, 210, 1800, 641, 30428, 28, 444, 23, 18, 19, 2621, 1076, 1827, 16, 6505, 65, 8552, 16, 3934, 65, 6505, 10, 926, 17373, 28989, 17, 7382, 1296, 16, 77, 26, 85, 16, 892, 17, 88, 19, 2383, 19, 17, 1262, 18542, 10490, 14912, 85, 1358, 684, 15307, 1358, 926, 1802, 65, 12573, 14, 926, 7123, 65, 12573, 14, 926, 10207, 65, 12573, 14, 926, 2069, 31, 2825, 65, 12573, 14, 926, 1470, 65, 12573, 31, 629, 65, 12573, 14, 926, 4227, 31, 6608, 65, 1984, 65, 10947, 14, 926, 2306, 65, 875, 5313, 56, 19, 2383, 19, 22586, 18416, 11190, 18124, 1358, 210, 1800, 641, 30428, 28, 444, 23, 18, 19, 926, 24088, 65, 17001, 31, 14006, 65, 17001, 14, 926, 19997, 65, 11915, 31, 6608, 65, 1984, 65, 12573, 16, 784, 2012, 26291, 65, 11915, 11162, 926, 791, 2238, 65, 2337, 65, 2137, 65, 7286, 31, 6608, 65, 1984, 65, 12573, 16, 784, 2012, 65, 2238, 65, 2337, 65, 2137, 65, 7286, 11162, 210, 1800, 641, 30428, 28, 444, 23, 18, 19, 926, 791, 82, 39735, 65, 5901, 31, 6608, 65, 1984, 65, 12573, 16, 784, 2012, 65, 82, 39735, 65, 5901, 1358, 11475, 581, 926, 791, 9376, 65, 23138, 31, 6608, 65, 1984, 65, 12573, 16, 784, 2012, 65, 9376, 65, 23138, 11162, 926, 4698, 65, 629, 1781, 31, 24489, 65, 629, 1781, 11, 1465, 804, 2706, 65, 1262, 65, 18542, 65, 24716, 65, 14912, 10, 1262, 14, 2069, 14, 1375, 35436, 2192, 210, 1800, 641, 30428, 28, 444, 23, 18, 19, 647, 11916, 6767, 65, 1262, 65, 18542, 65, 24716, 65, 14912, 210, 1800, 641, 30428, 28, 444, 23, 18, 19, 2621, 2706, 248, 16077, 18416, 30825, 18124, 210, 1800, 641, 30428, 28, 444, 23, 18, 19, 647, 826, 1308, 2701, 248, 33003, 17106, 2662, 407, 4145, 16, 1860, 1041, 272, 647, 34244, 17106, 2662, 14, 4356, 1477, 19997, 65, 11915, 31, 4937, 647, 29708, 6121, 426, 22639, 16, 6767, 65, 1262, 65, 18542, 65, 24716, 65, 14912, 10, 2825, 14, 19997, 65, 11915, 31, 4937, 11, 647, 29708, 898, 426, 6121, 16, 784, 1067, 2621, 1146, 3457, 19997, 65, 11915, 7108, 28, 12835, 2662, 28273, 3955, 647, 1146, 3457, 655, 19, 2383, 19, 22586, 18416, 30825, 18124, 2069, 28, 314, 16866, 11, 647, 1146, 3457, 1195, 5909, 65, 6149, 28, 2028, 1225, 14, 6318, 327, 14188, 933, 417, 321, 31014, 16, 740, 11751, 390, 440, 34149, 5909, 12610, 25876, 587, 898, 276, 272, 2160, 2306, 286, 641, 1949, 5009, 274, 254, 2662, 16, 32688, 2127, 403, 28, 428, 1822, 28, 512, 5909, 1382, 8435, 587, 321, 11424, 647, 1146, 3457, 1195, 1631, 65, 20040, 28, 1631, 8006, 311, 248, 1390, 2258, 343, 254, 12017, 390, 10444, 327, 311, 2328, 836, 2462, 16, 380, 1294, 1339, 321, 1637, 683, 390, 338, 20, 26, 5645, 1034, 14, 286, 756, 3706, 3270, 494, 5645, 14, 348, 2840, 407, 5817, 1333, 40411, 16, 2000, 17, 19333, 17, 42302, 20590, 2433, 16670, 16, 647, 1146, 3457, 1195, 3837, 28, 1286 ]
[ 1, 9598, 22893, 362, 19, 16, 20, 16, 18, 1180, 254, 2951, 668, 3965, 45, 25584, 232, 10198, 14693, 25584, 232, 10967, 11039, 25584, 232, 9157, 3039, 25584, 232, 17716, 30999, 1151, 10699, 9598, 22893, 362, 19, 16, 20, 16, 18, 3817, 1333, 827, 656, 8913, 1194, 92, 16, 31402, 16, 679, 17, 20, 18, 19, 20, 17, 19, 18, 17, 35702, 15, 8913, 15, 16078, 15, 8018, 11039, 15, 11699, 3039, 65, 21, 23, 18, 18, 16, 2880, 43941, 1180, 826, 3965, 45, 25584, 232, 10198, 14693, 25584, 232, 10967, 11039, 25584, 232, 9157, 3039, 25584, 232, 17716, 30999, 1151, 10699, 9598, 22893, 362, 19, 16, 20, 16, 18, 1258, 85, 1860, 29770, 3826, 16, 0, 510, 1225, 3565, 6846, 282, 272, 8322, 18710, 2474, 282, 254, 28161, 628, 274, 12151, 338, 274, 254, 3790, 16, 188, 18328, 8322, 18710, 390, 18710, 311, 900, 7361, 5740, 276, 254, 2703, 16, 188, 1130, 3672, 248, 3292, 17005, 14, 1143, 274, 23229, 825, 14, 3673, 276, 254, 825, 274, 248, 13391, 16197, 14, 286, 16939, 867, 14, 324, 1610, 14, 960, 248, 39540, 4458, 14, 276, 254, 4992, 29410, 14, 286, 32945, 254, 2960, 4139, 4301, 276, 254, 13007, 274, 254, 4292, 6744, 16, 411, 1426, 254, 2960, 4139, 403, 18813, 7332, 282, 254, 7638, 274, 254, 17005, 16, 380, 29563, 628, 274, 254, 5473, 18710, 555, 248, 10088, 1450, 343, 17005, 2960, 4139, 16, 411, 1426, 254, 2960, 4139, 286, 17005, 2960, 4105, 403, 4652, 14, 324, 1610, 407, 30102, 273, 14, 282, 254, 7435, 274, 8322, 38183, 16, 5995, 254, 4992, 2069, 276, 254, 3514, 274, 254, 3565, 10487, 282, 254, 2069, 390, 29410, 274, 665, 5473, 390, 6864, 6402, 14, 819, 348, 6864, 12323, 2725, 390, 6864, 2725, 1423, 14, 7871, 2382, 4652, 343, 642, 8322, 390, 6864, 2725, 14, 1826, 254, 2520, 390, 254, 1575, 10354, 16, 1860, 3536, 254, 30967, 291, 13864, 274, 254, 10088, 1450, 432, 254, 4292, 6744, 390, 260, 3067, 792, 77, 748, 310, 10088, 1450, 14, 324, 1610, 14, 1899, 282, 6779, 14, 3082, 274, 17302, 254, 10088, 1450, 10088, 20027, 13843, 314, 72, 13973, 11, 311, 3673, 2449, 324, 3684, 2886, 254, 10088, 1450, 10088, 17348, 4898, 14, 324, 1610, 407, 39540, 4458, 274, 254, 35696, 276, 279, 456, 1580, 16, 2807, 13864, 254, 29563, 628, 432, 254, 4092, 628, 274, 254, 18710, 819, 3684, 2886, 38903, 14, 286, 626, 311, 248, 5274, 327, 254, 8322, 18710, 311, 4133, 6111, 286, 1002, 841, 520, 4824, 16, 188, 510, 3596, 3949, 276, 254, 3565, 8194, 254, 8322, 18710, 314, 42633, 581, 12151, 338, 14, 274, 254, 7021, 369, 1707, 328, 254, 4686, 274, 5983, 254, 2034, 274, 21090, 274, 254, 8322, 18710, 14, 533, 650, 321, 2875, 276, 5719, 282, 21407, 286, 18882, 273, 14, 286, 387, 254, 1057, 671, 650, 5256, 254, 13005, 274, 254, 20091, 4105, 274, 254, 8322, 18710, 16, 188, 39153, 6905, 274, 254, 3565, 2474, 282, 12151, 374, 274, 254, 7021, 555, 254, 5585, 327, 254, 29563, 628, 274, 254, 5473, 18710, 14, 10492, 248, 10088, 1450, 14, 3256, 14, 15353, 286, 35953, 10594, 276, 248, 3841, 7827, 274, 254, 10088, 14, 436, 2034, 17973, 10088, 1450, 10088, 14, 328, 254, 580, 1116, 14, 286, 276, 254, 2069, 274, 254, 10088, 14, 328, 254, 642, 1116, 14, 403, 25041, 343, 1004, 642, 593, 327, 328, 311, 37310, 5166, 40456, 494, 10088, 615, 3357, 286, 254, 6215, 274, 695, 10360, 1269, 23277, 254, 10088, 16, 188, 39153, 6905, 274, 254, 3565, 2474, 282, 12151, 495, 14, 254, 7021, 311, 7273, 324, 665, 8322, 35696, 14, 7733, 276, 28161, 628, 274, 12151, 338, 274, 254, 7021, 14, 532, 3233, 324, 8322, 35696, 1143, 276, 8726, 343, 32079, 338, 390, 374, 274, 254, 7021, 14, 974, 436, 4360, 3290, 248, 2875, 14, 9377, 286, 8342, 18710, 343, 2623, 8322, 35696, 324, 580, 6864, 2725, 16, 188, 39153, 6905, 274, 254, 3565, 2474, 282, 12151, 576, 14, 274, 254, 7021, 555, 254, 5585, 327, 254, 29563, 628, 274, 254, 1250, 18710, 14, 10088, 1450, 14, 3256, 14, 15353, 286, 35953, 13035, 713, 254, 16939, 628, 274, 254, 1250, 18710, 16, 188, 12847, 374, 428, 3893, 5473, 17005, 16, 188, 5513, 1044, 338, 8322, 18710, 1311, 7826, 276, 254, 29410, 274, 8322, 6402, 314, 250, 254, 4078, 1068, 28, 254, 2069, 274, 254, 4992, 481, 731, 311, 4301, 276, 254, 23229, 13007, 8934, 2960, 628, 495, 19, 14, 533, 311, 18813, 7332, 282, 254, 7638, 274, 254, 4292, 6744, 14, 1477, 939, 254, 4853, 19001, 286, 25442, 2418, 713, 254, 13007, 274, 254, 4292, 6744, 16, 1860, 254, 7435, 274, 254, 8934, 2960, 2429, 311, 616, 25442, 26992, 432, 254, 4853, 274, 254, 19001, 7093, 254, 4853, 1874, 14, 1202, 3353, 254, 7435, 274, 254, 38183, 374, 23, 14, 374, 24, 16, 188, 33800, 494, 10088, 1450, 374, 276, 695, 25027, 9873, 282, 254, 13007, 274, 254, 4292, 6744, 16, 1469, 555, 248, 5186, 2960, 628, 495, 20, 14, 533, 311, 18813, 7332, 282, 254, 7638, 274, 695, 23229, 5127, 14, 403, 10628, 276, 254, 1057, 17348, 3003, 14, 286, 8934, 254, 2960, 4139, 276, 254, 4292, 6744, 286, 343, 254, 9932, 274, 254, 10088, 1450, 713, 248, 3292, 17005, 403, 276, 4458, 343, 729, 16, 3805, 8934, 2960, 4139, 286, 17005, 2960, 4139, 403, 5770, 39155, 16211, 276, 254, 13007, 274, 254, 17005, 7332, 282, 254, 8934, 2960, 2429, 311, 254, 6915, 8934, 719, 286, 254, 10088, 1450, 555, 248, 6915, 7588, 813, 311, 1143, 276, 254, 3841, 17348, 1844, 16, 323, 5003, 2960, 4139, 274, 615, 1903, 7435, 14, 343, 888, 12676, 11081, 1116, 14, 403, 4652, 407, 30102, 273, 282, 254, 7435, 274, 8322, 38183, 374, 23, 14, 374, 24, 16, 40420, 38183, 374, 23, 14, 374, 24, 403, 10749, 276, 254, 2069, 274, 254, 10088, 407, 254, 13364, 274, 254, 10088, 1450, 16, 46867, 254, 1450, 628, 274, 695, 2884, 14, 533, 276, 254, 33842, 1580, 311, 12687, 687, 254, 4873, 274, 254, 4292, 6744, 14, 10594, 276, 33609, 291, 616, 2069, 13007, 274, 254, 10088, 16, 188, 1516, 4069, 3290, 248, 2675, 21407, 16, 2640, 436, 3964, 14, 254, 3608, 6051 ]
[ 1, 16, 11008, 32054, 2840, 8230, 348, 248, 2860, 869, 763, 1789, 14, 7664, 286, 254, 1789, 596, 855, 1392, 16, 2514, 274, 254, 2349, 276, 254, 2860, 5827, 1495, 282, 1663, 282, 2482, 16, 1664, 403, 1789, 533, 403, 417, 7664, 14, 1789, 533, 403, 7664, 274, 642, 1789, 286, 4574, 626, 403, 1789, 327, 403, 1845, 7664, 16, 3683, 765, 348, 7664, 1826, 360, 961, 353, 390, 417, 14, 747, 3506, 7664, 16, 3683, 2489, 452, 282, 15820, 254, 1389, 319, 348, 311, 254, 1068, 274, 855, 18631, 16, 23298, 3997, 650, 4132, 436, 1470, 348, 248, 2743, 7501, 855, 14, 2674, 1033, 22474, 5708, 1999, 650, 2033, 533, 3758, 282, 946, 16, 6499, 650, 4226, 327, 626, 311, 248, 3189, 2063, 5514, 343, 254, 1921, 274, 254, 4725, 16, 12408, 5842, 3335, 17486, 650, 4521, 1125, 274, 254, 2906, 16, 1223, 368, 476, 1002, 15641, 327, 836, 403, 33503, 756, 13558, 286, 327, 626, 311, 248, 35649, 4516, 9884, 16, 10078, 368, 915, 843, 4214, 513, 360, 13417, 1004, 642, 33, 3730, 311, 1495, 2843, 282, 1141, 668, 14, 580, 274, 254, 2667, 2344, 973, 274, 2743, 28446, 311, 1037, 69, 4308, 262, 3, 1268, 327, 311, 628, 274, 248, 1015, 2835, 16, 188, 4412, 248, 4062, 314, 252, 783, 531, 17, 21712, 14, 8855, 11, 883, 1328, 1062, 9729, 282, 3437, 436, 2951, 314, 263, 434, 248, 1470, 668, 23847, 481, 4895, 368, 1782, 747, 16, 188, 15, 1161, 781, 14, 310, 1652, 254, 4062, 16, 9127, 3, 310, 1218, 353, 16, 443, 5579, 466, 13537, 16, 23847, 311, 3136, 2013, 14, 360, 403, 512, 12408, 841, 512, 16, 1260, 324, 254, 1515, 14, 310, 915, 368, 747, 11409, 16, 2003, 7526, 248, 2187, 282, 751, 1919, 432, 6153, 12506, 942, 16, 310, 2033, 9415, 16, 731, 434, 1157, 4221, 16, 9127, 324, 7535, 254, 2951, 16, 23173, 368, 248, 4062, 888, 16, 188, 510, 7664, 276, 23847, 403, 1623, 1015, 274, 2489, 1444, 254, 1499, 14, 624, 4829, 16, 188, 1212, 1845, 1354, 7758, 274, 7664, 14, 286, 436, 671, 360, 669, 1652, 248, 1247, 2426, 282, 563, 343, 353, 3, 0, 1130, 434, 1311, 248, 15074, 282, 8033, 248, 4042, 282, 785, 603, 368, 1441, 276, 624, 11206, 16582, 16, 188, 1931, 343, 254, 12660, 22539, 6707, 276, 642, 14, 1637, 15, 34797, 796, 16582, 14, 353, 434, 1726, 282, 865, 327, 254, 4653, 452, 669, 4251, 16, 188, 1212, 1797, 9795, 282, 688, 10291, 1242, 15, 8549, 286, 272, 2382, 15, 4889, 503, 273, 6311, 282, 4533, 561, 843, 282, 23404, 785, 20771, 2966, 16, 188, 8608, 8033, 8555, 274, 3812, 20771, 14, 747, 418, 336, 1617, 2098, 434, 25986, 24714, 18558, 14, 282, 785, 1849, 532, 1058, 11701, 461, 81, 749, 436, 9828, 625, 321, 254, 2546, 16, 188, 4, 8608, 40141, 9749, 670, 596, 563, 684, 16104, 776, 3148, 43891, 1058, 11701, 461, 81, 749, 14, 15140, 327, 512, 9749, 452, 248, 3964, 16, 188, 4, 1853, 343, 7928, 276, 2025, 14, 21194, 857, 602, 7583, 282, 8823, 624, 14701, 14, 8649, 407, 254, 1242, 15, 484, 13443, 4326, 16, 7530, 4919, 857, 602, 311, 668, 47618, 14, 45007, 327, 476, 321, 15880, 276, 286, 3238, 274, 254, 3780, 286, 432, 1362, 282, 2286, 16, 30757, 2093, 286, 2218, 264, 2912, 311, 272, 1726, 628, 274, 47618, 14, 13496, 368, 46678, 633, 785, 1183, 997, 324, 248, 2286, 2288, 4400, 928, 4418, 1961, 832, 434, 1450, 274, 25130, 2116, 14, 36496, 10386, 511, 14, 2117, 10243, 6808, 1310, 16, 188, 4, 7542, 387, 942, 747, 2323, 13913, 45772, 14, 27355, 6551, 14, 663, 403, 3853, 14, 684, 9981, 14, 310, 1328, 248, 6250, 3306, 14, 310, 1328, 6873, 14, 310, 1328, 5384, 14, 532, 310, 1328, 9150, 248, 6450, 15, 433, 330, 15, 1259, 7417, 14, 286, 327, 434, 618, 1575, 4042, 3239, 593, 1623, 40222, 748, 2701, 368, 4311, 286, 4501, 327, 742, 276, 254, 3780, 928, 13656, 466, 26465, 5746, 14, 7488, 9850, 274, 4539, 7410, 1191, 14, 2117, 10243, 6808, 1310, 16, 188, 4, 43, 1141, 353, 434, 1623, 248, 6477, 274, 2328, 2056, 1849, 603, 368, 1441, 19450, 9150, 248, 1623, 6450, 3189, 14, 254, 5127, 274, 543, 12206, 7417, 63, 311, 11206, 928, 3605, 1089, 2117, 10243, 6808, 1310, 16, 347, 34022, 2056, 603, 368, 403, 9150, 248, 10812, 1708, 14, 368, 1441, 669, 417, 9150, 248, 2094, 26815, 16, 1664, 434, 3563, 274, 248, 4868, 274, 1789, 282, 1041, 2056, 327, 368, 1441, 811, 417, 1438, 1480, 1181, 276, 665, 580, 3758, 449, 188, 8417, 16, 7445, 40, 283, 322, 434, 378, 31563, 14029, 2024, 3809, 695, 46790, 939, 248, 31167, 6453, 282, 1079, 366, 248, 347, 36, 31563, 3692, 4, 274, 785, 20771, 16, 5650, 378, 31563, 14029, 311, 3316, 343, 1694, 282, 2712, 45007, 274, 4740, 14, 5537, 785, 20771, 16, 188, 8417, 16, 7445, 40, 283, 322, 434, 2214, 4025, 248, 1926, 1869, 347, 57, 612, 282, 7530, 28, 330, 15946, 282, 16325, 5243, 23171, 36318, 928, 327, 14794, 286, 11413, 15031, 3779, 40, 283, 322, 2117, 10243, 6808, 1310, 347, 23526, 2918, 2185, 328, 843, 282, 47522, 248, 5379, 12147, 41806, 327, 587, 24324, 729, 387, 785, 449, 0, 35, 25148, 324, 272, 3783, 2591, 22521, 2497, 327, 7582, 9073, 282, 338, 22, 18, 5645, 16, 188, 19, 16, 1860, 13518, 248, 26335, 274, 1665, 35121, 14249, 390, 11501, 15433, 7629, 29, 35121, 18445, 16, 188, 67, 16, 1860, 3856, 8851, 286, 276, 248, 11501, 15433, 4980, 28, 33036, 273, 687, 3780, 32910, 16, 188, 68, 16, 1860, 13958, 10306, 8284, 3955, 29, 247, 3938, 16, 188, 21, 16, 1860, 11501, 925, 343, 10925, 38251, 390, 17826, 16, 188, 1934, 13518, 390, 1309, 343, 248, 33036, 28, 2422, 263, 3486, 248, 37845, 16, 188, 67, 16, 380, 1665, 35121, 14249, 3471, 1143, 407, 2110, 10964, 16, 188, 68, 16, 330, 2013, 3471, 14, 3233, 1665, 14, 11501, 15433, 6345, 390, 21873, 16, 188, 20, 16, 3309, 3420, 390, 17826, 29, 884, 11883, 16, 188, 21, 16, 314, 38598, 11, 282, 13958, 10306, 28, 616, 2079, 12879, 2422, 263, 3486, 3108, 615, 709, 659, 16, 188 ]
[ 1, 23142, 6903, 71, 130, 245, 9081, 543, 21060, 34712, 1342, 16333, 23783, 1655, 30359, 4295, 30359, 142, 242, 10182, 9813, 63, 314, 25, 4087, 338, 26, 25, 27, 1091, 848, 3793, 338, 27, 20, 26, 11, 369, 254, 2543, 3879, 274, 254, 6338, 32617, 753, 9659, 4543, 286, 248, 6338, 32617, 753, 17939, 286, 8185, 16, 188, 20083, 248, 3335, 14, 626, 311, 641, 5510, 16, 12077, 4326, 14, 626, 311, 641, 942, 286, 2468, 321, 272, 31069, 14, 272, 1193, 16170, 1350, 16, 188, 4369, 520, 16100, 8011, 551, 2011, 286, 31069, 14, 348, 14790, 407, 254, 6338, 32617, 753, 10872, 274, 13570, 22834, 28, 921, 218, 5007, 34712, 11331, 21626, 4049, 20402, 8576, 4008, 28, 20514, 34712, 1342, 16333, 23783, 16333, 4295, 30359, 142, 242, 10182, 9813, 314, 25, 4087, 374, 18, 18, 24, 481, 188, 1516, 3135, 369, 1364, 15722, 328, 374, 21, 4423, 374, 18, 19, 26, 14, 387, 374, 20, 28, 23, 21, 16, 0, 1176, 56, 39877, 497, 276, 13546, 1364, 8621, 387, 254, 27607, 17, 31419, 4764, 56, 9333, 6095, 85, 500, 1344, 410, 71, 15513, 13921, 16, 15397, 407, 24248, 610, 27873, 16, 188, 510, 1097, 23937, 432, 254, 6268, 7134, 274, 46822, 4424, 14, 769, 339, 368, 1916, 353, 1037, 9082, 587, 1663, 1397, 2003, 1360, 2828, 1972, 14, 974, 1125, 4764, 56, 39877, 11298, 254, 338, 19, 394, 24785, 500, 1344, 410, 71, 15513, 13921, 254, 17626, 17, 43107, 11849, 4764, 56, 9333, 4131, 328, 4028, 374, 24, 15, 20, 26, 16, 188, 510, 1382, 3297, 387, 254, 12814, 13274, 331, 708, 27729, 2104, 16, 1180, 1093, 30979, 14, 353, 650, 321, 2006, 6400, 6248, 274, 2995, 268, 26703, 7682, 11888, 266, 2341, 4762, 14, 328, 254, 8705, 1874, 274, 254, 3843, 16, 188, 510, 624, 683, 374, 18, 18, 4863, 19057, 687, 495, 18, 6400, 328, 963, 15, 29557, 17312, 26267, 16, 1795, 3975, 274, 855, 486, 2049, 254, 1026, 1143, 254, 7420, 2875, 282, 946, 16, 3805, 25922, 497, 6965, 597, 276, 2315, 274, 4175, 282, 338, 18, 869, 16319, 14, 368, 1582, 7212, 34046, 390, 21616, 26267, 16, 496, 948, 14, 254, 9817, 628, 369, 368, 4428, 457, 86, 8340, 626, 497, 327, 1125, 17741, 254, 2211, 387, 254, 1057, 671, 3, 380, 7420, 2263, 25922, 939, 1493, 9530, 33601, 14, 2391, 1097, 21675, 85, 286, 2424, 5398, 561, 23095, 43186, 29, 282, 42618, 6667, 274, 47140, 3065, 286, 2424, 7340, 9960, 14299, 16, 188, 4921, 20162, 4863, 497, 4647, 14, 2424, 14, 2718, 286, 4331, 15, 29746, 16, 1547, 17248, 276, 20534, 432, 4764, 19392, 14, 11225, 15340, 14, 37686, 640, 14, 286, 1002, 248, 7128, 278, 2437, 7308, 4096, 16, 188, 1931, 254, 942, 3400, 254, 10400, 497, 254, 1640, 628, 3, 188, 2432, 497, 8251, 15, 10424, 626, 16, 16441, 443, 15954, 14, 387, 890, 25, 14, 369, 254, 16693, 14286, 16, 1691, 668, 2094, 942, 33, 41567, 2784, 457, 4398, 497, 626, 3, 1268, 32094, 309, 1886, 387, 7261, 2524, 4315, 282, 3954, 254, 8690, 31217, 14, 348, 345, 369, 254, 24590, 282, 9297, 16, 3683, 2144, 432, 6528, 275, 14, 5175, 42441, 14, 432, 12420, 47103, 14, 20208, 14, 1652, 282, 6761, 688, 3184, 671, 561, 274, 254, 5252, 14, 286, 276, 254, 10481, 274, 2424, 5398, 2504, 16, 188, 9928, 10767, 17626, 286, 10892, 12810, 25922, 497, 276, 20615, 16, 1268, 14, 944, 811, 2144, 282, 452, 790, 286, 4126, 254, 7640, 13428, 286, 5230, 37331, 274, 436, 2104, 16, 1223, 1038, 457, 86, 465, 487, 925, 1037, 43, 1563, 571, 487, 925, 3239, 668, 28253, 14, 974, 626, 497, 9567, 274, 729, 626, 348, 963, 3, 188, 510, 17626, 17, 43107, 11849, 4764, 56, 9333, 3792, 311, 14450, 16551, 274, 20017, 358, 16, 750, 2287, 254, 5293, 555, 668, 338, 22, 18, 2672, 14, 3435, 432, 1694, 282, 2537, 1015, 2957, 16, 1260, 248, 5293, 14, 596, 452, 580, 4654, 286, 580, 9297, 590, 1722, 14, 286, 353, 457, 85, 3673, 328, 254, 2543, 7608, 16, 188, 1590, 1212, 457, 307, 14833, 643, 7028, 436, 9297, 1544, 4109, 1756, 749, 16551, 16, 2003, 2818, 25297, 4139, 819, 348, 15557, 432, 254, 12882, 47, 14, 16313, 17263, 23108, 14, 8773, 324, 2653, 2497, 14, 5379, 29828, 12605, 14, 13454, 324, 1096, 14, 9723, 286, 18597, 11775, 1037, 395, 254, 1581, 4424, 328, 16, 35018, 607, 18, 5293, 2672, 497, 328, 1116, 282, 12114, 254, 4445, 9297, 16, 188, 1725, 28304, 1321, 2575, 40359, 5205, 14, 254, 27607, 17, 31419, 4764, 56, 9333, 2156, 2893, 343, 1922, 1321, 2575, 10724, 276, 23887, 26267, 286, 27729, 11376, 2442, 28900, 16, 1547, 1002, 3419, 8690, 33880, 324, 944, 21934, 4904, 597, 432, 254, 7420, 328, 790, 1382, 1362, 16, 1268, 432, 14729, 254, 41833, 2211, 14, 310, 457, 70, 452, 282, 4143, 1826, 596, 1102, 665, 3, 188, 510, 27607, 17, 31419, 4764, 56, 9333, 311, 1845, 9734, 3, 1547, 2780, 10846, 4764, 56, 2218, 276, 272, 37818, 11146, 1026, 7526, 4962, 248, 4617, 3112, 276, 2367, 343, 254, 2142, 328, 3265, 8438, 13558, 286, 2218, 16, 1547, 452, 4168, 1837, 282, 1041, 11376, 21415, 387, 7694, 32604, 14, 12814, 13274, 1268, 442, 14, 12839, 19303, 586, 32604, 14, 3467, 1412, 15, 67, 15, 2324, 81, 286, 254, 26830, 7112, 16, 8486, 486, 311, 2066, 387, 836, 8369, 14, 343, 30923, 265, 3551, 286, 37292, 6990, 5740, 387, 2006, 16, 188, 510, 790, 1382, 457, 85, 2251, 369, 3061, 1640, 3948, 407, 254, 4863, 457, 30583, 14, 23755, 286, 3920, 275, 6302, 466, 16, 380, 17626, 17, 43107, 11849, 4764, 56, 9333, 4131, 353, 14, 286, 1125, 2144, 282, 4126, 286, 11129, 772, 47656, 2104, 16, 0, 24481, 27023, 14, 254, 9409, 14794, 286, 254, 1499, 434, 8560, 10282, 636, 14, 311, 282, 4615, 272, 10120, 551, 29521, 3519, 324, 347, 21259, 282, 4022, 15657, 3333, 188, 510, 16911, 327, 345, 4615, 254, 18692, 369, 1143, 407, 254, 33359, 14, 16929, 7042, 16, 18343, 16544, 20980, 311, 3159, 282, 10302, 353, 10590, 14, 670, 2234, 27023, 587, 3856, 387, 248, 7847, 328, 347, 25378, 6634, 25582, 4, 28048, 407, 2234, 7042, 16, 0, 10717, 263, 1889, 5150 ]
[ 1, 10193, 1318, 20329, 286, 1652, 254, 40875, 9912, 4840, 14, 1563, 14, 29461, 2244, 13508, 5949, 554, 282, 1115, 248, 1612, 16, 3826, 603, 310, 476, 811, 5416, 254, 21772, 42584, 2877, 14, 310, 457, 70, 321, 248, 5058, 3306, 16, 33113, 1297, 3306, 16, 188, 34, 59, 1781, 25290, 28, 839, 2692, 2102, 865, 254, 3541, 282, 327, 16, 8022, 1391, 2008, 624, 2479, 555, 4634, 713, 12561, 2479, 683, 713, 2471, 2960, 16, 731, 457, 85, 11231, 327, 1330, 8095, 2431, 650, 452, 272, 3373, 328, 8265, 1091, 596, 476, 321, 1649, 1996, 7332, 390, 19681, 282, 2257, 5289, 16, 188, 7470, 15108, 311, 1826, 1093, 8095, 2431, 1311, 785, 670, 254, 1773, 311, 15673, 254, 12561, 387, 8130, 7401, 16, 2666, 5316, 311, 327, 5745, 5485, 254, 8095, 2431, 403, 4731, 3971, 282, 2471, 12078, 751, 23889, 512, 282, 6898, 387, 719, 18, 18, 4407, 42, 16, 188, 19, 11, 513, 596, 27991, 17312, 387, 248, 2103, 2210, 14, 1081, 2226, 834, 254, 1040, 274, 254, 26621, 286, 6069, 282, 254, 2209, 274, 254, 12561, 33, 188, 20, 11, 476, 254, 12561, 321, 17933, 387, 248, 5118, 2042, 33, 15897, 15484, 403, 1311, 1497, 438, 599, 17933, 16, 188, 21, 11, 513, 254, 8095, 2431, 13102, 254, 6215, 274, 13129, 254, 6243, 33, 20798, 273, 311, 2501, 14, 286, 1081, 38452, 286, 9690, 16140, 403, 17912, 324, 2501, 16, 188, 2943, 587, 14301, 3393, 18568, 546, 1242, 8920, 27174, 6564, 33, 188, 1590, 3992, 8326, 407, 34619, 666, 650, 1041, 248, 1157, 6627, 1360, 8563, 16, 188, 510, 1026, 512, 274, 254, 1953, 14898, 7871, 713, 2674, 3834, 10107, 311, 4576, 16, 1223, 5230, 16, 188, 34, 31468, 28, 6107, 14, 327, 369, 748, 310, 8123, 16, 22761, 276, 254, 1364, 7315, 14, 254, 1773, 5757, 2602, 4313, 747, 248, 37489, 16, 10551, 1480, 11114, 282, 45095, 387, 436, 4813, 14, 532, 22794, 16, 188, 510, 3802, 286, 254, 15486, 403, 580, 274, 254, 4462, 14, 310, 10596, 436, 2586, 16, 188, 43, 369, 2304, 3089, 248, 15682, 13783, 956, 276, 1303, 15, 39, 25484, 39584, 16, 2514, 1362, 14, 254, 11336, 14, 248, 1330, 14, 27399, 5237, 3306, 14, 7233, 276, 286, 749, 14, 769, 1843, 2966, 14, 360, 587, 321, 12055, 254, 367, 1898, 1715, 608, 1795, 1326, 16, 5879, 33, 4772, 353, 311, 5230, 1397, 1469, 749, 353, 343, 248, 9358, 327, 4598, 637, 15, 2770, 8433, 665, 4678, 4020, 16, 1223, 835, 701, 2607, 441, 2075, 353, 311, 5230, 16, 188, 36, 2902, 16, 8229, 403, 254, 642, 1241, 7383, 11284, 14, 512, 2193, 4455, 2380, 33, 10944, 368, 16, 188, 4630, 7376, 6247, 2631, 23832, 327, 3629, 555, 417, 2102, 2428, 5743, 387, 16, 188, 1130, 311, 417, 3256, 327, 596, 314, 27697, 343, 14419, 11, 497, 11284, 432, 4851, 14, 532, 327, 596, 497, 4307, 407, 3686, 276, 4851, 276, 3956, 327, 5709, 615, 785, 16, 310, 747, 282, 1141, 327, 626, 497, 9256, 276, 254, 338, 27, 23, 18, 457, 85, 670, 512, 1241, 497, 276, 23753, 314, 2723, 310, 457, 307, 5108, 618, 6601, 1464, 11, 387, 254, 1057, 671, 16, 188, 43, 1606, 282, 6796, 327, 772, 3064, 324, 436, 6121, 311, 432, 1045, 14, 348, 963, 16, 188, 1516, 311, 248, 33385, 1519, 877, 286, 20824, 20313, 16, 6693, 324, 254, 12209, 3223, 16, 188, 1843, 14, 276, 436, 1068, 14, 22277, 1849, 360, 3477, 282, 751, 254, 14898, 282, 4212, 46902, 328, 254, 17214, 276, 254, 37489, 457, 85, 12561, 14, 533, 5827, 254, 607, 18, 15, 23, 18, 7871, 16, 2028, 360, 4212, 742, 15, 8984, 14, 626, 369, 248, 1733, 26387, 328, 580, 1874, 286, 248, 1330, 26387, 328, 254, 642, 16, 1260, 1034, 348, 254, 18804, 5757, 4212, 248, 17214, 14, 353, 4400, 3285, 763, 4707, 14898, 16, 188, 11271, 57, 1849, 5879, 254, 4617, 274, 254, 1241, 3762, 555, 763, 16584, 12519, 254, 36561, 3082, 274, 580, 311, 248, 1897, 324, 254, 4337, 314, 45, 363, 4753, 15159, 267, 515, 75, 14, 500, 1917, 24266, 14, 12828, 367, 981, 1625, 11, 1849, 618, 14625, 311, 254, 20313, 14, 417, 254, 6340, 17315, 3, 188, 8177, 368, 14, 5552, 368, 324, 21608, 16, 9175, 265, 888, 282, 915, 603, 368, 852, 16, 188, 43, 457, 307, 1218, 248, 1603, 4806, 407, 1004, 2410, 16, 188, 1253, 403, 254, 769, 9641, 457, 86, 2891, 666, 2893, 33, 0, 3146, 251, 87, 37372, 5438, 34965, 311, 248, 495, 18, 802, 1668, 314, 38, 9078, 28, 4257, 374, 25, 14, 338, 27, 26, 26, 11, 34256, 16, 750, 35806, 85, 248, 338, 22, 11807, 4, 16552, 14, 21150, 5556, 1208, 17508, 14, 286, 311, 248, 3442, 274, 254, 4910, 7352, 11523, 274, 44158, 10720, 85, 3371, 811, 742, 254, 6023, 36342, 6036, 5203, 1444, 254, 323, 12307, 22923, 16, 2936, 7383, 11327, 27754, 1926, 311, 11327, 27754, 286, 254, 14244, 315, 6519, 5646, 286, 520, 954, 0, 10949, 772, 3083, 16, 839, 452, 248, 1247, 3083, 1142, 282, 1336, 368, 4400, 1074, 254, 30114, 1318, 5202, 17823, 628, 368, 961, 14, 3256, 4750, 254, 628, 368, 872, 276, 254, 3083, 2453, 1788, 286, 4212, 4750, 14, 360, 587, 513, 254, 1515, 324, 368, 16, 188, 1866, 12654, 3, 1286, 368, 452, 9514, 268, 21895, 390, 10280, 328, 843, 282, 9084, 1074, 14, 18847, 74, 1386, 14, 8478, 390, 6384, 248, 30114, 1318, 5202, 14, 286, 961, 282, 3768, 353, 282, 1336, 2489, 561, 14, 835, 751, 276, 2960, 14, 360, 650, 2314, 633, 8164, 16, 188, 20426, 441, 16, 1286, 368, 476, 625, 1074, 254, 30114, 1318, 5202, 17823, 628, 390, 30114, 1318, 5202, 6915, 368, 403, 2731, 324, 14, 4356, 21685, 441, 390, 889, 772, 328, 15, 14003, 3051, 12584, 286, 360, 587, 321, 5058, 282, 1336, 16, 0, 510, 30118, 4818, 2208, 274, 254, 9574, 452, 3781, 1350, 274, 1416, 11019, 10587, 282, 254, 1708, 5060, 9737, 16, 380, 13416, 555, 248, 396, 9207, 10787, 6679, 1451, 327, 14841, 682, 3371, 282, 2683, 328, 2363, 286, 512, 3665, 3017, 16, 380, 8952, 452, 2257, 15, 42560, 28509, 35619, 10909, 956, 9692, 13128, 343, 4331, 15, 8018, 286 ]
[ 1, 756, 6343, 311, 603, 368, 403, 11416, 432, 254, 5427, 16, 188, 4816, 933, 411, 6871, 1545, 368, 282, 417, 452, 5516, 3540, 85, 33, 1395, 452, 665, 2520, 324, 327, 33, 188, 3992, 16, 1268, 353, 587, 321, 254, 7997, 17, 19071, 5516, 16, 5879, 933, 5427, 321, 3994, 12997, 683, 7997, 407, 411, 6871, 33, 188, 21886, 417, 2746, 282, 2033, 16, 2640, 254, 9933, 20197, 14166, 14, 254, 5427, 286, 254, 8513, 43, 452, 254, 6253, 274, 254, 1760, 858, 1506, 14166, 869, 254, 763, 274, 729, 16, 1286, 2996, 311, 4003, 282, 4750, 8513, 43, 14, 835, 327, 1408, 311, 669, 4003, 282, 4750, 5427, 16, 1223, 11685, 25724, 16, 2003, 457, 85, 2075, 626, 311, 641, 872, 282, 1423, 942, 457, 85, 11132, 869, 8513, 43, 286, 5427, 16, 7560, 3751, 327, 254, 977, 282, 4149, 282, 8513, 43, 286, 5427, 2427, 457, 86, 1862, 254, 977, 282, 7768, 4287, 626, 16, 188, 1253, 628, 274, 769, 301, 1799, 594, 666, 368, 513, 417, 2033, 33, 188, 4816, 650, 254, 411, 6871, 417, 1545, 368, 417, 282, 452, 3655, 5516, 5595, 33, 1395, 3073, 282, 321, 15973, 327, 1081, 254, 7997, 286, 254, 5427, 587, 321, 6548, 407, 10726, 282, 5129, 30247, 470, 7, 42483, 1903, 5294, 16, 188, 510, 374, 24, 587, 417, 961, 282, 321, 22231, 713, 254, 3979, 368, 2448, 1062, 963, 314, 2295, 15267, 1853, 481, 1678, 596, 596, 587, 513, 353, 16, 2470, 811, 959, 286, 790, 80, 1019, 500, 25983, 314, 1578, 254, 743, 5168, 11, 811, 16241, 327, 368, 476, 417, 1423, 633, 5516, 16, 188, 35, 2182, 28, 1268, 417, 3136, 2778, 38960, 37735, 12365, 28, 25147, 663, 476, 4181, 91, 4750, 8513, 43, 476, 6124, 4149, 1269, 12063, 390, 11920, 282, 39577, 16, 380, 17204, 311, 327, 368, 2468, 2743, 282, 5687, 14, 13563, 14, 259, 71, 14994, 1269, 4501, 1432, 9830, 16, 2003, 35513, 1563, 368, 587, 321, 14021, 432, 2430, 593, 532, 695, 417, 348, 3364, 348, 1558, 33031, 650, 747, 282, 1041, 561, 16, 188, 510, 1840, 327, 1558, 33031, 555, 311, 2565, 593, 1181, 327, 695, 2746, 282, 2033, 314, 19666, 353, 774, 321, 248, 10888, 324, 775, 581, 532, 2499, 327, 254, 6437, 286, 254, 4932, 403, 624, 2746, 324, 775, 282, 2903, 16, 188, 4412, 22137, 28, 380, 7997, 457, 85, 8778, 769, 2295, 2874, 666, 9809, 254, 7997, 587, 3377, 254, 8513, 43, 282, 28834, 248, 5516, 314, 4465, 587, 2654, 254, 443, 5219, 4205, 11, 276, 1316, 282, 1964, 4858, 254, 7997, 2703, 12618, 1091, 380, 5427, 1856, 457, 86, 28834, 665, 5516, 274, 2211, 16, 188, 40905, 286, 5294, 12775, 587, 321, 26857, 12368, 407, 254, 7997, 16, 188, 32229, 28, 1395, 476, 4750, 8513, 43, 1269, 248, 30077, 603, 368, 403, 22012, 432, 39577, 756, 16, 188, 21356, 642, 6336, 282, 665, 628, 274, 10726, 4279, 9830, 16, 188, 3676, 368, 4149, 432, 5687, 14, 13563, 14, 14994, 282, 39577, 835, 248, 5427, 14821, 314, 297, 693, 315, 8069, 11, 756, 3095, 5257, 16, 8454, 368, 4149, 432, 5687, 14, 13563, 14, 14994, 282, 254, 8513, 43, 835, 368, 872, 30077, 16, 496, 254, 1057, 1026, 603, 3655, 432, 10726, 23597, 282, 5427, 30443, 345, 1845, 3095, 1432, 9830, 1091, 533, 4250, 774, 390, 774, 417, 321, 248, 30077, 1091, 6837, 748, 45279, 345, 555, 16, 330, 23347, 22012, 2969, 8513, 43, 3095, 248, 30077, 286, 3061, 248, 24289, 282, 4750, 1081, 254, 8513, 43, 286, 254, 5427, 16, 188, 11273, 14324, 13724, 374, 16, 19, 380, 16788, 311, 1707, 328, 254, 7851, 274, 254, 16170, 13540, 274, 512, 695, 19923, 16, 188, 29398, 457, 85, 34898, 2035, 311, 276, 13396, 603, 1928, 14324, 13850, 16, 188, 2686, 2843, 1143, 272, 11283, 5794, 8777, 561, 10922, 14, 2857, 87, 16, 2936, 1390, 42936, 479, 532, 345, 852, 1110, 561, 327, 650, 1041, 388, 7504, 14, 254, 2410, 274, 331, 1475, 15, 20, 20, 14, 11129, 254, 32503, 16, 6499, 942, 403, 417, 2347, 282, 4565, 7923, 276, 1316, 282, 2743, 17753, 713, 254, 5427, 16, 1268, 254, 756, 1026, 282, 11801, 729, 311, 282, 2374, 615, 7923, 16, 7693, 368, 513, 327, 311, 254, 372, 31724, 1316, 16, 188, 686, 6569, 254, 5427, 4402, 254, 4543, 274, 10726, 513, 8826, 452, 254, 1575, 282, 3408, 368, 286, 4681, 368, 913, 7923, 14, 30077, 390, 4859, 16, 6123, 4203, 403, 9933, 5245, 33563, 14, 417, 2714, 47998, 4356, 43706, 27936, 4967, 33563, 747, 254, 7997, 20, 24, 16, 188, 1368, 933, 1623, 865, 436, 14, 479, 250, 6840, 588, 26826, 7606, 67, 16, 1395, 1703, 282, 321, 3686, 276, 5974, 533, 14, 7224, 432, 24460, 14, 311, 669, 248, 9933, 5245, 7371, 16, 0, 1253, 311, 272, 1991, 12006, 366, 11058, 324, 248, 8126, 282, 321, 15153, 8832, 1201, 530, 33, 188, 3912, 274, 254, 5793, 27341, 310, 573, 670, 310, 369, 248, 1956, 2796, 369, 670, 369, 353, 4426, 324, 618, 1401, 282, 321, 1628, 1683, 3690, 16, 21778, 14, 310, 3470, 625, 1438, 282, 3437, 618, 338, 18, 5977, 1668, 282, 3575, 520, 607, 5977, 1668, 4778, 14, 532, 807, 254, 338, 18, 5977, 1668, 321, 1628, 3690, 324, 495, 18, 28172, 390, 593, 1205, 310, 6165, 282, 254, 6956, 4513, 324, 8240, 706, 11309, 33, 188, 3852, 748, 603, 310, 369, 3400, 3447, 432, 785, 286, 254, 1643, 7053, 2102, 33, 188, 17660, 596, 321, 17751, 324, 338, 23, 15, 20, 18, 2819, 3690, 33, 188, 7979, 9809, 4448, 3136, 248, 2298, 1205, 310, 369, 248, 1956, 3002, 16, 2514, 274, 254, 8071, 497, 8113, 14, 593, 596, 4428, 625, 563, 282, 615, 2539, 42394, 14, 593, 310, 650, 452, 282, 1074, 2996, 282, 3191, 343, 729, 16, 1260, 248, 1956, 3002, 14, 310, 4428, 625, 1052, 742, 785, 1033, 671, 580, 274, 729, 497, 8113, 16, 731, 811, 3470, 625, 4204, 282, 618, 2545, 14, 4402, 650, 6536, 1052, 15, 13884, 321, 11875, 16, 310, 3477, 282, 15475, 1052, 742, 85, 324, 254, 2133, 586, 32286, 14, 3960, 9228, 14, 3838, 16, 39997, 14, 310, 573, 272, 12745, 2174, 390, 19998, 663, 650, 3575, 254, 8071 ]
[ 1, 6268, 286, 248, 5157, 23609, 668, 2075, 310, 2314, 3686, 276, 35204, 16, 188, 89, 9378, 1008, 2835, 286, 7758, 16, 9127, 324, 3089, 254, 671, 282, 3768, 3, 0, 1130, 311, 343, 1247, 30764, 327, 7184, 5795, 555, 2865, 254, 3547, 668, 418, 2872, 435, 354, 35013, 14, 254, 801, 7184, 5795, 3792, 14, 7922, 1919, 16, 2234, 16, 354, 35013, 369, 580, 274, 254, 22822, 23803, 274, 7184, 5795, 14, 286, 3989, 11923, 1081, 276, 520, 7716, 38324, 570, 286, 16714, 16, 750, 369, 3989, 12032, 11262, 407, 520, 7184, 5795, 11335, 16, 188, 46, 2872, 435, 354, 35013, 314, 1251, 11, 2292, 343, 520, 2251, 640, 348, 7184, 5795, 3792, 14, 7813, 5746, 1201, 431, 1412, 250, 14, 1011, 339, 24620, 339, 5356, 325, 14, 46403, 3883, 15692, 1625, 286, 32016, 361, 354, 613, 71, 387, 254, 7184, 5795, 4078, 13799, 374, 18, 18, 26, 16, 188, 3908, 5795, 4078, 9274, 2323, 2527, 18960, 70, 606, 250, 328, 10844, 274, 512, 7184, 5795, 2672, 17089, 520, 33339, 1633, 282, 418, 2872, 435, 354, 35013, 286, 22926, 2157, 254, 7184, 5795, 14794, 16, 2234, 16, 18960, 70, 606, 250, 29515, 520, 11719, 451, 6699, 312, 2885, 282, 2234, 16, 354, 35013, 457, 85, 1963, 16, 188, 7507, 16, 354, 35013, 369, 9676, 4264, 254, 16111, 274, 7184, 5795, 428, 345, 369, 248, 13388, 25863, 274, 14088, 286, 6995, 286, 348, 345, 7573, 6392, 276, 1303, 15, 22557, 565, 14, 345, 573, 248, 15154, 3520, 274, 254, 24690, 274, 6870, 698, 781, 36116, 16, 188, 510, 2863, 274, 2234, 16, 354, 35013, 14, 248, 1247, 636, 286, 248, 1247, 38324, 753, 14, 555, 669, 643, 4728, 407, 254, 3792, 274, 38324, 570, 14, 1860, 4770, 10802, 1595, 286, 407, 3326, 7184, 5795, 6765, 10533, 7813, 5746, 1201, 431, 1412, 250, 16, 188, 40, 3060, 38324, 753, 23309, 14, 45790, 3823, 382, 14, 41046, 14, 25995, 286, 17939, 16, 188, 29838, 276, 31632, 2872, 14, 38324, 570, 14, 3093, 16, 354, 35013, 20356, 432, 254, 309, 435, 87, 2341, 2421, 276, 338, 27, 24, 20, 343, 248, 4110, 276, 2025, 2803, 16, 750, 3444, 30185, 343, 1470, 22005, 2109, 387, 254, 6342, 324, 43985, 11392, 387, 254, 11112, 274, 13050, 274, 46776, 314, 19, 27, 24, 22, 15, 19, 27, 24, 24, 11, 286, 4347, 274, 9289, 14, 309, 435, 87, 2341, 2421, 314, 19, 27, 24, 24, 15, 19, 27, 24, 27, 11, 1063, 4574, 20379, 520, 22297, 276, 338, 27, 26, 23, 16, 188, 25318, 436, 1631, 354, 35013, 369, 272, 8213, 1065, 14, 286, 254, 801, 282, 4503, 254, 2983, 274, 9753, 3749, 1735, 670, 15250, 26309, 16947, 286, 2025, 43985, 7697, 286, 6068, 16, 2936, 13072, 5532, 1143, 775, 580, 274, 254, 4136, 8219, 274, 45790, 3823, 2109, 1525, 254, 16042, 2079, 274, 3194, 14118, 276, 254, 338, 27, 24, 18, 457, 85, 286, 338, 27, 25, 18, 457, 85, 16, 6236, 436, 671, 314, 44600, 338, 27, 24, 27, 15, 338, 27, 25, 21, 11, 345, 5444, 348, 248, 11552, 13245, 387, 309, 435, 87, 2341, 2421, 14, 1063, 1129, 11200, 324, 3165, 15, 11396, 382, 37727, 16, 14368, 345, 4168, 324, 3460, 1090, 348, 272, 16064, 274, 254, 30938, 324, 43985, 11392, 16, 2646, 436, 3989, 5384, 27168, 354, 35013, 369, 10295, 295, 14275, 14856, 276, 254, 10787, 1499, 286, 369, 14708, 282, 254, 1450, 274, 254, 17676, 324, 9289, 286, 13367, 14118, 314, 19, 27, 26, 21, 15, 19, 27, 27, 19, 481, 188, 21581, 5678, 328, 520, 1564, 276, 1330, 12053, 286, 21456, 14, 276, 338, 27, 27, 19, 354, 35013, 369, 248, 22822, 3442, 286, 801, 20605, 274, 254, 7184, 5795, 14, 348, 248, 3442, 274, 254, 38324, 753, 5594, 286, 38324, 753, 6284, 14, 338, 27, 27, 18, 15, 19, 27, 27, 20, 14, 276, 272, 3074, 282, 7374, 1392, 5661, 282, 2654, 1919, 432, 46776, 1423, 16, 750, 14266, 436, 1844, 1863, 338, 27, 27, 21, 14, 670, 345, 3285, 17258, 4078, 9274, 324, 11546, 2963, 14, 286, 3297, 248, 9711, 1034, 27168, 348, 9701, 274, 254, 7184, 5795, 2357, 15, 635, 1483, 7258, 276, 309, 435, 87, 14, 38324, 570, 16, 6236, 436, 671, 354, 35013, 369, 29751, 324, 7184, 5795, 276, 11546, 2963, 286, 9681, 282, 254, 815, 15, 635, 1483, 286, 7028, 274, 3284, 324, 687, 3460, 1090, 16, 1993, 3284, 2818, 380, 11910, 19231, 12304, 324, 11546, 2963, 327, 9458, 3265, 274, 4903, 286, 3452, 815, 15, 20312, 276, 248, 9670, 3514, 286, 254, 1213, 274, 372, 15, 47633, 5670, 15552, 1125, 2489, 16, 188, 1725, 45691, 14, 496, 254, 338, 27, 27, 18, 85, 354, 35013, 4168, 328, 254, 14471, 319, 274, 254, 21412, 274, 1910, 2450, 2530, 16947, 16, 3805, 338, 27, 27, 22, 345, 555, 643, 254, 11983, 274, 254, 11839, 324, 43985, 11392, 14, 387, 254, 2421, 274, 309, 435, 87, 16, 750, 1938, 5444, 348, 1450, 274, 254, 17676, 324, 43985, 11392, 314, 19, 27, 27, 19, 15, 19, 27, 27, 22, 481, 496, 338, 27, 27, 26, 345, 11528, 520, 785, 328, 1910, 2450, 1707, 16947, 286, 345, 369, 254, 9100, 1065, 286, 1450, 274, 254, 2479, 2133, 347, 22007, 2450, 2530, 16947, 276, 254, 2803, 274, 27488, 3333, 354, 35013, 369, 669, 272, 2410, 274, 3460, 4945, 286, 687, 580, 4150, 10787, 7570, 328, 254, 2186, 16, 188, 47, 35013, 4667, 1919, 6741, 14, 338, 22, 394, 4929, 841, 9694, 432, 248, 1034, 6503, 343, 2832, 16, 188, 46, 2872, 435, 354, 35013, 314, 250, 254, 3981, 11, 343, 17839, 2213, 418, 2813, 1285, 520, 4010, 282, 38324, 570, 276, 338, 27, 27, 19, 16, 0, 35, 8010, 597, 5348, 328, 1642, 29644, 14, 436, 311, 248, 3834, 8901, 324, 8350, 26074, 16, 188, 19, 16, 5564, 15, 21661, 633, 13810, 282, 338, 23, 18, 136, 238, 37, 1209, 495, 18, 18, 136, 238, 40, 1209, 3556, 1579, 374, 16, 188, 20, 16, 496, 248, 38691, 3217, 254, 8421, 32516, 14, 8392, 14, 10109, 286, 13688, 29054, 282, 248, 21471, 16, 3635, 951, 324, 607, 2819, 687, 248, 4502, 4112, 16, 188, 21, 16, 19423, 254, 3096, 432, 254, 4112, 16 ]
[ 1, 7758, 1422, 4304, 568, 1091, 836, 17052, 452, 353, 512, 16, 1732, 24800, 286, 331, 5486, 3207, 8277, 403, 9415, 17352, 869, 254, 10892, 628, 274, 3561, 3840, 286, 2963, 14, 1205, 323, 564, 6870, 47356, 311, 17352, 1689, 282, 22002, 24834, 286, 2734, 3605, 3840, 14, 4782, 836, 17052, 254, 6215, 274, 14989, 348, 248, 14311, 869, 2963, 286, 3840, 16, 188, 1853, 628, 274, 254, 13605, 11182, 14, 836, 17052, 3831, 248, 1062, 11146, 3026, 324, 5060, 9094, 16, 380, 34305, 1296, 5168, 403, 13481, 14, 254, 10203, 403, 1656, 14, 626, 403, 641, 1369, 12451, 328, 4163, 6326, 14, 286, 254, 17052, 5961, 4311, 5215, 324, 42928, 6000, 16, 330, 1518, 38756, 27950, 583, 327, 16090, 4243, 14, 9622, 286, 13605, 669, 2701, 254, 17052, 272, 7250, 4189, 324, 806, 24889, 19361, 16, 1260, 628, 274, 254, 11182, 274, 254, 15881, 14, 836, 17052, 476, 3831, 1002, 624, 2790, 1294, 5503, 324, 5060, 9094, 28, 3452, 7675, 14, 248, 3471, 4181, 975, 286, 15410, 343, 254, 11182, 457, 85, 4303, 515, 447, 512, 687, 254, 1499, 16, 188, 6690, 17052, 3831, 272, 5081, 274, 8856, 286, 403, 963, 3591, 1525, 944, 4903, 18903, 16, 37855, 512, 615, 40437, 2292, 14, 368, 587, 1074, 248, 963, 15, 33901, 22050, 1648, 248, 3506, 3555, 5980, 2176, 14, 8553, 8130, 286, 5909, 16972, 343, 2623, 10022, 432, 17, 927, 254, 24727, 2829, 348, 963, 348, 432, 17, 927, 3561, 14, 7956, 286, 3605, 3840, 286, 254, 5130, 6226, 16, 1664, 311, 669, 272, 5060, 13571, 343, 6939, 2257, 10022, 432, 17, 927, 254, 24727, 2829, 348, 963, 348, 282, 17, 3933, 3561, 14, 7956, 14, 3605, 3840, 286, 254, 5130, 6226, 16, 496, 1596, 282, 272, 6939, 3591, 4682, 3134, 8548, 14, 1683, 282, 1125, 274, 254, 1499, 457, 85, 4144, 4682, 9737, 14, 626, 311, 248, 1350, 15, 1153, 15, 779, 15, 435, 3886, 34112, 11019, 276, 1619, 343, 1017, 3759, 8349, 2218, 16, 380, 2072, 286, 37562, 11019, 311, 580, 274, 254, 944, 7077, 276, 254, 2829, 16, 1664, 403, 641, 2142, 12775, 328, 5475, 15, 14855, 9094, 286, 18357, 403, 14258, 16, 380, 18945, 6092, 4708, 403, 343, 254, 15881, 14, 254, 1928, 2016, 286, 9340, 343, 12408, 3840, 16, 826, 311, 11088, 276, 254, 5537, 3134, 286, 17511, 14, 1518, 38136, 25940, 2066, 11841, 343, 3520, 274, 254, 2371, 14, 5130, 286, 12408, 2371, 10762, 16, 1260, 836, 17052, 3831, 248, 5081, 274, 8856, 14, 254, 17052, 274, 254, 13605, 11182, 403, 254, 3834, 4189, 282, 4947, 633, 2072, 16, 188, 2976, 254, 1026, 2362, 254, 14436, 16836, 14, 254, 15881, 1091, 343, 695, 15931, 11019, 286, 20887, 14311, 324, 2963, 939, 254, 2176, 274, 21656, 351, 11429, 314, 18369, 457, 85, 6081, 11, 286, 25757, 17806, 3574, 531, 10877, 1091, 311, 254, 7250, 27884, 282, 1242, 15679, 633, 2072, 16, 380, 15881, 3277, 580, 274, 254, 944, 3989, 18596, 14, 11785, 286, 16713, 785, 34854, 276, 2963, 16, 12227, 282, 695, 18178, 1162, 274, 18819, 7935, 46840, 14, 254, 15881, 311, 248, 7688, 1619, 432, 533, 282, 1041, 633, 18357, 16, 2640, 13481, 2802, 9439, 324, 5475, 15, 14855, 4273, 14, 254, 15881, 555, 580, 274, 254, 944, 9220, 2802, 23091, 6743, 276, 254, 1499, 16, 5066, 14, 254, 13605, 3452, 286, 4682, 7742, 555, 643, 1062, 6301, 324, 7797, 16, 380, 2142, 274, 254, 15881, 40052, 1292, 266, 1091, 276, 15410, 343, 17877, 286, 13605, 3520, 4818, 2208, 1091, 328, 1499, 15, 2360, 2479, 286, 2363, 286, 4144, 254, 1026, 276, 15392, 286, 31261, 16, 0, 1516, 448, 281, 374, 7731, 328, 500, 7731, 5961, 368, 248, 1464, 4317, 633, 12308, 16, 18235, 456, 1689, 282, 607, 4043, 11287, 46574, 286, 977, 328, 254, 1643, 10282, 33693, 13424, 258, 792, 1091, 254, 10959, 14, 353, 476, 29187, 254, 14930, 274, 1002, 254, 944, 17395, 4149, 255, 16, 9942, 282, 254, 16527, 14, 14696, 14, 15224, 266, 286, 254, 6081, 39636, 11287, 14, 368, 587, 452, 248, 4688, 282, 10087, 526, 286, 4126, 254, 2687, 16, 8493, 6218, 343, 6151, 7381, 7346, 286, 37940, 368, 1856, 66, 86, 872, 282, 4319, 4325, 4806, 343, 368, 14, 3148, 311, 2102, 4694, 286, 5320, 324, 633, 12668, 16, 6123, 36025, 4589, 9446, 42447, 286, 2023, 2057, 10782, 282, 254, 12603, 16, 188, 57, 20841, 43776, 432, 21317, 274, 254, 45337, 3, 188, 28739, 410, 27398, 356, 34331, 781, 74, 286, 4126, 633, 3191, 276, 436, 495, 13714, 42977, 16, 0, 1212, 2314, 248, 1157, 2271, 648, 1045, 387, 399, 457, 9454, 463, 532, 748, 360, 452, 2486, 282, 5357, 311, 1594, 5577, 324, 254, 624, 25532, 636, 29, 248, 1972, 10711, 663, 4701, 282, 18754, 36826, 14, 21607, 286, 5957, 328, 248, 5157, 3596, 1269, 14348, 16, 2003, 671, 555, 7053, 286, 254, 2342, 276, 1897, 311, 1869, 2714, 40, 2625, 1944, 3086, 1476, 378, 8722, 15787, 43982, 4301, 276, 1427, 2728, 274, 2211, 16, 3545, 1276, 407, 6225, 478, 33753, 286, 11100, 14, 254, 2245, 311, 248, 35205, 274, 11638, 5034, 10786, 343, 254, 10334, 9526, 4683, 274, 1427, 2728, 16, 188, 510, 5100, 2150, 311, 3061, 254, 944, 26854, 343, 1116, 15, 82, 19756, 27411, 32794, 343, 7389, 31115, 5372, 282, 2706, 248, 4311, 14145, 2362, 254, 1683, 3444, 8026, 407, 254, 29840, 480, 9335, 476, 3292, 16, 330, 5711, 274, 40556, 21607, 1648, 7136, 9927, 286, 19453, 281, 5372, 669, 7526, 818, 1839, 282, 254, 790, 4595, 10473, 16, 380, 13317, 33, 3257, 15664, 254, 14911, 533, 259, 5832, 266, 1746, 1179, 11720, 16, 0, 30736, 1391, 26147, 756, 343, 7810, 9257, 16, 188, 5338, 457, 86, 7461, 16, 576, 41, 38937, 7810, 9257, 4163, 311, 5390, 15, 42952, 286, 1042, 417, 872, 248, 10969, 1360, 16, 188, 510, 944, 7077, 4163, 324, 23715, 254, 7142, 311, 1869, 576, 41, 38937, 16, 380, 3759, 274, 254, 26147, 5514, 343, 772, 1193, 11442, 14228, 2896, 2034, 327, 360, 476, 3858, 665, 4189, 1269, 254, 872, 324, 261, 13252, 16, 4925, 14, 360, 24689, 248, 16753, 3833, 11535, 282, 7810, 9257, 327, 31366, 11372, 432, 642, 8919, 327, 403, 25083, 328, 254, 1057, 1903, 15, 4018, 4155, 16, 2640 ]
[ 1, 3202, 2332, 274, 633, 5982, 3021, 282, 15907, 633, 11339, 687, 248, 2110, 2332, 274, 671, 6129, 14, 368, 587, 4615, 248, 1903, 5982, 2374, 282, 6409, 633, 743, 5982, 11141, 1593, 16, 188, 4412, 512, 14, 1544, 248, 1903, 5982, 3681, 311, 8611, 1903, 14, 512, 368, 452, 282, 2014, 311, 8864, 633, 17635, 2332, 274, 633, 1193, 2501, 282, 751, 633, 5982, 4861, 16, 595, 1781, 974, 248, 1903, 5982, 3782, 311, 2449, 276, 254, 801, 1619, 282, 1336, 24320, 276, 254, 7246, 274, 615, 5982, 21448, 434, 1350, 16, 14168, 593, 1125, 24320, 276, 1619, 14, 248, 2165, 975, 311, 2961, 282, 2023, 1903, 5982, 9357, 276, 1316, 324, 254, 37889, 282, 7304, 5982, 282, 254, 12820, 255, 3233, 1093, 663, 403, 417, 7413, 343, 353, 16, 0, 1212, 2507, 25670, 2109, 328, 9902, 14, 7131, 14, 10247, 3083, 390, 2485, 13415, 16, 188, 30928, 13415, 428, 695, 2072, 1530, 14, 5535, 14, 286, 7923, 274, 254, 5008, 13415, 14, 695, 2365, 3551, 274, 4954, 286, 2417, 16, 188, 1212, 1305, 8325, 276, 4611, 1631, 390, 5866, 18334, 867, 15, 484, 314, 10059, 348, 2072, 5535, 2207, 14, 33057, 1305, 14, 2133, 4184, 286, 6905, 481, 0, 1253, 311, 6075, 46, 314, 39569, 3439, 4201, 5389, 6006, 188, 17122, 324, 38181, 3439, 4201, 5389, 14, 6075, 46, 311, 248, 1581, 274, 27475, 314, 24982, 3778, 11, 327, 452, 643, 42126, 390, 25351, 286, 403, 641, 3248, 3469, 16, 1993, 25351, 27475, 933, 641, 3248, 321, 17751, 407, 4242, 4076, 16, 0, 2300, 254, 1026, 274, 5983, 618, 801, 45370, 4244, 621, 343, 14101, 14, 310, 2144, 2362, 343, 28472, 366, 71, 16, 3805, 310, 452, 248, 3981, 274, 12055, 25984, 15534, 314, 19831, 2357, 19600, 15534, 581, 353, 369, 3364, 282, 2033, 254, 5266, 274, 28472, 366, 71, 276, 695, 21640, 825, 5381, 276, 45370, 35659, 16, 1268, 14, 387, 2110, 1110, 14, 254, 1491, 17, 82, 25211, 5266, 274, 28472, 366, 71, 28928, 479, 16, 188, 927, 295, 15, 14666, 404, 688, 26432, 274, 28472, 366, 71, 343, 25984, 15534, 16, 188, 1982, 368, 997, 387, 254, 3135, 495, 276, 254, 2838, 3006, 620, 274, 13408, 286, 1097, 6419, 14, 25948, 258, 892, 354, 462, 7118, 14, 368, 1782, 915, 436, 5266, 311, 4414, 1057, 282, 748, 434, 5447, 348, 347, 2313, 4367, 3175, 1097, 325, 985, 370, 54, 10, 35, 11, 426, 4930, 1850, 62, 2647, 16, 35, 558, 393, 2647, 64, 55, 3697, 188, 82, 25211, 6905, 274, 347, 2313, 256, 69, 422, 3175, 3340, 1097, 325, 4, 188, 3431, 8108, 1065, 311, 417, 248, 27092, 4740, 10450, 348, 28472, 366, 71, 16, 826, 311, 756, 324, 519, 15, 36373, 2024, 1393, 10450, 16, 188, 1130, 807, 321, 1594, 747, 436, 28, 28472, 366, 71, 13953, 16, 188, 263, 1503, 321, 248, 8319, 519, 15, 36373, 10450, 938, 6553, 282, 2939, 8108, 1065, 14, 532, 353, 1503, 321, 27092, 4576, 16, 0, 510, 4337, 452, 5261, 254, 36927, 4609, 14, 254, 18157, 4609, 286, 254, 3373, 5164, 274, 254, 21460, 274, 254, 8167, 16935, 652, 249, 2548, 268, 40965, 5094, 6689, 4061, 407, 254, 4740, 1350, 20091, 1308, 286, 1102, 327, 254, 8425, 5164, 274, 254, 21460, 497, 10587, 282, 1093, 274, 254, 2530, 4995, 16, 2640, 1633, 282, 8319, 4504, 14, 353, 311, 2696, 327, 254, 271, 5579, 273, 1308, 343, 248, 271, 5579, 273, 8114, 311, 6742, 683, 254, 4740, 1350, 20091, 324, 20091, 274, 254, 5094, 6689, 16, 496, 436, 1240, 14, 254, 8167, 16935, 652, 249, 2548, 268, 40965, 5094, 3382, 786, 497, 29654, 343, 15316, 15, 4643, 271, 5579, 273, 14129, 960, 254, 1017, 4155, 9689, 11887, 6402, 16, 8995, 14129, 497, 14831, 40, 338, 23, 314, 23749, 15, 13816, 15, 14183, 15, 36, 975, 581, 14831, 40, 495, 18, 314, 23749, 15, 14183, 15, 36, 975, 11, 286, 14831, 40, 719, 18, 314, 23749, 15, 50, 975, 11, 276, 254, 9292, 274, 576, 18, 21892, 16, 5328, 14, 2456, 274, 20091, 671, 14, 2471, 42513, 274, 254, 9173, 282, 321, 29654, 14, 286, 20091, 10542, 328, 254, 36927, 4609, 274, 254, 21460, 497, 6763, 16, 11194, 1508, 2709, 403, 348, 3517, 28, 314, 19, 11, 2028, 254, 5094, 3382, 786, 497, 29654, 324, 374, 286, 338, 18, 2819, 343, 14831, 40, 338, 23, 286, 14831, 40, 719, 18, 14, 254, 21460, 497, 45874, 387, 254, 29654, 8014, 328, 254, 36927, 1056, 16, 2028, 254, 5094, 3382, 786, 497, 29654, 324, 495, 18, 2819, 14, 2228, 14, 254, 36927, 4609, 274, 254, 21460, 369, 4679, 4363, 282, 327, 274, 254, 2530, 4995, 16, 1585, 254, 642, 1116, 14, 670, 254, 5094, 3382, 786, 497, 29654, 324, 374, 14, 338, 18, 286, 495, 18, 2819, 343, 14831, 40, 495, 18, 14, 512, 274, 254, 21460, 497, 45874, 276, 254, 2530, 4995, 328, 254, 36927, 1056, 16, 314, 20, 11, 2028, 254, 2471, 42513, 369, 374, 16, 21, 21892, 14, 254, 36927, 4609, 274, 254, 21460, 29654, 343, 14831, 40, 338, 23, 369, 4679, 4363, 282, 327, 274, 254, 2530, 4995, 16, 2028, 254, 2471, 42513, 369, 338, 21, 16, 27, 21892, 14, 2228, 14, 512, 274, 254, 21460, 497, 36927, 15, 72, 964, 1487, 387, 254, 29654, 8014, 974, 1330, 23212, 1114, 497, 4307, 387, 254, 3925, 274, 254, 29654, 8014, 16, 314, 21, 11, 380, 36927, 4609, 274, 254, 21460, 29654, 276, 1690, 252, 369, 248, 1612, 2330, 683, 327, 274, 254, 21460, 29654, 276, 11796, 343, 14831, 40, 338, 23, 286, 14831, 40, 719, 18, 16, 1678, 14, 254, 4609, 274, 254, 21460, 29654, 276, 2257, 369, 5967, 15028, 974, 254, 38545, 274, 7113, 497, 4061, 276, 254, 3925, 274, 254, 21563, 8014, 16, 1585, 254, 642, 1116, 14, 670, 254, 21460, 497, 29654, 343, 14831, 40, 495, 18, 276, 2257, 14, 276, 1690, 252, 14, 286, 276, 11796, 14, 512, 274, 254, 21460, 497, 36927, 15, 72, 964, 1487, 276, 254, 2530, 4995, 16, 314, 22, 11, 496, 254, 1068, 274, 14831, 40, 338, 23, 4368, 7113, 14, 254, 1017, 3909, 8014, 274, 7113, 369, 4307, 387, 254, 3925, 274, 254, 26154, 271, 5579, 273, 4995, 286, 7113, 20, 49 ]
[ 1, 274, 7956, 38974, 9161, 14, 17281, 16, 0, 18124, 28, 310, 650, 321, 3542, 387, 248, 1926, 5293, 4654, 16, 310, 457, 79, 248, 10215, 15, 17364, 14, 8760, 10399, 314, 4158, 4256, 1923, 581, 247, 5282, 3065, 3306, 663, 19354, 387, 1683, 343, 616, 2086, 314, 14045, 1021, 16599, 481, 310, 4126, 41634, 278, 457, 3580, 8732, 373, 286, 6068, 1091, 310, 18203, 35500, 14, 1218, 4945, 286, 4025, 15610, 286, 2094, 6109, 1205, 22717, 248, 36164, 457, 85, 4110, 276, 24503, 16, 310, 8033, 21577, 13846, 432, 11979, 23056, 747, 44249, 286, 5065, 3867, 5258, 14693, 16, 40262, 747, 353, 369, 5326, 282, 321, 14, 2427, 457, 86, 353, 33, 188, 57, 28445, 16, 3845, 274, 512, 14, 310, 457, 79, 25544, 12725, 282, 254, 1110, 830, 1129, 1444, 2489, 6362, 958, 479, 747, 248, 4523, 274, 17330, 19397, 276, 633, 26821, 8372, 16, 31050, 14, 254, 1926, 5278, 311, 20990, 16, 310, 14, 747, 1125, 2489, 14, 997, 282, 6068, 324, 272, 8545, 432, 618, 17395, 1464, 16, 1678, 14, 310, 1038, 457, 86, 747, 282, 8545, 282, 254, 1057, 1619, 348, 642, 16435, 618, 2289, 16, 188, 43, 2468, 8545, 282, 248, 3525, 3539, 3595, 12660, 14, 387, 1824, 417, 324, 248, 1205, 16, 5879, 311, 353, 593, 4489, 836, 1842, 33, 1664, 497, 286, 403, 642, 16395, 16, 731, 369, 29556, 25311, 532, 310, 457, 79, 2102, 8644, 2151, 16, 310, 1038, 457, 86, 872, 642, 942, 457, 85, 30764, 8476, 479, 747, 248, 45145, 274, 19250, 16, 188, 43, 573, 2996, 3831, 479, 248, 1926, 3970, 14, 3853, 353, 369, 14, 769, 14259, 6707, 1397, 2955, 310, 254, 756, 580, 663, 2427, 457, 86, 961, 282, 1218, 1594, 327, 587, 1767, 618, 1464, 33, 310, 15875, 457, 86, 1652, 671, 324, 327, 286, 14, 1002, 603, 310, 852, 14, 310, 457, 79, 1480, 1035, 22105, 977, 1012, 314, 264, 4895, 11338, 481, 188, 5705, 626, 457, 85, 254, 642, 1408, 276, 618, 1464, 663, 5961, 3989, 12370, 2080, 16, 310, 1218, 580, 3970, 286, 1205, 353, 369, 1157, 14, 310, 15875, 457, 86, 276, 38381, 4243, 576, 18, 21, 10266, 16, 310, 457, 79, 417, 2876, 19495, 387, 248, 6649, 286, 2732, 282, 6062, 327, 4110, 593, 3437, 479, 3690, 343, 633, 1926, 759, 41312, 925, 16, 188, 2515, 14, 748, 457, 85, 1628, 33, 310, 1102, 353, 343, 4966, 30452, 25359, 286, 769, 1435, 457, 85, 14104, 410, 32797, 2640, 29452, 5047, 666, 390, 14, 348, 33255, 5674, 353, 14, 769, 35, 17156, 2640, 29452, 5047, 1397, 17051, 35837, 2486, 1512, 11003, 16, 3006, 1033, 2835, 555, 282, 321, 22223, 286, 13753, 16, 2936, 2094, 6109, 403, 1512, 11003, 14, 14938, 25105, 2486, 1015, 1091, 6397, 974, 274, 254, 1026, 345, 11098, 254, 1499, 14, 417, 5577, 748, 4448, 16, 1664, 457, 85, 641, 671, 4149, 14, 641, 16395, 14, 641, 2314, 6109, 14, 641, 39866, 9282, 16, 1664, 457, 85, 811, 254, 7854, 274, 14938, 1464, 3082, 274, 522, 29408, 2878, 68, 28531, 4558, 282, 321, 12601, 324, 254, 1887, 3481, 16, 188, 510, 2094, 2835, 4659, 311, 3233, 22453, 974, 748, 4448, 282, 436, 2520, 274, 14209, 33, 7693, 403, 254, 4597, 4716, 1514, 286, 34926, 13883, 7867, 266, 274, 4829, 1362, 6068, 14, 9010, 432, 4966, 30452, 25359, 33, 310, 14349, 315, 4316, 248, 6649, 11336, 21916, 273, 38949, 668, 254, 18199, 274, 2094, 6109, 16, 330, 2196, 5324, 276, 1116, 14, 248, 389, 30168, 6765, 286, 248, 2094, 17047, 1215, 14886, 432, 1464, 16, 188, 1368, 476, 452, 633, 2342, 43018, 274, 19715, 14, 633, 610, 472, 1207, 2380, 286, 1959, 285, 286, 3106, 16, 7709, 479, 2996, 310, 476, 14190, 282, 14, 417, 248, 1926, 5293, 4221, 668, 3525, 3539, 3595, 14, 22559, 286, 24960, 16, 1583, 6524, 16, 188, 45200, 655, 423, 19373, 14, 37372, 31230, 2252, 15597, 314, 339, 368, 1623, 1521, 282, 865, 14, 1602, 581, 311, 248, 4602, 8185, 286, 7907, 324, 254, 4282, 16, 1469, 28520, 8728, 1789, 286, 10399, 7462, 14, 4221, 286, 7290, 5415, 286, 6415, 14, 286, 3899, 16, 5328, 14, 19827, 311, 248, 27549, 5232, 286, 28520, 12236, 22992, 842, 14908, 286, 3089, 16306, 276, 254, 9067, 16, 9175, 616, 561, 328, 7672, 387, 27041, 2252, 18655, 26, 18, 16, 0, 2614, 16, 676, 344, 1404, 1992, 3667, 16, 13434, 16, 250, 1091, 10294, 344, 1404, 6640, 1948, 2162, 374, 18, 19, 27, 401, 4178, 40984, 10151, 543, 10784, 529, 41, 30698, 5389, 1534, 38009, 15214, 1180, 10294, 344, 1404, 6640, 1948, 2162, 374, 18, 19, 27, 15, 20, 18, 15214, 7001, 16, 188, 21504, 344, 1404, 9901, 457, 85, 6640, 40328, 512, 13044, 3371, 324, 254, 10294, 344, 1404, 6640, 1948, 2162, 374, 18, 19, 27, 15, 20, 18, 16, 380, 8940, 663, 5441, 10294, 344, 1404, 6640, 1948, 2162, 374, 18, 19, 27, 452, 282, 4667, 338, 18, 13, 20, 1156, 432, 665, 7281, 4310, 16, 1822, 254, 8940, 403, 4972, 282, 1218, 436, 3802, 324, 512, 4139, 668, 10294, 344, 1404, 6640, 529, 41, 1948, 2162, 374, 18, 19, 27, 16, 380, 8940, 452, 282, 4503, 3783, 324, 10294, 344, 1404, 6640, 20662, 1948, 2162, 374, 18, 19, 27, 15, 20, 18, 432, 3449, 4282, 274, 6649, 16, 10294, 344, 1404, 6640, 20662, 1948, 2162, 374, 18, 19, 27, 7659, 276, 2470, 374, 18, 19, 27, 16, 188, 21504, 344, 1404, 6640, 324, 9901, 14456, 38677, 14, 33571, 24782, 87, 369, 11115, 276, 338, 27, 22, 26, 16, 10294, 344, 1404, 6640, 3290, 30318, 314, 18058, 11, 13151, 276, 29909, 14, 27484, 1256, 14, 35478, 14, 9289, 14, 36328, 1466, 286, 4243, 26793, 2049, 343, 254, 276, 9374, 947, 1511, 8946, 14, 4645, 276, 254, 4987, 274, 254, 6693, 14782, 14, 18459, 294, 286, 254, 8707, 11092, 14782, 16, 380, 9711, 274, 338, 27, 24, 26, 1091, 338, 27, 25, 26, 2950, 254, 3017, 274, 254, 6640, 343, 254, 9932, 274, 19655, 14, 22018, 286, 17207, 387, 254, 529, 41, 1245, 14, 286, 248, 1162, 274, 1470, 15, 22005, 314, 10784, 11, 13151, 16, 188, 2976, 254, 8940, 663, 5441, 282, 7325, 10294, 344, 1404, 6640, 1948, 2162, 15214 ]
[ 1, 1546, 1063, 14, 286, 1093, 573, 1845, 4634, 687, 963, 343, 1303, 15, 307, 1226, 23807, 16, 310, 3477, 836, 5340, 69, 1546, 248, 1603, 1090, 3502, 670, 580, 274, 618, 3732, 1143, 729, 14, 286, 310, 7434, 729, 3, 188, 510, 1157, 28, 380, 5340, 69, 1546, 403, 403, 6611, 286, 13962, 91, 14, 286, 1002, 452, 12594, 15, 349, 11723, 16206, 276, 254, 5711, 16, 380, 5711, 311, 2875, 282, 1041, 14, 10292, 368, 282, 818, 756, 1773, 286, 4032, 16, 1395, 807, 1002, 818, 624, 13962, 16206, 603, 368, 2980, 282, 321, 1623, 23727, 7129, 3, 188, 510, 2978, 28, 15597, 16, 310, 1141, 310, 4936, 2674, 370, 24, 324, 436, 5711, 16, 2003, 3032, 248, 2298, 16165, 282, 479, 14, 6349, 348, 353, 10741, 756, 338, 20, 5340, 69, 1546, 16, 1678, 14, 327, 807, 321, 624, 254, 9084, 274, 30242, 34852, 683, 36307, 29036, 30835, 16, 188, 2148, 688, 1865, 14, 10510, 310, 1041, 5340, 69, 1546, 14, 596, 1845, 1606, 282, 5291, 4214, 16, 310, 6139, 618, 16053, 1364, 802, 670, 310, 573, 282, 4564, 1919, 374, 13003, 15240, 5340, 69, 1546, 327, 310, 1143, 324, 618, 3224, 457, 85, 29474, 3027, 16, 826, 671, 14, 310, 2263, 254, 3171, 1051, 374, 23, 7555, 286, 29289, 254, 33888, 324, 668, 607, 2819, 3248, 683, 748, 369, 6930, 328, 254, 10464, 16, 1547, 2144, 561, 3834, 1849, 884, 26036, 286, 811, 28927, 2151, 328, 1708, 3, 188, 43, 1143, 34667, 33438, 273, 3082, 274, 7921, 273, 561, 1495, 370, 23, 324, 248, 3692, 265, 33438, 273, 5711, 16, 1822, 327, 457, 85, 1623, 276, 1093, 3692, 210, 11415, 45704, 311, 346, 3592, 255, 457, 85, 8392, 286, 12983, 7831, 4125, 8563, 16, 14963, 359, 792, 210, 11415, 311, 1845, 884, 2005, 1297, 286, 624, 13372, 1008, 14, 387, 1824, 276, 618, 4596, 16, 1223, 5745, 368, 513, 14, 3191, 1919, 432, 254, 36307, 29036, 30835, 9782, 5907, 36404, 273, 41883, 16, 731, 555, 254, 14849, 274, 26154, 884, 2005, 14, 286, 254, 13372, 311, 18647, 16, 310, 369, 593, 8814, 324, 327, 1830, 14, 286, 310, 8459, 353, 348, 3402, 348, 353, 4212, 254, 28993, 16, 731, 369, 593, 2978, 327, 310, 12862, 254, 2560, 476, 1919, 16, 188, 22880, 387, 785, 7434, 836, 5340, 69, 1546, 14, 3233, 254, 210, 11415, 16, 1583, 580, 1002, 3155, 596, 497, 29537, 1863, 310, 2117, 729, 16, 188, 4571, 25825, 4757, 286, 2653, 34297, 14, 5711, 1863, 5514, 16, 188, 9056, 671, 368, 403, 276, 248, 23509, 286, 276, 872, 274, 272, 3364, 26578, 14, 1574, 36307, 29036, 45704, 3, 0, 37, 451, 262, 324, 7096, 41302, 1509, 570, 751, 513, 5092, 12296, 460, 3783, 261, 451, 262, 996, 4039, 5177, 275, 545, 1542, 4753, 22992, 11979, 2111, 33223, 3783, 31964, 513, 5092, 12296, 460, 448, 5093, 31722, 3783, 16, 1334, 1181, 1042, 34571, 250, 2042, 343, 6329, 11979, 2111, 33223, 3783, 3684, 6564, 4349, 10849, 2111, 33223, 3783, 40818, 1689, 1362, 6564, 4349, 11979, 2111, 33223, 607, 18, 7704, 3783, 16, 399, 9108, 12296, 460, 3783, 296, 92, 513, 5092, 12296, 460, 17130, 3783, 10982, 6949, 261, 451, 262, 3783, 4349, 11979, 2111, 33223, 3783, 13096, 11979, 2111, 33223, 3783, 18892, 16, 22189, 5186, 2111, 33223, 3783, 40818, 10849, 476, 7377, 261, 451, 262, 3783, 9377, 11979, 2111, 33223, 3783, 4413, 47793, 3783, 41302, 1509, 570, 16, 4906, 816, 5479, 90, 3783, 513, 5092, 12296, 460, 1097, 1343, 24396, 3783, 1316, 6949, 261, 451, 262, 3783, 3783, 513, 5092, 12296, 460, 1640, 21540, 261, 451, 262, 996, 4039, 328, 614, 5177, 275, 641, 40162, 301, 16, 22189, 390, 3434, 256, 3783, 276, 40818, 513, 5092, 12296, 460, 3783, 17130, 4349, 5186, 2111, 33223, 3783, 10849, 513, 5092, 12296, 460, 1434, 498, 366, 324, 7096, 3783, 16, 331, 451, 262, 338, 18, 5605, 324, 7096, 4349, 5186, 2111, 33223, 3783, 816, 5479, 90, 4349, 3783, 476, 2866, 42728, 261, 451, 262, 996, 4039, 641, 40162, 301, 1316, 261, 451, 262, 3783, 343, 6131, 9045, 16, 14920, 4039, 513, 261, 451, 262, 641, 40162, 301, 261, 451, 262, 996, 4039, 5177, 275, 641, 40162, 301, 261, 451, 262, 996, 4039, 641, 40162, 301, 3783, 513, 5092, 12296, 460, 22637, 11979, 2111, 33223, 3783, 652, 404, 16, 1334, 1181, 1042, 34571, 250, 2042, 1269, 6329, 4349, 11979, 2111, 33223, 3783, 343, 6131, 9045, 10982, 11979, 261, 451, 262, 3783, 4349, 816, 5479, 90, 3783, 10849, 16, 655, 2625, 17872, 607, 18, 18, 7704, 3783, 42728, 996, 4039, 513, 261, 451, 262, 641, 40162, 301, 10849, 261, 451, 262, 11979, 3783, 261, 451, 262, 324, 7096, 3783, 40818, 261, 451, 262, 996, 4039, 5533, 67, 545, 1542, 4753, 22992, 261, 451, 262, 324, 7096, 276, 441, 67, 16, 9445, 273, 513, 5092, 12296, 460, 3783, 11979, 2111, 33223, 3783, 13096, 13259, 816, 5479, 90, 3783, 4349, 11979, 2111, 33223, 3783, 441, 67, 843, 1181, 1042, 34571, 250, 2042, 387, 9982, 73, 10166, 16, 22189, 4413, 47793, 41302, 1509, 570, 830, 282, 4349, 4413, 47793, 3783, 276, 41302, 1509, 570, 4349, 816, 5479, 90, 11979, 3783, 261, 451, 262, 3783, 324, 7096, 11979, 2111, 33223, 3783, 17130, 16, 9445, 1491, 261, 451, 262, 3783, 261, 451, 262, 324, 7096, 260, 2872, 42470, 513, 5092, 12296, 460, 3783, 19072, 261, 451, 262, 286, 2111, 33223, 324, 7096, 5177, 275, 261, 451, 262, 3783, 10010, 6805, 843, 1181, 34571, 250, 933, 883, 1354, 324, 248, 22047, 4915, 16, 655, 2625, 17872, 3783, 465, 20748, 258, 10849, 261, 451, 262, 27157, 324, 7096, 816, 5479, 90, 4075, 3783, 16, 188, 13542, 273, 2111, 33223, 432, 476, 2866, 814, 301, 582, 69, 13974, 69, 42495, 261, 10652, 4349, 26053, 248, 476, 2866, 814, 301, 582, 69, 13974, 69, 8634, 31051, 261, 451, 262, 10849, 476, 7377, 31964, 16, 3162, 376, 526, 12851, 274, 814, 301, 582, 69, 13974, 69, 830, 282, 4349, 261, 451, 262, 276, 26513, 8905, 13451, 814, 301, 582, 69, 13974, 69, 9982, 20093, 814, 301, 582, 69, 13974, 69, 1706, 1542, 814, 301, 582, 69, 13974, 69, 814, 301, 582, 69, 13974, 69, 286, 29619, 1403, 12501, 607, 18, 18, 7704, 495, 22637, 16 ]
[ 1, 18, 19, 20, 581, 354, 20718, 784, 67, 314, 20, 18, 19, 25, 581, 21891, 268, 989, 314, 20, 18, 18, 27, 581, 1948, 359, 314, 20, 18, 18, 26, 11, 286, 4906, 2595, 89, 314, 19, 27, 27, 27, 481, 24075, 14, 19338, 1840, 7583, 282, 5527, 286, 28567, 254, 5704, 274, 25843, 27061, 16, 3688, 14, 436, 2838, 348, 30515, 282, 2848, 254, 2165, 3265, 2124, 25843, 27061, 276, 2349, 274, 19338, 286, 7131, 276, 4136, 416, 2031, 10663, 3551, 274, 34044, 16, 188, 1516, 2838, 555, 1652, 763, 16111, 28, 2025, 286, 2107, 16111, 14, 1081, 274, 729, 403, 4618, 10953, 758, 16, 188, 510, 4440, 7889, 274, 254, 2838, 311, 282, 8117, 254, 15500, 8112, 274, 254, 25843, 27061, 276, 7956, 416, 2031, 10663, 3551, 274, 34044, 14, 2049, 254, 378, 759, 22322, 87, 15, 4418, 5154, 15, 33735, 24612, 22071, 7420, 16, 188, 11228, 1392, 254, 3552, 4874, 878, 659, 282, 254, 4116, 274, 25843, 27061, 276, 4136, 34044, 16, 188, 1516, 745, 15, 4530, 4107, 254, 16221, 328, 254, 2479, 21519, 984, 7003, 276, 1631, 1565, 14, 1735, 286, 9357, 16, 731, 669, 8497, 282, 17533, 254, 4445, 2983, 17807, 324, 931, 4698, 248, 963, 348, 11055, 276, 5028, 10390, 343, 254, 17858, 4152, 5575, 274, 254, 378, 759, 22322, 87, 15, 3987, 5154, 15, 33735, 24612, 22071, 7420, 16, 188, 1516, 2838, 46020, 272, 4521, 796, 2479, 21519, 14, 533, 4927, 682, 328, 286, 7526, 282, 4521, 254, 5077, 274, 8821, 27061, 286, 295, 15, 11365, 274, 27061, 457, 6704, 16, 1180, 427, 1588, 256, 4548, 314, 20, 18, 18, 21, 28, 495, 20, 581, 4521, 796, 2479, 21519, 769, 7615, 14108, 4541, 1910, 3753, 939, 6754, 8227, 1397, 1260, 248, 2479, 21519, 14, 4521, 40677, 12709, 6437, 276, 5719, 282, 254, 21662, 274, 254, 16488, 758, 5672, 1205, 695, 47667, 1918, 21871, 669, 2263, 17346, 4541, 314, 4177, 303, 1348, 14, 374, 18, 19, 20, 581, 533, 10482, 1181, 343, 254, 3861, 43636, 2079, 274, 1815, 16, 3688, 14, 436, 21519, 3112, 282, 8987, 254, 8227, 274, 254, 2135, 25843, 27061, 328, 254, 1240, 7420, 16, 188, 1516, 2838, 6907, 15065, 328, 248, 17754, 2479, 2150, 286, 5535, 14, 7465, 276, 15, 16257, 12534, 14, 2165, 35665, 12534, 286, 7120, 16, 1993, 2983, 497, 6904, 276, 17695, 254, 2472, 274, 1004, 274, 254, 27061, 276, 1665, 274, 15410, 286, 19338, 276, 25843, 1444, 254, 4099, 22071, 4235, 16, 380, 732, 25002, 662, 266, 274, 254, 1240, 497, 7110, 939, 44214, 422, 10218, 1707, 328, 615, 8227, 14, 2634, 3520, 286, 1245, 274, 14625, 276, 5719, 282, 25843, 27061, 286, 615, 4116, 328, 254, 7420, 16, 188, 510, 276, 15, 16257, 12534, 497, 2828, 343, 254, 15141, 274, 4741, 5913, 14, 4741, 21895, 457, 12143, 387, 1922, 1245, 14, 3015, 15141, 286, 2958, 286, 1321, 2103, 4584, 9737, 16, 380, 276, 15, 16257, 12534, 669, 5937, 254, 8388, 9630, 14, 14654, 14, 286, 15141, 274, 254, 2416, 15, 9301, 20629, 16, 9763, 35665, 12534, 497, 1143, 343, 254, 6166, 276, 254, 8821, 5403, 1248, 286, 378, 459, 664, 274, 16678, 286, 11674, 1186, 276, 254, 3206, 19231, 2016, 274, 473, 409, 570, 286, 10310, 14324, 3206, 995, 3467, 18355, 3546, 620, 16, 380, 2194, 3778, 274, 276, 15, 16257, 12534, 497, 338, 20, 543, 26, 10515, 286, 576, 10471, 63, 1205, 254, 2165, 15, 36224, 1086, 12534, 497, 4674, 561, 343, 848, 9804, 14, 561, 274, 533, 626, 369, 756, 248, 1956, 2185, 16, 188, 686, 1596, 14, 1631, 7120, 497, 17807, 286, 900, 348, 248, 1308, 282, 37551, 4052, 931, 5563, 939, 276, 15, 16257, 12534, 286, 2165, 35665, 12534, 16, 496, 45901, 521, 3337, 343, 254, 3505, 931, 5085, 4420, 939, 17754, 1631, 1565, 5445, 14, 254, 2838, 669, 15065, 328, 254, 2207, 274, 5210, 6987, 286, 11494, 16, 380, 32540, 1735, 369, 254, 1964, 1308, 900, 282, 4319, 561, 254, 1735, 274, 254, 3505, 931, 16, 188, 510, 378, 759, 22322, 87, 1091, 4418, 5154, 428, 8976, 24612, 22071, 7420, 314, 2753, 338, 11, 10665, 254, 3506, 286, 8698, 30038, 276, 254, 9148, 3546, 620, 14, 9157, 25372, 14, 286, 3206, 4762, 16, 188, 510, 7420, 11209, 276, 254, 10378, 13303, 274, 473, 409, 570, 3206, 19231, 2341, 286, 10310, 14324, 14, 3206, 995, 286, 3467, 18355, 3206, 19231, 2341, 16, 3774, 9148, 12850, 462, 12111, 14, 9148, 17711, 4548, 403, 25843, 21122, 4235, 276, 473, 409, 570, 14, 411, 23105, 15, 7278, 293, 286, 8976, 24612, 5499, 282, 10310, 14324, 14, 3206, 995, 14, 286, 3467, 18355, 19231, 2341, 314, 53, 8281, 3072, 481, 1664, 403, 24096, 3506, 286, 8698, 25843, 30038, 276, 254, 763, 3746, 9670, 10378, 2957, 276, 254, 545, 12501, 786, 274, 254, 18433, 22071, 4235, 16, 188, 2432, 452, 643, 248, 1162, 274, 25843, 8660, 286, 27061, 276, 1004, 274, 254, 8821, 25843, 4235, 328, 254, 7420, 16, 1993, 2408, 20794, 14, 21556, 2431, 14, 46574, 14, 4741, 8919, 14, 4741, 21895, 286, 31272, 16, 188, 1725, 908, 1211, 14, 13918, 1635, 282, 27061, 6706, 2362, 31672, 16, 31800, 314, 19, 27, 26, 22, 11, 369, 254, 580, 663, 5447, 254, 4333, 274, 27061, 276, 4184, 286, 26012, 3514, 348, 665, 1999, 390, 1361, 663, 476, 2730, 254, 5715, 434, 2949, 390, 663, 311, 5709, 407, 254, 19224, 274, 254, 5833, 434, 16111, 16, 4925, 14, 1599, 7759, 252, 314, 19, 27, 27, 23, 11, 6914, 27061, 348, 14035, 533, 2411, 1996, 12481, 19987, 390, 44707, 7838, 282, 665, 513, 721, 274, 254, 5833, 533, 23758, 248, 2417, 282, 729, 276, 688, 390, 642, 1026, 16, 188, 30505, 819, 348, 5438, 45348, 1145, 16, 268, 314, 20, 18, 18, 20, 11, 37512, 615, 35402, 620, 274, 25843, 27061, 1626, 273, 615, 22197, 328, 254, 8815, 3516, 407, 1928, 14324, 3525, 11674, 1186, 16788, 314, 3908, 57, 6871, 11, 348, 25843, 27061, 16, 496, 615, 4596, 14, 27061, 276, 25843, 6216, 25843, 12101, 14, 1321, 8826, 14, 348, 963, 348, 254, 2243, 286, 3310, 16, 496, 1596, 14, 1564, 2315, 286, 4153, 286, 276, 1748, 1922, 8583, 286, 24174, 2315, 14, 669, 872, 1432, 8747, 348, 27061, 276, 615 ]
[ 1, 278, 2157, 16, 21862, 188, 2855, 278, 2157, 16, 13000, 188, 2855, 278, 2157, 16, 1554, 188, 2855, 278, 2157, 16, 6048, 188, 2855, 278, 2157, 16, 5619, 256, 22720, 188, 2855, 278, 2157, 16, 84, 2137, 188, 2855, 278, 2157, 16, 5619, 256, 38417, 188, 2855, 278, 2157, 16, 5619, 256, 318, 14013, 188, 2855, 278, 2157, 16, 5619, 10424, 16, 21356, 16, 38, 4732, 13512, 188, 2855, 278, 2157, 16, 5619, 10424, 16, 21356, 16, 5773, 188, 2855, 278, 2157, 16, 5619, 10424, 16, 21356, 16, 52, 6281, 2354, 188, 2855, 278, 2157, 16, 5619, 10424, 16, 21356, 16, 48, 20248, 188, 2855, 278, 2157, 16, 5619, 10424, 16, 21356, 16, 48, 20248, 21, 188, 2855, 278, 2157, 16, 5619, 10424, 16, 21356, 16, 48, 20248, 21, 23514, 534, 188, 2360, 906, 18831, 38430, 10, 70, 2157, 16, 21862, 16, 38, 4732, 5173, 2192, 477, 11916, 20690, 1659, 603, 272, 5764, 311, 417, 4376, 44438, 477, 1477, 188, 188, 2360, 40849, 30030, 10, 70, 2157, 16, 21862, 16, 38, 4732, 5173, 2192, 477, 11916, 510, 28405, 20248, 10828, 311, 11751, 44438, 477, 1477, 188, 188, 2360, 427, 20248, 21, 18467, 1273, 10, 70, 2157, 16, 21862, 16, 38, 4732, 5173, 2192, 477, 11916, 18467, 1273, 369, 5036, 276, 555, 739, 7109, 4314, 44438, 477, 1477, 188, 188, 5, 28405, 20248, 5764, 3778, 14, 2474, 282, 31621, 1298, 6093, 188, 5, 3817, 1333, 2614, 16, 8730, 16, 2000, 17, 27706, 932, 17, 70, 2157, 15, 1662, 15, 12896, 15, 39366, 17, 70, 2157, 15, 1662, 15, 12896, 15, 39366, 16, 7038, 188, 6281, 46181, 23, 426, 338, 1800, 29567, 188, 13066, 426, 374, 188, 38, 4433, 426, 495, 188, 6281, 1675, 9847, 19, 426, 607, 188, 5773, 1505, 20248, 21, 23097, 19, 426, 719, 188, 6281, 1675, 9847, 19, 48, 20248, 21, 23097, 19, 426, 813, 188, 6281, 1675, 9847, 20, 23, 24, 426, 848, 188, 6281, 1675, 9847, 23, 19, 20, 426, 338, 18, 188, 39, 2564, 10709, 1244, 426, 338, 20, 188, 35559, 53, 2026, 20, 23, 24, 23097, 20, 23, 24, 426, 338, 21, 188, 35559, 53, 2026, 21, 26, 22, 23097, 21, 26, 22, 426, 338, 22, 188, 9555, 43, 18009, 426, 374, 23, 20, 188, 3072, 3147, 11341, 4732, 426, 374, 23, 21, 188, 3072, 43097, 36794, 426, 374, 23, 22, 188, 188, 5, 28405, 13512, 11869, 188, 38, 4732, 13512, 65, 12545, 65, 31438, 426, 470, 188, 38, 4732, 13512, 65, 12545, 65, 60, 10854, 13512, 426, 374, 23, 24, 188, 38, 4732, 13512, 65, 12545, 65, 2282, 50, 426, 338, 1800, 44400, 5690, 1110, 188, 188, 5, 427, 20248, 21, 3482, 2474, 282, 31621, 1298, 6093, 28, 188, 5, 3817, 1333, 2614, 16, 8730, 16, 2000, 17, 27706, 932, 17, 70, 2157, 1662, 15, 80, 1662, 21, 15, 21369, 17, 70, 2157, 1662, 15, 80, 1662, 21, 15, 21369, 16, 7038, 188, 48, 20248, 21, 65, 1520, 41, 65, 23097, 19, 426, 338, 188, 48, 20248, 21, 65, 12545, 65, 31438, 426, 470, 188, 48, 20248, 21, 65, 12545, 65, 18361, 7117, 426, 338, 534, 188, 65, 39906, 65, 1578, 65, 1139, 426, 550, 477, 684, 6281, 46181, 23, 9, 1146, 23538, 46181, 23, 14, 7915, 684, 13066, 9, 1146, 22175, 14, 477, 684, 38, 4433, 9, 1146, 399, 4433, 14, 477, 684, 6281, 1675, 9847, 19, 9, 1146, 23538, 1675, 9847, 19, 14, 477, 684, 5773, 1505, 20248, 21, 23097, 19, 9, 1146, 20189, 1505, 20248, 21, 23097, 19, 14, 477, 684, 6281, 1675, 9847, 19, 48, 20248, 21, 23097, 19, 9, 1146, 23538, 1675, 9847, 19, 48, 20248, 21, 23097, 19, 14, 477, 684, 6281, 1675, 9847, 20, 23, 24, 9, 1146, 23538, 1675, 9847, 20, 23, 24, 14, 477, 684, 6281, 1675, 9847, 23, 19, 20, 9, 1146, 23538, 1675, 9847, 23, 19, 20, 14, 477, 684, 39, 2564, 10709, 1244, 9, 1146, 444, 2564, 10709, 1244, 14, 477, 684, 35559, 53, 2026, 20, 23, 24, 23097, 20, 23, 24, 9, 1146, 444, 3593, 53, 2026, 20, 23, 24, 23097, 20, 23, 24, 14, 477, 684, 35559, 53, 2026, 21, 26, 22, 23097, 21, 26, 22, 9, 1146, 444, 3593, 53, 2026, 21, 26, 22, 23097, 21, 26, 22, 14, 477, 684, 9555, 43, 18009, 9, 1146, 45917, 14, 477, 684, 3072, 3147, 11341, 4732, 9, 1146, 4509, 3147, 11341, 4732, 14, 477, 684, 3072, 43097, 36794, 9, 1146, 4509, 43097, 36794, 14, 477, 744, 188, 188, 5, 839, 3861, 254, 13364, 10327, 2024, 32625, 282, 5256, 327, 360, 188, 5, 2468, 1041, 665, 16049, 314, 71, 16, 73, 16, 47888, 14, 2541, 15, 395, 15, 22441, 6160, 11, 327, 188, 5, 650, 2759, 254, 10327, 417, 282, 321, 1972, 13364, 16, 188, 188, 65, 39906, 65, 1578, 65, 2788, 426, 10603, 8622, 10, 91, 14, 1246, 11, 324, 1246, 14, 341, 276, 791, 39906, 65, 1578, 65, 1139, 16, 2480, 15135, 1067, 3185, 188, 188, 1510, 5764, 65, 3933, 65, 1139, 10, 1139, 2192, 477, 11916, 15136, 2426, 713, 248, 28405, 20248, 5764, 1294, 477, 1196, 84, 875, 28, 539, 31311, 1465, 1294, 426, 791, 39906, 65, 1578, 65, 1139, 16, 784, 10, 1139, 16, 22970, 6472, 477, 603, 1294, 311, 8037, 28, 647, 1294, 426, 539, 10, 1139, 11, 477, 1076, 1294, 188, 188, 1510, 5764, 65, 927, 65, 1139, 10, 2788, 2192, 477, 11916, 15136, 248, 28405, 20248, 5764, 1294, 282, 2426, 477, 1196, 84, 875, 28, 2787, 31311, 1465, 2426, 426, 791, 39906, 65, 1578, 65, 2788, 16, 784, 10, 2788, 11, 477, 603, 2426, 311, 8037, 28, 647, 2426, 426, 1195, 10, 2788, 11, 477, 1076, 2426, 188, 188, 1510, 791, 927, 65, 84, 2137, 10, 14927, 14, 6336, 2192, 477, 257, 426, 261, 2689, 6353, 16, 2689, 6353, 1067, 477, 1868, 16, 927, 65, 21619, 10, 85, 14, 6336, 31, 26485, 11, 477, 1076, 257, 16, 784, 2788, 1067, 188, 188, 1510, 2165, 65, 302, 10, 2290, 14, 6336, 31, 11033, 2192, 477, 391, 2137, 426, 791, 927, 65, 84, 2137, 10, 2290, 14, 6336, 11, 477, 2194, 426, 470, 477, 324, 883, 276, 2413, 10, 4874, 10, 84, 2137, 11, 1355, 374, 2192, 647, 2194 ]
[ 1, 647, 1076, 46268, 25178, 804, 751, 65, 10255, 10, 1262, 14, 863, 249, 1314, 2192, 647, 5337, 426, 25509, 6726, 3226, 90, 3839, 65, 4519, 65, 251, 16, 8757, 10, 3935, 249, 1314, 11, 647, 603, 5337, 28, 926, 1032, 1554, 426, 5337, 16, 4259, 10, 19, 11, 926, 1032, 15713, 426, 539, 10, 6785, 16, 4259, 10, 20, 1210, 428, 338, 926, 26153, 426, 470, 926, 324, 1032, 276, 1827, 3226, 13487, 28, 1003, 603, 45442, 10, 294, 14, 25509, 6726, 11, 286, 1032, 3226, 1554, 2224, 1032, 1554, 28, 2498, 603, 1032, 15713, 2224, 26153, 28, 3986, 1076, 1032, 2498, 1952, 28, 3986, 26153, 6892, 338, 926, 6975, 14379, 5295, 4608, 21539, 85, 417, 31693, 276, 2384, 84, 449, 2384, 314, 294, 1554, 14, 1827, 1210, 647, 1952, 28, 926, 324, 1401, 276, 1827, 3226, 13487, 28, 1003, 603, 1401, 16, 8757, 3839, 10, 3935, 249, 1314, 2192, 2498, 1076, 1401, 647, 6975, 14379, 5295, 4608, 21539, 85, 417, 1102, 276, 2384, 84, 449, 2384, 314, 3935, 249, 1314, 14, 1827, 1210, 1465, 804, 3483, 10, 1262, 14, 1032, 2360, 2192, 647, 11916, 15525, 27821, 327, 9773, 682, 687, 1581, 274, 3483, 10752, 1032, 2360, 31311, 647, 1076, 16007, 22076, 10, 1262, 14, 1032, 2360, 11, 1465, 804, 751, 455, 10, 1262, 14, 1032, 2360, 14, 6682, 31, 3958, 564, 14, 4672, 31, 11033, 2192, 647, 603, 4672, 311, 8037, 28, 926, 4698, 426, 7954, 647, 1952, 28, 926, 4698, 426, 4672, 1800, 933, 321, 248, 1581, 647, 324, 1032, 276, 1827, 3226, 13487, 28, 926, 603, 45442, 10, 294, 14, 1032, 2360, 2192, 1003, 4698, 16, 9436, 10, 294, 11, 926, 603, 6682, 2170, 470, 28, 1003, 1032, 16, 784, 455, 10, 294, 2360, 14, 6682, 15, 19, 14, 4698, 11, 647, 1076, 4698, 1465, 804, 1074, 10, 1262, 14, 1032, 2360, 14, 1375, 1559, 723, 85, 2192, 647, 324, 10644, 276, 1827, 3226, 13487, 28, 926, 603, 45442, 10, 9097, 14, 1032, 2360, 2192, 1003, 603, 1827, 3226, 1559, 723, 85, 65, 8757, 10, 9097, 14, 857, 723, 85, 2192, 2498, 1076, 10644, 647, 1076, 8037, 1465, 804, 791, 1559, 723, 85, 65, 8757, 10, 1262, 14, 10644, 14, 857, 723, 7888, 2192, 647, 324, 247, 1554, 14, 247, 1190, 276, 857, 723, 7888, 16, 15135, 14439, 926, 1574, 28, 1003, 603, 751, 9321, 10, 9097, 14, 247, 1554, 11, 3493, 247, 1190, 28, 2498, 1076, 470, 926, 3584, 40444, 4608, 28, 1003, 1076, 470, 647, 1076, 338, 1465, 804, 751, 65, 1139, 10, 1262, 2192, 647, 603, 417, 1827, 16, 32800, 3376, 17612, 46, 390, 1827, 16, 32800, 3376, 17612, 46, 16, 262, 65, 10719, 14439, 926, 1076, 347, 347, 647, 1952, 28, 926, 7430, 426, 1827, 16, 784, 455, 10, 4173, 14, 2694, 564, 11, 926, 1076, 347, 3333, 13575, 10, 4113, 10, 2190, 257, 28, 257, 16, 784, 65, 1139, 5550, 7430, 1210, 1465, 1800, 1558, 5295, 15, 2927, 3357, 477, 804, 4245, 10, 1262, 2192, 647, 1076, 1827, 16, 784, 455, 10, 18621, 14, 2694, 564, 11, 1465, 804, 2426, 10, 1262, 2192, 647, 1076, 1827, 16, 784, 455, 10, 4173, 14, 2694, 564, 11, 1465, 804, 5009, 65, 48094, 10, 1262, 2192, 647, 1076, 1827, 16, 784, 455, 10, 46605, 10272, 2619, 14, 2694, 564, 11, 1465, 804, 4522, 10, 1262, 2192, 647, 1076, 1827, 16, 784, 455, 10, 6863, 6726, 14, 2694, 564, 11, 534, 188, 2360, 16007, 22076, 10, 5912, 2192, 477, 804, 4623, 4338, 21257, 1262, 14, 4522, 14, 1032, 2360, 2192, 647, 1827, 16, 6048, 426, 4522, 647, 1827, 16, 294, 2360, 426, 1032, 2360, 647, 1827, 16, 75, 426, 470, 1465, 804, 4623, 2480, 21257, 1262, 2192, 647, 1076, 1827, 1465, 804, 1689, 10, 1262, 2192, 647, 1205, 338, 28, 926, 1574, 28, 1003, 296, 426, 1827, 16, 6048, 61, 1262, 16, 75, 63, 926, 3584, 12834, 4608, 28, 1003, 6975, 20668, 15194, 319, 926, 1827, 16, 75, 6892, 338, 926, 603, 45442, 10, 80, 14, 1032, 2360, 2192, 1003, 2654, 647, 1076, 296, 534, 188, 1510, 1074, 65, 25563, 10, 6048, 14, 1032, 2360, 2192, 477, 603, 45442, 10, 6048, 14, 1032, 2360, 2192, 647, 4766, 4522, 477, 324, 1401, 276, 4522, 16, 784, 65, 13487, 14439, 647, 324, 261, 80, 276, 1074, 65, 25563, 10, 6816, 14, 1032, 2360, 2192, 926, 4766, 261, 80, 477, 1076, 534, 188, 2360, 1825, 357, 932, 10, 6863, 6726, 2192, 477, 11916, 4460, 357, 932, 311, 248, 2628, 16576, 956, 282, 2120, 684, 4077, 582, 9, 42478, 13863, 16, 477, 2003, 311, 14, 9625, 274, 42478, 327, 1038, 625, 452, 248, 1794, 8553, 314, 71, 16, 73, 16, 417, 276, 477, 5076, 3179, 481, 210, 731, 311, 20015, 44438, 477, 804, 4623, 1320, 21257, 1262, 2192, 647, 1076, 1827, 16, 25087, 10, 1262, 3226, 26726, 11, 1465, 804, 21877, 10, 1262, 14, 9451, 2192, 647, 257, 426, 7954, 647, 3588, 10, 85, 16, 9436, 14, 3588, 10, 2190, 259, 28, 259, 16, 25087, 10, 26726, 581, 1827, 3226, 13487, 1210, 647, 1076, 347, 3333, 13575, 10, 85, 11, 1465, 804, 24689, 10, 1262, 14, 7744, 14, 9451, 31, 11033, 2192, 647, 3588, 10, 2190, 259, 28, 259, 16, 34650, 10, 4637, 14, 9451, 581, 1827, 3226, 13487, 11, 1465, 804, 3637, 3839, 10, 1262, 14, 863, 249, 1314, 2192, 647, 1076, 16247, 2670, 188, 2360, 3006, 319, 10, 5912, 2192, 477, 804, 4623, 4338, 21257, 1262, 14, 1390, 14, 13021, 302, 14, 11555, 302, 2192, 647, 1827, 16, 1554, 426, 1390, 647, 1827, 16, 4247, 426, 13021, 302, 647, 1827, 16, 10124, 426, 11555, 302, 1465, 804, 4623, 1320, 21257, 1262, 2192, 647, 603, 1827, 16, 10124, 28, 926, 1076, 16795, 85, 2384, 85, 4, 2384, 314, 1262, 16, 4247, 14, 1827, 16, 10124, 11, 647, 1952, 28, 926, 1076, 1827, 16, 4247, 1465, 804, 4623, 251, 1072, 21257, 1262, 2192, 647, 502, 426, 1827, 24051, 2360, 870, 647, 1076, 16795, 85, 47812, 85, 23925, 84, 14, 2384, 84, 14, 2384, 84, 6662, 2384, 314, 498, 24051, 8414, 29646, 502, 24051, 1554, 29646, 2498, 1827, 16, 1554, 14, 1827, 16, 4247, 14, 1827, 16, 10124, 11, 534, 188, 2360, 33432, 16508 ]
[ 1, 2317, 368, 476, 889, 14, 286, 688, 642, 22550, 272, 6329, 3526, 5407, 476, 1305, 368, 343, 16, 1286, 368, 961, 248, 3894, 29748, 4533, 4400, 14, 751, 633, 16151, 286, 29176, 353, 407, 4175, 16, 826, 587, 1862, 368, 272, 6465, 274, 843, 2917, 1464, 6329, 3526, 368, 872, 16, 188, 12622, 417, 1359, 328, 254, 5157, 1464, 6329, 6844, 5532, 11834, 407, 633, 10875, 16, 380, 5885, 5740, 407, 254, 2214, 1988, 5157, 1464, 6329, 3526, 5495, 327, 7223, 4273, 811, 1354, 561, 1503, 417, 10242, 512, 633, 14486, 6329, 5925, 16, 5066, 14, 603, 368, 3408, 633, 4686, 14, 368, 5271, 403, 7390, 282, 1354, 633, 14486, 6329, 3526, 2035, 343, 368, 16, 188, 12963, 12864, 282, 751, 7702, 328, 5634, 2237, 274, 9347, 16, 11763, 6329, 7617, 15806, 3831, 13104, 387, 10827, 13420, 274, 5885, 327, 807, 5288, 597, 23504, 368, 7852, 16, 3646, 974, 368, 452, 1143, 254, 2964, 327, 580, 4150, 27124, 2537, 14, 18, 18, 18, 311, 512, 254, 5885, 368, 961, 14, 1042, 417, 5070, 368, 9828, 625, 751, 14790, 328, 642, 2237, 811, 276, 25842, 16, 188, 9437, 15793, 4325, 1464, 6329, 6844, 324, 11375, 2672, 282, 5166, 248, 2187, 624, 7852, 16, 1664, 403, 4273, 533, 4681, 248, 6207, 1962, 324, 248, 2103, 5885, 2035, 16, 826, 587, 5166, 368, 9604, 8688, 348, 6111, 348, 27141, 368, 248, 3564, 6844, 324, 633, 22060, 1400, 4254, 16, 188, 10013, 561, 248, 7363, 282, 5256, 327, 368, 751, 2151, 1464, 6329, 7617, 5885, 16, 731, 476, 321, 20990, 282, 1852, 282, 9906, 254, 2107, 10393, 274, 6329, 368, 872, 16, 24075, 14, 353, 434, 1438, 282, 9806, 368, 1920, 1919, 432, 18847, 1938, 328, 603, 368, 513, 436, 3196, 16, 3646, 1354, 713, 2320, 2546, 4665, 836, 9104, 274, 348, 15402, 9852, 10480, 390, 16489, 14, 286, 11519, 10480, 16, 1395, 933, 669, 2120, 276, 2482, 327, 626, 807, 321, 1034, 1283, 33027, 436, 3563, 274, 348, 2103, 4584, 33796, 286, 14655, 327, 961, 282, 321, 19594, 324, 16, 188, 12510, 5585, 274, 254, 21047, 2863, 274, 1464, 5585, 4188, 603, 353, 7573, 311, 3443, 407, 633, 6329, 7617, 5833, 16, 826, 1464, 6329, 5585, 4343, 254, 3526, 11071, 282, 751, 248, 1921, 494, 2332, 274, 254, 2393, 6179, 274, 254, 6844, 14, 276, 254, 9809, 274, 248, 8130, 42485, 420, 16, 826, 476, 9404, 254, 18859, 282, 889, 436, 5485, 282, 2408, 3265, 836, 9104, 274, 348, 11405, 4665, 14, 5497, 1914, 4466, 14, 248, 17608, 14, 1683, 6981, 932, 390, 15487, 5655, 16, 188, 1630, 11043, 6329, 311, 272, 5224, 327, 1339, 321, 328, 633, 347, 927, 15820, 4, 1581, 16, 1395, 587, 7573, 1872, 1181, 1755, 26103, 368, 403, 20802, 633, 1963, 16, 0, 33735, 4211, 40516, 3653, 457, 85, 2964, 282, 3437, 254, 7580, 27681, 13908, 807, 1394, 282, 36923, 7742, 1767, 14, 1577, 7365, 713, 248, 289, 832, 1288, 8631, 747, 34847, 16, 188, 510, 32724, 3978, 281, 382, 11837, 8976, 4211, 555, 13925, 327, 3653, 457, 85, 2964, 282, 3660, 1924, 561, 274, 254, 7580, 27681, 13908, 807, 1394, 282, 36923, 7742, 1767, 14, 286, 1577, 7365, 713, 248, 289, 832, 1288, 8631, 747, 34847, 16, 9598, 1722, 14, 3653, 5968, 327, 254, 1924, 650, 321, 47674, 432, 254, 7580, 27681, 13908, 14, 533, 4679, 374, 18, 18, 12053, 452, 5656, 282, 3694, 4022, 17860, 286, 16942, 407, 8270, 6143, 14429, 16, 750, 749, 254, 45553, 457, 85, 7057, 807, 1649, 769, 779, 1924, 6795, 387, 13467, 1397, 1268, 8976, 4211, 555, 13925, 327, 3653, 457, 85, 2964, 807, 452, 1167, 8863, 16, 188, 686, 272, 4429, 343, 254, 15071, 6145, 14, 8976, 4211, 749, 769, 1212, 403, 2722, 282, 254, 247, 7984, 1110, 830, 4022, 17860, 4765, 36923, 16, 3653, 457, 85, 2181, 807, 7254, 254, 7365, 687, 254, 1284, 746, 14, 282, 2411, 747, 34847, 14, 343, 248, 3171, 274, 763, 4150, 286, 13347, 7555, 14, 286, 1200, 1657, 32004, 42354, 3412, 16, 27681, 1767, 311, 580, 274, 254, 1247, 25064, 360, 2377, 14, 286, 353, 457, 85, 580, 360, 476, 3536, 603, 360, 765, 1012, 16, 2807, 14224, 254, 1885, 324, 7742, 1767, 14, 286, 13864, 561, 274, 254, 7580, 27681, 13908, 14, 9786, 3653, 587, 2759, 3570, 494, 6752, 4577, 282, 772, 5230, 8631, 14, 980, 605, 2093, 254, 3506, 1499, 14, 324, 441, 286, 772, 2086, 1397, 380, 20318, 1663, 348, 8976, 4211, 44562, 520, 813, 23, 394, 13957, 16, 188, 43, 2033, 327, 46099, 4211, 311, 2696, 254, 1499, 457, 85, 6873, 383, 1910, 9091, 14, 532, 311, 345, 2731, 387, 254, 2560, 5246, 33, 310, 1480, 369, 9600, 407, 3653, 457, 85, 2964, 14, 532, 345, 311, 2732, 282, 1920, 254, 2371, 1321, 432, 1129, 254, 1499, 457, 85, 658, 2189, 2118, 256, 286, 1129, 19271, 16, 543, 285, 360, 3673, 403, 1534, 731, 4476, 327, 2304, 360, 1574, 282, 1431, 597, 324, 9113, 14, 360, 2411, 254, 2714, 13975, 5435, 14960, 188, 2943, 1201, 36268, 3446, 769, 510, 496, 584, 1238, 844, 23162, 7324, 852, 345, 14687, 282, 4017, 942, 327, 520, 34068, 276, 23959, 4504, 348, 1181, 543, 339, 417, 624, 63, 2269, 276, 580, 1722, 348, 254, 3278, 11375, 4504, 276, 580, 802, 33, 1583, 14, 345, 1848, 457, 86, 1091, 2486, 626, 641, 1887, 332, 746, 668, 327, 1091, 369, 626, 33, 188, 43, 369, 1869, 248, 2714, 12243, 15, 74, 809, 1048, 457, 888, 670, 353, 369, 3136, 44935, 282, 321, 7317, 668, 254, 3026, 16, 8873, 1002, 310, 476, 915, 843, 5130, 3526, 7583, 282, 321, 4024, 324, 254, 529, 16, 53, 16, 282, 8572, 254, 1284, 2022, 274, 254, 1499, 457, 85, 3133, 16, 2028, 587, 4002, 321, 2828, 5346, 324, 615, 15962, 950, 33, 188, 510, 475, 2370, 72, 21062, 12, 23162, 2101, 14, 15431, 14, 311, 327, 254, 529, 16, 53, 16, 311, 1311, 254, 10771, 2514, 10354, 274, 2269, 276, 254, 1499, 16, 1223, 14, 360, 452, 643, 324, 248, 1034, 14, 1034, 671, 16, 4002, 555, 643, 23104, 597, 282, 441, 276, 436, 6951, 14, 532, 596, 4400, 7942, 327, 254, 22144, 28073, 596, 497, 12836, 497, 2328, 615, 2257, 440 ]
[ 1, 5321, 2034, 327, 387, 1824, 374, 22, 2942, 403, 2961, 282, 1323, 248, 17607, 1918, 1056, 16, 1838, 5732, 5062, 403, 1480, 3355, 2983, 286, 476, 457, 86, 2023, 3684, 2151, 1508, 282, 2374, 2165, 2704, 276, 2653, 5098, 286, 3184, 5595, 16, 188, 686, 1316, 282, 3054, 436, 671, 13770, 5445, 254, 889, 274, 5622, 2983, 555, 2411, 248, 9308, 3109, 16, 380, 30702, 1545, 368, 282, 3915, 3684, 1508, 286, 1017, 3300, 5009, 2210, 16, 188, 4581, 15832, 343, 637, 15, 258, 5800, 420, 4326, 286, 30702, 4662, 13850, 327, 3517, 254, 9347, 324, 6794, 12468, 274, 254, 347, 46763, 1878, 20546, 39, 20141, 2856, 45367, 4, 286, 5060, 21739, 16, 5696, 282, 2537, 3415, 774, 321, 23680, 276, 254, 1057, 6794, 324, 248, 1656, 2042, 9028, 1423, 16, 0, 10385, 1244, 45288, 47, 8500, 15868, 1091, 13874, 6601, 2185, 286, 24452, 1017, 2079, 6656, 573, 1865, 282, 16545, 615, 10787, 25852, 436, 2065, 16, 380, 9901, 457, 85, 22400, 6625, 11620, 248, 1868, 374, 19, 12625, 16006, 387, 695, 338, 22, 394, 24785, 35647, 1426, 38227, 44469, 286, 7739, 291, 330, 14283, 328, 3850, 338, 387, 254, 610, 3276, 262, 5044, 16, 411, 40014, 6145, 740, 26959, 14, 30342, 3172, 344, 19705, 14, 369, 254, 34919, 274, 38246, 16, 188, 3269, 19078, 37309, 85, 407, 18960, 2514, 15723, 14, 3845, 5852, 274, 254, 29122, 2253, 3718, 14, 380, 2997, 74, 800, 5734, 14, 23683, 5245, 37076, 14, 5848, 8902, 2421, 14, 418, 1719, 268, 14, 1676, 2480, 14, 6041, 14, 310, 3815, 706, 401, 1380, 84, 506, 14, 254, 32814, 408, 443, 16, 706, 444, 2158, 67, 444, 16, 47261, 6625, 14, 32699, 839, 1271, 11050, 14, 286, 309, 375, 1804, 67, 10243, 28217, 14, 6636, 370, 19, 18, 18, 18, 12625, 16006, 286, 580, 16101, 4242, 25234, 497, 11620, 282, 709, 25487, 2185, 286, 6656, 663, 348, 16235, 282, 4962, 4903, 2251, 939, 2103, 4584, 16, 21041, 587, 321, 15910, 1081, 1922, 23493, 1648, 29122, 12782, 2341, 6640, 14, 29122, 12782, 14436, 14, 7554, 14436, 2421, 286, 561, 15, 1153, 15, 3299, 23493, 1648, 11769, 17920, 14, 16843, 14, 286, 5919, 266, 2139, 16, 188, 1516, 802, 254, 6625, 9831, 695, 7757, 4270, 7999, 35647, 1426, 26151, 16, 6625, 15096, 7479, 877, 1201, 1264, 766, 252, 2957, 14, 769, 454, 2251, 276, 16691, 772, 4590, 311, 974, 274, 2185, 663, 2780, 327, 4584, 311, 254, 2165, 282, 23715, 8856, 1397, 1860, 2941, 624, 668, 254, 9901, 457, 85, 22400, 6625, 390, 282, 30512, 282, 695, 25234, 2024, 14, 4010, 772, 6625, 3135, 390, 1052, 254, 9074, 7014, 387, 314, 23, 24, 19, 11, 719, 23, 27, 15, 18, 20, 26, 23, 16, 188, 10, 37, 11, 8064, 274, 1760, 723, 10760, 13173, 591, 46665, 14, 3567, 16, 0, 47138, 2963, 14, 4633, 1638, 862, 286, 10223, 16, 188, 57, 16255, 1949, 6248, 276, 10310, 2963, 14, 10310, 10223, 286, 3605, 7334, 16, 188, 510, 4935, 555, 248, 6450, 41559, 8484, 1450, 286, 7421, 343, 248, 4474, 18183, 13797, 5945, 38296, 3400, 432, 254, 2824, 274, 254, 4977, 282, 254, 7421, 533, 311, 271, 16131, 343, 5065, 533, 8497, 282, 254, 2530, 274, 254, 13797, 23144, 5837, 16, 380, 884, 3008, 286, 36904, 403, 2264, 6014, 2817, 343, 37371, 23144, 286, 5258, 14, 254, 936, 15078, 311, 6193, 36894, 5945, 271, 16131, 407, 5065, 16, 380, 5017, 5818, 311, 37371, 34939, 343, 3524, 13596, 14, 254, 758, 30238, 403, 5065, 343, 4372, 2453, 800, 328, 254, 29687, 286, 5533, 16, 380, 9001, 286, 4525, 403, 13978, 16, 188, 510, 5186, 555, 248, 26564, 7042, 28837, 486, 5956, 6658, 343, 13797, 7042, 16, 188, 53, 2861, 3486, 43402, 41406, 5886, 343, 688, 9819, 27197, 14, 819, 348, 15113, 15953, 378, 13790, 390, 27955, 31222, 286, 367, 37808, 343, 9220, 295, 265, 2931, 85, 16, 188, 35, 371, 1393, 46579, 14, 1011, 5632, 14, 496, 31805, 14, 10104, 20924, 14, 354, 2473, 317, 5943, 14, 7113, 461, 583, 507, 286, 443, 1893, 16, 188, 48, 383, 311, 8590, 276, 248, 19209, 276, 254, 3112, 26763, 276, 27197, 286, 21158, 343, 5909, 6331, 286, 1051, 16, 188, 510, 23736, 26974, 2659, 268, 311, 2013, 282, 254, 5945, 27172, 265, 2659, 268, 533, 19405, 407, 1851, 248, 8881, 3065, 38296, 328, 254, 1874, 274, 254, 5818, 286, 248, 1181, 1637, 2840, 3065, 5516, 1444, 254, 4611, 38296, 328, 254, 2377, 16, 188, 510, 23736, 26974, 2659, 268, 476, 321, 2254, 432, 1996, 254, 44158, 5242, 35680, 390, 254, 28553, 35680, 274, 254, 3561, 9148, 16, 188, 6690, 15486, 497, 2584, 432, 254, 44158, 5242, 35680, 533, 20012, 85, 254, 3561, 9148, 16, 0, 61, 11180, 24642, 3239, 63, 750, 8669, 597, 276, 15289, 630, 14, 22785, 16937, 286, 555, 4168, 1525, 254, 1922, 11235, 4351, 324, 374, 25, 1090, 16, 826, 4226, 2992, 321, 12614, 407, 286, 20685, 276, 8726, 343, 4243, 10560, 14, 286, 665, 23808, 4850, 436, 4226, 2992, 321, 9152, 282, 254, 4311, 7371, 274, 254, 7623, 274, 5687, 16, 188, 61, 11180, 24642, 3239, 63, 330, 624, 9220, 5672, 274, 374, 18, 19, 22, 867, 2071, 6169, 587, 321, 5770, 417, 1034, 432, 1012, 276, 254, 684, 6620, 7352, 6234, 11339, 6321, 9389, 14, 33824, 1280, 5813, 731, 1503, 321, 8713, 327, 11533, 3854, 328, 254, 3607, 349, 592, 286, 626, 587, 321, 641, 8652, 668, 14492, 16, 380, 944, 3225, 819, 37902, 266, 14, 12581, 248, 46582, 274, 843, 254, 452, 643, 3303, 286, 615, 1430, 250, 3537, 14, 403, 17352, 561, 276, 248, 33824, 3802, 5770, 276, 254, 684, 6620, 7352, 6234, 11339, 6321, 9389, 28, 33824, 1280, 5813, 1547, 756, 2378, 7376, 546, 343, 254, 3834, 2958, 4577, 35973, 640, 663, 452, 1090, 274, 2705, 276, 4782, 561, 4824, 3790, 16911, 16, 188, 686, 1068, 633, 18118, 452, 417, 8774, 254, 3338, 5429, 286, 368, 1797, 1652, 3591, 436, 1479, 274, 4824, 835, 368, 476, 321, 7234, 282, 3217, 272, 416, 5659, 10871, 276, 9997, 282, 729, 14, 324, 11423, 276, 615, 6954, 16, 0, 22307, 23367, 7042, 555, 7358, 701, 286, 17124, 75, 11959, 1198, 20917, 343, 1004, 642, 1285, 254, 4747, 274, 2038, 546, 25280 ]
[ 1, 248, 4422, 3498, 37100, 774, 3471, 282, 321, 272, 15948, 2545, 16, 188, 1725, 562, 613, 3371, 12406, 282, 321, 7413, 343, 254, 2537, 42654, 932, 274, 6503, 4184, 5661, 16, 10068, 1015, 7617, 18589, 22728, 398, 327, 403, 387, 9585, 327, 403, 4426, 16, 1395, 774, 6648, 751, 11605, 327, 5655, 587, 4005, 327, 633, 3709, 1114, 403, 12362, 533, 872, 282, 751, 3444, 16, 188, 7373, 17514, 32991, 248, 1157, 2874, 276, 4584, 16, 2752, 16100, 5066, 254, 3371, 513, 353, 286, 670, 254, 7320, 369, 6140, 14, 353, 1623, 311, 14721, 327, 436, 2169, 274, 13897, 311, 4634, 348, 248, 898, 274, 407, 254, 29876, 974, 353, 457, 619, 321, 9123, 324, 3509, 615, 34059, 276, 254, 2104, 16, 1260, 248, 9672, 274, 254, 3265, 12364, 1336, 311, 3202, 407, 10446, 3371, 16, 188, 6004, 254, 3371, 452, 282, 8494, 254, 3265, 274, 671, 13991, 286, 8130, 15, 515, 17598, 3941, 13454, 774, 6648, 321, 3136, 1837, 16, 1547, 476, 3831, 254, 3681, 2517, 327, 254, 12364, 11284, 23207, 615, 30950, 593, 286, 1305, 729, 276, 4419, 1157, 7168, 16, 1260, 248, 898, 274, 6884, 1221, 3427, 7320, 14, 248, 5805, 4699, 22409, 14, 286, 669, 276, 665, 671, 14, 22409, 457, 2863, 1508, 276, 248, 11030, 270, 6186, 1884, 16, 188, 11567, 248, 5158, 274, 7538, 16393, 368, 457, 251, 4558, 282, 5166, 8555, 274, 3136, 248, 1612, 2298, 274, 7732, 16, 1664, 774, 417, 321, 8930, 282, 5846, 1033, 2115, 626, 311, 669, 14, 353, 774, 1354, 248, 1205, 282, 7368, 254, 3138, 898, 327, 311, 7775, 16, 36348, 1863, 254, 5224, 3620, 43064, 2485, 286, 2525, 3095, 16, 188, 510, 3265, 327, 497, 5781, 3661, 5234, 403, 756, 688, 1726, 24061, 282, 452, 368, 2956, 328, 254, 3338, 9751, 16, 330, 4422, 274, 254, 5588, 573, 254, 3621, 282, 15195, 254, 931, 596, 2709, 282, 642, 3265, 16, 1395, 403, 1438, 282, 19335, 254, 2169, 282, 254, 2353, 2646, 368, 2055, 282, 867, 597, 633, 1316, 368, 403, 2041, 282, 1074, 286, 4377, 479, 3, 188, 2432, 403, 3783, 4235, 533, 403, 1491, 286, 669, 248, 1603, 403, 43909, 16, 16828, 319, 457, 85, 3964, 587, 321, 1845, 282, 1916, 1125, 5532, 276, 248, 42254, 671, 2114, 16, 731, 1623, 311, 1726, 2101, 327, 368, 3256, 6384, 633, 6112, 286, 6231, 457, 86, 2876, 16713, 432, 254, 1056, 6282, 954, 188, 1934, 1193, 272, 5630, 867, 274, 2836, 328, 282, 295, 2848, 633, 785, 311, 14721, 16, 7023, 1354, 248, 997, 387, 254, 5246, 353, 28187, 16, 1395, 1582, 2033, 748, 633, 5535, 1503, 17065, 16, 188, 686, 254, 2186, 274, 1012, 14, 1004, 2485, 5441, 282, 9260, 615, 1193, 2949, 16, 1395, 403, 2041, 282, 387, 512, 2008, 41430, 254, 2115, 3402, 841, 254, 495, 19, 14, 603, 368, 403, 248, 1612, 5293, 867, 248, 15475, 328, 254, 5224, 274, 2211, 14, 670, 353, 1623, 311, 4895, 417, 14040, 16, 731, 457, 85, 4475, 327, 272, 4116, 7014, 321, 276, 248, 1619, 830, 596, 807, 768, 3875, 282, 9196, 254, 4902, 16, 188, 1130, 650, 321, 2499, 20369, 282, 1354, 248, 997, 276, 254, 4174, 274, 40447, 327, 4251, 615, 4189, 282, 452, 254, 3621, 282, 2374, 1826, 626, 457, 85, 4681, 282, 751, 248, 2194, 6237, 387, 254, 621, 324, 25922, 390, 615, 1225, 2586, 282, 15475, 9297, 939, 35698, 7955, 16, 330, 2187, 274, 12287, 1872, 7413, 343, 254, 2107, 867, 274, 16491, 16, 1395, 774, 417, 5565, 282, 3677, 537, 2185, 286, 254, 1770, 327, 403, 44841, 633, 34253, 16, 188, 31068, 5661, 282, 8372, 368, 1074, 254, 16, 5243, 7172, 587, 321, 2152, 4414, 348, 368, 8106, 16, 6499, 403, 3989, 15, 251, 18724, 16, 188, 19521, 282, 4832, 254, 5704, 432, 16873, 1525, 6789, 14, 330, 1603, 274, 254, 3505, 1789, 2992, 1920, 387, 2710, 16, 2512, 254, 3449, 8349, 2586, 274, 12364, 1336, 5427, 390, 368, 872, 282, 8782, 248, 1052, 16, 1395, 457, 307, 2152, 248, 14724, 1844, 16, 0, 10881, 368, 1038, 625, 961, 282, 811, 1382, 254, 5332, 14, 368, 961, 282, 33261, 254, 5332, 16, 1395, 961, 282, 35040, 254, 5332, 16, 3699, 4440, 4935, 17, 34350, 20107, 4738, 512, 274, 772, 2289, 15, 4259, 20107, 587, 4615, 436, 771, 809, 7650, 16, 1395, 1782, 321, 580, 274, 248, 1330, 1361, 274, 17324, 17305, 282, 1193, 748, 434, 2056, 282, 321, 248, 24556, 434, 5224, 3, 0, 2943, 310, 1649, 4561, 328, 618, 1530, 286, 4856, 353, 282, 12454, 282, 2796, 353, 282, 618, 1530, 14, 353, 2893, 670, 310, 2055, 353, 1444, 14, 532, 670, 310, 1649, 14498, 1938, 276, 1530, 255, 286, 835, 3217, 353, 282, 12454, 286, 2055, 254, 14498, 1444, 254, 1450, 14, 254, 4561, 1042, 417, 3191, 343, 254, 1450, 14, 1002, 841, 310, 2796, 353, 282, 254, 1450, 14, 532, 1269, 14498, 14, 353, 19354, 328, 254, 1450, 16, 2955, 310, 5651, 248, 3109, 33, 188, 1982, 254, 38214, 248, 4707, 1740, 811, 2796, 353, 282, 254, 1450, 5792, 16, 188, 43, 852, 748, 31913, 460, 13248, 749, 14, 310, 2796, 254, 4561, 3703, 282, 254, 5792, 328, 254, 1450, 286, 353, 4168, 14, 310, 369, 12035, 603, 436, 369, 254, 5068, 14, 532, 353, 4168, 16, 188, 2148, 248, 624, 2488, 2133, 14, 1309, 11510, 328, 248, 4230, 14, 310, 1141, 368, 1817, 452, 282, 4503, 254, 4230, 434, 28518, 282, 254, 11510, 1740, 16, 9887, 33, 188, 43, 5316, 14, 310, 452, 417, 12407, 327, 2019, 2486, 14, 348, 310, 715, 2732, 282, 2941, 1472, 35137, 669, 14, 286, 353, 311, 1837, 324, 248, 813, 21, 802, 1668, 5435, 1037, 33, 0, 27054, 555, 1062, 4679, 6522, 324, 254, 5603, 286, 327, 2034, 671, 282, 1309, 5552, 368, 282, 254, 10670, 324, 512, 615, 1837, 785, 16, 188, 510, 4853, 763, 21560, 2620, 276, 254, 5246, 1788, 403, 5172, 13302, 283, 367, 12204, 2499, 683, 254, 2508, 310, 3673, 889, 16, 731, 434, 248, 1623, 1247, 9292, 14, 310, 8459, 353, 348, 272, 3259, 314, 263, 434, 4075, 348, 2741, 43505, 11, 532, 310, 8611, 2314, 353, 16, 731, 434, 5167, 286, 40155, 532, 3364, 282, 785, 343 ]
[ 1, 10518, 16, 380, 3056, 769, 40825, 26690, 666, 2034, 248, 13138, 23626, 327, 311, 33380, 4024, 282, 3637, 254, 3506, 25812, 274, 695, 1491, 13927, 16, 1760, 591, 327, 1038, 457, 86, 5271, 2159, 593, 6865, 328, 615, 1193, 314, 1507, 1610, 14, 35967, 44969, 11, 403, 1438, 282, 321, 13138, 14, 2228, 10466, 12597, 658, 591, 747, 22163, 3010, 14, 9211, 14, 286, 25825, 403, 1311, 5827, 324, 4328, 16, 1395, 933, 321, 2731, 324, 769, 31925, 23432, 666, 324, 254, 25812, 4305, 274, 633, 1830, 16, 826, 2034, 254, 25812, 311, 5842, 432, 254, 4304, 390, 17021, 353, 41114, 432, 14, 286, 311, 10105, 276, 248, 1062, 2107, 1026, 16, 906, 1014, 7796, 3462, 403, 641, 3248, 1594, 282, 36014, 1919, 432, 1996, 16, 5243, 1830, 3083, 933, 321, 324, 3462, 4024, 282, 24797, 633, 4658, 286, 2488, 280, 348, 9799, 282, 3462, 343, 1291, 3068, 286, 35595, 327, 403, 811, 417, 3202, 16, 1260, 248, 5527, 14, 2536, 561, 633, 7383, 1830, 286, 2479, 254, 12347, 328, 254, 5050, 16, 1395, 774, 321, 9600, 387, 748, 368, 1074, 16, 188, 35, 1427, 18034, 15, 35, 3280, 16603, 14, 5556, 38119, 39240, 12018, 29594, 1037, 748, 434, 254, 29907, 33, 0, 29031, 20964, 16, 6185, 311, 254, 3783, 3858, 274, 9212, 15572, 30919, 11035, 14, 5974, 457, 85, 4144, 3746, 20272, 286, 4740, 5372, 3462, 11035, 1544, 338, 26, 26, 19, 16, 839, 3709, 9888, 3547, 276, 254, 9484, 8548, 14, 743, 4163, 276, 36031, 286, 5372, 5009, 14, 3265, 13197, 254, 8548, 14, 3017, 8856, 14, 6555, 11861, 14, 1068, 2109, 286, 624, 16, 188, 510, 756, 3746, 4351, 11035, 10701, 5974, 457, 85, 24700, 22986, 14, 8780, 13730, 14, 286, 1745, 38066, 1550, 85, 18903, 14, 9212, 6757, 298, 515, 7526, 695, 10390, 23404, 254, 743, 286, 11967, 8856, 276, 836, 4759, 16, 188, 31760, 276, 4959, 282, 3858, 254, 20272, 286, 4740, 5372, 3462, 8548, 276, 24460, 14, 10892, 1427, 40178, 14, 286, 14328, 16878, 14, 12259, 13680, 568, 9484, 75, 25556, 10047, 1460, 432, 1444, 254, 1499, 282, 1336, 8919, 276, 436, 2829, 2411, 624, 5751, 286, 26879, 16, 188, 13348, 273, 254, 14650, 286, 4032, 706, 3556, 18903, 343, 1460, 282, 1336, 1382, 624, 5751, 5704, 16, 188, 31068, 457, 85, 756, 3746, 11035, 9676, 282, 254, 769, 15800, 282, 3843, 666, 2703, 14, 9136, 1860, 8443, 13805, 695, 17538, 10390, 343, 1460, 286, 6326, 3547, 282, 3054, 254, 6555, 14, 11216, 1402, 14, 286, 31261, 274, 615, 5704, 16, 0, 10717, 305, 6805, 2983, 476, 8194, 688, 5802, 274, 28565, 286, 37485, 7229, 282, 7009, 2622, 254, 45144, 2160, 343, 248, 785, 15, 16274, 6253, 282, 248, 1603, 12197, 10156, 593, 15, 8661, 347, 1139, 3199, 4, 1518, 305, 6805, 6555, 16, 839, 7214, 2983, 282, 8194, 254, 975, 274, 7229, 327, 12538, 276, 671, 7766, 10689, 1343, 91, 2908, 39922, 314, 47, 10260, 11, 9674, 343, 38979, 1518, 305, 6805, 6555, 16, 839, 4503, 1518, 305, 6805, 5445, 819, 348, 17348, 29296, 14, 2057, 16386, 5553, 14, 44264, 15, 3146, 5570, 38262, 38133, 14, 286, 6884, 10342, 324, 4603, 14998, 14, 14163, 14, 1250, 15, 2538, 6312, 4500, 33830, 5737, 274, 354, 10260, 16, 839, 4503, 836, 2983, 282, 248, 2546, 11308, 422, 354, 10260, 22085, 1840, 14, 254, 443, 3069, 295, 14082, 1840, 14, 286, 818, 248, 2196, 5059, 6915, 1631, 14, 533, 311, 248, 4475, 8619, 274, 10689, 1024, 17888, 11463, 12381, 285, 16, 839, 913, 327, 772, 1518, 305, 6805, 2983, 476, 4962, 2734, 38979, 6555, 328, 4603, 14998, 11308, 422, 354, 10260, 9674, 16, 314, 37, 11, 374, 18, 19, 18, 31669, 39134, 3567, 16, 1822, 3453, 10544, 16, 188, 1516, 785, 369, 4376, 758, 254, 7743, 39, 22249, 46417, 2024, 314, 2921, 12860, 39, 19989, 1583, 16, 6031, 15, 1878, 18, 20, 15, 18, 27, 2688, 19, 19, 22, 24, 24, 11, 2600, 387, 24997, 31705, 17207, 17676, 14, 24997, 2421, 14, 286, 12394, 2421, 16, 826, 2479, 900, 5146, 274, 254, 3206, 5044, 324, 10973, 1036, 13050, 387, 16552, 27220, 3206, 17676, 14, 533, 311, 4376, 407, 254, 7258, 274, 6693, 274, 254, 1924, 4347, 274, 11353, 758, 19989, 1583, 16, 6031, 15, 1878, 18, 23, 15, 18, 18, 1347, 20, 20, 25, 20, 23, 16, 826, 2479, 900, 5146, 274, 254, 3206, 11353, 5329, 14892, 36267, 5044, 14, 533, 311, 4376, 407, 254, 7258, 274, 6693, 274, 254, 1924, 4347, 274, 11353, 758, 19989, 1583, 16, 6031, 15, 1878, 18, 20, 15, 18, 23, 2688, 19, 19, 20, 21, 19, 16, 839, 45549, 14015, 21331, 931, 432, 254, 22249, 46417, 5044, 324, 43882, 354, 7081, 4418, 8627, 16, 0, 4412, 1241, 1842, 274, 23267, 15, 2089, 273, 1444, 3157, 325, 318, 14569, 353, 369, 671, 282, 8550, 561, 274, 10632, 75, 4451, 328, 282, 443, 37120, 324, 688, 6622, 23267, 286, 41820, 31852, 16, 188, 19415, 20199, 276, 254, 29940, 457, 85, 403, 1996, 328, 248, 36099, 848, 390, 272, 338, 26, 7126, 36314, 13996, 351, 14, 1491, 785, 4074, 266, 6845, 274, 2094, 1354, 15, 13884, 286, 2575, 721, 14, 286, 7250, 324, 8700, 35542, 3, 188, 35, 4679, 14857, 16870, 7862, 14, 254, 2714, 36, 1476, 91, 3595, 457, 6705, 407, 20261, 16142, 276, 5258, 3473, 657, 12060, 276, 338, 27, 26, 24, 16, 15397, 28, 16441, 32829, 16, 188, 24260, 17052, 1225, 615, 1193, 3133, 670, 353, 3144, 282, 3532, 48225, 363, 789, 14, 286, 443, 37120, 457, 85, 4320, 1026, 274, 15715, 436, 369, 407, 13782, 763, 1330, 17052, 2292, 286, 20353, 3372, 729, 282, 1041, 748, 311, 1311, 248, 2094, 1382, 12249, 16, 12803, 443, 37120, 1339, 321, 580, 274, 254, 1603, 36602, 276, 254, 1499, 343, 641, 11775, 2187, 974, 626, 403, 641, 13558, 1045, 286, 641, 9163, 16, 3646, 248, 11402, 554, 16, 188, 1212, 497, 28859, 387, 254, 9791, 8130, 407, 20261, 16142, 14, 7109, 274, 399, 422, 443, 37120, 14, 663, 8167, 2134, 441, 687, 282, 254, 24912, 8745, 328, 254, 1964, 8700, 274, 18320, 37120, 314, 18397, 1390, 1015, 32558, 11, 835, 2362, 282, 1495, 1330, 8700, 314, 47, 41927, 27868, 11, 282, 6761, 254, 2286, 387 ]
[ 1, 6856, 14, 28683, 14, 286, 32629, 286, 5711, 963, 16, 26209, 276, 11947, 286, 755, 48155, 16, 26855, 6887, 24525, 713, 1004, 46572, 3096, 16, 41410, 338, 4813, 282, 338, 4813, 338, 18, 2819, 390, 1863, 9970, 24771, 1919, 432, 6936, 274, 3096, 16, 24867, 276, 43247, 328, 6199, 21495, 338, 18, 2819, 286, 5228, 432, 3096, 286, 4344, 4196, 328, 21495, 16, 188, 46, 8671, 457, 85, 21153, 28, 826, 311, 248, 1247, 13242, 324, 254, 22469, 282, 1862, 348, 248, 8901, 1544, 353, 2701, 495, 2271, 3352, 16, 1395, 476, 669, 1041, 2006, 12594, 15, 4077, 3352, 14, 811, 2541, 888, 328, 254, 16839, 671, 16, 826, 9970, 1903, 13137, 963, 1480, 593, 2035, 6214, 286, 31239, 688, 17212, 2318, 436, 802, 16, 0, 3350, 40916, 11169, 378, 3215, 52, 31863, 14, 10290, 2932, 49, 5988, 14, 26987, 14, 2470, 374, 20, 1091, 5329, 4674, 561, 407, 10991, 7985, 10666, 276, 14053, 343, 254, 1924, 4347, 274, 27114, 2636, 327, 20699, 254, 34909, 18235, 461, 807, 321, 1157, 324, 254, 2710, 16, 188, 510, 8381, 8171, 432, 254, 5461, 11839, 274, 496, 7144, 3978, 10261, 23481, 1466, 314, 1811, 34713, 11, 286, 254, 500, 18661, 10991, 91, 27262, 2421, 274, 27114, 286, 10501, 452, 1102, 327, 254, 1133, 461, 85, 403, 448, 820, 15, 11234, 274, 4304, 10065, 2922, 14, 31403, 7143, 2922, 14, 533, 452, 13190, 22616, 3487, 16, 188, 510, 1133, 461, 85, 533, 403, 7361, 2254, 348, 248, 30629, 276, 254, 10118, 2861, 2829, 14, 1635, 596, 3869, 328, 18929, 276, 1810, 14901, 4144, 282, 46816, 14, 807, 3004, 1663, 282, 321, 2254, 276, 248, 624, 2675, 1665, 286, 348, 248, 2653, 2520, 3622, 16, 188, 2557, 1719, 7143, 2922, 533, 403, 5271, 1102, 276, 6073, 532, 533, 254, 1133, 461, 85, 452, 1012, 643, 1102, 282, 321, 248, 6611, 2520, 274, 14, 2878, 254, 10772, 274, 11900, 42106, 3280, 13190, 713, 254, 539, 383, 1083, 16, 188, 1590, 1212, 2458, 327, 841, 254, 34909, 18235, 461, 555, 9941, 328, 248, 8243, 796, 6025, 14, 944, 274, 254, 1794, 31403, 7143, 2922, 403, 19485, 286, 743, 4254, 403, 669, 4061, 276, 695, 7734, 16, 496, 1577, 14, 436, 5480, 282, 248, 1017, 31403, 7143, 312, 2517, 14, 533, 5767, 327, 8886, 34909, 18235, 461, 85, 807, 4646, 13190, 1756, 9031, 34713, 11300, 382, 12382, 27394, 35052, 34144, 81, 11118, 16, 188, 15331, 254, 1133, 461, 85, 452, 669, 643, 1102, 282, 321, 6611, 4822, 274, 2518, 14, 13741, 9280, 286, 28345, 14, 34144, 81, 311, 27687, 327, 624, 2479, 587, 563, 713, 25975, 273, 695, 2365, 348, 248, 2653, 2520, 16, 188, 1590, 1212, 3409, 327, 772, 4202, 587, 1252, 2346, 254, 2479, 328, 254, 34909, 18235, 461, 276, 248, 743, 13764, 7670, 29, 695, 2365, 348, 248, 4305, 276, 2653, 286, 21322, 3860, 276, 7334, 16, 9673, 695, 3888, 2382, 14, 254, 34909, 18235, 461, 311, 2102, 16543, 276, 1125, 4661, 276, 7334, 286, 10223, 16, 1260, 9031, 34713, 555, 11156, 687, 254, 1090, 14, 254, 34909, 18235, 461, 311, 6508, 3364, 282, 10305, 14, 4355, 327, 353, 807, 321, 39949, 6675, 328, 248, 1330, 15, 7330, 1756, 34144, 81, 2225, 16, 188, 27745, 713, 21703, 348, 2653, 4822, 14, 9031, 34713, 8001, 14, 555, 643, 2359, 14856, 407, 248, 5511, 4022, 2974, 14, 2477, 9839, 5670, 14, 46316, 1773, 286, 2575, 5146, 348, 963, 348, 7742, 1767, 16, 188, 686, 31805, 14, 596, 11608, 14, 669, 452, 254, 2790, 5585, 274, 1129, 19592, 282, 10305, 286, 5938, 248, 20624, 24148, 32044, 683, 28545, 16, 0, 40552, 41279, 662, 9559, 14, 338, 26, 15, 10250, 15, 741, 14, 369, 4301, 23557, 407, 248, 14147, 276, 254, 338, 23, 18, 18, 2878, 274, 338, 18, 394, 18408, 411, 328, 6741, 3998, 4028, 374, 20, 16, 9397, 10690, 282, 254, 6029, 387, 338, 18, 28, 19, 18, 248, 16, 79, 16, 282, 9806, 2167, 265, 972, 16, 188, 1128, 36139, 369, 2600, 10780, 286, 3614, 254, 3138, 2759, 274, 2393, 555, 417, 2486, 643, 3303, 14, 26424, 1115, 311, 417, 12920, 16, 31481, 2317, 587, 3906, 282, 9806, 254, 7258, 274, 254, 8825, 2995, 25833, 282, 4947, 254, 2759, 286, 4980, 274, 2393, 16, 188, 6516, 1949, 33690, 933, 321, 6646, 282, 254, 20858, 4347, 274, 254, 8825, 2995, 25833, 16, 0, 21516, 33594, 276, 2038, 535, 1326, 286, 45716, 276, 248, 10286, 286, 2653, 24204, 532, 328, 407, 374, 2046, 3844, 5250, 16, 188, 1212, 587, 321, 30105, 1694, 6321, 11135, 1485, 8591, 327, 587, 321, 17906, 343, 16832, 2653, 16, 188, 1793, 2555, 85, 563, 282, 436, 1247, 2759, 327, 7526, 3869, 2038, 535, 1326, 10663, 286, 7526, 282, 3694, 22884, 16, 188, 1212, 3409, 282, 915, 368, 626, 328, 4423, 338, 21, 286, 4126, 688, 1247, 1485, 8591, 286, 37346, 3, 0, 3431, 2201, 23059, 282, 321, 10923, 713, 6193, 8377, 586, 10417, 273, 2632, 16, 3511, 19893, 343, 954, 22, 23, 18, 286, 954, 27, 18, 18, 7141, 366, 9837, 286, 2066, 276, 512, 6193, 8377, 586, 7141, 366, 21607, 16, 28367, 1487, 282, 254, 4442, 7269, 16, 0, 2300, 254, 10725, 274, 10170, 273, 272, 10473, 16565, 276, 616, 1193, 1683, 14, 3397, 338, 16, 188, 2148, 272, 732, 16840, 24186, 14, 368, 770, 759, 254, 1362, 327, 272, 10473, 2150, 5114, 2693, 1312, 836, 2906, 28, 769, 43, 961, 368, 282, 1663, 286, 10170, 618, 1193, 1683, 1397, 330, 16565, 457, 85, 1193, 1683, 476, 321, 580, 274, 254, 6287, 13849, 274, 748, 616, 2710, 286, 2482, 286, 8319, 1464, 997, 747, 16, 1469, 555, 2674, 5211, 293, 3486, 20870, 6995, 7224, 432, 616, 2342, 12879, 457, 3175, 286, 254, 1845, 14687, 8598, 2443, 274, 7363, 16, 380, 898, 311, 14, 276, 618, 3258, 4159, 1191, 14, 1845, 1594, 28795, 282, 915, 14, 286, 4669, 3035, 457, 85, 1683, 311, 641, 6343, 16, 4669, 3035, 4255, 343, 616, 1963, 274, 1694, 432, 9438, 286, 12946, 607, 1090, 14, 4250, 328, 802, 813, 276, 254, 2342, 14, 282, 1242, 2328, 665, 29008, 568, 16, 8995, 327, 701, 6350, 1143, 7593, 282, 3217, 254, 338, 27, 27, 18, 457, 85, 2342, 14, 5094, 276, 748 ]
[ 1, 813, 23, 394, 7164, 16035, 276, 374, 18, 19, 24, 14, 254, 1527, 311, 272, 4429, 343, 2234, 16, 18429, 10452, 14, 15096, 274, 380, 388, 525, 294, 6625, 1544, 374, 18, 19, 19, 286, 4310, 3442, 1544, 338, 27, 27, 24, 14, 18418, 328, 254, 3373, 274, 380, 388, 525, 294, 6625, 286, 695, 2165, 7485, 46537, 254, 3015, 286, 4317, 16, 188, 51, 28, 4585, 35821, 282, 380, 388, 525, 294, 6625, 328, 10638, 695, 813, 23, 394, 7164, 16035, 16, 16119, 368, 3768, 343, 441, 248, 2298, 668, 695, 20183, 33, 188, 41, 10870, 28, 380, 388, 525, 294, 6625, 369, 11115, 276, 338, 27, 22, 19, 407, 5916, 330, 16, 388, 525, 294, 286, 520, 3240, 15797, 331, 16, 388, 525, 294, 16, 1664, 497, 2537, 4310, 2672, 286, 254, 801, 22919, 369, 370, 19, 18, 16, 3805, 835, 360, 1797, 8010, 2019, 4317, 748, 1002, 254, 388, 525, 1220, 3061, 18452, 14, 532, 276, 688, 3956, 360, 513, 1789, 811, 747, 360, 852, 813, 23, 1090, 3502, 16, 839, 1674, 276, 6319, 286, 5495, 327, 7065, 1491, 5215, 14, 327, 1336, 1491, 942, 14, 286, 327, 1041, 248, 1491, 3373, 276, 772, 3015, 16, 380, 942, 663, 1041, 1093, 6902, 3051, 286, 785, 1045, 14, 452, 615, 11157, 1045, 14, 286, 3768, 254, 1057, 11527, 282, 16449, 327, 254, 388, 525, 1220, 5030, 16, 188, 51, 28, 1691, 1748, 21164, 687, 254, 2391, 813, 23, 1090, 311, 254, 6625, 944, 9714, 274, 33, 188, 41, 10870, 28, 1664, 403, 1125, 4902, 276, 436, 3015, 830, 368, 476, 915, 254, 6625, 457, 85, 785, 276, 2181, 14, 532, 603, 310, 573, 282, 2536, 580, 327, 310, 457, 79, 944, 9714, 274, 14, 353, 650, 3061, 321, 380, 388, 525, 294, 6342, 16, 1664, 6231, 625, 1125, 642, 7681, 274, 772, 1921, 327, 3064, 1499, 15, 2360, 2479, 11799, 14, 1181, 1637, 2479, 11799, 327, 403, 2328, 7726, 31713, 387, 254, 4144, 4873, 274, 615, 1631, 16, 188, 686, 1596, 282, 436, 14, 6069, 2006, 1303, 15, 15177, 8660, 282, 254, 4310, 4343, 254, 6625, 282, 3858, 2362, 254, 3015, 282, 2023, 1305, 327, 311, 4828, 796, 16, 731, 311, 45435, 282, 915, 254, 3736, 3858, 274, 380, 388, 525, 294, 6625, 286, 254, 1125, 2675, 3956, 353, 25944, 942, 276, 254, 3015, 16, 188, 51, 28, 1691, 21164, 403, 276, 254, 15286, 327, 368, 403, 8814, 668, 33, 188, 41, 10870, 28, 1664, 403, 2006, 15931, 743, 21164, 43135, 407, 254, 4310, 324, 1012, 286, 254, 2764, 16, 28715, 374, 18, 20, 18, 587, 3217, 668, 2006, 6319, 282, 7086, 254, 3184, 274, 3686, 286, 2367, 276, 16449, 16, 380, 388, 525, 294, 6342, 286, 254, 6092, 1296, 274, 31713, 10911, 282, 1709, 743, 2072, 286, 2411, 272, 4903, 5485, 282, 16449, 403, 39124, 11967, 16, 6934, 1348, 11909, 6640, 434, 743, 5044, 324, 27114, 286, 11125, 6693, 10501, 2024, 587, 16823, 4163, 14, 5692, 14, 286, 20418, 286, 4780, 1577, 35661, 713, 248, 4022, 6480, 324, 3609, 2764, 14364, 16, 1664, 434, 248, 2187, 282, 321, 8814, 668, 16, 188, 51, 28, 1334, 513, 368, 2848, 254, 2675, 3373, 274, 254, 6625, 328, 16449, 14, 772, 1350, 286, 5779, 387, 1733, 33, 188, 41, 10870, 28, 380, 6625, 6933, 1241, 1062, 1726, 9253, 28, 580, 14, 360, 457, 251, 248, 2520, 274, 1449, 1305, 282, 6319, 286, 21164, 327, 5485, 254, 16449, 3015, 16, 5596, 14, 407, 16498, 274, 12498, 274, 624, 683, 576, 26, 2476, 274, 388, 525, 294, 34852, 10995, 5574, 14, 360, 11882, 254, 2485, 457, 85, 7675, 16, 496, 327, 2472, 14, 360, 452, 4405, 248, 628, 276, 7362, 388, 525, 294, 34852, 3781, 14, 5511, 286, 428, 4780, 944, 15108, 428, 1707, 1045, 276, 16449, 16, 8829, 14, 360, 2023, 324, 254, 4682, 15089, 274, 1963, 44962, 324, 254, 7271, 4095, 407, 1963, 43420, 16, 188, 510, 2675, 3373, 274, 254, 6625, 328, 16449, 14, 772, 1350, 14, 286, 5779, 387, 1733, 476, 321, 3948, 276, 1015, 3956, 16, 44898, 388, 525, 294, 34852, 1707, 276, 16449, 555, 573, 248, 1500, 3373, 328, 7180, 276, 254, 3015, 286, 254, 1162, 274, 942, 3686, 286, 2367, 1045, 16, 496, 2349, 274, 38622, 11858, 4782, 14, 4679, 370, 19, 27, 25, 2945, 555, 643, 35243, 1544, 338, 27, 22, 19, 14, 533, 311, 1500, 276, 1748, 324, 248, 1330, 2758, 254, 1921, 274, 16449, 16, 380, 388, 525, 294, 6625, 311, 254, 1250, 6081, 14369, 282, 2421, 274, 14345, 974, 274, 1305, 1635, 282, 380, 388, 525, 294, 6342, 428, 327, 311, 248, 2135, 3373, 324, 16449, 286, 254, 1350, 274, 14345, 16, 188, 1934, 2475, 276, 2349, 274, 19224, 274, 32989, 4782, 14, 254, 1581, 311, 1034, 428, 360, 4248, 282, 3858, 286, 5485, 13868, 1033, 4659, 274, 3686, 286, 2367, 276, 16449, 286, 1336, 512, 942, 4619, 254, 3015, 14, 432, 35243, 286, 20585, 8690, 282, 942, 343, 2628, 3095, 16, 10017, 14, 12625, 16006, 14, 2251, 21196, 14, 7827, 14, 758, 31965, 3371, 1129, 801, 276, 615, 5703, 282, 7829, 6649, 14, 1401, 6495, 14, 13325, 26267, 14, 14235, 286, 3327, 14, 3112, 21397, 2832, 2479, 428, 254, 3373, 311, 3555, 286, 2019, 15, 43225, 14, 2664, 2747, 772, 2774, 3015, 428, 8660, 14, 9094, 286, 944, 15108, 14, 942, 434, 4701, 16, 188, 51, 28, 5431, 274, 441, 403, 6425, 274, 254, 2675, 286, 2019, 15, 43225, 3373, 254, 6625, 555, 328, 254, 1922, 3015, 14, 532, 476, 368, 3768, 248, 2298, 668, 843, 353, 16728, 328, 254, 3198, 432, 248, 25113, 8442, 33, 310, 8340, 327, 555, 643, 248, 2165, 282, 695, 11986, 2251, 687, 254, 2391, 813, 23, 1090, 16, 188, 41, 10870, 28, 1395, 1441, 977, 16, 839, 1797, 643, 26990, 282, 452, 1081, 1247, 9298, 286, 19418, 5146, 14, 763, 6250, 12865, 324, 1767, 16, 839, 669, 452, 272, 1726, 8075, 348, 10654, 37870, 274, 388, 525, 294, 34852, 10995, 428, 360, 1354, 327, 2472, 1062, 10099, 16, 188, 1212, 452, 248, 4310, 274, 17458, 1143, 597, 274, 10868, 2672, 432, 944, 274, 772, 4376, 8660, 286, 360, 452, 10268, 17458, 16, 1993, 17458, 785, 282, 1674 ]
[ 1, 18520, 28, 1003, 1827, 16, 17525, 10, 14633, 14, 247, 69, 11, 1003, 1827, 16, 32875, 22844, 10, 14633, 14, 18340, 11, 647, 3584, 19000, 348, 300, 28, 926, 1827, 16, 23442, 65, 12763, 65, 11833, 8622, 288, 11716, 65, 302, 14, 9412, 65, 302, 3185, 926, 6975, 300, 647, 1827, 16, 13677, 65, 23442, 65, 11833, 8622, 288, 11716, 65, 302, 14, 9412, 65, 302, 3185, 1465, 804, 12917, 446, 546, 10, 1262, 14, 18340, 14, 247, 69, 2192, 647, 15252, 65, 302, 426, 745, 7209, 16, 50, 5593, 1551, 11075, 25902, 17, 5318, 65, 24423, 446, 546, 65, 288, 11716, 16, 1182, 985, 7921, 426, 11475, 14, 6096, 483, 31, 2303, 7209, 16, 50, 34713, 481, 42143, 16, 1073, 4872, 28339, 1551, 17371, 15, 26, 6606, 84, 24915, 1067, 647, 9412, 65, 302, 426, 745, 7209, 16, 50, 5593, 1551, 11075, 25902, 17, 5318, 65, 24423, 446, 546, 65, 21761, 16, 1182, 985, 7921, 426, 11475, 14, 6096, 483, 31, 2303, 7209, 16, 50, 34713, 481, 42143, 16, 1073, 4872, 28339, 1551, 17371, 15, 26, 6606, 84, 24915, 1067, 647, 1574, 28, 926, 18520, 426, 1827, 16, 2313, 6337, 1551, 24423, 446, 546, 985, 374, 11, 926, 324, 5509, 276, 18520, 28, 1003, 1827, 16, 17525, 10, 14633, 14, 247, 69, 11, 1003, 1827, 16, 32875, 22844, 10, 14633, 14, 18340, 11, 647, 3584, 19000, 348, 300, 28, 926, 1827, 16, 23442, 65, 12763, 65, 11833, 8622, 288, 11716, 65, 302, 14, 9412, 65, 302, 3185, 926, 6975, 300, 647, 1827, 16, 13677, 65, 23442, 65, 11833, 8622, 288, 11716, 65, 302, 14, 9412, 65, 302, 3185, 1465, 804, 685, 85, 19, 8079, 10, 1262, 14, 18340, 14, 247, 69, 2192, 647, 6131, 65, 302, 426, 745, 7209, 16, 50, 5593, 1551, 11075, 25902, 17, 5318, 65, 2831, 19, 65, 11400, 16, 1182, 985, 7921, 426, 11475, 14, 6096, 483, 31, 2303, 7209, 16, 50, 34713, 481, 42143, 16, 1073, 4872, 28339, 1551, 17371, 15, 26, 6606, 84, 24915, 1067, 647, 671, 16, 27846, 10, 23, 11, 647, 9472, 65, 302, 426, 745, 7209, 16, 50, 5593, 1551, 11075, 25902, 17, 5318, 65, 2831, 19, 65, 8079, 16, 1182, 985, 7921, 426, 11475, 14, 6096, 483, 31, 2303, 7209, 16, 50, 34713, 481, 42143, 16, 1073, 4872, 28339, 1551, 17371, 15, 26, 6606, 84, 24915, 1067, 647, 16574, 426, 1827, 16, 2313, 6337, 1551, 2831, 19, 985, 374, 11, 647, 15252, 65, 302, 426, 745, 7209, 16, 50, 5593, 1551, 11075, 25902, 17, 5318, 65, 2831, 20, 24423, 446, 546, 65, 288, 11716, 65, 8079, 16, 1182, 985, 7921, 426, 11475, 14, 6096, 483, 31, 2303, 7209, 16, 50, 34713, 481, 42143, 16, 1073, 4872, 28339, 1551, 17371, 15, 26, 6606, 84, 24915, 1067, 647, 9412, 65, 302, 426, 745, 7209, 16, 50, 5593, 1551, 11075, 25902, 17, 5318, 65, 2831, 19, 65, 21761, 16, 1182, 985, 7921, 426, 11475, 14, 6096, 483, 31, 2303, 7209, 16, 50, 34713, 481, 42143, 16, 1073, 4872, 28339, 1551, 17371, 15, 26, 6606, 84, 24915, 1067, 647, 1574, 28, 926, 18520, 426, 257, 808, 16, 2313, 6337, 1551, 2831, 19, 985, 576, 11, 926, 324, 5509, 276, 18520, 28, 1003, 603, 417, 5509, 276, 16574, 28, 2498, 1827, 16, 17525, 10, 14633, 14, 247, 69, 11, 2498, 1827, 16, 32875, 22844, 10, 14633, 14, 18340, 11, 647, 3584, 19000, 348, 300, 28, 926, 1827, 16, 23442, 65, 12763, 65, 11833, 8622, 288, 11716, 65, 302, 14, 9412, 65, 302, 14, 6131, 65, 302, 14, 9472, 65, 302, 3185, 926, 6975, 300, 647, 1827, 16, 13677, 65, 23442, 65, 11833, 8622, 288, 11716, 65, 302, 14, 9412, 65, 302, 3185, 647, 1827, 16, 30371, 16, 12763, 10, 11400, 65, 302, 11, 647, 1827, 16, 30371, 16, 11833, 65, 12937, 10, 11400, 65, 302, 11, 647, 1827, 16, 30371, 16, 12763, 10, 8079, 65, 302, 11, 647, 1827, 16, 30371, 16, 11833, 65, 12937, 10, 8079, 65, 302, 11, 1465, 804, 685, 85, 19, 65, 23816, 1402, 10, 1262, 14, 18340, 14, 1359, 2192, 647, 42324, 426, 7954, 647, 1827, 16, 18850, 10, 31079, 11, 647, 1827, 16, 20090, 10, 31079, 11, 647, 671, 16, 27846, 10, 21, 18, 11, 647, 6131, 65, 302, 426, 745, 7209, 16, 50, 5593, 1551, 11075, 25902, 17, 5318, 65, 2831, 19, 65, 11400, 16, 1182, 985, 7921, 426, 11475, 14, 6096, 483, 31, 2303, 7209, 16, 50, 34713, 481, 42143, 16, 1073, 4872, 28339, 1551, 17371, 15, 26, 6606, 84, 24915, 1067, 647, 42324, 16, 9436, 10, 2303, 7209, 16, 50, 5593, 1551, 11075, 25902, 17, 5318, 65, 2831, 19, 65, 21761, 16, 1182, 985, 7921, 426, 11475, 14, 6096, 483, 31, 2303, 7209, 16, 50, 34713, 481, 42143, 16, 1073, 4872, 28339, 1551, 17371, 15, 26, 6606, 84, 24915, 6472, 647, 324, 13616, 276, 2413, 10, 19, 18, 14, 338, 18, 558, 1359, 2192, 926, 42324, 16, 9436, 10, 2303, 7209, 16, 50, 5593, 1551, 11075, 25902, 17, 5318, 65, 2831, 19, 65, 23816, 1402, 65, 288, 11716, 16, 1182, 11836, 3333, 7910, 10, 531, 581, 7921, 426, 11475, 14, 6096, 483, 31, 2303, 7209, 16, 50, 34713, 481, 42143, 16, 1073, 4872, 28339, 1551, 17371, 15, 26, 6606, 84, 24915, 6472, 647, 1827, 16, 13677, 65, 23442, 65, 11833, 10, 2280, 14, 495, 18, 11, 647, 1827, 16, 30371, 16, 12763, 10, 11400, 65, 302, 11, 647, 1827, 16, 30371, 16, 11833, 65, 12937, 10, 11400, 65, 302, 11, 647, 7481, 16, 445, 482, 2012, 42228, 17, 288, 11716, 34974, 6976, 9867, 5813, 7910, 10, 19, 18, 558, 1359, 428, 338, 581, 684, 42228, 17, 288, 11716, 16, 9867, 3291, 1465, 804, 685, 85, 20, 5341, 632, 65, 23816, 1402, 10, 1262, 14, 18340, 14, 1359, 2192, 647, 42324, 426, 7954, 647, 1827, 16, 18850, 10, 31079, 11, 647, 1827, 16, 20090, 10, 31079, 11, 647, 671, 16, 27846, 10, 21, 18, 11, 647, 42324, 16, 9436, 10, 2303, 7209, 16, 50, 5593, 1551, 11075, 25902, 17, 5318, 65, 2831, 20, 5341, 632, 65, 21761, 16, 1182, 985, 7921, 426, 11475, 14, 6096, 483, 31, 2303, 7209, 16, 50, 34713, 481, 42143, 16, 1073, 4872, 28339, 1551 ]
[ 1, 2550, 1558, 41, 21, 23, 56, 51, 3275, 235, 227, 172, 119, 226, 19576, 314, 42820, 1201, 5761, 11, 22861, 42039, 172, 119, 226, 9849, 6230, 558, 26658, 11371, 19255, 85, 42039, 172, 119, 226, 495, 22, 22, 18, 1246, 338, 22, 22, 18, 1676, 536, 188, 1853, 317, 416, 11520, 20662, 21, 22, 26, 51, 495, 22, 4, 33519, 15, 4223, 1148, 10260, 23828, 11267, 1249, 26639, 102, 21, 22, 4, 338, 22, 22, 18, 82, 310, 3193, 5212, 343, 23877, 1787, 5082, 443, 15, 13915, 9182, 10501, 272, 536, 188, 1853, 317, 416, 11520, 657, 2550, 1558, 41, 21, 20, 56, 51, 21, 20, 15964, 338, 26, 18, 18, 52, 21931, 16326, 5559, 343, 16961, 15, 7747, 338, 22, 22, 7947, 22195, 2210, 4024, 536, 0, 3912, 274, 20784, 457, 85, 944, 4489, 495, 38, 17, 22, 38, 18001, 10400, 282, 3407, 16, 380, 6663, 317, 252, 2868, 14, 19259, 580, 274, 254, 944, 33433, 494, 495, 38, 6792, 2632, 16, 380, 6663, 317, 252, 813, 21, 18, 311, 5740, 348, 254, 6663, 317, 252, 813, 21, 18, 39311, 343, 254, 5028, 14003, 286, 36831, 5559, 390, 348, 254, 6663, 37516, 1270, 603, 368, 4370, 417, 282, 452, 254, 26901, 5028, 14003, 328, 254, 2525, 1423, 5212, 16, 330, 4144, 495, 38, 17, 22, 38, 18001, 4992, 327, 311, 1311, 4075, 286, 1272, 5331, 2966, 16, 188, 7341, 457, 85, 6663, 317, 252, 1360, 274, 1830, 555, 254, 1640, 12332, 324, 254, 19502, 671, 2114, 324, 576, 38, 6792, 14, 37482, 14, 286, 16266, 37757, 16, 380, 6663, 317, 252, 813, 21, 18, 2956, 1125, 1090, 3502, 286, 343, 254, 43327, 3571, 286, 10040, 2462, 14, 353, 4783, 24700, 713, 748, 254, 3240, 41002, 286, 14561, 2961, 14, 248, 1708, 495, 38, 18001, 4992, 533, 311, 1012, 5740, 387, 272, 17740, 4236, 2622, 370, 21, 18, 14, 18, 18, 18, 16, 0, 4119, 17920, 311, 13488, 282, 10302, 254, 1596, 274, 13049, 91, 473, 1974, 447, 282, 254, 1427, 15, 29575, 1963, 16, 750, 3144, 282, 441, 841, 848, 1090, 276, 254, 6092, 16601, 2072, 14, 9169, 254, 944, 33265, 31989, 9094, 16, 750, 6919, 328, 5983, 7663, 785, 12274, 939, 10711, 2150, 286, 14053, 343, 6211, 16, 188, 3294, 1427, 15, 29575, 14, 13049, 91, 587, 889, 10711, 3956, 282, 3054, 520, 6211, 457, 17893, 286, 4646, 615, 4665, 16, 2936, 3981, 276, 2150, 286, 2683, 328, 5983, 2675, 7528, 8227, 311, 248, 2135, 14807, 282, 254, 1427, 15, 29575, 10313, 16, 2640, 272, 14658, 328, 17893, 5322, 14, 13049, 91, 311, 2056, 282, 3217, 1294, 286, 15392, 282, 772, 6211, 16, 0, 510, 3293, 1604, 2865, 17266, 1914, 16, 188, 2943, 20218, 4255, 561, 274, 520, 4507, 9, 2342, 14, 345, 6705, 254, 17266, 6437, 274, 3686, 328, 520, 1193, 16, 188, 2943, 254, 9475, 900, 17266, 2906, 14, 254, 1401, 13802, 16, 188, 2345, 546, 1652, 248, 34182, 670, 701, 900, 327, 17266, 43654, 282, 14430, 616, 9749, 16, 188, 57, 1047, 311, 1480, 17266, 248, 7854, 324, 248, 6676, 434, 7786, 4658, 16, 188, 42, 7687, 7514, 311, 248, 6268, 668, 272, 17129, 2073, 17898, 276, 8514, 9496, 663, 4699, 248, 2545, 343, 254, 4347, 274, 36938, 8809, 16, 1691, 807, 563, 3320, 33, 13794, 254, 18597, 16, 188, 2432, 403, 642, 29383, 274, 17266, 16, 0, 24306, 3432, 457, 86, 1438, 9564, 16, 1223, 348, 254, 330, 4481, 4351, 7602, 5069, 85, 14, 1093, 274, 441, 5346, 403, 6459, 343, 254, 10840, 314, 395, 4395, 28102, 11, 4686, 274, 11530, 286, 20802, 695, 1294, 16, 1838, 324, 1093, 274, 368, 663, 6429, 441, 276, 8389, 254, 1157, 3694, 14, 1045, 457, 85, 248, 1581, 25098, 14148, 328, 254, 8756, 19584, 815, 2168, 327, 311, 2591, 8899, 276, 254, 330, 4481, 4351, 16, 839, 457, 251, 2056, 368, 476, 14190, 16, 188, 19, 20, 16, 2028, 633, 3132, 2517, 4424, 9645, 3, 188, 1516, 16, 1638, 16, 388, 1805, 780, 16, 16144, 15514, 359, 3435, 3, 0, 9606, 624, 931, 668, 3382, 395, 406, 16, 188, 44367, 456, 2586, 1294, 311, 338, 21, 25, 14, 23, 20, 27, 16, 18, 24, 16, 188, 6942, 282, 30569, 37706, 24471, 3382, 395, 406, 16, 318, 16, 344, 311, 16571, 1162, 338, 25, 14, 21, 23, 21, 276, 254, 1499, 286, 16, 18, 18, 25, 22, 19, 274, 4022, 7142, 4076, 4010, 16, 188, 36, 3504, 9289, 28, 496, 4257, 338, 27, 24, 26, 14, 19926, 1460, 286, 14612, 319, 5044, 314, 344, 395, 406, 11, 369, 4307, 8697, 348, 248, 628, 274, 254, 8620, 28950, 5329, 286, 7028, 276, 5692, 286, 10017, 314, 344, 82, 340, 481, 0, 23693, 731, 6788, 731, 457, 85, 24566, 256, 3, 188, 43, 457, 307, 1289, 1603, 7674, 310, 1848, 457, 86, 747, 14, 286, 436, 580, 311, 641, 6343, 16, 380, 4793, 12287, 687, 387, 38030, 1228, 401, 4072, 9024, 436, 7315, 328, 615, 6567, 3135, 16, 188, 510, 5527, 2956, 328, 4028, 576, 14, 593, 310, 457, 79, 248, 1603, 1842, 3447, 16, 1583, 27341, 29, 310, 476, 1242, 2966, 286, 785, 353, 713, 2470, 16, 188, 1516, 2065, 248, 3183, 24738, 40129, 328, 254, 6567, 3135, 274, 272, 597, 15, 395, 15, 4066, 6244, 24944, 26070, 663, 669, 6395, 282, 321, 248, 5258, 3306, 16, 188, 2899, 9024, 254, 7315, 274, 248, 20219, 264, 286, 520, 21647, 3089, 628, 276, 2628, 3134, 254, 5935, 573, 1635, 282, 10120, 254, 4422, 314, 250, 254, 5258, 5935, 14, 436, 1479, 274, 2628, 2497, 311, 7541, 1873, 348, 769, 779, 20219, 264, 706, 38665, 457, 85, 1991, 2757, 2414, 666, 390, 769, 779, 20219, 264, 706, 38665, 457, 85, 7164, 16035, 1397, 826, 2497, 40955, 682, 1004, 802, 274, 2497, 407, 254, 4422, 14, 286, 311, 272, 7760, 3931, 328, 254, 5935, 457, 85, 16367, 274, 3134, 481, 188, 10, 6128, 348, 248, 40145, 43, 14, 626, 311, 669, 1495, 2497, 276, 248, 2013, 17214, 327, 311, 6117, 282, 348, 769, 779, 6240, 1991, 2757, 2414, 666, 390, 769, 779, 6240, 7164, 16035, 20728, 188, 6004, 310, 457, 79, 387, 353, 14, 1315, 479, 669, 4017, 254, 440, 37472, 327, 276, 1125, 5258 ]
[ 1, 7943, 24, 18, 18, 2945, 8141, 324, 254, 416, 19, 18, 18, 13153, 587, 2683, 328, 18187, 2155, 7747, 30054, 2218, 282, 13563, 457, 85, 11089, 286, 8700, 7681, 16, 188, 8465, 2065, 254, 22679, 9274, 5968, 254, 5793, 2378, 1321, 7935, 1143, 276, 248, 5427, 30054, 2133, 16, 3774, 33059, 2120, 8075, 276, 436, 10544, 2104, 14, 254, 5427, 7102, 452, 9681, 756, 7943, 20, 19, 2945, 274, 254, 7943, 24, 18, 18, 2945, 327, 353, 369, 5968, 650, 321, 900, 282, 7065, 436, 2133, 16, 188, 510, 41242, 587, 321, 1143, 597, 274, 1241, 9670, 3551, 343, 3605, 13563, 14, 533, 3672, 4814, 317, 14, 6700, 254, 6081, 3768, 274, 8141, 387, 7943, 21, 26, 22, 2945, 16, 188, 30687, 436, 2065, 254, 30938, 9274, 324, 254, 32890, 35549, 286, 28516, 2279, 14, 401, 25291, 444, 7503, 354, 4210, 14, 4025, 282, 512, 1922, 8826, 11213, 282, 2445, 343, 11930, 6851, 282, 2247, 254, 416, 19, 18, 18, 13153, 286, 695, 3373, 2362, 13563, 16, 188, 1590, 8465, 2065, 254, 22679, 9274, 5968, 254, 5793, 2378, 1321, 7935, 1143, 276, 248, 5427, 30054, 2133, 16, 3774, 33059, 2120, 8075, 276, 436, 10544, 2104, 14, 254, 5427, 7102, 452, 9681, 756, 7943, 20, 19, 2945, 274, 254, 7943, 24, 18, 18, 2945, 7527, 407, 254, 19637, 16, 188, 1590, 43, 715, 24697, 343, 254, 17449, 7102, 457, 85, 15251, 327, 254, 3196, 3298, 274, 254, 416, 19, 18, 18, 13153, 587, 2232, 7935, 830, 353, 311, 944, 2961, 1091, 276, 772, 11089, 7681, 16, 188, 1590, 43, 3409, 254, 436, 3196, 3298, 274, 254, 416, 19, 18, 18, 13153, 587, 452, 248, 2675, 3373, 328, 254, 11089, 7681, 274, 4814, 317, 3561, 286, 310, 715, 13488, 327, 254, 17449, 7102, 311, 7527, 282, 2367, 2292, 343, 1922, 8826, 328, 436, 1726, 2563, 16, 0, 6690, 593, 15, 8661, 7306, 6181, 1038, 625, 1364, 1034, 2151, 282, 321, 2458, 3468, 14, 532, 360, 865, 596, 2159, 407, 615, 2456, 16, 188, 4369, 9791, 1789, 747, 10633, 14, 282, 1623, 1887, 1789, 747, 10833, 16, 3699, 1640, 3638, 324, 12575, 819, 1733, 15, 7330, 5135, 311, 2025, 37732, 14, 17731, 20376, 434, 6036, 912, 19224, 14, 533, 5085, 561, 843, 2245, 14, 671, 286, 12571, 785, 16, 188, 686, 642, 2906, 14, 1612, 26934, 274, 2245, 286, 671, 476, 825, 30193, 16, 347, 1982, 2245, 286, 671, 403, 2593, 1013, 14, 596, 476, 10636, 6168, 928, 2225, 18146, 29096, 1292, 387, 12810, 2341, 2421, 276, 8358, 365, 16, 347, 2515, 368, 476, 2706, 7306, 2245, 15, 3078, 811, 348, 368, 476, 2706, 7306, 6181, 449, 188, 1253, 434, 624, 14, 603, 353, 434, 1841, 324, 836, 26934, 282, 825, 14, 368, 476, 11882, 327, 596, 587, 16, 347, 686, 6146, 11731, 14, 603, 1594, 311, 417, 24582, 14, 353, 7723, 6395, 343, 688, 1303, 15, 10252, 5744, 928, 2225, 13280, 39347, 258, 5746, 274, 18668, 32757, 2421, 276, 9438, 14, 13686, 16, 188, 2515, 353, 434, 417, 811, 6181, 286, 28696, 12779, 327, 476, 14101, 276, 286, 561, 274, 2631, 1232, 28, 26934, 274, 2245, 15, 2523, 476, 513, 254, 1057, 16, 11389, 14, 353, 3032, 747, 248, 1887, 25530, 432, 272, 45161, 1925, 2245, 15, 2523, 18695, 282, 248, 7656, 10056, 327, 14120, 338, 18, 18, 6320, 10833, 16, 33626, 14, 1002, 603, 248, 18695, 4307, 14, 353, 650, 321, 37007, 282, 15099, 959, 276, 254, 25062, 274, 272, 4977, 33, 188, 510, 2843, 311, 327, 14, 248, 6734, 274, 248, 1250, 841, 254, 7757, 13941, 14, 254, 6146, 15, 10037, 18695, 274, 2245, 11528, 332, 484, 423, 3955, 3684, 16, 496, 272, 15645, 4713, 2687, 14, 353, 2350, 432, 1129, 4434, 683, 254, 13413, 274, 272, 12754, 282, 254, 1921, 274, 248, 13350, 274, 7340, 16, 2028, 254, 7270, 4574, 27833, 14, 254, 3377, 1631, 327, 573, 19753, 353, 369, 13286, 713, 254, 2563, 286, 2269, 327, 7325, 254, 10056, 2966, 16, 443, 2998, 5674, 15196, 347, 779, 12209, 1903, 10864, 3333, 188, 47024, 434, 3638, 274, 2025, 37732, 8375, 441, 327, 254, 2245, 15, 2523, 360, 3051, 276, 807, 1354, 1241, 1015, 4797, 16, 731, 807, 321, 348, 6333, 348, 248, 2741, 1708, 16, 731, 807, 6783, 888, 328, 3038, 747, 254, 2471, 274, 248, 14845, 14, 276, 533, 1068, 603, 368, 4149, 2019, 2151, 276, 254, 1057, 3758, 368, 650, 980, 597, 888, 830, 368, 2956, 16, 19957, 14, 2245, 15, 2523, 807, 6783, 21988, 747, 248, 25860, 16, 1838, 533, 311, 353, 33, 188, 2515, 282, 1074, 561, 603, 254, 10056, 311, 6333, 14, 360, 872, 282, 2475, 254, 14236, 274, 248, 1623, 1887, 18490, 16, 2003, 434, 830, 15196, 3144, 276, 16, 731, 3303, 254, 3278, 1921, 274, 254, 33283, 286, 27582, 19811, 276, 254, 22425, 22501, 3981, 16, 8995, 19811, 497, 3948, 276, 374, 18, 18, 21, 14, 286, 327, 3419, 33781, 398, 248, 5278, 274, 29035, 16, 1260, 248, 898, 14, 360, 865, 327, 328, 254, 6081, 24001, 4172, 772, 10056, 311, 6333, 16, 188, 1130, 7613, 561, 327, 248, 6333, 10056, 311, 9308, 16, 2003, 434, 974, 756, 248, 6333, 10056, 311, 2692, 282, 452, 1663, 432, 2631, 16, 188, 6972, 852, 254, 10056, 751, 512, 436, 2269, 33, 378, 15424, 5159, 14, 353, 774, 417, 452, 573, 282, 751, 665, 16, 2003, 434, 974, 1033, 1740, 276, 254, 10056, 10238, 12571, 14, 13864, 642, 4960, 2502, 353, 16, 826, 38658, 254, 2269, 2961, 282, 2706, 254, 2563, 276, 254, 801, 1619, 16, 188, 1130, 434, 248, 2298, 747, 272, 1668, 15, 33681, 10225, 4172, 16, 1395, 476, 1649, 248, 5374, 2713, 328, 580, 1874, 14, 593, 1034, 348, 353, 311, 16186, 407, 272, 4363, 2713, 328, 254, 642, 16, 496, 254, 1068, 274, 254, 10056, 14, 254, 2563, 4424, 328, 580, 1874, 274, 254, 4172, 14, 286, 555, 282, 321, 16186, 407, 12571, 16, 188, 1853, 2486, 360, 1038, 625, 452, 1837, 1885, 327, 642, 6791, 266, 2159, 16, 1268, 1996, 1026, 14, 836, 5532, 1862, 248, 2560, 743, 4355, 282, 254, 12270, 347, 7849, 324, 2631, 3333, 0, 1843, 669, 348, 248, 628, 274, 254, 15471, 14550, 14, 248, 6338, 899, 267, 2371 ]
[ 1, 7228, 14, 16919, 14, 2086, 457, 85, 39414, 14, 6707, 2244, 14, 15411, 2244, 286, 624, 536, 188, 42851, 15, 484, 14166, 1146, 576, 24, 24, 33417, 16, 648, 16, 428, 813, 24, 27, 33417, 16, 648, 16, 0, 72, 17107, 8255, 250, 470, 19, 26859, 437, 511, 5092, 3051, 32356, 1204, 16, 10903, 1275, 54, 16, 3122, 11542, 16, 7927, 28907, 90, 5092, 16, 188, 19433, 7106, 4870, 25, 24, 44, 8806, 41, 635, 75, 53, 20500, 19, 36208, 45650, 43040, 4437, 35, 759, 981, 2433, 384, 275, 954, 44, 8806, 41, 635, 75, 53, 20500, 19, 46077, 76, 1169, 35, 759, 981, 2433, 384, 275, 600, 72, 570, 18, 27, 954, 79, 9356, 5616, 46, 6654, 6539, 55, 23, 53, 2605, 466, 23958, 46, 2736, 5970, 14667, 4387, 29312, 24, 27, 954, 5025, 16162, 37, 820, 46, 727, 560, 91, 56, 6422, 67, 15518, 37368, 5025, 16162, 37, 820, 954, 57, 423, 654, 662, 1688, 36, 9356, 45, 737, 36208, 45650, 43040, 4437, 2721, 4951, 36738, 25031, 954, 79, 9356, 5616, 29312, 91, 44, 359, 466, 43, 392, 266, 15954, 37660, 2200, 7278, 5920, 954, 48, 20294, 283, 52, 2299, 67, 58, 44138, 91, 46, 2736, 45677, 19830, 35, 315, 37, 41600, 954, 36, 2611, 3745, 5061, 6367, 36, 2611, 3745, 5061, 6367, 43319, 30625, 1934, 20393, 22908, 11542, 954, 42968, 91, 52, 5832, 334, 3125, 91, 491, 251, 13199, 43843, 24144, 8450, 466, 44602, 954, 46, 6654, 6539, 55, 23, 43, 392, 266, 15954, 46, 727, 560, 91, 7703, 68, 19, 71, 53, 11754, 5646, 954, 20034, 77, 38, 1829, 38, 1829, 35, 544, 15661, 3149, 8504, 38019, 405, 91, 46, 2736, 954, 188, 53, 2605, 466, 23958, 46, 2736, 1207, 27198, 560, 776, 39, 68, 2344, 54, 266, 23958, 1128, 5576, 58, 25031, 954, 16343, 1779, 4100, 5106, 46, 727, 560, 91, 42968, 91, 52, 5832, 334, 600, 72, 570, 18, 27, 954, 8450, 466, 44602, 33202, 45736, 6539, 24, 27, 19296, 19294, 2554, 37, 9216, 42968, 91, 52, 5832, 334, 954, 43237, 18943, 56, 3484, 58, 2345, 29092, 9534, 885, 17671, 10876, 50, 466, 15600, 28907, 90, 5092, 954, 9088, 312, 395, 69, 710, 268, 9088, 312, 395, 69, 710, 268, 44, 2278, 4100, 6691, 42, 30098, 1176, 4834, 91, 1229, 17612, 46, 954, 20034, 77, 38, 1829, 44, 8806, 41, 635, 75, 53, 20500, 19, 46, 727, 560, 91, 13975, 46026, 293, 954, 29675, 85, 36, 462, 39041, 2515, 6669, 7703, 68, 19, 71, 53, 11754, 5646, 6230, 9385, 5319, 46, 18696, 20, 37, 5367, 954, 12878, 91, 49, 8477, 33202, 45736, 6539, 24, 27, 44, 2278, 4100, 6691, 42, 2339, 15639, 47, 6553, 954, 19433, 7106, 4870, 25, 24, 28857, 1275, 17747, 1344, 75, 42839, 1119, 268, 4271, 318, 406, 12018, 954, 20, 20393, 8246, 654, 22, 55, 19296, 19294, 2554, 37, 9216, 29312, 91, 44, 359, 466, 3722, 8810, 13270, 277, 251, 954, 9088, 312, 395, 69, 710, 268, 44005, 29312, 5092, 24, 27, 39, 68, 2344, 54, 266, 46, 334, 3990, 27885, 1578, 954, 0, 4412, 4703, 360, 457, 70, 321, 276, 254, 2504, 324, 248, 1603, 1842, 14, 500, 457, 85, 37322, 255, 12129, 441, 282, 520, 1683, 328, 767, 6558, 282, 2445, 597, 324, 248, 1362, 7213, 282, 27791, 16, 33260, 343, 756, 248, 3588, 286, 641, 2634, 3520, 274, 254, 2758, 314, 8915, 324, 254, 38738, 2380, 11, 360, 13556, 276, 254, 1096, 286, 867, 742, 328, 272, 15425, 16, 2646, 248, 1603, 47311, 1774, 387, 254, 6023, 4516, 14, 1648, 17424, 85, 324, 254, 1515, 12048, 314, 2965, 328, 327, 1938, 11, 286, 248, 9568, 247, 1085, 2139, 14, 360, 4574, 12317, 387, 254, 8307, 8258, 31836, 16, 188, 686, 1596, 282, 695, 35534, 19336, 975, 14, 27791, 311, 254, 1683, 274, 272, 10142, 35645, 274, 7179, 654, 286, 16527, 16, 31477, 4684, 282, 751, 3542, 1045, 974, 626, 434, 282, 1181, 282, 915, 286, 513, 282, 1623, 2035, 16, 839, 8288, 1828, 328, 248, 31905, 286, 2263, 276, 254, 8418, 10066, 432, 254, 1773, 1063, 15468, 276, 11556, 27714, 457, 85, 367, 38157, 286, 4419, 772, 1026, 1444, 16, 0, 40, 24731, 266, 29603, 311, 248, 580, 15, 1153, 15, 67, 15, 10962, 1360, 274, 16961, 15, 2867, 4776, 2697, 714, 371, 301, 285, 432, 25035, 714, 371, 301, 2684, 2939, 38860, 401, 252, 1662, 67, 286, 427, 2206, 338, 19, 22, 24, 16, 1180, 254, 338, 26, 10244, 14, 714, 371, 8579, 311, 34637, 286, 3893, 10375, 16, 496, 254, 2379, 8435, 274, 14752, 14, 254, 6309, 659, 497, 4255, 282, 248, 27582, 14, 20210, 41746, 4189, 16, 826, 14997, 714, 371, 8579, 311, 254, 16693, 2066, 276, 254, 1499, 2966, 16, 3467, 377, 1723, 638, 1106, 7831, 2045, 403, 247, 3060, 407, 27178, 274, 28076, 14, 8293, 8392, 14, 286, 3524, 13962, 16, 0, 35, 17149, 324, 295, 15, 8397, 273, 282, 9113, 286, 254, 12059, 16, 188, 1853, 1125, 274, 368, 865, 14, 254, 1274, 250, 994, 311, 248, 671, 274, 295, 15, 25001, 14, 28894, 286, 44953, 274, 1668, 2269, 16, 330, 1247, 1026, 282, 16545, 436, 2269, 5176, 311, 343, 248, 38904, 5251, 5818, 8754, 17149, 16, 826, 8754, 311, 25245, 282, 3944, 340, 14, 38904, 1392, 14, 20049, 286, 33196, 759, 328, 254, 3405, 14, 8756, 286, 12096, 1245, 16, 731, 457, 85, 669, 248, 1247, 1026, 282, 3555, 258, 286, 32030, 459, 254, 4458, 343, 4684, 16, 188, 48, 454, 6247, 5818, 4268, 343, 34030, 14, 28345, 286, 38961, 16, 188, 686, 24946, 4220, 12895, 324, 3655, 9694, 432, 5818, 516, 6997, 1915, 14, 747, 39953, 14, 2977, 14, 5548, 7501, 258, 4770, 14, 8609, 14, 10414, 14, 20346, 5728, 14, 2977, 14, 43794, 14, 3838, 16, 188, 12, 22758, 248, 16688, 274, 13857, 5980, 29998, 314, 70, 15312, 14, 4402, 75, 14, 260, 518, 482, 11, 713, 248, 8350, 390, 37857, 649, 6057, 282, 2706, 248, 11370, 16, 188, 10568, 1890, 328, 5818, 1921, 368, 457, 619, 872, 282, 4432, 6169, 15236, 16, 188, 12510, 353, 597, 248, 37487, 286, 15932, 14129, 274, 5980, 29998, 1209, 80, 8656, 328, 633, 25095, 286, 8846, 282, 2490, 33196, 8692, 16, 188, 40455, 248 ]
[ 1, 813, 18, 4945, 4479, 282, 8838, 385, 15, 2641, 13207, 2874, 343, 688, 274, 2966, 434, 944, 1726, 5342, 286, 8189, 15, 4768, 3265, 16, 188, 23471, 3, 731, 457, 85, 888, 959, 286, 8522, 286, 1755, 683, 2378, 16, 826, 311, 254, 3138, 295, 3719, 274, 254, 2142, 457, 85, 944, 7656, 271, 753, 80, 776, 5095, 17436, 6915, 16, 1270, 10947, 495, 20, 23, 2135, 7180, 16, 31878, 924, 2545, 28302, 14, 3609, 14, 2014, 14, 785, 14, 3026, 14, 286, 1181, 624, 16, 0, 36, 664, 361, 706, 40095, 3473, 5473, 2380, 785, 276, 12839, 648, 252, 14, 15372, 16, 1260, 248, 2057, 15, 10337, 8322, 21663, 9169, 254, 12839, 648, 252, 2104, 1544, 338, 27, 24, 18, 14, 360, 403, 633, 563, 15, 927, 8322, 9804, 16, 1286, 368, 872, 8715, 2497, 432, 272, 5473, 753, 14, 772, 2214, 274, 687, 338, 18, 18, 311, 9884, 16, 2028, 368, 1074, 272, 11243, 5527, 286, 368, 457, 251, 417, 2056, 663, 282, 1052, 14, 1052, 441, 16, 4186, 6191, 286, 37570, 24119, 390, 12660, 15197, 14, 282, 3183, 47473, 390, 10969, 286, 4242, 2896, 24119, 16, 188, 21511, 633, 2545, 8460, 3256, 15270, 272, 19001, 390, 254, 2150, 286, 12343, 274, 248, 3316, 8322, 975, 324, 633, 12839, 648, 252, 1683, 390, 2072, 14, 360, 785, 282, 5256, 7528, 12852, 16, 839, 403, 16753, 14, 29654, 286, 18859, 276, 254, 2341, 274, 15372, 324, 633, 6158, 274, 2482, 16, 188, 36, 664, 361, 286, 40095, 3473, 5961, 512, 9104, 274, 15803, 286, 6092, 8322, 785, 276, 12839, 648, 252, 14, 1648, 12660, 15197, 14, 20398, 14, 16972, 24119, 14, 6191, 24119, 14, 1656, 6540, 15197, 14, 10046, 273, 2150, 14, 5415, 14, 10969, 14, 706, 931, 24119, 14, 3860, 15197, 14, 18847, 74, 22220, 286, 45492, 5210, 24119, 14, 757, 15740, 15197, 14, 286, 5473, 5212, 32972, 16, 188, 36, 664, 361, 286, 40095, 3473, 20537, 10743, 12839, 648, 252, 14, 15372, 314, 7219, 11, 276, 374, 19, 19, 19, 22, 16, 839, 3831, 17511, 5473, 2380, 324, 1081, 15803, 286, 6092, 6211, 4619, 254, 12839, 648, 252, 2104, 16, 0, 11252, 9157, 12913, 1220, 650, 1041, 248, 3183, 7605, 2815, 19682, 6450, 4611, 3, 731, 1817, 321, 3837, 4344, 282, 915, 436, 9478, 276, 1491, 1464, 276, 836, 9569, 16, 310, 2602, 747, 353, 3136, 248, 2298, 14, 327, 434, 2075, 310, 4904, 353, 597, 3, 0, 3380, 361, 2627, 910, 5961, 248, 4474, 2413, 274, 3556, 13164, 286, 3556, 12343, 3134, 282, 772, 6211, 276, 43151, 16, 839, 669, 2650, 286, 8478, 3556, 30547, 16, 1993, 476, 321, 3960, 286, 933, 321, 11298, 282, 4598, 14, 593, 603, 368, 1141, 368, 452, 1840, 14, 1862, 441, 248, 1052, 16, 0, 11000, 24909, 476, 8107, 763, 3065, 24909, 476, 8107, 3065, 24909, 476, 8107, 343, 5372, 16033, 16, 188, 11000, 24909, 476, 8107, 3065, 24909, 476, 8107, 39034, 17169, 867, 324, 2653, 5553, 343, 5372, 299, 2280, 8352, 5158, 8392, 8553, 8350, 10062, 476, 2067, 3065, 24909, 476, 8107, 867, 16, 188, 11000, 24909, 476, 8107, 3065, 24909, 10062, 8350, 8392, 476, 8107, 3065, 8350, 476, 2067, 24909, 8350, 476, 2067, 24909, 8350, 8121, 3065, 24909, 476, 8107, 16, 188, 11000, 24909, 476, 8107, 2815, 1470, 3065, 24909, 476, 8107, 324, 7096, 16, 188, 11000, 24909, 476, 8107, 279, 1169, 20518, 476, 2067, 867, 24909, 476, 8107, 867, 274, 576, 3065, 279, 1169, 20518, 8352, 476, 2067, 867, 3065, 24909, 476, 8107, 33914, 16, 188, 11000, 24909, 476, 8107, 8352, 476, 2067, 867, 24909, 3065, 24909, 476, 2067, 867, 24909, 476, 8107, 867, 274, 495, 2718, 3065, 3406, 9109, 3065, 24909, 476, 8107, 343, 13906, 299, 2280, 16, 188, 11000, 24909, 476, 8107, 495, 3065, 24909, 4996, 2426, 1487, 8352, 37857, 476, 2067, 39034, 6699, 2029, 35234, 260, 40982, 3065, 24909, 476, 8107, 867, 16, 188, 11000, 24909, 476, 8107, 448, 366, 1896, 3065, 24909, 476, 2067, 867, 3065, 24909, 476, 8107, 324, 7096, 16, 188, 11000, 24909, 476, 8107, 8352, 24909, 476, 8107, 5085, 13940, 1416, 8352, 476, 2067, 5085, 13393, 576, 2037, 67, 3065, 24909, 8352, 476, 2067, 867, 4647, 24909, 8352, 476, 2067, 5085, 3065, 24909, 476, 8107, 16, 188, 11000, 24909, 476, 8107, 3065, 24909, 476, 8107, 324, 254, 8352, 27026, 7047, 4647, 3065, 871, 4389, 19610, 24909, 8392, 476, 2067, 3065, 24909, 8352, 476, 2067, 5085, 16, 188, 11000, 24909, 476, 8107, 2537, 3065, 24909, 476, 8107, 3065, 24909, 476, 8107, 867, 16, 188, 11000, 24909, 476, 8107, 13700, 282, 1689, 5224, 4647, 286, 3065, 24909, 476, 2067, 867, 16, 188, 11000, 24909, 476, 8107, 3065, 24909, 8352, 476, 8107, 4647, 3065, 476, 2067, 867, 2718, 476, 2067, 867, 8352, 4678, 476, 8107, 1733, 8352, 476, 8107, 3065, 24909, 476, 8107, 343, 30231, 9927, 299, 2280, 16, 188, 11000, 24909, 476, 8107, 3065, 24909, 8352, 476, 8107, 3065, 24909, 8352, 476, 8107, 3065, 24909, 8352, 476, 8107, 476, 2067, 867, 2718, 286, 3065, 24909, 8352, 476, 8107, 3065, 24909, 476, 8107, 260, 16, 188, 11000, 24909, 476, 8107, 3065, 24909, 476, 8107, 742, 3065, 24909, 476, 8107, 16, 188, 11000, 24909, 476, 8107, 3065, 24909, 13823, 8352, 391, 5085, 1733, 1921, 274, 2653, 867, 4647, 286, 3065, 24909, 13823, 3065, 24909, 2653, 476, 8107, 16, 188, 11000, 24909, 476, 8107, 374, 274, 495, 1677, 18098, 867, 274, 495, 3065, 24909, 476, 8107, 448, 1711, 3065, 24909, 476, 8107, 33914, 16, 188, 11000, 24909, 476, 8107, 3065, 3065, 6106, 24909, 476, 2067, 867, 16, 188, 11000, 24909, 476, 8107, 29840, 24909, 476, 8107, 6814, 252, 389, 3065, 24909, 576, 3065, 476, 2067, 867, 3065, 6106, 24909, 476, 2067, 867, 16, 188, 11000, 24909, 476, 8107, 38182, 4502, 3065, 24909, 476, 2067, 476, 8107, 8121, 4829, 8352, 3065, 24909, 476, 8107, 33914, 16, 188, 11000, 24909, 476, 8107, 1733, 1921, 274, 8352, 5553, 8553, 10494, 10062, 8350, 8392, 5553, 39034, 495, 5158, 24909, 476, 2067, 2718, 286, 3065, 24909, 476, 2067, 867, 16, 188, 11000, 24909, 476, 8107, 2382, 274, 3065, 8352, 476, 2067, 867, 13511, 3065, 8352, 476, 8107, 324, 1525, 476, 2067, 5085, 3065, 3065, 24909, 8352, 476, 2067, 5085, 16, 188, 11000, 24909 ]
[ 1, 626, 403, 3956, 282, 513, 327, 343, 15662, 3189, 16, 354, 1126, 404, 254, 3065, 1872, 343, 440, 325, 38207, 8102, 14, 27599, 4678, 3828, 286, 21821, 446, 1207, 14, 286, 248, 3065, 6217, 5798, 15886, 16, 41384, 248, 14133, 13978, 15, 11390, 3189, 4680, 254, 45647, 14, 835, 22015, 343, 18183, 10040, 14, 37049, 14, 286, 27263, 16, 380, 898, 311, 248, 8352, 327, 8950, 2674, 1145, 1532, 268, 1269, 1129, 4196, 3065, 16, 188, 29985, 1146, 17488, 8352, 8700, 2741, 16, 5230, 8352, 8700, 11490, 16, 1330, 8352, 8700, 374, 32150, 16, 8352, 8700, 32150, 2104, 16, 4829, 8352, 8700, 2741, 16, 27599, 1708, 8352, 8700, 32150, 16, 17488, 3925, 8700, 16, 6106, 8352, 8700, 32150, 16, 1015, 8352, 17052, 16, 8352, 8700, 343, 332, 22944, 20645, 16, 188, 1031, 1206, 85, 328, 5945, 27613, 12268, 8029, 31913, 13171, 7042, 23144, 5065, 16497, 3775, 655, 1704, 255, 40028, 5153, 35299, 22861, 30938, 19905, 6055, 404, 26933, 9611, 11062, 5153, 31198, 273, 21067, 32002, 483, 401, 14420, 293, 323, 746, 14608, 15897, 30835, 8228, 33, 0, 33420, 11211, 9397, 706, 22596, 15174, 13223, 91, 22178, 569, 587, 2864, 1024, 2247, 254, 3860, 12387, 324, 45183, 14, 1527, 254, 3225, 7890, 276, 7580, 14, 387, 616, 12699, 21197, 706, 16027, 1402, 29123, 314, 50, 2229, 11, 343, 8825, 1673, 11047, 443, 3102, 2728, 328, 6612, 374, 18, 4452, 14, 338, 15, 21, 2534, 16, 496, 272, 4429, 343, 31158, 19571, 6645, 22178, 569, 34900, 254, 3418, 701, 587, 321, 7919, 282, 2234, 2728, 1648, 748, 3373, 836, 2169, 274, 3284, 452, 11841, 14, 1081, 276, 2349, 274, 254, 4681, 328, 46690, 286, 276, 44841, 665, 2365, 3015, 27986, 16, 188, 1590, 1130, 2427, 625, 1767, 748, 4448, 532, 353, 457, 85, 248, 2055, 276, 254, 977, 3758, 324, 3997, 666, 330, 1963, 311, 9375, 615, 9205, 282, 4419, 13843, 1527, 248, 32941, 387, 615, 1963, 1683, 276, 45183, 16, 13794, 1472, 3580, 286, 10826, 457, 85, 2835, 286, 1074, 561, 843, 1515, 264, 796, 8205, 555, 3849, 282, 2675, 5351, 869, 729, 286, 473, 619, 466, 14, 254, 26545, 16, 380, 2986, 555, 643, 4299, 1285, 5461, 11408, 264, 796, 8074, 12315, 14, 533, 11098, 6252, 8205, 10724, 2362, 254, 1499, 1663, 2292, 282, 6975, 11570, 274, 1515, 264, 796, 8205, 314, 52, 44, 11, 286, 695, 2675, 6786, 328, 1093, 5709, 407, 6442, 16, 188, 8504, 5707, 17153, 14, 38888, 11408, 264, 796, 8074, 15381, 324, 45183, 11118, 254, 11408, 264, 796, 8074, 1213, 286, 843, 353, 476, 1336, 1093, 5709, 407, 6442, 282, 8478, 254, 5083, 16, 188, 7639, 3751, 327, 348, 274, 4423, 374, 18, 19, 26, 254, 16077, 5471, 880, 621, 311, 641, 3248, 2066, 16, 1395, 476, 1074, 642, 1336, 286, 1305, 324, 8994, 6442, 1045, 16, 188, 50, 2564, 13223, 91, 22178, 569, 555, 9831, 248, 1321, 20549, 282, 915, 603, 8583, 403, 5320, 282, 2014, 272, 2982, 2332, 939, 615, 6284, 13291, 324, 46690, 276, 45183, 16, 32611, 282, 436, 4429, 14, 10397, 328, 14161, 19571, 14, 282, 1074, 561, 624, 668, 254, 7935, 18062, 286, 843, 368, 476, 452, 633, 1309, 16, 188, 1253, 513, 2784, 942, 1623, 1141, 274, 254, 3398, 33, 2003, 369, 254, 1897, 327, 369, 9325, 387, 254, 45183, 23033, 5240, 457, 85, 314, 13915, 37, 11, 2714, 5025, 1673, 35011, 457, 12304, 387, 254, 2371, 16046, 11909, 20611, 888, 276, 4257, 16, 380, 18509, 37, 457, 85, 495, 26, 2672, 14, 10375, 338, 23, 282, 374, 23, 14, 3443, 615, 4202, 286, 12298, 282, 687, 338, 23, 18, 12603, 327, 2818, 45183, 9397, 706, 22596, 15174, 13223, 91, 22178, 569, 14, 8825, 1673, 11047, 443, 3102, 2728, 16, 188, 5910, 274, 772, 45183, 22208, 398, 9, 5240, 314, 20248, 11, 2672, 3970, 7360, 343, 15071, 45183, 434, 22412, 35339, 14, 5859, 839, 262, 92, 14, 668, 615, 2472, 276, 254, 18563, 286, 843, 353, 311, 4782, 5498, 8583, 276, 254, 9382, 248, 4179, 328, 46690, 286, 6442, 16, 188, 37588, 12763, 311, 248, 1922, 18927, 533, 18248, 286, 8302, 15543, 282, 2411, 2714, 42342, 457, 286, 3831, 248, 2244, 276, 615, 1193, 8841, 282, 248, 2784, 20166, 1408, 16, 731, 3970, 2865, 248, 7943, 23, 14, 18, 18, 18, 8141, 3966, 432, 254, 367, 2564, 434, 10118, 1556, 276, 45183, 10696, 16, 13794, 436, 2094, 2986, 282, 1074, 561, 668, 12616, 12763, 434, 785, 286, 254, 2967, 353, 1143, 282, 7200, 14, 663, 369, 13952, 7036, 328, 254, 9931, 274, 44694, 16, 188, 1853, 628, 274, 8707, 255, 6317, 434, 6086, 45183, 22208, 398, 9, 5240, 314, 20248, 11, 3442, 286, 378, 903, 18077, 14147, 5018, 460, 9596, 369, 19527, 407, 11058, 5427, 5390, 668, 616, 2472, 276, 254, 18563, 286, 695, 6177, 282, 5498, 942, 276, 45183, 16, 5018, 460, 7360, 668, 616, 9664, 327, 5498, 942, 403, 2156, 12489, 286, 1143, 282, 1872, 327, 615, 6667, 1038, 625, 1359, 286, 616, 4328, 324, 1093, 663, 403, 6824, 390, 10801, 432, 41533, 16, 0, 41, 18106, 248, 10060, 3809, 248, 2187, 274, 1837, 785, 14, 533, 311, 2075, 353, 457, 85, 593, 28102, 670, 633, 6073, 403, 1129, 21507, 407, 269, 6478, 16, 32648, 403, 248, 6296, 324, 512, 3395, 274, 21703, 14, 1125, 274, 533, 403, 2602, 12557, 28, 12339, 25078, 14, 32401, 17493, 2918, 14, 14390, 27996, 14, 21481, 30508, 14, 286, 36444, 89, 721, 403, 2124, 254, 21703, 327, 403, 2696, 9123, 276, 10060, 12274, 16, 12182, 14, 1125, 642, 3395, 274, 269, 6478, 403, 19063, 282, 22580, 286, 933, 321, 7110, 4400, 286, 15353, 1269, 5083, 273, 633, 10060, 16, 188, 10949, 4059, 10665, 28, 1993, 403, 27458, 7854, 14129, 327, 3709, 6073, 276, 254, 10060, 1269, 916, 967, 273, 729, 14, 14809, 254, 10060, 432, 1330, 269, 6478, 286, 21703, 16, 188, 26448, 5279, 19927, 28, 2640, 633, 6073, 5279, 1788, 3112, 14, 21703, 774, 452, 248, 11820, 671, 4419, 615, 8778, 11176, 286, 403, 624, 7136, 282, 615, 34845, 16, 188, 3380, 386, 12557, 16401, 6073, 28, 33808, 26556, 286, 6073, 14, 819, 348, 16936, 390, 34508, 14, 452, 248, 2196, 40453, 327, 2893, 963, 282, 1920, 248, 5081, 274, 21703, 1919, 16 ]
[ 1, 18620, 378, 13207, 4595, 314, 294, 40527, 34, 22903, 16, 679, 11, 188, 5, 826, 2063, 311, 276, 254, 1321, 4877, 188, 5, 2438, 11011, 188, 3933, 17880, 1369, 4756, 30354, 188, 2855, 295, 534, 188, 5, 1676, 12285, 324, 10752, 17, 16662, 971, 2472, 2426, 16, 188, 5, 444, 16, 73, 16, 1146, 1554, 29264, 1139, 66, 428, 801, 8987, 1361, 311, 347, 1554, 985, 1250, 1361, 311, 347, 1139, 4, 188, 5, 188, 13554, 1791, 65, 11669, 4100, 426, 295, 16, 25166, 10, 84, 5141, 1023, 89, 13, 2192, 66, 10, 5027, 66, 63, 5463, 66, 3291, 188, 188, 22795, 20381, 426, 4756, 30354, 2012, 22795, 20381, 1358, 684, 1554, 9162, 3291, 534, 188, 1510, 13882, 899, 10, 5826, 14, 13689, 14, 27454, 31, 5296, 2192, 477, 11916, 1477, 477, 11916, 477, 9162, 426, 1470, 16, 27665, 1465, 1800, 46867, 958, 403, 5802, 428, 360, 872, 282, 7950, 4373, 729, 282, 751, 4960, 16, 477, 27454, 426, 543, 50, 10, 5826, 14, 13689, 11, 324, 367, 276, 27454, 63, 1465, 1800, 41807, 254, 9162, 282, 32079, 477, 32079, 426, 295, 16, 8909, 10, 84, 11355, 80, 62, 80, 13, 1358, 9162, 11, 477, 324, 883, 14, 269, 276, 47859, 10, 41849, 85, 2192, 647, 32079, 61, 75, 63, 426, 20453, 82, 27155, 558, 269, 16, 13114, 2012, 62, 80, 1358, 684, 45187, 558, 41872, 82, 27155, 1465, 9162, 426, 17600, 80, 62, 80, 5813, 13575, 10, 41849, 85, 11, 1465, 1800, 9720, 9253, 276, 254, 9162, 16, 12761, 248, 1581, 274, 4105, 14, 830, 1004, 477, 1800, 628, 311, 1996, 2426, 327, 555, 641, 9253, 276, 353, 14, 390, 248, 26777, 20381, 477, 1800, 1740, 16, 477, 799, 426, 470, 477, 4105, 426, 7954, 477, 1205, 11475, 28, 647, 3637, 426, 16177, 1791, 65, 11669, 4100, 16, 8488, 10, 27665, 14, 799, 11, 647, 603, 3637, 311, 8037, 28, 926, 4105, 16, 9436, 10, 27665, 61, 983, 28, 3185, 926, 2654, 647, 4105, 16, 9436, 10, 27665, 61, 983, 28, 8757, 16, 5318, 1067, 3185, 647, 4105, 16, 9436, 10, 22795, 20381, 10, 8757, 16, 4259, 10, 19, 581, 3637, 16, 4259, 10, 20, 10409, 647, 799, 426, 3637, 16, 423, 1067, 1465, 1800, 25763, 27454, 282, 765, 328, 9253, 477, 324, 883, 14, 628, 276, 47859, 10, 30238, 2192, 647, 603, 45442, 10, 1945, 14, 26777, 20381, 2192, 926, 4105, 61, 75, 63, 426, 791, 16430, 65, 13114, 65, 13946, 10, 6421, 628, 16, 1554, 14, 628, 16, 27665, 14, 27454, 11, 1465, 1800, 10814, 2057, 9162, 888, 959, 14, 286, 1602, 27454, 282, 765, 328, 477, 1800, 9162, 16, 477, 9162, 426, 684, 5813, 13575, 10, 30238, 11, 477, 324, 269, 276, 27454, 28, 647, 9162, 65, 18644, 426, 269, 16, 784, 65, 27665, 65, 18644, 1067, 647, 603, 9162, 65, 18644, 28, 926, 9162, 426, 9162, 65, 18644, 10, 27665, 11, 1465, 1076, 9162, 534, 188, 1510, 791, 16430, 65, 13114, 65, 13946, 10, 1554, 14, 9162, 14, 27454, 2192, 477, 11916, 380, 801, 14769, 327, 21463, 436, 2472, 311, 900, 16, 477, 11916, 477, 324, 269, 276, 27454, 28, 647, 2472, 65, 18644, 426, 269, 16, 784, 65, 13946, 65, 18644, 10, 1554, 11, 647, 603, 2472, 65, 18644, 28, 926, 1076, 2472, 65, 18644, 10, 27665, 11, 477, 1800, 1286, 641, 14769, 10602, 436, 2472, 311, 1102, 14, 1076, 695, 3132, 825, 477, 1076, 684, 40285, 18, 16689, 66, 93, 19, 95, 66, 5813, 7910, 10, 1554, 14, 9162, 11, 2670, 0, 5, 33544, 11598, 17, 4655, 17, 12196, 15118, 21, 188, 5, 43384, 21576, 28, 17914, 15, 26, 428, 12, 188, 188, 2855, 7481, 188, 2855, 11555, 188, 2855, 2424, 262, 188, 188, 10134, 16, 3839, 16, 9436, 10, 375, 16, 3839, 16, 13575, 10, 375, 16, 258, 2335, 4862, 22116, 65, 35032, 15993, 684, 4514, 17, 18723, 188, 2855, 20230, 21872, 188, 188, 10134, 16, 3839, 16, 9436, 10, 375, 16, 3839, 16, 13575, 10, 375, 16, 258, 2335, 4862, 22116, 65, 4495, 14081, 15993, 684, 14418, 18723, 188, 188, 3933, 26777, 65, 8006, 1369, 2706, 65, 4396, 65, 5310, 14, 12566, 65, 4396, 65, 5310, 14, 751, 65, 6799, 65, 15349, 65, 13389, 14, 728, 65, 15323, 188, 188, 5238, 65, 26622, 426, 20230, 21872, 16, 5985, 21872, 1067, 188, 188, 84, 65, 1467, 426, 3476, 65, 26622, 16, 784, 65, 433, 262, 65, 21974, 1551, 1254, 8674, 65, 8674, 2719, 188, 5238, 65, 26622, 426, 8037, 188, 188, 339, 4623, 1554, 870, 2224, 347, 870, 7073, 870, 1356, 1465, 1800, 2706, 2472, 65, 3434, 477, 603, 417, 391, 65, 1467, 16, 18830, 2012, 646, 28, 455, 65, 13946, 45098, 647, 391, 65, 1467, 16, 92, 1855, 2012, 646, 28, 455, 65, 13946, 1358, 338, 14, 684, 15349, 3291, 647, 391, 65, 1467, 16, 92, 1855, 2012, 646, 28, 455, 65, 13946, 1358, 374, 14, 684, 28903, 297, 3291, 647, 391, 65, 1467, 16, 92, 1855, 2012, 646, 28, 455, 65, 13946, 1358, 495, 14, 684, 4396, 3291, 647, 391, 65, 1467, 16, 92, 1855, 2012, 646, 28, 455, 65, 13946, 1358, 576, 14, 684, 4396, 65, 2295, 65, 6505, 3291, 647, 391, 65, 1467, 16, 92, 1855, 2012, 646, 28, 455, 65, 13946, 1358, 607, 14, 684, 1073, 65, 7286, 3291, 1465, 21749, 426, 684, 15349, 34, 15349, 16, 2484, 9, 477, 9607, 426, 728, 65, 15323, 1067, 477, 603, 391, 65, 1467, 16, 18830, 2012, 4396, 65, 20904, 28, 15349, 34, 15349, 16, 2484, 45098, 647, 12566, 65, 4396, 65, 5310, 10, 19150, 14, 9607, 31, 15323, 14, 2472, 5313, 15349, 3291, 477, 1952, 28, 647, 2706, 65, 4396, 65, 5310, 10, 19150, 14, 9607, 14, 2472, 5313, 15349, 1358, 4145, 31, 4937, 11, 477, 10391, 426, 751, 65, 6799, 65, 15349, 65, 13389, 1067, 1465, 4145, 65, 5691, 13682, 65, 3039, 426, 7481, 16, 3839, 16, 13575, 10, 375, 16, 258, 2335, 4862, 22116, 65, 29755, 15993, 684, 24576, 65, 24845, 25116, 3291, 477, 282, 65, 6171, 65, 1320, 426, 24927, 43672, 39799, 407, 4145, 62, 80, 5, 826, 1819, 311, 16275, 841, 254, 801, 15718, 62, 80, 5, 62, 80, 12460, 31, 15349, 34, 15349, 16, 2484, 62, 80 ]
[ 1, 485, 11, 647, 9052, 426, 1581, 10, 12243, 16, 39375, 6472, 647, 1827, 16, 32793, 10, 4874, 10, 39375, 581, 338, 20, 11, 647, 324, 4873, 276, 9052, 28, 926, 1827, 16, 8052, 2433, 10961, 10, 12700, 14, 30214, 11, 926, 1827, 16, 32793, 10, 4874, 10, 12700, 581, 374, 11, 926, 1827, 16, 8052, 4937, 10, 262, 14552, 10, 12700, 61, 18, 1077, 378, 6263, 258, 485, 11, 390, 45442, 10, 12700, 61, 18, 1077, 18576, 6726, 1210, 926, 1827, 16, 8052, 4937, 10, 262, 14552, 10, 12700, 61, 19, 1077, 378, 6263, 258, 485, 11, 390, 45442, 10, 12700, 61, 19, 1077, 18576, 6726, 1210, 647, 10341, 65, 39375, 426, 543, 12700, 324, 4873, 276, 9052, 603, 45442, 10, 12700, 61, 18, 1077, 378, 6263, 258, 485, 11, 390, 45442, 10, 12700, 61, 19, 1077, 378, 6263, 258, 485, 8866, 647, 1827, 16, 32793, 10, 4874, 10, 25461, 65, 39375, 581, 813, 11, 1465, 804, 1056, 65, 39375, 65, 4026, 65, 25570, 65, 12243, 10, 1262, 2192, 647, 5049, 426, 378, 9087, 656, 10, 1775, 777, 567, 4324, 67, 14, 271, 14, 261, 581, 314, 70, 14, 300, 14, 314, 72, 14, 306, 14, 300, 22374, 985, 10341, 65, 24545, 31, 36, 6263, 258, 485, 11, 647, 9052, 426, 1581, 10, 12243, 16, 39375, 6472, 647, 1827, 16, 32793, 10, 4874, 10, 39375, 581, 338, 19, 11, 647, 324, 4873, 276, 9052, 28, 926, 1827, 16, 8052, 2433, 10961, 10, 12700, 14, 30214, 11, 926, 1827, 16, 32793, 10, 4874, 10, 12700, 581, 374, 11, 926, 1827, 16, 8052, 4937, 10, 262, 14552, 10, 12700, 61, 18, 1077, 378, 6263, 258, 485, 11, 390, 45442, 10, 12700, 61, 18, 1077, 18576, 6726, 1210, 926, 1827, 16, 8052, 4937, 10, 262, 14552, 10, 12700, 61, 19, 1077, 378, 6263, 258, 485, 11, 390, 45442, 10, 12700, 61, 19, 1077, 18576, 6726, 1210, 647, 10341, 65, 39375, 426, 543, 12700, 324, 4873, 276, 9052, 603, 45442, 10, 12700, 61, 18, 1077, 378, 6263, 258, 485, 11, 390, 45442, 10, 12700, 61, 19, 1077, 378, 6263, 258, 485, 8866, 647, 1827, 16, 32793, 10, 4874, 10, 25461, 65, 39375, 581, 848, 11, 188, 188, 339, 4623, 1554, 870, 2224, 684, 870, 7073, 870, 5141, 477, 440, 42933, 16, 7073, 1067, 188, 0, 5, 2111, 28, 27672, 31, 22, 5481, 8253, 15699, 31, 16199, 188, 22191, 22191, 6498, 4993, 188, 5, 8064, 314, 69, 11, 374, 18, 18, 26, 20677, 10995, 188, 5, 1822, 3453, 10544, 16, 826, 2024, 286, 254, 17399, 4605, 188, 5, 403, 1143, 2066, 758, 254, 2349, 274, 254, 31296, 5105, 4493, 362, 19, 16, 18, 188, 5, 533, 41876, 436, 3163, 14, 286, 311, 2066, 387, 188, 5, 3817, 1333, 2614, 16, 21176, 16, 2000, 17, 7482, 17, 71, 446, 15, 88, 19, 18, 16, 2880, 188, 5, 188, 5, 3162, 40836, 28, 188, 5, 7296, 354, 13964, 314, 45858, 11, 428, 3196, 6905, 188, 22191, 22191, 6498, 4993, 188, 188, 2855, 10096, 16, 3228, 16, 1204, 302, 298, 188, 3933, 3378, 1369, 3555, 12213, 188, 188, 1510, 5228, 65, 2406, 3149, 4371, 65, 25563, 10, 6048, 14, 24915, 4173, 8366, 31, 5489, 2192, 477, 11916, 477, 6064, 11310, 512, 19410, 4371, 276, 24748, 4522, 16, 477, 3817, 1333, 85, 2248, 1743, 16, 410, 9105, 16, 679, 17, 18, 23, 27, 24, 18, 18, 25, 27, 25, 21, 17, 16199, 28475, 20, 15, 2688, 50, 15, 19, 20, 15, 2282, 1607, 15, 24, 477, 11916, 477, 1800, 10077, 254, 1581, 274, 2426, 7430, 282, 5228, 314, 395, 757, 9525, 670, 2961, 11, 477, 5228, 65, 3434, 426, 543, 210, 4881, 477, 324, 1401, 276, 4522, 16, 6816, 29890, 28, 647, 603, 1401, 16, 6048, 2466, 2224, 10096, 16, 3228, 16, 6726, 16, 18543, 65, 37638, 28, 926, 1401, 16, 2137, 31, 6816, 16, 2137, 16, 24915, 1067, 647, 603, 1401, 16, 6048, 2466, 2224, 10096, 16, 3228, 16, 6726, 16, 18543, 65, 37638, 286, 417, 1401, 16, 2137, 16, 24915, 10, 45537, 926, 1800, 818, 436, 2426, 4522, 282, 254, 282, 15, 1234, 15, 1955, 3047, 1581, 926, 5228, 65, 3434, 16, 9436, 10, 6816, 11, 647, 27985, 1401, 16, 6923, 10101, 29890, 10, 45537, 926, 1800, 757, 9525, 14, 353, 434, 254, 21640, 1026, 282, 2874, 343, 254, 8259, 656, 926, 5228, 65, 2406, 3149, 4371, 65, 25563, 10, 6816, 11, 477, 1800, 1323, 254, 5170, 924, 477, 324, 4522, 276, 5228, 65, 3434, 28, 647, 4522, 16, 5434, 6726, 16, 11833, 10101, 10, 6048, 11, 647, 4522, 16, 329, 4352, 10, 2312, 188, 188, 1510, 7085, 65, 3228, 10, 3228, 19, 14, 3228, 20, 14, 24915, 4173, 8366, 31, 5489, 2192, 477, 1246, 31, 21723, 12213, 10, 3228, 19, 11, 477, 341, 31, 21723, 12213, 10, 3228, 20, 11, 477, 5228, 65, 2406, 3149, 4371, 65, 25563, 10, 90, 14, 24915, 4173, 8366, 11, 477, 5228, 65, 2406, 3149, 4371, 65, 25563, 10, 91, 14, 24915, 4173, 8366, 11, 477, 603, 10, 90, 16, 927, 7038, 1067, 381, 91, 16, 927, 7038, 1067, 2192, 647, 1076, 10, 4937, 11, 477, 1076, 10, 5489, 11, 188, 0, 31311, 38, 19191, 7336, 324, 785, 30450, 2133, 44438, 188, 2855, 13729, 188, 2855, 7481, 188, 2855, 11555, 188, 188, 22606, 65, 12906, 426, 7481, 16, 3839, 16, 43696, 18050, 3039, 31178, 188, 30548, 65, 12906, 426, 378, 9185, 65, 12906, 188, 10134, 16, 3839, 16, 9436, 10, 30548, 65, 12906, 11, 188, 188, 18289, 426, 11475, 188, 26515, 3733, 4815, 65, 18289, 426, 38808, 188, 188, 5, 380, 4629, 2427, 625, 1606, 282, 2602, 751, 20060, 456, 276, 188, 26515, 3733, 4815, 65, 23676, 65, 3676, 65, 34225, 426, 15923, 32254, 2554, 29155, 43, 8678, 24318, 85, 15812, 4, 188, 188, 2278, 47, 11643, 426, 314, 477, 1800, 11865, 6906, 9176, 1358, 684, 12206, 65, 12460, 34, 11351, 16, 679, 11162, 188, 11, 188, 188, 3663, 1298, 41, 5947, 426, 5286, 47, 11643, 188, 188, 339, 684, 29671, 36, 1374, 2688, 65, 35224, 2834, 1675, 1384, 9, 276, 7481, 16, 258, 2335, 28, 477, 39808, 2834, 1675, 1384, 426, 13729, 16, 2711, 85, 10, 375, 16, 258, 2335, 4862, 29671, 36 ]
[ 1, 4937, 14, 9650, 31, 4937, 9424, 926, 11865, 2668, 65, 10889, 1358, 1827, 16, 28914, 2012, 42706, 16, 5310, 16, 18730, 16, 14652, 16, 23384, 6009, 9, 2682, 14728, 65, 2582, 31, 4937, 14, 9650, 31, 4937, 9424, 926, 11865, 4396, 1358, 1827, 16, 28914, 2012, 42706, 16, 5310, 16, 18730, 16, 14652, 16, 4768, 16, 38577, 4664, 9, 2682, 927, 31, 525, 4862, 7, 85, 47812, 85, 9, 2384, 314, 6802, 3226, 13150, 16, 1194, 65, 1911, 14, 11140, 3226, 13150, 16, 5912, 65, 1554, 11, 3185, 581, 5896, 11865, 10968, 1358, 1827, 16, 28914, 2012, 42706, 16, 5310, 16, 18730, 16, 14652, 16, 4768, 16, 38577, 4664, 9, 2682, 6799, 31, 19, 14, 282, 31, 525, 4862, 36379, 16, 26395, 22673, 581, 926, 11865, 10968, 65, 75, 302, 1358, 1827, 16, 28914, 2012, 42706, 16, 5310, 16, 18730, 16, 14652, 16, 38818, 16014, 6009, 9, 2682, 5310, 65, 4519, 31, 4937, 14, 2694, 65, 3857, 31, 22, 14, 3515, 31, 4937, 14, 9650, 31, 4937, 9424, 926, 11865, 10968, 65, 13149, 1358, 1827, 16, 28914, 2012, 42706, 16, 5310, 16, 18730, 16, 14652, 16, 8436, 6009, 9, 2682, 5310, 65, 4519, 31, 4937, 14, 2694, 65, 3857, 31, 19, 18, 18, 14, 3515, 31, 4937, 14, 9650, 31, 4937, 9424, 926, 11865, 2668, 65, 15299, 1358, 1827, 16, 28914, 2012, 42706, 16, 5310, 16, 18730, 16, 14652, 16, 23384, 6009, 9, 2682, 6799, 31, 35007, 16, 35007, 16, 2582, 14, 3515, 31, 4937, 14, 13689, 65, 4519, 31, 4937, 9424, 926, 11865, 15415, 1358, 1827, 16, 28914, 2012, 42706, 16, 5310, 16, 18730, 16, 14652, 16, 24222, 6009, 9, 2682, 6799, 31, 5489, 14, 13689, 65, 4519, 31, 4937, 9424, 647, 38175, 647, 13689, 16, 12802, 65, 6767, 65, 26695, 10, 87, 9, 468, 8110, 1358, 14018, 36798, 22673, 2621, 1800, 34452, 354, 20, 47, 2741, 324, 1631, 11164, 65, 10968, 328, 684, 36798, 9, 647, 279, 20, 79, 65, 2343, 65, 1554, 426, 13689, 16, 14063, 258, 65, 1554, 10, 87, 9, 468, 8110, 65, 32075, 65, 16529, 5875, 65, 10968, 3291, 647, 13689, 16, 6767, 65, 2343, 10, 79, 20, 79, 65, 2343, 65, 1554, 14, 314, 926, 11865, 302, 1358, 3106, 16, 21478, 6009, 10, 47743, 65, 1554, 5313, 1787, 1358, 3505, 65, 2290, 31, 4937, 14, 6574, 65, 21651, 31, 4937, 9424, 926, 11865, 32075, 1358, 3106, 16, 38577, 4664, 10, 525, 61, 87, 9, 468, 8110, 16, 32075, 15993, 3515, 31, 5489, 9424, 926, 11865, 10968, 1358, 3106, 16, 38577, 4664, 10, 525, 61, 87, 434, 3149, 16, 10968, 15993, 3515, 31, 5489, 1210, 647, 38175, 647, 13689, 16, 6767, 65, 21831, 10, 79, 20, 79, 65, 2343, 65, 1554, 14, 14018, 32075, 65, 302, 1358, 684, 10968, 65, 302, 22673, 25178, 804, 23516, 10, 1262, 14, 390, 79, 2192, 647, 1800, 1569, 1044, 273, 1530, 684, 36798, 9, 647, 13689, 16, 15983, 65, 2343, 10, 87, 9, 468, 8110, 65, 32075, 3291, 2621, 1800, 6064, 11005, 354, 20, 47, 2741, 324, 1631, 11164, 65, 10968, 328, 684, 36798, 9, 647, 13689, 16, 15983, 65, 2343, 10, 5310, 16, 14063, 258, 65, 1554, 10, 87, 9, 468, 8110, 65, 32075, 65, 16529, 5875, 65, 10968, 18723, 25178, 3106, 426, 550, 647, 1453, 9, 7, 85, 47812, 85, 9, 2384, 314, 6802, 3226, 13150, 16, 1194, 65, 1911, 14, 11140, 3226, 13150, 16, 8414, 65, 1554, 2192, 550, 926, 684, 22347, 5141, 26491, 5912, 65, 1554, 5141, 11140, 24051, 1554, 870, 1965, 647, 3454, 647, 1453, 9, 14006, 16, 4259, 5141, 550, 926, 684, 22347, 5141, 26491, 5912, 65, 1554, 5141, 684, 6811, 34125, 926, 1453, 9, 302, 5141, 11865, 42706, 16, 5310, 16, 18730, 16, 14652, 16, 21478, 6009, 1358, 23567, 26491, 20777, 65, 2290, 5141, 684, 4937, 13614, 581, 926, 684, 1554, 5141, 11865, 42706, 16, 5310, 16, 18730, 16, 14652, 16, 8436, 6009, 1358, 23567, 26491, 21831, 5141, 684, 4937, 1358, 684, 3958, 65, 3857, 5141, 684, 26, 18, 13614, 581, 926, 684, 468, 8110, 5141, 11865, 42706, 16, 5310, 16, 18730, 16, 14652, 16, 4768, 16, 9928, 1934, 9928, 6009, 1358, 23567, 26491, 927, 5141, 1453, 4, 525, 4862, 14006, 16, 36798, 5868, 985, 684, 14370, 3773, 5364, 5141, 684, 5489, 1358, 684, 21782, 5141, 684, 4937, 9, 2240, 647, 3454, 647, 1453, 9, 14006, 16, 32075, 5141, 550, 926, 684, 22347, 5141, 26491, 46593, 5141, 7788, 87, 9, 5901, 65, 875, 870, 1194, 65, 1911, 1358, 1453, 9, 5901, 65, 875, 870, 7443, 1358, 1453, 9, 19303, 4963, 3291, 985, 684, 21831, 65, 35386, 5141, 347, 4324, 87, 9, 5901, 65, 875, 1358, 1453, 9, 19303, 4963, 11162, 22019, 684, 5912, 65, 1554, 5141, 684, 36798, 34125, 926, 684, 19303, 4963, 5141, 11865, 42706, 16, 5310, 16, 18730, 16, 14652, 16, 8436, 6009, 1358, 23567, 26491, 3958, 65, 3857, 5141, 684, 19, 18, 18, 13614, 581, 926, 684, 5901, 65, 875, 5141, 11865, 42706, 16, 5310, 16, 18730, 16, 14652, 16, 4768, 16, 38577, 4664, 1358, 23567, 26491, 927, 5141, 1453, 4, 525, 4862, 5901, 10424, 16, 8366, 2466, 5868, 9221, 926, 1453, 9, 302, 5141, 11865, 42706, 16, 5310, 16, 18730, 16, 14652, 16, 21478, 6009, 1358, 23567, 26491, 20777, 65, 2290, 5141, 684, 4937, 13614, 581, 926, 684, 1554, 5141, 11865, 42706, 16, 5310, 16, 18730, 16, 14652, 16, 8436, 6009, 1358, 23567, 26491, 3958, 65, 3857, 5141, 684, 23, 18, 9, 2240, 647, 3454, 647, 1453, 9, 5901, 10424, 16, 5901, 875, 5141, 550, 926, 684, 22347, 5141, 26491, 46593, 5141, 347, 2012, 1554, 1358, 22019, 684, 21831, 65, 35386, 5141, 7788, 2012, 1194, 65, 1911, 1358, 684, 7443, 11162, 22019, 684, 5912, 65, 1554, 5141, 684, 8366, 2466, 1358, 684, 5310, 65, 2343, 5141, 16690, 42706, 65, 5901, 65, 875, 9, 4831, 926, 684, 1194, 65, 1911, 5141, 11865, 42706, 16, 5310, 16, 18730, 16, 14652, 16, 8436, 6009, 1358, 23567, 26491, 3958, 65, 3857, 5141, 684, 19, 18, 18, 13614, 581, 926, 1453, 9, 302, 5141, 11865, 42706, 16, 5310, 16, 18730, 16, 14652, 16, 21478, 6009, 1358, 23567, 26491, 20777, 65, 2290, 5141, 684, 4937, 13614, 581, 926, 684, 7443, 5141, 11865, 42706, 16, 5310, 16 ]
[ 1, 2712, 2524, 16, 188, 22376, 282, 7274, 580, 324, 4128, 390, 1862, 580, 348, 248, 8901, 324, 2996, 1952, 1525, 254, 1689, 338, 20, 2524, 16, 188, 11460, 641, 5661, 282, 7274, 272, 300, 27051, 16, 0, 1230, 8995, 663, 4783, 26636, 23556, 328, 248, 13398, 3596, 24945, 624, 11401, 14, 2287, 10890, 3405, 5749, 14, 3428, 1755, 668, 615, 4701, 348, 248, 2560, 14, 286, 497, 624, 27687, 668, 254, 14726, 2065, 2352, 282, 1093, 663, 5781, 36745, 862, 390, 8993, 1464, 3284, 16, 188, 1230, 21012, 663, 4783, 26636, 10611, 497, 624, 2692, 282, 452, 1143, 4631, 2502, 1726, 3258, 7148, 314, 318, 4639, 281, 14, 42107, 286, 1738, 15, 3066, 11, 687, 248, 763, 15, 7586, 2114, 2352, 282, 5540, 276, 642, 5497, 2435, 16, 188, 1230, 330, 5157, 26636, 7076, 314, 1262, 15, 26048, 17891, 11, 343, 2784, 7544, 7174, 276, 2103, 2287, 2237, 274, 254, 2675, 2957, 274, 9761, 1232, 14, 22312, 14, 7246, 14, 31850, 6288, 286, 2269, 16, 188, 1230, 21012, 276, 254, 5157, 26636, 1580, 497, 624, 2692, 282, 1280, 1851, 6344, 2996, 343, 248, 3258, 1840, 390, 1851, 5740, 8756, 1305, 282, 1495, 16, 188, 1230, 496, 248, 3300, 274, 7544, 343, 38125, 33807, 2642, 14, 1093, 663, 4783, 26636, 23556, 7174, 276, 3564, 8101, 274, 1017, 2269, 2675, 11980, 85, 14, 248, 3564, 3177, 274, 5311, 4652, 282, 2489, 14, 624, 27687, 17010, 274, 580, 457, 85, 1464, 14, 286, 1755, 4456, 7271, 286, 4456, 3184, 16, 188, 1230, 12405, 663, 3819, 14047, 4536, 452, 624, 2675, 17701, 2502, 2079, 286, 615, 5703, 16, 188, 39763, 952, 601, 2225, 836, 1508, 669, 1606, 282, 913, 327, 26636, 2893, 10655, 274, 5839, 16, 11166, 26636, 311, 248, 6650, 628, 274, 944, 30076, 14, 345, 2225, 254, 5215, 8782, 282, 254, 2025, 2974, 14, 9892, 274, 5839, 390, 3367, 10175, 16, 496, 1665, 274, 520, 2479, 14, 8543, 952, 601, 5767, 327, 3655, 476, 2490, 615, 3177, 274, 963, 15, 11630, 286, 2706, 2675, 2591, 2456, 811, 432, 15067, 615, 40583, 16, 314, 510, 473, 8212, 831, 8267, 481, 188, 2515, 1649, 327, 21689, 24045, 328, 633, 2286, 1634, 286, 1862, 6524, 16, 188, 1516, 5690, 369, 9024, 276, 33662, 14, 14161, 10698, 14, 31490, 328, 4452, 374, 23, 14, 374, 18, 18, 27, 407, 44165, 2568, 386, 23083, 16, 0, 25253, 18620, 21881, 314, 20334, 20424, 236, 36799, 31898, 123, 11, 311, 248, 3561, 12887, 19850, 758, 4237, 13221, 407, 24373, 1426, 16, 1469, 1143, 616, 8311, 11082, 276, 374, 18, 19, 21, 328, 309, 88, 48, 457, 85, 14164, 39170, 16, 188, 15, 2899, 311, 432, 27914, 32161, 14, 3605, 443, 6506, 22994, 605, 14, 3561, 9476, 16, 188, 15, 2899, 11298, 9476, 14699, 4704, 4580, 286, 35170, 6342, 274, 254, 14699, 457, 8311, 7605, 16, 188, 15, 2899, 369, 20350, 758, 30233, 23132, 286, 401, 9182, 23132, 16, 188, 15, 2899, 5260, 276, 10799, 1412, 41862, 9963, 457, 85, 3327, 3379, 324, 310, 388, 366, 731, 276, 374, 18, 19, 21, 16, 188, 7176, 274, 8426, 18620, 21881, 434, 9253, 311, 633, 7383, 33, 0, 1111, 1676, 1807, 67, 310, 22667, 11026, 2620, 3574, 2755, 24694, 258, 369, 8739, 273, 44557, 324, 254, 6901, 5153, 19923, 457, 29123, 16, 18613, 254, 47802, 769, 26729, 1385, 671, 6423, 188, 6709, 521, 1676, 1807, 67, 310, 22667, 3574, 2755, 24694, 258, 3854, 1241, 22223, 5055, 41, 9163, 282, 6901, 5153, 28, 254, 6151, 34183, 5055, 41, 22033, 14, 34183, 401, 19, 411, 18, 22, 14, 286, 254, 495, 18, 18, 323, 3761, 719, 16, 26, 5055, 41, 16, 496, 272, 47802, 769, 26729, 1385, 671, 666, 387, 6901, 5153, 14, 5521, 385, 15, 84, 4097, 6082, 500, 406, 858, 7335, 2263, 254, 495, 18, 18, 323, 3761, 719, 16, 26, 5055, 41, 1205, 520, 28491, 24625, 20506, 28402, 44457, 1652, 3108, 254, 9278, 274, 254, 34183, 15, 2229, 41, 22033, 286, 867, 561, 276, 20190, 16, 15906, 36858, 369, 276, 641, 23509, 343, 520, 25762, 338, 16428, 1096, 387, 254, 1242, 14, 532, 3402, 4255, 713, 1708, 11982, 286, 1649, 276, 248, 14724, 2949, 282, 2743, 254, 18534, 1360, 387, 254, 1057, 671, 348, 254, 642, 763, 9163, 16, 0, 10272, 11503, 248, 4230, 3260, 276, 633, 2342, 593, 327, 633, 4230, 476, 1663, 276, 286, 561, 1269, 254, 1336, 274, 248, 1408, 311, 1594, 327, 5215, 1081, 368, 286, 633, 4230, 16, 496, 1596, 282, 4782, 633, 4230, 624, 6995, 14, 368, 1856, 457, 86, 452, 282, 11292, 5745, 368, 403, 2430, 282, 751, 597, 286, 1493, 254, 3260, 593, 327, 353, 476, 563, 561, 1033, 1956, 671, 16, 188, 2148, 4090, 14, 603, 633, 4230, 26290, 1480, 1181, 1773, 390, 1652, 8113, 974, 274, 1594, 353, 18203, 14, 353, 587, 961, 368, 282, 751, 597, 286, 1315, 353, 561, 14, 390, 1952, 368, 457, 619, 980, 597, 12136, 841, 353, 14, 390, 368, 476, 3570, 254, 1840, 17453, 407, 20243, 248, 4230, 18173, 3260, 16, 2552, 14, 368, 811, 452, 282, 7415, 843, 282, 563, 668, 2876, 254, 4230, 18173, 3260, 7826, 16, 380, 801, 4360, 327, 3144, 282, 2482, 311, 282, 1602, 248, 5537, 282, 1663, 286, 513, 254, 2545, 14, 532, 2075, 513, 327, 670, 368, 476, 513, 353, 4684, 33, 188, 1982, 368, 961, 282, 1354, 328, 254, 5527, 274, 20243, 248, 7389, 3260, 276, 633, 1683, 324, 633, 11510, 609, 3224, 14, 626, 403, 811, 248, 1603, 3364, 4867, 368, 587, 872, 282, 946, 16, 1395, 1242, 407, 14231, 254, 4189, 274, 254, 4230, 18173, 3260, 14, 16739, 254, 1640, 3260, 282, 452, 353, 328, 14, 533, 311, 3673, 532, 417, 1845, 254, 8352, 3260, 14, 286, 328, 748, 628, 274, 254, 3260, 353, 587, 321, 16, 1395, 587, 452, 282, 1354, 713, 2320, 254, 4747, 274, 633, 4230, 16, 188, 1368, 961, 254, 3260, 282, 321, 4301, 276, 254, 1640, 6136, 282, 1041, 353, 3364, 286, 11322, 324, 633, 4230, 282, 1041, 353, 939, 16, 7757, 1048, 8862, 1503, 2353, 368, 282, 4432, 254, 4747, 274, 254, 4230, 18173, 3260, 14, 286, 4316, 327, 633, 4230, 774, 1311, 1709, 14, 7100, 328, 695, 2289, 16, 380, 1921 ]
[ 1, 1130, 311, 2482, 15, 68, 19046, 1923, 315, 8262, 1091, 668, 890, 18, 18, 2945, 942, 1788, 254, 2289, 274, 338, 26, 587, 321, 13044, 282, 5094, 615, 41176, 387, 580, 2945, 29504, 10704, 16, 1997, 254, 1364, 5962, 14, 6101, 1577, 15, 483, 369, 1444, 719, 24, 7536, 188, 7470, 683, 338, 18, 18, 2945, 942, 403, 13044, 282, 6101, 276, 254, 801, 3298, 274, 254, 5962, 328, 7998, 16, 188, 2231, 23044, 311, 5326, 282, 452, 282, 4149, 624, 683, 374, 10025, 282, 3858, 248, 29504, 4516, 16, 4772, 274, 254, 14375, 1162, 274, 5962, 6166, 286, 3860, 11258, 3103, 14, 13057, 587, 1354, 1619, 276, 4941, 8435, 869, 338, 19, 4028, 286, 338, 27, 2470, 16, 188, 30717, 457, 85, 14069, 801, 5962, 276, 338, 27, 23, 19, 15, 23, 20, 2263, 1241, 2524, 282, 3316, 16, 17334, 338, 27, 24, 20, 286, 338, 27, 26, 27, 14, 12002, 497, 6140, 276, 1694, 282, 338, 18, 1842, 16, 380, 1694, 15, 1183, 12002, 276, 338, 27, 26, 18, 497, 254, 2504, 457, 85, 29425, 2378, 16, 188, 1853, 27986, 869, 5267, 286, 12757, 19506, 456, 1527, 248, 18115, 12825, 2889, 1364, 1722, 14, 626, 369, 1495, 6503, 1129, 4405, 561, 328, 254, 2257, 45125, 16, 28527, 10704, 276, 1081, 4203, 497, 9878, 274, 2217, 1036, 1186, 286, 7691, 414, 16, 1268, 843, 2019, 852, 596, 1354, 353, 33, 380, 15071, 457, 85, 17055, 5232, 655, 13400, 7985, 10236, 276, 19370, 286, 5306, 4384, 610, 691, 6279, 276, 7821, 22657, 1354, 248, 997, 16, 188, 1130, 369, 14164, 327, 369, 2674, 1143, 324, 7122, 16, 188, 510, 2860, 869, 5267, 286, 12757, 1091, 28305, 387, 254, 1640, 274, 2008, 1091, 2144, 282, 248, 1450, 328, 374, 24, 4929, 670, 5267, 5968, 353, 573, 9831, 48225, 363, 8359, 328, 39894, 18946, 276, 12757, 457, 85, 11638, 518, 303, 2829, 348, 769, 1203, 268, 2414, 666, 324, 248, 12825, 2889, 327, 573, 5182, 576, 18, 10541, 276, 5237, 15, 24322, 2059, 34092, 2674, 763, 3498, 4182, 16, 188, 35, 1362, 1938, 14, 328, 374, 25, 4929, 14, 12757, 4950, 1051, 272, 5237, 11402, 21483, 286, 10565, 695, 11260, 16, 188, 4888, 22463, 395, 267, 655, 5242, 14576, 369, 20869, 348, 248, 769, 36929, 21191, 7324, 286, 12757, 5207, 3070, 3883, 20496, 13925, 327, 6569, 2504, 807, 7642, 248, 3607, 1161, 24285, 14, 343, 248, 5899, 45624, 328, 1004, 1874, 16, 188, 41494, 942, 497, 31288, 14, 5267, 457, 85, 5415, 18144, 2818, 16, 188, 3987, 75, 4488, 20496, 28, 8229, 1856, 254, 22578, 6503, 33, 188, 2515, 497, 596, 624, 19523, 1471, 683, 18144, 33, 188, 52, 1404, 5232, 655, 13400, 7985, 10236, 28, 5237, 7122, 6743, 2607, 641, 27881, 670, 353, 2144, 282, 615, 6173, 1391, 6844, 274, 254, 2835, 16, 40958, 3547, 369, 387, 14776, 10990, 16, 188, 510, 6844, 2156, 6323, 713, 480, 25008, 1186, 286, 39927, 14, 343, 26861, 819, 348, 769, 37761, 7204, 21646, 5267, 248, 16053, 7324, 769, 38, 505, 472, 315, 12757, 7324, 286, 769, 27432, 2193, 79, 286, 8029, 5267, 666, 44597, 8427, 328, 14186, 16, 188, 5910, 16352, 286, 40935, 1869, 324, 5267, 282, 889, 27668, 286, 9709, 888, 16, 2514, 12376, 276, 6248, 5267, 16897, 272, 2774, 8005, 13801, 276, 11439, 4544, 305, 945, 14, 5710, 248, 20329, 5490, 16, 188, 1843, 1205, 310, 369, 9357, 328, 254, 1076, 274, 254, 5237, 11260, 387, 254, 5060, 5516, 869, 254, 763, 4203, 276, 254, 10892, 2758, 274, 2955, 894, 46479, 14, 310, 2950, 248, 3306, 2876, 272, 5237, 7699, 15814, 328, 616, 19152, 16, 769, 43, 457, 79, 248, 16781, 1480, 1756, 701, 749, 14, 348, 701, 11069, 387, 479, 276, 4372, 35269, 16, 188, 16670, 16781, 6297, 301, 11516, 3839, 75, 4025, 248, 658, 30664, 28221, 274, 254, 1026, 16352, 276, 1081, 5267, 286, 12757, 5937, 254, 3284, 14, 15973, 596, 573, 3542, 512, 3177, 274, 37429, 414, 286, 8442, 16, 769, 3530, 580, 274, 254, 3620, 1204, 834, 7122, 15, 13238, 43008, 11987, 254, 4475, 414, 15229, 274, 615, 8533, 1756, 701, 749, 16, 188, 4397, 4384, 610, 691, 6279, 28, 34435, 841, 9349, 1051, 387, 1824, 580, 5237, 6243, 1364, 2065, 14, 254, 33259, 4524, 2828, 248, 2243, 7847, 16, 188, 1853, 353, 7207, 14, 254, 18144, 626, 3297, 448, 24987, 769, 37761, 7204, 1472, 526, 22657, 666, 314, 12144, 13919, 12757, 481, 731, 3470, 457, 86, 254, 756, 1610, 274, 769, 18761, 2450, 41658, 1186, 666, 1285, 254, 3225, 8662, 16, 188, 7701, 43008, 432, 2958, 4897, 890, 20, 6145, 1038, 9061, 4524, 34778, 348, 596, 3443, 254, 3547, 1091, 2101, 642, 33259, 18144, 44716, 615, 2964, 16, 188, 1931, 328, 254, 2560, 14, 1205, 5237, 5415, 1225, 398, 46877, 15229, 4524, 2181, 14, 18144, 276, 12757, 497, 624, 38311, 14, 343, 1125, 47308, 748, 596, 1869, 254, 769, 7326, 47549, 2093, 286, 31497, 570, 666, 2362, 254, 5516, 16, 188, 686, 2306, 282, 5237, 3310, 4861, 668, 14364, 20807, 282, 13107, 24004, 282, 12757, 10266, 324, 4090, 14, 580, 4489, 1225, 255, 26217, 668, 248, 769, 15442, 256, 474, 9709, 666, 1091, 248, 3681, 282, 5237, 3790, 596, 4674, 561, 248, 769, 45311, 9709, 666, 276, 374, 18, 19, 24, 1285, 1495, 2114, 274, 7150, 869, 254, 4203, 16, 188, 52, 1404, 5232, 655, 13400, 7985, 10236, 28, 1260, 5415, 6743, 11510, 7926, 10397, 16482, 958, 432, 2701, 31026, 769, 7326, 9692, 666, 3316, 343, 7306, 6437, 27668, 14, 3418, 497, 5279, 417, 811, 668, 254, 16352, 532, 748, 596, 497, 9357, 16, 188, 686, 3225, 1090, 276, 948, 14, 248, 16688, 274, 40935, 452, 18815, 668, 254, 3367, 274, 4475, 19897, 276, 254, 5237, 3310, 16, 188, 18145, 1494, 16669, 286, 5692, 12376, 41063, 2540, 19416, 3990, 5656, 16, 769, 510, 801, 14701, 554, 276, 248, 2073, 311, 1845, 14596, 1460, 16, 12809, 3746, 2450, 38806, 454, 476, 1041, 5281, 27756, 1919, 1756, 345, 749, 16, 188, 1516, 28221, 3432, 457, 86, 4311, 282, 5267, 14, 390, 1002, 436, 2114, 276, 671, 16, 6236, 254, 374, 18, 18, 21, 9011, 2073, 14, 10169, 18144, 12342, 343, 615, 2504, 457, 85, 13880, 3800, 497, 669, 14, 328, 1125, 15100 ]
[ 1, 188, 1982, 368, 452, 665, 3418, 328, 748, 434, 1438, 328, 14, 1872, 1903, 282, 1602, 1919, 3, 1286, 368, 961, 282, 20227, 532, 476, 625, 1041, 353, 282, 779, 11891, 811, 1315, 441, 865, 3, 1822, 403, 9845, 286, 14258, 4528, 5066, 14, 603, 3655, 555, 665, 5532, 390, 13610, 668, 2328, 436, 254, 1640, 802, 324, 3997, 14, 4356, 1315, 441, 865, 16, 839, 9845, 665, 286, 512, 210, 1456, 3, 839, 403, 2731, 3461, 282, 248, 790, 15, 14252, 802, 3, 9127, 3997, 4528, 0, 51, 28, 1691, 311, 254, 4590, 274, 444, 13379, 334, 33, 188, 35, 28, 47359, 2974, 274, 300, 2052, 25107, 2703, 14, 4962, 29317, 324, 11924, 274, 3571, 16, 188, 35, 28, 1395, 403, 29021, 796, 1408, 16, 14933, 8738, 633, 9138, 5532, 276, 9235, 17, 20, 1499, 16, 3070, 2923, 254, 9107, 10027, 324, 300, 2052, 25107, 16, 188, 51, 28, 1334, 476, 310, 30512, 2501, 282, 15032, 15, 1089, 2133, 33, 188, 35, 28, 1664, 311, 417, 872, 282, 30512, 2501, 16, 15032, 15, 1089, 311, 254, 1308, 14, 417, 2133, 16, 18613, 254, 444, 13379, 334, 16, 3172, 1548, 254, 6451, 432, 15032, 15, 1089, 276, 24451, 14, 448, 1781, 14, 10430, 188, 5338, 366, 282, 1903, 3571, 1912, 1074, 254, 13349, 286, 30512, 775, 3468, 16, 23173, 775, 2662, 28, 310, 4856, 368, 338, 16594, 532, 368, 1339, 513, 436, 14, 436, 286, 436, 16, 188, 9606, 2365, 13349, 286, 1602, 775, 3054, 1594, 276, 520, 2024, 16, 2141, 1041, 775, 6429, 17, 14241, 2649, 366, 343, 642, 13349, 16, 188, 7639, 14, 1102, 1330, 300, 2052, 25107, 2485, 14, 15813, 7014, 286, 13349, 16, 19561, 1903, 17, 17794, 1879, 17, 36332, 300, 5013, 3571, 16, 188, 1982, 368, 2014, 324, 5210, 3571, 835, 13349, 4521, 85, 436, 7624, 348, 10679, 16, 2003, 434, 2075, 360, 5419, 1845, 2662, 2982, 3277, 16, 6581, 843, 1125, 2942, 13349, 476, 785, 324, 436, 2501, 33, 188, 51, 28, 1334, 476, 310, 8367, 26514, 551, 39461, 33, 188, 51, 28, 1691, 587, 4955, 603, 20677, 11676, 2520, 2063, 282, 368, 33, 188, 35, 28, 1664, 311, 641, 872, 276, 2520, 2063, 274, 2530, 9235, 17, 20, 3539, 82, 975, 16, 188, 51, 28, 1691, 311, 254, 2967, 869, 347, 43789, 4113, 4, 286, 347, 45736, 15845, 188, 43789, 4113, 311, 254, 1581, 274, 4589, 533, 3054, 12816, 274, 254, 9235, 16, 0, 10023, 1925, 2450, 5414, 369, 11115, 407, 17549, 267, 427, 21801, 276, 374, 18, 19, 18, 286, 2956, 561, 348, 248, 1330, 3258, 3015, 13283, 328, 17549, 267, 457, 85, 4242, 6319, 16, 750, 1938, 2956, 282, 15025, 3547, 668, 4242, 10040, 14, 19836, 4305, 9856, 286, 18796, 767, 5203, 15, 1929, 6478, 16, 496, 254, 1062, 980, 16767, 6654, 367, 6310, 7221, 254, 2214, 16, 188, 14171, 3566, 1925, 2450, 4926, 16, 679, 555, 4634, 939, 248, 48210, 343, 248, 743, 4282, 14, 743, 3616, 286, 743, 7148, 16, 839, 587, 3906, 3899, 668, 4242, 10040, 286, 4242, 14188, 532, 360, 587, 3408, 2430, 1830, 9856, 348, 360, 961, 282, 2683, 328, 254, 3258, 4659, 274, 772, 9646, 286, 417, 513, 665, 6092, 785, 16, 1678, 14, 688, 1330, 1830, 5062, 774, 2738, 3, 188, 10023, 1925, 2450, 5414, 2793, 274, 248, 1330, 1361, 274, 3732, 663, 3768, 254, 1057, 6112, 1091, 8495, 286, 7128, 12471, 286, 8924, 924, 16, 188, 2943, 17549, 267, 311, 417, 2367, 345, 29789, 944, 274, 520, 270, 3057, 552, 343, 520, 1963, 390, 2367, 328, 1015, 13443, 15, 30103, 16, 750, 4701, 276, 254, 10892, 8534, 91, 628, 274, 16377, 286, 1652, 520, 1564, 324, 5414, 434, 670, 345, 1652, 520, 23803, 1668, 5414, 16, 2936, 801, 3960, 767, 5203, 2133, 369, 6522, 276, 374, 18, 19, 18, 348, 248, 4704, 4580, 2133, 16, 2646, 327, 345, 452, 643, 2328, 248, 2187, 274, 1015, 6319, 14, 6397, 19459, 7763, 85, 348, 327, 311, 748, 345, 14131, 254, 944, 16, 188, 37602, 6654, 14131, 282, 4149, 286, 555, 643, 3686, 286, 2367, 276, 14217, 44539, 14, 17463, 14, 387, 443, 2354, 2834, 59, 5268, 532, 311, 1012, 37237, 276, 16377, 2367, 348, 248, 2824, 15, 423, 4244, 13349, 16, 27808, 286, 5279, 276, 254, 10767, 628, 274, 16377, 343, 2318, 2218, 282, 12471, 286, 8349, 6524, 282, 520, 23803, 6112, 533, 3849, 775, 282, 520, 1193, 9646, 324, 12471, 16, 6321, 383, 37474, 403, 4244, 2363, 14, 3532, 286, 25386, 34804, 286, 248, 2298, 274, 20313, 16, 188, 19330, 441, 248, 3808, 14, 390, 1594, 3, 0, 1130, 3032, 348, 2101, 254, 1464, 11409, 372, 7013, 311, 18977, 14, 254, 3819, 274, 1129, 4196, 1225, 1285, 248, 2107, 2348, 16, 3430, 14291, 387, 819, 248, 1017, 1245, 1269, 1002, 2732, 14, 282, 3510, 254, 5831, 348, 368, 563, 14, 641, 7020, 403, 742, 6982, 390, 26770, 2044, 14, 5983, 248, 743, 1026, 16, 188, 20061, 311, 669, 2815, 282, 15268, 1037, 6137, 2601, 14, 321, 5058, 16, 188, 25271, 276, 2601, 476, 321, 3608, 282, 665, 3514, 14, 2430, 665, 2348, 327, 5961, 695, 1193, 22541, 14, 1826, 4731, 248, 4785, 11400, 28929, 3637, 14, 9339, 276, 254, 427, 16, 36, 16, 35, 16, 26667, 14, 10999, 282, 3327, 387, 1683, 14, 390, 9339, 2710, 5702, 16, 331, 9000, 659, 47744, 79, 6184, 5088, 75, 457, 85, 2601, 19263, 403, 45954, 286, 47672, 668, 843, 282, 6384, 2601, 1285, 272, 6334, 2348, 28, 801, 14, 580, 32302, 248, 6477, 869, 3621, 286, 1245, 274, 9916, 14, 835, 580, 5299, 9916, 348, 3621, 16721, 16, 188, 20061, 555, 643, 900, 282, 6094, 942, 276, 254, 765, 274, 45355, 14, 348, 963, 348, 23128, 10999, 282, 3327, 14, 532, 573, 1582, 643, 900, 282, 2522, 248, 11921, 5722, 16, 188, 54, 11411, 1480, 1837, 476, 321, 4678, 15784, 286, 37647, 35111, 16, 7683, 633, 3870, 434, 9444, 1423, 4661, 282, 6122, 1051, 633, 3870, 434, 9444, 1423, 4661, 16, 188, 54, 11411, 10916, 625, 4634, 561, 274, 3616, 16, 731, 369, 1582, 276, 3616, 16, 24867, 311, 276, 3616, 14, 286, 4344, 2034, 4735, 939, 254, 1499, 387, 2304, 3324, 12744, 286, 7856, 16, 188, 57, 13236, 713 ]
[ 1, 3032, 417, 1181, 4448, 841, 327, 16, 188, 2432, 403, 248, 1603, 10144, 3783, 16, 188, 2316, 9140, 1048, 2849, 533, 587, 3709, 607, 25, 18, 10025, 14, 19474, 254, 8062, 434, 543, 33735, 8359, 12131, 15, 6386, 365, 267, 6934, 63, 6037, 387, 4669, 3492, 6728, 282, 695, 1450, 46960, 387, 9148, 27343, 322, 297, 14, 6248, 274, 443, 3814, 14408, 16, 6284, 14, 343, 254, 38490, 2142, 14, 555, 643, 13262, 254, 1802, 2049, 254, 8062, 10624, 348, 353, 11676, 939, 444, 1850, 47676, 16, 496, 2764, 14, 254, 2849, 587, 321, 6334, 4264, 6822, 84, 335, 31222, 286, 835, 328, 282, 41148, 14, 11725, 359, 507, 401, 9335, 286, 6022, 320, 376, 16, 188, 9654, 688, 6813, 1460, 432, 16873, 27897, 13307, 398, 663, 497, 3103, 276, 7618, 254, 2774, 7420, 282, 6409, 353, 369, 16116, 16, 2916, 328, 3135, 719, 274, 254, 7729, 11035, 16, 188, 21291, 2849, 16, 826, 369, 248, 628, 274, 254, 37650, 57, 378, 281, 291, 37491, 2133, 16, 1268, 6524, 324, 254, 8857, 668, 254, 9678, 57, 16, 0, 5125, 763, 15, 37671, 4507, 663, 457, 307, 9353, 748, 688, 1052, 254, 6287, 20367, 1849, 254, 2863, 274, 248, 1401, 1849, 403, 3159, 276, 248, 3545, 6770, 1083, 37058, 1689, 6612, 314, 21443, 848, 394, 11, 324, 248, 7847, 24030, 407, 248, 1305, 1361, 16, 19340, 31038, 304, 264, 274, 3545, 6770, 1083, 14, 248, 9670, 29390, 324, 769, 510, 3511, 515, 41960, 23674, 1756, 2225, 254, 7847, 587, 1862, 4507, 248, 4688, 282, 2241, 343, 2489, 663, 457, 307, 3542, 248, 1401, 16, 31038, 304, 264, 2225, 701, 457, 85, 1102, 626, 457, 85, 12895, 276, 4864, 668, 633, 1193, 20367, 9205, 14, 286, 353, 7526, 282, 1074, 561, 368, 457, 251, 417, 3690, 16, 380, 7847, 311, 867, 282, 751, 29287, 276, 36980, 328, 4297, 848, 394, 14, 286, 353, 7435, 254, 338, 18, 394, 16, 330, 30007, 15, 4165, 14513, 328, 254, 9152, 1849, 399, 3075, 466, 3635, 85, 1849, 587, 321, 254, 1043, 48196, 14513, 16, 1469, 457, 85, 248, 28896, 9119, 2796, 286, 254, 2410, 274, 2006, 4945, 328, 20367, 14, 532, 31038, 304, 264, 2225, 616, 3808, 587, 321, 580, 274, 12895, 286, 3409, 16, 31038, 304, 264, 7221, 769, 510, 3511, 515, 41960, 23674, 666, 338, 18, 1090, 3502, 841, 763, 274, 616, 18808, 4811, 16, 31038, 304, 264, 7221, 254, 1361, 276, 338, 27, 27, 22, 841, 616, 338, 24, 15, 2823, 15, 741, 5952, 369, 5182, 276, 248, 1096, 7149, 16, 7823, 5952, 369, 10620, 407, 248, 1096, 286, 5182, 276, 338, 27, 25, 23, 14, 532, 769, 510, 3511, 515, 41960, 23674, 666, 369, 417, 3812, 276, 14478, 835, 16, 380, 1361, 555, 719, 18, 18, 22445, 1444, 254, 2504, 286, 248, 13003, 22445, 276, 14478, 314, 250, 1201, 73, 8218, 14, 7432, 24363, 14, 31756, 14, 331, 30534, 23827, 14, 331, 30534, 44072, 14, 3545, 6770, 1083, 14, 19482, 87, 1422, 14, 14478, 3124, 14, 19188, 14, 6753, 4239, 14, 4727, 7862, 460, 286, 10014, 22336, 3124, 481, 3774, 1125, 2672, 403, 4507, 663, 457, 307, 3542, 248, 1401, 14, 254, 1361, 669, 5961, 25003, 286, 1305, 282, 1093, 663, 457, 307, 3542, 248, 38680, 16, 1395, 476, 1074, 561, 624, 668, 380, 3511, 515, 41960, 23674, 286, 254, 7847, 276, 36980, 328, 254, 7142, 14, 387, 8061, 16, 779, 16000, 41960, 28228, 16, 679, 14, 390, 368, 476, 2960, 31038, 304, 264, 387, 607, 19, 23, 15, 20, 25, 22, 15, 21, 26, 21, 23, 16, 0, 1212, 4504, 25686, 10335, 282, 6975, 4682, 5215, 16, 839, 403, 2367, 348, 25686, 7626, 282, 2023, 368, 11535, 13259, 328, 633, 2072, 19896, 16, 188, 1212, 10972, 6151, 254, 1640, 338, 1373, 18459, 273, 12968, 274, 1015, 18796, 4273, 663, 476, 2023, 368, 11266, 12453, 18459, 273, 9241, 16, 188, 1212, 513, 512, 1640, 3324, 282, 2023, 772, 12587, 3338, 1460, 14, 532, 254, 2543, 3027, 774, 1767, 615, 5961, 1269, 665, 4226, 16, 0, 5897, 975, 4343, 368, 282, 1423, 763, 15, 33696, 348, 963, 348, 1694, 15, 33696, 2257, 21180, 35384, 16, 5596, 15, 33696, 2632, 403, 624, 1794, 14, 343, 248, 1241, 15, 15077, 41425, 24898, 286, 248, 10773, 16, 380, 1694, 15, 33696, 4254, 476, 321, 6363, 407, 1484, 5290, 20162, 27388, 390, 407, 14100, 27388, 343, 367, 1787, 11032, 324, 1062, 17395, 35384, 16, 188, 686, 512, 254, 9258, 14, 254, 11409, 286, 254, 5764, 403, 1062, 2013, 16, 24267, 254, 2244, 772, 975, 311, 4133, 713, 763, 4105, 16, 2514, 311, 254, 1423, 3816, 14, 3198, 254, 8322, 5212, 390, 3198, 254, 3117, 16258, 16, 380, 642, 628, 14, 533, 8325, 7798, 343, 14, 353, 457, 85, 248, 4829, 2150, 9412, 14, 16649, 286, 26416, 16, 2640, 436, 9412, 254, 7528, 476, 1970, 254, 975, 254, 867, 15, 3538, 3171, 14, 13976, 254, 41425, 24898, 457, 85, 1575, 3759, 390, 1577, 254, 2257, 742, 16, 188, 510, 9412, 9648, 248, 2244, 3171, 8245, 14, 272, 26901, 3046, 286, 248, 5028, 12869, 16, 188, 510, 9710, 2932, 3394, 565, 13112, 14, 254, 3383, 12366, 286, 254, 3260, 12366, 403, 512, 4652, 282, 254, 1423, 3816, 16, 1822, 836, 13112, 1315, 441, 865, 603, 626, 311, 3655, 276, 254, 2244, 390, 417, 16, 380, 5321, 975, 1042, 417, 2353, 248, 3021, 3198, 248, 14815, 286, 593, 353, 311, 12971, 343, 665, 2169, 274, 5406, 14, 1996, 343, 248, 5732, 2165, 390, 343, 248, 4829, 7802, 3021, 16, 188, 1934, 5353, 353, 3256, 14, 603, 626, 311, 4715, 3198, 254, 2244, 343, 254, 3260, 4438, 14, 254, 975, 19019, 327, 626, 311, 2996, 3198, 16, 1585, 254, 9947, 14, 603, 254, 3260, 26653, 286, 626, 311, 641, 4715, 3198, 14, 254, 2244, 311, 6153, 16, 496, 436, 1364, 1068, 14, 254, 975, 29115, 254, 25990, 2008, 324, 254, 2257, 21180, 286, 254, 10377, 16, 5066, 254, 2257, 21180, 311, 32578, 603, 254, 8102, 390, 10723, 403, 1493, 1285, 248, 637, 15, 1160, 2332, 274, 671, 16, 188, 510, 1423, 3816, 555, 25397, 17499, 390, 25597, 327, 1423, 254, 2257, 21180, 286, 254, 10377, 2632, 16, 188, 686, 1316, 282, 4962, 624 ]
[ 1, 869, 254, 2758, 1874, 286, 9690, 1874, 14, 593, 348, 282, 5256, 15500, 15400, 286, 5787, 14, 27702, 254, 13474, 14, 4654, 254, 5925, 274, 942, 343, 25651, 14, 5150, 21156, 14, 3860, 286, 6215, 274, 2764, 7270, 16, 188, 510, 45431, 274, 254, 3532, 6846, 282, 254, 4172, 14, 1218, 1402, 286, 254, 2875, 286, 2508, 1988, 274, 9169, 695, 3357, 16, 380, 4868, 274, 3357, 311, 3303, 20315, 1221, 407, 254, 948, 327, 254, 3532, 311, 4301, 328, 248, 29041, 1923, 2245, 1269, 2704, 274, 3681, 286, 5147, 16, 188, 46605, 13733, 286, 2272, 3247, 369, 669, 11876, 407, 254, 5925, 274, 1321, 1839, 14, 407, 4893, 286, 2628, 3277, 14, 407, 254, 4605, 314, 329, 26177, 11538, 6931, 448, 6218, 14, 37739, 343, 27599, 432, 42859, 16483, 15934, 390, 7340, 1523, 12117, 14, 5099, 14, 4995, 581, 533, 3849, 282, 615, 46377, 19010, 286, 1988, 274, 248, 6681, 18846, 327, 311, 10996, 407, 9599, 4987, 286, 23832, 15721, 274, 2245, 939, 16538, 3532, 4156, 16, 0, 510, 4686, 274, 6945, 8551, 580, 1740, 432, 1495, 311, 356, 15, 944, 14504, 324, 248, 1910, 1129, 16, 1678, 14, 436, 4686, 311, 509, 87, 15, 247, 20682, 2802, 273, 324, 944, 4829, 4992, 4569, 9989, 15, 259, 1371, 29, 5562, 14, 360, 1323, 436, 4686, 387, 11668, 1635, 1062, 1603, 6490, 324, 4569, 16, 731, 555, 643, 3949, 327, 254, 3055, 15467, 274, 4333, 774, 1663, 432, 254, 5926, 3520, 321, 15, 247, 849, 254, 743, 1610, 286, 6490, 3661, 6139, 16, 839, 2780, 327, 254, 2165, 282, 580, 15, 11539, 4569, 311, 254, 9375, 274, 1794, 4105, 348, 1004, 628, 6382, 24071, 8101, 274, 276, 15, 4556, 328, 843, 248, 5150, 4333, 311, 8590, 16, 839, 355, 15, 16290, 272, 440, 34097, 1308, 324, 4569, 248, 8342, 10603, 892, 15, 296, 551, 274, 2382, 19811, 9733, 13893, 4156, 274, 272, 4960, 16, 6730, 1093, 19811, 348, 3277, 14, 360, 1916, 248, 5722, 268, 1530, 327, 40097, 12659, 248, 1162, 274, 1642, 87, 15, 1216, 11032, 328, 248, 580, 15, 11539, 4569, 4686, 16, 839, 7368, 254, 12167, 274, 436, 2660, 328, 1116, 15, 15284, 23546, 286, 913, 327, 436, 1530, 2025, 4083, 282, 2623, 14877, 16, 0, 6235, 889, 310, 431, 2201, 282, 3377, 512, 607, 21, 6948, 282, 607, 21, 23, 21, 328, 248, 2725, 343, 374, 427, 41427, 16, 2514, 327, 6438, 348, 22175, 5151, 5114, 561, 4375, 14, 286, 10743, 348, 22175, 5151, 4622, 276, 4375, 16, 23433, 311, 282, 867, 597, 20272, 14, 286, 248, 418, 12098, 314, 11226, 2595, 14, 3116, 11743, 14, 25735, 11, 4244, 12343, 282, 8494, 286, 14577, 254, 2752, 14120, 1819, 14, 1707, 328, 931, 432, 2336, 1819, 10, 85, 481, 0, 35, 614, 40394, 311, 4250, 2731, 324, 272, 496, 3867, 4425, 578, 2480, 387, 615, 40924, 14, 15980, 4189, 3, 35502, 403, 869, 495, 18, 15, 22, 18, 13398, 328, 248, 3203, 14, 343, 254, 6215, 274, 2057, 671, 15813, 324, 254, 977, 4793, 3, 188, 1934, 321, 5384, 276, 436, 2472, 14, 368, 933, 452, 248, 4740, 3981, 276, 7528, 2497, 314, 2757, 578, 2902, 17, 85, 39295, 17, 2313, 1349, 2705, 6865, 8778, 481, 188, 13660, 1407, 16, 1664, 434, 248, 1865, 327, 254, 4351, 13891, 282, 6255, 1009, 288, 30204, 16, 188, 7639, 3751, 14, 8940, 1339, 452, 254, 3621, 282, 4149, 348, 2961, 869, 374, 15, 21, 1015, 1922, 4235, 314, 23968, 338, 23, 2819, 274, 1004, 642, 481, 0, 23231, 250, 369, 580, 274, 254, 944, 1726, 8020, 276, 254, 9629, 2803, 28, 695, 4474, 42444, 14, 5072, 44404, 1676, 1064, 14, 5072, 44404, 6797, 2813, 14, 5072, 44404, 2556, 524, 4548, 14, 33102, 14399, 3546, 1711, 403, 1062, 963, 14871, 38997, 447, 274, 436, 9243, 2114, 16, 6868, 250, 5961, 23580, 286, 2072, 3642, 248, 4474, 4188, 274, 22517, 28, 276, 6868, 250, 8707, 9812, 626, 403, 1125, 20794, 14, 417, 756, 18451, 21556, 73, 721, 343, 512, 254, 37940, 286, 3134, 7273, 324, 2072, 30603, 14, 532, 669, 10849, 22517, 14, 3834, 324, 1093, 14, 663, 961, 282, 4010, 6868, 250, 328, 248, 7363, 16, 380, 7407, 2527, 5991, 67, 24095, 8717, 286, 5991, 67, 11694, 67, 6023, 4516, 403, 9394, 2722, 282, 254, 2758, 8906, 286, 37241, 18126, 274, 20794, 286, 378, 8, 36, 9884, 16, 188, 9738, 4149, 11947, 286, 1074, 512, 2066, 20794, 276, 7407, 2527, 14, 2374, 561, 12603, 9856, 286, 19335, 3487, 328, 6868, 250, 2758, 7901, 14, 1926, 633, 17555, 22517, 343, 641, 637, 15, 25479, 16, 1822, 4009, 403, 276, 13646, 85, 286, 24658, 274, 512, 10203, 16, 0, 43, 6159, 407, 21150, 30589, 436, 3998, 286, 1102, 561, 327, 596, 452, 248, 2187, 274, 30589, 324, 9819, 942, 314, 24, 4, 20, 9, 286, 687, 11, 327, 596, 650, 747, 282, 2055, 282, 1041, 2244, 324, 4434, 1921, 3544, 30589, 16, 1838, 603, 368, 1441, 9819, 286, 2731, 324, 272, 26366, 9297, 14, 1012, 311, 248, 1157, 671, 282, 3408, 407, 16, 2512, 8061, 16, 544, 81, 16981, 68, 13591, 16, 2000, 324, 4139, 328, 4189, 286, 2942, 16, 188, 29439, 1093, 274, 441, 274, 3587, 43716, 3906, 282, 29483, 436, 38890, 386, 36009, 286, 10795, 21729, 188, 43, 452, 248, 28300, 851, 1064, 34625, 14, 343, 3148, 867, 282, 254, 4442, 1844, 14, 286, 353, 811, 3563, 67, 12010, 13466, 16, 310, 2033, 28300, 851, 1064, 1012, 2701, 248, 347, 44, 43741, 4, 1921, 16, 500, 43741, 8002, 500, 43741, 15404, 13148, 9, 252, 3, 310, 1328, 417, 272, 30712, 3, 188, 44, 43741, 15404, 13148, 9, 252, 3, 310, 1328, 272, 30712, 3, 0, 18150, 17, 47611, 309, 4896, 17, 26207, 5913, 16, 27910, 3083, 16, 23412, 68, 1471, 16, 9175, 561, 254, 9683, 58, 4117, 1043, 48196, 16, 188, 1130, 457, 85, 643, 248, 1205, 1544, 254, 3083, 369, 3587, 282, 2426, 328, 248, 4242, 3481, 16, 3826, 22712, 14, 633, 2232, 8223, 2427, 457, 86, 1002, 452, 282, 1479, 248, 7123, 282, 751, 1508, 16, 14334, 311, 2156, 4179, 15, 17615, 14, 9121, 2362, 5939, 286, 7142, 274, 18789, 3963, 14, 747, 6873, 1683, 17486, 16, 14334, 311, 1575, 273, 17004 ]
[ 1, 1648, 8562, 11043, 17, 12225, 1314, 2632, 29, 2591, 15, 32726, 15, 504, 1918, 5833, 29, 6259, 14, 5294, 14, 286, 19361, 29, 286, 4163, 286, 4351, 16, 17347, 3395, 7917, 282, 321, 328, 1676, 28147, 2779, 1285, 254, 1615, 1240, 2793, 7913, 274, 8562, 11043, 17, 14609, 41242, 4235, 286, 403, 4780, 944, 2692, 282, 2023, 6453, 1460, 4479, 282, 2479, 3418, 2818, 758, 254, 8562, 11043, 17, 12225, 1314, 9748, 16, 0, 6609, 555, 643, 1181, 27582, 1722, 683, 2539, 14, 353, 434, 643, 3136, 5288, 91, 532, 626, 10916, 625, 643, 1181, 9067, 16, 380, 7845, 1572, 4949, 25684, 12563, 742, 254, 12187, 3800, 274, 254, 8364, 286, 2350, 6214, 286, 1649, 328, 8555, 274, 3017, 1285, 254, 1722, 14, 2328, 353, 6508, 43956, 14, 348, 368, 476, 915, 1788, 16, 188, 3294, 254, 439, 325, 10282, 980, 276, 254, 399, 1293, 252, 25684, 14, 254, 743, 3017, 328, 254, 399, 1293, 252, 555, 1143, 353, 248, 2298, 1708, 5374, 14, 417, 6344, 407, 512, 254, 5288, 16, 1838, 310, 872, 282, 814, 2437, 436, 14, 276, 628, 282, 3408, 12642, 432, 3677, 5276, 742, 14, 532, 669, 282, 1862, 353, 248, 2298, 624, 825, 16, 1664, 403, 3136, 248, 1603, 12773, 38698, 252, 17583, 6507, 14, 593, 310, 872, 282, 321, 9915, 417, 282, 36963, 836, 742, 16, 188, 11434, 19275, 14, 254, 25503, 2098, 7911, 555, 4679, 4634, 687, 286, 3095, 282, 321, 17020, 888, 16, 826, 587, 11586, 743, 6331, 282, 1263, 687, 5603, 17, 1864, 2971, 14, 593, 327, 596, 587, 1157, 1689, 8752, 16, 310, 369, 9600, 282, 1074, 327, 688, 391, 1293, 786, 327, 310, 573, 23089, 1364, 802, 452, 276, 948, 1663, 597, 286, 403, 36522, 428, 603, 368, 997, 9012, 368, 476, 915, 254, 3065, 44221, 1788, 16, 1547, 403, 1603, 276, 1162, 286, 872, 282, 10431, 597, 624, 1063, 310, 476, 1242, 36031, 729, 324, 269, 21383, 16, 188, 686, 254, 7845, 1572, 4949, 25684, 1432, 14, 254, 439, 45289, 980, 311, 1062, 43956, 6124, 16, 496, 948, 14, 310, 1141, 310, 774, 452, 687, 23089, 16, 731, 434, 593, 1837, 282, 751, 977, 14, 974, 670, 368, 1649, 729, 276, 254, 3112, 254, 6073, 403, 2156, 3136, 1330, 286, 626, 311, 1181, 7838, 5979, 1838, 1002, 2101, 310, 1815, 310, 369, 22035, 729, 561, 2151, 14, 4378, 353, 434, 248, 1612, 24949, 265, 16, 188, 35, 1191, 5631, 1995, 361, 684, 53, 13525, 15, 77, 20845, 9, 311, 2731, 1062, 5708, 841, 2674, 13513, 432, 1129, 276, 254, 26785, 18197, 1364, 802, 16, 826, 311, 580, 274, 14848, 434, 763, 6073, 276, 254, 10060, 286, 345, 311, 248, 1612, 11780, 274, 353, 286, 8950, 327, 254, 15688, 262, 3108, 353, 403, 6036, 5203, 353, 2499, 1480, 1181, 16, 1838, 310, 1328, 1438, 282, 13521, 729, 888, 2502, 254, 18795, 282, 1862, 353, 248, 2298, 274, 2245, 16, 310, 872, 282, 1920, 618, 6131, 2748, 1048, 5058, 16, 14414, 14, 345, 311, 977, 16, 188, 510, 16497, 1482, 390, 1190, 67, 555, 669, 8010, 713, 248, 2499, 1733, 4304, 286, 311, 1810, 41262, 254, 323, 3075, 13445, 6185, 1430, 25522, 16, 188, 40498, 1482, 390, 1190, 67, 16, 1395, 476, 22305, 248, 4422, 274, 323, 3075, 13445, 6185, 6331, 282, 254, 1628, 16, 188, 1843, 310, 2314, 254, 4043, 609, 12068, 274, 750, 1016, 1532, 14392, 684, 54, 41747, 609, 5813, 496, 948, 310, 1141, 436, 14, 254, 16497, 1482, 286, 330, 1191, 14, 286, 2049, 343, 254, 270, 1758, 31244, 15147, 262, 20915, 2831, 6292, 14, 512, 563, 2499, 963, 2292, 16, 1547, 811, 872, 248, 2298, 624, 2245, 14, 593, 310, 872, 282, 1141, 668, 843, 310, 476, 12566, 436, 628, 274, 254, 5516, 282, 1862, 254, 6073, 688, 14180, 2244, 16222, 25307, 254, 43956, 1872, 16, 188, 23618, 432, 254, 4617, 274, 254, 5516, 888, 597, 282, 254, 399, 1293, 252, 14, 254, 2916, 46672, 36307, 14, 1129, 9899, 328, 19745, 2049, 254, 18795, 14, 311, 1012, 276, 2057, 10341, 286, 254, 32390, 298, 274, 4028, 555, 2411, 9791, 22060, 2177, 16, 188, 5639, 368, 915, 254, 763, 10366, 304, 265, 1482, 85, 758, 254, 330, 1191, 33, 17334, 254, 17124, 19234, 286, 254, 8138, 3613, 33, 4539, 2211, 368, 476, 625, 14, 348, 836, 6073, 452, 8869, 687, 8010, 729, 3, 310, 1797, 4285, 310, 872, 282, 14076, 254, 3972, 1789, 286, 2055, 729, 11054, 593, 596, 476, 452, 615, 1619, 276, 254, 14, 963, 14, 20654, 16, 826, 587, 321, 248, 2545, 324, 3850, 16, 188, 1253, 368, 476, 915, 758, 254, 5275, 1625, 330, 1191, 14, 330, 1191, 5631, 1995, 361, 684, 29379, 11976, 1358, 311, 248, 1330, 10307, 8138, 3613, 5660, 507, 14, 343, 33385, 8293, 15, 717, 313, 17021, 3096, 3617, 533, 19453, 283, 276, 254, 5288, 16, 188, 4412, 417, 5511, 1181, 4402, 36522, 387, 512, 1364, 802, 14, 17124, 19234, 5160, 5875, 9242, 478, 361, 684, 37, 92, 518, 264, 9, 555, 6715, 561, 286, 555, 4061, 8555, 274, 12068, 16, 26632, 276, 20654, 286, 5058, 1129, 4904, 324, 2541, 12068, 29, 596, 19970, 763, 3498, 276, 618, 362, 511, 276, 254, 35213, 2244, 16, 188, 510, 9796, 68, 6855, 452, 643, 36522, 14, 532, 310, 1328, 5612, 13110, 348, 282, 615, 5081, 16, 1547, 403, 5326, 282, 321, 8086, 318, 11581, 33617, 1303, 15, 3740, 67, 14, 254, 4243, 4647, 10626, 14, 532, 2499, 683, 24817, 687, 282, 580, 1874, 348, 596, 933, 14, 596, 403, 36522, 512, 1444, 254, 8203, 14, 747, 248, 9622, 4647, 10626, 16, 1547, 513, 1311, 452, 254, 46405, 14, 533, 254, 9622, 1038, 625, 14, 286, 596, 1848, 625, 513, 436, 1364, 802, 16, 310, 1652, 254, 42551, 432, 7783, 427, 654, 8025, 14, 663, 403, 1062, 33433, 494, 286, 310, 1797, 1582, 573, 665, 3133, 343, 42551, 432, 729, 16, 1664, 403, 641, 9622, 4647, 68, 6855, 9884, 14, 6569, 276, 618, 10060, 390, 9884, 4254, 14, 593, 310, 1328, 13947, 282, 865, 2075, 596, 3156, 747, 4243, 4647, 68, 6855, 1364, 802, 14, 532, 452, 4251, 282, 997, 747, 9622, 4647, 68, 6855, 436, 802, 3, 188, 43, 1797, 46391, 7783, 427 ]
[ 1, 39518, 16, 2552, 254, 39518, 8655, 327, 596, 497, 12620, 387, 1824, 576, 18, 30027, 286, 25676, 47035, 387, 626, 16, 188, 510, 39490, 555, 687, 607, 20, 23, 24231, 286, 607, 27, 25, 10964, 286, 596, 403, 512, 4783, 343, 248, 1157, 1521, 16, 826, 311, 2075, 436, 39490, 555, 7110, 282, 1041, 248, 1579, 276, 5267, 16, 1664, 311, 248, 15621, 324, 512, 23580, 830, 1015, 2169, 274, 20237, 286, 46187, 403, 6952, 16, 188, 11609, 15, 580, 555, 282, 4149, 495, 16, 23, 465, 973, 282, 3858, 254, 39490, 432, 254, 2758, 16, 188, 9546, 28, 890, 715, 282, 338, 20, 28, 19, 23, 12565, 286, 495, 282, 719, 12565, 16, 188, 510, 9540, 650, 2042, 756, 21812, 16, 495, 590, 1408, 16, 0, 36520, 1481, 81, 14, 272, 21250, 951, 271, 472, 14, 311, 11983, 11400, 274, 254, 378, 2130, 6640, 276, 7930, 3286, 286, 348, 819, 14, 17663, 266, 254, 5861, 274, 254, 1241, 10670, 14, 496, 463, 10781, 401, 273, 398, 14, 367, 7751, 67, 330, 442, 570, 14, 286, 34152, 5195, 27549, 1326, 16, 2936, 15125, 286, 10725, 311, 254, 19363, 273, 274, 4237, 10593, 2248, 14, 272, 7760, 15913, 2828, 407, 254, 6640, 276, 1316, 282, 16545, 7930, 3286, 16, 12227, 282, 254, 3225, 7498, 274, 4704, 4237, 35426, 1243, 14, 254, 42101, 27170, 286, 1615, 500, 7491, 14, 3479, 262, 339, 254, 12420, 14, 555, 1649, 248, 3408, 282, 254, 15913, 16, 1469, 4462, 327, 12836, 248, 6776, 276, 2999, 305, 91, 311, 276, 3972, 8840, 14, 286, 368, 587, 452, 282, 1336, 561, 248, 41271, 17219, 1481, 81, 5122, 616, 3320, 1285, 254, 1409, 309, 1890, 254, 2795, 1414, 16, 188, 8168, 2244, 311, 4301, 276, 254, 19951, 24652, 12561, 328, 254, 3112, 5100, 274, 254, 6649, 286, 345, 3456, 2195, 626, 1033, 2286, 869, 813, 2534, 286, 719, 313, 16, 750, 587, 835, 1074, 520, 7119, 6136, 276, 254, 16153, 830, 345, 28520, 248, 580, 15, 11642, 12217, 387, 813, 313, 16, 750, 19354, 276, 254, 16153, 1863, 338, 18, 313, 670, 345, 9590, 597, 282, 254, 411, 10005, 43055, 962, 324, 248, 1241, 15, 11642, 10864, 343, 34152, 5195, 286, 367, 7751, 67, 314, 2798, 7020, 481, 1997, 338, 2534, 345, 311, 888, 276, 254, 16153, 830, 345, 29789, 254, 2774, 8820, 16, 2646, 248, 580, 15, 11642, 8725, 387, 719, 2534, 345, 4424, 4800, 282, 3598, 16, 826, 5157, 10650, 756, 23029, 2154, 11905, 274, 309, 1890, 254, 2795, 1414, 29, 1863, 835, 14, 17219, 1481, 81, 587, 33416, 1444, 254, 3112, 5100, 274, 254, 378, 2130, 6640, 374, 22, 2942, 248, 1362, 14, 343, 248, 1603, 2135, 15579, 6930, 2622, 16, 188, 36520, 1481, 81, 30262, 248, 867, 274, 3901, 9749, 2049, 343, 248, 4523, 274, 3901, 18713, 16, 750, 15374, 248, 2165, 282, 254, 6649, 286, 248, 5278, 274, 1794, 4806, 286, 5172, 16, 188, 2976, 254, 271, 2130, 9339, 512, 687, 15747, 3318, 587, 1110, 368, 4264, 254, 378, 2130, 6640, 14, 286, 688, 274, 729, 587, 1002, 3624, 254, 11983, 11400, 28, 347, 43, 1141, 254, 378, 2130, 6640, 1503, 321, 2731, 324, 36690, 16, 1395, 933, 3856, 282, 254, 1450, 274, 254, 6649, 14, 17219, 1481, 81, 14, 603, 368, 1441, 5940, 16809, 347, 1982, 368, 563, 626, 14, 2241, 282, 17219, 1481, 81, 16, 750, 434, 254, 1450, 11400, 449, 286, 347, 1982, 368, 1441, 4536, 274, 9184, 14, 2241, 282, 17219, 1481, 81, 276, 7930, 3286, 449, 330, 3782, 432, 1922, 2653, 23460, 500, 6893, 18976, 327, 17219, 1481, 81, 311, 276, 1017, 17227, 28, 347, 22880, 663, 434, 3655, 16, 17219, 1481, 81, 8459, 272, 18574, 254, 642, 1362, 14, 749, 345, 369, 2731, 324, 248, 743, 5805, 16809, 1205, 580, 274, 254, 3371, 387, 254, 6649, 14, 500, 1539, 14, 311, 1637, 17339, 28, 347, 1130, 434, 272, 10120, 282, 452, 17219, 1481, 81, 324, 9514, 328, 14574, 14, 532, 345, 434, 2019, 1480, 10544, 324, 618, 26552, 449, 286, 347, 36520, 1481, 81, 311, 1480, 7317, 343, 11985, 16, 1691, 274, 17594, 33, 47589, 33, 1691, 274, 9646, 859, 188, 2943, 368, 4750, 254, 378, 2130, 6640, 14, 17219, 1481, 81, 587, 14833, 7500, 368, 561, 286, 11380, 9845, 368, 28, 347, 20464, 282, 254, 378, 2130, 6640, 16, 310, 715, 254, 1450, 11400, 1045, 16, 1334, 774, 310, 1336, 368, 859, 2028, 368, 4503, 324, 13814, 14, 345, 587, 3669, 28, 347, 33090, 248, 10986, 282, 2445, 248, 13517, 271, 472, 16, 1395, 933, 321, 6425, 327, 1125, 4503, 532, 360, 2903, 1062, 1603, 942, 16, 2028, 1841, 14, 360, 1602, 25925, 282, 1323, 8663, 254, 6649, 3095, 6140, 16, 496, 436, 1068, 14, 310, 513, 452, 248, 4686, 321, 30740, 272, 28726, 4123, 271, 472, 3150, 750, 587, 835, 2055, 328, 282, 633, 16528, 4686, 14, 5937, 276, 436, 2511, 16, 1678, 14, 345, 587, 1970, 368, 603, 254, 4928, 2073, 555, 5709, 254, 6649, 28, 347, 3530, 1181, 16, 1268, 348, 248, 271, 472, 14, 310, 1074, 254, 2560, 18291, 45620, 16, 1664, 403, 641, 21589, 276, 436, 2073, 16, 1583, 20107, 282, 321, 573, 286, 641, 1491, 6280, 449, 1286, 368, 452, 39925, 7930, 3286, 324, 254, 24195, 43853, 8537, 14, 345, 587, 1767, 436, 3782, 28, 347, 2432, 403, 641, 21589, 276, 436, 2073, 16, 4801, 343, 17526, 72, 693, 1045, 276, 7930, 3286, 14, 626, 403, 641, 20107, 282, 321, 573, 16, 1583, 1491, 6280, 449, 750, 587, 14, 2228, 14, 3906, 328, 248, 2675, 3751, 28, 347, 1982, 368, 961, 1594, 248, 271, 472, 476, 2748, 713, 997, 282, 254, 40072, 16, 330, 7803, 1090, 432, 1012, 15747, 3318, 587, 452, 4251, 35118, 18126, 274, 2008, 532, 254, 1076, 274, 254, 40072, 14, 327, 2835, 311, 2304, 276, 272, 8458, 449, 2028, 2464, 603, 345, 5887, 2626, 668, 254, 40072, 345, 587, 1110, 368, 4264, 520, 18619, 274, 9289, 28, 347, 3530, 1181, 14, 282, 321, 8055, 16, 6971, 1076, 369, 248, 6779, 282, 441, 512, 16, 34152, 5195, 27549, 1326, 555, 688, 282, 6766, 668, 729, 276, 254, 6163, 14, 603, 368, 1441, 5940, 449, 7052, 368, 452, 643, 14823, 713, 254 ]
[ 1, 2363, 1263, 324, 4808, 960, 13882, 23, 29600, 21, 286, 328, 254, 7082, 869, 254, 1508, 286, 439, 43022, 42627, 274, 254, 4742, 286, 254, 1887, 2426, 276, 374, 18, 18, 26, 14, 15113, 537, 11029, 327, 276, 1081, 3978, 254, 15523, 3542, 2315, 14, 1834, 8785, 758, 13266, 3963, 14, 369, 3596, 6936, 14, 1205, 254, 7606, 3491, 15, 36905, 46693, 5775, 67, 497, 1926, 286, 6015, 16, 188, 1212, 641, 14382, 327, 254, 2949, 274, 4714, 7217, 52, 1842, 390, 417, 369, 7043, 348, 254, 29457, 6880, 5641, 476, 3533, 248, 374, 23, 26, 22010, 7473, 33837, 10535, 17162, 5099, 328, 254, 3481, 721, 274, 254, 1508, 16, 40924, 286, 20875, 92, 25066, 14, 6710, 286, 416, 3645, 252, 14, 12345, 14, 11147, 274, 496, 1312, 365, 4885, 374, 18, 19, 21, 14, 24250, 10, 32479, 6013, 45388, 19039, 291, 249, 22570, 374, 274, 254, 5461, 36943, 29820, 6928, 14, 2218, 374, 19, 25, 25, 284, 20, 19, 26, 19, 40608, 14, 6010, 26489, 1516, 1316, 4765, 8849, 3241, 276, 1063, 14425, 30862, 2543, 15, 14417, 28076, 367, 4748, 11, 286, 763, 274, 695, 1090, 14, 4682, 6163, 7674, 11, 286, 2066, 19806, 18769, 34373, 5219, 581, 432, 254, 1316, 274, 14416, 17476, 27427, 85, 286, 13978, 7918, 264, 274, 254, 11147, 7193, 16, 496, 6013, 8489, 40, 22301, 374, 18, 18, 18, 28, 15534, 286, 22484, 274, 496, 31350, 28, 374, 25, 394, 12304, 328, 11290, 309, 33554, 276, 15534, 286, 22484, 274, 496, 31350, 6753, 33768, 14, 20993, 4543, 14, 4452, 374, 23, 1091, 4423, 374, 14, 374, 18, 18, 18, 30170, 282, 10944, 1004, 274, 1241, 6258, 274, 7691, 17785, 6728, 266, 14, 3335, 6013, 12343, 14, 27824, 9726, 581, 248, 2057, 5095, 274, 848, 19, 30999, 3076, 17962, 1339, 1041, 2347, 276, 1316, 16, 5596, 7852, 274, 10061, 6013, 20963, 1632, 34712, 12563, 23870, 1062, 2352, 1922, 15, 38878, 29, 580, 2865, 328, 2982, 24230, 286, 254, 38949, 15754, 328, 3056, 16, 13166, 14, 254, 1427, 20928, 29820, 496, 41704, 28433, 268, 33028, 16633, 14, 286, 16206, 274, 254, 30535, 36804, 862, 16, 22519, 254, 2330, 20928, 6757, 298, 4209, 45433, 338, 27, 27, 27, 20928, 20670, 12544, 8039, 338, 27, 25, 23, 452, 4131, 254, 12816, 274, 1125, 3483, 286, 21517, 28370, 8298, 1063, 338, 26, 20, 18, 14, 276, 6477, 274, 615, 1316, 16, 35118, 374, 18, 18, 26, 286, 3949, 274, 254, 6013, 39668, 274, 14, 276, 254, 427, 435, 15305, 14, 763, 1079, 2317, 452, 254, 8707, 286, 1427, 5834, 18928, 343, 254, 2591, 15, 14688, 420, 286, 254, 1735, 16, 188, 26210, 9494, 286, 4529, 32943, 16, 3699, 14618, 8686, 1008, 36848, 14, 13755, 5602, 8083, 2019, 1042, 836, 4823, 86, 1044, 447, 296, 625, 432, 8428, 46717, 286, 311, 729, 713, 495, 25, 22010, 7473, 33837, 10535, 17162, 38919, 2347, 328, 254, 1865, 19766, 3287, 1635, 407, 13920, 291, 45445, 1822, 4201, 16, 839, 888, 452, 836, 5215, 14, 3713, 343, 254, 10354, 1186, 9588, 294, 327, 13752, 282, 321, 7002, 14, 348, 248, 706, 274, 3395, 14, 286, 4564, 248, 4081, 8698, 9166, 282, 1336, 975, 9932, 432, 5354, 3613, 6013, 282, 836, 24165, 733, 1045, 977, 282, 22189, 254, 944, 16186, 17870, 1312, 16, 18329, 34488, 417, 9862, 11322, 2013, 3751, 28857, 375, 16, 27797, 4669, 3035, 286, 10394, 20246, 388, 710, 14, 2066, 14, 576, 26, 19, 23, 33837, 10535, 32118, 33837, 10535, 17162, 5461, 12304, 328, 10973, 1036, 418, 5038, 3287, 10, 21190, 2554, 15, 20, 18, 19, 22, 581, 6013, 8686, 1008, 36848, 14, 374, 19, 25, 20, 284, 20, 19, 26, 21, 14, 4087, 14, 23738, 6013, 4917, 4808, 4244, 10928, 2363, 1263, 324, 4808, 960, 13882, 23, 29600, 21, 286, 8539, 2013, 1250, 23133, 295, 15, 28903, 4197, 348, 1910, 286, 12302, 9145, 872, 1748, 14, 1648, 33027, 324, 1125, 13387, 29228, 1426, 16, 642, 20969, 324, 417, 40787, 43957, 328, 836, 30764, 14, 24961, 16474, 12820, 398, 14, 2739, 285, 274, 1648, 8660, 1525, 248, 22822, 32966, 14, 348, 248, 3293, 2279, 6013, 282, 248, 34196, 10650, 7074, 536, 27797, 4669, 3035, 286, 10394, 20246, 388, 710, 14, 29484, 14, 4426, 5461, 12304, 328, 10973, 1036, 418, 5038, 3287, 10, 21190, 2554, 15, 20, 18, 19, 22, 581, 14555, 10, 374, 19, 25, 20, 284, 20, 19, 26, 21, 14, 4087, 14, 23738, 9726, 3452, 1427, 338, 27, 27, 21, 23629, 1036, 16450, 3258, 348, 6013, 286, 3335, 7500, 1922, 14, 15002, 6053, 324, 576, 18326, 785, 8662, 16, 0, 1982, 368, 1797, 643, 11871, 324, 44694, 1640, 657, 1099, 411, 434, 268, 398, 706, 354, 917, 85, 390, 368, 1441, 3103, 276, 254, 1631, 4684, 286, 650, 747, 282, 4540, 282, 248, 3564, 8223, 14, 368, 1797, 1663, 282, 10258, 254, 977, 1619, 16, 3730, 387, 772, 657, 1099, 411, 434, 268, 398, 706, 354, 917, 85, 44694, 2072, 9364, 14, 360, 1797, 2449, 3148, 368, 1782, 872, 282, 1074, 633, 1026, 282, 254, 2104, 434, 944, 9604, 657, 1099, 411, 434, 268, 398, 706, 354, 917, 85, 286, 2815, 3462, 286, 3134, 641, 2563, 633, 3258, 17459, 14, 286, 368, 476, 669, 818, 633, 2072, 282, 254, 9364, 286, 1354, 5585, 274, 772, 3989, 15, 22066, 286, 3364, 15, 927, 15, 2255, 2072, 31782, 16, 44694, 311, 1683, 282, 1125, 3184, 657, 1099, 411, 434, 268, 398, 706, 354, 917, 85, 9094, 14, 286, 360, 1797, 7281, 254, 872, 282, 3217, 836, 9094, 286, 615, 2365, 6211, 286, 25728, 2292, 276, 248, 790, 286, 26416, 3026, 16, 1260, 248, 898, 14, 1081, 11045, 286, 4273, 19038, 476, 751, 254, 1062, 1640, 274, 254, 8349, 434, 1575, 282, 4540, 276, 248, 1026, 327, 434, 4479, 1081, 11841, 286, 1708, 1024, 16, 188, 14171, 434, 657, 1099, 411, 434, 268, 398, 706, 354, 917, 85, 2072, 3026, 476, 321, 3989, 11758, 14, 1081, 276, 44694, 286, 4619, 254, 1499, 16, 731, 434, 1726, 282, 4947, 633, 657, 1099, 411, 434, 268, 398, 706, 354, 917, 85, 2072, 3783, 811, 348, 353, 434, 3202, 282, 1323, 3184, 742, 15, 1259, 8899, 17604, 14, 286, 360, 1797, 1143, 254, 1213, 6742, 286, 7728, 282, 1336 ]
[ 1, 4251, 449, 1860, 3603, 254, 13206, 533, 21195, 14, 7051, 14, 286, 15167, 772, 1193, 8030, 16, 1860, 2055, 432, 248, 1619, 274, 1827, 2314, 286, 1919, 432, 1827, 8994, 16, 1860, 3768, 618, 2835, 286, 785, 343, 368, 282, 913, 368, 452, 1495, 4188, 16, 1395, 452, 1495, 4688, 16, 1395, 476, 5053, 959, 16, 188, 4412, 512, 14, 368, 1441, 1845, 580, 4188, 1919, 432, 248, 4196, 1015, 1464, 16, 27880, 2314, 16, 27880, 282, 3051, 4563, 12744, 16, 27880, 282, 2780, 276, 633, 1575, 16, 27880, 6995, 16, 1395, 403, 4269, 353, 16, 0, 41517, 254, 3834, 18020, 327, 2893, 343, 368, 2069, 3544, 311, 7754, 248, 5527, 16, 5891, 254, 1090, 14, 310, 452, 3477, 561, 1015, 3395, 17, 17310, 274, 19137, 1476, 286, 626, 452, 643, 1125, 12478, 348, 963, 348, 37294, 16, 1268, 327, 748, 2701, 436, 1002, 624, 11967, 1544, 626, 3432, 625, 580, 7250, 3541, 390, 248, 7021, 276, 7928, 16, 188, 43, 650, 11380, 5419, 248, 5732, 5612, 2094, 18020, 343, 12478, 977, 328, 254, 28394, 282, 7086, 254, 3544, 286, 1862, 688, 24618, 282, 254, 2069, 5127, 16, 188, 6644, 324, 688, 19137, 1476, 343, 8970, 12932, 286, 18331, 18020, 282, 6477, 561, 254, 2069, 3544, 16, 188, 988, 777, 282, 248, 18020, 343, 248, 1095, 8433, 282, 2706, 272, 24618, 274, 17590, 324, 633, 7250, 3544, 16, 188, 6235, 274, 512, 14, 563, 324, 248, 3524, 20654, 1269, 665, 23205, 4139, 14, 436, 1635, 248, 44036, 997, 407, 17215, 834, 286, 2706, 272, 4813, 24646, 5127, 16, 188, 1368, 452, 254, 7250, 4855, 759, 3544, 286, 368, 476, 7754, 2706, 28394, 532, 9150, 17590, 15, 1510, 1657, 19137, 1476, 16, 188, 19024, 594, 324, 618, 2069, 3544, 14, 310, 5103, 282, 8033, 687, 15, 10037, 19137, 1476, 282, 5228, 254, 3983, 432, 254, 5017, 628, 274, 618, 3544, 16, 1678, 1143, 14, 513, 2780, 327, 9150, 687, 3176, 774, 12021, 79, 254, 3544, 390, 1002, 818, 688, 4325, 12078, 282, 254, 3544, 314, 2770, 310, 35196, 282, 436, 4333, 481, 188, 43, 2314, 327, 368, 3768, 11953, 328, 7928, 1707, 328, 31167, 2069, 5127, 3, 188, 9654, 14, 310, 2314, 254, 10408, 274, 633, 11637, 16, 1838, 1181, 1755, 683, 254, 3524, 14, 5252, 21607, 327, 8752, 7928, 3673, 311, 16, 188, 1253, 248, 5230, 18020, 14, 310, 1623, 747, 254, 10408, 286, 3616, 3, 188, 22608, 436, 1470, 3, 310, 1623, 747, 633, 6915, 14, 353, 434, 1311, 248, 5527, 324, 479, 670, 353, 3144, 282, 19704, 282, 4793, 618, 2069, 1479, 16, 188, 28204, 11637, 3, 826, 3189, 4313, 1247, 328, 368, 3, 188, 510, 18020, 4313, 593, 1157, 328, 368, 16, 310, 2314, 512, 633, 11861, 328, 254, 2069, 12653, 286, 843, 282, 3616, 729, 3, 188, 1516, 11637, 4313, 8418, 328, 368, 16, 9222, 41060, 16, 188, 22608, 254, 10408, 274, 633, 18020, 3, 188, 43, 2314, 436, 18883, 11637, 2129, 188, 17041, 5230, 11637, 276, 5167, 10408, 3, 310, 2314, 633, 997, 1062, 1181, 3, 188, 9556, 254, 3189, 274, 436, 18020, 14, 353, 434, 593, 34162, 16, 188, 1368, 997, 20824, 276, 436, 26245, 3, 1838, 5167, 11637, 3, 188, 28204, 38913, 3122, 1037, 22608, 254, 11637, 286, 695, 3189, 16, 188, 2686, 11637, 311, 1623, 3837, 3, 380, 18883, 18956, 368, 3, 188, 43, 2314, 633, 18883, 20961, 466, 11637, 3, 2155, 4344, 343, 512, 254, 269, 508, 26245, 3, 188, 7542, 299, 39283, 715, 26195, 44194, 6309, 15421, 1706, 934, 299, 17160, 16, 188, 1516, 18883, 11637, 311, 593, 3837, 15404, 418, 11005, 436, 997, 3, 188, 5494, 5398, 254, 26245, 963, 3, 188, 1368, 997, 593, 1247, 276, 436, 11637, 3, 380, 3189, 18956, 368, 282, 25932, 3, 0, 12, 19, 28, 12665, 329, 31543, 330, 14, 7164, 1326, 399, 14, 27943, 28332, 26152, 14, 19109, 6673, 427, 16, 44660, 23059, 324, 715, 91, 42690, 11563, 32338, 17, 42098, 22837, 2642, 16, 39032, 19820, 5455, 297, 3439, 16, 374, 18, 19, 21, 2323, 374, 26, 29, 10, 21, 2192, 3593, 18, 18, 22, 22, 20, 25, 16, 27111, 28, 338, 18, 16, 19, 18, 18, 20, 17, 19, 22, 24, 23, 19, 26, 23, 26, 16, 3325, 18, 18, 22, 22, 20, 25, 16, 13021, 21, 16, 8217, 16, 46562, 5207, 1787, 28, 374, 21, 23, 22, 21, 23, 21, 19, 16, 188, 12, 20, 28, 36, 454, 413, 9745, 14, 6098, 78, 9013, 354, 14, 8529, 29599, 14, 16858, 820, 5525, 14, 24189, 367, 44, 14, 28185, 443, 44, 16, 23571, 274, 1303, 15, 25783, 23059, 328, 5623, 286, 3184, 274, 1464, 276, 1338, 343, 715, 91, 42690, 11563, 32338, 28, 248, 40066, 6363, 2260, 16, 25864, 293, 28418, 1085, 16, 374, 18, 18, 24, 4276, 29, 23, 10, 20, 2192, 19, 22, 18, 15, 25, 16, 46562, 5207, 1787, 28, 338, 24, 22, 20, 24, 27, 27, 18, 16, 0, 988, 16, 34623, 36569, 6625, 15334, 328, 254, 40878, 274, 772, 3015, 286, 360, 403, 27205, 282, 1336, 368, 5127, 248, 17144, 274, 3409, 324, 2764, 14248, 16, 45058, 17212, 403, 7353, 272, 9340, 1726, 286, 4475, 2520, 274, 980, 320, 420, 5851, 324, 657, 16, 34623, 36569, 286, 403, 3256, 17212, 327, 657, 16, 34623, 36569, 587, 4615, 23455, 276, 254, 2764, 16, 380, 657, 16, 34623, 36569, 6625, 476, 1336, 368, 4962, 633, 1034, 1283, 7148, 286, 7688, 633, 17144, 274, 32989, 4782, 324, 14248, 282, 1663, 16, 1547, 2156, 2023, 5215, 314, 20056, 286, 2802, 11, 282, 254, 14369, 348, 963, 348, 282, 657, 16, 34623, 36569, 14, 286, 2023, 1726, 1305, 324, 254, 657, 16, 34623, 36569, 16, 188, 12144, 1283, 4782, 286, 9107, 31145, 282, 254, 657, 16, 34623, 36569, 6625, 774, 321, 1143, 1125, 3956, 14, 1648, 34967, 17212, 286, 8085, 43420, 29, 368, 476, 40964, 657, 16, 34623, 36569, 6625, 348, 248, 32230, 274, 248, 587, 390, 4377, 14, 14655, 2035, 14, 1464, 6329, 3526, 14, 4171, 2320, 390, 5574, 5710, 14, 390, 32989, 1394, 4377, 16, 1286, 1851, 272, 5851, 5379, 311, 1726, 282, 368, 14, 248, 32989, 8901, 2381, 10257, 390, 32989, 6242, 4377, 774, 321, 272, 4360, 16, 0, 8799, 416 ]
[ 1, 21196, 4602, 4285, 282, 563, 888, 282, 7464, 5978, 14, 532, 701, 4212, 254, 801, 6887, 701, 11068, 16, 330, 10438, 1382, 13039, 254, 5183, 14, 254, 4718, 324, 254, 39179, 16, 188, 5125, 1275, 10620, 561, 254, 1874, 276, 254, 4853, 274, 254, 2543, 16, 3479, 15996, 3416, 282, 30282, 13384, 268, 82, 6401, 348, 695, 29915, 324, 254, 1708, 274, 254, 6815, 16, 1469, 4212, 763, 10193, 1312, 14, 1063, 2916, 2295, 10663, 457, 85, 19985, 4951, 354, 9814, 3891, 573, 254, 944, 13562, 4212, 274, 254, 1362, 14, 248, 8550, 3894, 282, 3555, 1628, 1631, 16, 354, 9814, 3891, 8461, 25213, 276, 282, 2543, 2530, 14, 348, 616, 2214, 1649, 597, 695, 19530, 1382, 274, 254, 2099, 314, 25, 15, 19, 481, 188, 44700, 363, 4870, 21321, 3268, 1587, 1055, 1683, 354, 9814, 3891, 16, 8829, 16306, 286, 248, 4212, 27189, 1318, 1938, 14, 2916, 2295, 10663, 6140, 695, 1250, 2537, 15, 6149, 39179, 282, 1394, 338, 18, 15, 19, 16, 496, 254, 4853, 274, 254, 10438, 14, 5891, 1275, 7233, 354, 570, 36435, 286, 1938, 11374, 14, 841, 16824, 5832, 4774, 328, 272, 2160, 314, 19, 18, 15, 20, 481, 5891, 1275, 4438, 561, 254, 2099, 343, 248, 9709, 483, 14, 348, 254, 4813, 286, 248, 2630, 671, 2615, 26479, 14, 841, 1694, 3316, 27826, 16, 188, 5125, 1275, 391, 16500, 597, 338, 19, 9709, 8128, 276, 616, 763, 15, 6149, 314, 530, 12093, 11, 561, 273, 328, 580, 4212, 286, 4941, 16306, 16, 21321, 3268, 457, 85, 15811, 15867, 2916, 2295, 10663, 457, 85, 1362, 742, 14737, 14, 348, 701, 669, 5781, 763, 416, 5988, 14, 11996, 343, 43958, 3157, 92, 1318, 324, 254, 2214, 1394, 16, 188, 9984, 5886, 314, 39279, 581, 4851, 457, 85, 1017, 15, 19247, 8178, 29926, 324, 338, 23, 6438, 328, 338, 26, 12478, 14, 1205, 3089, 5585, 274, 2712, 3479, 15996, 14, 4851, 16306, 282, 3223, 254, 367, 2344, 338, 22, 55, 4117, 23601, 30179, 2820, 3525, 11899, 3929, 2334, 1715, 5198, 338, 23, 15, 24, 16, 188, 9984, 5886, 9129, 1493, 254, 14351, 276, 254, 1708, 274, 254, 801, 343, 1241, 6438, 6524, 282, 248, 14941, 11111, 25339, 416, 5988, 3112, 561, 343, 254, 14002, 10331, 286, 248, 763, 15, 52, 5988, 1956, 597, 254, 4617, 407, 35236, 3126, 8003, 45139, 16, 380, 21820, 497, 888, 387, 353, 276, 254, 1708, 274, 254, 2543, 407, 14351, 1241, 959, 16, 32582, 18957, 916, 16500, 272, 416, 5988, 3893, 282, 1628, 1631, 14, 286, 841, 27021, 2543, 1285, 254, 1689, 387, 15, 13053, 14, 701, 11374, 328, 272, 1638, 42075, 3339, 14766, 26730, 17284, 8550, 16, 8003, 45139, 5781, 616, 2543, 416, 5988, 274, 254, 1362, 14, 670, 701, 1587, 1055, 1683, 25339, 314, 24, 15, 18, 481, 188, 9984, 5886, 25157, 11635, 268, 17160, 46503, 26418, 763, 4717, 1391, 27826, 282, 3034, 254, 2099, 14, 532, 3479, 15996, 2188, 3486, 276, 254, 4853, 274, 254, 2543, 16, 7667, 15, 584, 1662, 4844, 2530, 12478, 3849, 282, 3479, 15996, 457, 85, 801, 286, 1250, 6438, 274, 254, 2099, 14, 286, 835, 27645, 27963, 5398, 265, 248, 3893, 713, 1628, 1631, 324, 763, 624, 314, 24, 15, 22, 481, 5596, 3112, 8128, 286, 248, 9709, 483, 7207, 254, 17719, 14, 348, 3479, 15996, 1102, 1464, 16, 188, 33292, 1874, 807, 1649, 2626, 2292, 742, 14737, 276, 254, 6815, 39179, 16, 4270, 5886, 9129, 254, 2099, 1493, 286, 10565, 254, 3929, 23167, 457, 85, 9986, 276, 254, 1708, 274, 254, 10438, 16, 188, 510, 21820, 24188, 4079, 343, 1694, 15, 584, 1662, 4844, 2530, 12478, 274, 615, 1193, 286, 835, 248, 2849, 14, 533, 3849, 282, 763, 6438, 314, 26, 15, 22, 481, 2646, 248, 8550, 561, 14, 21007, 13798, 1203, 18424, 9831, 248, 3894, 713, 977, 1631, 324, 248, 3893, 14, 14351, 3339, 14766, 26730, 286, 25339, 14, 1205, 25553, 8003, 45139, 282, 2543, 16, 8003, 45139, 835, 11374, 328, 272, 2160, 282, 1649, 616, 2214, 597, 4941, 6438, 16, 188, 8450, 15996, 852, 417, 22551, 16, 2323, 13191, 36843, 18777, 276, 21520, 1704, 34769, 328, 248, 3112, 483, 286, 23200, 3990, 2009, 91, 5986, 1587, 1055, 1683, 354, 570, 35409, 282, 2541, 254, 4270, 5886, 1394, 282, 2537, 314, 19, 19, 15, 24, 481, 12182, 14, 327, 369, 348, 2722, 348, 3479, 15996, 650, 751, 14, 348, 254, 2214, 6323, 7224, 804, 14737, 276, 254, 1708, 274, 254, 15085, 16, 188, 13655, 6160, 9681, 2502, 1694, 6438, 324, 4270, 5886, 14, 348, 254, 8178, 6165, 4805, 328, 254, 2530, 11544, 16, 380, 2214, 835, 2828, 1051, 254, 7374, 804, 14737, 276, 254, 4853, 274, 254, 15085, 407, 22462, 273, 763, 3479, 15996, 2530, 29375, 282, 7688, 254, 3223, 16, 188, 38599, 10193, 1312, 324, 4270, 5886, 5781, 4331, 15, 25921, 3830, 14, 15867, 407, 15797, 2011, 30744, 286, 25339, 14, 663, 1081, 2194, 265, 1241, 12478, 1004, 16, 8003, 45139, 3849, 254, 13119, 343, 1694, 416, 5988, 16, 1180, 3479, 15996, 14, 35409, 286, 34769, 497, 254, 13047, 6851, 343, 763, 12478, 1004, 16, 27963, 457, 85, 763, 416, 5988, 3849, 3479, 15996, 16, 188, 510, 42204, 14, 21401, 5520, 14, 533, 369, 3849, 407, 4832, 29915, 1201, 781, 15113, 21670, 14, 332, 339, 1055, 254, 17876, 293, 314, 58, 446, 5832, 280, 581, 4851, 27189, 276, 254, 5072, 298, 2527, 338, 26, 55, 15294, 2099, 274, 254, 4117, 23601, 30179, 2820, 3525, 11899, 314, 23, 15, 19, 11, 545, 7420, 282, 42204, 9619, 695, 1250, 15, 584, 1662, 4844, 3929, 16, 188, 25502, 21670, 32293, 248, 3316, 2099, 314, 16702, 27826, 581, 6755, 811, 580, 1382, 328, 1241, 12478, 286, 1241, 16306, 14, 1205, 13260, 561, 7261, 276, 254, 3223, 16, 188, 58, 446, 5832, 280, 25157, 19985, 21897, 30744, 13011, 15113, 21670, 10990, 15, 1507, 15, 44097, 286, 561, 15, 1507, 15, 483, 939, 254, 2099, 457, 85, 801, 763, 27826, 14, 348, 254, 2099, 6204, 4717, 1391, 16, 188, 510, 21401, 4574, 9129, 939, 276, 254, 1708, 274, 254, 2543, 16, 2640, 580, 561, 14, 6870, 17831, 87, 26638, 1587, 1055, 286, 369, 271, 15770, 1444, 282, 2543, 407, 6221, 6631, 87, 325, 16, 6631, 87, 325, 835, 25177, 1250 ]
[ 1, 1040, 16, 188, 510, 2080, 328, 436, 4282, 311, 6702, 407, 9201, 16, 8064, 276, 512, 254, 1460, 311, 2828, 407, 354, 530, 1719, 1893, 255, 16, 38531, 311, 6980, 324, 368, 282, 1806, 254, 2080, 328, 436, 4282, 286, 282, 5166, 254, 2080, 324, 633, 3258, 3681, 16, 1395, 933, 417, 1949, 3378, 14, 9741, 14, 889, 390, 16499, 254, 2080, 276, 665, 1026, 5569, 368, 3915, 3427, 8969, 432, 354, 530, 1719, 1893, 255, 407, 29473, 441, 939, 772, 2960, 3135, 328, 436, 4282, 16, 188, 22, 16, 26, 2640, 2657, 282, 13234, 576, 16, 25, 368, 403, 11152, 282, 16499, 1460, 2969, 254, 889, 274, 4708, 282, 2591, 3310, 390, 2543, 3027, 889, 2228, 756, 670, 2152, 1269, 10943, 16, 188, 1516, 3526, 5085, 561, 843, 286, 670, 360, 4672, 14, 2120, 14, 889, 286, 17110, 633, 3258, 1460, 16, 188, 23, 16, 19, 839, 774, 9741, 390, 14611, 436, 3526, 387, 665, 671, 286, 324, 665, 1865, 16, 188, 3350, 960, 436, 2586, 368, 7378, 282, 772, 10602, 274, 633, 3258, 1460, 276, 8726, 343, 436, 3526, 314, 285, 13425, 432, 671, 282, 671, 481, 188, 35, 16, 2028, 368, 2023, 1460, 282, 441, 3468, 14, 324, 1610, 14, 407, 368, 10160, 441, 272, 4436, 9009, 4123, 668, 1460, 12255, 282, 441, 390, 772, 3462, 390, 3134, 16, 188, 36, 16, 11648, 633, 889, 274, 436, 2586, 286, 254, 3134, 286, 12816, 5740, 939, 353, 16, 188, 24, 16, 19, 1860, 3054, 254, 3462, 286, 3134, 360, 3831, 939, 436, 2586, 16, 188, 24, 16, 20, 1860, 3669, 282, 633, 18685, 16, 188, 24, 16, 21, 1860, 818, 282, 772, 354, 530, 1719, 1893, 255, 5287, 593, 360, 774, 4017, 368, 274, 2628, 85, 14, 38894, 14, 5961, 286, 3284, 2969, 4436, 390, 1470, 16, 188, 24, 16, 22, 5931, 642, 4462, 533, 360, 774, 23859, 368, 274, 387, 254, 671, 254, 1460, 311, 5563, 16, 188, 25, 16, 19, 1860, 772, 8349, 2497, 11645, 314, 71, 16, 73, 16, 276, 1316, 282, 4513, 254, 1460, 481, 188, 25, 16, 20, 7693, 254, 13533, 311, 276, 4458, 343, 580, 274, 254, 6206, 324, 533, 254, 1460, 369, 5563, 16, 188, 25, 16, 21, 7693, 360, 403, 2347, 390, 13663, 407, 1533, 282, 1041, 13533, 16, 188, 25, 16, 22, 24541, 348, 2449, 1788, 14, 360, 587, 417, 3768, 633, 3258, 1460, 343, 665, 642, 2543, 4532, 16, 839, 774, 2023, 4440, 9725, 668, 4076, 14, 2586, 889, 14, 4681, 324, 4479, 3462, 14, 3134, 14, 8946, 286, 1460, 14, 6948, 5957, 14, 286, 2815, 2586, 1460, 282, 33433, 494, 2543, 4532, 29, 2228, 14, 836, 9725, 587, 417, 2408, 665, 1460, 533, 11380, 21953, 368, 16, 188, 25, 16, 24, 16, 20, 2003, 633, 4139, 513, 417, 3073, 328, 772, 5287, 16, 188, 1368, 476, 1041, 2462, 282, 633, 3258, 1460, 407, 29473, 441, 939, 772, 2960, 3135, 328, 436, 4282, 16, 188, 1212, 756, 4436, 368, 603, 368, 961, 441, 282, 16, 839, 513, 417, 4856, 4910, 3312, 949, 16076, 16, 2028, 368, 8521, 633, 4436, 2859, 343, 441, 14, 368, 5053, 282, 4615, 4436, 41686, 668, 3134, 286, 38894, 432, 441, 16, 5830, 4436, 3808, 360, 4856, 3672, 272, 4436, 2859, 282, 533, 368, 476, 3669, 16, 1286, 387, 665, 671, 368, 7415, 368, 513, 417, 961, 282, 4615, 772, 16076, 14, 3256, 11917, 286, 276, 254, 2186, 1360, 1479, 254, 2906, 769, 329, 30336, 6423, 0, 20690, 2116, 331, 3404, 20, 888, 432, 254, 15659, 369, 3061, 772, 944, 23888, 37813, 436, 802, 14, 1544, 360, 2417, 265, 254, 556, 13632, 274, 4829, 20955, 286, 254, 26767, 274, 21454, 16, 1678, 14, 360, 497, 25858, 5785, 1215, 13400, 343, 272, 19299, 2332, 274, 8453, 286, 436, 34228, 248, 8167, 47528, 2332, 274, 12078, 276, 254, 6029, 16, 1260, 1668, 15, 11957, 398, 23519, 254, 8434, 742, 274, 615, 8924, 924, 286, 2784, 12935, 3297, 17695, 254, 2099, 14, 18356, 248, 13317, 7846, 2746, 14, 2486, 14, 254, 763, 4314, 14560, 387, 254, 1708, 497, 1845, 39883, 3613, 286, 26547, 14954, 24, 16, 188, 1843, 626, 3517, 254, 1897, 29, 663, 311, 254, 1708, 331, 3404, 20, 2214, 33, 19932, 254, 13940, 13623, 387, 254, 11179, 354, 1384, 40, 374, 18, 19, 25, 14, 436, 369, 12864, 315, 9325, 16, 3730, 457, 85, 843, 353, 457, 85, 6327, 563, 29, 360, 457, 619, 2023, 368, 343, 254, 21444, 14, 1922, 3015, 7697, 14, 642, 4139, 286, 368, 476, 1041, 633, 2482, 407, 254, 980, 274, 436, 3802, 16, 188, 1435, 457, 85, 5288, 254, 8657, 888, 282, 254, 45926, 32364, 11899, 1800, 21, 1091, 813, 18, 18, 16594, 4269, 274, 10040, 311, 387, 13467, 286, 26547, 14954, 24, 286, 39883, 3613, 403, 1081, 3103, 16, 39883, 3613, 403, 17715, 3435, 561, 274, 14655, 14, 343, 769, 39534, 7324, 769, 88, 18277, 7324, 769, 18455, 466, 1747, 7324, 769, 52, 19, 77, 666, 286, 769, 36, 753, 77, 92, 2213, 666, 10601, 282, 2120, 597, 254, 17144, 274, 254, 14069, 1390, 16, 388, 10898, 497, 1017, 14, 756, 282, 321, 24173, 348, 254, 21454, 497, 5701, 248, 1708, 495, 8195, 286, 944, 650, 5041, 327, 596, 758, 468, 10298, 16, 26547, 14954, 24, 328, 254, 642, 1116, 14, 6432, 407, 769, 85, 277, 19, 903, 7324, 769, 20109, 40, 72, 7324, 769, 36, 21, 52, 84, 21800, 7324, 769, 24474, 19, 413, 666, 286, 769, 32221, 92, 7324, 1851, 813, 331, 3404, 20, 14405, 4314, 758, 254, 4182, 1390, 274, 401, 1588, 43121, 14, 2350, 328, 282, 248, 801, 1619, 8195, 14, 3448, 298, 599, 26947, 3622, 254, 1708, 2214, 16, 1997, 436, 1110, 626, 3470, 457, 86, 1181, 15973, 14, 2486, 626, 369, 254, 745, 22983, 4205, 327, 26547, 14954, 24, 403, 756, 254, 1640, 603, 596, 476, 513, 353, 512, 687, 959, 16, 188, 2686, 457, 85, 830, 254, 11179, 354, 1384, 40, 374, 18, 19, 25, 3144, 276, 14, 29071, 3280, 328, 254, 18923, 85, 274, 254, 15948, 1305, 841, 1648, 254, 10375, 3929, 14, 360, 3256, 573, 282, 2408, 353, 276, 254, 6081, 2288, 274, 254, 802, 1091, 1002, 12581, 331, 3404, 28, 22811 ]
[ 1, 4549, 19143, 3819, 16, 731, 555, 248, 2196, 9670, 19143, 3819, 286, 4279, 272, 23888, 14, 963, 4652, 4549, 19143, 10825, 282, 2683, 328, 254, 4549, 2703, 830, 626, 403, 248, 34639, 274, 8856, 282, 21387, 16, 380, 5715, 587, 15813, 1996, 387, 8251, 15195, 1209, 7626, 40964, 1245, 390, 387, 7626, 1245, 16, 1860, 6429, 348, 248, 7626, 25925, 587, 2353, 688, 1527, 16, 0, 36752, 16, 20, 21, 10371, 363, 300, 11674, 15946, 37372, 11225, 18246, 16, 19, 19, 21487, 300, 2984, 276, 254, 20835, 18818, 16, 19, 22, 4669, 3035, 883, 4389, 12324, 16, 19, 20, 9547, 371, 3982, 16, 20, 22, 14472, 685, 78, 7200, 777, 16, 18, 27, 16, 19, 20, 16, 19, 22, 16, 19, 24, 16, 20, 21, 16, 18, 20, 16, 19, 19, 16, 20, 18, 16, 18, 22, 16, 19, 25, 16, 19, 26, 16, 19, 26, 16, 19, 23, 16, 19, 24, 16, 19, 24, 8739, 300, 22839, 33638, 16, 188, 2300, 347, 40, 14725, 360, 4285, 327, 369, 248, 7924, 274, 671, 16, 188, 15525, 282, 29183, 16, 21, 19, 16, 18, 22, 314, 54, 4151, 254, 15976, 309, 2189, 748, 8, 521, 375, 29, 85, 254, 980, 274, 39210, 8, 521, 375, 29, 85, 5130, 888, 15, 6713, 273, 2835, 33, 1130, 807, 8, 521, 375, 29, 307, 643, 4078, 309, 600, 3, 55, 12873, 427, 6658, 22053, 311, 2430, 254, 289, 3507, 8288, 412, 3, 23076, 28033, 16, 19, 23, 16, 19, 24, 16, 19, 26, 16, 20, 18, 16, 20, 21, 16, 20, 22, 16, 19, 21, 16, 20, 22, 16, 20, 23, 10625, 296, 3675, 16, 18, 20, 13356, 885, 300, 1676, 2333, 382, 16, 18, 21, 1201, 1930, 16, 41, 30850, 28, 500, 1888, 345, 2529, 396, 659, 1289, 300, 92, 1220, 16, 510, 4987, 274, 254, 21056, 23706, 276, 374, 18, 18, 25, 16, 2899, 801, 2956, 8311, 1444, 2289, 338, 19, 14, 348, 628, 274, 254, 20875, 6180, 2857, 6881, 4580, 8, 521, 375, 29, 85, 14164, 5293, 16, 188, 9059, 3613, 8, 521, 375, 29, 85, 9962, 286, 7956, 3430, 77, 403, 1311, 348, 2448, 1788, 407, 8834, 5945, 6167, 14, 343, 254, 9962, 1129, 4136, 276, 2824, 274, 254, 8223, 14, 286, 7956, 3430, 77, 1129, 3798, 977, 16, 14644, 15202, 13194, 75, 16, 19, 19, 21295, 286, 67, 16, 18, 23, 17774, 91, 1795, 9330, 16, 20, 22, 852, 465, 24788, 279, 69, 5888, 554, 3223, 14419, 21309, 16, 19, 21, 7439, 47758, 16, 686, 712, 1412, 725, 250, 5951, 14, 830, 1694, 9862, 403, 16897, 14, 18796, 4665, 2477, 282, 687, 16, 22, 6320, 7489, 862, 14, 687, 15, 23450, 254, 16, 24, 6320, 7489, 862, 8697, 18031, 432, 254, 1350, 286, 9670, 7363, 16, 16818, 368, 4356, 811, 19793, 775, 33, 1931, 835, 959, 22907, 19, 22, 353, 8, 521, 375, 29, 85, 4095, 327, 39210, 311, 5498, 683, 43553, 314, 2406, 298, 360, 2102, 865, 311, 495, 23, 481, 1304, 573, 248, 7389, 27045, 4756, 40763, 16, 19, 18, 663, 345, 573, 282, 4856, 282, 39490, 670, 353, 4212, 13021, 38201, 16, 20, 19, 16, 28940, 311, 615, 5575, 14, 732, 35925, 343, 2982, 5536, 282, 1110, 561, 688, 274, 254, 3784, 869, 14064, 286, 16, 1130, 2427, 8, 521, 375, 29, 86, 1041, 3177, 449, 15695, 282, 29183, 16, 18, 18100, 17, 47920, 8118, 16, 18, 19, 1822, 11072, 254, 11194, 3848, 5308, 4966, 33077, 21681, 348, 13254, 443, 7504, 2048, 1704, 91, 18495, 348, 33493, 443, 7504, 17800, 21212, 348, 43553, 46653, 12092, 2009, 5458, 1352, 348, 39210, 15202, 13194, 75, 25474, 740, 39149, 348, 22039, 24248, 5945, 22009, 16, 188, 20, 16, 20, 22, 8229, 311, 347, 15898, 14929, 4, 314, 24946, 949, 348, 3610, 276, 380, 2514, 465, 1343, 5047, 1908, 81, 2063, 16632, 2588, 374, 18, 19, 25, 2640, 3610, 6006, 0, 14918, 1249, 11571, 20670, 319, 311, 272, 4095, 8927, 4301, 276, 254, 21741, 4610, 274, 388, 1277, 25575, 14, 3605, 9495, 16, 26863, 11318, 1525, 2819, 432, 5707, 3859, 1275, 14, 286, 309, 2609, 646, 12782, 14, 8583, 476, 4126, 1129, 2734, 254, 27446, 15421, 505, 268, 9938, 1089, 14, 9884, 2233, 30961, 14, 15256, 13151, 14, 14696, 14, 286, 321, 4301, 276, 254, 5557, 9619, 309, 2609, 646, 4580, 4272, 16, 20798, 743, 21741, 41322, 1318, 8841, 14, 11984, 432, 338, 14, 26, 21, 18, 15, 20, 14, 18, 26, 19, 6106, 4525, 14, 587, 321, 6311, 315, 35764, 286, 4024, 282, 4042, 633, 3616, 286, 7363, 16, 188, 6, 20, 23, 23, 14, 25, 19, 18, 1027, 338, 27, 27, 25, 323, 83, 401, 86, 16, 188, 6, 20, 23, 18, 14, 18, 18, 18, 1027, 338, 26, 21, 18, 323, 83, 401, 86, 16, 188, 6, 20, 24, 18, 14, 18, 18, 18, 1027, 374, 18, 26, 19, 323, 83, 401, 86, 16, 188, 6, 20, 23, 20, 14, 18, 18, 18, 1027, 338, 27, 20, 18, 323, 83, 401, 86, 16, 188, 6, 20, 23, 18, 14, 22, 23, 18, 1027, 338, 26, 21, 18, 323, 83, 401, 86, 16, 188, 6, 374, 23, 18, 14, 18, 18, 18, 1027, 338, 26, 21, 18, 323, 51, 16, 401, 86, 16, 188, 6, 374, 23, 20, 14, 18, 18, 18, 1027, 338, 27, 20, 18, 323, 51, 16, 401, 86, 16, 188, 6, 374, 23, 23, 14, 25, 19, 18, 1027, 338, 27, 27, 25, 323, 51, 16, 401, 86, 16, 188, 6, 374, 24, 18, 14, 18, 18, 18, 1027, 374, 18, 26, 19, 323, 51, 16, 401, 86, 16, 0, 43, 4285, 282, 3109, 597, 618, 12061, 2099, 324, 31893, 434, 6086, 436, 802, 286, 1574, 2430, 1594, 1015, 16, 310, 452, 643, 2328, 35180, 314, 264, 7290, 2996, 10077, 353, 11, 1544, 310, 807, 1431, 4977, 1245, 282, 254, 4678, 86, 2609, 14, 532, 310, 452, 1582, 347, 297, 24926, 4, 2626, 15829, 248, 31490, 32855, 16, 1838, 310, 3155, 436, 369, 1438, 282, 321, 580, 324, 254, 4945, 16, 188, 510, 13242, 327, 310, 1707, 618, 2629, 742, 274, 4315, 39092, 14, 593, 310, 2263, 254, 17335, 274, 6069, 688, 274, 618, 1193, 4325, 12347 ]
[ 1, 2129, 188, 40876, 264, 8470, 5448, 1923, 411, 1254, 4732, 38144, 30127, 327, 254, 593, 15, 8661, 323, 5181, 434, 43546, 311, 272, 2856, 42288, 1661, 418, 8816, 432, 27385, 286, 345, 555, 5770, 436, 418, 8816, 282, 254, 5979, 14, 939, 520, 23127, 2129, 188, 39190, 4529, 41730, 344, 256, 569, 432, 8061, 16, 46337, 14082, 16, 549, 10482, 248, 6840, 327, 311, 3364, 282, 6725, 633, 15411, 1464, 16, 188, 26206, 20254, 3430, 629, 6971, 16400, 347, 1304, 1208, 434, 43546, 4, 3051, 387, 416, 518, 8499, 13570, 16, 21221, 20254, 6567, 28, 5817, 1333, 2614, 16, 23770, 16, 679, 17, 18943, 20254, 27663, 17, 28319, 772, 3015, 28, 3817, 1333, 21065, 8499, 16, 679, 8183, 6797, 570, 28, 5817, 1333, 2614, 16, 23770, 16, 679, 17, 21065, 41703, 325, 892, 5817, 1333, 2614, 16, 23770, 16, 679, 17, 21065, 24615, 613, 5817, 1333, 2614, 16, 23770, 16, 679, 17, 21065, 376, 16880, 72, 9354, 5817, 1333, 2614, 16, 6657, 11741, 16, 679, 17, 21065, 41703, 325, 892, 5817, 1333, 2614, 16, 16244, 16, 679, 17, 21065, 41703, 325, 892, 7560, 8997, 4309, 1287, 5312, 39, 324, 624, 10280, 28, 5817, 1333, 2614, 16, 23793, 16, 679, 17, 52, 518, 8499, 28981, 330, 39230, 92, 17572, 10977, 91, 251, 267, 2357, 16, 27384, 314, 52, 16, 39, 16, 37, 2612, 7034, 45133, 1027, 11526, 27384, 706, 26618, 4167, 1027, 11107, 706, 15976, 27384, 1027, 8183, 10967, 9241, 1027, 416, 41026, 16880, 14550, 706, 30858, 1027, 24882, 11100, 14, 18459, 273, 706, 11050, 1027, 1948, 1702, 877, 343, 416, 518, 8499, 13570, 3817, 1333, 2757, 544, 16, 679, 347, 1304, 1208, 434, 43546, 4, 12477, 17690, 28, 15623, 5246, 3834, 28603, 403, 8311, 597, 276, 10554, 1663, 286, 915, 748, 368, 1143, 479, 513, 5243, 17368, 27587, 403, 7362, 479, 9391, 997, 748, 368, 1143, 479, 513, 1012, 327, 695, 687, 360, 1441, 417, 1041, 641, 15579, 14, 670, 16136, 13610, 751, 1480, 2019, 670, 368, 1441, 3690, 513, 368, 6840, 33, 1218, 869, 836, 3005, 310, 16, 3217, 441, 888, 282, 14, 3217, 441, 888, 282, 16, 3217, 441, 888, 282, 830, 360, 497, 14, 3217, 441, 888, 282, 830, 360, 497, 16, 826, 4577, 3144, 276, 11624, 11179, 43694, 11179, 43694, 11179, 43694, 11179, 43694, 11179, 3, 188, 8908, 47850, 43546, 2701, 4341, 1052, 282, 33171, 55, 5805, 3879, 668, 616, 6840, 16, 188, 35, 43546, 324, 272, 906, 18082, 2059, 43546, 7607, 17, 2028, 360, 12175, 14, 353, 457, 85, 1726, 282, 2780, 254, 4932, 274, 748, 360, 403, 32401, 16, 3699, 3117, 13017, 476, 33708, 772, 15411, 1464, 16, 2028, 360, 2780, 248, 6840, 274, 254, 8819, 14, 353, 457, 85, 1837, 282, 12175, 343, 5839, 16, 6338, 466, 1357, 8468, 33708, 15411, 16, 731, 457, 85, 1837, 282, 12175, 12864, 24056, 670, 360, 403, 21465, 14, 769, 13248, 2427, 457, 86, 2314, 479, 7324, 769, 43, 457, 79, 248, 4293, 7324, 769, 43, 476, 457, 86, 513, 2626, 977, 7324, 769, 43, 457, 79, 10661, 407, 3997, 14, 1648, 2572, 6423, 1286, 360, 2780, 327, 2572, 2427, 457, 86, 2314, 441, 390, 1521, 14, 843, 476, 360, 2780, 327, 750, 587, 3541, 772, 24056, 33, 1286, 360, 2780, 327, 360, 403, 10661, 286, 248, 4293, 14, 843, 476, 360, 12175, 276, 5839, 668, 772, 30624, 33, 21326, 1125, 3888, 13017, 587, 8770, 772, 15411, 1464, 16, 2028, 360, 2780, 248, 6840, 14, 360, 2411, 3893, 15, 22921, 276, 15411, 16, 3699, 2196, 15102, 33708, 772, 24056, 974, 360, 2411, 3893, 15, 22921, 428, 40798, 1055, 14, 5019, 47355, 14, 2630, 15, 31728, 14, 286, 8539, 276, 15411, 670, 360, 2780, 248, 6840, 16, 826, 15411, 587, 1336, 368, 452, 272, 440, 18082, 2059, 15411, 1464, 16, 188, 1253, 403, 15411, 20528, 14, 286, 933, 15169, 321, 960, 729, 33, 43546, 20528, 403, 900, 407, 248, 5081, 274, 30076, 1648, 15277, 317, 14, 29100, 1322, 14, 411, 281, 39202, 14, 31891, 14, 286, 4727, 78, 958, 14, 286, 403, 889, 324, 15411, 14, 23225, 14, 286, 17493, 376, 16, 1691, 1042, 254, 13166, 1623, 1309, 668, 15411, 20528, 33, 1691, 1042, 254, 13166, 1623, 1309, 668, 32401, 254, 685, 85, 551, 33, 188, 46, 7070, 885, 34769, 314, 38, 15, 4141, 11, 26151, 85, 1223, 418, 447, 1997, 330, 43546, 655, 305, 301, 16, 188, 1516, 369, 272, 732, 38054, 16313, 324, 15411, 14, 343, 2006, 1922, 18241, 6432, 16, 418, 7070, 885, 34769, 28539, 5785, 2144, 343, 616, 4403, 28697, 286, 1956, 15, 4464, 14951, 2263, 687, 254, 26223, 43546, 655, 305, 301, 16, 1469, 13583, 616, 17548, 14, 9795, 668, 254, 37001, 19324, 29377, 327, 701, 13896, 324, 286, 18815, 327, 701, 1848, 625, 751, 248, 2014, 6975, 14, 533, 369, 248, 6840, 16, 839, 497, 626, 324, 15411, 1205, 701, 369, 626, 282, 4403, 16, 188, 21172, 1171, 254, 1800, 19, 6840, 282, 1920, 368, 432, 32401, 286, 843, 368, 476, 11094, 254, 8819, 434, 20414, 282, 41459, 633, 15411, 1464, 16, 188, 2337, 1333, 2614, 16, 47928, 92, 20, 47928, 92, 16, 2929, 7560, 1336, 441, 4565, 624, 790, 5588, 20, 47928, 92, 362, 2280, 407, 20389, 772, 4945, 286, 17016, 85, 16, 347, 510, 11261, 25280, 7034, 274, 31362, 398, 324, 11938, 85, 706, 399, 17648, 4, 311, 3427, 407, 7416, 1337, 38734, 258, 286, 12448, 407, 2556, 252, 14489, 286, 3737, 407, 18213, 24033, 5734, 16, 1223, 4356, 4436, 286, 1315, 441, 865, 748, 368, 1141, 668, 772, 5607, 92, 20, 47928, 92, 362, 2280, 428, 286, 748, 743, 4945, 368, 1754, 360, 1218, 16, 3699, 4436, 28, 543, 12460, 6702, 63, 10944, 368, 324, 633, 1305, 3, 0, 10512, 7456, 41043, 1305, 783, 22803, 3340, 314, 21522, 282, 843, 353, 4250, 8302, 5867, 1935, 11, 328, 248, 5438, 33, 188, 1130, 6837, 328, 633, 31413, 2725, 286, 843, 353, 9993, 3038, 16, 310, 1797, 3477, 17837, 282, 618, 783, 22803, 46743, 343, 6622, 1508, 16, 188, 43, 1797, 3477, 17837, 432, 272, 883, 13441, 282, 248, 500, 1377, 15361, 500, 1344, 994, 687, 783, 22803, 1912, 532, 476, 625, 915, 248, 1026, 274, 7543, 7456, 41043, 282, 3340, 282, 254, 783 ]
[ 1, 15, 16985, 390, 33424, 11, 286, 7065, 254, 1830, 274, 254, 2133, 16, 9127, 959, 324, 633, 15596, 16, 188, 7849, 4597, 14, 254, 9498, 369, 1815, 15, 11099, 6674, 328, 1125, 41946, 16, 22362, 601, 315, 11042, 353, 16, 188, 30223, 3313, 14, 593, 9729, 368, 11042, 254, 9498, 16, 310, 5565, 310, 807, 1354, 5982, 324, 254, 2517, 14, 532, 3136, 28656, 5139, 274, 254, 23527, 286, 7338, 328, 10243, 399, 1054, 258, 5207, 49, 39266, 286, 11050, 403, 1623, 7280, 16, 13397, 14, 596, 403, 1789, 327, 310, 452, 6139, 286, 715, 37962, 687, 254, 1090, 432, 9298, 2214, 2672, 5444, 407, 248, 5207, 49, 16, 9127, 593, 1181, 324, 633, 2169, 4245, 16, 0, 12610, 747, 248, 13109, 458, 3343, 13054, 329, 436, 657, 16, 15008, 434, 6086, 276, 436, 9423, 91, 3400, 26245, 533, 3277, 43598, 22299, 15800, 11490, 16, 6225, 2620, 43231, 13921, 1198, 31181, 16, 330, 1247, 1026, 282, 1431, 561, 432, 254, 9287, 327, 29375, 587, 321, 9714, 282, 8033, 286, 913, 742, 14, 641, 2563, 254, 5332, 16, 22189, 254, 2774, 26245, 348, 15, 262, 14, 390, 5053, 7383, 7242, 432, 254, 867, 324, 254, 3834, 997, 16, 188, 34626, 38645, 311, 338, 18, 18, 7, 2416, 72, 3548, 42262, 416, 9406, 2071, 44472, 7421, 10812, 1708, 16, 7560, 3751, 836, 403, 1143, 15, 927, 15, 2538, 286, 254, 396, 1293, 774, 452, 4372, 3065, 44682, 1899, 282, 254, 11671, 1213, 16, 188, 21857, 323, 283, 23084, 403, 19184, 260, 12090, 42262, 17, 1021, 395, 903, 16, 7560, 3751, 836, 403, 1143, 15, 927, 15, 2538, 286, 254, 396, 1293, 274, 254, 35903, 774, 452, 4372, 3065, 44682, 1899, 282, 254, 11671, 1213, 16, 826, 933, 756, 3073, 328, 254, 21899, 533, 311, 6397, 417, 7775, 670, 9150, 254, 35903, 16, 188, 2231, 15, 10336, 531, 11983, 4018, 555, 248, 641, 15, 3323, 531, 26594, 327, 6382, 4561, 35953, 14, 343, 9587, 14961, 888, 706, 30309, 38182, 16, 188, 11518, 5158, 4075, 15535, 428, 5053, 633, 29648, 407, 6069, 1004, 5224, 282, 633, 7089, 16, 2028, 8459, 348, 248, 2057, 26245, 14, 4615, 338, 23, 7, 742, 16, 0, 2432, 403, 641, 19534, 2066, 324, 36814, 1800, 21, 428, 411, 3053, 5153, 314, 19, 27, 26, 90, 2682, 20068, 5368, 11, 543, 5858, 40, 63, 276, 772, 5287, 16, 1395, 476, 1336, 441, 561, 407, 28281, 248, 5575, 324, 436, 3929, 16, 771, 1915, 403, 14, 327, 1544, 368, 403, 1045, 14, 368, 1339, 452, 1996, 4405, 390, 403, 1438, 282, 1115, 436, 2099, 16, 731, 650, 321, 1623, 1247, 603, 368, 807, 4356, 11608, 248, 5575, 324, 436, 3929, 348, 327, 2701, 798, 484, 275, 325, 877, 16, 2000, 248, 624, 3316, 7538, 324, 642, 12587, 16, 839, 22530, 9580, 9017, 19534, 1033, 1362, 286, 368, 587, 1074, 327, 353, 587, 417, 1354, 1034, 324, 633, 5575, 282, 3073, 276, 436, 2245, 16, 9127, 248, 2187, 3, 188, 3992, 368, 476, 818, 10280, 14, 14186, 38829, 14, 390, 642, 3762, 314, 16031, 20323, 14, 1239, 20323, 14, 3838, 2612, 324, 36814, 1800, 21, 428, 411, 3053, 5153, 314, 19, 27, 26, 90, 2682, 20068, 5368, 11, 543, 5858, 40, 63, 282, 4675, 484, 275, 325, 877, 16, 3063, 353, 1012, 3, 0, 23618, 324, 4669, 267, 387, 22785, 20537, 14, 3567, 16, 276, 39872, 14, 6724, 33, 188, 34661, 20537, 14, 3567, 16, 276, 39872, 14, 6724, 311, 272, 13663, 23071, 274, 4669, 267, 23152, 16, 4669, 267, 15, 39607, 54, 530, 15723, 5480, 254, 4351, 343, 3461, 15, 35926, 15803, 23059, 3462, 14, 31012, 7742, 14, 10640, 286, 5553, 5322, 286, 8706, 7528, 2497, 16, 4669, 267, 15, 39607, 54, 530, 311, 9714, 282, 14015, 327, 687, 848, 18, 7, 274, 39236, 276, 254, 1928, 2016, 10443, 328, 580, 390, 624, 11024, 49, 1505, 8712, 14, 24095, 54, 530, 8712, 14, 390, 8500, 1244, 8712, 3462, 1033, 1362, 282, 2023, 729, 343, 8706, 23564, 2257, 3184, 286, 14486, 7381, 7346, 16, 188, 2515, 603, 368, 403, 2731, 324, 4669, 267, 3462, 276, 39872, 14, 1572, 2579, 85, 12131, 14, 12776, 12131, 14, 20828, 258, 14, 411, 11813, 78, 5333, 14, 40789, 14, 3605, 23860, 14, 39513, 286, 39872, 3801, 14, 390, 603, 368, 452, 665, 3418, 668, 4669, 267, 3462, 14, 4356, 1872, 1903, 282, 1052, 441, 387, 314, 23, 18, 26, 11, 813, 23, 21, 15, 495, 26, 24, 18, 390, 3256, 3408, 407, 22785, 20537, 14, 3567, 16, 387, 665, 671, 286, 360, 650, 321, 9729, 282, 1336, 368, 16, 0, 34599, 6104, 8857, 324, 254, 1362, 16, 1997, 607, 18, 35382, 14, 353, 3809, 668, 576, 18, 18, 4525, 282, 7858, 282, 1594, 286, 1663, 282, 248, 3408, 16, 1997, 495, 18, 35382, 14, 353, 476, 1354, 668, 374, 18, 18, 4525, 282, 7858, 286, 3408, 16, 2028, 6104, 276, 5374, 9067, 390, 8534, 14, 353, 2156, 311, 10187, 282, 915, 576, 18, 18, 4525, 16, 401, 33143, 22395, 476, 5757, 282, 374, 18, 18, 4525, 16, 30990, 1051, 286, 4306, 15353, 16, 1286, 368, 403, 417, 2056, 668, 254, 4047, 14, 889, 254, 576, 1250, 3954, 16, 9720, 272, 1740, 387, 254, 4873, 274, 633, 7899, 314, 5912, 3095, 282, 321, 16939, 14, 747, 272, 10192, 855, 390, 5837, 4552, 481, 8022, 282, 1694, 7602, 314, 530, 15, 530, 15, 23773, 14, 763, 15, 530, 2945, 14, 3838, 481, 1286, 368, 1477, 254, 1740, 1063, 368, 3316, 633, 576, 1359, 14, 368, 774, 321, 6104, 282, 3684, 324, 254, 2435, 16, 826, 3954, 311, 669, 1157, 324, 17492, 633, 2286, 6104, 16, 4886, 457, 86, 4306, 7728, 683, 633, 1450, 22142, 15353, 1545, 16, 0, 1516, 25433, 30308, 254, 529, 16, 53, 16, 6053, 4500, 274, 500, 1366, 73, 691, 71, 2067, 631, 1422, 322, 432, 374, 18, 19, 21, 282, 374, 18, 19, 25, 16, 380, 631, 1422, 322, 6949, 5781, 4500, 6053, 668, 338, 16, 24, 24, 2945, 890, 4000, 2153, 276, 254, 1928, 2016, 276, 374, 18, 19, 25, 16, 188, 1253, 3395, 274, 16727, 403, 368, 2692, 282, 1316, 387, 5058, 4813, 33, 188, 7176, 274, 254, 1527, 631, 1422, 2175, 17236, 513, 368 ]
[ 1, 6684, 8438, 9839, 3483, 14, 1773, 1827, 15, 3354, 14986, 14, 38932, 286, 310, 6492, 3277, 1339, 321, 2818, 16, 188, 686, 254, 1068, 274, 9994, 597, 3532, 6319, 14, 254, 7787, 4947, 254, 10954, 274, 6813, 6684, 2815, 282, 11582, 2116, 2269, 14, 1773, 286, 6752, 1827, 15, 3354, 14986, 29, 6684, 7317, 343, 38932, 286, 642, 6752, 30772, 7269, 16, 188, 686, 254, 1068, 274, 23585, 254, 785, 14, 254, 7787, 4947, 2107, 6684, 2815, 282, 11384, 274, 254, 3184, 1423, 14, 254, 2269, 6555, 14, 254, 5787, 286, 254, 9115, 16, 0, 9, 21744, 9145, 9, 16094, 1860, 330, 4123, 28, 684, 37, 12824, 24728, 7666, 9, 35417, 5564, 1349, 347, 21072, 2867, 24465, 4, 188, 9, 30883, 11583, 18320, 3814, 9, 18072, 495, 28, 1638, 380, 740, 552, 434, 27384, 496, 1501, 4294, 33, 188, 13441, 11988, 1270, 374, 18, 19, 25, 5423, 85, 14, 28574, 28, 7999, 23912, 6971, 20050, 12293, 640, 33, 188, 46181, 655, 3484, 1860, 3511, 16149, 2640, 443, 12897, 338, 18, 26, 18, 23215, 29, 1638, 25168, 22629, 1180, 330, 1148, 20, 19421, 33, 188, 9, 17716, 274, 595, 21648, 9, 18072, 813, 2038, 24898, 398, 28, 41588, 16767, 312, 1404, 331, 7143, 15, 25485, 1442, 87, 443, 1604, 1834, 7231, 22937, 3, 188, 9, 3912, 367, 3101, 2984, 9, 18072, 374, 28, 323, 1886, 2813, 434, 15143, 906, 32233, 33, 188, 9087, 58, 338, 18, 26, 18, 15541, 8217, 28, 380, 20101, 383, 23923, 496, 380, 28666, 33, 188, 53, 1293, 1891, 20345, 330, 25, 374, 18, 19, 25, 8217, 28, 1638, 826, 25508, 330, 1427, 19084, 420, 22656, 33, 188, 4, 6426, 471, 328, 30763, 9, 18072, 374, 6145, 1223, 5696, 23500, 28, 22937, 11072, 380, 1427, 18072, 1223, 34539, 30763, 31878, 3151, 3, 188, 9, 30883, 11583, 18320, 3814, 9, 18072, 495, 6145, 286, 16768, 28, 740, 552, 434, 5696, 4066, 13921, 331, 1352, 16882, 33, 188, 9, 510, 16579, 85, 274, 17296, 9, 6145, 1223, 19421, 10151, 28, 1638, 380, 7034, 32247, 1860, 309, 466, 496, 684, 17716, 274, 595, 21648, 9, 18072, 813, 33, 188, 17162, 43737, 374, 4488, 2514, 24436, 607, 28, 6578, 25508, 14087, 2253, 5243, 9942, 33, 188, 9, 48, 275, 13954, 1572, 5111, 39641, 9, 32363, 607, 18, 18, 33979, 640, 1223, 6145, 28, 1638, 826, 380, 7859, 4539, 25531, 13954, 33, 188, 9, 12103, 268, 38151, 26141, 9, 26669, 45124, 319, 28, 7200, 731, 2253, 380, 9315, 15976, 10567, 26669, 18358, 33, 188, 53, 1293, 1891, 20345, 5671, 848, 33979, 640, 286, 6145, 28, 5431, 8686, 1008, 5696, 4066, 25508, 33, 0, 2943, 618, 6656, 403, 6522, 6639, 3708, 1444, 14, 596, 5909, 742, 1205, 9150, 615, 10548, 3709, 33958, 16, 826, 1026, 596, 476, 1115, 14, 1269, 1851, 282, 2120, 248, 28803, 1444, 3622, 16, 2666, 1612, 5435, 278, 2177, 742, 276, 248, 28803, 324, 248, 7871, 1250, 286, 4395, 7435, 597, 3837, 5252, 276, 327, 5942, 5288, 3, 1838, 841, 2731, 1034, 286, 2019, 324, 688, 2169, 274, 8033, 494, 20961, 265, 28803, 14, 310, 4285, 327, 310, 650, 811, 1041, 580, 324, 775, 16, 188, 1516, 2133, 369, 2155, 10849, 14, 3364, 14, 286, 310, 6522, 353, 276, 248, 2630, 4813, 16, 3845, 14, 310, 2350, 282, 618, 7383, 4513, 14, 17159, 14, 282, 1074, 248, 28803, 327, 4793, 618, 5435, 434, 3616, 16, 188, 1982, 368, 1441, 2731, 282, 1041, 436, 2133, 14, 368, 1782, 872, 248, 11287, 28803, 16, 26359, 369, 254, 10849, 81, 17159, 6949, 14, 324, 756, 719, 16, 18, 18, 16, 1395, 774, 872, 763, 39604, 7100, 328, 254, 4747, 274, 254, 1401, 16, 826, 369, 1143, 324, 248, 374, 15, 21, 54, 16, 188, 510, 6522, 7435, 403, 387, 254, 1708, 274, 436, 5246, 16, 826, 311, 841, 254, 801, 2541, 16, 380, 1250, 2541, 650, 321, 282, 1002, 597, 254, 763, 15652, 274, 28803, 14, 407, 11601, 254, 628, 274, 254, 28803, 276, 254, 4853, 274, 254, 5246, 16, 188, 2515, 14, 310, 2828, 254, 28803, 597, 282, 775, 14, 432, 8970, 282, 22733, 14, 286, 5828, 254, 2884, 327, 310, 650, 872, 16, 310, 7207, 597, 13492, 254, 6522, 7435, 286, 9703, 2734, 254, 4617, 274, 254, 28803, 16, 380, 1628, 687, 369, 811, 2151, 324, 248, 20961, 16, 188, 43, 900, 618, 5952, 434, 20961, 265, 28803, 282, 1041, 248, 3003, 324, 254, 20961, 16, 826, 1479, 274, 20961, 19354, 328, 1755, 683, 1093, 343, 811, 6936, 286, 641, 2824, 16, 188, 5905, 463, 254, 2824, 4873, 274, 254, 20961, 16, 188, 21836, 353, 758, 286, 1708, 2302, 349, 16, 188, 33304, 977, 6936, 2292, 14, 26594, 597, 1708, 9052, 286, 18266, 16, 188, 5905, 463, 390, 28644, 2292, 16, 11430, 977, 15, 2123, 15, 483, 16, 188, 27523, 248, 18490, 713, 254, 1708, 2824, 274, 254, 28803, 16, 7008, 759, 254, 4873, 14, 7765, 758, 14, 286, 1708, 2302, 349, 16, 188, 3992, 368, 1782, 452, 248, 20961, 14, 286, 28803, 2824, 286, 888, 16, 188, 33304, 20961, 276, 254, 1708, 3925, 274, 254, 888, 628, 274, 254, 28803, 14, 2049, 254, 9060, 4873, 16, 310, 1649, 248, 2246, 256, 276, 254, 4617, 274, 254, 20961, 593, 327, 254, 5742, 3432, 625, 593, 1887, 327, 1612, 13204, 1503, 15373, 939, 16, 33871, 17, 340, 89, 2292, 16, 188, 33304, 254, 2824, 286, 888, 28803, 14, 977, 6936, 2292, 14, 706, 28644, 2292, 14, 40979, 687, 254, 28686, 7825, 16, 188, 3992, 368, 1441, 6522, 3, 310, 2790, 46622, 282, 254, 1004, 1874, 274, 254, 28803, 593, 327, 353, 650, 3191, 4438, 603, 345, 2980, 353, 282, 16, 0, 46, 16264, 6519, 8318, 286, 19836, 254, 1116, 4795, 413, 16, 188, 2300, 374, 26, 3793, 14, 248, 802, 286, 248, 1362, 1063, 254, 5427, 311, 1899, 282, 3437, 254, 7997, 14, 380, 378, 2297, 266, 5734, 369, 9458, 407, 2436, 4270, 5153, 286, 42370, 6519, 8318, 16, 380, 3326, 555, 643, 328, 436, 5156, 9394, 3970, 14, 8069, 387, 1495, 2288, 28, 254, 5987, 360, 587, 3957, 2966, 16, 188, 46, 16264, 6519, 8318, 311, 815, 15, 7382, 14, 343, 17124, 472, 12477, 786, 14, 274, 23594, 22137, 28, 5879, 2009, 3186 ]
[ 1, 3026, 343, 801, 15, 4287, 8946, 14, 254, 36337, 33102, 14074, 2147, 1407, 3124, 11839, 5961, 272, 17103, 6191, 14, 248, 5588, 6191, 286, 248, 617, 9560, 16, 34331, 36693, 5461, 20611, 311, 1637, 683, 248, 338, 18, 15, 15075, 4306, 1919, 14, 286, 254, 2779, 3290, 1903, 11775, 16, 3157, 6478, 274, 254, 36337, 33102, 14074, 2147, 1407, 3124, 11839, 476, 10087, 526, 343, 248, 295, 7388, 1238, 834, 1914, 390, 29781, 387, 254, 37570, 286, 44014, 8906, 16, 10243, 42078, 587, 11129, 254, 3184, 286, 2413, 274, 37940, 5740, 16, 1676, 717, 1036, 8946, 387, 254, 8388, 2408, 248, 10481, 46627, 286, 29781, 3134, 16, 5830, 1733, 2244, 387, 254, 36337, 33102, 14074, 2147, 1407, 3124, 11839, 5961, 46370, 18953, 15, 15287, 276, 1596, 282, 248, 6333, 15, 14003, 5415, 14, 10573, 1209, 14691, 7909, 286, 248, 2057, 8352, 16, 5650, 311, 13128, 343, 46370, 20839, 2177, 14, 248, 4561, 5909, 255, 286, 10062, 286, 8350, 2328, 8946, 16, 330, 28738, 286, 248, 12594, 2453, 403, 669, 2449, 276, 1004, 2244, 16, 2640, 248, 5278, 274, 10240, 11546, 14, 5464, 286, 6515, 16637, 14, 254, 36337, 33102, 14074, 2147, 1407, 3124, 11839, 66, 85, 328, 15, 10968, 10032, 5961, 248, 5081, 274, 16832, 16491, 324, 12603, 282, 3300, 16, 380, 963, 15, 2571, 6218, 286, 8823, 91, 10032, 10743, 5130, 286, 46267, 8291, 262, 1083, 16, 18569, 2497, 311, 2066, 374, 22, 2942, 248, 1362, 16, 399, 40329, 5461, 17806, 314, 38, 8351, 11, 311, 758, 248, 495, 18, 15, 15075, 4306, 432, 254, 36337, 33102, 14074, 2147, 1407, 3124, 11839, 16, 731, 3809, 1637, 683, 374, 18, 2819, 282, 4306, 282, 13384, 43991, 21317, 14, 380, 10746, 274, 12919, 3847, 286, 26076, 602, 20002, 16, 188, 10891, 380, 3779, 33102, 14074, 399, 40329, 311, 248, 4785, 286, 19029, 8388, 17352, 248, 2094, 4306, 432, 14255, 15685, 16, 8513, 2959, 403, 2257, 26124, 286, 8349, 2218, 311, 2449, 1903, 274, 4045, 16, 380, 3779, 33102, 14074, 399, 40329, 5961, 1125, 8946, 1648, 248, 374, 22, 4813, 15669, 14, 248, 8265, 286, 248, 10032, 9169, 5461, 14, 1922, 286, 32665, 16637, 16, 1180, 248, 3684, 286, 3324, 1391, 12668, 286, 15575, 2705, 14, 12603, 476, 5485, 432, 254, 3779, 33102, 14074, 399, 40329, 66, 85, 3764, 2374, 15, 250, 9259, 16, 24643, 20321, 476, 5485, 432, 254, 2066, 8349, 4458, 282, 3191, 276, 2960, 343, 3732, 1285, 615, 7213, 16, 380, 35640, 9692, 387, 254, 3779, 33102, 14074, 399, 40329, 3831, 248, 4561, 5909, 255, 14, 248, 2958, 14911, 286, 10573, 1209, 14691, 7909, 16, 5650, 555, 37940, 819, 348, 272, 6689, 14, 248, 28738, 286, 248, 12594, 2453, 16, 380, 3779, 33102, 14074, 399, 40329, 66, 85, 2453, 3290, 248, 31031, 4610, 324, 272, 7046, 5324, 16, 18569, 2497, 311, 669, 2066, 387, 2110, 2008, 16, 399, 40329, 5461, 17806, 314, 38, 8351, 11, 311, 758, 248, 374, 18, 15, 15075, 4306, 432, 254, 3779, 33102, 14074, 399, 40329, 16, 380, 13384, 43991, 21317, 14, 13223, 4451, 29965, 19596, 286, 26076, 602, 20002, 403, 374, 18, 2819, 1919, 407, 1096, 16, 188, 10891, 2640, 695, 4829, 11174, 14, 254, 3779, 33102, 378, 483, 2200, 14074, 22713, 932, 5961, 1903, 35057, 8349, 16, 731, 5961, 24219, 27579, 343, 13128, 8352, 85, 286, 36746, 42447, 16, 330, 5081, 274, 3258, 1659, 3134, 403, 2066, 324, 12603, 274, 254, 3779, 33102, 378, 483, 2200, 14074, 22713, 932, 14, 819, 348, 374, 22, 2942, 2244, 2497, 14, 248, 6849, 1297, 463, 286, 248, 1096, 18716, 8373, 16, 5541, 291, 422, 286, 5537, 4602, 403, 2066, 374, 22, 2942, 248, 1362, 16, 13732, 9962, 2488, 37940, 2408, 248, 4848, 14, 248, 8265, 286, 248, 5909, 12136, 2497, 16, 1822, 254, 27579, 387, 254, 3779, 33102, 378, 483, 2200, 14074, 22713, 932, 2408, 248, 6333, 15, 14003, 5415, 14, 10573, 1209, 14691, 7909, 286, 248, 8352, 5304, 16, 5650, 5961, 248, 4561, 5909, 255, 14, 248, 12594, 2453, 286, 10062, 286, 8350, 2328, 8946, 16, 399, 40329, 5461, 17806, 314, 38, 8351, 11, 311, 758, 248, 374, 18, 15, 15075, 4306, 432, 254, 3779, 33102, 378, 483, 2200, 14074, 22713, 932, 16, 3157, 6478, 476, 4010, 14255, 15685, 14, 4301, 248, 2094, 4306, 1919, 432, 254, 3779, 33102, 378, 483, 2200, 14074, 22713, 932, 16, 0, 9606, 4524, 7827, 407, 47433, 2707, 4210, 6492, 1374, 3844, 1923, 258, 19114, 14, 27579, 286, 8841, 324, 8617, 14, 286, 9648, 324, 7096, 343, 330, 9651, 48, 16, 679, 16, 1286, 368, 403, 248, 4524, 3442, 390, 1963, 2731, 324, 7827, 407, 47433, 2707, 4210, 6492, 1374, 3844, 1923, 258, 19114, 14, 4301, 276, 46371, 46, 2554, 1374, 14, 19114, 14, 368, 1797, 1663, 282, 254, 977, 1619, 3, 188, 21511, 368, 1441, 367, 5013, 273, 14, 444, 6718, 273, 14, 390, 811, 872, 248, 743, 1619, 282, 3051, 14, 368, 1782, 1074, 254, 977, 3686, 2245, 1285, 633, 671, 387, 47433, 2707, 4210, 6492, 1374, 3844, 1923, 258, 19114, 343, 330, 9651, 48, 16, 679, 434, 1581, 274, 3015, 48105, 14, 328, 15, 4643, 286, 742, 15, 4643, 7827, 14, 2244, 13508, 31782, 14, 286, 324, 15, 37521, 1491, 8085, 31782, 16, 12748, 2966, 282, 3034, 633, 3083, 3, 0, 43, 1328, 2732, 282, 3510, 272, 2809, 327, 476, 1323, 688, 8675, 5077, 939, 40094, 16, 380, 10104, 8303, 22029, 422, 37332, 17, 3413, 42, 5362, 2893, 811, 3901, 16, 3826, 310, 1328, 669, 2732, 282, 3510, 1432, 5062, 532, 452, 641, 22090, 843, 282, 2660, 436, 324, 40094, 16, 8229, 476, 1862, 248, 11886, 33, 0, 25, 1676, 3619, 282, 4675, 18720, 7554, 24991, 315, 8341, 1014, 15178, 428, 20752, 8933, 274, 7956, 7554, 14, 3567, 16, 188, 21904, 311, 1045, 14, 286, 30610, 2858, 311, 977, 328, 254, 16427, 16, 21300, 942, 587, 321, 561, 626, 2424, 81, 273, 615, 27143, 15178, 286, 2876, 353, 4558, 324, 254, 3837, 5603, 2524, 6214, 16, 188, 2515, 1012, 311, 254, 671, 282, 1623, 1862, 7554, 15, 19199, 27143, 15178, 688, 3960, 1815, 16, 731, 774, 1606, 282, 1354, 248, 1612, 624, 3324, 683, 254, 27143, 15178, 368, 457, 307, 8010, 900, 282, 2430, 14, 532, 353, 2427, 457, 86 ]
[ 1, 885, 719, 26, 25, 15858, 367, 8991, 252, 27774, 655, 374, 18, 2407, 17, 20, 24, 4, 8928, 469, 3035, 314, 27491, 31022, 826, 5490, 311, 12890, 3132, 343, 6343, 282, 254, 757, 24898, 12869, 533, 5429, 282, 338, 22, 495, 17, 26, 4, 418, 2707, 16, 2010, 2044, 11145, 343, 5172, 2099, 13084, 286, 22664, 15006, 5372, 343, 2140, 250, 8195, 16, 826, 5490, 555, 254, 12890, 35510, 1068, 343, 2982, 43462, 16605, 16, 46498, 1580, 4440, 4501, 1612, 889, 16, 0, 15253, 6000, 807, 915, 615, 20686, 1649, 561, 274, 2072, 603, 596, 1038, 457, 86, 6384, 387, 1824, 248, 607, 18, 2476, 13814, 16, 906, 620, 1309, 254, 2843, 555, 624, 282, 513, 343, 8446, 683, 1157, 2142, 16, 731, 311, 20686, 14, 624, 2156, 683, 417, 14, 327, 3217, 8088, 274, 942, 282, 254, 2341, 26384, 282, 17719, 1385, 748, 596, 1852, 2978, 1321, 3526, 16, 1223, 353, 434, 10540, 14, 624, 2156, 683, 417, 14, 663, 751, 7869, 18341, 932, 16, 3826, 14, 248, 17955, 24030, 5837, 650, 2353, 387, 1824, 2630, 274, 254, 942, 2367, 276, 248, 3816, 6432, 407, 248, 7869, 2602, 321, 7869, 2672, 16, 2633, 16, 7296, 1795, 518, 252, 274, 21250, 18889, 442, 25372, 4618, 14, 769, 3912, 1408, 807, 1703, 282, 1901, 3460, 7803, 14, 286, 959, 14, 310, 1038, 457, 86, 1141, 327, 457, 85, 977, 1397, 31632, 336, 1219, 7005, 14, 248, 14214, 19049, 324, 254, 7554, 2341, 8667, 7358, 14, 769, 1212, 513, 417, 513, 436, 2545, 282, 2411, 6611, 390, 8307, 16, 839, 513, 436, 974, 360, 2780, 276, 254, 785, 1397, 3006, 2818, 276, 254, 607, 18, 2476, 13814, 8065, 403, 1321, 5098, 10724, 16, 5105, 5098, 20686, 403, 624, 2692, 282, 321, 43511, 276, 615, 3452, 18341, 932, 16, 7554, 10017, 6928, 3792, 7960, 16926, 2948, 7658, 7127, 641, 48100, 670, 360, 2464, 603, 254, 5837, 369, 7869, 20853, 273, 16, 2948, 7658, 749, 14, 769, 1516, 311, 7754, 3452, 16, 826, 311, 668, 28564, 248, 4179, 16, 839, 452, 643, 22360, 3812, 16, 839, 3856, 597, 16, 839, 3856, 561, 1397, 7644, 27912, 14, 2101, 14, 2225, 353, 457, 85, 811, 1157, 1321, 3526, 16, 2028, 1795, 518, 252, 369, 2464, 603, 520, 6678, 369, 282, 769, 68, 461, 20686, 7324, 345, 10690, 14, 769, 1368, 865, 596, 749, 327, 328, 254, 3867, 5100, 1364, 802, 16, 1223, 959, 14, 436, 311, 668, 21433, 14, 14088, 286, 29886, 1397, 380, 10560, 311, 3159, 282, 2508, 254, 3867, 2318, 276, 254, 13728, 6692, 16, 7644, 2764, 276, 254, 8677, 311, 8539, 16, 188, 35, 3694, 687, 1321, 7969, 5145, 20686, 311, 38868, 276, 254, 22180, 16, 22243, 972, 403, 1071, 11411, 248, 5837, 596, 1309, 311, 10911, 387, 7869, 15, 68, 461, 273, 14, 1205, 254, 2475, 457, 85, 27912, 3790, 353, 457, 85, 5326, 282, 5256, 20686, 403, 2430, 615, 7180, 16, 380, 10149, 2225, 603, 10890, 683, 2630, 274, 13044, 2672, 2014, 1321, 7969, 7869, 278, 945, 327, 7869, 807, 321, 6548, 282, 757, 793, 1392, 343, 254, 1350, 390, 2417, 10036, 695, 6134, 512, 2292, 16, 2633, 16, 7296, 1795, 518, 252, 14, 416, 15, 12144, 5153, 14, 2225, 520, 5837, 311, 282, 1041, 2056, 20686, 403, 1129, 27476, 282, 615, 2672, 16, 769, 43, 811, 1038, 457, 86, 1141, 353, 457, 85, 977, 324, 248, 1330, 2476, 14, 248, 1603, 2476, 274, 6851, 274, 248, 7869, 282, 1703, 282, 1901, 890, 25, 2476, 928, 345, 2225, 16, 5105, 7969, 20686, 650, 452, 282, 2408, 254, 1162, 274, 6000, 13044, 324, 6598, 286, 254, 1162, 274, 1093, 663, 403, 6432, 15, 15185, 9787, 286, 1303, 15, 11753, 273, 14, 276, 615, 7760, 4861, 16, 8498, 72, 8309, 14, 1533, 10202, 286, 10342, 268, 20686, 403, 13578, 14, 533, 16661, 1309, 807, 8260, 20686, 1385, 1004, 642, 16, 380, 2475, 555, 12535, 16028, 254, 3867, 14, 532, 555, 4104, 276, 254, 8677, 276, 1090, 2391, 16, 7554, 457, 85, 1321, 7969, 20686, 403, 783, 14268, 254, 2475, 16, 2633, 16, 9825, 3392, 578, 34175, 14, 399, 15, 36, 14394, 416, 12720, 14, 2225, 345, 21308, 254, 2475, 282, 8903, 1836, 348, 353, 555, 276, 1090, 2391, 16, 769, 2976, 310, 452, 282, 1309, 282, 254, 1837, 20475, 1770, 286, 2185, 663, 5499, 282, 254, 20686, 16, 7925, 310, 650, 417, 4563, 16, 310, 650, 417, 4563, 670, 436, 5837, 11676, 436, 9106, 2778, 43, 650, 417, 4563, 670, 353, 11676, 254, 2342, 16, 826, 555, 248, 1034, 1026, 282, 563, 16, 11648, 254, 22180, 286, 8903, 282, 254, 7623, 1397, 1795, 518, 252, 457, 85, 5837, 4279, 1321, 20686, 282, 2408, 254, 1162, 274, 278, 945, 9787, 286, 1303, 15, 562, 266, 9787, 2672, 276, 615, 7760, 4861, 14, 2049, 343, 843, 1125, 942, 403, 13044, 324, 6598, 16, 1286, 254, 1162, 274, 1303, 15, 562, 266, 9787, 2672, 311, 2622, 13347, 2476, 14, 254, 7869, 650, 452, 282, 295, 15, 14590, 1392, 343, 254, 1350, 390, 2417, 1129, 17703, 16, 188, 30892, 267, 10560, 327, 807, 16356, 4646, 254, 16729, 274, 7869, 1013, 10670, 276, 7554, 4667, 248, 2165, 1350, 3867, 9106, 7738, 16, 380, 6101, 1365, 1020, 254, 1026, 324, 248, 5100, 6101, 670, 254, 374, 18, 19, 26, 13728, 6692, 9263, 1689, 1722, 16, 380, 2475, 311, 1129, 3684, 15, 13341, 265, 407, 3867, 6851, 16, 3774, 944, 14463, 1339, 1477, 2623, 28100, 1063, 7353, 13044, 324, 5100, 12652, 14, 25519, 374, 23, 555, 643, 7713, 282, 811, 580, 5212, 28, 254, 7102, 16027, 1402, 6852, 16, 380, 9106, 434, 338, 22, 15, 27, 6101, 3444, 254, 5837, 434, 7724, 1321, 4703, 16, 380, 10560, 650, 7086, 254, 1350, 434, 3621, 282, 39129, 1922, 9475, 20686, 327, 6296, 625, 6527, 597, 387, 1824, 607, 18, 2476, 274, 1922, 10670, 348, 2672, 16, 5853, 8719, 20609, 248, 7869, 9828, 625, 321, 4003, 282, 1901, 254, 6112, 274, 5789, 15, 395, 15, 3039, 10670, 603, 248, 4869, 274, 254, 9475, 2974, 2427, 625, 5499, 282, 254, 7869, 16, 2640, 1125, 1922, 20686, 4250, 11423, 282, 2445, 327, 7680, 14, 6582, 274, 10670, 807, 321, 1628, 1269, 7869, 6598, 16, 839, 2051, 273, 254 ]
[ 1, 19770, 6086, 1129, 669, 6789, 6086, 14, 6231, 457, 86, 360, 2102, 1129, 278, 438, 4710, 33, 188, 27275, 3221, 6086, 311, 669, 1427, 10244, 457, 85, 6086, 14, 532, 360, 933, 751, 1495, 12957, 324, 19770, 6086, 16, 188, 686, 1972, 9679, 3931, 835, 14, 603, 1427, 10244, 457, 85, 6086, 14, 19770, 6086, 706, 6789, 6086, 497, 282, 512, 2871, 328, 470, 19, 17, 18, 19, 14, 835, 360, 933, 452, 495, 20322, 22469, 328, 254, 338, 297, 14, 374, 2046, 706, 495, 5619, 274, 4109, 16, 1223, 624, 603, 248, 2057, 8621, 311, 3103, 3, 188, 43, 915, 2631, 44341, 668, 748, 2378, 1362, 24333, 3809, 1619, 1444, 6789, 6086, 16, 1678, 883, 457, 79, 7506, 262, 386, 274, 254, 1887, 1767, 274, 14658, 432, 748, 369, 248, 1034, 8621, 14, 282, 748, 457, 85, 1012, 29709, 276, 688, 13852, 348, 2049, 6134, 12846, 1362, 16, 188, 1435, 457, 85, 452, 254, 24333, 14, 1315, 457, 85, 452, 248, 8566, 2987, 8652, 14, 348, 360, 457, 251, 2430, 276, 254, 3514, 274, 436, 16452, 16, 188, 15179, 3089, 441, 888, 282, 327, 8892, 14, 14059, 2114, 274, 254, 338, 27, 24, 18, 85, 29, 4175, 3894, 687, 85, 14, 286, 39407, 273, 5856, 10504, 324, 636, 77, 6419, 16, 188, 1853, 324, 6789, 6086, 14, 324, 479, 1033, 802, 14, 353, 369, 248, 7025, 1321, 12957, 16, 25836, 276, 14, 4392, 561, 274, 3598, 387, 338, 18, 313, 14, 1577, 328, 254, 3886, 286, 3575, 254, 5883, 11618, 78, 1863, 374, 2534, 16, 731, 369, 13546, 328, 248, 7161, 324, 248, 9599, 1944, 7779, 16, 188, 5705, 2996, 4285, 353, 9828, 457, 86, 7723, 321, 248, 7025, 14, 533, 3652, 254, 14116, 274, 353, 1129, 5883, 11618, 78, 7025, 282, 580, 276, 4941, 16, 3826, 254, 15382, 9590, 276, 3840, 452, 1649, 353, 888, 580, 2065, 14, 593, 626, 457, 85, 641, 4688, 274, 248, 1321, 12957, 16, 1286, 360, 961, 282, 3575, 254, 30696, 362, 32436, 3051, 328, 7025, 14, 360, 457, 619, 452, 282, 1354, 248, 8113, 91, 16, 1268, 1002, 327, 457, 85, 624, 9679, 683, 6789, 6086, 16, 188, 1982, 4109, 374, 24, 2427, 457, 86, 4408, 14, 835, 811, 2536, 665, 1362, 561, 274, 248, 7650, 14, 286, 1052, 327, 6789, 6086, 16, 310, 457, 79, 2056, 642, 4203, 513, 327, 16, 2003, 457, 85, 748, 360, 513, 324, 254, 11313, 457, 85, 13957, 16, 0, 4177, 303, 1348, 362, 5687, 16, 9473, 362, 2185, 16, 31891, 362, 7795, 1086, 16, 23162, 362, 783, 1208, 16, 188, 2943, 6221, 6374, 432, 6010, 387, 338, 26, 282, 1354, 597, 616, 22668, 348, 11313, 14, 248, 977, 1668, 16807, 48088, 278, 542, 3866, 945, 16, 3928, 2630, 15, 40337, 5330, 311, 5139, 1480, 13488, 668, 254, 1683, 4066, 11313, 348, 345, 555, 643, 10092, 254, 685, 493, 276, 616, 5759, 16, 188, 1843, 835, 626, 457, 85, 616, 18779, 14, 11443, 1668, 30342, 16, 8229, 311, 756, 254, 11313, 274, 5687, 16, 1223, 6221, 1856, 457, 86, 3408, 4093, 14249, 328, 668, 843, 701, 16051, 786, 701, 555, 624, 977, 282, 254, 22668, 1051, 6248, 14, 1129, 248, 18935, 286, 512, 327, 16, 188, 13966, 1706, 560, 13895, 869, 1129, 747, 494, 286, 12064, 494, 276, 436, 16533, 16, 30342, 311, 1129, 8649, 7602, 10010, 14, 1851, 9353, 343, 2714, 779, 269, 994, 457, 286, 758, 3360, 432, 248, 1278, 15, 2711, 274, 1770, 16, 1469, 28879, 282, 16651, 14, 4563, 273, 327, 248, 5769, 587, 1354, 1575, 1919, 432, 616, 16, 6221, 25718, 311, 480, 10108, 18934, 282, 751, 6841, 286, 4565, 272, 32710, 14, 580, 327, 587, 3954, 1081, 4203, 16, 1469, 1480, 311, 11874, 254, 3195, 274, 248, 9723, 2711, 274, 5374, 15, 21449, 4935, 40282, 16, 6499, 274, 729, 343, 11269, 263, 527, 28566, 16, 45962, 14, 670, 6221, 1042, 16651, 324, 2314, 353, 4424, 34500, 84, 3955, 3320, 14, 532, 701, 1042, 751, 12469, 286, 14, 38915, 282, 440, 1392, 254, 942, 701, 8775, 5803, 276, 7150, 343, 14, 701, 4314, 254, 1401, 841, 616, 2630, 15, 40337, 286, 40328, 18779, 30342, 282, 321, 254, 1401, 457, 85, 6935, 13499, 16, 380, 763, 1706, 560, 2101, 14, 663, 1503, 452, 643, 17256, 286, 3732, 276, 248, 17266, 1499, 14, 1074, 3622, 14152, 1211, 387, 13282, 16, 1223, 254, 2560, 9349, 3637, 7435, 276, 624, 683, 11995, 16, 188, 686, 8395, 2902, 45511, 274, 1575, 1503, 387, 801, 1606, 13709, 322, 7926, 22453, 14, 2486, 353, 4378, 10047, 248, 2560, 10838, 274, 3360, 286, 2977, 16, 1547, 1309, 327, 1575, 17213, 85, 14, 286, 360, 476, 915, 436, 276, 254, 1464, 274, 254, 34196, 4237, 40367, 16, 444, 14615, 597, 407, 4986, 268, 3955, 687, 254, 4489, 2784, 4966, 14, 345, 1042, 520, 1245, 15, 14066, 282, 3677, 2005, 561, 254, 360, 71, 10581, 15, 3323, 3940, 16, 2552, 14, 580, 1362, 14, 348, 40367, 311, 328, 248, 7498, 527, 1409, 282, 751, 254, 2784, 636, 14, 345, 40622, 713, 248, 15542, 282, 1354, 248, 13352, 16, 8229, 933, 321, 16716, 276, 254, 13486, 3108, 248, 5398, 33, 6107, 16, 9963, 4966, 16, 314, 19, 20019, 374, 22, 11, 1223, 663, 933, 11308, 254, 36524, 282, 18933, 742, 520, 8819, 1205, 345, 311, 45634, 7140, 33, 6107, 16, 9963, 4966, 16, 2028, 40367, 311, 4574, 5182, 276, 6503, 14, 2499, 683, 10727, 248, 480, 305, 286, 7325, 26861, 343, 254, 3547, 14, 4966, 8375, 3997, 282, 1920, 6920, 16, 3006, 282, 321, 19154, 13274, 668, 254, 2393, 274, 254, 6776, 314, 20, 20019, 338, 362, 338, 27, 15, 20, 18, 481, 2028, 345, 3285, 6776, 2900, 4966, 1143, 6160, 286, 3607, 6698, 23769, 274, 520, 1193, 16, 1268, 345, 1628, 520, 1430, 9338, 276, 3899, 324, 441, 276, 254, 4358, 360, 1052, 10093, 26567, 607, 19, 16, 839, 403, 14258, 407, 254, 23271, 1873, 348, 5018, 282, 12175, 324, 1093, 276, 1575, 14, 286, 4855, 14, 513, 596, 872, 353, 16, 314, 19, 31706, 374, 362, 338, 15, 20, 11, 6030, 46274, 407, 688, 663, 1034, 282, 1423, 1789, 14, 286, 2489, 663, 961, 282, 3217, 729, 1051, 14, 353, 457, 85, 272 ]
[ 1, 5998, 5520, 6652, 311, 1851, 2996, 663, 587, 513, 748, 311, 276, 633, 1640, 1564, 16, 188, 9928, 10291, 19043, 7068, 476, 321, 14459, 407, 2731, 387, 748, 3849, 282, 272, 5109, 16, 10078, 3860, 452, 248, 3469, 1865, 324, 15468, 368, 33, 10078, 596, 20214, 665, 274, 633, 3453, 670, 11871, 390, 838, 1728, 368, 33, 12013, 254, 4513, 15523, 276, 665, 29378, 8112, 14, 1648, 26909, 33, 1993, 3607, 19921, 476, 14943, 43651, 324, 248, 13695, 14, 4355, 310, 476, 1336, 618, 8325, 751, 615, 7068, 8013, 4196, 16, 188, 3294, 254, 1057, 671, 14, 1125, 2153, 452, 282, 321, 30590, 324, 248, 12329, 26914, 390, 1002, 2584, 282, 2260, 16, 1260, 272, 7212, 6252, 5520, 2260, 6652, 14, 310, 715, 1582, 8958, 282, 3217, 618, 1068, 1063, 248, 4833, 16, 310, 669, 865, 327, 324, 801, 15, 2523, 390, 1656, 15, 15821, 32576, 14, 5630, 38256, 5495, 774, 3831, 729, 254, 1640, 4954, 282, 2055, 2391, 272, 6932, 4400, 16, 310, 587, 785, 343, 368, 1849, 286, 10510, 353, 5215, 368, 14, 254, 13695, 1480, 1849, 282, 3217, 633, 1068, 282, 248, 2675, 6282, 276, 348, 1612, 671, 348, 1841, 16, 188, 3912, 30719, 639, 9615, 3006, 11903, 1860, 7859, 496, 330, 41129, 2396, 16, 21685, 2666, 37076, 3826, 16, 188, 1934, 2247, 633, 390, 633, 7434, 580, 434, 439, 4348, 12201, 7068, 14, 2960, 479, 14, 6797, 28961, 399, 24573, 14, 324, 248, 641, 15, 6669, 4341, 20549, 16, 23173, 272, 4436, 390, 1052, 719, 19, 26, 15, 23, 18, 27, 15, 27, 25, 20, 22, 16, 0, 1853, 254, 8238, 1897, 5381, 14, 248, 5840, 4833, 2260, 311, 272, 5630, 11704, 15, 20431, 4817, 276, 533, 4532, 25897, 615, 1068, 1063, 248, 1491, 4833, 14, 533, 6374, 272, 26834, 11524, 16, 13168, 406, 682, 1309, 254, 26834, 11524, 476, 1336, 7415, 1826, 282, 15907, 390, 3906, 282, 1278, 16, 188, 4387, 254, 495, 23, 23, 15563, 663, 10690, 14, 848, 25, 2476, 749, 596, 1038, 457, 86, 889, 5840, 4833, 7386, 16, 9403, 254, 813, 25, 15563, 663, 1628, 5536, 14, 944, 749, 327, 42266, 272, 26834, 4833, 3809, 5146, 1919, 432, 642, 1726, 33220, 7995, 14, 2328, 353, 272, 30206, 889, 274, 671, 324, 40382, 1086, 14, 15567, 286, 1278, 11258, 19038, 16, 188, 8439, 15563, 749, 596, 452, 3477, 282, 2120, 5840, 4833, 7386, 532, 6296, 457, 86, 573, 665, 7319, 20768, 254, 4532, 282, 9811, 16, 21964, 254, 4532, 497, 30979, 343, 254, 4333, 390, 497, 26168, 282, 5041, 14, 580, 5794, 749, 16, 188, 1130, 4476, 2692, 327, 1125, 4532, 403, 10638, 26927, 3238, 274, 1278, 16, 2514, 5794, 343, 374, 25, 1090, 274, 2705, 5234, 1851, 4634, 432, 4703, 607, 18, 7386, 590, 802, 282, 4175, 16, 188, 6426, 13561, 11308, 5840, 4833, 7386, 276, 3594, 274, 5732, 4833, 7386, 16, 188, 44, 1588, 7386, 276, 3587, 7371, 2153, 476, 321, 1637, 683, 580, 1362, 14, 593, 254, 1278, 555, 641, 888, 2720, 274, 2153, 286, 14, 3004, 14, 641, 1865, 282, 1577, 282, 248, 5840, 4833, 2260, 16, 188, 10072, 4928, 2153, 15907, 963, 1063, 2260, 14, 2692, 1899, 282, 254, 13859, 274, 4928, 15131, 276, 2025, 16, 188, 31227, 305, 1086, 663, 9811, 276, 254, 1213, 513, 593, 756, 387, 254, 28975, 274, 4916, 16, 6499, 587, 417, 2903, 665, 898, 2094, 274, 248, 2057, 4833, 2260, 14, 286, 1002, 835, 596, 4408, 254, 4833, 457, 85, 2964, 16, 188, 18016, 4833, 7386, 756, 785, 670, 368, 452, 15656, 328, 1081, 6936, 663, 4377, 1004, 642, 286, 403, 46377, 16, 188, 19226, 254, 1330, 14735, 274, 15563, 663, 749, 596, 513, 889, 5840, 4833, 7386, 14, 2006, 452, 643, 17339, 343, 254, 1508, 16, 188, 47238, 6635, 2048, 6616, 14450, 67, 20752, 7575, 2448, 248, 1068, 7465, 7962, 9520, 407, 248, 1362, 15, 6495, 3925, 687, 18230, 19844, 16, 380, 756, 5615, 11704, 3103, 254, 2332, 274, 8317, 16, 7614, 274, 19836, 254, 24863, 663, 573, 643, 32892, 324, 254, 2260, 14, 248, 4957, 497, 900, 282, 2120, 248, 5840, 4833, 2260, 16, 380, 1515, 497, 23341, 713, 642, 12130, 16, 188, 12, 5650, 1722, 254, 6640, 16076, 272, 24226, 14, 1303, 15, 45563, 580, 15, 19180, 6453, 282, 695, 624, 683, 338, 20, 14, 18, 18, 18, 12043, 20144, 276, 254, 1928, 2016, 286, 16714, 16, 380, 1508, 14, 17393, 276, 254, 11052, 37, 457, 85, 31478, 23342, 300, 15, 1775, 1160, 351, 14, 403, 417, 5864, 282, 321, 7733, 348, 37191, 2479, 4202, 16, 0, 510, 331, 4470, 283, 274, 1572, 15601, 311, 254, 7126, 274, 1575, 274, 254, 545, 14954, 1393, 4533, 1873, 756, 348, 254, 12339, 274, 418, 583, 16, 1691, 8468, 3108, 695, 33106, 274, 13486, 311, 1873, 756, 407, 616, 7779, 256, 474, 17883, 16, 188, 510, 331, 4470, 283, 274, 1572, 15601, 311, 248, 1361, 40392, 252, 276, 27287, 25084, 16, 731, 434, 628, 274, 254, 1572, 15601, 274, 254, 21474, 40392, 252, 3465, 399, 7778, 14, 2049, 343, 17746, 958, 274, 354, 10816, 256, 329, 16, 380, 12676, 476, 321, 1102, 2734, 11389, 23315, 19596, 14, 30302, 274, 24195, 4798, 16, 188, 26210, 40392, 252, 5085, 403, 443, 1685, 13063, 14, 10259, 274, 3086, 544, 6893, 14, 286, 37892, 320, 21595, 16, 188, 37, 4470, 283, 274, 1572, 15601, 45746, 28, 314, 14276, 1209, 1395, 1649, 272, 980, 282, 254, 10050, 28612, 4211, 276, 254, 331, 4470, 283, 274, 1572, 15601, 16, 188, 17560, 77, 286, 27287, 28, 21040, 248, 27287, 7330, 6725, 248, 8093, 743, 1361, 274, 17595, 958, 16, 188, 50, 2915, 28, 331, 4470, 283, 274, 1572, 15601, 28, 1270, 307, 368, 403, 7573, 906, 1442, 15770, 407, 22267, 254, 331, 4470, 283, 274, 1572, 15601, 16, 188, 36174, 302, 45470, 14, 254, 12339, 274, 418, 583, 14, 248, 10581, 11507, 275, 18887, 11746, 265, 376, 663, 10743, 3086, 544, 6893, 16, 188, 23, 4806, 28, 2028, 368, 20049, 248, 11146, 2232, 14, 368, 452, 248, 338, 18, 7, 4688, 282, 3966, 729, 11126, 5471, 4779, 324, 719, 7061, 14, 8270, 4577, 432, 2104, 7890, 407, 374, 23, 7536, 188, 23, 4806, 28, 2028, 633, 356, 19862, 14140, 18774, 14 ]
[ 1, 14, 368, 774, 669, 961, 282, 1852, 9150, 24468, 624, 18415, 282, 3400, 1444, 314, 264, 1002, 248, 4523, 274, 5167, 45455, 481, 1180, 1093, 7028, 328, 15594, 1152, 276, 14, 9150, 2718, 311, 254, 23947, 1026, 282, 6179, 5690, 16, 1260, 324, 254, 1515, 274, 942, 663, 403, 13109, 2151, 282, 7829, 532, 44297, 11870, 2151, 327, 368, 476, 625, 7415, 748, 282, 8033, 14, 2718, 311, 254, 3055, 383, 1026, 282, 997, 448, 281, 286, 7928, 913, 4558, 16, 21660, 1015, 37379, 286, 36826, 282, 915, 748, 368, 1663, 597, 343, 3, 188, 25, 11, 5669, 40, 1787, 17237, 3, 826, 311, 254, 671, 282, 452, 327, 310, 15, 9641, 625, 15, 29979, 15, 67, 15, 69, 1714, 11720, 16, 1260, 1034, 348, 368, 8033, 633, 26245, 343, 15125, 14, 663, 311, 327, 3677, 18305, 3122, 282, 1309, 327, 353, 434, 18950, 33, 1286, 368, 3367, 6973, 14, 14799, 353, 3, 8198, 9819, 286, 4564, 633, 13204, 888, 3, 1180, 784, 254, 7650, 398, 286, 1626, 77, 276, 633, 1193, 3616, 16, 29616, 254, 2705, 286, 3408, 42179, 1061, 687, 1826, 633, 12333, 403, 1480, 1364, 2858, 16, 188, 10072, 15108, 14, 452, 248, 1247, 671, 3, 18333, 742, 276, 254, 5536, 2622, 668, 633, 10041, 20317, 26483, 3, 0, 10, 35, 11, 19923, 274, 248, 3587, 11379, 5697, 14, 348, 327, 1283, 311, 2840, 276, 10102, 338, 25, 26, 21, 16, 274, 254, 48226, 6135, 14, 403, 13930, 282, 321, 276, 254, 8189, 274, 254, 5697, 603, 9339, 3134, 324, 861, 329, 3221, 324, 254, 5697, 16, 188, 10, 36, 11, 39204, 663, 403, 3587, 10200, 276, 248, 3587, 11379, 10106, 282, 10102, 338, 25, 26, 20, 16, 274, 254, 48226, 6135, 2992, 321, 2696, 276, 254, 8189, 274, 254, 3587, 11379, 282, 254, 5900, 327, 861, 329, 3221, 276, 248, 825, 642, 683, 3768, 274, 15807, 311, 2865, 407, 819, 3587, 10200, 324, 3134, 2600, 324, 254, 3587, 11379, 16, 188, 10, 19, 11, 380, 3442, 274, 248, 1956, 15, 13968, 3587, 9520, 2485, 327, 555, 417, 10268, 282, 321, 3994, 348, 248, 13366, 2992, 321, 3994, 348, 248, 7724, 39854, 264, 16, 9241, 2600, 324, 254, 3587, 9520, 2485, 407, 1963, 2672, 274, 254, 7724, 39854, 264, 2992, 417, 12300, 5937, 8189, 343, 254, 3587, 9520, 2485, 603, 819, 1963, 2672, 2445, 254, 5925, 274, 8790, 314, 36, 2682, 21, 2682, 72, 11, 274, 2511, 576, 19, 22, 19, 16, 18, 19, 274, 254, 48226, 6135, 16, 188, 10, 20, 11, 380, 3442, 274, 248, 1956, 15, 13968, 3587, 9520, 2485, 327, 555, 10268, 282, 321, 3994, 348, 248, 13366, 2992, 321, 2696, 282, 321, 276, 5937, 8189, 343, 254, 3587, 9520, 2485, 603, 254, 3442, 14093, 861, 329, 3221, 324, 3134, 13326, 282, 254, 3587, 9520, 2485, 390, 28468, 3134, 276, 29433, 274, 6700, 861, 329, 3221, 432, 254, 3587, 9520, 2485, 16, 188, 10, 21, 11, 1286, 254, 3442, 274, 248, 1956, 15, 13968, 3587, 9520, 2485, 311, 248, 13366, 14, 248, 10188, 5741, 274, 327, 13366, 2992, 321, 2696, 282, 321, 276, 5937, 8189, 343, 254, 3587, 9520, 2485, 603, 254, 5741, 14093, 861, 329, 3221, 324, 3134, 13326, 282, 254, 3587, 9520, 2485, 14, 390, 28468, 3134, 282, 254, 3587, 9520, 2485, 276, 29433, 274, 6700, 861, 329, 3221, 16, 188, 10, 19, 11, 1286, 512, 274, 254, 2672, 274, 248, 4331, 15, 13968, 3587, 9520, 2485, 327, 555, 417, 10268, 282, 321, 3994, 348, 248, 13366, 403, 4153, 14, 254, 2672, 2992, 321, 3994, 348, 10200, 16, 9241, 2600, 407, 248, 1963, 3442, 274, 665, 1999, 3442, 274, 254, 3587, 9520, 2485, 2992, 417, 12300, 5937, 8189, 343, 254, 3587, 9520, 2485, 603, 254, 2860, 274, 1004, 1999, 3442, 274, 254, 3587, 9520, 2485, 282, 254, 1963, 3442, 15930, 254, 5925, 274, 8790, 314, 36, 2682, 21, 2682, 72, 11, 274, 2511, 576, 19, 22, 19, 16, 18, 19, 274, 254, 48226, 6135, 16, 188, 10, 20, 11, 1286, 254, 2672, 274, 248, 4331, 15, 13968, 3587, 9520, 2485, 327, 555, 10268, 282, 321, 3994, 348, 248, 13366, 403, 763, 390, 624, 4153, 14, 596, 2992, 321, 2696, 282, 321, 276, 5937, 8189, 343, 254, 3587, 9520, 2485, 603, 596, 4615, 861, 329, 3221, 324, 3134, 13326, 282, 254, 3587, 9520, 2485, 14, 390, 8376, 3134, 282, 254, 3587, 9520, 2485, 276, 29433, 274, 6700, 861, 329, 3221, 16, 188, 10, 21, 11, 1286, 254, 2672, 274, 248, 4331, 15, 13968, 3587, 9520, 2485, 403, 18138, 14, 248, 10188, 5741, 274, 665, 274, 1093, 18138, 2992, 321, 2696, 282, 321, 276, 5937, 8189, 343, 254, 3587, 9520, 2485, 603, 254, 5741, 14093, 861, 329, 3221, 324, 3134, 13326, 282, 254, 3587, 9520, 2485, 14, 390, 28468, 3134, 282, 254, 3587, 9520, 2485, 276, 29433, 274, 6700, 861, 329, 3221, 16, 0, 15988, 2126, 11017, 682, 8138, 23367, 624, 683, 254, 580, 15, 20566, 14, 385, 15, 1481, 91, 289, 3811, 663, 448, 9719, 616, 8659, 387, 616, 1926, 8745, 3260, 16, 2028, 12746, 25480, 248, 2628, 5362, 387, 254, 980, 274, 254, 1362, 14, 248, 783, 38742, 29374, 729, 2292, 14, 286, 254, 9034, 42182, 6564, 652, 7759, 10439, 869, 729, 3082, 16, 8138, 23367, 3432, 457, 86, 2056, 748, 701, 5441, 282, 1862, 775, 1111, 67, 5158, 274, 616, 2482, 390, 512, 274, 616, 2710, 16, 0, 3916, 368, 872, 282, 5416, 633, 1683, 3684, 276, 35580, 9960, 14, 15001, 343, 641, 36745, 862, 390, 7914, 33, 188, 1630, 8073, 18150, 8762, 398, 16, 679, 14194, 311, 254, 6081, 2896, 274, 1491, 8085, 9804, 663, 7274, 8841, 3684, 16, 839, 4540, 368, 343, 1922, 1683, 21570, 276, 35580, 9960, 14, 15001, 663, 961, 282, 7274, 633, 1683, 3684, 16, 3699, 34412, 276, 35580, 9960, 14, 15001, 403, 1922, 282, 633, 2104, 286, 12101, 368, 476, 1359, 328, 16, 1997, 39311, 18150, 8762, 398, 16, 679, 14194, 2705, 14, 12618, 286, 32536, 403, 628, 274, 1033, 3831, 16, 3699, 1800, 19, 4590, 311, 282, 1336, 368, 5416, 633, 35580, 9960, 14, 15001, 1683, 3684, 3, 188, 1982, 368, 650, 747, 282, 4615, 248, 3684, 14, 18441, 14, 641, 15, 704, 3263, 319, 3831 ]
[ 1, 273, 512, 3462, 276, 248, 1830, 32496, 286, 960, 327, 282, 4306, 254, 2586, 16, 188, 25672, 315, 1470, 12764, 713, 10118, 285, 87, 2304, 248, 7096, 311, 3316, 16, 188, 10703, 248, 28575, 19684, 830, 596, 476, 14015, 7172, 286, 2023, 12200, 1460, 16, 188, 38957, 366, 25520, 274, 6211, 1707, 328, 3462, 9461, 16, 188, 3243, 16969, 2591, 3310, 9302, 343, 254, 2586, 16, 188, 50, 16, 53, 16, 1286, 368, 403, 276, 6789, 2731, 324, 688, 5167, 32474, 14, 2374, 561, 772, 2586, 16, 188, 1516, 5690, 369, 9024, 276, 906, 69, 982, 264, 1013, 286, 30343, 8760, 1466, 328, 4423, 576, 14, 374, 18, 19, 19, 407, 37506, 399, 10338, 16, 0, 23292, 841, 1240, 23092, 327, 5095, 2363, 311, 254, 1956, 944, 6250, 4817, 14654, 452, 324, 6104, 16816, 14, 12866, 14, 17539, 14, 286, 1508, 16, 1268, 944, 14654, 1872, 747, 596, 811, 1038, 625, 452, 671, 324, 624, 11891, 16, 826, 1926, 5961, 248, 1755, 1026, 28, 10596, 14, 2094, 15629, 343, 6000, 668, 615, 5095, 7148, 327, 476, 321, 8304, 21899, 12744, 713, 254, 2539, 2211, 274, 2072, 16, 188, 4, 3294, 1364, 14, 248, 3448, 15, 252, 1926, 327, 434, 6873, 14, 8319, 14, 286, 8055, 16, 17307, 5887, 327, 942, 1041, 512, 254, 2967, 29, 436, 1926, 587, 9537, 368, 843, 282, 1041, 248, 2967, 343, 633, 942, 449, 188, 4, 1793, 14144, 14, 2508, 14, 12140, 286, 47374, 16, 21040, 380, 79, 45835, 2636, 2075, 360, 476, 457, 86, 2241, 668, 7969, 12866, 1269, 15531, 5095, 2363, 16, 1223, 353, 29622, 561, 843, 6851, 476, 452, 327, 7621, 449, 188, 4, 36, 1155, 286, 30211, 452, 3443, 248, 14822, 286, 4311, 2811, 282, 12464, 2363, 28, 9027, 254, 25940, 276, 4045, 274, 615, 1193, 3017, 16, 826, 1926, 587, 1336, 368, 2706, 254, 2169, 274, 4326, 324, 5095, 31789, 327, 20534, 9094, 449, 188, 4, 1516, 311, 272, 8418, 1926, 16, 496, 512, 618, 1090, 21196, 22563, 328, 5095, 2363, 14, 436, 311, 254, 1640, 286, 944, 10800, 7538, 2066, 16, 731, 434, 272, 3364, 1218, 327, 3809, 254, 2488, 2443, 274, 5095, 2363, 286, 7863, 7585, 353, 343, 1491, 14, 2181, 15, 20455, 11861, 14, 5493, 286, 15596, 16, 731, 434, 9415, 4479, 324, 743, 41466, 14, 8251, 22563, 286, 10446, 12101, 387, 665, 1245, 14, 276, 665, 4351, 449, 0, 35780, 46280, 808, 428, 731, 434, 417, 668, 441, 14, 532, 748, 2572, 476, 513, 939, 441, 16, 188, 1304, 1208, 4243, 457, 85, 743, 1926, 14, 22876, 46280, 808, 428, 731, 434, 3006, 11072, 8574, 14, 1268, 1691, 2572, 2532, 3063, 11648, 8574, 896, 4666, 19, 26, 16, 27, 27, 14, 2838, 2071, 14, 890, 25, 26, 19, 22, 27, 26, 22, 23, 25, 22, 25, 25, 29, 370, 27, 16, 27, 27, 14, 300, 15, 3199, 14, 890, 25, 26, 19, 22, 27, 26, 22, 23, 25, 22, 26, 22, 11, 311, 272, 28795, 1972, 2835, 274, 3409, 286, 4419, 33276, 276, 254, 21958, 274, 1464, 457, 85, 16136, 3284, 16, 731, 457, 85, 254, 9205, 274, 248, 2784, 10412, 663, 555, 643, 939, 1125, 2746, 7386, 14, 532, 2572, 3416, 1093, 36200, 9256, 713, 5230, 38997, 447, 16, 2572, 2607, 616, 254, 1026, 561, 274, 254, 3258, 5589, 701, 573, 1649, 5803, 276, 286, 1869, 616, 282, 1336, 2489, 561, 274, 615, 1193, 16, 11648, 512, 254, 2008, 274, 7051, 14, 22113, 14, 286, 2863, 14, 2572, 3854, 6158, 14, 5787, 14, 10725, 14, 12895, 14, 286, 8903, 33276, 282, 616, 2710, 286, 1464, 16, 826, 1926, 311, 248, 9845, 23609, 327, 2572, 555, 2936, 2035, 286, 2936, 1116, 328, 1004, 1408, 4619, 1033, 628, 274, 1464, 16, 188, 1304, 1208, 4243, 8375, 436, 24608, 2886, 2835, 593, 327, 3997, 476, 2033, 327, 641, 2563, 663, 368, 403, 14, 748, 368, 457, 307, 2152, 14, 390, 748, 368, 457, 307, 643, 939, 14, 2572, 476, 889, 254, 2835, 274, 633, 1464, 282, 3373, 2996, 1952, 457, 85, 1464, 16, 1469, 5441, 10390, 282, 865, 327, 688, 1789, 403, 4317, 615, 1423, 286, 3621, 282, 4842, 1091, 593, 580, 1339, 4377, 2572, 282, 1577, 254, 2835, 1444, 324, 2936, 18199, 16, 826, 1926, 311, 616, 12881, 1026, 282, 3858, 561, 282, 2489, 282, 1336, 16, 188, 58, 336, 252, 5523, 14, 248, 8790, 274, 43542, 10967, 5734, 14, 311, 254, 1499, 457, 85, 6081, 6244, 1827, 15, 29078, 6668, 14, 343, 624, 683, 338, 23, 14, 18, 18, 18, 14110, 3737, 282, 3407, 16, 44105, 398, 774, 1316, 22876, 46280, 808, 428, 731, 434, 3006, 11072, 8574, 14, 1268, 1691, 2572, 2532, 3063, 11648, 8574, 16, 939, 496, 1667, 7034, 6313, 286, 17, 264, 9772, 1732, 3289, 7034, 3535, 40836, 16, 380, 1926, 311, 2066, 3783, 939, 1246, 336, 252, 6913, 16, 679, 17, 3199, 11548, 14, 6814, 252, 16, 679, 14, 286, 22835, 266, 395, 30389, 283, 16, 679, 16, 0, 23426, 7137, 950, 286, 2142, 7137, 950, 14, 17551, 338, 1096, 256, 33491, 14, 20448, 14, 5172, 14, 27255, 328, 21989, 14, 338, 18, 18, 14, 18, 18, 18, 558, 7785, 498, 17358, 286, 17074, 3487, 286, 29772, 9397, 28138, 950, 16, 679, 378, 16787, 15779, 16, 188, 35, 14283, 15779, 274, 34699, 16, 378, 1958, 398, 403, 2347, 282, 321, 387, 1824, 338, 26, 1090, 1668, 286, 6894, 248, 3469, 254, 3124, 274, 3545, 6770, 1083, 14, 390, 407, 7529, 390, 4273, 276, 3203, 343, 254, 3545, 6770, 1083, 9397, 4347, 16, 188, 510, 9397, 4347, 556, 5843, 274, 1668, 3398, 8235, 286, 440, 13208, 14, 1571, 7843, 8235, 2969, 3783, 21989, 16, 330, 14283, 4653, 476, 321, 1102, 387, 254, 21989, 4244, 2586, 16, 188, 25298, 12777, 8979, 354, 2119, 85, 17, 19996, 37, 15779, 21993, 943, 16, 8498, 14901, 16764, 13468, 16, 14922, 27574, 1027, 9397, 18396, 950, 16, 8118, 16, 14922, 311, 1012, 21989, 265, 3783, 387, 8061, 16, 8897, 4321, 16, 679, 16, 188, 5910, 3398, 21989, 41686, 774, 2023, 248, 9394, 6813, 1581, 274, 748, 587, 321, 4075, 328, 248, 1748, 1362, 16, 10068, 2056, 368, 2033, 254, 4653, 286, 7067, 274, 254, 21989, 16, 188, 17560, 291, 330, 14283 ]
[ 1, 457, 85, 4566, 17863, 10247, 1305, 324, 254, 20676, 274, 26607, 416, 8, 38, 6319, 343, 254, 5192, 282, 5127, 13764, 2269, 4163, 9902, 286, 254, 5266, 274, 2072, 3017, 5535, 16, 188, 5652, 495, 21, 23, 14199, 6319, 286, 607, 22, 23, 354, 14112, 33099, 324, 14199, 6319, 16, 188, 2773, 1734, 273, 282, 254, 32915, 5670, 274, 254, 7173, 15392, 17000, 387, 5130, 286, 5060, 1245, 2969, 732, 15, 498, 47602, 15410, 16, 188, 15182, 258, 1302, 447, 555, 643, 3103, 276, 5130, 26607, 6319, 324, 495, 1090, 16, 380, 15410, 3591, 407, 7828, 258, 1302, 447, 343, 5475, 9695, 17, 7202, 17544, 311, 3657, 1726, 324, 41423, 695, 2472, 276, 254, 5060, 5670, 1213, 274, 323, 5134, 85, 314, 23000, 14, 5475, 30584, 286, 18357, 11, 533, 835, 5480, 282, 743, 2545, 8641, 14, 3017, 286, 1034, 15, 3818, 31261, 16, 188, 12530, 5592, 37, 7205, 428, 2939, 13252, 3649, 5026, 3124, 276, 254, 30879, 14166, 939, 10419, 273, 314, 18498, 11, 13327, 387, 10846, 254, 15392, 28118, 274, 8020, 276, 254, 30879, 2104, 14, 939, 254, 13330, 274, 15392, 35475, 11301, 7609, 14, 9094, 14, 2479, 286, 8150, 570, 14, 286, 1321, 8826, 14, 36274, 254, 19206, 3124, 4333, 16, 188, 15182, 258, 1302, 447, 311, 254, 6081, 4959, 31601, 324, 3511, 293, 46870, 276, 254, 1631, 274, 17856, 2269, 16, 1997, 3746, 1245, 14, 254, 31601, 311, 29034, 324, 695, 2107, 14625, 276, 1192, 788, 2269, 2632, 286, 4144, 1844, 276, 254, 1733, 4172, 18461, 274, 6873, 9599, 5322, 6524, 282, 695, 11186, 276, 254, 6104, 7126, 274, 254, 33070, 15047, 33918, 286, 254, 11379, 328, 6873, 40919, 274, 254, 323, 21, 50, 11353, 16, 188, 25155, 14, 7828, 258, 1302, 447, 555, 248, 4740, 2705, 276, 19338, 274, 11260, 5077, 314, 31768, 6319, 581, 29140, 274, 2133, 1508, 14, 5351, 14, 35034, 14, 13467, 11071, 9904, 286, 5192, 3532, 4566, 16, 0, 2370, 487, 646, 15, 31091, 313, 1884, 15, 15062, 3313, 286, 13422, 15546, 12334, 945, 403, 867, 282, 7815, 743, 18231, 14, 1834, 21554, 14, 387, 254, 980, 274, 374, 18, 19, 27, 387, 4117, 3313, 4549, 16, 188, 1630, 21554, 1091, 4756, 841, 695, 17804, 282, 254, 2586, 274, 254, 37536, 4633, 1834, 21554, 274, 338, 27, 18, 26, 1091, 587, 1215, 322, 2919, 254, 27774, 3595, 6930, 17512, 1884, 5626, 3532, 14, 248, 26841, 2522, 6140, 276, 338, 26, 27, 27, 286, 8697, 4131, 348, 272, 13597, 11061, 4516, 324, 254, 4549, 44942, 16, 188, 510, 21241, 3532, 14, 533, 37804, 39314, 348, 254, 5039, 1379, 32214, 276, 254, 338, 27, 26, 26, 2986, 8229, 1825, 3060, 18965, 40309, 33, 532, 624, 3970, 5444, 348, 248, 628, 274, 309, 4495, 457, 85, 5065, 3124, 1643, 4516, 14, 348, 248, 1643, 18914, 14, 587, 14663, 19784, 4674, 561, 407, 906, 487, 646, 15, 31091, 313, 1884, 15, 15062, 3313, 282, 3217, 353, 713, 1321, 889, 324, 254, 801, 671, 276, 695, 2803, 16, 188, 2370, 487, 646, 15, 31091, 313, 1884, 15, 15062, 3313, 286, 13422, 15546, 12334, 945, 14, 343, 1305, 432, 254, 4549, 43837, 274, 24641, 398, 26340, 286, 34436, 3836, 314, 33268, 21328, 581, 587, 22509, 1464, 888, 713, 254, 25986, 3532, 5983, 248, 6949, 15, 1775, 11768, 324, 4117, 4549, 16, 188, 1725, 6804, 407, 13422, 15546, 12334, 945, 1091, 7109, 17, 4262, 274, 4549, 457, 85, 20411, 40777, 17790, 4745, 4549, 14, 286, 628, 29192, 274, 15913, 286, 14209, 19049, 13422, 15546, 13919, 14, 1834, 21554, 311, 2179, 265, 282, 3064, 1017, 15, 14327, 3051, 3327, 3284, 14, 6949, 8227, 14, 1830, 35648, 14, 42959, 14, 26741, 14, 5557, 38246, 286, 3015, 3284, 16, 188, 18283, 912, 763, 22731, 14, 254, 495, 14, 19, 23, 26, 18317, 79, 3284, 286, 33317, 18231, 587, 3858, 248, 2194, 6134, 5192, 274, 495, 14, 18, 18, 18, 286, 587, 42472, 2623, 9692, 14, 20805, 286, 15569, 348, 963, 348, 248, 1162, 274, 5069, 494, 16566, 3551, 286, 328, 10968, 2653, 286, 16727, 23943, 14, 2328, 324, 248, 7573, 4311, 18231, 16, 731, 587, 1741, 387, 254, 2710, 274, 4117, 3313, 4549, 457, 85, 7943, 24, 18, 18, 79, 7270, 14, 286, 3517, 254, 8906, 457, 85, 338, 18, 394, 18505, 802, 14, 40256, 4117, 3313, 4549, 457, 85, 1844, 348, 254, 563, 15, 927, 11768, 324, 417, 756, 7928, 532, 2653, 14, 14209, 14, 3284, 286, 8227, 16, 188, 22714, 786, 909, 324, 254, 6949, 6315, 286, 2150, 274, 1834, 21554, 14, 13422, 15546, 12334, 945, 587, 669, 9929, 254, 18231, 1438, 3461, 16, 11655, 328, 432, 254, 33295, 274, 17790, 4745, 4549, 14, 533, 555, 11776, 11444, 905, 6854, 276, 811, 763, 1090, 1544, 5742, 695, 10723, 14, 3327, 286, 14209, 26436, 13422, 15546, 13919, 587, 13153, 254, 4869, 274, 254, 3327, 2868, 14, 8920, 248, 743, 1683, 282, 3112, 15, 21397, 2286, 7989, 4326, 276, 4549, 16, 188, 510, 743, 3327, 286, 3284, 2245, 587, 1336, 1949, 46467, 254, 4549, 43837, 274, 24641, 398, 26340, 286, 34436, 3836, 457, 85, 3051, 14209, 23064, 14, 2049, 343, 254, 13815, 7943, 26, 15026, 22075, 274, 5065, 3124, 830, 323, 47162, 3867, 311, 2124, 254, 5511, 1581, 274, 26402, 286, 8698, 17236, 5742, 615, 10723, 16, 188, 510, 15251, 555, 669, 643, 5723, 315, 2865, 407, 254, 5189, 457, 85, 12616, 331, 32927, 21462, 16497, 854, 663, 7020, 254, 743, 18231, 13466, 343, 254, 17786, 274, 4549, 457, 85, 7899, 324, 248, 30613, 2286, 15, 2523, 6795, 16, 188, 1516, 6151, 15251, 4797, 628, 274, 13422, 15546, 12334, 945, 457, 5535, 282, 3217, 248, 2787, 274, 11967, 743, 2288, 8247, 282, 254, 5427, 16, 1834, 21554, 587, 321, 254, 1250, 276, 248, 2868, 274, 743, 27947, 687, 254, 1689, 338, 20, 2524, 16, 188, 10013, 9263, 276, 4929, 14, 343, 1834, 21554, 867, 282, 7815, 387, 254, 980, 274, 374, 18, 19, 27, 16, 0, 44374, 36856, 330, 2280, 286, 7446, 5834, 16, 188, 6906, 42, 10463, 3290, 4703, 32991, 282, 254, 2560, 274, 2728, 286, 8476, 2104, 16, 839, 452, 387, 1824, 374, 1015, 4703, 8372, 39574, 11328, 327, 3709, 254, 2728, 286, 8476, 2104, 286, 512, 274, 772, 4703, 8372, 39574 ]
[ 1, 14, 42549, 286, 669, 27067, 403, 3713, 19774, 432, 633, 21934, 276, 8726, 343, 29081, 8681, 434, 29923, 41384, 1919, 11050, 7530, 314, 5844, 481, 188, 12254, 3015, 3944, 8549, 452, 12407, 624, 286, 624, 4489, 974, 254, 7609, 1354, 888, 615, 3551, 580, 38353, 387, 248, 671, 16, 496, 23913, 13352, 2877, 476, 321, 11834, 254, 1062, 1689, 1362, 16, 5243, 15393, 512, 4126, 2876, 3103, 276, 248, 12136, 1362, 327, 3672, 4987, 13352, 2877, 43754, 16, 16144, 5534, 21693, 747, 16601, 1919, 432, 254, 1874, 43723, 16222, 353, 37248, 343, 2657, 282, 21693, 2536, 15, 484, 286, 3915, 254, 25284, 43709, 16120, 3944, 407, 960, 248, 42718, 248, 338, 18, 42031, 399, 1717, 2877, 276, 11798, 5556, 14, 18640, 16, 2009, 2283, 248, 13352, 2877, 10047, 254, 3015, 343, 1004, 642, 286, 2739, 18003, 682, 6536, 43953, 4400, 286, 4214, 16, 36840, 311, 2041, 282, 4564, 1919, 254, 6536, 327, 555, 39425, 597, 1444, 615, 8841, 14, 9931, 14, 3838, 248, 1956, 4214, 14167, 286, 11834, 13352, 2877, 16, 1664, 311, 641, 872, 282, 7156, 254, 4806, 4250, 1129, 15005, 17402, 248, 13352, 2877, 10238, 21693, 8346, 286, 12136, 1362, 390, 4895, 2065, 14822, 324, 3997, 16, 16144, 254, 8927, 43953, 1903, 407, 1851, 248, 3015, 12136, 1362, 16, 380, 4987, 42718, 248, 338, 18, 42031, 399, 1717, 2877, 276, 11798, 5556, 14, 18640, 476, 1041, 633, 2133, 8778, 286, 5079, 29, 3997, 403, 1438, 282, 321, 5058, 282, 321, 3103, 16, 188, 2943, 368, 8617, 665, 13352, 2877, 997, 324, 580, 327, 434, 328, 25541, 282, 1041, 254, 2545, 1181, 6742, 2066, 324, 368, 286, 17, 264, 633, 2485, 14167, 282, 751, 254, 2545, 2152, 16, 188, 35, 2442, 274, 596, 1242, 2732, 282, 1074, 836, 13352, 2877, 43754, 14, 596, 872, 282, 2033, 254, 1479, 274, 8553, 596, 650, 8065, 324, 512, 615, 21693, 16, 826, 2034, 327, 596, 452, 282, 3533, 748, 7670, 276, 2349, 274, 4747, 14, 4720, 286, 2884, 596, 2353, 16, 380, 9836, 587, 321, 3303, 407, 254, 624, 11282, 30980, 596, 587, 1323, 348, 963, 348, 254, 9836, 274, 21934, 327, 587, 898, 432, 436, 2107, 16, 731, 587, 669, 321, 1707, 2154, 254, 2245, 328, 533, 254, 8553, 587, 321, 1649, 16, 380, 642, 1110, 596, 872, 282, 3533, 311, 254, 671, 276, 533, 596, 1782, 872, 836, 13352, 12935, 387, 615, 3487, 16, 188, 3269, 1633, 282, 254, 5900, 274, 2958, 2779, 254, 27979, 1628, 3108, 14, 368, 774, 452, 248, 7656, 12136, 5527, 1063, 368, 16, 12033, 390, 417, 368, 452, 248, 10132, 390, 811, 328, 633, 1193, 286, 272, 14190, 14, 5601, 3081, 254, 18716, 311, 248, 5527, 327, 476, 1354, 248, 4422, 274, 1842, 16, 1286, 368, 1797, 643, 23810, 286, 900, 248, 13352, 2877, 14, 368, 452, 1143, 436, 5527, 6742, 276, 4684, 16, 1395, 774, 1354, 2626, 561, 282, 254, 13352, 2877, 3082, 274, 42179, 1061, 668, 748, 311, 41144, 11146, 390, 774, 321, 25934, 324, 368, 282, 18927, 16, 399, 1717, 2877, 18716, 18138, 587, 2156, 1354, 1521, 274, 23006, 939, 4806, 1649, 276, 615, 13352, 12935, 282, 915, 748, 476, 2374, 561, 18927, 390, 4780, 321, 295, 3094, 286, 748, 476, 563, 282, 27609, 830, 1841, 11799, 16, 1664, 403, 14167, 254, 13352, 2877, 14, 368, 1782, 872, 282, 1354, 436, 15595, 4684, 282, 2330, 633, 4665, 2292, 343, 633, 1922, 21693, 2485, 16, 188, 10296, 3691, 1061, 248, 5348, 742, 324, 254, 21693, 22836, 328, 1922, 3015, 33423, 14, 368, 587, 3751, 248, 19555, 1903, 1922, 3015, 276, 641, 671, 16, 1822, 274, 254, 21693, 311, 1438, 282, 321, 37954, 7110, 286, 4214, 1628, 713, 254, 13352, 2877, 343, 561, 17395, 254, 7076, 276, 254, 2133, 16, 1011, 21550, 282, 274, 42718, 248, 338, 18, 42031, 399, 1717, 2877, 276, 11798, 5556, 18138, 311, 596, 321, 2056, 327, 254, 15005, 21693, 311, 295, 15, 12296, 265, 276, 254, 6752, 11146, 1308, 593, 14, 254, 14116, 274, 6752, 16942, 348, 628, 274, 633, 32412, 311, 1438, 282, 321, 1637, 286, 436, 587, 4646, 254, 2288, 274, 18716, 12192, 276, 633, 20872, 16, 188, 686, 944, 276, 254, 4902, 21934, 403, 4904, 561, 328, 1033, 2065, 3596, 286, 626, 434, 248, 11956, 274, 7362, 21934, 3238, 3780, 390, 2342, 18166, 16, 2640, 641, 4273, 747, 17058, 21999, 14, 3780, 8952, 390, 4895, 15803, 346, 32071, 1482, 85, 513, 417, 747, 282, 915, 254, 25595, 274, 21934, 276, 2969, 274, 615, 9648, 533, 476, 9760, 254, 4377, 11141, 1593, 274, 2485, 14, 39262, 390, 7827, 27579, 16, 1997, 436, 671, 626, 2144, 254, 872, 274, 248, 1162, 274, 42718, 248, 338, 18, 42031, 399, 1717, 2877, 276, 11798, 5556, 2497, 390, 4895, 21934, 10000, 533, 476, 1354, 1521, 274, 21934, 16, 399, 1717, 12935, 11834, 407, 836, 18716, 18138, 476, 321, 4694, 1575, 273, 254, 3532, 390, 4895, 9564, 2019, 432, 2836, 2228, 14, 368, 872, 282, 1354, 8738, 327, 353, 933, 321, 2066, 432, 1802, 593, 327, 836, 3395, 274, 18716, 4273, 476, 1354, 254, 21934, 286, 440, 15, 2711, 254, 13352, 12935, 16, 188, 43, 715, 417, 3853, 368, 961, 282, 20561, 561, 248, 19413, 282, 7688, 248, 21693, 42718, 248, 338, 18, 42031, 399, 1717, 2877, 276, 11798, 5556, 14, 17329, 3, 3730, 434, 248, 997, 387, 748, 368, 476, 513, 282, 7688, 248, 1157, 1294, 328, 633, 18716, 314, 14508, 1851, 282, 15373, 254, 13352, 2877, 32546, 272, 4325, 374, 18, 390, 593, 328, 254, 1874, 29867, 188, 24357, 14, 343, 248, 432, 248, 9884, 18876, 8346, 2497, 14, 368, 476, 1364, 532, 417, 1824, 1309, 6939, 391, 1958, 592, 282, 1033, 2379, 25595, 274, 21693, 276, 286, 1444, 633, 2779, 286, 1903, 597, 254, 23564, 286, 17103, 2104, 324, 248, 2560, 6949, 743, 867, 274, 5553, 2245, 286, 10123, 14603, 16, 380, 4869, 274, 25369, 7089, 273, 3134, 476, 5846, 2674, 3148, 432, 1683, 41216, 22836, 324, 368, 282, 16601, 22836, 14, 343, 254, 6343, 274, 29479, 7924, 14, 41529, 9286, 4605, 14, 286, 3615, 3462, 16, 1395, 476, 1002, 6894, 254, 13352, 2877, 8013, 742, 276, 633, 1683, 286, 2507, 254, 5374, 19688, 368, 282, 8903, 5166, 328, 254, 12209, 2042 ]
[ 1, 4087, 719, 14, 374, 18, 18, 26, 407, 254, 36822, 16, 0, 24811, 1350, 933, 3298, 561, 254, 889, 274, 20337, 21984, 324, 492, 87, 1086, 286, 1382, 40627, 14, 272, 35372, 3819, 327, 9804, 1309, 311, 624, 2692, 282, 1123, 20520, 899, 5588, 683, 3054, 615, 3753, 16, 188, 24811, 1350, 933, 980, 254, 889, 274, 20337, 21984, 324, 492, 87, 1086, 286, 1382, 40627, 14, 272, 35372, 3819, 254, 1350, 555, 17752, 328, 324, 1480, 1034, 16, 188, 6690, 2086, 452, 7527, 641, 6442, 16, 8873, 4890, 15563, 1311, 2131, 729, 282, 21984, 1317, 338, 14, 25, 26, 19, 2008, 276, 374, 18, 19, 24, 16, 188, 6004, 836, 3778, 913, 688, 39753, 7552, 670, 2352, 282, 254, 944, 3225, 4260, 931, 14, 596, 1311, 1754, 4890, 480, 5193, 5588, 324, 1303, 48049, 19059, 2019, 624, 2156, 683, 642, 2957, 16, 11072, 2630, 274, 2957, 1280, 596, 1582, 28990, 5588, 3569, 756, 19059, 403, 40979, 2079, 390, 3400, 1919, 16, 188, 39120, 17530, 15, 6137, 546, 9804, 5041, 327, 15508, 836, 5588, 276, 21984, 1317, 476, 1123, 20520, 899, 729, 286, 2759, 729, 282, 765, 561, 624, 3082, 274, 1637, 16, 7859, 273, 254, 889, 274, 21984, 276, 836, 2153, 311, 1157, 3526, 254, 22180, 933, 19082, 16, 188, 35, 10149, 432, 1350, 4529, 16, 4447, 41525, 10837, 569, 3874, 14, 399, 15, 54, 318, 3568, 14, 650, 513, 811, 327, 16, 8677, 7439, 607, 23, 27, 24, 650, 3298, 561, 254, 889, 274, 21984, 276, 492, 87, 4167, 2153, 407, 4029, 374, 18, 19, 27, 14, 1205, 42173, 21984, 274, 1382, 40627, 407, 4029, 374, 18, 20, 18, 16, 188, 1516, 40144, 27570, 650, 1862, 254, 22180, 671, 282, 867, 597, 5630, 21264, 3537, 324, 5588, 663, 1382, 1919, 432, 1683, 1849, 248, 9308, 5158, 274, 254, 24520, 327, 23073, 476, 457, 86, 11504, 16, 19027, 872, 642, 4902, 282, 4856, 248, 1401, 276, 8662, 15829, 248, 886, 390, 888, 282, 254, 9931, 16, 188, 686, 254, 2391, 14, 436, 311, 830, 254, 1350, 555, 4104, 282, 7065, 16, 2028, 35835, 4667, 254, 2253, 17915, 7439, 276, 338, 27, 27, 23, 14, 596, 13556, 254, 1533, 650, 1336, 4540, 25613, 45188, 343, 1181, 15, 33222, 3134, 16, 380, 2843, 369, 327, 15563, 650, 889, 21984, 756, 348, 248, 1364, 17431, 14, 390, 276, 7323, 2153, 670, 596, 20842, 324, 248, 1401, 457, 85, 5098, 16, 188, 1931, 23073, 452, 13179, 2094, 276, 2602, 23862, 597, 343, 2501, 324, 11881, 16, 21326, 1125, 274, 254, 1350, 457, 85, 495, 27, 21154, 1311, 3367, 19927, 276, 8662, 15803, 11799, 14, 5630, 17316, 8946, 327, 403, 46580, 2502, 2876, 1382, 40627, 254, 1336, 286, 25003, 596, 872, 16, 188, 510, 1350, 555, 2152, 248, 1157, 2545, 276, 3225, 1090, 20760, 5588, 663, 16574, 2079, 1919, 432, 254, 1278, 975, 14, 7004, 407, 15679, 11881, 819, 348, 3015, 492, 87, 4167, 15979, 16, 1547, 872, 282, 1916, 2154, 1093, 5861, 1205, 17246, 1382, 40627, 286, 615, 5703, 751, 2013, 1305, 3134, 16, 188, 2686, 2034, 41423, 8141, 324, 1885, 15, 3066, 7916, 819, 348, 5011, 1963, 4767, 1849, 272, 7076, 327, 2893, 532, 327, 417, 512, 21154, 476, 2023, 977, 1012, 16, 188, 1934, 3298, 561, 1303, 48049, 8690, 21984, 407, 254, 48113, 276, 10837, 569, 3874, 457, 85, 5837, 14, 23073, 476, 457, 86, 3236, 16, 1547, 1339, 1074, 688, 2501, 436, 802, 282, 1674, 276, 836, 5503, 3134, 16, 330, 1157, 1242, 650, 321, 282, 1477, 1495, 274, 10837, 569, 3874, 457, 85, 18062, 14, 8677, 7439, 719, 22, 24, 25, 14, 533, 650, 818, 7688, 8662, 15803, 3925, 19927, 276, 1241, 274, 254, 21154, 327, 28990, 254, 944, 1303, 48049, 5588, 16, 2003, 5837, 650, 2042, 254, 1350, 1637, 683, 370, 20, 2945, 248, 802, 14, 248, 19163, 10761, 2332, 276, 254, 3514, 274, 254, 1350, 457, 85, 370, 22, 21, 16, 25, 15, 45231, 1745, 37491, 7363, 16, 188, 23661, 15683, 933, 1041, 248, 11527, 2966, 282, 3408, 12552, 273, 5588, 3569, 756, 11808, 403, 40979, 2079, 390, 3400, 1919, 16, 188, 3602, 835, 1339, 946, 939, 343, 5146, 282, 5256, 836, 2086, 4574, 751, 254, 1305, 596, 872, 16, 0, 35809, 3618, 16054, 1572, 12985, 15, 19, 3847, 10938, 21793, 14359, 496, 23355, 11558, 588, 496, 6364, 26703, 9222, 22373, 496, 4002, 16, 188, 40, 6641, 494, 378, 21464, 1572, 12985, 15, 19, 3847, 10938, 21793, 14359, 496, 23355, 11558, 588, 496, 6364, 24242, 9222, 22373, 496, 4002, 16, 188, 40, 6641, 494, 378, 21464, 1572, 12985, 15, 20, 3847, 10938, 21793, 14359, 496, 23355, 11558, 588, 496, 6364, 4270, 9222, 22373, 496, 4002, 16, 188, 35809, 3618, 14354, 466, 1572, 12985, 15, 21, 3847, 10938, 2009, 1208, 496, 23355, 11558, 588, 496, 6364, 5065, 9222, 22373, 496, 22451, 16, 188, 35809, 3618, 712, 19801, 1572, 12985, 15, 19, 3847, 10938, 2009, 1208, 23355, 11558, 588, 496, 6364, 26703, 9222, 22373, 496, 22451, 16, 188, 35809, 3618, 712, 19801, 1572, 12985, 15, 20, 3847, 10938, 2009, 1208, 496, 23355, 11558, 588, 496, 6364, 5403, 5065, 9222, 22373, 496, 22451, 16, 0, 19011, 5667, 441, 597, 328, 748, 368, 452, 643, 2430, 3970, 16, 188, 6957, 328, 254, 6237, 2622, 282, 7325, 561, 633, 43766, 1280, 5690, 314, 10117, 3258, 14115, 11, 286, 360, 587, 2408, 353, 276, 248, 43766, 1280, 16, 380, 43766, 1280, 587, 321, 9055, 13398, 348, 5958, 403, 2865, 15, 5370, 328, 254, 9607, 6702, 2951, 2622, 16, 188, 6957, 328, 254, 6237, 2622, 282, 915, 633, 7512, 3225, 3680, 85, 9, 5958, 16, 1395, 933, 452, 2865, 254, 9607, 3661, 29, 2228, 603, 368, 872, 254, 9607, 959, 14, 4356, 4436, 8464, 34, 46000, 7630, 517, 319, 16, 2000, 16, 0, 50, 11236, 1392, 633, 9837, 1362, 286, 2286, 343, 836, 3396, 6567, 286, 2666, 16461, 37384, 85, 3, 34594, 85, 2154, 8088, 282, 5053, 432, 276, 1125, 1015, 8815, 14, 1648, 347, 11478, 2450, 706, 26489, 37384, 85, 3333, 28528, 946, 254, 2951, 14211, 328, 254, 1628, 1874, 274, 1033, 3135, 390, 254, 48098, 6951, 4708, 328, 254, 977, 1874, 274, 436, 3135, 282, 1074, 811, 254, 977, 20870, 706, 11679, 12454, 324, 368 ]
[ 1, 7204, 19966, 274, 8118, 3059, 374, 18, 18, 23, 286, 9887, 274, 2218, 282, 1460, 765, 14, 374, 18, 19, 25, 16, 1547, 497, 2117, 327, 1868, 286, 1460, 4783, 276, 2142, 19454, 311, 14807, 274, 1321, 16, 5105, 6166, 811, 1920, 436, 1460, 348, 37994, 2380, 16, 188, 3294, 254, 980, 274, 254, 21890, 14, 367, 14567, 9274, 4078, 29452, 4487, 1260, 5093, 13963, 17821, 254, 4863, 282, 889, 254, 8988, 43, 1533, 324, 16580, 931, 432, 1015, 4822, 16, 750, 14258, 729, 282, 889, 3783, 7077, 2983, 282, 9747, 1460, 286, 17246, 946, 15, 8549, 274, 615, 6109, 16, 188, 510, 4863, 497, 669, 1635, 20960, 328, 11905, 274, 3609, 16, 188, 30687, 14, 331, 5254, 43, 286, 367, 14567, 2828, 248, 2243, 7847, 276, 436, 2657, 387, 12258, 22957, 5523, 9333, 314, 45, 4926, 481, 188, 45744, 4487, 1260, 5093, 13963, 9274, 4078, 367, 14567, 749, 626, 933, 321, 272, 11570, 2024, 324, 18144, 282, 889, 8988, 43, 276, 248, 1432, 4980, 348, 276, 436, 5698, 2289, 254, 6905, 274, 8988, 43, 311, 272, 1726, 4817, 324, 18144, 16, 188, 1304, 749, 276, 2391, 353, 369, 2746, 282, 751, 1002, 1321, 1460, 14, 532, 360, 1012, 452, 272, 1460, 30626, 14, 343, 5534, 13733, 274, 1460, 2066, 248, 5370, 1919, 16, 188, 1304, 749, 8988, 43, 311, 248, 1157, 1026, 282, 751, 10227, 1460, 324, 3547, 6109, 16, 0, 4119, 11107, 7025, 1111, 36, 609, 1625, 309, 6449, 4708, 343, 7407, 75, 418, 11354, 328, 743, 3425, 3, 188, 10687, 353, 4955, 4528, 35426, 286, 14916, 1625, 4574, 4540, 324, 248, 271, 3627, 4528, 769, 18952, 276, 29982, 1756, 254, 6151, 3603, 276, 35426, 457, 85, 45534, 6612, 2868, 532, 360, 452, 353, 2966, 324, 368, 4528, 188, 2300, 436, 5866, 596, 1081, 2241, 668, 615, 2391, 6656, 4528, 188, 27781, 22527, 432, 14916, 1625, 15, 1590, 43, 6323, 276, 2314, 343, 368, 1209, 310, 6323, 276, 2314, 14, 3122, 14, 310, 2891, 441, 1209, 2572, 14, 310, 961, 790, 1209, 21314, 479, 593, 8461, 1891, 1209, 2714, 32238, 368, 14, 368, 457, 251, 254, 580, 310, 961, 1756, 2374, 561, 254, 2774, 4358, 2622, 3, 0, 2549, 504, 387, 11667, 21908, 20843, 3124, 286, 770, 759, 272, 11967, 743, 8629, 274, 1464, 14, 830, 35324, 476, 3768, 6109, 286, 770, 759, 254, 24031, 1426, 274, 21080, 16, 496, 436, 3015, 14, 20445, 3686, 3134, 403, 2449, 16, 380, 1336, 368, 1782, 1074, 387, 20445, 3686, 7681, 311, 5740, 670, 368, 872, 353, 14, 343, 254, 4590, 274, 27141, 254, 1305, 3134, 2347, 282, 3191, 348, 1827, 15, 29925, 348, 1841, 16, 9120, 2966, 286, 9165, 843, 11667, 21908, 20843, 3124, 311, 254, 3834, 4793, 324, 35324, 10292, 20445, 3686, 3134, 16, 188, 32977, 40022, 4626, 388, 2096, 546, 15, 8399, 317, 570, 1521, 11399, 3290, 43496, 546, 1521, 16, 388, 2096, 546, 1521, 311, 272, 19854, 274, 1683, 1521, 286, 9259, 1521, 2449, 282, 5485, 1283, 3234, 2765, 1338, 286, 1305, 615, 5703, 939, 615, 10187, 2008, 16, 0, 5639, 457, 86, 1074, 254, 2525, 11282, 324, 633, 743, 16579, 29575, 33, 1286, 368, 452, 3542, 390, 12687, 561, 254, 3325, 343, 254, 16579, 29575, 11282, 286, 368, 872, 7338, 343, 7336, 14, 2160, 7955, 390, 403, 811, 5940, 276, 254, 13415, 286, 1015, 3357, 274, 633, 16579, 29575, 14, 835, 368, 476, 6013, 248, 2525, 11282, 432, 254, 16579, 29575, 4282, 16, 188, 1982, 254, 11346, 457, 85, 4282, 1042, 417, 1862, 7787, 328, 830, 282, 6013, 248, 16579, 29575, 2525, 11282, 14, 835, 368, 587, 1074, 9567, 274, 16579, 29575, 7262, 276, 772, 5287, 16, 11352, 248, 997, 387, 772, 5786, 11877, 324, 633, 1748, 1830, 14, 248, 624, 7212, 16579, 29575, 2525, 587, 12991, 321, 2041, 282, 1336, 368, 343, 254, 7336, 16, 0, 5844, 559, 32423, 444, 329, 1838, 81, 2992, 321, 248, 6949, 743, 3064, 274, 769, 686, 77, 305, 334, 81, 666, 3, 188, 2300, 4929, 338, 20, 14, 353, 369, 5618, 407, 32423, 444, 329, 1838, 81, 457, 85, 2485, 500, 15144, 23132, 327, 701, 311, 7353, 248, 3442, 274, 254, 13398, 3327, 1225, 348, 272, 14875, 16, 1469, 2992, 321, 815, 15, 5305, 273, 343, 6547, 42288, 39, 1374, 457, 85, 44248, 29742, 4917, 343, 254, 6593, 8802, 16, 188, 38, 5082, 457, 85, 37478, 22238, 29874, 252, 11958, 1051, 432, 616, 2472, 348, 272, 14875, 274, 254, 1225, 328, 4929, 495, 16, 188, 2721, 250, 444, 329, 1838, 81, 1143, 616, 11082, 348, 272, 19850, 1525, 254, 374, 18, 19, 24, 6268, 769, 26630, 3527, 6683, 28, 330, 11813, 8229, 15695, 265, 666, 286, 555, 1544, 4634, 328, 282, 1606, 276, 8663, 819, 974, 254, 6268, 769, 14626, 605, 28, 380, 17196, 33139, 666, 286, 254, 14164, 769, 23712, 38651, 1397, 1469, 2865, 248, 9315, 8126, 3059, 559, 10945, 328, 254, 374, 18, 19, 26, 354, 3851, 47646, 17646, 324, 616, 6555, 1525, 254, 14164, 16, 188, 1590, 686, 77, 305, 334, 81, 666, 2257, 85, 1004, 6741, 387, 495, 28, 23, 18, 269, 16, 79, 16, 610, 1244, 328, 323, 4309, 16, 188, 19499, 254, 25231, 8802, 758, 3, 0, 1212, 403, 2731, 324, 248, 8899, 4050, 282, 6429, 906, 69, 537, 265, 687, 254, 5603, 16, 188, 2231, 1985, 2705, 311, 3202, 2228, 368, 1339, 321, 2041, 282, 7368, 7478, 3621, 282, 785, 343, 9290, 2632, 747, 254, 5396, 1948, 11786, 7014, 16, 5066, 688, 2150, 3621, 311, 8778, 16, 0, 686, 1596, 282, 5194, 11841, 45449, 12347, 14, 16832, 1116, 15, 12174, 265, 2653, 286, 12061, 328, 3046, 14, 360, 1663, 282, 633, 2288, 4196, 1827, 15, 29925, 14, 593, 327, 254, 785, 286, 3941, 311, 2019, 5023, 432, 368, 16, 380, 10542, 3446, 407, 772, 5372, 10932, 13810, 286, 5058, 2214, 311, 15955, 1562, 790, 16, 839, 11882, 368, 286, 633, 12603, 587, 321, 17339, 407, 1081, 254, 3184, 286, 2497, 43643, 42116, 1027, 4013, 24224, 12794, 587, 3217, 282, 633, 2628, 2288, 16, 188, 35, 3027, 1269, 21841, 311, 811, 248, 4654, 536, 0, 43, 452, 1845, 13500, 14, 2075, 1416, 33, 5879, 2706, 33, 5879, 14687, 33, 188, 1253, 311, 353, 327, 2701, 441 ]
[ 1, 19539, 16, 310, 1328, 328, 248, 1409, 282, 1074, 248, 41491, 1026, 282, 3709, 254, 7588, 593, 353, 476, 321, 248, 19699, 314, 89, 27056, 11, 26082, 11295, 1037, 390, 4780, 248, 8901, 3, 188, 4792, 403, 512, 1241, 276, 5147, 1874, 407, 1874, 16, 188, 43, 774, 10011, 436, 10786, 2133, 276, 254, 2764, 14, 1544, 310, 2102, 452, 5694, 14, 286, 836, 4254, 35603, 390, 4931, 625, 1115, 8563, 14, 593, 626, 434, 1623, 641, 2863, 642, 683, 618, 671, 328, 836, 16, 1678, 14, 436, 369, 254, 1364, 274, 254, 347, 29158, 5694, 4, 327, 310, 1797, 1663, 2362, 593, 2019, 14, 593, 1495, 3074, 587, 452, 282, 3236, 1863, 310, 1074, 1495, 40979, 1868, 16, 14450, 16841, 479, 327, 254, 3837, 391, 30246, 7242, 310, 1797, 643, 2731, 387, 403, 1143, 432, 2057, 15809, 14, 286, 310, 1328, 2367, 343, 576, 23, 85, 14, 286, 327, 774, 321, 254, 2967, 16, 1638, 353, 1841, 282, 1041, 248, 576, 23, 713, 248, 3837, 391, 30246, 11295, 33, 310, 1328, 417, 2056, 29, 4895, 310, 587, 1074, 561, 580, 1362, 16, 2141, 310, 807, 915, 843, 1181, 272, 5241, 311, 387, 254, 1922, 7433, 2031, 4513, 286, 1574, 248, 1887, 580, 16, 188, 4412, 22936, 5446, 618, 4304, 22118, 10780, 14, 310, 4285, 327, 310, 961, 282, 452, 272, 18980, 274, 843, 1125, 274, 533, 6073, 310, 452, 16, 310, 865, 688, 274, 254, 23345, 18560, 310, 23089, 1848, 625, 1663, 597, 14, 593, 310, 1817, 747, 282, 865, 533, 4254, 310, 933, 2322, 386, 1063, 353, 434, 1480, 3447, 282, 1242, 729, 16, 310, 6774, 618, 1364, 14205, 274, 12567, 2966, 14, 593, 2304, 3148, 23220, 276, 254, 8659, 14, 310, 933, 321, 867, 3, 310, 476, 756, 1141, 274, 580, 642, 5081, 327, 310, 961, 282, 1574, 286, 310, 587, 997, 324, 327, 670, 310, 1450, 888, 282, 31342, 14740, 282, 4349, 1495, 8136, 25157, 22630, 314, 264, 763, 481, 310, 1623, 16315, 713, 46191, 343, 1081, 4525, 428, 310, 811, 3409, 353, 512, 7613, 561, 963, 286, 360, 476, 3869, 772, 1963, 324, 1637, 407, 5511, 772, 1193, 3, 8718, 310, 476, 751, 618, 2057, 18980, 1581, 2152, 436, 2065, 1205, 310, 3236, 324, 254, 12567, 282, 12317, 16, 2552, 310, 1782, 865, 748, 282, 4304, 286, 807, 513, 618, 30610, 436, 8621, 603, 2631, 1952, 3144, 597, 16, 26308, 274, 2211, 327, 512, 274, 254, 12567, 12317, 436, 2065, 16, 188, 43, 22933, 597, 343, 254, 46191, 353, 349, 1037, 593, 310, 37399, 688, 23345, 35604, 286, 295, 15, 3192, 4482, 254, 4304, 22118, 959, 16, 8829, 2942, 1938, 14, 310, 369, 9781, 343, 618, 46191, 4631, 16, 188, 43, 1143, 254, 7213, 282, 254, 44825, 15663, 286, 4904, 597, 763, 39353, 286, 248, 4304, 1677, 16, 380, 1241, 5694, 310, 573, 327, 4931, 625, 1115, 977, 452, 643, 3259, 265, 343, 960, 254, 4304, 1677, 286, 580, 274, 254, 39353, 282, 1574, 282, 825, 729, 713, 39353, 276, 254, 13810, 16, 380, 801, 580, 7871, 670, 21563, 14, 593, 618, 3074, 4104, 16, 2552, 14450, 3419, 353, 248, 4950, 286, 520, 3416, 561, 1755, 14, 532, 417, 3834, 16, 380, 2543, 3074, 311, 276, 254, 13810, 1012, 16, 310, 1782, 1574, 282, 751, 7753, 9024, 10590, 282, 913, 843, 360, 1797, 2152, 16, 188, 26255, 2034, 248, 743, 8802, 274, 10567, 274, 595, 21648, 14, 533, 2701, 597, 324, 641, 8659, 16, 310, 1218, 254, 4945, 428, 596, 497, 14724, 3, 310, 1141, 596, 1441, 2430, 963, 7919, 353, 713, 248, 5150, 3514, 16, 0, 2432, 403, 1125, 3395, 274, 26024, 282, 5053, 432, 14, 286, 4419, 254, 580, 327, 1640, 18956, 633, 3095, 286, 7363, 476, 321, 248, 37055, 4686, 16, 310, 11380, 889, 286, 5419, 248, 5372, 12836, 916, 13681, 14, 532, 642, 3395, 2066, 2408, 41847, 14, 5473, 14, 3556, 14, 286, 35866, 9941, 16, 5650, 1479, 274, 916, 13681, 476, 4565, 1157, 1508, 14, 532, 626, 403, 2675, 286, 3888, 7589, 274, 960, 1004, 580, 16, 380, 1964, 8619, 310, 997, 324, 276, 248, 916, 13681, 311, 254, 3621, 282, 4214, 1423, 254, 12061, 4112, 16, 188, 1934, 6111, 10985, 8895, 14, 368, 961, 282, 4277, 14135, 4151, 4738, 418, 4151, 28, 3355, 671, 286, 1656, 3171, 16, 2039, 3995, 4112, 311, 3834, 324, 436, 16, 0, 5459, 15999, 909, 28108, 403, 6742, 282, 3227, 16, 188, 25730, 15619, 1091, 3805, 248, 745, 15999, 909, 5529, 286, 8444, 311, 7826, 348, 248, 3316, 3816, 14, 353, 457, 85, 6742, 282, 5846, 683, 272, 418, 1244, 27208, 975, 16, 188, 24260, 255, 1091, 1860, 22775, 324, 695, 2330, 416, 8885, 14, 272, 418, 1244, 4279, 624, 8435, 14, 3936, 26904, 39353, 14, 286, 3936, 29410, 16, 188, 27302, 23387, 1091, 740, 418, 1244, 555, 1125, 624, 4735, 4105, 683, 248, 745, 15999, 909, 16, 380, 13381, 8497, 254, 2884, 274, 254, 963, 14, 286, 1339, 321, 31588, 4619, 14, 343, 39278, 387, 7414, 11197, 16, 1286, 353, 311, 4032, 15, 78, 537, 693, 456, 14, 254, 13381, 1339, 20406, 1525, 248, 11874, 9154, 31588, 407, 12918, 398, 14, 343, 254, 11874, 9154, 3038, 10594, 3198, 254, 1773, 6564, 12527, 16, 740, 3165, 15, 31336, 8561, 311, 2347, 276, 272, 418, 1244, 282, 3536, 888, 15, 15613, 274, 254, 13381, 314, 4465, 476, 4577, 39278, 286, 2759, 39353, 286, 13381, 282, 440, 11650, 481, 1860, 3536, 1773, 432, 18690, 888, 1051, 254, 963, 830, 353, 476, 11323, 7340, 286, 642, 20942, 14, 254, 975, 933, 452, 2374, 27388, 14, 3614, 1125, 418, 1244, 85, 513, 417, 16, 188, 4357, 331, 2283, 1091, 1860, 17531, 254, 3936, 8845, 274, 272, 418, 1244, 14, 2049, 343, 254, 2258, 4306, 13381, 10040, 14, 254, 1921, 274, 254, 963, 29410, 1339, 321, 3936, 683, 343, 248, 745, 15999, 909, 16, 496, 1596, 14, 248, 745, 15999, 909, 774, 321, 7826, 276, 248, 963, 327, 3432, 457, 86, 4196, 4800, 16, 826, 5480, 282, 254, 6326, 2347, 324, 248, 745, 15999, 909, 12343, 1129, 4434, 286, 20624, 16, 496, 1125, 1068, 14, 254, 12343, 671, 324, 248, 745, 15999, 909, 311, 1637, 683, 2630, 327, 3202, 324, 248, 1360 ]
[ 1, 286, 8856, 327, 2159, 324, 729, 2304, 353, 457, 85, 671, 324, 729, 282, 3437, 615, 1193, 1683, 16, 188, 9534, 602, 1928, 286, 254, 6546, 602, 71, 32878, 6284, 3970, 16897, 27119, 286, 34742, 324, 248, 5786, 328, 47857, 8251, 3686, 286, 1521, 16, 1180, 1093, 663, 497, 417, 2041, 282, 321, 276, 254, 2244, 14, 360, 5781, 254, 2241, 286, 1148, 8, 35, 16, 188, 9534, 602, 1928, 2672, 403, 11272, 266, 314, 264, 3402, 15, 927, 15, 1234, 15, 1203, 602, 266, 11, 663, 9196, 254, 1726, 2472, 20227, 1186, 286, 38622, 9877, 1115, 276, 30692, 772, 3015, 16, 25878, 624, 16, 0, 988, 559, 4988, 343, 7758, 274, 4611, 1723, 3, 188, 10072, 12287, 650, 5041, 248, 2849, 328, 248, 1802, 276, 254, 18024, 390, 276, 248, 5439, 311, 295, 7388, 1238, 834, 16, 2646, 248, 1603, 2819, 368, 3437, 633, 23723, 3108, 16, 4975, 5767, 327, 248, 2094, 7271, 274, 14256, 4611, 7758, 774, 1336, 942, 9050, 432, 3941, 16, 6529, 248, 1427, 2728, 7514, 3802, 1045, 328, 436, 2186, 407, 2410, 443, 1203, 5591, 26582, 16, 188, 1982, 353, 497, 327, 2875, 282, 2330, 3941, 407, 22474, 3089, 248, 2849, 939, 436, 3582, 10048, 3588, 274, 1760, 858, 2139, 4762, 4931, 457, 86, 327, 321, 248, 1247, 1596, 282, 633, 1683, 390, 3780, 14, 390, 348, 248, 8901, 282, 248, 1963, 343, 248, 743, 6676, 33, 188, 1931, 663, 3095, 272, 15817, 282, 2871, 276, 2314, 343, 254, 1760, 858, 2139, 4762, 367, 8391, 451, 12613, 33, 23490, 265, 276, 254, 3447, 338, 27, 21, 18, 457, 85, 248, 671, 276, 2803, 360, 2468, 1052, 3941, 1903, 14, 4780, 254, 7145, 1065, 1102, 353, 1679, 3859, 282, 3687, 254, 5439, 16, 310, 1102, 248, 3270, 274, 254, 2718, 286, 3065, 11961, 9994, 276, 254, 338, 27, 26, 18, 457, 85, 1205, 36250, 254, 5439, 16, 310, 369, 593, 545, 349, 9329, 407, 353, 310, 2790, 3189, 286, 248, 4713, 5439, 2803, 16, 188, 16670, 85, 276, 763, 9300, 403, 1845, 2066, 432, 479, 286, 476, 321, 6774, 1045, 16, 188, 1982, 368, 2314, 3582, 10048, 7901, 1045, 311, 248, 2951, 324, 624, 4221, 16, 188, 43, 715, 272, 9306, 4128, 286, 20866, 274, 3629, 286, 31855, 16, 310, 1102, 641, 12180, 3588, 274, 1760, 858, 2139, 4762, 670, 360, 4255, 1045, 432, 9438, 276, 254, 848, 18, 457, 85, 14, 593, 4285, 310, 650, 16618, 353, 4128, 1851, 6705, 19464, 274, 9138, 31855, 26267, 1125, 274, 729, 3326, 1284, 11116, 26267, 14, 811, 407, 1129, 13947, 16, 2666, 2479, 276, 2006, 14069, 30384, 1394, 479, 282, 248, 3378, 274, 248, 26725, 8458, 1360, 9994, 343, 641, 3189, 1140, 2692, 1143, 324, 254, 338, 27, 21, 27, 18505, 16, 826, 311, 353, 3, 1583, 580, 476, 6982, 254, 45491, 3616, 274, 436, 14069, 9994, 286, 353, 933, 321, 2066, 16, 310, 418, 4594, 1661, 254, 10963, 274, 254, 9994, 343, 5626, 387, 254, 1708, 16, 906, 43755, 532, 593, 977, 324, 436, 5439, 16, 1822, 353, 2961, 369, 248, 4713, 2803, 276, 254, 9650, 2426, 3692, 276, 254, 5017, 1628, 14, 9055, 6234, 4314, 14, 286, 248, 1603, 7020, 15140, 688, 1603, 3483, 327, 497, 12448, 532, 417, 4131, 16, 5431, 1726, 274, 512, 353, 2961, 272, 9306, 457, 85, 1116, 282, 818, 3189, 14, 286, 310, 715, 272, 9306, 14, 593, 399, 10854, 3, 310, 3446, 254, 3189, 960, 3189, 269, 2021, 3560, 16, 14368, 10657, 353, 343, 254, 401, 4518, 4762, 12448, 3588, 310, 2790, 254, 2424, 5516, 533, 311, 593, 3458, 328, 254, 401, 4518, 4762, 3588, 16, 188, 16365, 368, 3051, 2734, 254, 5439, 14, 390, 7829, 6649, 276, 26438, 390, 1382, 276, 254, 21445, 610, 4847, 22996, 324, 254, 331, 459, 16, 11903, 368, 2378, 8812, 254, 21445, 655, 23077, 8258, 34881, 276, 254, 5603, 33, 10078, 368, 1218, 390, 915, 3430, 659, 274, 1129, 248, 8571, 31970, 286, 961, 282, 4010, 1760, 858, 2139, 4762, 33, 1395, 933, 3, 188, 1516, 12448, 3588, 311, 248, 1247, 5158, 274, 27256, 8697, 11961, 265, 276, 254, 338, 27, 21, 18, 457, 85, 14, 343, 1125, 10972, 407, 479, 1648, 3189, 14, 327, 12480, 20712, 368, 314, 600, 282, 3856, 11, 713, 254, 5439, 16, 28390, 282, 865, 624, 274, 254, 2803, 274, 254, 5439, 286, 353, 457, 85, 8641, 33, 15246, 1045, 16, 1223, 624, 8464, 1045, 16, 188, 43, 452, 1012, 1143, 254, 12448, 3588, 2066, 282, 915, 286, 1316, 276, 254, 801, 1321, 1619, 3198, 254, 5439, 3038, 28, 1760, 858, 2139, 4762, 43221, 286, 9512, 4956, 5044, 954, 1547, 452, 248, 1733, 28283, 3588, 977, 1689, 282, 254, 4678, 830, 368, 1316, 14, 286, 596, 1920, 248, 1330, 18980, 274, 254, 7901, 276, 374, 9300, 16, 380, 1760, 858, 2139, 4762, 12613, 274, 1996, 1921, 476, 1845, 321, 6774, 328, 618, 4282, 1045, 16, 188, 4177, 858, 2139, 4762, 43221, 706, 9512, 2020, 5044, 24267, 272, 23734, 46848, 6630, 1022, 2109, 254, 3588, 3, 188, 1130, 311, 248, 1247, 1619, 282, 1316, 10864, 286, 1354, 248, 2849, 4680, 254, 26267, 977, 561, 888, 274, 436, 24670, 3532, 4024, 407, 32313, 267, 286, 16920, 954, 1395, 669, 476, 2035, 31265, 433, 3284, 626, 3, 188, 1982, 368, 1316, 939, 618, 4282, 353, 3809, 495, 390, 576, 1842, 286, 626, 403, 4466, 324, 14659, 254, 3270, 276, 248, 9154, 16, 731, 311, 2066, 1081, 348, 495, 18, 18093, 6106, 348, 8427, 626, 14, 390, 248, 4434, 1921, 338, 26, 18093, 6106, 282, 3637, 254, 4747, 274, 254, 401, 4518, 4762, 12613, 16, 380, 401, 4518, 12613, 533, 311, 2066, 387, 254, 8745, 387, 401, 4518, 3847, 286, 26487, 5044, 276, 10856, 378, 656, 2635, 16, 1286, 368, 961, 282, 915, 254, 401, 4518, 4762, 12613, 286, 843, 353, 6846, 282, 254, 1760, 858, 2139, 4762, 12613, 310, 4025, 668, 353, 1045, 954, 1395, 476, 1845, 3256, 1052, 479, 282, 1316, 353, 16, 576, 19, 20, 15, 22, 18, 19, 15, 26, 26, 19, 20, 16, 188, 1253, 311, 1953, 276, 254, 12448, 1760, 858, 2139, 4762, 12613, 14, 642, 683, 254, 5439, 2575, 14, 26267, 286, 5439, 37940, 33, 46532, 6342, 274, 10501 ]
[ 1, 5055, 282, 607, 28, 18, 18, 5207, 12315, 1682, 407, 1991, 837, 420, 33997, 16, 188, 12412, 3, 8486, 276, 282, 1315, 441, 865, 843, 44103, 1198, 26618, 273, 9241, 369, 33, 188, 25545, 323, 16, 4276, 374, 19, 954, 188, 43, 13407, 2436, 44103, 1198, 432, 44103, 1198, 26618, 273, 343, 248, 2133, 324, 618, 2485, 785, 3377, 16, 839, 2961, 282, 35953, 2218, 772, 1460, 432, 9564, 276, 254, 20280, 16, 839, 4149, 282, 4002, 14, 3918, 14, 25136, 40848, 14, 23123, 14, 5267, 286, 254, 4953, 11401, 328, 2072, 14, 532, 2876, 282, 772, 2485, 931, 328, 254, 8550, 369, 248, 1840, 706, 24126, 1845, 16, 188, 36, 262, 1198, 26618, 273, 9241, 2449, 441, 343, 580, 274, 615, 3462, 347, 2300, 15, 1259, 24902, 7258, 9241, 3333, 839, 1872, 1062, 13109, 286, 5058, 282, 452, 1102, 248, 2485, 327, 807, 2445, 772, 3095, 706, 12308, 16, 44898, 772, 2485, 931, 13665, 286, 2066, 2969, 248, 9621, 10510, 360, 872, 353, 311, 9308, 282, 772, 2485, 2072, 2251, 16, 6971, 24902, 7258, 5322, 403, 248, 26305, 4817, 14, 9377, 14, 7688, 14, 3684, 14, 3364, 282, 34856, 14, 286, 1640, 274, 512, 1062, 17740, 16, 188, 3992, 618, 785, 3377, 311, 4652, 286, 276, 15, 23559, 387, 512, 2008, 14, 368, 811, 872, 2218, 282, 254, 7142, 286, 248, 16101, 16, 14933, 729, 561, 596, 403, 254, 1640, 16, 3646, 563, 282, 615, 4282, 286, 5370, 328, 655, 30126, 30304, 21227, 8647, 41445, 3222, 20477, 16, 188, 21957, 262, 529, 16, 4276, 374, 19, 954, 188, 34660, 892, 354, 16, 4276, 374, 19, 954, 188, 40691, 466, 331, 16, 4276, 374, 19, 954, 188, 32099, 1318, 443, 16, 4276, 374, 19, 954, 188, 43, 14167, 44103, 1198, 26618, 273, 282, 1336, 479, 343, 618, 1683, 975, 286, 11426, 2896, 16, 740, 13897, 369, 11214, 16, 1547, 7053, 328, 671, 286, 2263, 615, 671, 282, 5353, 748, 596, 497, 668, 282, 513, 286, 843, 254, 2774, 9713, 369, 1438, 282, 785, 324, 479, 16, 188, 4412, 596, 497, 2152, 310, 369, 1062, 17339, 343, 254, 2497, 286, 3184, 274, 785, 16, 7823, 2115, 327, 2263, 618, 3983, 369, 327, 596, 497, 1062, 17740, 286, 11719, 451, 16, 1286, 3655, 276, 11052, 3095, 1336, 343, 615, 4242, 390, 2896, 3265, 31214, 44103, 1198, 26618, 273, 9241, 14, 596, 403, 6939, 16, 188, 59, 9335, 331, 16, 4276, 374, 19, 954, 188, 43, 14167, 44103, 1198, 26618, 273, 9241, 282, 1336, 441, 343, 772, 2485, 2896, 14, 11426, 10640, 286, 328, 15, 10968, 1305, 16, 2436, 286, 520, 2214, 403, 26305, 14, 1845, 328, 671, 286, 1062, 5537, 16, 1286, 368, 403, 2731, 324, 272, 7806, 1361, 282, 1305, 633, 2485, 4163, 11367, 286, 3095, 14, 310, 1754, 368, 1052, 729, 368, 587, 417, 321, 18715, 16, 188, 1212, 11719, 1340, 19287, 368, 282, 4010, 772, 4282, 286, 5757, 441, 248, 3751, 16, 1286, 368, 872, 665, 6879, 15, 1405, 15, 39455, 21040, 390, 6879, 390, 7977, 81, 15, 22330, 360, 403, 1045, 282, 9806, 368, 286, 282, 2023, 254, 3134, 368, 403, 2731, 324, 286, 16850, 16, 188, 9509, 11100, 26618, 273, 14, 6313, 7977, 375, 706, 37569, 11100, 14, 18626, 2633, 3399, 14, 1585, 15, 26395, 14763, 14, 10419, 273, 14, 35092, 6443, 597, 706, 8809, 14, 1585, 15, 1259, 11762, 16, 188, 1982, 368, 1797, 643, 282, 390, 900, 44103, 1198, 26618, 273, 9241, 14, 3437, 248, 2207, 16, 0, 7470, 835, 374, 5614, 13048, 785, 328, 618, 12343, 324, 18267, 27022, 560, 16, 1286, 310, 1649, 495, 835, 353, 13048, 2636, 3338, 328, 254, 28832, 16, 1334, 476, 310, 11022, 436, 603, 310, 650, 624, 835, 374, 6151, 3547, 328, 580, 3135, 33, 188, 5639, 368, 913, 633, 2586, 9433, 286, 407, 16452, 495, 16, 839, 476, 2374, 286, 1315, 368, 865, 16, 188, 43, 587, 3510, 368, 254, 10335, 276, 254, 300, 28547, 310, 4856, 1012, 16, 188, 4940, 368, 4856, 479, 633, 4436, 325, 559, 593, 883, 476, 3541, 33, 188, 13447, 34, 3212, 86, 47323, 16, 679, 311, 772, 4436, 2570, 16, 188, 2231, 1848, 457, 86, 751, 665, 4436, 16, 0, 35, 607, 18, 15, 2823, 15, 741, 636, 432, 26668, 304, 77, 5418, 8116, 274, 712, 325, 325, 363, 3180, 276, 20491, 605, 3126, 14, 663, 369, 2367, 348, 248, 21941, 35154, 4513, 7014, 276, 7554, 14, 369, 4950, 3720, 328, 7738, 2286, 16, 188, 510, 23557, 555, 643, 3516, 348, 610, 832, 67, 21148, 472, 5418, 4270, 6249, 16, 380, 6932, 5699, 1205, 4270, 6249, 14, 663, 573, 4255, 282, 7554, 4941, 1090, 3502, 276, 3083, 274, 41956, 14, 369, 10902, 1051, 254, 4513, 16, 188, 510, 367, 560, 318, 6654, 3398, 9572, 444, 72, 302, 25654, 443, 20246, 366, 317, 32062, 14, 374, 27, 29, 5848, 16761, 5629, 15686, 6041, 14, 374, 21, 29, 286, 28465, 45490, 44973, 437, 14, 495, 22, 14, 343, 254, 1336, 274, 38259, 56, 19934, 2066, 387, 254, 4513, 16, 1547, 497, 2131, 282, 9382, 12552, 16, 188, 6942, 282, 4270, 6249, 457, 85, 1963, 276, 529, 377, 268, 14, 345, 369, 7028, 282, 1076, 282, 5267, 3402, 286, 1242, 688, 2072, 1045, 343, 254, 2501, 345, 9548, 407, 2367, 276, 327, 2504, 16, 188, 1590, 1304, 852, 520, 44900, 276, 26668, 304, 77, 5418, 8116, 286, 6140, 520, 4110, 276, 8086, 491, 22657, 16, 2646, 12836, 3448, 276, 2006, 1330, 9094, 345, 4255, 282, 254, 4953, 343, 254, 1336, 274, 520, 3732, 1756, 248, 1963, 3442, 391, 2044, 16, 188, 9984, 6249, 457, 85, 4335, 33514, 9183, 6279, 286, 763, 18808, 23437, 5804, 286, 32820, 9465, 403, 276, 248, 1350, 274, 6779, 16, 769, 1212, 2144, 282, 865, 668, 254, 6932, 756, 328, 8109, 2286, 1756, 4270, 6249, 457, 85, 3282, 427, 1020, 304, 3123, 4270, 6249, 749, 16, 750, 17821, 254, 1350, 2142, 282, 1336, 276, 9487, 254, 4417, 274, 4270, 6249, 282, 520, 7716, 1619, 324, 520, 1364, 391, 3149, 16, 0, 2182, 274, 254, 289, 281, 6655, 85, 14, 2156, 343, 24580, 434, 1336, 16, 188, 584, 337, 268, 633, 3418, 432, 254, 1321, 16, 188, 32, 210, 16968, 883, 1797, 1652, 248 ]
[ 1, 9931, 14, 276, 8446, 14, 286, 276, 13513, 286, 3686, 16, 188, 1934, 330, 4433, 543, 32579, 265, 18424, 21041, 6928, 63, 1963, 14, 6829, 324, 30479, 512, 274, 368, 16, 1395, 7434, 479, 1062, 1181, 16, 310, 5565, 512, 254, 1062, 1640, 324, 254, 2764, 16, 188, 3916, 417, 7395, 618, 3732, 286, 13567, 328, 436, 841, 310, 715, 4634, 4, 188, 686, 248, 4706, 4025, 282, 254, 2421, 5132, 14, 31344, 263, 749, 327, 2421, 933, 2023, 14140, 282, 26023, 263, 3371, 1544, 596, 403, 9999, 10795, 16, 0, 57, 10385, 36405, 283, 781, 929, 570, 495, 23, 311, 2154, 441, 16, 188, 1130, 933, 321, 248, 1157, 913, 16, 330, 1034, 913, 641, 5382, 343, 668, 607, 18, 18, 9862, 328, 254, 3021, 532, 254, 4869, 274, 729, 452, 248, 2187, 274, 2365, 276, 2349, 274, 3637, 3184, 593, 1045, 311, 11213, 324, 248, 1247, 913, 16, 188, 1130, 311, 580, 274, 1093, 2984, 6186, 830, 626, 403, 248, 1603, 9862, 327, 807, 28997, 353, 593, 327, 457, 85, 1845, 5167, 16, 22779, 274, 1887, 9862, 286, 343, 593, 1125, 9862, 360, 452, 282, 3409, 626, 1856, 457, 86, 321, 665, 1051, 2523, 16, 188, 1435, 457, 85, 452, 248, 3055, 997, 387, 254, 6151, 33320, 13282, 327, 360, 457, 619, 321, 1626, 273, 254, 11861, 328, 16, 188, 47, 560, 15327, 9776, 28, 657, 86, 734, 1318, 17555, 387, 428, 19, 22, 18, 16, 7134, 558, 19, 18, 18, 16, 188, 57, 298, 560, 15327, 9776, 28, 418, 31011, 19295, 17555, 387, 428, 19, 19, 23, 16, 7134, 428, 19, 20, 23, 16, 188, 40389, 683, 11779, 1033, 3637, 310, 715, 811, 1438, 282, 1581, 748, 4254, 310, 715, 33320, 16, 188, 40213, 427, 3143, 282, 12577, 28, 330, 1062, 1330, 699, 328, 14450, 3256, 974, 345, 457, 85, 248, 10041, 1922, 16, 3006, 327, 436, 9287, 587, 1623, 1521, 668, 327, 532, 310, 1141, 327, 457, 85, 2151, 282, 7304, 248, 1330, 699, 328, 775, 387, 436, 4236, 16, 310, 457, 79, 2430, 248, 338, 17, 22, 87, 699, 328, 14450, 427, 3143, 16, 188, 57, 298, 560, 17247, 28892, 1091, 380, 7134, 16, 310, 457, 79, 1438, 343, 380, 7134, 687, 36848, 296, 12466, 387, 558, 19, 26, 18, 13282, 16, 3646, 580, 274, 1093, 9862, 830, 310, 476, 915, 272, 13623, 4955, 16, 17307, 1815, 427, 570, 286, 15771, 1711, 650, 3223, 254, 14110, 387, 254, 444, 2727, 1483, 22400, 532, 310, 1141, 596, 807, 3223, 729, 1045, 16, 188, 36, 15800, 282, 3223, 28, 826, 671, 1364, 802, 360, 497, 1438, 939, 254, 1057, 2115, 1091, 34456, 369, 1438, 282, 29947, 276, 254, 14141, 8282, 286, 650, 6979, 16, 1223, 345, 1848, 457, 86, 16, 1664, 403, 2151, 3418, 1045, 282, 699, 328, 34456, 276, 618, 4596, 16, 6788, 663, 1042, 31219, 38605, 343, 1689, 33, 6100, 512, 254, 14110, 1623, 1438, 282, 1767, 33, 7644, 4269, 248, 338, 17, 22, 87, 699, 328, 34456, 282, 3223, 16, 188, 57, 298, 560, 15327, 9776, 28, 32247, 343, 248, 338, 17, 22, 87, 699, 328, 254, 7134, 4488, 418, 31011, 16, 188, 47, 560, 15327, 9776, 28, 338, 17, 20, 87, 328, 380, 7134, 4488, 657, 734, 1318, 16, 11903, 282, 4143, 603, 254, 6978, 46, 5898, 13102, 775, 390, 5745, 16, 188, 2686, 457, 85, 353, 16, 15554, 37681, 282, 563, 343, 17101, 91, 282, 6979, 1091, 532, 353, 8950, 747, 596, 452, 31174, 616, 276, 254, 29323, 43020, 286, 360, 512, 865, 843, 327, 4168, 561, 1091, 775, 9619, 387, 2984, 570, 16, 0, 17716, 274, 595, 21648, 28, 1834, 23595, 1334, 8707, 6100, 330, 609, 67, 286, 443, 423, 609, 33, 188, 8209, 10739, 434, 5696, 6170, 9498, 3432, 625, 1863, 1689, 2065, 14, 254, 2896, 555, 2102, 1663, 3461, 343, 688, 2298, 1312, 8547, 3547, 16, 1547, 1797, 22618, 254, 610, 466, 1556, 323, 16125, 1348, 14164, 29982, 324, 248, 1250, 2858, 14, 532, 1201, 7862, 5579, 286, 380, 401, 6057, 452, 1081, 643, 4446, 265, 16, 188, 44, 16, 44, 16, 47673, 434, 33331, 2181, 2868, 1201, 7862, 5579, 1503, 417, 321, 3720, 286, 13820, 2486, 29, 254, 913, 311, 16837, 1129, 6560, 1828, 1444, 387, 642, 6743, 14, 593, 626, 311, 248, 4688, 353, 807, 321, 42197, 16, 12182, 14, 378, 2409, 652, 2527, 566, 380, 401, 6057, 311, 944, 2692, 2152, 11338, 16, 1286, 368, 1441, 248, 7779, 14, 321, 2056, 282, 5667, 254, 35083, 6612, 2286, 324, 580, 1364, 32717, 282, 254, 2868, 16, 188, 5905, 780, 10567, 274, 595, 21648, 19210, 28, 13644, 10084, 8, 521, 375, 29, 85, 399, 602, 39401, 2253, 258, 2640, 14683, 826, 30242, 6683, 21729, 0, 26, 25, 7, 274, 436, 11399, 457, 85, 576, 18, 24, 1338, 663, 403, 719, 23, 286, 5498, 6715, 387, 1824, 580, 17130, 324, 272, 44420, 3749, 2766, 14, 2352, 282, 272, 3278, 274, 576, 22, 7536, 188, 20, 7, 274, 436, 11399, 457, 85, 607, 20, 19, 1338, 6715, 387, 1824, 580, 17130, 324, 272, 18282, 2766, 14, 2352, 282, 272, 3278, 274, 338, 7536, 188, 18, 7, 274, 436, 11399, 457, 85, 607, 20, 19, 1338, 6715, 387, 1824, 580, 17130, 324, 272, 27464, 14, 2352, 282, 272, 3278, 274, 338, 7536, 188, 6, 22, 20, 369, 254, 3278, 4236, 274, 248, 17130, 432, 436, 11399, 14, 2352, 282, 370, 27, 20, 2124, 21080, 16, 0, 40994, 14332, 8136, 11176, 311, 254, 407, 15, 7312, 274, 4032, 11675, 274, 45426, 12567, 5563, 276, 476, 912, 6073, 16, 380, 12567, 403, 8835, 432, 254, 7924, 2080, 14, 11652, 286, 13857, 16, 15963, 14332, 12567, 3706, 374, 18, 15, 21, 25, 7, 4032, 14, 7100, 328, 254, 3307, 286, 18766, 275, 314, 44856, 43418, 1145, 356, 896, 374, 18, 18, 27, 481, 826, 4032, 311, 3673, 10105, 33709, 14, 4645, 276, 248, 2243, 14797, 16, 496, 688, 2153, 248, 15038, 311, 900, 282, 3054, 4032, 7160, 314, 45, 18066, 252, 1145, 356, 896, 338, 27, 25, 24, 29, 24111, 13167, 1145, 356, 896, 374, 18, 18, 23, 481, 188, 13816, 2418, 45426, 23432, 403, 900, 324, 254, 8773, 274, 36237, 591, 286, 593, 1774, 286, 276 ]
[ 1, 274, 1564, 747, 254, 4852, 34073, 81, 32831, 830, 368, 476, 26021, 347, 510, 19145, 4070, 2740, 4, 580, 274, 254, 944, 5230, 46187, 276, 254, 1499, 14, 380, 3847, 21121, 274, 254, 38161, 274, 15996, 14399, 28036, 6381, 635, 570, 533, 9648, 580, 274, 254, 944, 13562, 20237, 407, 2556, 579, 43991, 14, 3843, 274, 254, 261, 723, 85, 1873, 348, 4852, 13538, 43154, 5202, 15414, 286, 254, 5935, 274, 254, 22974, 276, 367, 3796, 2395, 14, 248, 1619, 830, 2393, 311, 47141, 456, 747, 254, 1464, 16, 188, 35, 1603, 4867, 432, 8707, 9812, 311, 4269, 13594, 254, 8279, 18661, 18060, 10154, 22529, 3532, 276, 27533, 15, 41, 832, 281, 3616, 533, 9648, 1125, 33499, 85, 274, 38140, 286, 254, 2531, 274, 4852, 443, 2399, 14929, 16, 1948, 76, 7631, 282, 254, 34998, 311, 254, 33403, 274, 254, 42462, 274, 4852, 443, 2399, 14929, 248, 9138, 1619, 282, 452, 6050, 15158, 437, 1723, 286, 17635, 327, 254, 641, 8904, 687, 254, 1499, 25934, 282, 254, 23271, 348, 248, 855, 274, 33258, 16, 3683, 274, 254, 41750, 274, 4852, 443, 2399, 14929, 22419, 254, 1294, 274, 254, 32190, 41750, 16, 3063, 417, 2891, 254, 9632, 862, 274, 42722, 28, 380, 12607, 39765, 4814, 892, 2527, 286, 254, 9632, 294, 20268, 9, 49, 5546, 14, 532, 669, 254, 19360, 6677, 1058, 4852, 5629, 2527, 432, 533, 368, 476, 26021, 580, 274, 254, 944, 5230, 37331, 274, 42722, 16, 188, 1368, 476, 457, 86, 3437, 432, 42722, 1269, 39024, 254, 1491, 21841, 16, 380, 21841, 276, 42722, 311, 6722, 343, 1017, 6936, 14, 254, 17150, 311, 2875, 14, 1143, 274, 756, 248, 1603, 12347, 14, 1773, 14, 11939, 286, 15291, 16, 496, 42722, 626, 403, 1125, 1015, 7831, 2045, 274, 21841, 14, 532, 254, 1491, 3417, 521, 312, 9890, 21841, 311, 254, 13209, 379, 5576, 314, 24491, 4467, 14, 5337, 4256, 608, 14392, 286, 39103, 481, 1268, 42722, 2653, 311, 417, 811, 668, 21841, 14, 11416, 665, 10032, 276, 254, 2758, 368, 476, 8840, 18088, 8895, 16637, 282, 3834, 6592, 16637, 16, 839, 650, 5440, 5419, 254, 652, 357, 42523, 343, 37328, 390, 347, 340, 32236, 7166, 34785, 4, 248, 11295, 1143, 343, 11471, 14, 37328, 14, 34099, 286, 1679, 313, 1743, 390, 254, 25035, 26773, 343, 254, 3417, 521, 312, 9890, 22854, 13712, 14, 248, 12028, 1143, 343, 24004, 286, 8895, 432, 254, 2104, 14, 18088, 2292, 324, 2006, 2942, 16, 330, 1491, 36194, 1917, 3, 6435, 368, 476, 8840, 6685, 26578, 85, 274, 42722, 28, 254, 378, 10172, 286, 254, 40543, 5444, 343, 1543, 252, 3864, 81, 274, 23588, 623, 81, 16, 0, 510, 27897, 18204, 34185, 311, 580, 274, 2006, 22595, 87, 3800, 276, 248, 1361, 274, 22595, 87, 3800, 14, 1648, 254, 30712, 34185, 327, 3290, 324, 32047, 265, 286, 19271, 4923, 16, 26863, 11318, 8705, 274, 13705, 71, 1234, 266, 630, 11969, 12581, 254, 12814, 13274, 34185, 353, 3290, 272, 3026, 830, 29470, 314, 13012, 682, 11, 476, 321, 1635, 615, 6995, 276, 248, 3506, 3026, 16, 380, 34185, 17352, 276, 580, 274, 254, 1125, 610, 4077, 44762, 314, 41, 2000, 266, 11, 274, 254, 6631, 268, 447, 4827, 10838, 2413, 3290, 254, 3834, 3026, 324, 4064, 11970, 432, 1444, 254, 1499, 16, 188, 25155, 254, 5230, 4610, 286, 11030, 2705, 254, 47790, 3579, 3290, 272, 45954, 2705, 713, 254, 3358, 1918, 2803, 274, 254, 2104, 343, 248, 5230, 1806, 274, 254, 11001, 651, 70, 432, 30678, 695, 2779, 16, 188, 510, 6631, 268, 447, 4827, 311, 254, 16693, 30452, 2029, 551, 10838, 2413, 13227, 432, 374, 16, 24, 378, 2146, 1090, 314, 39095, 1344, 5487, 8458, 481, 510, 2413, 32656, 432, 18090, 77, 1646, 297, 1021, 5365, 9023, 274, 24099, 19543, 314, 41, 1864, 1187, 11, 282, 32684, 38700, 314, 19269, 4117, 11, 3174, 338, 20, 18, 45, 79, 16, 188, 510, 2413, 27680, 15063, 282, 254, 5976, 343, 16165, 42369, 282, 254, 6248, 314, 484, 18485, 14299, 481, 3602, 21409, 254, 6187, 11001, 651, 70, 23387, 14, 248, 16682, 6611, 9272, 569, 527, 18292, 5346, 324, 254, 597, 18485, 3629, 274, 254, 6631, 268, 447, 4827, 15497, 2413, 16, 0, 6330, 25844, 7973, 1466, 5961, 248, 29334, 274, 2382, 15, 26048, 14, 33595, 16075, 7067, 45065, 1125, 1015, 1907, 2632, 286, 2642, 4719, 16, 6499, 274, 254, 7067, 476, 321, 34427, 2600, 276, 272, 28902, 4610, 343, 10021, 8808, 319, 14, 286, 13102, 254, 872, 324, 624, 16075, 14, 1493, 36529, 343, 2025, 24824, 16, 188, 36, 15007, 5225, 9384, 1091, 657, 591, 390, 6362, 1711, 476, 321, 4694, 758, 1246, 15, 1376, 286, 18001, 12570, 2362, 2878, 1114, 1525, 254, 42922, 10372, 16, 188, 38, 33025, 286, 12334, 527, 12777, 5225, 9384, 1091, 399, 33025, 15087, 1312, 2049, 343, 512, 2983, 274, 23158, 2218, 476, 321, 4694, 758, 18001, 286, 1246, 15, 1376, 12570, 16, 188, 41, 505, 17892, 4048, 1091, 5556, 6835, 16605, 286, 25241, 16605, 476, 321, 4694, 713, 254, 12261, 343, 1246, 15, 1376, 12570, 16, 188, 7278, 263, 454, 2680, 5225, 9384, 1091, 47854, 486, 15087, 1312, 286, 332, 591, 476, 321, 4694, 1525, 254, 31984, 286, 18140, 758, 1246, 15, 1376, 286, 16961, 517, 12570, 16, 188, 46, 2299, 17, 47491, 9897, 6757, 13758, 1091, 27247, 2912, 7208, 390, 1246, 15, 1376, 12570, 14, 6550, 286, 4740, 1907, 32312, 476, 321, 2600, 15353, 16, 188, 6018, 18392, 788, 38300, 249, 3935, 546, 5991, 375, 2390, 281, 1572, 2022, 314, 54, 23949, 11, 1091, 496, 2153, 274, 7077, 6550, 2642, 14, 19409, 476, 3536, 254, 2539, 9789, 274, 2531, 432, 254, 19684, 17214, 282, 254, 2710, 14, 4144, 282, 47786, 26457, 15, 935, 1248, 14, 390, 6340, 1916, 15, 484, 276, 254, 29687, 15, 9159, 3149, 16, 330, 17689, 25026, 476, 321, 4694, 939, 254, 6550, 960, 15087, 1312, 7077, 432, 254, 25562, 788, 1357, 276, 254, 7421, 758, 1246, 15, 1376, 12570, 16, 0, 12412, 3997, 3093, 16, 37856, 1045, 16, 1286, 368, 403, 248, 3442, 274, 772, 13900, 286, 378, 9719, 3801, 2713, 2863, 5495, 368, 2102, 865, 327, 360, 889, 254, 4442, 3184, 20538, 6825, 26740, 10205, 386, 16472, 14, 2713, 2863, 27157, 286, 6025, 27157, 16, 188, 1843 ]
[ 1, 311, 248, 4698, 274, 32775, 286, 39284, 14, 830, 254, 20826, 332, 2201, 900, 282, 321, 16, 1993, 403, 688, 274, 254, 3132, 8952, 343, 688, 13562, 4829, 29641, 16, 496, 519, 1335, 282, 254, 32775, 276, 254, 2104, 14, 626, 403, 2006, 16527, 14, 15224, 266, 286, 8735, 16, 188, 14918, 1249, 11571, 20980, 28, 380, 6338, 1249, 11571, 274, 25356, 311, 272, 798, 12067, 1393, 628, 274, 254, 2803, 274, 254, 2504, 16, 731, 8193, 274, 763, 3904, 43165, 5631, 1895, 314, 32990, 6338, 1249, 11571, 286, 20062, 6338, 1249, 11571, 581, 380, 2141, 3627, 466, 14, 254, 657, 2201, 286, 254, 13562, 22580, 16, 188, 14846, 659, 38571, 28, 330, 5230, 5439, 1444, 533, 626, 403, 1125, 28900, 819, 348, 254, 12812, 14, 254, 9812, 6519, 286, 41317, 5951, 16, 188, 5283, 29309, 3867, 28, 380, 25356, 2341, 29309, 311, 580, 274, 254, 944, 8307, 286, 1668, 23565, 9648, 276, 254, 1499, 16, 3774, 276, 254, 2318, 1090, 274, 695, 4116, 353, 369, 417, 3136, 4489, 14, 2966, 353, 311, 580, 274, 254, 944, 8307, 1415, 285, 14, 343, 687, 374, 18, 18, 15777, 248, 802, 16, 46752, 476, 321, 9461, 3783, 16, 188, 2345, 6119, 1711, 28, 2514, 274, 254, 6081, 286, 944, 1726, 11109, 12058, 276, 254, 1499, 16, 731, 14120, 2124, 642, 2893, 274, 4064, 293, 14, 19823, 25460, 14, 610, 2727, 86, 14, 40251, 286, 354, 9153, 16, 188, 42, 1153, 5951, 28, 40260, 276, 254, 338, 21, 394, 5174, 14, 353, 369, 254, 1683, 274, 254, 6851, 274, 254, 388, 5217, 5951, 33248, 14, 286, 2966, 353, 311, 254, 3449, 12558, 286, 21194, 274, 254, 3792, 274, 21096, 16, 24267, 353, 3357, 348, 248, 15621, 343, 15210, 2815, 282, 22375, 323, 737, 75, 314, 498, 4381, 14, 22106, 1723, 14, 4334, 6055, 404, 14, 3838, 12989, 188, 36269, 29583, 349, 4553, 86, 28, 330, 7213, 282, 25356, 476, 457, 247, 2696, 3316, 5569, 368, 4010, 29583, 349, 4553, 86, 16, 380, 16693, 286, 6081, 2703, 276, 254, 2758, 830, 368, 476, 1074, 3148, 432, 1922, 3462, 282, 11334, 36194, 18552, 16, 380, 1640, 1362, 282, 4010, 29583, 349, 4553, 86, 311, 7608, 14, 670, 626, 311, 248, 1733, 1493, 15, 1078, 2703, 276, 254, 2104, 16, 188, 56, 43324, 3143, 15224, 266, 28, 32516, 276, 25356, 311, 624, 683, 272, 7950, 30583, 16, 16059, 254, 1515, 274, 2963, 830, 942, 5324, 615, 8350, 286, 3437, 14, 353, 434, 2539, 276, 25356, 282, 1741, 324, 2942, 17741, 633, 8350, 16, 1838, 1354, 248, 354, 19661, 904, 314, 69, 1194, 21486, 2527, 11, 286, 248, 14797, 286, 3575, 254, 655, 43324, 3143, 942, 348, 603, 368, 497, 580, 274, 729, 16, 188, 47513, 2697, 276, 25356, 28, 2323, 13191, 301, 1556, 657, 6059, 340, 14, 254, 944, 6092, 6234, 276, 254, 2758, 14, 311, 669, 580, 274, 254, 19502, 286, 1643, 10282, 12352, 9931, 276, 2963, 16, 5066, 276, 2857, 544, 507, 446, 16394, 626, 403, 254, 2758, 434, 763, 2135, 6092, 33503, 9931, 14, 46659, 258, 286, 610, 435, 1198, 657, 6059, 340, 16, 4801, 603, 368, 513, 417, 18074, 282, 8745, 14, 368, 476, 6761, 248, 16649, 8820, 16, 188, 1368, 2468, 563, 282, 25356, 1269, 39024, 323, 1421, 5272, 294, 532, 669, 444, 263, 84, 8991, 314, 67, 11842, 39160, 581, 1495, 6685, 655, 43324, 3143, 11295, 16, 1268, 669, 688, 26578, 85, 747, 4137, 27375, 1320, 438, 294, 14, 9611, 25084, 1320, 438, 294, 390, 688, 642, 14797, 276, 248, 655, 43324, 3143, 39262, 16, 380, 944, 8307, 26578, 14, 2228, 14, 311, 323, 12491, 34144, 71, 14, 248, 13962, 14797, 343, 1035, 693, 303, 24479, 16, 731, 434, 248, 14797, 327, 368, 1996, 8994, 390, 2314, 16, 310, 11380, 2314, 353, 3, 188, 2148, 16832, 323, 1421, 5272, 294, 286, 10227, 28491, 32466, 14, 387, 18111, 394, 664, 3172, 437, 14, 387, 2583, 19749, 34268, 14, 343, 254, 5534, 323, 1421, 5272, 294, 286, 254, 3834, 14014, 21771, 387, 27209, 1923, 1234, 12582, 14, 3233, 603, 254, 8364, 311, 1157, 324, 17741, 633, 2653, 276, 254, 5230, 32677, 14, 276, 2323, 13191, 301, 1556, 1264, 1366, 87, 14, 830, 254, 3236, 15991, 7417, 597, 343, 5732, 36210, 14, 532, 669, 276, 254, 3921, 318, 262, 2253, 12582, 343, 695, 669, 5230, 19064, 16, 188, 34834, 830, 282, 5324, 633, 8350, 14, 40459, 854, 7956, 311, 254, 944, 8307, 39262, 276, 254, 2758, 16, 1286, 368, 4370, 1594, 343, 1637, 23580, 14, 580, 274, 618, 29648, 311, 254, 40459, 854, 323, 41789, 286, 254, 5072, 3642, 24694, 26235, 16, 1286, 368, 961, 282, 751, 1919, 432, 254, 10334, 655, 43324, 3143, 34878, 14, 310, 1754, 254, 655, 2473, 82, 2375, 14, 533, 669, 555, 1247, 33888, 16, 188, 6128, 2849, 286, 1545, 4684, 282, 751, 3542, 276, 254, 2758, 324, 248, 1205, 16, 496, 25356, 14, 512, 28900, 403, 1525, 7618, 4047, 14, 4355, 368, 476, 8117, 254, 2560, 14069, 2758, 3925, 328, 3071, 16, 1268, 1002, 603, 368, 403, 11549, 274, 7618, 14, 254, 2758, 434, 1321, 4472, 311, 580, 274, 695, 1640, 276, 254, 1499, 16, 188, 2432, 403, 1125, 9898, 14, 7100, 328, 254, 2501, 368, 961, 282, 6761, 16, 188, 1212, 11473, 276, 254, 5230, 286, 4829, 10625, 654, 14074, 706, 22713, 932, 14, 2734, 254, 6023, 4516, 16, 188, 1982, 368, 403, 624, 274, 248, 3064, 294, 1479, 14, 411, 4743, 1781, 3124, 18459, 294, 25356, 311, 248, 1062, 1157, 4188, 16, 0, 18389, 4240, 4539, 26940, 6241, 6284, 311, 248, 771, 15646, 2072, 276, 2795, 285, 379, 14, 20937, 16, 188, 18389, 4240, 4539, 26940, 6241, 6284, 10234, 758, 771, 15646, 14, 343, 8398, 10875, 16955, 416, 466, 352, 13157, 9176, 10557, 311, 4301, 276, 338, 19, 18, 719, 394, 13829, 4117, 14, 2795, 285, 379, 14, 3605, 22787, 20937, 607, 26, 23, 21, 23, 16, 1180, 6053, 14, 1305, 14, 2320, 33690, 14, 286, 843, 282, 321, 272, 25686, 14, 254, 1640, 1026, 282, 751, 276, 5028, 311, 939, 3778, 28, 1583, 1162, 1635, 16, 188, 1130, 555, 643, 6324, 1544, 1140, 1718, 14268, 2194, 3184, 28265, 14, 286, 272, 7760, 11466, 274, 370, 18, 282 ]
[ 1, 16, 826, 20585, 286, 29618, 9306, 13979, 520, 3055, 18755, 286, 254, 5192, 282, 6020, 951, 899, 254, 9287, 1205, 345, 311, 328, 3798, 16, 24881, 7183, 282, 7254, 254, 13303, 274, 24727, 3327, 14, 8011, 23063, 16802, 15433, 555, 248, 3616, 327, 11209, 9118, 869, 9022, 67, 286, 10727, 23707, 16, 188, 27088, 4654, 11837, 1625, 2714, 2721, 268, 457, 19062, 324, 254, 801, 671, 14, 7529, 3673, 7858, 343, 14, 769, 23471, 345, 457, 85, 1652, 248, 1247, 12856, 11288, 4186, 13818, 561, 343, 520, 2722, 3732, 282, 18187, 34814, 15777, 328, 1887, 15, 297, 1114, 2362, 254, 20280, 29, 1572, 268, 457, 85, 3364, 1438, 1006, 41596, 34223, 555, 643, 25969, 324, 1181, 274, 520, 2251, 16, 188, 3269, 687, 848, 3812, 1090, 457, 2705, 276, 254, 14209, 4351, 14, 436, 374, 27, 802, 15, 741, 512, 15, 84, 9850, 555, 13665, 1125, 5537, 14110, 1648, 28, 13570, 15258, 1295, 14, 28527, 18459, 14, 13424, 30256, 14, 10436, 274, 15905, 1955, 19267, 286, 1012, 13777, 67, 36193, 14, 282, 1390, 248, 1603, 16, 188, 9077, 2658, 248, 2472, 1530, 2124, 254, 8690, 274, 47091, 9778, 286, 19760, 5317, 14, 13796, 301, 378, 9332, 81, 555, 867, 2900, 1017, 7269, 286, 2675, 2127, 16, 1997, 248, 1062, 2784, 2289, 345, 3591, 248, 9646, 324, 3327, 286, 348, 24070, 282, 321, 272, 14209, 10374, 16, 188, 34486, 301, 311, 254, 815, 15, 18069, 274, 33407, 45119, 18333, 4021, 16, 2936, 20840, 4179, 348, 254, 14875, 274, 33407, 45119, 12093, 775, 248, 6136, 328, 254, 1162, 338, 5390, 4516, 276, 254, 2504, 14, 890, 24, 16, 19, 19571, 276, 374, 18, 18, 18, 16, 5891, 254, 1090, 14, 13796, 301, 286, 33407, 45119, 555, 2411, 580, 274, 254, 944, 7593, 841, 27625, 276, 254, 24727, 286, 963, 38129, 282, 20074, 5060, 417, 8656, 1688, 16, 2936, 512, 7452, 671, 24372, 328, 5390, 403, 12374, 16571, 1162, 338, 276, 3310, 16791, 16, 188, 12254, 3833, 28330, 587, 321, 12467, 343, 14147, 4358, 297, 15991, 34596, 41408, 286, 14890, 383, 1747, 25076, 250, 16, 188, 1516, 311, 254, 801, 802, 670, 3783, 14583, 6053, 403, 2066, 324, 254, 6612, 12616, 8045, 71, 16, 188, 54, 20678, 7702, 403, 370, 20, 23, 833, 741, 286, 370, 21, 18, 387, 254, 7199, 16, 188, 15253, 12782, 282, 5916, 9812, 14, 338, 269, 16, 79, 16, 188, 7357, 254, 9931, 282, 17137, 328, 254, 12607, 378, 2216, 348, 596, 5288, 314, 395, 8760, 11, 615, 1026, 1051, 254, 3843, 14, 7602, 532, 12991, 14, 282, 615, 2379, 4590, 274, 5916, 9812, 16, 380, 36210, 587, 321, 19299, 286, 10408, 1008, 14, 593, 751, 561, 2318, 282, 3575, 1033, 1361, 16, 188, 988, 777, 1444, 276, 5916, 9812, 286, 321, 13376, 407, 1241, 8435, 16, 1395, 2992, 452, 3327, 19715, 368, 563, 3, 32611, 324, 254, 8139, 47, 11062, 9136, 22540, 343, 763, 5060, 21840, 85, 286, 1241, 1922, 21840, 85, 29, 254, 443, 4125, 18408, 286, 3561, 6240, 5555, 657, 1114, 10701, 512, 254, 3546, 26984, 286, 29770, 23707, 3327, 368, 807, 2378, 961, 29, 286, 254, 11194, 22540, 3844, 7195, 19101, 343, 13777, 67, 3327, 4405, 407, 763, 5060, 21840, 85, 286, 1241, 1922, 21840, 85, 16, 188, 17965, 250, 455, 13829, 311, 254, 1619, 282, 321, 324, 29856, 1318, 457, 85, 1640, 1922, 32466, 348, 374, 25, 23943, 3831, 368, 1962, 431, 3359, 16491, 16, 188, 7542, 324, 29856, 1318, 2038, 344, 943, 6313, 387, 254, 41507, 274, 254, 8735, 343, 1247, 2497, 286, 248, 6015, 274, 743, 33813, 14, 5444, 407, 2042, 20973, 14491, 16, 188, 6545, 368, 4558, 324, 32113, 2326, 33, 0, 1130, 369, 272, 2318, 1242, 670, 310, 28393, 282, 36307, 44934, 20363, 14, 19363, 2139, 16, 188, 510, 3998, 18745, 742, 343, 272, 2410, 7591, 16, 380, 29876, 17516, 539, 1538, 348, 254, 3284, 274, 254, 1364, 2537, 1090, 497, 28145, 713, 13936, 2819, 16, 310, 5447, 11949, 282, 254, 2086, 286, 5926, 272, 3070, 24094, 47838, 16, 731, 369, 248, 10986, 282, 8367, 4221, 324, 10986, 14, 1041, 3899, 11967, 286, 11586, 254, 29876, 282, 23788, 615, 13331, 16, 188, 510, 1515, 274, 254, 3998, 369, 7871, 869, 254, 763, 10244, 10781, 5802, 16, 839, 5309, 25441, 5645, 432, 4945, 254, 29876, 573, 1218, 835, 40052, 45398, 328, 378, 1345, 3891, 35451, 1091, 248, 1839, 310, 457, 79, 2367, 328, 324, 248, 2764, 3070, 24094, 47838, 16, 380, 2086, 7127, 7224, 618, 3899, 835, 4131, 615, 1193, 2629, 274, 618, 378, 1345, 3891, 16, 6123, 11824, 497, 1247, 1091, 5532, 286, 3899, 2269, 6715, 254, 43626, 16, 188, 510, 3998, 7735, 343, 248, 1926, 15002, 276, 254, 30695, 6163, 16, 330, 13123, 1026, 282, 3217, 254, 4010, 282, 248, 2722, 16, 188, 7849, 1339, 563, 282, 6645, 4771, 1203, 885, 324, 30209, 479, 282, 36307, 44934, 16, 310, 573, 248, 31912, 671, 286, 310, 3409, 254, 2086, 852, 1480, 16, 0, 510, 9457, 2124, 9756, 286, 1920, 3575, 687, 555, 1263, 713, 10615, 1323, 687, 254, 2391, 5174, 14, 276, 819, 248, 2187, 4502, 286, 7656, 9094, 254, 1499, 687, 16, 939, 254, 374, 18, 394, 5174, 14, 254, 2843, 274, 254, 15657, 286, 254, 2843, 274, 2072, 5697, 4131, 7332, 286, 19195, 23527, 328, 7014, 451, 18138, 16, 826, 9066, 14451, 1514, 248, 3316, 45392, 274, 436, 8652, 16, 188, 686, 695, 6453, 274, 14860, 30743, 276, 12723, 23488, 3379, 3830, 14, 740, 21973, 21412, 274, 15381, 451, 22868, 311, 6845, 274, 6015, 248, 295, 21727, 319, 274, 3136, 248, 1162, 9565, 1508, 276, 254, 33504, 274, 254, 4932, 327, 254, 1920, 272, 4977, 328, 274, 10724, 311, 6397, 1012, 417, 1525, 254, 1116, 274, 695, 9630, 16, 380, 10251, 3395, 403, 4376, 2969, 248, 8560, 274, 1491, 15, 9919, 6490, 14, 276, 1316, 282, 6015, 248, 8943, 274, 14860, 30743, 327, 434, 1026, 624, 276, 15, 16257, 683, 555, 3661, 643, 1225, 276, 254, 6068, 328, 6092, 5697, 16, 1285, 436, 4500, 14, 1735, 311, 16246, 276, 7223, 7787, 282, 10233, 6206, 668, 254, 2472, 274, 28, 7014, 451, 4273, 276, 5514, 26816, 29, 2913, 1975, 286, 47451, 29, 8790, 268, 1296, 286, 8881, 1963, 2672, 29, 7478 ]
[ 1, 18428, 1735, 3291, 188, 5, 30898, 939, 18428, 188, 1507, 883, 276, 2413, 10, 4874, 10, 7403, 76, 65, 3434, 47757, 188, 187, 87, 16, 2711, 65, 1775, 10, 7403, 76, 65, 3434, 61, 75, 3185, 188, 187, 566, 3719, 2012, 31032, 328, 6398, 76, 2384, 70, 9, 2384, 10, 5318, 13, 75, 1210, 534, 187, 1507, 27672, 276, 1453, 16, 7403, 718, 589, 28, 986, 187, 5, 3915, 7670, 2127, 282, 321, 900, 324, 10087, 376, 2697, 10633, 986, 187, 4388, 5196, 426, 32086, 10, 21, 11, 986, 187, 4388, 5196, 20, 426, 32086, 10, 21, 11, 986, 187, 1507, 883, 276, 2413, 10, 21, 2192, 978, 187, 4388, 5196, 61, 75, 63, 426, 1453, 16, 4388, 5196, 61, 75, 63, 978, 187, 4388, 5196, 20, 61, 75, 63, 426, 9836, 61, 75, 31479, 20, 16, 18, 6703, 187, 5, 2193, 40493, 286, 3899, 561, 282, 1819, 254, 1844, 274, 14403, 11020, 6220, 41, 986, 187, 86, 426, 387, 82, 65, 46874, 16, 8984, 4387, 35726, 1067, 986, 187, 5747, 41, 65, 3039, 16, 6171, 2012, 19, 62, 80, 210, 4420, 407, 10129, 22283, 286, 416, 8337, 62, 80, 331, 287, 2384, 19, 18, 16, 22, 72, 287, 2384, 19, 18, 16, 22, 72, 287, 2384, 19, 18, 16, 22, 72, 62, 80, 9, 2384, 10, 86, 61, 18, 1077, 247, 61, 19, 1077, 247, 61, 20, 26874, 246, 1800, 21357, 254, 6220, 41, 12754, 348, 248, 27728, 12754, 14, 331, 1037, 31949, 187, 5, 43776, 432, 6220, 41, 31899, 1735, 37664, 187, 1507, 883, 276, 2413, 10, 256, 82, 65, 256, 2959, 2192, 978, 187, 69, 1832, 426, 387, 82, 65, 46874, 16, 256, 2959, 61, 75, 1534, 983, 978, 187, 7941, 426, 470, 16, 978, 187, 1507, 480, 276, 2413, 10, 21, 2192, 2573, 187, 15855, 426, 470, 16, 2573, 187, 15855, 426, 815, 264, 61, 76, 63, 428, 247, 61, 76, 63, 2573, 187, 7941, 6892, 14310, 12, 15855, 978, 187, 7941, 426, 7870, 10, 7941, 11, 978, 187, 77, 426, 470, 978, 187, 5880, 930, 2170, 930, 65, 35855, 61, 77, 14, 18, 5064, 2573, 187, 77, 6892, 338, 978, 187, 7941, 65, 35855, 61, 77, 14, 19, 63, 6892, 338, 16, 18, 31949, 187, 5, 1201, 524, 282, 3681, 314, 79, 11310, 6220, 41, 274, 254, 387, 82, 11020, 282, 6336, 11, 986, 187, 87, 65, 455, 16, 35197, 1459, 86, 11, 6703, 187, 5, 21672, 665, 30558, 3265, 986, 187, 1507, 883, 276, 2413, 10, 18, 14, 80, 3294, 2959, 14, 21, 2192, 978, 187, 5, 6581, 254, 8384, 274, 12023, 29, 978, 187, 9257, 426, 32086, 10, 21, 11, 978, 187, 9257, 426, 8857, 21, 16, 256, 2959, 61, 75, 1534, 983, 978, 187, 5, 16913, 608, 254, 31897, 4176, 282, 321, 900, 282, 2055, 10633, 888, 713, 254, 743, 3816, 886, 978, 187, 3554, 426, 32086, 10, 21, 11, 978, 187, 5, 9175, 282, 915, 603, 254, 16103, 3095, 282, 321, 14887, 978, 187, 1507, 480, 276, 2413, 10, 21, 2192, 2573, 187, 339, 8384, 61, 76, 63, 653, 428, 4388, 5196, 20, 61, 76, 5064, 2580, 187, 3554, 61, 76, 63, 426, 9836, 61, 76, 63, 2573, 187, 339, 8384, 61, 76, 63, 2170, 9836, 20, 61, 76, 5064, 2580, 187, 3554, 61, 76, 63, 426, 428, 4388, 5196, 61, 76, 63, 978, 187, 5, 16043, 254, 10633, 274, 254, 16103, 960, 254, 31897, 4176, 978, 187, 21402, 21, 16, 256, 2959, 61, 75, 28, 75, 13, 21, 1534, 35197, 10, 3554, 11, 6703, 187, 5, 6581, 254, 21416, 4176, 282, 8272, 1453, 282, 254, 1252, 986, 187, 52, 14, 391, 973, 70, 426, 9133, 65, 6497, 10, 256, 82, 65, 46874, 16, 28275, 8252, 5550, 1252, 18, 11, 986, 187, 5, 38009, 9133, 4176, 282, 10633, 1525, 11020, 65, 46960, 5278, 37664, 187, 87, 65, 455, 16, 43188, 10, 52, 11, 6703, 187, 5, 6581, 254, 743, 6220, 41, 274, 387, 82, 11020, 282, 889, 324, 743, 12754, 5278, 986, 187, 90, 14, 341, 14, 1164, 426, 387, 82, 65, 46874, 16, 8984, 4387, 35726, 1067, 986, 187, 5, 2706, 743, 12754, 5278, 286, 2475, 254, 34434, 1162, 274, 12336, 276, 4714, 11020, 986, 187, 46874, 65, 46960, 426, 1453, 16, 6946, 3294, 2959, 2012, 373, 1554, 309, 3023, 21, 286, 407, 373, 1110, 2384, 85, 2384, 85, 2384, 85, 338, 18, 16, 18, 9, 2384, 10, 90, 14, 341, 14, 1164, 1210, 210, 187, 5, 1997, 298, 5278, 324, 254, 12336, 1525, 338, 18, 2808, 26675, 85, 274, 254, 4714, 11020, 986, 187, 6198, 65, 13670, 426, 8249, 10, 46874, 65, 46960, 16, 256, 2959, 11, 187, 187, 5, 4629, 274, 254, 1162, 274, 309, 3023, 21, 10633, 1525, 254, 4714, 11020, 5278, 986, 187, 80, 2549, 65, 3039, 16, 6171, 2012, 7, 70, 62, 80, 9, 2384, 10, 4874, 10, 46874, 65, 46960, 16, 38940, 945, 10409, 187, 187, 5, 323, 3186, 254, 1162, 274, 309, 3023, 21, 12023, 210, 6703, 187, 5, 17790, 273, 561, 12754, 3778, 324, 254, 7564, 10633, 274, 309, 3023, 21, 12336, 327, 403, 260, 17, 250, 254, 4714, 11020, 986, 187, 1507, 883, 276, 2413, 10, 18, 14, 6198, 65, 13670, 14, 21, 2192, 978, 187, 373, 65, 6198, 16, 6171, 2012, 7, 70, 342, 684, 2384, 10, 46874, 65, 46960, 16, 256, 2959, 61, 75, 1534, 8896, 1210, 5476, 1800, 323, 3186, 254, 12754, 1162, 274, 254, 7564, 12754, 324, 254, 3841, 309, 3023, 21, 16103, 986, 187, 373, 65, 6198, 16, 6171, 2012, 62, 80, 3291, 188, 188, 373, 65, 6198, 16, 10212, 1067, 188, 5747, 41, 65, 3039, 16, 10212, 1067, 188, 80, 2549, 65, 3039, 16, 10212, 1067, 188, 188, 566, 3719, 2012, 33453, 343, 18428, 1735, 4729, 80, 41601, 282, 11779, 254, 3340, 4227, 26013, 80, 27417, 407, 11671, 561, 1508, 274, 4047, 432, 6220, 41, 1735, 2386, 11, 188, 5, 17790, 273, 561, 4047, 2127, 188, 1507, 883, 276, 2413, 10, 4874, 10, 7941, 65, 35855, 47757, 188, 187, 3321, 65, 3039, 16, 6171, 2012, 7, 19, 18, 16, 21, 72, 2384, 70, 62, 80, 9, 2384, 10, 7941, 65, 35855, 61, 75, 14, 18, 1077, 7941, 65 ]
[ 1, 1354, 282, 48140, 282, 436, 5900, 327, 353, 4765, 17403, 14, 286, 327, 254, 2560, 1499, 3144, 282, 2014, 45734, 282, 436, 13555, 8341, 14, 327, 436, 4765, 254, 13555, 8341, 16, 1638, 248, 948, 14, 750, 6967, 86, 14, 750, 16173, 353, 14, 974, 750, 3155, 254, 1294, 274, 436, 2575, 16, 826, 2575, 555, 643, 14040, 407, 2740, 457, 85, 4525, 16, 3805, 1034, 14, 942, 3155, 668, 610, 1473, 268, 5232, 16, 4801, 603, 327, 311, 3542, 14, 324, 2803, 353, 4417, 353, 286, 750, 3155, 668, 353, 14, 750, 7360, 668, 353, 16, 496, 2936, 12353, 14, 4895, 14, 942, 1582, 7002, 775, 1091, 596, 1339, 452, 1815, 327, 750, 457, 85, 1623, 248, 10010, 1318, 14, 390, 1594, 14, 248, 16414, 14, 390, 688, 3563, 274, 248, 17009, 663, 2427, 457, 86, 2033, 16, 188, 1931, 748, 750, 4025, 14, 1033, 3056, 274, 353, 14, 311, 254, 4932, 16, 5932, 248, 1247, 7561, 933, 3051, 276, 388, 1277, 25575, 14, 3038, 14, 311, 819, 248, 25674, 14, 1247, 25674, 16, 5932, 942, 14, 1002, 603, 596, 3510, 390, 417, 14, 596, 3437, 615, 1579, 14, 615, 47135, 4765, 254, 39839, 324, 254, 942, 663, 3051, 626, 28, 254, 39080, 2411, 1015, 14, 633, 23210, 2411, 1015, 1091, 254, 1767, 311, 593, 15662, 29, 311, 282, 321, 2254, 14, 282, 321, 3428, 14, 282, 321, 7002, 16, 1223, 1062, 7786, 942, 756, 476, 321, 5522, 276, 819, 4902, 16, 4539, 2211, 14, 626, 807, 321, 1062, 2978, 942, 669, 14, 663, 4678, 514, 775, 14, 532, 254, 7146, 274, 254, 10542, 43645, 819, 22974, 282, 327, 1619, 663, 403, 7786, 16, 188, 1368, 476, 915, 432, 2936, 24610, 327, 750, 369, 8611, 44853, 16, 750, 3155, 254, 6093, 14, 750, 573, 254, 6093, 16, 750, 9795, 747, 248, 636, 343, 3316, 6093, 16, 750, 573, 641, 5382, 1045, 14, 555, 641, 23834, 16, 750, 811, 749, 14, 2714, 1516, 311, 1438, 282, 4955, 15491, 286, 14, 747, 248, 1247, 26311, 1091, 327, 750, 3155, 327, 580, 555, 282, 3694, 254, 2226, 17943, 14, 580, 555, 282, 3694, 756, 3524, 3133, 16, 380, 14161, 555, 282, 3694, 512, 254, 671, 254, 2563, 16, 1223, 327, 457, 85, 843, 750, 9795, 14, 7360, 14, 4025, 348, 248, 26311, 650, 513, 14, 974, 750, 2956, 254, 3694, 670, 750, 369, 5522, 14, 4150, 1090, 888, 16, 188, 1843, 282, 3086, 14, 750, 457, 85, 1062, 1247, 14, 974, 750, 749, 512, 836, 1789, 29, 750, 5320, 254, 3798, 324, 31517, 22073, 42300, 16, 4772, 750, 4025, 512, 836, 1789, 14, 360, 476, 1309, 327, 436, 369, 512, 749, 16, 4772, 1910, 14551, 403, 819, 14, 5569, 286, 1863, 353, 311, 749, 1063, 14, 596, 403, 417, 1438, 282, 7816, 14, 596, 457, 619, 1602, 14, 2714, 5213, 311, 254, 3681, 324, 748, 368, 403, 3853, 28170, 1395, 452, 282, 1862, 3681, 324, 3148, 14, 368, 915, 1091, 5745, 311, 3427, 14, 2474, 282, 729, 14, 311, 5831, 459, 14, 353, 311, 254, 1364, 3056, 16, 12033, 254, 1926, 311, 3737, 276, 665, 21693, 1581, 14, 2427, 457, 86, 2563, 14, 532, 353, 457, 85, 3737, 2102, 16, 731, 457, 85, 819, 248, 1247, 2115, 750, 457, 85, 2152, 14, 532, 750, 457, 85, 417, 2152, 353, 324, 665, 2080, 6179, 14, 390, 324, 665, 23140, 14, 390, 2626, 327, 311, 2155, 1235, 3359, 14, 532, 750, 457, 85, 2152, 353, 324, 1594, 327, 311, 1062, 22526, 16, 1223, 327, 311, 254, 45272, 274, 1910, 14551, 16, 188, 2686, 311, 615, 1250, 4065, 14, 327, 311, 254, 3520, 274, 254, 14161, 16, 1993, 2906, 2468, 1663, 432, 248, 636, 663, 457, 85, 248, 4924, 1923, 14, 663, 311, 248, 17761, 1061, 7512, 14, 663, 2427, 457, 86, 865, 830, 345, 9320, 14, 663, 457, 85, 13110, 14, 663, 311, 248, 17014, 472, 390, 663, 311, 272, 31644, 14, 3563, 274, 248, 4634, 1068, 390, 248, 10010, 4281, 14, 2468, 3, 1223, 353, 2468, 1663, 432, 272, 22342, 10936, 636, 663, 10831, 417, 980, 274, 2900, 14, 248, 636, 663, 35416, 2489, 14, 663, 11220, 276, 685, 29601, 642, 4203, 286, 1438, 282, 642, 4203, 286, 4697, 729, 14, 286, 563, 282, 1495, 2342, 286, 4697, 729, 14, 417, 432, 819, 942, 16, 731, 3144, 432, 248, 1408, 663, 5887, 254, 1294, 14, 254, 8597, 328, 533, 345, 457, 85, 5522, 14, 254, 12096, 1294, 274, 327, 2575, 14, 417, 254, 2080, 1294, 16, 188, 1843, 750, 311, 593, 15662, 14, 593, 15662, 29, 1033, 3056, 311, 593, 15662, 14, 327, 353, 457, 85, 747, 248, 47495, 14, 353, 457, 85, 747, 248, 47495, 16, 1395, 403, 23663, 23250, 974, 819, 248, 1247, 17009, 369, 5522, 276, 436, 2504, 16, 1223, 14, 19715, 310, 563, 14, 276, 2666, 2868, 274, 28561, 14, 387, 1824, 276, 580, 21403, 310, 1845, 3624, 14683, 16, 188, 1304, 555, 4634, 713, 1247, 2429, 14, 811, 747, 4597, 395, 2569, 67, 14, 1495, 1247, 17009, 276, 5267, 14, 663, 369, 5522, 6582, 274, 1090, 888, 16, 1268, 282, 8738, 327, 436, 2504, 311, 254, 2710, 274, 254, 10056, 14, 286, 1045, 254, 17403, 311, 1438, 282, 321, 14, 12106, 807, 452, 1815, 4150, 1090, 888, 248, 2115, 747, 327, 14, 353, 457, 85, 14724, 2602, 16, 4801, 10215, 1090, 888, 14, 12106, 807, 452, 7002, 353, 14, 1002, 14, 310, 650, 1309, 14, 3460, 1090, 888, 16, 6317, 650, 452, 1815, 436, 636, 311, 1623, 10010, 14, 282, 1052, 436, 348, 254, 13555, 8341, 16, 731, 311, 254, 13555, 8341, 14, 368, 476, 915, 327, 1091, 974, 593, 1125, 942, 452, 1652, 10147, 1296, 276, 436, 2504, 16, 1223, 368, 403, 254, 4254, 663, 5778, 3576, 353, 16, 731, 311, 254, 2710, 16, 21177, 254, 4243, 513, 14, 1826, 977, 390, 3320, 14, 353, 512, 9427, 682, 14, 2101, 596, 1038, 457, 86, 2033, 615, 8075, 14, 974, 596, 1038, 457, 86, 865, 353, 311, 254, 2710, 14, 2710, 274, 254, 10056, 3, 1286, 368, 513, 3320, 14, 512, 977, 28, 254, 2560, 1499, 1042, 327, 1057, 16, 6317, 1141, 14, 327, 2124, 512, 254, 10169, 4203, 14, 368 ]

