jgroh31415/c4-code-tokenized-2b-random-within-rows

tokens sequencelengths 1.02k 1.02k
[ 1, 4698, 14540, 0, 1516, 1213, 4767, 7060, 37, 14643, 394, 1703, 561, 15, 321, 286, 6640, 16, 11478, 1618, 26, 387, 33177, 2055, 382, 3258, 9042, 26650, 1004, 1601, 14, 22, 27638, 3, 3388, 3405, 282, 4767, 2674, 380, 18, 2849, 248, 18, 254, 338, 457, 2893, 282, 29034, 18546, 274, 286, 641, 3405, 890, 21910, 38833, 2081, 9737, 411, 20228, 254, 188, 8460, 9942, 254, 286, 374, 10563, 19, 7362, 13728, 10974, 2774, 15, 14, 4109, 288, 16, 4316, 14, 282, 16, 343, 274, 343, 16, 641, 3957, 14, 29221, 633, 2631, 85, 368, 756, 3164, 615, 22, 16, 18, 2630, 671, 14, 16, 3284, 1340, 16, 1952, 390, 248, 1033, 1041, 16843, 14, 3046, 950, 1822, 14540, 286, 254, 276, 12185, 9243, 4853, 607, 457, 7738, 11719, 4552, 3858, 14, 35835, 1544, 274, 1091, 18, 2941, 14, 436, 274, 16, 188, 282, 2104, 3838, 489, 254, 368, 887, 248, 2177, 16922, 5869, 19583, 4960, 14, 1603, 411, 22060, 387, 12399, 4605, 2075, 372, 4087, 14, 20490, 323, 418, 274, 9495, 343, 254, 4580, 286, 19, 14, 1416, 328, 12347, 520, 276, 282, 18, 747, 536, 18, 6086, 286, 328, 368, 668, 4416, 10629, 1289, 9749, 3442, 11581, 14, 354, 4297, 1953, 2187, 1618, 1694, 16843, 2479, 328, 618, 26638, 432, 338, 274, 609, 32223, 282, 2263, 42, 14, 674, 2200, 27, 432, 1361, 188, 441, 7046, 44082, 282, 274, 11336, 432, 2139, 14, 3292, 188, 14452, 946, 321, 12625, 286, 32509, 3834, 721, 1063, 280, 13397, 282, 5962, 1970, 14, 5362, 328, 286, 2440, 597, 15, 9042, 188, 1471, 28175, 593, 3405, 45139, 643, 10411, 2371, 21, 1917, 455, 398, 286, 46962, 16, 4297, 380, 343, 10648, 41352, 16, 4585, 40112, 406, 5998, 2292, 286, 16, 38833, 40357, 274, 16, 16, 17058, 496, 40717, 2631, 403, 4698, 14, 9038, 655, 33177, 709, 282, 14, 496, 721, 43095, 327, 14, 427, 380, 254, 772, 2066, 4028, 71, 2633, 310, 16, 15, 28503, 14, 14, 2114, 32474, 28819, 4959, 4977, 16, 2133, 79, 27638, 46217, 4633, 374, 33028, 1213, 15111, 286, 403, 2436, 9772, 13168, 14, 668, 19671, 34710, 254, 7753, 1265, 390, 5566, 324, 27, 624, 314, 248, 9641, 14, 21, 14, 286, 16, 282, 254, 683, 18, 311, 4150, 254, 254, 2421, 14, 4418, 407, 11581, 254, 7767, 276, 15, 310, 374, 3921, 4959, 3874, 915, 248, 286, 318, 411, 43477, 18, 13686, 24, 254, 1315, 19046, 23660, 14301, 2144, 4654, 368, 188, 1896, 452, 338, 401, 642, 2288, 14, 2672, 343, 338, 8177, 1618, 555, 4633, 328, 2253, 1116, 14, 274, 14, 10611, 12467, 3994, 15, 17271, 411, 338, 10746, 33540, 7789, 9852, 3856, 368, 3, 3758, 7432, 9811, 254, 479, 14, 27, 311, 7137, 14073, 254, 2893, 1588, 497, 7485, 432, 254, 353, 683, 14, 286, 434, 0, 683, 14, 16603, 1806, 3206, 286, 2916, 286, 16523, 358, 22060, 3550, 18, 561, 338, 14, 3371, 4087, 407, 282, 9012, 46187, 25948, 5962, 387, 25035, 16, 16, 1106, 16, 21, 353, 3371, 14053, 452, 8795, 1395, 274, 14, 8352, 14, 10243, 16843, 4684, 250, 4517, 10152, 742, 1422, 19212, 18, 1305, 872, 286, 1665, 595, 16, 34136, 2421, 407, 348, 3998, 1427, 282, 457, 387, 311, 489, 839, 321, 387, 16, 1920, 28, 3615, 16, 706, 10856, 407, 3260, 1305, 4647, 286, 13129, 13168, 958, 781, 282, 4966, 6682, 2177, 2948, 282, 356, 4960, 4590, 254, 7797, 19, 21030, 1963, 587, 31844, 46962, 321, 18, 510, 14, 11666, 1748, 1160, 16, 1318, 16, 20237, 14, 254, 14, 10746, 8799, 2211, 1648, 14, 282, 4727, 668, 18224, 443, 248, 4549, 310, 9729, 596, 1922, 24556, 21121, 4307, 1205, 7760, 709, 16, 0, 3371, 959, 411, 15, 13010, 282, 3, 7457, 3847, 915, 286, 6086, 14, 2479, 387, 33780, 740, 2211, 807, 596, 274, 248, 352, 2499, 71, 412, 4418, 896, 4310, 3371, 14, 624, 274, 343, 4826, 328, 16, 9627, 2093, 4452, 16, 3480, 4250, 3405, 188, 22, 686, 274, 5125, 3847, 1021, 14, 39868, 272, 5998, 10828, 71, 6201, 1242, 16, 4144, 737, 17682, 437, 368, 16, 4654, 21123, 11635, 436, 2057, 282, 24417, 20560, 16, 254, 324, 663, 276, 615, 14, 0, 1361, 32775, 276, 38833, 14, 282, 8739, 274, 47783, 14, 1339, 4552, 27638, 7701, 7869, 282, 11, 29440, 510, 1416, 6629, 1336, 2702, 40513, 2286, 16, 2674, 2706, 2286, 272, 343, 0, 20238, 4767, 3544, 22, 4698, 2865, 24, 27421, 16, 274, 14, 1917, 27, 2421, 254, 2875, 254, 394, 2006, 19057, 14, 254, 7475, 10786, 14, 3148, 282, 4326, 282, 2006, 1336, 276, 1892, 16843, 7754, 642, 1618, 15, 41071, 9042, 22, 410, 374, 407, 15381, 21, 10648, 1582, 14, 587, 26384, 10629, 368, 763, 354, 26, 20560, 44575, 324, 626, 1081, 512, 369, 331, 10786, 14, 282, 3941, 12472, 4626, 272, 3364, 286, 14, 9205, 17649, 188, 14, 719, 695, 12352, 188, 1255, 4186, 10152, 10746, 11249, 14, 15466, 286, 374, 248, 16843, 6928, 1247, 14, 3874, 10611, 502, 6914, 394, 576, 6236, 32829, 1464, 7787, 2508, 374, 13728, 561, 7560, 14, 286, 18767, 10786, 27, 85, 14, 14, 16, 2941, 276, 28175, 432, 18, 587, 23, 254, 282, 406, 533, 282, 276, 2728, 10778, 282, 5330, 23096, 14, 14643, 311, 4078, 1400, 338, 20228, 254, 254, 26820, 286, 367, 2989, 85, 5510, 276, 569, 4028, 380, 15, 286, 512, 16, 12731, 41176, 16, 4149, 772, 327, 43631, 852, 324, 3847, 1480, 642, 5769, 843, 3051, 286, 40608, 11581, 248, 311, 6132, 8138, 16, 3605, 276, 520, 10563, 282, 510, 4552, 286, 9127, 343, 7787, 3997, 2893, 742, 286, 343, 12129, 39820, 21, 520, 345, 13050, 573, 16, 14, 12002, 11490, 3605, 17906, 394, 16, 282, 38, 939, 1845, 4904, 418, 390, 274, 188, 12075, 436, 10436, 321, 1631, 5998, 13799, 291, 348, 328, 14, 9138, 286, 603, 633, 29287, 756, 6204, 14, 11581, 1622, 19, 520, 771, 407, 2350, 1545, 330, 398, 27, 510, 407, 34445, 8918, 915, 8702, 7012, 624, 5678, 11581, 21, 14, 321, 854, 15599, 13269, 14, 1953, 5086, 282, 41176, 9495, 4698, 254, 324, 1867, 26253, 801, 1521, 248, 17090, 286, 1368, 13939, 254, 4552, 16, 1364, 282, 2633, 513, 520, 587, 14, 1062, 1502, 286, 14, 33177, 520, 5909 ]
[ 1, 1800, 42520, 603, 16, 3986, 2513, 1885, 65, 29708, 682, 8037, 647, 926, 16, 332, 65, 543, 28472, 16, 37343, 647, 65, 2165, 7043, 647, 926, 17380, 282, 16, 35156, 1619, 1601, 611, 393, 254, 46014, 440, 647, 19, 3185, 1601, 10, 1601, 11970, 16, 19, 332, 276, 4960, 1885, 470, 2513, 1740, 297, 23, 2165, 332, 2265, 4862, 10, 407, 13446, 1324, 28332, 29708, 16, 11, 376, 39259, 16, 274, 647, 20, 28, 65, 7, 6421, 10, 65, 426, 684, 647, 1003, 1155, 9483, 426, 426, 526, 276, 65, 512, 24512, 426, 9862, 28, 9060, 20, 393, 562, 30875, 35156, 21742, 273, 10, 65, 16, 2265, 8780, 9, 5550, 65, 65, 1601, 65, 3986, 14, 65, 311, 38862, 38354, 3185, 14, 65, 2192, 2513, 611, 647, 647, 743, 66, 1067, 1569, 65, 3713, 300, 4862, 332, 2360, 8249, 3291, 432, 1601, 16, 20, 2621, 1076, 38862, 3986, 1800, 589, 13456, 3239, 11916, 16, 35156, 65, 1807, 65, 15, 743, 1146, 314, 2290, 13640, 77, 18995, 811, 5141, 65, 426, 2360, 43936, 79, 338, 1139, 1067, 10, 1155, 647, 611, 19, 4090, 332, 34903, 34906, 14, 3588, 33096, 254, 297, 6421, 16, 46691, 6732, 3158, 426, 65, 562, 682, 1581, 286, 65, 11, 20409, 19, 10, 3226, 321, 1807, 71, 19, 611, 596, 611, 7043, 254, 273, 9882, 276, 784, 3769, 10852, 6732, 684, 647, 77, 647, 46014, 26, 684, 366, 2290, 38862, 14, 376, 2498, 4937, 274, 276, 20409, 332, 426, 65, 34903, 5310, 6732, 647, 4862, 1262, 31, 460, 867, 1160, 65, 19463, 11970, 297, 65, 65, 254, 1800, 1308, 5564, 4113, 65, 647, 28, 5868, 3782, 10, 638, 426, 309, 2290, 21742, 254, 1324, 887, 1210, 8701, 647, 562, 10, 27820, 589, 38354, 7352, 65, 61, 926, 79, 2192, 47183, 8249, 468, 16, 2621, 797, 46014, 1826, 11970, 13033, 867, 3239, 29708, 16, 638, 16, 273, 282, 1358, 332, 2192, 16, 8866, 615, 611, 324, 1003, 274, 12436, 16, 1155, 1139, 254, 2258, 11970, 324, 1146, 3537, 65, 611, 18995, 276, 1800, 332, 4113, 332, 1057, 29708, 1139, 1827, 327, 1800, 1358, 2621, 77, 512, 14803, 79, 9060, 611, 10, 38354, 16, 16, 647, 1242, 562, 1800, 21742, 3876, 426, 3986, 12436, 2551, 20890, 1807, 13930, 65, 647, 65, 19, 603, 8866, 31, 6421, 3986, 558, 460, 12213, 1952, 276, 1262, 332, 15, 20890, 8866, 21162, 16, 65, 791, 426, 16, 6732, 426, 841, 276, 16, 1466, 2012, 10, 20258, 28, 11, 647, 5868, 13033, 1980, 266, 793, 1195, 10, 1155, 26491, 3434, 85, 626, 274, 1369, 1601, 38862, 6732, 638, 3291, 829, 79, 2384, 11, 647, 756, 11, 1800, 10611, 2280, 353, 21162, 65, 324, 65, 65, 1068, 65, 42520, 274, 276, 5868, 1466, 6099, 11970, 65, 647, 647, 338, 6732, 1581, 276, 1980, 65, 14, 16, 20409, 1601, 2290, 3158, 30672, 1980, 10, 65, 23, 286, 274, 79, 28332, 10, 16, 1601, 31, 3986, 39259, 638, 926, 3537, 28, 2706, 9436, 5141, 19, 2012, 684, 13446, 297, 2513, 1466, 16, 926, 440, 77, 1601, 611, 926, 10, 4259, 65, 21313, 6732, 16, 647, 66, 46014, 1800, 10, 3986, 562, 2557, 65, 603, 1581, 65, 65, 611, 29708, 647, 23865, 9060, 603, 743, 95, 276, 276, 1855, 526, 11916, 3876, 16, 558, 28332, 65, 21742, 1262, 324, 14, 65, 332, 324, 374, 47183, 297, 282, 20202, 426, 1142, 7954, 16, 65, 25806, 403, 5868, 16, 324, 1885, 29264, 1601, 46691, 7954, 16, 4859, 2498, 1139, 2290, 54, 7954, 1980, 1142, 403, 784, 2386, 10, 282, 54, 276, 360, 611, 1146, 1885, 77, 684, 9862, 21723, 70, 11, 1465, 647, 21162, 20580, 10, 562, 647, 647, 1358, 20, 274, 647, 65, 432, 65, 20258, 5313, 16, 426, 46014, 2290, 1358, 2012, 24512, 603, 11601, 956, 45, 440, 276, 11970, 38862, 1139, 14, 756, 1578, 5313, 1952, 452, 2621, 19028, 21723, 3588, 21742, 25308, 332, 6443, 611, 5734, 20580, 2474, 26329, 7043, 1800, 297, 23865, 47859, 2315, 7043, 19, 311, 7043, 332, 2621, 1952, 543, 426, 324, 20580, 29708, 426, 1807, 10, 3291, 5868, 393, 1581, 45, 13446, 31, 6732, 10, 603, 274, 6938, 39259, 11033, 4640, 6732, 9060, 65, 818, 276, 6421, 3986, 476, 332, 19991, 647, 1067, 21742, 85, 647, 11, 3291, 1155, 31232, 3185, 29708, 273, 14, 10, 926, 7321, 684, 826, 286, 9436, 8037, 16, 297, 16, 3588, 65, 763, 79, 46014, 647, 2349, 343, 79, 47183, 254, 926, 16, 426, 426, 1339, 5550, 6472, 6732, 687, 324, 2513, 273, 65, 543, 65, 297, 6341, 297, 19, 6341, 324, 426, 642, 743, 1139, 1003, 28, 66, 45, 47147, 1601, 647, 248, 11, 38354, 829, 647, 751, 14, 4311, 7352, 20, 611, 16, 65, 801, 2280, 41024, 887, 2498, 13657, 16, 6732, 8622, 10, 1800, 33096, 1003, 28, 255, 65, 926, 1139, 274, 417, 374, 332, 10611, 8622, 332, 79, 2165, 285, 20580, 926, 324, 332, 7043, 79, 615, 19, 3434, 11, 16094, 65, 1885, 14177, 21742, 26, 8941, 5310, 11033, 2290, 2012, 6593, 804, 9, 426, 77, 19, 562, 276, 603, 19, 1004, 1885, 2498, 11970, 10, 1195, 7043, 28, 20, 496, 65, 16, 426, 804, 926, 926, 3291, 2498, 1210, 19, 14, 65, 4862, 3588, 10, 647, 19, 18995, 4906, 18, 611, 21162, 611, 682, 13855, 756, 11, 38354, 684, 79, 65, 297, 11970, 14018, 16, 14, 22944, 34903, 248, 26, 35156, 829, 638, 16, 647, 65, 684, 4640, 16909, 3876, 376, 16, 1003, 432, 818, 2224, 1076, 29708, 311, 282, 23, 274, 2362, 10, 647, 7043, 611, 9060, 286, 6341, 791, 615, 3185, 1358, 4862, 9483, 332, 38354, 16, 9436, 562, 6732, 589, 1139, 743, 65, 1067, 18543, 28, 85, 10, 2165, 1003, 65, 7043, 37343, 1155, 372, 9060, 29264, 647, 274, 647, 2551, 417, 1139, 2290, 403, 638, 9060, 254, 2621, 11055, 276, 7548, 2034, 273, 35296, 682, 1980, 15765, 611, 28, 5913, 14, 29708, 615, 3986, 426, 7043, 407, 647, 274, 321, 1980, 2192, 12541, 481, 65, 2102, 353, 28, 9862, 11970, 46014, 248, 16, 1885, 1534, 254, 10, 1581, 65, 6421, 4744, 65, 2513, 611, 20, 21742, 2621, 4937, 28, 1139, 596, 338, 65, 70, 6732, 79, 16, 12767, 338, 826, 35156, 1885, 3986, 2280, 801, 1885, 16, 11, 3537, 603, 273 ]
[ 1, 14, 28845, 2797, 9733, 8112, 14, 3290, 286, 348, 16158, 282, 3736, 11, 324, 3446, 46923, 282, 2057, 3217, 16, 18, 324, 497, 403, 86, 1574, 4994, 1074, 14, 16, 6577, 3227, 16, 22760, 438, 1316, 15, 4343, 4184, 843, 4603, 248, 6053, 785, 624, 380, 942, 6432, 11072, 8925, 16, 276, 555, 14, 2860, 869, 9150, 16, 6750, 67, 254, 276, 963, 9548, 254, 1193, 457, 15, 3514, 4662, 276, 16158, 5189, 443, 633, 310, 16, 642, 8899, 311, 367, 2450, 2214, 23989, 321, 276, 311, 16, 14, 16, 16, 14, 16707, 16, 2672, 867, 286, 561, 1856, 3805, 14, 16, 1963, 7227, 311, 22760, 16, 378, 6179, 1283, 407, 8227, 597, 835, 15500, 8575, 6285, 624, 254, 47, 2705, 248, 16, 274, 6759, 14, 16158, 248, 7086, 843, 75, 11668, 22, 24833, 27449, 16158, 826, 587, 15, 4179, 587, 248, 2028, 1678, 4975, 830, 14, 532, 311, 14, 67, 327, 432, 338, 16707, 3858, 14, 1999, 5779, 2362, 327, 47706, 47, 6743, 578, 848, 7485, 633, 311, 4518, 1213, 374, 25837, 2378, 258, 324, 23342, 5346, 286, 476, 16158, 819, 6285, 310, 11924, 24, 286, 513, 327, 9804, 24833, 14, 3561, 8927, 2696, 254, 16707, 1508, 2123, 254, 254, 22760, 11878, 16, 18, 248, 14, 254, 1390, 282, 331, 2023, 9621, 282, 6216, 16, 13899, 440, 14, 1565, 801, 5913, 1603, 286, 1594, 8372, 45817, 282, 14, 282, 18, 2814, 7, 25324, 369, 314, 348, 1527, 16, 14, 14, 85, 729, 14, 13281, 338, 368, 19, 286, 7056, 2124, 1631, 15, 274, 17258, 276, 16, 21233, 14, 24376, 2672, 486, 8085, 533, 2860, 5370, 282, 47724, 276, 368, 18, 7529, 801, 14, 274, 188, 4405, 3017, 3201, 254, 1901, 18866, 21618, 513, 1091, 2829, 276, 47, 282, 28319, 0, 8304, 188, 10059, 686, 286, 15204, 16, 2175, 5786, 311, 5022, 331, 314, 14, 2485, 2391, 7617, 6699, 47, 8787, 1491, 633, 18, 2365, 14855, 6752, 2692, 2186, 5384, 20, 12140, 314, 317, 3881, 8886, 1432, 11380, 14, 407, 578, 615, 330, 17538, 8085, 4264, 14, 5779, 14, 11, 1186, 47, 348, 1491, 282, 348, 28, 15192, 11711, 3622, 276, 14938, 30172, 29283, 3444, 14, 23283, 8927, 22762, 18106, 2714, 254, 3570, 8085, 3396, 286, 47, 327, 7575, 67, 276, 387, 476, 324, 16707, 311, 248, 1091, 3177, 1041, 12777, 1316, 20617, 1280, 4153, 1999, 2519, 276, 370, 11, 21657, 5419, 380, 5854, 6759, 343, 7626, 452, 1767, 286, 276, 47, 1131, 286, 276, 665, 286, 188, 1285, 869, 24922, 331, 607, 348, 1827, 1860, 25594, 248, 19, 327, 1525, 1036, 254, 274, 14938, 12680, 11750, 1205, 2672, 1309, 6697, 13, 369, 311, 7617, 18863, 282, 286, 4110, 34741, 276, 16, 251, 6007, 8299, 3446, 17923, 16158, 18381, 77, 286, 368, 348, 1024, 311, 343, 286, 9604, 4076, 282, 14, 14, 1247, 272, 15701, 276, 48170, 16468, 5779, 254, 5575, 248, 2251, 436, 8112, 274, 13188, 970, 27880, 274, 3561, 321, 47, 67, 4441, 14369, 47724, 331, 16, 5060, 848, 1544, 8112, 24922, 1845, 8856, 16158, 2154, 331, 2485, 276, 13448, 16707, 687, 324, 1241, 188, 18, 282, 327, 8112, 5189, 286, 282, 37018, 16, 286, 16, 311, 22, 7916, 286, 282, 4351, 398, 248, 254, 10770, 14, 348, 457, 387, 23, 6752, 3805, 382, 13, 67, 6384, 28, 16707, 85, 20220, 11282, 1036, 276, 683, 348, 6319, 6064, 324, 343, 489, 486, 321, 12777, 1603, 3446, 274, 282, 5325, 286, 4602, 254, 5713, 327, 695, 16, 343, 67, 19, 15701, 30072, 338, 1354, 825, 11805, 20446, 21618, 5022, 16, 6320, 403, 338, 569, 4432, 774, 1205, 2041, 368, 1648, 14, 73, 1033, 2703, 1767, 348, 331, 331, 16, 8112, 14, 276, 16, 16726, 2290, 1794, 512, 311, 327, 8216, 407, 248, 276, 3681, 11, 6750, 48178, 282, 12120, 9701, 22590, 38350, 274, 248, 67, 28984, 10337, 248, 1491, 41734, 15701, 4861, 331, 45817, 276, 4928, 2918, 23315, 615, 254, 29, 14, 496, 6285, 16707, 331, 27, 954, 15679, 248, 10147, 2212, 45817, 10501, 633, 17394, 16, 10557, 274, 6700, 1205, 963, 15701, 327, 3551, 16, 375, 801, 6752, 85, 9283, 248, 9526, 14, 5189, 2237, 14, 276, 40, 3888, 1188, 12782, 286, 25113, 11190, 35221, 27135, 254, 286, 16, 1822, 15787, 671, 300, 348, 274, 5043, 42974, 5095, 436, 17044, 3201, 2860, 27874, 272, 18, 4947, 254, 276, 23279, 6435, 274, 17258, 16, 282, 3498, 3066, 6285, 2591, 869, 254, 9621, 286, 16158, 8690, 8301, 15410, 28905, 1842, 282, 1280, 310, 4867, 29311, 282, 8183, 1283, 2218, 0, 14938, 20, 16, 25173, 5022, 10147, 592, 5146, 22590, 7726, 29700, 16, 683, 311, 16707, 48208, 6319, 2672, 374, 27, 282, 1631, 353, 286, 286, 642, 3994, 14, 15701, 7142, 2714, 1004, 327, 286, 368, 24075, 251, 348, 15383, 274, 401, 272, 14, 2472, 248, 6287, 2025, 29700, 29, 12200, 21759, 17, 14, 22589, 835, 274, 378, 6285, 3468, 91, 24833, 555, 248, 628, 15536, 85, 596, 1500, 38522, 24, 348, 20778, 348, 417, 282, 15, 1525, 6215, 695, 25919, 14, 1093, 11805, 274, 1074, 407, 2363, 269, 286, 286, 1631, 6646, 1500, 437, 282, 7626, 67, 6344, 5838, 17058, 16, 624, 47706, 17797, 476, 14, 628, 683, 695, 380, 276, 6906, 21067, 14, 747, 45817, 248, 9902, 6025, 1754, 16, 27310, 779, 532, 248, 1225, 5626, 16, 5787, 4125, 254, 11342, 11304, 13448, 4438, 282, 7227, 265, 13632, 457, 2247, 282, 1260, 695, 13281, 23, 16707, 26779, 5838, 1606, 18451, 11590, 274, 1827, 1999, 4632, 436, 324, 561, 274, 6053, 5060, 282, 8574, 85, 17652, 15, 47, 14654, 282, 11711, 573, 311, 5095, 16, 16158, 8835, 254, 28, 839, 18, 19937, 4466, 1242, 47, 4917, 274, 276, 274, 633, 422, 390, 0, 67, 15, 18, 5708, 11367, 774, 254, 324, 33, 457, 331, 2363, 11176, 4868, 327, 310, 16309, 403, 970, 282, 643, 486, 5022, 7411, 642, 286, 254, 14, 3800, 254, 2006, 16461, 7214, 286, 15701, 8574, 8372, 4333, 34741, 1464, 286, 15397, 1841, 5256, 17258, 2777, 286, 3017, 555, 274, 4845, 254, 18, 276, 286, 1045, 1017, 4214, 4928, 21196, 9889, 5342, 12015, 16, 45817, 254, 669, 276, 1055, 2363, 11115, 14, 343, 4022, 314, 8117, 1074, 16, 254, 7554, 2672, 16158, 7583, 348, 17109, 286, 334, 18007, 22519, 1869 ]
[ 1, 35, 390, 1491, 0, 331, 286, 286, 21, 254, 188, 14, 5261, 1220, 22, 9927, 17, 282, 14, 14, 18241, 5172, 57, 5002, 2234, 5913, 27745, 276, 11081, 1074, 452, 1180, 836, 2471, 19, 274, 14, 44, 10456, 495, 254, 16, 14, 28, 14, 254, 2024, 262, 42081, 26, 417, 26558, 18, 21, 4658, 457, 36, 3831, 1401, 324, 2352, 1851, 14, 36, 14, 14, 5722, 27, 28208, 1180, 2511, 325, 489, 4453, 23, 17554, 476, 5650, 4658, 4236, 248, 71, 18251, 16, 489, 1091, 2080, 4658, 276, 4556, 74, 18, 14, 390, 3239, 28, 10999, 282, 9927, 325, 369, 457, 274, 16, 5574, 1148, 576, 9927, 4892, 510, 248, 6585, 21, 14, 276, 366, 254, 286, 71, 4793, 671, 331, 297, 3792, 76, 188, 11674, 42011, 18, 407, 16, 27, 378, 633, 5541, 14, 18, 14, 10319, 286, 841, 18, 18, 16, 1967, 14, 248, 8712, 587, 36, 43080, 29166, 4658, 533, 954, 14, 274, 254, 10229, 1851, 17, 331, 282, 276, 274, 802, 5105, 603, 29, 68, 328, 21, 286, 4556, 9154, 14, 14486, 27348, 51, 772, 23, 1180, 5837, 16, 3371, 29528, 21524, 14, 576, 254, 248, 18, 331, 9927, 633, 28, 71, 282, 2079, 6452, 772, 274, 311, 324, 6279, 27, 19, 581, 9927, 274, 254, 671, 311, 8364, 802, 2453, 407, 36, 18, 265, 12345, 0, 18251, 17, 328, 273, 9927, 282, 671, 16, 19, 607, 387, 1321, 6452, 24, 71, 14, 36, 254, 4795, 23, 12007, 27340, 380, 25, 1888, 14, 16, 274, 14, 286, 39689, 18251, 23, 2272, 2079, 4061, 2408, 4795, 12846, 434, 2643, 2421, 324, 2086, 17785, 1824, 16, 16, 22, 1588, 345, 14397, 23, 12881, 669, 14, 254, 4926, 1014, 2903, 71, 9927, 5192, 48, 35, 85, 3703, 687, 29, 624, 4236, 4795, 6681, 18, 1844, 9148, 481, 26714, 2069, 1855, 6013, 37698, 43604, 14, 13875, 1395, 27, 14, 21, 23, 19, 2477, 0, 3327, 286, 743, 4971, 18, 629, 17741, 22, 1855, 16, 5566, 18, 14, 743, 16, 5105, 331, 13034, 743, 18, 2079, 633, 254, 14, 21, 311, 42345, 43931, 20197, 1076, 3506, 20957, 4589, 1707, 18251, 2828, 2779, 5461, 5194, 18, 1091, 5495, 311, 2079, 30534, 4236, 28018, 6452, 6545, 3468, 18, 378, 25, 3551, 706, 555, 3005, 14, 276, 282, 254, 276, 4028, 48, 4795, 1923, 30534, 1967, 254, 2893, 23, 327, 1640, 16, 495, 27, 841, 8841, 4204, 27514, 27, 1045, 5742, 5722, 13069, 2960, 1212, 19157, 248, 670, 44, 18, 26, 19157, 9569, 0, 10840, 311, 19, 10223, 286, 264, 51, 254, 2079, 85, 31135, 4795, 324, 8872, 729, 254, 1002, 30534, 323, 1148, 1193, 274, 16788, 27, 14452, 328, 388, 35891, 1460, 390, 368, 248, 36, 436, 403, 14, 16, 633, 24, 642, 248, 8814, 18, 14, 15116, 900, 13906, 16, 41504, 2701, 53, 6452, 403, 14, 254, 9364, 403, 18, 551, 42345, 274, 9927, 6359, 16436, 2204, 4236, 8398, 1767, 14, 615, 5722, 26714, 15346, 28, 276, 14, 37, 20, 14, 286, 665, 4269, 1460, 3239, 311, 369, 282, 11780, 21, 5619, 6409, 48, 1148, 331, 9927, 14, 33874, 884, 24957, 497, 48, 11055, 17358, 276, 432, 770, 19, 7464, 1260, 9927, 6637, 248, 254, 23, 254, 1683, 16, 188, 2024, 6189, 21898, 4002, 0, 254, 254, 633, 36050, 311, 276, 2133, 7094, 21, 1322, 16, 286, 188, 6452, 750, 71, 9905, 254, 4104, 374, 5329, 14, 12728, 4926, 1012, 12895, 642, 19, 3015, 14, 24, 21, 314, 4795, 6186, 16, 254, 9927, 4817, 18, 254, 276, 7701, 4742, 14, 4438, 18251, 1615, 2426, 48056, 5183, 27, 2653, 14, 15, 5715, 338, 20615, 555, 1487, 2782, 12796, 11799, 22, 23164, 273, 6640, 30534, 4552, 21, 374, 25, 14, 48, 254, 274, 324, 32056, 14, 25, 254, 26349, 22, 1963, 2069, 274, 53, 1395, 48, 43604, 15943, 22, 14, 1855, 6141, 14, 555, 1914, 331, 3665, 5628, 42, 16, 4356, 21, 5852, 498, 1927, 23, 1213, 13854, 4795, 3812, 4797, 5715, 4144, 48, 16, 14917, 28046, 13056, 19770, 35891, 7096, 388, 19, 188, 27, 1212, 18251, 18, 285, 432, 84, 54, 2859, 10436, 2514, 668, 374, 3061, 14, 188, 6452, 706, 48, 23, 28, 7738, 14, 35891, 31782, 11313, 273, 16, 7829, 35891, 12605, 695, 23749, 14, 331, 370, 1963, 8872, 21348, 27, 14, 4795, 248, 16, 23832, 14, 325, 324, 16, 378, 11003, 30534, 274, 27, 41504, 9927, 47358, 41846, 16, 3294, 375, 3556, 406, 0, 36749, 328, 16, 16, 436, 254, 23, 5830, 368, 4236, 4683, 338, 407, 27, 3417, 8085, 16, 900, 4442, 353, 26558, 633, 27348, 30534, 3831, 4236, 314, 14, 14334, 188, 4901, 44, 18251, 3487, 274, 254, 1186, 2426, 14612, 188, 1590, 5708, 92, 6452, 4864, 2079, 20, 2512, 41504, 311, 274, 22, 19052, 370, 22, 3442, 29092, 834, 2534, 476, 5183, 555, 10487, 2079, 1544, 3446, 1247, 4580, 286, 5053, 286, 3278, 561, 2636, 353, 15, 33519, 5183, 374, 7785, 2378, 388, 5243, 41504, 1322, 276, 21, 495, 16, 16, 18, 84, 374, 8364, 18139, 1321, 22, 14, 1220, 282, 26, 23962, 369, 16, 276, 12846, 26793, 286, 9927, 23749, 18415, 71, 16, 2790, 470, 23, 28482, 15116, 4658, 4432, 615, 14, 9392, 2371, 20197, 22, 1017, 23, 353, 596, 4795, 282, 2996, 254, 282, 9812, 1090, 273, 8085, 4658, 188, 282, 43931, 10645, 24812, 331, 3792, 457, 22, 22, 24, 18139, 188, 16, 35891, 36, 9725, 36, 22, 28046, 23906, 3312, 85, 27, 374, 254, 843, 826, 27348, 254, 529, 5574, 4549, 390, 5525, 338, 274, 254, 286, 403, 706, 14, 378, 16, 596, 20, 706, 1860, 42, 8782, 36, 296, 23, 254, 12890, 286, 1153, 16, 603, 974, 360, 5183, 22, 18, 16, 16, 6452, 27, 16506, 2234, 4503, 802, 16, 9927, 15, 1491, 4243, 533, 2206, 6207, 1457, 16, 28741, 3233, 1148, 44, 19447, 15116, 71, 33, 29689, 43962, 311, 2237, 85, 743, 42849, 23, 668, 2518, 5628, 9927, 2079, 46462, 254, 26558, 12424, 888, 26, 286, 27, 26, 84, 18, 51, 14, 378, 1416, 30534, 27, 1232, 2782, 16, 626, 16, 6817, 4279, 286, 35, 21, 286, 30534, 16, 20, 14, 16, 30534, 8089, 14, 276, 826, 6755, 758, 20, 21, 263, 338, 24230, 188, 4028, 9927, 254, 282, 20, 188, 2643, 9927, 16, 71 ]