[ 1, 33264, 10127, 14, 272, 8756, 3941, 327, 20779, 248, 399, 8328, 286, 7275, 254, 4556, 274, 1999, 4, 85, 2949, 16, 188, 1516, 10578, 1503, 6216, 2631, 624, 683, 28035, 688, 6139, 5266, 29, 532, 282, 12317, 387, 248, 5266, 328, 633, 1193, 4279, 248, 2722, 4541, 274, 254, 2115, 3569, 1390, 311, 1129, 2840, 16, 188, 1516, 8302, 254, 3638, 348, 254, 3259, 255, 555, 32085, 254, 269, 407, 4782, 729, 248, 2675, 6916, 593, 254, 269, 14579, 282, 5129, 254, 2675, 10179, 327, 254, 3259, 255, 12299, 29, 1415, 386, 21180, 16, 188, 6630, 251, 5021, 4183, 6457, 670, 580, 311, 276, 248, 3979, 830, 626, 311, 248, 4183, 274, 1129, 23470, 390, 3994, 13781, 5872, 1024, 14, 390, 248, 4563, 274, 2430, 1594, 327, 650, 40595, 6409, 327, 13781, 5021, 16, 188, 4657, 2388, 337, 857, 2308, 3638, 826, 555, 9823, 26682, 324, 254, 857, 2308, 3638, 4764, 850, 7140, 407, 750, 1310, 4465, 9188, 282, 2023, 272, 4541, 286, 8585, 324, 843, 942, 10815, 5827, 282, 615, 1193, 286, 642, 942, 434, 8542, 16, 188, 7345, 772, 5192, 282, 1213, 1460, 311, 3587, 14, 772, 2591, 1499, 3095, 282, 321, 20383, 16, 11941, 45598, 337, 254, 2843, 274, 42940, 3699, 2591, 1499, 311, 1062, 2488, 286, 2926, 9993, 441, 343, 1480, 1181, 1460, 16, 188, 6630, 251, 8880, 774, 1394, 282, 10795, 286, 14348, 286, 2730, 254, 8542, 274, 1093, 663, 2706, 254, 13781, 5021, 286, 669, 1093, 663, 403, 13781, 40471, 16, 188, 1130, 311, 7793, 282, 6916, 7286, 353, 6569, 4279, 4402, 21308, 368, 282, 1663, 1051, 328, 580, 1874, 274, 254, 2443, 16, 24555, 857, 2308, 5541, 2308, 311, 843, 942, 4521, 286, 5353, 18790, 7485, 276, 254, 2591, 1499, 286, 5779, 16, 188, 1368, 872, 282, 1041, 889, 274, 3981, 1460, 8476, 327, 1703, 390, 9152, 16, 496, 436, 2211, 14, 368, 587, 321, 2464, 282, 1041, 889, 274, 6140, 4932, 15, 37073, 324, 8695, 12733, 14, 286, 282, 1041, 889, 274, 254, 1308, 274, 4678, 15, 11351, 282, 3533, 11751, 414, 16, 188, 27008, 2957, 403, 1093, 1350, 20627, 327, 3591, 276, 4661, 830, 641, 2957, 12805, 1063, 16, 188, 35493, 367, 4, 85, 12084, 7713, 247, 569, 274, 1241, 9253, 28, 2028, 944, 7904, 4203, 6604, 13886, 14, 596, 573, 1062, 1330, 28835, 533, 18858, 1612, 4183, 286, 4315, 35368, 274, 3452, 35906, 16, 188, 1934, 7214, 254, 1040, 274, 13781, 5021, 4183, 328, 2949, 276, 248, 1056, 16, 740, 1726, 1162, 274, 7904, 2957, 497, 13286, 713, 12865, 274, 20795, 3954, 14, 3233, 407, 254, 4633, 16, 330, 5786, 274, 5189, 13844, 650, 3624, 688, 274, 254, 2803, 274, 254, 3819, 14, 6094, 843, 353, 311, 4674, 561, 14, 286, 6094, 286, 4780, 3831, 688, 6916, 274, 6938, 324, 286, 1385, 254, 3819, 16, 188, 3474, 1608, 263, 286, 3157, 334, 669, 1102, 327, 328, 6033, 398, 497, 19552, 624, 14548, 670, 254, 269, 573, 2865, 248, 2675, 6916, 432, 254, 3259, 255, 16, 740, 1726, 1162, 274, 7904, 2957, 497, 13286, 713, 12865, 274, 20795, 3954, 14, 3233, 407, 254, 4633, 14, 944, 19259, 276, 254, 1068, 274, 254, 29404, 67, 798, 344, 456, 286, 254, 712, 264, 24800, 2758, 2957, 274, 23098, 14, 254, 12178, 11603, 276, 33613, 14, 254, 443, 7252, 286, 642, 5225, 40530, 5180, 460, 6776, 40008, 276, 34193, 14, 254, 418, 5832, 75, 276, 3904, 1471, 14811, 14, 254, 309, 2076, 3126, 6828, 40008, 14, 286, 254, 4098, 22524, 286, 11706, 832, 81, 24515, 16, 188, 2549, 29993, 7735, 327, 254, 3418, 2464, 5618, 4863, 4, 42940, 274, 1004, 12856, 1479, 16, 826, 4020, 11098, 1910, 5779, 348, 24700, 432, 22482, 390, 6828, 40008, 713, 2957, 939, 248, 25927, 1213, 274, 9016, 327, 14523, 248, 1330, 1361, 19663, 1024, 2522, 5779, 286, 6384, 1316, 939, 3863, 319, 274, 13830, 274, 1575, 16, 188, 35, 5575, 587, 1581, 688, 274, 254, 3487, 390, 3277, 274, 248, 2115, 390, 1213, 390, 2288, 14, 3838, 16, 44023, 4215, 2704, 561, 327, 836, 2533, 403, 9441, 348, 1726, 282, 21924, 276, 33236, 16, 45598, 337, 47880, 750, 1310, 750, 1310, 3949, 248, 3638, 276, 533, 345, 4972, 327, 360, 5103, 282, 4521, 286, 5353, 772, 1193, 8542, 286, 254, 8542, 274, 2489, 407, 32765, 12132, 282, 8542, 16, 188, 17716, 913, 3064, 428, 2464, 282, 2150, 615, 1193, 3418, 45037, 386, 428, 3477, 282, 3541, 3418, 12128, 1451, 3442, 428, 8812, 254, 2099, 913, 2646, 254, 2099, 913, 14, 8223, 2672, 497, 2464, 282, 5789, 254, 9015, 274, 254, 14120, 286, 12080, 1086, 10981, 28, 418, 1486, 890, 22, 749, 327, 2185, 276, 688, 10762, 403, 624, 40052, 45398, 328, 254, 3095, 274, 2489, 2499, 683, 6700, 33913, 16, 188, 43749, 330, 2675, 2443, 3854, 597, 343, 254, 13870, 3638, 311, 4326, 16, 188, 6630, 251, 8880, 403, 2013, 282, 11867, 285, 2857, 251, 8880, 403, 1012, 669, 8888, 282, 321, 248, 20205, 1213, 327, 2435, 1093, 663, 2120, 254, 13781, 5021, 286, 669, 1093, 26289, 841, 254, 13781, 5021, 14, 348, 596, 403, 10648, 4662, 13849, 274, 4153, 286, 390, 2315, 14, 3004, 25866, 843, 942, 765, 4264, 729, 16, 188, 2816, 42151, 286, 39017, 4978, 1240, 368, 807, 889, 324, 13781, 5021, 4183, 33980, 28, 826, 8302, 254, 13870, 3638, 348, 353, 2957, 327, 942, 403, 624, 2692, 282, 825, 248, 2860, 343, 2489, 327, 452, 21924, 29, 248, 15074, 276, 8811, 248, 17593, 2860, 16, 188, 1516, 9664, 311, 22798, 14, 974, 360, 2014, 3983, 282, 31355, 327, 6409, 748, 596, 2780, 668, 248, 1361, 286, 11504, 1093, 31355, 9947, 282, 615, 13017, 16, 39396, 36862, 1186, 330, 1162, 274, 1015, 11494, 14, 4395, 4652, 343, 688, 274, 254, 4719, 1788, 14, 5353, 1350, 4556, 276, 2349, 274, 254, 5442, 274, 9298, 2632, 16, 188, 2976, 15857, 274, 1789, 2353, 4987, 14, 532, 276, 248, 11409, 2211, 836, 403, 3673, 3587, 282, 6938, 286, 4932, 15, 37073, 16, 4978, 12625, 2780, 327, 2025, 5737, 403, 440, 12712, 1008, 286, 327, 1004, 1068, 274, 2318, 1350, 4556, 933, 321, 3994, 328, 695, 1193, 16, 188, 4884, 3545, 18712, 24301, 16, 32609, 14, 5332, 14, 3452, 21871, 14, 286 ]

[ 1, 13643, 13221, 16, 399, 1657, 387, 39668, 311, 248, 3837, 13562, 2705, 343, 944, 23056, 8920, 20824, 34697, 6667, 2969, 5100, 282, 16258, 8102, 16, 188, 28739, 4125, 254, 2537, 3551, 311, 3989, 8298, 15336, 20824, 5150, 12299, 2474, 282, 254, 3483, 1648, 1071, 325, 291, 270, 700, 1514, 14, 41219, 366, 5372, 46187, 14, 4344, 4995, 11490, 286, 4785, 5398, 46187, 16, 188, 24348, 10047, 2292, 248, 3064, 274, 36411, 11003, 17236, 432, 624, 683, 338, 20, 21, 9844, 9889, 27263, 432, 254, 12695, 274, 25373, 12488, 14, 12333, 432, 19575, 771, 3182, 14, 7928, 432, 5525, 16343, 286, 27657, 432, 25986, 16177, 39100, 16, 188, 31884, 46790, 403, 29382, 11395, 343, 14430, 12048, 15336, 6008, 3551, 343, 21879, 314, 1507, 615, 4935, 24031, 11, 533, 403, 41959, 1400, 343, 3901, 5752, 84, 1915, 286, 7154, 44814, 14, 1205, 4935, 14430, 12048, 403, 3598, 71, 773, 265, 343, 841, 1182, 1106, 286, 6864, 46261, 733, 16, 740, 26959, 9844, 2408, 248, 10581, 22488, 15660, 286, 8829, 24516, 554, 14, 13643, 13221, 457, 85, 6081, 8480, 286, 3506, 38035, 16, 188, 38, 1657, 387, 39668, 311, 8429, 343, 22223, 42318, 3844, 7195, 6667, 286, 14696, 362, 3081, 324, 254, 1640, 13801, 6990, 286, 254, 944, 10711, 32466, 16, 13618, 1248, 403, 12495, 286, 626, 311, 9567, 282, 1920, 944, 34557, 286, 5631, 682, 5058, 16, 188, 2432, 311, 2653, 432, 944, 1499, 4203, 286, 14696, 327, 1577, 713, 8735, 276, 254, 5987, 628, 274, 254, 7046, 286, 5732, 5464, 3616, 21999, 624, 7273, 324, 1963, 17058, 390, 10188, 16491, 16, 188, 12759, 570, 10611, 9629, 2653, 432, 254, 5976, 328, 695, 8680, 23288, 21841, 286, 26773, 5444, 1996, 3198, 276, 272, 20738, 4610, 390, 356, 32925, 1884, 328, 248, 7758, 1422, 32677, 16, 380, 2653, 311, 5440, 4311, 286, 3672, 25679, 819, 348, 2424, 9530, 929, 32160, 275, 343, 1299, 40289, 14, 6496, 252, 286, 5337, 4256, 608, 14392, 16, 22893, 286, 8895, 25044, 254, 8680, 286, 254, 8760, 1581, 9993, 688, 6939, 7323, 9629, 362, 564, 1114, 16, 188, 24348, 5961, 593, 1181, 624, 790, 4317, 12352, 286, 17058, 1648, 13643, 13221, 457, 85, 5793, 25795, 16, 2640, 338, 20, 1015, 14186, 6069, 597, 282, 338, 14, 24, 18, 18, 13144, 286, 20932, 327, 13231, 366, 343, 3471, 14, 436, 311, 254, 756, 1619, 830, 368, 476, 1081, 915, 286, 2714, 37823, 457, 254, 6268, 16, 188, 510, 27955, 311, 669, 1683, 282, 272, 6571, 15, 84, 746, 15336, 248, 5099, 3292, 4782, 1591, 19669, 248, 338, 26, 18, 4110, 1806, 274, 254, 34697, 16, 8011, 19669, 2014, 407, 254, 6830, 7362, 1706, 945, 282, 248, 5758, 16, 39668, 669, 3064, 688, 3837, 1887, 4314, 387, 695, 2714, 24989, 276, 254, 15453, 457, 3284, 14, 4892, 1416, 42959, 1648, 6131, 34923, 407, 254, 12695, 274, 20498, 3539, 10877, 16, 27101, 615, 4282, 324, 2057, 31782, 16, 188, 24348, 328, 16449, 8443, 311, 1062, 3364, 282, 3858, 17352, 977, 1788, 254, 610, 28911, 3393, 354, 3025, 4516, 2722, 282, 6226, 15453, 286, 254, 6187, 3844, 7195, 309, 34640, 14, 368, 476, 669, 12317, 2969, 254, 10271, 3844, 7195, 309, 34640, 1643, 286, 407, 248, 29334, 274, 22708, 13220, 282, 610, 28911, 3393, 14228, 16, 17369, 2029, 551, 816, 293, 11775, 311, 2066, 7025, 282, 6612, 14, 3614, 248, 5758, 6761, 276, 4513, 10114, 14, 816, 293, 11775, 311, 18643, 387, 15127, 2514, 3561, 16, 188, 15943, 924, 5419, 1438, 2969, 24120, 282, 5166, 671, 603, 368, 457, 251, 13220, 626, 432, 13643, 13221, 16, 1673, 69, 1297, 463, 8946, 2408, 6676, 332, 6245, 286, 36526, 31320, 14, 1903, 13643, 13221, 7901, 14, 10032, 31987, 286, 1827, 1111, 10337, 5406, 398, 16, 0, 36, 1404, 8211, 81, 354, 505, 6279, 311, 248, 374, 18, 19, 23, 797, 753, 19299, 14069, 24043, 2986, 815, 15, 15284, 1140, 4061, 14, 6646, 407, 4852, 46161, 2009, 7689, 378, 507, 5426, 75, 16, 731, 457, 85, 248, 338, 26, 394, 5174, 2835, 274, 378, 1404, 8211, 81, 14, 4335, 28605, 487, 2213, 14, 286, 20866, 354, 505, 6279, 432, 2233, 34952, 20361, 16, 1997, 327, 671, 378, 1404, 8211, 81, 5587, 348, 367, 15456, 8526, 314, 39534, 8089, 11, 274, 2233, 34952, 20361, 16, 0, 2433, 248, 9508, 2811, 254, 3541, 282, 633, 18796, 5535, 33, 188, 46981, 17669, 9241, 1638, 248, 9508, 2811, 254, 3541, 282, 633, 18796, 5535, 33, 188, 14171, 457, 85, 4903, 3979, 7583, 282, 9535, 8770, 5322, 14, 8649, 407, 9094, 327, 403, 26272, 843, 596, 7798, 343, 6211, 14, 10200, 14, 27294, 286, 615, 1193, 6000, 16, 1678, 14, 15804, 274, 8770, 311, 417, 248, 14822, 1213, 324, 944, 9094, 16, 36735, 747, 10076, 7028, 14, 3860, 7155, 286, 254, 2072, 457, 2025, 39052, 324, 8770, 1563, 1004, 18603, 3095, 282, 9012, 7275, 2623, 5322, 282, 7065, 1385, 615, 4311, 7806, 5535, 16, 188, 5897, 8298, 2660, 311, 282, 1916, 11019, 1444, 248, 9508, 1530, 16, 826, 4343, 254, 2072, 282, 1354, 5585, 274, 1015, 3395, 274, 5322, 324, 1004, 1479, 274, 2497, 1091, 1648, 815, 15, 12091, 14, 7110, 2497, 286, 248, 2413, 274, 8770, 3134, 314, 75, 16, 71, 16, 310, 5616, 53, 14, 3523, 67, 53, 14, 323, 5616, 53, 14, 1321, 8770, 390, 2958, 8770, 481, 188, 1253, 311, 248, 9508, 2811, 33, 188, 35, 9508, 2811, 4343, 368, 282, 24243, 931, 8906, 3134, 407, 15799, 8770, 14, 9676, 286, 5926, 14, 7110, 286, 842, 4201, 5146, 16, 1993, 5146, 476, 835, 321, 14953, 2474, 282, 633, 2072, 457, 3095, 1091, 1648, 931, 286, 2896, 3860, 14, 10007, 14, 4665, 286, 1283, 31145, 16, 188, 7176, 3134, 933, 321, 4136, 1659, 390, 933, 3191, 30203, 1659, 33, 188, 11609, 28, 830, 403, 633, 3134, 2961, 944, 33, 11364, 2504, 14, 11019, 28735, 14, 3860, 14, 11343, 286, 4331, 15, 31338, 15, 92, 2409, 16, 188, 1253, 403, 254, 11458, 552, 286, 2949, 5925, 324, 2624, 3134, 33, 188, 1253, 2497, 1245, 286, 1305, 5925, 513, 368, 452, 33, 188, 6545, 3571, 286, 5322, 4558, 33, 1395, 774, 872, 282, 1852, 2462, 282, 6324, 2632, 14, 16175, 14, 10040, 286, 7306, 1296, 16, 188, 1253, 311, 254, 10076, 2035 ]