[ 1, 642, 15, 6524, 6690, 3027, 5938, 282, 2591, 526, 254, 513, 2504, 254, 21792, 46315, 282, 343, 7985, 1354, 34540, 317, 7190, 282, 6707, 276, 403, 569, 271, 27358, 274, 704, 2328, 188, 15, 7912, 5054, 3261, 282, 5498, 687, 1619, 872, 555, 15, 345, 22212, 21106, 37221, 9884, 254, 7485, 282, 3686, 1521, 3408, 430, 865, 353, 21479, 14752, 272, 274, 1630, 254, 6418, 15, 3901, 11967, 403, 16, 2893, 943, 2758, 282, 4890, 6083, 85, 249, 403, 7681, 2820, 4954, 265, 1756, 4990, 1038, 7906, 1917, 472, 380, 5205, 274, 311, 14, 495, 1869, 799, 17075, 1238, 327, 92, 33551, 282, 13054, 276, 8556, 6135, 989, 254, 1041, 2135, 17058, 18, 16, 624, 85, 282, 248, 441, 9304, 24991, 353, 286, 11177, 16, 1102, 254, 8352, 324, 17058, 9333, 324, 16142, 6567, 3377, 596, 44982, 24235, 2086, 18427, 1963, 380, 668, 13686, 85, 1738, 14, 8608, 380, 282, 274, 286, 282, 14, 3525, 328, 1733, 2244, 5146, 13249, 561, 836, 6266, 410, 4645, 19596, 22371, 42838, 11023, 272, 2705, 414, 6915, 14, 286, 731, 769, 48168, 701, 4818, 21647, 248, 15803, 1153, 39784, 14586, 1089, 12848, 3686, 17188, 5703, 4782, 5495, 688, 961, 1603, 3015, 495, 26343, 5661, 7278, 3265, 5415, 1017, 5690, 286, 743, 15, 282, 43956, 14, 85, 22624, 2628, 2009, 348, 85, 274, 669, 1841, 85, 67, 25674, 580, 328, 274, 14, 14597, 40314, 14, 1022, 37572, 4589, 841, 254, 5511, 9844, 16, 286, 3182, 7077, 286, 743, 286, 23315, 510, 3487, 12096, 14, 272, 14, 314, 3797, 8247, 6707, 14, 16527, 462, 1916, 274, 5267, 380, 457, 16, 14, 345, 4360, 19076, 254, 5205, 42838, 37676, 17067, 555, 772, 16466, 3280, 1074, 16, 327, 27161, 286, 314, 274, 14, 2244, 2958, 16, 2667, 452, 0, 1033, 2133, 2127, 802, 11812, 6106, 248, 327, 16, 254, 324, 9304, 14, 1143, 343, 282, 1673, 286, 2218, 555, 38418, 286, 6191, 27145, 274, 274, 37570, 1219, 11, 14, 254, 248, 282, 3015, 587, 324, 3265, 274, 295, 4727, 15, 269, 5920, 7593, 2023, 16466, 2982, 3887, 3437, 4317, 670, 2225, 14, 248, 14, 568, 248, 14, 2244, 4438, 14, 1526, 2443, 16, 357, 24388, 942, 12352, 25082, 407, 16, 330, 338, 9898, 3206, 8995, 4136, 358, 9304, 2860, 9029, 355, 286, 520, 14752, 11, 2860, 5495, 311, 14752, 14, 14, 22488, 3686, 3867, 759, 603, 16, 1683, 188, 8117, 249, 8304, 4107, 14696, 13275, 274, 8841, 48168, 2672, 6191, 345, 274, 24, 668, 2147, 16090, 16, 457, 7827, 12352, 769, 330, 3672, 615, 2488, 10228, 349, 1767, 3051, 1648, 2871, 254, 19491, 14, 16, 4126, 6226, 11752, 254, 695, 2028, 27, 8927, 1038, 14235, 14, 273, 1442, 38426, 16, 1853, 15002, 248, 324, 3134, 286, 11, 5139, 17103, 314, 248, 434, 254, 18323, 17883, 3867, 314, 14, 11, 9029, 2675, 3989, 19, 1756, 22624, 18, 1521, 311, 276, 34191, 188, 457, 4041, 16781, 1193, 295, 5802, 695, 3095, 5480, 636, 6601, 274, 282, 14, 668, 18, 319, 6919, 273, 663, 23387, 779, 276, 47217, 9381, 23839, 1051, 456, 328, 44014, 6215, 747, 568, 748, 772, 25876, 282, 311, 9306, 29, 286, 15838, 248, 19078, 407, 666, 1129, 14, 20045, 2218, 16, 11901, 286, 1354, 12096, 15188, 4196, 2024, 20, 314, 407, 14, 15487, 2502, 2572, 9304, 188, 769, 1157, 314, 1181, 11357, 24719, 4, 16726, 16, 14, 254, 286, 282, 254, 2758, 248, 6315, 3532, 6644, 2410, 3686, 3551, 14752, 457, 6646, 254, 286, 345, 1469, 9197, 8998, 21815, 14, 254, 9975, 1004, 286, 5100, 407, 15, 24149, 86, 87, 2244, 2225, 14, 457, 28302, 10435, 274, 403, 254, 17103, 286, 757, 18527, 1482, 1852, 2936, 37768, 37570, 254, 7623, 276, 2104, 338, 2572, 16, 434, 1569, 44, 26577, 286, 673, 20087, 327, 33551, 16, 73, 906, 2974, 19157, 457, 8087, 596, 311, 11001, 282, 476, 3157, 12927, 10263, 5205, 248, 16160, 4321, 5498, 274, 8115, 520, 747, 4389, 14, 2572, 11103, 1895, 14, 1593, 309, 10022, 353, 5798, 1116, 643, 403, 8943, 345, 3446, 14, 2349, 615, 2424, 286, 12321, 9898, 3591, 2820, 403, 23696, 19491, 32071, 7276, 530, 452, 3656, 1350, 748, 254, 19491, 769, 8346, 330, 28, 327, 2549, 368, 343, 434, 32804, 11570, 19454, 14, 327, 11, 274, 2041, 276, 403, 16, 16, 14, 390, 729, 286, 4652, 1738, 254, 286, 14, 4347, 321, 16, 374, 432, 1743, 274, 1733, 16, 2712, 615, 16, 346, 18, 1297, 4282, 16, 1464, 282, 944, 2411, 286, 398, 10888, 10968, 830, 961, 666, 750, 188, 16, 16, 7913, 944, 254, 16, 14335, 14, 683, 14666, 286, 2370, 20, 18, 286, 11927, 666, 8952, 274, 449, 666, 46315, 867, 576, 5146, 3135, 330, 343, 272, 14, 4570, 1191, 24991, 771, 3021, 14, 435, 4025, 22794, 21792, 5293, 374, 3510, 3280, 14, 945, 274, 26119, 457, 254, 18, 16, 18371, 16, 188, 615, 16, 14, 343, 1125, 561, 836, 16, 21727, 16919, 28003, 286, 343, 15, 4525, 35, 9304, 10435, 286, 286, 1564, 2244, 20486, 15838, 956, 286, 16, 1017, 17806, 44802, 188, 1997, 3690, 327, 272, 390, 769, 20348, 19575, 4270, 1096, 1028, 286, 254, 561, 6667, 390, 14, 274, 14, 3084, 282, 17321, 27477, 3420, 1708, 283, 587, 22809, 15128, 1201, 42664, 348, 1521, 679, 248, 1683, 1130, 555, 1241, 4282, 16, 9282, 769, 276, 48140, 17, 798, 8969, 306, 13091, 286, 9884, 42101, 16, 10289, 248, 248, 9256, 345, 448, 785, 2706, 328, 3260, 555, 4566, 26873, 281, 74, 3437, 76, 3931, 37940, 2157, 16, 274, 974, 324, 2049, 3108, 7623, 561, 272, 457, 254, 36035, 286, 4310, 1193, 836, 25013, 16, 6667, 282, 8352, 2861, 8166, 343, 274, 41784, 16, 1223, 961, 1205, 3277, 7330, 6015, 34477, 2028, 13432, 16947, 945, 510, 34113, 8061, 343, 11538, 34191, 43485, 10435, 282, 274, 5044, 23564, 22, 16, 11291, 17701, 188, 273, 14, 14752, 286, 374, 570, 14486, 417, 5598, 14, 276, 2133, 441, 636, 3928, 1799, 17040, 1354, 18160, 11, 21792, 633, 15372, 254, 3260, 16221, 380, 1303, 22426, 5498, 2660, 8168, 4569, 2497, 2225, 25138, 22443, 3277, 5920, 713, 6499, 324, 440, 19363, 368, 286, 29334, 324, 668, 276, 15, 3364, 763, 2767, 36035, 7278, 625, 33551, 272, 18, 597, 8244, 963, 276, 872, 1390, 2225, 713, 5708 ]
[ 1, 8920, 16, 16, 276, 16, 254, 747, 254, 276, 380, 18678, 276, 1408, 772, 9001, 286, 2824, 43, 1726, 387, 282, 1635, 1354, 434, 2889, 1652, 1130, 3936, 254, 9630, 436, 276, 16, 2950, 7308, 328, 4254, 2156, 10334, 593, 254, 14, 624, 1438, 624, 188, 282, 403, 248, 15155, 368, 2875, 633, 417, 324, 46123, 6324, 286, 933, 248, 2342, 328, 2692, 16, 348, 11243, 273, 14, 670, 34651, 4356, 2706, 687, 403, 0, 2103, 248, 1903, 1181, 327, 745, 2379, 254, 1438, 3541, 2961, 67, 2893, 1982, 24358, 16, 642, 286, 248, 618, 532, 476, 669, 188, 959, 387, 7308, 626, 3983, 248, 1460, 6982, 282, 1830, 360, 16, 16, 4139, 390, 4525, 573, 888, 14, 8950, 1294, 328, 369, 286, 25, 605, 248, 1838, 5353, 561, 12506, 188, 5333, 2819, 16, 286, 13608, 254, 7460, 13755, 13819, 254, 382, 2110, 16, 46647, 254, 476, 282, 1149, 7308, 20, 4128, 1438, 282, 188, 16, 729, 2006, 6776, 596, 14, 272, 496, 7221, 8195, 479, 748, 625, 751, 1663, 188, 188, 22029, 18, 3198, 310, 1594, 3056, 3418, 282, 1906, 328, 14, 282, 1336, 2889, 254, 587, 665, 747, 353, 16, 11513, 4244, 7543, 282, 3915, 2367, 532, 13583, 12912, 327, 311, 23, 403, 22745, 2819, 324, 625, 2350, 276, 254, 1577, 2732, 479, 254, 1063, 624, 2003, 282, 3238, 31654, 18, 1041, 324, 2194, 282, 16, 16, 587, 888, 1382, 729, 4434, 476, 18, 10690, 254, 387, 1330, 2802, 254, 512, 1294, 2780, 731, 16, 19, 839, 0, 2350, 369, 555, 282, 324, 254, 282, 432, 1062, 7984, 273, 6029, 1141, 1438, 16, 4892, 254, 85, 274, 1012, 2169, 683, 369, 663, 6936, 1689, 286, 4875, 18, 665, 254, 23331, 668, 31654, 663, 417, 3236, 276, 2367, 2055, 308, 310, 7793, 2835, 1110, 835, 899, 520, 14, 5348, 16, 497, 1130, 3061, 14654, 2144, 16, 4817, 432, 14, 11243, 276, 650, 7093, 17259, 650, 889, 310, 41431, 1294, 282, 282, 811, 310, 18265, 387, 274, 1503, 1336, 248, 625, 624, 2014, 360, 18, 9024, 254, 1683, 1193, 31654, 16955, 2292, 4285, 16, 811, 1841, 785, 3732, 650, 668, 4244, 2028, 695, 369, 2874, 14, 16576, 3979, 6503, 360, 2072, 1129, 624, 441, 2008, 3901, 6121, 328, 1919, 1250, 434, 2575, 22, 310, 24451, 3083, 18, 282, 282, 4503, 34409, 17151, 772, 369, 254, 6503, 16, 10031, 27788, 254, 286, 254, 254, 387, 5478, 434, 14, 3432, 5246, 457, 373, 31654, 2780, 248, 785, 1142, 282, 16440, 16, 5213, 618, 650, 624, 417, 20696, 16, 1824, 21152, 248, 248, 14, 39072, 5833, 272, 16, 7919, 3936, 188, 1919, 7078, 15, 8418, 10803, 748, 33, 390, 16955, 6503, 310, 398, 27, 2350, 520, 21, 282, 32280, 785, 1052, 6503, 6932, 369, 276, 254, 310, 353, 254, 497, 4112, 360, 4688, 826, 4315, 254, 1330, 286, 46123, 7308, 15, 4244, 16, 254, 603, 188, 1464, 626, 390, 2196, 8266, 772, 3901, 14, 1074, 311, 533, 286, 5414, 380, 593, 605, 1260, 14, 16, 31654, 282, 593, 7308, 751, 330, 9654, 16, 1872, 345, 452, 20504, 9903, 14, 15669, 254, 18, 43, 254, 819, 1385, 254, 6503, 4590, 254, 1851, 2133, 2117, 254, 1268, 311, 3428, 2802, 1853, 188, 374, 785, 7644, 2520, 327, 1938, 497, 2430, 23380, 1794, 380, 434, 31654, 14974, 532, 1125, 286, 9121, 742, 22, 25, 27475, 3014, 254, 1330, 848, 18, 254, 7830, 254, 188, 561, 16, 1815, 663, 3248, 35, 434, 2950, 5574, 13905, 417, 872, 432, 731, 748, 369, 321, 16, 31654, 4190, 16955, 254, 12809, 532, 775, 8679, 12912, 46123, 2072, 188, 188, 1623, 3223, 19203, 1129, 14, 254, 254, 3074, 5114, 913, 16, 353, 254, 4434, 563, 14, 14, 7308, 369, 6503, 321, 16, 7308, 25538, 18876, 327, 311, 254, 581, 254, 282, 254, 270, 369, 327, 324, 35877, 7258, 286, 4634, 3074, 14, 274, 775, 38266, 1354, 286, 775, 282, 282, 1062, 4850, 390, 6268, 324, 310, 2292, 687, 4244, 4863, 29458, 14, 4525, 14, 452, 5210, 476, 520, 3759, 889, 7096, 3328, 16, 441, 977, 2306, 479, 432, 248, 254, 22616, 23, 33, 3979, 763, 286, 434, 27, 8356, 18914, 497, 4465, 434, 1982, 248, 328, 3983, 254, 7150, 286, 254, 254, 254, 254, 4139, 6503, 41174, 581, 618, 43, 1286, 2006, 20696, 327, 26, 13291, 348, 353, 282, 16, 4244, 247, 314, 282, 1862, 188, 452, 14, 276, 46123, 5246, 0, 2393, 328, 423, 38997, 4448, 16, 327, 1663, 687, 254, 641, 16, 12912, 436, 12809, 16, 1547, 9747, 3826, 1125, 6418, 2484, 276, 2292, 282, 671, 286, 5333, 14, 254, 18914, 6776, 254, 1157, 4457, 1247, 625, 2006, 21189, 274, 17675, 888, 310, 1294, 742, 532, 314, 2448, 21, 1242, 763, 272, 248, 369, 593, 3198, 8123, 2365, 2306, 451, 643, 650, 254, 642, 327, 1205, 31654, 16, 46123, 3061, 2992, 254, 31654, 16, 742, 1499, 4434, 254, 18, 1564, 811, 348, 4607, 43, 254, 1143, 476, 1542, 7308, 282, 4801, 3936, 254, 1450, 286, 254, 7528, 1856, 2263, 324, 2350, 573, 390, 18, 345, 32681, 9123, 254, 274, 13819, 286, 747, 434, 3418, 4341, 248, 282, 282, 14, 23, 248, 310, 1781, 21, 1460, 1899, 254, 432, 6503, 1268, 1012, 888, 14, 6972, 20687, 670, 16, 360, 532, 441, 18599, 4434, 1450, 16, 31654, 321, 31654, 1856, 324, 2028, 21, 7078, 1865, 310, 254, 16, 520, 16, 963, 324, 16, 1444, 248, 20955, 16, 2432, 1269, 390, 5742, 8389, 387, 390, 811, 7290, 248, 5311, 282, 650, 17453, 11911, 5113, 1181, 2115, 807, 310, 2072, 1628, 1309, 16, 348, 10780, 1788, 7914, 254, 2709, 254, 513, 327, 888, 513, 807, 811, 19, 286, 5396, 7308, 23, 626, 3038, 9001, 369, 869, 282, 1130, 2286, 16, 2292, 751, 20, 4335, 16, 14, 14, 7308, 16, 687, 1495, 3520, 327, 282, 624, 765, 14, 369, 2367, 343, 1336, 6054, 254, 2075, 1495, 20504, 310, 1996, 641, 14, 20, 353, 593, 3256, 264, 282, 310, 12180, 14, 254, 7096, 2292, 6503, 254, 747, 747, 328, 360, 311, 20815, 1336, 1149, 974, 282, 368, 963, 343, 520, 836, 353, 8223, 4686, 944, 278, 254, 282, 24, 14, 695, 92, 3575, 497, 188, 750, 274, 327, 286, 3470, 25955, 16, 254, 286, 8101, 1042, 2484, 597 ]
[ 1, 41924, 2646, 7124, 353, 27, 625, 20, 11805, 26343, 14, 254, 688, 39143, 1318, 282, 3736, 1328, 643, 254, 295, 17299, 14, 5615, 16044, 36539, 1011, 802, 1339, 6240, 839, 436, 2217, 21, 347, 2362, 43552, 276, 665, 4832, 5066, 2121, 7077, 18127, 804, 3845, 338, 10359, 11771, 6750, 8465, 1610, 5053, 16, 1141, 1525, 16, 16, 740, 20632, 16, 14, 280, 286, 21767, 449, 286, 15, 345, 859, 14, 188, 2101, 17, 749, 368, 248, 665, 9494, 633, 254, 374, 254, 11322, 374, 9658, 5041, 4750, 749, 297, 447, 1826, 282, 1034, 16, 282, 272, 311, 4813, 785, 5521, 18127, 31774, 1057, 23497, 532, 327, 348, 6010, 962, 731, 13585, 476, 3933, 476, 763, 274, 1582, 11771, 407, 452, 254, 14, 912, 5330, 20, 338, 618, 14, 18, 28, 286, 2013, 26749, 16, 8670, 19, 248, 3159, 944, 327, 348, 41407, 26, 476, 327, 1334, 11947, 14, 2141, 13457, 311, 668, 16, 16, 11100, 1063, 5445, 327, 374, 3922, 3684, 9342, 276, 286, 3407, 347, 16, 2537, 48072, 1444, 16, 2109, 343, 9494, 2628, 942, 11100, 1525, 1525, 310, 286, 43552, 374, 324, 587, 11, 1842, 5838, 324, 10724, 248, 14, 615, 2009, 10, 310, 348, 254, 276, 2653, 310, 14, 369, 16, 390, 16, 276, 1514, 254, 188, 26891, 11805, 188, 2367, 294, 286, 3177, 3282, 11, 512, 263, 417, 1348, 1707, 436, 321, 0, 282, 32413, 4, 8112, 19020, 727, 802, 1525, 447, 12768, 282, 1114, 347, 254, 276, 944, 9017, 2731, 314, 369, 4028, 26749, 3093, 42523, 274, 4502, 14, 314, 254, 5445, 188, 596, 14, 324, 28657, 3157, 14, 1068, 258, 4373, 3673, 1851, 347, 254, 324, 24465, 29425, 2660, 15, 4, 16, 43, 20, 387, 327, 18, 3954, 386, 2255, 14, 417, 3335, 274, 13457, 32509, 36060, 248, 476, 254, 452, 2114, 29781, 3462, 43, 520, 657, 272, 16, 324, 1130, 248, 254, 1336, 912, 369, 314, 14, 0, 3308, 476, 4611, 2696, 31127, 310, 8069, 286, 3093, 274, 1268, 81, 20324, 10711, 16, 4513, 1470, 17307, 5405, 4002, 772, 310, 314, 14, 4611, 26, 347, 6422, 8325, 14, 286, 286, 580, 11805, 39627, 587, 15, 11, 17, 14, 11, 254, 18770, 1364, 254, 86, 188, 251, 311, 20, 311, 1309, 10071, 3177, 282, 282, 3239, 3093, 1263, 1817, 2263, 5805, 403, 944, 311, 4360, 900, 452, 311, 16, 43552, 555, 4848, 81, 24233, 3407, 34592, 2666, 20, 272, 347, 4010, 1997, 188, 4221, 10, 311, 1873, 16, 282, 447, 2028, 14, 3248, 2728, 282, 39627, 30701, 520, 14066, 1348, 529, 11805, 4687, 11404, 276, 254, 7161, 417, 407, 188, 652, 348, 12007, 748, 5713, 14, 310, 9929, 286, 286, 642, 4117, 434, 4013, 44084, 311, 2360, 1625, 14, 254, 417, 14, 4659, 1250, 3489, 23, 3852, 26, 27206, 248, 476, 3517, 32509, 727, 0, 314, 3093, 20, 4585, 573, 7551, 254, 248, 407, 310, 1928, 1988, 407, 18, 274, 3525, 16159, 1619, 248, 20, 11100, 254, 188, 750, 286, 3407, 311, 14, 17, 3148, 432, 8725, 14, 15272, 11565, 11805, 11805, 3006, 7274, 31671, 276, 282, 286, 9582, 44312, 3732, 407, 479, 282, 2624, 513, 8598, 5053, 390, 53, 1847, 345, 3502, 16, 380, 17036, 328, 1663, 338, 671, 958, 4, 16, 8386, 11565, 650, 10292, 311, 452, 772, 188, 14, 2016, 248, 512, 16, 328, 20, 7639, 43, 44187, 28656, 1063, 573, 357, 327, 4423, 22, 43552, 4452, 387, 836, 2485, 7465, 15, 10, 2006, 14, 1837, 633, 6185, 3248, 14, 282, 327, 14, 23968, 274, 39627, 188, 520, 625, 311, 248, 272, 9057, 254, 3183, 14, 324, 1464, 247, 3840, 1350, 327, 274, 28315, 81, 3407, 311, 3462, 1625, 21868, 3683, 4270, 2016, 2601, 28, 11947, 2255, 4, 3713, 1153, 1755, 2622, 3758, 1232, 496, 900, 311, 960, 650, 14, 8619, 274, 274, 274, 452, 274, 434, 386, 327, 311, 347, 286, 311, 4, 254, 16, 16, 835, 274, 434, 2135, 254, 1707, 1318, 20049, 11, 254, 4205, 2436, 670, 633, 382, 417, 343, 4, 254, 1691, 324, 9071, 282, 286, 11990, 2963, 7274, 1143, 368, 380, 3520, 8340, 669, 1045, 274, 14066, 23968, 22, 580, 19, 6343, 248, 12936, 1827, 1041, 2286, 286, 5861, 254, 16, 254, 11338, 22, 4285, 272, 1318, 1336, 347, 476, 23431, 14546, 5042, 43618, 9317, 1949, 1427, 16, 314, 532, 254, 801, 14, 16, 436, 407, 1649, 872, 26618, 14, 27, 274, 1090, 343, 254, 4959, 32509, 44925, 16, 276, 282, 368, 353, 20484, 476, 43552, 3157, 248, 436, 16, 3093, 19988, 25318, 6636, 1585, 4349, 3157, 15372, 264, 532, 321, 740, 5243, 327, 188, 37130, 25751, 510, 35, 7561, 27811, 2142, 4615, 1625, 14281, 481, 933, 10781, 311, 4585, 16, 248, 14, 1454, 25751, 6140, 2056, 9806, 807, 593, 729, 18, 286, 1090, 14, 16, 1364, 343, 7869, 2114, 188, 476, 14, 274, 274, 8459, 4349, 701, 4013, 580, 310, 249, 1141, 14, 491, 274, 650, 16, 4184, 4466, 15845, 26618, 20538, 665, 347, 729, 407, 434, 520, 403, 6140, 491, 16, 801, 4744, 1026, 16, 254, 395, 248, 188, 3407, 1527, 512, 7889, 1316, 22, 274, 254, 1045, 43, 276, 16, 19, 16, 14, 3605, 4653, 28, 11115, 587, 276, 32274, 254, 27325, 33656, 328, 4203, 633, 997, 434, 274, 14, 248, 4709, 7561, 16, 276, 9988, 432, 24909, 338, 254, 188, 276, 248, 22, 1041, 1842, 1130, 18, 683, 25751, 1640, 4313, 276, 3148, 282, 16, 593, 1110, 6568, 7274, 327, 12219, 618, 841, 2893, 665, 1076, 4, 21611, 274, 33, 248, 432, 14, 16, 14, 11118, 7406, 2211, 1026, 12768, 36902, 374, 282, 3333, 597, 819, 343, 17200, 327, 347, 21646, 3606, 7274, 28, 19, 43552, 520, 841, 13868, 254, 41120, 4811, 16, 13847, 481, 3798, 1034, 282, 343, 286, 476, 18, 33372, 19934, 2298, 14, 740, 0, 5805, 1153, 14, 27494, 248, 417, 3291, 39627, 282, 254, 3177, 254, 16, 2819, 1157, 274, 2531, 314, 1296, 16, 282, 254, 327, 6750, 343, 2666, 16, 2237, 328, 347, 1982, 1922, 11, 15, 1062, 14, 36060, 276, 280, 14, 2211, 254, 1703, 1610, 16, 12668, 310, 328, 1364, 254, 1181, 328, 16, 481, 286, 11947, 32509, 2371, 4774, 14674, 3615, 6975, 14066, 701, 16, 254, 254, 21, 16, 375, 16, 254, 27, 321, 616, 282 ]
[ 1, 331, 2104, 12217, 527, 15013, 28482, 17, 931, 15108, 15392, 331, 6528, 19017, 27, 40780, 28, 2317, 555, 286, 286, 85, 188, 286, 665, 3532, 264, 41544, 2976, 2714, 16, 14, 5740, 286, 4603, 18094, 2374, 509, 286, 1430, 390, 188, 14, 254, 9991, 580, 4481, 254, 14, 27095, 8386, 7462, 276, 4848, 29330, 286, 5687, 286, 7180, 1779, 14, 2231, 10968, 8112, 939, 276, 6000, 188, 188, 819, 188, 48161, 29479, 10192, 2634, 282, 274, 21858, 3316, 510, 5495, 11879, 254, 321, 5098, 624, 24, 7413, 248, 15012, 587, 14, 2449, 286, 16, 254, 14, 11276, 671, 10, 7559, 11387, 12587, 2367, 407, 14, 7724, 286, 1460, 276, 11780, 254, 387, 15410, 282, 16, 338, 2057, 613, 785, 188, 3672, 9595, 4475, 15786, 248, 46638, 2059, 343, 14, 6583, 1830, 324, 10808, 286, 274, 286, 6813, 14, 16, 282, 15, 14, 1205, 6981, 669, 4481, 286, 2992, 6326, 286, 282, 561, 18, 311, 19974, 348, 473, 254, 1991, 12603, 3532, 587, 282, 274, 1083, 254, 254, 13725, 254, 1090, 4980, 898, 2365, 15548, 23527, 14, 2671, 16, 1065, 254, 380, 613, 12989, 2231, 1793, 309, 282, 2218, 282, 2200, 9865, 14036, 1133, 2159, 28482, 26134, 774, 37241, 10864, 14621, 5023, 830, 2976, 1830, 417, 3587, 274, 348, 7843, 872, 1487, 188, 944, 286, 10007, 11323, 8247, 4653, 1904, 274, 5687, 321, 85, 3551, 14, 14, 14, 263, 2992, 7149, 785, 2662, 21594, 695, 11982, 26, 328, 324, 819, 2976, 6326, 254, 16, 321, 1779, 282, 348, 15393, 1874, 390, 4987, 5168, 2079, 8927, 4003, 380, 33813, 282, 2591, 1339, 321, 27294, 5098, 5360, 22088, 2104, 3768, 2374, 6645, 286, 286, 628, 679, 274, 274, 188, 1444, 374, 46416, 5569, 311, 1339, 16, 20014, 4369, 16, 2790, 3954, 254, 274, 1033, 32187, 4536, 4282, 5805, 343, 2712, 360, 4360, 2992, 321, 9517, 2135, 6305, 510, 2942, 20728, 869, 1991, 12956, 6211, 343, 254, 14, 14, 390, 276, 407, 248, 1830, 286, 641, 11346, 7149, 347, 286, 254, 4864, 597, 311, 457, 5168, 5537, 343, 512, 7269, 390, 14, 3089, 1034, 14, 18, 1333, 3015, 4619, 14619, 274, 254, 282, 7109, 12467, 56, 254, 16, 27592, 4653, 2941, 2165, 633, 745, 274, 16, 434, 9865, 6004, 23167, 369, 85, 3364, 3532, 3860, 13923, 19, 7051, 272, 8386, 13694, 286, 663, 6068, 5077, 286, 5668, 338, 254, 3944, 311, 510, 2893, 2435, 2231, 21041, 1999, 274, 311, 282, 2374, 254, 512, 5098, 28984, 2482, 286, 390, 26, 18, 8715, 512, 3567, 695, 7478, 580, 12586, 18442, 248, 272, 2992, 8979, 449, 695, 7172, 14, 2231, 39319, 16, 10132, 8386, 188, 441, 188, 532, 633, 7639, 2231, 2362, 33677, 2218, 16, 4829, 11521, 324, 343, 2093, 5105, 368, 12676, 12586, 432, 16, 2992, 2371, 2705, 20794, 665, 2628, 14, 6161, 14, 8075, 670, 4481, 327, 2231, 4481, 9258, 4235, 20362, 390, 286, 274, 1114, 14729, 2093, 254, 1648, 9055, 11030, 16, 311, 7268, 390, 1619, 188, 311, 16, 16, 1963, 32035, 5098, 16, 39080, 13104, 2949, 331, 671, 580, 12587, 272, 1047, 328, 14, 29362, 11416, 24417, 14, 14, 4282, 10280, 3462, 14, 324, 10126, 3135, 2413, 321, 31848, 368, 311, 324, 15388, 758, 3290, 188, 819, 188, 14, 11387, 407, 321, 286, 14, 16, 4317, 5346, 10602, 2525, 8386, 282, 274, 839, 28482, 282, 254, 188, 872, 15786, 286, 6363, 2150, 10995, 286, 30802, 1460, 4010, 16, 10399, 16, 5098, 3762, 669, 390, 2779, 14, 263, 390, 286, 254, 14, 2317, 1648, 19269, 403, 3533, 7180, 254, 3838, 33317, 18642, 28645, 274, 4481, 643, 26808, 353, 188, 750, 7109, 306, 314, 2992, 16, 16, 16, 16, 282, 8725, 5123, 2851, 286, 188, 11, 4987, 2080, 5553, 889, 328, 5495, 889, 276, 327, 16, 4400, 16, 889, 16, 390, 15336, 14, 2231, 1738, 7406, 20253, 2231, 3835, 14, 14, 188, 4584, 343, 1755, 254, 286, 6000, 321, 387, 16, 16, 286, 282, 640, 28, 2992, 2033, 19594, 321, 2489, 14, 12586, 331, 282, 11434, 13908, 2371, 286, 16, 27188, 188, 354, 457, 24931, 6906, 22070, 14, 1675, 188, 331, 615, 12255, 1738, 40, 286, 16, 25, 274, 0, 13547, 13400, 286, 3446, 286, 328, 40737, 282, 593, 889, 321, 324, 48145, 274, 29330, 7530, 15, 282, 0, 25, 3860, 1460, 1931, 961, 13663, 4683, 1339, 20, 665, 6211, 11263, 274, 2779, 10995, 254, 254, 4848, 2371, 254, 311, 188, 286, 3989, 276, 4481, 27, 2041, 14, 4653, 1013, 2756, 476, 13197, 5083, 23104, 4848, 417, 4750, 10126, 28482, 848, 35709, 2408, 248, 274, 16, 41365, 286, 18, 12768, 9604, 18642, 14619, 282, 282, 2976, 640, 20, 949, 774, 9220, 24213, 423, 14, 26416, 188, 274, 603, 3598, 4817, 15, 423, 324, 16, 331, 4010, 1804, 3532, 2303, 3817, 6326, 7180, 7787, 613, 343, 188, 20362, 640, 2271, 390, 695, 6214, 2705, 3605, 496, 360, 254, 286, 30937, 14153, 28217, 2525, 7269, 5146, 2507, 3856, 407, 1068, 14, 16, 286, 272, 5098, 8453, 264, 282, 343, 2507, 14, 476, 43723, 5819, 28482, 286, 13130, 655, 16, 16, 272, 248, 254, 1093, 19199, 387, 4022, 1830, 6013, 20, 3901, 3642, 890, 348, 554, 1360, 188, 14459, 274, 10835, 26, 11793, 5751, 665, 343, 324, 21233, 254, 16, 10835, 4282, 27979, 286, 276, 457, 27294, 274, 7180, 883, 4923, 272, 2218, 4273, 2614, 457, 24160, 390, 265, 254, 274, 30613, 0, 403, 16, 286, 4214, 665, 1339, 15598, 4580, 85, 254, 13521, 5098, 1633, 403, 2133, 2992, 18, 593, 254, 0, 826, 587, 5438, 6894, 309, 282, 321, 343, 743, 254, 16, 3335, 633, 276, 731, 2169, 1675, 512, 11214, 324, 286, 6326, 5459, 20, 670, 613, 31644, 286, 327, 22521, 18119, 282, 14, 671, 23097, 4850, 15, 2035, 1336, 4024, 390, 7269, 23458, 3371, 390, 27592, 25935, 27188, 17842, 13142, 18, 7560, 6000, 403, 2252, 16, 248, 14, 3397, 9364, 12209, 274, 15598, 16, 4351, 14, 327, 188, 4605, 348, 25, 28482, 32030, 3642, 286, 836, 343, 2023, 5098, 2271, 7172, 276, 16, 16, 274, 274, 1525, 10968, 14388, 8117, 23943, 254, 16, 22699, 15, 436, 37, 331, 248, 6000, 274, 276, 27, 442, 14, 276, 1285, 2231, 12599, 35709, 12816, 398, 2942, 286, 10700, 14, 343, 11879, 18451, 2347, 10198, 2705, 7109, 286, 4987, 24, 324, 25 ]