[ 1, 188, 2360, 5568, 38, 7649, 13701, 3043, 10, 26739, 27478, 34072, 250, 14, 12761, 3043, 2192, 477, 1530, 426, 5959, 551, 13701, 477, 4759, 426, 11865, 1554, 1358, 684, 2668, 1358, 684, 8645, 1358, 684, 18699, 3291, 477, 7444, 65, 1554, 426, 684, 1855, 65, 5015, 551, 65, 8645, 16, 2880, 9, 1465, 804, 751, 65, 8653, 65, 2137, 10, 1262, 14, 1375, 35436, 2192, 647, 3514, 426, 2155, 10, 9147, 3043, 14, 1827, 481, 784, 65, 8653, 65, 2137, 28704, 35436, 11, 647, 3514, 4862, 325, 2184, 459, 5868, 426, 36814, 16, 25099, 16, 784, 10, 926, 1390, 31, 1262, 16, 35436, 4862, 325, 2184, 459, 22673, 647, 1076, 3514, 1465, 804, 825, 65, 7019, 10, 1262, 14, 825, 2192, 647, 15425, 426, 36814, 16, 25099, 16, 784, 10, 1554, 31, 1262, 16, 35436, 4862, 325, 2184, 459, 22673, 647, 25992, 65, 8645, 426, 5959, 551, 13701, 10, 926, 1390, 31, 629, 16, 15985, 265, 65, 2137, 4862, 1554, 15993, 926, 3407, 31, 629, 16, 15985, 265, 65, 2137, 4862, 2668, 15993, 926, 5690, 31, 629, 16, 15985, 265, 65, 2137, 4862, 8645, 15993, 926, 7866, 31, 629, 16, 15985, 265, 65, 2137, 4862, 18699, 15993, 926, 15425, 31, 325, 2184, 459, 14, 647, 2312, 647, 25992, 65, 8645, 16, 14837, 1067, 647, 1076, 23192, 9351, 48047, 10, 1262, 16, 784, 65, 12222, 65, 6262, 6472, 1465, 804, 825, 65, 24527, 10, 1262, 14, 825, 2192, 647, 3270, 10, 629, 16, 22128, 11, 647, 1076, 23192, 9351, 48047, 10, 1262, 16, 784, 65, 12222, 65, 6262, 6472, 1465, 804, 751, 65, 12222, 65, 6262, 10, 1262, 2192, 647, 1076, 7893, 2012, 325, 2184, 459, 28, 18699, 65, 325, 2184, 459, 65, 5015, 551, 1358, 16990, 12702, 9923, 1262, 16, 35436, 4862, 18699, 15993, 1827, 16, 35436, 4862, 325, 2184, 459, 46005, 188, 0, 5, 8064, 314, 69, 11, 374, 18, 19, 22, 407, 444, 717, 455, 758, 34347, 12786, 3733, 2349, 188, 5, 2066, 328, 3817, 1333, 2614, 16, 25606, 16, 2000, 17, 16652, 17, 357, 446, 16, 2880, 188, 188, 5, 34347, 28, 12786, 3733, 188, 5, 2410, 28, 2955, 258, 35524, 737, 75, 188, 188, 3933, 278, 583, 16, 7209, 27695, 16, 7209, 1510, 1369, 12293, 18176, 188, 3933, 278, 583, 16, 7209, 27695, 16, 11806, 1510, 1369, 21244, 18176, 188, 3933, 278, 583, 16, 7209, 27695, 16, 14928, 1089, 1510, 1369, 314, 477, 1834, 7231, 32673, 1089, 18176, 14, 477, 2862, 5814, 32673, 1089, 18176, 11, 188, 3933, 278, 583, 16, 7209, 27695, 16, 25109, 1510, 1369, 46398, 18176, 188, 3933, 278, 583, 16, 7209, 27695, 16, 7833, 1510, 1369, 314, 477, 10789, 5780, 18176, 14, 477, 7859, 5780, 18176, 11, 188, 3933, 278, 583, 16, 5912, 1153, 14241, 2649, 319, 16, 21259, 16, 7209, 1510, 65, 12937, 1369, 314, 477, 1213, 65, 27695, 11, 188, 3933, 40378, 317, 16, 6271, 1369, 17131, 262, 494, 6863, 188, 188, 3933, 954, 1234, 10656, 16840, 1369, 314, 477, 25774, 37, 9955, 5780, 14, 477, 1676, 718, 37, 9955, 5780, 14, 477, 15303, 759, 37, 9955, 5780, 11, 188, 188, 3933, 25362, 1369, 791, 534, 188, 34, 7209, 65, 27695, 10, 1554, 5313, 27859, 322, 1064, 2184, 2236, 3221, 1358, 2498, 2570, 5313, 27859, 322, 1064, 2184, 2236, 3221, 3291, 188, 2360, 29965, 5780, 3987, 3221, 10, 12564, 18176, 14, 17131, 262, 494, 6863, 2192, 1465, 6945, 12560, 426, 684, 7260, 9, 477, 311, 2773, 8860, 426, 11475, 1465, 804, 4623, 4338, 21257, 1262, 14, 1375, 35436, 2192, 647, 2155, 10, 37, 9955, 5780, 3987, 3221, 14, 1827, 481, 870, 4338, 21257, 424, 35436, 11, 647, 1827, 16, 5401, 426, 791, 2012, 37, 9955, 2288, 45548, 3291, 647, 1827, 16, 9742, 426, 791, 2012, 37, 9955, 2288, 45548, 3291, 1465, 804, 791, 4338, 65, 27695, 10, 1262, 2192, 647, 1827, 16, 3079, 29890, 10, 1003, 1242, 426, 10789, 5780, 18176, 5550, 1003, 22531, 426, 2862, 5814, 32673, 1089, 18176, 5550, 1003, 12566, 426, 21244, 18176, 10, 8653, 85, 20258, 13526, 37, 9955, 5780, 1077, 28881, 5575, 31, 65, 1551, 13526, 254, 8698, 2288, 8154, 28881, 3929, 31, 65, 1551, 13526, 8154, 28881, 2315, 31, 5296, 581, 1003, 11686, 426, 21244, 18176, 10, 8653, 85, 20258, 1737, 718, 37, 9955, 5780, 1077, 28881, 5575, 31, 65, 1551, 1737, 718, 254, 8698, 2288, 8154, 28881, 3929, 31, 65, 1551, 1737, 718, 8154, 28881, 2315, 31, 5296, 581, 1003, 15025, 426, 21244, 18176, 10, 8653, 85, 20258, 23786, 759, 37, 9955, 5780, 1077, 28881, 5575, 31, 65, 1551, 23786, 759, 254, 8698, 2288, 8154, 28881, 3929, 31, 65, 1551, 23786, 759, 8154, 28881, 2315, 31, 5296, 581, 1003, 23325, 426, 1834, 7231, 32673, 1089, 18176, 5550, 1003, 980, 426, 7859, 5780, 18176, 5550, 647, 2312, 647, 1827, 16, 3079, 6018, 4291, 10, 1003, 46398, 18176, 2012, 5318, 1358, 684, 7945, 11162, 1003, 46398, 18176, 2012, 7945, 1358, 684, 47843, 11162, 1003, 46398, 18176, 2012, 47843, 1358, 684, 901, 11162, 1003, 46398, 18176, 2012, 7945, 1358, 684, 46402, 11162, 1003, 46398, 18176, 2012, 46402, 1358, 684, 901, 11162, 1003, 46398, 18176, 2012, 7945, 1358, 684, 15145, 11162, 1003, 46398, 18176, 2012, 15145, 1358, 684, 901, 11162, 1003, 46398, 18176, 2012, 901, 1358, 684, 423, 11162, 647, 2312, 188, 0, 5, 43384, 12088, 28, 38931, 15, 26, 43384, 188, 22191, 22191, 6498, 4993, 188, 5, 342, 6879, 18854, 10557, 5564, 1349, 706, 17790, 188, 5, 342, 8064, 374, 18, 19, 20, 260, 605, 8874, 413, 653, 32097, 8874, 413, 34, 22903, 16, 679, 32, 188, 5, 188, 5, 342, 826, 2024, 311, 1903, 3571, 28, 368, 476, 24692, 353, 286, 17, 264, 9741, 188, 5, 342, 353, 758, 254, 2349, 274, 254, 11641, 9506, 2684, 4078, 5105, 4493, 348, 188, 5, 342, 3737, 407, 254, 7446, 8870, 6625, 14, 1996, 2629, 495, 274, 254, 188, 5, 342, 4493, 14, 390, 314, 256, 633, 4360, 11, 665, 1938, 2629, 16, 188, 5, 188, 5, 342, 826, 2024, 311, 5770, 276, 254, 3409, 327, 353, 587, 321, 4081, 14, 188, 5, 342, 532, 14588, 8867, 22458, 29, 1269, 1002, 254, 10195, 17036, 274, 188, 5, 342, 20242, 390, 19917, 6474, 330, 19783, 19517, 16, 210, 2512, 254, 188, 5 ]

[ 1, 20, 35577, 6297, 252, 7703, 588, 25830, 28, 6107, 39723, 28, 6107, 33403, 28, 6107, 5048, 1884, 38, 6634, 11909, 6145, 16, 42722, 2147, 18536, 39723, 12616, 1258, 85, 2147, 9029, 14933, 6971, 25649, 427, 2026, 22955, 14, 27678, 16, 314, 6609, 338, 24, 14, 374, 18, 19, 26, 11, 2916, 683, 338, 18, 18, 1017, 19584, 8583, 11042, 42722, 2147, 18536, 39723, 12616, 387, 254, 3015, 85, 8228, 9333, 14, 533, 369, 13286, 713, 248, 15438, 17574, 25096, 324, 254, 7046, 3316, 343, 2718, 17529, 14, 7822, 789, 14, 29417, 25267, 14, 31557, 7925, 16579, 7927, 25707, 6044, 42651, 551, 9863, 14, 374, 18, 19, 26, 15, 20, 18, 19, 27, 15, 20, 18, 20, 18, 42651, 3800, 314, 3991, 14, 11947, 14, 7702, 581, 25707, 38591, 314, 5205, 4189, 6087, 1844, 12200, 581, 2207, 14, 3547, 42154, 414, 11727, 2918, 28, 10945, 15, 22443, 3258, 2497, 14, 14209, 286, 8291, 262, 1083, 16, 6321, 5278, 274, 5227, 2918, 286, 15931, 12968, 756, 387, 19206, 37, 578, 8902, 16, 389, 16, 11903, 15513, 286, 13048, 7537, 282, 2374, 772, 7446, 7141, 1471, 7032, 16, 2807, 254, 1026, 14, 324, 1093, 274, 368, 327, 1602, 1826, 254, 1903, 2629, 311, 2013, 282, 254, 1491, 580, 14, 254, 3541, 311, 7925, 1838, 2019, 436, 802, 14, 360, 307, 5597, 607, 23, 1015, 2153, 14, 944, 274, 533, 452, 9258, 324, 254, 13590, 813, 14, 813, 14414, 14, 848, 14, 286, 848, 14414, 16, 9315, 13590, 848, 14414, 7964, 1044, 34688, 28, 15566, 7908, 33790, 42187, 328, 26658, 16, 3497, 939, 836, 1640, 13590, 848, 14414, 22417, 2153, 417, 282, 811, 35953, 1920, 633, 816, 87, 2201, 532, 669, 2023, 254, 2347, 12479, 282, 633, 810, 494, 86, 432, 30005, 14898, 16, 9315, 13590, 1558, 7964, 1044, 34688, 274, 374, 18, 19, 26, 28, 7859, 10463, 46487, 324, 5243, 40156, 19206, 6027, 16, 1691, 310, 11380, 747, 668, 836, 1640, 13590, 1558, 22417, 2153, 403, 13562, 2150, 286, 27829, 4131, 15, 484, 16, 839, 307, 5108, 8088, 274, 2942, 687, 254, 2391, 1603, 1090, 5022, 8088, 274, 13590, 286, 22421, 27263, 282, 1074, 254, 1640, 4254, 324, 368, 16, 1334, 282, 27880, 254, 9315, 7141, 1471, 282, 9956, 31095, 29, 12577, 10147, 21716, 16, 3826, 14, 348, 248, 1903, 24372, 4612, 14, 360, 403, 2056, 327, 368, 28159, 848, 31557, 865, 254, 28159, 848, 31557, 16, 1268, 513, 368, 865, 843, 282, 5053, 254, 1640, 24372, 282, 1115, 286, 3223, 1491, 2501, 16, 496, 254, 6092, 8548, 14, 378, 1376, 1275, 45066, 1028, 11100, 27380, 555, 248, 2196, 3981, 276, 16271, 892, 5422, 372, 12631, 372, 3382, 356, 25096, 2150, 274, 16234, 8247, 5811, 570, 2718, 17529, 10188, 14, 28159, 848, 31557, 1860, 9806, 368, 276, 4419, 254, 4426, 26447, 1460, 324, 633, 31999, 329, 981, 67, 25096, 14, 254, 2193, 41, 15488, 5287, 3290, 4708, 286, 2960, 29475, 285, 2120, 359, 1195, 16541, 34051, 327, 1449, 368, 282, 10724, 327, 24756, 286, 2443, 2072, 15557, 14, 23176, 286, 12605, 5925, 432, 512, 2237, 274, 2142, 16, 380, 21154, 286, 9382, 1361, 721, 11301, 254, 8514, 9496, 27638, 14166, 403, 6930, 2622, 343, 4635, 375, 1419, 31557, 529, 16, 36241, 848, 31557, 274, 254, 30070, 7980, 274, 615, 7423, 16, 8514, 9496, 15, 12144, 12782, 15, 1128, 67, 17067, 14, 6408, 27638, 17778, 14166, 28159, 848, 31557, 8358, 878, 3507, 247, 210, 24065, 210, 136, 220, 279, 210, 134, 239, 465, 480, 210, 135, 222, 299, 210, 24065, 311, 28159, 848, 31557, 2758, 276, 6248, 17766, 27193, 504, 3801, 14, 4851, 14, 1928, 2016, 14, 343, 248, 2974, 274, 4611, 17328, 32781, 25096, 3588, 1285, 254, 374, 18, 19, 18, 20125, 286, 272, 10374, 31557, 8689, 4209, 465, 85, 374, 18, 19, 21, 2974, 274, 338, 18, 24, 14, 25, 26, 18, 16, 7560, 2960, 441, 1012, 16, 839, 403, 5940, 276, 8838, 368, 343, 633, 2133, 16, 473, 8937, 40420, 35932, 14, 3567, 16, 311, 248, 2057, 15, 10337, 8322, 11065, 5715, 343, 9220, 2705, 328, 248, 28159, 848, 31557, 274, 6319, 16, 36241, 848, 31557, 555, 2449, 5537, 28159, 848, 31557, 1544, 23288, 276, 338, 27, 26, 25, 14, 24734, 16774, 1004, 274, 772, 6793, 924, 555, 624, 683, 374, 23, 1090, 274, 2705, 16, 330, 2875, 14, 3684, 2426, 6915, 282, 512, 9588, 294, 719, 8369, 276, 4851, 16, 8939, 16442, 6560, 3678, 7180, 276, 4851, 16, 38825, 485, 248, 16442, 6560, 3678, 276, 36241, 848, 31557, 324, 9315, 10777, 428, 254, 28159, 848, 31557, 6480, 324, 374, 25, 19586, 16, 7446, 399, 5113, 22, 24372, 11366, 16, 2514, 4659, 274, 5039, 25330, 972, 311, 15531, 254, 3373, 274, 248, 3949, 2133, 328, 254, 13435, 16, 428, 16113, 14, 33407, 8398, 848, 18, 19, 26274, 14, 44955, 8514, 9496, 14, 6408, 3237, 374, 19, 14, 374, 18, 19, 24, 428, 367, 12813, 374, 18, 19, 26, 37133, 10754, 36075, 309, 466, 7331, 4441, 15779, 16, 18072, 7859, 9086, 309, 447, 587, 321, 6965, 28159, 848, 31557, 3517, 28, 338, 16, 5431, 43631, 11983, 282, 11983, 374, 16, 5431, 43631, 6701, 9956, 495, 16, 380, 22858, 3379, 3135, 274, 254, 3206, 30200, 6701, 343, 254, 6151, 16221, 14, 757, 1774, 14, 28159, 848, 31557, 12534, 16, 380, 30164, 892, 15, 77, 329, 6556, 2868, 311, 248, 3379, 2099, 2868, 2956, 28159, 848, 31557, 6267, 12931, 85, 3918, 16, 380, 28159, 848, 31557, 311, 3783, 3051, 29417, 25267, 40818, 15290, 407, 25587, 4021, 14965, 663, 9461, 512, 274, 254, 12370, 2779, 3453, 432, 6267, 12931, 85, 9, 12096, 28159, 848, 31557, 14, 32952, 9285, 16, 30200, 22054, 23472, 416, 746, 1903, 31557, 20974, 6013, 16, 380, 30200, 22054, 12594, 391, 746, 311, 4301, 811, 597, 254, 3843, 432, 22923, 3313, 21404, 328, 848, 22, 18, 21491, 283, 3190, 367, 2716, 276, 2004, 4041, 14, 7800, 338, 26, 27, 19, 23, 16, 826, 391, 746, 2471, 311, 890, 18, 1246, 576, 22, 286, 311, 26534, 324, 10578, 3609, 14, 4590, 466, 3609, 286, 495, 328, 495, 25470, 3830, 16, 44123, 3801, 23033, 30200, 276, 19338, 343, 772, 11314, 4704, 15, 27054, 6494, 19287, 368, 282, 9811, 276, 772, 4929, 338, 25, 14, 374, 18, 19 ]

[ 1, 387, 607, 11169, 22700, 1791, 434, 4282, 16, 5066, 915, 729, 328, 19047, 14, 7672, 14, 286, 6567, 16, 0, 34661, 41504, 706, 32648, 374, 16, 23, 22872, 28951, 354, 13525, 7446, 2635, 323, 1137, 265, 411, 981, 354, 2503, 3277, 7020, 248, 16832, 315, 30130, 13457, 1519, 16, 731, 555, 7158, 17336, 12488, 6639, 6762, 343, 20235, 9646, 9034, 14, 6977, 2494, 20541, 19357, 14, 286, 25870, 1773, 16, 44882, 633, 7383, 22785, 41504, 706, 32648, 21916, 14137, 5752, 84, 1915, 282, 2706, 2752, 41975, 16, 22785, 41504, 706, 32648, 374, 16, 23, 22872, 28951, 354, 13525, 7446, 2635, 323, 1137, 265, 411, 981, 8138, 1601, 403, 324, 889, 276, 272, 5473, 21916, 33283, 286, 3603, 248, 45900, 3989, 5752, 4840, 25812, 713, 254, 2257, 4598, 2154, 21563, 16, 1547, 403, 7250, 324, 16867, 248, 31031, 25812, 286, 32177, 10542, 4619, 633, 1683, 16, 28528, 2654, 742, 248, 5158, 286, 818, 353, 282, 633, 7383, 5473, 21916, 33283, 16, 0, 43, 1797, 2865, 4341, 5674, 432, 436, 4341, 1162, 16, 1547, 1038, 625, 3437, 248, 3808, 286, 603, 310, 1052, 888, 353, 14050, 22539, 16, 310, 1328, 328, 254, 3063, 3006, 9120, 8521, 286, 1038, 625, 2780, 310, 933, 321, 2876, 836, 5674, 16, 188, 1516, 1162, 11055, 32563, 479, 286, 835, 13818, 597, 16, 188, 43, 715, 2876, 5845, 10629, 597, 4341, 5674, 432, 254, 1788, 1162, 16, 1997, 2008, 597, 282, 495, 5157, 16, 2028, 310, 1052, 254, 1162, 353, 4424, 440, 40541, 286, 626, 311, 641, 3808, 9259, 282, 4947, 663, 254, 26400, 1209, 2072, 311, 16, 188, 3116, 5939, 24940, 835, 596, 16370, 597, 16, 0, 35, 2065, 390, 593, 555, 4667, 1544, 618, 1364, 5566, 286, 5602, 12102, 3126, 311, 30337, 963, 16, 380, 16902, 4992, 2181, 555, 6159, 14, 348, 852, 254, 5288, 324, 248, 4422, 274, 1842, 14, 353, 555, 1544, 4744, 16, 10944, 22466, 14, 2732, 282, 15460, 2362, 254, 1499, 457, 85, 6081, 12572, 343, 1665, 18803, 14, 311, 747, 2732, 282, 4306, 248, 1096, 343, 1062, 1612, 44333, 276, 254, 10812, 16, 188, 2432, 452, 643, 641, 2135, 8483, 285, 282, 1280, 1544, 10036, 772, 1964, 652, 2872, 4441, 14, 3584, 324, 580, 1330, 14164, 16, 3699, 6574, 11260, 573, 1241, 1612, 13466, 670, 5534, 9945, 2144, 276, 16, 380, 898, 369, 254, 6574, 11260, 286, 512, 22849, 328, 254, 9478, 497, 17108, 742, 16, 712, 13591, 428, 4528, 310, 573, 18647, 7697, 274, 254, 763, 274, 441, 1116, 20760, 254, 5615, 296, 1864, 474, 6400, 16, 17204, 14, 2304, 254, 33534, 369, 14520, 3148, 2350, 888, 282, 2539, 16, 388, 1832, 334, 16, 188, 43, 1815, 368, 774, 321, 5940, 276, 688, 274, 254, 1362, 282, 1362, 4719, 274, 1464, 22281, 324, 254, 2391, 1241, 3498, 16, 11026, 2620, 3906, 348, 1063, 14, 580, 328, 3575, 1205, 254, 642, 3456, 2195, 286, 11685, 25724, 16, 310, 3673, 1242, 13704, 1444, 848, 390, 890, 5055, 286, 3575, 1863, 374, 390, 495, 8885, 835, 30599, 3809, 687, 16, 5650, 274, 441, 1574, 286, 452, 248, 1330, 257, 2295, 81, 2635, 387, 688, 1110, 1285, 254, 1362, 16, 1838, 2019, 328, 3575, 360, 452, 756, 2254, 580, 5464, 14714, 10885, 16, 2003, 457, 85, 353, 16, 1260, 963, 348, 7290, 254, 16427, 360, 3575, 286, 997, 841, 254, 47732, 16, 1260, 254, 5288, 2462, 593, 1042, 254, 15460, 2035, 16, 5066, 360, 872, 282, 1920, 254, 9478, 328, 254, 1449, 1360, 867, 282, 254, 8228, 274, 24095, 5986, 388, 8211, 16, 2028, 254, 5288, 5441, 368, 282, 563, 624, 31108, 379, 315, 436, 311, 248, 3518, 4686, 16, 839, 403, 5651, 772, 1887, 652, 2872, 4441, 327, 1143, 248, 5534, 2967, 282, 3759, 16, 11389, 387, 580, 274, 772, 16869, 2704, 274, 15460, 360, 1311, 8494, 719, 16, 23, 282, 813, 16, 23, 5157, 3278, 16, 839, 403, 5058, 343, 327, 14, 360, 650, 321, 31921, 343, 2103, 14, 532, 18435, 14, 476, 457, 86, 1423, 254, 5288, 16, 188, 31297, 343, 254, 11597, 4417, 248, 6599, 14, 353, 555, 2818, 35690, 278, 12592, 14, 1079, 2177, 14, 11471, 286, 26773, 16637, 16, 11389, 641, 6592, 7078, 14, 533, 2034, 670, 360, 452, 257, 33210, 254, 43552, 247, 9560, 4417, 16, 380, 1364, 274, 254, 5194, 9034, 311, 4634, 14, 11660, 1608, 11660, 1608, 14, 1311, 360, 452, 5194, 15301, 276, 254, 825, 274, 41011, 14, 14014, 14, 37534, 286, 7158, 14014, 16, 2640, 811, 687, 338, 18, 18, 18, 296, 1864, 474, 6400, 282, 563, 360, 476, 457, 86, 17299, 668, 254, 2546, 274, 2653, 16, 839, 1002, 452, 6571, 10494, 276, 254, 37496, 286, 6571, 276, 772, 5157, 10864, 671, 5324, 16, 188, 2231, 5602, 12102, 3126, 311, 417, 248, 5909, 9478, 16, 310, 10011, 417, 248, 5909, 9478, 16, 380, 1241, 642, 19179, 360, 403, 30337, 343, 1447, 282, 563, 7462, 1903, 324, 254, 30337, 14, 5562, 360, 997, 3461, 282, 772, 580, 5324, 1004, 1362, 16, 6107, 436, 650, 452, 643, 248, 3834, 4954, 282, 563, 7462, 1903, 324, 248, 1722, 14, 532, 1663, 328, 14, 670, 368, 756, 452, 1004, 642, 286, 4647, 9945, 286, 8244, 282, 997, 387, 14, 248, 5157, 8760, 390, 46413, 286, 247, 4967, 3809, 328, 248, 7040, 6097, 280, 2705, 16, 188, 19698, 8295, 311, 254, 4829, 28507, 14, 360, 476, 4856, 286, 4615, 16076, 286, 4341, 2426, 328, 248, 5157, 3596, 16, 44872, 282, 254, 1213, 311, 254, 5157, 6013, 274, 254, 8364, 1280, 16, 2640, 248, 2065, 390, 1637, 282, 2323, 10715, 266, 18172, 14, 310, 457, 79, 13488, 282, 1309, 254, 11241, 311, 3686, 597, 282, 695, 16399, 1390, 387, 436, 3798, 16, 731, 457, 85, 1311, 248, 1887, 12572, 286, 2626, 476, 4955, 14, 1311, 360, 403, 417, 16300, 665, 7720, 45371, 390, 2135, 32166, 387, 436, 1110, 16, 23132, 3672, 4221, 286, 7290, 22340, 2636, 16, 1838, 2019, 452, 8812, 48020, 11141, 2858, 338, 374, 706, 495, 14, 380, 10111, 777, 18072, 338, 286, 2666, 6797, 20001, 5959, 551, 2858, 338, 706, 374, 16, 45292, 14925, 311, 1689, 328, 254, 15547, 16, 310, 1872, 310, 933, 24350, 327, 310, 6296, 457, 86, 2486, 8812, 45292, 14925, 593, 353, 311 ]

[ 1, 332, 34495, 1051, 2474, 282, 254, 26003, 867, 407, 254, 2703, 14670, 6787, 16, 188, 6772, 28, 374, 19, 3793, 374, 18, 19, 26, 14, 338, 21, 28, 22, 23, 248, 16, 79, 16, 0, 1675, 5082, 15, 50, 1878, 43623, 4203, 403, 4144, 254, 1026, 276, 1491, 16151, 5299, 14, 3089, 338, 22, 13596, 276, 254, 1708, 374, 18, 4442, 22136, 2362, 254, 20280, 16, 1822, 532, 580, 274, 254, 1708, 338, 18, 403, 11334, 4203, 16, 188, 35, 6297, 551, 309, 33554, 6453, 432, 444, 4141, 5461, 25416, 254, 1491, 3278, 15818, 2490, 276, 10223, 15, 32857, 587, 407, 374, 16, 25, 2476, 276, 374, 18, 19, 27, 1091, 327, 457, 85, 624, 683, 3893, 254, 4022, 3278, 274, 338, 16, 20, 2476, 16, 188, 30717, 26239, 254, 1499, 30817, 343, 6000, 16455, 282, 4615, 248, 607, 16, 19, 2476, 2490, 276, 1491, 15818, 687, 254, 1689, 338, 20, 2524, 16, 188, 46706, 6120, 311, 248, 2722, 1250, 343, 272, 3159, 5884, 274, 576, 16, 27, 2476, 14, 3444, 407, 22611, 343, 576, 16, 20, 2476, 16, 188, 22094, 314, 22, 16, 19, 2476, 581, 22451, 314, 22, 16, 19, 2476, 581, 28276, 314, 21, 16, 27, 2476, 581, 40342, 314, 21, 16, 22, 2476, 581, 23437, 30498, 314, 21, 16, 20, 2476, 581, 3561, 9476, 314, 20, 16, 25, 2476, 581, 286, 23043, 314, 20, 16, 25, 2476, 11, 3665, 561, 254, 1708, 338, 18, 16, 188, 3530, 2019, 3108, 311, 28741, 11334, 14245, 16396, 343, 248, 5884, 274, 374, 16, 24, 2476, 16, 444, 4141, 749, 16396, 507, 587, 915, 615, 24818, 31333, 2490, 407, 1694, 2476, 276, 374, 18, 19, 27, 532, 14, 841, 2715, 273, 276, 15196, 533, 254, 5461, 4064, 12393, 10696, 25416, 282, 321, 338, 16, 22, 2476, 1689, 802, 14, 6000, 587, 915, 248, 1491, 15818, 2490, 274, 374, 16, 24, 2476, 16, 188, 46986, 11241, 5480, 254, 1026, 276, 15818, 2490, 324, 248, 1162, 274, 4462, 14, 254, 801, 1129, 254, 1162, 274, 6507, 26972, 276, 254, 2829, 16, 1993, 587, 3713, 452, 1017, 4009, 274, 15196, 14, 1851, 248, 7369, 15, 252, 1040, 328, 31333, 14, 11118, 444, 4141, 5461, 19231, 9701, 324, 10223, 14, 8426, 3172, 1326, 16, 188, 1590, 2943, 4273, 403, 19122, 942, 596, 872, 282, 1041, 2056, 387, 254, 1062, 1824, 596, 1920, 13494, 343, 15196, 14, 532, 368, 669, 961, 282, 5256, 276, 1491, 2349, 6000, 403, 6349, 272, 2490, 276, 615, 31333, 1756, 3172, 1326, 2117, 11334, 39837, 291, 16, 188, 686, 4203, 343, 1017, 4903, 3017, 1091, 944, 274, 1093, 343, 254, 4442, 3017, 20708, 403, 4301, 276, 10223, 11241, 1091, 254, 5429, 2961, 282, 12918, 12464, 669, 16721, 16, 188, 1590, 15331, 254, 948, 626, 311, 248, 2187, 274, 7131, 324, 942, 276, 836, 8369, 14, 4273, 452, 282, 3831, 4791, 1017, 31333, 282, 1081, 6255, 5655, 286, 12918, 615, 5210, 4602, 1756, 3172, 1326, 749, 16, 188, 1931, 1205, 3017, 311, 9121, 2362, 254, 2829, 14, 626, 403, 688, 4203, 3569, 2490, 311, 30943, 16, 16396, 311, 580, 274, 729, 663, 311, 1051, 470, 16, 21, 2476, 432, 615, 374, 16, 27, 2476, 2490, 436, 802, 16, 188, 17062, 696, 570, 669, 31890, 254, 8823, 286, 14, 1205, 31333, 403, 1311, 3159, 282, 1709, 14, 254, 2210, 387, 533, 596, 513, 311, 30943, 16, 188, 39, 4141, 25416, 18085, 2380, 1856, 457, 86, 915, 348, 248, 1017, 2210, 274, 2490, 276, 615, 1491, 37326, 276, 374, 18, 19, 27, 348, 596, 852, 436, 802, 16, 380, 13753, 2470, 5962, 6282, 14, 533, 2950, 248, 3316, 44761, 274, 254, 2142, 14, 4130, 4273, 282, 5129, 248, 624, 30646, 21871, 328, 2072, 7270, 286, 15818, 289, 13591, 16, 188, 6004, 3564, 19266, 348, 282, 254, 743, 2142, 457, 85, 7617, 286, 3758, 311, 7602, 1129, 6604, 14, 436, 11333, 343, 1633, 282, 23043, 457, 85, 4903, 2949, 311, 2692, 282, 3906, 713, 374, 18, 19, 27, 14, 3172, 1326, 749, 16, 188, 1590, 2686, 543, 779, 5962, 63, 573, 272, 3373, 328, 254, 6795, 14, 436, 2142, 4476, 282, 321, 624, 270, 2777, 594, 39083, 683, 254, 1985, 9209, 14, 286, 327, 9941, 939, 282, 1125, 18118, 1129, 248, 1612, 2298, 624, 8572, 759, 343, 2657, 282, 4903, 21413, 14, 286, 348, 819, 14, 596, 457, 251, 417, 16300, 11466, 3017, 286, 324, 15807, 282, 321, 348, 1157, 276, 374, 18, 19, 27, 348, 353, 369, 254, 1985, 802, 1756, 3172, 1326, 11118, 16, 188, 7979, 15536, 2715, 282, 272, 8539, 4903, 2949, 369, 254, 5757, 276, 4032, 7702, 14, 533, 587, 452, 248, 7369, 15, 252, 1040, 328, 15818, 289, 13591, 276, 254, 4351, 14, 348, 963, 348, 15196, 3159, 282, 321, 2330, 1899, 282, 254, 33600, 2697, 274, 254, 6901, 85, 286, 9241, 13291, 314, 41, 1244, 481, 188, 1931, 353, 457, 85, 2019, 432, 43651, 286, 41854, 14, 31333, 403, 1438, 276, 254, 977, 3758, 2362, 254, 2829, 533, 271, 3077, 963, 324, 254, 2764, 21413, 324, 10223, 11241, 16, 188, 510, 5215, 274, 1017, 15818, 5299, 403, 417, 811, 11042, 328, 272, 1999, 3596, 532, 10209, 283, 1051, 713, 13815, 5779, 14, 1949, 33803, 4203, 713, 254, 4617, 15, 286, 1017, 15, 20056, 23537, 274, 2363, 16, 188, 39253, 6414, 8456, 28, 1638, 27603, 1472, 4558, 324, 8189, 33, 188, 6696, 2177, 343, 1157, 1491, 5851, 5299, 476, 1847, 282, 915, 248, 5884, 276, 8132, 2237, 14, 3172, 1326, 749, 16, 826, 12915, 248, 2504, 282, 2055, 1919, 432, 695, 21421, 328, 26300, 286, 23447, 14, 286, 2142, 1305, 16, 188, 1516, 476, 321, 39124, 12557, 348, 353, 12915, 248, 2504, 282, 8364, 254, 9640, 603, 626, 311, 665, 2135, 4903, 390, 3452, 13623, 14, 1851, 254, 3621, 282, 1041, 597, 24254, 276, 580, 8548, 407, 4999, 4211, 597, 1495, 282, 10088, 254, 7588, 16, 1260, 3172, 1326, 12173, 353, 14, 353, 10238, 769, 23194, 3821, 666, 282, 248, 2504, 457, 85, 6795, 16, 188, 3269, 2330, 15, 20056, 4203, 14, 819, 348, 15296, 286, 40342, 14, 3159, 282, 915, 1017, 4903, 3017, 14, 286, 624, 4095, 26972, 747, 16396, 286, 13643, 13221, 6503, 282, 12918, 12464, 14, 10223, 11241, 311 ]

[ 1, 2705, 2815, 282, 254, 1963, 286, 3011, 18286, 4752, 314, 20439, 14, 4584, 14, 5719, 282, 3011, 286, 3011, 2289, 481, 1678, 14, 1963, 2672, 274, 1338, 343, 688, 18381, 314, 33222, 1336, 1033, 495, 1230, 19, 22, 1168, 10730, 11, 2287, 2330, 7168, 2352, 343, 1963, 2672, 274, 1081, 1062, 7766, 286, 3781, 1338, 314, 2798, 5116, 576, 481, 826, 2967, 369, 1500, 1525, 254, 745, 7330, 19536, 1460, 314, 82, 1168, 30, 1168, 18, 16, 18, 23, 481, 10067, 7346, 2815, 282, 254, 3011, 457, 85, 19536, 6988, 11987, 248, 2330, 12852, 276, 1963, 2672, 274, 1338, 663, 2865, 1303, 15, 19021, 1013, 19536, 16, 1993, 3784, 497, 1500, 1525, 254, 745, 40469, 19536, 1460, 314, 82, 1168, 30, 1168, 18, 16, 18, 23, 11, 286, 9876, 314, 82, 1168, 30, 1168, 18, 16, 18, 19, 481, 188, 1516, 1240, 311, 14, 282, 254, 1640, 274, 772, 3520, 14, 254, 801, 14443, 1240, 282, 8117, 1963, 2672, 274, 5300, 45583, 1338, 2705, 343, 1738, 1521, 3134, 4619, 254, 1338, 457, 276, 15, 31462, 7719, 1521, 286, 19536, 16, 380, 1240, 1102, 327, 1963, 2672, 497, 4440, 9781, 343, 254, 276, 15, 31462, 1521, 2449, 16, 330, 1755, 2705, 343, 944, 7589, 274, 254, 3011, 457, 85, 1521, 276, 254, 7719, 3298, 369, 1102, 2352, 343, 254, 19536, 3298, 16222, 254, 9876, 3298, 6432, 254, 8830, 8227, 324, 254, 1963, 2672, 16, 188, 686, 436, 1240, 14, 944, 1963, 2672, 497, 5186, 286, 22643, 324, 248, 4935, 3011, 16, 7667, 554, 15, 530, 2476, 497, 6841, 17, 5738, 44586, 386, 343, 254, 3011, 14, 5562, 2674, 576, 21, 7, 369, 254, 1338, 457, 2796, 16, 826, 311, 276, 8726, 343, 642, 2109, 7465, 1081, 1963, 2672, 286, 1338, 343, 5300, 45583, 543, 20, 23, 1230, 20, 25, 1534, 188, 510, 4440, 12852, 343, 1914, 14, 1521, 286, 19536, 274, 254, 3011, 369, 1017, 2124, 254, 4869, 274, 1963, 2672, 16, 380, 1963, 2672, 497, 669, 4440, 9781, 343, 843, 596, 497, 3994, 3622, 1285, 254, 4531, 3191, 16, 1993, 1508, 403, 5032, 343, 2006, 642, 2109, 17492, 4440, 12852, 343, 1738, 1521, 543, 26, 14, 374, 26, 14, 374, 27, 1534, 330, 1017, 12852, 4717, 311, 417, 7723, 248, 13893, 14876, 274, 254, 2705, 343, 1738, 1521, 974, 12852, 2109, 403, 2692, 282, 321, 1637, 7786, 282, 2107, 3133, 276, 254, 3184, 274, 1738, 1521, 954, 731, 933, 321, 7281, 327, 436, 311, 417, 248, 3273, 1240, 286, 327, 1963, 2672, 756, 5357, 1521, 324, 248, 4957, 274, 254, 1914, 29, 2926, 14, 596, 403, 756, 7691, 24401, 14, 286, 615, 8227, 774, 417, 7723, 4736, 254, 1972, 3184, 274, 254, 1738, 1521, 2449, 16, 188, 35, 2917, 2103, 4717, 2815, 282, 1521, 1285, 254, 7719, 3298, 497, 2287, 14, 7603, 327, 1963, 2672, 573, 944, 2675, 8227, 343, 254, 1521, 2449, 276, 254, 7719, 7605, 16, 330, 1841, 8585, 324, 436, 2967, 774, 321, 327, 348, 254, 3011, 9470, 432, 7719, 1521, 282, 276, 15, 14900, 19536, 14, 254, 2683, 2462, 432, 5623, 282, 1034, 15, 3818, 6282, 954, 22519, 343, 254, 5176, 276, 2683, 14, 1285, 254, 19536, 3298, 14, 254, 3615, 1580, 311, 31588, 14, 19536, 19454, 452, 10890, 4602, 5146, 286, 626, 311, 1637, 390, 641, 3248, 872, 274, 19816, 6326, 324, 8441, 254, 3011, 16, 826, 774, 669, 5353, 2075, 254, 1963, 2672, 7212, 1637, 1815, 16393, 286, 1521, 324, 254, 3011, 1285, 19536, 2352, 282, 254, 3191, 276, 254, 7719, 7605, 16, 3201, 14, 836, 1508, 513, 417, 7723, 1563, 327, 1914, 311, 29478, 276, 254, 19536, 3298, 16, 1664, 774, 321, 2006, 4462, 2075, 1963, 2672, 9751, 327, 4602, 14053, 286, 1914, 5661, 3073, 282, 1142, 1755, 276, 254, 7719, 7605, 2352, 343, 254, 19536, 7605, 16, 188, 35, 17754, 1240, 432, 19743, 17695, 9715, 1338, 2705, 343, 254, 19536, 7605, 8405, 327, 254, 3011, 7212, 1129, 248, 628, 274, 254, 19536, 3015, 14, 532, 688, 274, 615, 17268, 2705, 1129, 8266, 10162, 954, 3714, 14, 1732, 2565, 5128, 1145, 356, 16, 8405, 688, 274, 254, 17268, 2705, 348, 417, 1129, 1635, 3609, 282, 23052, 343, 254, 3011, 390, 12570, 328, 843, 282, 12114, 390, 22552, 254, 9715, 36154, 282, 3812, 9811, 841, 9876, 954, 3996, 42877, 2214, 1565, 286, 4590, 4610, 403, 20747, 2983, 276, 295, 14275, 6538, 1914, 14, 254, 889, 274, 8319, 3609, 286, 9347, 311, 1637, 3591, 276, 436, 4610, 683, 1285, 7719, 1521, 543, 21, 19, 14, 495, 20, 1534, 188, 510, 5342, 432, 7719, 282, 19536, 19454, 555, 3661, 1953, 282, 2759, 10127, 2124, 1963, 2672, 954, 11392, 452, 669, 2287, 248, 3367, 274, 1460, 276, 254, 19536, 3298, 4850, 254, 2517, 274, 254, 19536, 286, 254, 3373, 274, 248, 5300, 45583, 543, 19, 22, 14, 338, 23, 1534, 399, 847, 77, 1145, 356, 16, 7830, 282, 254, 3367, 274, 1460, 286, 5833, 348, 580, 274, 254, 1964, 7674, 324, 1963, 2672, 348, 1338, 2055, 432, 254, 24482, 282, 254, 6377, 45311, 19454, 390, 432, 254, 6377, 45311, 7605, 282, 19536, 954, 11752, 2672, 774, 452, 44658, 12308, 2815, 282, 1081, 254, 5900, 274, 946, 597, 286, 7552, 274, 254, 1338, 457, 5011, 286, 9444, 7552, 16, 1260, 272, 1726, 628, 274, 19536, 311, 282, 17065, 286, 6023, 254, 3011, 324, 254, 4590, 274, 7170, 1346, 14, 436, 1460, 933, 321, 1635, 282, 254, 1963, 2672, 2006, 2008, 1285, 254, 276, 15, 31462, 3191, 16, 188, 1853, 4709, 276, 1495, 1240, 14, 35306, 5703, 286, 1338, 668, 615, 3453, 314, 1701, 12858, 2591, 3134, 14, 6329, 14, 47117, 5429, 11, 1285, 248, 13753, 1464, 2288, 311, 4395, 21768, 954, 496, 254, 1225, 1240, 14, 576, 18, 7, 274, 254, 1963, 2672, 2287, 327, 596, 1996, 852, 417, 4615, 436, 1460, 387, 512, 390, 2865, 756, 248, 1330, 2332, 274, 353, 16, 8918, 14, 719, 18, 7, 2287, 327, 615, 4903, 3095, 497, 417, 2584, 1521, 274, 16, 2514, 24922, 1240, 452, 14448, 254, 12852, 286, 2705, 274, 1338, 390, 17268, 1648, 248, 1897, 4850, 254, 4531, 8946, 954, 3602, 2287, 248, 1157, 12852, 343, 254, 4531, 8946, 16, 380, 1963, 2672, 276, 254, 1225, 1240, 1102, 254, 8946, 324 ]

[ 1, 11979, 2731, 19251, 16, 15263, 14, 254, 23196, 555, 353, 512, 14, 367, 1757, 14, 254, 4142, 252, 401, 35863, 286, 254, 34539, 274, 13797, 1232, 16, 7644, 1837, 282, 6982, 1851, 593, 1125, 3483, 276, 580, 23196, 16, 310, 5565, 310, 807, 1193, 512, 274, 254, 367, 19, 37030, 14, 532, 618, 4335, 650, 5006, 479, 16, 188, 50, 19, 4799, 248, 714, 11955, 14009, 324, 248, 14726, 47509, 23196, 14, 1495, 2572, 10259, 5158, 3, 3239, 25621, 536, 830, 434, 1673, 4981, 21729, 188, 43, 476, 625, 3236, 324, 254, 2057, 10044, 274, 19004, 29521, 16, 188, 41159, 11792, 14117, 47480, 14, 852, 368, 1041, 248, 2752, 888, 1618, 33, 2003, 434, 3837, 4344, 16, 1334, 852, 368, 513, 353, 14, 286, 748, 2169, 274, 2080, 311, 327, 33, 188, 1843, 4606, 14, 310, 5041, 254, 2377, 3432, 625, 3834, 14, 532, 353, 434, 2722, 3, 11800, 19, 7754, 452, 615, 1193, 347, 4676, 4, 1181, 747, 330, 4151, 452, 615, 1193, 347, 4676, 3333, 12809, 310, 5565, 4273, 650, 811, 889, 9562, 5486, 434, 3616, 14, 419, 3123, 14, 532, 310, 452, 282, 1309, 4440, 14, 310, 1328, 1623, 13488, 343, 436, 5158, 16, 188, 23471, 14, 2314, 633, 10377, 286, 5246, 1480, 15404, 42595, 14724, 14, 286, 4344, 327, 368, 452, 775, 328, 3046, 16, 310, 1038, 625, 865, 748, 282, 513, 343, 7280, 977, 1012, 22654, 16, 188, 2433, 327, 272, 310, 413, 67, 367, 981, 18657, 33, 19091, 311, 977, 532, 310, 1038, 625, 1141, 596, 5416, 12971, 5099, 10723, 16, 188, 1130, 311, 254, 310, 413, 67, 7800, 58, 16, 310, 852, 248, 2187, 274, 2752, 785, 282, 353, 16, 9027, 328, 248, 743, 888, 5212, 14, 27807, 254, 28993, 286, 2790, 338, 17, 22, 15964, 38916, 10723, 16, 731, 369, 790, 14, 883, 650, 5419, 436, 282, 3655, 14306, 282, 3046, 11800, 338, 37030, 16, 3730, 434, 811, 248, 4422, 274, 38913, 432, 254, 1916, 16, 188, 17041, 5167, 16, 10078, 368, 2752, 1041, 254, 10723, 33, 188, 2686, 311, 12745, 19109, 472, 8799, 5001, 3, 12596, 599, 2152, 426, 481, 310, 5565, 310, 573, 1093, 6750, 3, 188, 2432, 434, 643, 688, 743, 714, 37553, 254, 1364, 1603, 3498, 3, 188, 43, 476, 625, 751, 687, 843, 2019, 561, 596, 10302, 37030, 16, 1664, 403, 338, 20, 328, 3046, 532, 360, 1797, 756, 12407, 254, 801, 580, 16, 188, 7849, 324, 16452, 836, 14, 34945, 3, 1547, 1441, 512, 12745, 286, 4214, 688, 274, 254, 1640, 37030, 327, 452, 2378, 643, 4061, 324, 378, 398, 9068, 16, 731, 434, 3233, 30130, 282, 915, 819, 1839, 9726, 286, 2017, 7884, 841, 1090, 274, 45161, 1925, 10299, 286, 17481, 2082, 9117, 432, 330, 4151, 16, 188, 2686, 1129, 749, 310, 1339, 5041, 343, 6870, 37094, 16, 1997, 436, 1110, 353, 434, 1837, 282, 865, 1826, 836, 403, 811, 3735, 8880, 390, 587, 6350, 1663, 282, 2703, 314, 395, 603, 593, 14, 670, 481, 0, 510, 2537, 1056, 286, 2363, 330, 21, 23, 18, 15, 27, 18, 18, 85, 2263, 282, 254, 36150, 324, 248, 4556, 8404, 276, 4257, 374, 18, 19, 22, 14, 9487, 2292, 512, 274, 254, 9690, 900, 324, 5867, 12739, 457, 5384, 4403, 4144, 282, 20960, 274, 436, 6151, 5867, 12739, 4474, 2825, 11402, 40266, 16, 5867, 12739, 2980, 282, 10456, 615, 16899, 41309, 407, 11733, 607, 20798, 743, 5867, 18960, 495, 23, 18, 85, 2292, 16, 7644, 324, 254, 801, 671, 327, 15388, 956, 20199, 497, 900, 282, 1041, 32994, 16, 1395, 6327, 2314, 436, 3379, 324, 254, 7028, 286, 10360, 274, 436, 8418, 3379, 16, 0, 14987, 248, 1017, 3184, 8195, 327, 5961, 1656, 23520, 319, 3340, 286, 5862, 8444, 1767, 1171, 7065, 248, 5032, 13713, 3003, 16, 380, 38241, 555, 3055, 3189, 2462, 286, 3684, 2080, 1252, 3068, 327, 25962, 2501, 286, 671, 16, 731, 555, 248, 30231, 9927, 390, 16963, 8444, 21463, 248, 4474, 5081, 274, 20511, 16, 25140, 276, 8198, 8131, 14, 16160, 8131, 14, 367, 646, 8131, 14, 286, 8571, 8131, 16, 188, 34887, 28108, 7086, 665, 18534, 975, 16, 3523, 1228, 343, 443, 19, 23, 17, 41, 22, 18, 13713, 11621, 14, 254, 7410, 47134, 3901, 8195, 11819, 403, 4024, 282, 3054, 17539, 14, 4646, 4665, 14, 2330, 14429, 286, 2023, 5032, 14, 1017, 3184, 29143, 324, 512, 274, 633, 17395, 4742, 16, 731, 5961, 1656, 23520, 319, 3340, 286, 5862, 8444, 1767, 1171, 13713, 3003, 16, 380, 3364, 282, 25482, 2150, 4343, 324, 3684, 3189, 2462, 286, 3652, 15038, 10123, 16, 7410, 47134, 5961, 248, 495, 18, 18, 2868, 30231, 9927, 8444, 4987, 3290, 1034, 21037, 33791, 16, 188, 4336, 1276, 282, 22237, 6555, 286, 3184, 14, 1205, 8270, 5408, 18157, 16, 380, 17330, 11899, 1862, 254, 13713, 255, 254, 3621, 282, 2917, 6706, 254, 13713, 3003, 1269, 6707, 254, 8857, 16, 826, 5490, 311, 4024, 282, 4646, 4440, 2042, 274, 12498, 286, 4024, 324, 248, 5081, 274, 15038, 390, 1773, 15, 3066, 4605, 328, 5372, 286, 4995, 4742, 16, 188, 4336, 1276, 282, 7065, 18178, 43918, 2949, 286, 2859, 368, 1441, 6752, 286, 5408, 7155, 16, 380, 9703, 4873, 286, 27213, 2150, 21633, 13713, 2949, 16, 10046, 6534, 2150, 14, 1656, 9379, 3377, 286, 20997, 21574, 5846, 2023, 4718, 5408, 5787, 16, 25140, 276, 37133, 12654, 14, 17369, 6060, 14, 286, 42585, 16, 188, 988, 404, 1391, 9927, 4156, 16, 496, 10528, 512, 254, 3202, 5493, 324, 13713, 5490, 9115, 16, 5596, 27087, 282, 5053, 432, 14, 12209, 286, 37133, 12654, 16, 188, 7639, 1052, 324, 624, 1460, 286, 642, 13713, 3462, 327, 403, 5740, 16, 0, 40, 608, 25861, 11746, 3567, 25460, 496, 443, 37959, 1673, 47273, 8771, 1254, 1967, 6871, 26085, 2278, 52, 1176, 49, 15234, 20706, 7604, 49, 2856, 443, 5319, 49, 655, 309, 1878, 22928, 22, 19, 444, 8267, 607, 374, 338, 18, 20, 22, 90, 25, 24, 26, 3384, 401, 608, 25861, 11746, 3567, 25460, 496, 443, 37959, 311, 580, 274, 7758, 254, 86, 403, 2815, 343, 254, 5246, 1063, 276, 254, 4698, 19147, 16, 1286, 368, 650, 747, 282, 915, 254, 401, 608, 25861, 11746, 3567, 25460, 496, 443, 37959, 1673, 47273, 8771, 1254, 1967, 6871, 26085, 2278 ]

[ 1, 276, 436, 2378, 15, 1155, 11611, 1499, 286, 11758, 2703, 14, 436, 311, 580, 8788, 327, 587, 1582, 1767, 16, 188, 7658, 8543, 525, 777, 8832, 41458, 14, 15723, 324, 248, 1903, 2150, 20549, 16, 23366, 258, 8543, 525, 777, 476, 321, 4774, 387, 576, 24, 21, 15, 25, 24, 25, 22, 896, 390, 407, 4436, 387, 279, 549, 525, 777, 7704, 34, 25316, 16, 2929, 16, 9720, 3415, 274, 615, 785, 328, 615, 26176, 4282, 14, 8061, 16, 47, 17940, 15, 4722, 16, 679, 16, 0, 18029, 749, 327, 14, 4832, 597, 248, 4242, 12173, 248, 2187, 274, 8033, 328, 688, 274, 254, 4156, 14, 3233, 254, 1575, 6015, 286, 254, 1837, 4306, 314, 27566, 368, 457, 307, 1143, 254, 5080, 26141, 2341, 399, 37960, 481, 1223, 14, 5938, 633, 4242, 328, 2034, 353, 457, 85, 4558, 324, 7950, 889, 16, 188, 35, 1157, 17709, 774, 321, 282, 811, 867, 633, 27067, 282, 1577, 742, 841, 338, 18, 2819, 14, 390, 811, 1577, 729, 742, 13174, 1063, 368, 1450, 1683, 16, 31250, 633, 5414, 282, 4456, 390, 289, 36768, 403, 669, 1157, 4466, 282, 5166, 688, 1575, 16222, 7362, 254, 4242, 276, 248, 1350, 327, 587, 1545, 353, 282, 11454, 597, 4400, 670, 368, 872, 282, 889, 353, 959, 16, 188, 29350, 24499, 28, 6100, 7999, 12471, 6839, 282, 14377, 33, 0, 41, 19738, 26786, 24784, 369, 248, 6901, 3417, 24371, 47352, 264, 274, 254, 42630, 9960, 12304, 324, 11909, 3511, 515, 280, 314, 37, 22, 11, 457, 85, 22876, 3904, 8628, 12304, 328, 4929, 374, 19, 14, 374, 18, 19, 25, 387, 254, 9596, 5044, 276, 11722, 1601, 5998, 14, 14839, 16, 3779, 35869, 26786, 14, 7109, 274, 17442, 26786, 24784, 14, 749, 436, 7847, 369, 769, 483, 6739, 343, 254, 2365, 282, 1767, 843, 772, 3015, 15930, 254, 3095, 274, 1093, 944, 276, 872, 1397, 380, 12434, 3373, 274, 254, 7847, 332, 37960, 282, 3217, 10827, 8660, 2292, 282, 8194, 2488, 2591, 3133, 1205, 5983, 272, 12083, 2362, 254, 18903, 343, 1321, 14, 18241, 14, 1303, 850, 25151, 14, 9094, 14, 2142, 286, 11823, 8660, 16, 380, 763, 17486, 497, 6098, 27248, 635, 14, 14794, 286, 8925, 6251, 274, 28923, 6225, 1312, 286, 27972, 444, 16, 444, 24573, 14, 4252, 16, 47, 896, 17194, 20219, 264, 274, 367, 511, 81, 28958, 5935, 16, 12304, 5212, 1322, 2818, 8176, 1337, 23274, 14, 6284, 1318, 4272, 338, 14, 3124, 274, 11722, 1601, 5998, 14, 17064, 267, 19261, 14, 7109, 274, 416, 5003, 3124, 31244, 11754, 14, 30208, 427, 9370, 5272, 14, 9701, 274, 11909, 9494, 14, 3561, 5153, 3220, 47939, 6240, 14, 18965, 8470, 14, 7320, 29390, 14, 4117, 2123, 11909, 6240, 286, 27355, 12908, 14, 9701, 274, 25823, 286, 11909, 9494, 14, 3124, 274, 11722, 1601, 5998, 16, 0, 15253, 568, 28, 9175, 561, 618, 17389, 25995, 6051, 1045, 16, 188, 5652, 11455, 35267, 14, 330, 16, 706, 22893, 1234, 250, 14, 354, 16, 1729, 1172, 2562, 18624, 274, 1427, 3525, 39834, 29998, 655, 1083, 16, 188, 5652, 11455, 35267, 14, 330, 896, 13480, 14, 331, 896, 13304, 308, 442, 14, 323, 896, 706, 5629, 460, 14, 331, 16, 29569, 728, 18624, 274, 7813, 3729, 570, 30281, 6677, 276, 11321, 16, 188, 5652, 11455, 35267, 14, 330, 896, 22893, 1234, 250, 14, 354, 896, 28031, 14, 354, 896, 388, 608, 14, 309, 16, 286, 23274, 14, 610, 16, 314, 20, 18, 19, 23, 481, 39177, 283, 67, 448, 6184, 87, 20332, 16066, 314, 11226, 406, 1337, 19846, 2192, 740, 1596, 282, 254, 41380, 274, 254, 1928, 2016, 286, 248, 2667, 18081, 274, 254, 3307, 16, 8872, 274, 254, 27484, 267, 474, 5329, 6342, 274, 5942, 14, 890, 10, 19, 581, 338, 26, 25, 15, 19, 27, 22, 16, 188, 5652, 11455, 35267, 14, 330, 16, 314, 20, 18, 19, 23, 481, 9763, 282, 39177, 283, 67, 16, 496, 28, 30491, 78, 14, 416, 16, 44, 896, 323, 16, 37, 16, 46501, 14, 367, 16, 18343, 14, 411, 16, 44, 16, 3479, 262, 560, 14, 500, 16, 52, 16, 8241, 266, 14, 367, 16, 27344, 2139, 14, 418, 16, 45, 16, 6631, 84, 506, 14, 331, 16, 418, 16, 19414, 14, 378, 16, 35, 16, 6041, 14, 331, 16, 39, 16, 53, 16, 10978, 14, 416, 16, 35, 16, 16188, 14, 500, 16, 36, 16, 15710, 14, 286, 418, 16, 39, 16, 20921, 16, 2795, 6292, 274, 16872, 28, 37316, 286, 3545, 27757, 16, 2795, 6292, 16872, 3567, 896, 38867, 14, 16872, 16, 188, 5652, 11455, 35267, 14, 330, 16, 314, 20, 18, 19, 22, 481, 8530, 15, 7354, 1657, 8240, 29998, 362, 1083, 274, 16872, 28, 272, 17865, 274, 39177, 283, 67, 24349, 3707, 67, 286, 39177, 283, 67, 30815, 3777, 33617, 314, 11226, 406, 1337, 19846, 481, 16872, 17679, 20670, 18164, 14, 338, 28, 24, 25, 15, 25, 27, 16, 188, 5652, 11455, 35267, 14, 330, 16, 706, 39872, 14, 418, 16, 314, 20, 18, 19, 22, 481, 473, 6784, 3928, 1951, 1482, 5423, 304, 560, 403, 32247, 15688, 3, 11816, 40297, 570, 14, 254, 16872, 17679, 20670, 8054, 6145, 14720, 16, 188, 5652, 11455, 35267, 14, 330, 16, 1395, 403, 254, 6311, 28, 40255, 324, 14826, 633, 2479, 286, 25829, 668, 5692, 16, 16872, 2341, 2421, 14, 27484, 1256, 36339, 15738, 16788, 16, 11389, 7575, 14, 16872, 16, 4297, 374, 24, 14, 374, 18, 19, 26, 16, 188, 5652, 15080, 460, 14, 331, 896, 2948, 35267, 14, 330, 896, 21201, 2139, 14, 500, 896, 500, 13887, 15, 1031, 12321, 14, 310, 896, 13990, 1318, 14, 310, 19430, 286, 20940, 1625, 14, 367, 16, 6100, 13214, 91, 10515, 254, 2165, 282, 4541, 18501, 975, 15856, 276, 9679, 7930, 267, 361, 33, 8829, 27193, 26514, 11526, 314, 54, 11906, 481, 21445, 14, 11321, 16, 4257, 374, 20, 14, 374, 18, 19, 26, 16, 188, 5652, 13480, 14, 331, 5849, 14, 13304, 308, 442, 14, 323, 896, 2948, 35267, 14, 330, 14, 286, 5629, 460, 14, 331, 16, 19765, 274, 23645, 29092, 41302, 1509, 262, 314, 34660, 19846, 11, 276, 11321, 286, 254, 2365, 3373, 274, 18447, 29402, 20603, 28, 12265, 7120, 16, 8829, 27193, 26514, 11526, 314, 54, 11906, 481, 21445 ]

[ 1, 6151, 22409, 6858, 286, 633, 11514, 3568, 603, 368, 1797, 2102, 2709, 353, 16, 188, 14590, 23233, 324, 642, 2347, 13151, 390, 5062, 16, 188, 510, 11152, 20805, 403, 954, 6963, 14, 954, 6963, 90, 14, 954, 9030, 286, 314, 1507, 254, 3378, 274, 633, 30077, 286, 30077, 7315, 11, 954, 11064, 390, 954, 41103, 16, 5650, 1819, 476, 321, 248, 4718, 274, 338, 18, 14831, 16, 0, 48, 792, 359, 39144, 10864, 407, 2900, 1033, 1362, 16, 188, 43, 476, 625, 785, 324, 368, 16, 188, 37, 15687, 11473, 41155, 974, 353, 369, 1200, 1657, 16, 188, 20672, 573, 520, 4249, 266, 20249, 276, 272, 4290, 2084, 9723, 16, 188, 43, 811, 2790, 688, 20327, 282, 254, 22147, 16, 188, 52, 1404, 47949, 5325, 254, 3383, 248, 9122, 282, 1315, 276, 248, 2298, 274, 5194, 2257, 16, 188, 50, 263, 1377, 285, 2464, 43942, 286, 616, 3732, 324, 1336, 16, 188, 1031, 6764, 16173, 27032, 650, 3437, 16, 188, 2432, 403, 688, 4139, 282, 6689, 561, 16, 188, 1212, 1038, 625, 865, 830, 22666, 311, 1012, 16, 188, 510, 17635, 8577, 20042, 282, 6448, 16, 188, 22089, 6307, 286, 31045, 749, 596, 497, 11549, 16, 188, 43, 2464, 729, 417, 282, 687, 21628, 16, 188, 14644, 20571, 1845, 4313, 276, 254, 10305, 1349, 11164, 1063, 345, 21821, 597, 16, 188, 1130, 434, 2508, 327, 25533, 3432, 625, 2486, 27229, 16, 188, 8234, 5809, 317, 5226, 15702, 15703, 580, 6026, 14, 772, 2485, 3542, 248, 2187, 274, 2501, 16, 188, 1253, 513, 368, 1141, 6297, 2034, 33, 188, 7703, 13929, 311, 1015, 432, 642, 8071, 16, 188, 4177, 84, 16011, 520, 1450, 14, 6870, 47356, 2464, 14, 347, 11460, 368, 2254, 327, 34592, 327, 369, 328, 254, 8373, 14, 473, 1556, 33, 731, 434, 2169, 274, 1726, 449, 347, 3885, 14, 310, 12862, 327, 22805, 1919, 1364, 2065, 14, 42639, 928, 30282, 9750, 742, 4464, 14951, 16, 188, 47, 42792, 3542, 520, 4335, 4941, 1090, 3502, 16, 188, 53, 6190, 518, 4168, 348, 248, 9475, 286, 16781, 16, 188, 7676, 6438, 7728, 14, 16968, 8377, 24619, 390, 500, 23063, 33, 188, 44, 263, 47949, 311, 417, 1157, 387, 4864, 668, 520, 13639, 16, 188, 43, 1038, 625, 961, 368, 282, 11454, 775, 597, 16, 188, 1212, 1856, 625, 321, 2041, 282, 1336, 6714, 4730, 16, 188, 23575, 256, 12695, 4221, 4243, 6068, 16, 188, 43, 2035, 282, 1970, 5518, 37368, 748, 4448, 16, 188, 43, 1328, 6829, 310, 8290, 21265, 4470, 16, 188, 23376, 16264, 569, 749, 345, 1817, 513, 520, 30950, 1063, 8725, 16, 188, 2275, 472, 286, 12081, 403, 4731, 8143, 276, 254, 1689, 2244, 16, 188, 38, 2726, 311, 2367, 328, 248, 743, 4358, 16, 188, 56, 382, 7316, 27657, 1480, 1181, 7122, 16, 188, 510, 4663, 2020, 3432, 625, 3103, 276, 254, 7621, 16, 188, 45, 7491, 1102, 520, 19998, 434, 1668, 25992, 14, 533, 345, 2144, 2362, 841, 616, 2393, 14, 20369, 4221, 16, 188, 3916, 368, 961, 479, 282, 2241, 282, 427, 4039, 25267, 668, 327, 33, 188, 23451, 753, 311, 248, 1247, 12017, 16, 188, 35192, 466, 311, 3061, 561, 10399, 343, 688, 274, 520, 3732, 16, 0, 1853, 5234, 276, 272, 4182, 5156, 1470, 626, 403, 2006, 4466, 2066, 282, 751, 633, 3379, 2244, 2632, 286, 43571, 324, 10243, 2292, 314, 2798, 1985, 1470, 481, 10770, 310, 747, 282, 3624, 1495, 4360, 324, 3379, 2244, 2632, 286, 43571, 324, 10243, 28, 4117, 906, 1224, 29820, 9241, 314, 29276, 28, 4117, 11, 5961, 1495, 4360, 28, 380, 4117, 15976, 29123, 41282, 16, 188, 15062, 311, 2485, 343, 695, 1450, 34118, 4301, 48169, 14, 19587, 14, 4953, 16, 731, 555, 248, 4022, 32044, 19122, 5352, 338, 19, 16, 18, 18, 18, 942, 276, 2194, 5770, 276, 1015, 4203, 286, 1499, 4661, 28, 254, 1928, 2016, 14, 5974, 14, 2963, 14, 254, 10240, 5626, 14, 10223, 11241, 286, 12408, 3840, 16, 314, 15062, 34516, 11, 4117, 311, 248, 6480, 324, 22719, 5616, 53, 314, 2370, 1224, 20858, 348, 248, 6454, 11, 348, 4618, 407, 443, 435, 1198, 314, 18057, 1775, 2076, 602, 14, 443, 435, 1198, 354, 51, 22719, 5616, 53, 374, 18, 19, 24, 481, 4117, 10482, 403, 23422, 328, 254, 12811, 4726, 51, 314, 43782, 12703, 481, 188, 1253, 807, 353, 7948, 282, 633, 15657, 3379, 14053, 33, 188, 510, 4117, 15976, 29123, 41282, 314, 11486, 41, 11, 311, 248, 8770, 2497, 260, 469, 22683, 43571, 324, 10243, 15214, 14, 43571, 324, 10243, 14, 418, 6488, 374, 18, 19, 21, 14, 418, 6488, 374, 18, 19, 18, 286, 388, 16, 21, 20, 21, 17, 53, 3023, 3379, 28897, 16, 380, 20179, 41, 11920, 748, 311, 3435, 276, 1162, 17, 53, 3023, 15, 19611, 286, 14634, 254, 1052, 282, 254, 4426, 11768, 1209, 20594, 16, 14674, 327, 23950, 13850, 17, 1634, 2130, 403, 11204, 603, 3202, 327, 3379, 5351, 286, 14053, 476, 1354, 1619, 348, 5864, 16, 188, 686, 7012, 436, 802, 14, 17847, 679, 286, 9409, 5968, 327, 596, 785, 328, 18187, 248, 3379, 732, 2145, 1402, 2497, 276, 254, 8770, 282, 751, 633, 3379, 2244, 2632, 286, 43571, 324, 10243, 15214, 2292, 314, 2337, 1333, 2614, 16, 17848, 679, 16, 679, 17, 24769, 17, 13238, 17, 6913, 15, 47420, 17, 20, 18, 19, 24, 17, 20, 18, 19, 24, 18, 21, 18, 27, 16, 2880, 14, 3817, 1333, 2614, 16, 315, 8833, 958, 1310, 16, 679, 17, 29416, 15, 21, 24, 23, 17, 22030, 15, 3214, 273, 15, 29416, 15, 21, 24, 23, 15, 31111, 15, 18002, 15, 21923, 15, 16003, 17, 481, 310, 11448, 1074, 248, 14053, 3026, 343, 756, 580, 390, 254, 642, 2811, 16, 5431, 346, 44529, 286, 14053, 8517, 932, 452, 643, 5511, 286, 6707, 687, 671, 14, 348, 7119, 16, 12182, 417, 7919, 254, 2525, 2705, 286, 14053, 2705, 276, 254, 3925, 348, 2165, 282, 248, 13742, 286, 5384, 14053, 2497, 6564, 16, 1260, 368, 774, 865, 14, 603, 368, 452, 248, 29618, 867, 274, 3379, 2244, 2632, 432, 43487, 14, 26304, 266, 899, 14, 17847, 679, 7925, 328, 580, 1874, 286, 43571, 324, 10243, 4076, 328, 254, 642, 1874, 2778, 417, 5167, 532, 2156, 2066, 286, 1794, 6326, 2778 ]

[ 1, 23754, 19, 4, 926, 17423, 6892, 15205, 14635, 23111, 85, 4, 2384, 2863, 14, 63, 926, 15023, 6892, 15205, 14635, 23111, 85, 4, 2384, 2863, 14, 63, 647, 603, 20409, 311, 417, 8037, 28, 926, 603, 1195, 10, 562, 21162, 11, 381, 4, 18, 1356, 1003, 20409, 23754, 19, 4, 926, 17423, 6892, 15205, 562, 21162, 23111, 85, 4, 2384, 20409, 14, 63, 926, 15023, 6892, 15205, 562, 21162, 23111, 85, 4, 2384, 20409, 14, 63, 647, 603, 480, 3938, 28, 926, 1827, 16, 29218, 1551, 76, 3938, 4616, 12489, 324, 2951, 2384, 85, 4, 2384, 1827, 16, 1554, 11, 647, 603, 8249, 10, 12573, 11, 2170, 470, 390, 8249, 10, 484, 4812, 11, 2170, 470, 390, 8249, 10, 3374, 4812, 11, 2170, 470, 28, 926, 867, 21502, 426, 15205, 1160, 21502, 985, 34676, 985, 63, 558, 18368, 926, 603, 8249, 10, 484, 4812, 11, 2170, 470, 28, 1003, 867, 21502, 6892, 15205, 484, 4812, 11469, 985, 63, 558, 17423, 558, 543, 976, 985, 63, 926, 603, 8249, 10, 3374, 4812, 11, 2170, 470, 28, 1003, 867, 21502, 6892, 15205, 3374, 4812, 11469, 985, 63, 558, 15023, 558, 543, 976, 985, 63, 926, 867, 21502, 6892, 543, 976, 985, 63, 926, 9521, 8335, 10, 1262, 16, 1229, 1554, 14, 867, 21502, 11, 534, 0, 5, 43384, 12088, 28, 17371, 15, 26, 43384, 188, 2855, 11555, 188, 2855, 671, 188, 2855, 7481, 188, 3933, 671, 1369, 8657, 188, 3933, 35355, 1369, 35355, 14, 2668, 14, 11957, 265, 1809, 210, 188, 2855, 20272, 188, 3933, 10513, 288, 824, 273, 1369, 12293, 188, 2855, 6121, 273, 14, 10513, 288, 824, 273, 188, 188, 3933, 296, 11180, 27250, 4514, 16, 2087, 733, 1369, 4622, 3434, 188, 3933, 296, 11180, 27250, 4514, 16, 5310, 1369, 47549, 35193, 188, 3933, 296, 11180, 27250, 4514, 16, 18293, 1369, 16579, 32478, 188, 3933, 296, 11180, 27250, 4514, 16, 18293, 16, 4643, 20420, 1369, 475, 188, 188, 3933, 296, 11180, 27250, 4514, 16, 5238, 1369, 15582, 65, 38511, 14, 8674, 65, 13392, 14, 22411, 14, 50, 18043, 14, 36062, 8674, 9284, 188, 3933, 296, 11180, 27250, 4514, 16, 2087, 733, 16, 9189, 3434, 1369, 34057, 1520, 65, 38511, 65, 3023, 14, 47, 14376, 3404, 36, 65, 13392, 65, 24576, 188, 188, 5, 495, 27, 27, 18, 18, 19, 16, 46750, 210, 34732, 112, 9254, 114, 21323, 33521, 6067, 19, 27, 27, 23, 15, 19, 15, 20, 21, 16278, 40673, 6067, 41590, 31814, 5772, 225, 45715, 21372, 19, 27, 27, 19, 15, 22, 15, 21, 188, 5, 495, 27, 27, 18, 18, 23, 16, 46750, 210, 13239, 28489, 12327, 126, 33521, 6067, 20, 18, 18, 24, 15, 19, 15, 20, 22, 16278, 40673, 6067, 41590, 31814, 5772, 225, 45715, 21372, 20, 18, 18, 23, 15, 24, 15, 25, 188, 5, 495, 27, 27, 18, 18, 24, 16, 46750, 210, 6584, 239, 3114, 238, 12327, 126, 33521, 6067, 20, 18, 19, 18, 15, 24, 15, 19, 188, 5, 470, 18, 18, 18, 18, 19, 16, 5484, 210, 16278, 11573, 213, 12403, 123, 33521, 6067, 19, 27, 27, 19, 15, 25, 15, 19, 23, 16278, 40673, 6067, 41590, 31814, 5772, 225, 45715, 21372, 19, 27, 27, 18, 15, 19, 20, 15, 19, 27, 188, 5, 470, 18, 18, 21, 18, 18, 16, 5484, 17, 21, 27, 27, 21, 18, 18, 16, 46750, 210, 21622, 106, 34732, 112, 21, 18, 18, 6067, 20, 18, 18, 23, 15, 22, 15, 26, 16278, 40673, 6067, 41590, 31814, 5772, 225, 45715, 21372, 20, 18, 18, 20, 15, 19, 15, 22, 188, 4519, 65, 3434, 426, 15205, 21, 27, 27, 18, 18, 19, 16, 46750, 6447, 21, 27, 27, 18, 18, 23, 16, 46750, 6447, 21, 27, 27, 18, 18, 24, 16, 46750, 6447, 18, 18, 18, 18, 18, 19, 16, 5484, 6447, 18, 18, 18, 21, 18, 18, 16, 5484, 9431, 188, 188, 70, 22221, 426, 20272, 16, 784, 25540, 1067, 188, 188, 89, 83, 426, 8037, 188, 188, 1510, 1954, 65, 2720, 14439, 477, 278, 22221, 16, 1160, 12663, 10, 34832, 16, 18289, 11, 1465, 270, 74, 426, 20272, 16, 4365, 9049, 2012, 2720, 17, 5310, 10889, 16, 2720, 3291, 342, 477, 448, 426, 20272, 16, 7879, 9049, 1067, 210, 1465, 825, 2487, 426, 20272, 16, 34901, 2012, 61, 44366, 285, 292, 552, 11, 85, 63, 2384, 10, 8335, 11, 85, 3291, 34602, 270, 74, 16, 1160, 34901, 10, 45565, 11, 34602, 448, 16, 1160, 34901, 10, 45565, 11, 7915, 278, 22221, 16, 1855, 9049, 10, 29468, 11, 34602, 278, 22221, 16, 1855, 9049, 10, 349, 11, 188, 188, 5, 12835, 5566, 276, 16849, 4719, 282, 3054, 2949, 188, 1510, 5566, 65, 20663, 10, 10889, 65, 3434, 14, 13689, 14, 5318, 65, 1183, 31, 35007, 16, 38264, 5550, 423, 65, 1183, 31, 35007, 16, 38264, 1067, 2192, 1030, 477, 1954, 65, 2720, 1067, 477, 278, 22221, 16, 5216, 2012, 61, 7, 85, 63, 10101, 5566, 1213, 2956, 28627, 2384, 314, 375, 16, 784, 4102, 31677, 1465, 260, 38020, 426, 16579, 32478, 16, 57, 2046, 7841, 1067, 1465, 14036, 65, 2617, 14, 20420, 65, 3434, 426, 751, 65, 20420, 65, 2617, 10, 5310, 11, 477, 3270, 1551, 5310, 23111, 85, 14, 1320, 23111, 85, 14, 6198, 23111, 70, 4, 2384, 10, 5310, 14, 20420, 65, 2617, 14, 4874, 10, 10889, 65, 3434, 10409, 1465, 5566, 65, 3176, 426, 8249, 10, 10889, 65, 3434, 11, 1465, 1922, 65, 5310, 426, 47549, 35193, 16, 47, 18556, 8674, 1067, 477, 18978, 65, 5310, 246, 426, 47549, 35193, 16, 47, 18556, 8674, 10, 8674, 65, 38511, 14, 8674, 65, 13392, 14, 22411, 14, 50, 18043, 14, 36062, 8674, 9284, 11, 477, 4293, 65, 5397, 14, 12222, 65, 5397, 31, 470, 14, 18, 1465, 1242, 426, 8657, 1067, 1465, 324, 480, 276, 2413, 10, 10889, 65, 3176, 2192, 647, 5574, 65, 1554, 426, 5566, 65, 3434, 61, 76, 63, 23881, 5574, 65, 2137, 426, 260, 38020, 16, 784, 65, 21643, 65, 2137, 10, 17260, 65, 1554, 14, 20420, 65, 2617, 14, 5318, 65, 1183, 14, 423, 65, 1183, 11, 2621, 603, 5574, 65, 2137, 16, 4608, 5954, 2224, 470, 28, 926, 1922, 65, 5310, 16, 14837, 65, 2137, 10, 5310, 14, 17260, 65, 1554 ]

[ 1, 3821, 14, 4859, 1873, 348, 254, 14782, 2442, 14, 555, 643, 18187, 254, 1575, 327, 25922, 961, 1544, 338, 27, 26, 22, 16, 826, 27829, 1575, 4304, 3290, 9567, 274, 19839, 286, 8587, 8935, 282, 751, 368, 830, 368, 961, 282, 563, 16, 188, 19300, 281, 338, 20, 18, 18, 549, 5867, 15, 39546, 265, 26514, 8712, 10514, 28, 3844, 2139, 15, 14992, 1625, 8712, 369, 4131, 328, 13005, 14, 1575, 14, 286, 327, 25986, 9041, 3751, 16, 380, 26514, 8712, 3821, 5961, 512, 1241, 1205, 1311, 5123, 4829, 3277, 747, 6864, 7045, 8601, 286, 27458, 16963, 9590, 16, 188, 510, 8443, 2877, 14194, 1503, 321, 248, 24904, 1051, 6234, 13325, 14, 532, 353, 669, 3290, 688, 1017, 956, 5787, 282, 1920, 368, 3435, 888, 324, 624, 16, 188, 4119, 5596, 15, 5519, 1011, 256, 28, 380, 763, 15, 484, 7126, 328, 254, 8443, 2877, 14194, 311, 756, 495, 18, 16, 27, 12691, 742, 254, 3112, 14, 593, 353, 457, 85, 3364, 282, 4069, 597, 14, 8265, 742, 254, 1431, 14, 390, 867, 248, 3071, 1051, 387, 248, 1665, 16, 14414, 14, 254, 6708, 7126, 7526, 28478, 3360, 286, 1920, 368, 286, 633, 15388, 5058, 16, 188, 41511, 1482, 4675, 14880, 15, 2466, 1572, 3988, 343, 5564, 15, 9371, 28, 731, 3809, 756, 248, 3055, 11285, 13619, 282, 867, 254, 30309, 637, 15, 2711, 328, 254, 10305, 37591, 6779, 14, 593, 368, 476, 1845, 11580, 276, 254, 5715, 1232, 368, 872, 324, 633, 9297, 16, 188, 510, 8443, 2877, 14194, 1503, 321, 17740, 14, 532, 353, 5961, 9567, 274, 254, 6151, 4163, 16, 188, 38, 776, 14867, 15368, 12608, 8359, 343, 44460, 834, 21656, 640, 28, 380, 8518, 1239, 2824, 35231, 343, 14560, 3872, 640, 1862, 368, 254, 15468, 1575, 368, 961, 14, 512, 1205, 10292, 1637, 19161, 3377, 282, 11073, 254, 35231, 16, 188, 42, 15, 38, 14194, 19206, 8809, 4021, 314, 34935, 2192, 2640, 436, 6873, 3860, 975, 7826, 14, 368, 476, 321, 12864, 327, 633, 13325, 311, 6702, 670, 368, 3109, 1919, 16, 380, 3860, 975, 8135, 29115, 670, 368, 3437, 254, 13325, 6524, 282, 248, 11426, 2165, 72, 704, 16, 188, 35012, 15, 18167, 12608, 8359, 314, 34935, 2192, 731, 457, 85, 3364, 282, 3355, 1051, 276, 248, 23509, 670, 368, 5053, 282, 14631, 282, 254, 3165, 15, 4208, 22883, 975, 14, 348, 353, 13868, 34248, 9278, 5406, 484, 1285, 1837, 37461, 16, 0, 6128, 248, 4631, 1280, 16, 16325, 633, 1193, 1499, 14, 1002, 248, 9791, 6956, 274, 353, 14, 311, 1837, 785, 3, 188, 1130, 555, 1845, 643, 248, 628, 274, 618, 4713, 282, 751, 348, 1181, 18549, 348, 310, 11728, 807, 286, 310, 452, 282, 1309, 353, 457, 85, 2367, 561, 16, 188, 21115, 1511, 785, 328, 254, 2603, 457, 85, 30426, 311, 2152, 286, 17963, 324, 27143, 15178, 286, 1773, 2456, 16, 188, 510, 6689, 7873, 9472, 555, 643, 867, 276, 4558, 324, 3425, 22435, 343, 248, 1612, 2379, 13619, 282, 254, 490, 308, 932, 282, 4842, 248, 4422, 274, 3265, 16, 731, 457, 85, 15353, 6952, 1919, 1205, 12660, 2456, 563, 276, 16, 188, 5910, 41415, 15373, 555, 18447, 4680, 254, 279, 1169, 609, 532, 436, 311, 4214, 33963, 742, 324, 254, 944, 628, 286, 587, 321, 360, 7974, 14, 8243, 1659, 14, 3838, 670, 353, 512, 3144, 2292, 14, 387, 688, 20613, 1110, 276, 254, 2764, 14, 390, 4895, 276, 254, 2391, 16, 1395, 865, 748, 2958, 6791, 266, 403, 747, 16, 188, 3992, 254, 10431, 274, 254, 24247, 432, 254, 30426, 282, 254, 378, 7196, 38142, 3843, 687, 8079, 555, 282, 321, 867, 276, 16, 188, 43, 457, 307, 17433, 254, 3425, 274, 254, 2218, 3843, 282, 254, 2603, 343, 248, 8353, 1110, 286, 20012, 324, 539, 251, 4102, 2849, 398, 16, 380, 1802, 41164, 5976, 759, 4264, 254, 3843, 343, 248, 27226, 324, 7970, 340, 398, 432, 254, 4994, 16, 188, 43, 1623, 452, 282, 1242, 6813, 4536, 668, 254, 3843, 687, 8079, 286, 4987, 16, 826, 3179, 6806, 348, 248, 47656, 2654, 1480, 286, 555, 282, 18522, 248, 1643, 3408, 286, 2539, 2218, 282, 254, 4994, 16, 826, 369, 4131, 1026, 1063, 665, 4829, 25651, 457, 6806, 14, 593, 353, 457, 85, 2692, 282, 321, 811, 4867, 1051, 16, 188, 14259, 311, 1247, 670, 310, 3954, 254, 1499, 16, 3845, 1362, 274, 7012, 14, 3402, 16, 0, 510, 3278, 4236, 274, 248, 8404, 432, 20120, 282, 33870, 311, 370, 19, 14, 18, 25, 20, 16, 6901, 282, 865, 327, 368, 774, 13914, 282, 751, 688, 338, 18, 7803, 5557, 6400, 324, 248, 8404, 747, 436, 16, 330, 8404, 432, 20120, 282, 33870, 587, 321, 1444, 370, 19, 14, 19, 24, 20, 1285, 1656, 4149, 2858, 5562, 353, 4699, 1017, 387, 254, 671, 274, 1017, 2858, 16, 1395, 1503, 961, 282, 865, 327, 254, 44034, 8404, 6705, 276, 254, 2391, 802, 311, 669, 1157, 14, 811, 370, 25, 19, 24, 391, 17, 86, 324, 248, 1928, 28188, 8404, 1102, 324, 4109, 374, 18, 19, 21, 328, 401, 608, 463, 1412, 16, 188, 14506, 788, 4149, 2858, 311, 3850, 282, 4087, 276, 33870, 3004, 2257, 72, 4280, 587, 944, 2692, 2411, 1062, 19402, 1444, 327, 671, 16, 26308, 327, 368, 403, 11871, 324, 624, 17740, 4060, 373, 14, 360, 1754, 368, 3437, 1285, 4452, 282, 4929, 14, 324, 1656, 2858, 14, 974, 683, 7702, 774, 321, 624, 23621, 16, 839, 1141, 327, 9155, 254, 6633, 383, 671, 282, 4149, 282, 254, 2758, 432, 20120, 311, 869, 12059, 14, 276, 3793, 282, 2470, 286, 4257, 282, 4297, 16, 188, 510, 19502, 8404, 3435, 713, 33870, 311, 495, 14, 18, 23, 25, 6400, 1034, 286, 353, 3144, 432, 34363, 22834, 5461, 14, 34363, 16, 188, 2721, 16099, 555, 1652, 338, 13571, 3256, 1869, 33870, 17806, 16, 188, 510, 4502, 8404, 2884, 869, 20120, 286, 33870, 311, 607, 14, 18, 23, 23, 6400, 314, 26, 14, 19, 21, 23, 27669, 11, 533, 2034, 368, 933, 10077, 324, 248, 7119, 338, 25, 2942, 286, 576, 22, 2819, 1034, 9205, 16, 188, 510, 19502, 8404, 4832, 432, 33870, 311, 1438, 282, 13165, 286, 353, 457, 85, 495, 14, 19, 23, 19, 6400, 314, 23, 14, 18, 25 ]

[ 1, 633, 20110, 16, 3783, 890, 26, 15, 21, 24, 24, 43626, 587, 1862, 368, 30695, 3277, 286, 1012, 626, 587, 321, 641, 5805, 663, 4699, 45060, 407, 9409, 890, 26, 15, 21, 24, 24, 20253, 3609, 16, 12608, 526, 10352, 311, 8920, 18899, 5437, 2395, 5493, 324, 633, 6151, 354, 7453, 890, 26, 15, 21, 24, 24, 9409, 4242, 1707, 3609, 20110, 286, 2780, 479, 29, 368, 587, 1663, 387, 254, 1708, 16, 9409, 890, 26, 15, 21, 24, 24, 1056, 6915, 3783, 2049, 343, 9055, 10419, 273, 10696, 2178, 924, 3379, 28561, 368, 452, 254, 6939, 3277, 282, 10077, 512, 254, 12633, 274, 633, 1156, 16, 1997, 436, 2687, 12608, 526, 10352, 15575, 282, 13905, 16523, 1544, 353, 555, 2378, 30270, 5437, 2395, 3956, 282, 1041, 368, 4558, 16, 6151, 890, 26, 15, 21, 24, 24, 261, 2529, 587, 563, 1477, 811, 407, 254, 20549, 274, 9055, 890, 26, 15, 21, 24, 24, 278, 10352, 286, 368, 587, 417, 12386, 33349, 633, 14852, 276, 671, 20699, 8379, 4100, 2229, 9724, 2339, 37, 12098, 731, 311, 7282, 282, 751, 254, 6915, 747, 12608, 526, 10352, 286, 3277, 747, 3462, 274, 436, 1056, 3821, 403, 4782, 324, 9055, 890, 26, 15, 21, 24, 24, 3379, 3609, 20110, 16, 21041, 1038, 625, 961, 282, 1354, 890, 26, 15, 21, 24, 24, 6151, 20253, 3609, 974, 596, 452, 254, 6151, 6151, 890, 26, 15, 21, 24, 24, 7294, 69, 11134, 324, 615, 20110, 16, 21221, 6524, 282, 12608, 526, 10352, 663, 555, 1143, 633, 890, 26, 15, 21, 24, 24, 10419, 273, 10696, 2178, 924, 9409, 261, 2529, 3783, 5384, 407, 5123, 368, 40345, 1923, 5437, 2395, 5493, 16, 890, 26, 15, 21, 24, 24, 3300, 1056, 9132, 3783, 343, 9409, 890, 26, 15, 21, 24, 24, 354, 7453, 9055, 21350, 1056, 403, 2151, 282, 7250, 899, 843, 13296, 5785, 12608, 526, 10352, 785, 324, 633, 6450, 2764, 16, 21041, 452, 1012, 254, 4311, 5437, 2395, 1026, 276, 1316, 282, 10077, 615, 890, 26, 15, 21, 24, 24, 6151, 4242, 1707, 3609, 286, 436, 1026, 587, 1394, 729, 4264, 2251, 16, 9409, 10419, 273, 10696, 2178, 924, 354, 7453, 1056, 4605, 587, 9537, 368, 6378, 1538, 286, 9409, 890, 26, 15, 21, 24, 24, 354, 7453, 9055, 1056, 13352, 555, 254, 1640, 2811, 16, 22303, 633, 671, 286, 2501, 348, 963, 348, 12608, 526, 10352, 311, 13454, 368, 939, 254, 26366, 5493, 16, 890, 26, 15, 21, 24, 24, 9409, 354, 7453, 5035, 9282, 3783, 286, 354, 7453, 890, 26, 15, 21, 24, 24, 9409, 3783, 5022, 3821, 587, 321, 2151, 282, 1354, 974, 596, 10077, 368, 8611, 16, 7683, 633, 12464, 276, 248, 1026, 533, 807, 1862, 368, 254, 1640, 10637, 286, 890, 26, 15, 21, 24, 24, 9055, 261, 2529, 587, 321, 4667, 343, 2251, 16, 6151, 354, 7453, 890, 26, 15, 21, 24, 24, 9409, 21350, 3819, 1056, 286, 9409, 890, 26, 15, 21, 24, 24, 1240, 4605, 587, 9260, 633, 14852, 276, 248, 743, 1026, 286, 368, 587, 4717, 30695, 10597, 16, 0, 9371, 5306, 971, 38515, 1230, 19386, 789, 14, 771, 1514, 3838, 16, 188, 10312, 274, 254, 4807, 286, 41144, 15, 39946, 5445, 16, 188, 10023, 304, 2116, 10228, 286, 14025, 45118, 276, 254, 4472, 4351, 16, 188, 19318, 286, 18195, 324, 254, 5537, 6082, 16, 188, 22795, 274, 254, 5537, 6082, 276, 254, 4472, 4351, 16, 0, 510, 15905, 1955, 2344, 369, 2828, 328, 6612, 374, 27, 394, 3793, 374, 18, 19, 27, 387, 15121, 7438, 411, 2789, 18743, 16, 19215, 2139, 418, 44756, 14, 44105, 11821, 286, 33372, 25649, 3836, 14, 40459, 854, 11821, 432, 12420, 3313, 14740, 6640, 11298, 254, 2288, 343, 763, 3371, 14, 500, 792, 286, 9825, 16, 6123, 3371, 403, 1527, 248, 374, 15, 2823, 12257, 33918, 324, 2784, 942, 343, 4569, 12396, 16, 380, 13153, 41530, 2784, 942, 282, 1263, 5503, 6750, 324, 254, 5342, 282, 32206, 16, 380, 14740, 25830, 286, 40459, 854, 387, 12420, 3313, 14, 2023, 785, 8227, 324, 3371, 282, 6179, 6973, 286, 2941, 7528, 2497, 6750, 16, 188, 1590, 1212, 403, 24697, 282, 452, 1856, 374, 2046, 1619, 276, 254, 19596, 25830, 6951, 14, 19215, 2139, 14, 254, 3371, 286, 616, 2214, 785, 1623, 1837, 282, 2023, 248, 4474, 5081, 274, 3462, 324, 254, 3015, 16, 47916, 18442, 2756, 254, 17212, 286, 6073, 2066, 16, 330, 14724, 19224, 16, 5919, 2152, 282, 512, 3103, 1397, 3093, 43829, 39090, 3473, 14, 11413, 17, 46058, 12420, 3313, 14740, 9948, 16, 0, 26414, 4558, 324, 633, 1887, 1362, 33, 1258, 441, 751, 368, 31849, 286, 1041, 2056, 633, 8356, 311, 348, 9415, 3065, 348, 633, 11812, 7417, 16, 188, 510, 27361, 706, 30923, 444, 15868, 4615, 338, 2260, 22415, 286, 338, 11812, 22415, 16, 188, 510, 27361, 706, 30923, 444, 15868, 4615, 338, 22415, 706, 338, 4013, 2011, 8714, 586, 9705, 29573, 2886, 6692, 16, 188, 510, 2568, 504, 390, 443, 4321, 14093, 248, 46370, 4013, 2011, 43795, 31962, 834, 1830, 4666, 20, 20, 1294, 11, 670, 368, 7274, 665, 338, 274, 254, 46784, 11819, 1788, 16, 1286, 368, 7274, 374, 11819, 14, 368, 4615, 3893, 254, 443, 14562, 16, 188, 510, 27361, 706, 30923, 444, 15868, 4615, 374, 4013, 2011, 8714, 586, 9705, 29573, 2886, 11824, 16, 188, 11988, 633, 22415, 374, 15, 21, 1842, 1063, 633, 46784, 17, 47300, 11526, 16, 188, 2148, 6158, 274, 2482, 14, 1218, 668, 247, 7329, 3640, 706, 34516, 434, 328, 772, 4282, 16, 188, 2148, 248, 31748, 8356, 14, 1218, 254, 12298, 328, 772, 4282, 16, 0, 10186, 772, 671, 2292, 14, 360, 587, 6429, 254, 33659, 276, 615, 5157, 18846, 274, 10554, 14, 448, 24987, 286, 15411, 29, 360, 587, 452, 254, 4954, 282, 3768, 772, 2501, 6109, 14, 348, 360, 1872, 4558, 29, 360, 587, 452, 671, 282, 4126, 254, 5230, 9643, 274, 16267, 91, 3867, 29, 286, 360, 587, 2120, 580, 1495, 276, 14161, 16, 826, 18469, 774, 5587, 348, 272, 328, 15, 84, 1277, 324, 1093, 663, 5565, 282, 6429, 248, 11230, 28526, 29, 353, 774, 669, 5587, 348, 248, 9604, 1431, 15, 20984, 2705, 16, 731, 311, 5864, 324, 1093, 663, 865, 3622, 282, 452, 769, 2965, 683 ]

[ 1, 14, 353, 457, 85, 641, 4140, 748, 254, 2456, 274, 327, 13839, 403, 1438, 282, 321, 28, 353, 457, 85, 417, 1438, 282, 452, 665, 1040, 23822, 328, 254, 31868, 9209, 14, 324, 1610, 14, 532, 5440, 587, 1336, 254, 20572, 2873, 276, 4890, 286, 15701, 282, 1920, 2126, 661, 1061, 615, 4403, 274, 9694, 328, 254, 31868, 2974, 543, 75, 16, 71, 16, 939, 254, 1924, 15, 1055, 37630, 1534, 5919, 14, 327, 311, 1594, 310, 513, 417, 1141, 248, 9197, 1408, 650, 961, 282, 7948, 282, 16, 188, 3992, 368, 14, 633, 42960, 474, 36296, 5618, 407, 254, 948, 368, 1862, 254, 12695, 274, 479, 671, 274, 1362, 14, 587, 946, 327, 12342, 2951, 16, 19236, 587, 417, 14, 286, 596, 561, 8896, 368, 16, 20877, 348, 1218, 327, 254, 2951, 311, 282, 1885, 274, 6797, 1771, 457, 85, 3367, 274, 36540, 14, 596, 457, 619, 1477, 328, 254, 838, 454, 286, 3191, 343, 254, 1964, 3802, 14, 27854, 8068, 3622, 387, 695, 2722, 328, 1129, 1755, 7976, 939, 615, 33944, 16, 14368, 14, 24561, 407, 2714, 18462, 1771, 1035, 11328, 15787, 596, 457, 619, 25648, 520, 3367, 274, 36540, 348, 11156, 16, 188, 1843, 436, 1091, 348, 310, 457, 307, 19899, 624, 683, 2304, 276, 254, 3514, 274, 7227, 14, 274, 12378, 286, 274, 16634, 1091, 311, 1495, 36457, 432, 254, 22190, 22578, 4817, 11242, 16, 2807, 23606, 440, 42411, 4079, 3790, 14, 835, 960, 729, 282, 27701, 3436, 565, 282, 642, 440, 42411, 4079, 3790, 14, 772, 32603, 532, 22504, 3320, 11311, 403, 5157, 17933, 16, 188, 54, 408, 360, 7415, 360, 457, 307, 573, 2151, 16, 188, 1737, 378, 13750, 4245, 14, 1315, 479, 1956, 561, 327, 4250, 41491, 12270, 14, 2714, 5213, 358, 11551, 91, 14960, 310, 457, 307, 3427, 1063, 328, 2714, 67, 31666, 315, 13593, 281, 382, 19382, 282, 6429, 254, 19610, 29, 282, 1806, 1004, 743, 3979, 348, 6824, 286, 1269, 18879, 14960, 826, 14542, 282, 1806, 12378, 348, 603, 9011, 286, 29105, 8487, 457, 86, 4448, 14, 26662, 348, 603, 22051, 286, 7168, 274, 642, 1924, 261, 2058, 8487, 457, 86, 1996, 14, 311, 27807, 407, 327, 2714, 5213, 358, 11551, 91, 457, 2306, 16, 5403, 3033, 286, 28942, 35491, 14, 353, 4107, 1093, 663, 8517, 353, 11657, 432, 665, 28984, 282, 1240, 5957, 16, 188, 40, 565, 15, 85, 2747, 286, 1851, 353, 1081, 3956, 24455, 939, 12421, 3310, 16, 1260, 22190, 286, 44483, 403, 11897, 282, 771, 2959, 4595, 457, 85, 769, 85, 2605, 2450, 456, 975, 274, 22578, 7324, 593, 1480, 403, 2342, 1628, 1322, 747, 28867, 8083, 286, 5916, 4064, 4058, 303, 11897, 282, 254, 22190, 16, 6123, 14805, 31606, 275, 36772, 282, 16870, 286, 888, 1091, 286, 513, 254, 1057, 343, 1093, 9804, 14, 432, 11938, 3309, 5057, 282, 7296, 416, 3938, 286, 16955, 5614, 336, 14, 4475, 274, 13577, 15, 44491, 3790, 1385, 775, 1091, 532, 13622, 615, 33433, 568, 407, 24258, 597, 16065, 599, 9799, 282, 4524, 11881, 596, 513, 593, 1181, 282, 1862, 3709, 282, 16, 188, 12054, 26662, 33, 380, 2978, 5898, 403, 328, 8571, 657, 16, 188, 43, 4316, 338, 27, 25, 21, 286, 254, 17123, 276, 22051, 286, 11691, 23807, 274, 963, 13801, 12287, 561, 328, 254, 9931, 7895, 22730, 406, 5997, 286, 835, 254, 15105, 6109, 274, 14738, 286, 35862, 942, 286, 6582, 36212, 16, 1286, 360, 961, 282, 7957, 41920, 13188, 3089, 615, 2504, 713, 35942, 4903, 1468, 1717, 360, 872, 417, 997, 1062, 2019, 432, 772, 1193, 39082, 3, 188, 43, 4316, 1480, 14, 33586, 16, 2514, 5348, 15, 2641, 1129, 327, 41204, 3748, 16897, 22051, 267, 18822, 1091, 1648, 248, 1603, 28159, 19791, 3648, 3, 1091, 663, 18298, 772, 4326, 1181, 315, 16, 188, 43, 1038, 457, 86, 324, 248, 2687, 5382, 353, 14, 321, 8275, 16, 188, 8177, 368, 324, 13283, 328, 26662, 16, 839, 872, 282, 40064, 2292, 387, 436, 671, 276, 1305, 274, 254, 14493, 8510, 5214, 10268, 3792, 6797, 1771, 16, 2512, 436, 2951, 324, 1949, 9377, 1460, 14, 4376, 407, 35371, 663, 2748, 2622, 254, 2471, 16, 188, 7849, 324, 254, 2951, 14, 18313, 75, 16, 399, 3708, 561, 1012, 324, 2849, 343, 248, 15146, 5631, 14, 532, 310, 457, 619, 2374, 561, 1938, 2966, 16, 188, 7849, 657, 579, 16, 310, 457, 79, 1845, 5940, 670, 10394, 329, 6438, 248, 1628, 3709, 5158, 16, 22761, 670, 14, 348, 343, 436, 286, 6844, 274, 1364, 4028, 457, 85, 22115, 17680, 328, 12378, 14, 353, 476, 321, 20009, 713, 1495, 2889, 328, 3653, 1091, 343, 254, 2508, 26628, 819, 24503, 2427, 457, 86, 4955, 758, 2714, 36448, 457, 20121, 7063, 568, 16, 19329, 327, 282, 29105, 286, 42739, 26422, 3, 0, 16238, 274, 1530, 4793, 286, 2949, 324, 14382, 7980, 387, 580, 2365, 44104, 8065, 314, 13816, 481, 13796, 2213, 413, 1460, 17203, 314, 35, 1811, 11, 369, 900, 282, 7275, 254, 3106, 900, 324, 254, 4616, 1296, 931, 867, 16, 416, 20, 331, 286, 5076, 1563, 6106, 2160, 314, 25983, 2282, 11, 497, 900, 282, 7275, 254, 2860, 869, 254, 2458, 286, 7917, 5363, 6867, 2127, 407, 9184, 14261, 1530, 3482, 324, 4616, 1296, 286, 12468, 931, 5085, 16, 7023, 1500, 314, 82, 653, 470, 16, 18, 23, 11, 3106, 403, 1953, 16, 0, 1516, 311, 248, 495, 24, 1722, 16489, 593, 1286, 368, 5416, 1773, 12174, 390, 367, 36764, 4105, 9938, 12174, 47576, 16, 679, 311, 248, 14670, 4877, 324, 633, 1773, 10786, 2072, 16, 826, 311, 248, 3944, 4877, 327, 360, 452, 9380, 324, 1090, 16, 5066, 626, 311, 248, 495, 24, 1722, 16489, 343, 7624, 4466, 39526, 10366, 1448, 1395, 476, 563, 282, 254, 4877, 324, 624, 8464, 16, 0, 2853, 2851, 248, 9748, 282, 248, 9498, 14, 286, 9569, 14, 35244, 14, 2456, 286, 3981, 14544, 16, 188, 1934, 5811, 254, 3189, 286, 2150, 274, 272, 2774, 9498, 4400, 16, 188, 2300, 254, 11100, 10064, 14, 5370, 248, 9748, 276, 254, 380, 6766, 19147, 282, 4503, 327, 9748, 16, 188, 6957, 254, 2916, 6237, 276, 254, 19407, 1086, 19147, 14, 286, 835, 5370, 254, 2004, 640, 8680, 6237, 282, 4503, 248, 4131, 15, 250, 3189, 6787, 16, 188, 6957 ]

[ 1, 452, 2602, 34657, 254, 10578, 276, 254, 2391, 286, 843, 254, 11030, 2024, 276, 633, 2504, 311, 10628, 16, 1664, 434, 1845, 1594, 743, 286, 4576, 9121, 387, 5883, 8796, 1065, 14965, 36161, 3, 188, 1212, 403, 11401, 1648, 12745, 743, 2893, 36161, 286, 4566, 282, 772, 8349, 2586, 16, 2512, 282, 353, 282, 1354, 248, 35420, 387, 254, 9138, 5146, 5883, 8796, 1065, 14965, 36161, 555, 2790, 3970, 3, 188, 4601, 2792, 5166, 2893, 36161, 7234, 374, 23, 254, 24593, 24941, 281, 5116, 7034, 15566, 7908, 7446, 17790, 494, 7925, 276, 633, 4242, 407, 18463, 5894, 2382, 276, 20928, 407, 1921, 41417, 4886, 625, 7537, 282, 2210, 286, 4245, 603, 368, 1564, 343, 436, 3292, 20172, 16, 188, 26, 23, 7753, 274, 254, 347, 25730, 24941, 281, 5116, 17790, 494, 4, 188, 19929, 34938, 274, 347, 20, 23, 254, 24593, 24941, 281, 5116, 7034, 15566, 7908, 7446, 17790, 494, 7925, 4, 0, 35437, 5777, 609, 311, 254, 3615, 2628, 414, 15773, 282, 254, 5950, 14, 11879, 14, 1240, 286, 1914, 274, 6083, 9112, 16, 1993, 2408, 2624, 18594, 2815, 282, 11980, 14, 8542, 14, 30784, 286, 23989, 16, 188, 35, 38208, 311, 248, 12524, 663, 2628, 2918, 276, 23635, 609, 286, 311, 17551, 282, 1519, 6083, 30241, 16, 1547, 403, 3615, 11264, 663, 7275, 1338, 282, 3533, 1826, 615, 5749, 403, 254, 898, 274, 248, 3405, 9490, 14, 248, 4868, 274, 3405, 286, 6083, 42485, 932, 14, 390, 13343, 19253, 16, 188, 510, 5514, 1914, 274, 19253, 12022, 286, 4229, 7599, 555, 2411, 254, 944, 1794, 4298, 274, 19253, 1914, 276, 1615, 3819, 16, 3683, 9439, 587, 321, 2600, 343, 248, 33785, 348, 248, 815, 15, 779, 1714, 382, 16, 188, 38634, 387, 254, 310, 42, 2688, 311, 8326, 328, 272, 28902, 3596, 14, 7100, 328, 254, 11817, 274, 5011, 14730, 390, 642, 7589, 274, 254, 8750, 276, 1897, 16, 1180, 624, 5300, 9112, 14, 248, 3936, 4172, 274, 1914, 4466, 774, 321, 3202, 16, 3688, 14, 1338, 343, 836, 5300, 3395, 274, 9112, 933, 321, 3994, 276, 248, 8906, 830, 248, 624, 10800, 6083, 11405, 2024, 476, 321, 5740, 16, 188, 1253, 3395, 274, 43434, 403, 1841, 343, 254, 12859, 5777, 2132, 2969, 254, 310, 42, 2688, 33, 188, 2148, 748, 3395, 274, 9112, 513, 368, 3831, 1914, 33, 188, 7639, 321, 6425, 327, 603, 368, 452, 13605, 1738, 6329, 248, 27182, 4706, 311, 2961, 432, 633, 15431, 801, 16, 6499, 5060, 6329, 4273, 669, 2353, 248, 27182, 1480, 16, 0, 2432, 4424, 512, 618, 1157, 13331, 11294, 16, 188, 27432, 1919, 432, 436, 580, 16, 731, 4313, 9552, 16, 188, 2433, 327, 248, 4064, 293, 310, 915, 33, 188, 2686, 434, 248, 3837, 4344, 2731, 19888, 41647, 7806, 12882, 14711, 1661, 15404, 188, 2686, 2687, 670, 368, 3542, 248, 5158, 14, 368, 4574, 1074, 353, 14, 286, 7415, 282, 889, 353, 348, 272, 10374, 16, 188, 35, 321, 10921, 343, 248, 16369, 14, 470, 17, 19, 18, 3095, 248, 8522, 16369, 16, 188, 30529, 67, 12161, 282, 67, 15, 5220, 366, 28670, 16, 47657, 16, 188, 686, 1556, 1494, 532, 1311, 16832, 276, 695, 1193, 1026, 12217, 9970, 6134, 1689, 282, 248, 13962, 12863, 44193, 16, 16665, 18346, 16, 188, 43, 715, 8869, 2430, 327, 324, 19374, 1618, 1012, 16, 188, 24540, 283, 388, 9560, 28908, 311, 38867, 16, 188, 21600, 663, 452, 2102, 9024, 1045, 403, 11133, 282, 513, 593, 2623, 2008, 1037, 12077, 6707, 615, 47544, 16, 8718, 327, 933, 321, 628, 274, 254, 4653, 390, 1594, 14, 310, 42316, 2295, 16, 188, 10667, 315, 14, 248, 2187, 274, 9073, 1045, 6231, 625, 2602, 628, 274, 254, 2099, 14, 532, 942, 35350, 328, 2391, 9837, 14, 533, 311, 2169, 274, 248, 45382, 951, 603, 368, 1441, 743, 282, 254, 2099, 286, 1623, 961, 248, 3677, 778, 91, 40125, 282, 633, 2377, 16, 188, 4357, 1012, 310, 4251, 618, 47544, 14, 2234, 16, 618, 28463, 20845, 573, 248, 21271, 16, 188, 43, 6296, 625, 8123, 3655, 35350, 328, 1034, 2391, 7758, 276, 436, 6121, 16, 0, 32350, 10832, 428, 45695, 314, 29868, 581, 4851, 16, 188, 11198, 2733, 248, 5537, 3026, 432, 533, 282, 785, 432, 836, 24219, 8925, 47160, 286, 5926, 3780, 2245, 403, 4301, 1525, 248, 32873, 301, 763, 15, 21479, 2488, 343, 3364, 2218, 282, 21130, 374, 22, 20, 286, 39286, 719, 26, 18, 13376, 407, 248, 10827, 1922, 2072, 3015, 16, 380, 9670, 4472, 4708, 403, 669, 34540, 11322, 286, 3831, 1062, 10596, 3134, 276, 4116, 4619, 254, 32412, 286, 695, 8476, 4661, 16, 0, 6545, 368, 3542, 580, 390, 624, 274, 633, 9705, 286, 2377, 8555, 274, 12396, 276, 14938, 4566, 747, 8886, 390, 8069, 33, 1286, 4606, 14, 835, 1038, 457, 86, 1354, 12078, 668, 436, 974, 626, 403, 248, 1733, 1162, 274, 15693, 24706, 2066, 276, 254, 2703, 533, 5961, 16234, 15693, 1515, 264, 796, 9439, 324, 15715, 633, 1840, 16, 1664, 403, 9567, 274, 9282, 533, 476, 321, 248, 1887, 1865, 324, 10036, 633, 9705, 819, 348, 7149, 14, 37203, 286, 1125, 624, 16, 27626, 274, 9705, 1042, 417, 756, 2730, 633, 5157, 4566, 532, 669, 11323, 633, 3184, 274, 1464, 16, 4644, 282, 254, 2479, 14, 668, 848, 18, 7, 942, 452, 3542, 387, 1824, 580, 274, 615, 3506, 9705, 16, 1286, 368, 403, 2731, 324, 248, 9665, 348, 963, 348, 1034, 15, 30270, 5247, 4360, 324, 248, 5651, 14783, 14, 835, 46007, 3070, 25855, 276, 13900, 311, 254, 1640, 4188, 324, 368, 16, 188, 38, 3823, 26149, 403, 248, 4311, 1213, 276, 533, 254, 5651, 14783, 311, 34921, 407, 272, 12983, 14783, 16, 1993, 26149, 403, 248, 32930, 327, 311, 10258, 25529, 1525, 254, 20435, 5792, 286, 1862, 368, 248, 1247, 1872, 747, 3506, 9705, 16, 826, 311, 272, 8418, 1914, 327, 1042, 417, 756, 1519, 633, 15693, 1840, 532, 669, 1862, 368, 248, 5230, 8356, 348, 963, 348, 6450, 9705, 16, 188, 510, 2251, 390, 1034, 21037, 3629, 274, 15693, 26149, 403, 7766, 2154, 254, 3621, 274, 38522, 14, 3184, 274, 29692, 932, 348, 963, 348, 14204, 282, 825, 1449, 2960, 343, 254, 8476, 20435, 5792, 16, 30638, 971, 327, 665, 40400, 533, 311, 4694, 687, 254, 12774 ]

[ 1, 274, 254, 3284, 369, 282, 6975, 11570, 274, 254, 6177, 274, 4782, 888, 16, 188, 1853, 254, 743, 2079, 802, 7659, 286, 3371, 1450, 888, 282, 2079, 14, 23490, 447, 324, 19419, 314, 50, 22, 50, 11, 311, 24425, 272, 11967, 14, 9580, 15, 34138, 2497, 4569, 2024, 16, 0, 40, 2509, 343, 649, 37031, 10538, 2877, 2181, 286, 867, 1525, 254, 23702, 274, 254, 1270, 21554, 8458, 14, 436, 6442, 14164, 369, 2696, 593, 12003, 327, 254, 2774, 1350, 274, 1427, 8681, 286, 642, 4661, 274, 254, 529, 16, 53, 16, 19774, 353, 16, 5556, 38119, 248, 47557, 6442, 17478, 33757, 1707, 328, 1201, 7828, 530, 14, 254, 2835, 6544, 862, 248, 29089, 10538, 2073, 869, 763, 15691, 42337, 687, 1423, 274, 248, 1887, 2758, 434, 9421, 39407, 2635, 5294, 16, 380, 10888, 9263, 670, 254, 2758, 434, 944, 6250, 10538, 2877, 9188, 282, 37308, 254, 5861, 274, 248, 743, 286, 3989, 5384, 3833, 274, 7294, 283, 1243, 398, 16, 188, 510, 801, 24204, 274, 443, 494, 286, 3844, 674, 311, 254, 6599, 274, 436, 593, 15, 600, 2986, 16, 188, 52, 2116, 4043, 14894, 443, 494, 17339, 254, 354, 14233, 11485, 38155, 593, 1181, 276, 436, 10538, 2877, 14009, 14, 596, 3419, 775, 248, 1034, 15, 3818, 3203, 16, 188, 28705, 4735, 6442, 14164, 555, 248, 29466, 432, 254, 26861, 5311, 286, 348, 7119, 432, 354, 14233, 248, 1247, 5094, 16, 12731, 3844, 674, 14, 276, 616, 801, 802, 274, 332, 472, 298, 14, 311, 417, 3136, 387, 11668, 276, 2824, 274, 254, 6394, 2486, 532, 385, 14333, 4043, 3184, 16, 14894, 443, 494, 2228, 14, 669, 276, 520, 801, 1887, 802, 14, 311, 8869, 387, 1683, 286, 4107, 248, 20210, 3721, 17331, 2949, 16, 188, 35, 5435, 4424, 432, 248, 370, 21, 23, 248, 2065, 2545, 282, 1129, 6441, 324, 254, 8882, 282, 14553, 282, 2393, 4059, 974, 274, 309, 249, 7540, 10781, 16, 39500, 747, 1594, 4800, 561, 274, 248, 16986, 1926, 1038, 625, 353, 33, 0, 32081, 13957, 14, 11437, 3122, 3, 10944, 368, 324, 1129, 593, 1181, 790, 512, 633, 1464, 16, 188, 8177, 368, 324, 4419, 254, 942, 310, 10217, 3224, 494, 314, 262, 327, 248, 3056, 14276, 747, 39392, 588, 16, 1180, 17727, 942, 310, 457, 307, 1845, 10217, 14, 819, 348, 633, 5769, 16, 1223, 618, 7385, 16, 1180, 4419, 254, 6649, 310, 11298, 17816, 274, 633, 671, 286, 1240, 16, 188, 8177, 368, 324, 1129, 2996, 310, 457, 307, 1845, 15599, 2124, 618, 3732, 16, 188, 1368, 457, 251, 248, 10725, 282, 321, 1444, 286, 248, 8970, 276, 671, 274, 7395, 16, 188, 510, 6032, 11418, 368, 286, 1920, 368, 954, 954, 954, 954, 0, 43, 457, 79, 963, 6425, 353, 457, 85, 7998, 16, 17920, 23886, 7738, 311, 5271, 3737, 254, 801, 7738, 274, 1033, 1722, 14, 532, 436, 1722, 633, 714, 2850, 15596, 497, 8326, 328, 254, 1250, 7738, 974, 618, 7907, 14, 9407, 14, 4285, 282, 563, 328, 17608, 1091, 5995, 254, 11615, 14, 11261, 354, 691, 13400, 3616, 16, 310, 15475, 254, 977, 282, 391, 386, 624, 390, 1637, 348, 254, 7478, 563, 721, 15, 252, 14, 963, 2778, 2118, 328, 16, 188, 1516, 7750, 6819, 254, 3265, 310, 2377, 670, 2732, 282, 563, 24791, 12352, 343, 763, 17920, 54, 1471, 276, 12076, 16, 2141, 3435, 597, 343, 17004, 4565, 5532, 324, 17920, 32974, 1063, 345, 4424, 742, 282, 254, 4513, 16, 188, 1982, 2378, 626, 369, 248, 783, 3932, 327, 807, 5416, 479, 328, 248, 2497, 1091, 436, 369, 353, 16, 380, 16637, 282, 5053, 432, 497, 372, 730, 494, 3, 10904, 5981, 14, 6936, 14, 26578, 85, 286, 16727, 1091, 512, 274, 47986, 3773, 3184, 14, 769, 6375, 666, 2653, 1091, 286, 254, 20288, 369, 3837, 328, 1046, 343, 748, 368, 457, 70, 2014, 387, 248, 14701, 10032, 314, 34977, 370, 19, 18, 248, 1408, 481, 188, 12254, 47828, 2706, 254, 5081, 274, 16637, 14, 533, 1767, 1004, 1362, 16, 6132, 2299, 447, 403, 2066, 328, 2065, 10730, 286, 1004, 2065, 368, 476, 590, 2255, 2537, 1842, 274, 3799, 312, 15, 25342, 16637, 16, 15358, 5278, 14, 368, 835, 5053, 248, 6564, 671, 561, 274, 1241, 580, 15, 11642, 24372, 16, 330, 6082, 587, 2426, 368, 670, 596, 457, 251, 5352, 338, 18, 2819, 561, 16, 188, 4921, 924, 403, 8326, 43274, 314, 1410, 13457, 14, 624, 274, 248, 25858, 5785, 18811, 456, 4344, 581, 343, 7787, 328, 843, 282, 4112, 2969, 13810, 390, 22501, 1091, 1081, 24483, 10734, 2819, 1063, 368, 997, 747, 248, 4829, 1362, 34111, 23735, 343, 248, 16832, 8725, 328, 254, 2741, 16, 188, 4387, 2211, 14, 841, 310, 1652, 618, 12721, 597, 310, 6705, 254, 6564, 7349, 7207, 763, 8115, 432, 618, 2342, 16, 1838, 2722, 3, 188, 36975, 431, 286, 11094, 16, 310, 6774, 8725, 282, 321, 8326, 282, 618, 3780, 16, 731, 7053, 14, 310, 28093, 14, 310, 20650, 456, 16, 826, 311, 30994, 1755, 683, 3684, 2653, 16, 1223, 1002, 6742, 683, 34791, 10109, 286, 37520, 16, 188, 510, 17920, 54, 1471, 403, 8071, 276, 254, 4617, 274, 248, 3017, 652, 4265, 16, 2028, 596, 497, 9791, 5208, 266, 14, 310, 41205, 407, 5959, 5973, 16, 679, 282, 1920, 597, 343, 254, 3518, 6015, 872, 324, 1058, 5973, 286, 7021, 16, 3826, 310, 452, 254, 4360, 282, 3256, 3489, 254, 43364, 447, 310, 872, 4619, 254, 2065, 286, 835, 4212, 1316, 33, 3006, 756, 327, 14, 596, 457, 619, 12317, 276, 668, 272, 4813, 16, 188, 46, 25644, 33, 310, 4370, 282, 1141, 274, 353, 348, 39083, 16, 3699, 1922, 24791, 4513, 2427, 457, 86, 452, 763, 15, 340, 725, 7089, 85, 16, 3063, 368, 2033, 254, 21906, 47302, 327, 476, 3866, 489, 33, 188, 510, 801, 5218, 318, 435, 6564, 311, 1903, 1091, 248, 8840, 282, 751, 368, 31288, 16, 2646, 327, 14, 6564, 311, 370, 21, 16, 27, 27, 324, 7172, 687, 370, 21, 23, 16, 1678, 368, 476, 855, 597, 324, 5218, 318, 435, 16046, 14, 533, 311, 10054, 254, 590, 759, 494, 5224, 6253, 274, 10274, 11800, 1091, 370, 27, 27, 248, 802, 286, 512, 7172, 687, 370, 21, 23, 403, 2818, 16, 0, 1516 ]

[ 1, 1360, 286, 1577, 16, 826, 1056, 311, 669, 17346, 286, 476, 321, 9290, 407, 248, 1162, 274, 2533, 14, 1648, 248, 6082, 434, 3405, 1580, 14, 8364, 2435, 14, 286, 254, 2471, 390, 3112, 3038, 16, 323, 1089, 273, 390, 9916, 25381, 774, 5440, 5070, 14730, 14, 532, 353, 311, 417, 254, 756, 2715, 327, 774, 2759, 836, 5749, 16, 2514, 15, 1799, 9320, 14, 533, 403, 2124, 254, 1794, 5062, 14, 403, 669, 20655, 282, 836, 1057, 10276, 16, 4978, 5062, 327, 774, 321, 2600, 2408, 15067, 14, 1996, 28349, 390, 32232, 14, 286, 19306, 580, 434, 8942, 282, 615, 11172, 343, 615, 2836, 4438, 16, 188, 1253, 403, 633, 4466, 1285, 248, 399, 9319, 3408, 33, 188, 2943, 368, 403, 7127, 687, 324, 248, 399, 9319, 14, 353, 311, 1726, 327, 368, 3351, 11553, 286, 6425, 274, 633, 3453, 16, 1395, 452, 254, 977, 282, 15958, 1631, 29250, 363, 1688, 5062, 603, 272, 5741, 11990, 368, 282, 1323, 729, 14, 286, 603, 368, 5053, 282, 15958, 729, 14, 368, 933, 513, 593, 43820, 16, 731, 311, 669, 9308, 327, 368, 2033, 327, 1205, 1631, 29250, 363, 1688, 5062, 403, 14842, 14, 5628, 5062, 403, 16906, 16, 496, 948, 14, 11769, 18378, 748, 311, 1873, 348, 272, 10195, 7378, 1533, 14, 4355, 327, 670, 368, 15958, 282, 11608, 282, 248, 6173, 390, 2531, 1056, 14, 368, 774, 2186, 4684, 282, 11750, 21725, 16, 7367, 5148, 248, 5628, 1056, 476, 898, 276, 272, 11750, 13030, 274, 633, 6082, 434, 7771, 286, 774, 2186, 368, 282, 272, 5109, 16, 188, 3294, 254, 5245, 5403, 1248, 274, 14775, 500, 16, 839, 564, 376, 537, 14, 772, 17745, 399, 9319, 15656, 403, 6919, 328, 8838, 8325, 4603, 2033, 615, 3453, 16, 4801, 603, 368, 852, 11608, 282, 1631, 29250, 363, 1688, 5062, 1091, 286, 368, 403, 5440, 417, 3690, 603, 368, 852, 1091, 626, 311, 1311, 1845, 254, 6215, 327, 836, 5062, 476, 321, 14459, 1285, 633, 1068, 286, 5520, 16, 3699, 5715, 28386, 512, 1922, 8583, 663, 452, 643, 6459, 343, 248, 399, 9319, 282, 2960, 272, 17745, 399, 9319, 6652, 432, 772, 5715, 348, 3402, 348, 1841, 16, 9720, 254, 1460, 368, 872, 286, 254, 7212, 6598, 368, 16850, 16, 0, 11567, 772, 3783, 6915, 324, 42154, 414, 8493, 250, 994, 15138, 250, 813, 20, 19, 23, 368, 476, 2218, 39311, 15138, 250, 286, 29125, 30220, 286, 6813, 1460, 1648, 42154, 414, 8493, 250, 994, 15138, 250, 813, 20, 19, 23, 46926, 30220, 286, 42154, 414, 8493, 250, 994, 15138, 250, 813, 20, 19, 23, 29822, 282, 1336, 368, 2536, 254, 1640, 16735, 328, 42154, 414, 8493, 250, 994, 324, 633, 25707, 17608, 16, 9175, 772, 46926, 1569, 924, 286, 46926, 20288, 3135, 282, 1041, 2056, 368, 403, 2876, 254, 1640, 2874, 328, 633, 42154, 414, 8493, 250, 994, 25707, 17608, 16, 11903, 3732, 390, 1963, 30337, 328, 254, 42154, 414, 8493, 250, 994, 33, 7683, 772, 11535, 6044, 38591, 286, 915, 254, 3051, 1844, 274, 42154, 414, 8493, 250, 994, 390, 3575, 254, 42154, 414, 8493, 250, 994, 3051, 4244, 12238, 286, 915, 748, 596, 403, 597, 282, 16, 188, 11460, 368, 32274, 276, 42154, 414, 8493, 250, 994, 15138, 250, 813, 20, 19, 23, 33, 5879, 417, 818, 248, 25707, 2207, 274, 42154, 414, 8493, 250, 994, 15138, 250, 813, 20, 19, 23, 390, 818, 7753, 274, 42154, 414, 8493, 250, 994, 15138, 250, 813, 20, 19, 23, 593, 7512, 5227, 33482, 587, 865, 603, 436, 311, 248, 1157, 390, 2978, 16735, 324, 615, 25707, 17608, 16, 0, 34818, 8558, 13538, 32829, 1503, 321, 14910, 3400, 1385, 20121, 40514, 11027, 324, 13791, 14, 532, 345, 5887, 830, 254, 1491, 16406, 311, 16, 188, 16, 34, 32382, 35, 4342, 1486, 65, 12897, 338, 16, 7335, 422, 743, 805, 85, 16, 706, 7617, 327, 5006, 742, 7180, 17, 17476, 7160, 16, 374, 16, 37696, 1061, 5520, 8864, 276, 2377, 274, 4022, 8662, 16, 188, 34, 32382, 35, 4342, 1486, 65, 12897, 750, 1042, 417, 19504, 254, 10080, 16, 750, 8375, 8468, 706, 1996, 1798, 654, 353, 390, 2636, 641, 45849, 670, 345, 311, 7078, 16, 188, 34, 32382, 35, 4342, 1486, 65, 12897, 6499, 4462, 14, 532, 338, 11, 9763, 9960, 34625, 278, 1584, 273, 29, 374, 11, 9515, 23030, 286, 11036, 414, 328, 5516, 14, 12804, 3265, 16, 188, 1843, 688, 10817, 254, 658, 43816, 327, 452, 643, 512, 532, 12489, 407, 254, 6551, 905, 312, 12390, 276, 254, 5510, 457, 85, 3547, 12048, 16, 188, 27350, 274, 254, 19881, 286, 20101, 286, 401, 20673, 14, 1045, 457, 85, 254, 2306, 282, 32829, 327, 21965, 353, 597, 3837, 963, 254, 28539, 592, 274, 1575, 286, 12442, 5274, 274, 254, 6551, 25214, 457, 85, 22133, 274, 254, 1533, 324, 3452, 6206, 16, 1260, 272, 17111, 274, 254, 5132, 14, 353, 457, 85, 10187, 282, 6982, 16, 0, 1130, 457, 85, 643, 248, 3396, 14, 3396, 2065, 1045, 276, 6789, 14, 1062, 3396, 16, 3730, 276, 39184, 14, 360, 457, 307, 1652, 742, 3136, 19108, 2352, 282, 1125, 642, 15476, 286, 8020, 16, 2003, 749, 14, 254, 3171, 10912, 276, 618, 1096, 32183, 248, 4422, 274, 1842, 3502, 387, 495, 26, 3167, 37, 14, 327, 457, 85, 811, 687, 338, 18, 18, 3167, 40, 16, 188, 35, 15118, 369, 276, 254, 3547, 4182, 276, 254, 2065, 348, 963, 14, 670, 248, 3002, 248, 45322, 282, 915, 580, 14887, 1241, 2008, 1444, 616, 763, 802, 1668, 5952, 1472, 4451, 457, 85, 4290, 16, 188, 1516, 512, 2263, 1619, 276, 418, 1186, 410, 328, 254, 2019, 5976, 8624, 274, 1427, 3561, 14994, 14, 286, 368, 476, 1218, 624, 668, 353, 276, 254, 331, 14995, 20626, 16, 188, 2300, 254, 41039, 14, 254, 9307, 4112, 555, 1649, 2674, 1033, 1350, 276, 6789, 328, 27897, 11039, 9761, 16, 34594, 85, 274, 18774, 403, 46869, 4619, 254, 2504, 286, 310, 457, 79, 2056, 1125, 274, 368, 452, 2254, 3762, 274, 254, 16887, 319, 4130, 14, 3657, 276, 33896, 30852, 16, 188, 43, 587, 2241, 276, 624, 2429, 668, 27897, 41453, 276, 248, 2764, 1470, 14, 532, 748, 310, 587, 1970, 368, 668, 27897, 41453, 2966, 311, 327, 596, 403, 417 ]

[ 1, 33, 188, 1931, 14, 276, 248, 29360, 753, 15373, 14, 1472, 17624, 4827, 14555, 254, 20252, 414, 274, 520, 743, 2072, 1530, 16, 496, 295, 1510, 1657, 6567, 4076, 348, 17751, 3606, 6380, 14, 345, 34559, 328, 7738, 14, 347, 67, 17751, 27182, 311, 254, 13555, 10394, 301, 274, 11762, 449, 188, 37850, 16, 13751, 1472, 17624, 4827, 11473, 387, 16843, 282, 6522, 520, 4584, 14, 345, 1503, 452, 6139, 327, 248, 13555, 10394, 301, 311, 272, 24618, 314, 8915, 254, 4064, 554, 13440, 8071, 865, 327, 481, 330, 13555, 10394, 301, 311, 248, 27100, 327, 1582, 6395, 16, 6567, 286, 695, 44324, 2035, 282, 4304, 7955, 276, 3783, 15629, 311, 248, 1157, 1610, 274, 248, 13555, 10394, 301, 16, 330, 370, 19, 23, 6320, 580, 16, 9948, 479, 1912, 633, 17751, 3224, 1912, 328, 436, 580, 16, 1223, 310, 1856, 625, 1002, 4045, 368, 324, 618, 15359, 16, 0, 10023, 2067, 274, 4351, 286, 5294, 274, 254, 7056, 19770, 46206, 38250, 1771, 88, 749, 327, 500, 3930, 769, 53, 2700, 1647, 75, 9842, 48202, 6313, 666, 286, 5286, 4722, 35, 5867, 1540, 6527, 248, 22751, 274, 29571, 314, 8151, 43, 11, 324, 338, 23, 13205, 44, 19, 18, 18, 16, 17841, 510, 6564, 311, 282, 321, 2956, 387, 254, 4917, 274, 374, 18, 19, 27, 16, 1547, 587, 321, 13664, 687, 758, 248, 1034, 15, 3818, 16489, 11153, 16, 496, 1596, 14, 1081, 42578, 6527, 33927, 274, 30165, 2154, 14231, 272, 13205, 44, 19, 18, 18, 47139, 286, 2633, 1078, 16788, 314, 6602, 49, 11, 387, 418, 76, 2221, 76, 3126, 17806, 314, 10336, 13236, 570, 11, 6423, 188, 1590, 1130, 311, 772, 10986, 282, 7626, 343, 500, 3930, 769, 53, 2700, 1647, 75, 9842, 48202, 6313, 1590, 16, 3602, 587, 8869, 13447, 5286, 4722, 35, 5867, 1540, 11363, 2363, 5535, 16, 6236, 254, 2391, 763, 1090, 360, 497, 18374, 254, 13205, 44, 19, 18, 18, 1479, 286, 2144, 282, 254, 6280, 327, 512, 254, 7478, 286, 15500, 5164, 274, 436, 9690, 650, 4042, 1640, 324, 772, 14860, 7148, 1590, 1849, 749, 4570, 1048, 610, 320, 1020, 349, 16, 750, 669, 2790, 327, 13205, 44, 19, 18, 18, 4116, 650, 1545, 282, 3831, 624, 274, 254, 1615, 6075, 44, 286, 5867, 12739, 9690, 324, 330, 5716, 43, 2497, 16, 188, 510, 500, 3930, 769, 53, 2700, 1647, 75, 9842, 48202, 6313, 1590, 3792, 13280, 11558, 86, 44646, 4618, 28, 769, 1212, 8738, 327, 254, 13205, 44, 19, 18, 18, 841, 15, 42422, 1305, 387, 254, 5690, 282, 254, 5130, 2703, 933, 321, 10648, 36796, 286, 37954, 16, 19475, 343, 254, 5286, 4722, 35, 5867, 1540, 360, 587, 2706, 248, 5866, 9115, 286, 8478, 5833, 324, 13205, 44, 19, 18, 18, 387, 254, 418, 76, 2221, 76, 3126, 17806, 16, 2003, 2497, 4994, 587, 7688, 254, 15500, 13005, 274, 13205, 44, 19, 18, 18, 9690, 276, 2963, 1590, 16, 0, 35, 1241, 1722, 1631, 3259, 343, 31070, 1245, 314, 22970, 14, 4617, 14, 2330, 11, 286, 1914, 314, 35305, 579, 456, 286, 417, 27001, 456, 14373, 11, 348, 29981, 5497, 2533, 2607, 327, 254, 16075, 33911, 2666, 67, 6231, 7911, 555, 4774, 248, 624, 7077, 3798, 276, 254, 11183, 1213, 276, 254, 17247, 317, 1127, 3579, 16, 1260, 360, 2458, 254, 7794, 17366, 6977, 1238, 3102, 274, 2666, 67, 6231, 7911, 314, 20, 5658, 11, 4619, 254, 1240, 2114, 14, 360, 7735, 327, 254, 33911, 311, 6845, 274, 37794, 276, 254, 743, 19963, 16, 18568, 1238, 3102, 274, 1081, 2666, 67, 6231, 7911, 286, 254, 271, 2326, 307, 1760, 18307, 7857, 570, 2035, 67, 497, 1102, 282, 3570, 27001, 456, 5497, 14373, 14, 4501, 248, 2917, 2103, 11600, 276, 254, 1423, 14373, 16, 1993, 931, 14, 6865, 1754, 327, 254, 17366, 271, 2326, 1595, 14833, 3570, 47601, 5231, 680, 16, 18568, 17530, 13377, 274, 2666, 67, 6231, 7911, 497, 624, 17321, 276, 254, 4122, 15, 2313, 86, 11116, 8014, 16, 1678, 14, 20337, 13377, 274, 1760, 18307, 7857, 570, 2035, 67, 497, 7004, 5770, 276, 254, 5017, 732, 86, 11116, 1245, 14, 533, 5767, 327, 596, 452, 248, 1015, 10575, 8542, 432, 327, 2458, 324, 254, 6977, 1238, 3102, 274, 254, 16075, 33911, 16, 9673, 254, 32987, 3163, 869, 254, 6977, 1238, 3102, 274, 254, 763, 3307, 276, 254, 1240, 2586, 14, 254, 1841, 4865, 869, 836, 763, 3307, 311, 2696, 286, 5309, 16, 188, 4082, 88, 27372, 14, 500, 16, 1091, 374, 18, 18, 19, 16, 18100, 1296, 274, 254, 17247, 317, 1127, 3579, 14416, 68, 7190, 281, 7681, 16, 15558, 16, 4727, 16, 16824, 16, 401, 3101, 268, 14, 719, 28, 495, 19, 21, 15, 21, 21, 18, 16, 188, 37, 1980, 2139, 14, 354, 16, 44, 16, 1091, 374, 18, 18, 25, 16, 380, 416, 1926, 16, 29930, 16, 188, 41, 298, 10702, 87, 14, 354, 16, 54, 16, 286, 330, 16, 8709, 3883, 16, 1091, 338, 27, 25, 21, 16, 36434, 274, 254, 10575, 274, 254, 271, 2326, 307, 2666, 67, 6231, 7911, 418, 16, 328, 254, 43750, 34446, 274, 254, 5258, 11615, 16, 331, 2199, 293, 1743, 2323, 896, 607, 15, 24, 28, 374, 24, 21, 15, 20, 26, 27, 16, 188, 41, 298, 10702, 87, 14, 354, 16, 54, 16, 1091, 338, 27, 26, 19, 16, 29241, 274, 2666, 67, 6231, 7911, 7423, 276, 254, 10169, 628, 274, 254, 5258, 11615, 16, 331, 2199, 293, 1743, 2323, 896, 338, 22, 28, 338, 22, 23, 15, 19, 23, 26, 16, 188, 39763, 952, 28376, 14, 367, 16, 286, 500, 16, 35, 16, 427, 294, 491, 16, 1091, 338, 27, 26, 27, 16, 4078, 1659, 28631, 30440, 16, 35705, 286, 6519, 16, 188, 52, 9494, 13049, 10313, 16, 1091, 374, 18, 18, 25, 16, 416, 28, 248, 3335, 286, 3026, 324, 7404, 12323, 16, 416, 6625, 324, 17778, 36267, 16, 188, 56, 252, 4570, 283, 14, 378, 16, 286, 399, 16, 3635, 588, 78, 2641, 16, 1091, 374, 18, 18, 23, 16, 23481, 1918, 4901, 282, 7337, 11183, 28928, 407, 8415, 1617, 3360, 16, 23481, 1466, 14, 848, 24, 28, 495, 20, 19, 21, 15, 21, 20, 19, 26, 16, 0, 50, 1717, 15, 68, 1486, 283, 19, 20 ]

[ 1, 5952, 3108, 663, 311, 254, 1057, 2289, 348, 618, 24590, 5952, 16, 188, 3350, 254, 37443, 14032, 274, 2572, 14, 310, 6054, 343, 436, 1247, 14, 440, 1182, 518, 494, 7767, 328, 618, 13204, 286, 637, 2643, 436, 636, 457, 85, 20292, 16, 14674, 7061, 274, 25343, 254, 20292, 14, 254, 7767, 369, 4634, 16, 731, 369, 747, 310, 573, 637, 2643, 353, 561, 274, 479, 16, 1260, 310, 997, 888, 328, 618, 8106, 324, 2572, 282, 8265, 254, 7767, 37100, 14, 310, 7942, 353, 369, 436, 16170, 315, 10868, 7767, 327, 2572, 900, 282, 3377, 618, 3316, 21421, 2154, 14683, 276, 327, 2687, 16, 380, 7767, 3446, 272, 4873, 282, 618, 41834, 327, 311, 417, 348, 20635, 670, 248, 7767, 348, 436, 311, 11797, 16, 188, 43, 715, 248, 2298, 7793, 1012, 683, 310, 369, 282, 4541, 2572, 457, 85, 6206, 276, 254, 290, 1539, 327, 2701, 2740, 457, 85, 1575, 3834, 265, 276, 14444, 16, 1691, 555, 2572, 9988, 479, 939, 436, 944, 2746, 20292, 33, 4675, 18720, 254, 7767, 14, 11443, 12830, 14, 9892, 843, 1247, 353, 311, 324, 3614, 4924, 14, 254, 1575, 274, 2740, 276, 353, 7573, 2701, 441, 2196, 314, 20, 2995, 16, 338, 20, 28, 27, 15, 19, 18, 481, 188, 13248, 11418, 16, 839, 587, 3906, 282, 8265, 436, 1963, 14, 368, 286, 633, 5935, 1963, 597, 276, 15411, 16, 188, 1516, 10047, 11995, 282, 618, 2836, 14, 532, 387, 254, 1057, 671, 30715, 4528, 310, 4856, 248, 15411, 254, 1963, 3, 188, 50, 1376, 273, 324, 436, 1963, 14, 5552, 368, 324, 1129, 28954, 844, 282, 633, 1052, 3, 188, 1853, 1845, 14, 14073, 14, 310, 715, 28928, 343, 2572, 457, 85, 6607, 324, 633, 1464, 286, 436, 311, 1495, 1610, 274, 2936, 3834, 587, 276, 772, 4701, 16, 2556, 609, 328, 21082, 20501, 16, 18234, 2314, 286, 1125, 24056, 324, 368, 286, 633, 5935, 16, 188, 1212, 497, 436, 1963, 276, 338, 27, 27, 24, 14, 670, 310, 369, 248, 27170, 276, 618, 2318, 20335, 2801, 343, 248, 576, 15, 2823, 15, 741, 3122, 286, 248, 374, 15, 2823, 15, 741, 4855, 14, 286, 618, 2710, 13104, 324, 254, 2977, 596, 403, 17961, 1012, 286, 587, 3906, 282, 2705, 16, 310, 457, 79, 30003, 324, 729, 327, 596, 452, 248, 17727, 29566, 286, 5935, 1963, 1230, 3414, 587, 1041, 512, 254, 2967, 16, 310, 11586, 368, 14, 20219, 264, 12839, 648, 14, 286, 633, 5935, 417, 282, 7537, 729, 16, 5243, 19851, 282, 729, 555, 756, 12848, 343, 254, 20292, 16, 188, 8177, 368, 324, 9375, 633, 9604, 8442, 16, 2470, 254, 6032, 3906, 282, 1862, 368, 14032, 16, 188, 7701, 2524, 3502, 310, 637, 2643, 254, 20292, 324, 248, 8998, 636, 276, 772, 34648, 663, 4811, 387, 520, 1193, 3448, 561, 274, 254, 4647, 16, 750, 1628, 3108, 248, 2784, 4335, 286, 1330, 1401, 16, 750, 369, 618, 3224, 16, 750, 369, 4603, 3103, 276, 254, 1464, 274, 254, 5935, 286, 520, 7922, 555, 643, 15645, 2746, 324, 1125, 16, 839, 403, 1311, 276, 254, 1213, 274, 26971, 16, 188, 43, 4603, 2033, 633, 7767, 16, 826, 369, 624, 683, 2746, 286, 2906, 1623, 1038, 457, 86, 513, 8205, 282, 254, 7767, 274, 11874, 633, 1193, 20367, 286, 254, 20367, 274, 2489, 16, 496, 618, 2094, 15, 2523, 2705, 14, 310, 1141, 254, 8756, 286, 12096, 282, 301, 274, 1093, 1842, 286, 836, 1364, 1603, 2524, 587, 3191, 343, 479, 324, 248, 1034, 671, 16, 1268, 387, 254, 1057, 671, 626, 311, 10725, 276, 1129, 2041, 282, 2849, 343, 3732, 939, 254, 17328, 274, 254, 11864, 274, 2393, 286, 282, 915, 7467, 1225, 276, 1033, 2687, 16, 731, 311, 580, 274, 254, 440, 420, 280, 494, 649, 1895, 327, 2572, 4107, 441, 276, 772, 27134, 2177, 16, 188, 43, 457, 307, 573, 248, 2013, 2705, 16, 374, 1090, 3502, 360, 13820, 248, 21082, 6480, 387, 772, 5935, 14, 2584, 407, 2832, 276, 520, 2318, 607, 18, 85, 286, 5938, 248, 4335, 314, 9736, 369, 31954, 273, 248, 5769, 324, 248, 1250, 671, 11, 286, 374, 28348, 18808, 16, 188, 13248, 369, 1062, 1157, 282, 441, 939, 254, 2560, 2705, 14, 22711, 2156, 276, 254, 1026, 368, 2448, 16, 188, 3912, 2115, 360, 403, 13388, 274, 1091, 254, 10227, 6244, 1464, 311, 2743, 15, 13450, 286, 360, 403, 3004, 417, 24116, 2151, 282, 1141, 327, 1093, 1789, 327, 403, 1640, 324, 441, 403, 7723, 254, 23947, 16, 2003, 650, 321, 282, 1041, 248, 12675, 1723, 274, 254, 10271, 3038, 16, 188, 25, 367, 721, 17, 23099, 11935, 324, 347, 1253, 1143, 618, 944, 3225, 20292, 254, 944, 2746, 310, 452, 2378, 637, 2643, 859, 0, 47, 5232, 3006, 553, 325, 428, 22996, 2556, 1027, 15289, 15397, 1599, 469, 4918, 328, 309, 15, 38008, 1027, 27311, 1572, 9398, 16737, 69, 16, 188, 5897, 22996, 2556, 3006, 553, 325, 3144, 343, 495, 23, 14129, 590, 5362, 286, 311, 1174, 90, 16, 495, 4, 1246, 495, 3333, 1547, 1441, 1247, 324, 2328, 3056, 8143, 14, 12594, 15, 15161, 14, 286, 2099, 4105, 14, 348, 963, 348, 18039, 3199, 273, 16, 38826, 7446, 3, 0, 510, 5527, 324, 1125, 942, 2966, 311, 4419, 254, 977, 4682, 30033, 16, 380, 22906, 1162, 274, 4682, 12101, 5710, 3622, 561, 348, 769, 9491, 13650, 45375, 1756, 2701, 353, 248, 45327, 4686, 387, 1640, 16, 731, 311, 6742, 603, 368, 865, 748, 282, 997, 324, 14, 532, 327, 4279, 272, 7719, 3177, 274, 748, 4414, 368, 961, 432, 272, 26834, 2860, 16, 188, 2943, 12352, 324, 248, 743, 1096, 14, 1125, 942, 865, 14, 1051, 282, 254, 6400, 590, 44871, 14, 748, 596, 403, 2731, 324, 276, 3277, 14, 5098, 7269, 14, 15388, 5192, 14, 286, 3821, 3340, 16, 1268, 254, 2379, 26228, 276, 248, 1096, 7274, 311, 254, 8756, 4458, 254, 22183, 555, 343, 254, 1096, 286, 843, 353, 13432, 254, 22183, 457, 85, 1839, 14, 17701, 14, 43716, 286, 2025, 28302, 328, 1464, 16, 330, 22183, 5887, 345, 555, 1143, 254, 977, 4188, 276, 8235, 14, 417, 387, 254, 2687, 274, 7274, 14, 532, 5157, 348, 596, 14122, 713, 254, 6082, 457, 85, 7126, 286, 1577, 254, 37293, 2165 ]

[ 1, 25211, 4566, 27449, 836, 4221, 286, 3899, 6750, 16, 188, 1128, 17865, 274, 15127, 338, 2517, 14, 1648, 743, 29246, 14, 27179, 286, 2165, 6750, 16, 188, 13690, 338, 14, 14770, 3135, 374, 25, 14, 21244, 576, 28, 32611, 286, 1587, 16, 0, 54, 11411, 282, 2536, 248, 3189, 324, 618, 743, 48200, 5232, 1708, 328, 618, 4013, 1160, 351, 418, 20770, 16, 7927, 2514, 15041, 311, 1438, 276, 1689, 2065, 314, 4465, 2034, 883, 872, 248, 743, 48200, 5232, 481, 380, 9478, 311, 3524, 4647, 343, 248, 1665, 22415, 286, 27202, 22415, 752, 591, 14, 286, 254, 15041, 587, 321, 30231, 16, 41762, 668, 2718, 324, 254, 48200, 5232, 16, 8707, 48200, 5232, 311, 22415, 16, 1691, 341, 9, 455, 1141, 33, 188, 31592, 282, 915, 248, 14009, 274, 254, 9478, 16, 188, 43, 747, 254, 495, 3189, 48200, 21475, 248, 41645, 16, 188, 33782, 747, 254, 31254, 452, 353, 16, 45978, 282, 1470, 272, 2382, 286, 353, 15875, 625, 2367, 16, 330, 3123, 1037, 2798, 2622, 16, 188, 3513, 328, 5396, 706, 997, 597, 2349, 747, 347, 68, 304, 5232, 2150, 4, 390, 347, 13613, 48200, 5232, 3333, 22303, 254, 7758, 274, 254, 4254, 368, 747, 16, 2552, 2241, 282, 665, 9478, 7109, 390, 23071, 276, 633, 2104, 706, 1602, 324, 597, 10877, 32270, 8745, 12298, 276, 633, 2104, 16, 2552, 1354, 1093, 7758, 282, 580, 274, 1093, 16527, 706, 1602, 324, 272, 6465, 16, 14087, 321, 248, 9394, 3364, 2545, 7103, 633, 6231, 625, 2367, 1444, 248, 15041, 14, 391, 7112, 14, 17486, 14, 3838, 16, 310, 1141, 2718, 343, 321, 8991, 34932, 650, 997, 2978, 515, 16, 188, 18296, 321, 248, 9394, 3364, 2545, 7103, 633, 6231, 625, 2367, 1444, 248, 15041, 14, 391, 7112, 14, 17486, 14, 3838, 16, 310, 1141, 2718, 343, 321, 8991, 34932, 650, 997, 2978, 515, 16, 0, 2943, 353, 3144, 282, 25080, 254, 2042, 4395, 31016, 20512, 254, 5215, 16, 188, 1516, 311, 417, 254, 1068, 343, 2666, 38194, 33199, 1558, 53, 2101, 14, 533, 311, 272, 512, 15, 250, 15, 530, 8276, 15799, 512, 254, 2518, 14, 1096, 1720, 14, 2745, 460, 286, 13256, 6590, 368, 872, 282, 1041, 5534, 15545, 16, 188, 1253, 311, 33199, 1558, 53, 1143, 432, 33, 188, 2976, 15, 250, 15, 530, 25546, 819, 348, 33199, 1558, 53, 403, 1157, 324, 1093, 663, 513, 417, 961, 282, 563, 939, 254, 2977, 274, 3089, 2624, 1999, 3462, 14, 7422, 13492, 368, 671, 286, 2501, 16, 188, 1516, 1748, 8276, 4288, 16961, 3901, 17449, 259, 1781, 314, 20, 18, 73, 590, 8298, 9169, 581, 533, 452, 643, 2790, 974, 596, 3603, 2269, 687, 272, 6334, 2114, 274, 671, 16, 188, 1130, 669, 4288, 1081, 20222, 286, 20720, 4185, 314, 21, 18, 73, 590, 9169, 581, 533, 587, 1336, 343, 26656, 8478, 286, 3017, 16, 188, 20530, 460, 311, 669, 1225, 314, 23, 73, 590, 9169, 581, 533, 4343, 324, 8429, 6441, 286, 4609, 15545, 16, 188, 10687, 14, 33199, 1558, 53, 4288, 388, 8937, 314, 19, 16, 23, 73, 581, 533, 555, 643, 2790, 282, 254, 7021, 593, 348, 282, 6384, 6441, 2209, 286, 282, 3570, 1841, 5633, 40871, 16, 188, 42, 322, 21218, 1558, 53, 311, 2066, 276, 338, 23, 1015, 7831, 2045, 1648, 35378, 14, 13962, 14, 17336, 12488, 286, 440, 1235, 579, 9443, 16, 188, 2432, 311, 9567, 274, 4188, 324, 3997, 14, 1002, 254, 38327, 10282, 933, 321, 2041, 282, 1074, 248, 32891, 327, 596, 747, 16, 188, 2275, 1181, 1042, 33199, 1558, 53, 2042, 33, 188, 1253, 5085, 436, 8276, 7224, 432, 512, 254, 1515, 311, 695, 4236, 14, 533, 670, 2352, 282, 642, 1708, 9889, 17236, 311, 33932, 16, 188, 12510, 7695, 23659, 2083, 457, 85, 1640, 22953, 8276, 24239, 530, 324, 1610, 14, 254, 374, 16, 25, 5673, 2629, 4665, 7943, 25, 25, 1205, 33199, 1558, 53, 4665, 248, 1181, 624, 17740, 7943, 21, 22, 16, 27, 27, 324, 374, 16, 23, 5673, 16, 188, 9334, 254, 607, 5673, 7156, 4665, 1637, 387, 811, 7943, 24, 20, 16, 27, 27, 16, 188, 42, 322, 21218, 1558, 53, 311, 2156, 2066, 328, 7096, 387, 2666, 38194, 16, 679, 593, 1920, 272, 4977, 561, 282, 2536, 597, 272, 1002, 8522, 26914, 16, 188, 42, 322, 21218, 1558, 53, 311, 3989, 8298, 603, 368, 961, 282, 915, 5534, 15545, 387, 248, 26914, 4236, 16, 188, 1516, 512, 15, 250, 15, 530, 8276, 311, 687, 2630, 254, 4236, 274, 254, 4489, 24239, 530, 8276, 14, 532, 5961, 2674, 254, 1057, 5215, 16, 188, 6972, 282, 4349, 33199, 1558, 53, 33, 188, 1130, 933, 1663, 348, 641, 9080, 327, 254, 1640, 1619, 282, 4349, 2666, 38194, 33199, 1558, 53, 311, 432, 254, 3449, 2666, 38194, 4282, 16, 188, 3602, 11882, 327, 615, 7702, 587, 417, 321, 20085, 14, 343, 1903, 1689, 1362, 6564, 324, 7172, 687, 7943, 19, 18, 18, 16, 0, 47096, 15418, 361, 12239, 1760, 23543, 274, 21404, 34939, 16, 9175, 561, 436, 3425, 432, 14531, 15418, 361, 12239, 1869, 1760, 23543, 274, 21404, 34939, 16, 188, 39253, 6414, 8456, 28, 14531, 15418, 361, 12239, 1091, 4447, 74, 8717, 401, 86, 16, 500, 401, 16, 46, 16, 49, 16, 0, 44866, 26669, 12616, 311, 248, 12699, 2986, 2868, 276, 695, 1250, 802, 16, 380, 2843, 311, 2875, 28, 913, 11021, 31150, 276, 44955, 529, 12684, 3126, 16, 3006, 756, 311, 353, 248, 790, 286, 1903, 2288, 4024, 324, 254, 1963, 14, 532, 353, 669, 22683, 3015, 2672, 343, 1004, 642, 286, 343, 1922, 9094, 286, 8660, 16, 380, 11021, 403, 4024, 282, 4408, 282, 942, 274, 512, 11559, 14, 286, 1063, 1004, 9028, 626, 587, 321, 1015, 4566, 14, 3327, 14, 286, 2094, 6415, 16, 28319, 441, 282, 915, 248, 6268, 14, 2445, 633, 15393, 14, 286, 16545, 5603, 276, 529, 12684, 3126, 3, 0, 22698, 1146, 1334, 1125, 20199, 1042, 29869, 92, 858, 28188, 8550, 432, 388, 12328, 282, 3325, 41, 33, 188, 31671, 1146, 29869, 92, 858, 28188, 19250, 338, 19, 21, 20199, 1033, 1722, 869, 388, 12328, 286, 3325, 41, 16, 188, 14068, 38555, 311, 9714, 282, 3831, 688, 274, 254, 8612, 4060, 373, 328, 29869, 92, 858, 28188, 20199, 432, 37510 ]

[ 1, 10047, 695, 12367, 91, 5194, 1232, 16, 380, 39568, 403, 1157, 5252, 14, 3396, 390, 387, 2244, 3171, 16, 188, 1368, 476, 14906, 276, 688, 617, 1120, 265, 10859, 14, 282, 19194, 14, 23933, 8461, 8128, 390, 29916, 603, 368, 1817, 747, 16, 21941, 315, 804, 17892, 265, 13457, 27325, 818, 248, 6450, 4611, 14, 7158, 1642, 16, 330, 30741, 7047, 328, 1708, 311, 248, 1157, 2843, 1480, 16, 188, 57, 294, 15, 26922, 5464, 427, 831, 862, 314, 669, 900, 324, 2328, 448, 320, 479, 250, 11, 403, 248, 1157, 4188, 324, 436, 13242, 1480, 16, 310, 1074, 729, 276, 618, 3835, 2703, 16, 323, 26155, 39568, 650, 785, 1480, 16, 14933, 417, 282, 687, 28475, 254, 39568, 16, 1547, 933, 3351, 5612, 1144, 21695, 286, 417, 1892, 1936, 16, 188, 41120, 2271, 479, 250, 39568, 476, 321, 1102, 387, 944, 11334, 24791, 9844, 16, 188, 20, 18309, 274, 18622, 12028, 16, 310, 889, 439, 891, 87, 16, 188, 1934, 505, 254, 16063, 482, 12567, 276, 248, 1330, 5909, 38098, 3096, 14, 328, 4502, 4112, 14, 1863, 13688, 286, 5752, 4840, 14, 1129, 9915, 417, 282, 5291, 729, 16, 9027, 254, 12567, 713, 248, 1733, 11320, 841, 282, 14268, 16, 18568, 546, 512, 274, 254, 28973, 713, 254, 11320, 343, 254, 16063, 482, 12567, 16, 1939, 366, 254, 26220, 713, 254, 11320, 286, 818, 254, 47460, 43995, 620, 14, 18622, 12028, 14, 47419, 16063, 482, 4032, 14, 8993, 4032, 286, 248, 31952, 390, 763, 274, 6856, 16, 188, 32244, 254, 652, 357, 42523, 2474, 282, 254, 5362, 7787, 16, 2028, 353, 434, 2674, 2152, 12061, 14, 14906, 276, 254, 8534, 27325, 286, 12309, 16, 9027, 254, 652, 357, 42523, 286, 8534, 27325, 713, 254, 1733, 11320, 343, 512, 254, 642, 12347, 286, 14906, 282, 13033, 16, 309, 4593, 16, 28650, 254, 6856, 286, 818, 624, 16063, 482, 4032, 603, 2961, 16, 33863, 343, 665, 274, 254, 1788, 13610, 16, 188, 3885, 3, 826, 4313, 593, 6814, 5198, 1419, 759, 3, 310, 2314, 254, 8840, 274, 16063, 482, 286, 476, 625, 3236, 282, 1574, 836, 39568, 3, 188, 12412, 34596, 14, 9127, 593, 1181, 3, 310, 3409, 368, 1574, 353, 16, 26632, 11658, 273, 3, 0, 9936, 318, 31095, 11750, 3577, 5080, 24119, 10381, 16, 14920, 318, 387, 85, 24119, 10381, 3762, 16, 14920, 318, 24119, 10381, 25040, 373, 579, 3874, 16, 14920, 318, 387, 85, 24119, 10381, 6013, 3300, 16, 19286, 11282, 3577, 5080, 247, 26872, 4259, 2700, 16, 16769, 3577, 5080, 24119, 10381, 286, 16, 14920, 318, 13771, 24119, 10381, 5337, 266, 1194, 12239, 375, 285, 16, 14920, 318, 387, 85, 24119, 10381, 3300, 8322, 16, 19612, 5774, 286, 14828, 1275, 1575, 3462, 260, 1559, 16, 14920, 318, 11750, 3577, 5080, 24119, 10381, 33534, 16, 14920, 318, 387, 85, 24119, 10381, 6013, 3300, 16, 14920, 318, 11750, 3577, 5080, 24119, 10381, 33534, 16, 14920, 318, 11750, 3577, 5080, 24119, 10381, 33534, 16, 19612, 5774, 286, 14828, 1275, 1575, 3462, 260, 1559, 16, 14920, 318, 11750, 3577, 5080, 24119, 10381, 1640, 274, 16, 411, 4123, 10381, 324, 996, 318, 3577, 5080, 254, 16, 14920, 318, 11750, 3577, 5080, 24119, 10381, 1640, 274, 16, 14920, 318, 11750, 3577, 5080, 24119, 10381, 2257, 16, 444, 1799, 386, 3577, 5080, 24119, 10381, 16, 14920, 318, 387, 85, 24119, 31291, 1964, 5080, 5212, 16, 0, 18702, 18803, 13227, 1640, 1096, 18147, 17328, 6248, 282, 31108, 249, 2168, 315, 282, 10488, 74, 276, 254, 16, 3730, 403, 688, 12928, 14696, 286, 21205, 8735, 276, 1046, 262, 14, 360, 10011, 687, 286, 687, 959, 348, 1034, 348, 368, 2374, 561, 436, 5435, 368, 1862, 248, 7803, 15882, 311, 7729, 888, 282, 248, 22223, 1269, 14, 1602, 772, 9804, 16, 4978, 2008, 14, 4190, 15340, 2871, 624, 276, 1360, 343, 254, 1026, 327, 685, 853, 663, 311, 821, 5486, 2233, 4548, 13227, 276, 13227, 1464, 374, 18, 19, 27, 883, 3156, 687, 282, 915, 729, 16, 1286, 701, 311, 17252, 14, 2185, 3407, 597, 14, 276, 2349, 274, 13227, 14, 16642, 286, 7618, 276, 254, 30366, 286, 1640, 254, 11287, 16, 2141, 14, 353, 4049, 85, 1837, 282, 1074, 248, 8927, 274, 533, 5580, 10876, 1640, 17328, 1096, 18147, 621, 6231, 4049, 86, 2486, 6425, 16, 188, 1130, 311, 248, 13227, 2288, 28048, 407, 5779, 324, 16, 4925, 14, 532, 2570, 747, 282, 17328, 247, 1824, 865, 248, 5435, 1063, 345, 8950, 479, 597, 14, 417, 12064, 254, 6237, 328, 633, 21024, 6394, 16, 23366, 258, 22147, 435, 286, 356, 28536, 1096, 73, 586, 16, 1286, 633, 21591, 1845, 11055, 520, 3056, 14, 286, 1640, 621, 1096, 18147, 948, 327, 345, 369, 5940, 276, 479, 4315, 1480, 1157, 16, 610, 1473, 955, 324, 13227, 944, 7692, 10156, 16, 34081, 492, 851, 17067, 21133, 15, 1188, 851, 294, 357, 2185, 324, 3783, 13227, 16, 24661, 10308, 484, 17328, 41302, 1509, 570, 16, 188, 6264, 1096, 18147, 248, 1408, 10831, 311, 1852, 366, 2151, 276, 1633, 282, 254, 385, 16, 2666, 1390, 13227, 1640, 6213, 7252, 16, 1427, 341, 1049, 2758, 14, 835, 353, 4049, 85, 417, 42297, 282, 1394, 729, 328, 16, 7644, 669, 16154, 324, 295, 5148, 621, 3483, 432, 4785, 19043, 6574, 16, 188, 2750, 2139, 1640, 13227, 1096, 18147, 1726, 14, 7315, 5085, 14, 2225, 1512, 951, 16, 10264, 4458, 4950, 687, 248, 2114, 274, 13227, 1096, 18147, 17328, 1640, 580, 2065, 14, 369, 2565, 3783, 13227, 4024, 282, 4646, 254, 46715, 274, 4419, 248, 7626, 276, 254, 801, 16, 1180, 13227, 6577, 2561, 40273, 374, 18, 19, 27, 39314, 276, 6437, 15, 20008, 1688, 913, 480, 405, 281, 518, 18035, 343, 465, 18035, 374, 18, 19, 27, 9831, 1193, 7928, 16, 399, 834, 621, 17328, 368, 476, 751, 39464, 343, 248, 1956, 636, 390, 248, 4855, 276, 502, 10171, 15, 38512, 14394, 16, 188, 38993, 484, 343, 1922, 6649, 815, 5632, 286, 16, 2997, 11328, 3074, 282, 6465, 254, 3196, 4573, 274, 5952, 1830, 407, 248, 18531, 2725, 13227, 1096, 18147, 272, 311, 3645, 1380, 16, 11107, 407, 2001, 258, 4179, 687, 432, 2950, 20620, 1640, 407, 1284, 325, 36197, 753, 27225, 480, 639, 286, 1284, 325, 16, 0, 10028, 335, 67, 2956, 343, 367, 11041 ]

[ 1, 7177, 37902, 266, 324, 1656, 15, 24138, 286, 1017, 30626, 5885, 16, 3699, 13112, 403, 900, 276, 33819, 7591, 14, 33819, 2080, 8346, 14, 1830, 5022, 14, 33853, 286, 1745, 43924, 2479, 16, 657, 1893, 443, 2249, 266, 276, 3605, 9495, 16, 188, 3269, 248, 26211, 5574, 265, 276, 248, 4188, 274, 3462, 14, 500, 4481, 5961, 37489, 27388, 432, 254, 4351, 457, 85, 4144, 16140, 16, 3699, 37489, 10773, 26349, 403, 274, 248, 20211, 286, 25406, 2069, 3616, 286, 2408, 819, 16140, 348, 378, 1376, 14, 411, 2229, 14, 286, 6132, 29575, 16, 839, 669, 4319, 37489, 519, 47871, 286, 21968, 2317, 16, 657, 1893, 443, 2249, 266, 276, 11769, 16, 188, 45, 382, 2081, 15, 47, 9977, 311, 1873, 324, 9995, 7177, 37902, 266, 324, 248, 1162, 274, 16582, 1648, 10314, 34763, 14, 31961, 14, 2269, 14, 3615, 14, 2080, 10602, 286, 624, 16, 1260, 248, 4022, 6480, 274, 3360, 37902, 266, 14, 3195, 1317, 286, 806, 39964, 360, 403, 30934, 282, 2023, 772, 6211, 343, 254, 1062, 1640, 16, 7560, 1862, 441, 248, 1052, 2966, 282, 2941, 624, 1460, 3, 657, 1893, 443, 2249, 266, 276, 3561, 9495, 16, 188, 6687, 2145, 38139, 706, 13493, 311, 1873, 324, 9995, 7177, 37902, 266, 324, 248, 1162, 274, 16582, 1648, 10314, 34763, 14, 31961, 14, 2269, 14, 3615, 14, 2080, 10602, 286, 624, 16, 1260, 248, 4022, 6480, 274, 3360, 37902, 266, 14, 3195, 1317, 286, 806, 39964, 360, 403, 30934, 282, 2023, 772, 6211, 343, 254, 1062, 1640, 16, 7560, 1862, 441, 248, 1052, 2966, 282, 2941, 624, 1460, 3, 657, 1893, 443, 2249, 266, 276, 9137, 16, 188, 29481, 420, 10126, 2801, 457, 3736, 2413, 274, 9526, 3195, 1317, 286, 3377, 13112, 4589, 12409, 72, 3094, 13923, 4163, 14, 8920, 473, 3069, 85, 1656, 2042, 286, 1017, 13005, 14, 4892, 31310, 3195, 1317, 324, 1017, 2949, 390, 4311, 17893, 14, 286, 26745, 8410, 15471, 324, 248, 9377, 1026, 282, 2475, 7663, 3373, 3377, 597, 282, 6582, 274, 12168, 16, 11721, 1296, 311, 5740, 324, 1017, 4500, 473, 3069, 4742, 16, 657, 1893, 443, 2249, 266, 276, 9137, 16, 0, 49, 22891, 570, 3523, 5865, 314, 35, 537, 660, 14, 21678, 11, 274, 254, 2185, 434, 16642, 2214, 555, 643, 4099, 348, 254, 40993, 6640, 47423, 26079, 15738, 15, 46542, 2446, 274, 254, 12315, 1527, 272, 15931, 2949, 276, 254, 6191, 436, 2391, 8621, 276, 248, 1177, 15, 47441, 343, 12913, 12720, 286, 5848, 1704, 2341, 16, 188, 9139, 5865, 14, 248, 8251, 4626, 6693, 2135, 387, 40993, 6640, 14, 1810, 313, 254, 1250, 1742, 274, 254, 576, 18, 18, 1112, 2139, 25397, 282, 8165, 742, 254, 2445, 14, 348, 701, 7221, 18420, 13480, 14, 2955, 28146, 16179, 31378, 286, 6797, 11568, 21531, 2139, 282, 4565, 248, 1250, 15, 4919, 8195, 276, 254, 2288, 16, 4186, 626, 14, 3523, 5865, 14, 650, 563, 328, 282, 3223, 254, 338, 18, 18, 5818, 25134, 343, 248, 671, 274, 338, 28, 19, 18, 16, 18, 20, 286, 254, 374, 18, 18, 5818, 25134, 343, 248, 671, 274, 374, 28, 20, 25, 16, 21, 18, 14, 1205, 669, 15175, 1250, 276, 254, 338, 18, 18, 3974, 12122, 343, 248, 671, 274, 607, 23, 16, 18, 26, 7061, 16, 0, 6128, 747, 665, 642, 1479, 274, 1361, 14, 2072, 14, 390, 5833, 14, 27547, 1853, 706, 2779, 4184, 4273, 476, 889, 2591, 3310, 282, 615, 5585, 16, 188, 31689, 53, 7626, 286, 4282, 11399, 1997, 18150, 8467, 555, 996, 3955, 5740, 282, 3768, 436, 4081, 6915, 343, 772, 10390, 3, 188, 1516, 300, 11988, 587, 9537, 368, 3148, 368, 872, 282, 865, 282, 1242, 25829, 343, 39236, 276, 254, 7681, 368, 8494, 14, 348, 963, 348, 1093, 368, 961, 282, 8494, 276, 254, 2764, 3, 188, 5338, 625, 321, 27444, 456, 407, 2591, 3310, 428, 19082, 353, 16, 826, 300, 11988, 587, 913, 368, 843, 16, 188, 3513, 353, 1012, 407, 12514, 276, 254, 825, 282, 254, 977, 16, 0, 510, 10781, 2214, 573, 248, 9138, 671, 12519, 343, 512, 254, 4863, 387, 254, 3970, 7735, 47540, 3413, 19, 26, 16, 188, 4792, 311, 615, 3055, 1354, 12249, 1581, 432, 254, 12304, 16, 188, 1212, 997, 3461, 282, 12519, 343, 368, 959, 1689, 802, 3, 188, 11478, 10938, 18700, 286, 20934, 20113, 1143, 615, 3252, 3428, 436, 802, 343, 248, 4474, 2413, 274, 23943, 23288, 353, 276, 615, 3134, 16, 188, 42, 10201, 924, 403, 295, 20475, 615, 7617, 286, 7067, 2815, 282, 34592, 282, 1649, 1338, 2824, 286, 8906, 276, 1033, 4659, 16, 188, 3269, 272, 3509, 1162, 274, 19645, 13822, 14, 248, 7363, 11358, 324, 512, 1738, 8660, 311, 248, 1339, 16, 188, 28246, 5322, 476, 321, 900, 282, 24243, 3011, 3753, 931, 14, 7065, 7663, 2517, 282, 1305, 1738, 1521, 637, 412, 286, 1470, 412, 348, 963, 348, 1041, 11405, 272, 9647, 628, 274, 1464, 343, 248, 4474, 2413, 274, 8033, 494, 3963, 16, 188, 3269, 593, 1181, 6604, 14, 254, 2165, 7720, 47484, 1311, 3351, 428, 732, 15, 2145, 1402, 286, 372, 11651, 282, 4646, 46715, 276, 254, 9830, 1213, 16, 0, 1516, 311, 628, 848, 274, 338, 21, 1789, 282, 513, 1063, 254, 801, 1362, 274, 2079, 16, 188, 43, 457, 79, 248, 5715, 42935, 327, 248, 42521, 14, 1205, 417, 254, 2811, 282, 512, 3133, 14, 476, 321, 22318, 276, 25297, 272, 5751, 1362, 16, 5329, 387, 2436, 26419, 2421, 2636, 254, 1294, 274, 248, 2875, 607, 3109, 42521, 324, 29393, 272, 7808, 16, 188, 8828, 27285, 452, 643, 276, 889, 407, 1299, 10660, 324, 1090, 14, 286, 254, 1865, 3108, 729, 311, 974, 596, 785, 16, 4966, 13883, 457, 85, 26719, 18789, 34383, 669, 11098, 254, 1294, 274, 10611, 286, 25297, 8663, 16, 188, 3350, 5983, 580, 390, 624, 10611, 14, 368, 1903, 597, 633, 2482, 314, 395, 633, 5805, 457, 85, 13471, 481, 188, 1368, 476, 2654, 633, 1581, 597, 407, 671, 274, 1362, 603, 368, 961, 14, 532, 310, 3673, 1920, 7280, 348, 580, 1581, 16, 3826, 633, 5157, 1581, 756, 4288, 4806, 327, 368, 513, 5157, 16, 1180, 642, 8663, 327, 872, 282, 321, 2152, 14, 310, 452, 248, 2966, 1581, 16, 1993, 403, 4806, 327 ]

[ 1, 36020, 3288, 324, 16, 6529, 2916, 29, 8556, 406, 293, 42349, 34581, 379, 306, 4981, 16, 1884, 16, 8556, 406, 293, 42349, 34581, 379, 16, 1299, 406, 293, 14650, 3480, 77, 1711, 270, 285, 81, 16, 8556, 406, 293, 42349, 47195, 8832, 16, 188, 46749, 34581, 379, 1209, 25503, 333, 5911, 5541, 606, 932, 1180, 28046, 16, 27880, 432, 813, 20, 31782, 282, 1074, 254, 1640, 32227, 34581, 379, 1209, 25503, 333, 5911, 5541, 606, 932, 407, 9630, 706, 30217, 2734, 368, 16, 188, 36095, 374, 18, 18, 25, 444, 5747, 6075, 2921, 17922, 38967, 19, 20, 18, 14, 374, 18, 18, 26, 444, 5747, 6075, 2921, 17922, 38967, 27, 18, 387, 19713, 15586, 2219, 6302, 16, 679, 428, 10421, 338, 274, 338, 16, 188, 36, 72, 25, 18, 20, 34581, 379, 18343, 293, 1180, 28046, 16, 839, 403, 16649, 282, 3768, 772, 3638, 286, 2705, 328, 6326, 9115, 343, 4076, 16, 839, 403, 16649, 282, 7798, 343, 4076, 282, 4672, 615, 11861, 286, 865, 15, 5270, 85, 328, 6326, 9115, 16, 188, 9454, 374, 26, 14, 374, 18, 19, 26, 6084, 3730, 276, 436, 9956, 3434, 368, 476, 915, 1599, 2736, 274, 1125, 1015, 27001, 2317, 16, 496, 39649, 9956, 3434, 35832, 15540, 15311, 44317, 8226, 46162, 726, 34361, 378, 7024, 80, 272, 340, 858, 16, 188, 13056, 324, 900, 18343, 293, 36020, 3288, 16, 9720, 1822, 87, 14, 2371, 14, 1140, 17142, 32802, 14, 14831, 14, 8452, 7862, 14, 443, 7519, 14, 12607, 5302, 30046, 14, 19109, 605, 14, 38840, 5343, 14, 14458, 79, 606, 324, 7096, 328, 19713, 250, 892, 16, 188, 34733, 36020, 3288, 324, 7096, 387, 354, 42559, 4953, 16, 3730, 403, 512, 254, 10234, 16102, 343, 900, 36020, 3288, 2066, 324, 7096, 16, 34581, 379, 38967, 890, 18, 36020, 379, 21525, 3730, 311, 248, 3316, 1581, 274, 900, 36020, 3288, 324, 7096, 16, 4906, 15597, 1223, 14763, 15214, 29, 900, 271, 72, 719, 18, 390, 271, 72, 813, 18, 36020, 379, 21525, 428, 3505, 442, 23952, 16, 25814, 38967, 719, 18, 16, 19, 34581, 379, 18343, 293, 16, 31342, 10771, 1146, 6075, 22, 10244, 274, 28367, 459, 1146, 954, 188, 9554, 1116, 20435, 36020, 379, 324, 7096, 276, 5796, 1348, 16, 8832, 29, 1250, 1116, 20435, 36020, 379, 324, 7096, 276, 5796, 1348, 29, 3239, 416, 13988, 403, 9456, 416, 8351, 6789, 27962, 45, 374, 16, 719, 795, 14, 848, 15964, 4474, 338, 24, 15964, 8845, 16, 576, 274, 11800, 4568, 3881, 3410, 4764, 2674, 743, 16, 338, 274, 38967, 6901, 5800, 1822, 11989, 1893, 309, 17, 35, 338, 18, 7, 28111, 16, 338, 274, 15419, 14867, 708, 6380, 330, 17, 54, 338, 18, 7, 28111, 16, 188, 4792, 276, 436, 9956, 3434, 368, 476, 915, 1599, 2736, 274, 1125, 1015, 27001, 2317, 16, 496, 39649, 9956, 3434, 35832, 15540, 15311, 44317, 8226, 46162, 726, 34361, 378, 7024, 80, 272, 340, 858, 16, 188, 1130, 311, 248, 21525, 36020, 379, 7273, 324, 27001, 2317, 4832, 432, 338, 22, 15847, 16, 14608, 282, 4502, 1921, 36200, 7180, 403, 254, 7250, 2809, 324, 436, 4992, 28, 25085, 538, 14, 19166, 27609, 14, 27001, 568, 14, 42625, 14, 286, 3843, 785, 276, 9839, 286, 32712, 3551, 16, 188, 43, 12574, 8422, 494, 1575, 16, 323, 31484, 324, 27001, 2317, 26527, 687, 576, 21, 15847, 14, 254, 21525, 36020, 379, 38967, 338, 21, 23, 16, 26, 369, 3446, 282, 2445, 254, 2107, 3095, 274, 36200, 276, 24874, 2177, 14, 324, 28089, 27609, 5704, 276, 2575, 43064, 16, 188, 26373, 374, 20, 14, 374, 18, 19, 25, 6084, 11631, 428, 22528, 16216, 255, 16, 380, 22528, 16216, 255, 311, 248, 671, 11156, 14, 13405, 37353, 3616, 14, 2209, 27001, 1065, 900, 17652, 276, 254, 5374, 4987, 286, 14650, 22528, 38515, 16, 188, 17450, 374, 22, 14, 374, 18, 19, 24, 6084, 22619, 19, 21, 1558, 19, 20, 18, 15745, 19, 20, 4704, 39917, 38013, 19156, 30622, 13751, 3313, 19156, 30622, 10430, 7361, 900, 276, 4950, 783, 14268, 4992, 14, 3894, 5339, 14, 36020, 379, 286, 642, 13659, 282, 2196, 954, 555, 643, 276, 6044, 21479, 14, 19173, 14, 20325, 14, 13597, 14, 18612, 14, 14650, 14, 9822, 14, 3838, 954, 188, 82, 5236, 274, 900, 8577, 36020, 379, 276, 254, 1976, 379, 5886, 16, 655, 759, 89, 313, 263, 376, 5267, 367, 1743, 7326, 369, 900, 282, 1074, 28, 7702, 274, 900, 8577, 36020, 379, 276, 254, 1976, 379, 5886, 14, 3094, 3373, 36020, 379, 42349, 16, 7702, 274, 900, 8577, 36020, 379, 276, 254, 16, 0, 2976, 6053, 403, 2379, 314, 23968, 1865, 481, 1286, 368, 9448, 254, 3320, 1921, 4436, 441, 633, 8464, 286, 1316, 1162, 286, 360, 1782, 1862, 368, 633, 3338, 1921, 603, 353, 311, 276, 5574, 16, 1286, 368, 497, 23820, 254, 3320, 1921, 390, 1830, 14, 4436, 441, 387, 2304, 286, 360, 1782, 4856, 368, 254, 1076, 7787, 16, 188, 1212, 6044, 432, 4851, 939, 1924, 3193, 801, 956, 706, 11358, 8659, 16, 1180, 9575, 7172, 4356, 1545, 338, 15, 21, 2072, 1842, 324, 5009, 286, 374, 15, 23, 1842, 324, 14659, 671, 314, 2523, 774, 6706, 481, 1180, 5060, 7172, 1545, 338, 15, 21, 1842, 5009, 286, 1444, 813, 1842, 14659, 16, 1501, 10609, 3778, 403, 46391, 282, 368, 2304, 254, 5362, 555, 643, 11424, 14, 603, 633, 12200, 1162, 3470, 625, 2131, 835, 4436, 441, 286, 360, 1782, 2023, 580, 16, 1286, 633, 12200, 1162, 10916, 625, 9055, 4356, 1862, 353, 248, 1603, 1842, 282, 5566, 14, 603, 1311, 641, 4631, 4436, 441, 286, 360, 1782, 997, 713, 353, 16, 1286, 633, 2504, 2427, 625, 3073, 328, 254, 14659, 4466, 4436, 441, 286, 360, 1782, 818, 353, 16, 839, 403, 417, 5346, 324, 3542, 14, 15225, 14, 390, 13202, 11819, 2304, 596, 452, 1628, 772, 3448, 16, 188, 43, 452, 248, 2025, 1897, 14, 843, 476, 310, 2960, 368, 5898, 33, 188, 17327, 441, 387, 8464, 34, 85, 3253, 19, 27, 27, 26, 16, 679, 390, 563, 282, 254, 21685, 3135, 387, 254, 1708, 274, 254, 4282, 16, 839, 513, 417, 2374, 772, 33036, 390, 19047, 7955, 348, 2156, 348, 360, 513, 772, 4436, 16, 7560, 1545, 688, 671, 324, 633, 4436, 390, 3808 ]

[ 1, 1689, 14430, 16, 1547, 457, 251, 2156, 1773, 15, 17783, 14, 286, 1856, 457, 86, 3577, 4680, 633, 9749, 390, 3598, 5203, 16, 188, 3269, 836, 24061, 276, 2482, 14, 6008, 1863, 633, 1689, 4561, 13897, 390, 1683, 18186, 273, 6692, 587, 1606, 747, 248, 28150, 16, 188, 31645, 35271, 15, 13195, 4561, 276, 248, 10030, 33, 188, 39, 9559, 74, 7049, 633, 11157, 1230, 3957, 479, 561, 1045, 16, 731, 457, 85, 248, 2013, 10209, 282, 254, 18433, 5076, 25170, 255, 14, 532, 368, 457, 251, 3082, 9184, 254, 1830, 282, 633, 32519, 276, 1748, 3082, 274, 254, 11157, 274, 633, 4561, 16, 11352, 272, 2836, 74, 7049, 314, 43, 476, 457, 86, 3941, 436, 2151, 14, 532, 1041, 2056, 353, 457, 85, 1094, 442, 14, 5569, 368, 457, 251, 1438, 324, 254, 36486, 91, 17, 1182, 21681, 91, 11157, 997, 11, 327, 9862, 633, 4561, 10408, 14, 286, 4503, 353, 282, 633, 628, 273, 14, 2328, 2056, 282, 18754, 16, 731, 774, 1606, 747, 248, 8691, 2115, 282, 513, 14, 532, 353, 457, 85, 2155, 3458, 387, 2328, 633, 4561, 997, 35271, 16, 188, 12728, 633, 628, 273, 1230, 603, 368, 457, 251, 900, 282, 628, 273, 633, 4561, 276, 248, 2110, 1026, 1033, 1362, 14, 633, 4561, 587, 2411, 900, 282, 22435, 276, 248, 2110, 1026, 16, 1286, 368, 628, 633, 4561, 282, 254, 1628, 14, 1574, 2430, 353, 282, 254, 977, 390, 1574, 248, 8906, 628, 273, 16, 27146, 286, 915, 748, 8950, 977, 324, 368, 1091, 368, 457, 619, 321, 9600, 387, 843, 1181, 353, 476, 1767, 597, 633, 997, 14, 512, 16222, 6069, 688, 4500, 282, 633, 4561, 16, 188, 38, 609, 439, 1277, 3182, 1230, 311, 626, 2626, 327, 5909, 439, 1277, 3182, 476, 457, 86, 513, 21729, 9127, 282, 695, 11370, 15, 91, 14145, 14, 5909, 439, 1277, 3182, 476, 1336, 818, 248, 1612, 2298, 4325, 4500, 282, 633, 4561, 407, 22948, 665, 6536, 23432, 16, 1395, 1038, 457, 86, 1002, 452, 282, 3236, 1863, 633, 4561, 8950, 13365, 6890, 1091, 603, 368, 1074, 327, 633, 4561, 311, 248, 2298, 2519, 286, 440, 46276, 494, 841, 16902, 14, 248, 3055, 652, 30912, 274, 5909, 439, 1277, 3182, 587, 9806, 276, 665, 1949, 42017, 327, 368, 5565, 282, 513, 16, 188, 1853, 963, 348, 836, 11861, 14, 4248, 282, 889, 4561, 3462, 327, 3831, 2714, 21305, 15787, 2714, 37129, 15787, 390, 2714, 26713, 1232, 14960, 34942, 2626, 343, 2714, 32753, 15787, 2714, 5368, 15787, 2714, 10697, 429, 15787, 390, 2714, 17032, 4595, 457, 276, 254, 3929, 1091, 368, 457, 619, 756, 321, 6069, 6536, 4032, 282, 254, 4561, 533, 587, 13965, 353, 1051, 1949, 16, 188, 11460, 368, 2378, 3446, 254, 3834, 597, 2989, 756, 282, 452, 353, 512, 2871, 282, 9625, 348, 3402, 348, 368, 3109, 561, 274, 254, 3260, 33, 188, 2432, 457, 85, 248, 4544, 4688, 327, 436, 4104, 42017, 6692, 3103, 4561, 17713, 789, 390, 271, 18305, 23096, 348, 248, 2165, 4305, 16, 21177, 368, 4370, 282, 1052, 729, 14, 368, 457, 70, 321, 9600, 387, 254, 22906, 2332, 274, 942, 327, 403, 960, 729, 29737, 16, 188, 6235, 274, 512, 14, 368, 933, 321, 960, 729, 343, 254, 260, 16679, 1874, 1385, 633, 1450, 16, 826, 311, 843, 596, 497, 4024, 282, 321, 900, 14, 2780, 353, 390, 417, 3, 380, 9945, 1041, 324, 248, 1181, 1755, 17126, 1385, 633, 32519, 14, 348, 9799, 282, 254, 4800, 14, 5862, 4873, 14, 533, 476, 15373, 4214, 16, 188, 2148, 1002, 624, 14198, 1575, 14, 13713, 633, 271, 18305, 23096, 343, 4561, 46936, 14, 5909, 439, 1277, 3182, 14, 390, 248, 2426, 322, 2116, 13713, 1063, 368, 889, 729, 16, 21177, 1830, 368, 5053, 282, 889, 14, 1041, 2056, 282, 513, 353, 348, 2722, 282, 2602, 15175, 254, 23096, 713, 633, 4561, 348, 1841, 1091, 603, 254, 1830, 278, 2177, 4603, 14, 368, 1856, 457, 86, 1872, 254, 2057, 5485, 16, 188, 1843, 327, 457, 85, 353, 3, 4186, 13365, 6890, 24008, 282, 1382, 12249, 271, 18305, 23096, 14, 310, 3409, 310, 457, 307, 11155, 1055, 688, 274, 254, 624, 1794, 4561, 8662, 457, 85, 327, 476, 4306, 368, 10142, 16, 188, 1982, 368, 872, 665, 624, 7338, 8438, 254, 10142, 1499, 274, 4561, 42017, 314, 19831, 4800, 2886, 581, 4356, 1038, 457, 86, 31207, 282, 2960, 39821, 23746, 280, 16, 0, 21627, 16380, 2781, 118, 22324, 20310, 22383, 99, 2781, 118, 18988, 20310, 24237, 33526, 18988, 20310, 5175, 515, 10771, 5596, 10722, 28821, 3626, 14, 22104, 36145, 5998, 14, 11500, 15, 49, 14, 378, 313, 2323, 1048, 67, 14, 286, 254, 2560, 10132, 1076, 282, 254, 3481, 282, 6975, 254, 34943, 2103, 683, 2378, 1063, 16, 188, 1516, 5690, 369, 30343, 5175, 515, 10771, 5596, 314, 20, 18, 18, 24, 11, 210, 38887, 47181, 7568, 222, 25387, 38887, 20310, 39772, 210, 2781, 244, 19910, 216, 374, 543, 30071, 13341, 210, 38254, 27902, 27902, 33526, 19910, 98, 38800, 36514, 33526, 1534, 7034, 4553, 254, 7929, 268, 746, 16, 0, 43, 865, 327, 7629, 17266, 3239, 532, 353, 369, 747, 1129, 276, 1017, 2079, 3239, 10974, 422, 13472, 37262, 16, 188, 43, 1328, 626, 282, 321, 343, 254, 5588, 286, 282, 9537, 729, 3239, 310, 1328, 248, 9475, 14, 417, 248, 3408, 15, 26219, 2475, 324, 11557, 3239, 310, 1328, 248, 11913, 15868, 937, 286, 327, 311, 748, 310, 513, 3239, 310, 915, 748, 254, 5588, 1503, 747, 14, 390, 748, 596, 872, 14, 286, 835, 310, 2023, 353, 16, 188, 43, 811, 1038, 625, 11129, 942, 1129, 25441, 3239, 286, 310, 1328, 10344, 343, 353, 348, 1640, 310, 476, 3239, 532, 695, 819, 248, 10888, 4395, 16, 496, 948, 14, 436, 24437, 479, 274, 1495, 3979, 310, 369, 2304, 11068, 343, 3239, 670, 2996, 368, 785, 343, 5441, 282, 321, 347, 14066, 5363, 35820, 4, 343, 368, 3239, 286, 368, 811, 6231, 625, 5311, 353, 13692, 865, 33, 2552, 974, 368, 6231, 625, 348, 276, 282, 729, 14, 596, 835, 1242, 2876, 37337, 286, 5983, 14164, 3239, 310, 4143, 603, 695, 327, 33, 2141, 603, 4780, 695, 974, 254, 2086, 403, 1623, 15523, 593, 963, 343, 748, 310, 1328, 5123, 324, 729, 33 ]

[ 1, 19423, 38862, 647, 324, 465, 14, 362, 276, 42840, 65, 45659, 16, 15135, 14439, 926, 42840, 65, 45659, 61, 77, 63, 426, 1581, 10, 1160, 10, 88, 1210, 2621, 13021, 4862, 2137, 65, 45659, 5868, 426, 42840, 65, 45659, 1465, 1076, 16062, 558, 2768, 256, 2201, 534, 188, 1510, 47066, 65, 1578, 2484, 800, 10, 1578, 2484, 800, 2192, 477, 1800, 1673, 30204, 248, 15118, 21, 15, 4676, 407, 2484, 800, 21746, 300, 16, 73, 16, 347, 68, 9, 24684, 1499, 20652, 713, 248, 2539, 2787, 477, 1800, 839, 933, 321, 2041, 282, 5228, 436, 1308, 670, 360, 30544, 282, 15118, 21, 286, 452, 295, 4519, 265, 477, 603, 407, 2484, 800, 286, 407, 2484, 800, 16, 5318, 2076, 335, 1551, 68, 20652, 2192, 647, 407, 2484, 800, 426, 407, 2484, 800, 16, 24915, 1551, 68, 9, 3245, 80, 6606, 24915, 1067, 477, 1076, 407, 2484, 800, 188, 0, 3933, 269, 431, 90, 1369, 23191, 319, 188, 3933, 269, 431, 90, 16, 8676, 1369, 31386, 14, 28622, 188, 3933, 7481, 1369, 11555, 14, 1802, 188, 3933, 13783, 1369, 387, 267, 20, 14, 44087, 14, 7154, 14, 12236, 14, 4879, 14, 6686, 14, 7870, 188, 188, 2360, 7550, 275, 10, 5912, 2192, 1465, 804, 4623, 4338, 21257, 1262, 14, 20298, 14, 931, 14, 4172, 31, 18, 16, 26, 2192, 647, 1827, 16, 10861, 426, 20298, 647, 1827, 16, 2137, 426, 931, 647, 1827, 16, 7330, 426, 4172, 1465, 804, 6686, 10, 1262, 14, 7555, 2192, 647, 1076, 6686, 10, 1998, 475, 7555, 1209, 338, 26, 18, 11, 1465, 804, 7154, 10, 1262, 14, 7555, 2192, 647, 1076, 7154, 10, 1998, 475, 7555, 1209, 338, 26, 18, 11, 1465, 804, 46131, 10, 1262, 14, 1246, 19, 14, 341, 19, 14, 1246, 20, 14, 341, 20, 2192, 647, 1246, 426, 1246, 20, 428, 1246, 19, 647, 341, 426, 341, 20, 428, 341, 19, 2621, 603, 1246, 9855, 470, 286, 341, 9855, 470, 28, 926, 1076, 338, 647, 603, 1246, 10763, 470, 286, 341, 9855, 470, 28, 926, 1076, 374, 647, 603, 1246, 10763, 470, 286, 341, 10763, 470, 28, 926, 1076, 495, 647, 603, 1246, 9855, 470, 286, 341, 10763, 470, 28, 926, 1076, 576, 647, 6975, 19000, 1465, 804, 751, 7784, 1248, 10, 1262, 14, 1246, 14, 341, 2192, 647, 9677, 426, 314, 90, 603, 314, 90, 653, 341, 11, 1952, 341, 11, 475, 1827, 16, 7330, 647, 13025, 426, 7954, 2621, 324, 883, 276, 2413, 10, 4874, 10, 1262, 16, 2137, 47757, 926, 7555, 426, 883, 475, 314, 21, 24, 18, 1209, 8249, 10, 1262, 16, 2137, 1210, 926, 743, 65, 90, 426, 1827, 16, 7237, 10, 16422, 5981, 11, 475, 9677, 558, 1246, 926, 743, 65, 91, 426, 1827, 16, 4604, 10, 16422, 5981, 11, 475, 9677, 558, 341, 5896, 13025, 16, 9436, 8622, 743, 65, 90, 14, 314, 91, 475, 374, 11, 428, 743, 65, 91, 210, 3185, 2621, 1076, 13025, 1465, 804, 3687, 10, 1262, 14, 1246, 14, 341, 2192, 647, 1827, 16, 6379, 28992, 10, 90, 14, 341, 11, 647, 1827, 16, 6379, 3129, 10, 90, 14, 341, 11, 1465, 804, 3687, 28992, 10, 1262, 14, 1246, 14, 341, 2192, 647, 13025, 426, 1827, 16, 784, 7784, 1248, 10, 90, 14, 341, 11, 2621, 324, 883, 276, 2413, 10, 4874, 10, 1262, 16, 2137, 47757, 926, 1827, 16, 10861, 16, 1983, 5295, 1067, 926, 1827, 16, 10861, 16, 14688, 1934, 10, 34135, 10, 90, 581, 28622, 10, 91, 1210, 926, 1827, 16, 10861, 16, 1259, 1934, 10, 34135, 10, 1702, 1248, 61, 75, 6895, 18, 6483, 28622, 10, 1702, 1248, 61, 75, 6895, 19, 26874, 926, 1827, 16, 10861, 16, 25134, 11139, 426, 24927, 24, 24, 24, 9, 926, 1827, 16, 10861, 16, 1259, 11844, 426, 28622, 10, 20, 11, 926, 1827, 16, 10861, 16, 25134, 1067, 926, 1827, 16, 10861, 16, 10212, 5295, 1067, 5896, 6723, 426, 387, 267, 20, 10, 1702, 1248, 61, 75, 6895, 19, 63, 428, 341, 14, 13025, 61, 75, 6895, 18, 63, 428, 1246, 11, 475, 338, 26, 18, 1209, 12236, 558, 338, 26, 18, 29, 5896, 2694, 65, 1190, 426, 539, 10, 24421, 10, 3958, 10, 1262, 16, 2137, 10409, 926, 603, 883, 311, 470, 28, 1003, 825, 2487, 426, 38309, 18, 95, 426, 550, 18, 95, 90, 254, 3278, 9, 926, 1952, 28, 1003, 825, 2487, 426, 38309, 18, 15553, 5896, 1827, 16, 6379, 988, 537, 10, 45565, 16, 7910, 10, 3958, 65, 1190, 581, 13025, 61, 75, 6895, 18, 1077, 13025, 61, 75, 6895, 19, 1077, 6723, 11, 5896, 324, 480, 276, 2413, 10, 3958, 65, 1190, 2192, 1003, 603, 480, 311, 470, 28, 8710, 3906, 11167, 4122, 1089, 426, 1827, 16, 784, 8455, 10, 90, 14, 341, 14, 13025, 61, 75, 6895, 18, 1077, 13025, 61, 75, 6895, 19, 1077, 6723, 14, 314, 19, 18, 18, 1209, 2694, 65, 1190, 11, 475, 480, 11, 1003, 603, 883, 311, 470, 286, 480, 311, 338, 28, 2498, 2426, 426, 38309, 18, 95, 426, 3278, 4717, 9, 1003, 1952, 28, 2498, 2426, 426, 38309, 18, 15553, 1003, 1827, 16, 6379, 988, 537, 10, 1139, 16, 7910, 10, 76, 581, 4122, 1089, 4862, 90, 15993, 4122, 1089, 4862, 91, 15993, 6723, 11, 1465, 804, 751, 8455, 10, 1262, 14, 1246, 19, 14, 341, 19, 14, 1246, 20, 14, 341, 20, 14, 6723, 14, 2476, 2192, 647, 4047, 426, 7870, 10, 12673, 10, 90, 20, 428, 1246, 19, 14, 374, 11, 558, 4879, 10, 91, 20, 428, 341, 19, 14, 374, 1210, 2621, 1076, 550, 926, 684, 90, 5141, 1246, 19, 428, 1827, 16, 4604, 10, 2070, 11, 475, 314, 19316, 475, 314, 24424, 1209, 338, 18, 18, 16, 18, 9424, 926, 684, 91, 5141, 341, 19, 428, 1827, 16, 7237, 10, 2070, 11, 475, 314, 19316, 475, 314, 24424, 1209, 338, 18, 18, 16, 18, 1210, 647, 744, 1465, 804, 3687, 988, 537, 10, 1262, 14, 2426, 14, 1246, 14, 341, 14, 6723, 2192, 647, 18979, 65, 90, 19, 426, 1246, 558, 314, 23, 475, 1827, 16, 4604, 10, 2070, 558, 890, 18, 1210, 647, 18979, 65, 91, 19, 426, 341, 558, 314, 23, 475, 1827, 16, 7237, 10, 2070, 558, 890, 18, 1210 ]

[ 1, 2126, 16, 10212, 1067, 1003, 561, 72, 16, 10212, 1067, 1003, 11555, 16, 19297, 10, 19, 11, 926, 1039, 65, 3958, 426, 5422, 61, 1259, 61, 19, 9252, 926, 2001, 65, 8630, 426, 1360, 61, 20, 1534, 8909, 1551, 928, 11, 926, 603, 8249, 10, 1204, 65, 3958, 61, 18, 3185, 3493, 8249, 10, 27489, 65, 8630, 2192, 1003, 3270, 11091, 10134, 16, 34509, 14, 347, 4608, 28, 1015, 1162, 274, 41101, 1102, 324, 12754, 1479, 985, 1259, 61, 19, 63, 1003, 3270, 11091, 10134, 16, 34509, 14, 347, 969, 9180, 282, 321, 2384, 70, 14, 532, 1102, 2384, 70, 4, 44366, 4874, 10, 1204, 65, 3958, 61, 18, 6483, 4874, 10, 27489, 65, 8630, 1210, 1003, 2126, 16, 10212, 1067, 1003, 561, 72, 16, 10212, 1067, 1003, 11555, 16, 19297, 10, 19, 11, 926, 23561, 65, 2788, 426, 4172, 10, 9346, 10, 27489, 65, 8630, 61, 18, 6483, 1204, 65, 3958, 61, 18, 6895, 18, 1077, 1204, 65, 3958, 61, 19, 6895, 18, 3185, 926, 603, 46708, 286, 314, 1014, 3151, 65, 2788, 30, 11160, 18, 16, 23, 390, 23561, 65, 2788, 29118, 19, 16, 23, 2192, 1003, 3270, 347, 24169, 47780, 1554, 14, 1259, 61, 18, 1077, 1259, 61, 19, 63, 928, 19, 985, 1014, 3151, 65, 2788, 926, 561, 72, 16, 6171, 29027, 86, 7, 85, 27017, 85, 28, 7536, 24, 73, 4, 44366, 1259, 61, 18, 1077, 1259, 61, 19, 1077, 1014, 3151, 65, 2788, 1210, 926, 324, 883, 276, 1246, 6152, 10, 19, 14, 4874, 10, 27489, 65, 8630, 47757, 1003, 23561, 65, 2788, 426, 4172, 10, 9346, 10, 27489, 65, 8630, 61, 75, 6483, 1204, 65, 3958, 61, 18, 6895, 75, 1077, 1204, 65, 3958, 61, 19, 6895, 75, 3185, 1003, 603, 46708, 286, 314, 1014, 3151, 65, 2788, 30, 11160, 18, 16, 23, 390, 23561, 65, 2788, 29118, 19, 16, 23, 2192, 2498, 3270, 347, 24169, 47780, 1554, 14, 1259, 61, 18, 1077, 1259, 61, 19, 1077, 75, 13, 19, 14, 1014, 3151, 65, 2788, 1003, 561, 72, 16, 6171, 10, 985, 7536, 24, 73, 4, 7, 1014, 3151, 65, 2788, 11, 926, 561, 72, 16, 6171, 29027, 80, 2719, 926, 1360, 426, 2126, 16, 1073, 1259, 1067, 477, 2126, 16, 10212, 1067, 477, 561, 72, 16, 10212, 1067, 188, 188, 1510, 1964, 10, 27915, 31, 10134, 16, 27915, 2192, 477, 603, 8249, 10, 27915, 24420, 31, 23, 286, 8249, 10, 27915, 24420, 31, 24, 28, 647, 3270, 8665, 80, 30685, 4983, 647, 3270, 347, 210, 2384, 85, 543, 9854, 63, 2126, 586, 561, 3039, 4, 7, 27915, 61, 18, 63, 647, 3270, 8665, 80, 10692, 4983, 647, 3270, 347, 210, 428, 85, 5166, 65, 16987, 28, 5166, 13271, 3482, 4, 647, 3270, 347, 210, 428, 84, 14627, 65, 16987, 28, 14627, 13271, 3482, 4, 647, 3270, 347, 210, 1912, 47743, 28, 603, 1635, 14, 3046, 1093, 343, 23561, 1294, 10763, 15, 18, 16, 23, 390, 9855, 19, 16, 23, 4, 647, 3270, 8665, 80, 6426, 1060, 4983, 647, 3270, 347, 210, 954, 603, 2551, 15, 85, 66, 311, 1635, 14, 2551, 1990, 586, 66, 587, 321, 658, 18318, 282, 3274, 19, 14, 19, 581, 4, 647, 3270, 347, 342, 286, 3482, 587, 321, 9548, 276, 2551, 14837, 65, 16987, 66, 4, 647, 3270, 347, 210, 954, 603, 2551, 15, 84, 66, 311, 1635, 14, 13271, 2551, 1990, 586, 66, 960, 2551, 36627, 65, 16987, 66, 3082, 449, 647, 3270, 4739, 647, 11555, 16, 19297, 10, 19, 11, 14973, 4466, 14, 8626, 426, 751, 2112, 10, 27915, 61, 19, 33144, 928, 85, 28, 84, 47780, 9594, 47743, 43739, 477, 603, 8249, 10, 8626, 11, 3493, 374, 28, 647, 3270, 347, 4608, 28, 11751, 1162, 274, 6938, 4, 647, 11555, 16, 19297, 10, 19, 11, 1465, 5166, 65, 3039, 426, 8037, 477, 3195, 65, 3039, 426, 8037, 477, 46708, 426, 16247, 1465, 324, 1447, 14, 2788, 276, 4466, 28, 647, 603, 1447, 2224, 18917, 85, 1356, 926, 5166, 65, 3039, 426, 1294, 647, 27985, 1447, 2224, 18917, 84, 1356, 926, 3195, 65, 3039, 426, 1294, 647, 27985, 1447, 2224, 47707, 47743, 1356, 926, 46708, 426, 11475, 647, 1952, 28, 926, 3270, 347, 4608, 28, 11751, 4360, 18332, 2112, 926, 11555, 16, 19297, 10, 19, 11, 1465, 603, 5166, 65, 3039, 311, 417, 8037, 28, 647, 5422, 426, 6458, 65, 18922, 10, 8626, 61, 18, 3185, 647, 5166, 65, 18922, 10, 18376, 14, 14837, 65, 3039, 11, 477, 603, 3195, 65, 3039, 311, 417, 8037, 28, 647, 5422, 426, 1218, 65, 18922, 10, 2711, 65, 3039, 11, 477, 1382, 19761, 10, 18376, 14, 8626, 61, 18, 1077, 8626, 61, 19, 1077, 47743, 11, 188, 188, 7073, 1067, 534, 0, 188, 3933, 40113, 1369, 4797, 188, 3933, 40113, 16, 18293, 16, 19513, 1369, 1453, 784, 1139, 188, 3933, 40113, 16, 6271, 16, 903, 13845, 1369, 40849, 4608, 188, 3933, 40113, 16, 18293, 16, 27462, 1369, 35758, 65, 8897, 188, 188, 3933, 10928, 16, 23075, 16, 18730, 1369, 12768, 188, 188, 3933, 12132, 16, 18730, 1369, 314, 477, 40444, 14, 477, 40444, 3776, 14, 477, 40444, 16486, 11, 534, 188, 2360, 32108, 5078, 10, 12659, 16, 5078, 2192, 1465, 804, 4623, 4338, 21257, 1262, 14, 6951, 14, 475, 8626, 14, 1375, 35436, 2192, 2621, 1827, 3226, 25190, 426, 40444, 62, 926, 954, 25099, 62, 926, 954, 22066, 1067, 62, 926, 954, 1507, 65, 10694, 1067, 62, 926, 954, 1507, 65, 33021, 8622, 13878, 3185, 2621, 2155, 4872, 870, 4338, 870, 9417, 8626, 14, 1375, 35436, 11, 2621, 324, 26671, 276, 1827, 3226, 25190, 28, 926, 1827, 16, 14652, 61, 9321, 16, 11234, 65, 3323, 809, 63, 426, 4797, 16, 28413, 46350, 6009, 10, 1003, 25808, 31, 12659, 16, 8828, 3255, 9738, 28413, 14, 1003, 5050, 31, 9321, 16, 1554, 14, 1003, 2347, 31, 5489, 11, 1465, 804, 867, 65, 9854, 10, 1262, 14, 11705, 2192, 2621, 603, 417, 11705, 28, 926, 1827, 16, 14652, 426, 11836, 926, 1076, 2621, 9898, 426, 550, 9321, 16, 302, 28, 7954, 324, 26671, 276, 1827, 3226, 25190, 95, 2621, 26671, 65, 8630, 426, 40444, 3776, 16, 25099, 16, 10694, 10, 926, 26671, 870, 250, 31, 1262, 3226, 25190, 14, 926, 5690, 870, 250, 31 ]

[ 1, 1026, 282, 1336, 368, 2445, 743, 942, 16, 7644, 248, 1247, 1026, 14, 324, 2056, 14, 3233, 670, 368, 452, 2102, 1289, 1033, 13044, 954, 1286, 368, 251, 3960, 668, 4419, 248, 21647, 14, 286, 368, 403, 16, 6730, 248, 13227, 621, 390, 2586, 282, 513, 593, 14, 368, 872, 282, 1649, 6418, 688, 3324, 16, 10151, 10551, 311, 580, 274, 254, 1640, 1903, 12584, 13227, 10928, 282, 2445, 743, 942, 16, 10789, 42343, 343, 942, 276, 633, 2104, 16, 10151, 10551, 3290, 28849, 2705, 324, 368, 282, 12584, 286, 3407, 343, 16, 26963, 1578, 21205, 16, 45910, 633, 743, 7626, 1996, 407, 1810, 531, 273, 939, 16, 188, 2148, 695, 21047, 2363, 13151, 286, 10517, 5537, 2363, 274, 3371, 348, 4229, 972, 14, 4502, 85, 286, 20049, 398, 16, 7606, 32410, 2357, 6918, 4580, 311, 272, 3781, 13072, 2079, 29400, 1723, 15, 26, 394, 27774, 276, 7606, 32410, 14, 1427, 8681, 11052, 15336, 3448, 328, 1401, 18388, 4569, 16, 839, 9165, 3956, 282, 4503, 4569, 7856, 276, 16, 7930, 1357, 3133, 286, 25837, 743, 3520, 16, 7606, 32410, 14, 11052, 14, 470, 25, 18, 22, 21, 16, 890, 19, 25, 16, 576, 18, 24, 16, 470, 22, 24, 22, 16, 188, 12254, 32516, 20668, 1485, 8591, 597, 7573, 6939, 32516, 276, 7606, 32410, 14, 11052, 16, 380, 25581, 274, 7606, 32410, 311, 580, 274, 1427, 16, 8681, 434, 944, 4311, 7681, 16, 33377, 1055, 387, 254, 3071, 274, 254, 3845, 13794, 1891, 15497, 14, 7606, 32410, 311, 944, 3516, 407, 695, 10827, 2974, 14, 4785, 1668, 16, 41504, 14, 17804, 282, 1427, 2728, 3124, 286, 695, 41664, 323, 2791, 3015, 16, 34081, 1956, 1770, 286, 1956, 2185, 276, 7606, 32410, 314, 4119, 8681, 11, 416, 7748, 85, 753, 254, 7142, 323, 2791, 5939, 14, 17347, 7955, 14, 7056, 286, 11225, 853, 753, 23412, 286, 1242, 399, 4858, 343, 1956, 1770, 323, 1059, 1956, 2185, 432, 17746, 8591, 753, 399, 834, 399, 1219, 273, 16, 1822, 324, 399, 834, 387, 8882, 339, 14725, 14, 343, 7227, 74, 12638, 2150, 16, 188, 26395, 20374, 2652, 924, 23327, 16, 17347, 71, 20374, 2652, 924, 20001, 28109, 753, 14355, 4, 954, 347, 5401, 6130, 7701, 12441, 6184, 73, 21209, 1061, 3610, 16264, 323, 7984, 6376, 35289, 2514, 14, 5596, 14, 390, 35289, 387, 399, 83, 2011, 16722, 7606, 32410, 16, 323, 2791, 282, 607, 21, 16, 7606, 32410, 14, 11052, 16, 22579, 899, 633, 17271, 28, 2807, 35289, 436, 10557, 16, 1395, 5041, 282, 367, 601, 413, 2195, 466, 399, 1657, 15946, 16, 10151, 10, 85, 11, 16768, 37079, 28, 1180, 374, 18, 19, 24, 16367, 16, 188, 17571, 29, 4299, 432, 12234, 276, 3877, 16, 374, 18, 19, 25, 314, 33953, 2066, 481, 7606, 32410, 14, 11052, 22713, 932, 286, 41504, 324, 42718, 16, 719, 27, 19, 20407, 3313, 18408, 7606, 32410, 11052, 470, 25, 18, 22, 20, 16, 8980, 1331, 407, 16, 22713, 420, 324, 42718, 16, 378, 4518, 33386, 12259, 560, 286, 323, 10824, 1220, 276, 7606, 32410, 16, 34057, 6396, 374, 22, 3605, 13157, 30567, 13829, 7606, 32410, 14, 11052, 470, 25, 18, 22, 20, 21188, 8647, 24666, 1384, 44159, 338, 18, 28, 18, 18, 313, 12405, 434, 6240, 16, 338, 18, 28, 20, 18, 313, 16, 7606, 32410, 14, 11052, 16, 495, 19, 26, 9856, 16, 10557, 9597, 16, 7606, 32410, 4704, 4580, 311, 248, 1708, 19552, 14, 1321, 14, 10689, 2079, 4301, 276, 16, 7606, 32410, 14, 11052, 16, 731, 555, 338, 14, 27, 25, 22, 3371, 276, 22409, 890, 15, 19, 20, 343, 248, 5805, 15, 442, 12491, 4174, 274, 338, 21, 282, 16, 188, 6942, 282, 1350, 1056, 7168, 14, 607, 18, 274, 3371, 403, 387, 16, 22858, 11674, 1186, 24882, 274, 16, 1427, 8681, 16, 563, 88, 16, 0, 4369, 15692, 472, 14, 248, 1603, 31314, 85, 274, 254, 5786, 328, 3949, 2462, 282, 254, 5945, 11353, 3059, 328, 4297, 374, 20, 14, 374, 18, 19, 26, 16, 188, 23159, 16, 22009, 354, 16, 16188, 28, 310, 457, 79, 13488, 282, 818, 618, 4179, 282, 254, 8652, 2966, 16, 1664, 457, 85, 1594, 327, 310, 872, 282, 2683, 328, 286, 327, 310, 476, 457, 86, 1315, 15373, 407, 16, 380, 3442, 432, 4886, 10663, 4117, 749, 327, 360, 872, 282, 3437, 254, 12549, 561, 274, 436, 286, 2683, 328, 20087, 16, 5919, 14, 1623, 286, 7573, 14, 327, 1623, 10676, 343, 479, 974, 254, 1865, 701, 457, 85, 17934, 942, 282, 3437, 254, 12549, 561, 274, 353, 311, 327, 360, 865, 327, 254, 32425, 4611, 2269, 21083, 24833, 555, 8611, 4104, 14773, 18667, 16, 188, 43, 9845, 254, 4954, 282, 2683, 328, 254, 20087, 274, 615, 4104, 3526, 974, 353, 555, 1628, 16878, 276, 556, 3604, 16, 731, 555, 8649, 16140, 561, 274, 436, 13866, 16, 731, 555, 4130, 248, 2187, 274, 17429, 3941, 328, 4273, 663, 403, 1311, 2732, 282, 9929, 16, 380, 4022, 13619, 7914, 3690, 452, 811, 37632, 6658, 30643, 406, 328, 254, 16140, 327, 452, 6596, 282, 3191, 1683, 276, 16878, 286, 1574, 286, 8364, 254, 9640, 16, 188, 4357, 14, 348, 772, 18864, 555, 749, 1125, 14, 1125, 2008, 1063, 14, 348, 274, 3850, 813, 14, 1336, 555, 7053, 16, 839, 2602, 751, 254, 20087, 274, 254, 4104, 21083, 24833, 16, 839, 2033, 327, 276, 1316, 282, 2055, 3461, 360, 2961, 282, 1076, 28554, 282, 772, 32786, 327, 933, 452, 573, 248, 4179, 348, 9799, 282, 1851, 353, 29466, 1919, 407, 254, 3326, 21083, 5132, 16, 2003, 369, 272, 7673, 1123, 5250, 91, 16, 188, 5125, 254, 2211, 274, 254, 1689, 1603, 2819, 14, 310, 587, 18714, 843, 7439, 495, 22, 587, 2330, 3969, 4009, 14, 1633, 32786, 286, 6255, 624, 9094, 282, 16878, 16, 188, 3912, 274, 254, 6287, 4665, 14773, 18667, 11068, 758, 254, 1985, 21083, 2142, 369, 8244, 15800, 7993, 3969, 4009, 16, 5995, 254, 2948, 8246, 250, 554, 15, 57, 1337, 569, 39572, 14, 3969, 4009, 1177, 6045, 16, 1997, 695, 5087, 14, 5703, 276, 13165, 497, 9787, 14, 328, 3278, 14, 370, 19, 24, 18, 590, 1722, 324, 3969, 16, 2666, 25411, 276, 11089, 16878, 497, 9787, 1002, 624, 16, 380, 3278, 1963, 276, 248, 1656, 15 ]

[ 1, 8102, 19068, 1547, 1002, 2263, 248, 20839, 343, 729, 3, 8229, 3809, 248, 20839, 33, 188, 5639, 368, 8340, 17973, 512, 274, 327, 33, 188, 10072, 801, 15, 2523, 1683, 21570, 811, 1577, 1444, 286, 2849, 561, 254, 3260, 974, 596, 2780, 596, 4428, 457, 86, 6648, 1663, 597, 343, 254, 2501, 390, 254, 671, 282, 4842, 512, 274, 436, 16, 188, 2515, 14, 248, 1623, 1247, 2342, 4424, 4910, 741, 16, 188, 510, 21676, 12147, 610, 311, 900, 670, 368, 961, 282, 1041, 5717, 34043, 2462, 282, 248, 2342, 286, 254, 2194, 295, 8395, 2042, 476, 417, 8049, 370, 21, 23, 14, 18, 18, 18, 16, 188, 35, 11814, 401, 9847, 374, 18, 21, 10, 77, 11, 9852, 4343, 368, 282, 1041, 6650, 8129, 11384, 14, 25068, 14, 27016, 286, 22049, 282, 248, 2342, 2778, 8915, 1916, 248, 743, 580, 16, 188, 35, 21676, 12147, 374, 18, 21, 10, 77, 11, 4343, 5758, 390, 3587, 25068, 282, 321, 2152, 2778, 10082, 1024, 769, 4604, 79, 1941, 666, 25068, 14, 11384, 390, 10972, 16, 188, 1130, 669, 34248, 944, 274, 254, 34592, 2347, 274, 248, 2057, 374, 18, 21, 10, 77, 11, 286, 7863, 7585, 254, 1213, 282, 3915, 295, 8395, 7852, 16, 188, 11434, 254, 21676, 12147, 2024, 14, 626, 311, 248, 5758, 274, 370, 23, 14, 18, 18, 18, 286, 248, 4718, 274, 370, 21, 23, 14, 18, 18, 18, 282, 321, 43503, 276, 254, 15402, 2332, 282, 3054, 390, 14631, 254, 1683, 16, 188, 2231, 769, 46837, 25068, 666, 403, 4003, 758, 248, 21676, 12147, 610, 14, 2228, 14, 2328, 390, 34483, 665, 8129, 4806, 311, 417, 2696, 282, 321, 5717, 16, 188, 510, 5758, 274, 370, 23, 14, 18, 18, 18, 274, 2347, 286, 6650, 11384, 327, 587, 2490, 254, 2703, 1402, 286, 1294, 274, 254, 1683, 1339, 801, 321, 2818, 16, 5931, 25068, 286, 11384, 1339, 15598, 343, 388, 7081, 457, 85, 40934, 14922, 26808, 286, 1339, 2445, 512, 1922, 3532, 14, 34552, 286, 642, 11330, 16, 188, 43046, 2347, 25068, 2408, 665, 1738, 286, 5098, 25068, 747, 755, 8627, 1394, 6666, 390, 15270, 5651, 7873, 721, 16, 12033, 368, 961, 1093, 4806, 2818, 390, 417, 14, 512, 1738, 286, 5098, 3265, 1339, 321, 9458, 801, 16, 3649, 3035, 24588, 1339, 669, 321, 2790, 603, 5651, 16, 188, 9606, 254, 1683, 368, 457, 619, 961, 282, 7274, 286, 3533, 748, 11384, 872, 282, 321, 1143, 282, 254, 2779, 16, 188, 510, 7274, 3203, 3831, 311, 3427, 254, 1057, 348, 665, 642, 14, 2903, 368, 457, 619, 961, 282, 1041, 2056, 327, 626, 311, 3335, 14440, 254, 7274, 311, 31217, 2154, 12820, 255, 27639, 272, 401, 9847, 374, 18, 21, 10, 77, 11, 35512, 16, 188, 686, 1316, 282, 3316, 254, 21903, 274, 254, 11384, 14, 368, 587, 872, 282, 2445, 343, 248, 21663, 282, 3533, 748, 2169, 274, 785, 368, 403, 7028, 286, 843, 1181, 353, 587, 2042, 16, 188, 510, 21663, 587, 1862, 368, 248, 3378, 274, 254, 3203, 14, 533, 368, 457, 619, 872, 282, 1477, 328, 282, 254, 37889, 16, 188, 510, 37889, 587, 1316, 272, 39419, 282, 3533, 748, 254, 1294, 274, 254, 2342, 587, 321, 2304, 512, 274, 436, 785, 311, 6140, 16, 188, 18952, 276, 2482, 14, 368, 457, 619, 669, 872, 282, 321, 11835, 324, 254, 2057, 9852, 2332, 533, 311, 1707, 328, 254, 7274, 4236, 4892, 254, 2982, 2042, 274, 25068, 16, 188, 10476, 254, 9852, 311, 6825, 14, 368, 587, 563, 282, 10902, 747, 368, 9155, 650, 16, 188, 510, 2332, 327, 587, 321, 2961, 282, 513, 512, 274, 836, 25068, 390, 11384, 587, 321, 4694, 713, 272, 6090, 734, 2320, 2828, 407, 254, 37889, 16, 188, 1853, 254, 785, 311, 1129, 6140, 14, 626, 587, 321, 20712, 432, 254, 2320, 282, 2014, 254, 21663, 16, 188, 1253, 1042, 254, 19989, 264, 368, 3489, 872, 282, 513, 33, 188, 26206, 368, 872, 370, 20, 18, 14, 18, 18, 18, 282, 513, 512, 254, 11384, 282, 254, 2342, 16, 5431, 39900, 587, 2353, 248, 338, 18, 15, 20, 18, 7, 44860, 15475, 2320, 282, 321, 867, 597, 16, 826, 311, 2501, 596, 587, 867, 9010, 324, 665, 769, 9696, 20629, 666, 327, 774, 4955, 1285, 254, 295, 8395, 16, 1395, 1038, 457, 86, 961, 282, 452, 1594, 1663, 597, 327, 368, 1848, 457, 86, 1847, 286, 835, 452, 641, 2501, 282, 4842, 353, 16, 188, 2515, 14, 276, 436, 1610, 1495, 370, 20, 14, 18, 18, 18, 650, 321, 43503, 282, 4947, 633, 15475, 3084, 16, 188, 35, 2194, 274, 370, 20, 20, 14, 18, 18, 18, 311, 1012, 2066, 282, 321, 4694, 713, 254, 295, 8395, 6090, 734, 2320, 16, 188, 10476, 368, 452, 6140, 10575, 286, 1193, 254, 2342, 14, 254, 295, 8395, 2320, 587, 321, 4095, 286, 368, 587, 321, 2041, 282, 1242, 254, 785, 16, 188, 510, 21663, 587, 2662, 254, 801, 3687, 274, 597, 282, 607, 18, 7, 274, 520, 3203, 14, 533, 276, 436, 1610, 311, 370, 19, 18, 14, 18, 18, 18, 16, 188, 10476, 254, 785, 555, 643, 4603, 6140, 14, 345, 476, 2662, 520, 2379, 3687, 286, 4615, 254, 6477, 274, 520, 3203, 16, 188, 510, 2501, 276, 254, 44860, 15475, 2320, 311, 324, 8715, 785, 16, 1286, 1051, 254, 3843, 626, 369, 641, 872, 282, 889, 353, 286, 368, 4285, 282, 513, 688, 2982, 785, 282, 254, 2342, 2778, 5494, 807, 835, 2662, 248, 1767, 1316, 286, 6761, 327, 2501, 14, 532, 353, 650, 417, 321, 4936, 561, 282, 254, 21663, 1863, 254, 2379, 3687, 16, 188, 510, 1865, 436, 2024, 311, 1869, 248, 21676, 1259, 311, 974, 626, 403, 10890, 20712, 14, 1637, 34592, 286, 756, 34043, 14, 5717, 25068, 3103, 16, 188, 2976, 785, 933, 321, 6140, 276, 719, 2524, 390, 1637, 16, 188, 35, 1247, 5585, 274, 254, 21676, 12147, 374, 18, 21, 10, 77, 11, 4488, 254, 11814, 401, 9847, 374, 18, 21, 10, 77, 11, 311, 327, 626, 311, 1637, 34592, 16, 188, 11434, 254, 5379, 1259, 14, 626, 311, 248, 4718, 274, 763, 20712, 590, 21663, 16, 731, 311, 6742, 603, 368, 452, 756, 580, 21663, 14, 532, 248, 4718, 274, 763, 27513, 282 ]

[ 1, 2884, 16, 826, 311, 254, 3834, 7417, 324, 665, 7906, 3, 47111, 436, 2978, 4855, 597, 343, 688, 3295, 18937, 24468, 390, 7417, 1051, 343, 688, 22794, 7340, 924, 324, 248, 18534, 5028, 16, 0, 2345, 1995, 20441, 16, 1201, 1995, 20441, 12801, 4167, 274, 7525, 317, 14, 6108, 102, 17163, 39224, 11678, 15317, 11678, 14335, 500, 635, 67, 560, 14, 2318, 338, 24, 21, 18, 85, 16, 9849, 8571, 20172, 286, 3981, 3762, 276, 254, 6108, 235, 17163, 15317, 21544, 23602, 40399, 5953, 224, 15317, 11678, 2405, 99, 19885, 23602, 20787, 2405, 101, 11678, 2405, 231, 21466, 5293, 30343, 28, 306, 7018, 39309, 6935, 1164, 945, 1416, 356, 1995, 20441, 16, 0, 21516, 441, 324, 254, 7760, 11660, 809, 40513, 10404, 4894, 14, 830, 1241, 1575, 5798, 30986, 1663, 2292, 480, 971, 1427, 19570, 32006, 41446, 16, 188, 2148, 331, 5977, 3874, 33980, 7475, 14, 272, 40777, 17388, 382, 432, 6010, 14, 1909, 4393, 319, 311, 417, 811, 248, 5686, 14, 353, 457, 85, 248, 1026, 274, 1464, 14, 580, 327, 555, 4003, 616, 282, 3768, 616, 15523, 4179, 286, 43709, 22088, 343, 254, 1499, 16, 188, 28759, 6355, 378, 10816, 283, 311, 254, 8258, 31799, 274, 1427, 19570, 23673, 30986, 16, 3216, 6355, 457, 85, 4311, 12464, 286, 440, 1131, 4632, 1055, 1416, 4575, 348, 248, 17388, 382, 311, 4780, 580, 274, 1427, 19570, 457, 1640, 4783, 19606, 16, 3928, 3797, 274, 10265, 286, 39063, 9642, 343, 616, 13296, 592, 276, 254, 19192, 274, 616, 1193, 17388, 4382, 3272, 403, 2631, 2094, 274, 22223, 16, 188, 4412, 12055, 286, 4731, 343, 254, 21997, 8036, 7590, 382, 286, 3229, 1065, 1201, 8275, 14685, 16504, 14, 712, 312, 7252, 16962, 555, 12093, 8747, 2124, 616, 21080, 348, 580, 274, 1427, 19570, 457, 22740, 5186, 17388, 1322, 274, 23673, 14, 31254, 286, 29764, 16, 12033, 701, 311, 2824, 273, 254, 25035, 24351, 309, 2239, 28069, 32006, 16339, 390, 15672, 343, 616, 3002, 434, 1361, 309, 13758, 35705, 286, 26141, 28401, 2344, 14, 712, 312, 7252, 311, 1873, 324, 616, 257, 503, 609, 14, 7561, 1008, 17388, 17028, 721, 16, 0, 2721, 1386, 441, 272, 4436, 14, 4856, 248, 2426, 14, 3808, 328, 441, 328, 6567, 17, 10272, 11741, 390, 7325, 561, 254, 825, 282, 254, 977, 16, 839, 587, 751, 888, 282, 368, 348, 3402, 348, 360, 476, 3, 10944, 368, 3, 0, 33817, 9362, 468, 252, 11058, 14, 15734, 14, 14354, 8248, 14, 26131, 1027, 21685, 4139, 314, 10230, 1162, 14, 19047, 14, 7672, 14, 6567, 4444, 36, 4722, 1505, 21242, 937, 1122, 311, 248, 8307, 40745, 286, 35477, 25037, 663, 9211, 282, 23140, 939, 520, 2481, 10322, 14745, 4897, 16, 496, 4028, 374, 18, 19, 24, 345, 3737, 248, 9645, 10727, 10650, 867, 282, 323, 570, 457, 85, 4212, 1956, 769, 6709, 521, 37774, 3068, 1397, 750, 555, 272, 2320, 328, 19047, 830, 345, 555, 9024, 520, 10280, 390, 7758, 286, 624, 683, 374, 25, 16, 20, 45, 17883, 16, 750, 555, 248, 4897, 328, 14745, 533, 311, 4756, 348, 6118, 468, 252, 830, 345, 555, 11776, 338, 25, 20, 45, 28156, 286, 345, 555, 9024, 520, 10280, 328, 436, 4897, 16, 188, 33817, 555, 272, 2320, 328, 2856, 1244, 2610, 35822, 276, 533, 345, 555, 9043, 624, 683, 374, 25, 16, 20, 18181, 17883, 16, 750, 34938, 520, 44317, 390, 29129, 328, 2856, 1244, 2610, 35822, 16, 1860, 946, 775, 4010, 436, 2951, 533, 1635, 1788, 16, 188, 1304, 555, 248, 3135, 328, 401, 9314, 36, 16114, 276, 533, 345, 10972, 520, 10280, 286, 7758, 16, 3730, 14, 345, 555, 11776, 576, 21, 26, 12695, 16, 1286, 665, 5441, 282, 915, 520, 6051, 835, 596, 476, 4010, 436, 2951, 533, 311, 1635, 1788, 16, 188, 1304, 555, 7221, 7672, 276, 4297, 374, 18, 19, 23, 16, 750, 34938, 520, 7758, 286, 10280, 274, 520, 328, 6051, 830, 345, 555, 11776, 248, 1162, 274, 17883, 16, 380, 13455, 311, 1635, 1788, 16, 188, 1304, 555, 248, 4897, 3135, 328, 14745, 276, 533, 345, 12093, 338, 25, 20, 45, 28156, 16, 3730, 14, 345, 9073, 520, 10280, 16, 1286, 3655, 5441, 282, 915, 520, 10280, 835, 596, 476, 4010, 436, 2951, 16, 188, 18621, 2622, 633, 6667, 668, 23350, 9362, 468, 252, 16, 0, 7789, 7898, 1661, 18671, 826, 4064, 2290, 13716, 2979, 21, 21874, 5949, 311, 5864, 324, 9700, 2479, 889, 756, 286, 417, 324, 889, 276, 10131, 390, 9037, 7067, 16, 380, 3408, 2811, 2462, 3189, 432, 4647, 282, 8634, 286, 254, 6944, 274, 254, 3189, 311, 3948, 387, 576, 23, 18, 8914, 960, 248, 38595, 11633, 16, 496, 1316, 282, 2475, 254, 4573, 274, 4064, 2290, 13716, 2979, 21, 276, 254, 3300, 14, 436, 4064, 2290, 13716, 2979, 21, 21874, 12081, 3672, 248, 867, 274, 18011, 7269, 16, 380, 18011, 7269, 403, 36833, 387, 254, 1057, 671, 348, 254, 3415, 286, 1545, 254, 5408, 282, 4565, 248, 2546, 6783, 274, 5583, 3909, 6958, 4064, 2290, 13716, 2979, 21, 4573, 16, 380, 4573, 274, 254, 3415, 311, 835, 3303, 407, 10657, 254, 473, 16, 38, 16, 274, 254, 3415, 282, 254, 2546, 6783, 16, 0, 1982, 368, 961, 282, 2960, 441, 390, 452, 248, 1897, 668, 23481, 1466, 274, 19754, 2051, 273, 14, 4356, 889, 436, 825, 16, 1286, 368, 4370, 417, 282, 889, 436, 825, 14, 1872, 1903, 282, 4856, 272, 4436, 282, 8464, 61, 256, 63, 878, 1466, 1153, 1377, 2051, 273, 16, 2000, 16, 188, 8177, 368, 324, 29473, 441, 16, 839, 11129, 633, 1564, 286, 587, 3669, 348, 3402, 348, 1841, 16, 17259, 39072, 360, 403, 561, 274, 8349, 2413, 593, 360, 11129, 633, 21759, 16, 188, 27432, 490, 251, 505, 274, 254, 6151, 3547, 407, 19803, 273, 282, 772, 24323, 533, 3144, 561, 27565, 16, 839, 8788, 1582, 282, 889, 633, 2958, 1460, 324, 2626, 1952, 286, 368, 476, 440, 30336, 387, 665, 671, 16, 0, 6411, 13547, 28, 771, 44756, 12426, 401, 17095, 378, 382, 288, 5116, 15096, 399, 1657, 6443, 35699, 4318, 1783, 1180, 1223, 11100, 338, 22, 16, 8839, 4963, 28, 448, 44756, 15, 4506, 15, 7875, 273, 15, 68, 382, 288, 15, 2343, 15, 21034, 15, 70, 1657, 15, 1160, 15, 74 ]

[ 1, 286, 310, 852, 248, 2187, 274, 3425, 785, 8128, 2292, 286, 1033, 593, 2156, 248, 5435, 650, 913, 597, 16, 750, 369, 5167, 2151, 14, 532, 345, 3470, 457, 86, 276, 1247, 5127, 16, 11922, 345, 16241, 328, 2732, 282, 513, 772, 785, 8128, 16, 4186, 563, 345, 457, 70, 10629, 328, 772, 13204, 289, 2005, 273, 286, 40543, 273, 276, 772, 13257, 16, 839, 14853, 18829, 775, 5374, 14499, 379, 16, 12809, 360, 457, 70, 3964, 2830, 1574, 282, 913, 775, 843, 3364, 353, 369, 324, 441, 407, 42343, 1285, 772, 11197, 668, 843, 3364, 596, 3428, 16, 4978, 2008, 360, 457, 70, 1354, 43948, 328, 843, 1125, 45384, 1063, 345, 6323, 742, 16, 750, 369, 18590, 1136, 5404, 286, 1845, 7110, 282, 22509, 11006, 276, 772, 13257, 1034, 841, 360, 1815, 345, 457, 70, 3048, 314, 264, 16173, 345, 650, 324, 688, 6158, 13351, 839, 1582, 573, 254, 2710, 282, 513, 2626, 668, 775, 16, 6710, 315, 14, 12064, 254, 19713, 81, 2984, 3569, 22342, 4476, 16482, 15, 15863, 14, 626, 457, 85, 1594, 248, 2298, 38911, 668, 254, 23009, 4141, 59, 40, 3760, 327, 3032, 282, 1041, 353, 7282, 282, 2654, 353, 282, 775, 327, 345, 457, 85, 811, 417, 3684, 2151, 282, 10629, 16, 1286, 368, 452, 248, 8857, 324, 10344, 343, 436, 580, 14, 1315, 479, 865, 3, 188, 23, 16, 380, 16579, 47629, 16, 310, 457, 79, 417, 4864, 668, 254, 5435, 9150, 254, 6121, 37997, 35372, 3400, 9749, 314, 19666, 596, 457, 251, 5440, 561, 626, 13351, 1583, 14, 16435, 310, 715, 1045, 282, 8057, 368, 668, 254, 956, 274, 1770, 663, 403, 417, 9425, 274, 748, 596, 5838, 254, 2286, 1063, 327, 1034, 1382, 16, 380, 1479, 327, 807, 1431, 248, 1603, 12416, 274, 1696, 14118, 16, 45819, 14, 321, 1879, 254, 5288, 47629, 14, 345, 663, 3695, 4220, 390, 332, 746, 1019, 11676, 5280, 780, 3556, 1091, 747, 324, 254, 2774, 1382, 16, 330, 282, 303, 1045, 390, 626, 311, 3901, 16, 731, 6395, 282, 254, 1640, 274, 441, 16, 1268, 670, 254, 2774, 374, 4813, 1382, 32985, 747, 254, 2176, 15, 81, 15, 11397, 554, 390, 7629, 747, 248, 20329, 6798, 67, 757, 1526, 368, 865, 368, 457, 251, 276, 254, 2485, 274, 248, 5288, 47629, 16, 1664, 457, 85, 417, 1181, 368, 476, 513, 668, 353, 14, 532, 4780, 248, 1068, 274, 321, 4548, 3036, 3700, 274, 254, 3400, 5293, 1503, 321, 276, 1316, 282, 3536, 2764, 7051, 16, 188, 1516, 1470, 369, 11479, 407, 374, 2315, 16, 3845, 254, 1258, 85, 6149, 309, 1761, 85, 3, 16968, 13803, 33561, 286, 3732, 3, 6175, 311, 254, 9138, 427, 766, 1256, 10663, 32692, 9333, 663, 593, 25708, 16897, 331, 27033, 286, 479, 324, 615, 7608, 1361, 1382, 16, 1223, 324, 254, 1868, 626, 497, 641, 18770, 15629, 14, 5139, 274, 729, 1038, 9061, 22764, 382, 909, 9456, 247, 4240, 14, 641, 580, 369, 1996, 248, 19713, 81, 2984, 390, 248, 23009, 4141, 59, 40, 3760, 286, 596, 497, 512, 1062, 43870, 343, 615, 23228, 3357, 16, 1547, 497, 1247, 286, 360, 476, 457, 86, 5419, 3400, 343, 729, 2151, 603, 368, 457, 251, 593, 26990, 282, 1074, 4684, 3400, 276, 254, 2341, 6640, 14, 3523, 16, 2104, 3, 4252, 1505, 13626, 46629, 14, 4597, 286, 2323, 88, 1145, 356, 3, 188, 53, 9469, 286, 331, 27033, 286, 254, 12745, 286, 4196, 44717, 5898, 432, 254, 427, 18068, 37, 16, 188, 1253, 1042, 23009, 4141, 59, 40, 3760, 1431, 324, 33, 188, 5639, 310, 42955, 11608, 580, 624, 33, 731, 807, 321, 248, 745, 15, 875, 274, 1800, 20, 603, 368, 457, 251, 417, 9915, 14, 532, 353, 457, 85, 254, 28843, 22053, 16, 380, 580, 663, 27587, 17, 45125, 17, 80, 23547, 17, 32404, 2431, 633, 6071, 328, 248, 1382, 1205, 13496, 368, 1477, 14, 254, 580, 663, 457, 85, 44089, 328, 16869, 29375, 387, 254, 980, 274, 254, 5332, 14, 254, 580, 663, 457, 85, 17934, 2489, 286, 683, 4211, 5332, 15543, 286, 417, 4866, 273, 520, 20727, 2057, 274, 8683, 23513, 286, 9848, 6654, 8735, 387, 254, 8195, 1360, 16, 188, 510, 8262, 4869, 274, 5898, 14, 1081, 3400, 286, 1303, 15, 23450, 14, 403, 12745, 3, 3646, 1851, 248, 1612, 790, 387, 254, 13859, 274, 248, 1603, 5645, 360, 457, 307, 512, 4315, 282, 452, 1289, 2049, 254, 1026, 41218, 388, 18810, 3, 310, 865, 1125, 5898, 286, 2185, 663, 403, 18764, 2672, 274, 254, 5293, 3, 188, 43, 21569, 327, 5435, 663, 1652, 4667, 407, 254, 12469, 3122, 13020, 254, 3893, 332, 6245, 16, 188, 12622, 368, 2378, 22942, 479, 14, 5859, 33, 188, 39500, 747, 360, 497, 276, 254, 977, 1361, 835, 41218, 9127, 959, 14, 46629, 15404, 188, 43, 6140, 618, 1062, 801, 338, 18, 45, 248, 2065, 3502, 286, 14099, 248, 23009, 4141, 59, 40, 3760, 276, 254, 1364, 13537, 390, 593, 16, 310, 2144, 597, 3108, 775, 670, 345, 369, 7618, 16, 310, 369, 2674, 2722, 2151, 282, 1477, 775, 286, 345, 652, 4265, 265, 6214, 324, 248, 1205, 14, 835, 8013, 282, 248, 2849, 16, 1223, 310, 2144, 597, 3108, 286, 369, 668, 282, 1477, 14, 286, 345, 652, 4265, 265, 6214, 959, 16, 1223, 959, 16, 1223, 959, 16, 1939, 15273, 636, 3, 3497, 387, 248, 11474, 13494, 3, 19101, 479, 10142, 3, 188, 42, 18810, 1091, 310, 457, 307, 573, 436, 1480, 16, 310, 369, 276, 248, 338, 18, 77, 286, 670, 310, 4667, 248, 5435, 14, 345, 4400, 4667, 479, 835, 2956, 652, 2747, 286, 257, 1410, 1061, 314, 927, 248, 8095, 39105, 43038, 4110, 481, 310, 34204, 345, 369, 2732, 282, 3536, 479, 432, 7922, 775, 959, 16, 1268, 356, 285, 14, 345, 369, 8506, 265, 387, 254, 980, 274, 254, 1362, 16, 188, 1516, 311, 248, 790, 1470, 14, 532, 310, 452, 282, 1309, 310, 35598, 512, 618, 5435, 3400, 5363, 35820, 3, 2666, 756, 31778, 311, 310, 1038, 457, 86, 751, 282, 1382, 343, 729, 314, 264, 2185, 1996, 324, 327, 2563, 11, 2156, 2151, 3, 188, 510, 28665, 15928, 14, 1258, 457, 85, 13921, 34683, 5556, 16025, 16, 740, 33103, 24130, 282, 254, 1258, 85, 13921, 3339 ]

[ 1, 321, 977, 324, 479, 16, 188, 5, 19, 310, 715, 248, 32961, 40105, 314, 1946, 310, 452, 248, 3837, 7021, 281, 2660, 282, 254, 9902, 14, 286, 715, 4250, 2732, 282, 1916, 618, 801, 975, 481, 2532, 254, 309, 11926, 11409, 4793, 17, 1565, 324, 248, 13737, 2390, 1393, 40105, 3612, 188, 20, 5, 310, 452, 643, 11625, 37954, 324, 338, 23, 1090, 14, 286, 3614, 310, 18114, 2780, 580, 1582, 14148, 4569, 14, 1042, 254, 21890, 6761, 248, 1247, 2874, 274, 671, 328, 688, 274, 254, 11625, 347, 10082, 972, 4, 314, 14999, 3527, 1157, 2417, 17, 251, 1022, 5294, 867, 15, 8549, 14, 2501, 4184, 14, 3838, 2612, 3612, 188, 19, 16, 6107, 16, 380, 11409, 3032, 282, 4503, 282, 512, 942, 286, 512, 24975, 16, 0, 10186, 254, 46534, 14, 626, 587, 321, 35025, 1020, 274, 1564, 282, 13764, 3223, 359, 7185, 16, 188, 35, 1022, 15, 22443, 33976, 32948, 5044, 32474, 587, 321, 5444, 16, 5883, 14209, 286, 248, 1247, 10864, 587, 321, 2449, 16, 740, 11038, 9540, 587, 669, 321, 6459, 282, 3655, 29596, 282, 7829, 16, 0, 510, 3206, 6284, 274, 2341, 833, 1331, 687, 407, 3792, 27470, 87, 378, 6781, 1743, 555, 6825, 254, 1962, 274, 427, 20, 25, 14, 18, 18, 18, 348, 254, 743, 5758, 16151, 16, 188, 510, 3746, 11930, 6825, 254, 1962, 1285, 272, 10517, 4654, 387, 254, 35630, 33102, 276, 26045, 6190, 16, 188, 510, 4654, 573, 276, 20615, 3326, 36202, 747, 10593, 317, 901, 329, 4246, 44637, 5154, 14, 6901, 78, 1757, 18439, 286, 254, 8677, 3792, 14, 378, 2700, 6654, 9731, 11617, 14, 2124, 2489, 16, 0, 2275, 476, 310, 1806, 254, 35902, 324, 30803, 16, 188, 5636, 16310, 2135, 5898, 16, 310, 452, 248, 1926, 274, 30803, 533, 310, 1218, 286, 2674, 848, 18, 7, 274, 254, 3418, 830, 626, 16, 368, 476, 4856, 479, 3808, 2101, 668, 353, 16, 0, 25672, 17790, 367, 958, 311, 248, 743, 4311, 8934, 327, 1856, 457, 86, 1354, 2524, 14, 3498, 14, 390, 1002, 1842, 3, 1664, 311, 669, 641, 5758, 390, 4718, 1316, 593, 436, 311, 748, 2701, 441, 1045, 387, 367, 958, 5891, 5999, 1062, 2628, 16, 1395, 476, 751, 254, 23096, 276, 633, 3448, 13096, 14, 436, 311, 1594, 327, 369, 7282, 532, 1012, 368, 476, 1619, 272, 1316, 286, 4615, 729, 254, 1689, 1362, 16, 3699, 9676, 4602, 587, 785, 343, 368, 282, 18592, 633, 1316, 286, 1041, 2056, 327, 368, 4615, 729, 407, 633, 20030, 16, 731, 457, 85, 248, 1062, 2875, 1213, 286, 360, 457, 251, 1045, 343, 368, 512, 254, 1026, 16, 188, 2275, 1181, 403, 14117, 17790, 367, 958, 33, 188, 25672, 17790, 367, 958, 403, 254, 1026, 282, 563, 603, 368, 5565, 282, 4615, 9564, 432, 338, 282, 687, 338, 14, 18, 18, 18, 23096, 276, 248, 2094, 2114, 274, 671, 16, 2028, 10982, 836, 23096, 626, 311, 641, 5758, 1316, 593, 1872, 1903, 282, 1316, 348, 1125, 390, 348, 1612, 368, 650, 747, 16, 1395, 476, 1002, 2014, 348, 1612, 348, 370, 21, 16, 27, 23, 324, 254, 8934, 593, 368, 457, 251, 2041, 282, 751, 1017, 3184, 23096, 387, 17740, 7702, 16, 380, 624, 23096, 327, 368, 1316, 254, 19592, 254, 590, 8934, 4236, 311, 16, 188, 9654, 670, 353, 3144, 282, 14659, 254, 23096, 360, 3831, 2624, 14659, 4466, 432, 1903, 3112, 14659, 282, 13096, 593, 360, 865, 360, 457, 251, 2041, 282, 751, 254, 23096, 276, 633, 3448, 254, 1527, 1362, 16, 188, 1253, 19091, 403, 254, 367, 958, 33, 188, 1368, 452, 763, 9898, 276, 8934, 3616, 670, 353, 3144, 282, 14117, 17790, 367, 958, 16, 1395, 476, 3489, 869, 248, 580, 15964, 13391, 8934, 348, 963, 272, 248, 580, 15964, 6106, 8934, 16, 839, 5419, 368, 3489, 248, 8934, 1707, 328, 633, 2382, 368, 5053, 282, 11791, 16, 5066, 368, 452, 254, 4188, 276, 3189, 14, 360, 3831, 248, 5172, 286, 9456, 4360, 16, 2646, 16263, 748, 4313, 1755, 276, 254, 16565, 368, 587, 321, 2041, 282, 1041, 248, 2964, 286, 3906, 4735, 3461, 16, 188, 1253, 457, 85, 254, 12293, 747, 670, 1795, 4097, 272, 9445, 33, 188, 1853, 2019, 348, 254, 1213, 4424, 353, 457, 85, 593, 2875, 282, 513, 286, 626, 311, 1612, 785, 2347, 16, 1664, 311, 763, 3956, 276, 533, 368, 476, 563, 668, 15175, 272, 1316, 29, 368, 452, 254, 4466, 274, 1438, 3510, 282, 254, 16565, 390, 23653, 248, 14036, 16, 188, 1982, 368, 2662, 248, 14036, 368, 587, 5370, 328, 254, 769, 3513, 3172, 1548, 666, 6237, 16, 4186, 1045, 368, 587, 7325, 561, 248, 1903, 14036, 343, 633, 4893, 1460, 1648, 633, 1390, 14, 4436, 14, 1162, 14, 10393, 14, 3616, 14, 670, 368, 872, 729, 8326, 407, 14, 286, 944, 15108, 633, 27256, 603, 368, 452, 16, 731, 457, 85, 1726, 282, 11791, 633, 1416, 348, 248, 500, 20811, 390, 40628, 593, 772, 2214, 476, 751, 633, 1316, 6715, 348, 3402, 348, 1841, 16, 1395, 933, 1847, 282, 3957, 888, 432, 772, 2214, 1525, 495, 18, 2819, 16, 188, 1516, 311, 254, 1213, 327, 3809, 1619, 670, 368, 751, 248, 14036, 16, 1822, 368, 513, 311, 7325, 561, 248, 2875, 825, 14, 818, 633, 27256, 14, 286, 587, 751, 248, 14036, 888, 432, 772, 2214, 1525, 254, 4813, 3, 188, 1368, 476, 669, 563, 254, 7420, 274, 19859, 248, 8934, 4684, 328, 772, 4282, 939, 772, 8934, 21400, 16, 15246, 254, 769, 22330, 255, 666, 6237, 286, 368, 457, 251, 4558, 282, 2706, 272, 12745, 8934, 16, 3845, 368, 587, 3489, 248, 8934, 1921, 286, 3189, 286, 368, 457, 251, 512, 867, 282, 1041, 248, 8934, 16, 1585, 254, 16565, 3135, 368, 476, 3489, 432, 15847, 274, 1903, 4344, 20055, 286, 16747, 435, 3762, 533, 368, 476, 1115, 1444, 343, 16, 1395, 476, 1767, 254, 2426, 14, 3189, 14, 286, 1921, 348, 963, 16, 34141, 274, 960, 772, 3762, 286, 20055, 368, 1311, 513, 452, 254, 4360, 282, 11791, 633, 1193, 27256, 348, 963, 3, 1664, 403, 1015, 7876, 14, 286, 14614, 593, 626, 403, 6582, 274, 8418, 1015, 23096, 368, 476, 1041, 16, 35185, 4212, 254, 769, 1793, 2555, 666, 6237, 286, 867, 254, 2332 ]

[ 1, 2563, 274, 2942, 16, 1260, 4400, 348, 368, 1052, 441, 14, 360, 4328, 633, 14076, 16, 839, 476, 7957, 633, 10812, 343, 248, 624, 3458, 286, 624, 27829, 10812, 16, 188, 57, 1481, 1773, 11887, 4934, 9806, 6015, 8841, 343, 2875, 2218, 282, 3396, 1773, 16, 1286, 368, 872, 282, 865, 843, 4414, 596, 785, 286, 843, 596, 4112, 597, 1773, 1269, 16867, 4112, 4619, 254, 6242, 274, 254, 1683, 14, 1354, 248, 997, 387, 254, 1527, 3379, 16, 188, 1853, 7855, 37538, 255, 286, 7855, 47854, 12101, 14, 633, 7855, 37538, 255, 286, 47854, 44953, 14, 12343, 286, 8478, 3095, 403, 248, 2115, 274, 254, 2391, 16, 4186, 45118, 282, 21117, 867, 597, 597, 19201, 14, 380, 17449, 1795, 2677, 476, 1920, 633, 2342, 390, 2485, 7855, 25030, 47066, 286, 2508, 16, 188, 7639, 3751, 327, 12309, 685, 37225, 1503, 321, 2961, 282, 2508, 254, 1802, 324, 3379, 6916, 16, 37538, 255, 685, 37225, 328, 248, 3835, 3596, 476, 669, 14158, 3536, 1500, 40980, 975, 3133, 276, 254, 2764, 16, 188, 41811, 17484, 3979, 367, 28959, 16, 839, 1663, 561, 343, 248, 374, 15, 1318, 2214, 286, 248, 495, 14, 18, 18, 18, 44871, 8444, 9723, 282, 4319, 561, 41077, 8346, 328, 5667, 1626, 958, 286, 9640, 6362, 958, 16, 839, 8869, 5228, 512, 40679, 14, 41077, 14, 17312, 14, 1773, 14, 286, 6181, 432, 512, 9300, 274, 5667, 1626, 958, 14, 40679, 29589, 14, 32667, 1626, 3537, 14, 286, 9640, 6362, 958, 16, 188, 38, 7222, 2633, 1078, 9241, 28, 3699, 42625, 403, 2674, 512, 13889, 274, 1525, 772, 7885, 14, 5100, 721, 14, 286, 44087, 721, 16, 2028, 248, 13214, 1042, 7012, 14, 665, 37983, 807, 1394, 282, 5300, 1773, 4577, 286, 3831, 254, 3834, 2435, 324, 12742, 2363, 16, 7693, 333, 248, 13214, 17680, 14, 248, 7667, 1011, 3619, 42209, 587, 19335, 254, 2443, 15286, 286, 8769, 1392, 254, 3979, 16, 0, 9606, 27270, 25749, 14, 4447, 507, 25749, 14, 16622, 494, 4447, 507, 25749, 328, 24638, 34825, 14, 5547, 5881, 28367, 13245, 17, 4581, 3503, 17, 11431, 432, 4002, 16, 188, 13076, 8815, 274, 4447, 507, 25749, 14, 360, 403, 17538, 16140, 432, 4002, 14, 27270, 25749, 14, 4447, 507, 25749, 27294, 17, 20285, 14, 33914, 1017, 15, 14755, 3462, 274, 16622, 494, 4447, 507, 25749, 416, 706, 399, 286, 9995, 14, 360, 452, 254, 3834, 841, 15, 42422, 2497, 286, 7478, 1305, 16, 9609, 3461, 282, 633, 15410, 3, 188, 4792, 368, 476, 1074, 254, 2815, 3462, 276, 4447, 507, 25749, 14, 360, 403, 5537, 11346, 274, 27270, 6237, 14, 20109, 507, 25749, 14, 19240, 494, 4447, 507, 25749, 16, 839, 6919, 328, 5060, 13107, 1830, 2363, 14, 3170, 286, 6053, 16, 839, 452, 5360, 3184, 1423, 4719, 274, 4447, 507, 25749, 282, 5256, 1004, 13107, 11835, 1830, 16, 188, 1982, 368, 961, 282, 865, 624, 668, 254, 3462, 276, 4447, 507, 25749, 14, 4356, 5370, 254, 1830, 4139, 282, 1806, 3482, 14, 3106, 14, 7758, 14, 7702, 286, 642, 1460, 668, 27270, 25749, 14, 20109, 507, 25749, 14, 19240, 494, 4447, 507, 25749, 16, 188, 24866, 368, 403, 248, 1361, 390, 1999, 14, 360, 587, 513, 772, 1640, 282, 2023, 368, 343, 7692, 286, 10800, 3808, 668, 4447, 507, 25749, 3, 0, 5747, 20, 38515, 324, 1795, 9329, 22507, 7911, 9035, 6220, 20, 12514, 4516, 276, 16004, 1207, 1147, 1743, 2104, 33, 188, 11060, 59, 9035, 411, 16015, 338, 20, 19, 276, 13941, 45293, 33, 188, 6860, 13662, 38515, 9035, 444, 17067, 374, 20, 19, 25, 85, 403, 1143, 276, 4002, 33, 188, 11060, 59, 9035, 1676, 28, 411, 16015, 338, 20, 19, 276, 13941, 45293, 33, 0, 2345, 15, 45043, 6480, 13798, 2813, 10000, 39271, 369, 417, 254, 769, 82, 1118, 293, 6131, 666, 274, 480, 6184, 10984, 2315, 1444, 254, 1499, 286, 18815, 274, 748, 345, 1869, 615, 769, 250, 3019, 293, 565, 7324, 2474, 282, 272, 1735, 274, 6987, 17074, 432, 520, 10233, 483, 276, 12757, 16, 188, 510, 16696, 834, 30081, 1186, 11839, 14, 248, 26945, 14199, 2479, 8906, 387, 254, 1924, 20263, 11112, 387, 4117, 10856, 14, 9024, 328, 695, 4282, 328, 7998, 338, 25, 372, 38126, 6987, 2584, 276, 254, 24835, 328, 10000, 39271, 457, 85, 2342, 276, 32829, 22657, 276, 533, 345, 369, 5182, 407, 1924, 5457, 248, 802, 3502, 16, 188, 510, 8906, 29622, 10000, 39271, 457, 85, 1390, 348, 27506, 28614, 250, 16, 188, 1304, 5260, 282, 452, 1612, 2657, 324, 740, 7326, 356, 15, 35, 24157, 11617, 14, 272, 2371, 14821, 9878, 274, 968, 20405, 248, 1162, 274, 12003, 356, 15, 45043, 7890, 432, 26475, 286, 663, 369, 5182, 276, 248, 1924, 27174, 9709, 1364, 802, 16, 188, 510, 338, 25, 6987, 403, 6864, 4725, 390, 7285, 4725, 1875, 11503, 338, 25, 23, 7032, 276, 254, 3132, 25612, 14, 13227, 432, 4257, 374, 18, 18, 24, 282, 4028, 374, 18, 19, 19, 14, 286, 596, 513, 417, 512, 1350, 663, 4025, 390, 2865, 729, 16, 188, 2921, 9015, 6166, 452, 749, 356, 15, 45043, 276, 254, 47213, 32266, 14, 533, 16728, 432, 26475, 14, 555, 12724, 348, 254, 944, 8093, 25686, 16, 188, 1931, 2474, 282, 254, 4117, 10856, 1240, 14, 10000, 39271, 2900, 11923, 1125, 274, 356, 39537, 457, 85, 26382, 2315, 14, 1648, 254, 4254, 20842, 407, 254, 4117, 14, 343, 47462, 16, 188, 510, 4725, 913, 327, 10000, 39271, 11605, 668, 330, 51, 2026, 14, 254, 26475, 75, 25686, 14, 286, 17821, 695, 9298, 282, 2683, 5861, 328, 19763, 254, 1924, 2499, 683, 254, 26475, 75, 2142, 390, 3860, 5457, 14, 254, 1280, 749, 16, 188, 1130, 749, 254, 37048, 456, 2080, 2607, 327, 254, 5077, 274, 1495, 25686, 14, 1201, 39537, 276, 9011, 369, 274, 1748, 4328, 282, 10000, 39271, 14, 3233, 695, 9550, 274, 30501, 457, 613, 22603, 1527, 254, 1924, 11183, 274, 9011, 16, 188, 3912, 274, 356, 15, 45043, 457, 85, 1964, 4243, 15, 12626, 11122, 12815, 14, 2371, 15, 6276, 12828, 33996, 17750, 14, 1002, 4972, 327, 254, 1964, 356, 39537, 1361, 933, 556, 10486, 366, 3038, 432, 356, 15, 45043, 276, 9011, 16, 188, 3294, 580, 1110, 33996, 17750, 2352, 254, 4566, 274, 254, 24115, 1361, 282 ]

[ 1, 18259, 14, 23616, 286, 38552, 309, 3192, 14, 7464, 18269, 29, 348, 963, 348, 7223, 14936, 705, 14, 29057, 8591, 286, 36393, 16, 750, 369, 28860, 276, 2393, 407, 520, 4507, 23616, 286, 18285, 466, 323, 698, 86, 1757, 286, 18360, 31332, 460, 15911, 286, 6714, 20571, 306, 1747, 16, 330, 20969, 274, 520, 1464, 369, 2828, 3793, 495, 387, 254, 41818, 286, 33355, 3143, 20292, 8832, 14, 21201, 252, 343, 20219, 264, 1732, 4874, 8341, 262, 274, 1427, 7607, 6240, 1979, 15114, 16, 5225, 420, 3444, 276, 5626, 21201, 252, 35445, 16, 1091, 37, 26859, 20289, 19972, 28882, 16, 188, 5484, 1661, 41227, 1091, 47, 6281, 16, 378, 3215, 52, 314, 16775, 48, 8816, 11, 354, 1347, 2282, 14, 719, 24, 14, 4811, 440, 23068, 315, 387, 616, 1683, 21201, 252, 27618, 19, 6741, 8820, 14, 4029, 374, 19, 14, 338, 27, 23, 25, 16, 1469, 311, 15694, 407, 5769, 14, 7432, 84, 29, 576, 18808, 14, 6645, 16, 5707, 951, 35816, 14, 21201, 252, 27618, 20, 14, 6645, 16, 32375, 41758, 14, 6645, 16, 6727, 16551, 286, 6645, 16, 37433, 80, 46471, 274, 21201, 252, 14, 27618, 19, 286, 495, 14774, 14, 7813, 6307, 274, 4064, 288, 18269, 14, 331, 1261, 283, 274, 40033, 891, 14, 286, 11327, 274, 21201, 252, 14, 27618, 19, 14, 374, 19, 37163, 14, 338, 19, 1247, 15, 25949, 13487, 14, 374, 18360, 14, 6645, 16, 7211, 30905, 455, 274, 31509, 14, 6645, 16, 43965, 766, 35816, 274, 4064, 288, 18269, 29, 576, 12830, 7200, 323, 739, 3246, 274, 13686, 14, 10452, 323, 739, 3246, 274, 13990, 17153, 14, 10569, 274, 21659, 5998, 25581, 286, 6727, 274, 3479, 79, 8211, 16, 330, 15411, 2497, 369, 2828, 387, 254, 1963, 1683, 8109, 387, 338, 28, 18, 18, 324, 254, 8758, 1963, 16, 380, 2069, 369, 835, 2584, 282, 254, 41818, 15513, 1524, 8832, 14, 21201, 252, 14, 324, 1949, 3134, 387, 374, 28, 18, 18, 16, 380, 3439, 16, 28867, 37941, 274, 254, 5626, 21201, 252, 41616, 6240, 14, 1979, 4079, 286, 32440, 369, 276, 5626, 21201, 252, 35445, 16, 1091, 37, 26859, 20289, 19972, 28882, 16, 188, 3760, 2206, 1675, 323, 16, 7634, 30098, 14, 719, 20, 14, 274, 378, 16544, 1275, 14, 427, 16, 59, 896, 4811, 6741, 3998, 14, 4452, 338, 21, 14, 338, 27, 24, 23, 14, 387, 254, 378, 16544, 1275, 3124, 8667, 16, 750, 369, 6904, 387, 254, 35158, 455, 16226, 15663, 276, 21201, 252, 276, 338, 27, 22, 23, 16, 750, 555, 643, 2367, 3970, 387, 254, 3605, 2123, 17520, 1917, 276, 378, 16544, 1275, 16, 750, 369, 248, 3442, 274, 254, 5626, 39810, 14, 418, 16, 310, 896, 21764, 281, 34119, 16, 2234, 16, 1572, 1486, 311, 15694, 407, 520, 4335, 14, 9247, 262, 5258, 1572, 1486, 14, 248, 7716, 274, 21201, 252, 29, 580, 3240, 14, 5330, 274, 38007, 14, 427, 16, 59, 9680, 248, 5952, 14, 6645, 16, 5018, 310, 1595, 274, 7694, 3124, 29, 520, 3002, 14, 6645, 16, 500, 16, 7005, 1572, 1486, 274, 5626, 39810, 14, 418, 16, 310, 9680, 1241, 12830, 14, 40922, 444, 16, 274, 418, 766, 10465, 14, 2004, 81, 896, 500, 16, 13280, 274, 5626, 39810, 14, 418, 16, 310, 16, 1223, 5330, 274, 6640, 5998, 29, 763, 18360, 14, 6645, 16, 41260, 418, 1704, 5418, 286, 6645, 16, 12472, 610, 1259, 274, 3921, 1171, 5998, 14, 427, 16, 59, 896, 286, 1694, 37163, 16, 20238, 20292, 3134, 497, 2828, 387, 254, 41818, 15513, 1524, 8832, 276, 21201, 252, 7738, 8820, 387, 338, 28, 21, 18, 14, 343, 254, 3439, 16, 6727, 331, 1896, 566, 1318, 1979, 15114, 16, 5225, 420, 369, 276, 5626, 21201, 252, 35445, 16, 1091, 37, 26859, 20289, 19972, 28882, 16, 188, 31651, 53, 1091, 42, 1254, 4722, 1967, 54, 418, 16, 354, 1347, 2282, 14, 813, 27, 14, 274, 338, 18, 323, 16, 3566, 569, 44532, 18408, 16, 314, 11455, 7658, 361, 47977, 581, 21201, 252, 14, 4811, 387, 8109, 14, 4109, 719, 14, 338, 27, 26, 20, 14, 387, 616, 12558, 16, 6645, 16, 41818, 369, 5522, 3623, 16, 848, 14, 338, 27, 18, 20, 276, 12394, 25581, 14, 35495, 3801, 14, 248, 5952, 274, 6710, 444, 16, 286, 310, 1442, 2470, 323, 455, 2866, 3635, 85, 16, 1469, 369, 248, 3442, 274, 254, 40033, 891, 6240, 274, 2740, 324, 719, 23, 1090, 16, 1469, 311, 15694, 407, 248, 3240, 286, 5952, 15, 250, 15, 6751, 14, 18619, 286, 2666, 376, 41818, 274, 17296, 27128, 14, 27678, 9680, 37163, 14, 4966, 286, 24793, 41818, 274, 21201, 252, 14, 34971, 286, 331, 37109, 41818, 274, 2357, 13336, 278, 457, 2345, 1704, 14, 26803, 14, 27712, 286, 10371, 609, 41818, 274, 21201, 252, 14, 1694, 1247, 15, 25949, 29682, 1312, 14, 580, 1247, 15, 25949, 1625, 14, 1694, 18360, 14, 6645, 16, 6221, 23674, 274, 38460, 67, 12782, 14, 27678, 896, 6645, 16, 26789, 26754, 286, 6645, 16, 24793, 399, 5090, 91, 14, 1081, 274, 15701, 14, 27678, 16, 286, 6645, 16, 25110, 1158, 1720, 274, 3479, 79, 8211, 14, 427, 16, 59, 896, 7385, 15, 250, 15, 6751, 14, 6645, 16, 7410, 283, 314, 3474, 583, 11, 35993, 7143, 274, 21201, 252, 16, 5066, 20900, 403, 2006, 14936, 705, 14, 29057, 8591, 286, 36393, 16, 380, 20292, 2497, 587, 321, 2828, 6741, 387, 338, 269, 16, 79, 16, 387, 254, 41818, 286, 33355, 3143, 15513, 1524, 8832, 14, 21201, 252, 14, 343, 254, 3439, 16, 500, 24616, 6041, 14, 29566, 274, 254, 18194, 1928, 41616, 6240, 286, 254, 3439, 16, 30016, 500, 16, 4270, 9206, 14, 29566, 274, 254, 21201, 252, 23481, 29024, 474, 36569, 14, 1979, 15114, 16, 5225, 420, 587, 321, 276, 254, 444, 16, 21201, 252, 35445, 16, 1091, 37, 26859, 20289, 19972, 28882, 16, 188, 37, 26859, 1091, 6645, 16, 309, 16, 14472, 35816, 14, 719, 25, 14, 274, 813, 27, 3605, 5044, 5555, 14, 4811, 7738, 14, 3877, 16, 374, 22, 14, 338, 27, 26, 23, 14, 276, 254, 17511, 15487, 3816, 274, 24016, 7252, 20104, 8667, 16, 27808, 1045, 2470, 374, 23, 14, 338, 27, 19, 26, 14, 701, 369, 248, 5952, 274, 6710, 286, 354, 1461, 35447, 7141 ]

[ 1, 16, 10599, 11934, 28, 2748, 8070, 17136, 16, 679, 16, 380, 42261, 16603, 30835, 2532, 8107, 500, 1020, 1395, 19692, 10264, 10551, 24688, 4318, 1783, 1180, 443, 73, 41782, 374, 16, 14608, 2532, 2067, 30835, 85, 41295, 16603, 1223, 11910, 2640, 443, 73, 2532, 8107, 7456, 264, 813, 16, 380, 42261, 16603, 1939, 15273, 6901, 85, 1180, 8832, 24267, 443, 73, 2532, 8107, 6064, 47800, 576, 16, 443, 16603, 8829, 2532, 8107, 1180, 443, 73, 6064, 47800, 848, 16, 1939, 15273, 6901, 85, 16603, 30835, 2532, 8107, 399, 5181, 1879, 1180, 443, 73, 8979, 338, 21, 16, 24351, 5039, 386, 9767, 30120, 34939, 2532, 2067, 6443, 411, 27270, 11442, 42261, 16603, 29606, 443, 73, 2532, 8107, 7456, 264, 338, 22, 16, 42261, 21190, 1791, 8067, 1270, 1238, 7000, 495, 26745, 337, 5101, 1487, 27613, 12268, 2532, 2067, 6443, 2640, 27785, 443, 73, 16603, 2532, 8107, 28059, 608, 338, 24, 16, 42261, 16603, 2532, 8107, 11959, 349, 320, 30835, 1879, 41295, 496, 443, 73, 28059, 608, 495, 16, 42261, 16603, 1939, 15273, 6901, 85, 495, 26745, 337, 22495, 2532, 2067, 6443, 2640, 7042, 29606, 443, 73, 2532, 8107, 41782, 607, 16, 1270, 1238, 7000, 34939, 2532, 2067, 6443, 411, 27270, 11442, 42261, 16603, 1180, 443, 73, 2532, 8107, 28059, 608, 338, 25, 16, 0, 686, 248, 28081, 6932, 14, 248, 338, 18, 15, 7586, 15, 741, 3122, 369, 13778, 20085, 597, 286, 18745, 387, 248, 1396, 1906, 276, 8003, 75, 30951, 457, 85, 15418, 1622, 9183, 407, 248, 45807, 4441, 14, 663, 2049, 343, 254, 1362, 1521, 8906, 7109, 555, 643, 9572, 14, 3398, 749, 2966, 16, 188, 32511, 7506, 34738, 274, 254, 2563, 841, 248, 3379, 274, 254, 6932, 2350, 9645, 14, 12476, 30090, 47615, 457, 85, 9901, 286, 8126, 9494, 8089, 367, 1147, 22073, 16824, 614, 749, 596, 452, 4285, 328, 40900, 12343, 274, 38259, 19392, 387, 819, 22497, 16, 188, 8366, 276, 436, 3379, 807, 321, 24910, 324, 20360, 16, 188, 5459, 9388, 14, 15418, 1622, 9183, 9397, 10780, 9572, 330, 3550, 3126, 1469, 19726, 286, 254, 1362, 1521, 8906, 457, 85, 7109, 13189, 91, 22139, 16767, 313, 314, 21, 22, 481, 1678, 14, 16767, 313, 369, 1938, 4299, 328, 2056, 554, 19025, 1205, 1469, 19726, 555, 643, 26099, 276, 3398, 13186, 16, 188, 2300, 7738, 14, 670, 596, 2350, 282, 1354, 616, 14, 596, 1102, 248, 10502, 328, 615, 5952, 457, 85, 22264, 16, 188, 52, 966, 5576, 2464, 1396, 1906, 7109, 16767, 313, 668, 353, 14, 532, 701, 852, 417, 751, 248, 1432, 2306, 432, 254, 1362, 1521, 8906, 16, 2028, 254, 6676, 457, 85, 4507, 13407, 248, 7151, 14, 345, 12920, 353, 282, 321, 248, 1068, 274, 1401, 7051, 16, 188, 5459, 9388, 14, 254, 1401, 457, 85, 4507, 2350, 282, 15418, 1622, 9183, 9397, 14228, 286, 43852, 248, 5666, 16, 188, 510, 3398, 286, 254, 1401, 457, 85, 4507, 497, 19380, 670, 596, 1938, 2950, 254, 38259, 56, 19934, 274, 1396, 1906, 533, 2607, 1469, 19726, 17506, 286, 1468, 5276, 2086, 663, 497, 1628, 407, 615, 4507, 387, 254, 1362, 1521, 8906, 16, 188, 510, 38259, 56, 19934, 669, 2607, 1469, 19726, 17506, 416, 966, 5576, 457, 85, 5952, 1205, 688, 642, 14905, 497, 13952, 14, 3398, 749, 16, 496, 254, 3379, 14, 1469, 19726, 311, 2254, 15673, 14, 15508, 286, 28028, 254, 1401, 16, 188, 23426, 9595, 272, 33039, 1385, 1469, 19726, 286, 16767, 313, 758, 2511, 495, 20, 23, 314, 8399, 2022, 3328, 8256, 19956, 527, 8290, 11, 274, 310, 4926, 286, 2511, 374, 21, 274, 18568, 17530, 8074, 314, 17280, 286, 17011, 274, 12405, 11, 3059, 15, 20, 18, 18, 18, 14, 3398, 3449, 749, 16, 188, 10023, 2067, 367, 1147, 22073, 16824, 614, 23020, 254, 6932, 348, 28081, 16, 769, 1212, 452, 4285, 282, 1041, 353, 40900, 282, 3227, 38259, 19392, 387, 1115, 6452, 14, 282, 3570, 15526, 274, 819, 17534, 1756, 701, 749, 16, 0, 2921, 16893, 9902, 2950, 16001, 15545, 328, 6612, 343, 254, 22804, 8083, 597, 470, 16, 22, 27, 7, 387, 374, 22, 14, 21, 20, 27, 286, 254, 323, 8, 50, 607, 18, 18, 597, 470, 16, 23, 23, 7, 387, 374, 14, 24, 23, 19, 14, 1205, 254, 29583, 1442, 83, 4438, 470, 16, 22, 7, 2103, 387, 719, 14, 26, 22, 18, 16, 380, 1924, 1303, 15, 72, 1481, 35212, 85, 7180, 1280, 2144, 276, 9779, 683, 3159, 286, 5464, 5294, 931, 324, 4452, 2607, 4740, 3017, 286, 44162, 11334, 18925, 16, 27447, 780, 4995, 7702, 3542, 3112, 1205, 254, 44825, 12834, 33334, 282, 2722, 811, 2622, 890, 22, 16, 188, 510, 3449, 7180, 1280, 324, 4452, 2950, 1303, 15, 72, 1481, 35212, 85, 2490, 407, 374, 20, 26, 14, 18, 18, 18, 533, 369, 2917, 1788, 254, 16455, 324, 248, 374, 18, 18, 14, 18, 18, 18, 2490, 16, 1691, 369, 669, 1500, 311, 327, 254, 3278, 31875, 19775, 276, 4452, 2477, 374, 16, 23, 7, 328, 248, 802, 3502, 6958, 248, 20535, 315, 16782, 374, 16, 21, 7, 2490, 276, 4297, 16, 188, 510, 2269, 8548, 32685, 726, 841, 248, 374, 7, 8265, 276, 18390, 4032, 7702, 16, 33529, 4438, 387, 370, 24, 21, 16, 22, 18, 1205, 11697, 43, 6522, 387, 370, 23, 25, 16, 21, 24, 16, 4002, 457, 85, 18390, 4032, 26300, 13898, 282, 890, 16, 18, 19, 2945, 32320, 590, 1362, 533, 311, 254, 1250, 4442, 931, 3270, 328, 1868, 16, 41816, 9575, 4681, 587, 915, 4002, 1354, 687, 254, 1928, 2016, 348, 254, 1499, 457, 85, 5793, 18390, 1571, 5361, 436, 802, 16, 11697, 43, 9129, 31200, 432, 248, 5806, 3280, 11625, 2413, 4182, 436, 802, 14, 286, 7702, 452, 417, 3156, 888, 16, 380, 1689, 2232, 324, 11697, 43, 311, 370, 24, 19, 16, 188, 510, 6697, 274, 473, 40014, 457, 85, 6015, 12775, 587, 1382, 939, 282, 254, 980, 274, 374, 18, 19, 26, 286, 436, 587, 1920, 254, 2703, 6681, 16, 44513, 1924, 18390, 3340, 311, 10718, 314, 20, 23, 14, 18, 18, 18, 271, 19298, 282, 890, 16, 25, 2945, 271, 19298, 1364, 2065, 581, 436, 774, 417, 321, 2151, 282, 7325, 254, 4681, 7825, 16, 380, 1924, 1012, 11029, 4679, 348, 1181, 4032, 348 ]

[ 1, 16, 92, 647, 44777, 426, 4176, 21, 90, 21, 61, 19, 14, 470, 63, 475, 1827, 16, 90, 558, 4176, 21, 90, 21, 61, 19, 14, 338, 63, 475, 1827, 16, 91, 558, 4176, 21, 90, 21, 61, 19, 14, 374, 63, 475, 1827, 16, 92, 647, 362, 92, 426, 4176, 21, 90, 21, 61, 20, 14, 470, 63, 475, 1827, 16, 90, 558, 4176, 21, 90, 21, 61, 20, 14, 338, 63, 475, 1827, 16, 91, 558, 4176, 21, 90, 21, 61, 20, 14, 374, 63, 475, 1827, 16, 92, 2621, 1076, 16160, 16106, 14796, 21, 38, 10, 41837, 14, 44777, 14, 362, 92, 11, 1465, 804, 348, 65, 3538, 21, 6877, 10, 1262, 2192, 2621, 1076, 16160, 16106, 8455, 21, 15149, 10, 1262, 16, 90, 14, 1827, 16, 91, 14, 1827, 16, 92, 14, 8037, 11, 534, 188, 2360, 16160, 16106, 7357, 21, 15149, 10, 5912, 2192, 477, 1800, 16160, 16106, 7357, 21, 15149, 311, 248, 1581, 274, 16160, 16106, 8455, 21, 15149, 4960, 1465, 804, 4623, 4338, 21257, 1262, 14, 269, 1601, 65, 21, 6877, 31, 11033, 2192, 2621, 603, 269, 1601, 65, 21, 6877, 311, 8037, 28, 926, 269, 1601, 65, 21, 6877, 426, 7954, 647, 1827, 3226, 43471, 426, 543, 431, 65, 21, 6877, 16, 26850, 1067, 324, 29939, 65, 21, 6877, 276, 269, 1601, 65, 21, 6877, 63, 1465, 1196, 8897, 477, 804, 269, 1601, 10, 1262, 2192, 2621, 1076, 1827, 3226, 43471, 1465, 1196, 8897, 477, 804, 922, 65, 43471, 10, 1262, 2192, 2621, 1076, 8249, 10, 1262, 16, 43471, 11, 1465, 804, 18769, 10, 1262, 2192, 2621, 1076, 16160, 16106, 7357, 21, 15149, 10, 1262, 16, 43471, 11, 1465, 804, 818, 65, 431, 10, 1262, 14, 29939, 2192, 2621, 1827, 16, 43471, 16, 9436, 10, 431, 11, 1465, 804, 818, 65, 43471, 10, 1262, 14, 29939, 65, 3434, 2192, 2621, 1827, 3226, 43471, 6892, 29939, 65, 3434, 1465, 804, 5228, 65, 1884, 1715, 880, 65, 12222, 422, 65, 10518, 10, 1262, 2192, 2621, 743, 65, 1259, 426, 16160, 16106, 7357, 21, 15149, 10, 1262, 16, 43471, 17775, 338, 3185, 647, 324, 296, 9410, 276, 2413, 10, 19, 14, 1827, 16, 6198, 65, 43471, 2192, 926, 603, 417, 1827, 16, 43471, 61, 2046, 90, 1534, 1021, 256, 65, 1884, 1715, 880, 65, 3014, 10, 1775, 65, 1259, 16, 43471, 16155, 19, 44444, 1003, 743, 65, 1259, 426, 743, 65, 1259, 16, 1855, 65, 3538, 10, 1262, 16, 43471, 61, 2046, 90, 3185, 647, 1076, 743, 65, 1259, 1465, 804, 6429, 10, 1262, 14, 1495, 2192, 647, 11916, 647, 7960, 958, 2292, 763, 3005, 286, 6374, 254, 6429, 348, 248, 743, 1360, 1269, 1110, 2462, 14, 12938, 343, 1841, 20833, 2704, 12938, 286, 10963, 18851, 31186, 869, 254, 763, 3132, 3005, 647, 11916, 2621, 1076, 16160, 16106, 7357, 21, 15149, 10, 1262, 16, 43471, 558, 1495, 16, 43471, 11, 1465, 1196, 8897, 477, 804, 2884, 65, 21, 70, 10, 1262, 2192, 2621, 2884, 426, 470, 16, 18, 647, 324, 296, 9410, 276, 2413, 10, 1262, 16, 6198, 65, 43471, 428, 338, 2192, 926, 2884, 6892, 1827, 16, 43471, 61, 2046, 90, 1534, 1021, 256, 65, 19316, 10, 1262, 16, 43471, 61, 2046, 90, 558, 338, 3185, 647, 1076, 2884, 1465, 1196, 8897, 477, 804, 2884, 65, 20, 70, 10, 1262, 2192, 2621, 2884, 426, 470, 16, 18, 647, 324, 296, 9410, 276, 2413, 10, 1262, 16, 6198, 65, 43471, 428, 338, 2192, 926, 2884, 6892, 1827, 16, 43471, 61, 2046, 90, 1534, 19316, 65, 20, 70, 10, 1262, 16, 43471, 61, 2046, 90, 558, 338, 3185, 647, 1076, 2884, 1465, 804, 1164, 85, 10, 1262, 2192, 2621, 1076, 15313, 16, 3604, 8622, 431, 16, 82, 65, 92, 324, 29939, 276, 1827, 16, 43471, 3185, 1465, 804, 1164, 85, 65, 1410, 65, 11622, 10, 1262, 2192, 2621, 1076, 15313, 16, 3604, 8622, 431, 324, 29939, 276, 1827, 16, 43471, 603, 417, 3432, 267, 10, 431, 16, 82, 65, 92, 11, 3185, 1465, 1196, 8897, 477, 804, 1164, 65, 1204, 10, 1262, 2192, 2621, 1076, 15313, 16, 11622, 1204, 10, 1262, 16, 92, 85, 6472, 1465, 1196, 8897, 477, 804, 1164, 65, 3958, 10, 1262, 2192, 2621, 1076, 15313, 16, 11622, 3958, 10, 1262, 16, 92, 85, 6472, 1465, 1196, 8897, 477, 804, 1164, 65, 10440, 10, 1262, 2192, 2621, 1076, 15313, 16, 11622, 10440, 10, 1262, 16, 92, 85, 6472, 1465, 1196, 8897, 477, 804, 1164, 65, 1984, 10, 1262, 2192, 2621, 1076, 15313, 16, 11622, 1984, 10, 1262, 16, 92, 85, 6472, 1465, 1196, 8897, 477, 804, 1164, 65, 8179, 10, 1262, 2192, 2621, 1076, 15313, 16, 11622, 8179, 10, 1262, 16, 92, 85, 6472, 1465, 804, 31615, 65, 3857, 65, 21, 70, 10, 1262, 2192, 2621, 31615, 65, 3857, 65, 3434, 426, 7954, 647, 2884, 426, 470, 16, 18, 647, 31615, 65, 3857, 65, 3434, 16, 9436, 10, 3857, 11, 647, 324, 296, 9410, 276, 2413, 10, 1262, 16, 6198, 65, 43471, 428, 338, 2192, 926, 2884, 6892, 1827, 16, 43471, 61, 2046, 90, 1534, 1021, 256, 65, 19316, 10, 1262, 16, 43471, 61, 2046, 90, 558, 338, 3185, 926, 31615, 65, 3857, 65, 3434, 16, 9436, 10, 3857, 11, 2621, 1076, 31615, 65, 3857, 65, 3434, 1465, 804, 31615, 65, 3857, 65, 20, 70, 10, 1262, 2192, 2621, 31615, 65, 3857, 65, 3434, 426, 7954, 647, 2884, 426, 470, 16, 18, 647, 31615, 65, 3857, 65, 3434, 16, 9436, 10, 3857, 11, 647, 324, 296, 9410, 276, 2413, 10, 1262, 16, 6198, 65, 43471, 428, 338, 2192, 926, 2884, 6892, 1827, 16, 43471, 61, 2046, 90, 1534, 19316, 65, 20, 70, 10, 1262, 16, 43471, 61, 2046, 90, 558, 338, 3185, 926, 31615, 65, 3857, 65, 3434, 16, 9436, 10, 3857, 11, 2621, 1076, 31615, 65, 3857, 65, 3434, 1465, 804, 7893, 65, 20649, 10, 1262, 2192, 2621, 743, 65, 1259, 426, 1827, 16, 26850, 1067, 647, 743, 65, 1259, 16, 43471, 16, 31336, 1067, 210, 1800, 276, 15, 4919, 4116, 328, 743, 65, 1259, 2621, 1076, 743, 65, 1259, 1465, 804, 27680, 65, 3434, 10, 1262, 2192, 2621, 27680, 65, 3434, 426, 7954, 647, 324, 296, 9410, 276, 2413, 10, 1262, 16, 6198, 65 ]

[ 1, 4564, 248, 8901, 282, 254, 1032, 1595, 663, 587, 1938, 7325, 665, 9199, 8901, 3692, 14743, 2622, 729, 3, 0, 1244, 24377, 40999, 4517, 255, 15926, 311, 4024, 324, 2086, 11559, 374, 23375, 428, 338, 26, 16, 12405, 774, 9811, 324, 1125, 1090, 387, 248, 5081, 274, 1015, 2237, 286, 21699, 1707, 328, 2289, 286, 3621, 16, 3699, 7212, 44566, 1354, 15125, 276, 2367, 343, 772, 17137, 283, 15760, 282, 3054, 615, 1827, 15, 38402, 14, 1916, 2214, 15721, 286, 48170, 6750, 16, 4517, 255, 283, 15760, 403, 4153, 343, 2269, 14, 2869, 877, 286, 14032, 16, 3789, 24377, 40999, 4517, 255, 15926, 4279, 3609, 286, 3835, 3819, 11824, 282, 2941, 32042, 286, 11522, 899, 254, 9470, 286, 5445, 16, 1395, 457, 307, 1144, 2059, 343, 254, 1515, 14, 1012, 1663, 17137, 343, 254, 1640, 3, 0, 2515, 663, 311, 254, 3972, 2257, 4149, 255, 17899, 60, 47320, 3516, 2966, 348, 9878, 1401, 279, 10907, 17, 19368, 23490, 2341, 5675, 8462, 20490, 7682, 317, 4595, 33, 188, 510, 2586, 7358, 327, 769, 30376, 317, 4595, 666, 369, 13407, 407, 2006, 942, 8222, 282, 9709, 597, 248, 7621, 14, 532, 345, 769, 4668, 6801, 12714, 282, 11073, 729, 1397, 380, 2504, 434, 944, 3466, 4070, 636, 8282, 369, 14732, 1269, 3860, 16, 188, 35790, 719, 5207, 14, 254, 2586, 16275, 695, 769, 30376, 317, 4595, 666, 11535, 14, 533, 369, 9024, 2318, 436, 8820, 16, 23821, 47050, 706, 2357, 16, 452, 2486, 282, 17110, 2075, 615, 769, 30376, 317, 4595, 666, 2835, 14738, 16, 47050, 14, 719, 19, 14, 311, 34609, 387, 1628, 16, 188, 22934, 28, 17899, 60, 769, 14666, 1514, 666, 695, 6151, 32766, 2160, 16, 5403, 398, 641, 30975, 14, 274, 2211, 14, 324, 19474, 3972, 5435, 282, 257, 635, 302, 1401, 13627, 34462, 1068, 16, 5066, 295, 21273, 769, 30376, 317, 4595, 666, 7315, 284, 2770, 436, 671, 2701, 2056, 282, 5228, 35967, 778, 314, 4465, 311, 16741, 274, 695, 17949, 23606, 624, 683, 338, 18, 18, 2008, 481, 0, 57, 1481, 4257, 8820, 14, 811, 6636, 6400, 3238, 274, 17964, 16, 330, 2519, 28150, 19453, 862, 29041, 1923, 13743, 4759, 14, 21303, 687, 44937, 18612, 10427, 37523, 286, 35632, 862, 939, 391, 14750, 14, 20226, 44473, 314, 264, 403, 596, 4417, 14276, 274, 272, 545, 349, 9329, 39682, 16, 367, 8991, 786, 7197, 939, 254, 15666, 41854, 274, 7656, 14, 44937, 19512, 1381, 690, 266, 16, 330, 1361, 274, 14364, 3809, 248, 10985, 2654, 9884, 14, 1205, 248, 20853, 1923, 2986, 10132, 37089, 2006, 2042, 20973, 28603, 324, 248, 7122, 6092, 276, 248, 4647, 15, 288, 1153, 265, 16414, 15041, 248, 1603, 13003, 4525, 1919, 14, 2722, 282, 254, 20057, 17155, 16, 1223, 2486, 14, 3148, 3032, 1311, 14, 348, 2101, 254, 8262, 860, 44811, 274, 1493, 2257, 14, 13952, 8952, 286, 25841, 273, 18929, 17017, 3471, 276, 436, 13585, 34185, 16, 188, 1516, 369, 254, 6029, 670, 360, 13407, 25834, 1348, 2955, 29911, 4762, 1091, 4002, 457, 85, 650, 15, 1234, 7369, 15, 2641, 5048, 569, 35449, 14, 480, 2789, 265, 276, 338, 27, 27, 26, 841, 10387, 4682, 42320, 7465, 1922, 6166, 16, 14168, 1218, 248, 1162, 274, 7570, 328, 254, 1619, 14, 360, 3159, 254, 14364, 286, 615, 18929, 14, 532, 360, 4428, 457, 86, 452, 17181, 254, 9464, 780, 14, 3920, 81, 15, 498, 325, 14, 12024, 1922, 17395, 248, 7732, 271, 28742, 1091, 390, 1952, 16, 6236, 772, 33290, 33193, 4403, 360, 11981, 368, 25834, 1348, 286, 380, 7540, 15946, 2214, 11055, 695, 3056, 1091, 1002, 276, 254, 2377, 274, 5274, 286, 385, 24616, 319, 16, 2646, 248, 23795, 14, 16466, 5786, 343, 749, 7512, 314, 9736, 13328, 282, 1052, 3997, 432, 254, 7109, 14, 282, 254, 3398, 14, 282, 254, 425, 9450, 527, 769, 7382, 995, 666, 5569, 360, 4936, 597, 581, 248, 1603, 4150, 416, 8937, 1652, 441, 580, 4813, 328, 254, 18166, 16, 29684, 772, 448, 357, 10792, 670, 360, 6705, 248, 888, 12676, 387, 254, 980, 274, 772, 4741, 3, 188, 19499, 254, 3379, 282, 915, 748, 1952, 360, 1102, 286, 13700, 1051, 324, 772, 25834, 1348, 7315, 19147, 16, 188, 8915, 2101, 626, 369, 210, 777, 1593, 3103, 14, 436, 4313, 747, 353, 369, 3136, 248, 790, 15425, 3, 188, 43, 715, 3686, 276, 378, 44, 286, 715, 13513, 282, 915, 327, 1619, 16, 11166, 14, 310, 452, 1218, 327, 254, 1619, 311, 838, 1061, 35818, 16882, 16, 3063, 368, 865, 1826, 353, 311, 1311, 4269, 9787, 248, 4010, 33, 9615, 353, 4793, 1525, 248, 576, 15, 23, 2942, 671, 9863, 33, 0, 12254, 1570, 560, 20771, 5050, 289, 507, 294, 14, 3970, 573, 615, 6546, 288, 5423, 20228, 343, 248, 3046, 274, 1985, 17880, 16, 380, 9748, 3144, 432, 14794, 286, 16565, 7960, 323, 1343, 457, 85, 10828, 17049, 314, 6512, 1002, 555, 4325, 8333, 387, 1683, 481, 188, 1934, 16545, 436, 2288, 14, 360, 1143, 248, 4422, 274, 7092, 301, 3988, 13923, 13393, 936, 1746, 406, 1028, 276, 39513, 15858, 16, 188, 2778, 395, 1938, 282, 330, 15, 30141, 1723, 276, 1572, 487, 87, 5804, 286, 248, 14584, 15, 483, 289, 507, 294, 1642, 15, 484, 8745, 5742, 3027, 3, 0, 3116, 1963, 14131, 254, 9423, 274, 25362, 45532, 16, 2666, 5769, 369, 248, 45073, 4612, 276, 520, 8998, 1842, 286, 618, 28348, 3240, 311, 248, 3960, 45073, 4612, 2966, 16, 188, 1212, 4149, 2734, 286, 2019, 324, 618, 3240, 282, 1115, 276, 35990, 16, 2666, 769, 79, 1808, 457, 85, 2710, 666, 1144, 398, 775, 328, 286, 772, 14643, 6982, 3684, 348, 254, 13639, 328, 254, 1874, 1360, 2413, 432, 9307, 17826, 282, 26590, 276, 248, 2563, 274, 7061, 16, 188, 45379, 274, 254, 4717, 14, 310, 17137, 775, 328, 282, 254, 1062, 980, 16, 188, 1516, 2391, 8621, 520, 2214, 1856, 254, 801, 763, 3830, 16, 1547, 1652, 9756, 274, 254, 3894, 14, 1143, 615, 11676, 14, 19057, 1051, 254, 1631, 14, 286, 9745, 1347, 1661, 3, 2028, 615, 13394, 328, 4590, 852, 417, 563, 276, 14, 596, 3477, 286, 3477, 959, 16, 1547, 6139, 432, 254, 4254, 596, 9568, 16, 6236, 254, 2543, 2099, 596, 497, 6214, 14, 532, 596, 3285, 2517, 343, 615 ]

[ 1, 272, 38018, 15, 10887, 2890, 9271, 4969, 311, 12846, 25978, 14, 1205, 1093, 417, 2258, 343, 38018, 403, 10234, 348, 1303, 15, 455, 12253, 286, 2793, 274, 1125, 21240, 314, 29492, 293, 15, 4630, 291, 1145, 356, 16, 374, 18, 18, 20, 481, 188, 510, 40739, 274, 16530, 311, 7733, 407, 23287, 22310, 21406, 14, 1303, 15, 5989, 22310, 4233, 251, 11806, 14, 286, 6544, 10414, 314, 45, 16016, 1145, 356, 16, 374, 18, 19, 21, 481, 4425, 5567, 2257, 5289, 11956, 311, 8649, 407, 9875, 31641, 4144, 282, 23572, 15590, 297, 13973, 14, 22310, 29226, 14, 4233, 15551, 6288, 14, 286, 22310, 27016, 16, 18090, 349, 15590, 297, 13973, 311, 254, 898, 274, 46573, 5862, 6441, 21492, 276, 8758, 2306, 282, 272, 42519, 16852, 386, 390, 24281, 258, 314, 16297, 374, 18, 18, 25, 481, 3774, 956, 1024, 3316, 20450, 274, 22310, 21406, 311, 24034, 274, 16530, 14, 1125, 2153, 274, 16530, 774, 756, 452, 248, 7691, 20450, 276, 2257, 5289, 286, 276, 688, 2153, 641, 20450, 274, 21406, 16, 380, 4092, 22310, 21406, 774, 276, 628, 321, 1899, 282, 22310, 27016, 16, 31481, 568, 403, 1311, 29287, 282, 2033, 254, 3138, 40739, 274, 436, 29, 2228, 14, 29399, 274, 3017, 2533, 407, 254, 46573, 24128, 3032, 282, 321, 254, 2165, 276, 254, 15227, 10414, 14, 5862, 6441, 35996, 14, 15116, 3170, 14, 425, 10747, 1296, 14, 20503, 6212, 45116, 14, 286, 2477, 618, 38489, 15055, 505, 286, 37544, 2348, 314, 25165, 340, 1145, 356, 16, 374, 18, 18, 18, 481, 188, 686, 25978, 16530, 14, 5578, 274, 20346, 1317, 286, 309, 24720, 314, 1031, 20, 11, 1317, 407, 42519, 21559, 5480, 282, 3170, 286, 14671, 274, 1818, 34414, 14, 12361, 303, 18869, 266, 14, 286, 15568, 314, 16297, 374, 18, 18, 25, 481, 9763, 15568, 276, 436, 24455, 2408, 5120, 15, 22, 14, 5120, 15, 19, 21, 14, 286, 5120, 15, 23, 14, 254, 5987, 274, 533, 311, 254, 3505, 2542, 324, 254, 9566, 274, 25917, 47110, 16, 444, 15010, 47110, 13088, 286, 13368, 4373, 15227, 22310, 10414, 407, 19836, 12361, 303, 18869, 266, 14, 9848, 1617, 4185, 14, 286, 15079, 15, 24973, 16, 826, 311, 5032, 343, 1470, 42546, 1818, 35308, 4501, 25917, 27973, 24677, 713, 254, 26892, 286, 254, 22310, 286, 12030, 527, 10088, 3280, 274, 254, 22310, 31197, 314, 25165, 340, 1145, 356, 16, 374, 18, 18, 18, 481, 188, 686, 512, 41680, 274, 16530, 11817, 14, 10842, 14, 10021, 14, 390, 5300, 14, 626, 403, 5032, 1818, 10750, 9271, 2462, 16, 496, 1081, 254, 18998, 286, 16426, 2257, 1540, 14, 13544, 35438, 14, 563, 925, 86, 886, 40478, 14, 745, 45999, 19409, 14, 24677, 274, 9875, 31641, 14, 46573, 5862, 6441, 35996, 14, 286, 10878, 2462, 403, 512, 2458, 314, 21498, 302, 374, 18, 18, 21, 481, 9673, 836, 5032, 2462, 14, 254, 2211, 274, 16530, 311, 4629, 276, 695, 11817, 286, 9739, 687, 272, 1999, 457, 85, 1464, 286, 869, 4153, 16, 1180, 254, 4869, 274, 1338, 14, 16530, 9263, 2318, 276, 1464, 343, 2417, 2533, 324, 2363, 1648, 387, 6189, 2642, 14, 18359, 488, 71, 8314, 14, 286, 16612, 2803, 274, 16530, 314, 20, 481, 188, 17651, 16530, 23029, 403, 6752, 2533, 819, 348, 2257, 16942, 14, 15602, 10985, 14, 27188, 27052, 14, 23564, 24281, 560, 314, 47492, 279, 3149, 14, 279, 3388, 14, 28253, 14, 37862, 14, 286, 11377, 288, 3718, 11, 286, 17103, 24281, 560, 314, 12243, 14, 10307, 14, 286, 31780, 30240, 581, 5598, 14, 286, 10063, 314, 40957, 374, 18, 19, 20, 29, 18482, 1145, 356, 16, 374, 18, 19, 25, 11, 314, 3131, 374, 481, 6517, 268, 10063, 286, 41175, 24281, 560, 403, 763, 274, 254, 944, 1726, 6752, 2533, 4144, 282, 16530, 2363, 14, 24477, 14, 286, 6648, 16530, 11817, 314, 48, 10754, 5988, 374, 18, 18, 25, 481, 11166, 24281, 560, 286, 642, 6752, 2533, 403, 248, 2196, 9379, 324, 1125, 343, 16530, 14, 3316, 27771, 311, 2156, 7282, 14, 286, 5582, 27771, 16530, 2156, 4417, 3812, 16, 1180, 1093, 417, 18832, 282, 27771, 14, 1914, 311, 1707, 328, 19254, 4155, 286, 11817, 274, 2642, 16, 21941, 6444, 16472, 403, 42519, 2094, 15, 19986, 9579, 20, 15, 5001, 1322, 286, 1307, 469, 14722, 1302, 972, 16, 7845, 15, 3818, 1423, 16472, 403, 900, 282, 1519, 15227, 16530, 286, 2408, 42519, 1034, 15, 19986, 9579, 20, 15, 35165, 14, 1307, 469, 14722, 1302, 972, 14, 47799, 14, 261, 409, 312, 1337, 11593, 14, 286, 7736, 12361, 303, 363, 1704, 767, 13409, 286, 9497, 90, 14316, 1083, 16, 8995, 327, 1836, 282, 3669, 282, 5871, 4767, 4728, 1788, 774, 3669, 282, 1745, 9271, 5913, 7100, 328, 615, 26838, 8922, 274, 16530, 314, 7055, 43, 374, 18, 19, 25, 481, 1822, 1302, 258, 42298, 311, 669, 272, 4360, 670, 626, 311, 248, 2508, 5697, 869, 16530, 5749, 286, 47721, 286, 17, 264, 22239, 24281, 560, 314, 48, 10754, 5988, 374, 18, 18, 25, 481, 35572, 1483, 27635, 933, 321, 40508, 282, 276, 1316, 282, 6207, 17510, 23029, 16, 188, 9556, 16530, 14, 254, 1283, 26161, 35636, 7223, 21240, 16, 2514, 13099, 311, 6544, 23572, 5728, 14, 533, 311, 248, 5950, 274, 14564, 7733, 407, 248, 6544, 21930, 12597, 324, 495, 5255, 2524, 248, 802, 324, 387, 1824, 374, 12294, 1090, 314, 9059, 6043, 374, 18, 19, 20, 481, 4675, 11713, 340, 781, 311, 1495, 26625, 4645, 432, 254, 9665, 2863, 274, 356, 307, 10154, 314, 27240, 266, 372, 473, 6185, 1145, 356, 16, 374, 18, 19, 20, 481, 12077, 254, 356, 307, 10154, 254, 22310, 24254, 254, 757, 24898, 432, 254, 38357, 44275, 3202, 282, 1920, 254, 22310, 9219, 16, 380, 16530, 15, 26090, 38, 14382, 8992, 314, 1878, 2611, 11, 311, 248, 13099, 24658, 274, 1081, 3273, 39797, 314, 18102, 1318, 1145, 356, 16, 374, 18, 18, 25, 481, 380, 5950, 274, 11619, 2611, 311, 3273, 14, 286, 343, 944, 274, 254, 2165, 5749, 1129, 5926, 869, 6141, 26161, 286, 16530, 14, 353, 1949, 11023, 282, 254, 5527, 274, 13243, 2328, 436, 5950, 314, 25246, 19373, 1145, 356, 16, 338, 27, 27, 22, 29, 27848, 374, 18, 18, 20, 11, 314, 1439, 16, 338, 481, 188, 26090, 38, 311, 2696 ]

[ 1, 2312, 2621, 324, 2165, 14, 816, 276, 2712, 16, 2480, 15135, 10, 6608, 65, 1984, 65, 12573, 4862, 35436, 5868, 2192, 926, 603, 2165, 417, 276, 512, 65, 12573, 28, 1003, 6975, 330, 1998, 2466, 4608, 10, 2498, 347, 24474, 272, 12100, 22737, 4020, 24318, 85, 20652, 2498, 347, 282, 1308, 2706, 65, 1262, 65, 18542, 65, 10490, 65, 14912, 4, 2384, 2165, 1003, 2312, 926, 1922, 65, 1984, 65, 12573, 61, 2290, 63, 426, 816, 647, 1419, 1922, 65, 1984, 65, 12573, 4862, 35436, 5868, 647, 1800, 12306, 254, 2347, 4616, 684, 2825, 9, 311, 867, 647, 603, 1827, 16, 6505, 65, 8552, 16, 8552, 65, 2123, 65, 28552, 286, 11865, 2825, 9, 417, 276, 1922, 65, 1984, 65, 12573, 390, 210, 1800, 641, 30428, 28, 444, 23, 18, 19, 41369, 1922, 65, 1984, 65, 12573, 4862, 2825, 5868, 311, 8037, 2192, 210, 1800, 641, 30428, 28, 444, 23, 18, 19, 926, 6975, 330, 1998, 3776, 4608, 1551, 35446, 254, 2347, 4616, 2551, 2825, 66, 670, 6607, 2551, 6767, 65, 1262, 65, 18542, 65, 10490, 65, 14912, 66, 2719, 210, 1800, 641, 30428, 28, 444, 23, 18, 19, 2621, 4698, 65, 629, 1781, 426, 11836, 2621, 1802, 65, 12573, 426, 11836, 2621, 7123, 65, 12573, 426, 7954, 647, 603, 684, 35376, 65, 6149, 9, 276, 1922, 65, 1984, 65, 12573, 286, 1922, 65, 1984, 65, 12573, 4862, 35376, 65, 6149, 5868, 311, 417, 8037, 28, 210, 1800, 641, 30428, 28, 444, 23, 18, 19, 926, 7123, 65, 12573, 16, 9436, 10, 2012, 35376, 12610, 1358, 1922, 65, 1984, 65, 12573, 4862, 35376, 65, 6149, 46005, 210, 1800, 641, 30428, 28, 444, 23, 18, 19, 647, 603, 684, 3313, 65, 20040, 9, 276, 1922, 65, 1984, 65, 12573, 286, 1922, 65, 1984, 65, 12573, 4862, 3313, 65, 20040, 5868, 311, 417, 8037, 28, 210, 1800, 641, 30428, 28, 444, 23, 18, 19, 926, 7123, 65, 12573, 16, 9436, 10, 2012, 3313, 8006, 1358, 1922, 65, 1984, 65, 12573, 4862, 3313, 65, 20040, 46005, 210, 1800, 641, 30428, 28, 444, 23, 18, 19, 647, 603, 684, 36806, 9, 276, 1922, 65, 1984, 65, 12573, 286, 1922, 65, 1984, 65, 12573, 4862, 36806, 5868, 311, 417, 8037, 28, 210, 1800, 641, 30428, 28, 444, 23, 18, 19, 926, 7123, 65, 12573, 16, 9436, 10, 2012, 36806, 1358, 1922, 65, 1984, 65, 12573, 4862, 36806, 46005, 210, 1800, 641, 30428, 28, 444, 23, 18, 19, 2621, 10207, 65, 12573, 426, 11836, 2621, 825, 65, 12573, 426, 7954, 647, 1922, 65, 1984, 65, 10947, 426, 11836, 2621, 2069, 65, 12573, 426, 8037, 647, 603, 684, 2825, 9, 276, 1922, 65, 1984, 65, 12573, 28, 926, 2069, 65, 12573, 426, 1922, 65, 1984, 65, 12573, 4862, 2825, 5868, 647, 1800, 17106, 10207, 2551, 27992, 66, 647, 10207, 65, 12573, 4862, 27992, 5868, 426, 1827, 16, 6505, 65, 8552, 16, 6946, 65, 9879, 65, 14360, 10, 926, 14018, 12899, 17, 8233, 1358, 684, 12899, 17, 32298, 1358, 684, 12899, 17, 45138, 16, 43285, 16, 29186, 22673, 210, 1800, 641, 30428, 28, 444, 23, 18, 19, 2621, 1800, 5117, 22343, 4610, 647, 24088, 65, 17001, 426, 14018, 4534, 11952, 10906, 5868, 210, 1800, 641, 30428, 28, 444, 23, 18, 19, 2621, 1076, 1827, 16, 6505, 65, 8552, 16, 3934, 65, 6505, 10, 926, 17373, 28989, 17, 7382, 1296, 16, 77, 26, 85, 16, 892, 17, 88, 19, 2383, 19, 17, 1262, 18542, 10490, 14912, 85, 1358, 684, 15307, 1358, 926, 1802, 65, 12573, 14, 926, 7123, 65, 12573, 14, 926, 10207, 65, 12573, 14, 926, 2069, 31, 2825, 65, 12573, 14, 926, 1470, 65, 12573, 31, 629, 65, 12573, 14, 926, 4227, 31, 6608, 65, 1984, 65, 10947, 14, 926, 2306, 65, 875, 5313, 56, 19, 2383, 19, 22586, 18416, 11190, 18124, 1358, 210, 1800, 641, 30428, 28, 444, 23, 18, 19, 926, 24088, 65, 17001, 31, 14006, 65, 17001, 14, 926, 19997, 65, 11915, 31, 6608, 65, 1984, 65, 12573, 16, 784, 2012, 26291, 65, 11915, 11162, 926, 791, 2238, 65, 2337, 65, 2137, 65, 7286, 31, 6608, 65, 1984, 65, 12573, 16, 784, 2012, 65, 2238, 65, 2337, 65, 2137, 65, 7286, 11162, 210, 1800, 641, 30428, 28, 444, 23, 18, 19, 926, 791, 82, 39735, 65, 5901, 31, 6608, 65, 1984, 65, 12573, 16, 784, 2012, 65, 82, 39735, 65, 5901, 1358, 11475, 581, 926, 791, 9376, 65, 23138, 31, 6608, 65, 1984, 65, 12573, 16, 784, 2012, 65, 9376, 65, 23138, 11162, 926, 4698, 65, 629, 1781, 31, 24489, 65, 629, 1781, 11, 1465, 804, 2706, 65, 1262, 65, 18542, 65, 24716, 65, 14912, 10, 1262, 14, 2069, 14, 1375, 35436, 2192, 210, 1800, 641, 30428, 28, 444, 23, 18, 19, 647, 11916, 6767, 65, 1262, 65, 18542, 65, 24716, 65, 14912, 210, 1800, 641, 30428, 28, 444, 23, 18, 19, 2621, 2706, 248, 16077, 18416, 30825, 18124, 210, 1800, 641, 30428, 28, 444, 23, 18, 19, 647, 826, 1308, 2701, 248, 33003, 17106, 2662, 407, 4145, 16, 1860, 1041, 272, 647, 34244, 17106, 2662, 14, 4356, 1477, 19997, 65, 11915, 31, 4937, 647, 29708, 6121, 426, 22639, 16, 6767, 65, 1262, 65, 18542, 65, 24716, 65, 14912, 10, 2825, 14, 19997, 65, 11915, 31, 4937, 11, 647, 29708, 898, 426, 6121, 16, 784, 1067, 2621, 1146, 3457, 19997, 65, 11915, 7108, 28, 12835, 2662, 28273, 3955, 647, 1146, 3457, 655, 19, 2383, 19, 22586, 18416, 30825, 18124, 2069, 28, 314, 16866, 11, 647, 1146, 3457, 1195, 5909, 65, 6149, 28, 2028, 1225, 14, 6318, 327, 14188, 933, 417, 321, 31014, 16, 740, 11751, 390, 440, 34149, 5909, 12610, 25876, 587, 898, 276, 272, 2160, 2306, 286, 641, 1949, 5009, 274, 254, 2662, 16, 32688, 2127, 403, 28, 428, 1822, 28, 512, 5909, 1382, 8435, 587, 321, 11424, 647, 1146, 3457, 1195, 1631, 65, 20040, 28, 1631, 8006, 311, 248, 1390, 2258, 343, 254, 12017, 390, 10444, 327, 311, 2328, 836, 2462, 16, 380, 1294, 1339, 321, 1637, 683, 390, 338, 20, 26, 5645, 1034, 14, 286, 756, 3706, 3270, 494, 5645, 14, 348, 2840, 407, 5817, 1333, 40411, 16, 2000, 17, 19333, 17, 42302, 20590, 2433, 16670, 16, 647, 1146, 3457, 1195, 3837, 28, 1286 ]

[ 1, 9598, 22893, 362, 19, 16, 20, 16, 18, 1180, 254, 2951, 668, 3965, 45, 25584, 232, 10198, 14693, 25584, 232, 10967, 11039, 25584, 232, 9157, 3039, 25584, 232, 17716, 30999, 1151, 10699, 9598, 22893, 362, 19, 16, 20, 16, 18, 3817, 1333, 827, 656, 8913, 1194, 92, 16, 31402, 16, 679, 17, 20, 18, 19, 20, 17, 19, 18, 17, 35702, 15, 8913, 15, 16078, 15, 8018, 11039, 15, 11699, 3039, 65, 21, 23, 18, 18, 16, 2880, 43941, 1180, 826, 3965, 45, 25584, 232, 10198, 14693, 25584, 232, 10967, 11039, 25584, 232, 9157, 3039, 25584, 232, 17716, 30999, 1151, 10699, 9598, 22893, 362, 19, 16, 20, 16, 18, 1258, 85, 1860, 29770, 3826, 16, 0, 510, 1225, 3565, 6846, 282, 272, 8322, 18710, 2474, 282, 254, 28161, 628, 274, 12151, 338, 274, 254, 3790, 16, 188, 18328, 8322, 18710, 390, 18710, 311, 900, 7361, 5740, 276, 254, 2703, 16, 188, 1130, 3672, 248, 3292, 17005, 14, 1143, 274, 23229, 825, 14, 3673, 276, 254, 825, 274, 248, 13391, 16197, 14, 286, 16939, 867, 14, 324, 1610, 14, 960, 248, 39540, 4458, 14, 276, 254, 4992, 29410, 14, 286, 32945, 254, 2960, 4139, 4301, 276, 254, 13007, 274, 254, 4292, 6744, 16, 411, 1426, 254, 2960, 4139, 403, 18813, 7332, 282, 254, 7638, 274, 254, 17005, 16, 380, 29563, 628, 274, 254, 5473, 18710, 555, 248, 10088, 1450, 343, 17005, 2960, 4139, 16, 411, 1426, 254, 2960, 4139, 286, 17005, 2960, 4105, 403, 4652, 14, 324, 1610, 407, 30102, 273, 14, 282, 254, 7435, 274, 8322, 38183, 16, 5995, 254, 4992, 2069, 276, 254, 3514, 274, 254, 3565, 10487, 282, 254, 2069, 390, 29410, 274, 665, 5473, 390, 6864, 6402, 14, 819, 348, 6864, 12323, 2725, 390, 6864, 2725, 1423, 14, 7871, 2382, 4652, 343, 642, 8322, 390, 6864, 2725, 14, 1826, 254, 2520, 390, 254, 1575, 10354, 16, 1860, 3536, 254, 30967, 291, 13864, 274, 254, 10088, 1450, 432, 254, 4292, 6744, 390, 260, 3067, 792, 77, 748, 310, 10088, 1450, 14, 324, 1610, 14, 1899, 282, 6779, 14, 3082, 274, 17302, 254, 10088, 1450, 10088, 20027, 13843, 314, 72, 13973, 11, 311, 3673, 2449, 324, 3684, 2886, 254, 10088, 1450, 10088, 17348, 4898, 14, 324, 1610, 407, 39540, 4458, 274, 254, 35696, 276, 279, 456, 1580, 16, 2807, 13864, 254, 29563, 628, 432, 254, 4092, 628, 274, 254, 18710, 819, 3684, 2886, 38903, 14, 286, 626, 311, 248, 5274, 327, 254, 8322, 18710, 311, 4133, 6111, 286, 1002, 841, 520, 4824, 16, 188, 510, 3596, 3949, 276, 254, 3565, 8194, 254, 8322, 18710, 314, 42633, 581, 12151, 338, 14, 274, 254, 7021, 369, 1707, 328, 254, 4686, 274, 5983, 254, 2034, 274, 21090, 274, 254, 8322, 18710, 14, 533, 650, 321, 2875, 276, 5719, 282, 21407, 286, 18882, 273, 14, 286, 387, 254, 1057, 671, 650, 5256, 254, 13005, 274, 254, 20091, 4105, 274, 254, 8322, 18710, 16, 188, 39153, 6905, 274, 254, 3565, 2474, 282, 12151, 374, 274, 254, 7021, 555, 254, 5585, 327, 254, 29563, 628, 274, 254, 5473, 18710, 14, 10492, 248, 10088, 1450, 14, 3256, 14, 15353, 286, 35953, 10594, 276, 248, 3841, 7827, 274, 254, 10088, 14, 436, 2034, 17973, 10088, 1450, 10088, 14, 328, 254, 580, 1116, 14, 286, 276, 254, 2069, 274, 254, 10088, 14, 328, 254, 642, 1116, 14, 403, 25041, 343, 1004, 642, 593, 327, 328, 311, 37310, 5166, 40456, 494, 10088, 615, 3357, 286, 254, 6215, 274, 695, 10360, 1269, 23277, 254, 10088, 16, 188, 39153, 6905, 274, 254, 3565, 2474, 282, 12151, 495, 14, 254, 7021, 311, 7273, 324, 665, 8322, 35696, 14, 7733, 276, 28161, 628, 274, 12151, 338, 274, 254, 7021, 14, 532, 3233, 324, 8322, 35696, 1143, 276, 8726, 343, 32079, 338, 390, 374, 274, 254, 7021, 14, 974, 436, 4360, 3290, 248, 2875, 14, 9377, 286, 8342, 18710, 343, 2623, 8322, 35696, 324, 580, 6864, 2725, 16, 188, 39153, 6905, 274, 254, 3565, 2474, 282, 12151, 576, 14, 274, 254, 7021, 555, 254, 5585, 327, 254, 29563, 628, 274, 254, 1250, 18710, 14, 10088, 1450, 14, 3256, 14, 15353, 286, 35953, 13035, 713, 254, 16939, 628, 274, 254, 1250, 18710, 16, 188, 12847, 374, 428, 3893, 5473, 17005, 16, 188, 5513, 1044, 338, 8322, 18710, 1311, 7826, 276, 254, 29410, 274, 8322, 6402, 314, 250, 254, 4078, 1068, 28, 254, 2069, 274, 254, 4992, 481, 731, 311, 4301, 276, 254, 23229, 13007, 8934, 2960, 628, 495, 19, 14, 533, 311, 18813, 7332, 282, 254, 7638, 274, 254, 4292, 6744, 14, 1477, 939, 254, 4853, 19001, 286, 25442, 2418, 713, 254, 13007, 274, 254, 4292, 6744, 16, 1860, 254, 7435, 274, 254, 8934, 2960, 2429, 311, 616, 25442, 26992, 432, 254, 4853, 274, 254, 19001, 7093, 254, 4853, 1874, 14, 1202, 3353, 254, 7435, 274, 254, 38183, 374, 23, 14, 374, 24, 16, 188, 33800, 494, 10088, 1450, 374, 276, 695, 25027, 9873, 282, 254, 13007, 274, 254, 4292, 6744, 16, 1469, 555, 248, 5186, 2960, 628, 495, 20, 14, 533, 311, 18813, 7332, 282, 254, 7638, 274, 695, 23229, 5127, 14, 403, 10628, 276, 254, 1057, 17348, 3003, 14, 286, 8934, 254, 2960, 4139, 276, 254, 4292, 6744, 286, 343, 254, 9932, 274, 254, 10088, 1450, 713, 248, 3292, 17005, 403, 276, 4458, 343, 729, 16, 3805, 8934, 2960, 4139, 286, 17005, 2960, 4139, 403, 5770, 39155, 16211, 276, 254, 13007, 274, 254, 17005, 7332, 282, 254, 8934, 2960, 2429, 311, 254, 6915, 8934, 719, 286, 254, 10088, 1450, 555, 248, 6915, 7588, 813, 311, 1143, 276, 254, 3841, 17348, 1844, 16, 323, 5003, 2960, 4139, 274, 615, 1903, 7435, 14, 343, 888, 12676, 11081, 1116, 14, 403, 4652, 407, 30102, 273, 282, 254, 7435, 274, 8322, 38183, 374, 23, 14, 374, 24, 16, 40420, 38183, 374, 23, 14, 374, 24, 403, 10749, 276, 254, 2069, 274, 254, 10088, 407, 254, 13364, 274, 254, 10088, 1450, 16, 46867, 254, 1450, 628, 274, 695, 2884, 14, 533, 276, 254, 33842, 1580, 311, 12687, 687, 254, 4873, 274, 254, 4292, 6744, 14, 10594, 276, 33609, 291, 616, 2069, 13007, 274, 254, 10088, 16, 188, 1516, 4069, 3290, 248, 2675, 21407, 16, 2640, 436, 3964, 14, 254, 3608, 6051 ]