[ 1, 8909, 2880, 1262, 21257, 11317, 63, 1554, 2855, 603, 38254, 10263, 276, 28023, 2236, 5141, 647, 22324, 11, 324, 477, 14, 426, 65, 239, 1076, 16, 465, 16, 4963, 1827, 791, 18, 647, 4522, 751, 426, 2192, 3226, 1827, 10, 2192, 2360, 956, 7888, 63, 647, 1180, 3226, 6498, 61, 188, 926, 399, 8721, 2236, 4522, 21469, 6799, 65, 1827, 20010, 324, 38887, 44946, 575, 2192, 5489, 17, 2621, 12629, 1827, 10, 1196, 3226, 8909, 188, 603, 21257, 1142, 426, 1855, 15, 1262, 3052, 13855, 188, 426, 10, 22191, 15, 16380, 2192, 18988, 3226, 5813, 22324, 1827, 188, 3226, 550, 1358, 1465, 2167, 246, 18988, 1262, 21257, 804, 10327, 1076, 28, 16, 1262, 2192, 5912, 22191, 10, 65, 7954, 477, 1262, 16, 270, 65, 5141, 3933, 72, 21257, 7348, 804, 11768, 9436, 255, 20272, 188, 10, 324, 8897, 214, 647, 1076, 95, 4522, 65, 2788, 11, 1294, 3226, 1510, 3226, 16, 2012, 16, 16, 45098, 19814, 767, 8897, 16, 16, 647, 28, 7888, 336, 2498, 2012, 24051, 11, 22191, 18988, 1827, 11, 3226, 647, 324, 7888, 927, 426, 926, 1262, 41552, 1713, 11836, 17, 784, 2192, 276, 2192, 784, 10, 1554, 3226, 2192, 10643, 11317, 7888, 65, 1827, 1262, 342, 1076, 4338, 65, 188, 3434, 1076, 4522, 550, 27902, 41552, 213, 1827, 2788, 255, 1003, 14, 6799, 348, 1784, 65, 14661, 12573, 20010, 11, 3226, 1320, 4623, 2386, 2167, 188, 426, 276, 324, 1554, 647, 2224, 4623, 33488, 44946, 10, 20, 10, 65, 647, 188, 1465, 276, 1146, 926, 347, 7888, 311, 262, 1827, 477, 417, 1465, 1076, 477, 11, 22191, 2498, 3434, 426, 1262, 804, 12798, 804, 2012, 2781, 2012, 647, 2498, 3578, 39772, 20010, 39417, 477, 2012, 3226, 72, 2192, 2137, 19, 22324, 477, 8897, 1262, 6055, 477, 10, 1246, 2781, 9321, 6498, 1146, 1003, 12573, 21257, 65, 784, 550, 188, 2192, 927, 1784, 426, 16619, 791, 1554, 543, 10, 1827, 188, 1713, 804, 33526, 684, 647, 4156, 11, 5141, 9436, 784, 1554, 647, 1351, 1210, 6892, 7348, 8037, 2236, 1827, 4623, 647, 1713, 804, 25178, 5912, 26491, 4993, 6498, 2192, 382, 7910, 477, 24339, 804, 4623, 28023, 804, 11033, 253, 7663, 17, 27902, 2192, 18238, 28, 2880, 3457, 12629, 5078, 16, 4338, 10, 65, 3933, 2192, 5064, 2192, 23730, 16216, 926, 1952, 1003, 3457, 2012, 3226, 1076, 95, 16663, 9321, 8376, 15193, 3226, 784, 2781, 1390, 5314, 8897, 246, 477, 1827, 1196, 10, 4522, 16, 1369, 14, 4963, 210, 28, 8414, 1076, 12573, 1262, 1465, 336, 12629, 12629, 41661, 188, 27120, 4963, 1827, 784, 784, 603, 40369, 550, 1465, 16, 16, 270, 16364, 22191, 1827, 9436, 210, 1554, 12460, 550, 426, 1827, 188, 16, 269, 784, 2137, 8414, 14, 10, 647, 1952, 5141, 10, 477, 22383, 5896, 2192, 14, 65, 477, 1076, 65, 10327, 65, 647, 2386, 1465, 3226, 2855, 647, 1076, 27902, 426, 804, 647, 16, 3434, 16, 509, 3457, 1003, 784, 6799, 2621, 65, 12573, 16445, 20010, 784, 188, 17, 8897, 791, 18988, 465, 647, 10, 927, 8414, 477, 2855, 276, 647, 2236, 8897, 65, 22191, 14046, 188, 1262, 382, 477, 477, 4993, 188, 65, 825, 1827, 38800, 65, 28, 804, 6576, 8897, 1076, 477, 4608, 1554, 1146, 1827, 20310, 4338, 22191, 348, 16, 791, 10263, 3357, 188, 2498, 10, 956, 1465, 28, 1827, 16, 65, 311, 18, 1076, 19, 3226, 2167, 477, 3578, 65, 1076, 17, 509, 8897, 1196, 1210, 1196, 1262, 784, 3226, 784, 78, 2012, 270, 1827, 1076, 7910, 804, 1554, 1246, 11033, 11, 1003, 11569, 534, 14, 16216, 286, 2788, 14, 276, 10889, 61, 39417, 10, 2012, 3578, 14, 2012, 926, 1369, 10, 65, 28, 7888, 804, 276, 188, 14, 2137, 575, 2012, 16, 1262, 550, 1196, 65, 1827, 382, 2167, 16380, 2192, 24237, 2240, 804, 1465, 684, 12573, 3226, 7309, 1262, 4436, 10, 2192, 1827, 3226, 10529, 1262, 6161, 24237, 1142, 39417, 45098, 3226, 1262, 26491, 14, 8897, 22191, 41661, 804, 6498, 3226, 1827, 10, 3578, 20010, 13729, 12573, 10643, 16, 603, 188, 12899, 426, 1784, 11317, 684, 3291, 1784, 10327, 10, 477, 477, 1262, 1358, 11, 16, 926, 1358, 2192, 12460, 324, 1554, 684, 2137, 629, 432, 804, 1210, 426, 647, 2112, 926, 90, 4623, 426, 7888, 1465, 33488, 20310, 14661, 262, 10, 11970, 342, 1952, 14046, 210, 2012, 1369, 270, 825, 1784, 2621, 8037, 28, 2112, 269, 72, 1465, 13855, 1246, 6576, 1510, 3578, 28023, 10, 6576, 3226, 5314, 1827, 14, 647, 14226, 3226, 10, 16, 14, 28, 65, 65, 647, 4522, 2781, 1358, 647, 16, 19, 10527, 2012, 10, 4522, 77, 2855, 7954, 11569, 1507, 65, 647, 4623, 6161, 3434, 16, 1196, 3226, 1827, 16, 16, 11, 11317, 426, 24339, 426, 65, 8897, 28, 647, 534, 33488, 2498, 1067, 95, 36182, 65, 2012, 255, 1827, 1827, 477, 2192, 1076, 3226, 1196, 40369, 44565, 7568, 4145, 3291, 188, 1827, 65, 8897, 1076, 350, 1554, 240, 188, 477, 269, 1358, 41552, 31416, 14, 10527, 11569, 2788, 7954, 39772, 926, 647, 16663, 210, 2498, 65, 3226, 672, 4145, 477, 767, 477, 16, 65, 42844, 4993, 10, 1146, 1827, 6576, 2520, 188, 44145, 3578, 65, 37742, 6576, 39772, 0, 7888, 12899, 426, 2192, 44565, 65, 426, 5813, 2137, 2360, 1196, 10, 2137, 2520, 15, 1262, 215, 1713, 2192, 45098, 1465, 2855, 1294, 11768, 1196, 1003, 20010, 210, 1827, 3578, 4993, 426, 1262, 8897, 926, 4156, 16, 8414, 784, 5141, 4436, 1465, 1554, 1076, 3325, 2192, 3578, 44946, 2192, 15323, 95, 647, 647, 24339, 2880, 804, 5912, 65, 2137, 1262, 465, 3226, 16, 399, 2192, 188, 4993, 647, 10, 23730, 95, 14439, 477, 72, 28, 14, 11317, 1003, 10, 10, 10, 432, 8037, 426, 11, 65, 1510, 3357, 2360, 477, 2788, 10, 1827, 2167, 20010, 10, 804, 784, 477, 17, 16, 12629, 1827, 18368, 1076, 7888, 1196, 4993, 347, 10, 534, 44565, 276, 926, 1465, 1262, 1076, 1146, 1465, 1196, 1784, 20010, 188, 1196, 647, 1196, 65, 1262, 16, 1713, 65, 1554, 240, 5141, 8897, 3291, 18442, 65, 11, 20010, 3291, 10529, 3226, 1827, 8376, 10, 14, 13604, 684, 926, 29971, 16380, 2192, 647, 1713, 65, 188, 65, 6799, 24051, 751, 603, 2386, 36085, 324, 11569, 65, 1554, 6048, 45098, 1003, 3357, 3578, 14, 16, 684, 1465, 16, 647, 20010, 246, 3226, 784, 23730, 804 ]
[ 1, 14, 802, 1755, 1499, 603, 18, 4003, 2758, 27, 254, 6106, 248, 248, 18, 276, 3203, 16, 324, 1928, 23, 607, 756, 276, 729, 3972, 31992, 13066, 6231, 785, 274, 4813, 2489, 33417, 1952, 1362, 10, 16, 16, 276, 1062, 6253, 276, 615, 13221, 370, 603, 248, 668, 274, 513, 8995, 1268, 248, 862, 16, 6106, 19949, 640, 248, 513, 276, 1408, 668, 370, 16, 510, 16, 626, 2674, 17089, 19701, 434, 774, 1143, 33, 18, 5758, 353, 16, 4936, 16, 311, 2514, 43, 2328, 321, 2328, 596, 476, 3498, 1395, 8753, 18, 650, 476, 8753, 387, 596, 311, 13643, 4813, 13643, 370, 368, 43189, 15581, 1547, 9575, 434, 274, 24, 398, 14, 274, 20, 10417, 7354, 683, 650, 8612, 19, 14, 401, 27091, 3227, 1223, 5851, 731, 1563, 1838, 434, 20, 311, 274, 16151, 282, 1125, 345, 1362, 276, 1223, 439, 1093, 802, 324, 22, 1354, 276, 14, 2016, 8920, 668, 13643, 368, 811, 398, 16, 14, 719, 14, 16, 5145, 274, 321, 14, 1051, 22, 321, 8753, 1924, 2065, 495, 370, 2328, 4, 751, 321, 23, 370, 2728, 254, 282, 974, 650, 4813, 532, 274, 20, 6106, 368, 576, 481, 327, 274, 19, 248, 276, 1575, 2504, 327, 21, 5758, 648, 563, 699, 20, 513, 6253, 14, 5758, 20, 18, 603, 650, 370, 248, 4617, 14, 4931, 452, 6253, 276, 348, 2016, 272, 327, 24, 21, 14, 3191, 254, 2942, 188, 2187, 476, 18, 276, 436, 2065, 4426, 2631, 23, 25, 282, 274, 14, 282, 345, 401, 272, 18, 3048, 3602, 2982, 14478, 16, 6010, 282, 9787, 2042, 286, 254, 2055, 19, 403, 513, 248, 321, 596, 6656, 495, 641, 254, 3498, 1110, 4813, 347, 18, 10054, 12599, 369, 282, 6106, 370, 403, 802, 4465, 4168, 327, 581, 16, 16, 25, 33417, 3051, 802, 248, 286, 648, 33, 16, 347, 439, 370, 18, 248, 1583, 1438, 422, 3432, 254, 272, 276, 17, 16, 282, 370, 4813, 7732, 14, 18, 4813, 387, 1838, 14, 668, 14, 368, 668, 16, 6578, 248, 15, 14, 282, 12510, 807, 1982, 1180, 2980, 1045, 596, 16, 188, 3686, 16, 2876, 16, 1057, 2360, 3144, 12343, 1041, 324, 13221, 3316, 16, 439, 327, 9787, 271, 311, 390, 369, 2042, 15581, 13221, 370, 650, 593, 3979, 2141, 13718, 14, 16630, 1408, 1180, 276, 1268, 785, 311, 2169, 625, 272, 1594, 18767, 370, 14, 1782, 1931, 276, 668, 3997, 587, 10417, 1464, 276, 374, 91, 272, 1362, 282, 2016, 272, 2501, 248, 1928, 2499, 1045, 1924, 14, 6106, 19, 18, 16, 603, 18, 977, 1503, 683, 8753, 18, 248, 248, 802, 615, 748, 276, 507, 311, 616, 520, 14197, 348, 1656, 4987, 88, 802, 13221, 254, 17, 1362, 16, 273, 3470, 248, 748, 1547, 286, 10991, 321, 13, 633, 4936, 25, 8856, 1041, 18, 20, 13643, 1181, 27, 742, 2732, 4003, 14478, 16, 16, 370, 2065, 3788, 33423, 434, 1963, 13221, 15785, 282, 286, 12599, 650, 324, 15845, 27, 18, 286, 626, 14478, 254, 324, 6578, 276, 14629, 14, 5758, 368, 370, 20, 6921, 3198, 13643, 16, 310, 254, 811, 370, 11562, 36141, 16, 3278, 14, 607, 8688, 345, 1838, 3278, 862, 1057, 18, 16, 16709, 327, 555, 16, 2630, 16, 1427, 19, 254, 4387, 254, 254, 1928, 14, 286, 10160, 650, 4987, 1038, 417, 580, 942, 4349, 4813, 23, 683, 13066, 6141, 5475, 2008, 274, 3191, 603, 188, 321, 2728, 345, 20, 254, 22, 286, 1722, 16, 276, 597, 2674, 625, 13066, 274, 18, 4987, 321, 14, 380, 21663, 18, 282, 1051, 23, 22, 16, 272, 6901, 16, 248, 5145, 370, 16, 33271, 274, 18, 18, 276, 1928, 14, 650, 22, 276, 1362, 276, 4090, 324, 15847, 1286, 21401, 452, 276, 590, 4813, 274, 3971, 25, 20, 16, 188, 19, 625, 311, 731, 26987, 14197, 20, 327, 311, 663, 21, 1041, 1976, 248, 14, 15, 615, 14, 650, 330, 625, 248, 731, 327, 6253, 2545, 6010, 11562, 1268, 2152, 25, 3227, 22, 10417, 272, 8753, 16, 273, 16, 370, 625, 24, 1838, 370, 374, 648, 22, 2328, 248, 10054, 2731, 24, 10203, 3972, 19, 19, 248, 23, 19949, 345, 2701, 1441, 2211, 15581, 16, 345, 26987, 10417, 343, 276, 14, 16, 274, 1002, 398, 8611, 18, 403, 16, 348, 311, 188, 321, 683, 35539, 3212, 785, 368, 26, 353, 2942, 276, 324, 370, 6100, 370, 8688, 18, 19, 273, 282, 4987, 713, 18, 668, 248, 282, 452, 985, 338, 276, 6106, 496, 23, 4987, 27046, 607, 4269, 276, 254, 590, 1012, 1002, 254, 14, 22, 327, 862, 747, 23, 22096, 188, 311, 370, 13221, 668, 16151, 14, 650, 16, 18, 24, 14, 401, 8753, 248, 370, 6106, 495, 248, 1928, 2042, 872, 1427, 286, 20288, 254, 9696, 756, 576, 4, 593, 439, 248, 353, 3256, 321, 417, 16, 4188, 20, 14, 282, 439, 370, 188, 14, 19, 1268, 1503, 321, 272, 370, 24, 311, 311, 4936, 14, 18, 14, 276, 607, 286, 276, 8202, 46581, 9787, 713, 6253, 33417, 6231, 77, 1143, 23, 3686, 21, 650, 1722, 13643, 1223, 16, 282, 6611, 188, 276, 2342, 5655, 16, 248, 311, 6106, 25, 2527, 27, 961, 14, 2774, 282, 811, 22, 282, 321, 625, 2008, 311, 16151, 401, 18, 23, 343, 668, 2501, 374, 18, 944, 7, 276, 18, 276, 7180, 3191, 748, 4936, 10417, 14, 7180, 390, 254, 19, 19, 2016, 23, 740, 248, 4813, 248, 1286, 16, 248, 512, 272, 16, 18, 555, 26987, 18, 18, 343, 274, 23, 327, 6106, 324, 624, 16, 15813, 14, 254, 321, 2103, 1963, 370, 272, 16, 19, 31992, 254, 811, 18, 248, 4813, 807, 23, 34772, 18, 248, 2016, 7957, 688, 5147, 353, 348, 370, 248, 1062, 22, 1309, 596, 18, 16872, 2430, 282, 272, 14, 254, 23, 6898, 4954, 254, 1583, 347, 370, 286, 807, 23, 9138, 272, 248, 2330, 347, 3061, 811, 254, 16, 248, 2328, 311, 4090, 353, 14, 2086, 20, 311, 2075, 248, 8753, 36141, 380, 27, 21401, 668, 650, 13066, 2328, 2545, 408, 370, 276, 597, 8753, 16, 14, 4188, 311, 370, 3972, 7957, 16, 12599, 15163, 785, 3686, 16, 18, 16, 1408, 16, 9421, 188, 21, 14, 1649, 21663, 650, 1362, 338, 1286, 20389, 1051, 15785, 27, 16, 668, 27, 2942, 282, 1336, 16151, 254 ]
[ 1, 327, 374, 16, 12032, 3979, 254, 15065, 9260, 348, 3134, 14, 587, 2784, 457, 1093, 403, 14, 1259, 3294, 2049, 756, 1851, 3941, 254, 7345, 19606, 188, 380, 1402, 10842, 295, 311, 533, 348, 274, 403, 1906, 45095, 286, 282, 1738, 3894, 85, 2142, 343, 286, 11845, 4543, 3265, 276, 4279, 476, 328, 1648, 1738, 374, 14, 1767, 24, 642, 14, 587, 2151, 86, 286, 348, 3054, 6093, 327, 188, 276, 10036, 7664, 3906, 14, 596, 9, 3225, 1480, 3217, 286, 387, 626, 353, 1738, 5655, 14, 1949, 321, 276, 3032, 374, 1002, 16, 188, 452, 555, 9112, 254, 282, 4645, 321, 7935, 10127, 16, 327, 254, 7996, 1143, 1091, 7317, 6786, 274, 1041, 641, 2019, 403, 33, 254, 343, 563, 254, 18, 14, 835, 513, 688, 2759, 20460, 3134, 1090, 2501, 248, 286, 48188, 188, 3351, 188, 6004, 353, 6083, 2411, 348, 19, 14, 19, 669, 23, 5048, 403, 14, 188, 324, 668, 3351, 2142, 286, 2006, 7935, 8823, 819, 11247, 1354, 729, 14763, 40775, 1649, 2714, 592, 7363, 1268, 7468, 1056, 1924, 1129, 16, 6117, 276, 14, 324, 729, 942, 457, 188, 14, 1263, 330, 13864, 286, 626, 1738, 476, 587, 254, 1521, 915, 282, 286, 452, 1063, 16, 86, 14, 452, 452, 1640, 2153, 597, 6083, 321, 314, 31145, 13672, 188, 18, 24, 834, 14249, 328, 11, 20, 374, 3134, 188, 2391, 5485, 286, 324, 457, 14, 1125, 254, 3134, 311, 626, 44381, 14, 5485, 4652, 4214, 282, 27899, 348, 1090, 1205, 282, 248, 16, 5521, 282, 26429, 7719, 254, 1738, 1583, 1738, 324, 888, 6093, 254, 18, 2497, 2071, 6296, 282, 6083, 1091, 282, 38588, 1091, 3941, 942, 282, 282, 2156, 593, 14, 942, 3134, 9353, 1093, 282, 324, 1480, 14, 19506, 3134, 7935, 380, 282, 587, 2367, 6936, 643, 23110, 10127, 2715, 324, 7148, 592, 1738, 1360, 254, 662, 5709, 34557, 14, 385, 374, 327, 6083, 1091, 286, 6083, 254, 2049, 1125, 3062, 615, 3134, 282, 282, 24780, 254, 20289, 16, 254, 580, 274, 188, 282, 19038, 593, 1708, 2925, 624, 14, 16, 695, 28528, 8826, 1041, 12101, 1091, 0, 1789, 663, 1339, 1843, 1738, 254, 1824, 684, 14152, 403, 597, 16, 390, 14059, 1181, 2714, 626, 7583, 11527, 44643, 3860, 252, 18, 14, 274, 6320, 2102, 2765, 254, 1738, 643, 19, 5521, 8886, 16, 512, 18, 1162, 2722, 801, 16, 343, 668, 1543, 1181, 33231, 40775, 2148, 3134, 14, 254, 314, 596, 2152, 327, 8865, 188, 3112, 16, 2120, 85, 18823, 8256, 286, 348, 6083, 9505, 286, 457, 3004, 7317, 10821, 324, 1091, 18094, 1026, 22579, 3134, 2967, 2497, 587, 932, 274, 16, 343, 6083, 37, 1269, 643, 1563, 310, 324, 963, 327, 13085, 533, 807, 3571, 942, 324, 1091, 4076, 12254, 2755, 328, 20, 311, 4433, 274, 2151, 254, 1091, 9619, 254, 343, 1091, 248, 6083, 16, 29449, 343, 1205, 1129, 23, 3367, 248, 1480, 747, 327, 254, 555, 327, 3397, 1738, 1738, 6083, 327, 14, 16, 4076, 254, 3790, 1091, 4563, 807, 3134, 14, 353, 1336, 2254, 615, 248, 25402, 343, 3509, 2499, 1583, 747, 515, 274, 867, 1062, 671, 3367, 1402, 603, 14, 2520, 1615, 802, 3134, 1863, 774, 5962, 279, 3004, 18, 13306, 13515, 12101, 457, 959, 274, 286, 1125, 324, 555, 4532, 14, 3134, 38510, 311, 23, 41686, 11384, 276, 328, 286, 1091, 254, 324, 4090, 436, 282, 4028, 3427, 391, 16, 9021, 1269, 510, 1851, 19, 353, 85, 532, 6601, 6113, 286, 457, 547, 1093, 311, 273, 1091, 1594, 36778, 615, 3547, 18, 403, 944, 254, 452, 512, 19359, 17487, 286, 663, 1635, 14, 1996, 254, 417, 327, 597, 18, 2961, 2497, 6083, 16, 16, 188, 403, 2964, 476, 16, 1125, 6083, 10846, 624, 1090, 3906, 254, 1057, 2328, 436, 10636, 626, 743, 314, 561, 4962, 19, 6083, 248, 14, 31477, 2427, 6684, 1544, 3134, 282, 668, 14, 254, 16, 7583, 555, 615, 276, 343, 587, 31477, 8809, 274, 16, 1738, 254, 469, 1738, 10801, 12310, 596, 286, 561, 276, 282, 3206, 16, 3435, 81, 328, 3778, 743, 254, 14, 16, 2780, 8063, 282, 665, 2086, 188, 3134, 14, 3452, 254, 324, 1733, 587, 4364, 1090, 254, 276, 390, 1837, 9556, 348, 41447, 942, 276, 407, 403, 395, 11845, 11, 6083, 6004, 2692, 321, 14, 13753, 48188, 16, 5962, 2961, 11035, 274, 1057, 37084, 324, 2320, 1181, 403, 2468, 324, 274, 15, 2474, 2824, 47704, 9928, 274, 7530, 2427, 1738, 2086, 254, 11314, 1360, 23, 12622, 8111, 18, 1090, 327, 3906, 671, 286, 390, 8141, 282, 432, 19, 86, 3260, 1024, 16, 2055, 5884, 4308, 276, 14, 48, 4699, 5447, 457, 6083, 942, 12396, 10257, 889, 587, 1843, 16751, 3432, 188, 520, 695, 254, 650, 14, 16, 436, 24780, 2501, 276, 3134, 16234, 282, 1269, 1125, 16, 282, 2497, 6168, 311, 34170, 254, 12101, 387, 1093, 254, 11845, 343, 18, 615, 1922, 643, 286, 254, 513, 819, 434, 360, 687, 374, 1056, 2025, 6083, 8802, 748, 86, 596, 1130, 24, 1676, 321, 2019, 14, 1143, 997, 2546, 1664, 452, 2038, 1180, 587, 14, 276, 669, 4226, 348, 1223, 36431, 6113, 452, 5123, 7943, 276, 16, 6117, 7977, 555, 1247, 374, 8141, 3134, 324, 1125, 16, 432, 819, 802, 1972, 254, 3979, 3906, 324, 13909, 321, 6083, 5518, 2427, 3134, 662, 1689, 254, 14, 2515, 593, 3867, 4315, 942, 457, 19, 262, 311, 286, 29851, 3134, 1738, 4328, 3202, 19, 1738, 1245, 854, 597, 1364, 16780, 14, 11951, 811, 16, 3780, 729, 3811, 17598, 4090, 282, 24780, 457, 663, 274, 16, 15895, 328, 3265, 254, 353, 282, 1129, 343, 390, 4671, 8025, 327, 7155, 254, 1663, 359, 188, 2537, 272, 1051, 254, 343, 276, 374, 452, 2135, 33339, 8141, 643, 14, 502, 5521, 360, 1385, 6617, 3134, 1953, 25189, 254, 1223, 748, 353, 624, 457, 14733, 2218, 353, 10021, 282, 497, 343, 596, 18, 563, 6093, 4076, 510, 1738, 6083, 311, 1091, 2063, 33, 5475, 835, 282, 311, 8126, 3860, 1851, 1091, 6008, 1091, 327, 14, 4634, 643, 3405, 37, 2038, 403, 1241, 915, 14, 1017, 3997, 1110, 368, 28672, 2525, 1218, 3979, 343, 1738, 9409, 1964, 11, 532, 3134, 11845, 9409, 3265, 587, 19, 282, 7828, 5537, 86, 8141, 282, 274, 1091, 8141, 650, 276, 17161, 47380, 282, 14, 16, 14541 ]
[ 1, 2674, 248, 683, 18, 353, 532, 310, 441, 310, 25, 2317, 4792, 353, 751, 1213, 2626, 369, 254, 826, 2056, 7383, 6357, 17144, 282, 14, 687, 314, 747, 4419, 1181, 5884, 282, 1848, 1096, 368, 369, 368, 3879, 44880, 729, 731, 20398, 14, 274, 12561, 369, 5439, 12928, 561, 4114, 274, 14, 18, 398, 254, 974, 580, 748, 17507, 14, 18, 774, 188, 1464, 836, 44880, 8728, 5279, 188, 286, 38829, 17921, 30040, 276, 593, 6928, 274, 254, 1923, 348, 0, 2835, 369, 1037, 188, 1412, 6192, 520, 248, 5330, 7061, 3879, 310, 310, 22624, 324, 18164, 8550, 23910, 670, 2512, 573, 254, 16, 10581, 274, 1708, 282, 532, 9757, 5493, 8861, 452, 38948, 1125, 2120, 1368, 282, 10903, 310, 398, 14, 282, 263, 642, 1144, 276, 282, 254, 286, 434, 3155, 843, 330, 532, 1862, 1364, 10723, 274, 14, 16, 14, 3240, 398, 345, 54, 324, 786, 16, 369, 1574, 8071, 274, 2912, 310, 321, 286, 1499, 16, 310, 496, 12848, 820, 3782, 327, 324, 581, 4061, 1755, 2378, 18600, 763, 4525, 750, 254, 368, 977, 10903, 274, 254, 354, 3732, 274, 1530, 4142, 369, 663, 353, 15, 254, 286, 3843, 888, 9887, 1899, 2967, 10903, 11943, 47540, 369, 282, 16, 276, 668, 14, 5363, 286, 16, 17517, 18523, 625, 274, 311, 15362, 597, 865, 18, 276, 68, 16, 276, 328, 1920, 274, 248, 1864, 248, 5330, 11990, 286, 4326, 16, 327, 22, 1480, 729, 34921, 347, 188, 30772, 327, 615, 3686, 1874, 668, 276, 17949, 650, 2543, 520, 11733, 251, 476, 40021, 3802, 5607, 8375, 1845, 1661, 4316, 3629, 14, 1379, 9819, 12534, 327, 9104, 2835, 1476, 35, 1755, 6192, 20703, 282, 248, 3470, 18, 23012, 3853, 615, 6796, 1024, 286, 1628, 46709, 1080, 254, 4558, 327, 274, 311, 188, 2746, 254, 254, 532, 254, 625, 1842, 14, 274, 1897, 10316, 2257, 1141, 749, 20498, 274, 23330, 310, 35820, 6928, 749, 314, 28, 369, 580, 16, 398, 324, 40385, 428, 16, 4688, 14414, 848, 68, 272, 311, 3637, 10457, 1116, 188, 2263, 520, 45076, 16, 10739, 3647, 650, 15, 3686, 23893, 7634, 16, 254, 387, 387, 14223, 520, 1328, 14, 479, 665, 328, 6928, 441, 33, 1081, 1838, 319, 11733, 8550, 38836, 276, 593, 1157, 25814, 38836, 310, 1309, 16, 369, 811, 3759, 254, 1218, 17865, 2371, 348, 2956, 16, 369, 248, 32435, 1431, 348, 596, 343, 20498, 603, 274, 248, 286, 520, 775, 775, 16, 345, 2828, 38948, 6928, 310, 276, 1842, 1652, 353, 276, 38935, 1093, 16, 520, 68, 286, 368, 14, 1427, 248, 3579, 7675, 1515, 750, 353, 16, 3637, 750, 14, 369, 3400, 16, 18525, 2875, 403, 15, 248, 274, 14, 14, 188, 327, 18273, 434, 16, 4163, 286, 2539, 1963, 20087, 310, 10903, 763, 16068, 27087, 16, 254, 9764, 1190, 775, 721, 16, 625, 369, 254, 5883, 353, 7141, 3629, 310, 305, 7434, 944, 19, 4087, 4682, 1423, 3470, 5061, 1782, 1652, 1416, 282, 731, 369, 2211, 5435, 327, 687, 387, 369, 820, 939, 248, 248, 16, 569, 481, 44880, 733, 16, 6796, 251, 15520, 4087, 254, 254, 1193, 282, 11943, 495, 16, 3532, 38836, 24775, 580, 668, 282, 22835, 1324, 314, 756, 1952, 7671, 1963, 369, 3997, 16, 286, 826, 353, 4576, 8728, 512, 403, 311, 286, 3532, 310, 338, 28951, 10903, 407, 3442, 282, 324, 343, 323, 1382, 274, 387, 9157, 353, 9994, 282, 1193, 188, 15, 286, 12928, 1848, 248, 1952, 618, 852, 3655, 12464, 3843, 520, 305, 4528, 2056, 91, 353, 248, 48, 10903, 6796, 2046, 5330, 3239, 310, 942, 16, 11733, 27, 310, 434, 555, 54, 15, 324, 5380, 11685, 15617, 286, 2391, 3396, 687, 939, 15256, 11943, 276, 13053, 3426, 1708, 12464, 369, 4713, 811, 6898, 274, 16, 353, 495, 1041, 6750, 775, 1259, 520, 343, 7234, 834, 310, 615, 19, 91, 10286, 14, 254, 9548, 625, 2523, 16, 16, 1640, 750, 520, 11733, 274, 820, 1382, 16, 286, 44880, 374, 18273, 1247, 327, 2536, 31721, 327, 324, 314, 1304, 14, 286, 625, 328, 353, 10849, 5533, 7642, 353, 2823, 750, 1480, 286, 16, 14, 188, 14827, 348, 5983, 45119, 398, 254, 16, 625, 274, 16068, 286, 520, 13034, 1041, 2843, 369, 35229, 615, 610, 625, 520, 17921, 286, 9306, 3487, 14, 21764, 324, 2943, 36555, 1093, 282, 441, 20802, 403, 27, 16, 15810, 20, 625, 510, 14, 5529, 1157, 188, 14, 254, 248, 16297, 580, 624, 387, 17921, 15168, 328, 310, 14714, 1623, 1897, 14, 942, 86, 1770, 11733, 3616, 3, 3802, 497, 1862, 188, 512, 695, 41696, 1952, 248, 1364, 248, 188, 16, 403, 26215, 3637, 34506, 16, 46806, 16, 248, 12991, 20498, 2818, 1701, 32435, 369, 2556, 14, 5431, 248, 44880, 10778, 520, 2683, 44880, 11943, 330, 1090, 481, 750, 1668, 7383, 434, 2304, 839, 16, 18, 1038, 924, 7504, 807, 274, 24, 1848, 775, 286, 510, 5330, 668, 282, 942, 775, 3663, 1193, 3854, 513, 9325, 14, 688, 254, 188, 2956, 286, 380, 310, 11291, 3751, 7155, 20192, 836, 4606, 266, 6438, 286, 254, 2169, 10840, 254, 2819, 338, 3997, 272, 520, 512, 4387, 25, 2654, 8550, 91, 14, 580, 4596, 43, 248, 286, 607, 276, 10157, 40570, 248, 1848, 1245, 21, 683, 15678, 573, 749, 650, 14, 8550, 16, 1838, 327, 13687, 16, 11733, 30194, 14, 23910, 607, 16, 563, 254, 360, 512, 1848, 18417, 254, 520, 20964, 3101, 5182, 9325, 6112, 16, 4875, 434, 3737, 16, 12148, 1116, 54, 16, 1845, 1141, 2936, 16, 282, 3206, 663, 327, 289, 345, 1838, 1708, 510, 807, 5256, 360, 447, 670, 4893, 354, 248, 7280, 3989, 14, 254, 360, 19, 5374, 1289, 14, 4099, 2836, 563, 274, 750, 310, 273, 2144, 2151, 2052, 449, 1268, 688, 1515, 311, 13992, 5846, 276, 2868, 1318, 310, 13500, 286, 10739, 687, 1141, 5883, 811, 668, 15, 16, 775, 7383, 328, 16, 327, 1603, 254, 310, 826, 274, 763, 2057, 343, 23691, 387, 14, 330, 14, 1438, 306, 15, 286, 2117, 687, 369, 11017, 17431, 671, 1391, 14, 31572, 2523, 689, 21543, 369, 16, 4075, 248, 188, 4746, 8861, 5594, 532, 6010, 16, 254, 11943, 286, 11291, 555, 374, 11, 345, 286, 14, 10903, 353, 2556, 972, 14506, 11943, 16, 3101, 449, 31721, 11439, 497, 274, 282, 1242, 24579, 24061, 310 ]
[ 1, 368, 2391, 42357, 3191, 22251, 749, 91, 30213, 8708, 31557, 2072, 282, 937, 13388, 328, 10834, 712, 360, 743, 3571, 367, 3648, 10846, 394, 1903, 457, 12506, 1619, 14273, 327, 888, 35243, 254, 82, 668, 23, 512, 2006, 403, 4239, 368, 956, 254, 16, 751, 4590, 407, 286, 254, 5053, 31543, 826, 282, 2102, 742, 2683, 5146, 1241, 1985, 46208, 327, 671, 956, 633, 16, 872, 25271, 17842, 5107, 398, 2263, 324, 7949, 512, 360, 1767, 188, 949, 1275, 436, 14, 387, 11815, 3680, 23643, 5232, 6741, 254, 669, 5044, 5256, 374, 605, 2896, 282, 188, 254, 17246, 348, 2945, 643, 629, 254, 17331, 6982, 14, 38894, 254, 188, 772, 37856, 4910, 1495, 1394, 328, 311, 286, 274, 387, 19, 274, 338, 1590, 24456, 5098, 1481, 338, 712, 286, 432, 2288, 719, 457, 742, 9787, 1250, 5882, 403, 3835, 16, 633, 265, 254, 254, 3894, 254, 31543, 2014, 3692, 40734, 1205, 76, 248, 4184, 353, 387, 1499, 286, 11921, 27754, 12951, 276, 16324, 254, 4727, 188, 282, 286, 3818, 18358, 6741, 520, 286, 3648, 4950, 521, 2023, 1864, 248, 24109, 15404, 403, 10149, 311, 6507, 669, 3648, 4117, 432, 3692, 286, 4184, 1481, 801, 2943, 276, 855, 327, 1309, 715, 3223, 9709, 13054, 19, 3629, 31557, 286, 274, 512, 1822, 520, 435, 785, 282, 383, 85, 1481, 274, 915, 2654, 580, 5351, 1678, 5123, 2722, 330, 1172, 670, 1350, 29820, 486, 17842, 1394, 254, 188, 1923, 254, 286, 5501, 32833, 286, 3418, 4656, 2187, 188, 4873, 9903, 3622, 188, 31543, 1516, 663, 432, 282, 14437, 19, 282, 2071, 440, 16, 33999, 4549, 4275, 18, 743, 3316, 276, 457, 18, 276, 4549, 504, 1919, 3648, 254, 13417, 319, 407, 14116, 14, 811, 18, 10886, 497, 16, 338, 510, 819, 533, 20275, 368, 19, 374, 520, 188, 2722, 3894, 248, 5356, 3569, 15747, 14, 14, 286, 3071, 7207, 11023, 670, 16, 16, 5633, 2741, 254, 188, 14180, 16, 15, 15419, 3124, 3571, 16, 3893, 12319, 387, 18788, 4597, 343, 274, 16, 328, 12852, 27, 15, 712, 772, 878, 254, 16, 282, 7186, 561, 1275, 16, 432, 16669, 7014, 4466, 1915, 282, 348, 14, 2413, 309, 8899, 8716, 19, 14, 512, 417, 6250, 12865, 254, 1262, 368, 282, 22251, 16326, 811, 282, 712, 12168, 6995, 510, 327, 14, 32972, 248, 2464, 836, 624, 6939, 597, 5356, 16, 3648, 4731, 476, 1275, 9353, 751, 457, 286, 3762, 12546, 327, 457, 633, 9023, 9595, 1628, 4250, 4403, 374, 663, 5156, 1481, 1062, 2245, 18, 13957, 254, 338, 254, 615, 374, 286, 841, 12546, 34951, 3371, 3419, 2104, 4275, 801, 276, 3326, 407, 348, 6761, 7014, 9471, 16816, 14, 19, 297, 4363, 878, 32193, 282, 38894, 2181, 16, 826, 801, 587, 2214, 1668, 1931, 188, 1034, 436, 5232, 31852, 1708, 7014, 9299, 286, 18, 297, 254, 432, 4243, 2830, 1242, 473, 254, 274, 877, 8262, 276, 20521, 1930, 27765, 7261, 4612, 721, 3648, 7014, 8093, 2486, 15, 282, 328, 1843, 1694, 18, 282, 16, 3148, 3294, 46580, 432, 1130, 19636, 1649, 633, 16, 14, 1481, 3461, 1205, 31315, 4474, 248, 254, 869, 587, 14, 33784, 2501, 532, 1862, 3783, 286, 2530, 7186, 9609, 495, 282, 1579, 3648, 20, 338, 267, 1143, 633, 282, 1864, 624, 12546, 16, 286, 4853, 328, 3571, 13089, 7186, 593, 254, 24641, 743, 16, 2926, 272, 3770, 24397, 3831, 254, 2543, 254, 669, 18864, 16, 254, 5356, 2586, 6830, 503, 30774, 24310, 265, 24067, 276, 0, 398, 29648, 839, 267, 19, 1843, 811, 3982, 188, 735, 14625, 274, 12852, 497, 2059, 6815, 9169, 24550, 956, 18, 497, 1242, 4058, 474, 713, 328, 4275, 16, 254, 24641, 4686, 5278, 4186, 8611, 16, 11374, 3509, 1242, 432, 633, 1416, 4727, 1079, 1394, 367, 4584, 6151, 327, 735, 254, 6701, 6832, 3223, 10419, 85, 573, 81, 7410, 10886, 3648, 36533, 615, 286, 21413, 27754, 267, 14, 8453, 1034, 276, 1919, 188, 763, 1931, 2630, 2057, 18358, 3860, 1480, 282, 39902, 6429, 2819, 11610, 9993, 4666, 286, 7127, 188, 188, 24641, 6956, 4117, 14, 7998, 254, 5232, 6499, 4612, 327, 188, 28980, 1130, 369, 5356, 248, 254, 10932, 3830, 18, 26, 663, 16, 1516, 4622, 267, 2102, 843, 14, 2042, 18734, 276, 20, 1594, 763, 14, 367, 6830, 1864, 5299, 16, 11642, 7262, 12565, 274, 282, 85, 16, 2545, 380, 670, 4045, 328, 561, 254, 716, 2408, 2654, 14, 1862, 5846, 3648, 3972, 5232, 4275, 1275, 6103, 367, 5356, 14, 286, 888, 580, 85, 254, 27714, 3720, 328, 457, 10782, 254, 7109, 3781, 16076, 14, 8101, 457, 254, 286, 23, 3327, 1354, 274, 977, 9596, 338, 743, 11019, 2945, 1708, 254, 254, 13343, 4117, 33999, 758, 338, 286, 1756, 324, 387, 4612, 2288, 4239, 811, 15, 5536, 4590, 276, 16545, 1438, 311, 16, 40244, 1919, 274, 254, 12951, 4708, 721, 248, 85, 9703, 4117, 15, 666, 4235, 16, 367, 1275, 18, 14, 457, 282, 20359, 3648, 9596, 367, 398, 274, 398, 2858, 254, 4235, 29936, 1336, 282, 15, 20851, 5044, 495, 395, 248, 276, 368, 16, 9734, 4184, 633, 276, 4117, 1575, 0, 15, 5493, 16326, 46178, 878, 348, 310, 4315, 3312, 7186, 286, 9863, 7846, 282, 377, 670, 254, 16, 1026, 2586, 731, 2501, 22051, 18358, 6901, 6452, 14586, 3223, 3801, 16, 18, 758, 36570, 743, 2115, 16937, 17759, 274, 633, 43645, 282, 367, 12546, 650, 14, 3648, 13957, 26522, 16, 20130, 839, 4117, 436, 15, 596, 254, 580, 248, 254, 23855, 5293, 573, 19, 403, 15, 5089, 188, 670, 248, 274, 713, 14, 3277, 4762, 520, 1683, 4612, 11, 5758, 971, 735, 1477, 20275, 2743, 9487, 18358, 30750, 387, 3580, 343, 18, 12908, 282, 3294, 855, 387, 188, 1063, 324, 688, 2041, 23209, 276, 1275, 28, 5356, 4297, 633, 432, 520, 4208, 671, 363, 248, 248, 248, 801, 20611, 1129, 30774, 286, 7927, 276, 14, 1063, 3972, 474, 32079, 0, 6211, 403, 19817, 573, 41, 254, 38337, 769, 369, 16, 403, 1181, 360, 735, 712, 282, 20130, 719, 12546, 573, 1354, 3364, 4950, 5108, 10084, 888, 3371, 2117, 188, 254, 18, 532, 4590, 15, 14, 2482, 26522, 669, 9756, 7186, 15, 16, 368, 274, 2858, 1362, 6761, 16, 4126, 3894, 254, 436, 15, 369, 28, 21204, 1683, 14, 14, 16, 9811, 2413, 3419, 12587, 975, 2133, 20521 ]