[ 1, 16, 11008, 32054, 2840, 8230, 348, 248, 2860, 869, 763, 1789, 14, 7664, 286, 254, 1789, 596, 855, 1392, 16, 2514, 274, 254, 2349, 276, 254, 2860, 5827, 1495, 282, 1663, 282, 2482, 16, 1664, 403, 1789, 533, 403, 417, 7664, 14, 1789, 533, 403, 7664, 274, 642, 1789, 286, 4574, 626, 403, 1789, 327, 403, 1845, 7664, 16, 3683, 765, 348, 7664, 1826, 360, 961, 353, 390, 417, 14, 747, 3506, 7664, 16, 3683, 2489, 452, 282, 15820, 254, 1389, 319, 348, 311, 254, 1068, 274, 855, 18631, 16, 23298, 3997, 650, 4132, 436, 1470, 348, 248, 2743, 7501, 855, 14, 2674, 1033, 22474, 5708, 1999, 650, 2033, 533, 3758, 282, 946, 16, 6499, 650, 4226, 327, 626, 311, 248, 3189, 2063, 5514, 343, 254, 1921, 274, 254, 4725, 16, 12408, 5842, 3335, 17486, 650, 4521, 1125, 274, 254, 2906, 16, 1223, 368, 476, 1002, 15641, 327, 836, 403, 33503, 756, 13558, 286, 327, 626, 311, 248, 35649, 4516, 9884, 16, 10078, 368, 915, 843, 4214, 513, 360, 13417, 1004, 642, 33, 3730, 311, 1495, 2843, 282, 1141, 668, 14, 580, 274, 254, 2667, 2344, 973, 274, 2743, 28446, 311, 1037, 69, 4308, 262, 3, 1268, 327, 311, 628, 274, 248, 1015, 2835, 16, 188, 4412, 248, 4062, 314, 252, 783, 531, 17, 21712, 14, 8855, 11, 883, 1328, 1062, 9729, 282, 3437, 436, 2951, 314, 263, 434, 248, 1470, 668, 23847, 481, 4895, 368, 1782, 747, 16, 188, 15, 1161, 781, 14, 310, 1652, 254, 4062, 16, 9127, 3, 310, 1218, 353, 16, 443, 5579, 466, 13537, 16, 23847, 311, 3136, 2013, 14, 360, 403, 512, 12408, 841, 512, 16, 1260, 324, 254, 1515, 14, 310, 915, 368, 747, 11409, 16, 2003, 7526, 248, 2187, 282, 751, 1919, 432, 6153, 12506, 942, 16, 310, 2033, 9415, 16, 731, 434, 1157, 4221, 16, 9127, 324, 7535, 254, 2951, 16, 23173, 368, 248, 4062, 888, 16, 188, 510, 7664, 276, 23847, 403, 1623, 1015, 274, 2489, 1444, 254, 1499, 14, 624, 4829, 16, 188, 1212, 1845, 1354, 7758, 274, 7664, 14, 286, 436, 671, 360, 669, 1652, 248, 1247, 2426, 282, 563, 343, 353, 3, 0, 1130, 434, 1311, 248, 15074, 282, 8033, 248, 4042, 282, 785, 603, 368, 1441, 276, 624, 11206, 16582, 16, 188, 1931, 343, 254, 12660, 22539, 6707, 276, 642, 14, 1637, 15, 34797, 796, 16582, 14, 353, 434, 1726, 282, 865, 327, 254, 4653, 452, 669, 4251, 16, 188, 1212, 1797, 9795, 282, 688, 10291, 1242, 15, 8549, 286, 272, 2382, 15, 4889, 503, 273, 6311, 282, 4533, 561, 843, 282, 23404, 785, 20771, 2966, 16, 188, 8608, 8033, 8555, 274, 3812, 20771, 14, 747, 418, 336, 1617, 2098, 434, 25986, 24714, 18558, 14, 282, 785, 1849, 532, 1058, 11701, 461, 81, 749, 436, 9828, 625, 321, 254, 2546, 16, 188, 4, 8608, 40141, 9749, 670, 596, 563, 684, 16104, 776, 3148, 43891, 1058, 11701, 461, 81, 749, 14, 15140, 327, 512, 9749, 452, 248, 3964, 16, 188, 4, 1853, 343, 7928, 276, 2025, 14, 21194, 857, 602, 7583, 282, 8823, 624, 14701, 14, 8649, 407, 254, 1242, 15, 484, 13443, 4326, 16, 7530, 4919, 857, 602, 311, 668, 47618, 14, 45007, 327, 476, 321, 15880, 276, 286, 3238, 274, 254, 3780, 286, 432, 1362, 282, 2286, 16, 30757, 2093, 286, 2218, 264, 2912, 311, 272, 1726, 628, 274, 47618, 14, 13496, 368, 46678, 633, 785, 1183, 997, 324, 248, 2286, 2288, 4400, 928, 4418, 1961, 832, 434, 1450, 274, 25130, 2116, 14, 36496, 10386, 511, 14, 2117, 10243, 6808, 1310, 16, 188, 4, 7542, 387, 942, 747, 2323, 13913, 45772, 14, 27355, 6551, 14, 663, 403, 3853, 14, 684, 9981, 14, 310, 1328, 248, 6250, 3306, 14, 310, 1328, 6873, 14, 310, 1328, 5384, 14, 532, 310, 1328, 9150, 248, 6450, 15, 433, 330, 15, 1259, 7417, 14, 286, 327, 434, 618, 1575, 4042, 3239, 593, 1623, 40222, 748, 2701, 368, 4311, 286, 4501, 327, 742, 276, 254, 3780, 928, 13656, 466, 26465, 5746, 14, 7488, 9850, 274, 4539, 7410, 1191, 14, 2117, 10243, 6808, 1310, 16, 188, 4, 43, 1141, 353, 434, 1623, 248, 6477, 274, 2328, 2056, 1849, 603, 368, 1441, 19450, 9150, 248, 1623, 6450, 3189, 14, 254, 5127, 274, 543, 12206, 7417, 63, 311, 11206, 928, 3605, 1089, 2117, 10243, 6808, 1310, 16, 347, 34022, 2056, 603, 368, 403, 9150, 248, 10812, 1708, 14, 368, 1441, 669, 417, 9150, 248, 2094, 26815, 16, 1664, 434, 3563, 274, 248, 4868, 274, 1789, 282, 1041, 2056, 327, 368, 1441, 811, 417, 1438, 1480, 1181, 276, 665, 580, 3758, 449, 188, 8417, 16, 7445, 40, 283, 322, 434, 378, 31563, 14029, 2024, 3809, 695, 46790, 939, 248, 31167, 6453, 282, 1079, 366, 248, 347, 36, 31563, 3692, 4, 274, 785, 20771, 16, 5650, 378, 31563, 14029, 311, 3316, 343, 1694, 282, 2712, 45007, 274, 4740, 14, 5537, 785, 20771, 16, 188, 8417, 16, 7445, 40, 283, 322, 434, 2214, 4025, 248, 1926, 1869, 347, 57, 612, 282, 7530, 28, 330, 15946, 282, 16325, 5243, 23171, 36318, 928, 327, 14794, 286, 11413, 15031, 3779, 40, 283, 322, 2117, 10243, 6808, 1310, 347, 23526, 2918, 2185, 328, 843, 282, 47522, 248, 5379, 12147, 41806, 327, 587, 24324, 729, 387, 785, 449, 0, 35, 25148, 324, 272, 3783, 2591, 22521, 2497, 327, 7582, 9073, 282, 338, 22, 18, 5645, 16, 188, 19, 16, 1860, 13518, 248, 26335, 274, 1665, 35121, 14249, 390, 11501, 15433, 7629, 29, 35121, 18445, 16, 188, 67, 16, 1860, 3856, 8851, 286, 276, 248, 11501, 15433, 4980, 28, 33036, 273, 687, 3780, 32910, 16, 188, 68, 16, 1860, 13958, 10306, 8284, 3955, 29, 247, 3938, 16, 188, 21, 16, 1860, 11501, 925, 343, 10925, 38251, 390, 17826, 16, 188, 1934, 13518, 390, 1309, 343, 248, 33036, 28, 2422, 263, 3486, 248, 37845, 16, 188, 67, 16, 380, 1665, 35121, 14249, 3471, 1143, 407, 2110, 10964, 16, 188, 68, 16, 330, 2013, 3471, 14, 3233, 1665, 14, 11501, 15433, 6345, 390, 21873, 16, 188, 20, 16, 3309, 3420, 390, 17826, 29, 884, 11883, 16, 188, 21, 16, 314, 38598, 11, 282, 13958, 10306, 28, 616, 2079, 12879, 2422, 263, 3486, 3108, 615, 709, 659, 16, 188 ]

[ 1, 23142, 6903, 71, 130, 245, 9081, 543, 21060, 34712, 1342, 16333, 23783, 1655, 30359, 4295, 30359, 142, 242, 10182, 9813, 63, 314, 25, 4087, 338, 26, 25, 27, 1091, 848, 3793, 338, 27, 20, 26, 11, 369, 254, 2543, 3879, 274, 254, 6338, 32617, 753, 9659, 4543, 286, 248, 6338, 32617, 753, 17939, 286, 8185, 16, 188, 20083, 248, 3335, 14, 626, 311, 641, 5510, 16, 12077, 4326, 14, 626, 311, 641, 942, 286, 2468, 321, 272, 31069, 14, 272, 1193, 16170, 1350, 16, 188, 4369, 520, 16100, 8011, 551, 2011, 286, 31069, 14, 348, 14790, 407, 254, 6338, 32617, 753, 10872, 274, 13570, 22834, 28, 921, 218, 5007, 34712, 11331, 21626, 4049, 20402, 8576, 4008, 28, 20514, 34712, 1342, 16333, 23783, 16333, 4295, 30359, 142, 242, 10182, 9813, 314, 25, 4087, 374, 18, 18, 24, 481, 188, 1516, 3135, 369, 1364, 15722, 328, 374, 21, 4423, 374, 18, 19, 26, 14, 387, 374, 20, 28, 23, 21, 16, 0, 1176, 56, 39877, 497, 276, 13546, 1364, 8621, 387, 254, 27607, 17, 31419, 4764, 56, 9333, 6095, 85, 500, 1344, 410, 71, 15513, 13921, 16, 15397, 407, 24248, 610, 27873, 16, 188, 510, 1097, 23937, 432, 254, 6268, 7134, 274, 46822, 4424, 14, 769, 339, 368, 1916, 353, 1037, 9082, 587, 1663, 1397, 2003, 1360, 2828, 1972, 14, 974, 1125, 4764, 56, 39877, 11298, 254, 338, 19, 394, 24785, 500, 1344, 410, 71, 15513, 13921, 254, 17626, 17, 43107, 11849, 4764, 56, 9333, 4131, 328, 4028, 374, 24, 15, 20, 26, 16, 188, 510, 1382, 3297, 387, 254, 12814, 13274, 331, 708, 27729, 2104, 16, 1180, 1093, 30979, 14, 353, 650, 321, 2006, 6400, 6248, 274, 2995, 268, 26703, 7682, 11888, 266, 2341, 4762, 14, 328, 254, 8705, 1874, 274, 254, 3843, 16, 188, 510, 624, 683, 374, 18, 18, 4863, 19057, 687, 495, 18, 6400, 328, 963, 15, 29557, 17312, 26267, 16, 1795, 3975, 274, 855, 486, 2049, 254, 1026, 1143, 254, 7420, 2875, 282, 946, 16, 3805, 25922, 497, 6965, 597, 276, 2315, 274, 4175, 282, 338, 18, 869, 16319, 14, 368, 1582, 7212, 34046, 390, 21616, 26267, 16, 496, 948, 14, 254, 9817, 628, 369, 368, 4428, 457, 86, 8340, 626, 497, 327, 1125, 17741, 254, 2211, 387, 254, 1057, 671, 3, 380, 7420, 2263, 25922, 939, 1493, 9530, 33601, 14, 2391, 1097, 21675, 85, 286, 2424, 5398, 561, 23095, 43186, 29, 282, 42618, 6667, 274, 47140, 3065, 286, 2424, 7340, 9960, 14299, 16, 188, 4921, 20162, 4863, 497, 4647, 14, 2424, 14, 2718, 286, 4331, 15, 29746, 16, 1547, 17248, 276, 20534, 432, 4764, 19392, 14, 11225, 15340, 14, 37686, 640, 14, 286, 1002, 248, 7128, 278, 2437, 7308, 4096, 16, 188, 1931, 254, 942, 3400, 254, 10400, 497, 254, 1640, 628, 3, 188, 2432, 497, 8251, 15, 10424, 626, 16, 16441, 443, 15954, 14, 387, 890, 25, 14, 369, 254, 16693, 14286, 16, 1691, 668, 2094, 942, 33, 41567, 2784, 457, 4398, 497, 626, 3, 1268, 32094, 309, 1886, 387, 7261, 2524, 4315, 282, 3954, 254, 8690, 31217, 14, 348, 345, 369, 254, 24590, 282, 9297, 16, 3683, 2144, 432, 6528, 275, 14, 5175, 42441, 14, 432, 12420, 47103, 14, 20208, 14, 1652, 282, 6761, 688, 3184, 671, 561, 274, 254, 5252, 14, 286, 276, 254, 10481, 274, 2424, 5398, 2504, 16, 188, 9928, 10767, 17626, 286, 10892, 12810, 25922, 497, 276, 20615, 16, 1268, 14, 944, 811, 2144, 282, 452, 790, 286, 4126, 254, 7640, 13428, 286, 5230, 37331, 274, 436, 2104, 16, 1223, 1038, 457, 86, 465, 487, 925, 1037, 43, 1563, 571, 487, 925, 3239, 668, 28253, 14, 974, 626, 497, 9567, 274, 729, 626, 348, 963, 3, 188, 510, 17626, 17, 43107, 11849, 4764, 56, 9333, 3792, 311, 14450, 16551, 274, 20017, 358, 16, 750, 2287, 254, 5293, 555, 668, 338, 22, 18, 2672, 14, 3435, 432, 1694, 282, 2537, 1015, 2957, 16, 1260, 248, 5293, 14, 596, 452, 580, 4654, 286, 580, 9297, 590, 1722, 14, 286, 353, 457, 85, 3673, 328, 254, 2543, 7608, 16, 188, 1590, 1212, 457, 307, 14833, 643, 7028, 436, 9297, 1544, 4109, 1756, 749, 16551, 16, 2003, 2818, 25297, 4139, 819, 348, 15557, 432, 254, 12882, 47, 14, 16313, 17263, 23108, 14, 8773, 324, 2653, 2497, 14, 5379, 29828, 12605, 14, 13454, 324, 1096, 14, 9723, 286, 18597, 11775, 1037, 395, 254, 1581, 4424, 328, 16, 35018, 607, 18, 5293, 2672, 497, 328, 1116, 282, 12114, 254, 4445, 9297, 16, 188, 1725, 28304, 1321, 2575, 40359, 5205, 14, 254, 27607, 17, 31419, 4764, 56, 9333, 2156, 2893, 343, 1922, 1321, 2575, 10724, 276, 23887, 26267, 286, 27729, 11376, 2442, 28900, 16, 1547, 1002, 3419, 8690, 33880, 324, 944, 21934, 4904, 597, 432, 254, 7420, 328, 790, 1382, 1362, 16, 1268, 432, 14729, 254, 41833, 2211, 14, 310, 457, 70, 452, 282, 4143, 1826, 596, 1102, 665, 3, 188, 510, 27607, 17, 31419, 4764, 56, 9333, 311, 1845, 9734, 3, 1547, 2780, 10846, 4764, 56, 2218, 276, 272, 37818, 11146, 1026, 7526, 4962, 248, 4617, 3112, 276, 2367, 343, 254, 2142, 328, 3265, 8438, 13558, 286, 2218, 16, 1547, 452, 4168, 1837, 282, 1041, 11376, 21415, 387, 7694, 32604, 14, 12814, 13274, 1268, 442, 14, 12839, 19303, 586, 32604, 14, 3467, 1412, 15, 67, 15, 2324, 81, 286, 254, 26830, 7112, 16, 8486, 486, 311, 2066, 387, 836, 8369, 14, 343, 30923, 265, 3551, 286, 37292, 6990, 5740, 387, 2006, 16, 188, 510, 790, 1382, 457, 85, 2251, 369, 3061, 1640, 3948, 407, 254, 4863, 457, 30583, 14, 23755, 286, 3920, 275, 6302, 466, 16, 380, 17626, 17, 43107, 11849, 4764, 56, 9333, 4131, 353, 14, 286, 1125, 2144, 282, 4126, 286, 11129, 772, 47656, 2104, 16, 0, 24481, 27023, 14, 254, 9409, 14794, 286, 254, 1499, 434, 8560, 10282, 636, 14, 311, 282, 4615, 272, 10120, 551, 29521, 3519, 324, 347, 21259, 282, 4022, 15657, 3333, 188, 510, 16911, 327, 345, 4615, 254, 18692, 369, 1143, 407, 254, 33359, 14, 16929, 7042, 16, 18343, 16544, 20980, 311, 3159, 282, 10302, 353, 10590, 14, 670, 2234, 27023, 587, 3856, 387, 248, 7847, 328, 347, 25378, 6634, 25582, 4, 28048, 407, 2234, 7042, 16, 0, 10717, 263, 1889, 5150 ]

[ 1, 10193, 1318, 20329, 286, 1652, 254, 40875, 9912, 4840, 14, 1563, 14, 29461, 2244, 13508, 5949, 554, 282, 1115, 248, 1612, 16, 3826, 603, 310, 476, 811, 5416, 254, 21772, 42584, 2877, 14, 310, 457, 70, 321, 248, 5058, 3306, 16, 33113, 1297, 3306, 16, 188, 34, 59, 1781, 25290, 28, 839, 2692, 2102, 865, 254, 3541, 282, 327, 16, 8022, 1391, 2008, 624, 2479, 555, 4634, 713, 12561, 2479, 683, 713, 2471, 2960, 16, 731, 457, 85, 11231, 327, 1330, 8095, 2431, 650, 452, 272, 3373, 328, 8265, 1091, 596, 476, 321, 1649, 1996, 7332, 390, 19681, 282, 2257, 5289, 16, 188, 7470, 15108, 311, 1826, 1093, 8095, 2431, 1311, 785, 670, 254, 1773, 311, 15673, 254, 12561, 387, 8130, 7401, 16, 2666, 5316, 311, 327, 5745, 5485, 254, 8095, 2431, 403, 4731, 3971, 282, 2471, 12078, 751, 23889, 512, 282, 6898, 387, 719, 18, 18, 4407, 42, 16, 188, 19, 11, 513, 596, 27991, 17312, 387, 248, 2103, 2210, 14, 1081, 2226, 834, 254, 1040, 274, 254, 26621, 286, 6069, 282, 254, 2209, 274, 254, 12561, 33, 188, 20, 11, 476, 254, 12561, 321, 17933, 387, 248, 5118, 2042, 33, 15897, 15484, 403, 1311, 1497, 438, 599, 17933, 16, 188, 21, 11, 513, 254, 8095, 2431, 13102, 254, 6215, 274, 13129, 254, 6243, 33, 20798, 273, 311, 2501, 14, 286, 1081, 38452, 286, 9690, 16140, 403, 17912, 324, 2501, 16, 188, 2943, 587, 14301, 3393, 18568, 546, 1242, 8920, 27174, 6564, 33, 188, 1590, 3992, 8326, 407, 34619, 666, 650, 1041, 248, 1157, 6627, 1360, 8563, 16, 188, 510, 1026, 512, 274, 254, 1953, 14898, 7871, 713, 2674, 3834, 10107, 311, 4576, 16, 1223, 5230, 16, 188, 34, 31468, 28, 6107, 14, 327, 369, 748, 310, 8123, 16, 22761, 276, 254, 1364, 7315, 14, 254, 1773, 5757, 2602, 4313, 747, 248, 37489, 16, 10551, 1480, 11114, 282, 45095, 387, 436, 4813, 14, 532, 22794, 16, 188, 510, 3802, 286, 254, 15486, 403, 580, 274, 254, 4462, 14, 310, 10596, 436, 2586, 16, 188, 43, 369, 2304, 3089, 248, 15682, 13783, 956, 276, 1303, 15, 39, 25484, 39584, 16, 2514, 1362, 14, 254, 11336, 14, 248, 1330, 14, 27399, 5237, 3306, 14, 7233, 276, 286, 749, 14, 769, 1843, 2966, 14, 360, 587, 321, 12055, 254, 367, 1898, 1715, 608, 1795, 1326, 16, 5879, 33, 4772, 353, 311, 5230, 1397, 1469, 749, 353, 343, 248, 9358, 327, 4598, 637, 15, 2770, 8433, 665, 4678, 4020, 16, 1223, 835, 701, 2607, 441, 2075, 353, 311, 5230, 16, 188, 36, 2902, 16, 8229, 403, 254, 642, 1241, 7383, 11284, 14, 512, 2193, 4455, 2380, 33, 10944, 368, 16, 188, 4630, 7376, 6247, 2631, 23832, 327, 3629, 555, 417, 2102, 2428, 5743, 387, 16, 188, 1130, 311, 417, 3256, 327, 596, 314, 27697, 343, 14419, 11, 497, 11284, 432, 4851, 14, 532, 327, 596, 497, 4307, 407, 3686, 276, 4851, 276, 3956, 327, 5709, 615, 785, 16, 310, 747, 282, 1141, 327, 626, 497, 9256, 276, 254, 338, 27, 23, 18, 457, 85, 670, 512, 1241, 497, 276, 23753, 314, 2723, 310, 457, 307, 5108, 618, 6601, 1464, 11, 387, 254, 1057, 671, 16, 188, 43, 1606, 282, 6796, 327, 772, 3064, 324, 436, 6121, 311, 432, 1045, 14, 348, 963, 16, 188, 1516, 311, 248, 33385, 1519, 877, 286, 20824, 20313, 16, 6693, 324, 254, 12209, 3223, 16, 188, 1843, 14, 276, 436, 1068, 14, 22277, 1849, 360, 3477, 282, 751, 254, 14898, 282, 4212, 46902, 328, 254, 17214, 276, 254, 37489, 457, 85, 12561, 14, 533, 5827, 254, 607, 18, 15, 23, 18, 7871, 16, 2028, 360, 4212, 742, 15, 8984, 14, 626, 369, 248, 1733, 26387, 328, 580, 1874, 286, 248, 1330, 26387, 328, 254, 642, 16, 1260, 1034, 348, 254, 18804, 5757, 4212, 248, 17214, 14, 353, 4400, 3285, 763, 4707, 14898, 16, 188, 11271, 57, 1849, 5879, 254, 4617, 274, 254, 1241, 3762, 555, 763, 16584, 12519, 254, 36561, 3082, 274, 580, 311, 248, 1897, 324, 254, 4337, 314, 45, 363, 4753, 15159, 267, 515, 75, 14, 500, 1917, 24266, 14, 12828, 367, 981, 1625, 11, 1849, 618, 14625, 311, 254, 20313, 14, 417, 254, 6340, 17315, 3, 188, 8177, 368, 14, 5552, 368, 324, 21608, 16, 9175, 265, 888, 282, 915, 603, 368, 852, 16, 188, 43, 457, 307, 1218, 248, 1603, 4806, 407, 1004, 2410, 16, 188, 1253, 403, 254, 769, 9641, 457, 86, 2891, 666, 2893, 33, 0, 3146, 251, 87, 37372, 5438, 34965, 311, 248, 495, 18, 802, 1668, 314, 38, 9078, 28, 4257, 374, 25, 14, 338, 27, 26, 26, 11, 34256, 16, 750, 35806, 85, 248, 338, 22, 11807, 4, 16552, 14, 21150, 5556, 1208, 17508, 14, 286, 311, 248, 3442, 274, 254, 4910, 7352, 11523, 274, 44158, 10720, 85, 3371, 811, 742, 254, 6023, 36342, 6036, 5203, 1444, 254, 323, 12307, 22923, 16, 2936, 7383, 11327, 27754, 1926, 311, 11327, 27754, 286, 254, 14244, 315, 6519, 5646, 286, 520, 954, 0, 10949, 772, 3083, 16, 839, 452, 248, 1247, 3083, 1142, 282, 1336, 368, 4400, 1074, 254, 30114, 1318, 5202, 17823, 628, 368, 961, 14, 3256, 4750, 254, 628, 368, 872, 276, 254, 3083, 2453, 1788, 286, 4212, 4750, 14, 360, 587, 513, 254, 1515, 324, 368, 16, 188, 1866, 12654, 3, 1286, 368, 452, 9514, 268, 21895, 390, 10280, 328, 843, 282, 9084, 1074, 14, 18847, 74, 1386, 14, 8478, 390, 6384, 248, 30114, 1318, 5202, 14, 286, 961, 282, 3768, 353, 282, 1336, 2489, 561, 14, 835, 751, 276, 2960, 14, 360, 650, 2314, 633, 8164, 16, 188, 20426, 441, 16, 1286, 368, 476, 625, 1074, 254, 30114, 1318, 5202, 17823, 628, 390, 30114, 1318, 5202, 6915, 368, 403, 2731, 324, 14, 4356, 21685, 441, 390, 889, 772, 328, 15, 14003, 3051, 12584, 286, 360, 587, 321, 5058, 282, 1336, 16, 0, 510, 30118, 4818, 2208, 274, 254, 9574, 452, 3781, 1350, 274, 1416, 11019, 10587, 282, 254, 1708, 5060, 9737, 16, 380, 13416, 555, 248, 396, 9207, 10787, 6679, 1451, 327, 14841, 682, 3371, 282, 2683, 328, 2363, 286, 512, 3665, 3017, 16, 380, 8952, 452, 2257, 15, 42560, 28509, 35619, 10909, 956, 9692, 13128, 343, 4331, 15, 8018, 286 ]

[ 1, 756, 6343, 311, 603, 368, 403, 11416, 432, 254, 5427, 16, 188, 4816, 933, 411, 6871, 1545, 368, 282, 417, 452, 5516, 3540, 85, 33, 1395, 452, 665, 2520, 324, 327, 33, 188, 3992, 16, 1268, 353, 587, 321, 254, 7997, 17, 19071, 5516, 16, 5879, 933, 5427, 321, 3994, 12997, 683, 7997, 407, 411, 6871, 33, 188, 21886, 417, 2746, 282, 2033, 16, 2640, 254, 9933, 20197, 14166, 14, 254, 5427, 286, 254, 8513, 43, 452, 254, 6253, 274, 254, 1760, 858, 1506, 14166, 869, 254, 763, 274, 729, 16, 1286, 2996, 311, 4003, 282, 4750, 8513, 43, 14, 835, 327, 1408, 311, 669, 4003, 282, 4750, 5427, 16, 1223, 11685, 25724, 16, 2003, 457, 85, 2075, 626, 311, 641, 872, 282, 1423, 942, 457, 85, 11132, 869, 8513, 43, 286, 5427, 16, 7560, 3751, 327, 254, 977, 282, 4149, 282, 8513, 43, 286, 5427, 2427, 457, 86, 1862, 254, 977, 282, 7768, 4287, 626, 16, 188, 1253, 628, 274, 769, 301, 1799, 594, 666, 368, 513, 417, 2033, 33, 188, 4816, 650, 254, 411, 6871, 417, 1545, 368, 417, 282, 452, 3655, 5516, 5595, 33, 1395, 3073, 282, 321, 15973, 327, 1081, 254, 7997, 286, 254, 5427, 587, 321, 6548, 407, 10726, 282, 5129, 30247, 470, 7, 42483, 1903, 5294, 16, 188, 510, 374, 24, 587, 417, 961, 282, 321, 22231, 713, 254, 3979, 368, 2448, 1062, 963, 314, 2295, 15267, 1853, 481, 1678, 596, 596, 587, 513, 353, 16, 2470, 811, 959, 286, 790, 80, 1019, 500, 25983, 314, 1578, 254, 743, 5168, 11, 811, 16241, 327, 368, 476, 417, 1423, 633, 5516, 16, 188, 35, 2182, 28, 1268, 417, 3136, 2778, 38960, 37735, 12365, 28, 25147, 663, 476, 4181, 91, 4750, 8513, 43, 476, 6124, 4149, 1269, 12063, 390, 11920, 282, 39577, 16, 380, 17204, 311, 327, 368, 2468, 2743, 282, 5687, 14, 13563, 14, 259, 71, 14994, 1269, 4501, 1432, 9830, 16, 2003, 35513, 1563, 368, 587, 321, 14021, 432, 2430, 593, 532, 695, 417, 348, 3364, 348, 1558, 33031, 650, 747, 282, 1041, 561, 16, 188, 510, 1840, 327, 1558, 33031, 555, 311, 2565, 593, 1181, 327, 695, 2746, 282, 2033, 314, 19666, 353, 774, 321, 248, 10888, 324, 775, 581, 532, 2499, 327, 254, 6437, 286, 254, 4932, 403, 624, 2746, 324, 775, 282, 2903, 16, 188, 4412, 22137, 28, 380, 7997, 457, 85, 8778, 769, 2295, 2874, 666, 9809, 254, 7997, 587, 3377, 254, 8513, 43, 282, 28834, 248, 5516, 314, 4465, 587, 2654, 254, 443, 5219, 4205, 11, 276, 1316, 282, 1964, 4858, 254, 7997, 2703, 12618, 1091, 380, 5427, 1856, 457, 86, 28834, 665, 5516, 274, 2211, 16, 188, 40905, 286, 5294, 12775, 587, 321, 26857, 12368, 407, 254, 7997, 16, 188, 32229, 28, 1395, 476, 4750, 8513, 43, 1269, 248, 30077, 603, 368, 403, 22012, 432, 39577, 756, 16, 188, 21356, 642, 6336, 282, 665, 628, 274, 10726, 4279, 9830, 16, 188, 3676, 368, 4149, 432, 5687, 14, 13563, 14, 14994, 282, 39577, 835, 248, 5427, 14821, 314, 297, 693, 315, 8069, 11, 756, 3095, 5257, 16, 8454, 368, 4149, 432, 5687, 14, 13563, 14, 14994, 282, 254, 8513, 43, 835, 368, 872, 30077, 16, 496, 254, 1057, 1026, 603, 3655, 432, 10726, 23597, 282, 5427, 30443, 345, 1845, 3095, 1432, 9830, 1091, 533, 4250, 774, 390, 774, 417, 321, 248, 30077, 1091, 6837, 748, 45279, 345, 555, 16, 330, 23347, 22012, 2969, 8513, 43, 3095, 248, 30077, 286, 3061, 248, 24289, 282, 4750, 1081, 254, 8513, 43, 286, 254, 5427, 16, 188, 11273, 14324, 13724, 374, 16, 19, 380, 16788, 311, 1707, 328, 254, 7851, 274, 254, 16170, 13540, 274, 512, 695, 19923, 16, 188, 29398, 457, 85, 34898, 2035, 311, 276, 13396, 603, 1928, 14324, 13850, 16, 188, 2686, 2843, 1143, 272, 11283, 5794, 8777, 561, 10922, 14, 2857, 87, 16, 2936, 1390, 42936, 479, 532, 345, 852, 1110, 561, 327, 650, 1041, 388, 7504, 14, 254, 2410, 274, 331, 1475, 15, 20, 20, 14, 11129, 254, 32503, 16, 6499, 942, 403, 417, 2347, 282, 4565, 7923, 276, 1316, 282, 2743, 17753, 713, 254, 5427, 16, 1268, 254, 756, 1026, 282, 11801, 729, 311, 282, 2374, 615, 7923, 16, 7693, 368, 513, 327, 311, 254, 372, 31724, 1316, 16, 188, 686, 6569, 254, 5427, 4402, 254, 4543, 274, 10726, 513, 8826, 452, 254, 1575, 282, 3408, 368, 286, 4681, 368, 913, 7923, 14, 30077, 390, 4859, 16, 6123, 4203, 403, 9933, 5245, 33563, 14, 417, 2714, 47998, 4356, 43706, 27936, 4967, 33563, 747, 254, 7997, 20, 24, 16, 188, 1368, 933, 1623, 865, 436, 14, 479, 250, 6840, 588, 26826, 7606, 67, 16, 1395, 1703, 282, 321, 3686, 276, 5974, 533, 14, 7224, 432, 24460, 14, 311, 669, 248, 9933, 5245, 7371, 16, 0, 1253, 311, 272, 1991, 12006, 366, 11058, 324, 248, 8126, 282, 321, 15153, 8832, 1201, 530, 33, 188, 3912, 274, 254, 5793, 27341, 310, 573, 670, 310, 369, 248, 1956, 2796, 369, 670, 369, 353, 4426, 324, 618, 1401, 282, 321, 1628, 1683, 3690, 16, 21778, 14, 310, 3470, 625, 1438, 282, 3437, 618, 338, 18, 5977, 1668, 282, 3575, 520, 607, 5977, 1668, 4778, 14, 532, 807, 254, 338, 18, 5977, 1668, 321, 1628, 3690, 324, 495, 18, 28172, 390, 593, 1205, 310, 6165, 282, 254, 6956, 4513, 324, 8240, 706, 11309, 33, 188, 3852, 748, 603, 310, 369, 3400, 3447, 432, 785, 286, 254, 1643, 7053, 2102, 33, 188, 17660, 596, 321, 17751, 324, 338, 23, 15, 20, 18, 2819, 3690, 33, 188, 7979, 9809, 4448, 3136, 248, 2298, 1205, 310, 369, 248, 1956, 3002, 16, 2514, 274, 254, 8071, 497, 8113, 14, 593, 596, 4428, 625, 563, 282, 615, 2539, 42394, 14, 593, 310, 650, 452, 282, 1074, 2996, 282, 3191, 343, 729, 16, 1260, 248, 1956, 3002, 14, 310, 4428, 625, 1052, 742, 785, 1033, 671, 580, 274, 729, 497, 8113, 16, 731, 811, 3470, 625, 4204, 282, 618, 2545, 14, 4402, 650, 6536, 1052, 15, 13884, 321, 11875, 16, 310, 3477, 282, 15475, 1052, 742, 85, 324, 254, 2133, 586, 32286, 14, 3960, 9228, 14, 3838, 16, 39997, 14, 310, 573, 272, 12745, 2174, 390, 19998, 663, 650, 3575, 254, 8071 ]

[ 1, 6268, 286, 248, 5157, 23609, 668, 2075, 310, 2314, 3686, 276, 35204, 16, 188, 89, 9378, 1008, 2835, 286, 7758, 16, 9127, 324, 3089, 254, 671, 282, 3768, 3, 0, 1130, 311, 343, 1247, 30764, 327, 7184, 5795, 555, 2865, 254, 3547, 668, 418, 2872, 435, 354, 35013, 14, 254, 801, 7184, 5795, 3792, 14, 7922, 1919, 16, 2234, 16, 354, 35013, 369, 580, 274, 254, 22822, 23803, 274, 7184, 5795, 14, 286, 3989, 11923, 1081, 276, 520, 7716, 38324, 570, 286, 16714, 16, 750, 369, 3989, 12032, 11262, 407, 520, 7184, 5795, 11335, 16, 188, 46, 2872, 435, 354, 35013, 314, 1251, 11, 2292, 343, 520, 2251, 640, 348, 7184, 5795, 3792, 14, 7813, 5746, 1201, 431, 1412, 250, 14, 1011, 339, 24620, 339, 5356, 325, 14, 46403, 3883, 15692, 1625, 286, 32016, 361, 354, 613, 71, 387, 254, 7184, 5795, 4078, 13799, 374, 18, 18, 26, 16, 188, 3908, 5795, 4078, 9274, 2323, 2527, 18960, 70, 606, 250, 328, 10844, 274, 512, 7184, 5795, 2672, 17089, 520, 33339, 1633, 282, 418, 2872, 435, 354, 35013, 286, 22926, 2157, 254, 7184, 5795, 14794, 16, 2234, 16, 18960, 70, 606, 250, 29515, 520, 11719, 451, 6699, 312, 2885, 282, 2234, 16, 354, 35013, 457, 85, 1963, 16, 188, 7507, 16, 354, 35013, 369, 9676, 4264, 254, 16111, 274, 7184, 5795, 428, 345, 369, 248, 13388, 25863, 274, 14088, 286, 6995, 286, 348, 345, 7573, 6392, 276, 1303, 15, 22557, 565, 14, 345, 573, 248, 15154, 3520, 274, 254, 24690, 274, 6870, 698, 781, 36116, 16, 188, 510, 2863, 274, 2234, 16, 354, 35013, 14, 248, 1247, 636, 286, 248, 1247, 38324, 753, 14, 555, 669, 643, 4728, 407, 254, 3792, 274, 38324, 570, 14, 1860, 4770, 10802, 1595, 286, 407, 3326, 7184, 5795, 6765, 10533, 7813, 5746, 1201, 431, 1412, 250, 16, 188, 40, 3060, 38324, 753, 23309, 14, 45790, 3823, 382, 14, 41046, 14, 25995, 286, 17939, 16, 188, 29838, 276, 31632, 2872, 14, 38324, 570, 14, 3093, 16, 354, 35013, 20356, 432, 254, 309, 435, 87, 2341, 2421, 276, 338, 27, 24, 20, 343, 248, 4110, 276, 2025, 2803, 16, 750, 3444, 30185, 343, 1470, 22005, 2109, 387, 254, 6342, 324, 43985, 11392, 387, 254, 11112, 274, 13050, 274, 46776, 314, 19, 27, 24, 22, 15, 19, 27, 24, 24, 11, 286, 4347, 274, 9289, 14, 309, 435, 87, 2341, 2421, 314, 19, 27, 24, 24, 15, 19, 27, 24, 27, 11, 1063, 4574, 20379, 520, 22297, 276, 338, 27, 26, 23, 16, 188, 25318, 436, 1631, 354, 35013, 369, 272, 8213, 1065, 14, 286, 254, 801, 282, 4503, 254, 2983, 274, 9753, 3749, 1735, 670, 15250, 26309, 16947, 286, 2025, 43985, 7697, 286, 6068, 16, 2936, 13072, 5532, 1143, 775, 580, 274, 254, 4136, 8219, 274, 45790, 3823, 2109, 1525, 254, 16042, 2079, 274, 3194, 14118, 276, 254, 338, 27, 24, 18, 457, 85, 286, 338, 27, 25, 18, 457, 85, 16, 6236, 436, 671, 314, 44600, 338, 27, 24, 27, 15, 338, 27, 25, 21, 11, 345, 5444, 348, 248, 11552, 13245, 387, 309, 435, 87, 2341, 2421, 14, 1063, 1129, 11200, 324, 3165, 15, 11396, 382, 37727, 16, 14368, 345, 4168, 324, 3460, 1090, 348, 272, 16064, 274, 254, 30938, 324, 43985, 11392, 16, 2646, 436, 3989, 5384, 27168, 354, 35013, 369, 10295, 295, 14275, 14856, 276, 254, 10787, 1499, 286, 369, 14708, 282, 254, 1450, 274, 254, 17676, 324, 9289, 286, 13367, 14118, 314, 19, 27, 26, 21, 15, 19, 27, 27, 19, 481, 188, 21581, 5678, 328, 520, 1564, 276, 1330, 12053, 286, 21456, 14, 276, 338, 27, 27, 19, 354, 35013, 369, 248, 22822, 3442, 286, 801, 20605, 274, 254, 7184, 5795, 14, 348, 248, 3442, 274, 254, 38324, 753, 5594, 286, 38324, 753, 6284, 14, 338, 27, 27, 18, 15, 19, 27, 27, 20, 14, 276, 272, 3074, 282, 7374, 1392, 5661, 282, 2654, 1919, 432, 46776, 1423, 16, 750, 14266, 436, 1844, 1863, 338, 27, 27, 21, 14, 670, 345, 3285, 17258, 4078, 9274, 324, 11546, 2963, 14, 286, 3297, 248, 9711, 1034, 27168, 348, 9701, 274, 254, 7184, 5795, 2357, 15, 635, 1483, 7258, 276, 309, 435, 87, 14, 38324, 570, 16, 6236, 436, 671, 354, 35013, 369, 29751, 324, 7184, 5795, 276, 11546, 2963, 286, 9681, 282, 254, 815, 15, 635, 1483, 286, 7028, 274, 3284, 324, 687, 3460, 1090, 16, 1993, 3284, 2818, 380, 11910, 19231, 12304, 324, 11546, 2963, 327, 9458, 3265, 274, 4903, 286, 3452, 815, 15, 20312, 276, 248, 9670, 3514, 286, 254, 1213, 274, 372, 15, 47633, 5670, 15552, 1125, 2489, 16, 188, 1725, 45691, 14, 496, 254, 338, 27, 27, 18, 85, 354, 35013, 4168, 328, 254, 14471, 319, 274, 254, 21412, 274, 1910, 2450, 2530, 16947, 16, 3805, 338, 27, 27, 22, 345, 555, 643, 254, 11983, 274, 254, 11839, 324, 43985, 11392, 14, 387, 254, 2421, 274, 309, 435, 87, 16, 750, 1938, 5444, 348, 1450, 274, 254, 17676, 324, 43985, 11392, 314, 19, 27, 27, 19, 15, 19, 27, 27, 22, 481, 496, 338, 27, 27, 26, 345, 11528, 520, 785, 328, 1910, 2450, 1707, 16947, 286, 345, 369, 254, 9100, 1065, 286, 1450, 274, 254, 2479, 2133, 347, 22007, 2450, 2530, 16947, 276, 254, 2803, 274, 27488, 3333, 354, 35013, 369, 669, 272, 2410, 274, 3460, 4945, 286, 687, 580, 4150, 10787, 7570, 328, 254, 2186, 16, 188, 47, 35013, 4667, 1919, 6741, 14, 338, 22, 394, 4929, 841, 9694, 432, 248, 1034, 6503, 343, 2832, 16, 188, 46, 2872, 435, 354, 35013, 314, 250, 254, 3981, 11, 343, 17839, 2213, 418, 2813, 1285, 520, 4010, 282, 38324, 570, 276, 338, 27, 27, 19, 16, 0, 35, 8010, 597, 5348, 328, 1642, 29644, 14, 436, 311, 248, 3834, 8901, 324, 8350, 26074, 16, 188, 19, 16, 5564, 15, 21661, 633, 13810, 282, 338, 23, 18, 136, 238, 37, 1209, 495, 18, 18, 136, 238, 40, 1209, 3556, 1579, 374, 16, 188, 20, 16, 496, 248, 38691, 3217, 254, 8421, 32516, 14, 8392, 14, 10109, 286, 13688, 29054, 282, 248, 21471, 16, 3635, 951, 324, 607, 2819, 687, 248, 4502, 4112, 16, 188, 21, 16, 19423, 254, 3096, 432, 254, 4112, 16 ]

[ 1, 7758, 1422, 4304, 568, 1091, 836, 17052, 452, 353, 512, 16, 1732, 24800, 286, 331, 5486, 3207, 8277, 403, 9415, 17352, 869, 254, 10892, 628, 274, 3561, 3840, 286, 2963, 14, 1205, 323, 564, 6870, 47356, 311, 17352, 1689, 282, 22002, 24834, 286, 2734, 3605, 3840, 14, 4782, 836, 17052, 254, 6215, 274, 14989, 348, 248, 14311, 869, 2963, 286, 3840, 16, 188, 1853, 628, 274, 254, 13605, 11182, 14, 836, 17052, 3831, 248, 1062, 11146, 3026, 324, 5060, 9094, 16, 380, 34305, 1296, 5168, 403, 13481, 14, 254, 10203, 403, 1656, 14, 626, 403, 641, 1369, 12451, 328, 4163, 6326, 14, 286, 254, 17052, 5961, 4311, 5215, 324, 42928, 6000, 16, 330, 1518, 38756, 27950, 583, 327, 16090, 4243, 14, 9622, 286, 13605, 669, 2701, 254, 17052, 272, 7250, 4189, 324, 806, 24889, 19361, 16, 1260, 628, 274, 254, 11182, 274, 254, 15881, 14, 836, 17052, 476, 3831, 1002, 624, 2790, 1294, 5503, 324, 5060, 9094, 28, 3452, 7675, 14, 248, 3471, 4181, 975, 286, 15410, 343, 254, 11182, 457, 85, 4303, 515, 447, 512, 687, 254, 1499, 16, 188, 6690, 17052, 3831, 272, 5081, 274, 8856, 286, 403, 963, 3591, 1525, 944, 4903, 18903, 16, 37855, 512, 615, 40437, 2292, 14, 368, 587, 1074, 248, 963, 15, 33901, 22050, 1648, 248, 3506, 3555, 5980, 2176, 14, 8553, 8130, 286, 5909, 16972, 343, 2623, 10022, 432, 17, 927, 254, 24727, 2829, 348, 963, 348, 432, 17, 927, 3561, 14, 7956, 286, 3605, 3840, 286, 254, 5130, 6226, 16, 1664, 311, 669, 272, 5060, 13571, 343, 6939, 2257, 10022, 432, 17, 927, 254, 24727, 2829, 348, 963, 348, 282, 17, 3933, 3561, 14, 7956, 14, 3605, 3840, 286, 254, 5130, 6226, 16, 496, 1596, 282, 272, 6939, 3591, 4682, 3134, 8548, 14, 1683, 282, 1125, 274, 254, 1499, 457, 85, 4144, 4682, 9737, 14, 626, 311, 248, 1350, 15, 1153, 15, 779, 15, 435, 3886, 34112, 11019, 276, 1619, 343, 1017, 3759, 8349, 2218, 16, 380, 2072, 286, 37562, 11019, 311, 580, 274, 254, 944, 7077, 276, 254, 2829, 16, 1664, 403, 641, 2142, 12775, 328, 5475, 15, 14855, 9094, 286, 18357, 403, 14258, 16, 380, 18945, 6092, 4708, 403, 343, 254, 15881, 14, 254, 1928, 2016, 286, 9340, 343, 12408, 3840, 16, 826, 311, 11088, 276, 254, 5537, 3134, 286, 17511, 14, 1518, 38136, 25940, 2066, 11841, 343, 3520, 274, 254, 2371, 14, 5130, 286, 12408, 2371, 10762, 16, 1260, 836, 17052, 3831, 248, 5081, 274, 8856, 14, 254, 17052, 274, 254, 13605, 11182, 403, 254, 3834, 4189, 282, 4947, 633, 2072, 16, 188, 2976, 254, 1026, 2362, 254, 14436, 16836, 14, 254, 15881, 1091, 343, 695, 15931, 11019, 286, 20887, 14311, 324, 2963, 939, 254, 2176, 274, 21656, 351, 11429, 314, 18369, 457, 85, 6081, 11, 286, 25757, 17806, 3574, 531, 10877, 1091, 311, 254, 7250, 27884, 282, 1242, 15679, 633, 2072, 16, 380, 15881, 3277, 580, 274, 254, 944, 3989, 18596, 14, 11785, 286, 16713, 785, 34854, 276, 2963, 16, 12227, 282, 695, 18178, 1162, 274, 18819, 7935, 46840, 14, 254, 15881, 311, 248, 7688, 1619, 432, 533, 282, 1041, 633, 18357, 16, 2640, 13481, 2802, 9439, 324, 5475, 15, 14855, 4273, 14, 254, 15881, 555, 580, 274, 254, 944, 9220, 2802, 23091, 6743, 276, 254, 1499, 16, 5066, 14, 254, 13605, 3452, 286, 4682, 7742, 555, 643, 1062, 6301, 324, 7797, 16, 380, 2142, 274, 254, 15881, 40052, 1292, 266, 1091, 276, 15410, 343, 17877, 286, 13605, 3520, 4818, 2208, 1091, 328, 1499, 15, 2360, 2479, 286, 2363, 286, 4144, 254, 1026, 276, 15392, 286, 31261, 16, 0, 1516, 448, 281, 374, 7731, 328, 500, 7731, 5961, 368, 248, 1464, 4317, 633, 12308, 16, 18235, 456, 1689, 282, 607, 4043, 11287, 46574, 286, 977, 328, 254, 1643, 10282, 33693, 13424, 258, 792, 1091, 254, 10959, 14, 353, 476, 29187, 254, 14930, 274, 1002, 254, 944, 17395, 4149, 255, 16, 9942, 282, 254, 16527, 14, 14696, 14, 15224, 266, 286, 254, 6081, 39636, 11287, 14, 368, 587, 452, 248, 4688, 282, 10087, 526, 286, 4126, 254, 2687, 16, 8493, 6218, 343, 6151, 7381, 7346, 286, 37940, 368, 1856, 66, 86, 872, 282, 4319, 4325, 4806, 343, 368, 14, 3148, 311, 2102, 4694, 286, 5320, 324, 633, 12668, 16, 6123, 36025, 4589, 9446, 42447, 286, 2023, 2057, 10782, 282, 254, 12603, 16, 188, 57, 20841, 43776, 432, 21317, 274, 254, 45337, 3, 188, 28739, 410, 27398, 356, 34331, 781, 74, 286, 4126, 633, 3191, 276, 436, 495, 13714, 42977, 16, 0, 1212, 2314, 248, 1157, 2271, 648, 1045, 387, 399, 457, 9454, 463, 532, 748, 360, 452, 2486, 282, 5357, 311, 1594, 5577, 324, 254, 624, 25532, 636, 29, 248, 1972, 10711, 663, 4701, 282, 18754, 36826, 14, 21607, 286, 5957, 328, 248, 5157, 3596, 1269, 14348, 16, 2003, 671, 555, 7053, 286, 254, 2342, 276, 1897, 311, 1869, 2714, 40, 2625, 1944, 3086, 1476, 378, 8722, 15787, 43982, 4301, 276, 1427, 2728, 274, 2211, 16, 3545, 1276, 407, 6225, 478, 33753, 286, 11100, 14, 254, 2245, 311, 248, 35205, 274, 11638, 5034, 10786, 343, 254, 10334, 9526, 4683, 274, 1427, 2728, 16, 188, 510, 5100, 2150, 311, 3061, 254, 944, 26854, 343, 1116, 15, 82, 19756, 27411, 32794, 343, 7389, 31115, 5372, 282, 2706, 248, 4311, 14145, 2362, 254, 1683, 3444, 8026, 407, 254, 29840, 480, 9335, 476, 3292, 16, 330, 5711, 274, 40556, 21607, 1648, 7136, 9927, 286, 19453, 281, 5372, 669, 7526, 818, 1839, 282, 254, 790, 4595, 10473, 16, 380, 13317, 33, 3257, 15664, 254, 14911, 533, 259, 5832, 266, 1746, 1179, 11720, 16, 0, 30736, 1391, 26147, 756, 343, 7810, 9257, 16, 188, 5338, 457, 86, 7461, 16, 576, 41, 38937, 7810, 9257, 4163, 311, 5390, 15, 42952, 286, 1042, 417, 872, 248, 10969, 1360, 16, 188, 510, 944, 7077, 4163, 324, 23715, 254, 7142, 311, 1869, 576, 41, 38937, 16, 380, 3759, 274, 254, 26147, 5514, 343, 772, 1193, 11442, 14228, 2896, 2034, 327, 360, 476, 3858, 665, 4189, 1269, 254, 872, 324, 261, 13252, 16, 4925, 14, 360, 24689, 248, 16753, 3833, 11535, 282, 7810, 9257, 327, 31366, 11372, 432, 642, 8919, 327, 403, 25083, 328, 254, 1057, 1903, 15, 4018, 4155, 16, 2640 ]

[ 1, 3202, 2332, 274, 633, 5982, 3021, 282, 15907, 633, 11339, 687, 248, 2110, 2332, 274, 671, 6129, 14, 368, 587, 4615, 248, 1903, 5982, 2374, 282, 6409, 633, 743, 5982, 11141, 1593, 16, 188, 4412, 512, 14, 1544, 248, 1903, 5982, 3681, 311, 8611, 1903, 14, 512, 368, 452, 282, 2014, 311, 8864, 633, 17635, 2332, 274, 633, 1193, 2501, 282, 751, 633, 5982, 4861, 16, 595, 1781, 974, 248, 1903, 5982, 3782, 311, 2449, 276, 254, 801, 1619, 282, 1336, 24320, 276, 254, 7246, 274, 615, 5982, 21448, 434, 1350, 16, 14168, 593, 1125, 24320, 276, 1619, 14, 248, 2165, 975, 311, 2961, 282, 2023, 1903, 5982, 9357, 276, 1316, 324, 254, 37889, 282, 7304, 5982, 282, 254, 12820, 255, 3233, 1093, 663, 403, 417, 7413, 343, 353, 16, 0, 1212, 2507, 25670, 2109, 328, 9902, 14, 7131, 14, 10247, 3083, 390, 2485, 13415, 16, 188, 30928, 13415, 428, 695, 2072, 1530, 14, 5535, 14, 286, 7923, 274, 254, 5008, 13415, 14, 695, 2365, 3551, 274, 4954, 286, 2417, 16, 188, 1212, 1305, 8325, 276, 4611, 1631, 390, 5866, 18334, 867, 15, 484, 314, 10059, 348, 2072, 5535, 2207, 14, 33057, 1305, 14, 2133, 4184, 286, 6905, 481, 0, 1253, 311, 6075, 46, 314, 39569, 3439, 4201, 5389, 6006, 188, 17122, 324, 38181, 3439, 4201, 5389, 14, 6075, 46, 311, 248, 1581, 274, 27475, 314, 24982, 3778, 11, 327, 452, 643, 42126, 390, 25351, 286, 403, 641, 3248, 3469, 16, 1993, 25351, 27475, 933, 641, 3248, 321, 17751, 407, 4242, 4076, 16, 0, 2300, 254, 1026, 274, 5983, 618, 801, 45370, 4244, 621, 343, 14101, 14, 310, 2144, 2362, 343, 28472, 366, 71, 16, 3805, 310, 452, 248, 3981, 274, 12055, 25984, 15534, 314, 19831, 2357, 19600, 15534, 581, 353, 369, 3364, 282, 2033, 254, 5266, 274, 28472, 366, 71, 276, 695, 21640, 825, 5381, 276, 45370, 35659, 16, 1268, 14, 387, 2110, 1110, 14, 254, 1491, 17, 82, 25211, 5266, 274, 28472, 366, 71, 28928, 479, 16, 188, 927, 295, 15, 14666, 404, 688, 26432, 274, 28472, 366, 71, 343, 25984, 15534, 16, 188, 1982, 368, 997, 387, 254, 3135, 495, 276, 254, 2838, 3006, 620, 274, 13408, 286, 1097, 6419, 14, 25948, 258, 892, 354, 462, 7118, 14, 368, 1782, 915, 436, 5266, 311, 4414, 1057, 282, 748, 434, 5447, 348, 347, 2313, 4367, 3175, 1097, 325, 985, 370, 54, 10, 35, 11, 426, 4930, 1850, 62, 2647, 16, 35, 558, 393, 2647, 64, 55, 3697, 188, 82, 25211, 6905, 274, 347, 2313, 256, 69, 422, 3175, 3340, 1097, 325, 4, 188, 3431, 8108, 1065, 311, 417, 248, 27092, 4740, 10450, 348, 28472, 366, 71, 16, 826, 311, 756, 324, 519, 15, 36373, 2024, 1393, 10450, 16, 188, 1130, 807, 321, 1594, 747, 436, 28, 28472, 366, 71, 13953, 16, 188, 263, 1503, 321, 248, 8319, 519, 15, 36373, 10450, 938, 6553, 282, 2939, 8108, 1065, 14, 532, 353, 1503, 321, 27092, 4576, 16, 0, 510, 4337, 452, 5261, 254, 36927, 4609, 14, 254, 18157, 4609, 286, 254, 3373, 5164, 274, 254, 21460, 274, 254, 8167, 16935, 652, 249, 2548, 268, 40965, 5094, 6689, 4061, 407, 254, 4740, 1350, 20091, 1308, 286, 1102, 327, 254, 8425, 5164, 274, 254, 21460, 497, 10587, 282, 1093, 274, 254, 2530, 4995, 16, 2640, 1633, 282, 8319, 4504, 14, 353, 311, 2696, 327, 254, 271, 5579, 273, 1308, 343, 248, 271, 5579, 273, 8114, 311, 6742, 683, 254, 4740, 1350, 20091, 324, 20091, 274, 254, 5094, 6689, 16, 496, 436, 1240, 14, 254, 8167, 16935, 652, 249, 2548, 268, 40965, 5094, 3382, 786, 497, 29654, 343, 15316, 15, 4643, 271, 5579, 273, 14129, 960, 254, 1017, 4155, 9689, 11887, 6402, 16, 8995, 14129, 497, 14831, 40, 338, 23, 314, 23749, 15, 13816, 15, 14183, 15, 36, 975, 581, 14831, 40, 495, 18, 314, 23749, 15, 14183, 15, 36, 975, 11, 286, 14831, 40, 719, 18, 314, 23749, 15, 50, 975, 11, 276, 254, 9292, 274, 576, 18, 21892, 16, 5328, 14, 2456, 274, 20091, 671, 14, 2471, 42513, 274, 254, 9173, 282, 321, 29654, 14, 286, 20091, 10542, 328, 254, 36927, 4609, 274, 254, 21460, 497, 6763, 16, 11194, 1508, 2709, 403, 348, 3517, 28, 314, 19, 11, 2028, 254, 5094, 3382, 786, 497, 29654, 324, 374, 286, 338, 18, 2819, 343, 14831, 40, 338, 23, 286, 14831, 40, 719, 18, 14, 254, 21460, 497, 45874, 387, 254, 29654, 8014, 328, 254, 36927, 1056, 16, 2028, 254, 5094, 3382, 786, 497, 29654, 324, 495, 18, 2819, 14, 2228, 14, 254, 36927, 4609, 274, 254, 21460, 369, 4679, 4363, 282, 327, 274, 254, 2530, 4995, 16, 1585, 254, 642, 1116, 14, 670, 254, 5094, 3382, 786, 497, 29654, 324, 374, 14, 338, 18, 286, 495, 18, 2819, 343, 14831, 40, 495, 18, 14, 512, 274, 254, 21460, 497, 45874, 276, 254, 2530, 4995, 328, 254, 36927, 1056, 16, 314, 20, 11, 2028, 254, 2471, 42513, 369, 374, 16, 21, 21892, 14, 254, 36927, 4609, 274, 254, 21460, 29654, 343, 14831, 40, 338, 23, 369, 4679, 4363, 282, 327, 274, 254, 2530, 4995, 16, 2028, 254, 2471, 42513, 369, 338, 21, 16, 27, 21892, 14, 2228, 14, 512, 274, 254, 21460, 497, 36927, 15, 72, 964, 1487, 387, 254, 29654, 8014, 974, 1330, 23212, 1114, 497, 4307, 387, 254, 3925, 274, 254, 29654, 8014, 16, 314, 21, 11, 380, 36927, 4609, 274, 254, 21460, 29654, 276, 1690, 252, 369, 248, 1612, 2330, 683, 327, 274, 254, 21460, 29654, 276, 11796, 343, 14831, 40, 338, 23, 286, 14831, 40, 719, 18, 16, 1678, 14, 254, 4609, 274, 254, 21460, 29654, 276, 2257, 369, 5967, 15028, 974, 254, 38545, 274, 7113, 497, 4061, 276, 254, 3925, 274, 254, 21563, 8014, 16, 1585, 254, 642, 1116, 14, 670, 254, 21460, 497, 29654, 343, 14831, 40, 495, 18, 276, 2257, 14, 276, 1690, 252, 14, 286, 276, 11796, 14, 512, 274, 254, 21460, 497, 36927, 15, 72, 964, 1487, 276, 254, 2530, 4995, 16, 314, 22, 11, 496, 254, 1068, 274, 14831, 40, 338, 23, 4368, 7113, 14, 254, 1017, 3909, 8014, 274, 7113, 369, 4307, 387, 254, 3925, 274, 254, 26154, 271, 5579, 273, 4995, 286, 7113, 20, 49 ]

[ 1, 274, 7956, 38974, 9161, 14, 17281, 16, 0, 18124, 28, 310, 650, 321, 3542, 387, 248, 1926, 5293, 4654, 16, 310, 457, 79, 248, 10215, 15, 17364, 14, 8760, 10399, 314, 4158, 4256, 1923, 581, 247, 5282, 3065, 3306, 663, 19354, 387, 1683, 343, 616, 2086, 314, 14045, 1021, 16599, 481, 310, 4126, 41634, 278, 457, 3580, 8732, 373, 286, 6068, 1091, 310, 18203, 35500, 14, 1218, 4945, 286, 4025, 15610, 286, 2094, 6109, 1205, 22717, 248, 36164, 457, 85, 4110, 276, 24503, 16, 310, 8033, 21577, 13846, 432, 11979, 23056, 747, 44249, 286, 5065, 3867, 5258, 14693, 16, 40262, 747, 353, 369, 5326, 282, 321, 14, 2427, 457, 86, 353, 33, 188, 57, 28445, 16, 3845, 274, 512, 14, 310, 457, 79, 25544, 12725, 282, 254, 1110, 830, 1129, 1444, 2489, 6362, 958, 479, 747, 248, 4523, 274, 17330, 19397, 276, 633, 26821, 8372, 16, 31050, 14, 254, 1926, 5278, 311, 20990, 16, 310, 14, 747, 1125, 2489, 14, 997, 282, 6068, 324, 272, 8545, 432, 618, 17395, 1464, 16, 1678, 14, 310, 1038, 457, 86, 747, 282, 8545, 282, 254, 1057, 1619, 348, 642, 16435, 618, 2289, 16, 188, 43, 2468, 8545, 282, 248, 3525, 3539, 3595, 12660, 14, 387, 1824, 417, 324, 248, 1205, 16, 5879, 311, 353, 593, 4489, 836, 1842, 33, 1664, 497, 286, 403, 642, 16395, 16, 731, 369, 29556, 25311, 532, 310, 457, 79, 2102, 8644, 2151, 16, 310, 1038, 457, 86, 872, 642, 942, 457, 85, 30764, 8476, 479, 747, 248, 45145, 274, 19250, 16, 188, 43, 573, 2996, 3831, 479, 248, 1926, 3970, 14, 3853, 353, 369, 14, 769, 14259, 6707, 1397, 2955, 310, 254, 756, 580, 663, 2427, 457, 86, 961, 282, 1218, 1594, 327, 587, 1767, 618, 1464, 33, 310, 15875, 457, 86, 1652, 671, 324, 327, 286, 14, 1002, 603, 310, 852, 14, 310, 457, 79, 1480, 1035, 22105, 977, 1012, 314, 264, 4895, 11338, 481, 188, 5705, 626, 457, 85, 254, 642, 1408, 276, 618, 1464, 663, 5961, 3989, 12370, 2080, 16, 310, 1218, 580, 3970, 286, 1205, 353, 369, 1157, 14, 310, 15875, 457, 86, 276, 38381, 4243, 576, 18, 21, 10266, 16, 310, 457, 79, 417, 2876, 19495, 387, 248, 6649, 286, 2732, 282, 6062, 327, 4110, 593, 3437, 479, 3690, 343, 633, 1926, 759, 41312, 925, 16, 188, 2515, 14, 748, 457, 85, 1628, 33, 310, 1102, 353, 343, 4966, 30452, 25359, 286, 769, 1435, 457, 85, 14104, 410, 32797, 2640, 29452, 5047, 666, 390, 14, 348, 33255, 5674, 353, 14, 769, 35, 17156, 2640, 29452, 5047, 1397, 17051, 35837, 2486, 1512, 11003, 16, 3006, 1033, 2835, 555, 282, 321, 22223, 286, 13753, 16, 2936, 2094, 6109, 403, 1512, 11003, 14, 14938, 25105, 2486, 1015, 1091, 6397, 974, 274, 254, 1026, 345, 11098, 254, 1499, 14, 417, 5577, 748, 4448, 16, 1664, 457, 85, 641, 671, 4149, 14, 641, 16395, 14, 641, 2314, 6109, 14, 641, 39866, 9282, 16, 1664, 457, 85, 811, 254, 7854, 274, 14938, 1464, 3082, 274, 522, 29408, 2878, 68, 28531, 4558, 282, 321, 12601, 324, 254, 1887, 3481, 16, 188, 510, 2094, 2835, 4659, 311, 3233, 22453, 974, 748, 4448, 282, 436, 2520, 274, 14209, 33, 7693, 403, 254, 4597, 4716, 1514, 286, 34926, 13883, 7867, 266, 274, 4829, 1362, 6068, 14, 9010, 432, 4966, 30452, 25359, 33, 310, 14349, 315, 4316, 248, 6649, 11336, 21916, 273, 38949, 668, 254, 18199, 274, 2094, 6109, 16, 330, 2196, 5324, 276, 1116, 14, 248, 389, 30168, 6765, 286, 248, 2094, 17047, 1215, 14886, 432, 1464, 16, 188, 1368, 476, 452, 633, 2342, 43018, 274, 19715, 14, 633, 610, 472, 1207, 2380, 286, 1959, 285, 286, 3106, 16, 7709, 479, 2996, 310, 476, 14190, 282, 14, 417, 248, 1926, 5293, 4221, 668, 3525, 3539, 3595, 14, 22559, 286, 24960, 16, 1583, 6524, 16, 188, 45200, 655, 423, 19373, 14, 37372, 31230, 2252, 15597, 314, 339, 368, 1623, 1521, 282, 865, 14, 1602, 581, 311, 248, 4602, 8185, 286, 7907, 324, 254, 4282, 16, 1469, 28520, 8728, 1789, 286, 10399, 7462, 14, 4221, 286, 7290, 5415, 286, 6415, 14, 286, 3899, 16, 5328, 14, 19827, 311, 248, 27549, 5232, 286, 28520, 12236, 22992, 842, 14908, 286, 3089, 16306, 276, 254, 9067, 16, 9175, 616, 561, 328, 7672, 387, 27041, 2252, 18655, 26, 18, 16, 0, 2614, 16, 676, 344, 1404, 1992, 3667, 16, 13434, 16, 250, 1091, 10294, 344, 1404, 6640, 1948, 2162, 374, 18, 19, 27, 401, 4178, 40984, 10151, 543, 10784, 529, 41, 30698, 5389, 1534, 38009, 15214, 1180, 10294, 344, 1404, 6640, 1948, 2162, 374, 18, 19, 27, 15, 20, 18, 15214, 7001, 16, 188, 21504, 344, 1404, 9901, 457, 85, 6640, 40328, 512, 13044, 3371, 324, 254, 10294, 344, 1404, 6640, 1948, 2162, 374, 18, 19, 27, 15, 20, 18, 16, 380, 8940, 663, 5441, 10294, 344, 1404, 6640, 1948, 2162, 374, 18, 19, 27, 452, 282, 4667, 338, 18, 13, 20, 1156, 432, 665, 7281, 4310, 16, 1822, 254, 8940, 403, 4972, 282, 1218, 436, 3802, 324, 512, 4139, 668, 10294, 344, 1404, 6640, 529, 41, 1948, 2162, 374, 18, 19, 27, 16, 380, 8940, 452, 282, 4503, 3783, 324, 10294, 344, 1404, 6640, 20662, 1948, 2162, 374, 18, 19, 27, 15, 20, 18, 432, 3449, 4282, 274, 6649, 16, 10294, 344, 1404, 6640, 20662, 1948, 2162, 374, 18, 19, 27, 7659, 276, 2470, 374, 18, 19, 27, 16, 188, 21504, 344, 1404, 6640, 324, 9901, 14456, 38677, 14, 33571, 24782, 87, 369, 11115, 276, 338, 27, 22, 26, 16, 10294, 344, 1404, 6640, 3290, 30318, 314, 18058, 11, 13151, 276, 29909, 14, 27484, 1256, 14, 35478, 14, 9289, 14, 36328, 1466, 286, 4243, 26793, 2049, 343, 254, 276, 9374, 947, 1511, 8946, 14, 4645, 276, 254, 4987, 274, 254, 6693, 14782, 14, 18459, 294, 286, 254, 8707, 11092, 14782, 16, 380, 9711, 274, 338, 27, 24, 26, 1091, 338, 27, 25, 26, 2950, 254, 3017, 274, 254, 6640, 343, 254, 9932, 274, 19655, 14, 22018, 286, 17207, 387, 254, 529, 41, 1245, 14, 286, 248, 1162, 274, 1470, 15, 22005, 314, 10784, 11, 13151, 16, 188, 2976, 254, 8940, 663, 5441, 282, 7325, 10294, 344, 1404, 6640, 1948, 2162, 15214 ]

[ 1, 1546, 1063, 14, 286, 1093, 573, 1845, 4634, 687, 963, 343, 1303, 15, 307, 1226, 23807, 16, 310, 3477, 836, 5340, 69, 1546, 248, 1603, 1090, 3502, 670, 580, 274, 618, 3732, 1143, 729, 14, 286, 310, 7434, 729, 3, 188, 510, 1157, 28, 380, 5340, 69, 1546, 403, 403, 6611, 286, 13962, 91, 14, 286, 1002, 452, 12594, 15, 349, 11723, 16206, 276, 254, 5711, 16, 380, 5711, 311, 2875, 282, 1041, 14, 10292, 368, 282, 818, 756, 1773, 286, 4032, 16, 1395, 807, 1002, 818, 624, 13962, 16206, 603, 368, 2980, 282, 321, 1623, 23727, 7129, 3, 188, 510, 2978, 28, 15597, 16, 310, 1141, 310, 4936, 2674, 370, 24, 324, 436, 5711, 16, 2003, 3032, 248, 2298, 16165, 282, 479, 14, 6349, 348, 353, 10741, 756, 338, 20, 5340, 69, 1546, 16, 1678, 14, 327, 807, 321, 624, 254, 9084, 274, 30242, 34852, 683, 36307, 29036, 30835, 16, 188, 2148, 688, 1865, 14, 10510, 310, 1041, 5340, 69, 1546, 14, 596, 1845, 1606, 282, 5291, 4214, 16, 310, 6139, 618, 16053, 1364, 802, 670, 310, 573, 282, 4564, 1919, 374, 13003, 15240, 5340, 69, 1546, 327, 310, 1143, 324, 618, 3224, 457, 85, 29474, 3027, 16, 826, 671, 14, 310, 2263, 254, 3171, 1051, 374, 23, 7555, 286, 29289, 254, 33888, 324, 668, 607, 2819, 3248, 683, 748, 369, 6930, 328, 254, 10464, 16, 1547, 2144, 561, 3834, 1849, 884, 26036, 286, 811, 28927, 2151, 328, 1708, 3, 188, 43, 1143, 34667, 33438, 273, 3082, 274, 7921, 273, 561, 1495, 370, 23, 324, 248, 3692, 265, 33438, 273, 5711, 16, 1822, 327, 457, 85, 1623, 276, 1093, 3692, 210, 11415, 45704, 311, 346, 3592, 255, 457, 85, 8392, 286, 12983, 7831, 4125, 8563, 16, 14963, 359, 792, 210, 11415, 311, 1845, 884, 2005, 1297, 286, 624, 13372, 1008, 14, 387, 1824, 276, 618, 4596, 16, 1223, 5745, 368, 513, 14, 3191, 1919, 432, 254, 36307, 29036, 30835, 9782, 5907, 36404, 273, 41883, 16, 731, 555, 254, 14849, 274, 26154, 884, 2005, 14, 286, 254, 13372, 311, 18647, 16, 310, 369, 593, 8814, 324, 327, 1830, 14, 286, 310, 8459, 353, 348, 3402, 348, 353, 4212, 254, 28993, 16, 731, 369, 593, 2978, 327, 310, 12862, 254, 2560, 476, 1919, 16, 188, 22880, 387, 785, 7434, 836, 5340, 69, 1546, 14, 3233, 254, 210, 11415, 16, 1583, 580, 1002, 3155, 596, 497, 29537, 1863, 310, 2117, 729, 16, 188, 4571, 25825, 4757, 286, 2653, 34297, 14, 5711, 1863, 5514, 16, 188, 9056, 671, 368, 403, 276, 248, 23509, 286, 276, 872, 274, 272, 3364, 26578, 14, 1574, 36307, 29036, 45704, 3, 0, 37, 451, 262, 324, 7096, 41302, 1509, 570, 751, 513, 5092, 12296, 460, 3783, 261, 451, 262, 996, 4039, 5177, 275, 545, 1542, 4753, 22992, 11979, 2111, 33223, 3783, 31964, 513, 5092, 12296, 460, 448, 5093, 31722, 3783, 16, 1334, 1181, 1042, 34571, 250, 2042, 343, 6329, 11979, 2111, 33223, 3783, 3684, 6564, 4349, 10849, 2111, 33223, 3783, 40818, 1689, 1362, 6564, 4349, 11979, 2111, 33223, 607, 18, 7704, 3783, 16, 399, 9108, 12296, 460, 3783, 296, 92, 513, 5092, 12296, 460, 17130, 3783, 10982, 6949, 261, 451, 262, 3783, 4349, 11979, 2111, 33223, 3783, 13096, 11979, 2111, 33223, 3783, 18892, 16, 22189, 5186, 2111, 33223, 3783, 40818, 10849, 476, 7377, 261, 451, 262, 3783, 9377, 11979, 2111, 33223, 3783, 4413, 47793, 3783, 41302, 1509, 570, 16, 4906, 816, 5479, 90, 3783, 513, 5092, 12296, 460, 1097, 1343, 24396, 3783, 1316, 6949, 261, 451, 262, 3783, 3783, 513, 5092, 12296, 460, 1640, 21540, 261, 451, 262, 996, 4039, 328, 614, 5177, 275, 641, 40162, 301, 16, 22189, 390, 3434, 256, 3783, 276, 40818, 513, 5092, 12296, 460, 3783, 17130, 4349, 5186, 2111, 33223, 3783, 10849, 513, 5092, 12296, 460, 1434, 498, 366, 324, 7096, 3783, 16, 331, 451, 262, 338, 18, 5605, 324, 7096, 4349, 5186, 2111, 33223, 3783, 816, 5479, 90, 4349, 3783, 476, 2866, 42728, 261, 451, 262, 996, 4039, 641, 40162, 301, 1316, 261, 451, 262, 3783, 343, 6131, 9045, 16, 14920, 4039, 513, 261, 451, 262, 641, 40162, 301, 261, 451, 262, 996, 4039, 5177, 275, 641, 40162, 301, 261, 451, 262, 996, 4039, 641, 40162, 301, 3783, 513, 5092, 12296, 460, 22637, 11979, 2111, 33223, 3783, 652, 404, 16, 1334, 1181, 1042, 34571, 250, 2042, 1269, 6329, 4349, 11979, 2111, 33223, 3783, 343, 6131, 9045, 10982, 11979, 261, 451, 262, 3783, 4349, 816, 5479, 90, 3783, 10849, 16, 655, 2625, 17872, 607, 18, 18, 7704, 3783, 42728, 996, 4039, 513, 261, 451, 262, 641, 40162, 301, 10849, 261, 451, 262, 11979, 3783, 261, 451, 262, 324, 7096, 3783, 40818, 261, 451, 262, 996, 4039, 5533, 67, 545, 1542, 4753, 22992, 261, 451, 262, 324, 7096, 276, 441, 67, 16, 9445, 273, 513, 5092, 12296, 460, 3783, 11979, 2111, 33223, 3783, 13096, 13259, 816, 5479, 90, 3783, 4349, 11979, 2111, 33223, 3783, 441, 67, 843, 1181, 1042, 34571, 250, 2042, 387, 9982, 73, 10166, 16, 22189, 4413, 47793, 41302, 1509, 570, 830, 282, 4349, 4413, 47793, 3783, 276, 41302, 1509, 570, 4349, 816, 5479, 90, 11979, 3783, 261, 451, 262, 3783, 324, 7096, 11979, 2111, 33223, 3783, 17130, 16, 9445, 1491, 261, 451, 262, 3783, 261, 451, 262, 324, 7096, 260, 2872, 42470, 513, 5092, 12296, 460, 3783, 19072, 261, 451, 262, 286, 2111, 33223, 324, 7096, 5177, 275, 261, 451, 262, 3783, 10010, 6805, 843, 1181, 34571, 250, 933, 883, 1354, 324, 248, 22047, 4915, 16, 655, 2625, 17872, 3783, 465, 20748, 258, 10849, 261, 451, 262, 27157, 324, 7096, 816, 5479, 90, 4075, 3783, 16, 188, 13542, 273, 2111, 33223, 432, 476, 2866, 814, 301, 582, 69, 13974, 69, 42495, 261, 10652, 4349, 26053, 248, 476, 2866, 814, 301, 582, 69, 13974, 69, 8634, 31051, 261, 451, 262, 10849, 476, 7377, 31964, 16, 3162, 376, 526, 12851, 274, 814, 301, 582, 69, 13974, 69, 830, 282, 4349, 261, 451, 262, 276, 26513, 8905, 13451, 814, 301, 582, 69, 13974, 69, 9982, 20093, 814, 301, 582, 69, 13974, 69, 1706, 1542, 814, 301, 582, 69, 13974, 69, 814, 301, 582, 69, 13974, 69, 286, 29619, 1403, 12501, 607, 18, 18, 7704, 495, 22637, 16 ]

[ 1, 18, 19, 20, 581, 354, 20718, 784, 67, 314, 20, 18, 19, 25, 581, 21891, 268, 989, 314, 20, 18, 18, 27, 581, 1948, 359, 314, 20, 18, 18, 26, 11, 286, 4906, 2595, 89, 314, 19, 27, 27, 27, 481, 24075, 14, 19338, 1840, 7583, 282, 5527, 286, 28567, 254, 5704, 274, 25843, 27061, 16, 3688, 14, 436, 2838, 348, 30515, 282, 2848, 254, 2165, 3265, 2124, 25843, 27061, 276, 2349, 274, 19338, 286, 7131, 276, 4136, 416, 2031, 10663, 3551, 274, 34044, 16, 188, 1516, 2838, 555, 1652, 763, 16111, 28, 2025, 286, 2107, 16111, 14, 1081, 274, 729, 403, 4618, 10953, 758, 16, 188, 510, 4440, 7889, 274, 254, 2838, 311, 282, 8117, 254, 15500, 8112, 274, 254, 25843, 27061, 276, 7956, 416, 2031, 10663, 3551, 274, 34044, 14, 2049, 254, 378, 759, 22322, 87, 15, 4418, 5154, 15, 33735, 24612, 22071, 7420, 16, 188, 11228, 1392, 254, 3552, 4874, 878, 659, 282, 254, 4116, 274, 25843, 27061, 276, 4136, 34044, 16, 188, 1516, 745, 15, 4530, 4107, 254, 16221, 328, 254, 2479, 21519, 984, 7003, 276, 1631, 1565, 14, 1735, 286, 9357, 16, 731, 669, 8497, 282, 17533, 254, 4445, 2983, 17807, 324, 931, 4698, 248, 963, 348, 11055, 276, 5028, 10390, 343, 254, 17858, 4152, 5575, 274, 254, 378, 759, 22322, 87, 15, 3987, 5154, 15, 33735, 24612, 22071, 7420, 16, 188, 1516, 2838, 46020, 272, 4521, 796, 2479, 21519, 14, 533, 4927, 682, 328, 286, 7526, 282, 4521, 254, 5077, 274, 8821, 27061, 286, 295, 15, 11365, 274, 27061, 457, 6704, 16, 1180, 427, 1588, 256, 4548, 314, 20, 18, 18, 21, 28, 495, 20, 581, 4521, 796, 2479, 21519, 769, 7615, 14108, 4541, 1910, 3753, 939, 6754, 8227, 1397, 1260, 248, 2479, 21519, 14, 4521, 40677, 12709, 6437, 276, 5719, 282, 254, 21662, 274, 254, 16488, 758, 5672, 1205, 695, 47667, 1918, 21871, 669, 2263, 17346, 4541, 314, 4177, 303, 1348, 14, 374, 18, 19, 20, 581, 533, 10482, 1181, 343, 254, 3861, 43636, 2079, 274, 1815, 16, 3688, 14, 436, 21519, 3112, 282, 8987, 254, 8227, 274, 254, 2135, 25843, 27061, 328, 254, 1240, 7420, 16, 188, 1516, 2838, 6907, 15065, 328, 248, 17754, 2479, 2150, 286, 5535, 14, 7465, 276, 15, 16257, 12534, 14, 2165, 35665, 12534, 286, 7120, 16, 1993, 2983, 497, 6904, 276, 17695, 254, 2472, 274, 1004, 274, 254, 27061, 276, 1665, 274, 15410, 286, 19338, 276, 25843, 1444, 254, 4099, 22071, 4235, 16, 380, 732, 25002, 662, 266, 274, 254, 1240, 497, 7110, 939, 44214, 422, 10218, 1707, 328, 615, 8227, 14, 2634, 3520, 286, 1245, 274, 14625, 276, 5719, 282, 25843, 27061, 286, 615, 4116, 328, 254, 7420, 16, 188, 510, 276, 15, 16257, 12534, 497, 2828, 343, 254, 15141, 274, 4741, 5913, 14, 4741, 21895, 457, 12143, 387, 1922, 1245, 14, 3015, 15141, 286, 2958, 286, 1321, 2103, 4584, 9737, 16, 380, 276, 15, 16257, 12534, 669, 5937, 254, 8388, 9630, 14, 14654, 14, 286, 15141, 274, 254, 2416, 15, 9301, 20629, 16, 9763, 35665, 12534, 497, 1143, 343, 254, 6166, 276, 254, 8821, 5403, 1248, 286, 378, 459, 664, 274, 16678, 286, 11674, 1186, 276, 254, 3206, 19231, 2016, 274, 473, 409, 570, 286, 10310, 14324, 3206, 995, 3467, 18355, 3546, 620, 16, 380, 2194, 3778, 274, 276, 15, 16257, 12534, 497, 338, 20, 543, 26, 10515, 286, 576, 10471, 63, 1205, 254, 2165, 15, 36224, 1086, 12534, 497, 4674, 561, 343, 848, 9804, 14, 561, 274, 533, 626, 369, 756, 248, 1956, 2185, 16, 188, 686, 1596, 14, 1631, 7120, 497, 17807, 286, 900, 348, 248, 1308, 282, 37551, 4052, 931, 5563, 939, 276, 15, 16257, 12534, 286, 2165, 35665, 12534, 16, 496, 45901, 521, 3337, 343, 254, 3505, 931, 5085, 4420, 939, 17754, 1631, 1565, 5445, 14, 254, 2838, 669, 15065, 328, 254, 2207, 274, 5210, 6987, 286, 11494, 16, 380, 32540, 1735, 369, 254, 1964, 1308, 900, 282, 4319, 561, 254, 1735, 274, 254, 3505, 931, 16, 188, 510, 378, 759, 22322, 87, 1091, 4418, 5154, 428, 8976, 24612, 22071, 7420, 314, 2753, 338, 11, 10665, 254, 3506, 286, 8698, 30038, 276, 254, 9148, 3546, 620, 14, 9157, 25372, 14, 286, 3206, 4762, 16, 188, 510, 7420, 11209, 276, 254, 10378, 13303, 274, 473, 409, 570, 3206, 19231, 2341, 286, 10310, 14324, 14, 3206, 995, 286, 3467, 18355, 3206, 19231, 2341, 16, 3774, 9148, 12850, 462, 12111, 14, 9148, 17711, 4548, 403, 25843, 21122, 4235, 276, 473, 409, 570, 14, 411, 23105, 15, 7278, 293, 286, 8976, 24612, 5499, 282, 10310, 14324, 14, 3206, 995, 14, 286, 3467, 18355, 19231, 2341, 314, 53, 8281, 3072, 481, 1664, 403, 24096, 3506, 286, 8698, 25843, 30038, 276, 254, 763, 3746, 9670, 10378, 2957, 276, 254, 545, 12501, 786, 274, 254, 18433, 22071, 4235, 16, 188, 2432, 452, 643, 248, 1162, 274, 25843, 8660, 286, 27061, 276, 1004, 274, 254, 8821, 25843, 4235, 328, 254, 7420, 16, 1993, 2408, 20794, 14, 21556, 2431, 14, 46574, 14, 4741, 8919, 14, 4741, 21895, 286, 31272, 16, 188, 1725, 908, 1211, 14, 13918, 1635, 282, 27061, 6706, 2362, 31672, 16, 31800, 314, 19, 27, 26, 22, 11, 369, 254, 580, 663, 5447, 254, 4333, 274, 27061, 276, 4184, 286, 26012, 3514, 348, 665, 1999, 390, 1361, 663, 476, 2730, 254, 5715, 434, 2949, 390, 663, 311, 5709, 407, 254, 19224, 274, 254, 5833, 434, 16111, 16, 4925, 14, 1599, 7759, 252, 314, 19, 27, 27, 23, 11, 6914, 27061, 348, 14035, 533, 2411, 1996, 12481, 19987, 390, 44707, 7838, 282, 665, 513, 721, 274, 254, 5833, 533, 23758, 248, 2417, 282, 729, 276, 688, 390, 642, 1026, 16, 188, 30505, 819, 348, 5438, 45348, 1145, 16, 268, 314, 20, 18, 18, 20, 11, 37512, 615, 35402, 620, 274, 25843, 27061, 1626, 273, 615, 22197, 328, 254, 8815, 3516, 407, 1928, 14324, 3525, 11674, 1186, 16788, 314, 3908, 57, 6871, 11, 348, 25843, 27061, 16, 496, 615, 4596, 14, 27061, 276, 25843, 6216, 25843, 12101, 14, 1321, 8826, 14, 348, 963, 348, 254, 2243, 286, 3310, 16, 496, 1596, 14, 1564, 2315, 286, 4153, 286, 276, 1748, 1922, 8583, 286, 24174, 2315, 14, 669, 872, 1432, 8747, 348, 27061, 276, 615 ]

[ 1, 278, 2157, 16, 21862, 188, 2855, 278, 2157, 16, 13000, 188, 2855, 278, 2157, 16, 1554, 188, 2855, 278, 2157, 16, 6048, 188, 2855, 278, 2157, 16, 5619, 256, 22720, 188, 2855, 278, 2157, 16, 84, 2137, 188, 2855, 278, 2157, 16, 5619, 256, 38417, 188, 2855, 278, 2157, 16, 5619, 256, 318, 14013, 188, 2855, 278, 2157, 16, 5619, 10424, 16, 21356, 16, 38, 4732, 13512, 188, 2855, 278, 2157, 16, 5619, 10424, 16, 21356, 16, 5773, 188, 2855, 278, 2157, 16, 5619, 10424, 16, 21356, 16, 52, 6281, 2354, 188, 2855, 278, 2157, 16, 5619, 10424, 16, 21356, 16, 48, 20248, 188, 2855, 278, 2157, 16, 5619, 10424, 16, 21356, 16, 48, 20248, 21, 188, 2855, 278, 2157, 16, 5619, 10424, 16, 21356, 16, 48, 20248, 21, 23514, 534, 188, 2360, 906, 18831, 38430, 10, 70, 2157, 16, 21862, 16, 38, 4732, 5173, 2192, 477, 11916, 20690, 1659, 603, 272, 5764, 311, 417, 4376, 44438, 477, 1477, 188, 188, 2360, 40849, 30030, 10, 70, 2157, 16, 21862, 16, 38, 4732, 5173, 2192, 477, 11916, 510, 28405, 20248, 10828, 311, 11751, 44438, 477, 1477, 188, 188, 2360, 427, 20248, 21, 18467, 1273, 10, 70, 2157, 16, 21862, 16, 38, 4732, 5173, 2192, 477, 11916, 18467, 1273, 369, 5036, 276, 555, 739, 7109, 4314, 44438, 477, 1477, 188, 188, 5, 28405, 20248, 5764, 3778, 14, 2474, 282, 31621, 1298, 6093, 188, 5, 3817, 1333, 2614, 16, 8730, 16, 2000, 17, 27706, 932, 17, 70, 2157, 15, 1662, 15, 12896, 15, 39366, 17, 70, 2157, 15, 1662, 15, 12896, 15, 39366, 16, 7038, 188, 6281, 46181, 23, 426, 338, 1800, 29567, 188, 13066, 426, 374, 188, 38, 4433, 426, 495, 188, 6281, 1675, 9847, 19, 426, 607, 188, 5773, 1505, 20248, 21, 23097, 19, 426, 719, 188, 6281, 1675, 9847, 19, 48, 20248, 21, 23097, 19, 426, 813, 188, 6281, 1675, 9847, 20, 23, 24, 426, 848, 188, 6281, 1675, 9847, 23, 19, 20, 426, 338, 18, 188, 39, 2564, 10709, 1244, 426, 338, 20, 188, 35559, 53, 2026, 20, 23, 24, 23097, 20, 23, 24, 426, 338, 21, 188, 35559, 53, 2026, 21, 26, 22, 23097, 21, 26, 22, 426, 338, 22, 188, 9555, 43, 18009, 426, 374, 23, 20, 188, 3072, 3147, 11341, 4732, 426, 374, 23, 21, 188, 3072, 43097, 36794, 426, 374, 23, 22, 188, 188, 5, 28405, 13512, 11869, 188, 38, 4732, 13512, 65, 12545, 65, 31438, 426, 470, 188, 38, 4732, 13512, 65, 12545, 65, 60, 10854, 13512, 426, 374, 23, 24, 188, 38, 4732, 13512, 65, 12545, 65, 2282, 50, 426, 338, 1800, 44400, 5690, 1110, 188, 188, 5, 427, 20248, 21, 3482, 2474, 282, 31621, 1298, 6093, 28, 188, 5, 3817, 1333, 2614, 16, 8730, 16, 2000, 17, 27706, 932, 17, 70, 2157, 1662, 15, 80, 1662, 21, 15, 21369, 17, 70, 2157, 1662, 15, 80, 1662, 21, 15, 21369, 16, 7038, 188, 48, 20248, 21, 65, 1520, 41, 65, 23097, 19, 426, 338, 188, 48, 20248, 21, 65, 12545, 65, 31438, 426, 470, 188, 48, 20248, 21, 65, 12545, 65, 18361, 7117, 426, 338, 534, 188, 65, 39906, 65, 1578, 65, 1139, 426, 550, 477, 684, 6281, 46181, 23, 9, 1146, 23538, 46181, 23, 14, 7915, 684, 13066, 9, 1146, 22175, 14, 477, 684, 38, 4433, 9, 1146, 399, 4433, 14, 477, 684, 6281, 1675, 9847, 19, 9, 1146, 23538, 1675, 9847, 19, 14, 477, 684, 5773, 1505, 20248, 21, 23097, 19, 9, 1146, 20189, 1505, 20248, 21, 23097, 19, 14, 477, 684, 6281, 1675, 9847, 19, 48, 20248, 21, 23097, 19, 9, 1146, 23538, 1675, 9847, 19, 48, 20248, 21, 23097, 19, 14, 477, 684, 6281, 1675, 9847, 20, 23, 24, 9, 1146, 23538, 1675, 9847, 20, 23, 24, 14, 477, 684, 6281, 1675, 9847, 23, 19, 20, 9, 1146, 23538, 1675, 9847, 23, 19, 20, 14, 477, 684, 39, 2564, 10709, 1244, 9, 1146, 444, 2564, 10709, 1244, 14, 477, 684, 35559, 53, 2026, 20, 23, 24, 23097, 20, 23, 24, 9, 1146, 444, 3593, 53, 2026, 20, 23, 24, 23097, 20, 23, 24, 14, 477, 684, 35559, 53, 2026, 21, 26, 22, 23097, 21, 26, 22, 9, 1146, 444, 3593, 53, 2026, 21, 26, 22, 23097, 21, 26, 22, 14, 477, 684, 9555, 43, 18009, 9, 1146, 45917, 14, 477, 684, 3072, 3147, 11341, 4732, 9, 1146, 4509, 3147, 11341, 4732, 14, 477, 684, 3072, 43097, 36794, 9, 1146, 4509, 43097, 36794, 14, 477, 744, 188, 188, 5, 839, 3861, 254, 13364, 10327, 2024, 32625, 282, 5256, 327, 360, 188, 5, 2468, 1041, 665, 16049, 314, 71, 16, 73, 16, 47888, 14, 2541, 15, 395, 15, 22441, 6160, 11, 327, 188, 5, 650, 2759, 254, 10327, 417, 282, 321, 1972, 13364, 16, 188, 188, 65, 39906, 65, 1578, 65, 2788, 426, 10603, 8622, 10, 91, 14, 1246, 11, 324, 1246, 14, 341, 276, 791, 39906, 65, 1578, 65, 1139, 16, 2480, 15135, 1067, 3185, 188, 188, 1510, 5764, 65, 3933, 65, 1139, 10, 1139, 2192, 477, 11916, 15136, 2426, 713, 248, 28405, 20248, 5764, 1294, 477, 1196, 84, 875, 28, 539, 31311, 1465, 1294, 426, 791, 39906, 65, 1578, 65, 1139, 16, 784, 10, 1139, 16, 22970, 6472, 477, 603, 1294, 311, 8037, 28, 647, 1294, 426, 539, 10, 1139, 11, 477, 1076, 1294, 188, 188, 1510, 5764, 65, 927, 65, 1139, 10, 2788, 2192, 477, 11916, 15136, 248, 28405, 20248, 5764, 1294, 282, 2426, 477, 1196, 84, 875, 28, 2787, 31311, 1465, 2426, 426, 791, 39906, 65, 1578, 65, 2788, 16, 784, 10, 2788, 11, 477, 603, 2426, 311, 8037, 28, 647, 2426, 426, 1195, 10, 2788, 11, 477, 1076, 2426, 188, 188, 1510, 791, 927, 65, 84, 2137, 10, 14927, 14, 6336, 2192, 477, 257, 426, 261, 2689, 6353, 16, 2689, 6353, 1067, 477, 1868, 16, 927, 65, 21619, 10, 85, 14, 6336, 31, 26485, 11, 477, 1076, 257, 16, 784, 2788, 1067, 188, 188, 1510, 2165, 65, 302, 10, 2290, 14, 6336, 31, 11033, 2192, 477, 391, 2137, 426, 791, 927, 65, 84, 2137, 10, 2290, 14, 6336, 11, 477, 2194, 426, 470, 477, 324, 883, 276, 2413, 10, 4874, 10, 84, 2137, 11, 1355, 374, 2192, 647, 2194 ]

[ 1, 647, 1076, 46268, 25178, 804, 751, 65, 10255, 10, 1262, 14, 863, 249, 1314, 2192, 647, 5337, 426, 25509, 6726, 3226, 90, 3839, 65, 4519, 65, 251, 16, 8757, 10, 3935, 249, 1314, 11, 647, 603, 5337, 28, 926, 1032, 1554, 426, 5337, 16, 4259, 10, 19, 11, 926, 1032, 15713, 426, 539, 10, 6785, 16, 4259, 10, 20, 1210, 428, 338, 926, 26153, 426, 470, 926, 324, 1032, 276, 1827, 3226, 13487, 28, 1003, 603, 45442, 10, 294, 14, 25509, 6726, 11, 286, 1032, 3226, 1554, 2224, 1032, 1554, 28, 2498, 603, 1032, 15713, 2224, 26153, 28, 3986, 1076, 1032, 2498, 1952, 28, 3986, 26153, 6892, 338, 926, 6975, 14379, 5295, 4608, 21539, 85, 417, 31693, 276, 2384, 84, 449, 2384, 314, 294, 1554, 14, 1827, 1210, 647, 1952, 28, 926, 324, 1401, 276, 1827, 3226, 13487, 28, 1003, 603, 1401, 16, 8757, 3839, 10, 3935, 249, 1314, 2192, 2498, 1076, 1401, 647, 6975, 14379, 5295, 4608, 21539, 85, 417, 1102, 276, 2384, 84, 449, 2384, 314, 3935, 249, 1314, 14, 1827, 1210, 1465, 804, 3483, 10, 1262, 14, 1032, 2360, 2192, 647, 11916, 15525, 27821, 327, 9773, 682, 687, 1581, 274, 3483, 10752, 1032, 2360, 31311, 647, 1076, 16007, 22076, 10, 1262, 14, 1032, 2360, 11, 1465, 804, 751, 455, 10, 1262, 14, 1032, 2360, 14, 6682, 31, 3958, 564, 14, 4672, 31, 11033, 2192, 647, 603, 4672, 311, 8037, 28, 926, 4698, 426, 7954, 647, 1952, 28, 926, 4698, 426, 4672, 1800, 933, 321, 248, 1581, 647, 324, 1032, 276, 1827, 3226, 13487, 28, 926, 603, 45442, 10, 294, 14, 1032, 2360, 2192, 1003, 4698, 16, 9436, 10, 294, 11, 926, 603, 6682, 2170, 470, 28, 1003, 1032, 16, 784, 455, 10, 294, 2360, 14, 6682, 15, 19, 14, 4698, 11, 647, 1076, 4698, 1465, 804, 1074, 10, 1262, 14, 1032, 2360, 14, 1375, 1559, 723, 85, 2192, 647, 324, 10644, 276, 1827, 3226, 13487, 28, 926, 603, 45442, 10, 9097, 14, 1032, 2360, 2192, 1003, 603, 1827, 3226, 1559, 723, 85, 65, 8757, 10, 9097, 14, 857, 723, 85, 2192, 2498, 1076, 10644, 647, 1076, 8037, 1465, 804, 791, 1559, 723, 85, 65, 8757, 10, 1262, 14, 10644, 14, 857, 723, 7888, 2192, 647, 324, 247, 1554, 14, 247, 1190, 276, 857, 723, 7888, 16, 15135, 14439, 926, 1574, 28, 1003, 603, 751, 9321, 10, 9097, 14, 247, 1554, 11, 3493, 247, 1190, 28, 2498, 1076, 470, 926, 3584, 40444, 4608, 28, 1003, 1076, 470, 647, 1076, 338, 1465, 804, 751, 65, 1139, 10, 1262, 2192, 647, 603, 417, 1827, 16, 32800, 3376, 17612, 46, 390, 1827, 16, 32800, 3376, 17612, 46, 16, 262, 65, 10719, 14439, 926, 1076, 347, 347, 647, 1952, 28, 926, 7430, 426, 1827, 16, 784, 455, 10, 4173, 14, 2694, 564, 11, 926, 1076, 347, 3333, 13575, 10, 4113, 10, 2190, 257, 28, 257, 16, 784, 65, 1139, 5550, 7430, 1210, 1465, 1800, 1558, 5295, 15, 2927, 3357, 477, 804, 4245, 10, 1262, 2192, 647, 1076, 1827, 16, 784, 455, 10, 18621, 14, 2694, 564, 11, 1465, 804, 2426, 10, 1262, 2192, 647, 1076, 1827, 16, 784, 455, 10, 4173, 14, 2694, 564, 11, 1465, 804, 5009, 65, 48094, 10, 1262, 2192, 647, 1076, 1827, 16, 784, 455, 10, 46605, 10272, 2619, 14, 2694, 564, 11, 1465, 804, 4522, 10, 1262, 2192, 647, 1076, 1827, 16, 784, 455, 10, 6863, 6726, 14, 2694, 564, 11, 534, 188, 2360, 16007, 22076, 10, 5912, 2192, 477, 804, 4623, 4338, 21257, 1262, 14, 4522, 14, 1032, 2360, 2192, 647, 1827, 16, 6048, 426, 4522, 647, 1827, 16, 294, 2360, 426, 1032, 2360, 647, 1827, 16, 75, 426, 470, 1465, 804, 4623, 2480, 21257, 1262, 2192, 647, 1076, 1827, 1465, 804, 1689, 10, 1262, 2192, 647, 1205, 338, 28, 926, 1574, 28, 1003, 296, 426, 1827, 16, 6048, 61, 1262, 16, 75, 63, 926, 3584, 12834, 4608, 28, 1003, 6975, 20668, 15194, 319, 926, 1827, 16, 75, 6892, 338, 926, 603, 45442, 10, 80, 14, 1032, 2360, 2192, 1003, 2654, 647, 1076, 296, 534, 188, 1510, 1074, 65, 25563, 10, 6048, 14, 1032, 2360, 2192, 477, 603, 45442, 10, 6048, 14, 1032, 2360, 2192, 647, 4766, 4522, 477, 324, 1401, 276, 4522, 16, 784, 65, 13487, 14439, 647, 324, 261, 80, 276, 1074, 65, 25563, 10, 6816, 14, 1032, 2360, 2192, 926, 4766, 261, 80, 477, 1076, 534, 188, 2360, 1825, 357, 932, 10, 6863, 6726, 2192, 477, 11916, 4460, 357, 932, 311, 248, 2628, 16576, 956, 282, 2120, 684, 4077, 582, 9, 42478, 13863, 16, 477, 2003, 311, 14, 9625, 274, 42478, 327, 1038, 625, 452, 248, 1794, 8553, 314, 71, 16, 73, 16, 417, 276, 477, 5076, 3179, 481, 210, 731, 311, 20015, 44438, 477, 804, 4623, 1320, 21257, 1262, 2192, 647, 1076, 1827, 16, 25087, 10, 1262, 3226, 26726, 11, 1465, 804, 21877, 10, 1262, 14, 9451, 2192, 647, 257, 426, 7954, 647, 3588, 10, 85, 16, 9436, 14, 3588, 10, 2190, 259, 28, 259, 16, 25087, 10, 26726, 581, 1827, 3226, 13487, 1210, 647, 1076, 347, 3333, 13575, 10, 85, 11, 1465, 804, 24689, 10, 1262, 14, 7744, 14, 9451, 31, 11033, 2192, 647, 3588, 10, 2190, 259, 28, 259, 16, 34650, 10, 4637, 14, 9451, 581, 1827, 3226, 13487, 11, 1465, 804, 3637, 3839, 10, 1262, 14, 863, 249, 1314, 2192, 647, 1076, 16247, 2670, 188, 2360, 3006, 319, 10, 5912, 2192, 477, 804, 4623, 4338, 21257, 1262, 14, 1390, 14, 13021, 302, 14, 11555, 302, 2192, 647, 1827, 16, 1554, 426, 1390, 647, 1827, 16, 4247, 426, 13021, 302, 647, 1827, 16, 10124, 426, 11555, 302, 1465, 804, 4623, 1320, 21257, 1262, 2192, 647, 603, 1827, 16, 10124, 28, 926, 1076, 16795, 85, 2384, 85, 4, 2384, 314, 1262, 16, 4247, 14, 1827, 16, 10124, 11, 647, 1952, 28, 926, 1076, 1827, 16, 4247, 1465, 804, 4623, 251, 1072, 21257, 1262, 2192, 647, 502, 426, 1827, 24051, 2360, 870, 647, 1076, 16795, 85, 47812, 85, 23925, 84, 14, 2384, 84, 14, 2384, 84, 6662, 2384, 314, 498, 24051, 8414, 29646, 502, 24051, 1554, 29646, 2498, 1827, 16, 1554, 14, 1827, 16, 4247, 14, 1827, 16, 10124, 11, 534, 188, 2360, 33432, 16508 ]

[ 1, 2317, 368, 476, 889, 14, 286, 688, 642, 22550, 272, 6329, 3526, 5407, 476, 1305, 368, 343, 16, 1286, 368, 961, 248, 3894, 29748, 4533, 4400, 14, 751, 633, 16151, 286, 29176, 353, 407, 4175, 16, 826, 587, 1862, 368, 272, 6465, 274, 843, 2917, 1464, 6329, 3526, 368, 872, 16, 188, 12622, 417, 1359, 328, 254, 5157, 1464, 6329, 6844, 5532, 11834, 407, 633, 10875, 16, 380, 5885, 5740, 407, 254, 2214, 1988, 5157, 1464, 6329, 3526, 5495, 327, 7223, 4273, 811, 1354, 561, 1503, 417, 10242, 512, 633, 14486, 6329, 5925, 16, 5066, 14, 603, 368, 3408, 633, 4686, 14, 368, 5271, 403, 7390, 282, 1354, 633, 14486, 6329, 3526, 2035, 343, 368, 16, 188, 12963, 12864, 282, 751, 7702, 328, 5634, 2237, 274, 9347, 16, 11763, 6329, 7617, 15806, 3831, 13104, 387, 10827, 13420, 274, 5885, 327, 807, 5288, 597, 23504, 368, 7852, 16, 3646, 974, 368, 452, 1143, 254, 2964, 327, 580, 4150, 27124, 2537, 14, 18, 18, 18, 311, 512, 254, 5885, 368, 961, 14, 1042, 417, 5070, 368, 9828, 625, 751, 14790, 328, 642, 2237, 811, 276, 25842, 16, 188, 9437, 15793, 4325, 1464, 6329, 6844, 324, 11375, 2672, 282, 5166, 248, 2187, 624, 7852, 16, 1664, 403, 4273, 533, 4681, 248, 6207, 1962, 324, 248, 2103, 5885, 2035, 16, 826, 587, 5166, 368, 9604, 8688, 348, 6111, 348, 27141, 368, 248, 3564, 6844, 324, 633, 22060, 1400, 4254, 16, 188, 10013, 561, 248, 7363, 282, 5256, 327, 368, 751, 2151, 1464, 6329, 7617, 5885, 16, 731, 476, 321, 20990, 282, 1852, 282, 9906, 254, 2107, 10393, 274, 6329, 368, 872, 16, 24075, 14, 353, 434, 1438, 282, 9806, 368, 1920, 1919, 432, 18847, 1938, 328, 603, 368, 513, 436, 3196, 16, 3646, 1354, 713, 2320, 2546, 4665, 836, 9104, 274, 348, 15402, 9852, 10480, 390, 16489, 14, 286, 11519, 10480, 16, 1395, 933, 669, 2120, 276, 2482, 327, 626, 807, 321, 1034, 1283, 33027, 436, 3563, 274, 348, 2103, 4584, 33796, 286, 14655, 327, 961, 282, 321, 19594, 324, 16, 188, 12510, 5585, 274, 254, 21047, 2863, 274, 1464, 5585, 4188, 603, 353, 7573, 311, 3443, 407, 633, 6329, 7617, 5833, 16, 826, 1464, 6329, 5585, 4343, 254, 3526, 11071, 282, 751, 248, 1921, 494, 2332, 274, 254, 2393, 6179, 274, 254, 6844, 14, 276, 254, 9809, 274, 248, 8130, 42485, 420, 16, 826, 476, 9404, 254, 18859, 282, 889, 436, 5485, 282, 2408, 3265, 836, 9104, 274, 348, 11405, 4665, 14, 5497, 1914, 4466, 14, 248, 17608, 14, 1683, 6981, 932, 390, 15487, 5655, 16, 188, 1630, 11043, 6329, 311, 272, 5224, 327, 1339, 321, 328, 633, 347, 927, 15820, 4, 1581, 16, 1395, 587, 7573, 1872, 1181, 1755, 26103, 368, 403, 20802, 633, 1963, 16, 0, 33735, 4211, 40516, 3653, 457, 85, 2964, 282, 3437, 254, 7580, 27681, 13908, 807, 1394, 282, 36923, 7742, 1767, 14, 1577, 7365, 713, 248, 289, 832, 1288, 8631, 747, 34847, 16, 188, 510, 32724, 3978, 281, 382, 11837, 8976, 4211, 555, 13925, 327, 3653, 457, 85, 2964, 282, 3660, 1924, 561, 274, 254, 7580, 27681, 13908, 807, 1394, 282, 36923, 7742, 1767, 14, 286, 1577, 7365, 713, 248, 289, 832, 1288, 8631, 747, 34847, 16, 9598, 1722, 14, 3653, 5968, 327, 254, 1924, 650, 321, 47674, 432, 254, 7580, 27681, 13908, 14, 533, 4679, 374, 18, 18, 12053, 452, 5656, 282, 3694, 4022, 17860, 286, 16942, 407, 8270, 6143, 14429, 16, 750, 749, 254, 45553, 457, 85, 7057, 807, 1649, 769, 779, 1924, 6795, 387, 13467, 1397, 1268, 8976, 4211, 555, 13925, 327, 3653, 457, 85, 2964, 807, 452, 1167, 8863, 16, 188, 686, 272, 4429, 343, 254, 15071, 6145, 14, 8976, 4211, 749, 769, 1212, 403, 2722, 282, 254, 247, 7984, 1110, 830, 4022, 17860, 4765, 36923, 16, 3653, 457, 85, 2181, 807, 7254, 254, 7365, 687, 254, 1284, 746, 14, 282, 2411, 747, 34847, 14, 343, 248, 3171, 274, 763, 4150, 286, 13347, 7555, 14, 286, 1200, 1657, 32004, 42354, 3412, 16, 27681, 1767, 311, 580, 274, 254, 1247, 25064, 360, 2377, 14, 286, 353, 457, 85, 580, 360, 476, 3536, 603, 360, 765, 1012, 16, 2807, 14224, 254, 1885, 324, 7742, 1767, 14, 286, 13864, 561, 274, 254, 7580, 27681, 13908, 14, 9786, 3653, 587, 2759, 3570, 494, 6752, 4577, 282, 772, 5230, 8631, 14, 980, 605, 2093, 254, 3506, 1499, 14, 324, 441, 286, 772, 2086, 1397, 380, 20318, 1663, 348, 8976, 4211, 44562, 520, 813, 23, 394, 13957, 16, 188, 43, 2033, 327, 46099, 4211, 311, 2696, 254, 1499, 457, 85, 6873, 383, 1910, 9091, 14, 532, 311, 345, 2731, 387, 254, 2560, 5246, 33, 310, 1480, 369, 9600, 407, 3653, 457, 85, 2964, 14, 532, 345, 311, 2732, 282, 1920, 254, 2371, 1321, 432, 1129, 254, 1499, 457, 85, 658, 2189, 2118, 256, 286, 1129, 19271, 16, 543, 285, 360, 3673, 403, 1534, 731, 4476, 327, 2304, 360, 1574, 282, 1431, 597, 324, 9113, 14, 360, 2411, 254, 2714, 13975, 5435, 14960, 188, 2943, 1201, 36268, 3446, 769, 510, 496, 584, 1238, 844, 23162, 7324, 852, 345, 14687, 282, 4017, 942, 327, 520, 34068, 276, 23959, 4504, 348, 1181, 543, 339, 417, 624, 63, 2269, 276, 580, 1722, 348, 254, 3278, 11375, 4504, 276, 580, 802, 33, 1583, 14, 345, 1848, 457, 86, 1091, 2486, 626, 641, 1887, 332, 746, 668, 327, 1091, 369, 626, 33, 188, 43, 369, 1869, 248, 2714, 12243, 15, 74, 809, 1048, 457, 888, 670, 353, 369, 3136, 44935, 282, 321, 7317, 668, 254, 3026, 16, 8873, 1002, 310, 476, 915, 843, 5130, 3526, 7583, 282, 321, 4024, 324, 254, 529, 16, 53, 16, 282, 8572, 254, 1284, 2022, 274, 254, 1499, 457, 85, 3133, 16, 2028, 587, 4002, 321, 2828, 5346, 324, 615, 15962, 950, 33, 188, 510, 475, 2370, 72, 21062, 12, 23162, 2101, 14, 15431, 14, 311, 327, 254, 529, 16, 53, 16, 311, 1311, 254, 10771, 2514, 10354, 274, 2269, 276, 254, 1499, 16, 1223, 14, 360, 452, 643, 324, 248, 1034, 14, 1034, 671, 16, 4002, 555, 643, 23104, 597, 282, 441, 276, 436, 6951, 14, 532, 596, 4400, 7942, 327, 254, 22144, 28073, 596, 497, 12836, 497, 2328, 615, 2257, 440 ]

[ 1, 5321, 2034, 327, 387, 1824, 374, 22, 2942, 403, 2961, 282, 1323, 248, 17607, 1918, 1056, 16, 1838, 5732, 5062, 403, 1480, 3355, 2983, 286, 476, 457, 86, 2023, 3684, 2151, 1508, 282, 2374, 2165, 2704, 276, 2653, 5098, 286, 3184, 5595, 16, 188, 686, 1316, 282, 3054, 436, 671, 13770, 5445, 254, 889, 274, 5622, 2983, 555, 2411, 248, 9308, 3109, 16, 380, 30702, 1545, 368, 282, 3915, 3684, 1508, 286, 1017, 3300, 5009, 2210, 16, 188, 4581, 15832, 343, 637, 15, 258, 5800, 420, 4326, 286, 30702, 4662, 13850, 327, 3517, 254, 9347, 324, 6794, 12468, 274, 254, 347, 46763, 1878, 20546, 39, 20141, 2856, 45367, 4, 286, 5060, 21739, 16, 5696, 282, 2537, 3415, 774, 321, 23680, 276, 254, 1057, 6794, 324, 248, 1656, 2042, 9028, 1423, 16, 0, 10385, 1244, 45288, 47, 8500, 15868, 1091, 13874, 6601, 2185, 286, 24452, 1017, 2079, 6656, 573, 1865, 282, 16545, 615, 10787, 25852, 436, 2065, 16, 380, 9901, 457, 85, 22400, 6625, 11620, 248, 1868, 374, 19, 12625, 16006, 387, 695, 338, 22, 394, 24785, 35647, 1426, 38227, 44469, 286, 7739, 291, 330, 14283, 328, 3850, 338, 387, 254, 610, 3276, 262, 5044, 16, 411, 40014, 6145, 740, 26959, 14, 30342, 3172, 344, 19705, 14, 369, 254, 34919, 274, 38246, 16, 188, 3269, 19078, 37309, 85, 407, 18960, 2514, 15723, 14, 3845, 5852, 274, 254, 29122, 2253, 3718, 14, 380, 2997, 74, 800, 5734, 14, 23683, 5245, 37076, 14, 5848, 8902, 2421, 14, 418, 1719, 268, 14, 1676, 2480, 14, 6041, 14, 310, 3815, 706, 401, 1380, 84, 506, 14, 254, 32814, 408, 443, 16, 706, 444, 2158, 67, 444, 16, 47261, 6625, 14, 32699, 839, 1271, 11050, 14, 286, 309, 375, 1804, 67, 10243, 28217, 14, 6636, 370, 19, 18, 18, 18, 12625, 16006, 286, 580, 16101, 4242, 25234, 497, 11620, 282, 709, 25487, 2185, 286, 6656, 663, 348, 16235, 282, 4962, 4903, 2251, 939, 2103, 4584, 16, 21041, 587, 321, 15910, 1081, 1922, 23493, 1648, 29122, 12782, 2341, 6640, 14, 29122, 12782, 14436, 14, 7554, 14436, 2421, 286, 561, 15, 1153, 15, 3299, 23493, 1648, 11769, 17920, 14, 16843, 14, 286, 5919, 266, 2139, 16, 188, 1516, 802, 254, 6625, 9831, 695, 7757, 4270, 7999, 35647, 1426, 26151, 16, 6625, 15096, 7479, 877, 1201, 1264, 766, 252, 2957, 14, 769, 454, 2251, 276, 16691, 772, 4590, 311, 974, 274, 2185, 663, 2780, 327, 4584, 311, 254, 2165, 282, 23715, 8856, 1397, 1860, 2941, 624, 668, 254, 9901, 457, 85, 22400, 6625, 390, 282, 30512, 282, 695, 25234, 2024, 14, 4010, 772, 6625, 3135, 390, 1052, 254, 9074, 7014, 387, 314, 23, 24, 19, 11, 719, 23, 27, 15, 18, 20, 26, 23, 16, 188, 10, 37, 11, 8064, 274, 1760, 723, 10760, 13173, 591, 46665, 14, 3567, 16, 0, 47138, 2963, 14, 4633, 1638, 862, 286, 10223, 16, 188, 57, 16255, 1949, 6248, 276, 10310, 2963, 14, 10310, 10223, 286, 3605, 7334, 16, 188, 510, 4935, 555, 248, 6450, 41559, 8484, 1450, 286, 7421, 343, 248, 4474, 18183, 13797, 5945, 38296, 3400, 432, 254, 2824, 274, 254, 4977, 282, 254, 7421, 533, 311, 271, 16131, 343, 5065, 533, 8497, 282, 254, 2530, 274, 254, 13797, 23144, 5837, 16, 380, 884, 3008, 286, 36904, 403, 2264, 6014, 2817, 343, 37371, 23144, 286, 5258, 14, 254, 936, 15078, 311, 6193, 36894, 5945, 271, 16131, 407, 5065, 16, 380, 5017, 5818, 311, 37371, 34939, 343, 3524, 13596, 14, 254, 758, 30238, 403, 5065, 343, 4372, 2453, 800, 328, 254, 29687, 286, 5533, 16, 380, 9001, 286, 4525, 403, 13978, 16, 188, 510, 5186, 555, 248, 26564, 7042, 28837, 486, 5956, 6658, 343, 13797, 7042, 16, 188, 53, 2861, 3486, 43402, 41406, 5886, 343, 688, 9819, 27197, 14, 819, 348, 15113, 15953, 378, 13790, 390, 27955, 31222, 286, 367, 37808, 343, 9220, 295, 265, 2931, 85, 16, 188, 35, 371, 1393, 46579, 14, 1011, 5632, 14, 496, 31805, 14, 10104, 20924, 14, 354, 2473, 317, 5943, 14, 7113, 461, 583, 507, 286, 443, 1893, 16, 188, 48, 383, 311, 8590, 276, 248, 19209, 276, 254, 3112, 26763, 276, 27197, 286, 21158, 343, 5909, 6331, 286, 1051, 16, 188, 510, 23736, 26974, 2659, 268, 311, 2013, 282, 254, 5945, 27172, 265, 2659, 268, 533, 19405, 407, 1851, 248, 8881, 3065, 38296, 328, 254, 1874, 274, 254, 5818, 286, 248, 1181, 1637, 2840, 3065, 5516, 1444, 254, 4611, 38296, 328, 254, 2377, 16, 188, 510, 23736, 26974, 2659, 268, 476, 321, 2254, 432, 1996, 254, 44158, 5242, 35680, 390, 254, 28553, 35680, 274, 254, 3561, 9148, 16, 188, 6690, 15486, 497, 2584, 432, 254, 44158, 5242, 35680, 533, 20012, 85, 254, 3561, 9148, 16, 0, 61, 11180, 24642, 3239, 63, 750, 8669, 597, 276, 15289, 630, 14, 22785, 16937, 286, 555, 4168, 1525, 254, 1922, 11235, 4351, 324, 374, 25, 1090, 16, 826, 4226, 2992, 321, 12614, 407, 286, 20685, 276, 8726, 343, 4243, 10560, 14, 286, 665, 23808, 4850, 436, 4226, 2992, 321, 9152, 282, 254, 4311, 7371, 274, 254, 7623, 274, 5687, 16, 188, 61, 11180, 24642, 3239, 63, 330, 624, 9220, 5672, 274, 374, 18, 19, 22, 867, 2071, 6169, 587, 321, 5770, 417, 1034, 432, 1012, 276, 254, 684, 6620, 7352, 6234, 11339, 6321, 9389, 14, 33824, 1280, 5813, 731, 1503, 321, 8713, 327, 11533, 3854, 328, 254, 3607, 349, 592, 286, 626, 587, 321, 641, 8652, 668, 14492, 16, 380, 944, 3225, 819, 37902, 266, 14, 12581, 248, 46582, 274, 843, 254, 452, 643, 3303, 286, 615, 1430, 250, 3537, 14, 403, 17352, 561, 276, 248, 33824, 3802, 5770, 276, 254, 684, 6620, 7352, 6234, 11339, 6321, 9389, 28, 33824, 1280, 5813, 1547, 756, 2378, 7376, 546, 343, 254, 3834, 2958, 4577, 35973, 640, 663, 452, 1090, 274, 2705, 276, 4782, 561, 4824, 3790, 16911, 16, 188, 686, 1068, 633, 18118, 452, 417, 8774, 254, 3338, 5429, 286, 368, 1797, 1652, 3591, 436, 1479, 274, 4824, 835, 368, 476, 321, 7234, 282, 3217, 272, 416, 5659, 10871, 276, 9997, 282, 729, 14, 324, 11423, 276, 615, 6954, 16, 0, 22307, 23367, 7042, 555, 7358, 701, 286, 17124, 75, 11959, 1198, 20917, 343, 1004, 642, 1285, 254, 4747, 274, 2038, 546, 25280 ]

[ 1, 248, 4422, 3498, 37100, 774, 3471, 282, 321, 272, 15948, 2545, 16, 188, 1725, 562, 613, 3371, 12406, 282, 321, 7413, 343, 254, 2537, 42654, 932, 274, 6503, 4184, 5661, 16, 10068, 1015, 7617, 18589, 22728, 398, 327, 403, 387, 9585, 327, 403, 4426, 16, 1395, 774, 6648, 751, 11605, 327, 5655, 587, 4005, 327, 633, 3709, 1114, 403, 12362, 533, 872, 282, 751, 3444, 16, 188, 7373, 17514, 32991, 248, 1157, 2874, 276, 4584, 16, 2752, 16100, 5066, 254, 3371, 513, 353, 286, 670, 254, 7320, 369, 6140, 14, 353, 1623, 311, 14721, 327, 436, 2169, 274, 13897, 311, 4634, 348, 248, 898, 274, 407, 254, 29876, 974, 353, 457, 619, 321, 9123, 324, 3509, 615, 34059, 276, 254, 2104, 16, 1260, 248, 9672, 274, 254, 3265, 12364, 1336, 311, 3202, 407, 10446, 3371, 16, 188, 6004, 254, 3371, 452, 282, 8494, 254, 3265, 274, 671, 13991, 286, 8130, 15, 515, 17598, 3941, 13454, 774, 6648, 321, 3136, 1837, 16, 1547, 476, 3831, 254, 3681, 2517, 327, 254, 12364, 11284, 23207, 615, 30950, 593, 286, 1305, 729, 276, 4419, 1157, 7168, 16, 1260, 248, 898, 274, 6884, 1221, 3427, 7320, 14, 248, 5805, 4699, 22409, 14, 286, 669, 276, 665, 671, 14, 22409, 457, 2863, 1508, 276, 248, 11030, 270, 6186, 1884, 16, 188, 11567, 248, 5158, 274, 7538, 16393, 368, 457, 251, 4558, 282, 5166, 8555, 274, 3136, 248, 1612, 2298, 274, 7732, 16, 1664, 774, 417, 321, 8930, 282, 5846, 1033, 2115, 626, 311, 669, 14, 353, 774, 1354, 248, 1205, 282, 7368, 254, 3138, 898, 327, 311, 7775, 16, 36348, 1863, 254, 5224, 3620, 43064, 2485, 286, 2525, 3095, 16, 188, 510, 3265, 327, 497, 5781, 3661, 5234, 403, 756, 688, 1726, 24061, 282, 452, 368, 2956, 328, 254, 3338, 9751, 16, 330, 4422, 274, 254, 5588, 573, 254, 3621, 282, 15195, 254, 931, 596, 2709, 282, 642, 3265, 16, 1395, 403, 1438, 282, 19335, 254, 2169, 282, 254, 2353, 2646, 368, 2055, 282, 867, 597, 633, 1316, 368, 403, 2041, 282, 1074, 286, 4377, 479, 3, 188, 2432, 403, 3783, 4235, 533, 403, 1491, 286, 669, 248, 1603, 403, 43909, 16, 16828, 319, 457, 85, 3964, 587, 321, 1845, 282, 1916, 1125, 5532, 276, 248, 42254, 671, 2114, 16, 731, 1623, 311, 1726, 2101, 327, 368, 3256, 6384, 633, 6112, 286, 6231, 457, 86, 2876, 16713, 432, 254, 1056, 6282, 954, 188, 1934, 1193, 272, 5630, 867, 274, 2836, 328, 282, 295, 2848, 633, 785, 311, 14721, 16, 7023, 1354, 248, 997, 387, 254, 5246, 353, 28187, 16, 1395, 1582, 2033, 748, 633, 5535, 1503, 17065, 16, 188, 686, 254, 2186, 274, 1012, 14, 1004, 2485, 5441, 282, 9260, 615, 1193, 2949, 16, 1395, 403, 2041, 282, 387, 512, 2008, 41430, 254, 2115, 3402, 841, 254, 495, 19, 14, 603, 368, 403, 248, 1612, 5293, 867, 248, 15475, 328, 254, 5224, 274, 2211, 14, 670, 353, 1623, 311, 4895, 417, 14040, 16, 731, 457, 85, 4475, 327, 272, 4116, 7014, 321, 276, 248, 1619, 830, 596, 807, 768, 3875, 282, 9196, 254, 4902, 16, 188, 1130, 650, 321, 2499, 20369, 282, 1354, 248, 997, 276, 254, 4174, 274, 40447, 327, 4251, 615, 4189, 282, 452, 254, 3621, 282, 2374, 1826, 626, 457, 85, 4681, 282, 751, 248, 2194, 6237, 387, 254, 621, 324, 25922, 390, 615, 1225, 2586, 282, 15475, 9297, 939, 35698, 7955, 16, 330, 2187, 274, 12287, 1872, 7413, 343, 254, 2107, 867, 274, 16491, 16, 1395, 774, 417, 5565, 282, 3677, 537, 2185, 286, 254, 1770, 327, 403, 44841, 633, 34253, 16, 188, 31068, 5661, 282, 8372, 368, 1074, 254, 16, 5243, 7172, 587, 321, 2152, 4414, 348, 368, 8106, 16, 6499, 403, 3989, 15, 251, 18724, 16, 188, 19521, 282, 4832, 254, 5704, 432, 16873, 1525, 6789, 14, 330, 1603, 274, 254, 3505, 1789, 2992, 1920, 387, 2710, 16, 2512, 254, 3449, 8349, 2586, 274, 12364, 1336, 5427, 390, 368, 872, 282, 8782, 248, 1052, 16, 1395, 457, 307, 2152, 248, 14724, 1844, 16, 0, 10881, 368, 1038, 625, 961, 282, 811, 1382, 254, 5332, 14, 368, 961, 282, 33261, 254, 5332, 16, 1395, 961, 282, 35040, 254, 5332, 16, 3699, 4440, 4935, 17, 34350, 20107, 4738, 512, 274, 772, 2289, 15, 4259, 20107, 587, 4615, 436, 771, 809, 7650, 16, 1395, 1782, 321, 580, 274, 248, 1330, 1361, 274, 17324, 17305, 282, 1193, 748, 434, 2056, 282, 321, 248, 24556, 434, 5224, 3, 0, 2943, 310, 1649, 4561, 328, 618, 1530, 286, 4856, 353, 282, 12454, 282, 2796, 353, 282, 618, 1530, 14, 353, 2893, 670, 310, 2055, 353, 1444, 14, 532, 670, 310, 1649, 14498, 1938, 276, 1530, 255, 286, 835, 3217, 353, 282, 12454, 286, 2055, 254, 14498, 1444, 254, 1450, 14, 254, 4561, 1042, 417, 3191, 343, 254, 1450, 14, 1002, 841, 310, 2796, 353, 282, 254, 1450, 14, 532, 1269, 14498, 14, 353, 19354, 328, 254, 1450, 16, 2955, 310, 5651, 248, 3109, 33, 188, 1982, 254, 38214, 248, 4707, 1740, 811, 2796, 353, 282, 254, 1450, 5792, 16, 188, 43, 852, 748, 31913, 460, 13248, 749, 14, 310, 2796, 254, 4561, 3703, 282, 254, 5792, 328, 254, 1450, 286, 353, 4168, 14, 310, 369, 12035, 603, 436, 369, 254, 5068, 14, 532, 353, 4168, 16, 188, 2148, 248, 624, 2488, 2133, 14, 1309, 11510, 328, 248, 4230, 14, 310, 1141, 368, 1817, 452, 282, 4503, 254, 4230, 434, 28518, 282, 254, 11510, 1740, 16, 9887, 33, 188, 43, 5316, 14, 310, 452, 417, 12407, 327, 2019, 2486, 14, 348, 310, 715, 2732, 282, 2941, 1472, 35137, 669, 14, 286, 353, 311, 1837, 324, 248, 813, 21, 802, 1668, 5435, 1037, 33, 0, 27054, 555, 1062, 4679, 6522, 324, 254, 5603, 286, 327, 2034, 671, 282, 1309, 5552, 368, 282, 254, 10670, 324, 512, 615, 1837, 785, 16, 188, 510, 4853, 763, 21560, 2620, 276, 254, 5246, 1788, 403, 5172, 13302, 283, 367, 12204, 2499, 683, 254, 2508, 310, 3673, 889, 16, 731, 434, 248, 1623, 1247, 9292, 14, 310, 8459, 353, 348, 272, 3259, 314, 263, 434, 4075, 348, 2741, 43505, 11, 532, 310, 8611, 2314, 353, 16, 731, 434, 5167, 286, 40155, 532, 3364, 282, 785, 343 ]

[ 1, 10518, 16, 380, 3056, 769, 40825, 26690, 666, 2034, 248, 13138, 23626, 327, 311, 33380, 4024, 282, 3637, 254, 3506, 25812, 274, 695, 1491, 13927, 16, 1760, 591, 327, 1038, 457, 86, 5271, 2159, 593, 6865, 328, 615, 1193, 314, 1507, 1610, 14, 35967, 44969, 11, 403, 1438, 282, 321, 13138, 14, 2228, 10466, 12597, 658, 591, 747, 22163, 3010, 14, 9211, 14, 286, 25825, 403, 1311, 5827, 324, 4328, 16, 1395, 933, 321, 2731, 324, 769, 31925, 23432, 666, 324, 254, 25812, 4305, 274, 633, 1830, 16, 826, 2034, 254, 25812, 311, 5842, 432, 254, 4304, 390, 17021, 353, 41114, 432, 14, 286, 311, 10105, 276, 248, 1062, 2107, 1026, 16, 906, 1014, 7796, 3462, 403, 641, 3248, 1594, 282, 36014, 1919, 432, 1996, 16, 5243, 1830, 3083, 933, 321, 324, 3462, 4024, 282, 24797, 633, 4658, 286, 2488, 280, 348, 9799, 282, 3462, 343, 1291, 3068, 286, 35595, 327, 403, 811, 417, 3202, 16, 1260, 248, 5527, 14, 2536, 561, 633, 7383, 1830, 286, 2479, 254, 12347, 328, 254, 5050, 16, 1395, 774, 321, 9600, 387, 748, 368, 1074, 16, 188, 35, 1427, 18034, 15, 35, 3280, 16603, 14, 5556, 38119, 39240, 12018, 29594, 1037, 748, 434, 254, 29907, 33, 0, 29031, 20964, 16, 6185, 311, 254, 3783, 3858, 274, 9212, 15572, 30919, 11035, 14, 5974, 457, 85, 4144, 3746, 20272, 286, 4740, 5372, 3462, 11035, 1544, 338, 26, 26, 19, 16, 839, 3709, 9888, 3547, 276, 254, 9484, 8548, 14, 743, 4163, 276, 36031, 286, 5372, 5009, 14, 3265, 13197, 254, 8548, 14, 3017, 8856, 14, 6555, 11861, 14, 1068, 2109, 286, 624, 16, 188, 510, 756, 3746, 4351, 11035, 10701, 5974, 457, 85, 24700, 22986, 14, 8780, 13730, 14, 286, 1745, 38066, 1550, 85, 18903, 14, 9212, 6757, 298, 515, 7526, 695, 10390, 23404, 254, 743, 286, 11967, 8856, 276, 836, 4759, 16, 188, 31760, 276, 4959, 282, 3858, 254, 20272, 286, 4740, 5372, 3462, 8548, 276, 24460, 14, 10892, 1427, 40178, 14, 286, 14328, 16878, 14, 12259, 13680, 568, 9484, 75, 25556, 10047, 1460, 432, 1444, 254, 1499, 282, 1336, 8919, 276, 436, 2829, 2411, 624, 5751, 286, 26879, 16, 188, 13348, 273, 254, 14650, 286, 4032, 706, 3556, 18903, 343, 1460, 282, 1336, 1382, 624, 5751, 5704, 16, 188, 31068, 457, 85, 756, 3746, 11035, 9676, 282, 254, 769, 15800, 282, 3843, 666, 2703, 14, 9136, 1860, 8443, 13805, 695, 17538, 10390, 343, 1460, 286, 6326, 3547, 282, 3054, 254, 6555, 14, 11216, 1402, 14, 286, 31261, 274, 615, 5704, 16, 0, 10717, 305, 6805, 2983, 476, 8194, 688, 5802, 274, 28565, 286, 37485, 7229, 282, 7009, 2622, 254, 45144, 2160, 343, 248, 785, 15, 16274, 6253, 282, 248, 1603, 12197, 10156, 593, 15, 8661, 347, 1139, 3199, 4, 1518, 305, 6805, 6555, 16, 839, 7214, 2983, 282, 8194, 254, 975, 274, 7229, 327, 12538, 276, 671, 7766, 10689, 1343, 91, 2908, 39922, 314, 47, 10260, 11, 9674, 343, 38979, 1518, 305, 6805, 6555, 16, 839, 4503, 1518, 305, 6805, 5445, 819, 348, 17348, 29296, 14, 2057, 16386, 5553, 14, 44264, 15, 3146, 5570, 38262, 38133, 14, 286, 6884, 10342, 324, 4603, 14998, 14, 14163, 14, 1250, 15, 2538, 6312, 4500, 33830, 5737, 274, 354, 10260, 16, 839, 4503, 836, 2983, 282, 248, 2546, 11308, 422, 354, 10260, 22085, 1840, 14, 254, 443, 3069, 295, 14082, 1840, 14, 286, 818, 248, 2196, 5059, 6915, 1631, 14, 533, 311, 248, 4475, 8619, 274, 10689, 1024, 17888, 11463, 12381, 285, 16, 839, 913, 327, 772, 1518, 305, 6805, 2983, 476, 4962, 2734, 38979, 6555, 328, 4603, 14998, 11308, 422, 354, 10260, 9674, 16, 314, 37, 11, 374, 18, 19, 18, 31669, 39134, 3567, 16, 1822, 3453, 10544, 16, 188, 1516, 785, 369, 4376, 758, 254, 7743, 39, 22249, 46417, 2024, 314, 2921, 12860, 39, 19989, 1583, 16, 6031, 15, 1878, 18, 20, 15, 18, 27, 2688, 19, 19, 22, 24, 24, 11, 2600, 387, 24997, 31705, 17207, 17676, 14, 24997, 2421, 14, 286, 12394, 2421, 16, 826, 2479, 900, 5146, 274, 254, 3206, 5044, 324, 10973, 1036, 13050, 387, 16552, 27220, 3206, 17676, 14, 533, 311, 4376, 407, 254, 7258, 274, 6693, 274, 254, 1924, 4347, 274, 11353, 758, 19989, 1583, 16, 6031, 15, 1878, 18, 23, 15, 18, 18, 1347, 20, 20, 25, 20, 23, 16, 826, 2479, 900, 5146, 274, 254, 3206, 11353, 5329, 14892, 36267, 5044, 14, 533, 311, 4376, 407, 254, 7258, 274, 6693, 274, 254, 1924, 4347, 274, 11353, 758, 19989, 1583, 16, 6031, 15, 1878, 18, 20, 15, 18, 23, 2688, 19, 19, 20, 21, 19, 16, 839, 45549, 14015, 21331, 931, 432, 254, 22249, 46417, 5044, 324, 43882, 354, 7081, 4418, 8627, 16, 0, 4412, 1241, 1842, 274, 23267, 15, 2089, 273, 1444, 3157, 325, 318, 14569, 353, 369, 671, 282, 8550, 561, 274, 10632, 75, 4451, 328, 282, 443, 37120, 324, 688, 6622, 23267, 286, 41820, 31852, 16, 188, 19415, 20199, 276, 254, 29940, 457, 85, 403, 1996, 328, 248, 36099, 848, 390, 272, 338, 26, 7126, 36314, 13996, 351, 14, 1491, 785, 4074, 266, 6845, 274, 2094, 1354, 15, 13884, 286, 2575, 721, 14, 286, 7250, 324, 8700, 35542, 3, 188, 35, 4679, 14857, 16870, 7862, 14, 254, 2714, 36, 1476, 91, 3595, 457, 6705, 407, 20261, 16142, 276, 5258, 3473, 657, 12060, 276, 338, 27, 26, 24, 16, 15397, 28, 16441, 32829, 16, 188, 24260, 17052, 1225, 615, 1193, 3133, 670, 353, 3144, 282, 3532, 48225, 363, 789, 14, 286, 443, 37120, 457, 85, 4320, 1026, 274, 15715, 436, 369, 407, 13782, 763, 1330, 17052, 2292, 286, 20353, 3372, 729, 282, 1041, 748, 311, 1311, 248, 2094, 1382, 12249, 16, 12803, 443, 37120, 1339, 321, 580, 274, 254, 1603, 36602, 276, 254, 1499, 343, 641, 11775, 2187, 974, 626, 403, 641, 13558, 1045, 286, 641, 9163, 16, 3646, 248, 11402, 554, 16, 188, 1212, 497, 28859, 387, 254, 9791, 8130, 407, 20261, 16142, 14, 7109, 274, 399, 422, 443, 37120, 14, 663, 8167, 2134, 441, 687, 282, 254, 24912, 8745, 328, 254, 1964, 8700, 274, 18320, 37120, 314, 18397, 1390, 1015, 32558, 11, 835, 2362, 282, 1495, 1330, 8700, 314, 47, 41927, 27868, 11, 282, 6761, 254, 2286, 387 ]

[ 1, 6856, 14, 28683, 14, 286, 32629, 286, 5711, 963, 16, 26209, 276, 11947, 286, 755, 48155, 16, 26855, 6887, 24525, 713, 1004, 46572, 3096, 16, 41410, 338, 4813, 282, 338, 4813, 338, 18, 2819, 390, 1863, 9970, 24771, 1919, 432, 6936, 274, 3096, 16, 24867, 276, 43247, 328, 6199, 21495, 338, 18, 2819, 286, 5228, 432, 3096, 286, 4344, 4196, 328, 21495, 16, 188, 46, 8671, 457, 85, 21153, 28, 826, 311, 248, 1247, 13242, 324, 254, 22469, 282, 1862, 348, 248, 8901, 1544, 353, 2701, 495, 2271, 3352, 16, 1395, 476, 669, 1041, 2006, 12594, 15, 4077, 3352, 14, 811, 2541, 888, 328, 254, 16839, 671, 16, 826, 9970, 1903, 13137, 963, 1480, 593, 2035, 6214, 286, 31239, 688, 17212, 2318, 436, 802, 16, 0, 3350, 40916, 11169, 378, 3215, 52, 31863, 14, 10290, 2932, 49, 5988, 14, 26987, 14, 2470, 374, 20, 1091, 5329, 4674, 561, 407, 10991, 7985, 10666, 276, 14053, 343, 254, 1924, 4347, 274, 27114, 2636, 327, 20699, 254, 34909, 18235, 461, 807, 321, 1157, 324, 254, 2710, 16, 188, 510, 8381, 8171, 432, 254, 5461, 11839, 274, 496, 7144, 3978, 10261, 23481, 1466, 314, 1811, 34713, 11, 286, 254, 500, 18661, 10991, 91, 27262, 2421, 274, 27114, 286, 10501, 452, 1102, 327, 254, 1133, 461, 85, 403, 448, 820, 15, 11234, 274, 4304, 10065, 2922, 14, 31403, 7143, 2922, 14, 533, 452, 13190, 22616, 3487, 16, 188, 510, 1133, 461, 85, 533, 403, 7361, 2254, 348, 248, 30629, 276, 254, 10118, 2861, 2829, 14, 1635, 596, 3869, 328, 18929, 276, 1810, 14901, 4144, 282, 46816, 14, 807, 3004, 1663, 282, 321, 2254, 276, 248, 624, 2675, 1665, 286, 348, 248, 2653, 2520, 3622, 16, 188, 2557, 1719, 7143, 2922, 533, 403, 5271, 1102, 276, 6073, 532, 533, 254, 1133, 461, 85, 452, 1012, 643, 1102, 282, 321, 248, 6611, 2520, 274, 14, 2878, 254, 10772, 274, 11900, 42106, 3280, 13190, 713, 254, 539, 383, 1083, 16, 188, 1590, 1212, 2458, 327, 841, 254, 34909, 18235, 461, 555, 9941, 328, 248, 8243, 796, 6025, 14, 944, 274, 254, 1794, 31403, 7143, 2922, 403, 19485, 286, 743, 4254, 403, 669, 4061, 276, 695, 7734, 16, 496, 1577, 14, 436, 5480, 282, 248, 1017, 31403, 7143, 312, 2517, 14, 533, 5767, 327, 8886, 34909, 18235, 461, 85, 807, 4646, 13190, 1756, 9031, 34713, 11300, 382, 12382, 27394, 35052, 34144, 81, 11118, 16, 188, 15331, 254, 1133, 461, 85, 452, 669, 643, 1102, 282, 321, 6611, 4822, 274, 2518, 14, 13741, 9280, 286, 28345, 14, 34144, 81, 311, 27687, 327, 624, 2479, 587, 563, 713, 25975, 273, 695, 2365, 348, 248, 2653, 2520, 16, 188, 1590, 1212, 3409, 327, 772, 4202, 587, 1252, 2346, 254, 2479, 328, 254, 34909, 18235, 461, 276, 248, 743, 13764, 7670, 29, 695, 2365, 348, 248, 4305, 276, 2653, 286, 21322, 3860, 276, 7334, 16, 9673, 695, 3888, 2382, 14, 254, 34909, 18235, 461, 311, 2102, 16543, 276, 1125, 4661, 276, 7334, 286, 10223, 16, 1260, 9031, 34713, 555, 11156, 687, 254, 1090, 14, 254, 34909, 18235, 461, 311, 6508, 3364, 282, 10305, 14, 4355, 327, 353, 807, 321, 39949, 6675, 328, 248, 1330, 15, 7330, 1756, 34144, 81, 2225, 16, 188, 27745, 713, 21703, 348, 2653, 4822, 14, 9031, 34713, 8001, 14, 555, 643, 2359, 14856, 407, 248, 5511, 4022, 2974, 14, 2477, 9839, 5670, 14, 46316, 1773, 286, 2575, 5146, 348, 963, 348, 7742, 1767, 16, 188, 686, 31805, 14, 596, 11608, 14, 669, 452, 254, 2790, 5585, 274, 1129, 19592, 282, 10305, 286, 5938, 248, 20624, 24148, 32044, 683, 28545, 16, 0, 40552, 41279, 662, 9559, 14, 338, 26, 15, 10250, 15, 741, 14, 369, 4301, 23557, 407, 248, 14147, 276, 254, 338, 23, 18, 18, 2878, 274, 338, 18, 394, 18408, 411, 328, 6741, 3998, 4028, 374, 20, 16, 9397, 10690, 282, 254, 6029, 387, 338, 18, 28, 19, 18, 248, 16, 79, 16, 282, 9806, 2167, 265, 972, 16, 188, 1128, 36139, 369, 2600, 10780, 286, 3614, 254, 3138, 2759, 274, 2393, 555, 417, 2486, 643, 3303, 14, 26424, 1115, 311, 417, 12920, 16, 31481, 2317, 587, 3906, 282, 9806, 254, 7258, 274, 254, 8825, 2995, 25833, 282, 4947, 254, 2759, 286, 4980, 274, 2393, 16, 188, 6516, 1949, 33690, 933, 321, 6646, 282, 254, 20858, 4347, 274, 254, 8825, 2995, 25833, 16, 0, 21516, 33594, 276, 2038, 535, 1326, 286, 45716, 276, 248, 10286, 286, 2653, 24204, 532, 328, 407, 374, 2046, 3844, 5250, 16, 188, 1212, 587, 321, 30105, 1694, 6321, 11135, 1485, 8591, 327, 587, 321, 17906, 343, 16832, 2653, 16, 188, 1793, 2555, 85, 563, 282, 436, 1247, 2759, 327, 7526, 3869, 2038, 535, 1326, 10663, 286, 7526, 282, 3694, 22884, 16, 188, 1212, 3409, 282, 915, 368, 626, 328, 4423, 338, 21, 286, 4126, 688, 1247, 1485, 8591, 286, 37346, 3, 0, 3431, 2201, 23059, 282, 321, 10923, 713, 6193, 8377, 586, 10417, 273, 2632, 16, 3511, 19893, 343, 954, 22, 23, 18, 286, 954, 27, 18, 18, 7141, 366, 9837, 286, 2066, 276, 512, 6193, 8377, 586, 7141, 366, 21607, 16, 28367, 1487, 282, 254, 4442, 7269, 16, 0, 2300, 254, 10725, 274, 10170, 273, 272, 10473, 16565, 276, 616, 1193, 1683, 14, 3397, 338, 16, 188, 2148, 272, 732, 16840, 24186, 14, 368, 770, 759, 254, 1362, 327, 272, 10473, 2150, 5114, 2693, 1312, 836, 2906, 28, 769, 43, 961, 368, 282, 1663, 286, 10170, 618, 1193, 1683, 1397, 330, 16565, 457, 85, 1193, 1683, 476, 321, 580, 274, 254, 6287, 13849, 274, 748, 616, 2710, 286, 2482, 286, 8319, 1464, 997, 747, 16, 1469, 555, 2674, 5211, 293, 3486, 20870, 6995, 7224, 432, 616, 2342, 12879, 457, 3175, 286, 254, 1845, 14687, 8598, 2443, 274, 7363, 16, 380, 898, 311, 14, 276, 618, 3258, 4159, 1191, 14, 1845, 1594, 28795, 282, 915, 14, 286, 4669, 3035, 457, 85, 1683, 311, 641, 6343, 16, 4669, 3035, 4255, 343, 616, 1963, 274, 1694, 432, 9438, 286, 12946, 607, 1090, 14, 4250, 328, 802, 813, 276, 254, 2342, 14, 282, 1242, 2328, 665, 29008, 568, 16, 8995, 327, 701, 6350, 1143, 7593, 282, 3217, 254, 338, 27, 27, 18, 457, 85, 2342, 14, 5094, 276, 748 ]

[ 1, 813, 23, 394, 7164, 16035, 276, 374, 18, 19, 24, 14, 254, 1527, 311, 272, 4429, 343, 2234, 16, 18429, 10452, 14, 15096, 274, 380, 388, 525, 294, 6625, 1544, 374, 18, 19, 19, 286, 4310, 3442, 1544, 338, 27, 27, 24, 14, 18418, 328, 254, 3373, 274, 380, 388, 525, 294, 6625, 286, 695, 2165, 7485, 46537, 254, 3015, 286, 4317, 16, 188, 51, 28, 4585, 35821, 282, 380, 388, 525, 294, 6625, 328, 10638, 695, 813, 23, 394, 7164, 16035, 16, 16119, 368, 3768, 343, 441, 248, 2298, 668, 695, 20183, 33, 188, 41, 10870, 28, 380, 388, 525, 294, 6625, 369, 11115, 276, 338, 27, 22, 19, 407, 5916, 330, 16, 388, 525, 294, 286, 520, 3240, 15797, 331, 16, 388, 525, 294, 16, 1664, 497, 2537, 4310, 2672, 286, 254, 801, 22919, 369, 370, 19, 18, 16, 3805, 835, 360, 1797, 8010, 2019, 4317, 748, 1002, 254, 388, 525, 1220, 3061, 18452, 14, 532, 276, 688, 3956, 360, 513, 1789, 811, 747, 360, 852, 813, 23, 1090, 3502, 16, 839, 1674, 276, 6319, 286, 5495, 327, 7065, 1491, 5215, 14, 327, 1336, 1491, 942, 14, 286, 327, 1041, 248, 1491, 3373, 276, 772, 3015, 16, 380, 942, 663, 1041, 1093, 6902, 3051, 286, 785, 1045, 14, 452, 615, 11157, 1045, 14, 286, 3768, 254, 1057, 11527, 282, 16449, 327, 254, 388, 525, 1220, 5030, 16, 188, 51, 28, 1691, 1748, 21164, 687, 254, 2391, 813, 23, 1090, 311, 254, 6625, 944, 9714, 274, 33, 188, 41, 10870, 28, 1664, 403, 1125, 4902, 276, 436, 3015, 830, 368, 476, 915, 254, 6625, 457, 85, 785, 276, 2181, 14, 532, 603, 310, 573, 282, 2536, 580, 327, 310, 457, 79, 944, 9714, 274, 14, 353, 650, 3061, 321, 380, 388, 525, 294, 6342, 16, 1664, 6231, 625, 1125, 642, 7681, 274, 772, 1921, 327, 3064, 1499, 15, 2360, 2479, 11799, 14, 1181, 1637, 2479, 11799, 327, 403, 2328, 7726, 31713, 387, 254, 4144, 4873, 274, 615, 1631, 16, 188, 686, 1596, 282, 436, 14, 6069, 2006, 1303, 15, 15177, 8660, 282, 254, 4310, 4343, 254, 6625, 282, 3858, 2362, 254, 3015, 282, 2023, 1305, 327, 311, 4828, 796, 16, 731, 311, 45435, 282, 915, 254, 3736, 3858, 274, 380, 388, 525, 294, 6625, 286, 254, 1125, 2675, 3956, 353, 25944, 942, 276, 254, 3015, 16, 188, 51, 28, 1691, 21164, 403, 276, 254, 15286, 327, 368, 403, 8814, 668, 33, 188, 41, 10870, 28, 1664, 403, 2006, 15931, 743, 21164, 43135, 407, 254, 4310, 324, 1012, 286, 254, 2764, 16, 28715, 374, 18, 20, 18, 587, 3217, 668, 2006, 6319, 282, 7086, 254, 3184, 274, 3686, 286, 2367, 276, 16449, 16, 380, 388, 525, 294, 6342, 286, 254, 6092, 1296, 274, 31713, 10911, 282, 1709, 743, 2072, 286, 2411, 272, 4903, 5485, 282, 16449, 403, 39124, 11967, 16, 6934, 1348, 11909, 6640, 434, 743, 5044, 324, 27114, 286, 11125, 6693, 10501, 2024, 587, 16823, 4163, 14, 5692, 14, 286, 20418, 286, 4780, 1577, 35661, 713, 248, 4022, 6480, 324, 3609, 2764, 14364, 16, 1664, 434, 248, 2187, 282, 321, 8814, 668, 16, 188, 51, 28, 1334, 513, 368, 2848, 254, 2675, 3373, 274, 254, 6625, 328, 16449, 14, 772, 1350, 286, 5779, 387, 1733, 33, 188, 41, 10870, 28, 380, 6625, 6933, 1241, 1062, 1726, 9253, 28, 580, 14, 360, 457, 251, 248, 2520, 274, 1449, 1305, 282, 6319, 286, 21164, 327, 5485, 254, 16449, 3015, 16, 5596, 14, 407, 16498, 274, 12498, 274, 624, 683, 576, 26, 2476, 274, 388, 525, 294, 34852, 10995, 5574, 14, 360, 11882, 254, 2485, 457, 85, 7675, 16, 496, 327, 2472, 14, 360, 452, 4405, 248, 628, 276, 7362, 388, 525, 294, 34852, 3781, 14, 5511, 286, 428, 4780, 944, 15108, 428, 1707, 1045, 276, 16449, 16, 8829, 14, 360, 2023, 324, 254, 4682, 15089, 274, 1963, 44962, 324, 254, 7271, 4095, 407, 1963, 43420, 16, 188, 510, 2675, 3373, 274, 254, 6625, 328, 16449, 14, 772, 1350, 14, 286, 5779, 387, 1733, 476, 321, 3948, 276, 1015, 3956, 16, 44898, 388, 525, 294, 34852, 1707, 276, 16449, 555, 573, 248, 1500, 3373, 328, 7180, 276, 254, 3015, 286, 254, 1162, 274, 942, 3686, 286, 2367, 1045, 16, 496, 2349, 274, 38622, 11858, 4782, 14, 4679, 370, 19, 27, 25, 2945, 555, 643, 35243, 1544, 338, 27, 22, 19, 14, 533, 311, 1500, 276, 1748, 324, 248, 1330, 2758, 254, 1921, 274, 16449, 16, 380, 388, 525, 294, 6625, 311, 254, 1250, 6081, 14369, 282, 2421, 274, 14345, 974, 274, 1305, 1635, 282, 380, 388, 525, 294, 6342, 428, 327, 311, 248, 2135, 3373, 324, 16449, 286, 254, 1350, 274, 14345, 16, 188, 1934, 2475, 276, 2349, 274, 19224, 274, 32989, 4782, 14, 254, 1581, 311, 1034, 428, 360, 4248, 282, 3858, 286, 5485, 13868, 1033, 4659, 274, 3686, 286, 2367, 276, 16449, 286, 1336, 512, 942, 4619, 254, 3015, 14, 432, 35243, 286, 20585, 8690, 282, 942, 343, 2628, 3095, 16, 10017, 14, 12625, 16006, 14, 2251, 21196, 14, 7827, 14, 758, 31965, 3371, 1129, 801, 276, 615, 5703, 282, 7829, 6649, 14, 1401, 6495, 14, 13325, 26267, 14, 14235, 286, 3327, 14, 3112, 21397, 2832, 2479, 428, 254, 3373, 311, 3555, 286, 2019, 15, 43225, 14, 2664, 2747, 772, 2774, 3015, 428, 8660, 14, 9094, 286, 944, 15108, 14, 942, 434, 4701, 16, 188, 51, 28, 5431, 274, 441, 403, 6425, 274, 254, 2675, 286, 2019, 15, 43225, 3373, 254, 6625, 555, 328, 254, 1922, 3015, 14, 532, 476, 368, 3768, 248, 2298, 668, 843, 353, 16728, 328, 254, 3198, 432, 248, 25113, 8442, 33, 310, 8340, 327, 555, 643, 248, 2165, 282, 695, 11986, 2251, 687, 254, 2391, 813, 23, 1090, 16, 188, 41, 10870, 28, 1395, 1441, 977, 16, 839, 1797, 643, 26990, 282, 452, 1081, 1247, 9298, 286, 19418, 5146, 14, 763, 6250, 12865, 324, 1767, 16, 839, 669, 452, 272, 1726, 8075, 348, 10654, 37870, 274, 388, 525, 294, 34852, 10995, 428, 360, 1354, 327, 2472, 1062, 10099, 16, 188, 1212, 452, 248, 4310, 274, 17458, 1143, 597, 274, 10868, 2672, 432, 944, 274, 772, 4376, 8660, 286, 360, 452, 10268, 17458, 16, 1993, 17458, 785, 282, 1674 ]

[ 1, 18520, 28, 1003, 1827, 16, 17525, 10, 14633, 14, 247, 69, 11, 1003, 1827, 16, 32875, 22844, 10, 14633, 14, 18340, 11, 647, 3584, 19000, 348, 300, 28, 926, 1827, 16, 23442, 65, 12763, 65, 11833, 8622, 288, 11716, 65, 302, 14, 9412, 65, 302, 3185, 926, 6975, 300, 647, 1827, 16, 13677, 65, 23442, 65, 11833, 8622, 288, 11716, 65, 302, 14, 9412, 65, 302, 3185, 1465, 804, 12917, 446, 546, 10, 1262, 14, 18340, 14, 247, 69, 2192, 647, 15252, 65, 302, 426, 745, 7209, 16, 50, 5593, 1551, 11075, 25902, 17, 5318, 65, 24423, 446, 546, 65, 288, 11716, 16, 1182, 985, 7921, 426, 11475, 14, 6096, 483, 31, 2303, 7209, 16, 50, 34713, 481, 42143, 16, 1073, 4872, 28339, 1551, 17371, 15, 26, 6606, 84, 24915, 1067, 647, 9412, 65, 302, 426, 745, 7209, 16, 50, 5593, 1551, 11075, 25902, 17, 5318, 65, 24423, 446, 546, 65, 21761, 16, 1182, 985, 7921, 426, 11475, 14, 6096, 483, 31, 2303, 7209, 16, 50, 34713, 481, 42143, 16, 1073, 4872, 28339, 1551, 17371, 15, 26, 6606, 84, 24915, 1067, 647, 1574, 28, 926, 18520, 426, 1827, 16, 2313, 6337, 1551, 24423, 446, 546, 985, 374, 11, 926, 324, 5509, 276, 18520, 28, 1003, 1827, 16, 17525, 10, 14633, 14, 247, 69, 11, 1003, 1827, 16, 32875, 22844, 10, 14633, 14, 18340, 11, 647, 3584, 19000, 348, 300, 28, 926, 1827, 16, 23442, 65, 12763, 65, 11833, 8622, 288, 11716, 65, 302, 14, 9412, 65, 302, 3185, 926, 6975, 300, 647, 1827, 16, 13677, 65, 23442, 65, 11833, 8622, 288, 11716, 65, 302, 14, 9412, 65, 302, 3185, 1465, 804, 685, 85, 19, 8079, 10, 1262, 14, 18340, 14, 247, 69, 2192, 647, 6131, 65, 302, 426, 745, 7209, 16, 50, 5593, 1551, 11075, 25902, 17, 5318, 65, 2831, 19, 65, 11400, 16, 1182, 985, 7921, 426, 11475, 14, 6096, 483, 31, 2303, 7209, 16, 50, 34713, 481, 42143, 16, 1073, 4872, 28339, 1551, 17371, 15, 26, 6606, 84, 24915, 1067, 647, 671, 16, 27846, 10, 23, 11, 647, 9472, 65, 302, 426, 745, 7209, 16, 50, 5593, 1551, 11075, 25902, 17, 5318, 65, 2831, 19, 65, 8079, 16, 1182, 985, 7921, 426, 11475, 14, 6096, 483, 31, 2303, 7209, 16, 50, 34713, 481, 42143, 16, 1073, 4872, 28339, 1551, 17371, 15, 26, 6606, 84, 24915, 1067, 647, 16574, 426, 1827, 16, 2313, 6337, 1551, 2831, 19, 985, 374, 11, 647, 15252, 65, 302, 426, 745, 7209, 16, 50, 5593, 1551, 11075, 25902, 17, 5318, 65, 2831, 20, 24423, 446, 546, 65, 288, 11716, 65, 8079, 16, 1182, 985, 7921, 426, 11475, 14, 6096, 483, 31, 2303, 7209, 16, 50, 34713, 481, 42143, 16, 1073, 4872, 28339, 1551, 17371, 15, 26, 6606, 84, 24915, 1067, 647, 9412, 65, 302, 426, 745, 7209, 16, 50, 5593, 1551, 11075, 25902, 17, 5318, 65, 2831, 19, 65, 21761, 16, 1182, 985, 7921, 426, 11475, 14, 6096, 483, 31, 2303, 7209, 16, 50, 34713, 481, 42143, 16, 1073, 4872, 28339, 1551, 17371, 15, 26, 6606, 84, 24915, 1067, 647, 1574, 28, 926, 18520, 426, 257, 808, 16, 2313, 6337, 1551, 2831, 19, 985, 576, 11, 926, 324, 5509, 276, 18520, 28, 1003, 603, 417, 5509, 276, 16574, 28, 2498, 1827, 16, 17525, 10, 14633, 14, 247, 69, 11, 2498, 1827, 16, 32875, 22844, 10, 14633, 14, 18340, 11, 647, 3584, 19000, 348, 300, 28, 926, 1827, 16, 23442, 65, 12763, 65, 11833, 8622, 288, 11716, 65, 302, 14, 9412, 65, 302, 14, 6131, 65, 302, 14, 9472, 65, 302, 3185, 926, 6975, 300, 647, 1827, 16, 13677, 65, 23442, 65, 11833, 8622, 288, 11716, 65, 302, 14, 9412, 65, 302, 3185, 647, 1827, 16, 30371, 16, 12763, 10, 11400, 65, 302, 11, 647, 1827, 16, 30371, 16, 11833, 65, 12937, 10, 11400, 65, 302, 11, 647, 1827, 16, 30371, 16, 12763, 10, 8079, 65, 302, 11, 647, 1827, 16, 30371, 16, 11833, 65, 12937, 10, 8079, 65, 302, 11, 1465, 804, 685, 85, 19, 65, 23816, 1402, 10, 1262, 14, 18340, 14, 1359, 2192, 647, 42324, 426, 7954, 647, 1827, 16, 18850, 10, 31079, 11, 647, 1827, 16, 20090, 10, 31079, 11, 647, 671, 16, 27846, 10, 21, 18, 11, 647, 6131, 65, 302, 426, 745, 7209, 16, 50, 5593, 1551, 11075, 25902, 17, 5318, 65, 2831, 19, 65, 11400, 16, 1182, 985, 7921, 426, 11475, 14, 6096, 483, 31, 2303, 7209, 16, 50, 34713, 481, 42143, 16, 1073, 4872, 28339, 1551, 17371, 15, 26, 6606, 84, 24915, 1067, 647, 42324, 16, 9436, 10, 2303, 7209, 16, 50, 5593, 1551, 11075, 25902, 17, 5318, 65, 2831, 19, 65, 21761, 16, 1182, 985, 7921, 426, 11475, 14, 6096, 483, 31, 2303, 7209, 16, 50, 34713, 481, 42143, 16, 1073, 4872, 28339, 1551, 17371, 15, 26, 6606, 84, 24915, 6472, 647, 324, 13616, 276, 2413, 10, 19, 18, 14, 338, 18, 558, 1359, 2192, 926, 42324, 16, 9436, 10, 2303, 7209, 16, 50, 5593, 1551, 11075, 25902, 17, 5318, 65, 2831, 19, 65, 23816, 1402, 65, 288, 11716, 16, 1182, 11836, 3333, 7910, 10, 531, 581, 7921, 426, 11475, 14, 6096, 483, 31, 2303, 7209, 16, 50, 34713, 481, 42143, 16, 1073, 4872, 28339, 1551, 17371, 15, 26, 6606, 84, 24915, 6472, 647, 1827, 16, 13677, 65, 23442, 65, 11833, 10, 2280, 14, 495, 18, 11, 647, 1827, 16, 30371, 16, 12763, 10, 11400, 65, 302, 11, 647, 1827, 16, 30371, 16, 11833, 65, 12937, 10, 11400, 65, 302, 11, 647, 7481, 16, 445, 482, 2012, 42228, 17, 288, 11716, 34974, 6976, 9867, 5813, 7910, 10, 19, 18, 558, 1359, 428, 338, 581, 684, 42228, 17, 288, 11716, 16, 9867, 3291, 1465, 804, 685, 85, 20, 5341, 632, 65, 23816, 1402, 10, 1262, 14, 18340, 14, 1359, 2192, 647, 42324, 426, 7954, 647, 1827, 16, 18850, 10, 31079, 11, 647, 1827, 16, 20090, 10, 31079, 11, 647, 671, 16, 27846, 10, 21, 18, 11, 647, 42324, 16, 9436, 10, 2303, 7209, 16, 50, 5593, 1551, 11075, 25902, 17, 5318, 65, 2831, 20, 5341, 632, 65, 21761, 16, 1182, 985, 7921, 426, 11475, 14, 6096, 483, 31, 2303, 7209, 16, 50, 34713, 481, 42143, 16, 1073, 4872, 28339, 1551 ]

[ 1, 2550, 1558, 41, 21, 23, 56, 51, 3275, 235, 227, 172, 119, 226, 19576, 314, 42820, 1201, 5761, 11, 22861, 42039, 172, 119, 226, 9849, 6230, 558, 26658, 11371, 19255, 85, 42039, 172, 119, 226, 495, 22, 22, 18, 1246, 338, 22, 22, 18, 1676, 536, 188, 1853, 317, 416, 11520, 20662, 21, 22, 26, 51, 495, 22, 4, 33519, 15, 4223, 1148, 10260, 23828, 11267, 1249, 26639, 102, 21, 22, 4, 338, 22, 22, 18, 82, 310, 3193, 5212, 343, 23877, 1787, 5082, 443, 15, 13915, 9182, 10501, 272, 536, 188, 1853, 317, 416, 11520, 657, 2550, 1558, 41, 21, 20, 56, 51, 21, 20, 15964, 338, 26, 18, 18, 52, 21931, 16326, 5559, 343, 16961, 15, 7747, 338, 22, 22, 7947, 22195, 2210, 4024, 536, 0, 3912, 274, 20784, 457, 85, 944, 4489, 495, 38, 17, 22, 38, 18001, 10400, 282, 3407, 16, 380, 6663, 317, 252, 2868, 14, 19259, 580, 274, 254, 944, 33433, 494, 495, 38, 6792, 2632, 16, 380, 6663, 317, 252, 813, 21, 18, 311, 5740, 348, 254, 6663, 317, 252, 813, 21, 18, 39311, 343, 254, 5028, 14003, 286, 36831, 5559, 390, 348, 254, 6663, 37516, 1270, 603, 368, 4370, 417, 282, 452, 254, 26901, 5028, 14003, 328, 254, 2525, 1423, 5212, 16, 330, 4144, 495, 38, 17, 22, 38, 18001, 4992, 327, 311, 1311, 4075, 286, 1272, 5331, 2966, 16, 188, 7341, 457, 85, 6663, 317, 252, 1360, 274, 1830, 555, 254, 1640, 12332, 324, 254, 19502, 671, 2114, 324, 576, 38, 6792, 14, 37482, 14, 286, 16266, 37757, 16, 380, 6663, 317, 252, 813, 21, 18, 2956, 1125, 1090, 3502, 286, 343, 254, 43327, 3571, 286, 10040, 2462, 14, 353, 4783, 24700, 713, 748, 254, 3240, 41002, 286, 14561, 2961, 14, 248, 1708, 495, 38, 18001, 4992, 533, 311, 1012, 5740, 387, 272, 17740, 4236, 2622, 370, 21, 18, 14, 18, 18, 18, 16, 0, 4119, 17920, 311, 13488, 282, 10302, 254, 1596, 274, 13049, 91, 473, 1974, 447, 282, 254, 1427, 15, 29575, 1963, 16, 750, 3144, 282, 441, 841, 848, 1090, 276, 254, 6092, 16601, 2072, 14, 9169, 254, 944, 33265, 31989, 9094, 16, 750, 6919, 328, 5983, 7663, 785, 12274, 939, 10711, 2150, 286, 14053, 343, 6211, 16, 188, 3294, 1427, 15, 29575, 14, 13049, 91, 587, 889, 10711, 3956, 282, 3054, 520, 6211, 457, 17893, 286, 4646, 615, 4665, 16, 2936, 3981, 276, 2150, 286, 2683, 328, 5983, 2675, 7528, 8227, 311, 248, 2135, 14807, 282, 254, 1427, 15, 29575, 10313, 16, 2640, 272, 14658, 328, 17893, 5322, 14, 13049, 91, 311, 2056, 282, 3217, 1294, 286, 15392, 282, 772, 6211, 16, 0, 510, 3293, 1604, 2865, 17266, 1914, 16, 188, 2943, 20218, 4255, 561, 274, 520, 4507, 9, 2342, 14, 345, 6705, 254, 17266, 6437, 274, 3686, 328, 520, 1193, 16, 188, 2943, 254, 9475, 900, 17266, 2906, 14, 254, 1401, 13802, 16, 188, 2345, 546, 1652, 248, 34182, 670, 701, 900, 327, 17266, 43654, 282, 14430, 616, 9749, 16, 188, 57, 1047, 311, 1480, 17266, 248, 7854, 324, 248, 6676, 434, 7786, 4658, 16, 188, 42, 7687, 7514, 311, 248, 6268, 668, 272, 17129, 2073, 17898, 276, 8514, 9496, 663, 4699, 248, 2545, 343, 254, 4347, 274, 36938, 8809, 16, 1691, 807, 563, 3320, 33, 13794, 254, 18597, 16, 188, 2432, 403, 642, 29383, 274, 17266, 16, 0, 24306, 3432, 457, 86, 1438, 9564, 16, 1223, 348, 254, 330, 4481, 4351, 7602, 5069, 85, 14, 1093, 274, 441, 5346, 403, 6459, 343, 254, 10840, 314, 395, 4395, 28102, 11, 4686, 274, 11530, 286, 20802, 695, 1294, 16, 1838, 324, 1093, 274, 368, 663, 6429, 441, 276, 8389, 254, 1157, 3694, 14, 1045, 457, 85, 248, 1581, 25098, 14148, 328, 254, 8756, 19584, 815, 2168, 327, 311, 2591, 8899, 276, 254, 330, 4481, 4351, 16, 839, 457, 251, 2056, 368, 476, 14190, 16, 188, 19, 20, 16, 2028, 633, 3132, 2517, 4424, 9645, 3, 188, 1516, 16, 1638, 16, 388, 1805, 780, 16, 16144, 15514, 359, 3435, 3, 0, 9606, 624, 931, 668, 3382, 395, 406, 16, 188, 44367, 456, 2586, 1294, 311, 338, 21, 25, 14, 23, 20, 27, 16, 18, 24, 16, 188, 6942, 282, 30569, 37706, 24471, 3382, 395, 406, 16, 318, 16, 344, 311, 16571, 1162, 338, 25, 14, 21, 23, 21, 276, 254, 1499, 286, 16, 18, 18, 25, 22, 19, 274, 4022, 7142, 4076, 4010, 16, 188, 36, 3504, 9289, 28, 496, 4257, 338, 27, 24, 26, 14, 19926, 1460, 286, 14612, 319, 5044, 314, 344, 395, 406, 11, 369, 4307, 8697, 348, 248, 628, 274, 254, 8620, 28950, 5329, 286, 7028, 276, 5692, 286, 10017, 314, 344, 82, 340, 481, 0, 23693, 731, 6788, 731, 457, 85, 24566, 256, 3, 188, 43, 457, 307, 1289, 1603, 7674, 310, 1848, 457, 86, 747, 14, 286, 436, 580, 311, 641, 6343, 16, 380, 4793, 12287, 687, 387, 38030, 1228, 401, 4072, 9024, 436, 7315, 328, 615, 6567, 3135, 16, 188, 510, 5527, 2956, 328, 4028, 576, 14, 593, 310, 457, 79, 248, 1603, 1842, 3447, 16, 1583, 27341, 29, 310, 476, 1242, 2966, 286, 785, 353, 713, 2470, 16, 188, 1516, 2065, 248, 3183, 24738, 40129, 328, 254, 6567, 3135, 274, 272, 597, 15, 395, 15, 4066, 6244, 24944, 26070, 663, 669, 6395, 282, 321, 248, 5258, 3306, 16, 188, 2899, 9024, 254, 7315, 274, 248, 20219, 264, 286, 520, 21647, 3089, 628, 276, 2628, 3134, 254, 5935, 573, 1635, 282, 10120, 254, 4422, 314, 250, 254, 5258, 5935, 14, 436, 1479, 274, 2628, 2497, 311, 7541, 1873, 348, 769, 779, 20219, 264, 706, 38665, 457, 85, 1991, 2757, 2414, 666, 390, 769, 779, 20219, 264, 706, 38665, 457, 85, 7164, 16035, 1397, 826, 2497, 40955, 682, 1004, 802, 274, 2497, 407, 254, 4422, 14, 286, 311, 272, 7760, 3931, 328, 254, 5935, 457, 85, 16367, 274, 3134, 481, 188, 10, 6128, 348, 248, 40145, 43, 14, 626, 311, 669, 1495, 2497, 276, 248, 2013, 17214, 327, 311, 6117, 282, 348, 769, 779, 6240, 1991, 2757, 2414, 666, 390, 769, 779, 6240, 7164, 16035, 20728, 188, 6004, 310, 457, 79, 387, 353, 14, 1315, 479, 669, 4017, 254, 440, 37472, 327, 276, 1125, 5258 ]