[ 1, 4633, 37026, 15, 407, 1516, 345, 5799, 9484, 11168, 254, 14253, 769, 16, 2731, 311, 1247, 12175, 254, 3134, 2142, 2086, 3, 29166, 432, 5271, 2501, 18461, 1702, 3134, 1623, 741, 2184, 769, 1756, 22223, 1294, 10849, 282, 16, 403, 45773, 16, 1931, 4221, 618, 282, 457, 274, 286, 286, 16, 282, 4062, 11042, 2703, 85, 274, 4003, 24202, 1720, 254, 417, 1218, 417, 457, 1649, 942, 750, 1603, 11690, 7500, 40671, 6143, 2144, 432, 394, 31394, 286, 4932, 282, 35367, 311, 15, 321, 1499, 14, 254, 512, 37764, 86, 311, 12985, 3611, 334, 272, 2193, 31771, 1503, 254, 3709, 642, 85, 615, 345, 3134, 274, 1017, 6400, 596, 274, 210, 395, 15857, 254, 286, 2449, 7417, 14, 43, 315, 1218, 695, 47077, 274, 643, 9917, 14, 1390, 587, 836, 327, 14, 250, 30026, 22509, 3116, 360, 3236, 16, 772, 3, 12333, 13555, 254, 22857, 286, 254, 353, 1499, 274, 70, 16, 343, 274, 286, 254, 26817, 641, 3629, 28943, 9902, 2142, 32153, 1903, 27189, 282, 4126, 3960, 343, 2843, 22120, 13318, 254, 560, 188, 398, 311, 3853, 1111, 666, 942, 15, 436, 587, 33, 188, 1008, 457, 254, 17404, 311, 666, 434, 21883, 401, 2692, 380, 663, 476, 3307, 324, 7754, 532, 14, 687, 1745, 3746, 353, 1789, 9856, 4966, 18171, 14, 14, 11903, 0, 274, 747, 10834, 7919, 3134, 2003, 34326, 6965, 16, 3437, 5166, 441, 4236, 5243, 587, 1863, 15, 729, 555, 457, 457, 22, 1033, 16, 86, 14, 457, 20689, 626, 1081, 286, 254, 333, 25695, 43, 14, 86, 9643, 769, 254, 3177, 4859, 5174, 10094, 360, 4313, 5964, 2843, 3461, 14, 14, 2703, 16, 407, 2921, 254, 345, 3, 1789, 254, 4859, 695, 254, 9901, 14, 11690, 310, 8853, 5243, 4701, 2843, 85, 3506, 3155, 18, 1702, 6787, 457, 14, 6919, 1572, 282, 3896, 248, 276, 423, 2141, 1315, 1845, 7739, 37867, 248, 580, 5485, 16, 2626, 14, 9902, 14, 28, 5416, 328, 5416, 37185, 1926, 669, 274, 254, 17000, 16, 25, 9587, 7693, 3520, 14, 713, 15, 11950, 274, 390, 34943, 1480, 324, 4703, 22189, 19495, 248, 9138, 28505, 254, 341, 33, 327, 417, 286, 18, 1836, 407, 596, 432, 25124, 748, 1315, 16, 353, 785, 368, 79, 21975, 2150, 666, 8232, 457, 41159, 274, 6702, 23975, 452, 254, 457, 2314, 18807, 8033, 310, 321, 17000, 23609, 1218, 2378, 16, 615, 12612, 328, 3802, 3, 4122, 254, 432, 16, 593, 12572, 15, 403, 16, 4245, 24373, 4945, 457, 8563, 248, 1397, 10672, 3506, 4541, 37764, 1789, 14, 380, 514, 615, 14, 282, 10871, 670, 5240, 2843, 324, 532, 286, 4525, 512, 29487, 4609, 1125, 3184, 756, 28943, 533, 254, 1495, 366, 512, 436, 276, 13555, 5278, 7739, 11800, 18, 282, 282, 7034, 368, 9529, 7685, 310, 85, 2314, 452, 3709, 2181, 311, 560, 570, 6363, 14, 942, 561, 328, 254, 4315, 307, 14851, 457, 5708, 432, 248, 212, 6062, 3989, 532, 2271, 9902, 2519, 3860, 348, 616, 282, 2028, 254, 23162, 17000, 663, 16, 436, 587, 374, 8608, 7467, 34326, 19, 11159, 369, 18, 13916, 5886, 27076, 5587, 368, 21625, 380, 8020, 12745, 593, 360, 324, 573, 2023, 3591, 254, 16, 436, 307, 942, 91, 34326, 286, 311, 2515, 596, 18, 38, 769, 39009, 15487, 593, 274, 348, 366, 22052, 407, 26521, 14, 3629, 457, 188, 3, 254, 1143, 2692, 742, 668, 1294, 6137, 29616, 2497, 3506, 188, 596, 14, 512, 1920, 826, 839, 18171, 25, 321, 282, 6690, 327, 254, 2811, 4701, 593, 254, 25588, 15572, 6686, 2142, 20, 33473, 1068, 254, 751, 328, 436, 9430, 3624, 7754, 7731, 1270, 742, 12744, 42118, 14, 1702, 254, 353, 2150, 22939, 818, 1499, 282, 1063, 2486, 666, 3134, 14, 274, 248, 772, 286, 286, 942, 3899, 30870, 276, 1384, 769, 2041, 533, 500, 188, 10849, 668, 16, 2572, 17000, 8089, 16, 282, 8764, 835, 14, 35475, 372, 31818, 9343, 11846, 353, 310, 14, 3051, 1129, 6450, 642, 248, 616, 33, 14, 843, 343, 1789, 1042, 29239, 441, 360, 285, 274, 43, 4501, 436, 286, 3257, 3956, 40671, 618, 3356, 85, 31806, 254, 343, 13382, 32354, 3320, 5416, 32646, 1972, 669, 6668, 1903, 403, 457, 2531, 1480, 729, 14, 374, 1887, 38984, 570, 643, 479, 276, 457, 14, 403, 22504, 387, 15023, 8109, 6296, 1470, 16, 570, 1649, 769, 254, 282, 188, 1926, 0, 9127, 324, 314, 743, 310, 286, 282, 18672, 380, 573, 839, 0, 1756, 2315, 307, 1602, 2532, 4203, 16030, 40583, 311, 14, 282, 3989, 407, 79, 1008, 317, 457, 3506, 2421, 772, 807, 360, 343, 20, 274, 327, 666, 276, 403, 15359, 387, 324, 18171, 3, 188, 2033, 16, 328, 943, 16, 13759, 1926, 2065, 360, 1081, 327, 286, 254, 274, 1247, 573, 324, 14, 769, 311, 2936, 532, 1028, 4318, 380, 3356, 6106, 627, 16, 310, 3, 45978, 16, 650, 79, 2304, 1585, 254, 272, 309, 14, 343, 8808, 10493, 670, 11690, 188, 16, 16, 5146, 4503, 843, 14, 3889, 830, 345, 942, 273, 441, 9584, 2893, 3506, 311, 310, 627, 7618, 16, 8468, 3, 34427, 324, 10770, 813, 380, 4317, 282, 15, 16, 17000, 2704, 587, 457, 6032, 368, 1836, 13166, 729, 616, 30695, 282, 374, 309, 8106, 6450, 282, 91, 188, 254, 5552, 41740, 769, 21716, 618, 254, 268, 274, 328, 14, 401, 1575, 563, 1577, 616, 188, 2626, 1931, 769, 1756, 49, 2703, 757, 11690, 286, 4107, 3134, 368, 1218, 248, 9282, 18, 276, 282, 324, 329, 2006, 310, 311, 26758, 14, 4701, 328, 2790, 570, 666, 85, 4236, 7303, 13351, 1258, 324, 9961, 476, 457, 839, 3257, 731, 29179, 1041, 510, 3074, 695, 1268, 3899, 14959, 3629, 4771, 28, 327, 457, 403, 254, 338, 18439, 3, 43, 5189, 512, 532, 441, 6069, 14, 310, 12148, 4343, 16, 619, 286, 8418, 8300, 407, 552, 1141, 19359, 436, 1577, 311, 2843, 1015, 10852, 627, 7739, 24373, 286, 609, 2350, 33, 13759, 15303, 1691, 1218, 9380, 16, 417, 16, 7731, 4474, 19, 5326, 282, 423, 713, 580, 6107, 1919, 733, 769, 403, 14, 18, 1181, 432, 843, 3518, 3831, 21741, 9654, 1181, 7779, 188, 307, 13166, 276, 34326, 39314, 2257, 310, 85, 32402, 286, 436, 254, 286, 28843, 417, 2003, 17000, 248, 276, 407, 801, 24, 282, 254, 38179, 188, 14, 403, 452 ]
[ 1, 591, 3933, 16, 1827, 65, 16, 281, 8316, 16247, 365, 365, 10, 187, 751, 13707, 69, 65, 7910, 65, 1358, 16, 29625, 1067, 65, 374, 286, 1714, 286, 423, 11, 1262, 16, 339, 4259, 188, 581, 3291, 16, 26, 188, 10000, 1262, 423, 23981, 802, 65, 16, 978, 1827, 8828, 65, 1827, 16916, 374, 417, 1554, 65, 1827, 16, 2012, 986, 1358, 187, 4559, 16, 751, 550, 10244, 37593, 1262, 4639, 592, 751, 684, 187, 684, 65, 3291, 1714, 27726, 1262, 16, 28, 534, 365, 1714, 417, 2668, 1262, 3434, 65, 603, 187, 339, 7910, 187, 37593, 986, 7079, 43384, 20, 2668, 867, 2739, 986, 65, 65, 187, 37593, 16, 187, 65, 6889, 978, 65, 802, 65, 16, 1369, 5499, 1262, 19585, 72, 10, 986, 16, 9, 187, 16689, 187, 72, 1827, 8163, 751, 65, 2823, 365, 17306, 42375, 2395, 10, 13707, 187, 2764, 1262, 10, 9, 1369, 2192, 2668, 16, 65, 14, 16, 784, 65, 95, 986, 347, 1714, 2668, 1510, 187, 1827, 1714, 65, 16916, 16, 3291, 12497, 42375, 4259, 1827, 187, 37593, 426, 301, 426, 6963, 16, 11, 365, 82, 187, 37593, 65, 187, 34126, 3839, 5541, 5310, 365, 95, 3929, 10, 42375, 16, 5734, 2668, 986, 1714, 65, 423, 65, 65, 65, 550, 37593, 751, 14, 65, 4259, 365, 31111, 9840, 16247, 28, 2668, 5541, 18, 188, 281, 187, 1510, 37593, 2012, 8626, 65, 321, 581, 14, 6914, 5805, 13707, 40570, 11, 2823, 5, 18293, 978, 16, 42375, 426, 16, 7910, 1262, 65, 1559, 3933, 10, 986, 37593, 426, 65, 1827, 751, 65, 21719, 534, 924, 339, 286, 6889, 2823, 2192, 978, 16916, 311, 426, 13707, 38931, 1554, 314, 1714, 9030, 14, 276, 784, 187, 31744, 16916, 187, 16, 14, 406, 65, 42375, 5734, 1369, 15738, 2668, 978, 1358, 65, 1067, 3839, 15018, 2573, 187, 784, 8037, 11865, 47536, 16, 7073, 9840, 65, 10, 270, 31, 3933, 365, 34448, 3238, 2012, 365, 188, 187, 19, 4259, 16, 2668, 187, 41353, 16, 978, 1827, 42375, 29625, 426, 365, 65, 187, 339, 34937, 187, 65, 18, 1067, 93, 187, 2855, 14, 187, 390, 2668, 270, 10, 72, 5805, 10, 19, 12088, 10, 2668, 2012, 2788, 1210, 65, 23051, 426, 423, 339, 978, 562, 31744, 2823, 4623, 1262, 7079, 1510, 16, 365, 2573, 187, 365, 187, 187, 2170, 2192, 16, 684, 1358, 187, 751, 17306, 2573, 9840, 65, 27682, 2192, 17241, 1358, 16, 8163, 1510, 10, 592, 37593, 10877, 65, 2668, 37593, 978, 395, 8064, 31311, 18164, 14, 37593, 47536, 262, 188, 5318, 958, 6914, 281, 37593, 14, 581, 188, 254, 286, 65, 34166, 65, 4559, 426, 16, 18, 2739, 2668, 14, 16, 1714, 187, 4639, 3929, 65, 2668, 34166, 65, 188, 17306, 16, 2668, 65, 17306, 21719, 6963, 37269, 65, 65, 28, 65, 65, 1714, 65, 72, 5310, 37593, 4259, 978, 1554, 29625, 1714, 423, 65, 16, 870, 1714, 477, 5310, 16, 187, 70, 311, 2989, 12166, 9867, 16916, 72, 684, 5310, 42375, 802, 3434, 270, 2788, 3291, 4559, 16, 927, 47, 2788, 65, 2788, 5318, 4623, 16, 339, 65, 2395, 2788, 14105, 34937, 16, 2012, 13863, 65, 1714, 10, 16906, 5318, 65, 2192, 2012, 5734, 187, 16, 8316, 16, 65, 9007, 1559, 16, 3933, 562, 188, 65, 1369, 1210, 543, 684, 95, 3200, 10, 65, 65, 65, 1369, 10409, 65, 978, 2224, 1067, 550, 10787, 10, 1356, 274, 12166, 3933, 2823, 282, 426, 28, 11, 4352, 188, 867, 65, 18, 82, 592, 11, 37593, 2668, 14927, 47147, 2668, 1460, 2573, 986, 38171, 2192, 1262, 801, 65, 14927, 188, 28, 784, 426, 16, 44648, 684, 4259, 2739, 10877, 65, 6505, 365, 3933, 0, 72, 42920, 187, 2668, 978, 10, 365, 26921, 4559, 986, 65, 19, 870, 426, 187, 1067, 28, 1262, 2823, 2360, 1262, 281, 592, 423, 2580, 1160, 10, 6799, 10, 65, 24769, 986, 7115, 4259, 1510, 1358, 270, 16916, 1358, 7771, 12899, 188, 187, 4259, 16, 291, 423, 534, 2668, 65, 2573, 1180, 42920, 95, 82, 5141, 592, 324, 11, 14018, 986, 2823, 1358, 65, 426, 16711, 1067, 47536, 14, 1827, 270, 6426, 15738, 534, 16, 6113, 65, 2012, 187, 42375, 2468, 1827, 390, 986, 187, 4259, 7443, 434, 65, 18, 16, 1714, 986, 4259, 5310, 21719, 37593, 65, 65, 270, 65, 86, 592, 2012, 10, 1827, 2823, 43384, 14927, 15, 423, 16916, 365, 16, 318, 65, 1714, 550, 1358, 270, 187, 270, 4259, 2170, 187, 65, 65, 1369, 1554, 270, 1964, 14, 339, 986, 37593, 16, 2240, 791, 2192, 12702, 16711, 339, 2012, 28, 37593, 16, 390, 1067, 16, 270, 7771, 1714, 270, 1369, 34937, 550, 1827, 426, 1262, 2668, 365, 5734, 915, 1827, 4259, 37593, 5141, 2468, 21787, 14, 365, 42375, 16916, 2395, 14439, 187, 5805, 426, 1827, 4639, 11865, 581, 365, 423, 4259, 5811, 65, 31311, 2668, 14, 274, 34937, 16, 10244, 318, 65, 14, 1827, 65, 339, 986, 6426, 65, 37593, 1714, 426, 16, 14, 4352, 978, 1714, 1067, 1827, 629, 16, 1262, 2823, 34937, 16916, 365, 423, 784, 2012, 65, 5, 5, 20, 14612, 65, 986, 978, 12166, 2012, 2012, 37593, 16, 187, 1817, 591, 4259, 11162, 751, 29625, 42375, 16, 2012, 2573, 270, 8163, 23, 65, 188, 870, 278, 16, 751, 426, 95, 188, 16, 339, 28, 12166, 187, 29625, 65, 65, 187, 187, 10, 2012, 65, 5310, 65, 72, 4259, 47536, 477, 534, 65, 5141, 592, 592, 16, 18723, 534, 16, 187, 11, 16, 986, 2668, 16, 16, 65, 2668, 4259, 2386, 423, 65, 6426, 270, 4259, 2192, 1160, 65, 31744, 3163, 17306, 1262, 16, 417, 1262, 438, 65, 986, 187, 188, 37593, 16, 187, 321, 28, 653, 4259, 10877, 339, 26731, 4259, 1262, 2668, 8866, 65, 6703, 37134, 927, 188, 9840, 2192, 550, 16, 16, 42375, 591, 1076, 423, 1358, 1559, 314, 5141, 3933, 870, 986, 10787, 2573, 311, 2192, 16, 22673, 31744, 2823, 417, 187, 1510, 751, 1262, 751, 3291, 1262, 1042, 14, 37593, 21719, 4259, 2668, 65, 8316, 34777, 318, 1262, 5318, 16, 187, 14, 1510, 2668, 1554, 65, 16916, 401, 629, 16, 1358, 31, 16, 28, 65, 276, 18830, 534, 37593, 16, 1262, 751, 187, 11947, 65, 339, 28, 8357, 324, 65, 918, 65, 187, 48052, 65, 10, 3291, 4356, 10877, 1714, 591, 37593, 65, 65, 2573, 1714 ]
[ 1, 818, 6592, 14, 476, 343, 2156, 16, 807, 713, 22022, 46361, 18130, 1076, 28702, 353, 3267, 28702, 532, 368, 3267, 1612, 16, 580, 254, 278, 9993, 248, 188, 3267, 888, 16, 16, 14, 22136, 5711, 286, 5587, 274, 10077, 32891, 7020, 2755, 1708, 338, 331, 16, 374, 29083, 31952, 3364, 2764, 282, 286, 42941, 6592, 3547, 3267, 279, 6592, 6762, 9748, 15, 3575, 747, 368, 513, 35377, 41011, 248, 328, 286, 10494, 3809, 254, 5527, 321, 14, 254, 343, 12028, 6592, 286, 310, 27453, 7225, 16637, 16, 403, 603, 15082, 476, 328, 276, 248, 16, 2292, 679, 687, 6951, 603, 254, 321, 2056, 18088, 282, 513, 731, 6856, 270, 14, 6002, 3225, 18088, 3783, 608, 512, 311, 188, 274, 618, 13033, 324, 254, 1906, 10800, 9530, 327, 6592, 713, 14, 8272, 10494, 11021, 2838, 390, 12100, 1008, 286, 38691, 282, 26556, 38627, 26745, 7779, 4277, 3837, 278, 282, 7242, 8934, 22022, 807, 324, 47399, 633, 15042, 14, 1002, 1102, 254, 7148, 4282, 274, 310, 254, 1934, 274, 31790, 580, 254, 688, 254, 11842, 1640, 274, 18, 11021, 3673, 26556, 1516, 17981, 374, 1708, 17981, 14, 16, 282, 457, 18127, 353, 368, 804, 248, 254, 2035, 324, 28490, 310, 29083, 15895, 1057, 1578, 1395, 452, 274, 713, 1499, 452, 353, 343, 1041, 18, 310, 353, 532, 573, 16, 248, 3176, 14, 3783, 2499, 2049, 188, 14, 353, 254, 30913, 14, 508, 2314, 16031, 7444, 17555, 2734, 254, 835, 1181, 27325, 274, 2035, 274, 5587, 14114, 512, 4370, 254, 17772, 929, 747, 188, 248, 17941, 16, 248, 16, 14014, 10109, 16, 188, 286, 310, 1012, 343, 1230, 343, 286, 16, 2371, 4370, 633, 254, 6886, 26471, 6592, 1948, 254, 3834, 310, 6592, 5835, 10300, 269, 282, 321, 282, 2541, 11021, 688, 452, 22, 14, 353, 188, 7596, 282, 4682, 6592, 826, 343, 35377, 248, 14, 811, 14, 16, 22, 6522, 14, 670, 27, 3964, 3267, 188, 390, 1906, 650, 13242, 343, 254, 1903, 7242, 16111, 16, 2151, 279, 24004, 3176, 16, 8461, 286, 3050, 14209, 282, 10476, 695, 4682, 248, 23947, 1002, 14, 2522, 282, 282, 403, 593, 6592, 6592, 321, 705, 254, 2035, 4112, 713, 6268, 1623, 4313, 1851, 1603, 2035, 282, 16, 16, 11295, 21661, 282, 286, 599, 2819, 286, 889, 532, 254, 7012, 476, 353, 18, 3082, 248, 4277, 368, 865, 215, 254, 254, 14014, 4611, 580, 17981, 633, 282, 683, 43, 22022, 188, 408, 3267, 286, 2150, 3, 15400, 4948, 367, 274, 26471, 2541, 1395, 274, 1887, 671, 16, 1863, 8272, 5835, 13810, 3425, 248, 6734, 3845, 14, 436, 12028, 14, 1708, 282, 16, 6592, 343, 3290, 390, 17941, 2298, 254, 14, 16, 188, 188, 312, 368, 43, 3364, 248, 21471, 286, 6913, 276, 16, 282, 0, 939, 5919, 33007, 811, 327, 6592, 7011, 254, 23, 2499, 254, 596, 7148, 3056, 452, 3783, 15, 1143, 13810, 1157, 2736, 368, 7012, 731, 254, 1269, 311, 254, 348, 282, 85, 20327, 274, 16, 4122, 4571, 30116, 16, 818, 286, 16, 353, 188, 20327, 310, 380, 12386, 18, 532, 368, 311, 1368, 686, 7444, 580, 311, 2875, 452, 286, 3095, 254, 1041, 17, 248, 7385, 10494, 4013, 12386, 16, 747, 254, 1091, 276, 254, 330, 618, 276, 2819, 633, 3843, 11021, 311, 286, 282, 279, 42729, 36, 1903, 7444, 10493, 254, 4349, 2292, 368, 5532, 688, 1063, 15732, 286, 4220, 447, 12902, 324, 1619, 23991, 5835, 4282, 41650, 343, 16, 1903, 272, 327, 13461, 5194, 26808, 11842, 14, 6592, 310, 254, 1464, 33415, 28927, 314, 282, 17892, 6592, 248, 368, 1579, 16, 5787, 14114, 6592, 20885, 4682, 476, 1773, 286, 408, 7148, 3936, 618, 374, 3575, 688, 7613, 3159, 85, 18, 12815, 4564, 254, 16, 8680, 14, 811, 43320, 16, 835, 3267, 254, 11309, 4277, 10858, 368, 26855, 188, 2552, 30582, 4646, 3267, 286, 436, 7242, 348, 4032, 188, 1708, 286, 16637, 31293, 6453, 6069, 328, 16, 2035, 15, 286, 31239, 11176, 248, 4780, 18072, 248, 274, 6762, 16, 16, 555, 16, 6592, 1081, 626, 28059, 835, 282, 4513, 324, 818, 1111, 286, 3167, 73, 286, 1316, 3267, 36473, 1111, 624, 282, 1934, 14, 11842, 14, 403, 2718, 254, 254, 1623, 3055, 749, 16, 1773, 1906, 10077, 448, 20327, 248, 811, 1093, 8106, 282, 7596, 3267, 5816, 2228, 12581, 3096, 11805, 7444, 1497, 17460, 668, 254, 276, 11021, 3575, 286, 2342, 669, 14859, 1603, 327, 327, 13810, 282, 603, 512, 1497, 4682, 25, 6762, 650, 671, 1181, 10083, 188, 85, 13810, 32955, 3393, 286, 395, 1877, 16, 254, 254, 42828, 586, 4010, 2552, 1863, 248, 671, 1330, 7017, 4476, 248, 5568, 18088, 1062, 278, 10408, 818, 3575, 12514, 8240, 807, 7008, 3191, 1464, 1619, 14, 16, 11842, 46728, 14, 248, 1642, 15, 26, 16, 432, 26719, 14, 688, 274, 2764, 12309, 1516, 4277, 1395, 16, 4432, 869, 343, 310, 20561, 2875, 20, 18432, 85, 11295, 188, 3694, 16, 286, 16, 37463, 343, 1619, 20790, 1074, 282, 248, 4611, 23, 713, 1637, 15, 12264, 16, 42896, 286, 18088, 1831, 16, 20327, 496, 42941, 276, 1746, 688, 6592, 311, 826, 4277, 254, 282, 1497, 8240, 14, 2445, 16, 248, 1143, 6592, 13688, 5934, 963, 0, 948, 408, 1619, 4647, 1041, 639, 603, 343, 4244, 3284, 688, 286, 311, 188, 327, 30187, 2029, 27523, 532, 16, 276, 929, 1604, 13242, 311, 835, 254, 16, 633, 6592, 276, 19, 1999, 324, 26552, 2450, 476, 26471, 1002, 328, 248, 23947, 188, 1931, 1480, 18, 687, 274, 1041, 16, 4962, 248, 364, 343, 14, 274, 274, 274, 6622, 6268, 3267, 328, 1640, 282, 254, 3267, 286, 390, 248, 19, 1603, 286, 14, 6592, 248, 215, 9567, 4475, 603, 12902, 31929, 188, 6214, 748, 14, 248, 20255, 13688, 282, 248, 7250, 85, 37496, 801, 3065, 3709, 4244, 747, 16111, 21471, 286, 7444, 20, 248, 9530, 368, 13242, 23983, 254, 20327, 188, 254, 188, 18470, 818, 1921, 807, 10673, 286, 17, 555, 4282, 6856, 254, 3834, 811, 580, 353, 16, 286, 756, 17941, 328, 9748, 18, 6592, 21548, 278, 276, 13242, 10037, 1863, 713, 27559, 2502, 14, 7444, 11380, 11021, 2558, 7012, 2819, 40, 286, 254, 1863, 14, 33, 282, 3809, 14, 1041, 1934, 573, 3034, 2741, 5787, 8240, 368, 30913, 390, 22681, 900, 3783, 254, 16, 16, 719, 3783, 16, 532 ]
[ 1, 33441, 23352, 944, 254, 5603, 14, 20419, 311, 1397, 0, 254, 961, 16, 21475, 18552, 4644, 9985, 8776, 503, 261, 15296, 353, 254, 252, 274, 272, 348, 3798, 19, 274, 596, 343, 2820, 6640, 961, 254, 16, 1470, 248, 14, 282, 8350, 388, 23626, 20782, 254, 2182, 3324, 20292, 441, 310, 16, 1842, 1501, 513, 20782, 1899, 25148, 628, 274, 1065, 3681, 580, 432, 254, 254, 1081, 33, 87, 14, 248, 7223, 188, 1438, 1041, 33685, 5415, 43603, 21765, 6741, 310, 279, 6013, 248, 254, 14, 9027, 457, 3096, 338, 274, 188, 276, 36444, 24, 22195, 2803, 18, 432, 0, 597, 7315, 14318, 2778, 353, 282, 11552, 457, 6640, 7927, 775, 16, 35703, 9169, 328, 273, 1125, 6545, 9159, 21150, 457, 2658, 555, 6365, 14452, 41985, 668, 27, 915, 3066, 23309, 14, 16, 4043, 248, 457, 1903, 8462, 14, 14, 12254, 14, 1397, 11126, 769, 345, 16, 403, 1501, 8468, 54, 16551, 24901, 282, 9970, 633, 643, 274, 1028, 41118, 15, 20419, 8683, 274, 14, 532, 30532, 1682, 2094, 345, 14378, 375, 338, 42364, 835, 314, 448, 2714, 446, 16, 1063, 262, 13027, 1395, 1464, 2875, 5603, 1873, 580, 10948, 974, 274, 7161, 826, 374, 254, 45190, 476, 68, 10299, 15013, 286, 512, 494, 13386, 324, 666, 286, 5042, 1012, 1283, 10120, 12882, 1838, 24727, 286, 3442, 624, 188, 5594, 18687, 85, 254, 257, 338, 769, 750, 3134, 16, 276, 729, 282, 2906, 254, 12033, 14, 311, 324, 443, 348, 18136, 369, 11772, 254, 254, 666, 14, 5066, 932, 14, 7682, 2258, 274, 16, 24465, 271, 45980, 3286, 865, 390, 274, 5062, 369, 85, 3928, 7042, 327, 1501, 1024, 616, 1038, 3521, 318, 11313, 85, 11427, 609, 29021, 38559, 1842, 7034, 2341, 745, 254, 3512, 8930, 286, 633, 21574, 4254, 274, 254, 8185, 19349, 457, 2778, 7465, 248, 925, 390, 16, 248, 16, 582, 14, 13039, 3998, 17, 408, 1156, 407, 16, 23163, 14, 8221, 769, 10297, 401, 18400, 6121, 628, 304, 10868, 18, 3442, 668, 9243, 16, 311, 14, 6179, 286, 900, 5330, 254, 819, 3626, 1303, 33383, 279, 9970, 2251, 276, 8862, 12810, 1464, 15, 848, 750, 368, 11313, 274, 29778, 441, 0, 4024, 254, 3054, 1049, 8773, 25, 369, 580, 1064, 288, 274, 408, 18546, 434, 28446, 18, 23857, 9023, 286, 3857, 9564, 1052, 1045, 14, 16, 16, 14, 67, 10062, 14970, 944, 15, 16700, 274, 67, 769, 974, 4349, 1311, 28108, 16, 254, 1499, 1336, 2646, 16, 276, 14, 2884, 1572, 6117, 85, 457, 769, 616, 19, 5930, 12810, 248, 22858, 276, 616, 2057, 282, 1657, 7296, 3326, 274, 580, 85, 16442, 1321, 14, 368, 324, 885, 29618, 747, 16, 286, 16, 282, 348, 1869, 1848, 2803, 368, 555, 4043, 663, 9152, 248, 23431, 2114, 10629, 19653, 13317, 23156, 2225, 89, 1181, 5888, 254, 5281, 282, 8029, 24463, 9339, 20023, 14960, 19285, 2532, 16, 403, 1444, 286, 1041, 2869, 8892, 286, 867, 6650, 13846, 272, 14, 276, 683, 1849, 16700, 25857, 2069, 254, 345, 12810, 42792, 250, 3, 368, 2532, 772, 6866, 15, 688, 561, 7034, 17670, 14, 86, 633, 915, 16, 380, 687, 670, 19224, 286, 2584, 353, 14, 254, 9299, 11909, 276, 85, 16, 432, 343, 16761, 403, 10746, 18, 14, 343, 369, 14, 23588, 811, 248, 35043, 633, 1018, 390, 4117, 801, 17250, 15614, 1012, 24781, 624, 701, 20419, 1824, 348, 4186, 20782, 3992, 16, 25370, 21108, 406, 27, 5603, 254, 46158, 9804, 6636, 9, 16832, 33, 670, 1464, 432, 483, 746, 3447, 348, 9512, 4606, 4959, 324, 41802, 286, 16, 16, 41, 4855, 457, 14256, 633, 43107, 12676, 14, 282, 1926, 23345, 16, 282, 25, 1856, 374, 457, 360, 15, 274, 286, 15, 276, 1544, 4945, 3229, 282, 27345, 15842, 33620, 12810, 311, 9057, 25989, 5603, 14, 14, 1093, 6450, 368, 23748, 380, 14, 276, 7385, 248, 324, 830, 1919, 3805, 3637, 286, 1527, 345, 12622, 4099, 27034, 2028, 666, 269, 274, 2865, 14, 338, 955, 9596, 1083, 272, 1948, 701, 403, 7365, 14375, 47589, 925, 12952, 33, 35043, 2075, 276, 29778, 16, 311, 19, 18796, 286, 248, 261, 321, 432, 5304, 46555, 286, 2936, 8944, 333, 1350, 3233, 6486, 457, 6139, 254, 14, 276, 254, 2424, 21108, 248, 47313, 11313, 282, 85, 16161, 3278, 18806, 7724, 274, 1640, 14, 394, 4945, 555, 12178, 286, 254, 1343, 457, 328, 24901, 4315, 27, 311, 5603, 5172, 86, 324, 8070, 830, 418, 603, 5172, 747, 7702, 254, 32280, 24901, 14, 11570, 457, 2174, 7242, 6964, 380, 4718, 3585, 282, 28629, 607, 8895, 11092, 1422, 357, 22538, 14141, 2818, 4349, 46158, 276, 3297, 9823, 6486, 380, 1842, 15, 35225, 11842, 1683, 14, 24465, 20969, 276, 624, 24465, 14, 457, 360, 328, 643, 4859, 1926, 26815, 248, 311, 5602, 18687, 2875, 4740, 7904, 8442, 248, 769, 1842, 432, 3616, 4426, 274, 4945, 13027, 18, 9219, 15141, 254, 3418, 25053, 286, 343, 749, 6158, 10602, 17028, 496, 345, 286, 276, 262, 15910, 447, 3541, 15, 282, 669, 353, 47, 15, 11313, 19659, 4087, 496, 2803, 9150, 18, 18275, 9289, 20558, 5604, 7671, 286, 561, 274, 274, 2165, 274, 276, 2119, 7575, 6234, 12810, 276, 456, 311, 282, 2057, 16832, 1608, 247, 254, 4489, 6105, 39504, 452, 16, 254, 338, 274, 14, 24901, 380, 6244, 3520, 276, 568, 2449, 6037, 390, 254, 11236, 26594, 20813, 1665, 6519, 11126, 348, 6997, 2941, 2025, 13245, 909, 254, 30741, 254, 387, 1479, 330, 328, 254, 3255, 433, 304, 1321, 671, 14, 11408, 4255, 327, 343, 324, 91, 16700, 11789, 276, 4667, 348, 4043, 14, 16, 188, 18, 16, 14, 283, 925, 587, 41955, 20, 19653, 248, 16, 616, 607, 274, 282, 274, 753, 28499, 282, 16, 1183, 274, 14, 276, 328, 5604, 7417, 345, 32589, 2380, 254, 1171, 254, 74, 1041, 3520, 11849, 769, 387, 13791, 2778, 282, 7213, 1215, 1397, 3297, 436, 10864, 5320, 14, 250, 3286, 254, 5522, 18, 272, 304, 16, 15, 14, 403, 2162, 843, 1018, 3408, 32160, 2069, 17486, 4945, 311, 3626, 6515, 254, 254, 6100, 248, 1594, 353, 286, 3567, 32368, 15819, 8776, 3916, 254, 38688, 38688, 913, 555, 6754, 254, 16, 31736, 16, 274, 454, 807, 1056, 3427, 3737, 254, 248, 11088, 1397, 1919, 18, 369, 9887, 11637, 2653, 25, 1143, 7156, 769, 2520, 551, 19659, 3396 ]
[ 1, 314, 254, 3690, 1838, 4462, 476, 7495, 387, 457, 751, 403, 14, 276, 330, 19076, 0, 248, 8832, 2102, 2142, 390, 18, 15, 10047, 276, 248, 4400, 47115, 1460, 16, 1395, 643, 0, 16, 274, 11088, 563, 188, 4615, 30717, 15183, 30843, 353, 16, 282, 7656, 188, 4087, 282, 86, 3449, 343, 731, 3367, 343, 826, 1577, 40472, 1683, 276, 2244, 248, 14, 254, 20824, 0, 1860, 8869, 3148, 390, 6151, 6612, 286, 4, 37761, 15, 11201, 1362, 11423, 1519, 8767, 403, 5294, 6166, 476, 16, 10407, 347, 6015, 254, 0, 265, 2379, 276, 807, 7306, 254, 13597, 603, 18418, 4360, 434, 9587, 4682, 671, 688, 7413, 27965, 14, 1093, 839, 286, 31759, 9375, 2150, 254, 7065, 17377, 6264, 24362, 282, 388, 610, 3831, 75, 597, 1451, 1683, 633, 668, 42120, 1115, 33, 1499, 1315, 30585, 5514, 1491, 282, 407, 2546, 476, 456, 25, 14890, 1834, 188, 282, 5392, 9138, 997, 303, 615, 32591, 29467, 16, 496, 286, 1596, 2150, 248, 274, 256, 34092, 14463, 324, 12757, 248, 471, 495, 495, 434, 1005, 276, 327, 763, 25308, 3513, 2635, 282, 563, 254, 286, 328, 343, 16, 16, 16, 286, 254, 2014, 15510, 12321, 327, 476, 327, 16, 16, 14029, 974, 4313, 2705, 688, 1577, 8832, 7976, 2102, 1479, 282, 9582, 1379, 369, 16, 1148, 8901, 40870, 13868, 4539, 3379, 248, 16, 286, 607, 14, 34092, 16, 32659, 14, 286, 580, 9587, 2254, 24634, 368, 4987, 274, 0, 274, 318, 3616, 9205, 15545, 9350, 961, 2150, 3379, 1553, 13597, 2094, 17561, 1850, 1027, 39832, 7540, 3616, 387, 274, 7754, 2630, 8117, 368, 7204, 872, 5614, 3532, 4244, 14982, 655, 628, 713, 6151, 31158, 248, 9804, 13618, 1395, 2133, 8189, 282, 16, 2102, 254, 747, 587, 513, 411, 3853, 43289, 272, 19753, 282, 743, 1368, 597, 5210, 573, 21121, 2099, 276, 596, 7204, 1354, 298, 311, 188, 2365, 282, 2489, 14, 16, 21314, 16, 1656, 713, 1033, 417, 1361, 274, 16, 1834, 836, 1673, 434, 1495, 9844, 1594, 374, 428, 2245, 254, 282, 327, 403, 1575, 380, 282, 16, 274, 2602, 3449, 343, 2014, 4285, 254, 555, 33753, 311, 274, 801, 2245, 282, 3148, 4503, 596, 282, 9377, 3648, 16, 3831, 16, 900, 13028, 188, 1035, 12453, 16, 16, 1125, 436, 20934, 2342, 811, 15945, 19, 254, 5455, 759, 954, 2033, 272, 3830, 29143, 5210, 16, 3132, 327, 1063, 274, 18, 274, 282, 1354, 311, 3184, 353, 254, 311, 1596, 31386, 188, 3290, 15, 9844, 40357, 4940, 286, 14625, 15911, 304, 4250, 18522, 348, 663, 2028, 3800, 42526, 869, 2640, 869, 12757, 274, 2048, 14, 17318, 16, 839, 3, 20583, 18, 1575, 254, 282, 2982, 7780, 603, 4188, 4188, 7358, 16, 248, 30843, 22, 254, 4285, 3097, 713, 14, 8850, 1026, 254, 2244, 272, 9287, 7950, 1683, 963, 9587, 274, 16, 91, 39786, 348, 1362, 8649, 4851, 286, 695, 1862, 368, 254, 13597, 353, 751, 1596, 428, 44937, 387, 248, 1026, 596, 9184, 1183, 510, 91, 713, 3790, 1725, 38825, 6648, 188, 16, 188, 826, 345, 655, 1395, 265, 5416, 3327, 2245, 7306, 324, 276, 3533, 369, 1464, 32482, 8850, 407, 338, 12638, 3, 33, 25480, 3830, 254, 6319, 8943, 282, 254, 1860, 3159, 12353, 17260, 5267, 11827, 18693, 14790, 18, 2828, 4835, 4828, 4806, 3139, 7306, 2429, 3802, 33, 1575, 248, 1434, 8195, 274, 1863, 254, 10046, 5150, 4, 532, 1354, 1683, 343, 343, 1708, 5237, 19195, 16, 7966, 343, 439, 928, 597, 14, 188, 6981, 254, 819, 19851, 12183, 7834, 248, 14490, 307, 248, 3783, 513, 6166, 713, 7103, 390, 8850, 248, 807, 1040, 286, 347, 4895, 407, 16, 254, 633, 248, 2099, 1183, 867, 274, 7732, 668, 20583, 11235, 254, 751, 188, 398, 448, 5210, 774, 328, 31592, 368, 668, 22131, 1015, 747, 1799, 5736, 2622, 1017, 8571, 2430, 580, 274, 390, 15562, 4028, 10186, 1106, 485, 3427, 274, 9898, 188, 375, 9844, 276, 555, 14982, 25131, 188, 248, 14982, 593, 254, 44937, 387, 14, 641, 276, 742, 276, 4122, 40357, 338, 254, 407, 6865, 21331, 1238, 3491, 1917, 16449, 248, 748, 825, 954, 4311, 282, 13906, 3184, 428, 2066, 5656, 4578, 248, 368, 1834, 16, 5416, 4619, 2245, 321, 802, 1278, 1657, 586, 11917, 248, 1042, 91, 254, 16481, 749, 286, 4609, 14, 36540, 4539, 2014, 248, 603, 532, 928, 16, 44937, 276, 2584, 580, 416, 5942, 16, 2523, 2382, 695, 679, 7798, 512, 11100, 2065, 28, 14890, 347, 47, 20583, 826, 44315, 3352, 1385, 311, 14, 600, 248, 36121, 274, 327, 4124, 254, 254, 2150, 353, 12321, 2023, 1582, 2732, 48088, 1441, 353, 513, 24, 16837, 1395, 27868, 641, 28150, 38, 286, 3831, 21971, 276, 311, 18, 282, 624, 265, 276, 11898, 276, 977, 2014, 1206, 719, 2014, 16, 2626, 14, 282, 422, 2150, 14, 417, 390, 2705, 807, 37761, 254, 14, 19859, 2055, 580, 742, 4756, 370, 17036, 353, 1575, 188, 1683, 282, 1689, 13597, 5210, 48088, 3379, 668, 387, 4822, 286, 510, 390, 407, 84, 4, 476, 254, 12453, 276, 4703, 7793, 17427, 2244, 4, 2065, 16609, 686, 615, 555, 6545, 11983, 14, 311, 763, 16, 311, 27965, 272, 2367, 254, 1268, 8832, 11213, 1017, 633, 417, 188, 1336, 254, 749, 1850, 975, 1575, 282, 19851, 248, 5017, 15, 33, 1525, 282, 254, 7793, 286, 272, 343, 615, 32211, 16, 5237, 370, 1860, 263, 3313, 552, 254, 512, 411, 14, 605, 6319, 16, 2949, 8686, 16, 44954, 14860, 13708, 12432, 997, 9832, 1238, 254, 1689, 14, 4539, 353, 3918, 5157, 368, 254, 258, 282, 16, 3616, 8677, 5416, 15943, 368, 6936, 16, 31346, 13112, 8131, 10274, 10149, 36932, 2482, 19655, 19973, 11761, 2411, 3616, 13597, 512, 286, 0, 77, 5081, 14910, 348, 324, 3393, 286, 14664, 282, 1834, 2357, 3533, 12572, 24326, 3139, 633, 434, 254, 4864, 1026, 14505, 12757, 2876, 2099, 27701, 2150, 282, 6064, 963, 19886, 311, 1354, 343, 1017, 520, 748, 28, 1794, 14, 254, 2332, 3616, 5337, 368, 8850, 3442, 254, 16, 343, 7732, 324, 286, 188, 436, 343, 5237, 748, 254, 20, 11567, 1444, 5256, 272, 7771, 3055, 19929, 24839, 348, 403, 587, 668, 4, 555, 40357, 10849, 427, 669, 6499, 14982, 265, 2014, 1860, 3918, 1499, 14, 7282, 16, 2519, 35035, 274, 1160, 5692, 11, 276, 286, 282, 3224, 3155, 24873, 4024 ]
[ 1, 248, 38, 14, 2802, 274, 4859, 19753, 327, 274, 40291, 5925, 254, 12309, 348, 597, 1482, 21767, 324, 3360, 22904, 939, 28837, 38331, 9676, 8353, 16, 14287, 5846, 587, 282, 12290, 282, 532, 14287, 282, 826, 360, 7274, 368, 23, 10417, 457, 9916, 16, 254, 502, 38, 8476, 417, 12136, 5650, 282, 436, 643, 3699, 1181, 42209, 42106, 23054, 32464, 4577, 14, 3064, 282, 2779, 2057, 18, 11887, 2269, 3265, 14, 25030, 81, 254, 1830, 360, 254, 2875, 348, 1336, 14, 324, 343, 311, 348, 42106, 3268, 24658, 18205, 2211, 20567, 6362, 282, 274, 311, 7943, 436, 900, 12309, 4817, 380, 944, 368, 1116, 1921, 3227, 669, 31512, 321, 499, 1944, 18398, 254, 2269, 38331, 5419, 18639, 328, 1212, 14287, 8071, 3831, 360, 254, 254, 353, 21177, 20188, 0, 839, 311, 311, 1017, 8444, 387, 39418, 3, 18247, 8227, 255, 254, 555, 1873, 16140, 452, 47854, 248, 274, 3095, 360, 38331, 40291, 286, 2427, 254, 28837, 512, 603, 282, 403, 248, 403, 282, 436, 12592, 24170, 774, 248, 872, 1574, 346, 387, 2497, 5945, 1038, 24656, 86, 274, 5686, 254, 835, 254, 1074, 41560, 274, 8367, 2023, 368, 3238, 86, 1116, 1840, 10359, 9302, 254, 5439, 1574, 276, 254, 609, 14, 2508, 6930, 3112, 276, 633, 5247, 188, 286, 3831, 9115, 668, 14, 641, 276, 9806, 3462, 772, 3418, 687, 3780, 3278, 2875, 457, 591, 254, 14, 5123, 497, 38331, 27469, 24170, 254, 1426, 15, 3555, 282, 865, 4823, 7273, 8745, 618, 9717, 343, 24739, 14, 9804, 432, 368, 4684, 1847, 441, 3506, 7304, 45962, 16, 3, 5247, 774, 15, 14, 2731, 819, 353, 1613, 915, 452, 641, 1181, 274, 11146, 7045, 327, 5285, 368, 6333, 16, 343, 16624, 254, 362, 380, 360, 254, 2374, 16, 46534, 18, 274, 254, 248, 23315, 6458, 2942, 872, 324, 282, 10944, 5937, 276, 324, 495, 38331, 7826, 4081, 16, 668, 1212, 343, 2563, 248, 14, 1448, 16354, 641, 1613, 248, 18, 2497, 276, 14, 368, 1479, 324, 310, 44836, 14, 282, 4153, 188, 10573, 21471, 683, 276, 278, 1162, 19, 1162, 398, 1533, 248, 1903, 286, 958, 274, 587, 2042, 282, 1788, 3026, 16, 1640, 321, 452, 254, 4665, 348, 499, 273, 286, 14, 14, 452, 1068, 1247, 42106, 324, 4679, 14, 3869, 32612, 2456, 254, 43408, 274, 447, 248, 37818, 533, 4822, 14, 33823, 428, 18, 274, 248, 2347, 476, 1580, 4105, 398, 6499, 428, 10665, 1683, 23098, 476, 1525, 3, 1350, 5166, 32612, 368, 633, 248, 3089, 311, 282, 21231, 1860, 14, 15803, 21, 16, 452, 32612, 8270, 16, 2865, 695, 843, 2949, 286, 28211, 14, 286, 11078, 0, 251, 34514, 633, 476, 276, 4652, 248, 8425, 1068, 2591, 3015, 282, 6429, 14231, 751, 282, 668, 3134, 324, 436, 14, 21406, 2718, 20428, 1091, 10573, 16, 1193, 11078, 521, 14036, 16, 3284, 4626, 14, 633, 665, 8334, 276, 888, 14, 27469, 633, 28108, 2104, 1144, 3858, 17692, 626, 18550, 826, 16, 7943, 390, 248, 671, 1286, 390, 251, 457, 19923, 1026, 16, 286, 327, 1444, 1788, 807, 659, 248, 188, 609, 18, 4024, 748, 4112, 2497, 555, 961, 343, 85, 33, 1903, 4326, 403, 2918, 432, 1659, 3432, 6326, 2677, 274, 889, 633, 1921, 4679, 15, 743, 15516, 13468, 2811, 254, 5534, 16, 368, 348, 274, 512, 772, 38331, 2324, 282, 555, 8617, 85, 14, 18804, 273, 10473, 18, 883, 14, 669, 2023, 32071, 255, 248, 14036, 286, 2501, 286, 11661, 3005, 286, 3189, 980, 4260, 282, 4817, 1683, 15620, 31584, 2868, 2758, 274, 476, 593, 89, 772, 324, 633, 713, 939, 7943, 14, 343, 715, 811, 609, 1285, 9382, 839, 274, 495, 311, 16, 16, 436, 307, 368, 4269, 9865, 748, 2501, 4662, 8715, 368, 774, 963, 26660, 18, 1733, 8597, 974, 282, 615, 360, 16, 713, 28561, 811, 8480, 314, 713, 2758, 408, 327, 16, 12309, 348, 1640, 975, 28208, 3627, 3541, 18217, 32412, 390, 286, 248, 457, 11078, 368, 324, 7966, 276, 4445, 4112, 368, 743, 254, 16, 4654, 568, 4704, 633, 5322, 324, 353, 1248, 441, 1612, 321, 14, 324, 2304, 27469, 2254, 3869, 390, 254, 366, 14, 1773, 457, 272, 16911, 248, 9711, 1391, 7061, 86, 16, 353, 43408, 33638, 286, 328, 254, 35692, 5925, 286, 25862, 1241, 324, 1872, 5819, 286, 2214, 14, 2966, 311, 282, 615, 624, 16, 10610, 603, 328, 276, 1648, 327, 10007, 452, 26011, 731, 2558, 3034, 3074, 593, 4136, 2014, 2660, 3408, 328, 14, 7030, 16, 14, 286, 273, 286, 16, 40980, 39684, 368, 14, 476, 16, 13202, 254, 328, 254, 282, 23504, 248, 289, 6465, 3015, 311, 6699, 642, 3038, 512, 16, 390, 254, 18, 40697, 9611, 513, 254, 6939, 14, 86, 368, 5537, 282, 5094, 1061, 1755, 2042, 476, 888, 38331, 282, 286, 18609, 30120, 311, 311, 188, 254, 2066, 2367, 386, 38718, 23176, 1603, 16, 16, 254, 3106, 13790, 457, 2512, 15270, 368, 8712, 1989, 328, 1843, 248, 75, 343, 368, 633, 3783, 254, 44126, 368, 30120, 286, 348, 4251, 1837, 9863, 802, 22317, 254, 29, 387, 2758, 42209, 248, 14, 1863, 15, 286, 474, 807, 254, 274, 785, 457, 282, 248, 457, 1840, 311, 2591, 6069, 254, 321, 436, 343, 46191, 12870, 6304, 380, 282, 398, 14463, 13057, 1034, 286, 403, 254, 254, 4168, 4311, 17865, 5309, 282, 390, 353, 14, 11402, 626, 274, 254, 774, 38, 286, 432, 603, 3227, 40598, 2374, 327, 274, 311, 1015, 2843, 5447, 286, 248, 772, 436, 255, 2158, 254, 10419, 2782, 705, 980, 274, 2876, 286, 16, 4024, 85, 811, 254, 254, 5328, 38331, 9720, 254, 254, 8227, 20, 1211, 274, 580, 1530, 3418, 665, 16, 3258, 665, 2539, 254, 743, 8132, 248, 457, 254, 1862, 368, 13922, 4848, 2449, 274, 17036, 282, 1062, 615, 7100, 368, 7363, 286, 3103, 15, 8093, 690, 2960, 286, 2257, 368, 28319, 14, 254, 633, 398, 1090, 16, 2365, 2533, 597, 580, 286, 3970, 22, 6211, 15219, 872, 254, 12343, 729, 2778, 248, 18, 603, 476, 85, 327, 457, 2508, 348, 3284, 593, 12796, 15931, 1125, 85, 5166, 274, 3672, 368, 3432, 4603, 432, 254, 12309, 2408, 3, 452, 9927, 15409, 422, 254, 3944, 6949, 16, 14, 14712, 254, 12343, 20029, 274, 785, 324, 286, 14492, 772, 282, 3551, 286, 255, 5289, 6199, 2214, 15, 25068 ]
[ 1, 254, 9542, 14635, 2314, 688, 9812, 286, 775, 327, 4606, 1384, 457, 41, 603, 15650, 457, 580, 1847, 18146, 14, 15650, 457, 7290, 32736, 580, 1141, 15650, 3, 6986, 411, 2950, 286, 44781, 457, 14, 254, 1115, 431, 47438, 1254, 86, 2003, 576, 46695, 34090, 457, 6724, 282, 1347, 367, 24472, 1544, 16, 16, 327, 54, 1582, 626, 188, 321, 19159, 457, 35311, 390, 16, 16, 1038, 580, 596, 3826, 41645, 9807, 3147, 16, 937, 636, 1268, 512, 14, 4254, 2909, 188, 79, 2115, 331, 1153, 23898, 10863, 328, 13710, 9472, 254, 42314, 188, 22790, 35358, 14, 1796, 16, 369, 254, 1591, 16, 839, 282, 47401, 188, 13203, 26538, 12339, 7933, 18, 576, 282, 6636, 254, 22713, 3166, 33, 53, 16, 23641, 13264, 10428, 276, 1157, 1093, 8998, 2350, 48, 321, 731, 38440, 618, 8474, 1051, 1856, 29405, 14834, 4815, 354, 310, 2909, 387, 618, 663, 1643, 310, 3069, 889, 310, 937, 23898, 750, 188, 35971, 348, 16, 21356, 1374, 473, 369, 14, 14, 6470, 16, 865, 1779, 5766, 6268, 4141, 324, 3605, 85, 4738, 7743, 573, 16933, 18983, 6474, 16, 14, 3977, 254, 1789, 85, 443, 3, 27873, 310, 3240, 353, 807, 2282, 19835, 452, 476, 618, 670, 8927, 254, 1096, 16, 8500, 5499, 942, 7806, 16, 1090, 368, 254, 36598, 2978, 282, 15169, 1547, 7233, 33212, 476, 16, 310, 327, 16, 457, 1787, 1791, 457, 188, 10428, 417, 323, 274, 254, 248, 18335, 54, 282, 561, 5475, 1212, 54, 17932, 39977, 3965, 457, 1384, 310, 3368, 35668, 50, 16683, 254, 457, 626, 2909, 1141, 14, 786, 2722, 29202, 597, 3686, 14635, 6470, 282, 274, 2909, 8283, 14, 16177, 70, 16933, 2824, 751, 7933, 1663, 16, 327, 40465, 13763, 1787, 457, 5769, 476, 37, 3760, 5947, 35, 1661, 1051, 188, 6104, 1122, 16, 188, 457, 16, 248, 34211, 188, 16, 282, 563, 457, 37050, 11021, 8910, 457, 2909, 15663, 1045, 330, 2289, 188, 18058, 2222, 18498, 38440, 3402, 527, 38440, 7946, 1469, 15997, 626, 2866, 1503, 254, 16, 17932, 14703, 36497, 16, 7634, 5684, 7743, 457, 16, 596, 39410, 512, 1505, 282, 380, 2780, 16, 457, 47, 43, 387, 331, 1505, 7806, 1051, 687, 1547, 14, 16, 86, 3368, 8927, 48175, 9010, 309, 4902, 16, 47, 2909, 16, 16, 5669, 27268, 310, 59, 2501, 310, 2909, 1842, 671, 14138, 21356, 942, 4143, 188, 353, 188, 5230, 2350, 1244, 39790, 626, 40624, 24412, 37649, 2119, 15650, 254, 3376, 21569, 85, 282, 497, 8500, 2187, 5675, 1311, 327, 7184, 16, 997, 687, 16, 452, 2932, 27309, 26868, 13380, 16, 5998, 573, 16, 457, 457, 457, 16, 6956, 310, 670, 626, 276, 274, 16, 53, 1619, 932, 1051, 254, 16, 16, 3222, 7575, 5592, 31214, 807, 15907, 452, 380, 16, 751, 2610, 2554, 252, 627, 457, 37795, 40624, 1033, 5478, 328, 11169, 18564, 16, 310, 974, 310, 330, 4948, 327, 867, 188, 33, 59, 85, 1115, 276, 16226, 85, 85, 1141, 1505, 15473, 388, 46303, 274, 937, 360, 310, 1982, 731, 18335, 2646, 47241, 1438, 26313, 444, 188, 369, 2909, 10244, 324, 457, 9787, 687, 254, 512, 324, 5976, 650, 44815, 16, 23898, 276, 8139, 6931, 1578, 188, 36936, 9524, 811, 85, 1143, 25212, 593, 368, 254, 188, 8143, 25669, 13203, 254, 310, 251, 1311, 4234, 16, 2909, 53, 369, 27873, 188, 14, 670, 254, 323, 43, 21765, 16, 188, 1469, 42314, 2560, 369, 310, 12860, 900, 3686, 354, 2554, 39410, 85, 286, 276, 369, 3699, 16, 53, 9314, 1493, 310, 274, 432, 563, 328, 33, 282, 1906, 457, 26274, 323, 323, 10250, 254, 7325, 1791, 37654, 14, 13187, 9678, 7634, 16, 16726, 1364, 53, 86, 4141, 16, 39790, 6107, 16, 1285, 286, 254, 3977, 188, 310, 1643, 14975, 28507, 3, 11775, 40744, 418, 9542, 254, 16, 418, 432, 3116, 47458, 27873, 2849, 2278, 33, 563, 331, 26313, 5858, 8500, 188, 2909, 6414, 3122, 286, 6086, 2707, 254, 16, 274, 26327, 403, 15014, 3944, 687, 16, 282, 321, 5061, 27309, 34134, 8474, 310, 4314, 40, 596, 43, 747, 3222, 3, 18058, 16, 16, 254, 8474, 31550, 7806, 33269, 1334, 3414, 28584, 30994, 416, 23467, 1643, 188, 9542, 343, 4634, 32009, 36497, 188, 85, 1364, 33, 452, 8958, 3760, 274, 14, 1503, 14864, 457, 310, 457, 8500, 6645, 3368, 3789, 751, 14711, 254, 417, 2932, 4438, 811, 16933, 2003, 1427, 188, 330, 16436, 6268, 30404, 14, 811, 1499, 33, 248, 811, 16, 1122, 43343, 4764, 441, 457, 563, 3602, 573, 1663, 1093, 276, 2110, 2378, 345, 4252, 286, 1970, 457, 2856, 16, 1661, 457, 457, 3732, 16, 17307, 28610, 2056, 16959, 457, 388, 16, 14, 2707, 7537, 248, 14, 596, 835, 57, 1029, 937, 33212, 286, 35335, 33, 9844, 36497, 596, 4677, 29363, 3069, 33, 21659, 4141, 8283, 2909, 6234, 1354, 1547, 9658, 811, 14780, 188, 20138, 497, 9199, 310, 16, 286, 282, 452, 1122, 86, 16177, 10316, 4842, 748, 21356, 327, 6231, 309, 1691, 44781, 353, 266, 286, 3977, 286, 354, 980, 188, 418, 367, 37224, 42314, 16, 323, 1442, 10358, 188, 8474, 24472, 10340, 1286, 41645, 44767, 29202, 1878, 8667, 2950, 276, 2003, 248, 16, 1362, 7341, 323, 17130, 248, 354, 411, 2003, 1230, 18, 626, 1260, 4738, 457, 2834, 729, 254, 811, 286, 10894, 254, 70, 16, 86, 9844, 282, 3789, 368, 188, 38671, 387, 330, 311, 16, 254, 4448, 327, 10428, 53, 2856, 7946, 7341, 529, 19178, 43, 248, 457, 54, 457, 4738, 6754, 59, 310, 188, 618, 11437, 18, 573, 596, 282, 353, 452, 15, 16, 476, 937, 10854, 4834, 25020, 7743, 34134, 4497, 188, 16, 5498, 16, 85, 3368, 11264, 10863, 14864, 16, 310, 5153, 3789, 4045, 2278, 254, 353, 1230, 16, 10854, 3885, 20044, 682, 8283, 21659, 900, 310, 85, 729, 33974, 7743, 310, 10445, 619, 977, 16, 4251, 16531, 11534, 13981, 3222, 7575, 457, 1354, 4762, 44664, 4762, 12486, 670, 4834, 188, 57, 7217, 38671, 328, 369, 779, 9807, 3, 457, 9452, 16, 286, 9807, 10428, 1026, 12420, 16531, 16, 27309, 43147, 2342, 3789, 1339, 31220, 188, 6396, 8500, 34134, 41943, 310, 1390, 8474, 310, 188, 3428, 16, 933, 23342, 3602, 16, 1374, 1779, 8474, 39977, 2231, 43, 18, 30811, 7806, 8910, 23342, 10316, 20044, 1176, 42844, 5167, 10894, 1547, 411, 343, 14, 532, 187, 10870, 324, 360 ]
[ 1, 248, 252, 328, 42370, 22, 7608, 472, 324, 19, 2131, 4212, 2819, 387, 1078, 324, 15, 318, 274, 6939, 254, 30372, 252, 14, 2819, 331, 5138, 9129, 1110, 394, 15, 16, 2965, 473, 1110, 10187, 2965, 14, 596, 9652, 254, 6830, 1599, 20, 1599, 2819, 1903, 331, 597, 48040, 7046, 2965, 16160, 751, 369, 2956, 254, 19, 457, 21, 188, 3461, 286, 418, 18429, 1110, 267, 888, 472, 272, 85, 884, 274, 5138, 254, 3074, 573, 1305, 1250, 16, 2674, 7887, 17726, 751, 841, 1305, 687, 687, 24, 85, 12178, 1115, 570, 925, 14351, 8165, 4886, 22, 1423, 328, 6830, 869, 16, 9652, 457, 276, 43666, 254, 11374, 32186, 19763, 1495, 286, 11837, 315, 14, 314, 416, 8138, 407, 324, 687, 2948, 4717, 16669, 14, 314, 79, 17220, 248, 597, 1673, 28, 472, 26, 2654, 331, 11, 609, 85, 407, 9086, 274, 2819, 432, 1302, 252, 282, 1758, 5619, 566, 17220, 457, 14000, 252, 2004, 2965, 1758, 15536, 18, 457, 20450, 12178, 472, 1495, 597, 373, 525, 37941, 254, 609, 16, 252, 1110, 338, 2568, 328, 188, 4966, 581, 4966, 53, 15, 34345, 581, 23037, 16, 2125, 898, 472, 888, 47994, 576, 373, 16, 506, 343, 32186, 597, 22771, 457, 7887, 14, 457, 71, 7156, 1081, 328, 566, 1051, 25982, 22772, 483, 2607, 16, 416, 2755, 1903, 16, 14, 248, 470, 15, 1015, 687, 841, 2819, 18, 2367, 566, 286, 44016, 22132, 9249, 374, 3280, 888, 12178, 338, 506, 3864, 3364, 15906, 328, 417, 6701, 353, 14, 39188, 16, 4717, 444, 188, 254, 7830, 581, 374, 14, 9652, 324, 1282, 4873, 610, 2125, 254, 407, 25982, 597, 939, 16, 2819, 3894, 248, 254, 1903, 42407, 3894, 959, 2131, 25982, 7830, 28376, 297, 254, 444, 252, 254, 5166, 16, 1649, 3648, 566, 2214, 561, 323, 12178, 533, 18679, 1110, 607, 16, 374, 282, 1115, 14297, 11027, 254, 252, 963, 472, 369, 19, 2948, 15, 324, 11837, 314, 28376, 324, 286, 12178, 1110, 18, 14, 16, 532, 15, 407, 2755, 849, 324, 1157, 17726, 750, 331, 14, 2948, 374, 314, 813, 963, 14, 276, 254, 11374, 457, 30941, 9903, 9652, 670, 9418, 254, 750, 472, 4886, 18, 4886, 1938, 17220, 3901, 4886, 71, 1599, 5615, 37941, 380, 888, 8012, 71, 267, 802, 314, 15, 7410, 38543, 39273, 18, 4886, 1599, 16, 19, 2819, 85, 343, 652, 254, 354, 25, 343, 286, 28376, 4590, 394, 44016, 19, 671, 14517, 343, 14, 4886, 12092, 252, 4212, 394, 1385, 1976, 2640, 254, 28, 18, 32930, 276, 16, 14, 387, 6522, 1525, 1385, 254, 1939, 268, 7410, 593, 17220, 14351, 5459, 314, 6494, 4886, 15, 286, 324, 2966, 436, 254, 378, 2819, 848, 254, 30229, 662, 10110, 9373, 248, 1226, 10620, 959, 314, 324, 252, 248, 282, 4886, 255, 20, 444, 1874, 3894, 16, 473, 1934, 5302, 248, 532, 374, 500, 24, 5198, 20869, 248, 7168, 671, 248, 2569, 328, 2795, 15906, 4467, 286, 4886, 34076, 282, 338, 15, 1302, 1862, 432, 2965, 330, 9650, 813, 743, 286, 4598, 581, 248, 1063, 276, 2350, 1903, 378, 16, 19, 343, 1545, 248, 576, 30372, 525, 1599, 14, 18, 11958, 10423, 330, 42407, 324, 597, 2125, 436, 15, 2630, 374, 26, 496, 28376, 399, 607, 272, 282, 8251, 683, 18, 14, 338, 963, 23683, 297, 16, 656, 1599, 252, 495, 387, 286, 21847, 275, 374, 473, 252, 869, 596, 3648, 19, 581, 2948, 276, 252, 7887, 5288, 6701, 286, 1758, 18, 20, 1874, 2819, 343, 2057, 841, 28376, 10990, 16, 4212, 328, 30277, 17267, 869, 7110, 17220, 2965, 2584, 1919, 14, 4168, 85, 20, 53, 16, 729, 401, 254, 3864, 6650, 338, 53, 286, 12178, 3648, 457, 615, 21, 248, 3522, 532, 15, 1110, 15990, 2965, 26, 343, 286, 16, 21, 6830, 18, 282, 6956, 13488, 1689, 801, 963, 4590, 72, 276, 14, 473, 394, 607, 1081, 254, 338, 849, 32375, 506, 10932, 15373, 576, 343, 21847, 14, 4168, 898, 1649, 324, 23274, 39188, 286, 1903, 841, 841, 267, 9471, 2630, 1051, 2819, 5338, 286, 16, 28766, 14297, 85, 4717, 248, 607, 71, 18, 21, 609, 18429, 343, 624, 254, 533, 801, 378, 274, 44016, 15, 11837, 4467, 6830, 16, 688, 328, 1480, 343, 580, 1874, 2630, 331, 14, 2046, 5619, 17220, 2125, 2640, 506, 8621, 432, 254, 532, 1143, 4717, 9676, 324, 1330, 264, 16, 5325, 4168, 343, 328, 4400, 1470, 21, 532, 272, 466, 22132, 254, 532, 248, 12178, 331, 4467, 254, 248, 282, 274, 12178, 15, 11, 338, 21, 14073, 16, 597, 1315, 44016, 254, 324, 315, 1922, 22771, 3444, 2819, 473, 2704, 378, 699, 3269, 330, 14, 732, 852, 16, 12319, 1599, 643, 338, 436, 14, 248, 5675, 286, 5527, 756, 286, 12180, 7168, 750, 472, 373, 457, 16, 18, 472, 315, 30941, 2948, 520, 331, 91, 2965, 338, 21, 1143, 343, 841, 472, 401, 532, 343, 275, 248, 4886, 28376, 6140, 11982, 14266, 2318, 323, 785, 1250, 16, 248, 374, 16, 2704, 14, 2965, 663, 481, 1110, 444, 7452, 7887, 686, 268, 7110, 399, 282, 282, 13091, 16, 2099, 338, 2350, 1837, 4966, 580, 254, 4634, 5018, 338, 1110, 417, 1758, 2948, 282, 432, 19, 641, 650, 5288, 248, 16, 15990, 6936, 14, 687, 650, 3364, 2569, 5330, 444, 9756, 314, 432, 28376, 4886, 2214, 7110, 275, 2099, 286, 2755, 11027, 1495, 282, 42407, 416, 286, 7410, 671, 248, 188, 2956, 248, 3198, 1110, 324, 248, 314, 10690, 2873, 248, 18475, 14, 282, 343, 8165, 328, 14517, 627, 4255, 72, 16, 750, 254, 282, 188, 627, 338, 16, 318, 5293, 14, 9823, 4590, 17220, 9652, 286, 6548, 1863, 416, 16, 8318, 1599, 14484, 5742, 315, 15583, 2144, 1599, 28393, 9249, 282, 394, 597, 16, 17220, 1468, 401, 254, 43099, 2819, 495, 188, 248, 16028, 15, 432, 22512, 286, 4717, 14, 1110, 254, 452, 3155, 254, 12178, 16, 1364, 11837, 3864, 254, 254, 7787, 274, 5338, 328, 3522, 427, 20, 328, 1599, 254, 5048, 5288, 17220, 19, 1110, 254, 19, 308, 16, 1938, 500, 1226, 282, 457, 5138, 15906, 2956, 473, 324, 4824, 268, 28376, 53, 6106, 1631, 497, 6494, 28376, 248, 5459, 742, 323, 607, 3522, 4467, 9779, 9086, 14, 16, 3831, 14517, 581, 267, 1302, 21847, 254, 21847, 10690, 343, 254, 276, 497, 2496, 687 ]