[ 1, 7943, 24, 18, 18, 2945, 8141, 324, 254, 416, 19, 18, 18, 13153, 587, 2683, 328, 18187, 2155, 7747, 30054, 2218, 282, 13563, 457, 85, 11089, 286, 8700, 7681, 16, 188, 8465, 2065, 254, 22679, 9274, 5968, 254, 5793, 2378, 1321, 7935, 1143, 276, 248, 5427, 30054, 2133, 16, 3774, 33059, 2120, 8075, 276, 436, 10544, 2104, 14, 254, 5427, 7102, 452, 9681, 756, 7943, 20, 19, 2945, 274, 254, 7943, 24, 18, 18, 2945, 327, 353, 369, 5968, 650, 321, 900, 282, 7065, 436, 2133, 16, 188, 510, 41242, 587, 321, 1143, 597, 274, 1241, 9670, 3551, 343, 3605, 13563, 14, 533, 3672, 4814, 317, 14, 6700, 254, 6081, 3768, 274, 8141, 387, 7943, 21, 26, 22, 2945, 16, 188, 30687, 436, 2065, 254, 30938, 9274, 324, 254, 32890, 35549, 286, 28516, 2279, 14, 401, 25291, 444, 7503, 354, 4210, 14, 4025, 282, 512, 1922, 8826, 11213, 282, 2445, 343, 11930, 6851, 282, 2247, 254, 416, 19, 18, 18, 13153, 286, 695, 3373, 2362, 13563, 16, 188, 1590, 8465, 2065, 254, 22679, 9274, 5968, 254, 5793, 2378, 1321, 7935, 1143, 276, 248, 5427, 30054, 2133, 16, 3774, 33059, 2120, 8075, 276, 436, 10544, 2104, 14, 254, 5427, 7102, 452, 9681, 756, 7943, 20, 19, 2945, 274, 254, 7943, 24, 18, 18, 2945, 7527, 407, 254, 19637, 16, 188, 1590, 43, 715, 24697, 343, 254, 17449, 7102, 457, 85, 15251, 327, 254, 3196, 3298, 274, 254, 416, 19, 18, 18, 13153, 587, 2232, 7935, 830, 353, 311, 944, 2961, 1091, 276, 772, 11089, 7681, 16, 188, 1590, 43, 3409, 254, 436, 3196, 3298, 274, 254, 416, 19, 18, 18, 13153, 587, 452, 248, 2675, 3373, 328, 254, 11089, 7681, 274, 4814, 317, 3561, 286, 310, 715, 13488, 327, 254, 17449, 7102, 311, 7527, 282, 2367, 2292, 343, 1922, 8826, 328, 436, 1726, 2563, 16, 0, 6690, 593, 15, 8661, 7306, 6181, 1038, 625, 1364, 1034, 2151, 282, 321, 2458, 3468, 14, 532, 360, 865, 596, 2159, 407, 615, 2456, 16, 188, 4369, 9791, 1789, 747, 10633, 14, 282, 1623, 1887, 1789, 747, 10833, 16, 3699, 1640, 3638, 324, 12575, 819, 1733, 15, 7330, 5135, 311, 2025, 37732, 14, 17731, 20376, 434, 6036, 912, 19224, 14, 533, 5085, 561, 843, 2245, 14, 671, 286, 12571, 785, 16, 188, 686, 642, 2906, 14, 1612, 26934, 274, 2245, 286, 671, 476, 825, 30193, 16, 347, 1982, 2245, 286, 671, 403, 2593, 1013, 14, 596, 476, 10636, 6168, 928, 2225, 18146, 29096, 1292, 387, 12810, 2341, 2421, 276, 8358, 365, 16, 347, 2515, 368, 476, 2706, 7306, 2245, 15, 3078, 811, 348, 368, 476, 2706, 7306, 6181, 449, 188, 1253, 434, 624, 14, 603, 353, 434, 1841, 324, 836, 26934, 282, 825, 14, 368, 476, 11882, 327, 596, 587, 16, 347, 686, 6146, 11731, 14, 603, 1594, 311, 417, 24582, 14, 353, 7723, 6395, 343, 688, 1303, 15, 10252, 5744, 928, 2225, 13280, 39347, 258, 5746, 274, 18668, 32757, 2421, 276, 9438, 14, 13686, 16, 188, 2515, 353, 434, 417, 811, 6181, 286, 28696, 12779, 327, 476, 14101, 276, 286, 561, 274, 2631, 1232, 28, 26934, 274, 2245, 15, 2523, 476, 513, 254, 1057, 16, 11389, 14, 353, 3032, 747, 248, 1887, 25530, 432, 272, 45161, 1925, 2245, 15, 2523, 18695, 282, 248, 7656, 10056, 327, 14120, 338, 18, 18, 6320, 10833, 16, 33626, 14, 1002, 603, 248, 18695, 4307, 14, 353, 650, 321, 37007, 282, 15099, 959, 276, 254, 25062, 274, 272, 4977, 33, 188, 510, 2843, 311, 327, 14, 248, 6734, 274, 248, 1250, 841, 254, 7757, 13941, 14, 254, 6146, 15, 10037, 18695, 274, 2245, 11528, 332, 484, 423, 3955, 3684, 16, 496, 272, 15645, 4713, 2687, 14, 353, 2350, 432, 1129, 4434, 683, 254, 13413, 274, 272, 12754, 282, 254, 1921, 274, 248, 13350, 274, 7340, 16, 2028, 254, 7270, 4574, 27833, 14, 254, 3377, 1631, 327, 573, 19753, 353, 369, 13286, 713, 254, 2563, 286, 2269, 327, 7325, 254, 10056, 2966, 16, 443, 2998, 5674, 15196, 347, 779, 12209, 1903, 10864, 3333, 188, 47024, 434, 3638, 274, 2025, 37732, 8375, 441, 327, 254, 2245, 15, 2523, 360, 3051, 276, 807, 1354, 1241, 1015, 4797, 16, 731, 807, 321, 348, 6333, 348, 248, 2741, 1708, 16, 731, 807, 6783, 888, 328, 3038, 747, 254, 2471, 274, 248, 14845, 14, 276, 533, 1068, 603, 368, 4149, 2019, 2151, 276, 254, 1057, 3758, 368, 650, 980, 597, 888, 830, 368, 2956, 16, 19957, 14, 2245, 15, 2523, 807, 6783, 21988, 747, 248, 25860, 16, 1838, 533, 311, 353, 33, 188, 2515, 282, 1074, 561, 603, 254, 10056, 311, 6333, 14, 360, 872, 282, 2475, 254, 14236, 274, 248, 1623, 1887, 18490, 16, 2003, 434, 830, 15196, 3144, 276, 16, 731, 3303, 254, 3278, 1921, 274, 254, 33283, 286, 27582, 19811, 276, 254, 22425, 22501, 3981, 16, 8995, 19811, 497, 3948, 276, 374, 18, 18, 21, 14, 286, 327, 3419, 33781, 398, 248, 5278, 274, 29035, 16, 1260, 248, 898, 14, 360, 865, 327, 328, 254, 6081, 24001, 4172, 772, 10056, 311, 6333, 16, 188, 1130, 7613, 561, 327, 248, 6333, 10056, 311, 9308, 16, 2003, 434, 974, 756, 248, 6333, 10056, 311, 2692, 282, 452, 1663, 432, 2631, 16, 188, 6972, 852, 254, 10056, 751, 512, 436, 2269, 33, 378, 15424, 5159, 14, 353, 774, 417, 452, 573, 282, 751, 665, 16, 2003, 434, 974, 1033, 1740, 276, 254, 10056, 10238, 12571, 14, 13864, 642, 4960, 2502, 353, 16, 826, 38658, 254, 2269, 2961, 282, 2706, 254, 2563, 276, 254, 801, 1619, 16, 188, 1130, 434, 248, 2298, 747, 272, 1668, 15, 33681, 10225, 4172, 16, 1395, 476, 1649, 248, 5374, 2713, 328, 580, 1874, 14, 593, 1034, 348, 353, 311, 16186, 407, 272, 4363, 2713, 328, 254, 642, 16, 496, 254, 1068, 274, 254, 10056, 14, 254, 2563, 4424, 328, 580, 1874, 274, 254, 4172, 14, 286, 555, 282, 321, 16186, 407, 12571, 16, 188, 1853, 2486, 360, 1038, 625, 452, 1837, 1885, 327, 642, 6791, 266, 2159, 16, 1268, 1996, 1026, 14, 836, 5532, 1862, 248, 2560, 743, 4355, 282, 254, 12270, 347, 7849, 324, 2631, 3333, 0, 1843, 669, 348, 248, 628, 274, 254, 15471, 14550, 14, 248, 6338, 899, 267, 2371 ]

[ 1, 7228, 14, 16919, 14, 2086, 457, 85, 39414, 14, 6707, 2244, 14, 15411, 2244, 286, 624, 536, 188, 42851, 15, 484, 14166, 1146, 576, 24, 24, 33417, 16, 648, 16, 428, 813, 24, 27, 33417, 16, 648, 16, 0, 72, 17107, 8255, 250, 470, 19, 26859, 437, 511, 5092, 3051, 32356, 1204, 16, 10903, 1275, 54, 16, 3122, 11542, 16, 7927, 28907, 90, 5092, 16, 188, 19433, 7106, 4870, 25, 24, 44, 8806, 41, 635, 75, 53, 20500, 19, 36208, 45650, 43040, 4437, 35, 759, 981, 2433, 384, 275, 954, 44, 8806, 41, 635, 75, 53, 20500, 19, 46077, 76, 1169, 35, 759, 981, 2433, 384, 275, 600, 72, 570, 18, 27, 954, 79, 9356, 5616, 46, 6654, 6539, 55, 23, 53, 2605, 466, 23958, 46, 2736, 5970, 14667, 4387, 29312, 24, 27, 954, 5025, 16162, 37, 820, 46, 727, 560, 91, 56, 6422, 67, 15518, 37368, 5025, 16162, 37, 820, 954, 57, 423, 654, 662, 1688, 36, 9356, 45, 737, 36208, 45650, 43040, 4437, 2721, 4951, 36738, 25031, 954, 79, 9356, 5616, 29312, 91, 44, 359, 466, 43, 392, 266, 15954, 37660, 2200, 7278, 5920, 954, 48, 20294, 283, 52, 2299, 67, 58, 44138, 91, 46, 2736, 45677, 19830, 35, 315, 37, 41600, 954, 36, 2611, 3745, 5061, 6367, 36, 2611, 3745, 5061, 6367, 43319, 30625, 1934, 20393, 22908, 11542, 954, 42968, 91, 52, 5832, 334, 3125, 91, 491, 251, 13199, 43843, 24144, 8450, 466, 44602, 954, 46, 6654, 6539, 55, 23, 43, 392, 266, 15954, 46, 727, 560, 91, 7703, 68, 19, 71, 53, 11754, 5646, 954, 20034, 77, 38, 1829, 38, 1829, 35, 544, 15661, 3149, 8504, 38019, 405, 91, 46, 2736, 954, 188, 53, 2605, 466, 23958, 46, 2736, 1207, 27198, 560, 776, 39, 68, 2344, 54, 266, 23958, 1128, 5576, 58, 25031, 954, 16343, 1779, 4100, 5106, 46, 727, 560, 91, 42968, 91, 52, 5832, 334, 600, 72, 570, 18, 27, 954, 8450, 466, 44602, 33202, 45736, 6539, 24, 27, 19296, 19294, 2554, 37, 9216, 42968, 91, 52, 5832, 334, 954, 43237, 18943, 56, 3484, 58, 2345, 29092, 9534, 885, 17671, 10876, 50, 466, 15600, 28907, 90, 5092, 954, 9088, 312, 395, 69, 710, 268, 9088, 312, 395, 69, 710, 268, 44, 2278, 4100, 6691, 42, 30098, 1176, 4834, 91, 1229, 17612, 46, 954, 20034, 77, 38, 1829, 44, 8806, 41, 635, 75, 53, 20500, 19, 46, 727, 560, 91, 13975, 46026, 293, 954, 29675, 85, 36, 462, 39041, 2515, 6669, 7703, 68, 19, 71, 53, 11754, 5646, 6230, 9385, 5319, 46, 18696, 20, 37, 5367, 954, 12878, 91, 49, 8477, 33202, 45736, 6539, 24, 27, 44, 2278, 4100, 6691, 42, 2339, 15639, 47, 6553, 954, 19433, 7106, 4870, 25, 24, 28857, 1275, 17747, 1344, 75, 42839, 1119, 268, 4271, 318, 406, 12018, 954, 20, 20393, 8246, 654, 22, 55, 19296, 19294, 2554, 37, 9216, 29312, 91, 44, 359, 466, 3722, 8810, 13270, 277, 251, 954, 9088, 312, 395, 69, 710, 268, 44005, 29312, 5092, 24, 27, 39, 68, 2344, 54, 266, 46, 334, 3990, 27885, 1578, 954, 0, 4412, 4703, 360, 457, 70, 321, 276, 254, 2504, 324, 248, 1603, 1842, 14, 500, 457, 85, 37322, 255, 12129, 441, 282, 520, 1683, 328, 767, 6558, 282, 2445, 597, 324, 248, 1362, 7213, 282, 27791, 16, 33260, 343, 756, 248, 3588, 286, 641, 2634, 3520, 274, 254, 2758, 314, 8915, 324, 254, 38738, 2380, 11, 360, 13556, 276, 254, 1096, 286, 867, 742, 328, 272, 15425, 16, 2646, 248, 1603, 47311, 1774, 387, 254, 6023, 4516, 14, 1648, 17424, 85, 324, 254, 1515, 12048, 314, 2965, 328, 327, 1938, 11, 286, 248, 9568, 247, 1085, 2139, 14, 360, 4574, 12317, 387, 254, 8307, 8258, 31836, 16, 188, 686, 1596, 282, 695, 35534, 19336, 975, 14, 27791, 311, 254, 1683, 274, 272, 10142, 35645, 274, 7179, 654, 286, 16527, 16, 31477, 4684, 282, 751, 3542, 1045, 974, 626, 434, 282, 1181, 282, 915, 286, 513, 282, 1623, 2035, 16, 839, 8288, 1828, 328, 248, 31905, 286, 2263, 276, 254, 8418, 10066, 432, 254, 1773, 1063, 15468, 276, 11556, 27714, 457, 85, 367, 38157, 286, 4419, 772, 1026, 1444, 16, 0, 40, 24731, 266, 29603, 311, 248, 580, 15, 1153, 15, 67, 15, 10962, 1360, 274, 16961, 15, 2867, 4776, 2697, 714, 371, 301, 285, 432, 25035, 714, 371, 301, 2684, 2939, 38860, 401, 252, 1662, 67, 286, 427, 2206, 338, 19, 22, 24, 16, 1180, 254, 338, 26, 10244, 14, 714, 371, 8579, 311, 34637, 286, 3893, 10375, 16, 496, 254, 2379, 8435, 274, 14752, 14, 254, 6309, 659, 497, 4255, 282, 248, 27582, 14, 20210, 41746, 4189, 16, 826, 14997, 714, 371, 8579, 311, 254, 16693, 2066, 276, 254, 1499, 2966, 16, 3467, 377, 1723, 638, 1106, 7831, 2045, 403, 247, 3060, 407, 27178, 274, 28076, 14, 8293, 8392, 14, 286, 3524, 13962, 16, 0, 35, 17149, 324, 295, 15, 8397, 273, 282, 9113, 286, 254, 12059, 16, 188, 1853, 1125, 274, 368, 865, 14, 254, 1274, 250, 994, 311, 248, 671, 274, 295, 15, 25001, 14, 28894, 286, 44953, 274, 1668, 2269, 16, 330, 1247, 1026, 282, 16545, 436, 2269, 5176, 311, 343, 248, 38904, 5251, 5818, 8754, 17149, 16, 826, 8754, 311, 25245, 282, 3944, 340, 14, 38904, 1392, 14, 20049, 286, 33196, 759, 328, 254, 3405, 14, 8756, 286, 12096, 1245, 16, 731, 457, 85, 669, 248, 1247, 1026, 282, 3555, 258, 286, 32030, 459, 254, 4458, 343, 4684, 16, 188, 48, 454, 6247, 5818, 4268, 343, 34030, 14, 28345, 286, 38961, 16, 188, 686, 24946, 4220, 12895, 324, 3655, 9694, 432, 5818, 516, 6997, 1915, 14, 747, 39953, 14, 2977, 14, 5548, 7501, 258, 4770, 14, 8609, 14, 10414, 14, 20346, 5728, 14, 2977, 14, 43794, 14, 3838, 16, 188, 12, 22758, 248, 16688, 274, 13857, 5980, 29998, 314, 70, 15312, 14, 4402, 75, 14, 260, 518, 482, 11, 713, 248, 8350, 390, 37857, 649, 6057, 282, 2706, 248, 11370, 16, 188, 10568, 1890, 328, 5818, 1921, 368, 457, 619, 872, 282, 4432, 6169, 15236, 16, 188, 12510, 353, 597, 248, 37487, 286, 15932, 14129, 274, 5980, 29998, 1209, 80, 8656, 328, 633, 25095, 286, 8846, 282, 2490, 33196, 8692, 16, 188, 40455, 248 ]

[ 1, 813, 18, 4945, 4479, 282, 8838, 385, 15, 2641, 13207, 2874, 343, 688, 274, 2966, 434, 944, 1726, 5342, 286, 8189, 15, 4768, 3265, 16, 188, 23471, 3, 731, 457, 85, 888, 959, 286, 8522, 286, 1755, 683, 2378, 16, 826, 311, 254, 3138, 295, 3719, 274, 254, 2142, 457, 85, 944, 7656, 271, 753, 80, 776, 5095, 17436, 6915, 16, 1270, 10947, 495, 20, 23, 2135, 7180, 16, 31878, 924, 2545, 28302, 14, 3609, 14, 2014, 14, 785, 14, 3026, 14, 286, 1181, 624, 16, 0, 36, 664, 361, 706, 40095, 3473, 5473, 2380, 785, 276, 12839, 648, 252, 14, 15372, 16, 1260, 248, 2057, 15, 10337, 8322, 21663, 9169, 254, 12839, 648, 252, 2104, 1544, 338, 27, 24, 18, 14, 360, 403, 633, 563, 15, 927, 8322, 9804, 16, 1286, 368, 872, 8715, 2497, 432, 272, 5473, 753, 14, 772, 2214, 274, 687, 338, 18, 18, 311, 9884, 16, 2028, 368, 1074, 272, 11243, 5527, 286, 368, 457, 251, 417, 2056, 663, 282, 1052, 14, 1052, 441, 16, 4186, 6191, 286, 37570, 24119, 390, 12660, 15197, 14, 282, 3183, 47473, 390, 10969, 286, 4242, 2896, 24119, 16, 188, 21511, 633, 2545, 8460, 3256, 15270, 272, 19001, 390, 254, 2150, 286, 12343, 274, 248, 3316, 8322, 975, 324, 633, 12839, 648, 252, 1683, 390, 2072, 14, 360, 785, 282, 5256, 7528, 12852, 16, 839, 403, 16753, 14, 29654, 286, 18859, 276, 254, 2341, 274, 15372, 324, 633, 6158, 274, 2482, 16, 188, 36, 664, 361, 286, 40095, 3473, 5961, 512, 9104, 274, 15803, 286, 6092, 8322, 785, 276, 12839, 648, 252, 14, 1648, 12660, 15197, 14, 20398, 14, 16972, 24119, 14, 6191, 24119, 14, 1656, 6540, 15197, 14, 10046, 273, 2150, 14, 5415, 14, 10969, 14, 706, 931, 24119, 14, 3860, 15197, 14, 18847, 74, 22220, 286, 45492, 5210, 24119, 14, 757, 15740, 15197, 14, 286, 5473, 5212, 32972, 16, 188, 36, 664, 361, 286, 40095, 3473, 20537, 10743, 12839, 648, 252, 14, 15372, 314, 7219, 11, 276, 374, 19, 19, 19, 22, 16, 839, 3831, 17511, 5473, 2380, 324, 1081, 15803, 286, 6092, 6211, 4619, 254, 12839, 648, 252, 2104, 16, 0, 11252, 9157, 12913, 1220, 650, 1041, 248, 3183, 7605, 2815, 19682, 6450, 4611, 3, 731, 1817, 321, 3837, 4344, 282, 915, 436, 9478, 276, 1491, 1464, 276, 836, 9569, 16, 310, 2602, 747, 353, 3136, 248, 2298, 14, 327, 434, 2075, 310, 4904, 353, 597, 3, 0, 3380, 361, 2627, 910, 5961, 248, 4474, 2413, 274, 3556, 13164, 286, 3556, 12343, 3134, 282, 772, 6211, 276, 43151, 16, 839, 669, 2650, 286, 8478, 3556, 30547, 16, 1993, 476, 321, 3960, 286, 933, 321, 11298, 282, 4598, 14, 593, 603, 368, 1141, 368, 452, 1840, 14, 1862, 441, 248, 1052, 16, 0, 11000, 24909, 476, 8107, 763, 3065, 24909, 476, 8107, 3065, 24909, 476, 8107, 343, 5372, 16033, 16, 188, 11000, 24909, 476, 8107, 3065, 24909, 476, 8107, 39034, 17169, 867, 324, 2653, 5553, 343, 5372, 299, 2280, 8352, 5158, 8392, 8553, 8350, 10062, 476, 2067, 3065, 24909, 476, 8107, 867, 16, 188, 11000, 24909, 476, 8107, 3065, 24909, 10062, 8350, 8392, 476, 8107, 3065, 8350, 476, 2067, 24909, 8350, 476, 2067, 24909, 8350, 8121, 3065, 24909, 476, 8107, 16, 188, 11000, 24909, 476, 8107, 2815, 1470, 3065, 24909, 476, 8107, 324, 7096, 16, 188, 11000, 24909, 476, 8107, 279, 1169, 20518, 476, 2067, 867, 24909, 476, 8107, 867, 274, 576, 3065, 279, 1169, 20518, 8352, 476, 2067, 867, 3065, 24909, 476, 8107, 33914, 16, 188, 11000, 24909, 476, 8107, 8352, 476, 2067, 867, 24909, 3065, 24909, 476, 2067, 867, 24909, 476, 8107, 867, 274, 495, 2718, 3065, 3406, 9109, 3065, 24909, 476, 8107, 343, 13906, 299, 2280, 16, 188, 11000, 24909, 476, 8107, 495, 3065, 24909, 4996, 2426, 1487, 8352, 37857, 476, 2067, 39034, 6699, 2029, 35234, 260, 40982, 3065, 24909, 476, 8107, 867, 16, 188, 11000, 24909, 476, 8107, 448, 366, 1896, 3065, 24909, 476, 2067, 867, 3065, 24909, 476, 8107, 324, 7096, 16, 188, 11000, 24909, 476, 8107, 8352, 24909, 476, 8107, 5085, 13940, 1416, 8352, 476, 2067, 5085, 13393, 576, 2037, 67, 3065, 24909, 8352, 476, 2067, 867, 4647, 24909, 8352, 476, 2067, 5085, 3065, 24909, 476, 8107, 16, 188, 11000, 24909, 476, 8107, 3065, 24909, 476, 8107, 324, 254, 8352, 27026, 7047, 4647, 3065, 871, 4389, 19610, 24909, 8392, 476, 2067, 3065, 24909, 8352, 476, 2067, 5085, 16, 188, 11000, 24909, 476, 8107, 2537, 3065, 24909, 476, 8107, 3065, 24909, 476, 8107, 867, 16, 188, 11000, 24909, 476, 8107, 13700, 282, 1689, 5224, 4647, 286, 3065, 24909, 476, 2067, 867, 16, 188, 11000, 24909, 476, 8107, 3065, 24909, 8352, 476, 8107, 4647, 3065, 476, 2067, 867, 2718, 476, 2067, 867, 8352, 4678, 476, 8107, 1733, 8352, 476, 8107, 3065, 24909, 476, 8107, 343, 30231, 9927, 299, 2280, 16, 188, 11000, 24909, 476, 8107, 3065, 24909, 8352, 476, 8107, 3065, 24909, 8352, 476, 8107, 3065, 24909, 8352, 476, 8107, 476, 2067, 867, 2718, 286, 3065, 24909, 8352, 476, 8107, 3065, 24909, 476, 8107, 260, 16, 188, 11000, 24909, 476, 8107, 3065, 24909, 476, 8107, 742, 3065, 24909, 476, 8107, 16, 188, 11000, 24909, 476, 8107, 3065, 24909, 13823, 8352, 391, 5085, 1733, 1921, 274, 2653, 867, 4647, 286, 3065, 24909, 13823, 3065, 24909, 2653, 476, 8107, 16, 188, 11000, 24909, 476, 8107, 374, 274, 495, 1677, 18098, 867, 274, 495, 3065, 24909, 476, 8107, 448, 1711, 3065, 24909, 476, 8107, 33914, 16, 188, 11000, 24909, 476, 8107, 3065, 3065, 6106, 24909, 476, 2067, 867, 16, 188, 11000, 24909, 476, 8107, 29840, 24909, 476, 8107, 6814, 252, 389, 3065, 24909, 576, 3065, 476, 2067, 867, 3065, 6106, 24909, 476, 2067, 867, 16, 188, 11000, 24909, 476, 8107, 38182, 4502, 3065, 24909, 476, 2067, 476, 8107, 8121, 4829, 8352, 3065, 24909, 476, 8107, 33914, 16, 188, 11000, 24909, 476, 8107, 1733, 1921, 274, 8352, 5553, 8553, 10494, 10062, 8350, 8392, 5553, 39034, 495, 5158, 24909, 476, 2067, 2718, 286, 3065, 24909, 476, 2067, 867, 16, 188, 11000, 24909, 476, 8107, 2382, 274, 3065, 8352, 476, 2067, 867, 13511, 3065, 8352, 476, 8107, 324, 1525, 476, 2067, 5085, 3065, 3065, 24909, 8352, 476, 2067, 5085, 16, 188, 11000, 24909 ]

[ 1, 626, 403, 3956, 282, 513, 327, 343, 15662, 3189, 16, 354, 1126, 404, 254, 3065, 1872, 343, 440, 325, 38207, 8102, 14, 27599, 4678, 3828, 286, 21821, 446, 1207, 14, 286, 248, 3065, 6217, 5798, 15886, 16, 41384, 248, 14133, 13978, 15, 11390, 3189, 4680, 254, 45647, 14, 835, 22015, 343, 18183, 10040, 14, 37049, 14, 286, 27263, 16, 380, 898, 311, 248, 8352, 327, 8950, 2674, 1145, 1532, 268, 1269, 1129, 4196, 3065, 16, 188, 29985, 1146, 17488, 8352, 8700, 2741, 16, 5230, 8352, 8700, 11490, 16, 1330, 8352, 8700, 374, 32150, 16, 8352, 8700, 32150, 2104, 16, 4829, 8352, 8700, 2741, 16, 27599, 1708, 8352, 8700, 32150, 16, 17488, 3925, 8700, 16, 6106, 8352, 8700, 32150, 16, 1015, 8352, 17052, 16, 8352, 8700, 343, 332, 22944, 20645, 16, 188, 1031, 1206, 85, 328, 5945, 27613, 12268, 8029, 31913, 13171, 7042, 23144, 5065, 16497, 3775, 655, 1704, 255, 40028, 5153, 35299, 22861, 30938, 19905, 6055, 404, 26933, 9611, 11062, 5153, 31198, 273, 21067, 32002, 483, 401, 14420, 293, 323, 746, 14608, 15897, 30835, 8228, 33, 0, 33420, 11211, 9397, 706, 22596, 15174, 13223, 91, 22178, 569, 587, 2864, 1024, 2247, 254, 3860, 12387, 324, 45183, 14, 1527, 254, 3225, 7890, 276, 7580, 14, 387, 616, 12699, 21197, 706, 16027, 1402, 29123, 314, 50, 2229, 11, 343, 8825, 1673, 11047, 443, 3102, 2728, 328, 6612, 374, 18, 4452, 14, 338, 15, 21, 2534, 16, 496, 272, 4429, 343, 31158, 19571, 6645, 22178, 569, 34900, 254, 3418, 701, 587, 321, 7919, 282, 2234, 2728, 1648, 748, 3373, 836, 2169, 274, 3284, 452, 11841, 14, 1081, 276, 2349, 274, 254, 4681, 328, 46690, 286, 276, 44841, 665, 2365, 3015, 27986, 16, 188, 1590, 1130, 2427, 625, 1767, 748, 4448, 532, 353, 457, 85, 248, 2055, 276, 254, 977, 3758, 324, 3997, 666, 330, 1963, 311, 9375, 615, 9205, 282, 4419, 13843, 1527, 248, 32941, 387, 615, 1963, 1683, 276, 45183, 16, 13794, 1472, 3580, 286, 10826, 457, 85, 2835, 286, 1074, 561, 843, 1515, 264, 796, 8205, 555, 3849, 282, 2675, 5351, 869, 729, 286, 473, 619, 466, 14, 254, 26545, 16, 380, 2986, 555, 643, 4299, 1285, 5461, 11408, 264, 796, 8074, 12315, 14, 533, 11098, 6252, 8205, 10724, 2362, 254, 1499, 1663, 2292, 282, 6975, 11570, 274, 1515, 264, 796, 8205, 314, 52, 44, 11, 286, 695, 2675, 6786, 328, 1093, 5709, 407, 6442, 16, 188, 8504, 5707, 17153, 14, 38888, 11408, 264, 796, 8074, 15381, 324, 45183, 11118, 254, 11408, 264, 796, 8074, 1213, 286, 843, 353, 476, 1336, 1093, 5709, 407, 6442, 282, 8478, 254, 5083, 16, 188, 7639, 3751, 327, 348, 274, 4423, 374, 18, 19, 26, 254, 16077, 5471, 880, 621, 311, 641, 3248, 2066, 16, 1395, 476, 1074, 642, 1336, 286, 1305, 324, 8994, 6442, 1045, 16, 188, 50, 2564, 13223, 91, 22178, 569, 555, 9831, 248, 1321, 20549, 282, 915, 603, 8583, 403, 5320, 282, 2014, 272, 2982, 2332, 939, 615, 6284, 13291, 324, 46690, 276, 45183, 16, 32611, 282, 436, 4429, 14, 10397, 328, 14161, 19571, 14, 282, 1074, 561, 624, 668, 254, 7935, 18062, 286, 843, 368, 476, 452, 633, 1309, 16, 188, 1253, 513, 2784, 942, 1623, 1141, 274, 254, 3398, 33, 2003, 369, 254, 1897, 327, 369, 9325, 387, 254, 45183, 23033, 5240, 457, 85, 314, 13915, 37, 11, 2714, 5025, 1673, 35011, 457, 12304, 387, 254, 2371, 16046, 11909, 20611, 888, 276, 4257, 16, 380, 18509, 37, 457, 85, 495, 26, 2672, 14, 10375, 338, 23, 282, 374, 23, 14, 3443, 615, 4202, 286, 12298, 282, 687, 338, 23, 18, 12603, 327, 2818, 45183, 9397, 706, 22596, 15174, 13223, 91, 22178, 569, 14, 8825, 1673, 11047, 443, 3102, 2728, 16, 188, 5910, 274, 772, 45183, 22208, 398, 9, 5240, 314, 20248, 11, 2672, 3970, 7360, 343, 15071, 45183, 434, 22412, 35339, 14, 5859, 839, 262, 92, 14, 668, 615, 2472, 276, 254, 18563, 286, 843, 353, 311, 4782, 5498, 8583, 276, 254, 9382, 248, 4179, 328, 46690, 286, 6442, 16, 188, 37588, 12763, 311, 248, 1922, 18927, 533, 18248, 286, 8302, 15543, 282, 2411, 2714, 42342, 457, 286, 3831, 248, 2244, 276, 615, 1193, 8841, 282, 248, 2784, 20166, 1408, 16, 731, 3970, 2865, 248, 7943, 23, 14, 18, 18, 18, 8141, 3966, 432, 254, 367, 2564, 434, 10118, 1556, 276, 45183, 10696, 16, 13794, 436, 2094, 2986, 282, 1074, 561, 668, 12616, 12763, 434, 785, 286, 254, 2967, 353, 1143, 282, 7200, 14, 663, 369, 13952, 7036, 328, 254, 9931, 274, 44694, 16, 188, 1853, 628, 274, 8707, 255, 6317, 434, 6086, 45183, 22208, 398, 9, 5240, 314, 20248, 11, 3442, 286, 378, 903, 18077, 14147, 5018, 460, 9596, 369, 19527, 407, 11058, 5427, 5390, 668, 616, 2472, 276, 254, 18563, 286, 695, 6177, 282, 5498, 942, 276, 45183, 16, 5018, 460, 7360, 668, 616, 9664, 327, 5498, 942, 403, 2156, 12489, 286, 1143, 282, 1872, 327, 615, 6667, 1038, 625, 1359, 286, 616, 4328, 324, 1093, 663, 403, 6824, 390, 10801, 432, 41533, 16, 0, 41, 18106, 248, 10060, 3809, 248, 2187, 274, 1837, 785, 14, 533, 311, 2075, 353, 457, 85, 593, 28102, 670, 633, 6073, 403, 1129, 21507, 407, 269, 6478, 16, 32648, 403, 248, 6296, 324, 512, 3395, 274, 21703, 14, 1125, 274, 533, 403, 2602, 12557, 28, 12339, 25078, 14, 32401, 17493, 2918, 14, 14390, 27996, 14, 21481, 30508, 14, 286, 36444, 89, 721, 403, 2124, 254, 21703, 327, 403, 2696, 9123, 276, 10060, 12274, 16, 12182, 14, 1125, 642, 3395, 274, 269, 6478, 403, 19063, 282, 22580, 286, 933, 321, 7110, 4400, 286, 15353, 1269, 5083, 273, 633, 10060, 16, 188, 10949, 4059, 10665, 28, 1993, 403, 27458, 7854, 14129, 327, 3709, 6073, 276, 254, 10060, 1269, 916, 967, 273, 729, 14, 14809, 254, 10060, 432, 1330, 269, 6478, 286, 21703, 16, 188, 26448, 5279, 19927, 28, 2640, 633, 6073, 5279, 1788, 3112, 14, 21703, 774, 452, 248, 11820, 671, 4419, 615, 8778, 11176, 286, 403, 624, 7136, 282, 615, 34845, 16, 188, 3380, 386, 12557, 16401, 6073, 28, 33808, 26556, 286, 6073, 14, 819, 348, 16936, 390, 34508, 14, 452, 248, 2196, 40453, 327, 2893, 963, 282, 1920, 248, 5081, 274, 21703, 1919, 16 ]

[ 1, 18620, 378, 13207, 4595, 314, 294, 40527, 34, 22903, 16, 679, 11, 188, 5, 826, 2063, 311, 276, 254, 1321, 4877, 188, 5, 2438, 11011, 188, 3933, 17880, 1369, 4756, 30354, 188, 2855, 295, 534, 188, 5, 1676, 12285, 324, 10752, 17, 16662, 971, 2472, 2426, 16, 188, 5, 444, 16, 73, 16, 1146, 1554, 29264, 1139, 66, 428, 801, 8987, 1361, 311, 347, 1554, 985, 1250, 1361, 311, 347, 1139, 4, 188, 5, 188, 13554, 1791, 65, 11669, 4100, 426, 295, 16, 25166, 10, 84, 5141, 1023, 89, 13, 2192, 66, 10, 5027, 66, 63, 5463, 66, 3291, 188, 188, 22795, 20381, 426, 4756, 30354, 2012, 22795, 20381, 1358, 684, 1554, 9162, 3291, 534, 188, 1510, 13882, 899, 10, 5826, 14, 13689, 14, 27454, 31, 5296, 2192, 477, 11916, 1477, 477, 11916, 477, 9162, 426, 1470, 16, 27665, 1465, 1800, 46867, 958, 403, 5802, 428, 360, 872, 282, 7950, 4373, 729, 282, 751, 4960, 16, 477, 27454, 426, 543, 50, 10, 5826, 14, 13689, 11, 324, 367, 276, 27454, 63, 1465, 1800, 41807, 254, 9162, 282, 32079, 477, 32079, 426, 295, 16, 8909, 10, 84, 11355, 80, 62, 80, 13, 1358, 9162, 11, 477, 324, 883, 14, 269, 276, 47859, 10, 41849, 85, 2192, 647, 32079, 61, 75, 63, 426, 20453, 82, 27155, 558, 269, 16, 13114, 2012, 62, 80, 1358, 684, 45187, 558, 41872, 82, 27155, 1465, 9162, 426, 17600, 80, 62, 80, 5813, 13575, 10, 41849, 85, 11, 1465, 1800, 9720, 9253, 276, 254, 9162, 16, 12761, 248, 1581, 274, 4105, 14, 830, 1004, 477, 1800, 628, 311, 1996, 2426, 327, 555, 641, 9253, 276, 353, 14, 390, 248, 26777, 20381, 477, 1800, 1740, 16, 477, 799, 426, 470, 477, 4105, 426, 7954, 477, 1205, 11475, 28, 647, 3637, 426, 16177, 1791, 65, 11669, 4100, 16, 8488, 10, 27665, 14, 799, 11, 647, 603, 3637, 311, 8037, 28, 926, 4105, 16, 9436, 10, 27665, 61, 983, 28, 3185, 926, 2654, 647, 4105, 16, 9436, 10, 27665, 61, 983, 28, 8757, 16, 5318, 1067, 3185, 647, 4105, 16, 9436, 10, 22795, 20381, 10, 8757, 16, 4259, 10, 19, 581, 3637, 16, 4259, 10, 20, 10409, 647, 799, 426, 3637, 16, 423, 1067, 1465, 1800, 25763, 27454, 282, 765, 328, 9253, 477, 324, 883, 14, 628, 276, 47859, 10, 30238, 2192, 647, 603, 45442, 10, 1945, 14, 26777, 20381, 2192, 926, 4105, 61, 75, 63, 426, 791, 16430, 65, 13114, 65, 13946, 10, 6421, 628, 16, 1554, 14, 628, 16, 27665, 14, 27454, 11, 1465, 1800, 10814, 2057, 9162, 888, 959, 14, 286, 1602, 27454, 282, 765, 328, 477, 1800, 9162, 16, 477, 9162, 426, 684, 5813, 13575, 10, 30238, 11, 477, 324, 269, 276, 27454, 28, 647, 9162, 65, 18644, 426, 269, 16, 784, 65, 27665, 65, 18644, 1067, 647, 603, 9162, 65, 18644, 28, 926, 9162, 426, 9162, 65, 18644, 10, 27665, 11, 1465, 1076, 9162, 534, 188, 1510, 791, 16430, 65, 13114, 65, 13946, 10, 1554, 14, 9162, 14, 27454, 2192, 477, 11916, 380, 801, 14769, 327, 21463, 436, 2472, 311, 900, 16, 477, 11916, 477, 324, 269, 276, 27454, 28, 647, 2472, 65, 18644, 426, 269, 16, 784, 65, 13946, 65, 18644, 10, 1554, 11, 647, 603, 2472, 65, 18644, 28, 926, 1076, 2472, 65, 18644, 10, 27665, 11, 477, 1800, 1286, 641, 14769, 10602, 436, 2472, 311, 1102, 14, 1076, 695, 3132, 825, 477, 1076, 684, 40285, 18, 16689, 66, 93, 19, 95, 66, 5813, 7910, 10, 1554, 14, 9162, 11, 2670, 0, 5, 33544, 11598, 17, 4655, 17, 12196, 15118, 21, 188, 5, 43384, 21576, 28, 17914, 15, 26, 428, 12, 188, 188, 2855, 7481, 188, 2855, 11555, 188, 2855, 2424, 262, 188, 188, 10134, 16, 3839, 16, 9436, 10, 375, 16, 3839, 16, 13575, 10, 375, 16, 258, 2335, 4862, 22116, 65, 35032, 15993, 684, 4514, 17, 18723, 188, 2855, 20230, 21872, 188, 188, 10134, 16, 3839, 16, 9436, 10, 375, 16, 3839, 16, 13575, 10, 375, 16, 258, 2335, 4862, 22116, 65, 4495, 14081, 15993, 684, 14418, 18723, 188, 188, 3933, 26777, 65, 8006, 1369, 2706, 65, 4396, 65, 5310, 14, 12566, 65, 4396, 65, 5310, 14, 751, 65, 6799, 65, 15349, 65, 13389, 14, 728, 65, 15323, 188, 188, 5238, 65, 26622, 426, 20230, 21872, 16, 5985, 21872, 1067, 188, 188, 84, 65, 1467, 426, 3476, 65, 26622, 16, 784, 65, 433, 262, 65, 21974, 1551, 1254, 8674, 65, 8674, 2719, 188, 5238, 65, 26622, 426, 8037, 188, 188, 339, 4623, 1554, 870, 2224, 347, 870, 7073, 870, 1356, 1465, 1800, 2706, 2472, 65, 3434, 477, 603, 417, 391, 65, 1467, 16, 18830, 2012, 646, 28, 455, 65, 13946, 45098, 647, 391, 65, 1467, 16, 92, 1855, 2012, 646, 28, 455, 65, 13946, 1358, 338, 14, 684, 15349, 3291, 647, 391, 65, 1467, 16, 92, 1855, 2012, 646, 28, 455, 65, 13946, 1358, 374, 14, 684, 28903, 297, 3291, 647, 391, 65, 1467, 16, 92, 1855, 2012, 646, 28, 455, 65, 13946, 1358, 495, 14, 684, 4396, 3291, 647, 391, 65, 1467, 16, 92, 1855, 2012, 646, 28, 455, 65, 13946, 1358, 576, 14, 684, 4396, 65, 2295, 65, 6505, 3291, 647, 391, 65, 1467, 16, 92, 1855, 2012, 646, 28, 455, 65, 13946, 1358, 607, 14, 684, 1073, 65, 7286, 3291, 1465, 21749, 426, 684, 15349, 34, 15349, 16, 2484, 9, 477, 9607, 426, 728, 65, 15323, 1067, 477, 603, 391, 65, 1467, 16, 18830, 2012, 4396, 65, 20904, 28, 15349, 34, 15349, 16, 2484, 45098, 647, 12566, 65, 4396, 65, 5310, 10, 19150, 14, 9607, 31, 15323, 14, 2472, 5313, 15349, 3291, 477, 1952, 28, 647, 2706, 65, 4396, 65, 5310, 10, 19150, 14, 9607, 14, 2472, 5313, 15349, 1358, 4145, 31, 4937, 11, 477, 10391, 426, 751, 65, 6799, 65, 15349, 65, 13389, 1067, 1465, 4145, 65, 5691, 13682, 65, 3039, 426, 7481, 16, 3839, 16, 13575, 10, 375, 16, 258, 2335, 4862, 22116, 65, 29755, 15993, 684, 24576, 65, 24845, 25116, 3291, 477, 282, 65, 6171, 65, 1320, 426, 24927, 43672, 39799, 407, 4145, 62, 80, 5, 826, 1819, 311, 16275, 841, 254, 801, 15718, 62, 80, 5, 62, 80, 12460, 31, 15349, 34, 15349, 16, 2484, 62, 80 ]

[ 1, 485, 11, 647, 9052, 426, 1581, 10, 12243, 16, 39375, 6472, 647, 1827, 16, 32793, 10, 4874, 10, 39375, 581, 338, 20, 11, 647, 324, 4873, 276, 9052, 28, 926, 1827, 16, 8052, 2433, 10961, 10, 12700, 14, 30214, 11, 926, 1827, 16, 32793, 10, 4874, 10, 12700, 581, 374, 11, 926, 1827, 16, 8052, 4937, 10, 262, 14552, 10, 12700, 61, 18, 1077, 378, 6263, 258, 485, 11, 390, 45442, 10, 12700, 61, 18, 1077, 18576, 6726, 1210, 926, 1827, 16, 8052, 4937, 10, 262, 14552, 10, 12700, 61, 19, 1077, 378, 6263, 258, 485, 11, 390, 45442, 10, 12700, 61, 19, 1077, 18576, 6726, 1210, 647, 10341, 65, 39375, 426, 543, 12700, 324, 4873, 276, 9052, 603, 45442, 10, 12700, 61, 18, 1077, 378, 6263, 258, 485, 11, 390, 45442, 10, 12700, 61, 19, 1077, 378, 6263, 258, 485, 8866, 647, 1827, 16, 32793, 10, 4874, 10, 25461, 65, 39375, 581, 813, 11, 1465, 804, 1056, 65, 39375, 65, 4026, 65, 25570, 65, 12243, 10, 1262, 2192, 647, 5049, 426, 378, 9087, 656, 10, 1775, 777, 567, 4324, 67, 14, 271, 14, 261, 581, 314, 70, 14, 300, 14, 314, 72, 14, 306, 14, 300, 22374, 985, 10341, 65, 24545, 31, 36, 6263, 258, 485, 11, 647, 9052, 426, 1581, 10, 12243, 16, 39375, 6472, 647, 1827, 16, 32793, 10, 4874, 10, 39375, 581, 338, 19, 11, 647, 324, 4873, 276, 9052, 28, 926, 1827, 16, 8052, 2433, 10961, 10, 12700, 14, 30214, 11, 926, 1827, 16, 32793, 10, 4874, 10, 12700, 581, 374, 11, 926, 1827, 16, 8052, 4937, 10, 262, 14552, 10, 12700, 61, 18, 1077, 378, 6263, 258, 485, 11, 390, 45442, 10, 12700, 61, 18, 1077, 18576, 6726, 1210, 926, 1827, 16, 8052, 4937, 10, 262, 14552, 10, 12700, 61, 19, 1077, 378, 6263, 258, 485, 11, 390, 45442, 10, 12700, 61, 19, 1077, 18576, 6726, 1210, 647, 10341, 65, 39375, 426, 543, 12700, 324, 4873, 276, 9052, 603, 45442, 10, 12700, 61, 18, 1077, 378, 6263, 258, 485, 11, 390, 45442, 10, 12700, 61, 19, 1077, 378, 6263, 258, 485, 8866, 647, 1827, 16, 32793, 10, 4874, 10, 25461, 65, 39375, 581, 848, 11, 188, 188, 339, 4623, 1554, 870, 2224, 684, 870, 7073, 870, 5141, 477, 440, 42933, 16, 7073, 1067, 188, 0, 5, 2111, 28, 27672, 31, 22, 5481, 8253, 15699, 31, 16199, 188, 22191, 22191, 6498, 4993, 188, 5, 8064, 314, 69, 11, 374, 18, 18, 26, 20677, 10995, 188, 5, 1822, 3453, 10544, 16, 826, 2024, 286, 254, 17399, 4605, 188, 5, 403, 1143, 2066, 758, 254, 2349, 274, 254, 31296, 5105, 4493, 362, 19, 16, 18, 188, 5, 533, 41876, 436, 3163, 14, 286, 311, 2066, 387, 188, 5, 3817, 1333, 2614, 16, 21176, 16, 2000, 17, 7482, 17, 71, 446, 15, 88, 19, 18, 16, 2880, 188, 5, 188, 5, 3162, 40836, 28, 188, 5, 7296, 354, 13964, 314, 45858, 11, 428, 3196, 6905, 188, 22191, 22191, 6498, 4993, 188, 188, 2855, 10096, 16, 3228, 16, 1204, 302, 298, 188, 3933, 3378, 1369, 3555, 12213, 188, 188, 1510, 5228, 65, 2406, 3149, 4371, 65, 25563, 10, 6048, 14, 24915, 4173, 8366, 31, 5489, 2192, 477, 11916, 477, 6064, 11310, 512, 19410, 4371, 276, 24748, 4522, 16, 477, 3817, 1333, 85, 2248, 1743, 16, 410, 9105, 16, 679, 17, 18, 23, 27, 24, 18, 18, 25, 27, 25, 21, 17, 16199, 28475, 20, 15, 2688, 50, 15, 19, 20, 15, 2282, 1607, 15, 24, 477, 11916, 477, 1800, 10077, 254, 1581, 274, 2426, 7430, 282, 5228, 314, 395, 757, 9525, 670, 2961, 11, 477, 5228, 65, 3434, 426, 543, 210, 4881, 477, 324, 1401, 276, 4522, 16, 6816, 29890, 28, 647, 603, 1401, 16, 6048, 2466, 2224, 10096, 16, 3228, 16, 6726, 16, 18543, 65, 37638, 28, 926, 1401, 16, 2137, 31, 6816, 16, 2137, 16, 24915, 1067, 647, 603, 1401, 16, 6048, 2466, 2224, 10096, 16, 3228, 16, 6726, 16, 18543, 65, 37638, 286, 417, 1401, 16, 2137, 16, 24915, 10, 45537, 926, 1800, 818, 436, 2426, 4522, 282, 254, 282, 15, 1234, 15, 1955, 3047, 1581, 926, 5228, 65, 3434, 16, 9436, 10, 6816, 11, 647, 27985, 1401, 16, 6923, 10101, 29890, 10, 45537, 926, 1800, 757, 9525, 14, 353, 434, 254, 21640, 1026, 282, 2874, 343, 254, 8259, 656, 926, 5228, 65, 2406, 3149, 4371, 65, 25563, 10, 6816, 11, 477, 1800, 1323, 254, 5170, 924, 477, 324, 4522, 276, 5228, 65, 3434, 28, 647, 4522, 16, 5434, 6726, 16, 11833, 10101, 10, 6048, 11, 647, 4522, 16, 329, 4352, 10, 2312, 188, 188, 1510, 7085, 65, 3228, 10, 3228, 19, 14, 3228, 20, 14, 24915, 4173, 8366, 31, 5489, 2192, 477, 1246, 31, 21723, 12213, 10, 3228, 19, 11, 477, 341, 31, 21723, 12213, 10, 3228, 20, 11, 477, 5228, 65, 2406, 3149, 4371, 65, 25563, 10, 90, 14, 24915, 4173, 8366, 11, 477, 5228, 65, 2406, 3149, 4371, 65, 25563, 10, 91, 14, 24915, 4173, 8366, 11, 477, 603, 10, 90, 16, 927, 7038, 1067, 381, 91, 16, 927, 7038, 1067, 2192, 647, 1076, 10, 4937, 11, 477, 1076, 10, 5489, 11, 188, 0, 31311, 38, 19191, 7336, 324, 785, 30450, 2133, 44438, 188, 2855, 13729, 188, 2855, 7481, 188, 2855, 11555, 188, 188, 22606, 65, 12906, 426, 7481, 16, 3839, 16, 43696, 18050, 3039, 31178, 188, 30548, 65, 12906, 426, 378, 9185, 65, 12906, 188, 10134, 16, 3839, 16, 9436, 10, 30548, 65, 12906, 11, 188, 188, 18289, 426, 11475, 188, 26515, 3733, 4815, 65, 18289, 426, 38808, 188, 188, 5, 380, 4629, 2427, 625, 1606, 282, 2602, 751, 20060, 456, 276, 188, 26515, 3733, 4815, 65, 23676, 65, 3676, 65, 34225, 426, 15923, 32254, 2554, 29155, 43, 8678, 24318, 85, 15812, 4, 188, 188, 2278, 47, 11643, 426, 314, 477, 1800, 11865, 6906, 9176, 1358, 684, 12206, 65, 12460, 34, 11351, 16, 679, 11162, 188, 11, 188, 188, 3663, 1298, 41, 5947, 426, 5286, 47, 11643, 188, 188, 339, 684, 29671, 36, 1374, 2688, 65, 35224, 2834, 1675, 1384, 9, 276, 7481, 16, 258, 2335, 28, 477, 39808, 2834, 1675, 1384, 426, 13729, 16, 2711, 85, 10, 375, 16, 258, 2335, 4862, 29671, 36 ]

[ 1, 4937, 14, 9650, 31, 4937, 9424, 926, 11865, 2668, 65, 10889, 1358, 1827, 16, 28914, 2012, 42706, 16, 5310, 16, 18730, 16, 14652, 16, 23384, 6009, 9, 2682, 14728, 65, 2582, 31, 4937, 14, 9650, 31, 4937, 9424, 926, 11865, 4396, 1358, 1827, 16, 28914, 2012, 42706, 16, 5310, 16, 18730, 16, 14652, 16, 4768, 16, 38577, 4664, 9, 2682, 927, 31, 525, 4862, 7, 85, 47812, 85, 9, 2384, 314, 6802, 3226, 13150, 16, 1194, 65, 1911, 14, 11140, 3226, 13150, 16, 5912, 65, 1554, 11, 3185, 581, 5896, 11865, 10968, 1358, 1827, 16, 28914, 2012, 42706, 16, 5310, 16, 18730, 16, 14652, 16, 4768, 16, 38577, 4664, 9, 2682, 6799, 31, 19, 14, 282, 31, 525, 4862, 36379, 16, 26395, 22673, 581, 926, 11865, 10968, 65, 75, 302, 1358, 1827, 16, 28914, 2012, 42706, 16, 5310, 16, 18730, 16, 14652, 16, 38818, 16014, 6009, 9, 2682, 5310, 65, 4519, 31, 4937, 14, 2694, 65, 3857, 31, 22, 14, 3515, 31, 4937, 14, 9650, 31, 4937, 9424, 926, 11865, 10968, 65, 13149, 1358, 1827, 16, 28914, 2012, 42706, 16, 5310, 16, 18730, 16, 14652, 16, 8436, 6009, 9, 2682, 5310, 65, 4519, 31, 4937, 14, 2694, 65, 3857, 31, 19, 18, 18, 14, 3515, 31, 4937, 14, 9650, 31, 4937, 9424, 926, 11865, 2668, 65, 15299, 1358, 1827, 16, 28914, 2012, 42706, 16, 5310, 16, 18730, 16, 14652, 16, 23384, 6009, 9, 2682, 6799, 31, 35007, 16, 35007, 16, 2582, 14, 3515, 31, 4937, 14, 13689, 65, 4519, 31, 4937, 9424, 926, 11865, 15415, 1358, 1827, 16, 28914, 2012, 42706, 16, 5310, 16, 18730, 16, 14652, 16, 24222, 6009, 9, 2682, 6799, 31, 5489, 14, 13689, 65, 4519, 31, 4937, 9424, 647, 38175, 647, 13689, 16, 12802, 65, 6767, 65, 26695, 10, 87, 9, 468, 8110, 1358, 14018, 36798, 22673, 2621, 1800, 34452, 354, 20, 47, 2741, 324, 1631, 11164, 65, 10968, 328, 684, 36798, 9, 647, 279, 20, 79, 65, 2343, 65, 1554, 426, 13689, 16, 14063, 258, 65, 1554, 10, 87, 9, 468, 8110, 65, 32075, 65, 16529, 5875, 65, 10968, 3291, 647, 13689, 16, 6767, 65, 2343, 10, 79, 20, 79, 65, 2343, 65, 1554, 14, 314, 926, 11865, 302, 1358, 3106, 16, 21478, 6009, 10, 47743, 65, 1554, 5313, 1787, 1358, 3505, 65, 2290, 31, 4937, 14, 6574, 65, 21651, 31, 4937, 9424, 926, 11865, 32075, 1358, 3106, 16, 38577, 4664, 10, 525, 61, 87, 9, 468, 8110, 16, 32075, 15993, 3515, 31, 5489, 9424, 926, 11865, 10968, 1358, 3106, 16, 38577, 4664, 10, 525, 61, 87, 434, 3149, 16, 10968, 15993, 3515, 31, 5489, 1210, 647, 38175, 647, 13689, 16, 6767, 65, 21831, 10, 79, 20, 79, 65, 2343, 65, 1554, 14, 14018, 32075, 65, 302, 1358, 684, 10968, 65, 302, 22673, 25178, 804, 23516, 10, 1262, 14, 390, 79, 2192, 647, 1800, 1569, 1044, 273, 1530, 684, 36798, 9, 647, 13689, 16, 15983, 65, 2343, 10, 87, 9, 468, 8110, 65, 32075, 3291, 2621, 1800, 6064, 11005, 354, 20, 47, 2741, 324, 1631, 11164, 65, 10968, 328, 684, 36798, 9, 647, 13689, 16, 15983, 65, 2343, 10, 5310, 16, 14063, 258, 65, 1554, 10, 87, 9, 468, 8110, 65, 32075, 65, 16529, 5875, 65, 10968, 18723, 25178, 3106, 426, 550, 647, 1453, 9, 7, 85, 47812, 85, 9, 2384, 314, 6802, 3226, 13150, 16, 1194, 65, 1911, 14, 11140, 3226, 13150, 16, 8414, 65, 1554, 2192, 550, 926, 684, 22347, 5141, 26491, 5912, 65, 1554, 5141, 11140, 24051, 1554, 870, 1965, 647, 3454, 647, 1453, 9, 14006, 16, 4259, 5141, 550, 926, 684, 22347, 5141, 26491, 5912, 65, 1554, 5141, 684, 6811, 34125, 926, 1453, 9, 302, 5141, 11865, 42706, 16, 5310, 16, 18730, 16, 14652, 16, 21478, 6009, 1358, 23567, 26491, 20777, 65, 2290, 5141, 684, 4937, 13614, 581, 926, 684, 1554, 5141, 11865, 42706, 16, 5310, 16, 18730, 16, 14652, 16, 8436, 6009, 1358, 23567, 26491, 21831, 5141, 684, 4937, 1358, 684, 3958, 65, 3857, 5141, 684, 26, 18, 13614, 581, 926, 684, 468, 8110, 5141, 11865, 42706, 16, 5310, 16, 18730, 16, 14652, 16, 4768, 16, 9928, 1934, 9928, 6009, 1358, 23567, 26491, 927, 5141, 1453, 4, 525, 4862, 14006, 16, 36798, 5868, 985, 684, 14370, 3773, 5364, 5141, 684, 5489, 1358, 684, 21782, 5141, 684, 4937, 9, 2240, 647, 3454, 647, 1453, 9, 14006, 16, 32075, 5141, 550, 926, 684, 22347, 5141, 26491, 46593, 5141, 7788, 87, 9, 5901, 65, 875, 870, 1194, 65, 1911, 1358, 1453, 9, 5901, 65, 875, 870, 7443, 1358, 1453, 9, 19303, 4963, 3291, 985, 684, 21831, 65, 35386, 5141, 347, 4324, 87, 9, 5901, 65, 875, 1358, 1453, 9, 19303, 4963, 11162, 22019, 684, 5912, 65, 1554, 5141, 684, 36798, 34125, 926, 684, 19303, 4963, 5141, 11865, 42706, 16, 5310, 16, 18730, 16, 14652, 16, 8436, 6009, 1358, 23567, 26491, 3958, 65, 3857, 5141, 684, 19, 18, 18, 13614, 581, 926, 684, 5901, 65, 875, 5141, 11865, 42706, 16, 5310, 16, 18730, 16, 14652, 16, 4768, 16, 38577, 4664, 1358, 23567, 26491, 927, 5141, 1453, 4, 525, 4862, 5901, 10424, 16, 8366, 2466, 5868, 9221, 926, 1453, 9, 302, 5141, 11865, 42706, 16, 5310, 16, 18730, 16, 14652, 16, 21478, 6009, 1358, 23567, 26491, 20777, 65, 2290, 5141, 684, 4937, 13614, 581, 926, 684, 1554, 5141, 11865, 42706, 16, 5310, 16, 18730, 16, 14652, 16, 8436, 6009, 1358, 23567, 26491, 3958, 65, 3857, 5141, 684, 23, 18, 9, 2240, 647, 3454, 647, 1453, 9, 5901, 10424, 16, 5901, 875, 5141, 550, 926, 684, 22347, 5141, 26491, 46593, 5141, 347, 2012, 1554, 1358, 22019, 684, 21831, 65, 35386, 5141, 7788, 2012, 1194, 65, 1911, 1358, 684, 7443, 11162, 22019, 684, 5912, 65, 1554, 5141, 684, 8366, 2466, 1358, 684, 5310, 65, 2343, 5141, 16690, 42706, 65, 5901, 65, 875, 9, 4831, 926, 684, 1194, 65, 1911, 5141, 11865, 42706, 16, 5310, 16, 18730, 16, 14652, 16, 8436, 6009, 1358, 23567, 26491, 3958, 65, 3857, 5141, 684, 19, 18, 18, 13614, 581, 926, 1453, 9, 302, 5141, 11865, 42706, 16, 5310, 16, 18730, 16, 14652, 16, 21478, 6009, 1358, 23567, 26491, 20777, 65, 2290, 5141, 684, 4937, 13614, 581, 926, 684, 7443, 5141, 11865, 42706, 16, 5310, 16 ]

[ 1, 2712, 2524, 16, 188, 22376, 282, 7274, 580, 324, 4128, 390, 1862, 580, 348, 248, 8901, 324, 2996, 1952, 1525, 254, 1689, 338, 20, 2524, 16, 188, 11460, 641, 5661, 282, 7274, 272, 300, 27051, 16, 0, 1230, 8995, 663, 4783, 26636, 23556, 328, 248, 13398, 3596, 24945, 624, 11401, 14, 2287, 10890, 3405, 5749, 14, 3428, 1755, 668, 615, 4701, 348, 248, 2560, 14, 286, 497, 624, 27687, 668, 254, 14726, 2065, 2352, 282, 1093, 663, 5781, 36745, 862, 390, 8993, 1464, 3284, 16, 188, 1230, 21012, 663, 4783, 26636, 10611, 497, 624, 2692, 282, 452, 1143, 4631, 2502, 1726, 3258, 7148, 314, 318, 4639, 281, 14, 42107, 286, 1738, 15, 3066, 11, 687, 248, 763, 15, 7586, 2114, 2352, 282, 5540, 276, 642, 5497, 2435, 16, 188, 1230, 330, 5157, 26636, 7076, 314, 1262, 15, 26048, 17891, 11, 343, 2784, 7544, 7174, 276, 2103, 2287, 2237, 274, 254, 2675, 2957, 274, 9761, 1232, 14, 22312, 14, 7246, 14, 31850, 6288, 286, 2269, 16, 188, 1230, 21012, 276, 254, 5157, 26636, 1580, 497, 624, 2692, 282, 1280, 1851, 6344, 2996, 343, 248, 3258, 1840, 390, 1851, 5740, 8756, 1305, 282, 1495, 16, 188, 1230, 496, 248, 3300, 274, 7544, 343, 38125, 33807, 2642, 14, 1093, 663, 4783, 26636, 23556, 7174, 276, 3564, 8101, 274, 1017, 2269, 2675, 11980, 85, 14, 248, 3564, 3177, 274, 5311, 4652, 282, 2489, 14, 624, 27687, 17010, 274, 580, 457, 85, 1464, 14, 286, 1755, 4456, 7271, 286, 4456, 3184, 16, 188, 1230, 12405, 663, 3819, 14047, 4536, 452, 624, 2675, 17701, 2502, 2079, 286, 615, 5703, 16, 188, 39763, 952, 601, 2225, 836, 1508, 669, 1606, 282, 913, 327, 26636, 2893, 10655, 274, 5839, 16, 11166, 26636, 311, 248, 6650, 628, 274, 944, 30076, 14, 345, 2225, 254, 5215, 8782, 282, 254, 2025, 2974, 14, 9892, 274, 5839, 390, 3367, 10175, 16, 496, 1665, 274, 520, 2479, 14, 8543, 952, 601, 5767, 327, 3655, 476, 2490, 615, 3177, 274, 963, 15, 11630, 286, 2706, 2675, 2591, 2456, 811, 432, 15067, 615, 40583, 16, 314, 510, 473, 8212, 831, 8267, 481, 188, 2515, 1649, 327, 21689, 24045, 328, 633, 2286, 1634, 286, 1862, 6524, 16, 188, 1516, 5690, 369, 9024, 276, 33662, 14, 14161, 10698, 14, 31490, 328, 4452, 374, 23, 14, 374, 18, 18, 27, 407, 44165, 2568, 386, 23083, 16, 0, 25253, 18620, 21881, 314, 20334, 20424, 236, 36799, 31898, 123, 11, 311, 248, 3561, 12887, 19850, 758, 4237, 13221, 407, 24373, 1426, 16, 1469, 1143, 616, 8311, 11082, 276, 374, 18, 19, 21, 328, 309, 88, 48, 457, 85, 14164, 39170, 16, 188, 15, 2899, 311, 432, 27914, 32161, 14, 3605, 443, 6506, 22994, 605, 14, 3561, 9476, 16, 188, 15, 2899, 11298, 9476, 14699, 4704, 4580, 286, 35170, 6342, 274, 254, 14699, 457, 8311, 7605, 16, 188, 15, 2899, 369, 20350, 758, 30233, 23132, 286, 401, 9182, 23132, 16, 188, 15, 2899, 5260, 276, 10799, 1412, 41862, 9963, 457, 85, 3327, 3379, 324, 310, 388, 366, 731, 276, 374, 18, 19, 21, 16, 188, 7176, 274, 8426, 18620, 21881, 434, 9253, 311, 633, 7383, 33, 0, 1111, 1676, 1807, 67, 310, 22667, 11026, 2620, 3574, 2755, 24694, 258, 369, 8739, 273, 44557, 324, 254, 6901, 5153, 19923, 457, 29123, 16, 18613, 254, 47802, 769, 26729, 1385, 671, 6423, 188, 6709, 521, 1676, 1807, 67, 310, 22667, 3574, 2755, 24694, 258, 3854, 1241, 22223, 5055, 41, 9163, 282, 6901, 5153, 28, 254, 6151, 34183, 5055, 41, 22033, 14, 34183, 401, 19, 411, 18, 22, 14, 286, 254, 495, 18, 18, 323, 3761, 719, 16, 26, 5055, 41, 16, 496, 272, 47802, 769, 26729, 1385, 671, 666, 387, 6901, 5153, 14, 5521, 385, 15, 84, 4097, 6082, 500, 406, 858, 7335, 2263, 254, 495, 18, 18, 323, 3761, 719, 16, 26, 5055, 41, 1205, 520, 28491, 24625, 20506, 28402, 44457, 1652, 3108, 254, 9278, 274, 254, 34183, 15, 2229, 41, 22033, 286, 867, 561, 276, 20190, 16, 15906, 36858, 369, 276, 641, 23509, 343, 520, 25762, 338, 16428, 1096, 387, 254, 1242, 14, 532, 3402, 4255, 713, 1708, 11982, 286, 1649, 276, 248, 14724, 2949, 282, 2743, 254, 18534, 1360, 387, 254, 1057, 671, 348, 254, 642, 763, 9163, 16, 0, 10272, 11503, 248, 4230, 3260, 276, 633, 2342, 593, 327, 633, 4230, 476, 1663, 276, 286, 561, 1269, 254, 1336, 274, 248, 1408, 311, 1594, 327, 5215, 1081, 368, 286, 633, 4230, 16, 496, 1596, 282, 4782, 633, 4230, 624, 6995, 14, 368, 1856, 457, 86, 452, 282, 11292, 5745, 368, 403, 2430, 282, 751, 597, 286, 1493, 254, 3260, 593, 327, 353, 476, 563, 561, 1033, 1956, 671, 16, 188, 2148, 4090, 14, 603, 633, 4230, 26290, 1480, 1181, 1773, 390, 1652, 8113, 974, 274, 1594, 353, 18203, 14, 353, 587, 961, 368, 282, 751, 597, 286, 1315, 353, 561, 14, 390, 1952, 368, 457, 619, 980, 597, 12136, 841, 353, 14, 390, 368, 476, 3570, 254, 1840, 17453, 407, 20243, 248, 4230, 18173, 3260, 16, 2552, 14, 368, 811, 452, 282, 7415, 843, 282, 563, 668, 2876, 254, 4230, 18173, 3260, 7826, 16, 380, 801, 4360, 327, 3144, 282, 2482, 311, 282, 1602, 248, 5537, 282, 1663, 286, 513, 254, 2545, 14, 532, 2075, 513, 327, 670, 368, 476, 513, 353, 4684, 33, 188, 1982, 368, 961, 282, 1354, 328, 254, 5527, 274, 20243, 248, 7389, 3260, 276, 633, 1683, 324, 633, 11510, 609, 3224, 14, 626, 403, 811, 248, 1603, 3364, 4867, 368, 587, 872, 282, 946, 16, 1395, 1242, 407, 14231, 254, 4189, 274, 254, 4230, 18173, 3260, 14, 16739, 254, 1640, 3260, 282, 452, 353, 328, 14, 533, 311, 3673, 532, 417, 1845, 254, 8352, 3260, 14, 286, 328, 748, 628, 274, 254, 3260, 353, 587, 321, 16, 1395, 587, 452, 282, 1354, 713, 2320, 254, 4747, 274, 633, 4230, 16, 188, 1368, 961, 254, 3260, 282, 321, 4301, 276, 254, 1640, 6136, 282, 1041, 353, 3364, 286, 11322, 324, 633, 4230, 282, 1041, 353, 939, 16, 7757, 1048, 8862, 1503, 2353, 368, 282, 4432, 254, 4747, 274, 254, 4230, 18173, 3260, 14, 286, 4316, 327, 633, 4230, 774, 1311, 1709, 14, 7100, 328, 695, 2289, 16, 380, 1921 ]

[ 1, 1130, 311, 2482, 15, 68, 19046, 1923, 315, 8262, 1091, 668, 890, 18, 18, 2945, 942, 1788, 254, 2289, 274, 338, 26, 587, 321, 13044, 282, 5094, 615, 41176, 387, 580, 2945, 29504, 10704, 16, 1997, 254, 1364, 5962, 14, 6101, 1577, 15, 483, 369, 1444, 719, 24, 7536, 188, 7470, 683, 338, 18, 18, 2945, 942, 403, 13044, 282, 6101, 276, 254, 801, 3298, 274, 254, 5962, 328, 7998, 16, 188, 2231, 23044, 311, 5326, 282, 452, 282, 4149, 624, 683, 374, 10025, 282, 3858, 248, 29504, 4516, 16, 4772, 274, 254, 14375, 1162, 274, 5962, 6166, 286, 3860, 11258, 3103, 14, 13057, 587, 1354, 1619, 276, 4941, 8435, 869, 338, 19, 4028, 286, 338, 27, 2470, 16, 188, 30717, 457, 85, 14069, 801, 5962, 276, 338, 27, 23, 19, 15, 23, 20, 2263, 1241, 2524, 282, 3316, 16, 17334, 338, 27, 24, 20, 286, 338, 27, 26, 27, 14, 12002, 497, 6140, 276, 1694, 282, 338, 18, 1842, 16, 380, 1694, 15, 1183, 12002, 276, 338, 27, 26, 18, 497, 254, 2504, 457, 85, 29425, 2378, 16, 188, 1853, 27986, 869, 5267, 286, 12757, 19506, 456, 1527, 248, 18115, 12825, 2889, 1364, 1722, 14, 626, 369, 1495, 6503, 1129, 4405, 561, 328, 254, 2257, 45125, 16, 28527, 10704, 276, 1081, 4203, 497, 9878, 274, 2217, 1036, 1186, 286, 7691, 414, 16, 1268, 843, 2019, 852, 596, 1354, 353, 33, 380, 15071, 457, 85, 17055, 5232, 655, 13400, 7985, 10236, 276, 19370, 286, 5306, 4384, 610, 691, 6279, 276, 7821, 22657, 1354, 248, 997, 16, 188, 1130, 369, 14164, 327, 369, 2674, 1143, 324, 7122, 16, 188, 510, 2860, 869, 5267, 286, 12757, 1091, 28305, 387, 254, 1640, 274, 2008, 1091, 2144, 282, 248, 1450, 328, 374, 24, 4929, 670, 5267, 5968, 353, 573, 9831, 48225, 363, 8359, 328, 39894, 18946, 276, 12757, 457, 85, 11638, 518, 303, 2829, 348, 769, 1203, 268, 2414, 666, 324, 248, 12825, 2889, 327, 573, 5182, 576, 18, 10541, 276, 5237, 15, 24322, 2059, 34092, 2674, 763, 3498, 4182, 16, 188, 35, 1362, 1938, 14, 328, 374, 25, 4929, 14, 12757, 4950, 1051, 272, 5237, 11402, 21483, 286, 10565, 695, 11260, 16, 188, 4888, 22463, 395, 267, 655, 5242, 14576, 369, 20869, 348, 248, 769, 36929, 21191, 7324, 286, 12757, 5207, 3070, 3883, 20496, 13925, 327, 6569, 2504, 807, 7642, 248, 3607, 1161, 24285, 14, 343, 248, 5899, 45624, 328, 1004, 1874, 16, 188, 41494, 942, 497, 31288, 14, 5267, 457, 85, 5415, 18144, 2818, 16, 188, 3987, 75, 4488, 20496, 28, 8229, 1856, 254, 22578, 6503, 33, 188, 2515, 497, 596, 624, 19523, 1471, 683, 18144, 33, 188, 52, 1404, 5232, 655, 13400, 7985, 10236, 28, 5237, 7122, 6743, 2607, 641, 27881, 670, 353, 2144, 282, 615, 6173, 1391, 6844, 274, 254, 2835, 16, 40958, 3547, 369, 387, 14776, 10990, 16, 188, 510, 6844, 2156, 6323, 713, 480, 25008, 1186, 286, 39927, 14, 343, 26861, 819, 348, 769, 37761, 7204, 21646, 5267, 248, 16053, 7324, 769, 38, 505, 472, 315, 12757, 7324, 286, 769, 27432, 2193, 79, 286, 8029, 5267, 666, 44597, 8427, 328, 14186, 16, 188, 5910, 16352, 286, 40935, 1869, 324, 5267, 282, 889, 27668, 286, 9709, 888, 16, 2514, 12376, 276, 6248, 5267, 16897, 272, 2774, 8005, 13801, 276, 11439, 4544, 305, 945, 14, 5710, 248, 20329, 5490, 16, 188, 1843, 1205, 310, 369, 9357, 328, 254, 1076, 274, 254, 5237, 11260, 387, 254, 5060, 5516, 869, 254, 763, 4203, 276, 254, 10892, 2758, 274, 2955, 894, 46479, 14, 310, 2950, 248, 3306, 2876, 272, 5237, 7699, 15814, 328, 616, 19152, 16, 769, 43, 457, 79, 248, 16781, 1480, 1756, 701, 749, 14, 348, 701, 11069, 387, 479, 276, 4372, 35269, 16, 188, 16670, 16781, 6297, 301, 11516, 3839, 75, 4025, 248, 658, 30664, 28221, 274, 254, 1026, 16352, 276, 1081, 5267, 286, 12757, 5937, 254, 3284, 14, 15973, 596, 573, 3542, 512, 3177, 274, 37429, 414, 286, 8442, 16, 769, 3530, 580, 274, 254, 3620, 1204, 834, 7122, 15, 13238, 43008, 11987, 254, 4475, 414, 15229, 274, 615, 8533, 1756, 701, 749, 16, 188, 4397, 4384, 610, 691, 6279, 28, 34435, 841, 9349, 1051, 387, 1824, 580, 5237, 6243, 1364, 2065, 14, 254, 33259, 4524, 2828, 248, 2243, 7847, 16, 188, 1853, 353, 7207, 14, 254, 18144, 626, 3297, 448, 24987, 769, 37761, 7204, 1472, 526, 22657, 666, 314, 12144, 13919, 12757, 481, 731, 3470, 457, 86, 254, 756, 1610, 274, 769, 18761, 2450, 41658, 1186, 666, 1285, 254, 3225, 8662, 16, 188, 7701, 43008, 432, 2958, 4897, 890, 20, 6145, 1038, 9061, 4524, 34778, 348, 596, 3443, 254, 3547, 1091, 2101, 642, 33259, 18144, 44716, 615, 2964, 16, 188, 1931, 328, 254, 2560, 14, 1205, 5237, 5415, 1225, 398, 46877, 15229, 4524, 2181, 14, 18144, 276, 12757, 497, 624, 38311, 14, 343, 1125, 47308, 748, 596, 1869, 254, 769, 7326, 47549, 2093, 286, 31497, 570, 666, 2362, 254, 5516, 16, 188, 686, 2306, 282, 5237, 3310, 4861, 668, 14364, 20807, 282, 13107, 24004, 282, 12757, 10266, 324, 4090, 14, 580, 4489, 1225, 255, 26217, 668, 248, 769, 15442, 256, 474, 9709, 666, 1091, 248, 3681, 282, 5237, 3790, 596, 4674, 561, 248, 769, 45311, 9709, 666, 276, 374, 18, 19, 24, 1285, 1495, 2114, 274, 7150, 869, 254, 4203, 16, 188, 52, 1404, 5232, 655, 13400, 7985, 10236, 28, 1260, 5415, 6743, 11510, 7926, 10397, 16482, 958, 432, 2701, 31026, 769, 7326, 9692, 666, 3316, 343, 7306, 6437, 27668, 14, 3418, 497, 5279, 417, 811, 668, 254, 16352, 532, 748, 596, 497, 9357, 16, 188, 686, 3225, 1090, 276, 948, 14, 248, 16688, 274, 40935, 452, 18815, 668, 254, 3367, 274, 4475, 19897, 276, 254, 5237, 3310, 16, 188, 18145, 1494, 16669, 286, 5692, 12376, 41063, 2540, 19416, 3990, 5656, 16, 769, 510, 801, 14701, 554, 276, 248, 2073, 311, 1845, 14596, 1460, 16, 12809, 3746, 2450, 38806, 454, 476, 1041, 5281, 27756, 1919, 1756, 345, 749, 16, 188, 1516, 28221, 3432, 457, 86, 4311, 282, 5267, 14, 390, 1002, 436, 2114, 276, 671, 16, 6236, 254, 374, 18, 18, 21, 9011, 2073, 14, 10169, 18144, 12342, 343, 615, 2504, 457, 85, 13880, 3800, 497, 669, 14, 328, 1125, 15100 ]

[ 1, 188, 1982, 368, 452, 665, 3418, 328, 748, 434, 1438, 328, 14, 1872, 1903, 282, 1602, 1919, 3, 1286, 368, 961, 282, 20227, 532, 476, 625, 1041, 353, 282, 779, 11891, 811, 1315, 441, 865, 3, 1822, 403, 9845, 286, 14258, 4528, 5066, 14, 603, 3655, 555, 665, 5532, 390, 13610, 668, 2328, 436, 254, 1640, 802, 324, 3997, 14, 4356, 1315, 441, 865, 16, 839, 9845, 665, 286, 512, 210, 1456, 3, 839, 403, 2731, 3461, 282, 248, 790, 15, 14252, 802, 3, 9127, 3997, 4528, 0, 51, 28, 1691, 311, 254, 4590, 274, 444, 13379, 334, 33, 188, 35, 28, 47359, 2974, 274, 300, 2052, 25107, 2703, 14, 4962, 29317, 324, 11924, 274, 3571, 16, 188, 35, 28, 1395, 403, 29021, 796, 1408, 16, 14933, 8738, 633, 9138, 5532, 276, 9235, 17, 20, 1499, 16, 3070, 2923, 254, 9107, 10027, 324, 300, 2052, 25107, 16, 188, 51, 28, 1334, 476, 310, 30512, 2501, 282, 15032, 15, 1089, 2133, 33, 188, 35, 28, 1664, 311, 417, 872, 282, 30512, 2501, 16, 15032, 15, 1089, 311, 254, 1308, 14, 417, 2133, 16, 18613, 254, 444, 13379, 334, 16, 3172, 1548, 254, 6451, 432, 15032, 15, 1089, 276, 24451, 14, 448, 1781, 14, 10430, 188, 5338, 366, 282, 1903, 3571, 1912, 1074, 254, 13349, 286, 30512, 775, 3468, 16, 23173, 775, 2662, 28, 310, 4856, 368, 338, 16594, 532, 368, 1339, 513, 436, 14, 436, 286, 436, 16, 188, 9606, 2365, 13349, 286, 1602, 775, 3054, 1594, 276, 520, 2024, 16, 2141, 1041, 775, 6429, 17, 14241, 2649, 366, 343, 642, 13349, 16, 188, 7639, 14, 1102, 1330, 300, 2052, 25107, 2485, 14, 15813, 7014, 286, 13349, 16, 19561, 1903, 17, 17794, 1879, 17, 36332, 300, 5013, 3571, 16, 188, 1982, 368, 2014, 324, 5210, 3571, 835, 13349, 4521, 85, 436, 7624, 348, 10679, 16, 2003, 434, 2075, 360, 5419, 1845, 2662, 2982, 3277, 16, 6581, 843, 1125, 2942, 13349, 476, 785, 324, 436, 2501, 33, 188, 51, 28, 1334, 476, 310, 8367, 26514, 551, 39461, 33, 188, 51, 28, 1691, 587, 4955, 603, 20677, 11676, 2520, 2063, 282, 368, 33, 188, 35, 28, 1664, 311, 641, 872, 276, 2520, 2063, 274, 2530, 9235, 17, 20, 3539, 82, 975, 16, 188, 51, 28, 1691, 311, 254, 2967, 869, 347, 43789, 4113, 4, 286, 347, 45736, 15845, 188, 43789, 4113, 311, 254, 1581, 274, 4589, 533, 3054, 12816, 274, 254, 9235, 16, 0, 10023, 1925, 2450, 5414, 369, 11115, 407, 17549, 267, 427, 21801, 276, 374, 18, 19, 18, 286, 2956, 561, 348, 248, 1330, 3258, 3015, 13283, 328, 17549, 267, 457, 85, 4242, 6319, 16, 750, 1938, 2956, 282, 15025, 3547, 668, 4242, 10040, 14, 19836, 4305, 9856, 286, 18796, 767, 5203, 15, 1929, 6478, 16, 496, 254, 1062, 980, 16767, 6654, 367, 6310, 7221, 254, 2214, 16, 188, 14171, 3566, 1925, 2450, 4926, 16, 679, 555, 4634, 939, 248, 48210, 343, 248, 743, 4282, 14, 743, 3616, 286, 743, 7148, 16, 839, 587, 3906, 3899, 668, 4242, 10040, 286, 4242, 14188, 532, 360, 587, 3408, 2430, 1830, 9856, 348, 360, 961, 282, 2683, 328, 254, 3258, 4659, 274, 772, 9646, 286, 417, 513, 665, 6092, 785, 16, 1678, 14, 688, 1330, 1830, 5062, 774, 2738, 3, 188, 10023, 1925, 2450, 5414, 2793, 274, 248, 1330, 1361, 274, 3732, 663, 3768, 254, 1057, 6112, 1091, 8495, 286, 7128, 12471, 286, 8924, 924, 16, 188, 2943, 17549, 267, 311, 417, 2367, 345, 29789, 944, 274, 520, 270, 3057, 552, 343, 520, 1963, 390, 2367, 328, 1015, 13443, 15, 30103, 16, 750, 4701, 276, 254, 10892, 8534, 91, 628, 274, 16377, 286, 1652, 520, 1564, 324, 5414, 434, 670, 345, 1652, 520, 23803, 1668, 5414, 16, 2936, 801, 3960, 767, 5203, 2133, 369, 6522, 276, 374, 18, 19, 18, 348, 248, 4704, 4580, 2133, 16, 2646, 327, 345, 452, 643, 2328, 248, 2187, 274, 1015, 6319, 14, 6397, 19459, 7763, 85, 348, 327, 311, 748, 345, 14131, 254, 944, 16, 188, 37602, 6654, 14131, 282, 4149, 286, 555, 643, 3686, 286, 2367, 276, 14217, 44539, 14, 17463, 14, 387, 443, 2354, 2834, 59, 5268, 532, 311, 1012, 37237, 276, 16377, 2367, 348, 248, 2824, 15, 423, 4244, 13349, 16, 27808, 286, 5279, 276, 254, 10767, 628, 274, 16377, 343, 2318, 2218, 282, 12471, 286, 8349, 6524, 282, 520, 23803, 6112, 533, 3849, 775, 282, 520, 1193, 9646, 324, 12471, 16, 6321, 383, 37474, 403, 4244, 2363, 14, 3532, 286, 25386, 34804, 286, 248, 2298, 274, 20313, 16, 188, 19330, 441, 248, 3808, 14, 390, 1594, 3, 0, 1130, 3032, 348, 2101, 254, 1464, 11409, 372, 7013, 311, 18977, 14, 254, 3819, 274, 1129, 4196, 1225, 1285, 248, 2107, 2348, 16, 3430, 14291, 387, 819, 248, 1017, 1245, 1269, 1002, 2732, 14, 282, 3510, 254, 5831, 348, 368, 563, 14, 641, 7020, 403, 742, 6982, 390, 26770, 2044, 14, 5983, 248, 743, 1026, 16, 188, 20061, 311, 669, 2815, 282, 15268, 1037, 6137, 2601, 14, 321, 5058, 16, 188, 25271, 276, 2601, 476, 321, 3608, 282, 665, 3514, 14, 2430, 665, 2348, 327, 5961, 695, 1193, 22541, 14, 1826, 4731, 248, 4785, 11400, 28929, 3637, 14, 9339, 276, 254, 427, 16, 36, 16, 35, 16, 26667, 14, 10999, 282, 3327, 387, 1683, 14, 390, 9339, 2710, 5702, 16, 331, 9000, 659, 47744, 79, 6184, 5088, 75, 457, 85, 2601, 19263, 403, 45954, 286, 47672, 668, 843, 282, 6384, 2601, 1285, 272, 6334, 2348, 28, 801, 14, 580, 32302, 248, 6477, 869, 3621, 286, 1245, 274, 9916, 14, 835, 580, 5299, 9916, 348, 3621, 16721, 16, 188, 20061, 555, 643, 900, 282, 6094, 942, 276, 254, 765, 274, 45355, 14, 348, 963, 348, 23128, 10999, 282, 3327, 14, 532, 573, 1582, 643, 900, 282, 2522, 248, 11921, 5722, 16, 188, 54, 11411, 1480, 1837, 476, 321, 4678, 15784, 286, 37647, 35111, 16, 7683, 633, 3870, 434, 9444, 1423, 4661, 282, 6122, 1051, 633, 3870, 434, 9444, 1423, 4661, 16, 188, 54, 11411, 10916, 625, 4634, 561, 274, 3616, 16, 731, 369, 1582, 276, 3616, 16, 24867, 311, 276, 3616, 14, 286, 4344, 2034, 4735, 939, 254, 1499, 387, 2304, 3324, 12744, 286, 7856, 16, 188, 57, 13236, 713 ]

[ 1, 3032, 417, 1181, 4448, 841, 327, 16, 188, 2432, 403, 248, 1603, 10144, 3783, 16, 188, 2316, 9140, 1048, 2849, 533, 587, 3709, 607, 25, 18, 10025, 14, 19474, 254, 8062, 434, 543, 33735, 8359, 12131, 15, 6386, 365, 267, 6934, 63, 6037, 387, 4669, 3492, 6728, 282, 695, 1450, 46960, 387, 9148, 27343, 322, 297, 14, 6248, 274, 443, 3814, 14408, 16, 6284, 14, 343, 254, 38490, 2142, 14, 555, 643, 13262, 254, 1802, 2049, 254, 8062, 10624, 348, 353, 11676, 939, 444, 1850, 47676, 16, 496, 2764, 14, 254, 2849, 587, 321, 6334, 4264, 6822, 84, 335, 31222, 286, 835, 328, 282, 41148, 14, 11725, 359, 507, 401, 9335, 286, 6022, 320, 376, 16, 188, 9654, 688, 6813, 1460, 432, 16873, 27897, 13307, 398, 663, 497, 3103, 276, 7618, 254, 2774, 7420, 282, 6409, 353, 369, 16116, 16, 2916, 328, 3135, 719, 274, 254, 7729, 11035, 16, 188, 21291, 2849, 16, 826, 369, 248, 628, 274, 254, 37650, 57, 378, 281, 291, 37491, 2133, 16, 1268, 6524, 324, 254, 8857, 668, 254, 9678, 57, 16, 0, 5125, 763, 15, 37671, 4507, 663, 457, 307, 9353, 748, 688, 1052, 254, 6287, 20367, 1849, 254, 2863, 274, 248, 1401, 1849, 403, 3159, 276, 248, 3545, 6770, 1083, 37058, 1689, 6612, 314, 21443, 848, 394, 11, 324, 248, 7847, 24030, 407, 248, 1305, 1361, 16, 19340, 31038, 304, 264, 274, 3545, 6770, 1083, 14, 248, 9670, 29390, 324, 769, 510, 3511, 515, 41960, 23674, 1756, 2225, 254, 7847, 587, 1862, 4507, 248, 4688, 282, 2241, 343, 2489, 663, 457, 307, 3542, 248, 1401, 16, 31038, 304, 264, 2225, 701, 457, 85, 1102, 626, 457, 85, 12895, 276, 4864, 668, 633, 1193, 20367, 9205, 14, 286, 353, 7526, 282, 1074, 561, 368, 457, 251, 417, 3690, 16, 380, 7847, 311, 867, 282, 751, 29287, 276, 36980, 328, 4297, 848, 394, 14, 286, 353, 7435, 254, 338, 18, 394, 16, 330, 30007, 15, 4165, 14513, 328, 254, 9152, 1849, 399, 3075, 466, 3635, 85, 1849, 587, 321, 254, 1043, 48196, 14513, 16, 1469, 457, 85, 248, 28896, 9119, 2796, 286, 254, 2410, 274, 2006, 4945, 328, 20367, 14, 532, 31038, 304, 264, 2225, 616, 3808, 587, 321, 580, 274, 12895, 286, 3409, 16, 31038, 304, 264, 7221, 769, 510, 3511, 515, 41960, 23674, 666, 338, 18, 1090, 3502, 841, 763, 274, 616, 18808, 4811, 16, 31038, 304, 264, 7221, 254, 1361, 276, 338, 27, 27, 22, 841, 616, 338, 24, 15, 2823, 15, 741, 5952, 369, 5182, 276, 248, 1096, 7149, 16, 7823, 5952, 369, 10620, 407, 248, 1096, 286, 5182, 276, 338, 27, 25, 23, 14, 532, 769, 510, 3511, 515, 41960, 23674, 666, 369, 417, 3812, 276, 14478, 835, 16, 380, 1361, 555, 719, 18, 18, 22445, 1444, 254, 2504, 286, 248, 13003, 22445, 276, 14478, 314, 250, 1201, 73, 8218, 14, 7432, 24363, 14, 31756, 14, 331, 30534, 23827, 14, 331, 30534, 44072, 14, 3545, 6770, 1083, 14, 19482, 87, 1422, 14, 14478, 3124, 14, 19188, 14, 6753, 4239, 14, 4727, 7862, 460, 286, 10014, 22336, 3124, 481, 3774, 1125, 2672, 403, 4507, 663, 457, 307, 3542, 248, 1401, 14, 254, 1361, 669, 5961, 25003, 286, 1305, 282, 1093, 663, 457, 307, 3542, 248, 38680, 16, 1395, 476, 1074, 561, 624, 668, 380, 3511, 515, 41960, 23674, 286, 254, 7847, 276, 36980, 328, 254, 7142, 14, 387, 8061, 16, 779, 16000, 41960, 28228, 16, 679, 14, 390, 368, 476, 2960, 31038, 304, 264, 387, 607, 19, 23, 15, 20, 25, 22, 15, 21, 26, 21, 23, 16, 0, 1212, 4504, 25686, 10335, 282, 6975, 4682, 5215, 16, 839, 403, 2367, 348, 25686, 7626, 282, 2023, 368, 11535, 13259, 328, 633, 2072, 19896, 16, 188, 1212, 10972, 6151, 254, 1640, 338, 1373, 18459, 273, 12968, 274, 1015, 18796, 4273, 663, 476, 2023, 368, 11266, 12453, 18459, 273, 9241, 16, 188, 1212, 513, 512, 1640, 3324, 282, 2023, 772, 12587, 3338, 1460, 14, 532, 254, 2543, 3027, 774, 1767, 615, 5961, 1269, 665, 4226, 16, 0, 5897, 975, 4343, 368, 282, 1423, 763, 15, 33696, 348, 963, 348, 1694, 15, 33696, 2257, 21180, 35384, 16, 5596, 15, 33696, 2632, 403, 624, 1794, 14, 343, 248, 1241, 15, 15077, 41425, 24898, 286, 248, 10773, 16, 380, 1694, 15, 33696, 4254, 476, 321, 6363, 407, 1484, 5290, 20162, 27388, 390, 407, 14100, 27388, 343, 367, 1787, 11032, 324, 1062, 17395, 35384, 16, 188, 686, 512, 254, 9258, 14, 254, 11409, 286, 254, 5764, 403, 1062, 2013, 16, 24267, 254, 2244, 772, 975, 311, 4133, 713, 763, 4105, 16, 2514, 311, 254, 1423, 3816, 14, 3198, 254, 8322, 5212, 390, 3198, 254, 3117, 16258, 16, 380, 642, 628, 14, 533, 8325, 7798, 343, 14, 353, 457, 85, 248, 4829, 2150, 9412, 14, 16649, 286, 26416, 16, 2640, 436, 9412, 254, 7528, 476, 1970, 254, 975, 254, 867, 15, 3538, 3171, 14, 13976, 254, 41425, 24898, 457, 85, 1575, 3759, 390, 1577, 254, 2257, 742, 16, 188, 510, 9412, 9648, 248, 2244, 3171, 8245, 14, 272, 26901, 3046, 286, 248, 5028, 12869, 16, 188, 510, 9710, 2932, 3394, 565, 13112, 14, 254, 3383, 12366, 286, 254, 3260, 12366, 403, 512, 4652, 282, 254, 1423, 3816, 16, 1822, 836, 13112, 1315, 441, 865, 603, 626, 311, 3655, 276, 254, 2244, 390, 417, 16, 380, 5321, 975, 1042, 417, 2353, 248, 3021, 3198, 248, 14815, 286, 593, 353, 311, 12971, 343, 665, 2169, 274, 5406, 14, 1996, 343, 248, 5732, 2165, 390, 343, 248, 4829, 7802, 3021, 16, 188, 1934, 5353, 353, 3256, 14, 603, 626, 311, 4715, 3198, 254, 2244, 343, 254, 3260, 4438, 14, 254, 975, 19019, 327, 626, 311, 2996, 3198, 16, 1585, 254, 9947, 14, 603, 254, 3260, 26653, 286, 626, 311, 641, 4715, 3198, 14, 254, 2244, 311, 6153, 16, 496, 436, 1364, 1068, 14, 254, 975, 29115, 254, 25990, 2008, 324, 254, 2257, 21180, 286, 254, 10377, 16, 5066, 254, 2257, 21180, 311, 32578, 603, 254, 8102, 390, 10723, 403, 1493, 1285, 248, 637, 15, 1160, 2332, 274, 671, 16, 188, 510, 1423, 3816, 555, 25397, 17499, 390, 25597, 327, 1423, 254, 2257, 21180, 286, 254, 10377, 2632, 16, 188, 686, 1316, 282, 4962, 624 ]

[ 1, 869, 254, 2758, 1874, 286, 9690, 1874, 14, 593, 348, 282, 5256, 15500, 15400, 286, 5787, 14, 27702, 254, 13474, 14, 4654, 254, 5925, 274, 942, 343, 25651, 14, 5150, 21156, 14, 3860, 286, 6215, 274, 2764, 7270, 16, 188, 510, 45431, 274, 254, 3532, 6846, 282, 254, 4172, 14, 1218, 1402, 286, 254, 2875, 286, 2508, 1988, 274, 9169, 695, 3357, 16, 380, 4868, 274, 3357, 311, 3303, 20315, 1221, 407, 254, 948, 327, 254, 3532, 311, 4301, 328, 248, 29041, 1923, 2245, 1269, 2704, 274, 3681, 286, 5147, 16, 188, 46605, 13733, 286, 2272, 3247, 369, 669, 11876, 407, 254, 5925, 274, 1321, 1839, 14, 407, 4893, 286, 2628, 3277, 14, 407, 254, 4605, 314, 329, 26177, 11538, 6931, 448, 6218, 14, 37739, 343, 27599, 432, 42859, 16483, 15934, 390, 7340, 1523, 12117, 14, 5099, 14, 4995, 581, 533, 3849, 282, 615, 46377, 19010, 286, 1988, 274, 248, 6681, 18846, 327, 311, 10996, 407, 9599, 4987, 286, 23832, 15721, 274, 2245, 939, 16538, 3532, 4156, 16, 0, 510, 4686, 274, 6945, 8551, 580, 1740, 432, 1495, 311, 356, 15, 944, 14504, 324, 248, 1910, 1129, 16, 1678, 14, 436, 4686, 311, 509, 87, 15, 247, 20682, 2802, 273, 324, 944, 4829, 4992, 4569, 9989, 15, 259, 1371, 29, 5562, 14, 360, 1323, 436, 4686, 387, 11668, 1635, 1062, 1603, 6490, 324, 4569, 16, 731, 555, 643, 3949, 327, 254, 3055, 15467, 274, 4333, 774, 1663, 432, 254, 5926, 3520, 321, 15, 247, 849, 254, 743, 1610, 286, 6490, 3661, 6139, 16, 839, 2780, 327, 254, 2165, 282, 580, 15, 11539, 4569, 311, 254, 9375, 274, 1794, 4105, 348, 1004, 628, 6382, 24071, 8101, 274, 276, 15, 4556, 328, 843, 248, 5150, 4333, 311, 8590, 16, 839, 355, 15, 16290, 272, 440, 34097, 1308, 324, 4569, 248, 8342, 10603, 892, 15, 296, 551, 274, 2382, 19811, 9733, 13893, 4156, 274, 272, 4960, 16, 6730, 1093, 19811, 348, 3277, 14, 360, 1916, 248, 5722, 268, 1530, 327, 40097, 12659, 248, 1162, 274, 1642, 87, 15, 1216, 11032, 328, 248, 580, 15, 11539, 4569, 4686, 16, 839, 7368, 254, 12167, 274, 436, 2660, 328, 1116, 15, 15284, 23546, 286, 913, 327, 436, 1530, 2025, 4083, 282, 2623, 14877, 16, 0, 6235, 889, 310, 431, 2201, 282, 3377, 512, 607, 21, 6948, 282, 607, 21, 23, 21, 328, 248, 2725, 343, 374, 427, 41427, 16, 2514, 327, 6438, 348, 22175, 5151, 5114, 561, 4375, 14, 286, 10743, 348, 22175, 5151, 4622, 276, 4375, 16, 23433, 311, 282, 867, 597, 20272, 14, 286, 248, 418, 12098, 314, 11226, 2595, 14, 3116, 11743, 14, 25735, 11, 4244, 12343, 282, 8494, 286, 14577, 254, 2752, 14120, 1819, 14, 1707, 328, 931, 432, 2336, 1819, 10, 85, 481, 0, 35, 614, 40394, 311, 4250, 2731, 324, 272, 496, 3867, 4425, 578, 2480, 387, 615, 40924, 14, 15980, 4189, 3, 35502, 403, 869, 495, 18, 15, 22, 18, 13398, 328, 248, 3203, 14, 343, 254, 6215, 274, 2057, 671, 15813, 324, 254, 977, 4793, 3, 188, 1934, 321, 5384, 276, 436, 2472, 14, 368, 933, 452, 248, 4740, 3981, 276, 7528, 2497, 314, 2757, 578, 2902, 17, 85, 39295, 17, 2313, 1349, 2705, 6865, 8778, 481, 188, 13660, 1407, 16, 1664, 434, 248, 1865, 327, 254, 4351, 13891, 282, 6255, 1009, 288, 30204, 16, 188, 7639, 3751, 14, 8940, 1339, 452, 254, 3621, 282, 4149, 348, 2961, 869, 374, 15, 21, 1015, 1922, 4235, 314, 23968, 338, 23, 2819, 274, 1004, 642, 481, 0, 23231, 250, 369, 580, 274, 254, 944, 1726, 8020, 276, 254, 9629, 2803, 28, 695, 4474, 42444, 14, 5072, 44404, 1676, 1064, 14, 5072, 44404, 6797, 2813, 14, 5072, 44404, 2556, 524, 4548, 14, 33102, 14399, 3546, 1711, 403, 1062, 963, 14871, 38997, 447, 274, 436, 9243, 2114, 16, 6868, 250, 5961, 23580, 286, 2072, 3642, 248, 4474, 4188, 274, 22517, 28, 276, 6868, 250, 8707, 9812, 626, 403, 1125, 20794, 14, 417, 756, 18451, 21556, 73, 721, 343, 512, 254, 37940, 286, 3134, 7273, 324, 2072, 30603, 14, 532, 669, 10849, 22517, 14, 3834, 324, 1093, 14, 663, 961, 282, 4010, 6868, 250, 328, 248, 7363, 16, 380, 7407, 2527, 5991, 67, 24095, 8717, 286, 5991, 67, 11694, 67, 6023, 4516, 403, 9394, 2722, 282, 254, 2758, 8906, 286, 37241, 18126, 274, 20794, 286, 378, 8, 36, 9884, 16, 188, 9738, 4149, 11947, 286, 1074, 512, 2066, 20794, 276, 7407, 2527, 14, 2374, 561, 12603, 9856, 286, 19335, 3487, 328, 6868, 250, 2758, 7901, 14, 1926, 633, 17555, 22517, 343, 641, 637, 15, 25479, 16, 1822, 4009, 403, 276, 13646, 85, 286, 24658, 274, 512, 10203, 16, 0, 43, 6159, 407, 21150, 30589, 436, 3998, 286, 1102, 561, 327, 596, 452, 248, 2187, 274, 30589, 324, 9819, 942, 314, 24, 4, 20, 9, 286, 687, 11, 327, 596, 650, 747, 282, 2055, 282, 1041, 2244, 324, 4434, 1921, 3544, 30589, 16, 1838, 603, 368, 1441, 9819, 286, 2731, 324, 272, 26366, 9297, 14, 1012, 311, 248, 1157, 671, 282, 3408, 407, 16, 2512, 8061, 16, 544, 81, 16981, 68, 13591, 16, 2000, 324, 4139, 328, 4189, 286, 2942, 16, 188, 29439, 1093, 274, 441, 274, 3587, 43716, 3906, 282, 29483, 436, 38890, 386, 36009, 286, 10795, 21729, 188, 43, 452, 248, 28300, 851, 1064, 34625, 14, 343, 3148, 867, 282, 254, 4442, 1844, 14, 286, 353, 811, 3563, 67, 12010, 13466, 16, 310, 2033, 28300, 851, 1064, 1012, 2701, 248, 347, 44, 43741, 4, 1921, 16, 500, 43741, 8002, 500, 43741, 15404, 13148, 9, 252, 3, 310, 1328, 417, 272, 30712, 3, 188, 44, 43741, 15404, 13148, 9, 252, 3, 310, 1328, 272, 30712, 3, 0, 18150, 17, 47611, 309, 4896, 17, 26207, 5913, 16, 27910, 3083, 16, 23412, 68, 1471, 16, 9175, 561, 254, 9683, 58, 4117, 1043, 48196, 16, 188, 1130, 457, 85, 643, 248, 1205, 1544, 254, 3083, 369, 3587, 282, 2426, 328, 248, 4242, 3481, 16, 3826, 22712, 14, 633, 2232, 8223, 2427, 457, 86, 1002, 452, 282, 1479, 248, 7123, 282, 751, 1508, 16, 14334, 311, 2156, 4179, 15, 17615, 14, 9121, 2362, 5939, 286, 7142, 274, 18789, 3963, 14, 747, 6873, 1683, 17486, 16, 14334, 311, 1575, 273, 17004 ]

[ 1, 1648, 8562, 11043, 17, 12225, 1314, 2632, 29, 2591, 15, 32726, 15, 504, 1918, 5833, 29, 6259, 14, 5294, 14, 286, 19361, 29, 286, 4163, 286, 4351, 16, 17347, 3395, 7917, 282, 321, 328, 1676, 28147, 2779, 1285, 254, 1615, 1240, 2793, 7913, 274, 8562, 11043, 17, 14609, 41242, 4235, 286, 403, 4780, 944, 2692, 282, 2023, 6453, 1460, 4479, 282, 2479, 3418, 2818, 758, 254, 8562, 11043, 17, 12225, 1314, 9748, 16, 0, 6609, 555, 643, 1181, 27582, 1722, 683, 2539, 14, 353, 434, 643, 3136, 5288, 91, 532, 626, 10916, 625, 643, 1181, 9067, 16, 380, 7845, 1572, 4949, 25684, 12563, 742, 254, 12187, 3800, 274, 254, 8364, 286, 2350, 6214, 286, 1649, 328, 8555, 274, 3017, 1285, 254, 1722, 14, 2328, 353, 6508, 43956, 14, 348, 368, 476, 915, 1788, 16, 188, 3294, 254, 439, 325, 10282, 980, 276, 254, 399, 1293, 252, 25684, 14, 254, 743, 3017, 328, 254, 399, 1293, 252, 555, 1143, 353, 248, 2298, 1708, 5374, 14, 417, 6344, 407, 512, 254, 5288, 16, 1838, 310, 872, 282, 814, 2437, 436, 14, 276, 628, 282, 3408, 12642, 432, 3677, 5276, 742, 14, 532, 669, 282, 1862, 353, 248, 2298, 624, 825, 16, 1664, 403, 3136, 248, 1603, 12773, 38698, 252, 17583, 6507, 14, 593, 310, 872, 282, 321, 9915, 417, 282, 36963, 836, 742, 16, 188, 11434, 19275, 14, 254, 25503, 2098, 7911, 555, 4679, 4634, 687, 286, 3095, 282, 321, 17020, 888, 16, 826, 587, 11586, 743, 6331, 282, 1263, 687, 5603, 17, 1864, 2971, 14, 593, 327, 596, 587, 1157, 1689, 8752, 16, 310, 369, 9600, 282, 1074, 327, 688, 391, 1293, 786, 327, 310, 573, 23089, 1364, 802, 452, 276, 948, 1663, 597, 286, 403, 36522, 428, 603, 368, 997, 9012, 368, 476, 915, 254, 3065, 44221, 1788, 16, 1547, 403, 1603, 276, 1162, 286, 872, 282, 10431, 597, 624, 1063, 310, 476, 1242, 36031, 729, 324, 269, 21383, 16, 188, 686, 254, 7845, 1572, 4949, 25684, 1432, 14, 254, 439, 45289, 980, 311, 1062, 43956, 6124, 16, 496, 948, 14, 310, 1141, 310, 774, 452, 687, 23089, 16, 731, 434, 593, 1837, 282, 751, 977, 14, 974, 670, 368, 1649, 729, 276, 254, 3112, 254, 6073, 403, 2156, 3136, 1330, 286, 626, 311, 1181, 7838, 5979, 1838, 1002, 2101, 310, 1815, 310, 369, 22035, 729, 561, 2151, 14, 4378, 353, 434, 248, 1612, 24949, 265, 16, 188, 35, 1191, 5631, 1995, 361, 684, 53, 13525, 15, 77, 20845, 9, 311, 2731, 1062, 5708, 841, 2674, 13513, 432, 1129, 276, 254, 26785, 18197, 1364, 802, 16, 826, 311, 580, 274, 14848, 434, 763, 6073, 276, 254, 10060, 286, 345, 311, 248, 1612, 11780, 274, 353, 286, 8950, 327, 254, 15688, 262, 3108, 353, 403, 6036, 5203, 353, 2499, 1480, 1181, 16, 1838, 310, 1328, 1438, 282, 13521, 729, 888, 2502, 254, 18795, 282, 1862, 353, 248, 2298, 274, 2245, 16, 310, 872, 282, 1920, 618, 6131, 2748, 1048, 5058, 16, 14414, 14, 345, 311, 977, 16, 188, 510, 16497, 1482, 390, 1190, 67, 555, 669, 8010, 713, 248, 2499, 1733, 4304, 286, 311, 1810, 41262, 254, 323, 3075, 13445, 6185, 1430, 25522, 16, 188, 40498, 1482, 390, 1190, 67, 16, 1395, 476, 22305, 248, 4422, 274, 323, 3075, 13445, 6185, 6331, 282, 254, 1628, 16, 188, 1843, 310, 2314, 254, 4043, 609, 12068, 274, 750, 1016, 1532, 14392, 684, 54, 41747, 609, 5813, 496, 948, 310, 1141, 436, 14, 254, 16497, 1482, 286, 330, 1191, 14, 286, 2049, 343, 254, 270, 1758, 31244, 15147, 262, 20915, 2831, 6292, 14, 512, 563, 2499, 963, 2292, 16, 1547, 811, 872, 248, 2298, 624, 2245, 14, 593, 310, 872, 282, 1141, 668, 843, 310, 476, 12566, 436, 628, 274, 254, 5516, 282, 1862, 254, 6073, 688, 14180, 2244, 16222, 25307, 254, 43956, 1872, 16, 188, 23618, 432, 254, 4617, 274, 254, 5516, 888, 597, 282, 254, 399, 1293, 252, 14, 254, 2916, 46672, 36307, 14, 1129, 9899, 328, 19745, 2049, 254, 18795, 14, 311, 1012, 276, 2057, 10341, 286, 254, 32390, 298, 274, 4028, 555, 2411, 9791, 22060, 2177, 16, 188, 5639, 368, 915, 254, 763, 10366, 304, 265, 1482, 85, 758, 254, 330, 1191, 33, 17334, 254, 17124, 19234, 286, 254, 8138, 3613, 33, 4539, 2211, 368, 476, 625, 14, 348, 836, 6073, 452, 8869, 687, 8010, 729, 3, 310, 1797, 4285, 310, 872, 282, 14076, 254, 3972, 1789, 286, 2055, 729, 11054, 593, 596, 476, 452, 615, 1619, 276, 254, 14, 963, 14, 20654, 16, 826, 587, 321, 248, 2545, 324, 3850, 16, 188, 1253, 368, 476, 915, 758, 254, 5275, 1625, 330, 1191, 14, 330, 1191, 5631, 1995, 361, 684, 29379, 11976, 1358, 311, 248, 1330, 10307, 8138, 3613, 5660, 507, 14, 343, 33385, 8293, 15, 717, 313, 17021, 3096, 3617, 533, 19453, 283, 276, 254, 5288, 16, 188, 4412, 417, 5511, 1181, 4402, 36522, 387, 512, 1364, 802, 14, 17124, 19234, 5160, 5875, 9242, 478, 361, 684, 37, 92, 518, 264, 9, 555, 6715, 561, 286, 555, 4061, 8555, 274, 12068, 16, 26632, 276, 20654, 286, 5058, 1129, 4904, 324, 2541, 12068, 29, 596, 19970, 763, 3498, 276, 618, 362, 511, 276, 254, 35213, 2244, 16, 188, 510, 9796, 68, 6855, 452, 643, 36522, 14, 532, 310, 1328, 5612, 13110, 348, 282, 615, 5081, 16, 1547, 403, 5326, 282, 321, 8086, 318, 11581, 33617, 1303, 15, 3740, 67, 14, 254, 4243, 4647, 10626, 14, 532, 2499, 683, 24817, 687, 282, 580, 1874, 348, 596, 933, 14, 596, 403, 36522, 512, 1444, 254, 8203, 14, 747, 248, 9622, 4647, 10626, 16, 1547, 513, 1311, 452, 254, 46405, 14, 533, 254, 9622, 1038, 625, 14, 286, 596, 1848, 625, 513, 436, 1364, 802, 16, 310, 1652, 254, 42551, 432, 7783, 427, 654, 8025, 14, 663, 403, 1062, 33433, 494, 286, 310, 1797, 1582, 573, 665, 3133, 343, 42551, 432, 729, 16, 1664, 403, 641, 9622, 4647, 68, 6855, 9884, 14, 6569, 276, 618, 10060, 390, 9884, 4254, 14, 593, 310, 1328, 13947, 282, 865, 2075, 596, 3156, 747, 4243, 4647, 68, 6855, 1364, 802, 14, 532, 452, 4251, 282, 997, 747, 9622, 4647, 68, 6855, 436, 802, 3, 188, 43, 1797, 46391, 7783, 427 ]

[ 1, 39518, 16, 2552, 254, 39518, 8655, 327, 596, 497, 12620, 387, 1824, 576, 18, 30027, 286, 25676, 47035, 387, 626, 16, 188, 510, 39490, 555, 687, 607, 20, 23, 24231, 286, 607, 27, 25, 10964, 286, 596, 403, 512, 4783, 343, 248, 1157, 1521, 16, 826, 311, 2075, 436, 39490, 555, 7110, 282, 1041, 248, 1579, 276, 5267, 16, 1664, 311, 248, 15621, 324, 512, 23580, 830, 1015, 2169, 274, 20237, 286, 46187, 403, 6952, 16, 188, 11609, 15, 580, 555, 282, 4149, 495, 16, 23, 465, 973, 282, 3858, 254, 39490, 432, 254, 2758, 16, 188, 9546, 28, 890, 715, 282, 338, 20, 28, 19, 23, 12565, 286, 495, 282, 719, 12565, 16, 188, 510, 9540, 650, 2042, 756, 21812, 16, 495, 590, 1408, 16, 0, 36520, 1481, 81, 14, 272, 21250, 951, 271, 472, 14, 311, 11983, 11400, 274, 254, 378, 2130, 6640, 276, 7930, 3286, 286, 348, 819, 14, 17663, 266, 254, 5861, 274, 254, 1241, 10670, 14, 496, 463, 10781, 401, 273, 398, 14, 367, 7751, 67, 330, 442, 570, 14, 286, 34152, 5195, 27549, 1326, 16, 2936, 15125, 286, 10725, 311, 254, 19363, 273, 274, 4237, 10593, 2248, 14, 272, 7760, 15913, 2828, 407, 254, 6640, 276, 1316, 282, 16545, 7930, 3286, 16, 12227, 282, 254, 3225, 7498, 274, 4704, 4237, 35426, 1243, 14, 254, 42101, 27170, 286, 1615, 500, 7491, 14, 3479, 262, 339, 254, 12420, 14, 555, 1649, 248, 3408, 282, 254, 15913, 16, 1469, 4462, 327, 12836, 248, 6776, 276, 2999, 305, 91, 311, 276, 3972, 8840, 14, 286, 368, 587, 452, 282, 1336, 561, 248, 41271, 17219, 1481, 81, 5122, 616, 3320, 1285, 254, 1409, 309, 1890, 254, 2795, 1414, 16, 188, 8168, 2244, 311, 4301, 276, 254, 19951, 24652, 12561, 328, 254, 3112, 5100, 274, 254, 6649, 286, 345, 3456, 2195, 626, 1033, 2286, 869, 813, 2534, 286, 719, 313, 16, 750, 587, 835, 1074, 520, 7119, 6136, 276, 254, 16153, 830, 345, 28520, 248, 580, 15, 11642, 12217, 387, 813, 313, 16, 750, 19354, 276, 254, 16153, 1863, 338, 18, 313, 670, 345, 9590, 597, 282, 254, 411, 10005, 43055, 962, 324, 248, 1241, 15, 11642, 10864, 343, 34152, 5195, 286, 367, 7751, 67, 314, 2798, 7020, 481, 1997, 338, 2534, 345, 311, 888, 276, 254, 16153, 830, 345, 29789, 254, 2774, 8820, 16, 2646, 248, 580, 15, 11642, 8725, 387, 719, 2534, 345, 4424, 4800, 282, 3598, 16, 826, 5157, 10650, 756, 23029, 2154, 11905, 274, 309, 1890, 254, 2795, 1414, 29, 1863, 835, 14, 17219, 1481, 81, 587, 33416, 1444, 254, 3112, 5100, 274, 254, 378, 2130, 6640, 374, 22, 2942, 248, 1362, 14, 343, 248, 1603, 2135, 15579, 6930, 2622, 16, 188, 36520, 1481, 81, 30262, 248, 867, 274, 3901, 9749, 2049, 343, 248, 4523, 274, 3901, 18713, 16, 750, 15374, 248, 2165, 282, 254, 6649, 286, 248, 5278, 274, 1794, 4806, 286, 5172, 16, 188, 2976, 254, 271, 2130, 9339, 512, 687, 15747, 3318, 587, 1110, 368, 4264, 254, 378, 2130, 6640, 14, 286, 688, 274, 729, 587, 1002, 3624, 254, 11983, 11400, 28, 347, 43, 1141, 254, 378, 2130, 6640, 1503, 321, 2731, 324, 36690, 16, 1395, 933, 3856, 282, 254, 1450, 274, 254, 6649, 14, 17219, 1481, 81, 14, 603, 368, 1441, 5940, 16809, 347, 1982, 368, 563, 626, 14, 2241, 282, 17219, 1481, 81, 16, 750, 434, 254, 1450, 11400, 449, 286, 347, 1982, 368, 1441, 4536, 274, 9184, 14, 2241, 282, 17219, 1481, 81, 276, 7930, 3286, 449, 330, 3782, 432, 1922, 2653, 23460, 500, 6893, 18976, 327, 17219, 1481, 81, 311, 276, 1017, 17227, 28, 347, 22880, 663, 434, 3655, 16, 17219, 1481, 81, 8459, 272, 18574, 254, 642, 1362, 14, 749, 345, 369, 2731, 324, 248, 743, 5805, 16809, 1205, 580, 274, 254, 3371, 387, 254, 6649, 14, 500, 1539, 14, 311, 1637, 17339, 28, 347, 1130, 434, 272, 10120, 282, 452, 17219, 1481, 81, 324, 9514, 328, 14574, 14, 532, 345, 434, 2019, 1480, 10544, 324, 618, 26552, 449, 286, 347, 36520, 1481, 81, 311, 1480, 7317, 343, 11985, 16, 1691, 274, 17594, 33, 47589, 33, 1691, 274, 9646, 859, 188, 2943, 368, 4750, 254, 378, 2130, 6640, 14, 17219, 1481, 81, 587, 14833, 7500, 368, 561, 286, 11380, 9845, 368, 28, 347, 20464, 282, 254, 378, 2130, 6640, 16, 310, 715, 254, 1450, 11400, 1045, 16, 1334, 774, 310, 1336, 368, 859, 2028, 368, 4503, 324, 13814, 14, 345, 587, 3669, 28, 347, 33090, 248, 10986, 282, 2445, 248, 13517, 271, 472, 16, 1395, 933, 321, 6425, 327, 1125, 4503, 532, 360, 2903, 1062, 1603, 942, 16, 2028, 1841, 14, 360, 1602, 25925, 282, 1323, 8663, 254, 6649, 3095, 6140, 16, 496, 436, 1068, 14, 310, 513, 452, 248, 4686, 321, 30740, 272, 28726, 4123, 271, 472, 3150, 750, 587, 835, 2055, 328, 282, 633, 16528, 4686, 14, 5937, 276, 436, 2511, 16, 1678, 14, 345, 587, 1970, 368, 603, 254, 4928, 2073, 555, 5709, 254, 6649, 28, 347, 3530, 1181, 16, 1268, 348, 248, 271, 472, 14, 310, 1074, 254, 2560, 18291, 45620, 16, 1664, 403, 641, 21589, 276, 436, 2073, 16, 1583, 20107, 282, 321, 573, 286, 641, 1491, 6280, 449, 1286, 368, 452, 39925, 7930, 3286, 324, 254, 24195, 43853, 8537, 14, 345, 587, 1767, 436, 3782, 28, 347, 2432, 403, 641, 21589, 276, 436, 2073, 16, 4801, 343, 17526, 72, 693, 1045, 276, 7930, 3286, 14, 626, 403, 641, 20107, 282, 321, 573, 16, 1583, 1491, 6280, 449, 750, 587, 14, 2228, 14, 3906, 328, 248, 2675, 3751, 28, 347, 1982, 368, 961, 1594, 248, 271, 472, 476, 2748, 713, 997, 282, 254, 40072, 16, 330, 7803, 1090, 432, 1012, 15747, 3318, 587, 452, 4251, 35118, 18126, 274, 2008, 532, 254, 1076, 274, 254, 40072, 14, 327, 2835, 311, 2304, 276, 272, 8458, 449, 2028, 2464, 603, 345, 5887, 2626, 668, 254, 40072, 345, 587, 1110, 368, 4264, 520, 18619, 274, 9289, 28, 347, 3530, 1181, 14, 282, 321, 8055, 16, 6971, 1076, 369, 248, 6779, 282, 441, 512, 16, 34152, 5195, 27549, 1326, 555, 688, 282, 6766, 668, 729, 276, 254, 6163, 14, 603, 368, 1441, 5940, 449, 7052, 368, 452, 643, 14823, 713, 254 ]

[ 1, 2363, 1263, 324, 4808, 960, 13882, 23, 29600, 21, 286, 328, 254, 7082, 869, 254, 1508, 286, 439, 43022, 42627, 274, 254, 4742, 286, 254, 1887, 2426, 276, 374, 18, 18, 26, 14, 15113, 537, 11029, 327, 276, 1081, 3978, 254, 15523, 3542, 2315, 14, 1834, 8785, 758, 13266, 3963, 14, 369, 3596, 6936, 14, 1205, 254, 7606, 3491, 15, 36905, 46693, 5775, 67, 497, 1926, 286, 6015, 16, 188, 1212, 641, 14382, 327, 254, 2949, 274, 4714, 7217, 52, 1842, 390, 417, 369, 7043, 348, 254, 29457, 6880, 5641, 476, 3533, 248, 374, 23, 26, 22010, 7473, 33837, 10535, 17162, 5099, 328, 254, 3481, 721, 274, 254, 1508, 16, 40924, 286, 20875, 92, 25066, 14, 6710, 286, 416, 3645, 252, 14, 12345, 14, 11147, 274, 496, 1312, 365, 4885, 374, 18, 19, 21, 14, 24250, 10, 32479, 6013, 45388, 19039, 291, 249, 22570, 374, 274, 254, 5461, 36943, 29820, 6928, 14, 2218, 374, 19, 25, 25, 284, 20, 19, 26, 19, 40608, 14, 6010, 26489, 1516, 1316, 4765, 8849, 3241, 276, 1063, 14425, 30862, 2543, 15, 14417, 28076, 367, 4748, 11, 286, 763, 274, 695, 1090, 14, 4682, 6163, 7674, 11, 286, 2066, 19806, 18769, 34373, 5219, 581, 432, 254, 1316, 274, 14416, 17476, 27427, 85, 286, 13978, 7918, 264, 274, 254, 11147, 7193, 16, 496, 6013, 8489, 40, 22301, 374, 18, 18, 18, 28, 15534, 286, 22484, 274, 496, 31350, 28, 374, 25, 394, 12304, 328, 11290, 309, 33554, 276, 15534, 286, 22484, 274, 496, 31350, 6753, 33768, 14, 20993, 4543, 14, 4452, 374, 23, 1091, 4423, 374, 14, 374, 18, 18, 18, 30170, 282, 10944, 1004, 274, 1241, 6258, 274, 7691, 17785, 6728, 266, 14, 3335, 6013, 12343, 14, 27824, 9726, 581, 248, 2057, 5095, 274, 848, 19, 30999, 3076, 17962, 1339, 1041, 2347, 276, 1316, 16, 5596, 7852, 274, 10061, 6013, 20963, 1632, 34712, 12563, 23870, 1062, 2352, 1922, 15, 38878, 29, 580, 2865, 328, 2982, 24230, 286, 254, 38949, 15754, 328, 3056, 16, 13166, 14, 254, 1427, 20928, 29820, 496, 41704, 28433, 268, 33028, 16633, 14, 286, 16206, 274, 254, 30535, 36804, 862, 16, 22519, 254, 2330, 20928, 6757, 298, 4209, 45433, 338, 27, 27, 27, 20928, 20670, 12544, 8039, 338, 27, 25, 23, 452, 4131, 254, 12816, 274, 1125, 3483, 286, 21517, 28370, 8298, 1063, 338, 26, 20, 18, 14, 276, 6477, 274, 615, 1316, 16, 35118, 374, 18, 18, 26, 286, 3949, 274, 254, 6013, 39668, 274, 14, 276, 254, 427, 435, 15305, 14, 763, 1079, 2317, 452, 254, 8707, 286, 1427, 5834, 18928, 343, 254, 2591, 15, 14688, 420, 286, 254, 1735, 16, 188, 26210, 9494, 286, 4529, 32943, 16, 3699, 14618, 8686, 1008, 36848, 14, 13755, 5602, 8083, 2019, 1042, 836, 4823, 86, 1044, 447, 296, 625, 432, 8428, 46717, 286, 311, 729, 713, 495, 25, 22010, 7473, 33837, 10535, 17162, 38919, 2347, 328, 254, 1865, 19766, 3287, 1635, 407, 13920, 291, 45445, 1822, 4201, 16, 839, 888, 452, 836, 5215, 14, 3713, 343, 254, 10354, 1186, 9588, 294, 327, 13752, 282, 321, 7002, 14, 348, 248, 706, 274, 3395, 14, 286, 4564, 248, 4081, 8698, 9166, 282, 1336, 975, 9932, 432, 5354, 3613, 6013, 282, 836, 24165, 733, 1045, 977, 282, 22189, 254, 944, 16186, 17870, 1312, 16, 18329, 34488, 417, 9862, 11322, 2013, 3751, 28857, 375, 16, 27797, 4669, 3035, 286, 10394, 20246, 388, 710, 14, 2066, 14, 576, 26, 19, 23, 33837, 10535, 32118, 33837, 10535, 17162, 5461, 12304, 328, 10973, 1036, 418, 5038, 3287, 10, 21190, 2554, 15, 20, 18, 19, 22, 581, 6013, 8686, 1008, 36848, 14, 374, 19, 25, 20, 284, 20, 19, 26, 21, 14, 4087, 14, 23738, 6013, 4917, 4808, 4244, 10928, 2363, 1263, 324, 4808, 960, 13882, 23, 29600, 21, 286, 8539, 2013, 1250, 23133, 295, 15, 28903, 4197, 348, 1910, 286, 12302, 9145, 872, 1748, 14, 1648, 33027, 324, 1125, 13387, 29228, 1426, 16, 642, 20969, 324, 417, 40787, 43957, 328, 836, 30764, 14, 24961, 16474, 12820, 398, 14, 2739, 285, 274, 1648, 8660, 1525, 248, 22822, 32966, 14, 348, 248, 3293, 2279, 6013, 282, 248, 34196, 10650, 7074, 536, 27797, 4669, 3035, 286, 10394, 20246, 388, 710, 14, 29484, 14, 4426, 5461, 12304, 328, 10973, 1036, 418, 5038, 3287, 10, 21190, 2554, 15, 20, 18, 19, 22, 581, 14555, 10, 374, 19, 25, 20, 284, 20, 19, 26, 21, 14, 4087, 14, 23738, 9726, 3452, 1427, 338, 27, 27, 21, 23629, 1036, 16450, 3258, 348, 6013, 286, 3335, 7500, 1922, 14, 15002, 6053, 324, 576, 18326, 785, 8662, 16, 0, 1982, 368, 1797, 643, 11871, 324, 44694, 1640, 657, 1099, 411, 434, 268, 398, 706, 354, 917, 85, 390, 368, 1441, 3103, 276, 254, 1631, 4684, 286, 650, 747, 282, 4540, 282, 248, 3564, 8223, 14, 368, 1797, 1663, 282, 10258, 254, 977, 1619, 16, 3730, 387, 772, 657, 1099, 411, 434, 268, 398, 706, 354, 917, 85, 44694, 2072, 9364, 14, 360, 1797, 2449, 3148, 368, 1782, 872, 282, 1074, 633, 1026, 282, 254, 2104, 434, 944, 9604, 657, 1099, 411, 434, 268, 398, 706, 354, 917, 85, 286, 2815, 3462, 286, 3134, 641, 2563, 633, 3258, 17459, 14, 286, 368, 476, 669, 818, 633, 2072, 282, 254, 9364, 286, 1354, 5585, 274, 772, 3989, 15, 22066, 286, 3364, 15, 927, 15, 2255, 2072, 31782, 16, 44694, 311, 1683, 282, 1125, 3184, 657, 1099, 411, 434, 268, 398, 706, 354, 917, 85, 9094, 14, 286, 360, 1797, 7281, 254, 872, 282, 3217, 836, 9094, 286, 615, 2365, 6211, 286, 25728, 2292, 276, 248, 790, 286, 26416, 3026, 16, 1260, 248, 898, 14, 1081, 11045, 286, 4273, 19038, 476, 751, 254, 1062, 1640, 274, 254, 8349, 434, 1575, 282, 4540, 276, 248, 1026, 327, 434, 4479, 1081, 11841, 286, 1708, 1024, 16, 188, 14171, 434, 657, 1099, 411, 434, 268, 398, 706, 354, 917, 85, 2072, 3026, 476, 321, 3989, 11758, 14, 1081, 276, 44694, 286, 4619, 254, 1499, 16, 731, 434, 1726, 282, 4947, 633, 657, 1099, 411, 434, 268, 398, 706, 354, 917, 85, 2072, 3783, 811, 348, 353, 434, 3202, 282, 1323, 3184, 742, 15, 1259, 8899, 17604, 14, 286, 360, 1797, 1143, 254, 1213, 6742, 286, 7728, 282, 1336 ]

[ 1, 4251, 449, 1860, 3603, 254, 13206, 533, 21195, 14, 7051, 14, 286, 15167, 772, 1193, 8030, 16, 1860, 2055, 432, 248, 1619, 274, 1827, 2314, 286, 1919, 432, 1827, 8994, 16, 1860, 3768, 618, 2835, 286, 785, 343, 368, 282, 913, 368, 452, 1495, 4188, 16, 1395, 452, 1495, 4688, 16, 1395, 476, 5053, 959, 16, 188, 4412, 512, 14, 368, 1441, 1845, 580, 4188, 1919, 432, 248, 4196, 1015, 1464, 16, 27880, 2314, 16, 27880, 282, 3051, 4563, 12744, 16, 27880, 282, 2780, 276, 633, 1575, 16, 27880, 6995, 16, 1395, 403, 4269, 353, 16, 0, 41517, 254, 3834, 18020, 327, 2893, 343, 368, 2069, 3544, 311, 7754, 248, 5527, 16, 5891, 254, 1090, 14, 310, 452, 3477, 561, 1015, 3395, 17, 17310, 274, 19137, 1476, 286, 626, 452, 643, 1125, 12478, 348, 963, 348, 37294, 16, 1268, 327, 748, 2701, 436, 1002, 624, 11967, 1544, 626, 3432, 625, 580, 7250, 3541, 390, 248, 7021, 276, 7928, 16, 188, 43, 650, 11380, 5419, 248, 5732, 5612, 2094, 18020, 343, 12478, 977, 328, 254, 28394, 282, 7086, 254, 3544, 286, 1862, 688, 24618, 282, 254, 2069, 5127, 16, 188, 6644, 324, 688, 19137, 1476, 343, 8970, 12932, 286, 18331, 18020, 282, 6477, 561, 254, 2069, 3544, 16, 188, 988, 777, 282, 248, 18020, 343, 248, 1095, 8433, 282, 2706, 272, 24618, 274, 17590, 324, 633, 7250, 3544, 16, 188, 6235, 274, 512, 14, 563, 324, 248, 3524, 20654, 1269, 665, 23205, 4139, 14, 436, 1635, 248, 44036, 997, 407, 17215, 834, 286, 2706, 272, 4813, 24646, 5127, 16, 188, 1368, 452, 254, 7250, 4855, 759, 3544, 286, 368, 476, 7754, 2706, 28394, 532, 9150, 17590, 15, 1510, 1657, 19137, 1476, 16, 188, 19024, 594, 324, 618, 2069, 3544, 14, 310, 5103, 282, 8033, 687, 15, 10037, 19137, 1476, 282, 5228, 254, 3983, 432, 254, 5017, 628, 274, 618, 3544, 16, 1678, 1143, 14, 513, 2780, 327, 9150, 687, 3176, 774, 12021, 79, 254, 3544, 390, 1002, 818, 688, 4325, 12078, 282, 254, 3544, 314, 2770, 310, 35196, 282, 436, 4333, 481, 188, 43, 2314, 327, 368, 3768, 11953, 328, 7928, 1707, 328, 31167, 2069, 5127, 3, 188, 9654, 14, 310, 2314, 254, 10408, 274, 633, 11637, 16, 1838, 1181, 1755, 683, 254, 3524, 14, 5252, 21607, 327, 8752, 7928, 3673, 311, 16, 188, 1253, 248, 5230, 18020, 14, 310, 1623, 747, 254, 10408, 286, 3616, 3, 188, 22608, 436, 1470, 3, 310, 1623, 747, 633, 6915, 14, 353, 434, 1311, 248, 5527, 324, 479, 670, 353, 3144, 282, 19704, 282, 4793, 618, 2069, 1479, 16, 188, 28204, 11637, 3, 826, 3189, 4313, 1247, 328, 368, 3, 188, 510, 18020, 4313, 593, 1157, 328, 368, 16, 310, 2314, 512, 633, 11861, 328, 254, 2069, 12653, 286, 843, 282, 3616, 729, 3, 188, 1516, 11637, 4313, 8418, 328, 368, 16, 9222, 41060, 16, 188, 22608, 254, 10408, 274, 633, 18020, 3, 188, 43, 2314, 436, 18883, 11637, 2129, 188, 17041, 5230, 11637, 276, 5167, 10408, 3, 310, 2314, 633, 997, 1062, 1181, 3, 188, 9556, 254, 3189, 274, 436, 18020, 14, 353, 434, 593, 34162, 16, 188, 1368, 997, 20824, 276, 436, 26245, 3, 1838, 5167, 11637, 3, 188, 28204, 38913, 3122, 1037, 22608, 254, 11637, 286, 695, 3189, 16, 188, 2686, 11637, 311, 1623, 3837, 3, 380, 18883, 18956, 368, 3, 188, 43, 2314, 633, 18883, 20961, 466, 11637, 3, 2155, 4344, 343, 512, 254, 269, 508, 26245, 3, 188, 7542, 299, 39283, 715, 26195, 44194, 6309, 15421, 1706, 934, 299, 17160, 16, 188, 1516, 18883, 11637, 311, 593, 3837, 15404, 418, 11005, 436, 997, 3, 188, 5494, 5398, 254, 26245, 963, 3, 188, 1368, 997, 593, 1247, 276, 436, 11637, 3, 380, 3189, 18956, 368, 282, 25932, 3, 0, 12, 19, 28, 12665, 329, 31543, 330, 14, 7164, 1326, 399, 14, 27943, 28332, 26152, 14, 19109, 6673, 427, 16, 44660, 23059, 324, 715, 91, 42690, 11563, 32338, 17, 42098, 22837, 2642, 16, 39032, 19820, 5455, 297, 3439, 16, 374, 18, 19, 21, 2323, 374, 26, 29, 10, 21, 2192, 3593, 18, 18, 22, 22, 20, 25, 16, 27111, 28, 338, 18, 16, 19, 18, 18, 20, 17, 19, 22, 24, 23, 19, 26, 23, 26, 16, 3325, 18, 18, 22, 22, 20, 25, 16, 13021, 21, 16, 8217, 16, 46562, 5207, 1787, 28, 374, 21, 23, 22, 21, 23, 21, 19, 16, 188, 12, 20, 28, 36, 454, 413, 9745, 14, 6098, 78, 9013, 354, 14, 8529, 29599, 14, 16858, 820, 5525, 14, 24189, 367, 44, 14, 28185, 443, 44, 16, 23571, 274, 1303, 15, 25783, 23059, 328, 5623, 286, 3184, 274, 1464, 276, 1338, 343, 715, 91, 42690, 11563, 32338, 28, 248, 40066, 6363, 2260, 16, 25864, 293, 28418, 1085, 16, 374, 18, 18, 24, 4276, 29, 23, 10, 20, 2192, 19, 22, 18, 15, 25, 16, 46562, 5207, 1787, 28, 338, 24, 22, 20, 24, 27, 27, 18, 16, 0, 988, 16, 34623, 36569, 6625, 15334, 328, 254, 40878, 274, 772, 3015, 286, 360, 403, 27205, 282, 1336, 368, 5127, 248, 17144, 274, 3409, 324, 2764, 14248, 16, 45058, 17212, 403, 7353, 272, 9340, 1726, 286, 4475, 2520, 274, 980, 320, 420, 5851, 324, 657, 16, 34623, 36569, 286, 403, 3256, 17212, 327, 657, 16, 34623, 36569, 587, 4615, 23455, 276, 254, 2764, 16, 380, 657, 16, 34623, 36569, 6625, 476, 1336, 368, 4962, 633, 1034, 1283, 7148, 286, 7688, 633, 17144, 274, 32989, 4782, 324, 14248, 282, 1663, 16, 1547, 2156, 2023, 5215, 314, 20056, 286, 2802, 11, 282, 254, 14369, 348, 963, 348, 282, 657, 16, 34623, 36569, 14, 286, 2023, 1726, 1305, 324, 254, 657, 16, 34623, 36569, 16, 188, 12144, 1283, 4782, 286, 9107, 31145, 282, 254, 657, 16, 34623, 36569, 6625, 774, 321, 1143, 1125, 3956, 14, 1648, 34967, 17212, 286, 8085, 43420, 29, 368, 476, 40964, 657, 16, 34623, 36569, 6625, 348, 248, 32230, 274, 248, 587, 390, 4377, 14, 14655, 2035, 14, 1464, 6329, 3526, 14, 4171, 2320, 390, 5574, 5710, 14, 390, 32989, 1394, 4377, 16, 1286, 1851, 272, 5851, 5379, 311, 1726, 282, 368, 14, 248, 32989, 8901, 2381, 10257, 390, 32989, 6242, 4377, 774, 321, 272, 4360, 16, 0, 8799, 416 ]

[ 1, 21196, 4602, 4285, 282, 563, 888, 282, 7464, 5978, 14, 532, 701, 4212, 254, 801, 6887, 701, 11068, 16, 330, 10438, 1382, 13039, 254, 5183, 14, 254, 4718, 324, 254, 39179, 16, 188, 5125, 1275, 10620, 561, 254, 1874, 276, 254, 4853, 274, 254, 2543, 16, 3479, 15996, 3416, 282, 30282, 13384, 268, 82, 6401, 348, 695, 29915, 324, 254, 1708, 274, 254, 6815, 16, 1469, 4212, 763, 10193, 1312, 14, 1063, 2916, 2295, 10663, 457, 85, 19985, 4951, 354, 9814, 3891, 573, 254, 944, 13562, 4212, 274, 254, 1362, 14, 248, 8550, 3894, 282, 3555, 1628, 1631, 16, 354, 9814, 3891, 8461, 25213, 276, 282, 2543, 2530, 14, 348, 616, 2214, 1649, 597, 695, 19530, 1382, 274, 254, 2099, 314, 25, 15, 19, 481, 188, 44700, 363, 4870, 21321, 3268, 1587, 1055, 1683, 354, 9814, 3891, 16, 8829, 16306, 286, 248, 4212, 27189, 1318, 1938, 14, 2916, 2295, 10663, 6140, 695, 1250, 2537, 15, 6149, 39179, 282, 1394, 338, 18, 15, 19, 16, 496, 254, 4853, 274, 254, 10438, 14, 5891, 1275, 7233, 354, 570, 36435, 286, 1938, 11374, 14, 841, 16824, 5832, 4774, 328, 272, 2160, 314, 19, 18, 15, 20, 481, 5891, 1275, 4438, 561, 254, 2099, 343, 248, 9709, 483, 14, 348, 254, 4813, 286, 248, 2630, 671, 2615, 26479, 14, 841, 1694, 3316, 27826, 16, 188, 5125, 1275, 391, 16500, 597, 338, 19, 9709, 8128, 276, 616, 763, 15, 6149, 314, 530, 12093, 11, 561, 273, 328, 580, 4212, 286, 4941, 16306, 16, 21321, 3268, 457, 85, 15811, 15867, 2916, 2295, 10663, 457, 85, 1362, 742, 14737, 14, 348, 701, 669, 5781, 763, 416, 5988, 14, 11996, 343, 43958, 3157, 92, 1318, 324, 254, 2214, 1394, 16, 188, 9984, 5886, 314, 39279, 581, 4851, 457, 85, 1017, 15, 19247, 8178, 29926, 324, 338, 23, 6438, 328, 338, 26, 12478, 14, 1205, 3089, 5585, 274, 2712, 3479, 15996, 14, 4851, 16306, 282, 3223, 254, 367, 2344, 338, 22, 55, 4117, 23601, 30179, 2820, 3525, 11899, 3929, 2334, 1715, 5198, 338, 23, 15, 24, 16, 188, 9984, 5886, 9129, 1493, 254, 14351, 276, 254, 1708, 274, 254, 801, 343, 1241, 6438, 6524, 282, 248, 14941, 11111, 25339, 416, 5988, 3112, 561, 343, 254, 14002, 10331, 286, 248, 763, 15, 52, 5988, 1956, 597, 254, 4617, 407, 35236, 3126, 8003, 45139, 16, 380, 21820, 497, 888, 387, 353, 276, 254, 1708, 274, 254, 2543, 407, 14351, 1241, 959, 16, 32582, 18957, 916, 16500, 272, 416, 5988, 3893, 282, 1628, 1631, 14, 286, 841, 27021, 2543, 1285, 254, 1689, 387, 15, 13053, 14, 701, 11374, 328, 272, 1638, 42075, 3339, 14766, 26730, 17284, 8550, 16, 8003, 45139, 5781, 616, 2543, 416, 5988, 274, 254, 1362, 14, 670, 701, 1587, 1055, 1683, 25339, 314, 24, 15, 18, 481, 188, 9984, 5886, 25157, 11635, 268, 17160, 46503, 26418, 763, 4717, 1391, 27826, 282, 3034, 254, 2099, 14, 532, 3479, 15996, 2188, 3486, 276, 254, 4853, 274, 254, 2543, 16, 7667, 15, 584, 1662, 4844, 2530, 12478, 3849, 282, 3479, 15996, 457, 85, 801, 286, 1250, 6438, 274, 254, 2099, 14, 286, 835, 27645, 27963, 5398, 265, 248, 3893, 713, 1628, 1631, 324, 763, 624, 314, 24, 15, 22, 481, 5596, 3112, 8128, 286, 248, 9709, 483, 7207, 254, 17719, 14, 348, 3479, 15996, 1102, 1464, 16, 188, 33292, 1874, 807, 1649, 2626, 2292, 742, 14737, 276, 254, 6815, 39179, 16, 4270, 5886, 9129, 254, 2099, 1493, 286, 10565, 254, 3929, 23167, 457, 85, 9986, 276, 254, 1708, 274, 254, 10438, 16, 188, 510, 21820, 24188, 4079, 343, 1694, 15, 584, 1662, 4844, 2530, 12478, 274, 615, 1193, 286, 835, 248, 2849, 14, 533, 3849, 282, 763, 6438, 314, 26, 15, 22, 481, 2646, 248, 8550, 561, 14, 21007, 13798, 1203, 18424, 9831, 248, 3894, 713, 977, 1631, 324, 248, 3893, 14, 14351, 3339, 14766, 26730, 286, 25339, 14, 1205, 25553, 8003, 45139, 282, 2543, 16, 8003, 45139, 835, 11374, 328, 272, 2160, 282, 1649, 616, 2214, 597, 4941, 6438, 16, 188, 8450, 15996, 852, 417, 22551, 16, 2323, 13191, 36843, 18777, 276, 21520, 1704, 34769, 328, 248, 3112, 483, 286, 23200, 3990, 2009, 91, 5986, 1587, 1055, 1683, 354, 570, 35409, 282, 2541, 254, 4270, 5886, 1394, 282, 2537, 314, 19, 19, 15, 24, 481, 12182, 14, 327, 369, 348, 2722, 348, 3479, 15996, 650, 751, 14, 348, 254, 2214, 6323, 7224, 804, 14737, 276, 254, 1708, 274, 254, 15085, 16, 188, 13655, 6160, 9681, 2502, 1694, 6438, 324, 4270, 5886, 14, 348, 254, 8178, 6165, 4805, 328, 254, 2530, 11544, 16, 380, 2214, 835, 2828, 1051, 254, 7374, 804, 14737, 276, 254, 4853, 274, 254, 15085, 407, 22462, 273, 763, 3479, 15996, 2530, 29375, 282, 7688, 254, 3223, 16, 188, 38599, 10193, 1312, 324, 4270, 5886, 5781, 4331, 15, 25921, 3830, 14, 15867, 407, 15797, 2011, 30744, 286, 25339, 14, 663, 1081, 2194, 265, 1241, 12478, 1004, 16, 8003, 45139, 3849, 254, 13119, 343, 1694, 416, 5988, 16, 1180, 3479, 15996, 14, 35409, 286, 34769, 497, 254, 13047, 6851, 343, 763, 12478, 1004, 16, 27963, 457, 85, 763, 416, 5988, 3849, 3479, 15996, 16, 188, 510, 42204, 14, 21401, 5520, 14, 533, 369, 3849, 407, 4832, 29915, 1201, 781, 15113, 21670, 14, 332, 339, 1055, 254, 17876, 293, 314, 58, 446, 5832, 280, 581, 4851, 27189, 276, 254, 5072, 298, 2527, 338, 26, 55, 15294, 2099, 274, 254, 4117, 23601, 30179, 2820, 3525, 11899, 314, 23, 15, 19, 11, 545, 7420, 282, 42204, 9619, 695, 1250, 15, 584, 1662, 4844, 3929, 16, 188, 25502, 21670, 32293, 248, 3316, 2099, 314, 16702, 27826, 581, 6755, 811, 580, 1382, 328, 1241, 12478, 286, 1241, 16306, 14, 1205, 13260, 561, 7261, 276, 254, 3223, 16, 188, 58, 446, 5832, 280, 25157, 19985, 21897, 30744, 13011, 15113, 21670, 10990, 15, 1507, 15, 44097, 286, 561, 15, 1507, 15, 483, 939, 254, 2099, 457, 85, 801, 763, 27826, 14, 348, 254, 2099, 6204, 4717, 1391, 16, 188, 510, 21401, 4574, 9129, 939, 276, 254, 1708, 274, 254, 2543, 16, 2640, 580, 561, 14, 6870, 17831, 87, 26638, 1587, 1055, 286, 369, 271, 15770, 1444, 282, 2543, 407, 6221, 6631, 87, 325, 16, 6631, 87, 325, 835, 25177, 1250 ]

[ 1, 1040, 16, 188, 510, 2080, 328, 436, 4282, 311, 6702, 407, 9201, 16, 8064, 276, 512, 254, 1460, 311, 2828, 407, 354, 530, 1719, 1893, 255, 16, 38531, 311, 6980, 324, 368, 282, 1806, 254, 2080, 328, 436, 4282, 286, 282, 5166, 254, 2080, 324, 633, 3258, 3681, 16, 1395, 933, 417, 1949, 3378, 14, 9741, 14, 889, 390, 16499, 254, 2080, 276, 665, 1026, 5569, 368, 3915, 3427, 8969, 432, 354, 530, 1719, 1893, 255, 407, 29473, 441, 939, 772, 2960, 3135, 328, 436, 4282, 16, 188, 22, 16, 26, 2640, 2657, 282, 13234, 576, 16, 25, 368, 403, 11152, 282, 16499, 1460, 2969, 254, 889, 274, 4708, 282, 2591, 3310, 390, 2543, 3027, 889, 2228, 756, 670, 2152, 1269, 10943, 16, 188, 1516, 3526, 5085, 561, 843, 286, 670, 360, 4672, 14, 2120, 14, 889, 286, 17110, 633, 3258, 1460, 16, 188, 23, 16, 19, 839, 774, 9741, 390, 14611, 436, 3526, 387, 665, 671, 286, 324, 665, 1865, 16, 188, 3350, 960, 436, 2586, 368, 7378, 282, 772, 10602, 274, 633, 3258, 1460, 276, 8726, 343, 436, 3526, 314, 285, 13425, 432, 671, 282, 671, 481, 188, 35, 16, 2028, 368, 2023, 1460, 282, 441, 3468, 14, 324, 1610, 14, 407, 368, 10160, 441, 272, 4436, 9009, 4123, 668, 1460, 12255, 282, 441, 390, 772, 3462, 390, 3134, 16, 188, 36, 16, 11648, 633, 889, 274, 436, 2586, 286, 254, 3134, 286, 12816, 5740, 939, 353, 16, 188, 24, 16, 19, 1860, 3054, 254, 3462, 286, 3134, 360, 3831, 939, 436, 2586, 16, 188, 24, 16, 20, 1860, 3669, 282, 633, 18685, 16, 188, 24, 16, 21, 1860, 818, 282, 772, 354, 530, 1719, 1893, 255, 5287, 593, 360, 774, 4017, 368, 274, 2628, 85, 14, 38894, 14, 5961, 286, 3284, 2969, 4436, 390, 1470, 16, 188, 24, 16, 22, 5931, 642, 4462, 533, 360, 774, 23859, 368, 274, 387, 254, 671, 254, 1460, 311, 5563, 16, 188, 25, 16, 19, 1860, 772, 8349, 2497, 11645, 314, 71, 16, 73, 16, 276, 1316, 282, 4513, 254, 1460, 481, 188, 25, 16, 20, 7693, 254, 13533, 311, 276, 4458, 343, 580, 274, 254, 6206, 324, 533, 254, 1460, 369, 5563, 16, 188, 25, 16, 21, 7693, 360, 403, 2347, 390, 13663, 407, 1533, 282, 1041, 13533, 16, 188, 25, 16, 22, 24541, 348, 2449, 1788, 14, 360, 587, 417, 3768, 633, 3258, 1460, 343, 665, 642, 2543, 4532, 16, 839, 774, 2023, 4440, 9725, 668, 4076, 14, 2586, 889, 14, 4681, 324, 4479, 3462, 14, 3134, 14, 8946, 286, 1460, 14, 6948, 5957, 14, 286, 2815, 2586, 1460, 282, 33433, 494, 2543, 4532, 29, 2228, 14, 836, 9725, 587, 417, 2408, 665, 1460, 533, 11380, 21953, 368, 16, 188, 25, 16, 24, 16, 20, 2003, 633, 4139, 513, 417, 3073, 328, 772, 5287, 16, 188, 1368, 476, 1041, 2462, 282, 633, 3258, 1460, 407, 29473, 441, 939, 772, 2960, 3135, 328, 436, 4282, 16, 188, 1212, 756, 4436, 368, 603, 368, 961, 441, 282, 16, 839, 513, 417, 4856, 4910, 3312, 949, 16076, 16, 2028, 368, 8521, 633, 4436, 2859, 343, 441, 14, 368, 5053, 282, 4615, 4436, 41686, 668, 3134, 286, 38894, 432, 441, 16, 5830, 4436, 3808, 360, 4856, 3672, 272, 4436, 2859, 282, 533, 368, 476, 3669, 16, 1286, 387, 665, 671, 368, 7415, 368, 513, 417, 961, 282, 4615, 772, 16076, 14, 3256, 11917, 286, 276, 254, 2186, 1360, 1479, 254, 2906, 769, 329, 30336, 6423, 0, 20690, 2116, 331, 3404, 20, 888, 432, 254, 15659, 369, 3061, 772, 944, 23888, 37813, 436, 802, 14, 1544, 360, 2417, 265, 254, 556, 13632, 274, 4829, 20955, 286, 254, 26767, 274, 21454, 16, 1678, 14, 360, 497, 25858, 5785, 1215, 13400, 343, 272, 19299, 2332, 274, 8453, 286, 436, 34228, 248, 8167, 47528, 2332, 274, 12078, 276, 254, 6029, 16, 1260, 1668, 15, 11957, 398, 23519, 254, 8434, 742, 274, 615, 8924, 924, 286, 2784, 12935, 3297, 17695, 254, 2099, 14, 18356, 248, 13317, 7846, 2746, 14, 2486, 14, 254, 763, 4314, 14560, 387, 254, 1708, 497, 1845, 39883, 3613, 286, 26547, 14954, 24, 16, 188, 1843, 626, 3517, 254, 1897, 29, 663, 311, 254, 1708, 331, 3404, 20, 2214, 33, 19932, 254, 13940, 13623, 387, 254, 11179, 354, 1384, 40, 374, 18, 19, 25, 14, 436, 369, 12864, 315, 9325, 16, 3730, 457, 85, 843, 353, 457, 85, 6327, 563, 29, 360, 457, 619, 2023, 368, 343, 254, 21444, 14, 1922, 3015, 7697, 14, 642, 4139, 286, 368, 476, 1041, 633, 2482, 407, 254, 980, 274, 436, 3802, 16, 188, 1435, 457, 85, 5288, 254, 8657, 888, 282, 254, 45926, 32364, 11899, 1800, 21, 1091, 813, 18, 18, 16594, 4269, 274, 10040, 311, 387, 13467, 286, 26547, 14954, 24, 286, 39883, 3613, 403, 1081, 3103, 16, 39883, 3613, 403, 17715, 3435, 561, 274, 14655, 14, 343, 769, 39534, 7324, 769, 88, 18277, 7324, 769, 18455, 466, 1747, 7324, 769, 52, 19, 77, 666, 286, 769, 36, 753, 77, 92, 2213, 666, 10601, 282, 2120, 597, 254, 17144, 274, 254, 14069, 1390, 16, 388, 10898, 497, 1017, 14, 756, 282, 321, 24173, 348, 254, 21454, 497, 5701, 248, 1708, 495, 8195, 286, 944, 650, 5041, 327, 596, 758, 468, 10298, 16, 26547, 14954, 24, 328, 254, 642, 1116, 14, 6432, 407, 769, 85, 277, 19, 903, 7324, 769, 20109, 40, 72, 7324, 769, 36, 21, 52, 84, 21800, 7324, 769, 24474, 19, 413, 666, 286, 769, 32221, 92, 7324, 1851, 813, 331, 3404, 20, 14405, 4314, 758, 254, 4182, 1390, 274, 401, 1588, 43121, 14, 2350, 328, 282, 248, 801, 1619, 8195, 14, 3448, 298, 599, 26947, 3622, 254, 1708, 2214, 16, 1997, 436, 1110, 626, 3470, 457, 86, 1181, 15973, 14, 2486, 626, 369, 254, 745, 22983, 4205, 327, 26547, 14954, 24, 403, 756, 254, 1640, 603, 596, 476, 513, 353, 512, 687, 959, 16, 188, 2686, 457, 85, 830, 254, 11179, 354, 1384, 40, 374, 18, 19, 25, 3144, 276, 14, 29071, 3280, 328, 254, 18923, 85, 274, 254, 15948, 1305, 841, 1648, 254, 10375, 3929, 14, 360, 3256, 573, 282, 2408, 353, 276, 254, 6081, 2288, 274, 254, 802, 1091, 1002, 12581, 331, 3404, 28, 22811 ]

[ 1, 4549, 19143, 3819, 16, 731, 555, 248, 2196, 9670, 19143, 3819, 286, 4279, 272, 23888, 14, 963, 4652, 4549, 19143, 10825, 282, 2683, 328, 254, 4549, 2703, 830, 626, 403, 248, 34639, 274, 8856, 282, 21387, 16, 380, 5715, 587, 15813, 1996, 387, 8251, 15195, 1209, 7626, 40964, 1245, 390, 387, 7626, 1245, 16, 1860, 6429, 348, 248, 7626, 25925, 587, 2353, 688, 1527, 16, 0, 36752, 16, 20, 21, 10371, 363, 300, 11674, 15946, 37372, 11225, 18246, 16, 19, 19, 21487, 300, 2984, 276, 254, 20835, 18818, 16, 19, 22, 4669, 3035, 883, 4389, 12324, 16, 19, 20, 9547, 371, 3982, 16, 20, 22, 14472, 685, 78, 7200, 777, 16, 18, 27, 16, 19, 20, 16, 19, 22, 16, 19, 24, 16, 20, 21, 16, 18, 20, 16, 19, 19, 16, 20, 18, 16, 18, 22, 16, 19, 25, 16, 19, 26, 16, 19, 26, 16, 19, 23, 16, 19, 24, 16, 19, 24, 8739, 300, 22839, 33638, 16, 188, 2300, 347, 40, 14725, 360, 4285, 327, 369, 248, 7924, 274, 671, 16, 188, 15525, 282, 29183, 16, 21, 19, 16, 18, 22, 314, 54, 4151, 254, 15976, 309, 2189, 748, 8, 521, 375, 29, 85, 254, 980, 274, 39210, 8, 521, 375, 29, 85, 5130, 888, 15, 6713, 273, 2835, 33, 1130, 807, 8, 521, 375, 29, 307, 643, 4078, 309, 600, 3, 55, 12873, 427, 6658, 22053, 311, 2430, 254, 289, 3507, 8288, 412, 3, 23076, 28033, 16, 19, 23, 16, 19, 24, 16, 19, 26, 16, 20, 18, 16, 20, 21, 16, 20, 22, 16, 19, 21, 16, 20, 22, 16, 20, 23, 10625, 296, 3675, 16, 18, 20, 13356, 885, 300, 1676, 2333, 382, 16, 18, 21, 1201, 1930, 16, 41, 30850, 28, 500, 1888, 345, 2529, 396, 659, 1289, 300, 92, 1220, 16, 510, 4987, 274, 254, 21056, 23706, 276, 374, 18, 18, 25, 16, 2899, 801, 2956, 8311, 1444, 2289, 338, 19, 14, 348, 628, 274, 254, 20875, 6180, 2857, 6881, 4580, 8, 521, 375, 29, 85, 14164, 5293, 16, 188, 9059, 3613, 8, 521, 375, 29, 85, 9962, 286, 7956, 3430, 77, 403, 1311, 348, 2448, 1788, 407, 8834, 5945, 6167, 14, 343, 254, 9962, 1129, 4136, 276, 2824, 274, 254, 8223, 14, 286, 7956, 3430, 77, 1129, 3798, 977, 16, 14644, 15202, 13194, 75, 16, 19, 19, 21295, 286, 67, 16, 18, 23, 17774, 91, 1795, 9330, 16, 20, 22, 852, 465, 24788, 279, 69, 5888, 554, 3223, 14419, 21309, 16, 19, 21, 7439, 47758, 16, 686, 712, 1412, 725, 250, 5951, 14, 830, 1694, 9862, 403, 16897, 14, 18796, 4665, 2477, 282, 687, 16, 22, 6320, 7489, 862, 14, 687, 15, 23450, 254, 16, 24, 6320, 7489, 862, 8697, 18031, 432, 254, 1350, 286, 9670, 7363, 16, 16818, 368, 4356, 811, 19793, 775, 33, 1931, 835, 959, 22907, 19, 22, 353, 8, 521, 375, 29, 85, 4095, 327, 39210, 311, 5498, 683, 43553, 314, 2406, 298, 360, 2102, 865, 311, 495, 23, 481, 1304, 573, 248, 7389, 27045, 4756, 40763, 16, 19, 18, 663, 345, 573, 282, 4856, 282, 39490, 670, 353, 4212, 13021, 38201, 16, 20, 19, 16, 28940, 311, 615, 5575, 14, 732, 35925, 343, 2982, 5536, 282, 1110, 561, 688, 274, 254, 3784, 869, 14064, 286, 16, 1130, 2427, 8, 521, 375, 29, 86, 1041, 3177, 449, 15695, 282, 29183, 16, 18, 18100, 17, 47920, 8118, 16, 18, 19, 1822, 11072, 254, 11194, 3848, 5308, 4966, 33077, 21681, 348, 13254, 443, 7504, 2048, 1704, 91, 18495, 348, 33493, 443, 7504, 17800, 21212, 348, 43553, 46653, 12092, 2009, 5458, 1352, 348, 39210, 15202, 13194, 75, 25474, 740, 39149, 348, 22039, 24248, 5945, 22009, 16, 188, 20, 16, 20, 22, 8229, 311, 347, 15898, 14929, 4, 314, 24946, 949, 348, 3610, 276, 380, 2514, 465, 1343, 5047, 1908, 81, 2063, 16632, 2588, 374, 18, 19, 25, 2640, 3610, 6006, 0, 14918, 1249, 11571, 20670, 319, 311, 272, 4095, 8927, 4301, 276, 254, 21741, 4610, 274, 388, 1277, 25575, 14, 3605, 9495, 16, 26863, 11318, 1525, 2819, 432, 5707, 3859, 1275, 14, 286, 309, 2609, 646, 12782, 14, 8583, 476, 4126, 1129, 2734, 254, 27446, 15421, 505, 268, 9938, 1089, 14, 9884, 2233, 30961, 14, 15256, 13151, 14, 14696, 14, 286, 321, 4301, 276, 254, 5557, 9619, 309, 2609, 646, 4580, 4272, 16, 20798, 743, 21741, 41322, 1318, 8841, 14, 11984, 432, 338, 14, 26, 21, 18, 15, 20, 14, 18, 26, 19, 6106, 4525, 14, 587, 321, 6311, 315, 35764, 286, 4024, 282, 4042, 633, 3616, 286, 7363, 16, 188, 6, 20, 23, 23, 14, 25, 19, 18, 1027, 338, 27, 27, 25, 323, 83, 401, 86, 16, 188, 6, 20, 23, 18, 14, 18, 18, 18, 1027, 338, 26, 21, 18, 323, 83, 401, 86, 16, 188, 6, 20, 24, 18, 14, 18, 18, 18, 1027, 374, 18, 26, 19, 323, 83, 401, 86, 16, 188, 6, 20, 23, 20, 14, 18, 18, 18, 1027, 338, 27, 20, 18, 323, 83, 401, 86, 16, 188, 6, 20, 23, 18, 14, 22, 23, 18, 1027, 338, 26, 21, 18, 323, 83, 401, 86, 16, 188, 6, 374, 23, 18, 14, 18, 18, 18, 1027, 338, 26, 21, 18, 323, 51, 16, 401, 86, 16, 188, 6, 374, 23, 20, 14, 18, 18, 18, 1027, 338, 27, 20, 18, 323, 51, 16, 401, 86, 16, 188, 6, 374, 23, 23, 14, 25, 19, 18, 1027, 338, 27, 27, 25, 323, 51, 16, 401, 86, 16, 188, 6, 374, 24, 18, 14, 18, 18, 18, 1027, 374, 18, 26, 19, 323, 51, 16, 401, 86, 16, 0, 43, 4285, 282, 3109, 597, 618, 12061, 2099, 324, 31893, 434, 6086, 436, 802, 286, 1574, 2430, 1594, 1015, 16, 310, 452, 643, 2328, 35180, 314, 264, 7290, 2996, 10077, 353, 11, 1544, 310, 807, 1431, 4977, 1245, 282, 254, 4678, 86, 2609, 14, 532, 310, 452, 1582, 347, 297, 24926, 4, 2626, 15829, 248, 31490, 32855, 16, 1838, 310, 3155, 436, 369, 1438, 282, 321, 580, 324, 254, 4945, 16, 188, 510, 13242, 327, 310, 1707, 618, 2629, 742, 274, 4315, 39092, 14, 593, 310, 2263, 254, 17335, 274, 6069, 688, 274, 618, 1193, 4325, 12347 ]

[ 1, 2129, 188, 40876, 264, 8470, 5448, 1923, 411, 1254, 4732, 38144, 30127, 327, 254, 593, 15, 8661, 323, 5181, 434, 43546, 311, 272, 2856, 42288, 1661, 418, 8816, 432, 27385, 286, 345, 555, 5770, 436, 418, 8816, 282, 254, 5979, 14, 939, 520, 23127, 2129, 188, 39190, 4529, 41730, 344, 256, 569, 432, 8061, 16, 46337, 14082, 16, 549, 10482, 248, 6840, 327, 311, 3364, 282, 6725, 633, 15411, 1464, 16, 188, 26206, 20254, 3430, 629, 6971, 16400, 347, 1304, 1208, 434, 43546, 4, 3051, 387, 416, 518, 8499, 13570, 16, 21221, 20254, 6567, 28, 5817, 1333, 2614, 16, 23770, 16, 679, 17, 18943, 20254, 27663, 17, 28319, 772, 3015, 28, 3817, 1333, 21065, 8499, 16, 679, 8183, 6797, 570, 28, 5817, 1333, 2614, 16, 23770, 16, 679, 17, 21065, 41703, 325, 892, 5817, 1333, 2614, 16, 23770, 16, 679, 17, 21065, 24615, 613, 5817, 1333, 2614, 16, 23770, 16, 679, 17, 21065, 376, 16880, 72, 9354, 5817, 1333, 2614, 16, 6657, 11741, 16, 679, 17, 21065, 41703, 325, 892, 5817, 1333, 2614, 16, 16244, 16, 679, 17, 21065, 41703, 325, 892, 7560, 8997, 4309, 1287, 5312, 39, 324, 624, 10280, 28, 5817, 1333, 2614, 16, 23793, 16, 679, 17, 52, 518, 8499, 28981, 330, 39230, 92, 17572, 10977, 91, 251, 267, 2357, 16, 27384, 314, 52, 16, 39, 16, 37, 2612, 7034, 45133, 1027, 11526, 27384, 706, 26618, 4167, 1027, 11107, 706, 15976, 27384, 1027, 8183, 10967, 9241, 1027, 416, 41026, 16880, 14550, 706, 30858, 1027, 24882, 11100, 14, 18459, 273, 706, 11050, 1027, 1948, 1702, 877, 343, 416, 518, 8499, 13570, 3817, 1333, 2757, 544, 16, 679, 347, 1304, 1208, 434, 43546, 4, 12477, 17690, 28, 15623, 5246, 3834, 28603, 403, 8311, 597, 276, 10554, 1663, 286, 915, 748, 368, 1143, 479, 513, 5243, 17368, 27587, 403, 7362, 479, 9391, 997, 748, 368, 1143, 479, 513, 1012, 327, 695, 687, 360, 1441, 417, 1041, 641, 15579, 14, 670, 16136, 13610, 751, 1480, 2019, 670, 368, 1441, 3690, 513, 368, 6840, 33, 1218, 869, 836, 3005, 310, 16, 3217, 441, 888, 282, 14, 3217, 441, 888, 282, 16, 3217, 441, 888, 282, 830, 360, 497, 14, 3217, 441, 888, 282, 830, 360, 497, 16, 826, 4577, 3144, 276, 11624, 11179, 43694, 11179, 43694, 11179, 43694, 11179, 43694, 11179, 3, 188, 8908, 47850, 43546, 2701, 4341, 1052, 282, 33171, 55, 5805, 3879, 668, 616, 6840, 16, 188, 35, 43546, 324, 272, 906, 18082, 2059, 43546, 7607, 17, 2028, 360, 12175, 14, 353, 457, 85, 1726, 282, 2780, 254, 4932, 274, 748, 360, 403, 32401, 16, 3699, 3117, 13017, 476, 33708, 772, 15411, 1464, 16, 2028, 360, 2780, 248, 6840, 274, 254, 8819, 14, 353, 457, 85, 1837, 282, 12175, 343, 5839, 16, 6338, 466, 1357, 8468, 33708, 15411, 16, 731, 457, 85, 1837, 282, 12175, 12864, 24056, 670, 360, 403, 21465, 14, 769, 13248, 2427, 457, 86, 2314, 479, 7324, 769, 43, 457, 79, 248, 4293, 7324, 769, 43, 476, 457, 86, 513, 2626, 977, 7324, 769, 43, 457, 79, 10661, 407, 3997, 14, 1648, 2572, 6423, 1286, 360, 2780, 327, 2572, 2427, 457, 86, 2314, 441, 390, 1521, 14, 843, 476, 360, 2780, 327, 750, 587, 3541, 772, 24056, 33, 1286, 360, 2780, 327, 360, 403, 10661, 286, 248, 4293, 14, 843, 476, 360, 12175, 276, 5839, 668, 772, 30624, 33, 21326, 1125, 3888, 13017, 587, 8770, 772, 15411, 1464, 16, 2028, 360, 2780, 248, 6840, 14, 360, 2411, 3893, 15, 22921, 276, 15411, 16, 3699, 2196, 15102, 33708, 772, 24056, 974, 360, 2411, 3893, 15, 22921, 428, 40798, 1055, 14, 5019, 47355, 14, 2630, 15, 31728, 14, 286, 8539, 276, 15411, 670, 360, 2780, 248, 6840, 16, 826, 15411, 587, 1336, 368, 452, 272, 440, 18082, 2059, 15411, 1464, 16, 188, 1253, 403, 15411, 20528, 14, 286, 933, 15169, 321, 960, 729, 33, 43546, 20528, 403, 900, 407, 248, 5081, 274, 30076, 1648, 15277, 317, 14, 29100, 1322, 14, 411, 281, 39202, 14, 31891, 14, 286, 4727, 78, 958, 14, 286, 403, 889, 324, 15411, 14, 23225, 14, 286, 17493, 376, 16, 1691, 1042, 254, 13166, 1623, 1309, 668, 15411, 20528, 33, 1691, 1042, 254, 13166, 1623, 1309, 668, 32401, 254, 685, 85, 551, 33, 188, 46, 7070, 885, 34769, 314, 38, 15, 4141, 11, 26151, 85, 1223, 418, 447, 1997, 330, 43546, 655, 305, 301, 16, 188, 1516, 369, 272, 732, 38054, 16313, 324, 15411, 14, 343, 2006, 1922, 18241, 6432, 16, 418, 7070, 885, 34769, 28539, 5785, 2144, 343, 616, 4403, 28697, 286, 1956, 15, 4464, 14951, 2263, 687, 254, 26223, 43546, 655, 305, 301, 16, 1469, 13583, 616, 17548, 14, 9795, 668, 254, 37001, 19324, 29377, 327, 701, 13896, 324, 286, 18815, 327, 701, 1848, 625, 751, 248, 2014, 6975, 14, 533, 369, 248, 6840, 16, 839, 497, 626, 324, 15411, 1205, 701, 369, 626, 282, 4403, 16, 188, 21172, 1171, 254, 1800, 19, 6840, 282, 1920, 368, 432, 32401, 286, 843, 368, 476, 11094, 254, 8819, 434, 20414, 282, 41459, 633, 15411, 1464, 16, 188, 2337, 1333, 2614, 16, 47928, 92, 20, 47928, 92, 16, 2929, 7560, 1336, 441, 4565, 624, 790, 5588, 20, 47928, 92, 362, 2280, 407, 20389, 772, 4945, 286, 17016, 85, 16, 347, 510, 11261, 25280, 7034, 274, 31362, 398, 324, 11938, 85, 706, 399, 17648, 4, 311, 3427, 407, 7416, 1337, 38734, 258, 286, 12448, 407, 2556, 252, 14489, 286, 3737, 407, 18213, 24033, 5734, 16, 1223, 4356, 4436, 286, 1315, 441, 865, 748, 368, 1141, 668, 772, 5607, 92, 20, 47928, 92, 362, 2280, 428, 286, 748, 743, 4945, 368, 1754, 360, 1218, 16, 3699, 4436, 28, 543, 12460, 6702, 63, 10944, 368, 324, 633, 1305, 3, 0, 10512, 7456, 41043, 1305, 783, 22803, 3340, 314, 21522, 282, 843, 353, 4250, 8302, 5867, 1935, 11, 328, 248, 5438, 33, 188, 1130, 6837, 328, 633, 31413, 2725, 286, 843, 353, 9993, 3038, 16, 310, 1797, 3477, 17837, 282, 618, 783, 22803, 46743, 343, 6622, 1508, 16, 188, 43, 1797, 3477, 17837, 432, 272, 883, 13441, 282, 248, 500, 1377, 15361, 500, 1344, 994, 687, 783, 22803, 1912, 532, 476, 625, 915, 248, 1026, 274, 7543, 7456, 41043, 282, 3340, 282, 254, 783 ]

[ 1, 15, 16985, 390, 33424, 11, 286, 7065, 254, 1830, 274, 254, 2133, 16, 9127, 959, 324, 633, 15596, 16, 188, 7849, 4597, 14, 254, 9498, 369, 1815, 15, 11099, 6674, 328, 1125, 41946, 16, 22362, 601, 315, 11042, 353, 16, 188, 30223, 3313, 14, 593, 9729, 368, 11042, 254, 9498, 16, 310, 5565, 310, 807, 1354, 5982, 324, 254, 2517, 14, 532, 3136, 28656, 5139, 274, 254, 23527, 286, 7338, 328, 10243, 399, 1054, 258, 5207, 49, 39266, 286, 11050, 403, 1623, 7280, 16, 13397, 14, 596, 403, 1789, 327, 310, 452, 6139, 286, 715, 37962, 687, 254, 1090, 432, 9298, 2214, 2672, 5444, 407, 248, 5207, 49, 16, 9127, 593, 1181, 324, 633, 2169, 4245, 16, 0, 12610, 747, 248, 13109, 458, 3343, 13054, 329, 436, 657, 16, 15008, 434, 6086, 276, 436, 9423, 91, 3400, 26245, 533, 3277, 43598, 22299, 15800, 11490, 16, 6225, 2620, 43231, 13921, 1198, 31181, 16, 330, 1247, 1026, 282, 1431, 561, 432, 254, 9287, 327, 29375, 587, 321, 9714, 282, 8033, 286, 913, 742, 14, 641, 2563, 254, 5332, 16, 22189, 254, 2774, 26245, 348, 15, 262, 14, 390, 5053, 7383, 7242, 432, 254, 867, 324, 254, 3834, 997, 16, 188, 34626, 38645, 311, 338, 18, 18, 7, 2416, 72, 3548, 42262, 416, 9406, 2071, 44472, 7421, 10812, 1708, 16, 7560, 3751, 836, 403, 1143, 15, 927, 15, 2538, 286, 254, 396, 1293, 774, 452, 4372, 3065, 44682, 1899, 282, 254, 11671, 1213, 16, 188, 21857, 323, 283, 23084, 403, 19184, 260, 12090, 42262, 17, 1021, 395, 903, 16, 7560, 3751, 836, 403, 1143, 15, 927, 15, 2538, 286, 254, 396, 1293, 274, 254, 35903, 774, 452, 4372, 3065, 44682, 1899, 282, 254, 11671, 1213, 16, 826, 933, 756, 3073, 328, 254, 21899, 533, 311, 6397, 417, 7775, 670, 9150, 254, 35903, 16, 188, 2231, 15, 10336, 531, 11983, 4018, 555, 248, 641, 15, 3323, 531, 26594, 327, 6382, 4561, 35953, 14, 343, 9587, 14961, 888, 706, 30309, 38182, 16, 188, 11518, 5158, 4075, 15535, 428, 5053, 633, 29648, 407, 6069, 1004, 5224, 282, 633, 7089, 16, 2028, 8459, 348, 248, 2057, 26245, 14, 4615, 338, 23, 7, 742, 16, 0, 2432, 403, 641, 19534, 2066, 324, 36814, 1800, 21, 428, 411, 3053, 5153, 314, 19, 27, 26, 90, 2682, 20068, 5368, 11, 543, 5858, 40, 63, 276, 772, 5287, 16, 1395, 476, 1336, 441, 561, 407, 28281, 248, 5575, 324, 436, 3929, 16, 771, 1915, 403, 14, 327, 1544, 368, 403, 1045, 14, 368, 1339, 452, 1996, 4405, 390, 403, 1438, 282, 1115, 436, 2099, 16, 731, 650, 321, 1623, 1247, 603, 368, 807, 4356, 11608, 248, 5575, 324, 436, 3929, 348, 327, 2701, 798, 484, 275, 325, 877, 16, 2000, 248, 624, 3316, 7538, 324, 642, 12587, 16, 839, 22530, 9580, 9017, 19534, 1033, 1362, 286, 368, 587, 1074, 327, 353, 587, 417, 1354, 1034, 324, 633, 5575, 282, 3073, 276, 436, 2245, 16, 9127, 248, 2187, 3, 188, 3992, 368, 476, 818, 10280, 14, 14186, 38829, 14, 390, 642, 3762, 314, 16031, 20323, 14, 1239, 20323, 14, 3838, 2612, 324, 36814, 1800, 21, 428, 411, 3053, 5153, 314, 19, 27, 26, 90, 2682, 20068, 5368, 11, 543, 5858, 40, 63, 282, 4675, 484, 275, 325, 877, 16, 3063, 353, 1012, 3, 0, 23618, 324, 4669, 267, 387, 22785, 20537, 14, 3567, 16, 276, 39872, 14, 6724, 33, 188, 34661, 20537, 14, 3567, 16, 276, 39872, 14, 6724, 311, 272, 13663, 23071, 274, 4669, 267, 23152, 16, 4669, 267, 15, 39607, 54, 530, 15723, 5480, 254, 4351, 343, 3461, 15, 35926, 15803, 23059, 3462, 14, 31012, 7742, 14, 10640, 286, 5553, 5322, 286, 8706, 7528, 2497, 16, 4669, 267, 15, 39607, 54, 530, 311, 9714, 282, 14015, 327, 687, 848, 18, 7, 274, 39236, 276, 254, 1928, 2016, 10443, 328, 580, 390, 624, 11024, 49, 1505, 8712, 14, 24095, 54, 530, 8712, 14, 390, 8500, 1244, 8712, 3462, 1033, 1362, 282, 2023, 729, 343, 8706, 23564, 2257, 3184, 286, 14486, 7381, 7346, 16, 188, 2515, 603, 368, 403, 2731, 324, 4669, 267, 3462, 276, 39872, 14, 1572, 2579, 85, 12131, 14, 12776, 12131, 14, 20828, 258, 14, 411, 11813, 78, 5333, 14, 40789, 14, 3605, 23860, 14, 39513, 286, 39872, 3801, 14, 390, 603, 368, 452, 665, 3418, 668, 4669, 267, 3462, 14, 4356, 1872, 1903, 282, 1052, 441, 387, 314, 23, 18, 26, 11, 813, 23, 21, 15, 495, 26, 24, 18, 390, 3256, 3408, 407, 22785, 20537, 14, 3567, 16, 387, 665, 671, 286, 360, 650, 321, 9729, 282, 1336, 368, 16, 0, 34599, 6104, 8857, 324, 254, 1362, 16, 1997, 607, 18, 35382, 14, 353, 3809, 668, 576, 18, 18, 4525, 282, 7858, 282, 1594, 286, 1663, 282, 248, 3408, 16, 1997, 495, 18, 35382, 14, 353, 476, 1354, 668, 374, 18, 18, 4525, 282, 7858, 286, 3408, 16, 2028, 6104, 276, 5374, 9067, 390, 8534, 14, 353, 2156, 311, 10187, 282, 915, 576, 18, 18, 4525, 16, 401, 33143, 22395, 476, 5757, 282, 374, 18, 18, 4525, 16, 30990, 1051, 286, 4306, 15353, 16, 1286, 368, 403, 417, 2056, 668, 254, 4047, 14, 889, 254, 576, 1250, 3954, 16, 9720, 272, 1740, 387, 254, 4873, 274, 633, 7899, 314, 5912, 3095, 282, 321, 16939, 14, 747, 272, 10192, 855, 390, 5837, 4552, 481, 8022, 282, 1694, 7602, 314, 530, 15, 530, 15, 23773, 14, 763, 15, 530, 2945, 14, 3838, 481, 1286, 368, 1477, 254, 1740, 1063, 368, 3316, 633, 576, 1359, 14, 368, 774, 321, 6104, 282, 3684, 324, 254, 2435, 16, 826, 3954, 311, 669, 1157, 324, 17492, 633, 2286, 6104, 16, 4886, 457, 86, 4306, 7728, 683, 633, 1450, 22142, 15353, 1545, 16, 0, 1516, 25433, 30308, 254, 529, 16, 53, 16, 6053, 4500, 274, 500, 1366, 73, 691, 71, 2067, 631, 1422, 322, 432, 374, 18, 19, 21, 282, 374, 18, 19, 25, 16, 380, 631, 1422, 322, 6949, 5781, 4500, 6053, 668, 338, 16, 24, 24, 2945, 890, 4000, 2153, 276, 254, 1928, 2016, 276, 374, 18, 19, 25, 16, 188, 1253, 3395, 274, 16727, 403, 368, 2692, 282, 1316, 387, 5058, 4813, 33, 188, 7176, 274, 254, 1527, 631, 1422, 2175, 17236, 513, 368 ]