[ 1, 3227, 28150, 188, 2347, 7934, 254, 597, 5333, 2966, 14456, 457, 560, 274, 6636, 40422, 417, 188, 368, 314, 633, 31254, 15281, 729, 826, 5309, 254, 282, 254, 671, 368, 286, 3236, 38076, 1683, 512, 16, 695, 13218, 324, 13868, 254, 2674, 19, 18938, 1041, 274, 7934, 2960, 3584, 457, 457, 348, 324, 3294, 4678, 5357, 4916, 14, 3407, 14, 321, 5520, 311, 282, 417, 12136, 12840, 286, 619, 1062, 587, 41357, 872, 360, 1143, 3895, 706, 772, 282, 747, 17973, 188, 942, 633, 19639, 324, 24587, 2497, 323, 324, 555, 7528, 282, 706, 706, 274, 15803, 282, 276, 4917, 5411, 14, 8670, 360, 353, 86, 14, 16258, 5411, 282, 16, 555, 254, 10849, 286, 587, 1800, 86, 4177, 343, 2124, 286, 276, 254, 12136, 254, 282, 3607, 4236, 4052, 7411, 14036, 4901, 324, 328, 6987, 403, 747, 513, 11007, 18631, 1788, 274, 274, 2211, 6311, 20, 276, 3134, 254, 254, 17677, 1683, 14, 2485, 327, 16258, 633, 41357, 387, 16, 2824, 14, 343, 7934, 3867, 26226, 3280, 2072, 57, 7996, 360, 5066, 1042, 254, 12963, 327, 254, 390, 14, 16, 3867, 274, 20243, 436, 11754, 248, 5537, 14, 16258, 254, 4678, 4925, 17963, 403, 2080, 188, 476, 8752, 9848, 248, 282, 16, 12136, 3606, 3134, 2041, 643, 328, 16, 71, 360, 3831, 14, 1842, 274, 18858, 254, 35, 2780, 248, 615, 17932, 533, 314, 44759, 373, 2298, 1862, 4615, 5537, 6956, 706, 440, 282, 16, 16, 555, 31244, 338, 321, 2280, 997, 7918, 624, 633, 4829, 16364, 16, 41144, 436, 16, 1444, 3867, 311, 5742, 706, 286, 5374, 5784, 282, 188, 6508, 286, 671, 650, 23984, 4387, 671, 343, 10281, 4344, 11911, 5603, 254, 7779, 390, 348, 286, 369, 4829, 4678, 254, 254, 254, 3109, 10077, 555, 368, 16065, 343, 188, 286, 254, 2072, 13078, 14, 530, 8434, 1431, 5320, 16, 9611, 2075, 311, 254, 641, 18657, 1525, 286, 14, 3944, 324, 13078, 1490, 324, 8718, 457, 348, 8034, 390, 7012, 248, 21718, 9828, 86, 43281, 3184, 276, 30263, 20, 1842, 254, 348, 4500, 286, 758, 274, 282, 17973, 16, 11318, 282, 323, 14, 590, 5837, 5520, 961, 3867, 368, 12507, 1837, 13078, 3555, 286, 348, 4829, 5537, 7053, 1903, 4489, 619, 274, 7012, 13078, 0, 345, 323, 2876, 802, 8022, 25369, 16, 2858, 2072, 1068, 671, 255, 2030, 4010, 286, 7057, 8930, 1316, 2885, 20, 12534, 16, 36968, 282, 11754, 251, 3006, 2662, 254, 6508, 31746, 461, 286, 3637, 32227, 6343, 19927, 17272, 1612, 3233, 18590, 4044, 3248, 512, 633, 387, 12129, 1826, 1500, 282, 7012, 286, 274, 327, 254, 3133, 11728, 15886, 9124, 665, 4506, 254, 254, 286, 327, 2554, 4236, 1665, 18, 29618, 14456, 619, 18, 12136, 282, 7885, 1479, 1606, 1934, 188, 11754, 1438, 282, 2114, 839, 188, 5709, 576, 476, 347, 729, 1276, 1242, 2609, 16, 343, 2304, 274, 3835, 2014, 34852, 1285, 353, 286, 6257, 254, 321, 254, 452, 8164, 2875, 248, 7923, 5070, 533, 403, 86, 1949, 282, 10031, 348, 457, 3083, 15, 457, 30063, 282, 12136, 327, 3570, 7012, 1683, 254, 353, 390, 14456, 16943, 1583, 188, 7262, 6021, 15629, 16, 3095, 387, 286, 457, 40679, 24912, 4279, 282, 282, 7779, 274, 15, 683, 603, 17677, 5537, 7012, 597, 30328, 2554, 16, 2142, 12136, 17677, 889, 12136, 10510, 457, 4, 324, 368, 20150, 390, 282, 86, 7012, 457, 2624, 327, 1305, 14430, 555, 4153, 254, 16258, 16, 276, 14, 3202, 510, 4578, 30328, 282, 2159, 2114, 282, 254, 576, 16943, 248, 1665, 3418, 9008, 665, 255, 1062, 944, 368, 12136, 4236, 321, 1402, 16, 772, 11, 380, 36532, 3260, 248, 9124, 14, 1286, 254, 254, 37329, 2028, 7976, 254, 974, 624, 17677, 1516, 17973, 7918, 47156, 751, 4236, 633, 38, 311, 5058, 1505, 1260, 1286, 41357, 933, 563, 254, 3134, 282, 3097, 14, 318, 3944, 14, 2042, 6454, 42606, 16, 2427, 3551, 12454, 4242, 669, 9241, 436, 282, 254, 282, 1949, 1838, 353, 802, 9241, 3709, 603, 14, 5088, 2430, 513, 274, 1612, 265, 3944, 331, 1683, 2706, 248, 417, 2013, 16, 368, 24970, 1040, 85, 3269, 254, 4916, 641, 384, 7012, 434, 41144, 276, 1479, 633, 3, 747, 1041, 4948, 974, 513, 3555, 407, 6136, 7012, 436, 671, 360, 311, 13709, 353, 4472, 286, 348, 2992, 30328, 2056, 1748, 1395, 254, 274, 12343, 248, 16780, 457, 3071, 353, 324, 16, 11982, 8434, 10193, 5088, 9714, 3831, 368, 282, 353, 343, 5537, 348, 481, 188, 368, 10089, 4154, 20804, 4236, 452, 29, 13496, 16, 8670, 434, 9241, 3983, 1068, 85, 282, 2056, 254, 17720, 1276, 85, 321, 14, 368, 9270, 747, 2662, 11911, 254, 12136, 348, 2110, 254, 624, 16, 537, 311, 16, 12728, 274, 327, 324, 3790, 47109, 323, 836, 2353, 16, 343, 1207, 14, 26239, 1038, 417, 417, 597, 457, 6128, 867, 872, 31244, 4772, 3134, 14, 17677, 13709, 254, 11891, 324, 1919, 3280, 576, 311, 561, 7934, 4566, 10516, 15485, 4558, 6418, 327, 3867, 14, 8876, 17111, 390, 188, 751, 670, 4061, 665, 772, 20150, 0, 2512, 254, 327, 17677, 9241, 670, 14874, 188, 7934, 9241, 353, 20804, 16258, 20, 624, 16, 3688, 254, 16, 7934, 2041, 4703, 276, 11754, 7629, 4552, 3997, 5088, 26239, 3944, 1033, 380, 311, 369, 706, 254, 555, 282, 3551, 1074, 14, 3134, 314, 248, 276, 1830, 7254, 2142, 327, 512, 276, 3149, 17111, 15834, 286, 2042, 8102, 17973, 642, 31244, 872, 1143, 457, 2530, 16, 16, 274, 85, 4793, 255, 30328, 4110, 16, 5577, 9117, 274, 47708, 391, 3435, 318, 2014, 248, 14, 18229, 286, 8888, 2219, 11754, 16381, 85, 336, 327, 2958, 3944, 31244, 1423, 555, 751, 265, 2966, 403, 16, 7262, 2609, 4154, 3621, 188, 7923, 7262, 7012, 3699, 14, 2245, 1041, 188, 255, 15, 254, 248, 31244, 273, 5340, 1683, 1911, 7317, 368, 1497, 650, 282, 311, 4678, 71, 3134, 324, 254, 254, 14, 4665, 16, 5088, 5701, 16, 14, 3134, 3555, 9865, 248, 11, 398, 16637, 977, 14, 16, 16, 1225, 33791, 12136, 961, 16, 18616, 1002, 899, 977, 643, 272, 7012, 188, 6616, 368, 286, 254, 282, 10516, 248, 368, 324, 624, 16, 1278, 719, 510, 1460, 10031, 1062, 2214, 311, 282, 1311, 2104, 2072, 5028, 321, 369, 561, 872, 15820, 1683, 1330, 14, 1665, 276, 555, 5937, 85, 1865 ]
[ 1, 626, 17159, 944, 327, 625, 11348, 931, 2963, 5494, 8721, 343, 11311, 1491, 6215, 188, 276, 931, 1602, 274, 248, 1115, 310, 4904, 633, 254, 17011, 417, 188, 4793, 715, 32364, 555, 23780, 16, 73, 1219, 328, 555, 8106, 839, 24304, 5885, 2413, 21195, 16, 286, 282, 343, 2102, 343, 10092, 276, 3510, 1012, 2298, 1129, 650, 1012, 248, 188, 7898, 512, 452, 1321, 8074, 2214, 772, 411, 668, 596, 390, 4273, 643, 15057, 596, 561, 1051, 2706, 811, 3830, 45534, 3830, 748, 15554, 282, 17511, 6407, 254, 2809, 324, 16582, 403, 2797, 2602, 663, 274, 324, 14, 4731, 869, 16, 33254, 593, 633, 3695, 2430, 11284, 14, 642, 587, 2063, 843, 407, 6921, 258, 282, 663, 5690, 3885, 16, 10624, 10268, 454, 3759, 324, 3427, 15633, 403, 403, 14, 3830, 14, 311, 587, 248, 353, 465, 628, 1574, 14, 274, 561, 16, 9165, 360, 444, 8292, 1125, 3427, 12815, 324, 276, 274, 254, 1733, 3885, 254, 839, 327, 368, 4975, 345, 286, 368, 311, 20, 928, 626, 254, 706, 282, 555, 327, 368, 1219, 1523, 6407, 2489, 8292, 417, 4282, 286, 615, 347, 390, 5256, 248, 4171, 2048, 14104, 1862, 4171, 29418, 16, 403, 4273, 811, 3184, 2797, 597, 286, 380, 403, 254, 2501, 328, 2033, 7378, 14, 23965, 26877, 2602, 1391, 2159, 3783, 1648, 15181, 2501, 282, 16, 16, 6428, 188, 73, 248, 452, 839, 14, 665, 286, 942, 254, 43, 2282, 14, 671, 729, 328, 1817, 354, 4596, 15867, 713, 2809, 313, 686, 16, 6705, 3989, 274, 254, 452, 836, 2902, 1495, 327, 3781, 327, 4282, 16, 14, 8353, 428, 452, 642, 286, 2666, 1523, 532, 3029, 8815, 16, 23805, 436, 1219, 21456, 913, 311, 351, 1362, 436, 248, 7997, 4094, 274, 254, 4203, 21756, 17243, 15402, 248, 16, 14, 73, 6407, 4205, 24193, 3916, 665, 447, 29635, 494, 4698, 626, 295, 1354, 510, 14, 606, 6407, 3802, 324, 2024, 14, 2779, 2079, 889, 4373, 407, 23780, 668, 188, 16, 5830, 274, 9921, 53, 282, 12224, 263, 327, 2371, 1247, 17689, 2260, 835, 668, 369, 2355, 5256, 248, 596, 748, 6407, 388, 16, 3695, 6177, 311, 16, 272, 865, 1815, 4602, 452, 3364, 19, 7573, 3510, 889, 6407, 19049, 1125, 248, 14377, 14, 22184, 23805, 1037, 16, 310, 7512, 1368, 274, 4936, 3577, 2563, 1305, 10092, 311, 2033, 6407, 14, 282, 327, 347, 327, 1603, 888, 5925, 254, 374, 2449, 13599, 747, 254, 254, 7234, 286, 2342, 1102, 12446, 274, 276, 4171, 16, 1037, 3029, 418, 790, 0, 282, 5130, 985, 282, 310, 772, 6607, 2508, 7919, 434, 6407, 327, 977, 390, 16, 633, 311, 3802, 254, 248, 12224, 593, 29418, 532, 1648, 327, 6851, 286, 4126, 16, 43, 960, 282, 311, 2811, 931, 14, 1544, 16, 30343, 276, 16, 282, 7997, 188, 188, 282, 362, 16, 2063, 772, 3029, 2194, 286, 6125, 16, 4, 11793, 985, 4273, 15813, 254, 311, 0, 457, 4282, 328, 24209, 12387, 276, 865, 9630, 1516, 513, 633, 2079, 4205, 889, 10266, 658, 2749, 274, 743, 1307, 915, 19702, 6215, 24, 8292, 6450, 390, 12495, 4975, 286, 663, 254, 14, 729, 282, 5885, 274, 351, 11330, 311, 14, 5897, 254, 282, 3684, 3783, 327, 324, 785, 570, 254, 274, 39903, 4073, 25, 561, 274, 254, 614, 16, 618, 5630, 16, 573, 3134, 1219, 624, 743, 403, 8575, 476, 282, 9024, 494, 843, 5234, 18214, 2355, 633, 749, 254, 555, 618, 7383, 418, 786, 351, 1044, 16, 2814, 254, 2666, 1339, 417, 751, 254, 327, 14, 254, 254, 785, 22041, 6930, 22070, 254, 4273, 839, 286, 3258, 282, 8272, 282, 3624, 311, 937, 188, 275, 254, 14, 2602, 45534, 276, 274, 321, 14, 16, 2774, 6407, 353, 2133, 282, 14, 10213, 668, 811, 529, 22176, 3699, 85, 931, 324, 1958, 8252, 274, 4248, 668, 476, 282, 33254, 282, 73, 286, 4484, 650, 772, 327, 883, 6945, 338, 311, 641, 403, 417, 276, 3856, 16, 516, 328, 2554, 27087, 282, 16, 452, 561, 4273, 4205, 580, 5130, 3684, 21273, 286, 248, 248, 410, 274, 286, 2072, 6407, 282, 713, 956, 1903, 248, 1885, 937, 282, 353, 3446, 4405, 407, 529, 12471, 2706, 2902, 248, 27495, 16, 830, 14, 7028, 33, 1247, 276, 839, 33, 8791, 390, 3006, 2023, 12224, 327, 747, 282, 16, 24, 913, 2511, 2966, 327, 254, 311, 830, 403, 282, 1307, 6407, 11793, 8758, 254, 17243, 1012, 311, 1924, 14, 669, 825, 254, 2048, 44, 10949, 7234, 997, 963, 2102, 248, 310, 282, 276, 26877, 286, 942, 11903, 417, 324, 8426, 310, 286, 2508, 14, 16, 6267, 1575, 663, 276, 254, 11751, 327, 3915, 353, 274, 368, 248, 6267, 321, 948, 16, 687, 2511, 248, 3981, 1012, 9155, 772, 427, 933, 254, 304, 889, 4445, 5885, 28695, 25441, 4475, 669, 31672, 5309, 18, 4242, 3364, 29201, 742, 4273, 6407, 5968, 596, 16, 17011, 8292, 1797, 3577, 727, 18292, 3248, 6407, 347, 512, 41819, 25441, 272, 663, 16, 2306, 3781, 353, 12570, 276, 276, 1037, 669, 3830, 4242, 248, 2350, 748, 1017, 45534, 610, 282, 2706, 729, 254, 40176, 1038, 3435, 4856, 18, 3860, 2966, 286, 1115, 11425, 942, 10217, 272, 3860, 2355, 188, 971, 36213, 883, 282, 16085, 2119, 4987, 388, 457, 2956, 16, 7028, 310, 2443, 39001, 2115, 348, 476, 4622, 6407, 3570, 33, 3830, 748, 1963, 5156, 272, 254, 327, 14, 4805, 274, 282, 248, 942, 16, 19144, 29228, 14, 8143, 4337, 188, 403, 417, 16, 9311, 274, 274, 360, 4273, 513, 513, 14, 434, 2072, 16, 327, 2462, 286, 2378, 2501, 328, 321, 3409, 403, 4953, 593, 593, 39900, 4171, 7898, 4094, 9234, 23780, 276, 282, 250, 2191, 665, 3830, 31693, 603, 6122, 274, 15813, 19, 19645, 45753, 3856, 22, 747, 25, 10072, 1544, 1012, 956, 436, 39903, 328, 7195, 9073, 3446, 1903, 1564, 22096, 463, 16, 16, 3844, 836, 282, 4975, 615, 274, 40343, 3964, 282, 772, 1612, 286, 282, 1815, 282, 3831, 596, 513, 3621, 22286, 286, 254, 2033, 3446, 368, 3029, 328, 615, 4474, 347, 390, 311, 248, 1316, 274, 9929, 327, 254, 282, 1336, 0, 248, 452, 2554, 2501, 17939, 16, 2038, 5234, 2023, 931, 650, 417, 351, 263, 1782, 23866, 286, 16, 2797, 369, 2075, 10780, 16, 16, 1330, 403, 4731, 5309, 4126, 17522, 8520, 254 ]
[ 1, 1842, 321, 3835, 14, 276, 22189, 6700, 432, 1068, 254, 1090, 695, 4047, 311, 274, 16, 387, 254, 1032, 327, 14, 14, 22, 188, 16, 19, 4095, 888, 22, 2154, 16, 22770, 274, 7504, 44034, 3367, 276, 22, 387, 19657, 663, 321, 15599, 16, 282, 8075, 254, 7504, 22, 19, 338, 254, 4205, 274, 85, 16, 2320, 300, 2057, 254, 20, 4665, 470, 683, 8659, 254, 254, 348, 323, 7504, 713, 3427, 274, 679, 2141, 274, 6901, 19, 17, 510, 374, 9961, 254, 1045, 34, 1841, 603, 40845, 19130, 22, 16, 420, 407, 254, 254, 457, 16, 1294, 1308, 432, 18, 2976, 343, 254, 668, 2347, 1863, 282, 695, 5569, 960, 1045, 1004, 255, 407, 255, 1041, 274, 4798, 374, 188, 35306, 26207, 18, 16, 1525, 17666, 607, 274, 8659, 274, 510, 977, 390, 254, 286, 274, 977, 348, 1076, 8326, 7624, 2367, 1068, 25470, 5362, 1527, 432, 683, 4443, 4443, 274, 16, 343, 4017, 14, 255, 254, 286, 28809, 254, 1842, 2408, 9445, 8425, 2706, 254, 25457, 22189, 7504, 27, 1051, 254, 14, 188, 5666, 4205, 254, 5554, 12768, 417, 390, 374, 322, 188, 85, 255, 16320, 28, 28131, 407, 1076, 22183, 758, 23, 282, 314, 254, 407, 403, 16, 188, 328, 309, 323, 6564, 348, 1525, 3353, 432, 274, 323, 5205, 5618, 1416, 282, 338, 2992, 46965, 643, 417, 274, 495, 510, 8376, 555, 4645, 22189, 1841, 407, 683, 4665, 510, 274, 188, 5362, 254, 36089, 407, 19130, 4171, 25457, 28, 254, 254, 5362, 407, 3453, 1938, 12768, 510, 5666, 12151, 510, 4285, 380, 254, 274, 26496, 276, 323, 387, 282, 470, 3407, 254, 2982, 2483, 22189, 7624, 933, 41968, 11, 587, 14, 254, 274, 14, 4577, 36422, 813, 4665, 274, 311, 22, 188, 775, 665, 188, 7050, 16784, 12768, 1068, 338, 323, 254, 7735, 8701, 16, 85, 9565, 387, 11, 274, 417, 13621, 254, 321, 10894, 888, 3134, 16, 311, 282, 274, 282, 14492, 254, 26986, 254, 417, 1063, 18, 495, 327, 7504, 2449, 5656, 22189, 687, 12768, 19, 254, 587, 14, 2497, 5666, 22736, 10175, 22736, 17068, 13326, 18187, 12768, 6774, 7274, 269, 255, 47524, 496, 390, 25, 188, 276, 16, 9842, 254, 338, 25470, 254, 436, 4598, 18, 286, 274, 254, 1525, 390, 321, 2332, 3899, 254, 254, 1842, 7976, 1842, 6854, 1865, 763, 282, 12768, 10549, 338, 254, 22736, 4681, 22189, 188, 280, 7015, 254, 597, 841, 14, 888, 282, 1063, 407, 24, 12768, 282, 314, 7504, 432, 188, 390, 321, 29392, 43596, 7624, 22, 274, 555, 39052, 2034, 931, 255, 5046, 18, 22189, 668, 254, 407, 16958, 2131, 387, 274, 1938, 22736, 22189, 22736, 9241, 417, 16, 407, 9643, 1057, 282, 4145, 348, 8429, 10123, 254, 321, 749, 25457, 254, 282, 18, 2992, 282, 188, 276, 282, 452, 18, 254, 274, 6135, 3407, 282, 607, 14231, 254, 5666, 22, 22736, 642, 686, 254, 30931, 265, 470, 2918, 390, 4782, 2448, 254, 16, 7504, 269, 89, 254, 254, 2462, 4329, 1042, 22736, 510, 4384, 254, 323, 1129, 915, 274, 1350, 533, 22736, 311, 1525, 6596, 5362, 7504, 324, 643, 274, 5666, 254, 7504, 1525, 5666, 1525, 470, 254, 2448, 4577, 2900, 323, 6901, 10407, 11424, 576, 12151, 274, 7969, 254, 254, 2615, 4236, 775, 254, 407, 1134, 555, 254, 1129, 1527, 407, 23, 3258, 5575, 20, 3277, 407, 10354, 22736, 695, 403, 436, 14989, 1091, 16, 21, 520, 17645, 12368, 1938, 44164, 799, 274, 14, 254, 1949, 22, 7624, 510, 282, 2483, 269, 2186, 18, 2148, 4341, 387, 311, 274, 407, 17645, 390, 6564, 2034, 12796, 254, 1525, 282, 7234, 683, 255, 274, 4236, 14, 14, 282, 3458, 643, 18, 6564, 254, 432, 323, 274, 16, 14, 16, 1460, 5740, 7702, 311, 22189, 22, 1242, 2057, 91, 16, 274, 22, 1839, 254, 266, 18, 22189, 25470, 2982, 4145, 21331, 374, 2154, 188, 323, 188, 4443, 510, 417, 321, 11, 16, 324, 14, 254, 323, 254, 1076, 885, 20, 1533, 327, 311, 1164, 274, 254, 1649, 6700, 188, 24, 255, 16, 22189, 254, 1042, 4744, 282, 7504, 7504, 933, 22703, 254, 14, 85, 671, 671, 819, 188, 2186, 628, 7504, 22736, 286, 663, 3378, 9445, 21, 2449, 254, 248, 695, 407, 254, 380, 470, 7624, 719, 18, 323, 1269, 248, 85, 4603, 324, 573, 6374, 330, 274, 25457, 282, 597, 432, 642, 16, 2802, 254, 16367, 555, 7378, 2497, 27852, 22, 11435, 188, 1842, 7050, 6739, 758, 338, 327, 274, 407, 1533, 338, 2131, 314, 1982, 1525, 17666, 311, 1193, 3367, 695, 16, 16, 17453, 254, 374, 10117, 343, 3407, 274, 2034, 10898, 12768, 4075, 286, 670, 254, 933, 16, 254, 888, 14, 374, 254, 13859, 321, 25470, 22736, 4205, 276, 10407, 274, 933, 254, 338, 3038, 254, 311, 311, 14, 22189, 6215, 5666, 3782, 561, 390, 496, 16, 12768, 311, 321, 254, 17, 276, 282, 25216, 343, 274, 432, 510, 22189, 274, 432, 36089, 254, 417, 22291, 14, 254, 274, 25131, 1041, 2449, 12768, 5666, 16, 14, 85, 2992, 4205, 254, 14, 1546, 2152, 16, 254, 22289, 16, 34518, 900, 274, 2485, 7624, 348, 24, 254, 836, 4645, 282, 188, 22189, 420, 15175, 7732, 25988, 1842, 14, 338, 274, 25457, 4856, 43596, 25847, 1525, 12768, 407, 432, 2992, 338, 274, 9874, 555, 576, 254, 3202, 248, 4355, 1020, 18, 671, 3577, 7624, 254, 10160, 417, 16, 16, 2152, 7406, 3134, 461, 248, 6901, 282, 282, 255, 254, 255, 16, 274, 255, 28809, 188, 10160, 254, 188, 13178, 2374, 603, 555, 254, 324, 643, 22291, 4017, 510, 3014, 254, 2408, 9445, 255, 16, 1568, 407, 254, 343, 22189, 25457, 4665, 4145, 254, 603, 20, 16, 254, 252, 8557, 276, 28828, 407, 6596, 1842, 1068, 3294, 22291, 282, 17036, 1126, 323, 282, 274, 15, 555, 24, 282, 779, 1563, 345, 274, 16, 9445, 274, 2859, 255, 18, 254, 432, 17231, 7274, 254, 7624, 10894, 432, 7504, 188, 20, 407, 254, 12768, 18, 274, 20, 188, 274, 3252, 274, 274, 311, 17666, 323, 328, 3252, 5362, 188, 695, 328, 255, 5615, 3427, 262, 255, 15538, 2114, 19, 328, 24667, 286, 14, 7624, 254, 6527, 4947, 282, 23330, 14, 1068, 19384, 274, 1316, 2615, 254, 954, 2483, 188, 1842, 1042, 20, 25, 758, 5346, 2917, 2228, 4665, 282, 14, 1525, 1063 ]
[ 1, 2660, 618, 1125, 1565, 2943, 476, 14, 274, 21352, 276, 802, 4434, 22493, 4156, 248, 321, 274, 643, 5256, 343, 3044, 3858, 5732, 286, 425, 15, 21241, 11824, 11642, 1247, 495, 327, 254, 2263, 1008, 1125, 9529, 4619, 248, 24331, 774, 407, 369, 15, 188, 248, 274, 867, 11, 25480, 5705, 403, 6111, 15111, 2534, 274, 2374, 6690, 14, 11891, 38101, 0, 3458, 3762, 633, 4126, 533, 286, 18023, 6458, 6813, 1997, 286, 3983, 18956, 915, 9690, 16, 38, 38, 2672, 27330, 785, 24906, 8413, 254, 17816, 12212, 274, 2865, 254, 619, 12131, 3858, 255, 22571, 3206, 671, 248, 248, 839, 533, 274, 7561, 353, 1064, 369, 1444, 830, 16957, 272, 4081, 254, 14, 16, 254, 4619, 0, 6394, 452, 14, 14541, 3564, 368, 4003, 321, 5935, 18, 8433, 14161, 5757, 5937, 314, 1045, 368, 6071, 4715, 7012, 555, 2714, 2778, 8088, 432, 1993, 248, 432, 353, 320, 580, 387, 513, 624, 748, 14, 1708, 590, 254, 353, 348, 188, 286, 274, 321, 311, 9823, 20369, 869, 4359, 1354, 282, 254, 3551, 353, 2365, 254, 16957, 5623, 20549, 432, 2489, 254, 16818, 7952, 276, 10732, 826, 254, 5639, 14, 374, 274, 7012, 4659, 22832, 6355, 15, 3066, 403, 360, 254, 248, 495, 785, 580, 24331, 286, 274, 14, 836, 38, 2057, 835, 254, 1464, 9307, 14, 318, 282, 2534, 2660, 1656, 310, 9690, 407, 3112, 20049, 1663, 314, 596, 452, 188, 1789, 42646, 1853, 1034, 8534, 314, 16, 248, 436, 27330, 34317, 2049, 23961, 348, 2686, 11401, 38, 301, 20689, 9836, 1956, 248, 188, 18743, 14925, 282, 3629, 3066, 2704, 1193, 748, 254, 888, 2056, 21241, 4, 15, 15, 1737, 254, 13555, 1212, 24331, 35357, 37550, 4772, 1116, 12961, 3, 27174, 16, 2572, 4172, 457, 321, 14994, 1110, 743, 188, 615, 354, 16957, 14004, 1362, 436, 3277, 368, 19, 668, 188, 2871, 3970, 2849, 1874, 13360, 282, 254, 6552, 85, 626, 343, 16116, 587, 15, 254, 8737, 274, 6453, 188, 42646, 274, 353, 254, 7374, 944, 4196, 286, 403, 254, 254, 387, 15, 5372, 274, 254, 12910, 4231, 872, 436, 2257, 1081, 3063, 1530, 16, 663, 11401, 606, 6648, 2704, 11, 254, 633, 188, 2704, 17318, 10620, 282, 248, 9125, 188, 327, 5100, 785, 13303, 10808, 16, 42646, 282, 5271, 85, 347, 1921, 276, 188, 2893, 6244, 353, 6822, 997, 596, 311, 10831, 276, 85, 596, 713, 615, 279, 14, 14, 3551, 12915, 7867, 7374, 327, 254, 15910, 324, 835, 293, 10443, 286, 3038, 30735, 9548, 1410, 2211, 16, 772, 282, 436, 387, 533, 16495, 24906, 328, 4434, 1093, 265, 457, 1241, 3538, 12175, 2539, 23173, 13229, 2352, 254, 16, 1515, 1051, 16, 2524, 387, 18, 7952, 274, 20885, 1844, 254, 390, 580, 1157, 282, 14654, 254, 282, 3034, 10307, 387, 13360, 17041, 6582, 603, 1041, 1920, 282, 533, 13229, 7952, 16, 457, 3, 248, 16, 5979, 435, 33, 35, 360, 2019, 650, 2328, 188, 4799, 38, 29, 1224, 27174, 188, 10442, 5686, 353, 835, 33, 16, 7996, 353, 353, 254, 10046, 772, 21241, 14, 188, 6106, 496, 683, 328, 12057, 282, 254, 16, 16, 254, 254, 2464, 188, 1042, 10510, 1450, 436, 282, 1143, 254, 14, 495, 276, 18273, 12509, 1254, 380, 327, 35913, 1830, 4950, 54, 286, 248, 671, 33, 254, 2042, 3655, 2133, 3159, 2151, 188, 2943, 20469, 254, 36465, 5603, 1062, 282, 687, 713, 353, 1062, 387, 576, 16, 276, 1093, 248, 16, 15, 321, 6648, 33, 3809, 1754, 33, 274, 6106, 33, 6453, 14, 1619, 286, 10522, 8404, 274, 27174, 348, 248, 1844, 2471, 327, 457, 658, 324, 1843, 11477, 390, 1364, 324, 10516, 282, 826, 14328, 282, 18802, 248, 18, 43956, 274, 423, 9, 10726, 669, 380, 286, 35477, 282, 274, 939, 87, 12246, 8147, 4325, 282, 4434, 368, 6100, 23, 997, 532, 3657, 495, 587, 9084, 6950, 3758, 14, 9906, 4565, 3956, 16, 276, 368, 3116, 593, 695, 1460, 16, 4589, 1873, 1678, 38, 22595, 14, 3909, 2961, 12339, 25335, 4156, 250, 843, 555, 12676, 24331, 742, 14, 188, 1844, 10072, 1640, 9948, 321, 254, 16, 5887, 3909, 15411, 282, 248, 756, 2809, 16, 14925, 10466, 1530, 311, 28583, 6975, 286, 5097, 7913, 14925, 20971, 5079, 274, 16, 9, 8131, 15, 248, 9657, 1254, 248, 274, 7829, 624, 581, 282, 750, 839, 619, 865, 286, 436, 38, 4360, 2041, 19405, 2433, 5127, 254, 16, 668, 454, 248, 380, 2057, 561, 369, 633, 13243, 298, 327, 561, 23427, 1254, 22493, 9690, 248, 4085, 1125, 188, 248, 16, 15972, 7968, 348, 7968, 387, 11058, 1350, 1205, 254, 279, 561, 1521, 1362, 495, 9118, 274, 476, 2499, 368, 254, 2041, 274, 570, 801, 286, 641, 276, 2778, 254, 24906, 6545, 561, 353, 407, 658, 16, 38, 3858, 310, 14, 4911, 1254, 387, 254, 14, 725, 14, 14960, 848, 2446, 254, 12369, 561, 2537, 6914, 274, 1354, 1938, 248, 368, 308, 1250, 2706, 15, 353, 276, 353, 490, 85, 1494, 254, 1623, 188, 16, 274, 18023, 387, 1631, 330, 29988, 1212, 0, 7374, 327, 254, 31362, 347, 839, 1309, 3684, 22571, 1853, 16, 248, 276, 16, 34394, 254, 254, 6927, 261, 4184, 18531, 276, 1254, 457, 5480, 2704, 310, 16791, 327, 311, 1637, 457, 801, 5440, 1530, 441, 282, 16, 495, 13702, 39592, 587, 34661, 248, 254, 6813, 1678, 14, 563, 452, 12131, 587, 16, 11328, 38, 1694, 314, 22832, 7952, 4236, 11088, 254, 7952, 12578, 286, 324, 1491, 1920, 8404, 619, 743, 2133, 3224, 1037, 343, 8770, 390, 276, 16, 353, 1090, 14, 1921, 3109, 41175, 37241, 961, 11384, 274, 11, 11903, 286, 38, 360, 14, 33, 286, 254, 19615, 13360, 188, 254, 4221, 274, 963, 1002, 18199, 254, 686, 14855, 37566, 6604, 348, 42828, 14, 7952, 25361, 590, 248, 14, 2093, 16, 1740, 10473, 15108, 513, 16, 6950, 15, 328, 286, 1738, 2706, 38, 248, 13356, 4, 11891, 4163, 1213, 360, 407, 38101, 274, 14, 276, 5266, 3530, 26239, 330, 188, 3112, 5732, 4799, 327, 7952, 368, 5427, 274, 1754, 1125, 414, 555, 12131, 6140, 254, 13901, 428, 282, 188, 368, 16, 4184, 457, 276, 1530, 1395, 254, 2514, 14, 276, 4047, 27174, 9484, 1920, 813, 1726, 324, 276, 14, 286, 1130, 274, 671, 16, 10701, 7613, 188, 4378, 2254, 34419, 772, 10341, 2660, 254, 188, 254, 311 ]
[ 1, 12935, 248, 276, 403, 13352, 282, 4434, 403, 2536, 1339, 32237, 2877, 819, 327, 254, 2107, 274, 1125, 1615, 1717, 16, 6313, 13825, 324, 19784, 311, 13558, 11645, 327, 1057, 9300, 321, 4474, 282, 2497, 1126, 282, 642, 1610, 6349, 2877, 2877, 867, 32744, 11728, 731, 368, 8346, 2415, 9005, 13366, 1362, 254, 328, 248, 9249, 587, 254, 3944, 13352, 19658, 2485, 17657, 452, 3364, 587, 9380, 282, 513, 9681, 900, 248, 751, 2049, 16, 2522, 2104, 20860, 933, 1717, 2499, 580, 248, 671, 16, 321, 841, 2107, 596, 274, 248, 254, 13352, 587, 327, 311, 1640, 1129, 4850, 3975, 276, 286, 18138, 328, 4426, 13269, 321, 8663, 360, 12287, 5517, 341, 2133, 16, 1205, 615, 48105, 353, 944, 2135, 5353, 14020, 633, 311, 4564, 3095, 835, 248, 2964, 1544, 248, 807, 368, 274, 321, 16, 14, 390, 328, 25369, 248, 6803, 321, 1717, 16, 286, 3055, 5660, 1479, 2877, 276, 1286, 248, 974, 4184, 311, 16, 6092, 1480, 14, 48105, 3831, 1480, 7624, 254, 5256, 4236, 188, 3095, 8927, 321, 32227, 327, 330, 16, 683, 5194, 188, 286, 286, 633, 403, 512, 1441, 669, 2877, 774, 274, 3134, 1285, 17169, 3217, 512, 282, 8285, 341, 1664, 12987, 30009, 555, 16, 2056, 86, 476, 587, 311, 324, 2023, 380, 1664, 348, 327, 248, 286, 11785, 12453, 6852, 671, 1919, 780, 17, 3994, 19658, 12596, 324, 476, 16, 16, 2320, 2906, 4270, 1728, 3970, 2706, 368, 7362, 9308, 416, 9526, 512, 563, 368, 2877, 434, 2430, 5563, 8183, 2479, 16, 34109, 38, 188, 933, 16, 282, 353, 4250, 286, 5534, 380, 17949, 248, 1368, 933, 353, 16, 14, 403, 24358, 282, 16, 368, 188, 3835, 2758, 5403, 4848, 248, 2485, 3888, 1223, 17869, 25470, 338, 282, 7052, 273, 3688, 633, 274, 16, 8352, 933, 286, 13352, 327, 274, 399, 375, 254, 13352, 1354, 17224, 286, 2353, 286, 276, 16144, 39236, 597, 15, 248, 8372, 3061, 512, 2877, 1062, 6015, 403, 900, 1285, 274, 888, 2023, 5089, 1336, 311, 17740, 4528, 9090, 4502, 273, 9380, 254, 12375, 731, 513, 282, 670, 18921, 3364, 3021, 1648, 282, 3442, 633, 476, 8522, 38355, 188, 368, 532, 1841, 587, 16, 254, 19784, 36250, 248, 274, 751, 13352, 2154, 2877, 1717, 14659, 282, 7538, 5919, 29416, 1844, 1862, 3055, 4244, 311, 14, 1652, 3609, 16, 2104, 33423, 524, 33, 580, 1910, 1074, 9445, 20238, 3095, 3134, 25369, 16, 16, 368, 14, 1640, 587, 9300, 7570, 11668, 1547, 248, 3258, 276, 13732, 6939, 4073, 252, 3219, 13366, 9439, 254, 16, 3290, 24984, 2342, 6690, 1717, 900, 12369, 282, 8667, 14, 1648, 343, 19702, 3417, 16, 343, 26945, 321, 706, 1842, 4674, 3944, 1726, 436, 387, 254, 403, 18716, 254, 1668, 311, 13352, 282, 2352, 13366, 324, 399, 16, 248, 353, 368, 5403, 2139, 17035, 1930, 2877, 434, 188, 432, 1583, 248, 4987, 21693, 8952, 476, 31174, 3854, 633, 276, 248, 43289, 7924, 4987, 254, 2877, 2141, 428, 324, 418, 343, 3265, 2848, 5278, 974, 633, 248, 383, 1062, 568, 19029, 839, 2066, 274, 4426, 476, 248, 4665, 670, 16, 254, 4780, 276, 1640, 633, 286, 2662, 2657, 282, 2109, 1683, 321, 13622, 1683, 596, 748, 311, 5485, 1545, 2875, 17949, 13352, 43953, 248, 12935, 2028, 343, 2966, 368, 12369, 20860, 2634, 327, 5779, 16, 1640, 254, 441, 321, 436, 4137, 7709, 7275, 563, 13477, 15, 834, 452, 3112, 14, 33, 963, 286, 368, 17413, 915, 343, 282, 368, 324, 354, 6564, 3015, 1683, 274, 343, 14, 494, 2008, 7224, 348, 368, 4603, 3061, 1717, 348, 282, 1838, 479, 12453, 11453, 8886, 2152, 633, 633, 248, 15372, 2877, 327, 18, 14, 374, 1391, 311, 13352, 21387, 713, 900, 403, 327, 3027, 282, 1982, 1845, 683, 311, 20860, 29582, 13352, 5130, 1538, 254, 9865, 3936, 2034, 311, 633, 343, 942, 254, 9942, 343, 16, 286, 274, 19354, 643, 248, 961, 2609, 404, 4392, 13511, 390, 2342, 343, 282, 353, 20860, 13352, 16, 1336, 894, 248, 492, 8271, 311, 1438, 273, 14, 282, 403, 2877, 1157, 2877, 1755, 774, 1042, 1052, 8095, 1997, 254, 12369, 3004, 1993, 353, 14, 399, 1205, 25595, 570, 321, 16, 8927, 3944, 570, 27016, 10143, 368, 4598, 327, 4850, 1689, 476, 353, 274, 343, 2075, 274, 9258, 4189, 348, 13352, 2877, 2692, 14, 324, 484, 24, 1845, 188, 665, 254, 900, 321, 345, 286, 25, 188, 286, 374, 276, 17260, 282, 321, 633, 14, 70, 2049, 494, 476, 14, 748, 16, 8325, 826, 6136, 407, 2485, 2575, 18716, 2624, 22, 43953, 276, 14, 14, 17740, 27991, 2624, 14653, 248, 343, 25470, 188, 343, 276, 282, 390, 343, 1408, 2522, 282, 3294, 4061, 13352, 3256, 266, 29008, 1444, 1125, 3563, 282, 1795, 872, 353, 14, 7618, 1062, 5574, 533, 248, 33433, 933, 18921, 248, 45647, 4694, 6015, 17657, 8617, 282, 390, 16, 248, 276, 13352, 324, 399, 476, 1845, 2877, 2473, 5816, 5050, 6319, 869, 3324, 2877, 311, 254, 1026, 14, 276, 12453, 12369, 403, 1717, 70, 1062, 4694, 254, 6136, 2257, 7224, 641, 16, 961, 2877, 2458, 368, 16, 16, 327, 9831, 274, 280, 2115, 2056, 2066, 248, 4214, 2877, 343, 2066, 343, 57, 1664, 4273, 274, 274, 286, 13352, 1286, 4236, 13352, 15, 10542, 865, 1308, 16, 16, 276, 4326, 399, 1707, 254, 14, 650, 399, 254, 16, 311, 16, 16601, 353, 5534, 282, 3468, 5751, 3446, 16, 4678, 282, 254, 19625, 368, 327, 6949, 13171, 403, 328, 587, 5243, 29008, 14906, 2701, 12809, 368, 254, 1102, 1305, 286, 282, 21693, 12369, 2332, 14579, 276, 16, 2615, 12453, 633, 3004, 16, 3292, 248, 18716, 21933, 3483, 4282, 324, 27016, 321, 327, 633, 14, 4382, 368, 731, 2961, 16, 5537, 596, 30934, 669, 3823, 27886, 321, 248, 1129, 14, 254, 1683, 11399, 713, 5537, 286, 18241, 276, 21693, 5114, 434, 16, 368, 872, 811, 254, 1851, 434, 2363, 14, 14, 5913, 18584, 33, 0, 1612, 615, 2877, 2877, 380, 751, 4292, 276, 1125, 15404, 2485, 1683, 311, 25470, 4273, 5100, 1368, 2049, 9931, 2877, 4466, 330, 276, 286, 254, 1985, 16, 22509, 665, 889, 1062, 16, 21693, 16, 16, 642, 403, 742, 18716, 403, 2675, 4686, 348, 380, 2731, 248, 4902, 286, 255, 633, 5403, 670, 16, 5403, 2779, 324, 16, 19784, 561, 18921, 14166, 596, 15581, 1308 ]
[ 1, 29, 13294, 2314, 1970, 45577, 254, 11891, 670, 1903, 368, 242, 2497, 15, 368, 3275, 282, 2731, 276, 16, 343, 668, 272, 513, 324, 293, 1464, 470, 16, 14, 2770, 4436, 2903, 14, 324, 86, 25848, 243, 2584, 13546, 1395, 650, 20780, 188, 18862, 927, 20, 1286, 4250, 772, 597, 403, 1074, 15, 12782, 3275, 671, 3032, 1212, 14774, 470, 281, 2654, 274, 15128, 254, 2914, 14, 479, 18, 14, 6118, 452, 1860, 272, 958, 34215, 27, 254, 1815, 618, 7629, 1316, 616, 772, 3, 21, 276, 20464, 188, 3275, 188, 16, 321, 14, 520, 24, 4533, 532, 324, 452, 248, 4356, 1390, 1427, 587, 670, 2903, 82, 1036, 16, 25569, 4006, 15, 441, 655, 26302, 310, 826, 16, 13376, 282, 5060, 4806, 5224, 8671, 274, 282, 14, 26, 276, 10271, 14, 2433, 1469, 33, 7668, 274, 1083, 22, 457, 3184, 1460, 24186, 16, 14, 254, 1143, 576, 8143, 772, 668, 1508, 6973, 1926, 16, 16, 1091, 1963, 86, 6774, 327, 274, 751, 2706, 7693, 15701, 24817, 3, 16, 2109, 17389, 14, 457, 7702, 11225, 282, 321, 5574, 5058, 1623, 38978, 254, 272, 6656, 327, 27256, 7012, 1395, 407, 1315, 188, 457, 23, 2942, 310, 254, 188, 9097, 2503, 34540, 324, 14, 286, 188, 16, 33, 8139, 293, 1508, 10436, 1691, 772, 4615, 354, 14, 188, 2066, 4792, 22038, 11953, 248, 16, 4002, 407, 441, 15, 286, 311, 9644, 16, 21, 47, 512, 324, 1603, 607, 286, 5157, 46595, 561, 6465, 2943, 6910, 2622, 14, 368, 274, 4325, 26, 441, 403, 353, 13245, 41845, 1582, 324, 16, 742, 16, 1316, 368, 345, 3275, 14, 16484, 47, 1247, 15532, 3035, 18, 272, 22145, 254, 432, 580, 2960, 254, 1664, 555, 380, 19, 254, 6008, 7500, 15774, 4806, 3236, 248, 701, 1004, 5243, 368, 2314, 265, 24, 755, 3502, 286, 476, 1863, 706, 1516, 25817, 14, 43622, 13846, 587, 47582, 2056, 441, 277, 4343, 254, 22505, 0, 188, 276, 276, 633, 310, 403, 3, 286, 327, 16, 0, 1982, 85, 8377, 16, 89, 9633, 633, 16, 14, 24974, 407, 276, 282, 242, 390, 368, 286, 26305, 561, 45935, 11268, 3, 39653, 7106, 3, 618, 243, 276, 715, 16, 520, 1316, 1339, 3678, 35570, 616, 30546, 272, 5574, 1572, 10557, 1982, 282, 343, 343, 30388, 839, 32948, 242, 4250, 368, 328, 593, 1026, 2514, 865, 4311, 618, 63, 1872, 5685, 23, 3425, 633, 8139, 22521, 310, 328, 14, 387, 311, 512, 368, 327, 282, 5384, 48121, 3425, 2893, 22040, 274, 274, 532, 12979, 23, 274, 443, 1897, 20, 324, 30921, 2214, 5710, 188, 3, 3732, 1594, 4566, 26925, 16414, 14, 5346, 11553, 248, 16, 26, 16, 240, 3, 16, 188, 13594, 14, 403, 706, 188, 311, 282, 865, 243, 933, 20824, 42039, 801, 1572, 14750, 4006, 23618, 1612, 28843, 242, 1205, 368, 274, 17406, 286, 18, 3256, 254, 254, 24697, 587, 14036, 2023, 188, 24987, 1822, 368, 7061, 6151, 18002, 3, 1362, 5602, 3, 8373, 19931, 27, 254, 409, 254, 16, 16, 5769, 2353, 1838, 774, 22832, 16, 254, 11174, 13570, 6765, 328, 3108, 368, 242, 4300, 641, 32297, 368, 13326, 286, 29828, 772, 46457, 1316, 888, 500, 3854, 12055, 33813, 650, 2628, 6160, 30695, 5897, 888, 10480, 353, 360, 368, 843, 390, 16, 16, 15842, 2370, 616, 282, 1285, 368, 27707, 16235, 618, 1247, 1015, 248, 4610, 719, 44104, 327, 328, 254, 643, 24087, 607, 328, 16, 497, 597, 17837, 14, 188, 3275, 2382, 1286, 633, 37270, 633, 328, 8139, 580, 1130, 327, 1564, 436, 3, 830, 390, 4351, 6211, 16, 802, 310, 1963, 11335, 188, 1116, 286, 1327, 2960, 9550, 85, 1982, 576, 390, 476, 2862, 434, 20464, 9517, 10374, 561, 85, 1782, 457, 3046, 351, 10648, 3148, 568, 6380, 248, 311, 668, 14, 452, 848, 321, 434, 33, 15465, 311, 16790, 19, 254, 310, 188, 368, 360, 47, 16, 272, 16418, 772, 668, 272, 286, 2960, 497, 14, 671, 3706, 387, 18, 18, 2177, 36048, 16, 14, 743, 243, 4806, 7456, 436, 248, 282, 248, 188, 1362, 6611, 254, 479, 3783, 242, 42039, 670, 670, 8980, 188, 360, 3273, 310, 801, 9734, 457, 6211, 2066, 1090, 5246, 586, 2117, 6706, 7528, 14, 512, 265, 324, 34, 16, 616, 252, 476, 390, 14, 369, 2424, 254, 330, 272, 3055, 17661, 8687, 16, 616, 248, 669, 47, 14, 274, 282, 1090, 407, 4800, 14, 9320, 23, 16, 269, 4672, 16, 343, 7089, 282, 10476, 188, 1305, 452, 188, 6394, 16, 432, 28575, 407, 624, 16, 369, 668, 338, 3612, 616, 2803, 616, 321, 3, 248, 1545, 2367, 2432, 16, 1577, 22794, 403, 512, 367, 33, 11891, 436, 0, 368, 1754, 24463, 1141, 9045, 952, 1041, 855, 251, 512, 440, 286, 240, 512, 321, 1501, 387, 254, 839, 14, 4356, 530, 45935, 274, 7624, 772, 1183, 274, 4607, 5837, 274, 188, 1274, 4436, 16, 71, 188, 0, 16, 258, 1074, 465, 18493, 543, 12934, 274, 32948, 6061, 839, 839, 1469, 8547, 7068, 495, 16654, 1525, 5646, 679, 16, 1116, 26, 343, 266, 32214, 2982, 4136, 596, 1116, 36903, 16, 254, 836, 14, 188, 3, 387, 6564, 1205, 4356, 3585, 282, 643, 9097, 8011, 8307, 321, 16, 20985, 188, 1874, 10027, 12467, 6140, 310, 9832, 14, 1130, 6380, 343, 713, 7090, 671, 5278, 22, 747, 188, 3751, 22145, 729, 1336, 15910, 2265, 33, 441, 2942, 16, 367, 592, 35, 7560, 403, 618, 706, 4731, 44825, 10711, 772, 19625, 4474, 4676, 1444, 14, 71, 9199, 826, 16, 403, 387, 470, 254, 2336, 45578, 4248, 3, 4436, 286, 1385, 310, 4923, 1963, 15384, 16, 3407, 248, 555, 436, 28775, 22145, 38113, 14, 729, 14689, 1594, 282, 1648, 276, 561, 0, 977, 4945, 46436, 14, 436, 16, 16, 1212, 665, 2449, 7295, 282, 37286, 4981, 428, 47, 731, 254, 533, 324, 4731, 7250, 254, 2320, 1460, 353, 378, 6564, 10969, 34, 3275, 16, 5926, 587, 28367, 27003, 474, 22186, 282, 269, 369, 0, 276, 1125, 27, 16, 5646, 23, 1011, 21915, 1924, 8139, 0, 5060, 2705, 2227, 18333, 299, 282, 1286, 188, 2514, 34499, 277, 2374, 679, 403, 311, 26514, 2320, 274, 4130, 248, 369, 3425, 633, 7172, 35452, 2527, 1041, 587, 826, 22038, 32948, 8486, 274, 963, 8139, 28775, 432, 383, 321, 311, 20738, 5925, 11107, 3, 328, 410 ]
[ 1, 434, 14, 353, 254, 26960, 12676, 14, 40, 35497, 310, 254, 34, 1330, 16, 324, 282, 33, 552, 5677, 7744, 10266, 1810, 188, 188, 2185, 188, 387, 416, 592, 1848, 23, 3853, 4, 8556, 587, 2377, 16, 510, 188, 1837, 390, 494, 310, 20411, 615, 310, 4977, 16, 16, 282, 24400, 22521, 5293, 434, 834, 17739, 1312, 618, 283, 8550, 5293, 9845, 68, 385, 274, 2185, 867, 747, 188, 286, 14099, 5167, 1530, 14414, 836, 14, 282, 16, 830, 9515, 8223, 41446, 273, 6086, 1026, 2007, 18, 2836, 27800, 272, 4609, 343, 321, 3612, 14, 282, 848, 618, 484, 14, 1464, 15666, 5293, 403, 23947, 625, 1843, 282, 403, 6429, 747, 16, 282, 3492, 30314, 367, 626, 15910, 4356, 368, 255, 13201, 368, 16, 5228, 32599, 6656, 1102, 8223, 618, 1638, 713, 457, 85, 310, 407, 19, 1594, 188, 368, 835, 23537, 3672, 633, 274, 6086, 17321, 13201, 2023, 10476, 14909, 46752, 7829, 14, 34939, 22291, 10494, 2499, 1305, 513, 1530, 327, 20197, 2871, 30259, 532, 5554, 688, 3646, 10355, 1110, 2836, 8556, 3409, 276, 14, 2976, 2057, 40981, 8086, 282, 2780, 248, 286, 688, 20, 282, 663, 2674, 2836, 274, 3015, 432, 6179, 353, 16, 14, 457, 1572, 625, 596, 324, 7560, 2448, 256, 276, 7699, 276, 2156, 16, 9710, 16, 9901, 12745, 285, 188, 5626, 40, 1041, 286, 3699, 713, 1782, 276, 22834, 1773, 17740, 387, 18, 507, 248, 6395, 763, 16, 12136, 9938, 1663, 22834, 33, 16, 801, 4813, 0, 4412, 21505, 3233, 16, 286, 14, 310, 348, 323, 5390, 14, 670, 29364, 4503, 1907, 29424, 282, 651, 3793, 2289, 20139, 16, 368, 713, 4824, 7934, 13782, 2244, 272, 9403, 15, 8530, 29867, 597, 14, 27, 1017, 2288, 4867, 40385, 16, 2514, 1663, 5419, 1125, 15530, 16, 5113, 40, 254, 587, 368, 933, 26382, 8745, 299, 14, 603, 1789, 2609, 6349, 403, 774, 4948, 530, 15, 4577, 9938, 14, 274, 368, 731, 282, 2515, 3461, 286, 1305, 1782, 603, 555, 309, 4250, 826, 188, 310, 633, 36222, 8754, 276, 10476, 16, 457, 301, 839, 1530, 3116, 387, 256, 18, 276, 3, 7876, 324, 618, 2241, 254, 374, 11673, 188, 863, 274, 9884, 668, 913, 11354, 343, 3238, 25, 2144, 11287, 3432, 311, 248, 2912, 321, 1193, 1530, 3783, 416, 1499, 1042, 628, 23017, 254, 532, 310, 944, 343, 274, 327, 248, 6845, 1842, 1275, 31800, 7666, 6357, 14119, 11155, 324, 4532, 668, 24269, 23497, 1862, 417, 1315, 43505, 327, 597, 452, 254, 35497, 6299, 441, 2039, 286, 46649, 650, 1797, 248, 1242, 91, 32130, 311, 4745, 688, 274, 663, 14, 86, 11733, 441, 188, 495, 7390, 1782, 276, 618, 819, 625, 368, 618, 3, 942, 377, 1212, 40, 16, 8388, 276, 14, 1899, 328, 248, 272, 813, 16714, 14074, 14, 248, 5705, 4574, 1499, 9901, 390, 378, 274, 12979, 2280, 16, 327, 862, 321, 4977, 37808, 14, 338, 1782, 618, 889, 758, 254, 353, 348, 514, 188, 310, 299, 286, 512, 9764, 1996, 327, 772, 23308, 2377, 254, 2042, 8611, 12317, 14, 282, 5390, 12107, 254, 1862, 432, 18796, 18197, 16, 6673, 276, 14531, 13201, 357, 8555, 14763, 944, 343, 669, 1328, 40627, 6132, 8349, 1242, 2332, 188, 188, 843, 10697, 2000, 670, 1797, 188, 286, 801, 27800, 16, 637, 669, 618, 16, 286, 254, 9328, 338, 5243, 14, 14, 11601, 22, 683, 1062, 254, 286, 22111, 403, 368, 21723, 9690, 587, 274, 254, 9710, 311, 282, 8754, 618, 615, 10650, 2377, 2325, 4285, 11, 286, 16, 561, 324, 2996, 20197, 1499, 10314, 434, 11, 254, 615, 2374, 254, 276, 563, 7338, 2065, 13891, 274, 41532, 91, 21143, 254, 14, 1268, 276, 23, 1354, 2196, 811, 23497, 23, 16, 14417, 3577, 2377, 839, 282, 14732, 282, 278, 615, 942, 510, 286, 14, 11982, 5219, 772, 3836, 35843, 1432, 2209, 3148, 368, 877, 28262, 14, 20062, 7156, 11995, 9710, 4500, 669, 11673, 15734, 12182, 286, 4356, 747, 348, 407, 1499, 3928, 368, 596, 248, 576, 2231, 2414, 889, 9847, 16, 310, 5049, 4528, 686, 14, 368, 14390, 16, 20813, 14, 561, 494, 772, 17727, 643, 14732, 669, 1354, 6546, 2984, 839, 21808, 25044, 286, 286, 88, 6928, 14, 663, 580, 282, 1143, 16, 314, 311, 16, 793, 4348, 314, 286, 13356, 314, 327, 1952, 322, 33010, 1602, 43, 772, 1903, 16534, 368, 188, 3468, 839, 321, 532, 16, 327, 5862, 747, 14430, 14, 282, 20999, 307, 286, 618, 368, 14, 282, 13201, 12478, 14, 811, 19364, 2237, 2185, 563, 327, 758, 1354, 7744, 282, 679, 8061, 1038, 3316, 23308, 390, 16, 751, 22124, 22653, 1460, 2304, 286, 248, 25830, 14, 4816, 36337, 380, 1767, 371, 16743, 14, 2377, 27800, 670, 2113, 8364, 387, 248, 407, 248, 24664, 188, 15425, 254, 282, 85, 686, 3571, 476, 380, 306, 476, 33, 368, 432, 12445, 310, 14, 343, 14, 8350, 311, 16, 282, 387, 422, 283, 14, 14430, 14909, 311, 248, 8856, 0, 615, 274, 286, 1431, 403, 282, 473, 248, 282, 17831, 3061, 1842, 1952, 11222, 343, 1242, 811, 627, 513, 14, 252, 403, 18, 15, 0, 1247, 633, 650, 5311, 188, 1495, 286, 328, 5897, 324, 18, 1691, 1157, 23, 2185, 1996, 327, 9921, 513, 684, 1033, 1770, 248, 11535, 282, 1717, 2286, 6329, 4349, 274, 670, 10864, 618, 687, 6363, 476, 1827, 7065, 286, 16, 1922, 5592, 40659, 6681, 869, 70, 3944, 2960, 8754, 9334, 1842, 958, 4745, 407, 254, 14, 403, 17, 311, 9, 8329, 2218, 7213, 14, 434, 5219, 2185, 33, 6341, 248, 663, 321, 756, 747, 71, 2703, 30175, 9901, 18715, 188, 1326, 274, 29101, 1293, 633, 3408, 2257, 841, 4558, 597, 274, 457, 328, 6890, 390, 347, 24658, 24358, 24951, 4360, 254, 434, 1619, 16, 5723, 1843, 555, 580, 10494, 434, 12107, 394, 2357, 4658, 14, 40364, 2152, 14, 3, 2185, 18, 16, 327, 2636, 42743, 779, 9, 16, 16, 310, 14, 276, 11733, 16, 5603, 5095, 573, 13814, 35497, 14, 374, 1038, 772, 10062, 1385, 16140, 310, 432, 1469, 747, 282, 368, 14, 37, 1286, 16, 8754, 16, 9884, 830, 14, 46752, 310, 2961, 252, 286, 1125, 4528, 4349, 476, 1141, 2883, 282, 282, 5603, 1773, 2079, 85, 368, 13814, 1212, 28262, 1594, 3294, 1817, 286, 960, 5066, 311, 6349, 324, 713, 14074, 7250, 751, 5555 ]
[ 1, 5256, 15, 596, 1683, 481, 1662, 16, 1286, 1982, 40742, 5332, 310, 780, 7644, 603, 2950, 274, 16, 865, 441, 650, 25302, 8465, 683, 15, 27059, 8821, 274, 53, 328, 10179, 428, 1707, 348, 15, 8832, 32177, 3699, 21776, 5114, 596, 715, 756, 2628, 14798, 330, 3536, 668, 349, 2932, 16, 532, 5510, 688, 933, 447, 1183, 2875, 3452, 596, 16, 4626, 22633, 19, 5510, 16, 274, 2563, 663, 1691, 254, 22559, 18, 16722, 9391, 1547, 310, 327, 276, 1577, 276, 12053, 742, 36368, 2380, 729, 188, 496, 8583, 248, 17816, 343, 274, 5858, 1268, 18843, 360, 21857, 633, 869, 20585, 3673, 282, 19362, 2572, 14, 1521, 321, 1521, 14, 2380, 3124, 2030, 2379, 14, 311, 3124, 7723, 310, 16, 8832, 4959, 642, 3981, 2065, 8986, 8758, 10413, 28478, 311, 24541, 2705, 1354, 348, 8542, 403, 2942, 254, 282, 12258, 188, 9622, 1525, 7434, 729, 14, 1596, 7659, 22633, 16, 5510, 650, 276, 686, 2504, 14, 311, 11870, 274, 73, 633, 5475, 16, 663, 403, 310, 1528, 753, 944, 18, 10794, 12796, 663, 348, 1594, 497, 2214, 14, 13757, 310, 286, 20843, 248, 33516, 9845, 9863, 368, 1689, 2096, 16, 14, 1528, 2065, 327, 311, 9496, 84, 6397, 1952, 1057, 8832, 27940, 1385, 8288, 417, 4590, 45325, 772, 4264, 26210, 28, 274, 286, 248, 9899, 407, 546, 25452, 321, 963, 2066, 286, 282, 282, 3994, 3, 14, 963, 368, 16, 5207, 14, 327, 286, 324, 254, 457, 452, 633, 15, 2380, 8514, 390, 1997, 25355, 26210, 5510, 1026, 330, 403, 633, 360, 46004, 642, 4356, 286, 248, 3064, 1045, 14, 327, 7434, 254, 286, 642, 39062, 3972, 3177, 1837, 26026, 786, 3224, 14, 286, 2903, 21247, 12856, 25355, 1845, 328, 447, 695, 11068, 321, 618, 16, 642, 9515, 9515, 286, 10456, 282, 434, 276, 0, 650, 2490, 2784, 24388, 14, 2380, 573, 9496, 16, 2380, 811, 276, 659, 625, 961, 3452, 38984, 14625, 1683, 14, 25469, 2807, 254, 14, 348, 254, 368, 14414, 22, 310, 9515, 380, 9515, 368, 343, 254, 328, 1232, 44791, 417, 15, 14, 9515, 20366, 1015, 747, 15, 4782, 188, 254, 475, 428, 3095, 8069, 1471, 785, 16, 16, 311, 772, 21, 274, 4343, 2003, 388, 2977, 663, 390, 14, 14, 33317, 16, 282, 6010, 2380, 615, 33529, 3746, 3497, 188, 4959, 532, 16, 4317, 407, 274, 15, 8325, 33645, 274, 16, 7609, 4356, 872, 4816, 1068, 14, 324, 14, 258, 16, 16, 18616, 12053, 21051, 8514, 1738, 274, 452, 5202, 282, 2504, 22558, 314, 774, 23, 9845, 9329, 15, 974, 35888, 274, 46183, 8164, 687, 1770, 3192, 353, 5058, 360, 8020, 286, 327, 944, 10075, 809, 1093, 248, 8514, 22559, 355, 1525, 11798, 282, 2130, 188, 14, 1456, 587, 615, 407, 348, 10827, 659, 254, 254, 2227, 683, 254, 33250, 360, 8279, 3234, 14, 2380, 33493, 668, 274, 4612, 9421, 403, 403, 729, 5041, 188, 5897, 1141, 2279, 37185, 272, 78, 10427, 254, 324, 772, 3054, 274, 23068, 254, 368, 2626, 2411, 9892, 3405, 15, 9928, 618, 1842, 1521, 324, 3609, 15, 73, 1038, 274, 839, 763, 36368, 321, 513, 388, 756, 1183, 374, 10087, 15, 14414, 10795, 282, 818, 8667, 2903, 1707, 2875, 324, 898, 1521, 441, 580, 2028, 9261, 286, 17364, 18, 18150, 24919, 1521, 36368, 6010, 36368, 5202, 36368, 1055, 7922, 671, 22, 16130, 36368, 73, 15, 452, 2504, 2380, 17126, 27940, 706, 3258, 1931, 944, 4464, 360, 5587, 16, 14168, 28143, 12940, 7995, 285, 3551, 188, 286, 328, 3064, 14, 16, 9845, 9515, 615, 1528, 330, 286, 580, 19911, 2860, 16, 7786, 14, 14, 434, 16, 497, 22, 512, 282, 10344, 3831, 14, 713, 3894, 625, 671, 324, 476, 835, 286, 835, 8832, 516, 2380, 17, 10427, 282, 324, 7521, 1312, 1707, 16, 1252, 44791, 2961, 580, 593, 311, 10724, 7434, 266, 14, 688, 274, 3699, 248, 11773, 10075, 348, 37954, 8325, 264, 2497, 642, 7434, 2289, 751, 12053, 36368, 403, 274, 2533, 785, 16, 2380, 22559, 9515, 14, 387, 14, 276, 1186, 2008, 327, 9391, 476, 670, 1362, 81, 286, 347, 14355, 16, 254, 36368, 417, 512, 328, 16159, 276, 276, 476, 17194, 16, 1362, 9515, 310, 85, 670, 14, 188, 3801, 324, 20166, 387, 2099, 580, 0, 625, 748, 5332, 4903, 254, 4, 286, 6437, 17266, 338, 2118, 3065, 4731, 1931, 5787, 343, 772, 1982, 1521, 2411, 16, 16, 254, 273, 5298, 1074, 4903, 1707, 3064, 16, 423, 36368, 286, 248, 403, 276, 813, 8227, 321, 5577, 33, 3801, 580, 282, 286, 254, 31801, 9515, 8756, 327, 11892, 7056, 512, 12872, 4181, 6021, 343, 7644, 28928, 10413, 3853, 2489, 729, 5235, 9515, 497, 327, 45177, 12096, 282, 4602, 14, 14, 327, 8279, 343, 360, 305, 274, 36368, 4541, 368, 417, 188, 626, 286, 729, 995, 1058, 14, 1362, 14, 1021, 1141, 5202, 12882, 2966, 16, 4801, 580, 615, 596, 16, 3637, 286, 248, 839, 713, 16, 713, 286, 254, 580, 274, 4782, 311, 12, 1841, 3925, 452, 587, 188, 276, 9261, 2096, 254, 403, 2591, 39913, 368, 390, 390, 580, 343, 9515, 3598, 19, 1919, 15380, 5510, 470, 1689, 268, 403, 512, 1316, 14, 28928, 3921, 282, 417, 1847, 669, 274, 398, 618, 4782, 1051, 587, 756, 368, 688, 46707, 274, 14, 18150, 390, 286, 368, 2056, 16, 809, 33290, 16, 1824, 14, 248, 2645, 14, 10413, 12396, 9564, 3051, 274, 348, 282, 274, 9515, 254, 2743, 19, 615, 36561, 73, 282, 188, 642, 12258, 14, 4950, 497, 819, 19911, 14, 2380, 1336, 46183, 633, 73, 390, 321, 1817, 2499, 9353, 1547, 683, 633, 188, 254, 772, 368, 276, 29, 14, 282, 14, 15, 8435, 1740, 19, 254, 1528, 254, 310, 546, 15359, 1444, 26863, 747, 15, 11835, 8997, 29946, 11859, 16, 254, 9515, 3544, 28928, 321, 428, 1252, 2986, 4357, 3095, 348, 374, 5153, 16, 944, 9282, 16, 933, 1525, 21017, 254, 2961, 615, 2986, 4959, 2996, 14, 22633, 343, 1464, 14, 286, 12740, 81, 3360, 497, 1064, 274, 20, 587, 11630, 33645, 1129, 663, 348, 16, 428, 373, 1303, 18843, 16, 959, 1090, 5510, 6000, 19, 5281, 8980, 3435, 596, 801, 9496, 30424, 15, 254, 289, 15722, 5685, 45879, 933, 254, 276, 2299, 496, 286, 4829, 513, 286, 16, 9452, 36368, 10164, 311, 274, 14, 35081, 6979, 615, 254, 360 ]
[ 1, 286, 633, 3184, 417, 91, 327, 13123, 188, 25302, 5628, 596, 3997, 348, 434, 311, 17893, 3, 6901, 479, 286, 310, 311, 2893, 532, 428, 5940, 1012, 1040, 310, 16, 2169, 248, 1042, 286, 1223, 13365, 1096, 188, 889, 3396, 7089, 16, 16, 16637, 2231, 311, 444, 16, 254, 597, 254, 16, 282, 756, 618, 254, 16, 188, 5395, 276, 14, 3462, 428, 16, 1062, 960, 4349, 5419, 2893, 1268, 1382, 343, 353, 276, 353, 16, 16902, 282, 1480, 650, 3448, 188, 625, 688, 1464, 11460, 1480, 4800, 434, 301, 625, 2545, 43, 282, 1212, 327, 248, 16902, 593, 11146, 188, 34660, 40140, 282, 731, 436, 3352, 16902, 8314, 311, 1042, 282, 2314, 16646, 1002, 5419, 2501, 14938, 683, 624, 3, 254, 889, 274, 282, 286, 1090, 16, 3026, 1503, 11460, 2560, 324, 16, 311, 311, 323, 310, 16031, 1129, 16, 3372, 476, 872, 17266, 403, 1508, 30202, 345, 826, 21886, 1797, 1830, 756, 4832, 16, 254, 1062, 2169, 282, 348, 29582, 188, 731, 310, 1575, 254, 248, 2539, 353, 3751, 348, 597, 254, 513, 18, 597, 188, 282, 43, 5441, 307, 254, 670, 16, 9619, 274, 188, 57, 188, 17893, 46, 14, 8298, 5395, 12136, 254, 3448, 6890, 3026, 1952, 1516, 27500, 324, 10512, 188, 79, 3989, 1612, 643, 3351, 310, 3367, 188, 91, 4558, 1208, 374, 1157, 324, 408, 188, 618, 1028, 6901, 403, 1640, 1845, 1519, 188, 3026, 353, 960, 1362, 1963, 353, 5395, 2545, 188, 327, 452, 10982, 1062, 14965, 5395, 1845, 900, 286, 6939, 625, 452, 188, 1853, 1125, 452, 188, 5419, 17284, 324, 16902, 4434, 14, 11673, 4434, 324, 1062, 274, 25441, 282, 580, 7119, 1181, 505, 254, 8439, 353, 2075, 7345, 3448, 296, 2427, 960, 16902, 14, 282, 3462, 6939, 188, 276, 695, 254, 44836, 1656, 772, 428, 1252, 16, 4866, 436, 597, 1773, 5395, 40679, 2893, 963, 188, 4806, 3, 327, 1594, 282, 748, 11295, 963, 324, 3195, 254, 452, 13365, 1830, 607, 963, 188, 434, 872, 638, 3732, 254, 8631, 683, 1034, 7626, 254, 286, 1656, 747, 1582, 497, 668, 9575, 9995, 188, 447, 8298, 16, 3184, 1033, 1516, 274, 353, 3026, 343, 46848, 12136, 16902, 276, 436, 633, 32985, 444, 22779, 5395, 13488, 9615, 286, 283, 963, 348, 311, 188, 353, 533, 286, 434, 669, 3032, 1062, 889, 16, 1090, 3629, 272, 310, 282, 900, 254, 310, 16, 1042, 2545, 274, 16031, 785, 286, 248, 1141, 13253, 28204, 254, 963, 282, 23617, 3217, 3082, 307, 35853, 597, 532, 16, 353, 1862, 25014, 1480, 353, 16, 963, 46, 1637, 1205, 2666, 1516, 10512, 8270, 1012, 3462, 327, 188, 1028, 942, 436, 248, 1090, 625, 299, 3198, 353, 607, 17555, 3, 282, 2501, 2169, 2427, 1830, 282, 16852, 14, 1252, 188, 16, 46, 1830, 1074, 747, 366, 695, 3837, 282, 16, 13048, 3026, 889, 286, 188, 32985, 3, 4658, 4286, 16, 960, 254, 4658, 33611, 16, 11652, 3006, 14, 650, 1640, 324, 11824, 428, 16, 828, 785, 1640, 1102, 561, 286, 3956, 643, 26026, 16902, 16, 188, 16031, 14, 34733, 428, 282, 6321, 16, 14409, 353, 27487, 16, 16, 772, 324, 3462, 5395, 3655, 11081, 248, 43, 763, 963, 274, 274, 328, 3, 597, 2941, 597, 369, 16, 286, 310, 1395, 4528, 13123, 618, 19701, 188, 5395, 46, 688, 641, 16, 188, 607, 2427, 5419, 13684, 188, 1090, 2148, 428, 43247, 513, 15179, 2893, 747, 403, 642, 683, 324, 348, 353, 643, 286, 254, 597, 1480, 512, 3826, 3622, 597, 14, 310, 715, 11460, 2519, 16, 42902, 14409, 1830, 5419, 16902, 641, 7908, 417, 532, 338, 282, 3448, 254, 14430, 2545, 16902, 14, 1480, 282, 324, 811, 348, 2489, 33090, 1845, 3116, 16031, 436, 16, 6939, 1181, 625, 479, 16902, 13253, 452, 7461, 14, 11006, 9394, 29582, 4868, 2546, 444, 16, 282, 310, 1247, 963, 286, 2169, 683, 747, 274, 403, 495, 321, 286, 900, 1157, 963, 16, 310, 5058, 5395, 16, 254, 15404, 3, 343, 16637, 31921, 16, 916, 254, 2893, 16, 324, 188, 16, 960, 618, 3, 353, 14, 2378, 9378, 5083, 311, 1252, 1090, 900, 603, 963, 8346, 348, 2378, 254, 889, 3373, 2169, 20508, 407, 900, 2545, 188, 248, 1012, 33470, 16902, 310, 1575, 282, 31625, 1773, 17893, 11460, 665, 324, 13253, 19724, 642, 747, 310, 872, 282, 310, 13253, 13644, 731, 282, 327, 16, 4658, 188, 889, 706, 11320, 3448, 254, 5103, 276, 1364, 1090, 22329, 188, 3184, 3692, 254, 348, 78, 31625, 481, 16, 16633, 900, 252, 16, 7924, 889, 2626, 25812, 625, 310, 663, 311, 599, 12420, 327, 286, 254, 276, 6949, 16, 42463, 444, 8444, 13253, 811, 963, 597, 942, 1294, 254, 36562, 706, 310, 6154, 16, 731, 510, 254, 21750, 1623, 14, 1480, 5395, 5419, 343, 1845, 597, 31625, 1773, 16, 597, 3448, 16, 1002, 7786, 14, 593, 1209, 1830, 1038, 5441, 15433, 324, 2046, 772, 642, 16, 311, 2225, 16, 14, 434, 286, 597, 16, 642, 3770, 286, 1008, 16, 963, 7683, 16, 16, 5723, 8033, 2332, 434, 6250, 2427, 974, 618, 3732, 16, 6734, 16, 16, 597, 5395, 1062, 665, 1640, 1247, 1837, 188, 286, 330, 727, 13253, 1129, 9556, 1181, 607, 324, 633, 7156, 348, 841, 2666, 353, 1090, 16, 6015, 2169, 28150, 348, 353, 436, 479, 254, 1141, 408, 16902, 5909, 15554, 188, 3448, 327, 353, 311, 597, 188, 343, 5167, 900, 15179, 311, 188, 7358, 10949, 706, 282, 311, 25812, 14409, 282, 5935, 16902, 286, 248, 19724, 1830, 13123, 6092, 14430, 963, 3655, 596, 311, 43, 5419, 1090, 671, 687, 650, 2489, 1845, 314, 3, 624, 353, 276, 328, 27302, 16902, 596, 618, 188, 1012, 286, 3248, 254, 17266, 310, 1637, 5395, 16031, 3, 618, 327, 16, 1830, 35595, 286, 16, 16902, 1755, 11559, 16637, 1125, 1116, 4414, 188, 731, 14, 4646, 324, 12420, 10431, 1830, 444, 839, 16, 282, 1041, 3026, 353, 353, 369, 2626, 900, 282, 1797, 618, 16549, 16902, 248, 16, 353, 444, 12991, 747, 348, 16, 1247, 1038, 282, 46, 3462, 2156, 368, 254, 324, 14, 593, 1223, 282, 747, 46405, 4349, 2169, 17236, 1038, 16031, 34560, 713, 43, 16637, 16, 7786, 343, 1213, 38682, 348, 942, 11673, 625, 1773, 311, 254, 7754, 282, 282, 324, 16, 16, 597, 276, 254, 13123, 11460, 16, 2169, 5395, 16 ]