[ 1, 6684, 8438, 9839, 3483, 14, 1773, 1827, 15, 3354, 14986, 14, 38932, 286, 310, 6492, 3277, 1339, 321, 2818, 16, 188, 686, 254, 1068, 274, 9994, 597, 3532, 6319, 14, 254, 7787, 4947, 254, 10954, 274, 6813, 6684, 2815, 282, 11582, 2116, 2269, 14, 1773, 286, 6752, 1827, 15, 3354, 14986, 29, 6684, 7317, 343, 38932, 286, 642, 6752, 30772, 7269, 16, 188, 686, 254, 1068, 274, 23585, 254, 785, 14, 254, 7787, 4947, 2107, 6684, 2815, 282, 11384, 274, 254, 3184, 1423, 14, 254, 2269, 6555, 14, 254, 5787, 286, 254, 9115, 16, 0, 9, 21744, 9145, 9, 16094, 1860, 330, 4123, 28, 684, 37, 12824, 24728, 7666, 9, 35417, 5564, 1349, 347, 21072, 2867, 24465, 4, 188, 9, 30883, 11583, 18320, 3814, 9, 18072, 495, 28, 1638, 380, 740, 552, 434, 27384, 496, 1501, 4294, 33, 188, 13441, 11988, 1270, 374, 18, 19, 25, 5423, 85, 14, 28574, 28, 7999, 23912, 6971, 20050, 12293, 640, 33, 188, 46181, 655, 3484, 1860, 3511, 16149, 2640, 443, 12897, 338, 18, 26, 18, 23215, 29, 1638, 25168, 22629, 1180, 330, 1148, 20, 19421, 33, 188, 9, 17716, 274, 595, 21648, 9, 18072, 813, 2038, 24898, 398, 28, 41588, 16767, 312, 1404, 331, 7143, 15, 25485, 1442, 87, 443, 1604, 1834, 7231, 22937, 3, 188, 9, 3912, 367, 3101, 2984, 9, 18072, 374, 28, 323, 1886, 2813, 434, 15143, 906, 32233, 33, 188, 9087, 58, 338, 18, 26, 18, 15541, 8217, 28, 380, 20101, 383, 23923, 496, 380, 28666, 33, 188, 53, 1293, 1891, 20345, 330, 25, 374, 18, 19, 25, 8217, 28, 1638, 826, 25508, 330, 1427, 19084, 420, 22656, 33, 188, 4, 6426, 471, 328, 30763, 9, 18072, 374, 6145, 1223, 5696, 23500, 28, 22937, 11072, 380, 1427, 18072, 1223, 34539, 30763, 31878, 3151, 3, 188, 9, 30883, 11583, 18320, 3814, 9, 18072, 495, 6145, 286, 16768, 28, 740, 552, 434, 5696, 4066, 13921, 331, 1352, 16882, 33, 188, 9, 510, 16579, 85, 274, 17296, 9, 6145, 1223, 19421, 10151, 28, 1638, 380, 7034, 32247, 1860, 309, 466, 496, 684, 17716, 274, 595, 21648, 9, 18072, 813, 33, 188, 17162, 43737, 374, 4488, 2514, 24436, 607, 28, 6578, 25508, 14087, 2253, 5243, 9942, 33, 188, 9, 48, 275, 13954, 1572, 5111, 39641, 9, 32363, 607, 18, 18, 33979, 640, 1223, 6145, 28, 1638, 826, 380, 7859, 4539, 25531, 13954, 33, 188, 9, 12103, 268, 38151, 26141, 9, 26669, 45124, 319, 28, 7200, 731, 2253, 380, 9315, 15976, 10567, 26669, 18358, 33, 188, 53, 1293, 1891, 20345, 5671, 848, 33979, 640, 286, 6145, 28, 5431, 8686, 1008, 5696, 4066, 25508, 33, 0, 2943, 618, 6656, 403, 6522, 6639, 3708, 1444, 14, 596, 5909, 742, 1205, 9150, 615, 10548, 3709, 33958, 16, 826, 1026, 596, 476, 1115, 14, 1269, 1851, 282, 2120, 248, 28803, 1444, 3622, 16, 2666, 1612, 5435, 278, 2177, 742, 276, 248, 28803, 324, 248, 7871, 1250, 286, 4395, 7435, 597, 3837, 5252, 276, 327, 5942, 5288, 3, 1838, 841, 2731, 1034, 286, 2019, 324, 688, 2169, 274, 8033, 494, 20961, 265, 28803, 14, 310, 4285, 327, 310, 650, 811, 1041, 580, 324, 775, 16, 188, 1516, 2133, 369, 2155, 10849, 14, 3364, 14, 286, 310, 6522, 353, 276, 248, 2630, 4813, 16, 3845, 14, 310, 2350, 282, 618, 7383, 4513, 14, 17159, 14, 282, 1074, 248, 28803, 327, 4793, 618, 5435, 434, 3616, 16, 188, 1982, 368, 1441, 2731, 282, 1041, 436, 2133, 14, 368, 1782, 872, 248, 11287, 28803, 16, 26359, 369, 254, 10849, 81, 17159, 6949, 14, 324, 756, 719, 16, 18, 18, 16, 1395, 774, 872, 763, 39604, 7100, 328, 254, 4747, 274, 254, 1401, 16, 826, 369, 1143, 324, 248, 374, 15, 21, 54, 16, 188, 510, 6522, 7435, 403, 387, 254, 1708, 274, 436, 5246, 16, 826, 311, 841, 254, 801, 2541, 16, 380, 1250, 2541, 650, 321, 282, 1002, 597, 254, 763, 15652, 274, 28803, 14, 407, 11601, 254, 628, 274, 254, 28803, 276, 254, 4853, 274, 254, 5246, 16, 188, 2515, 14, 310, 2828, 254, 28803, 597, 282, 775, 14, 432, 8970, 282, 22733, 14, 286, 5828, 254, 2884, 327, 310, 650, 872, 16, 310, 7207, 597, 13492, 254, 6522, 7435, 286, 9703, 2734, 254, 4617, 274, 254, 28803, 16, 380, 1628, 687, 369, 811, 2151, 324, 248, 20961, 16, 188, 43, 900, 618, 5952, 434, 20961, 265, 28803, 282, 1041, 248, 3003, 324, 254, 20961, 16, 826, 1479, 274, 20961, 19354, 328, 1755, 683, 1093, 343, 811, 6936, 286, 641, 2824, 16, 188, 5905, 463, 254, 2824, 4873, 274, 254, 20961, 16, 188, 21836, 353, 758, 286, 1708, 2302, 349, 16, 188, 33304, 977, 6936, 2292, 14, 26594, 597, 1708, 9052, 286, 18266, 16, 188, 5905, 463, 390, 28644, 2292, 16, 11430, 977, 15, 2123, 15, 483, 16, 188, 27523, 248, 18490, 713, 254, 1708, 2824, 274, 254, 28803, 16, 7008, 759, 254, 4873, 14, 7765, 758, 14, 286, 1708, 2302, 349, 16, 188, 3992, 368, 1782, 452, 248, 20961, 14, 286, 28803, 2824, 286, 888, 16, 188, 33304, 20961, 276, 254, 1708, 3925, 274, 254, 888, 628, 274, 254, 28803, 14, 2049, 254, 9060, 4873, 16, 310, 1649, 248, 2246, 256, 276, 254, 4617, 274, 254, 20961, 593, 327, 254, 5742, 3432, 625, 593, 1887, 327, 1612, 13204, 1503, 15373, 939, 16, 33871, 17, 340, 89, 2292, 16, 188, 33304, 254, 2824, 286, 888, 28803, 14, 977, 6936, 2292, 14, 706, 28644, 2292, 14, 40979, 687, 254, 28686, 7825, 16, 188, 3992, 368, 1441, 6522, 3, 310, 2790, 46622, 282, 254, 1004, 1874, 274, 254, 28803, 593, 327, 353, 650, 3191, 4438, 603, 345, 2980, 353, 282, 16, 0, 46, 16264, 6519, 8318, 286, 19836, 254, 1116, 4795, 413, 16, 188, 2300, 374, 26, 3793, 14, 248, 802, 286, 248, 1362, 1063, 254, 5427, 311, 1899, 282, 3437, 254, 7997, 14, 380, 378, 2297, 266, 5734, 369, 9458, 407, 2436, 4270, 5153, 286, 42370, 6519, 8318, 16, 380, 3326, 555, 643, 328, 436, 5156, 9394, 3970, 14, 8069, 387, 1495, 2288, 28, 254, 5987, 360, 587, 3957, 2966, 16, 188, 46, 16264, 6519, 8318, 311, 815, 15, 7382, 14, 343, 17124, 472, 12477, 786, 14, 274, 23594, 22137, 28, 5879, 2009, 3186 ]

[ 1, 3026, 343, 801, 15, 4287, 8946, 14, 254, 36337, 33102, 14074, 2147, 1407, 3124, 11839, 5961, 272, 17103, 6191, 14, 248, 5588, 6191, 286, 248, 617, 9560, 16, 34331, 36693, 5461, 20611, 311, 1637, 683, 248, 338, 18, 15, 15075, 4306, 1919, 14, 286, 254, 2779, 3290, 1903, 11775, 16, 3157, 6478, 274, 254, 36337, 33102, 14074, 2147, 1407, 3124, 11839, 476, 10087, 526, 343, 248, 295, 7388, 1238, 834, 1914, 390, 29781, 387, 254, 37570, 286, 44014, 8906, 16, 10243, 42078, 587, 11129, 254, 3184, 286, 2413, 274, 37940, 5740, 16, 1676, 717, 1036, 8946, 387, 254, 8388, 2408, 248, 10481, 46627, 286, 29781, 3134, 16, 5830, 1733, 2244, 387, 254, 36337, 33102, 14074, 2147, 1407, 3124, 11839, 5961, 46370, 18953, 15, 15287, 276, 1596, 282, 248, 6333, 15, 14003, 5415, 14, 10573, 1209, 14691, 7909, 286, 248, 2057, 8352, 16, 5650, 311, 13128, 343, 46370, 20839, 2177, 14, 248, 4561, 5909, 255, 286, 10062, 286, 8350, 2328, 8946, 16, 330, 28738, 286, 248, 12594, 2453, 403, 669, 2449, 276, 1004, 2244, 16, 2640, 248, 5278, 274, 10240, 11546, 14, 5464, 286, 6515, 16637, 14, 254, 36337, 33102, 14074, 2147, 1407, 3124, 11839, 66, 85, 328, 15, 10968, 10032, 5961, 248, 5081, 274, 16832, 16491, 324, 12603, 282, 3300, 16, 380, 963, 15, 2571, 6218, 286, 8823, 91, 10032, 10743, 5130, 286, 46267, 8291, 262, 1083, 16, 18569, 2497, 311, 2066, 374, 22, 2942, 248, 1362, 16, 399, 40329, 5461, 17806, 314, 38, 8351, 11, 311, 758, 248, 495, 18, 15, 15075, 4306, 432, 254, 36337, 33102, 14074, 2147, 1407, 3124, 11839, 16, 731, 3809, 1637, 683, 374, 18, 2819, 282, 4306, 282, 13384, 43991, 21317, 14, 380, 10746, 274, 12919, 3847, 286, 26076, 602, 20002, 16, 188, 10891, 380, 3779, 33102, 14074, 399, 40329, 311, 248, 4785, 286, 19029, 8388, 17352, 248, 2094, 4306, 432, 14255, 15685, 16, 8513, 2959, 403, 2257, 26124, 286, 8349, 2218, 311, 2449, 1903, 274, 4045, 16, 380, 3779, 33102, 14074, 399, 40329, 5961, 1125, 8946, 1648, 248, 374, 22, 4813, 15669, 14, 248, 8265, 286, 248, 10032, 9169, 5461, 14, 1922, 286, 32665, 16637, 16, 1180, 248, 3684, 286, 3324, 1391, 12668, 286, 15575, 2705, 14, 12603, 476, 5485, 432, 254, 3779, 33102, 14074, 399, 40329, 66, 85, 3764, 2374, 15, 250, 9259, 16, 24643, 20321, 476, 5485, 432, 254, 2066, 8349, 4458, 282, 3191, 276, 2960, 343, 3732, 1285, 615, 7213, 16, 380, 35640, 9692, 387, 254, 3779, 33102, 14074, 399, 40329, 3831, 248, 4561, 5909, 255, 14, 248, 2958, 14911, 286, 10573, 1209, 14691, 7909, 16, 5650, 555, 37940, 819, 348, 272, 6689, 14, 248, 28738, 286, 248, 12594, 2453, 16, 380, 3779, 33102, 14074, 399, 40329, 66, 85, 2453, 3290, 248, 31031, 4610, 324, 272, 7046, 5324, 16, 18569, 2497, 311, 669, 2066, 387, 2110, 2008, 16, 399, 40329, 5461, 17806, 314, 38, 8351, 11, 311, 758, 248, 374, 18, 15, 15075, 4306, 432, 254, 3779, 33102, 14074, 399, 40329, 16, 380, 13384, 43991, 21317, 14, 13223, 4451, 29965, 19596, 286, 26076, 602, 20002, 403, 374, 18, 2819, 1919, 407, 1096, 16, 188, 10891, 2640, 695, 4829, 11174, 14, 254, 3779, 33102, 378, 483, 2200, 14074, 22713, 932, 5961, 1903, 35057, 8349, 16, 731, 5961, 24219, 27579, 343, 13128, 8352, 85, 286, 36746, 42447, 16, 330, 5081, 274, 3258, 1659, 3134, 403, 2066, 324, 12603, 274, 254, 3779, 33102, 378, 483, 2200, 14074, 22713, 932, 14, 819, 348, 374, 22, 2942, 2244, 2497, 14, 248, 6849, 1297, 463, 286, 248, 1096, 18716, 8373, 16, 5541, 291, 422, 286, 5537, 4602, 403, 2066, 374, 22, 2942, 248, 1362, 16, 13732, 9962, 2488, 37940, 2408, 248, 4848, 14, 248, 8265, 286, 248, 5909, 12136, 2497, 16, 1822, 254, 27579, 387, 254, 3779, 33102, 378, 483, 2200, 14074, 22713, 932, 2408, 248, 6333, 15, 14003, 5415, 14, 10573, 1209, 14691, 7909, 286, 248, 8352, 5304, 16, 5650, 5961, 248, 4561, 5909, 255, 14, 248, 12594, 2453, 286, 10062, 286, 8350, 2328, 8946, 16, 399, 40329, 5461, 17806, 314, 38, 8351, 11, 311, 758, 248, 374, 18, 15, 15075, 4306, 432, 254, 3779, 33102, 378, 483, 2200, 14074, 22713, 932, 16, 3157, 6478, 476, 4010, 14255, 15685, 14, 4301, 248, 2094, 4306, 1919, 432, 254, 3779, 33102, 378, 483, 2200, 14074, 22713, 932, 16, 0, 9606, 4524, 7827, 407, 47433, 2707, 4210, 6492, 1374, 3844, 1923, 258, 19114, 14, 27579, 286, 8841, 324, 8617, 14, 286, 9648, 324, 7096, 343, 330, 9651, 48, 16, 679, 16, 1286, 368, 403, 248, 4524, 3442, 390, 1963, 2731, 324, 7827, 407, 47433, 2707, 4210, 6492, 1374, 3844, 1923, 258, 19114, 14, 4301, 276, 46371, 46, 2554, 1374, 14, 19114, 14, 368, 1797, 1663, 282, 254, 977, 1619, 3, 188, 21511, 368, 1441, 367, 5013, 273, 14, 444, 6718, 273, 14, 390, 811, 872, 248, 743, 1619, 282, 3051, 14, 368, 1782, 1074, 254, 977, 3686, 2245, 1285, 633, 671, 387, 47433, 2707, 4210, 6492, 1374, 3844, 1923, 258, 19114, 343, 330, 9651, 48, 16, 679, 434, 1581, 274, 3015, 48105, 14, 328, 15, 4643, 286, 742, 15, 4643, 7827, 14, 2244, 13508, 31782, 14, 286, 324, 15, 37521, 1491, 8085, 31782, 16, 12748, 2966, 282, 3034, 633, 3083, 3, 0, 43, 1328, 2732, 282, 3510, 272, 2809, 327, 476, 1323, 688, 8675, 5077, 939, 40094, 16, 380, 10104, 8303, 22029, 422, 37332, 17, 3413, 42, 5362, 2893, 811, 3901, 16, 3826, 310, 1328, 669, 2732, 282, 3510, 1432, 5062, 532, 452, 641, 22090, 843, 282, 2660, 436, 324, 40094, 16, 8229, 476, 1862, 248, 11886, 33, 0, 25, 1676, 3619, 282, 4675, 18720, 7554, 24991, 315, 8341, 1014, 15178, 428, 20752, 8933, 274, 7956, 7554, 14, 3567, 16, 188, 21904, 311, 1045, 14, 286, 30610, 2858, 311, 977, 328, 254, 16427, 16, 21300, 942, 587, 321, 561, 626, 2424, 81, 273, 615, 27143, 15178, 286, 2876, 353, 4558, 324, 254, 3837, 5603, 2524, 6214, 16, 188, 2515, 1012, 311, 254, 671, 282, 1623, 1862, 7554, 15, 19199, 27143, 15178, 688, 3960, 1815, 16, 731, 774, 1606, 282, 1354, 248, 1612, 624, 3324, 683, 254, 27143, 15178, 368, 457, 307, 8010, 900, 282, 2430, 14, 532, 353, 2427, 457, 86 ]

[ 1, 885, 719, 26, 25, 15858, 367, 8991, 252, 27774, 655, 374, 18, 2407, 17, 20, 24, 4, 8928, 469, 3035, 314, 27491, 31022, 826, 5490, 311, 12890, 3132, 343, 6343, 282, 254, 757, 24898, 12869, 533, 5429, 282, 338, 22, 495, 17, 26, 4, 418, 2707, 16, 2010, 2044, 11145, 343, 5172, 2099, 13084, 286, 22664, 15006, 5372, 343, 2140, 250, 8195, 16, 826, 5490, 555, 254, 12890, 35510, 1068, 343, 2982, 43462, 16605, 16, 46498, 1580, 4440, 4501, 1612, 889, 16, 0, 15253, 6000, 807, 915, 615, 20686, 1649, 561, 274, 2072, 603, 596, 1038, 457, 86, 6384, 387, 1824, 248, 607, 18, 2476, 13814, 16, 906, 620, 1309, 254, 2843, 555, 624, 282, 513, 343, 8446, 683, 1157, 2142, 16, 731, 311, 20686, 14, 624, 2156, 683, 417, 14, 327, 3217, 8088, 274, 942, 282, 254, 2341, 26384, 282, 17719, 1385, 748, 596, 1852, 2978, 1321, 3526, 16, 1223, 353, 434, 10540, 14, 624, 2156, 683, 417, 14, 663, 751, 7869, 18341, 932, 16, 3826, 14, 248, 17955, 24030, 5837, 650, 2353, 387, 1824, 2630, 274, 254, 942, 2367, 276, 248, 3816, 6432, 407, 248, 7869, 2602, 321, 7869, 2672, 16, 2633, 16, 7296, 1795, 518, 252, 274, 21250, 18889, 442, 25372, 4618, 14, 769, 3912, 1408, 807, 1703, 282, 1901, 3460, 7803, 14, 286, 959, 14, 310, 1038, 457, 86, 1141, 327, 457, 85, 977, 1397, 31632, 336, 1219, 7005, 14, 248, 14214, 19049, 324, 254, 7554, 2341, 8667, 7358, 14, 769, 1212, 513, 417, 513, 436, 2545, 282, 2411, 6611, 390, 8307, 16, 839, 513, 436, 974, 360, 2780, 276, 254, 785, 1397, 3006, 2818, 276, 254, 607, 18, 2476, 13814, 8065, 403, 1321, 5098, 10724, 16, 5105, 5098, 20686, 403, 624, 2692, 282, 321, 43511, 276, 615, 3452, 18341, 932, 16, 7554, 10017, 6928, 3792, 7960, 16926, 2948, 7658, 7127, 641, 48100, 670, 360, 2464, 603, 254, 5837, 369, 7869, 20853, 273, 16, 2948, 7658, 749, 14, 769, 1516, 311, 7754, 3452, 16, 826, 311, 668, 28564, 248, 4179, 16, 839, 452, 643, 22360, 3812, 16, 839, 3856, 597, 16, 839, 3856, 561, 1397, 7644, 27912, 14, 2101, 14, 2225, 353, 457, 85, 811, 1157, 1321, 3526, 16, 2028, 1795, 518, 252, 369, 2464, 603, 520, 6678, 369, 282, 769, 68, 461, 20686, 7324, 345, 10690, 14, 769, 1368, 865, 596, 749, 327, 328, 254, 3867, 5100, 1364, 802, 16, 1223, 959, 14, 436, 311, 668, 21433, 14, 14088, 286, 29886, 1397, 380, 10560, 311, 3159, 282, 2508, 254, 3867, 2318, 276, 254, 13728, 6692, 16, 7644, 2764, 276, 254, 8677, 311, 8539, 16, 188, 35, 3694, 687, 1321, 7969, 5145, 20686, 311, 38868, 276, 254, 22180, 16, 22243, 972, 403, 1071, 11411, 248, 5837, 596, 1309, 311, 10911, 387, 7869, 15, 68, 461, 273, 14, 1205, 254, 2475, 457, 85, 27912, 3790, 353, 457, 85, 5326, 282, 5256, 20686, 403, 2430, 615, 7180, 16, 380, 10149, 2225, 603, 10890, 683, 2630, 274, 13044, 2672, 2014, 1321, 7969, 7869, 278, 945, 327, 7869, 807, 321, 6548, 282, 757, 793, 1392, 343, 254, 1350, 390, 2417, 10036, 695, 6134, 512, 2292, 16, 2633, 16, 7296, 1795, 518, 252, 14, 416, 15, 12144, 5153, 14, 2225, 520, 5837, 311, 282, 1041, 2056, 20686, 403, 1129, 27476, 282, 615, 2672, 16, 769, 43, 811, 1038, 457, 86, 1141, 353, 457, 85, 977, 324, 248, 1330, 2476, 14, 248, 1603, 2476, 274, 6851, 274, 248, 7869, 282, 1703, 282, 1901, 890, 25, 2476, 928, 345, 2225, 16, 5105, 7969, 20686, 650, 452, 282, 2408, 254, 1162, 274, 6000, 13044, 324, 6598, 286, 254, 1162, 274, 1093, 663, 403, 6432, 15, 15185, 9787, 286, 1303, 15, 11753, 273, 14, 276, 615, 7760, 4861, 16, 8498, 72, 8309, 14, 1533, 10202, 286, 10342, 268, 20686, 403, 13578, 14, 533, 16661, 1309, 807, 8260, 20686, 1385, 1004, 642, 16, 380, 2475, 555, 12535, 16028, 254, 3867, 14, 532, 555, 4104, 276, 254, 8677, 276, 1090, 2391, 16, 7554, 457, 85, 1321, 7969, 20686, 403, 783, 14268, 254, 2475, 16, 2633, 16, 9825, 3392, 578, 34175, 14, 399, 15, 36, 14394, 416, 12720, 14, 2225, 345, 21308, 254, 2475, 282, 8903, 1836, 348, 353, 555, 276, 1090, 2391, 16, 769, 2976, 310, 452, 282, 1309, 282, 254, 1837, 20475, 1770, 286, 2185, 663, 5499, 282, 254, 20686, 16, 7925, 310, 650, 417, 4563, 16, 310, 650, 417, 4563, 670, 436, 5837, 11676, 436, 9106, 2778, 43, 650, 417, 4563, 670, 353, 11676, 254, 2342, 16, 826, 555, 248, 1034, 1026, 282, 563, 16, 11648, 254, 22180, 286, 8903, 282, 254, 7623, 1397, 1795, 518, 252, 457, 85, 5837, 4279, 1321, 20686, 282, 2408, 254, 1162, 274, 278, 945, 9787, 286, 1303, 15, 562, 266, 9787, 2672, 276, 615, 7760, 4861, 14, 2049, 343, 843, 1125, 942, 403, 13044, 324, 6598, 16, 1286, 254, 1162, 274, 1303, 15, 562, 266, 9787, 2672, 311, 2622, 13347, 2476, 14, 254, 7869, 650, 452, 282, 295, 15, 14590, 1392, 343, 254, 1350, 390, 2417, 1129, 17703, 16, 188, 30892, 267, 10560, 327, 807, 16356, 4646, 254, 16729, 274, 7869, 1013, 10670, 276, 7554, 4667, 248, 2165, 1350, 3867, 9106, 7738, 16, 380, 6101, 1365, 1020, 254, 1026, 324, 248, 5100, 6101, 670, 254, 374, 18, 19, 26, 13728, 6692, 9263, 1689, 1722, 16, 380, 2475, 311, 1129, 3684, 15, 13341, 265, 407, 3867, 6851, 16, 3774, 944, 14463, 1339, 1477, 2623, 28100, 1063, 7353, 13044, 324, 5100, 12652, 14, 25519, 374, 23, 555, 643, 7713, 282, 811, 580, 5212, 28, 254, 7102, 16027, 1402, 6852, 16, 380, 9106, 434, 338, 22, 15, 27, 6101, 3444, 254, 5837, 434, 7724, 1321, 4703, 16, 380, 10560, 650, 7086, 254, 1350, 434, 3621, 282, 39129, 1922, 9475, 20686, 327, 6296, 625, 6527, 597, 387, 1824, 607, 18, 2476, 274, 1922, 10670, 348, 2672, 16, 5853, 8719, 20609, 248, 7869, 9828, 625, 321, 4003, 282, 1901, 254, 6112, 274, 5789, 15, 395, 15, 3039, 10670, 603, 248, 4869, 274, 254, 9475, 2974, 2427, 625, 5499, 282, 254, 7869, 16, 2640, 1125, 1922, 20686, 4250, 11423, 282, 2445, 327, 7680, 14, 6582, 274, 10670, 807, 321, 1628, 1269, 7869, 6598, 16, 839, 2051, 273, 254 ]

[ 1, 19770, 6086, 1129, 669, 6789, 6086, 14, 6231, 457, 86, 360, 2102, 1129, 278, 438, 4710, 33, 188, 27275, 3221, 6086, 311, 669, 1427, 10244, 457, 85, 6086, 14, 532, 360, 933, 751, 1495, 12957, 324, 19770, 6086, 16, 188, 686, 1972, 9679, 3931, 835, 14, 603, 1427, 10244, 457, 85, 6086, 14, 19770, 6086, 706, 6789, 6086, 497, 282, 512, 2871, 328, 470, 19, 17, 18, 19, 14, 835, 360, 933, 452, 495, 20322, 22469, 328, 254, 338, 297, 14, 374, 2046, 706, 495, 5619, 274, 4109, 16, 1223, 624, 603, 248, 2057, 8621, 311, 3103, 3, 188, 43, 915, 2631, 44341, 668, 748, 2378, 1362, 24333, 3809, 1619, 1444, 6789, 6086, 16, 1678, 883, 457, 79, 7506, 262, 386, 274, 254, 1887, 1767, 274, 14658, 432, 748, 369, 248, 1034, 8621, 14, 282, 748, 457, 85, 1012, 29709, 276, 688, 13852, 348, 2049, 6134, 12846, 1362, 16, 188, 1435, 457, 85, 452, 254, 24333, 14, 1315, 457, 85, 452, 248, 8566, 2987, 8652, 14, 348, 360, 457, 251, 2430, 276, 254, 3514, 274, 436, 16452, 16, 188, 15179, 3089, 441, 888, 282, 327, 8892, 14, 14059, 2114, 274, 254, 338, 27, 24, 18, 85, 29, 4175, 3894, 687, 85, 14, 286, 39407, 273, 5856, 10504, 324, 636, 77, 6419, 16, 188, 1853, 324, 6789, 6086, 14, 324, 479, 1033, 802, 14, 353, 369, 248, 7025, 1321, 12957, 16, 25836, 276, 14, 4392, 561, 274, 3598, 387, 338, 18, 313, 14, 1577, 328, 254, 3886, 286, 3575, 254, 5883, 11618, 78, 1863, 374, 2534, 16, 731, 369, 13546, 328, 248, 7161, 324, 248, 9599, 1944, 7779, 16, 188, 5705, 2996, 4285, 353, 9828, 457, 86, 7723, 321, 248, 7025, 14, 533, 3652, 254, 14116, 274, 353, 1129, 5883, 11618, 78, 7025, 282, 580, 276, 4941, 16, 3826, 254, 15382, 9590, 276, 3840, 452, 1649, 353, 888, 580, 2065, 14, 593, 626, 457, 85, 641, 4688, 274, 248, 1321, 12957, 16, 1286, 360, 961, 282, 3575, 254, 30696, 362, 32436, 3051, 328, 7025, 14, 360, 457, 619, 452, 282, 1354, 248, 8113, 91, 16, 1268, 1002, 327, 457, 85, 624, 9679, 683, 6789, 6086, 16, 188, 1982, 4109, 374, 24, 2427, 457, 86, 4408, 14, 835, 811, 2536, 665, 1362, 561, 274, 248, 7650, 14, 286, 1052, 327, 6789, 6086, 16, 310, 457, 79, 2056, 642, 4203, 513, 327, 16, 2003, 457, 85, 748, 360, 513, 324, 254, 11313, 457, 85, 13957, 16, 0, 4177, 303, 1348, 362, 5687, 16, 9473, 362, 2185, 16, 31891, 362, 7795, 1086, 16, 23162, 362, 783, 1208, 16, 188, 2943, 6221, 6374, 432, 6010, 387, 338, 26, 282, 1354, 597, 616, 22668, 348, 11313, 14, 248, 977, 1668, 16807, 48088, 278, 542, 3866, 945, 16, 3928, 2630, 15, 40337, 5330, 311, 5139, 1480, 13488, 668, 254, 1683, 4066, 11313, 348, 345, 555, 643, 10092, 254, 685, 493, 276, 616, 5759, 16, 188, 1843, 835, 626, 457, 85, 616, 18779, 14, 11443, 1668, 30342, 16, 8229, 311, 756, 254, 11313, 274, 5687, 16, 1223, 6221, 1856, 457, 86, 3408, 4093, 14249, 328, 668, 843, 701, 16051, 786, 701, 555, 624, 977, 282, 254, 22668, 1051, 6248, 14, 1129, 248, 18935, 286, 512, 327, 16, 188, 13966, 1706, 560, 13895, 869, 1129, 747, 494, 286, 12064, 494, 276, 436, 16533, 16, 30342, 311, 1129, 8649, 7602, 10010, 14, 1851, 9353, 343, 2714, 779, 269, 994, 457, 286, 758, 3360, 432, 248, 1278, 15, 2711, 274, 1770, 16, 1469, 28879, 282, 16651, 14, 4563, 273, 327, 248, 5769, 587, 1354, 1575, 1919, 432, 616, 16, 6221, 25718, 311, 480, 10108, 18934, 282, 751, 6841, 286, 4565, 272, 32710, 14, 580, 327, 587, 3954, 1081, 4203, 16, 1469, 1480, 311, 11874, 254, 3195, 274, 248, 9723, 2711, 274, 5374, 15, 21449, 4935, 40282, 16, 6499, 274, 729, 343, 11269, 263, 527, 28566, 16, 45962, 14, 670, 6221, 1042, 16651, 324, 2314, 353, 4424, 34500, 84, 3955, 3320, 14, 532, 701, 1042, 751, 12469, 286, 14, 38915, 282, 440, 1392, 254, 942, 701, 8775, 5803, 276, 7150, 343, 14, 701, 4314, 254, 1401, 841, 616, 2630, 15, 40337, 286, 40328, 18779, 30342, 282, 321, 254, 1401, 457, 85, 6935, 13499, 16, 380, 763, 1706, 560, 2101, 14, 663, 1503, 452, 643, 17256, 286, 3732, 276, 248, 17266, 1499, 14, 1074, 3622, 14152, 1211, 387, 13282, 16, 1223, 254, 2560, 9349, 3637, 7435, 276, 624, 683, 11995, 16, 188, 686, 8395, 2902, 45511, 274, 1575, 1503, 387, 801, 1606, 13709, 322, 7926, 22453, 14, 2486, 353, 4378, 10047, 248, 2560, 10838, 274, 3360, 286, 2977, 16, 1547, 1309, 327, 1575, 17213, 85, 14, 286, 360, 476, 915, 436, 276, 254, 1464, 274, 254, 34196, 4237, 40367, 16, 444, 14615, 597, 407, 4986, 268, 3955, 687, 254, 4489, 2784, 4966, 14, 345, 1042, 520, 1245, 15, 14066, 282, 3677, 2005, 561, 254, 360, 71, 10581, 15, 3323, 3940, 16, 2552, 14, 580, 1362, 14, 348, 40367, 311, 328, 248, 7498, 527, 1409, 282, 751, 254, 2784, 636, 14, 345, 40622, 713, 248, 15542, 282, 1354, 248, 13352, 16, 8229, 933, 321, 16716, 276, 254, 13486, 3108, 248, 5398, 33, 6107, 16, 9963, 4966, 16, 314, 19, 20019, 374, 22, 11, 1223, 663, 933, 11308, 254, 36524, 282, 18933, 742, 520, 8819, 1205, 345, 311, 45634, 7140, 33, 6107, 16, 9963, 4966, 16, 2028, 40367, 311, 4574, 5182, 276, 6503, 14, 2499, 683, 10727, 248, 480, 305, 286, 7325, 26861, 343, 254, 3547, 14, 4966, 8375, 3997, 282, 1920, 6920, 16, 3006, 282, 321, 19154, 13274, 668, 254, 2393, 274, 254, 6776, 314, 20, 20019, 338, 362, 338, 27, 15, 20, 18, 481, 2028, 345, 3285, 6776, 2900, 4966, 1143, 6160, 286, 3607, 6698, 23769, 274, 520, 1193, 16, 1268, 345, 1628, 520, 1430, 9338, 276, 3899, 324, 441, 276, 254, 4358, 360, 1052, 10093, 26567, 607, 19, 16, 839, 403, 14258, 407, 254, 23271, 1873, 348, 5018, 282, 12175, 324, 1093, 276, 1575, 14, 286, 4855, 14, 513, 596, 872, 353, 16, 314, 19, 31706, 374, 362, 338, 15, 20, 11, 6030, 46274, 407, 688, 663, 1034, 282, 1423, 1789, 14, 286, 2489, 663, 961, 282, 3217, 729, 1051, 14, 353, 457, 85, 272 ]

[ 1, 5998, 5520, 6652, 311, 1851, 2996, 663, 587, 513, 748, 311, 276, 633, 1640, 1564, 16, 188, 9928, 10291, 19043, 7068, 476, 321, 14459, 407, 2731, 387, 748, 3849, 282, 272, 5109, 16, 10078, 3860, 452, 248, 3469, 1865, 324, 15468, 368, 33, 10078, 596, 20214, 665, 274, 633, 3453, 670, 11871, 390, 838, 1728, 368, 33, 12013, 254, 4513, 15523, 276, 665, 29378, 8112, 14, 1648, 26909, 33, 1993, 3607, 19921, 476, 14943, 43651, 324, 248, 13695, 14, 4355, 310, 476, 1336, 618, 8325, 751, 615, 7068, 8013, 4196, 16, 188, 3294, 254, 1057, 671, 14, 1125, 2153, 452, 282, 321, 30590, 324, 248, 12329, 26914, 390, 1002, 2584, 282, 2260, 16, 1260, 272, 7212, 6252, 5520, 2260, 6652, 14, 310, 715, 1582, 8958, 282, 3217, 618, 1068, 1063, 248, 4833, 16, 310, 669, 865, 327, 324, 801, 15, 2523, 390, 1656, 15, 15821, 32576, 14, 5630, 38256, 5495, 774, 3831, 729, 254, 1640, 4954, 282, 2055, 2391, 272, 6932, 4400, 16, 310, 587, 785, 343, 368, 1849, 286, 10510, 353, 5215, 368, 14, 254, 13695, 1480, 1849, 282, 3217, 633, 1068, 282, 248, 2675, 6282, 276, 348, 1612, 671, 348, 1841, 16, 188, 3912, 30719, 639, 9615, 3006, 11903, 1860, 7859, 496, 330, 41129, 2396, 16, 21685, 2666, 37076, 3826, 16, 188, 1934, 2247, 633, 390, 633, 7434, 580, 434, 439, 4348, 12201, 7068, 14, 2960, 479, 14, 6797, 28961, 399, 24573, 14, 324, 248, 641, 15, 6669, 4341, 20549, 16, 23173, 272, 4436, 390, 1052, 719, 19, 26, 15, 23, 18, 27, 15, 27, 25, 20, 22, 16, 0, 1853, 254, 8238, 1897, 5381, 14, 248, 5840, 4833, 2260, 311, 272, 5630, 11704, 15, 20431, 4817, 276, 533, 4532, 25897, 615, 1068, 1063, 248, 1491, 4833, 14, 533, 6374, 272, 26834, 11524, 16, 13168, 406, 682, 1309, 254, 26834, 11524, 476, 1336, 7415, 1826, 282, 15907, 390, 3906, 282, 1278, 16, 188, 4387, 254, 495, 23, 23, 15563, 663, 10690, 14, 848, 25, 2476, 749, 596, 1038, 457, 86, 889, 5840, 4833, 7386, 16, 9403, 254, 813, 25, 15563, 663, 1628, 5536, 14, 944, 749, 327, 42266, 272, 26834, 4833, 3809, 5146, 1919, 432, 642, 1726, 33220, 7995, 14, 2328, 353, 272, 30206, 889, 274, 671, 324, 40382, 1086, 14, 15567, 286, 1278, 11258, 19038, 16, 188, 8439, 15563, 749, 596, 452, 3477, 282, 2120, 5840, 4833, 7386, 532, 6296, 457, 86, 573, 665, 7319, 20768, 254, 4532, 282, 9811, 16, 21964, 254, 4532, 497, 30979, 343, 254, 4333, 390, 497, 26168, 282, 5041, 14, 580, 5794, 749, 16, 188, 1130, 4476, 2692, 327, 1125, 4532, 403, 10638, 26927, 3238, 274, 1278, 16, 2514, 5794, 343, 374, 25, 1090, 274, 2705, 5234, 1851, 4634, 432, 4703, 607, 18, 7386, 590, 802, 282, 4175, 16, 188, 6426, 13561, 11308, 5840, 4833, 7386, 276, 3594, 274, 5732, 4833, 7386, 16, 188, 44, 1588, 7386, 276, 3587, 7371, 2153, 476, 321, 1637, 683, 580, 1362, 14, 593, 254, 1278, 555, 641, 888, 2720, 274, 2153, 286, 14, 3004, 14, 641, 1865, 282, 1577, 282, 248, 5840, 4833, 2260, 16, 188, 10072, 4928, 2153, 15907, 963, 1063, 2260, 14, 2692, 1899, 282, 254, 13859, 274, 4928, 15131, 276, 2025, 16, 188, 31227, 305, 1086, 663, 9811, 276, 254, 1213, 513, 593, 756, 387, 254, 28975, 274, 4916, 16, 6499, 587, 417, 2903, 665, 898, 2094, 274, 248, 2057, 4833, 2260, 14, 286, 1002, 835, 596, 4408, 254, 4833, 457, 85, 2964, 16, 188, 18016, 4833, 7386, 756, 785, 670, 368, 452, 15656, 328, 1081, 6936, 663, 4377, 1004, 642, 286, 403, 46377, 16, 188, 19226, 254, 1330, 14735, 274, 15563, 663, 749, 596, 513, 889, 5840, 4833, 7386, 14, 2006, 452, 643, 17339, 343, 254, 1508, 16, 188, 47238, 6635, 2048, 6616, 14450, 67, 20752, 7575, 2448, 248, 1068, 7465, 7962, 9520, 407, 248, 1362, 15, 6495, 3925, 687, 18230, 19844, 16, 380, 756, 5615, 11704, 3103, 254, 2332, 274, 8317, 16, 7614, 274, 19836, 254, 24863, 663, 573, 643, 32892, 324, 254, 2260, 14, 248, 4957, 497, 900, 282, 2120, 248, 5840, 4833, 2260, 16, 380, 1515, 497, 23341, 713, 642, 12130, 16, 188, 12, 5650, 1722, 254, 6640, 16076, 272, 24226, 14, 1303, 15, 45563, 580, 15, 19180, 6453, 282, 695, 624, 683, 338, 20, 14, 18, 18, 18, 12043, 20144, 276, 254, 1928, 2016, 286, 16714, 16, 380, 1508, 14, 17393, 276, 254, 11052, 37, 457, 85, 31478, 23342, 300, 15, 1775, 1160, 351, 14, 403, 417, 5864, 282, 321, 7733, 348, 37191, 2479, 4202, 16, 0, 510, 331, 4470, 283, 274, 1572, 15601, 311, 254, 7126, 274, 1575, 274, 254, 545, 14954, 1393, 4533, 1873, 756, 348, 254, 12339, 274, 418, 583, 16, 1691, 8468, 3108, 695, 33106, 274, 13486, 311, 1873, 756, 407, 616, 7779, 256, 474, 17883, 16, 188, 510, 331, 4470, 283, 274, 1572, 15601, 311, 248, 1361, 40392, 252, 276, 27287, 25084, 16, 731, 434, 628, 274, 254, 1572, 15601, 274, 254, 21474, 40392, 252, 3465, 399, 7778, 14, 2049, 343, 17746, 958, 274, 354, 10816, 256, 329, 16, 380, 12676, 476, 321, 1102, 2734, 11389, 23315, 19596, 14, 30302, 274, 24195, 4798, 16, 188, 26210, 40392, 252, 5085, 403, 443, 1685, 13063, 14, 10259, 274, 3086, 544, 6893, 14, 286, 37892, 320, 21595, 16, 188, 37, 4470, 283, 274, 1572, 15601, 45746, 28, 314, 14276, 1209, 1395, 1649, 272, 980, 282, 254, 10050, 28612, 4211, 276, 254, 331, 4470, 283, 274, 1572, 15601, 16, 188, 17560, 77, 286, 27287, 28, 21040, 248, 27287, 7330, 6725, 248, 8093, 743, 1361, 274, 17595, 958, 16, 188, 50, 2915, 28, 331, 4470, 283, 274, 1572, 15601, 28, 1270, 307, 368, 403, 7573, 906, 1442, 15770, 407, 22267, 254, 331, 4470, 283, 274, 1572, 15601, 16, 188, 36174, 302, 45470, 14, 254, 12339, 274, 418, 583, 14, 248, 10581, 11507, 275, 18887, 11746, 265, 376, 663, 10743, 3086, 544, 6893, 16, 188, 23, 4806, 28, 2028, 368, 20049, 248, 11146, 2232, 14, 368, 452, 248, 338, 18, 7, 4688, 282, 3966, 729, 11126, 5471, 4779, 324, 719, 7061, 14, 8270, 4577, 432, 2104, 7890, 407, 374, 23, 7536, 188, 23, 4806, 28, 2028, 633, 356, 19862, 14140, 18774, 14 ]

[ 1, 14, 368, 774, 669, 961, 282, 1852, 9150, 24468, 624, 18415, 282, 3400, 1444, 314, 264, 1002, 248, 4523, 274, 5167, 45455, 481, 1180, 1093, 7028, 328, 15594, 1152, 276, 14, 9150, 2718, 311, 254, 23947, 1026, 282, 6179, 5690, 16, 1260, 324, 254, 1515, 274, 942, 663, 403, 13109, 2151, 282, 7829, 532, 44297, 11870, 2151, 327, 368, 476, 625, 7415, 748, 282, 8033, 14, 2718, 311, 254, 3055, 383, 1026, 282, 997, 448, 281, 286, 7928, 913, 4558, 16, 21660, 1015, 37379, 286, 36826, 282, 915, 748, 368, 1663, 597, 343, 3, 188, 25, 11, 5669, 40, 1787, 17237, 3, 826, 311, 254, 671, 282, 452, 327, 310, 15, 9641, 625, 15, 29979, 15, 67, 15, 69, 1714, 11720, 16, 1260, 1034, 348, 368, 8033, 633, 26245, 343, 15125, 14, 663, 311, 327, 3677, 18305, 3122, 282, 1309, 327, 353, 434, 18950, 33, 1286, 368, 3367, 6973, 14, 14799, 353, 3, 8198, 9819, 286, 4564, 633, 13204, 888, 3, 1180, 784, 254, 7650, 398, 286, 1626, 77, 276, 633, 1193, 3616, 16, 29616, 254, 2705, 286, 3408, 42179, 1061, 687, 1826, 633, 12333, 403, 1480, 1364, 2858, 16, 188, 10072, 15108, 14, 452, 248, 1247, 671, 3, 18333, 742, 276, 254, 5536, 2622, 668, 633, 10041, 20317, 26483, 3, 0, 10, 35, 11, 19923, 274, 248, 3587, 11379, 5697, 14, 348, 327, 1283, 311, 2840, 276, 10102, 338, 25, 26, 21, 16, 274, 254, 48226, 6135, 14, 403, 13930, 282, 321, 276, 254, 8189, 274, 254, 5697, 603, 9339, 3134, 324, 861, 329, 3221, 324, 254, 5697, 16, 188, 10, 36, 11, 39204, 663, 403, 3587, 10200, 276, 248, 3587, 11379, 10106, 282, 10102, 338, 25, 26, 20, 16, 274, 254, 48226, 6135, 2992, 321, 2696, 276, 254, 8189, 274, 254, 3587, 11379, 282, 254, 5900, 327, 861, 329, 3221, 276, 248, 825, 642, 683, 3768, 274, 15807, 311, 2865, 407, 819, 3587, 10200, 324, 3134, 2600, 324, 254, 3587, 11379, 16, 188, 10, 19, 11, 380, 3442, 274, 248, 1956, 15, 13968, 3587, 9520, 2485, 327, 555, 417, 10268, 282, 321, 3994, 348, 248, 13366, 2992, 321, 3994, 348, 248, 7724, 39854, 264, 16, 9241, 2600, 324, 254, 3587, 9520, 2485, 407, 1963, 2672, 274, 254, 7724, 39854, 264, 2992, 417, 12300, 5937, 8189, 343, 254, 3587, 9520, 2485, 603, 819, 1963, 2672, 2445, 254, 5925, 274, 8790, 314, 36, 2682, 21, 2682, 72, 11, 274, 2511, 576, 19, 22, 19, 16, 18, 19, 274, 254, 48226, 6135, 16, 188, 10, 20, 11, 380, 3442, 274, 248, 1956, 15, 13968, 3587, 9520, 2485, 327, 555, 10268, 282, 321, 3994, 348, 248, 13366, 2992, 321, 2696, 282, 321, 276, 5937, 8189, 343, 254, 3587, 9520, 2485, 603, 254, 3442, 14093, 861, 329, 3221, 324, 3134, 13326, 282, 254, 3587, 9520, 2485, 390, 28468, 3134, 276, 29433, 274, 6700, 861, 329, 3221, 432, 254, 3587, 9520, 2485, 16, 188, 10, 21, 11, 1286, 254, 3442, 274, 248, 1956, 15, 13968, 3587, 9520, 2485, 311, 248, 13366, 14, 248, 10188, 5741, 274, 327, 13366, 2992, 321, 2696, 282, 321, 276, 5937, 8189, 343, 254, 3587, 9520, 2485, 603, 254, 5741, 14093, 861, 329, 3221, 324, 3134, 13326, 282, 254, 3587, 9520, 2485, 14, 390, 28468, 3134, 282, 254, 3587, 9520, 2485, 276, 29433, 274, 6700, 861, 329, 3221, 16, 188, 10, 19, 11, 1286, 512, 274, 254, 2672, 274, 248, 4331, 15, 13968, 3587, 9520, 2485, 327, 555, 417, 10268, 282, 321, 3994, 348, 248, 13366, 403, 4153, 14, 254, 2672, 2992, 321, 3994, 348, 10200, 16, 9241, 2600, 407, 248, 1963, 3442, 274, 665, 1999, 3442, 274, 254, 3587, 9520, 2485, 2992, 417, 12300, 5937, 8189, 343, 254, 3587, 9520, 2485, 603, 254, 2860, 274, 1004, 1999, 3442, 274, 254, 3587, 9520, 2485, 282, 254, 1963, 3442, 15930, 254, 5925, 274, 8790, 314, 36, 2682, 21, 2682, 72, 11, 274, 2511, 576, 19, 22, 19, 16, 18, 19, 274, 254, 48226, 6135, 16, 188, 10, 20, 11, 1286, 254, 2672, 274, 248, 4331, 15, 13968, 3587, 9520, 2485, 327, 555, 10268, 282, 321, 3994, 348, 248, 13366, 403, 763, 390, 624, 4153, 14, 596, 2992, 321, 2696, 282, 321, 276, 5937, 8189, 343, 254, 3587, 9520, 2485, 603, 596, 4615, 861, 329, 3221, 324, 3134, 13326, 282, 254, 3587, 9520, 2485, 14, 390, 8376, 3134, 282, 254, 3587, 9520, 2485, 276, 29433, 274, 6700, 861, 329, 3221, 16, 188, 10, 21, 11, 1286, 254, 2672, 274, 248, 4331, 15, 13968, 3587, 9520, 2485, 403, 18138, 14, 248, 10188, 5741, 274, 665, 274, 1093, 18138, 2992, 321, 2696, 282, 321, 276, 5937, 8189, 343, 254, 3587, 9520, 2485, 603, 254, 5741, 14093, 861, 329, 3221, 324, 3134, 13326, 282, 254, 3587, 9520, 2485, 14, 390, 28468, 3134, 282, 254, 3587, 9520, 2485, 276, 29433, 274, 6700, 861, 329, 3221, 16, 0, 15988, 2126, 11017, 682, 8138, 23367, 624, 683, 254, 580, 15, 20566, 14, 385, 15, 1481, 91, 289, 3811, 663, 448, 9719, 616, 8659, 387, 616, 1926, 8745, 3260, 16, 2028, 12746, 25480, 248, 2628, 5362, 387, 254, 980, 274, 254, 1362, 14, 248, 783, 38742, 29374, 729, 2292, 14, 286, 254, 9034, 42182, 6564, 652, 7759, 10439, 869, 729, 3082, 16, 8138, 23367, 3432, 457, 86, 2056, 748, 701, 5441, 282, 1862, 775, 1111, 67, 5158, 274, 616, 2482, 390, 512, 274, 616, 2710, 16, 0, 3916, 368, 872, 282, 5416, 633, 1683, 3684, 276, 35580, 9960, 14, 15001, 343, 641, 36745, 862, 390, 7914, 33, 188, 1630, 8073, 18150, 8762, 398, 16, 679, 14194, 311, 254, 6081, 2896, 274, 1491, 8085, 9804, 663, 7274, 8841, 3684, 16, 839, 4540, 368, 343, 1922, 1683, 21570, 276, 35580, 9960, 14, 15001, 663, 961, 282, 7274, 633, 1683, 3684, 16, 3699, 34412, 276, 35580, 9960, 14, 15001, 403, 1922, 282, 633, 2104, 286, 12101, 368, 476, 1359, 328, 16, 1997, 39311, 18150, 8762, 398, 16, 679, 14194, 2705, 14, 12618, 286, 32536, 403, 628, 274, 1033, 3831, 16, 3699, 1800, 19, 4590, 311, 282, 1336, 368, 5416, 633, 35580, 9960, 14, 15001, 1683, 3684, 3, 188, 1982, 368, 650, 747, 282, 4615, 248, 3684, 14, 18441, 14, 641, 15, 704, 3263, 319, 3831 ]

[ 1, 273, 512, 3462, 276, 248, 1830, 32496, 286, 960, 327, 282, 4306, 254, 2586, 16, 188, 25672, 315, 1470, 12764, 713, 10118, 285, 87, 2304, 248, 7096, 311, 3316, 16, 188, 10703, 248, 28575, 19684, 830, 596, 476, 14015, 7172, 286, 2023, 12200, 1460, 16, 188, 38957, 366, 25520, 274, 6211, 1707, 328, 3462, 9461, 16, 188, 3243, 16969, 2591, 3310, 9302, 343, 254, 2586, 16, 188, 50, 16, 53, 16, 1286, 368, 403, 276, 6789, 2731, 324, 688, 5167, 32474, 14, 2374, 561, 772, 2586, 16, 188, 1516, 5690, 369, 9024, 276, 906, 69, 982, 264, 1013, 286, 30343, 8760, 1466, 328, 4423, 576, 14, 374, 18, 19, 19, 407, 37506, 399, 10338, 16, 0, 23292, 841, 1240, 23092, 327, 5095, 2363, 311, 254, 1956, 944, 6250, 4817, 14654, 452, 324, 6104, 16816, 14, 12866, 14, 17539, 14, 286, 1508, 16, 1268, 944, 14654, 1872, 747, 596, 811, 1038, 625, 452, 671, 324, 624, 11891, 16, 826, 1926, 5961, 248, 1755, 1026, 28, 10596, 14, 2094, 15629, 343, 6000, 668, 615, 5095, 7148, 327, 476, 321, 8304, 21899, 12744, 713, 254, 2539, 2211, 274, 2072, 16, 188, 4, 3294, 1364, 14, 248, 3448, 15, 252, 1926, 327, 434, 6873, 14, 8319, 14, 286, 8055, 16, 17307, 5887, 327, 942, 1041, 512, 254, 2967, 29, 436, 1926, 587, 9537, 368, 843, 282, 1041, 248, 2967, 343, 633, 942, 449, 188, 4, 1793, 14144, 14, 2508, 14, 12140, 286, 47374, 16, 21040, 380, 79, 45835, 2636, 2075, 360, 476, 457, 86, 2241, 668, 7969, 12866, 1269, 15531, 5095, 2363, 16, 1223, 353, 29622, 561, 843, 6851, 476, 452, 327, 7621, 449, 188, 4, 36, 1155, 286, 30211, 452, 3443, 248, 14822, 286, 4311, 2811, 282, 12464, 2363, 28, 9027, 254, 25940, 276, 4045, 274, 615, 1193, 3017, 16, 826, 1926, 587, 1336, 368, 2706, 254, 2169, 274, 4326, 324, 5095, 31789, 327, 20534, 9094, 449, 188, 4, 1516, 311, 272, 8418, 1926, 16, 496, 512, 618, 1090, 21196, 22563, 328, 5095, 2363, 14, 436, 311, 254, 1640, 286, 944, 10800, 7538, 2066, 16, 731, 434, 272, 3364, 1218, 327, 3809, 254, 2488, 2443, 274, 5095, 2363, 286, 7863, 7585, 353, 343, 1491, 14, 2181, 15, 20455, 11861, 14, 5493, 286, 15596, 16, 731, 434, 9415, 4479, 324, 743, 41466, 14, 8251, 22563, 286, 10446, 12101, 387, 665, 1245, 14, 276, 665, 4351, 449, 0, 35780, 46280, 808, 428, 731, 434, 417, 668, 441, 14, 532, 748, 2572, 476, 513, 939, 441, 16, 188, 1304, 1208, 4243, 457, 85, 743, 1926, 14, 22876, 46280, 808, 428, 731, 434, 3006, 11072, 8574, 14, 1268, 1691, 2572, 2532, 3063, 11648, 8574, 896, 4666, 19, 26, 16, 27, 27, 14, 2838, 2071, 14, 890, 25, 26, 19, 22, 27, 26, 22, 23, 25, 22, 25, 25, 29, 370, 27, 16, 27, 27, 14, 300, 15, 3199, 14, 890, 25, 26, 19, 22, 27, 26, 22, 23, 25, 22, 26, 22, 11, 311, 272, 28795, 1972, 2835, 274, 3409, 286, 4419, 33276, 276, 254, 21958, 274, 1464, 457, 85, 16136, 3284, 16, 731, 457, 85, 254, 9205, 274, 248, 2784, 10412, 663, 555, 643, 939, 1125, 2746, 7386, 14, 532, 2572, 3416, 1093, 36200, 9256, 713, 5230, 38997, 447, 16, 2572, 2607, 616, 254, 1026, 561, 274, 254, 3258, 5589, 701, 573, 1649, 5803, 276, 286, 1869, 616, 282, 1336, 2489, 561, 274, 615, 1193, 16, 11648, 512, 254, 2008, 274, 7051, 14, 22113, 14, 286, 2863, 14, 2572, 3854, 6158, 14, 5787, 14, 10725, 14, 12895, 14, 286, 8903, 33276, 282, 616, 2710, 286, 1464, 16, 826, 1926, 311, 248, 9845, 23609, 327, 2572, 555, 2936, 2035, 286, 2936, 1116, 328, 1004, 1408, 4619, 1033, 628, 274, 1464, 16, 188, 1304, 1208, 4243, 8375, 436, 24608, 2886, 2835, 593, 327, 3997, 476, 2033, 327, 641, 2563, 663, 368, 403, 14, 748, 368, 457, 307, 2152, 14, 390, 748, 368, 457, 307, 643, 939, 14, 2572, 476, 889, 254, 2835, 274, 633, 1464, 282, 3373, 2996, 1952, 457, 85, 1464, 16, 1469, 5441, 10390, 282, 865, 327, 688, 1789, 403, 4317, 615, 1423, 286, 3621, 282, 4842, 1091, 593, 580, 1339, 4377, 2572, 282, 1577, 254, 2835, 1444, 324, 2936, 18199, 16, 826, 1926, 311, 616, 12881, 1026, 282, 3858, 561, 282, 2489, 282, 1336, 16, 188, 58, 336, 252, 5523, 14, 248, 8790, 274, 43542, 10967, 5734, 14, 311, 254, 1499, 457, 85, 6081, 6244, 1827, 15, 29078, 6668, 14, 343, 624, 683, 338, 23, 14, 18, 18, 18, 14110, 3737, 282, 3407, 16, 44105, 398, 774, 1316, 22876, 46280, 808, 428, 731, 434, 3006, 11072, 8574, 14, 1268, 1691, 2572, 2532, 3063, 11648, 8574, 16, 939, 496, 1667, 7034, 6313, 286, 17, 264, 9772, 1732, 3289, 7034, 3535, 40836, 16, 380, 1926, 311, 2066, 3783, 939, 1246, 336, 252, 6913, 16, 679, 17, 3199, 11548, 14, 6814, 252, 16, 679, 14, 286, 22835, 266, 395, 30389, 283, 16, 679, 16, 0, 23426, 7137, 950, 286, 2142, 7137, 950, 14, 17551, 338, 1096, 256, 33491, 14, 20448, 14, 5172, 14, 27255, 328, 21989, 14, 338, 18, 18, 14, 18, 18, 18, 558, 7785, 498, 17358, 286, 17074, 3487, 286, 29772, 9397, 28138, 950, 16, 679, 378, 16787, 15779, 16, 188, 35, 14283, 15779, 274, 34699, 16, 378, 1958, 398, 403, 2347, 282, 321, 387, 1824, 338, 26, 1090, 1668, 286, 6894, 248, 3469, 254, 3124, 274, 3545, 6770, 1083, 14, 390, 407, 7529, 390, 4273, 276, 3203, 343, 254, 3545, 6770, 1083, 9397, 4347, 16, 188, 510, 9397, 4347, 556, 5843, 274, 1668, 3398, 8235, 286, 440, 13208, 14, 1571, 7843, 8235, 2969, 3783, 21989, 16, 330, 14283, 4653, 476, 321, 1102, 387, 254, 21989, 4244, 2586, 16, 188, 25298, 12777, 8979, 354, 2119, 85, 17, 19996, 37, 15779, 21993, 943, 16, 8498, 14901, 16764, 13468, 16, 14922, 27574, 1027, 9397, 18396, 950, 16, 8118, 16, 14922, 311, 1012, 21989, 265, 3783, 387, 8061, 16, 8897, 4321, 16, 679, 16, 188, 5910, 3398, 21989, 41686, 774, 2023, 248, 9394, 6813, 1581, 274, 748, 587, 321, 4075, 328, 248, 1748, 1362, 16, 10068, 2056, 368, 2033, 254, 4653, 286, 7067, 274, 254, 21989, 16, 188, 17560, 291, 330, 14283 ]

[ 1, 457, 85, 4566, 17863, 10247, 1305, 324, 254, 20676, 274, 26607, 416, 8, 38, 6319, 343, 254, 5192, 282, 5127, 13764, 2269, 4163, 9902, 286, 254, 5266, 274, 2072, 3017, 5535, 16, 188, 5652, 495, 21, 23, 14199, 6319, 286, 607, 22, 23, 354, 14112, 33099, 324, 14199, 6319, 16, 188, 2773, 1734, 273, 282, 254, 32915, 5670, 274, 254, 7173, 15392, 17000, 387, 5130, 286, 5060, 1245, 2969, 732, 15, 498, 47602, 15410, 16, 188, 15182, 258, 1302, 447, 555, 643, 3103, 276, 5130, 26607, 6319, 324, 495, 1090, 16, 380, 15410, 3591, 407, 7828, 258, 1302, 447, 343, 5475, 9695, 17, 7202, 17544, 311, 3657, 1726, 324, 41423, 695, 2472, 276, 254, 5060, 5670, 1213, 274, 323, 5134, 85, 314, 23000, 14, 5475, 30584, 286, 18357, 11, 533, 835, 5480, 282, 743, 2545, 8641, 14, 3017, 286, 1034, 15, 3818, 31261, 16, 188, 12530, 5592, 37, 7205, 428, 2939, 13252, 3649, 5026, 3124, 276, 254, 30879, 14166, 939, 10419, 273, 314, 18498, 11, 13327, 387, 10846, 254, 15392, 28118, 274, 8020, 276, 254, 30879, 2104, 14, 939, 254, 13330, 274, 15392, 35475, 11301, 7609, 14, 9094, 14, 2479, 286, 8150, 570, 14, 286, 1321, 8826, 14, 36274, 254, 19206, 3124, 4333, 16, 188, 15182, 258, 1302, 447, 311, 254, 6081, 4959, 31601, 324, 3511, 293, 46870, 276, 254, 1631, 274, 17856, 2269, 16, 1997, 3746, 1245, 14, 254, 31601, 311, 29034, 324, 695, 2107, 14625, 276, 1192, 788, 2269, 2632, 286, 4144, 1844, 276, 254, 1733, 4172, 18461, 274, 6873, 9599, 5322, 6524, 282, 695, 11186, 276, 254, 6104, 7126, 274, 254, 33070, 15047, 33918, 286, 254, 11379, 328, 6873, 40919, 274, 254, 323, 21, 50, 11353, 16, 188, 25155, 14, 7828, 258, 1302, 447, 555, 248, 4740, 2705, 276, 19338, 274, 11260, 5077, 314, 31768, 6319, 581, 29140, 274, 2133, 1508, 14, 5351, 14, 35034, 14, 13467, 11071, 9904, 286, 5192, 3532, 4566, 16, 0, 2370, 487, 646, 15, 31091, 313, 1884, 15, 15062, 3313, 286, 13422, 15546, 12334, 945, 403, 867, 282, 7815, 743, 18231, 14, 1834, 21554, 14, 387, 254, 980, 274, 374, 18, 19, 27, 387, 4117, 3313, 4549, 16, 188, 1630, 21554, 1091, 4756, 841, 695, 17804, 282, 254, 2586, 274, 254, 37536, 4633, 1834, 21554, 274, 338, 27, 18, 26, 1091, 587, 1215, 322, 2919, 254, 27774, 3595, 6930, 17512, 1884, 5626, 3532, 14, 248, 26841, 2522, 6140, 276, 338, 26, 27, 27, 286, 8697, 4131, 348, 272, 13597, 11061, 4516, 324, 254, 4549, 44942, 16, 188, 510, 21241, 3532, 14, 533, 37804, 39314, 348, 254, 5039, 1379, 32214, 276, 254, 338, 27, 26, 26, 2986, 8229, 1825, 3060, 18965, 40309, 33, 532, 624, 3970, 5444, 348, 248, 628, 274, 309, 4495, 457, 85, 5065, 3124, 1643, 4516, 14, 348, 248, 1643, 18914, 14, 587, 14663, 19784, 4674, 561, 407, 906, 487, 646, 15, 31091, 313, 1884, 15, 15062, 3313, 282, 3217, 353, 713, 1321, 889, 324, 254, 801, 671, 276, 695, 2803, 16, 188, 2370, 487, 646, 15, 31091, 313, 1884, 15, 15062, 3313, 286, 13422, 15546, 12334, 945, 14, 343, 1305, 432, 254, 4549, 43837, 274, 24641, 398, 26340, 286, 34436, 3836, 314, 33268, 21328, 581, 587, 22509, 1464, 888, 713, 254, 25986, 3532, 5983, 248, 6949, 15, 1775, 11768, 324, 4117, 4549, 16, 188, 1725, 6804, 407, 13422, 15546, 12334, 945, 1091, 7109, 17, 4262, 274, 4549, 457, 85, 20411, 40777, 17790, 4745, 4549, 14, 286, 628, 29192, 274, 15913, 286, 14209, 19049, 13422, 15546, 13919, 14, 1834, 21554, 311, 2179, 265, 282, 3064, 1017, 15, 14327, 3051, 3327, 3284, 14, 6949, 8227, 14, 1830, 35648, 14, 42959, 14, 26741, 14, 5557, 38246, 286, 3015, 3284, 16, 188, 18283, 912, 763, 22731, 14, 254, 495, 14, 19, 23, 26, 18317, 79, 3284, 286, 33317, 18231, 587, 3858, 248, 2194, 6134, 5192, 274, 495, 14, 18, 18, 18, 286, 587, 42472, 2623, 9692, 14, 20805, 286, 15569, 348, 963, 348, 248, 1162, 274, 5069, 494, 16566, 3551, 286, 328, 10968, 2653, 286, 16727, 23943, 14, 2328, 324, 248, 7573, 4311, 18231, 16, 731, 587, 1741, 387, 254, 2710, 274, 4117, 3313, 4549, 457, 85, 7943, 24, 18, 18, 79, 7270, 14, 286, 3517, 254, 8906, 457, 85, 338, 18, 394, 18505, 802, 14, 40256, 4117, 3313, 4549, 457, 85, 1844, 348, 254, 563, 15, 927, 11768, 324, 417, 756, 7928, 532, 2653, 14, 14209, 14, 3284, 286, 8227, 16, 188, 22714, 786, 909, 324, 254, 6949, 6315, 286, 2150, 274, 1834, 21554, 14, 13422, 15546, 12334, 945, 587, 669, 9929, 254, 18231, 1438, 3461, 16, 11655, 328, 432, 254, 33295, 274, 17790, 4745, 4549, 14, 533, 555, 11776, 11444, 905, 6854, 276, 811, 763, 1090, 1544, 5742, 695, 10723, 14, 3327, 286, 14209, 26436, 13422, 15546, 13919, 587, 13153, 254, 4869, 274, 254, 3327, 2868, 14, 8920, 248, 743, 1683, 282, 3112, 15, 21397, 2286, 7989, 4326, 276, 4549, 16, 188, 510, 743, 3327, 286, 3284, 2245, 587, 1336, 1949, 46467, 254, 4549, 43837, 274, 24641, 398, 26340, 286, 34436, 3836, 457, 85, 3051, 14209, 23064, 14, 2049, 343, 254, 13815, 7943, 26, 15026, 22075, 274, 5065, 3124, 830, 323, 47162, 3867, 311, 2124, 254, 5511, 1581, 274, 26402, 286, 8698, 17236, 5742, 615, 10723, 16, 188, 510, 15251, 555, 669, 643, 5723, 315, 2865, 407, 254, 5189, 457, 85, 12616, 331, 32927, 21462, 16497, 854, 663, 7020, 254, 743, 18231, 13466, 343, 254, 17786, 274, 4549, 457, 85, 7899, 324, 248, 30613, 2286, 15, 2523, 6795, 16, 188, 1516, 6151, 15251, 4797, 628, 274, 13422, 15546, 12334, 945, 457, 5535, 282, 3217, 248, 2787, 274, 11967, 743, 2288, 8247, 282, 254, 5427, 16, 1834, 21554, 587, 321, 254, 1250, 276, 248, 2868, 274, 743, 27947, 687, 254, 1689, 338, 20, 2524, 16, 188, 10013, 9263, 276, 4929, 14, 343, 1834, 21554, 867, 282, 7815, 387, 254, 980, 274, 374, 18, 19, 27, 16, 0, 44374, 36856, 330, 2280, 286, 7446, 5834, 16, 188, 6906, 42, 10463, 3290, 4703, 32991, 282, 254, 2560, 274, 2728, 286, 8476, 2104, 16, 839, 452, 387, 1824, 374, 1015, 4703, 8372, 39574, 11328, 327, 3709, 254, 2728, 286, 8476, 2104, 286, 512, 274, 772, 4703, 8372, 39574 ]

[ 1, 14, 42549, 286, 669, 27067, 403, 3713, 19774, 432, 633, 21934, 276, 8726, 343, 29081, 8681, 434, 29923, 41384, 1919, 11050, 7530, 314, 5844, 481, 188, 12254, 3015, 3944, 8549, 452, 12407, 624, 286, 624, 4489, 974, 254, 7609, 1354, 888, 615, 3551, 580, 38353, 387, 248, 671, 16, 496, 23913, 13352, 2877, 476, 321, 11834, 254, 1062, 1689, 1362, 16, 5243, 15393, 512, 4126, 2876, 3103, 276, 248, 12136, 1362, 327, 3672, 4987, 13352, 2877, 43754, 16, 16144, 5534, 21693, 747, 16601, 1919, 432, 254, 1874, 43723, 16222, 353, 37248, 343, 2657, 282, 21693, 2536, 15, 484, 286, 3915, 254, 25284, 43709, 16120, 3944, 407, 960, 248, 42718, 248, 338, 18, 42031, 399, 1717, 2877, 276, 11798, 5556, 14, 18640, 16, 2009, 2283, 248, 13352, 2877, 10047, 254, 3015, 343, 1004, 642, 286, 2739, 18003, 682, 6536, 43953, 4400, 286, 4214, 16, 36840, 311, 2041, 282, 4564, 1919, 254, 6536, 327, 555, 39425, 597, 1444, 615, 8841, 14, 9931, 14, 3838, 248, 1956, 4214, 14167, 286, 11834, 13352, 2877, 16, 1664, 311, 641, 872, 282, 7156, 254, 4806, 4250, 1129, 15005, 17402, 248, 13352, 2877, 10238, 21693, 8346, 286, 12136, 1362, 390, 4895, 2065, 14822, 324, 3997, 16, 16144, 254, 8927, 43953, 1903, 407, 1851, 248, 3015, 12136, 1362, 16, 380, 4987, 42718, 248, 338, 18, 42031, 399, 1717, 2877, 276, 11798, 5556, 14, 18640, 476, 1041, 633, 2133, 8778, 286, 5079, 29, 3997, 403, 1438, 282, 321, 5058, 282, 321, 3103, 16, 188, 2943, 368, 8617, 665, 13352, 2877, 997, 324, 580, 327, 434, 328, 25541, 282, 1041, 254, 2545, 1181, 6742, 2066, 324, 368, 286, 17, 264, 633, 2485, 14167, 282, 751, 254, 2545, 2152, 16, 188, 35, 2442, 274, 596, 1242, 2732, 282, 1074, 836, 13352, 2877, 43754, 14, 596, 872, 282, 2033, 254, 1479, 274, 8553, 596, 650, 8065, 324, 512, 615, 21693, 16, 826, 2034, 327, 596, 452, 282, 3533, 748, 7670, 276, 2349, 274, 4747, 14, 4720, 286, 2884, 596, 2353, 16, 380, 9836, 587, 321, 3303, 407, 254, 624, 11282, 30980, 596, 587, 1323, 348, 963, 348, 254, 9836, 274, 21934, 327, 587, 898, 432, 436, 2107, 16, 731, 587, 669, 321, 1707, 2154, 254, 2245, 328, 533, 254, 8553, 587, 321, 1649, 16, 380, 642, 1110, 596, 872, 282, 3533, 311, 254, 671, 276, 533, 596, 1782, 872, 836, 13352, 12935, 387, 615, 3487, 16, 188, 3269, 1633, 282, 254, 5900, 274, 2958, 2779, 254, 27979, 1628, 3108, 14, 368, 774, 452, 248, 7656, 12136, 5527, 1063, 368, 16, 12033, 390, 417, 368, 452, 248, 10132, 390, 811, 328, 633, 1193, 286, 272, 14190, 14, 5601, 3081, 254, 18716, 311, 248, 5527, 327, 476, 1354, 248, 4422, 274, 1842, 16, 1286, 368, 1797, 643, 23810, 286, 900, 248, 13352, 2877, 14, 368, 452, 1143, 436, 5527, 6742, 276, 4684, 16, 1395, 774, 1354, 2626, 561, 282, 254, 13352, 2877, 3082, 274, 42179, 1061, 668, 748, 311, 41144, 11146, 390, 774, 321, 25934, 324, 368, 282, 18927, 16, 399, 1717, 2877, 18716, 18138, 587, 2156, 1354, 1521, 274, 23006, 939, 4806, 1649, 276, 615, 13352, 12935, 282, 915, 748, 476, 2374, 561, 18927, 390, 4780, 321, 295, 3094, 286, 748, 476, 563, 282, 27609, 830, 1841, 11799, 16, 1664, 403, 14167, 254, 13352, 2877, 14, 368, 1782, 872, 282, 1354, 436, 15595, 4684, 282, 2330, 633, 4665, 2292, 343, 633, 1922, 21693, 2485, 16, 188, 10296, 3691, 1061, 248, 5348, 742, 324, 254, 21693, 22836, 328, 1922, 3015, 33423, 14, 368, 587, 3751, 248, 19555, 1903, 1922, 3015, 276, 641, 671, 16, 1822, 274, 254, 21693, 311, 1438, 282, 321, 37954, 7110, 286, 4214, 1628, 713, 254, 13352, 2877, 343, 561, 17395, 254, 7076, 276, 254, 2133, 16, 1011, 21550, 282, 274, 42718, 248, 338, 18, 42031, 399, 1717, 2877, 276, 11798, 5556, 18138, 311, 596, 321, 2056, 327, 254, 15005, 21693, 311, 295, 15, 12296, 265, 276, 254, 6752, 11146, 1308, 593, 14, 254, 14116, 274, 6752, 16942, 348, 628, 274, 633, 32412, 311, 1438, 282, 321, 1637, 286, 436, 587, 4646, 254, 2288, 274, 18716, 12192, 276, 633, 20872, 16, 188, 686, 944, 276, 254, 4902, 21934, 403, 4904, 561, 328, 1033, 2065, 3596, 286, 626, 434, 248, 11956, 274, 7362, 21934, 3238, 3780, 390, 2342, 18166, 16, 2640, 641, 4273, 747, 17058, 21999, 14, 3780, 8952, 390, 4895, 15803, 346, 32071, 1482, 85, 513, 417, 747, 282, 915, 254, 25595, 274, 21934, 276, 2969, 274, 615, 9648, 533, 476, 9760, 254, 4377, 11141, 1593, 274, 2485, 14, 39262, 390, 7827, 27579, 16, 1997, 436, 671, 626, 2144, 254, 872, 274, 248, 1162, 274, 42718, 248, 338, 18, 42031, 399, 1717, 2877, 276, 11798, 5556, 2497, 390, 4895, 21934, 10000, 533, 476, 1354, 1521, 274, 21934, 16, 399, 1717, 12935, 11834, 407, 836, 18716, 18138, 476, 321, 4694, 1575, 273, 254, 3532, 390, 4895, 9564, 2019, 432, 2836, 2228, 14, 368, 872, 282, 1354, 8738, 327, 353, 933, 321, 2066, 432, 1802, 593, 327, 836, 3395, 274, 18716, 4273, 476, 1354, 254, 21934, 286, 440, 15, 2711, 254, 13352, 12935, 16, 188, 43, 715, 417, 3853, 368, 961, 282, 20561, 561, 248, 19413, 282, 7688, 248, 21693, 42718, 248, 338, 18, 42031, 399, 1717, 2877, 276, 11798, 5556, 14, 17329, 3, 3730, 434, 248, 997, 387, 748, 368, 476, 513, 282, 7688, 248, 1157, 1294, 328, 633, 18716, 314, 14508, 1851, 282, 15373, 254, 13352, 2877, 32546, 272, 4325, 374, 18, 390, 593, 328, 254, 1874, 29867, 188, 24357, 14, 343, 248, 432, 248, 9884, 18876, 8346, 2497, 14, 368, 476, 1364, 532, 417, 1824, 1309, 6939, 391, 1958, 592, 282, 1033, 2379, 25595, 274, 21693, 276, 286, 1444, 633, 2779, 286, 1903, 597, 254, 23564, 286, 17103, 2104, 324, 248, 2560, 6949, 743, 867, 274, 5553, 2245, 286, 10123, 14603, 16, 380, 4869, 274, 25369, 7089, 273, 3134, 476, 5846, 2674, 3148, 432, 1683, 41216, 22836, 324, 368, 282, 16601, 22836, 14, 343, 254, 6343, 274, 29479, 7924, 14, 41529, 9286, 4605, 14, 286, 3615, 3462, 16, 1395, 476, 1002, 6894, 254, 13352, 2877, 8013, 742, 276, 633, 1683, 286, 2507, 254, 5374, 19688, 368, 282, 8903, 5166, 328, 254, 12209, 2042 ]

[ 1, 4087, 719, 14, 374, 18, 18, 26, 407, 254, 36822, 16, 0, 24811, 1350, 933, 3298, 561, 254, 889, 274, 20337, 21984, 324, 492, 87, 1086, 286, 1382, 40627, 14, 272, 35372, 3819, 327, 9804, 1309, 311, 624, 2692, 282, 1123, 20520, 899, 5588, 683, 3054, 615, 3753, 16, 188, 24811, 1350, 933, 980, 254, 889, 274, 20337, 21984, 324, 492, 87, 1086, 286, 1382, 40627, 14, 272, 35372, 3819, 254, 1350, 555, 17752, 328, 324, 1480, 1034, 16, 188, 6690, 2086, 452, 7527, 641, 6442, 16, 8873, 4890, 15563, 1311, 2131, 729, 282, 21984, 1317, 338, 14, 25, 26, 19, 2008, 276, 374, 18, 19, 24, 16, 188, 6004, 836, 3778, 913, 688, 39753, 7552, 670, 2352, 282, 254, 944, 3225, 4260, 931, 14, 596, 1311, 1754, 4890, 480, 5193, 5588, 324, 1303, 48049, 19059, 2019, 624, 2156, 683, 642, 2957, 16, 11072, 2630, 274, 2957, 1280, 596, 1582, 28990, 5588, 3569, 756, 19059, 403, 40979, 2079, 390, 3400, 1919, 16, 188, 39120, 17530, 15, 6137, 546, 9804, 5041, 327, 15508, 836, 5588, 276, 21984, 1317, 476, 1123, 20520, 899, 729, 286, 2759, 729, 282, 765, 561, 624, 3082, 274, 1637, 16, 7859, 273, 254, 889, 274, 21984, 276, 836, 2153, 311, 1157, 3526, 254, 22180, 933, 19082, 16, 188, 35, 10149, 432, 1350, 4529, 16, 4447, 41525, 10837, 569, 3874, 14, 399, 15, 54, 318, 3568, 14, 650, 513, 811, 327, 16, 8677, 7439, 607, 23, 27, 24, 650, 3298, 561, 254, 889, 274, 21984, 276, 492, 87, 4167, 2153, 407, 4029, 374, 18, 19, 27, 14, 1205, 42173, 21984, 274, 1382, 40627, 407, 4029, 374, 18, 20, 18, 16, 188, 1516, 40144, 27570, 650, 1862, 254, 22180, 671, 282, 867, 597, 5630, 21264, 3537, 324, 5588, 663, 1382, 1919, 432, 1683, 1849, 248, 9308, 5158, 274, 254, 24520, 327, 23073, 476, 457, 86, 11504, 16, 19027, 872, 642, 4902, 282, 4856, 248, 1401, 276, 8662, 15829, 248, 886, 390, 888, 282, 254, 9931, 16, 188, 686, 254, 2391, 14, 436, 311, 830, 254, 1350, 555, 4104, 282, 7065, 16, 2028, 35835, 4667, 254, 2253, 17915, 7439, 276, 338, 27, 27, 23, 14, 596, 13556, 254, 1533, 650, 1336, 4540, 25613, 45188, 343, 1181, 15, 33222, 3134, 16, 380, 2843, 369, 327, 15563, 650, 889, 21984, 756, 348, 248, 1364, 17431, 14, 390, 276, 7323, 2153, 670, 596, 20842, 324, 248, 1401, 457, 85, 5098, 16, 188, 1931, 23073, 452, 13179, 2094, 276, 2602, 23862, 597, 343, 2501, 324, 11881, 16, 21326, 1125, 274, 254, 1350, 457, 85, 495, 27, 21154, 1311, 3367, 19927, 276, 8662, 15803, 11799, 14, 5630, 17316, 8946, 327, 403, 46580, 2502, 2876, 1382, 40627, 254, 1336, 286, 25003, 596, 872, 16, 188, 510, 1350, 555, 2152, 248, 1157, 2545, 276, 3225, 1090, 20760, 5588, 663, 16574, 2079, 1919, 432, 254, 1278, 975, 14, 7004, 407, 15679, 11881, 819, 348, 3015, 492, 87, 4167, 15979, 16, 1547, 872, 282, 1916, 2154, 1093, 5861, 1205, 17246, 1382, 40627, 286, 615, 5703, 751, 2013, 1305, 3134, 16, 188, 2686, 2034, 41423, 8141, 324, 1885, 15, 3066, 7916, 819, 348, 5011, 1963, 4767, 1849, 272, 7076, 327, 2893, 532, 327, 417, 512, 21154, 476, 2023, 977, 1012, 16, 188, 1934, 3298, 561, 1303, 48049, 8690, 21984, 407, 254, 48113, 276, 10837, 569, 3874, 457, 85, 5837, 14, 23073, 476, 457, 86, 3236, 16, 1547, 1339, 1074, 688, 2501, 436, 802, 282, 1674, 276, 836, 5503, 3134, 16, 330, 1157, 1242, 650, 321, 282, 1477, 1495, 274, 10837, 569, 3874, 457, 85, 18062, 14, 8677, 7439, 719, 22, 24, 25, 14, 533, 650, 818, 7688, 8662, 15803, 3925, 19927, 276, 1241, 274, 254, 21154, 327, 28990, 254, 944, 1303, 48049, 5588, 16, 2003, 5837, 650, 2042, 254, 1350, 1637, 683, 370, 20, 2945, 248, 802, 14, 248, 19163, 10761, 2332, 276, 254, 3514, 274, 254, 1350, 457, 85, 370, 22, 21, 16, 25, 15, 45231, 1745, 37491, 7363, 16, 188, 23661, 15683, 933, 1041, 248, 11527, 2966, 282, 3408, 12552, 273, 5588, 3569, 756, 11808, 403, 40979, 2079, 390, 3400, 1919, 16, 188, 3602, 835, 1339, 946, 939, 343, 5146, 282, 5256, 836, 2086, 4574, 751, 254, 1305, 596, 872, 16, 0, 35809, 3618, 16054, 1572, 12985, 15, 19, 3847, 10938, 21793, 14359, 496, 23355, 11558, 588, 496, 6364, 26703, 9222, 22373, 496, 4002, 16, 188, 40, 6641, 494, 378, 21464, 1572, 12985, 15, 19, 3847, 10938, 21793, 14359, 496, 23355, 11558, 588, 496, 6364, 24242, 9222, 22373, 496, 4002, 16, 188, 40, 6641, 494, 378, 21464, 1572, 12985, 15, 20, 3847, 10938, 21793, 14359, 496, 23355, 11558, 588, 496, 6364, 4270, 9222, 22373, 496, 4002, 16, 188, 35809, 3618, 14354, 466, 1572, 12985, 15, 21, 3847, 10938, 2009, 1208, 496, 23355, 11558, 588, 496, 6364, 5065, 9222, 22373, 496, 22451, 16, 188, 35809, 3618, 712, 19801, 1572, 12985, 15, 19, 3847, 10938, 2009, 1208, 23355, 11558, 588, 496, 6364, 26703, 9222, 22373, 496, 22451, 16, 188, 35809, 3618, 712, 19801, 1572, 12985, 15, 20, 3847, 10938, 2009, 1208, 496, 23355, 11558, 588, 496, 6364, 5403, 5065, 9222, 22373, 496, 22451, 16, 0, 19011, 5667, 441, 597, 328, 748, 368, 452, 643, 2430, 3970, 16, 188, 6957, 328, 254, 6237, 2622, 282, 7325, 561, 633, 43766, 1280, 5690, 314, 10117, 3258, 14115, 11, 286, 360, 587, 2408, 353, 276, 248, 43766, 1280, 16, 380, 43766, 1280, 587, 321, 9055, 13398, 348, 5958, 403, 2865, 15, 5370, 328, 254, 9607, 6702, 2951, 2622, 16, 188, 6957, 328, 254, 6237, 2622, 282, 915, 633, 7512, 3225, 3680, 85, 9, 5958, 16, 1395, 933, 452, 2865, 254, 9607, 3661, 29, 2228, 603, 368, 872, 254, 9607, 959, 14, 4356, 4436, 8464, 34, 46000, 7630, 517, 319, 16, 2000, 16, 0, 50, 11236, 1392, 633, 9837, 1362, 286, 2286, 343, 836, 3396, 6567, 286, 2666, 16461, 37384, 85, 3, 34594, 85, 2154, 8088, 282, 5053, 432, 276, 1125, 1015, 8815, 14, 1648, 347, 11478, 2450, 706, 26489, 37384, 85, 3333, 28528, 946, 254, 2951, 14211, 328, 254, 1628, 1874, 274, 1033, 3135, 390, 254, 48098, 6951, 4708, 328, 254, 977, 1874, 274, 436, 3135, 282, 1074, 811, 254, 977, 20870, 706, 11679, 12454, 324, 368 ]

[ 1, 7204, 19966, 274, 8118, 3059, 374, 18, 18, 23, 286, 9887, 274, 2218, 282, 1460, 765, 14, 374, 18, 19, 25, 16, 1547, 497, 2117, 327, 1868, 286, 1460, 4783, 276, 2142, 19454, 311, 14807, 274, 1321, 16, 5105, 6166, 811, 1920, 436, 1460, 348, 37994, 2380, 16, 188, 3294, 254, 980, 274, 254, 21890, 14, 367, 14567, 9274, 4078, 29452, 4487, 1260, 5093, 13963, 17821, 254, 4863, 282, 889, 254, 8988, 43, 1533, 324, 16580, 931, 432, 1015, 4822, 16, 750, 14258, 729, 282, 889, 3783, 7077, 2983, 282, 9747, 1460, 286, 17246, 946, 15, 8549, 274, 615, 6109, 16, 188, 510, 4863, 497, 669, 1635, 20960, 328, 11905, 274, 3609, 16, 188, 30687, 14, 331, 5254, 43, 286, 367, 14567, 2828, 248, 2243, 7847, 276, 436, 2657, 387, 12258, 22957, 5523, 9333, 314, 45, 4926, 481, 188, 45744, 4487, 1260, 5093, 13963, 9274, 4078, 367, 14567, 749, 626, 933, 321, 272, 11570, 2024, 324, 18144, 282, 889, 8988, 43, 276, 248, 1432, 4980, 348, 276, 436, 5698, 2289, 254, 6905, 274, 8988, 43, 311, 272, 1726, 4817, 324, 18144, 16, 188, 1304, 749, 276, 2391, 353, 369, 2746, 282, 751, 1002, 1321, 1460, 14, 532, 360, 1012, 452, 272, 1460, 30626, 14, 343, 5534, 13733, 274, 1460, 2066, 248, 5370, 1919, 16, 188, 1304, 749, 8988, 43, 311, 248, 1157, 1026, 282, 751, 10227, 1460, 324, 3547, 6109, 16, 0, 4119, 11107, 7025, 1111, 36, 609, 1625, 309, 6449, 4708, 343, 7407, 75, 418, 11354, 328, 743, 3425, 3, 188, 10687, 353, 4955, 4528, 35426, 286, 14916, 1625, 4574, 4540, 324, 248, 271, 3627, 4528, 769, 18952, 276, 29982, 1756, 254, 6151, 3603, 276, 35426, 457, 85, 45534, 6612, 2868, 532, 360, 452, 353, 2966, 324, 368, 4528, 188, 2300, 436, 5866, 596, 1081, 2241, 668, 615, 2391, 6656, 4528, 188, 27781, 22527, 432, 14916, 1625, 15, 1590, 43, 6323, 276, 2314, 343, 368, 1209, 310, 6323, 276, 2314, 14, 3122, 14, 310, 2891, 441, 1209, 2572, 14, 310, 961, 790, 1209, 21314, 479, 593, 8461, 1891, 1209, 2714, 32238, 368, 14, 368, 457, 251, 254, 580, 310, 961, 1756, 2374, 561, 254, 2774, 4358, 2622, 3, 0, 2549, 504, 387, 11667, 21908, 20843, 3124, 286, 770, 759, 272, 11967, 743, 8629, 274, 1464, 14, 830, 35324, 476, 3768, 6109, 286, 770, 759, 254, 24031, 1426, 274, 21080, 16, 496, 436, 3015, 14, 20445, 3686, 3134, 403, 2449, 16, 380, 1336, 368, 1782, 1074, 387, 20445, 3686, 7681, 311, 5740, 670, 368, 872, 353, 14, 343, 254, 4590, 274, 27141, 254, 1305, 3134, 2347, 282, 3191, 348, 1827, 15, 29925, 348, 1841, 16, 9120, 2966, 286, 9165, 843, 11667, 21908, 20843, 3124, 311, 254, 3834, 4793, 324, 35324, 10292, 20445, 3686, 3134, 16, 188, 32977, 40022, 4626, 388, 2096, 546, 15, 8399, 317, 570, 1521, 11399, 3290, 43496, 546, 1521, 16, 388, 2096, 546, 1521, 311, 272, 19854, 274, 1683, 1521, 286, 9259, 1521, 2449, 282, 5485, 1283, 3234, 2765, 1338, 286, 1305, 615, 5703, 939, 615, 10187, 2008, 16, 0, 5639, 457, 86, 1074, 254, 2525, 11282, 324, 633, 743, 16579, 29575, 33, 1286, 368, 452, 3542, 390, 12687, 561, 254, 3325, 343, 254, 16579, 29575, 11282, 286, 368, 872, 7338, 343, 7336, 14, 2160, 7955, 390, 403, 811, 5940, 276, 254, 13415, 286, 1015, 3357, 274, 633, 16579, 29575, 14, 835, 368, 476, 6013, 248, 2525, 11282, 432, 254, 16579, 29575, 4282, 16, 188, 1982, 254, 11346, 457, 85, 4282, 1042, 417, 1862, 7787, 328, 830, 282, 6013, 248, 16579, 29575, 2525, 11282, 14, 835, 368, 587, 1074, 9567, 274, 16579, 29575, 7262, 276, 772, 5287, 16, 11352, 248, 997, 387, 772, 5786, 11877, 324, 633, 1748, 1830, 14, 248, 624, 7212, 16579, 29575, 2525, 587, 12991, 321, 2041, 282, 1336, 368, 343, 254, 7336, 16, 0, 5844, 559, 32423, 444, 329, 1838, 81, 2992, 321, 248, 6949, 743, 3064, 274, 769, 686, 77, 305, 334, 81, 666, 3, 188, 2300, 4929, 338, 20, 14, 353, 369, 5618, 407, 32423, 444, 329, 1838, 81, 457, 85, 2485, 500, 15144, 23132, 327, 701, 311, 7353, 248, 3442, 274, 254, 13398, 3327, 1225, 348, 272, 14875, 16, 1469, 2992, 321, 815, 15, 5305, 273, 343, 6547, 42288, 39, 1374, 457, 85, 44248, 29742, 4917, 343, 254, 6593, 8802, 16, 188, 38, 5082, 457, 85, 37478, 22238, 29874, 252, 11958, 1051, 432, 616, 2472, 348, 272, 14875, 274, 254, 1225, 328, 4929, 495, 16, 188, 2721, 250, 444, 329, 1838, 81, 1143, 616, 11082, 348, 272, 19850, 1525, 254, 374, 18, 19, 24, 6268, 769, 26630, 3527, 6683, 28, 330, 11813, 8229, 15695, 265, 666, 286, 555, 1544, 4634, 328, 282, 1606, 276, 8663, 819, 974, 254, 6268, 769, 14626, 605, 28, 380, 17196, 33139, 666, 286, 254, 14164, 769, 23712, 38651, 1397, 1469, 2865, 248, 9315, 8126, 3059, 559, 10945, 328, 254, 374, 18, 19, 26, 354, 3851, 47646, 17646, 324, 616, 6555, 1525, 254, 14164, 16, 188, 1590, 686, 77, 305, 334, 81, 666, 2257, 85, 1004, 6741, 387, 495, 28, 23, 18, 269, 16, 79, 16, 610, 1244, 328, 323, 4309, 16, 188, 19499, 254, 25231, 8802, 758, 3, 0, 1212, 403, 2731, 324, 248, 8899, 4050, 282, 6429, 906, 69, 537, 265, 687, 254, 5603, 16, 188, 2231, 1985, 2705, 311, 3202, 2228, 368, 1339, 321, 2041, 282, 7368, 7478, 3621, 282, 785, 343, 9290, 2632, 747, 254, 5396, 1948, 11786, 7014, 16, 5066, 688, 2150, 3621, 311, 8778, 16, 0, 686, 1596, 282, 5194, 11841, 45449, 12347, 14, 16832, 1116, 15, 12174, 265, 2653, 286, 12061, 328, 3046, 14, 360, 1663, 282, 633, 2288, 4196, 1827, 15, 29925, 14, 593, 327, 254, 785, 286, 3941, 311, 2019, 5023, 432, 368, 16, 380, 10542, 3446, 407, 772, 5372, 10932, 13810, 286, 5058, 2214, 311, 15955, 1562, 790, 16, 839, 11882, 368, 286, 633, 12603, 587, 321, 17339, 407, 1081, 254, 3184, 286, 2497, 43643, 42116, 1027, 4013, 24224, 12794, 587, 3217, 282, 633, 2628, 2288, 16, 188, 35, 3027, 1269, 21841, 311, 811, 248, 4654, 536, 0, 43, 452, 1845, 13500, 14, 2075, 1416, 33, 5879, 2706, 33, 5879, 14687, 33, 188, 1253, 311, 353, 327, 2701, 441 ]

[ 1, 19539, 16, 310, 1328, 328, 248, 1409, 282, 1074, 248, 41491, 1026, 282, 3709, 254, 7588, 593, 353, 476, 321, 248, 19699, 314, 89, 27056, 11, 26082, 11295, 1037, 390, 4780, 248, 8901, 3, 188, 4792, 403, 512, 1241, 276, 5147, 1874, 407, 1874, 16, 188, 43, 774, 10011, 436, 10786, 2133, 276, 254, 2764, 14, 1544, 310, 2102, 452, 5694, 14, 286, 836, 4254, 35603, 390, 4931, 625, 1115, 8563, 14, 593, 626, 434, 1623, 641, 2863, 642, 683, 618, 671, 328, 836, 16, 1678, 14, 436, 369, 254, 1364, 274, 254, 347, 29158, 5694, 4, 327, 310, 1797, 1663, 2362, 593, 2019, 14, 593, 1495, 3074, 587, 452, 282, 3236, 1863, 310, 1074, 1495, 40979, 1868, 16, 14450, 16841, 479, 327, 254, 3837, 391, 30246, 7242, 310, 1797, 643, 2731, 387, 403, 1143, 432, 2057, 15809, 14, 286, 310, 1328, 2367, 343, 576, 23, 85, 14, 286, 327, 774, 321, 254, 2967, 16, 1638, 353, 1841, 282, 1041, 248, 576, 23, 713, 248, 3837, 391, 30246, 11295, 33, 310, 1328, 417, 2056, 29, 4895, 310, 587, 1074, 561, 580, 1362, 16, 2141, 310, 807, 915, 843, 1181, 272, 5241, 311, 387, 254, 1922, 7433, 2031, 4513, 286, 1574, 248, 1887, 580, 16, 188, 4412, 22936, 5446, 618, 4304, 22118, 10780, 14, 310, 4285, 327, 310, 961, 282, 452, 272, 18980, 274, 843, 1125, 274, 533, 6073, 310, 452, 16, 310, 865, 688, 274, 254, 23345, 18560, 310, 23089, 1848, 625, 1663, 597, 14, 593, 310, 1817, 747, 282, 865, 533, 4254, 310, 933, 2322, 386, 1063, 353, 434, 1480, 3447, 282, 1242, 729, 16, 310, 6774, 618, 1364, 14205, 274, 12567, 2966, 14, 593, 2304, 3148, 23220, 276, 254, 8659, 14, 310, 933, 321, 867, 3, 310, 476, 756, 1141, 274, 580, 642, 5081, 327, 310, 961, 282, 1574, 286, 310, 587, 997, 324, 327, 670, 310, 1450, 888, 282, 31342, 14740, 282, 4349, 1495, 8136, 25157, 22630, 314, 264, 763, 481, 310, 1623, 16315, 713, 46191, 343, 1081, 4525, 428, 310, 811, 3409, 353, 512, 7613, 561, 963, 286, 360, 476, 3869, 772, 1963, 324, 1637, 407, 5511, 772, 1193, 3, 8718, 310, 476, 751, 618, 2057, 18980, 1581, 2152, 436, 2065, 1205, 310, 3236, 324, 254, 12567, 282, 12317, 16, 2552, 310, 1782, 865, 748, 282, 4304, 286, 807, 513, 618, 30610, 436, 8621, 603, 2631, 1952, 3144, 597, 16, 26308, 274, 2211, 327, 512, 274, 254, 12567, 12317, 436, 2065, 16, 188, 43, 22933, 597, 343, 254, 46191, 353, 349, 1037, 593, 310, 37399, 688, 23345, 35604, 286, 295, 15, 3192, 4482, 254, 4304, 22118, 959, 16, 8829, 2942, 1938, 14, 310, 369, 9781, 343, 618, 46191, 4631, 16, 188, 43, 1143, 254, 7213, 282, 254, 44825, 15663, 286, 4904, 597, 763, 39353, 286, 248, 4304, 1677, 16, 380, 1241, 5694, 310, 573, 327, 4931, 625, 1115, 977, 452, 643, 3259, 265, 343, 960, 254, 4304, 1677, 286, 580, 274, 254, 39353, 282, 1574, 282, 825, 729, 713, 39353, 276, 254, 13810, 16, 380, 801, 580, 7871, 670, 21563, 14, 593, 618, 3074, 4104, 16, 2552, 14450, 3419, 353, 248, 4950, 286, 520, 3416, 561, 1755, 14, 532, 417, 3834, 16, 380, 2543, 3074, 311, 276, 254, 13810, 1012, 16, 310, 1782, 1574, 282, 751, 7753, 9024, 10590, 282, 913, 843, 360, 1797, 2152, 16, 188, 26255, 2034, 248, 743, 8802, 274, 10567, 274, 595, 21648, 14, 533, 2701, 597, 324, 641, 8659, 16, 310, 1218, 254, 4945, 428, 596, 497, 14724, 3, 310, 1141, 596, 1441, 2430, 963, 7919, 353, 713, 248, 5150, 3514, 16, 0, 2432, 403, 1125, 3395, 274, 26024, 282, 5053, 432, 14, 286, 4419, 254, 580, 327, 1640, 18956, 633, 3095, 286, 7363, 476, 321, 248, 37055, 4686, 16, 310, 11380, 889, 286, 5419, 248, 5372, 12836, 916, 13681, 14, 532, 642, 3395, 2066, 2408, 41847, 14, 5473, 14, 3556, 14, 286, 35866, 9941, 16, 5650, 1479, 274, 916, 13681, 476, 4565, 1157, 1508, 14, 532, 626, 403, 2675, 286, 3888, 7589, 274, 960, 1004, 580, 16, 380, 1964, 8619, 310, 997, 324, 276, 248, 916, 13681, 311, 254, 3621, 282, 4214, 1423, 254, 12061, 4112, 16, 188, 1934, 6111, 10985, 8895, 14, 368, 961, 282, 4277, 14135, 4151, 4738, 418, 4151, 28, 3355, 671, 286, 1656, 3171, 16, 2039, 3995, 4112, 311, 3834, 324, 436, 16, 0, 5459, 15999, 909, 28108, 403, 6742, 282, 3227, 16, 188, 25730, 15619, 1091, 3805, 248, 745, 15999, 909, 5529, 286, 8444, 311, 7826, 348, 248, 3316, 3816, 14, 353, 457, 85, 6742, 282, 5846, 683, 272, 418, 1244, 27208, 975, 16, 188, 24260, 255, 1091, 1860, 22775, 324, 695, 2330, 416, 8885, 14, 272, 418, 1244, 4279, 624, 8435, 14, 3936, 26904, 39353, 14, 286, 3936, 29410, 16, 188, 27302, 23387, 1091, 740, 418, 1244, 555, 1125, 624, 4735, 4105, 683, 248, 745, 15999, 909, 16, 380, 13381, 8497, 254, 2884, 274, 254, 963, 14, 286, 1339, 321, 31588, 4619, 14, 343, 39278, 387, 7414, 11197, 16, 1286, 353, 311, 4032, 15, 78, 537, 693, 456, 14, 254, 13381, 1339, 20406, 1525, 248, 11874, 9154, 31588, 407, 12918, 398, 14, 343, 254, 11874, 9154, 3038, 10594, 3198, 254, 1773, 6564, 12527, 16, 740, 3165, 15, 31336, 8561, 311, 2347, 276, 272, 418, 1244, 282, 3536, 888, 15, 15613, 274, 254, 13381, 314, 4465, 476, 4577, 39278, 286, 2759, 39353, 286, 13381, 282, 440, 11650, 481, 1860, 3536, 1773, 432, 18690, 888, 1051, 254, 963, 830, 353, 476, 11323, 7340, 286, 642, 20942, 14, 254, 975, 933, 452, 2374, 27388, 14, 3614, 1125, 418, 1244, 85, 513, 417, 16, 188, 4357, 331, 2283, 1091, 1860, 17531, 254, 3936, 8845, 274, 272, 418, 1244, 14, 2049, 343, 254, 2258, 4306, 13381, 10040, 14, 254, 1921, 274, 254, 963, 29410, 1339, 321, 3936, 683, 343, 248, 745, 15999, 909, 16, 496, 1596, 14, 248, 745, 15999, 909, 774, 321, 7826, 276, 248, 963, 327, 3432, 457, 86, 4196, 4800, 16, 826, 5480, 282, 254, 6326, 2347, 324, 248, 745, 15999, 909, 12343, 1129, 4434, 286, 20624, 16, 496, 1125, 1068, 14, 254, 12343, 671, 324, 248, 745, 15999, 909, 311, 1637, 683, 2630, 327, 3202, 324, 248, 1360 ]

[ 1, 286, 8856, 327, 2159, 324, 729, 2304, 353, 457, 85, 671, 324, 729, 282, 3437, 615, 1193, 1683, 16, 188, 9534, 602, 1928, 286, 254, 6546, 602, 71, 32878, 6284, 3970, 16897, 27119, 286, 34742, 324, 248, 5786, 328, 47857, 8251, 3686, 286, 1521, 16, 1180, 1093, 663, 497, 417, 2041, 282, 321, 276, 254, 2244, 14, 360, 5781, 254, 2241, 286, 1148, 8, 35, 16, 188, 9534, 602, 1928, 2672, 403, 11272, 266, 314, 264, 3402, 15, 927, 15, 1234, 15, 1203, 602, 266, 11, 663, 9196, 254, 1726, 2472, 20227, 1186, 286, 38622, 9877, 1115, 276, 30692, 772, 3015, 16, 25878, 624, 16, 0, 988, 559, 4988, 343, 7758, 274, 4611, 1723, 3, 188, 10072, 12287, 650, 5041, 248, 2849, 328, 248, 1802, 276, 254, 18024, 390, 276, 248, 5439, 311, 295, 7388, 1238, 834, 16, 2646, 248, 1603, 2819, 368, 3437, 633, 23723, 3108, 16, 4975, 5767, 327, 248, 2094, 7271, 274, 14256, 4611, 7758, 774, 1336, 942, 9050, 432, 3941, 16, 6529, 248, 1427, 2728, 7514, 3802, 1045, 328, 436, 2186, 407, 2410, 443, 1203, 5591, 26582, 16, 188, 1982, 353, 497, 327, 2875, 282, 2330, 3941, 407, 22474, 3089, 248, 2849, 939, 436, 3582, 10048, 3588, 274, 1760, 858, 2139, 4762, 4931, 457, 86, 327, 321, 248, 1247, 1596, 282, 633, 1683, 390, 3780, 14, 390, 348, 248, 8901, 282, 248, 1963, 343, 248, 743, 6676, 33, 188, 1931, 663, 3095, 272, 15817, 282, 2871, 276, 2314, 343, 254, 1760, 858, 2139, 4762, 367, 8391, 451, 12613, 33, 23490, 265, 276, 254, 3447, 338, 27, 21, 18, 457, 85, 248, 671, 276, 2803, 360, 2468, 1052, 3941, 1903, 14, 4780, 254, 7145, 1065, 1102, 353, 1679, 3859, 282, 3687, 254, 5439, 16, 310, 1102, 248, 3270, 274, 254, 2718, 286, 3065, 11961, 9994, 276, 254, 338, 27, 26, 18, 457, 85, 1205, 36250, 254, 5439, 16, 310, 369, 593, 545, 349, 9329, 407, 353, 310, 2790, 3189, 286, 248, 4713, 5439, 2803, 16, 188, 16670, 85, 276, 763, 9300, 403, 1845, 2066, 432, 479, 286, 476, 321, 6774, 1045, 16, 188, 1982, 368, 2314, 3582, 10048, 7901, 1045, 311, 248, 2951, 324, 624, 4221, 16, 188, 43, 715, 272, 9306, 4128, 286, 20866, 274, 3629, 286, 31855, 16, 310, 1102, 641, 12180, 3588, 274, 1760, 858, 2139, 4762, 670, 360, 4255, 1045, 432, 9438, 276, 254, 848, 18, 457, 85, 14, 593, 4285, 310, 650, 16618, 353, 4128, 1851, 6705, 19464, 274, 9138, 31855, 26267, 1125, 274, 729, 3326, 1284, 11116, 26267, 14, 811, 407, 1129, 13947, 16, 2666, 2479, 276, 2006, 14069, 30384, 1394, 479, 282, 248, 3378, 274, 248, 26725, 8458, 1360, 9994, 343, 641, 3189, 1140, 2692, 1143, 324, 254, 338, 27, 21, 27, 18505, 16, 826, 311, 353, 3, 1583, 580, 476, 6982, 254, 45491, 3616, 274, 436, 14069, 9994, 286, 353, 933, 321, 2066, 16, 310, 418, 4594, 1661, 254, 10963, 274, 254, 9994, 343, 5626, 387, 254, 1708, 16, 906, 43755, 532, 593, 977, 324, 436, 5439, 16, 1822, 353, 2961, 369, 248, 4713, 2803, 276, 254, 9650, 2426, 3692, 276, 254, 5017, 1628, 14, 9055, 6234, 4314, 14, 286, 248, 1603, 7020, 15140, 688, 1603, 3483, 327, 497, 12448, 532, 417, 4131, 16, 5431, 1726, 274, 512, 353, 2961, 272, 9306, 457, 85, 1116, 282, 818, 3189, 14, 286, 310, 715, 272, 9306, 14, 593, 399, 10854, 3, 310, 3446, 254, 3189, 960, 3189, 269, 2021, 3560, 16, 14368, 10657, 353, 343, 254, 401, 4518, 4762, 12448, 3588, 310, 2790, 254, 2424, 5516, 533, 311, 593, 3458, 328, 254, 401, 4518, 4762, 3588, 16, 188, 16365, 368, 3051, 2734, 254, 5439, 14, 390, 7829, 6649, 276, 26438, 390, 1382, 276, 254, 21445, 610, 4847, 22996, 324, 254, 331, 459, 16, 11903, 368, 2378, 8812, 254, 21445, 655, 23077, 8258, 34881, 276, 254, 5603, 33, 10078, 368, 1218, 390, 915, 3430, 659, 274, 1129, 248, 8571, 31970, 286, 961, 282, 4010, 1760, 858, 2139, 4762, 33, 1395, 933, 3, 188, 1516, 12448, 3588, 311, 248, 1247, 5158, 274, 27256, 8697, 11961, 265, 276, 254, 338, 27, 21, 18, 457, 85, 14, 343, 1125, 10972, 407, 479, 1648, 3189, 14, 327, 12480, 20712, 368, 314, 600, 282, 3856, 11, 713, 254, 5439, 16, 28390, 282, 865, 624, 274, 254, 2803, 274, 254, 5439, 286, 353, 457, 85, 8641, 33, 15246, 1045, 16, 1223, 624, 8464, 1045, 16, 188, 43, 452, 1012, 1143, 254, 12448, 3588, 2066, 282, 915, 286, 1316, 276, 254, 801, 1321, 1619, 3198, 254, 5439, 3038, 28, 1760, 858, 2139, 4762, 43221, 286, 9512, 4956, 5044, 954, 1547, 452, 248, 1733, 28283, 3588, 977, 1689, 282, 254, 4678, 830, 368, 1316, 14, 286, 596, 1920, 248, 1330, 18980, 274, 254, 7901, 276, 374, 9300, 16, 380, 1760, 858, 2139, 4762, 12613, 274, 1996, 1921, 476, 1845, 321, 6774, 328, 618, 4282, 1045, 16, 188, 4177, 858, 2139, 4762, 43221, 706, 9512, 2020, 5044, 24267, 272, 23734, 46848, 6630, 1022, 2109, 254, 3588, 3, 188, 1130, 311, 248, 1247, 1619, 282, 1316, 10864, 286, 1354, 248, 2849, 4680, 254, 26267, 977, 561, 888, 274, 436, 24670, 3532, 4024, 407, 32313, 267, 286, 16920, 954, 1395, 669, 476, 2035, 31265, 433, 3284, 626, 3, 188, 1982, 368, 1316, 939, 618, 4282, 353, 3809, 495, 390, 576, 1842, 286, 626, 403, 4466, 324, 14659, 254, 3270, 276, 248, 9154, 16, 731, 311, 2066, 1081, 348, 495, 18, 18093, 6106, 348, 8427, 626, 14, 390, 248, 4434, 1921, 338, 26, 18093, 6106, 282, 3637, 254, 4747, 274, 254, 401, 4518, 4762, 12613, 16, 380, 401, 4518, 12613, 533, 311, 2066, 387, 254, 8745, 387, 401, 4518, 3847, 286, 26487, 5044, 276, 10856, 378, 656, 2635, 16, 1286, 368, 961, 282, 915, 254, 401, 4518, 4762, 12613, 286, 843, 353, 6846, 282, 254, 1760, 858, 2139, 4762, 12613, 310, 4025, 668, 353, 1045, 954, 1395, 476, 1845, 3256, 1052, 479, 282, 1316, 353, 16, 576, 19, 20, 15, 22, 18, 19, 15, 26, 26, 19, 20, 16, 188, 1253, 311, 1953, 276, 254, 12448, 1760, 858, 2139, 4762, 12613, 14, 642, 683, 254, 5439, 2575, 14, 26267, 286, 5439, 37940, 33, 46532, 6342, 274, 10501 ]

[ 1, 5055, 282, 607, 28, 18, 18, 5207, 12315, 1682, 407, 1991, 837, 420, 33997, 16, 188, 12412, 3, 8486, 276, 282, 1315, 441, 865, 843, 44103, 1198, 26618, 273, 9241, 369, 33, 188, 25545, 323, 16, 4276, 374, 19, 954, 188, 43, 13407, 2436, 44103, 1198, 432, 44103, 1198, 26618, 273, 343, 248, 2133, 324, 618, 2485, 785, 3377, 16, 839, 2961, 282, 35953, 2218, 772, 1460, 432, 9564, 276, 254, 20280, 16, 839, 4149, 282, 4002, 14, 3918, 14, 25136, 40848, 14, 23123, 14, 5267, 286, 254, 4953, 11401, 328, 2072, 14, 532, 2876, 282, 772, 2485, 931, 328, 254, 8550, 369, 248, 1840, 706, 24126, 1845, 16, 188, 36, 262, 1198, 26618, 273, 9241, 2449, 441, 343, 580, 274, 615, 3462, 347, 2300, 15, 1259, 24902, 7258, 9241, 3333, 839, 1872, 1062, 13109, 286, 5058, 282, 452, 1102, 248, 2485, 327, 807, 2445, 772, 3095, 706, 12308, 16, 44898, 772, 2485, 931, 13665, 286, 2066, 2969, 248, 9621, 10510, 360, 872, 353, 311, 9308, 282, 772, 2485, 2072, 2251, 16, 6971, 24902, 7258, 5322, 403, 248, 26305, 4817, 14, 9377, 14, 7688, 14, 3684, 14, 3364, 282, 34856, 14, 286, 1640, 274, 512, 1062, 17740, 16, 188, 3992, 618, 785, 3377, 311, 4652, 286, 276, 15, 23559, 387, 512, 2008, 14, 368, 811, 872, 2218, 282, 254, 7142, 286, 248, 16101, 16, 14933, 729, 561, 596, 403, 254, 1640, 16, 3646, 563, 282, 615, 4282, 286, 5370, 328, 655, 30126, 30304, 21227, 8647, 41445, 3222, 20477, 16, 188, 21957, 262, 529, 16, 4276, 374, 19, 954, 188, 34660, 892, 354, 16, 4276, 374, 19, 954, 188, 40691, 466, 331, 16, 4276, 374, 19, 954, 188, 32099, 1318, 443, 16, 4276, 374, 19, 954, 188, 43, 14167, 44103, 1198, 26618, 273, 282, 1336, 479, 343, 618, 1683, 975, 286, 11426, 2896, 16, 740, 13897, 369, 11214, 16, 1547, 7053, 328, 671, 286, 2263, 615, 671, 282, 5353, 748, 596, 497, 668, 282, 513, 286, 843, 254, 2774, 9713, 369, 1438, 282, 785, 324, 479, 16, 188, 4412, 596, 497, 2152, 310, 369, 1062, 17339, 343, 254, 2497, 286, 3184, 274, 785, 16, 7823, 2115, 327, 2263, 618, 3983, 369, 327, 596, 497, 1062, 17740, 286, 11719, 451, 16, 1286, 3655, 276, 11052, 3095, 1336, 343, 615, 4242, 390, 2896, 3265, 31214, 44103, 1198, 26618, 273, 9241, 14, 596, 403, 6939, 16, 188, 59, 9335, 331, 16, 4276, 374, 19, 954, 188, 43, 14167, 44103, 1198, 26618, 273, 9241, 282, 1336, 441, 343, 772, 2485, 2896, 14, 11426, 10640, 286, 328, 15, 10968, 1305, 16, 2436, 286, 520, 2214, 403, 26305, 14, 1845, 328, 671, 286, 1062, 5537, 16, 1286, 368, 403, 2731, 324, 272, 7806, 1361, 282, 1305, 633, 2485, 4163, 11367, 286, 3095, 14, 310, 1754, 368, 1052, 729, 368, 587, 417, 321, 18715, 16, 188, 1212, 11719, 1340, 19287, 368, 282, 4010, 772, 4282, 286, 5757, 441, 248, 3751, 16, 1286, 368, 872, 665, 6879, 15, 1405, 15, 39455, 21040, 390, 6879, 390, 7977, 81, 15, 22330, 360, 403, 1045, 282, 9806, 368, 286, 282, 2023, 254, 3134, 368, 403, 2731, 324, 286, 16850, 16, 188, 9509, 11100, 26618, 273, 14, 6313, 7977, 375, 706, 37569, 11100, 14, 18626, 2633, 3399, 14, 1585, 15, 26395, 14763, 14, 10419, 273, 14, 35092, 6443, 597, 706, 8809, 14, 1585, 15, 1259, 11762, 16, 188, 1982, 368, 1797, 643, 282, 390, 900, 44103, 1198, 26618, 273, 9241, 14, 3437, 248, 2207, 16, 0, 7470, 835, 374, 5614, 13048, 785, 328, 618, 12343, 324, 18267, 27022, 560, 16, 1286, 310, 1649, 495, 835, 353, 13048, 2636, 3338, 328, 254, 28832, 16, 1334, 476, 310, 11022, 436, 603, 310, 650, 624, 835, 374, 6151, 3547, 328, 580, 3135, 33, 188, 5639, 368, 913, 633, 2586, 9433, 286, 407, 16452, 495, 16, 839, 476, 2374, 286, 1315, 368, 865, 16, 188, 43, 587, 3510, 368, 254, 10335, 276, 254, 300, 28547, 310, 4856, 1012, 16, 188, 4940, 368, 4856, 479, 633, 4436, 325, 559, 593, 883, 476, 3541, 33, 188, 13447, 34, 3212, 86, 47323, 16, 679, 311, 772, 4436, 2570, 16, 188, 2231, 1848, 457, 86, 751, 665, 4436, 16, 0, 35, 607, 18, 15, 2823, 15, 741, 636, 432, 26668, 304, 77, 5418, 8116, 274, 712, 325, 325, 363, 3180, 276, 20491, 605, 3126, 14, 663, 369, 2367, 348, 248, 21941, 35154, 4513, 7014, 276, 7554, 14, 369, 4950, 3720, 328, 7738, 2286, 16, 188, 510, 23557, 555, 643, 3516, 348, 610, 832, 67, 21148, 472, 5418, 4270, 6249, 16, 380, 6932, 5699, 1205, 4270, 6249, 14, 663, 573, 4255, 282, 7554, 4941, 1090, 3502, 276, 3083, 274, 41956, 14, 369, 10902, 1051, 254, 4513, 16, 188, 510, 367, 560, 318, 6654, 3398, 9572, 444, 72, 302, 25654, 443, 20246, 366, 317, 32062, 14, 374, 27, 29, 5848, 16761, 5629, 15686, 6041, 14, 374, 21, 29, 286, 28465, 45490, 44973, 437, 14, 495, 22, 14, 343, 254, 1336, 274, 38259, 56, 19934, 2066, 387, 254, 4513, 16, 1547, 497, 2131, 282, 9382, 12552, 16, 188, 6942, 282, 4270, 6249, 457, 85, 1963, 276, 529, 377, 268, 14, 345, 369, 7028, 282, 1076, 282, 5267, 3402, 286, 1242, 688, 2072, 1045, 343, 254, 2501, 345, 9548, 407, 2367, 276, 327, 2504, 16, 188, 1590, 1304, 852, 520, 44900, 276, 26668, 304, 77, 5418, 8116, 286, 6140, 520, 4110, 276, 8086, 491, 22657, 16, 2646, 12836, 3448, 276, 2006, 1330, 9094, 345, 4255, 282, 254, 4953, 343, 254, 1336, 274, 520, 3732, 1756, 248, 1963, 3442, 391, 2044, 16, 188, 9984, 6249, 457, 85, 4335, 33514, 9183, 6279, 286, 763, 18808, 23437, 5804, 286, 32820, 9465, 403, 276, 248, 1350, 274, 6779, 16, 769, 1212, 2144, 282, 865, 668, 254, 6932, 756, 328, 8109, 2286, 1756, 4270, 6249, 457, 85, 3282, 427, 1020, 304, 3123, 4270, 6249, 749, 16, 750, 17821, 254, 1350, 2142, 282, 1336, 276, 9487, 254, 4417, 274, 4270, 6249, 282, 520, 7716, 1619, 324, 520, 1364, 391, 3149, 16, 0, 2182, 274, 254, 289, 281, 6655, 85, 14, 2156, 343, 24580, 434, 1336, 16, 188, 584, 337, 268, 633, 3418, 432, 254, 1321, 16, 188, 32, 210, 16968, 883, 1797, 1652, 248 ]

[ 1, 9931, 14, 276, 8446, 14, 286, 276, 13513, 286, 3686, 16, 188, 1934, 330, 4433, 543, 32579, 265, 18424, 21041, 6928, 63, 1963, 14, 6829, 324, 30479, 512, 274, 368, 16, 1395, 7434, 479, 1062, 1181, 16, 310, 5565, 512, 254, 1062, 1640, 324, 254, 2764, 16, 188, 3916, 417, 7395, 618, 3732, 286, 13567, 328, 436, 841, 310, 715, 4634, 4, 188, 686, 248, 4706, 4025, 282, 254, 2421, 5132, 14, 31344, 263, 749, 327, 2421, 933, 2023, 14140, 282, 26023, 263, 3371, 1544, 596, 403, 9999, 10795, 16, 0, 57, 10385, 36405, 283, 781, 929, 570, 495, 23, 311, 2154, 441, 16, 188, 1130, 933, 321, 248, 1157, 913, 16, 330, 1034, 913, 641, 5382, 343, 668, 607, 18, 18, 9862, 328, 254, 3021, 532, 254, 4869, 274, 729, 452, 248, 2187, 274, 2365, 276, 2349, 274, 3637, 3184, 593, 1045, 311, 11213, 324, 248, 1247, 913, 16, 188, 1130, 311, 580, 274, 1093, 2984, 6186, 830, 626, 403, 248, 1603, 9862, 327, 807, 28997, 353, 593, 327, 457, 85, 1845, 5167, 16, 22779, 274, 1887, 9862, 286, 343, 593, 1125, 9862, 360, 452, 282, 3409, 626, 1856, 457, 86, 321, 665, 1051, 2523, 16, 188, 1435, 457, 85, 452, 248, 3055, 997, 387, 254, 6151, 33320, 13282, 327, 360, 457, 619, 321, 1626, 273, 254, 11861, 328, 16, 188, 47, 560, 15327, 9776, 28, 657, 86, 734, 1318, 17555, 387, 428, 19, 22, 18, 16, 7134, 558, 19, 18, 18, 16, 188, 57, 298, 560, 15327, 9776, 28, 418, 31011, 19295, 17555, 387, 428, 19, 19, 23, 16, 7134, 428, 19, 20, 23, 16, 188, 40389, 683, 11779, 1033, 3637, 310, 715, 811, 1438, 282, 1581, 748, 4254, 310, 715, 33320, 16, 188, 40213, 427, 3143, 282, 12577, 28, 330, 1062, 1330, 699, 328, 14450, 3256, 974, 345, 457, 85, 248, 10041, 1922, 16, 3006, 327, 436, 9287, 587, 1623, 1521, 668, 327, 532, 310, 1141, 327, 457, 85, 2151, 282, 7304, 248, 1330, 699, 328, 775, 387, 436, 4236, 16, 310, 457, 79, 2430, 248, 338, 17, 22, 87, 699, 328, 14450, 427, 3143, 16, 188, 57, 298, 560, 17247, 28892, 1091, 380, 7134, 16, 310, 457, 79, 1438, 343, 380, 7134, 687, 36848, 296, 12466, 387, 558, 19, 26, 18, 13282, 16, 3646, 580, 274, 1093, 9862, 830, 310, 476, 915, 272, 13623, 4955, 16, 17307, 1815, 427, 570, 286, 15771, 1711, 650, 3223, 254, 14110, 387, 254, 444, 2727, 1483, 22400, 532, 310, 1141, 596, 807, 3223, 729, 1045, 16, 188, 36, 15800, 282, 3223, 28, 826, 671, 1364, 802, 360, 497, 1438, 939, 254, 1057, 2115, 1091, 34456, 369, 1438, 282, 29947, 276, 254, 14141, 8282, 286, 650, 6979, 16, 1223, 345, 1848, 457, 86, 16, 1664, 403, 2151, 3418, 1045, 282, 699, 328, 34456, 276, 618, 4596, 16, 6788, 663, 1042, 31219, 38605, 343, 1689, 33, 6100, 512, 254, 14110, 1623, 1438, 282, 1767, 33, 7644, 4269, 248, 338, 17, 22, 87, 699, 328, 34456, 282, 3223, 16, 188, 57, 298, 560, 15327, 9776, 28, 32247, 343, 248, 338, 17, 22, 87, 699, 328, 254, 7134, 4488, 418, 31011, 16, 188, 47, 560, 15327, 9776, 28, 338, 17, 20, 87, 328, 380, 7134, 4488, 657, 734, 1318, 16, 11903, 282, 4143, 603, 254, 6978, 46, 5898, 13102, 775, 390, 5745, 16, 188, 2686, 457, 85, 353, 16, 15554, 37681, 282, 563, 343, 17101, 91, 282, 6979, 1091, 532, 353, 8950, 747, 596, 452, 31174, 616, 276, 254, 29323, 43020, 286, 360, 512, 865, 843, 327, 4168, 561, 1091, 775, 9619, 387, 2984, 570, 16, 0, 17716, 274, 595, 21648, 28, 1834, 23595, 1334, 8707, 6100, 330, 609, 67, 286, 443, 423, 609, 33, 188, 8209, 10739, 434, 5696, 6170, 9498, 3432, 625, 1863, 1689, 2065, 14, 254, 2896, 555, 2102, 1663, 3461, 343, 688, 2298, 1312, 8547, 3547, 16, 1547, 1797, 22618, 254, 610, 466, 1556, 323, 16125, 1348, 14164, 29982, 324, 248, 1250, 2858, 14, 532, 1201, 7862, 5579, 286, 380, 401, 6057, 452, 1081, 643, 4446, 265, 16, 188, 44, 16, 44, 16, 47673, 434, 33331, 2181, 2868, 1201, 7862, 5579, 1503, 417, 321, 3720, 286, 13820, 2486, 29, 254, 913, 311, 16837, 1129, 6560, 1828, 1444, 387, 642, 6743, 14, 593, 626, 311, 248, 4688, 353, 807, 321, 42197, 16, 12182, 14, 378, 2409, 652, 2527, 566, 380, 401, 6057, 311, 944, 2692, 2152, 11338, 16, 1286, 368, 1441, 248, 7779, 14, 321, 2056, 282, 5667, 254, 35083, 6612, 2286, 324, 580, 1364, 32717, 282, 254, 2868, 16, 188, 5905, 780, 10567, 274, 595, 21648, 19210, 28, 13644, 10084, 8, 521, 375, 29, 85, 399, 602, 39401, 2253, 258, 2640, 14683, 826, 30242, 6683, 21729, 0, 26, 25, 7, 274, 436, 11399, 457, 85, 576, 18, 24, 1338, 663, 403, 719, 23, 286, 5498, 6715, 387, 1824, 580, 17130, 324, 272, 44420, 3749, 2766, 14, 2352, 282, 272, 3278, 274, 576, 22, 7536, 188, 20, 7, 274, 436, 11399, 457, 85, 607, 20, 19, 1338, 6715, 387, 1824, 580, 17130, 324, 272, 18282, 2766, 14, 2352, 282, 272, 3278, 274, 338, 7536, 188, 18, 7, 274, 436, 11399, 457, 85, 607, 20, 19, 1338, 6715, 387, 1824, 580, 17130, 324, 272, 27464, 14, 2352, 282, 272, 3278, 274, 338, 7536, 188, 6, 22, 20, 369, 254, 3278, 4236, 274, 248, 17130, 432, 436, 11399, 14, 2352, 282, 370, 27, 20, 2124, 21080, 16, 0, 40994, 14332, 8136, 11176, 311, 254, 407, 15, 7312, 274, 4032, 11675, 274, 45426, 12567, 5563, 276, 476, 912, 6073, 16, 380, 12567, 403, 8835, 432, 254, 7924, 2080, 14, 11652, 286, 13857, 16, 15963, 14332, 12567, 3706, 374, 18, 15, 21, 25, 7, 4032, 14, 7100, 328, 254, 3307, 286, 18766, 275, 314, 44856, 43418, 1145, 356, 896, 374, 18, 18, 27, 481, 826, 4032, 311, 3673, 10105, 33709, 14, 4645, 276, 248, 2243, 14797, 16, 496, 688, 2153, 248, 15038, 311, 900, 282, 3054, 4032, 7160, 314, 45, 18066, 252, 1145, 356, 896, 338, 27, 25, 24, 29, 24111, 13167, 1145, 356, 896, 374, 18, 18, 23, 481, 188, 13816, 2418, 45426, 23432, 403, 900, 324, 254, 8773, 274, 36237, 591, 286, 593, 1774, 286, 276 ]

[ 1, 274, 1564, 747, 254, 4852, 34073, 81, 32831, 830, 368, 476, 26021, 347, 510, 19145, 4070, 2740, 4, 580, 274, 254, 944, 5230, 46187, 276, 254, 1499, 14, 380, 3847, 21121, 274, 254, 38161, 274, 15996, 14399, 28036, 6381, 635, 570, 533, 9648, 580, 274, 254, 944, 13562, 20237, 407, 2556, 579, 43991, 14, 3843, 274, 254, 261, 723, 85, 1873, 348, 4852, 13538, 43154, 5202, 15414, 286, 254, 5935, 274, 254, 22974, 276, 367, 3796, 2395, 14, 248, 1619, 830, 2393, 311, 47141, 456, 747, 254, 1464, 16, 188, 35, 1603, 4867, 432, 8707, 9812, 311, 4269, 13594, 254, 8279, 18661, 18060, 10154, 22529, 3532, 276, 27533, 15, 41, 832, 281, 3616, 533, 9648, 1125, 33499, 85, 274, 38140, 286, 254, 2531, 274, 4852, 443, 2399, 14929, 16, 1948, 76, 7631, 282, 254, 34998, 311, 254, 33403, 274, 254, 42462, 274, 4852, 443, 2399, 14929, 248, 9138, 1619, 282, 452, 6050, 15158, 437, 1723, 286, 17635, 327, 254, 641, 8904, 687, 254, 1499, 25934, 282, 254, 23271, 348, 248, 855, 274, 33258, 16, 3683, 274, 254, 41750, 274, 4852, 443, 2399, 14929, 22419, 254, 1294, 274, 254, 32190, 41750, 16, 3063, 417, 2891, 254, 9632, 862, 274, 42722, 28, 380, 12607, 39765, 4814, 892, 2527, 286, 254, 9632, 294, 20268, 9, 49, 5546, 14, 532, 669, 254, 19360, 6677, 1058, 4852, 5629, 2527, 432, 533, 368, 476, 26021, 580, 274, 254, 944, 5230, 37331, 274, 42722, 16, 188, 1368, 476, 457, 86, 3437, 432, 42722, 1269, 39024, 254, 1491, 21841, 16, 380, 21841, 276, 42722, 311, 6722, 343, 1017, 6936, 14, 254, 17150, 311, 2875, 14, 1143, 274, 756, 248, 1603, 12347, 14, 1773, 14, 11939, 286, 15291, 16, 496, 42722, 626, 403, 1125, 1015, 7831, 2045, 274, 21841, 14, 532, 254, 1491, 3417, 521, 312, 9890, 21841, 311, 254, 13209, 379, 5576, 314, 24491, 4467, 14, 5337, 4256, 608, 14392, 286, 39103, 481, 1268, 42722, 2653, 311, 417, 811, 668, 21841, 14, 11416, 665, 10032, 276, 254, 2758, 368, 476, 8840, 18088, 8895, 16637, 282, 3834, 6592, 16637, 16, 839, 650, 5440, 5419, 254, 652, 357, 42523, 343, 37328, 390, 347, 340, 32236, 7166, 34785, 4, 248, 11295, 1143, 343, 11471, 14, 37328, 14, 34099, 286, 1679, 313, 1743, 390, 254, 25035, 26773, 343, 254, 3417, 521, 312, 9890, 22854, 13712, 14, 248, 12028, 1143, 343, 24004, 286, 8895, 432, 254, 2104, 14, 18088, 2292, 324, 2006, 2942, 16, 330, 1491, 36194, 1917, 3, 6435, 368, 476, 8840, 6685, 26578, 85, 274, 42722, 28, 254, 378, 10172, 286, 254, 40543, 5444, 343, 1543, 252, 3864, 81, 274, 23588, 623, 81, 16, 0, 510, 27897, 18204, 34185, 311, 580, 274, 2006, 22595, 87, 3800, 276, 248, 1361, 274, 22595, 87, 3800, 14, 1648, 254, 30712, 34185, 327, 3290, 324, 32047, 265, 286, 19271, 4923, 16, 26863, 11318, 8705, 274, 13705, 71, 1234, 266, 630, 11969, 12581, 254, 12814, 13274, 34185, 353, 3290, 272, 3026, 830, 29470, 314, 13012, 682, 11, 476, 321, 1635, 615, 6995, 276, 248, 3506, 3026, 16, 380, 34185, 17352, 276, 580, 274, 254, 1125, 610, 4077, 44762, 314, 41, 2000, 266, 11, 274, 254, 6631, 268, 447, 4827, 10838, 2413, 3290, 254, 3834, 3026, 324, 4064, 11970, 432, 1444, 254, 1499, 16, 188, 25155, 254, 5230, 4610, 286, 11030, 2705, 254, 47790, 3579, 3290, 272, 45954, 2705, 713, 254, 3358, 1918, 2803, 274, 254, 2104, 343, 248, 5230, 1806, 274, 254, 11001, 651, 70, 432, 30678, 695, 2779, 16, 188, 510, 6631, 268, 447, 4827, 311, 254, 16693, 30452, 2029, 551, 10838, 2413, 13227, 432, 374, 16, 24, 378, 2146, 1090, 314, 39095, 1344, 5487, 8458, 481, 510, 2413, 32656, 432, 18090, 77, 1646, 297, 1021, 5365, 9023, 274, 24099, 19543, 314, 41, 1864, 1187, 11, 282, 32684, 38700, 314, 19269, 4117, 11, 3174, 338, 20, 18, 45, 79, 16, 188, 510, 2413, 27680, 15063, 282, 254, 5976, 343, 16165, 42369, 282, 254, 6248, 314, 484, 18485, 14299, 481, 3602, 21409, 254, 6187, 11001, 651, 70, 23387, 14, 248, 16682, 6611, 9272, 569, 527, 18292, 5346, 324, 254, 597, 18485, 3629, 274, 254, 6631, 268, 447, 4827, 15497, 2413, 16, 0, 6330, 25844, 7973, 1466, 5961, 248, 29334, 274, 2382, 15, 26048, 14, 33595, 16075, 7067, 45065, 1125, 1015, 1907, 2632, 286, 2642, 4719, 16, 6499, 274, 254, 7067, 476, 321, 34427, 2600, 276, 272, 28902, 4610, 343, 10021, 8808, 319, 14, 286, 13102, 254, 872, 324, 624, 16075, 14, 1493, 36529, 343, 2025, 24824, 16, 188, 36, 15007, 5225, 9384, 1091, 657, 591, 390, 6362, 1711, 476, 321, 4694, 758, 1246, 15, 1376, 286, 18001, 12570, 2362, 2878, 1114, 1525, 254, 42922, 10372, 16, 188, 38, 33025, 286, 12334, 527, 12777, 5225, 9384, 1091, 399, 33025, 15087, 1312, 2049, 343, 512, 2983, 274, 23158, 2218, 476, 321, 4694, 758, 18001, 286, 1246, 15, 1376, 12570, 16, 188, 41, 505, 17892, 4048, 1091, 5556, 6835, 16605, 286, 25241, 16605, 476, 321, 4694, 713, 254, 12261, 343, 1246, 15, 1376, 12570, 16, 188, 7278, 263, 454, 2680, 5225, 9384, 1091, 47854, 486, 15087, 1312, 286, 332, 591, 476, 321, 4694, 1525, 254, 31984, 286, 18140, 758, 1246, 15, 1376, 286, 16961, 517, 12570, 16, 188, 46, 2299, 17, 47491, 9897, 6757, 13758, 1091, 27247, 2912, 7208, 390, 1246, 15, 1376, 12570, 14, 6550, 286, 4740, 1907, 32312, 476, 321, 2600, 15353, 16, 188, 6018, 18392, 788, 38300, 249, 3935, 546, 5991, 375, 2390, 281, 1572, 2022, 314, 54, 23949, 11, 1091, 496, 2153, 274, 7077, 6550, 2642, 14, 19409, 476, 3536, 254, 2539, 9789, 274, 2531, 432, 254, 19684, 17214, 282, 254, 2710, 14, 4144, 282, 47786, 26457, 15, 935, 1248, 14, 390, 6340, 1916, 15, 484, 276, 254, 29687, 15, 9159, 3149, 16, 330, 17689, 25026, 476, 321, 4694, 939, 254, 6550, 960, 15087, 1312, 7077, 432, 254, 25562, 788, 1357, 276, 254, 7421, 758, 1246, 15, 1376, 12570, 16, 0, 12412, 3997, 3093, 16, 37856, 1045, 16, 1286, 368, 403, 248, 3442, 274, 772, 13900, 286, 378, 9719, 3801, 2713, 2863, 5495, 368, 2102, 865, 327, 360, 889, 254, 4442, 3184, 20538, 6825, 26740, 10205, 386, 16472, 14, 2713, 2863, 27157, 286, 6025, 27157, 16, 188, 1843 ]

[ 1, 311, 248, 4698, 274, 32775, 286, 39284, 14, 830, 254, 20826, 332, 2201, 900, 282, 321, 16, 1993, 403, 688, 274, 254, 3132, 8952, 343, 688, 13562, 4829, 29641, 16, 496, 519, 1335, 282, 254, 32775, 276, 254, 2104, 14, 626, 403, 2006, 16527, 14, 15224, 266, 286, 8735, 16, 188, 14918, 1249, 11571, 20980, 28, 380, 6338, 1249, 11571, 274, 25356, 311, 272, 798, 12067, 1393, 628, 274, 254, 2803, 274, 254, 2504, 16, 731, 8193, 274, 763, 3904, 43165, 5631, 1895, 314, 32990, 6338, 1249, 11571, 286, 20062, 6338, 1249, 11571, 581, 380, 2141, 3627, 466, 14, 254, 657, 2201, 286, 254, 13562, 22580, 16, 188, 14846, 659, 38571, 28, 330, 5230, 5439, 1444, 533, 626, 403, 1125, 28900, 819, 348, 254, 12812, 14, 254, 9812, 6519, 286, 41317, 5951, 16, 188, 5283, 29309, 3867, 28, 380, 25356, 2341, 29309, 311, 580, 274, 254, 944, 8307, 286, 1668, 23565, 9648, 276, 254, 1499, 16, 3774, 276, 254, 2318, 1090, 274, 695, 4116, 353, 369, 417, 3136, 4489, 14, 2966, 353, 311, 580, 274, 254, 944, 8307, 1415, 285, 14, 343, 687, 374, 18, 18, 15777, 248, 802, 16, 46752, 476, 321, 9461, 3783, 16, 188, 2345, 6119, 1711, 28, 2514, 274, 254, 6081, 286, 944, 1726, 11109, 12058, 276, 254, 1499, 16, 731, 14120, 2124, 642, 2893, 274, 4064, 293, 14, 19823, 25460, 14, 610, 2727, 86, 14, 40251, 286, 354, 9153, 16, 188, 42, 1153, 5951, 28, 40260, 276, 254, 338, 21, 394, 5174, 14, 353, 369, 254, 1683, 274, 254, 6851, 274, 254, 388, 5217, 5951, 33248, 14, 286, 2966, 353, 311, 254, 3449, 12558, 286, 21194, 274, 254, 3792, 274, 21096, 16, 24267, 353, 3357, 348, 248, 15621, 343, 15210, 2815, 282, 22375, 323, 737, 75, 314, 498, 4381, 14, 22106, 1723, 14, 4334, 6055, 404, 14, 3838, 12989, 188, 36269, 29583, 349, 4553, 86, 28, 330, 7213, 282, 25356, 476, 457, 247, 2696, 3316, 5569, 368, 4010, 29583, 349, 4553, 86, 16, 380, 16693, 286, 6081, 2703, 276, 254, 2758, 830, 368, 476, 1074, 3148, 432, 1922, 3462, 282, 11334, 36194, 18552, 16, 380, 1640, 1362, 282, 4010, 29583, 349, 4553, 86, 311, 7608, 14, 670, 626, 311, 248, 1733, 1493, 15, 1078, 2703, 276, 254, 2104, 16, 188, 56, 43324, 3143, 15224, 266, 28, 32516, 276, 25356, 311, 624, 683, 272, 7950, 30583, 16, 16059, 254, 1515, 274, 2963, 830, 942, 5324, 615, 8350, 286, 3437, 14, 353, 434, 2539, 276, 25356, 282, 1741, 324, 2942, 17741, 633, 8350, 16, 1838, 1354, 248, 354, 19661, 904, 314, 69, 1194, 21486, 2527, 11, 286, 248, 14797, 286, 3575, 254, 655, 43324, 3143, 942, 348, 603, 368, 497, 580, 274, 729, 16, 188, 47513, 2697, 276, 25356, 28, 2323, 13191, 301, 1556, 657, 6059, 340, 14, 254, 944, 6092, 6234, 276, 254, 2758, 14, 311, 669, 580, 274, 254, 19502, 286, 1643, 10282, 12352, 9931, 276, 2963, 16, 5066, 276, 2857, 544, 507, 446, 16394, 626, 403, 254, 2758, 434, 763, 2135, 6092, 33503, 9931, 14, 46659, 258, 286, 610, 435, 1198, 657, 6059, 340, 16, 4801, 603, 368, 513, 417, 18074, 282, 8745, 14, 368, 476, 6761, 248, 16649, 8820, 16, 188, 1368, 2468, 563, 282, 25356, 1269, 39024, 323, 1421, 5272, 294, 532, 669, 444, 263, 84, 8991, 314, 67, 11842, 39160, 581, 1495, 6685, 655, 43324, 3143, 11295, 16, 1268, 669, 688, 26578, 85, 747, 4137, 27375, 1320, 438, 294, 14, 9611, 25084, 1320, 438, 294, 390, 688, 642, 14797, 276, 248, 655, 43324, 3143, 39262, 16, 380, 944, 8307, 26578, 14, 2228, 14, 311, 323, 12491, 34144, 71, 14, 248, 13962, 14797, 343, 1035, 693, 303, 24479, 16, 731, 434, 248, 14797, 327, 368, 1996, 8994, 390, 2314, 16, 310, 11380, 2314, 353, 3, 188, 2148, 16832, 323, 1421, 5272, 294, 286, 10227, 28491, 32466, 14, 387, 18111, 394, 664, 3172, 437, 14, 387, 2583, 19749, 34268, 14, 343, 254, 5534, 323, 1421, 5272, 294, 286, 254, 3834, 14014, 21771, 387, 27209, 1923, 1234, 12582, 14, 3233, 603, 254, 8364, 311, 1157, 324, 17741, 633, 2653, 276, 254, 5230, 32677, 14, 276, 2323, 13191, 301, 1556, 1264, 1366, 87, 14, 830, 254, 3236, 15991, 7417, 597, 343, 5732, 36210, 14, 532, 669, 276, 254, 3921, 318, 262, 2253, 12582, 343, 695, 669, 5230, 19064, 16, 188, 34834, 830, 282, 5324, 633, 8350, 14, 40459, 854, 7956, 311, 254, 944, 8307, 39262, 276, 254, 2758, 16, 1286, 368, 4370, 1594, 343, 1637, 23580, 14, 580, 274, 618, 29648, 311, 254, 40459, 854, 323, 41789, 286, 254, 5072, 3642, 24694, 26235, 16, 1286, 368, 961, 282, 751, 1919, 432, 254, 10334, 655, 43324, 3143, 34878, 14, 310, 1754, 254, 655, 2473, 82, 2375, 14, 533, 669, 555, 1247, 33888, 16, 188, 6128, 2849, 286, 1545, 4684, 282, 751, 3542, 276, 254, 2758, 324, 248, 1205, 16, 496, 25356, 14, 512, 28900, 403, 1525, 7618, 4047, 14, 4355, 368, 476, 8117, 254, 2560, 14069, 2758, 3925, 328, 3071, 16, 1268, 1002, 603, 368, 403, 11549, 274, 7618, 14, 254, 2758, 434, 1321, 4472, 311, 580, 274, 695, 1640, 276, 254, 1499, 16, 188, 2432, 403, 1125, 9898, 14, 7100, 328, 254, 2501, 368, 961, 282, 6761, 16, 188, 1212, 11473, 276, 254, 5230, 286, 4829, 10625, 654, 14074, 706, 22713, 932, 14, 2734, 254, 6023, 4516, 16, 188, 1982, 368, 403, 624, 274, 248, 3064, 294, 1479, 14, 411, 4743, 1781, 3124, 18459, 294, 25356, 311, 248, 1062, 1157, 4188, 16, 0, 18389, 4240, 4539, 26940, 6241, 6284, 311, 248, 771, 15646, 2072, 276, 2795, 285, 379, 14, 20937, 16, 188, 18389, 4240, 4539, 26940, 6241, 6284, 10234, 758, 771, 15646, 14, 343, 8398, 10875, 16955, 416, 466, 352, 13157, 9176, 10557, 311, 4301, 276, 338, 19, 18, 719, 394, 13829, 4117, 14, 2795, 285, 379, 14, 3605, 22787, 20937, 607, 26, 23, 21, 23, 16, 1180, 6053, 14, 1305, 14, 2320, 33690, 14, 286, 843, 282, 321, 272, 25686, 14, 254, 1640, 1026, 282, 751, 276, 5028, 311, 939, 3778, 28, 1583, 1162, 1635, 16, 188, 1130, 555, 643, 6324, 1544, 1140, 1718, 14268, 2194, 3184, 28265, 14, 286, 272, 7760, 11466, 274, 370, 18, 282 ]

[ 1, 16, 826, 20585, 286, 29618, 9306, 13979, 520, 3055, 18755, 286, 254, 5192, 282, 6020, 951, 899, 254, 9287, 1205, 345, 311, 328, 3798, 16, 24881, 7183, 282, 7254, 254, 13303, 274, 24727, 3327, 14, 8011, 23063, 16802, 15433, 555, 248, 3616, 327, 11209, 9118, 869, 9022, 67, 286, 10727, 23707, 16, 188, 27088, 4654, 11837, 1625, 2714, 2721, 268, 457, 19062, 324, 254, 801, 671, 14, 7529, 3673, 7858, 343, 14, 769, 23471, 345, 457, 85, 1652, 248, 1247, 12856, 11288, 4186, 13818, 561, 343, 520, 2722, 3732, 282, 18187, 34814, 15777, 328, 1887, 15, 297, 1114, 2362, 254, 20280, 29, 1572, 268, 457, 85, 3364, 1438, 1006, 41596, 34223, 555, 643, 25969, 324, 1181, 274, 520, 2251, 16, 188, 3269, 687, 848, 3812, 1090, 457, 2705, 276, 254, 14209, 4351, 14, 436, 374, 27, 802, 15, 741, 512, 15, 84, 9850, 555, 13665, 1125, 5537, 14110, 1648, 28, 13570, 15258, 1295, 14, 28527, 18459, 14, 13424, 30256, 14, 10436, 274, 15905, 1955, 19267, 286, 1012, 13777, 67, 36193, 14, 282, 1390, 248, 1603, 16, 188, 9077, 2658, 248, 2472, 1530, 2124, 254, 8690, 274, 47091, 9778, 286, 19760, 5317, 14, 13796, 301, 378, 9332, 81, 555, 867, 2900, 1017, 7269, 286, 2675, 2127, 16, 1997, 248, 1062, 2784, 2289, 345, 3591, 248, 9646, 324, 3327, 286, 348, 24070, 282, 321, 272, 14209, 10374, 16, 188, 34486, 301, 311, 254, 815, 15, 18069, 274, 33407, 45119, 18333, 4021, 16, 2936, 20840, 4179, 348, 254, 14875, 274, 33407, 45119, 12093, 775, 248, 6136, 328, 254, 1162, 338, 5390, 4516, 276, 254, 2504, 14, 890, 24, 16, 19, 19571, 276, 374, 18, 18, 18, 16, 5891, 254, 1090, 14, 13796, 301, 286, 33407, 45119, 555, 2411, 580, 274, 254, 944, 7593, 841, 27625, 276, 254, 24727, 286, 963, 38129, 282, 20074, 5060, 417, 8656, 1688, 16, 2936, 512, 7452, 671, 24372, 328, 5390, 403, 12374, 16571, 1162, 338, 276, 3310, 16791, 16, 188, 12254, 3833, 28330, 587, 321, 12467, 343, 14147, 4358, 297, 15991, 34596, 41408, 286, 14890, 383, 1747, 25076, 250, 16, 188, 1516, 311, 254, 801, 802, 670, 3783, 14583, 6053, 403, 2066, 324, 254, 6612, 12616, 8045, 71, 16, 188, 54, 20678, 7702, 403, 370, 20, 23, 833, 741, 286, 370, 21, 18, 387, 254, 7199, 16, 188, 15253, 12782, 282, 5916, 9812, 14, 338, 269, 16, 79, 16, 188, 7357, 254, 9931, 282, 17137, 328, 254, 12607, 378, 2216, 348, 596, 5288, 314, 395, 8760, 11, 615, 1026, 1051, 254, 3843, 14, 7602, 532, 12991, 14, 282, 615, 2379, 4590, 274, 5916, 9812, 16, 380, 36210, 587, 321, 19299, 286, 10408, 1008, 14, 593, 751, 561, 2318, 282, 3575, 1033, 1361, 16, 188, 988, 777, 1444, 276, 5916, 9812, 286, 321, 13376, 407, 1241, 8435, 16, 1395, 2992, 452, 3327, 19715, 368, 563, 3, 32611, 324, 254, 8139, 47, 11062, 9136, 22540, 343, 763, 5060, 21840, 85, 286, 1241, 1922, 21840, 85, 29, 254, 443, 4125, 18408, 286, 3561, 6240, 5555, 657, 1114, 10701, 512, 254, 3546, 26984, 286, 29770, 23707, 3327, 368, 807, 2378, 961, 29, 286, 254, 11194, 22540, 3844, 7195, 19101, 343, 13777, 67, 3327, 4405, 407, 763, 5060, 21840, 85, 286, 1241, 1922, 21840, 85, 16, 188, 17965, 250, 455, 13829, 311, 254, 1619, 282, 321, 324, 29856, 1318, 457, 85, 1640, 1922, 32466, 348, 374, 25, 23943, 3831, 368, 1962, 431, 3359, 16491, 16, 188, 7542, 324, 29856, 1318, 2038, 344, 943, 6313, 387, 254, 41507, 274, 254, 8735, 343, 1247, 2497, 286, 248, 6015, 274, 743, 33813, 14, 5444, 407, 2042, 20973, 14491, 16, 188, 6545, 368, 4558, 324, 32113, 2326, 33, 0, 1130, 369, 272, 2318, 1242, 670, 310, 28393, 282, 36307, 44934, 20363, 14, 19363, 2139, 16, 188, 510, 3998, 18745, 742, 343, 272, 2410, 7591, 16, 380, 29876, 17516, 539, 1538, 348, 254, 3284, 274, 254, 1364, 2537, 1090, 497, 28145, 713, 13936, 2819, 16, 310, 5447, 11949, 282, 254, 2086, 286, 5926, 272, 3070, 24094, 47838, 16, 731, 369, 248, 10986, 282, 8367, 4221, 324, 10986, 14, 1041, 3899, 11967, 286, 11586, 254, 29876, 282, 23788, 615, 13331, 16, 188, 510, 1515, 274, 254, 3998, 369, 7871, 869, 254, 763, 10244, 10781, 5802, 16, 839, 5309, 25441, 5645, 432, 4945, 254, 29876, 573, 1218, 835, 40052, 45398, 328, 378, 1345, 3891, 35451, 1091, 248, 1839, 310, 457, 79, 2367, 328, 324, 248, 2764, 3070, 24094, 47838, 16, 380, 2086, 7127, 7224, 618, 3899, 835, 4131, 615, 1193, 2629, 274, 618, 378, 1345, 3891, 16, 6123, 11824, 497, 1247, 1091, 5532, 286, 3899, 2269, 6715, 254, 43626, 16, 188, 510, 3998, 7735, 343, 248, 1926, 15002, 276, 254, 30695, 6163, 16, 330, 13123, 1026, 282, 3217, 254, 4010, 282, 248, 2722, 16, 188, 7849, 1339, 563, 282, 6645, 4771, 1203, 885, 324, 30209, 479, 282, 36307, 44934, 16, 310, 573, 248, 31912, 671, 286, 310, 3409, 254, 2086, 852, 1480, 16, 0, 510, 9457, 2124, 9756, 286, 1920, 3575, 687, 555, 1263, 713, 10615, 1323, 687, 254, 2391, 5174, 14, 276, 819, 248, 2187, 4502, 286, 7656, 9094, 254, 1499, 687, 16, 939, 254, 374, 18, 394, 5174, 14, 254, 2843, 274, 254, 15657, 286, 254, 2843, 274, 2072, 5697, 4131, 7332, 286, 19195, 23527, 328, 7014, 451, 18138, 16, 826, 9066, 14451, 1514, 248, 3316, 45392, 274, 436, 8652, 16, 188, 686, 695, 6453, 274, 14860, 30743, 276, 12723, 23488, 3379, 3830, 14, 740, 21973, 21412, 274, 15381, 451, 22868, 311, 6845, 274, 6015, 248, 295, 21727, 319, 274, 3136, 248, 1162, 9565, 1508, 276, 254, 33504, 274, 254, 4932, 327, 254, 1920, 272, 4977, 328, 274, 10724, 311, 6397, 1012, 417, 1525, 254, 1116, 274, 695, 9630, 16, 380, 10251, 3395, 403, 4376, 2969, 248, 8560, 274, 1491, 15, 9919, 6490, 14, 276, 1316, 282, 6015, 248, 8943, 274, 14860, 30743, 327, 434, 1026, 624, 276, 15, 16257, 683, 555, 3661, 643, 1225, 276, 254, 6068, 328, 6092, 5697, 16, 1285, 436, 4500, 14, 1735, 311, 16246, 276, 7223, 7787, 282, 10233, 6206, 668, 254, 2472, 274, 28, 7014, 451, 4273, 276, 5514, 26816, 29, 2913, 1975, 286, 47451, 29, 8790, 268, 1296, 286, 8881, 1963, 2672, 29, 7478 ]

[ 1, 18428, 1735, 3291, 188, 5, 30898, 939, 18428, 188, 1507, 883, 276, 2413, 10, 4874, 10, 7403, 76, 65, 3434, 47757, 188, 187, 87, 16, 2711, 65, 1775, 10, 7403, 76, 65, 3434, 61, 75, 3185, 188, 187, 566, 3719, 2012, 31032, 328, 6398, 76, 2384, 70, 9, 2384, 10, 5318, 13, 75, 1210, 534, 187, 1507, 27672, 276, 1453, 16, 7403, 718, 589, 28, 986, 187, 5, 3915, 7670, 2127, 282, 321, 900, 324, 10087, 376, 2697, 10633, 986, 187, 4388, 5196, 426, 32086, 10, 21, 11, 986, 187, 4388, 5196, 20, 426, 32086, 10, 21, 11, 986, 187, 1507, 883, 276, 2413, 10, 21, 2192, 978, 187, 4388, 5196, 61, 75, 63, 426, 1453, 16, 4388, 5196, 61, 75, 63, 978, 187, 4388, 5196, 20, 61, 75, 63, 426, 9836, 61, 75, 31479, 20, 16, 18, 6703, 187, 5, 2193, 40493, 286, 3899, 561, 282, 1819, 254, 1844, 274, 14403, 11020, 6220, 41, 986, 187, 86, 426, 387, 82, 65, 46874, 16, 8984, 4387, 35726, 1067, 986, 187, 5747, 41, 65, 3039, 16, 6171, 2012, 19, 62, 80, 210, 4420, 407, 10129, 22283, 286, 416, 8337, 62, 80, 331, 287, 2384, 19, 18, 16, 22, 72, 287, 2384, 19, 18, 16, 22, 72, 287, 2384, 19, 18, 16, 22, 72, 62, 80, 9, 2384, 10, 86, 61, 18, 1077, 247, 61, 19, 1077, 247, 61, 20, 26874, 246, 1800, 21357, 254, 6220, 41, 12754, 348, 248, 27728, 12754, 14, 331, 1037, 31949, 187, 5, 43776, 432, 6220, 41, 31899, 1735, 37664, 187, 1507, 883, 276, 2413, 10, 256, 82, 65, 256, 2959, 2192, 978, 187, 69, 1832, 426, 387, 82, 65, 46874, 16, 256, 2959, 61, 75, 1534, 983, 978, 187, 7941, 426, 470, 16, 978, 187, 1507, 480, 276, 2413, 10, 21, 2192, 2573, 187, 15855, 426, 470, 16, 2573, 187, 15855, 426, 815, 264, 61, 76, 63, 428, 247, 61, 76, 63, 2573, 187, 7941, 6892, 14310, 12, 15855, 978, 187, 7941, 426, 7870, 10, 7941, 11, 978, 187, 77, 426, 470, 978, 187, 5880, 930, 2170, 930, 65, 35855, 61, 77, 14, 18, 5064, 2573, 187, 77, 6892, 338, 978, 187, 7941, 65, 35855, 61, 77, 14, 19, 63, 6892, 338, 16, 18, 31949, 187, 5, 1201, 524, 282, 3681, 314, 79, 11310, 6220, 41, 274, 254, 387, 82, 11020, 282, 6336, 11, 986, 187, 87, 65, 455, 16, 35197, 1459, 86, 11, 6703, 187, 5, 21672, 665, 30558, 3265, 986, 187, 1507, 883, 276, 2413, 10, 18, 14, 80, 3294, 2959, 14, 21, 2192, 978, 187, 5, 6581, 254, 8384, 274, 12023, 29, 978, 187, 9257, 426, 32086, 10, 21, 11, 978, 187, 9257, 426, 8857, 21, 16, 256, 2959, 61, 75, 1534, 983, 978, 187, 5, 16913, 608, 254, 31897, 4176, 282, 321, 900, 282, 2055, 10633, 888, 713, 254, 743, 3816, 886, 978, 187, 3554, 426, 32086, 10, 21, 11, 978, 187, 5, 9175, 282, 915, 603, 254, 16103, 3095, 282, 321, 14887, 978, 187, 1507, 480, 276, 2413, 10, 21, 2192, 2573, 187, 339, 8384, 61, 76, 63, 653, 428, 4388, 5196, 20, 61, 76, 5064, 2580, 187, 3554, 61, 76, 63, 426, 9836, 61, 76, 63, 2573, 187, 339, 8384, 61, 76, 63, 2170, 9836, 20, 61, 76, 5064, 2580, 187, 3554, 61, 76, 63, 426, 428, 4388, 5196, 61, 76, 63, 978, 187, 5, 16043, 254, 10633, 274, 254, 16103, 960, 254, 31897, 4176, 978, 187, 21402, 21, 16, 256, 2959, 61, 75, 28, 75, 13, 21, 1534, 35197, 10, 3554, 11, 6703, 187, 5, 6581, 254, 21416, 4176, 282, 8272, 1453, 282, 254, 1252, 986, 187, 52, 14, 391, 973, 70, 426, 9133, 65, 6497, 10, 256, 82, 65, 46874, 16, 28275, 8252, 5550, 1252, 18, 11, 986, 187, 5, 38009, 9133, 4176, 282, 10633, 1525, 11020, 65, 46960, 5278, 37664, 187, 87, 65, 455, 16, 43188, 10, 52, 11, 6703, 187, 5, 6581, 254, 743, 6220, 41, 274, 387, 82, 11020, 282, 889, 324, 743, 12754, 5278, 986, 187, 90, 14, 341, 14, 1164, 426, 387, 82, 65, 46874, 16, 8984, 4387, 35726, 1067, 986, 187, 5, 2706, 743, 12754, 5278, 286, 2475, 254, 34434, 1162, 274, 12336, 276, 4714, 11020, 986, 187, 46874, 65, 46960, 426, 1453, 16, 6946, 3294, 2959, 2012, 373, 1554, 309, 3023, 21, 286, 407, 373, 1110, 2384, 85, 2384, 85, 2384, 85, 338, 18, 16, 18, 9, 2384, 10, 90, 14, 341, 14, 1164, 1210, 210, 187, 5, 1997, 298, 5278, 324, 254, 12336, 1525, 338, 18, 2808, 26675, 85, 274, 254, 4714, 11020, 986, 187, 6198, 65, 13670, 426, 8249, 10, 46874, 65, 46960, 16, 256, 2959, 11, 187, 187, 5, 4629, 274, 254, 1162, 274, 309, 3023, 21, 10633, 1525, 254, 4714, 11020, 5278, 986, 187, 80, 2549, 65, 3039, 16, 6171, 2012, 7, 70, 62, 80, 9, 2384, 10, 4874, 10, 46874, 65, 46960, 16, 38940, 945, 10409, 187, 187, 5, 323, 3186, 254, 1162, 274, 309, 3023, 21, 12023, 210, 6703, 187, 5, 17790, 273, 561, 12754, 3778, 324, 254, 7564, 10633, 274, 309, 3023, 21, 12336, 327, 403, 260, 17, 250, 254, 4714, 11020, 986, 187, 1507, 883, 276, 2413, 10, 18, 14, 6198, 65, 13670, 14, 21, 2192, 978, 187, 373, 65, 6198, 16, 6171, 2012, 7, 70, 342, 684, 2384, 10, 46874, 65, 46960, 16, 256, 2959, 61, 75, 1534, 8896, 1210, 5476, 1800, 323, 3186, 254, 12754, 1162, 274, 254, 7564, 12754, 324, 254, 3841, 309, 3023, 21, 16103, 986, 187, 373, 65, 6198, 16, 6171, 2012, 62, 80, 3291, 188, 188, 373, 65, 6198, 16, 10212, 1067, 188, 5747, 41, 65, 3039, 16, 10212, 1067, 188, 80, 2549, 65, 3039, 16, 10212, 1067, 188, 188, 566, 3719, 2012, 33453, 343, 18428, 1735, 4729, 80, 41601, 282, 11779, 254, 3340, 4227, 26013, 80, 27417, 407, 11671, 561, 1508, 274, 4047, 432, 6220, 41, 1735, 2386, 11, 188, 5, 17790, 273, 561, 4047, 2127, 188, 1507, 883, 276, 2413, 10, 4874, 10, 7941, 65, 35855, 47757, 188, 187, 3321, 65, 3039, 16, 6171, 2012, 7, 19, 18, 16, 21, 72, 2384, 70, 62, 80, 9, 2384, 10, 7941, 65, 35855, 61, 75, 14, 18, 1077, 7941, 65 ]

[ 1, 1354, 282, 48140, 282, 436, 5900, 327, 353, 4765, 17403, 14, 286, 327, 254, 2560, 1499, 3144, 282, 2014, 45734, 282, 436, 13555, 8341, 14, 327, 436, 4765, 254, 13555, 8341, 16, 1638, 248, 948, 14, 750, 6967, 86, 14, 750, 16173, 353, 14, 974, 750, 3155, 254, 1294, 274, 436, 2575, 16, 826, 2575, 555, 643, 14040, 407, 2740, 457, 85, 4525, 16, 3805, 1034, 14, 942, 3155, 668, 610, 1473, 268, 5232, 16, 4801, 603, 327, 311, 3542, 14, 324, 2803, 353, 4417, 353, 286, 750, 3155, 668, 353, 14, 750, 7360, 668, 353, 16, 496, 2936, 12353, 14, 4895, 14, 942, 1582, 7002, 775, 1091, 596, 1339, 452, 1815, 327, 750, 457, 85, 1623, 248, 10010, 1318, 14, 390, 1594, 14, 248, 16414, 14, 390, 688, 3563, 274, 248, 17009, 663, 2427, 457, 86, 2033, 16, 188, 1931, 748, 750, 4025, 14, 1033, 3056, 274, 353, 14, 311, 254, 4932, 16, 5932, 248, 1247, 7561, 933, 3051, 276, 388, 1277, 25575, 14, 3038, 14, 311, 819, 248, 25674, 14, 1247, 25674, 16, 5932, 942, 14, 1002, 603, 596, 3510, 390, 417, 14, 596, 3437, 615, 1579, 14, 615, 47135, 4765, 254, 39839, 324, 254, 942, 663, 3051, 626, 28, 254, 39080, 2411, 1015, 14, 633, 23210, 2411, 1015, 1091, 254, 1767, 311, 593, 15662, 29, 311, 282, 321, 2254, 14, 282, 321, 3428, 14, 282, 321, 7002, 16, 1223, 1062, 7786, 942, 756, 476, 321, 5522, 276, 819, 4902, 16, 4539, 2211, 14, 626, 807, 321, 1062, 2978, 942, 669, 14, 663, 4678, 514, 775, 14, 532, 254, 7146, 274, 254, 10542, 43645, 819, 22974, 282, 327, 1619, 663, 403, 7786, 16, 188, 1368, 476, 915, 432, 2936, 24610, 327, 750, 369, 8611, 44853, 16, 750, 3155, 254, 6093, 14, 750, 573, 254, 6093, 16, 750, 9795, 747, 248, 636, 343, 3316, 6093, 16, 750, 573, 641, 5382, 1045, 14, 555, 641, 23834, 16, 750, 811, 749, 14, 2714, 1516, 311, 1438, 282, 4955, 15491, 286, 14, 747, 248, 1247, 26311, 1091, 327, 750, 3155, 327, 580, 555, 282, 3694, 254, 2226, 17943, 14, 580, 555, 282, 3694, 756, 3524, 3133, 16, 380, 14161, 555, 282, 3694, 512, 254, 671, 254, 2563, 16, 1223, 327, 457, 85, 843, 750, 9795, 14, 7360, 14, 4025, 348, 248, 26311, 650, 513, 14, 974, 750, 2956, 254, 3694, 670, 750, 369, 5522, 14, 4150, 1090, 888, 16, 188, 1843, 282, 3086, 14, 750, 457, 85, 1062, 1247, 14, 974, 750, 749, 512, 836, 1789, 29, 750, 5320, 254, 3798, 324, 31517, 22073, 42300, 16, 4772, 750, 4025, 512, 836, 1789, 14, 360, 476, 1309, 327, 436, 369, 512, 749, 16, 4772, 1910, 14551, 403, 819, 14, 5569, 286, 1863, 353, 311, 749, 1063, 14, 596, 403, 417, 1438, 282, 7816, 14, 596, 457, 619, 1602, 14, 2714, 5213, 311, 254, 3681, 324, 748, 368, 403, 3853, 28170, 1395, 452, 282, 1862, 3681, 324, 3148, 14, 368, 915, 1091, 5745, 311, 3427, 14, 2474, 282, 729, 14, 311, 5831, 459, 14, 353, 311, 254, 1364, 3056, 16, 12033, 254, 1926, 311, 3737, 276, 665, 21693, 1581, 14, 2427, 457, 86, 2563, 14, 532, 353, 457, 85, 3737, 2102, 16, 731, 457, 85, 819, 248, 1247, 2115, 750, 457, 85, 2152, 14, 532, 750, 457, 85, 417, 2152, 353, 324, 665, 2080, 6179, 14, 390, 324, 665, 23140, 14, 390, 2626, 327, 311, 2155, 1235, 3359, 14, 532, 750, 457, 85, 2152, 353, 324, 1594, 327, 311, 1062, 22526, 16, 1223, 327, 311, 254, 45272, 274, 1910, 14551, 16, 188, 2686, 311, 615, 1250, 4065, 14, 327, 311, 254, 3520, 274, 254, 14161, 16, 1993, 2906, 2468, 1663, 432, 248, 636, 663, 457, 85, 248, 4924, 1923, 14, 663, 311, 248, 17761, 1061, 7512, 14, 663, 2427, 457, 86, 865, 830, 345, 9320, 14, 663, 457, 85, 13110, 14, 663, 311, 248, 17014, 472, 390, 663, 311, 272, 31644, 14, 3563, 274, 248, 4634, 1068, 390, 248, 10010, 4281, 14, 2468, 3, 1223, 353, 2468, 1663, 432, 272, 22342, 10936, 636, 663, 10831, 417, 980, 274, 2900, 14, 248, 636, 663, 35416, 2489, 14, 663, 11220, 276, 685, 29601, 642, 4203, 286, 1438, 282, 642, 4203, 286, 4697, 729, 14, 286, 563, 282, 1495, 2342, 286, 4697, 729, 14, 417, 432, 819, 942, 16, 731, 3144, 432, 248, 1408, 663, 5887, 254, 1294, 14, 254, 8597, 328, 533, 345, 457, 85, 5522, 14, 254, 12096, 1294, 274, 327, 2575, 14, 417, 254, 2080, 1294, 16, 188, 1843, 750, 311, 593, 15662, 14, 593, 15662, 29, 1033, 3056, 311, 593, 15662, 14, 327, 353, 457, 85, 747, 248, 47495, 14, 353, 457, 85, 747, 248, 47495, 16, 1395, 403, 23663, 23250, 974, 819, 248, 1247, 17009, 369, 5522, 276, 436, 2504, 16, 1223, 14, 19715, 310, 563, 14, 276, 2666, 2868, 274, 28561, 14, 387, 1824, 276, 580, 21403, 310, 1845, 3624, 14683, 16, 188, 1304, 555, 4634, 713, 1247, 2429, 14, 811, 747, 4597, 395, 2569, 67, 14, 1495, 1247, 17009, 276, 5267, 14, 663, 369, 5522, 6582, 274, 1090, 888, 16, 1268, 282, 8738, 327, 436, 2504, 311, 254, 2710, 274, 254, 10056, 14, 286, 1045, 254, 17403, 311, 1438, 282, 321, 14, 12106, 807, 452, 1815, 4150, 1090, 888, 248, 2115, 747, 327, 14, 353, 457, 85, 14724, 2602, 16, 4801, 10215, 1090, 888, 14, 12106, 807, 452, 7002, 353, 14, 1002, 14, 310, 650, 1309, 14, 3460, 1090, 888, 16, 6317, 650, 452, 1815, 436, 636, 311, 1623, 10010, 14, 282, 1052, 436, 348, 254, 13555, 8341, 16, 731, 311, 254, 13555, 8341, 14, 368, 476, 915, 327, 1091, 974, 593, 1125, 942, 452, 1652, 10147, 1296, 276, 436, 2504, 16, 1223, 368, 403, 254, 4254, 663, 5778, 3576, 353, 16, 731, 311, 254, 2710, 16, 21177, 254, 4243, 513, 14, 1826, 977, 390, 3320, 14, 353, 512, 9427, 682, 14, 2101, 596, 1038, 457, 86, 2033, 615, 8075, 14, 974, 596, 1038, 457, 86, 865, 353, 311, 254, 2710, 14, 2710, 274, 254, 10056, 3, 1286, 368, 513, 3320, 14, 512, 977, 28, 254, 2560, 1499, 1042, 327, 1057, 16, 6317, 1141, 14, 327, 2124, 512, 254, 10169, 4203, 14, 368 ]