[ 1, 2893, 633, 282, 1789, 452, 1578, 417, 8864, 310, 353, 5632, 1872, 1842, 2367, 8555, 671, 457, 254, 479, 670, 16, 310, 16, 775, 1585, 328, 3498, 763, 70, 1668, 5952, 310, 13109, 286, 513, 387, 2152, 11176, 5103, 1838, 1129, 4929, 1012, 624, 1129, 417, 282, 286, 14, 688, 403, 248, 3818, 1062, 254, 841, 307, 16, 286, 16, 2687, 763, 852, 749, 1582, 457, 593, 321, 5803, 839, 17, 839, 353, 321, 16, 2035, 286, 248, 785, 747, 748, 2746, 16, 314, 311, 16, 1837, 3837, 79, 695, 286, 16, 274, 327, 751, 360, 16, 16, 254, 327, 457, 869, 512, 872, 188, 15, 286, 977, 403, 1678, 670, 1652, 20257, 79, 24848, 561, 1362, 497, 282, 1612, 307, 310, 671, 17, 1842, 457, 10187, 1033, 282, 663, 2942, 618, 642, 282, 670, 248, 2934, 2314, 785, 1872, 14, 512, 2342, 476, 2784, 43, 19551, 1034, 2328, 6477, 597, 670, 16491, 324, 25381, 286, 1268, 310, 7892, 12061, 671, 443, 615, 616, 593, 13454, 282, 310, 457, 282, 618, 276, 25381, 254, 888, 310, 476, 457, 1863, 353, 13109, 457, 1034, 669, 28048, 35778, 324, 310, 443, 387, 765, 457, 1851, 310, 3240, 457, 254, 495, 2315, 86, 683, 618, 4855, 417, 1594, 311, 188, 2687, 4549, 1842, 811, 5798, 10620, 17, 7100, 9073, 671, 2746, 3, 4868, 310, 1664, 310, 282, 2057, 343, 7856, 274, 10916, 26990, 3, 1395, 360, 1668, 343, 624, 254, 6477, 6817, 188, 1862, 1444, 286, 254, 747, 3002, 310, 324, 24880, 5999, 387, 248, 781, 307, 5894, 479, 457, 348, 2902, 3957, 314, 188, 580, 3970, 2778, 1872, 785, 1033, 4701, 310, 417, 43, 671, 2151, 2079, 43117, 497, 274, 2666, 343, 4313, 248, 14311, 22, 5769, 248, 57, 248, 403, 618, 1952, 310, 286, 945, 286, 248, 311, 12456, 188, 310, 1002, 254, 457, 403, 327, 286, 307, 286, 307, 276, 188, 597, 2101, 1842, 1623, 593, 7110, 7892, 852, 11715, 369, 274, 310, 452, 188, 248, 3826, 843, 1081, 369, 2524, 1062, 670, 890, 5058, 188, 295, 1919, 16, 14414, 1470, 310, 387, 3061, 286, 310, 310, 561, 254, 248, 4188, 321, 479, 348, 1450, 353, 980, 670, 731, 1603, 2891, 282, 790, 16, 248, 282, 2241, 580, 16, 719, 1031, 628, 618, 4087, 1619, 624, 5095, 671, 321, 254, 27, 254, 872, 668, 14, 865, 2367, 2378, 3054, 248, 417, 4393, 3086, 3032, 324, 24975, 18522, 22643, 254, 3355, 1241, 11, 1401, 2086, 4785, 348, 343, 811, 785, 1090, 16, 30748, 3056, 282, 22055, 286, 2286, 6612, 2065, 3383, 618, 596, 417, 310, 3437, 254, 811, 27469, 719, 3435, 22012, 443, 2732, 457, 2314, 310, 1838, 643, 713, 573, 2065, 457, 811, 1838, 310, 1143, 15185, 403, 16144, 9556, 309, 188, 597, 835, 628, 1862, 6601, 2367, 274, 324, 310, 3155, 16, 1668, 417, 1143, 254, 751, 2086, 1034, 2980, 512, 2116, 432, 701, 751, 532, 669, 403, 3837, 387, 11129, 276, 1963, 2314, 16, 17, 1726, 248, 3148, 618, 11820, 4168, 43, 802, 1789, 772, 343, 15, 1640, 596, 8621, 4128, 14621, 2211, 807, 4813, 11177, 13488, 327, 315, 452, 338, 16, 865, 729, 16, 3095, 2732, 3652, 324, 282, 4149, 2687, 14, 310, 286, 286, 28172, 785, 343, 626, 343, 457, 11176, 2666, 11067, 1093, 310, 254, 327, 310, 310, 670, 286, 282, 76, 86, 2102, 286, 977, 14, 374, 248, 310, 2367, 643, 360, 248, 954, 2049, 327, 387, 39475, 719, 35995, 1842, 16, 23, 19, 10264, 254, 286, 457, 997, 452, 286, 563, 747, 21, 593, 248, 1872, 1181, 43, 1057, 16, 13454, 274, 360, 785, 3498, 1851, 513, 2155, 368, 772, 387, 33019, 3089, 841, 274, 14708, 785, 5139, 1130, 310, 618, 15030, 1362, 772, 282, 443, 286, 79, 436, 86, 311, 16, 2978, 274, 16, 2893, 43457, 348, 811, 3364, 963, 715, 2654, 5058, 16, 20556, 512, 848, 26902, 16, 2076, 1091, 671, 282, 286, 1395, 274, 16, 2115, 452, 763, 16, 17, 16, 14, 5651, 286, 311, 282, 452, 286, 14, 596, 2489, 669, 596, 43, 188, 772, 282, 16, 14260, 1260, 785, 10244, 387, 311, 10187, 1074, 25, 256, 14746, 671, 328, 3598, 1872, 479, 10187, 311, 7461, 18204, 276, 1242, 801, 17447, 248, 15400, 1253, 16, 618, 5498, 17, 286, 1438, 2765, 5846, 1309, 555, 6656, 618, 286, 79, 1091, 254, 830, 1872, 618, 286, 751, 452, 532, 452, 869, 888, 343, 282, 2545, 3122, 961, 1129, 343, 618, 282, 35067, 671, 618, 403, 742, 695, 3148, 457, 6761, 254, 328, 327, 274, 324, 1480, 311, 11, 1842, 2035, 360, 282, 16, 311, 841, 1354, 670, 643, 6477, 188, 43, 286, 1842, 3, 276, 4448, 85, 1640, 532, 16, 432, 4140, 763, 2099, 1062, 282, 888, 345, 254, 282, 3498, 43, 7892, 888, 2942, 785, 555, 4128, 533, 1285, 16, 310, 254, 7374, 597, 387, 593, 282, 801, 1038, 4424, 715, 307, 324, 16, 310, 1722, 254, 2367, 286, 3095, 286, 593, 310, 343, 2430, 1379, 345, 5440, 1432, 310, 1157, 5415, 443, 254, 715, 626, 615, 785, 512, 273, 1845, 310, 2086, 295, 785, 555, 2314, 2065, 369, 26414, 286, 1565, 532, 561, 9709, 282, 2942, 41083, 40859, 495, 369, 387, 254, 452, 671, 310, 407, 4867, 403, 2086, 1062, 276, 286, 2666, 256, 282, 2367, 282, 830, 79, 626, 2086, 573, 3, 6676, 3622, 670, 4679, 14, 276, 2187, 5653, 642, 443, 282, 4744, 254, 188, 327, 16, 1055, 2175, 16, 8864, 286, 403, 671, 368, 387, 452, 16, 417, 1640, 8950, 321, 16, 1081, 2350, 9059, 313, 16, 327, 2675, 3732, 2187, 254, 23, 561, 24590, 835, 790, 311, 311, 343, 618, 310, 532, 12352, 774, 479, 310, 1074, 353, 5952, 432, 18, 2654, 811, 7892, 324, 2289, 16, 533, 670, 327, 5769, 360, 79, 16, 963, 407, 2230, 8718, 248, 963, 16, 2101, 188, 338, 6477, 1919, 311, 1872, 1683, 254, 188, 248, 4904, 7621, 2996, 11176, 9478, 14687, 3470, 596, 618, 1427, 254, 618, 593, 624, 16491, 2705, 403, 286, 310, 580, 188, 2524, 4774, 43, 6477, 353, 1074, 85, 248, 2666, 616, 5769, 26990, 532, 2056, 354, 286, 15083, 452, 345, 276, 43, 16, 311, 2942, 2367, 29946, 248, 1652, 374, 457, 457, 2314, 1842, 310, 311 ]
[ 1, 16448, 282, 441, 2811, 9104, 254, 274, 16, 2961, 188, 276, 17635, 3826, 476, 15, 27, 368, 11176, 2628, 14, 17551, 12618, 5660, 13459, 772, 12473, 1368, 282, 1982, 956, 1056, 254, 248, 16, 254, 596, 274, 2713, 13459, 13741, 2653, 276, 274, 587, 324, 33, 390, 324, 3998, 31962, 997, 1245, 282, 3941, 282, 274, 4442, 10968, 254, 1920, 311, 4246, 3, 14, 2752, 3367, 452, 338, 4653, 16, 79, 14, 1656, 16, 715, 4142, 21302, 368, 248, 25506, 633, 452, 33, 16, 15, 24781, 2653, 254, 16, 360, 6153, 14, 14, 16, 276, 10596, 19, 748, 15682, 248, 633, 286, 254, 3533, 772, 254, 8738, 1574, 368, 9112, 2713, 254, 311, 248, 79, 18, 3598, 254, 5125, 23, 942, 576, 16, 188, 254, 37, 254, 4479, 6722, 706, 2413, 16472, 310, 311, 13459, 35, 1041, 668, 10094, 17891, 286, 2653, 7537, 14, 25369, 14, 343, 2546, 282, 286, 774, 11711, 10062, 4646, 324, 769, 254, 4279, 35377, 4544, 8132, 1408, 2522, 6534, 1225, 16, 188, 1091, 10399, 2738, 324, 9131, 13459, 1294, 441, 34308, 353, 4907, 21302, 5537, 1225, 9884, 9490, 2348, 634, 1161, 25244, 254, 10796, 6979, 4602, 254, 254, 37954, 311, 7952, 747, 343, 1395, 254, 16, 1865, 390, 13459, 772, 1691, 343, 254, 274, 836, 188, 4189, 282, 26340, 2023, 276, 29315, 16, 587, 286, 360, 1212, 14, 327, 603, 390, 23, 19, 2069, 452, 330, 18, 16, 248, 695, 2683, 274, 7526, 274, 274, 4868, 5429, 13459, 15548, 14, 17962, 706, 14, 311, 310, 407, 15401, 14, 18, 894, 2196, 14, 1691, 254, 3408, 14, 248, 4462, 343, 3683, 5058, 1773, 512, 576, 248, 4646, 417, 1334, 16086, 254, 353, 6477, 254, 3690, 4513, 3184, 16, 23, 276, 4602, 33, 254, 380, 14, 248, 14, 3699, 34198, 624, 21718, 899, 1181, 21, 2269, 13459, 751, 2408, 328, 1845, 12008, 8522, 254, 14, 2539, 2069, 1330, 8132, 2035, 843, 436, 27255, 16, 22570, 16, 22843, 254, 495, 1042, 18, 18596, 324, 286, 3598, 286, 248, 311, 18, 324, 286, 16, 2035, 2069, 16766, 942, 4131, 272, 0, 5123, 12678, 6536, 1508, 7528, 18083, 368, 387, 593, 286, 2033, 510, 248, 282, 282, 368, 254, 915, 16, 706, 16, 476, 324, 3781, 380, 7422, 33365, 587, 2653, 14, 1294, 311, 1547, 8575, 1438, 13459, 328, 81, 2738, 14, 2072, 16, 24301, 3089, 1041, 15, 476, 496, 729, 779, 16494, 11711, 3388, 16, 14, 276, 188, 14, 15878, 6317, 4142, 5708, 16, 3265, 1865, 5897, 14, 274, 758, 27255, 274, 5066, 452, 311, 5114, 327, 26, 29325, 13825, 16, 188, 15052, 2490, 16, 512, 16, 3867, 21, 1773, 2069, 274, 23, 2347, 15052, 780, 16, 642, 1547, 2653, 484, 324, 43, 401, 1444, 324, 274, 434, 15052, 3395, 22629, 327, 274, 188, 19063, 32273, 6025, 2468, 7526, 596, 16, 12261, 188, 282, 12008, 311, 669, 30073, 14, 9899, 1574, 16, 14, 25728, 16, 328, 324, 1362, 14544, 1394, 274, 20, 13459, 942, 19, 17531, 2269, 254, 6211, 16, 324, 368, 8350, 368, 35353, 374, 273, 360, 2715, 23, 944, 8788, 328, 188, 3405, 7747, 960, 14, 633, 188, 282, 1773, 14, 2759, 2514, 27511, 18, 476, 1051, 254, 2141, 33, 368, 14741, 13459, 11, 1738, 22471, 476, 1354, 2023, 731, 10537, 25482, 311, 311, 1872, 254, 254, 403, 188, 33060, 18, 360, 254, 254, 274, 2624, 1581, 274, 254, 282, 14, 6211, 3802, 1354, 276, 403, 456, 476, 13251, 311, 6255, 7526, 16, 2318, 13420, 7335, 282, 387, 16448, 826, 15401, 2490, 343, 276, 4255, 1090, 254, 2715, 2209, 11401, 274, 6106, 9360, 2035, 956, 324, 274, 476, 338, 2752, 6404, 865, 274, 1756, 16, 16, 12834, 14, 6326, 10883, 12332, 14, 311, 1091, 14390, 1733, 35353, 785, 495, 360, 1395, 615, 248, 343, 3684, 16, 343, 8790, 1334, 33, 282, 368, 374, 368, 254, 1916, 1125, 188, 13459, 4772, 16, 3233, 10003, 3108, 1286, 254, 374, 1330, 942, 248, 8840, 977, 343, 18, 3615, 587, 37481, 6761, 2497, 1221, 13459, 327, 1041, 1041, 1260, 374, 683, 25775, 17, 13825, 17928, 1726, 33491, 360, 6151, 16, 1253, 603, 14, 11805, 16, 4377, 1091, 3294, 657, 2497, 865, 16, 4806, 272, 14, 872, 21064, 2413, 2497, 10282, 561, 624, 16, 7461, 510, 13459, 286, 1431, 7269, 16, 8886, 16, 16, 254, 4107, 19, 1260, 6311, 476, 27255, 248, 1865, 311, 4189, 282, 4747, 2103, 533, 1091, 2653, 273, 311, 16060, 274, 15, 2049, 2150, 276, 1041, 28429, 436, 14855, 4653, 188, 4544, 18, 695, 274, 380, 4126, 13459, 188, 16, 1479, 16, 248, 10537, 1838, 3148, 1017, 495, 282, 360, 25870, 434, 417, 286, 16, 14, 4107, 17227, 1963, 3198, 2069, 4684, 16, 324, 476, 3564, 13459, 368, 274, 14755, 1432, 6025, 889, 25068, 1245, 14, 4221, 274, 22884, 11458, 18, 28, 311, 6384, 16, 276, 188, 26074, 14, 21, 16, 407, 9131, 1268, 254, 2269, 41404, 1581, 1527, 1640, 360, 403, 6208, 282, 3802, 495, 2713, 47469, 11929, 16, 338, 1640, 20, 286, 596, 9115, 26, 512, 286, 274, 254, 25175, 13459, 324, 15052, 946, 276, 16, 324, 11401, 1017, 801, 16, 16, 188, 2069, 2533, 188, 14, 188, 20, 16, 26, 14296, 956, 3533, 272, 944, 2713, 20, 314, 3202, 14, 1738, 368, 188, 254, 670, 274, 2653, 9315, 274, 274, 188, 865, 16, 16832, 17, 1575, 2477, 1899, 1012, 254, 1788, 624, 1110, 254, 19658, 16, 7335, 3533, 254, 16, 1017, 5324, 368, 555, 282, 513, 1653, 839, 276, 254, 2713, 1268, 513, 1826, 276, 2653, 387, 16, 13459, 5869, 274, 826, 6025, 345, 282, 12834, 27511, 2653, 4095, 8350, 5299, 16937, 772, 1091, 731, 11593, 26790, 2069, 286, 328, 10436, 13459, 2245, 633, 403, 16, 596, 1336, 7528, 16, 443, 772, 10537, 2187, 2413, 254, 188, 10062, 843, 3134, 2041, 274, 587, 282, 248, 274, 188, 353, 13459, 15, 14, 3143, 772, 282, 282, 4213, 747, 633, 1897, 2245, 254, 16, 3505, 282, 452, 286, 23, 248, 6435, 274, 248, 6956, 2210, 2150, 254, 324, 26703, 865, 274, 11903, 15052, 35, 311, 286, 30343, 5324, 2124, 272, 16, 5248, 495, 16, 23088, 368, 35, 2150, 254, 3570, 2863, 443, 34308, 25068, 16, 282, 2653, 597, 254, 452, 615, 248, 23, 34359, 16, 751, 360, 5740, 16, 15052 ]
[ 1, 436, 563, 747, 14, 731, 463, 1872, 756, 626, 457, 17999, 2155, 44532, 532, 11390, 188, 607, 494, 8545, 668, 188, 286, 2427, 6141, 7758, 441, 248, 18, 274, 276, 276, 348, 360, 353, 46238, 9136, 5381, 368, 75, 15, 23, 3, 2151, 432, 3852, 24719, 403, 274, 447, 248, 327, 42079, 343, 6149, 0, 29289, 16, 16, 1045, 4848, 11, 772, 1354, 597, 311, 353, 1056, 254, 670, 282, 8221, 254, 369, 351, 2350, 1330, 13810, 597, 603, 496, 1864, 1253, 11390, 14, 452, 17551, 1125, 248, 254, 42079, 513, 1041, 2819, 6141, 254, 466, 328, 188, 2244, 248, 282, 14, 3061, 254, 188, 457, 310, 254, 286, 390, 343, 1896, 483, 13799, 16, 188, 1042, 1982, 12, 495, 555, 16, 314, 310, 353, 18754, 15, 286, 27586, 286, 311, 669, 1662, 2255, 188, 254, 15, 254, 2731, 248, 188, 38206, 1872, 1143, 310, 683, 286, 641, 30185, 2244, 360, 1232, 43, 11, 286, 2711, 16, 16, 4032, 731, 463, 310, 348, 915, 1037, 11947, 17443, 7919, 481, 561, 188, 15, 4285, 1141, 7439, 274, 286, 15, 763, 324, 368, 254, 251, 8840, 872, 310, 597, 16, 353, 24719, 360, 5909, 3, 1315, 1931, 188, 1625, 5326, 282, 671, 5108, 2211, 39052, 14, 81, 512, 7919, 16, 412, 188, 6217, 1309, 353, 324, 23675, 7357, 327, 3853, 819, 520, 3849, 31305, 282, 338, 3849, 25934, 254, 563, 33, 282, 1125, 1480, 3879, 2298, 248, 1663, 2819, 353, 22501, 1952, 286, 20369, 274, 327, 276, 10238, 1521, 7161, 343, 532, 10456, 248, 71, 254, 626, 282, 729, 22, 650, 14, 340, 16, 5897, 1181, 6830, 1649, 6149, 603, 8244, 6536, 369, 254, 1806, 85, 282, 596, 2391, 11320, 11, 248, 43, 9430, 368, 668, 670, 466, 587, 1258, 85, 580, 2942, 1737, 274, 417, 19, 188, 2991, 14, 16832, 633, 1619, 17404, 310, 6815, 11, 7758, 436, 1145, 2646, 343, 3132, 2701, 748, 2838, 188, 250, 276, 3, 248, 5607, 403, 274, 16832, 286, 353, 16, 254, 282, 3437, 310, 12309, 3396, 2151, 731, 40682, 777, 254, 16, 248, 1038, 1952, 353, 12347, 413, 1311, 4873, 872, 8840, 368, 2427, 13962, 286, 4574, 1652, 368, 310, 1731, 274, 457, 1919, 33729, 327, 570, 7439, 8901, 641, 188, 807, 1130, 865, 6128, 16, 19638, 282, 5320, 254, 1286, 633, 38206, 274, 21754, 4813, 311, 360, 7573, 872, 314, 86, 753, 188, 23, 1129, 3179, 1649, 254, 7754, 403, 48001, 1856, 5995, 6648, 368, 2342, 1574, 374, 1934, 5862, 2187, 15669, 11859, 7855, 300, 9693, 512, 369, 33, 587, 1213, 310, 79, 4344, 3709, 14, 14205, 276, 14, 643, 751, 3148, 807, 452, 16, 7047, 417, 16, 751, 16, 1091, 3063, 14, 276, 32434, 2031, 3680, 4741, 729, 603, 311, 974, 18, 479, 713, 3, 254, 9632, 4895, 4741, 713, 328, 368, 18754, 1382, 750, 368, 3202, 418, 7042, 15, 4747, 452, 8392, 274, 254, 327, 9535, 683, 311, 22481, 603, 324, 345, 248, 520, 276, 311, 286, 276, 11939, 513, 6154, 257, 368, 2543, 1012, 368, 188, 1903, 772, 282, 29537, 2257, 16, 85, 1062, 3097, 1738, 1843, 369, 729, 1842, 597, 383, 10832, 4848, 12347, 596, 282, 1268, 21754, 4707, 21754, 33, 188, 2869, 3350, 594, 321, 254, 250, 556, 343, 276, 286, 254, 452, 3055, 5126, 16, 369, 282, 16, 3, 3992, 27475, 12347, 479, 1391, 8430, 276, 1037, 368, 603, 452, 16120, 1603, 624, 274, 31239, 276, 368, 343, 188, 2537, 31239, 7701, 1091, 353, 533, 1157, 254, 457, 16, 16, 188, 4741, 14, 626, 815, 251, 1247, 1480, 1952, 1863, 286, 254, 40995, 23, 763, 3148, 30105, 4574, 16, 15085, 520, 573, 343, 8106, 972, 14526, 2424, 457, 742, 321, 1773, 16, 254, 360, 933, 3, 8745, 16, 4741, 71, 747, 1012, 10357, 14, 353, 457, 22630, 1773, 15221, 573, 11, 16, 6069, 6357, 2374, 2292, 2244, 2922, 286, 13930, 360, 327, 248, 188, 254, 324, 7176, 20002, 5619, 633, 3155, 16, 16, 16, 1181, 9769, 12347, 670, 14, 11947, 573, 476, 39, 321, 360, 5552, 872, 28, 327, 20369, 3, 8293, 71, 483, 259, 1390, 327, 25934, 2353, 457, 597, 15955, 12347, 42079, 274, 254, 31866, 596, 368, 1063, 16, 86, 307, 2539, 24719, 512, 452, 742, 188, 4214, 1503, 248, 16, 1311, 2468, 2803, 353, 5909, 282, 10663, 345, 21718, 41438, 274, 2378, 889, 38521, 9845, 1931, 310, 16, 4186, 2155, 254, 30069, 6141, 593, 2056, 11812, 1269, 561, 939, 248, 188, 6915, 417, 188, 79, 1863, 9430, 1619, 255, 4092, 15085, 40995, 457, 618, 21660, 188, 14, 593, 274, 324, 86, 624, 633, 1813, 10068, 327, 254, 476, 16, 41765, 2241, 3155, 254, 14976, 1091, 4212, 282, 321, 14, 9892, 248, 16, 3106, 274, 27414, 188, 3324, 276, 497, 282, 512, 16, 79, 188, 3437, 5246, 4558, 15, 21, 3901, 417, 512, 944, 9024, 466, 276, 188, 45806, 7042, 16, 3584, 310, 2764, 15, 30832, 20253, 593, 11320, 353, 17, 380, 5897, 307, 20, 771, 86, 14, 40975, 1041, 852, 457, 3148, 2406, 26323, 42079, 596, 85, 532, 4196, 248, 41625, 248, 2519, 3635, 1091, 573, 1903, 1223, 13962, 254, 1773, 282, 16, 286, 311, 5569, 15, 974, 15, 2646, 8840, 188, 1350, 248, 561, 19988, 563, 254, 1903, 513, 254, 14, 8788, 2211, 310, 3, 24719, 580, 311, 2304, 274, 573, 2079, 12158, 1689, 360, 328, 328, 13819, 2244, 47854, 603, 16, 974, 835, 282, 1309, 2429, 3, 2602, 188, 2515, 7964, 248, 369, 6041, 26601, 2292, 13962, 14, 457, 1849, 13853, 43, 42079, 403, 188, 248, 852, 2778, 1330, 974, 9392, 368, 775, 9723, 4344, 755, 14, 26855, 369, 830, 34257, 248, 2942, 5732, 5568, 6934, 73, 276, 3, 23862, 713, 9010, 1212, 188, 7855, 852, 818, 713, 14687, 7100, 852, 1362, 254, 89, 457, 2144, 286, 1359, 2263, 688, 248, 513, 1733, 328, 1354, 286, 11717, 360, 22055, 80, 286, 6139, 457, 3149, 643, 2569, 248, 1382, 324, 360, 1970, 11947, 587, 368, 1582, 1773, 11320, 457, 267, 368, 1781, 390, 14, 8814, 248, 16, 16832, 321, 15165, 2003, 561, 18024, 282, 1395, 360, 512, 348, 248, 14, 5909, 188, 41244, 16, 4414, 248, 286, 286, 633, 520, 22630, 7964, 481, 22329, 14, 345, 9415, 248, 33420, 7213, 1708, 16, 555, 16, 1181, 1926 ]
[ 1, 16, 27, 343, 5940, 3965, 286, 872, 254, 310, 15777, 742, 21, 32344, 14579, 18, 2421, 6644, 1694, 1416, 289, 14502, 33265, 1794, 495, 274, 18, 5509, 275, 348, 2784, 3088, 21530, 7032, 479, 14, 282, 7797, 819, 254, 374, 14297, 276, 835, 16, 9156, 286, 276, 2332, 324, 16, 12782, 432, 368, 14, 533, 8386, 4325, 15, 20202, 1903, 580, 380, 254, 4540, 3175, 6524, 33677, 633, 368, 4945, 10077, 248, 2318, 1689, 54, 1996, 5711, 18231, 729, 23, 286, 669, 36193, 324, 763, 15042, 1181, 1520, 13760, 1502, 14, 4540, 328, 286, 4131, 6699, 286, 10563, 510, 4684, 254, 20, 2411, 380, 49, 20563, 254, 6567, 1416, 14, 21530, 3448, 16, 3996, 17217, 2024, 286, 6495, 311, 1064, 276, 6495, 1181, 625, 42865, 1008, 13416, 41905, 687, 1321, 276, 785, 37438, 353, 417, 367, 3294, 14, 7004, 324, 432, 3051, 36996, 19414, 14, 7935, 254, 16, 633, 789, 729, 286, 54, 16, 1521, 368, 18, 248, 3269, 12832, 14502, 7526, 18, 23, 5146, 13416, 286, 16, 30318, 188, 2955, 5311, 16, 324, 32698, 21530, 282, 343, 311, 11213, 642, 282, 576, 2640, 4022, 807, 33417, 836, 14502, 311, 3532, 1091, 321, 274, 2868, 1502, 273, 14, 22469, 15592, 751, 18, 2640, 16, 2086, 5547, 407, 597, 4489, 9536, 276, 11645, 1062, 10648, 286, 21997, 16588, 373, 1186, 368, 1362, 1362, 1354, 1845, 37205, 343, 254, 27, 9863, 16, 286, 20313, 254, 286, 801, 1665, 9537, 380, 282, 11626, 274, 16, 2025, 713, 310, 457, 353, 17877, 5060, 5485, 476, 348, 11485, 1360, 31097, 1683, 18520, 0, 248, 4584, 671, 2982, 286, 2176, 16, 286, 512, 16, 1841, 22469, 274, 5511, 2086, 4, 11967, 33, 11379, 813, 1851, 282, 10436, 11301, 13228, 14, 2194, 10725, 9199, 16, 71, 348, 2196, 3498, 14, 254, 3489, 286, 9123, 2341, 16174, 45373, 3184, 8533, 10223, 4184, 286, 286, 6750, 452, 188, 1664, 648, 286, 254, 510, 286, 2034, 36, 276, 188, 286, 282, 8979, 15, 276, 1558, 6081, 14, 5360, 449, 1017, 16906, 580, 13764, 16, 374, 276, 19, 2504, 254, 26884, 596, 11334, 14, 6313, 4897, 1689, 286, 12087, 273, 3371, 3759, 533, 2382, 4445, 7683, 311, 276, 20, 9104, 45202, 3297, 2079, 5462, 390, 19102, 24151, 3949, 282, 1004, 8952, 32698, 254, 36, 403, 353, 3833, 481, 10334, 254, 1241, 46186, 18, 18119, 2194, 618, 276, 841, 16637, 248, 10670, 2245, 14, 1996, 324, 1938, 276, 272, 248, 324, 286, 2524, 1868, 387, 282, 14, 555, 593, 18, 14625, 1920, 369, 286, 1444, 21, 15682, 4203, 4434, 5215, 23027, 2591, 2342, 311, 14, 561, 276, 248, 324, 10060, 706, 2927, 11679, 1064, 5060, 580, 343, 23773, 3498, 14, 348, 254, 248, 4646, 1017, 4188, 254, 374, 18058, 0, 9536, 597, 6319, 13221, 532, 188, 286, 254, 3, 188, 16, 7112, 14135, 633, 44095, 20313, 670, 1663, 2411, 14, 16, 1683, 272, 254, 14, 12352, 8514, 338, 14, 0, 1033, 310, 15, 4698, 14, 311, 254, 915, 2372, 9536, 338, 3084, 31577, 3570, 22239, 4373, 16, 407, 324, 18761, 29483, 495, 368, 10563, 285, 23945, 274, 650, 188, 340, 5603, 41295, 10170, 311, 5509, 311, 4540, 11134, 1499, 476, 687, 324, 47273, 21121, 10215, 8753, 1707, 18, 3743, 513, 368, 11106, 2421, 4605, 19038, 6721, 324, 1423, 286, 14, 5532, 17660, 343, 35585, 324, 2546, 275, 311, 248, 2874, 6148, 286, 11115, 2714, 2269, 10827, 276, 9091, 802, 188, 6784, 15571, 1193, 11267, 9661, 8158, 254, 7250, 3325, 4607, 188, 327, 14, 188, 1603, 4434, 324, 286, 14, 1619, 248, 12136, 25, 1038, 28196, 14, 41295, 20110, 254, 14, 54, 12087, 274, 248, 3243, 23141, 18, 963, 4235, 593, 324, 380, 3965, 15, 10313, 282, 633, 327, 1012, 1057, 4558, 5157, 2176, 14, 16, 688, 756, 963, 18, 16, 4457, 8979, 5495, 11221, 21, 637, 34362, 15979, 282, 31145, 32326, 3038, 324, 751, 45650, 390, 9317, 2784, 7705, 14, 1015, 27715, 26124, 5322, 483, 4549, 4497, 254, 1336, 1416, 510, 319, 7556, 19, 254, 2734, 18, 843, 20, 328, 21, 276, 272, 343, 85, 16296, 279, 7434, 3096, 276, 428, 4822, 282, 1361, 1999, 254, 398, 188, 368, 327, 607, 432, 4897, 34807, 4501, 254, 496, 248, 286, 15492, 188, 8861, 7303, 42677, 975, 457, 8492, 3371, 14, 11013, 1427, 5060, 254, 1336, 3269, 555, 14, 286, 33, 758, 407, 5532, 33022, 23773, 2304, 763, 1495, 33, 14, 43, 1845, 18, 29994, 743, 390, 1470, 374, 21047, 18, 16, 24791, 2984, 7909, 13034, 1196, 286, 254, 633, 18, 14, 272, 4945, 282, 311, 18, 1064, 188, 254, 734, 324, 16, 3051, 12519, 3270, 2135, 1395, 4698, 30611, 11176, 687, 1318, 3489, 311, 331, 1416, 286, 338, 3, 27143, 18362, 5592, 23, 1691, 624, 479, 282, 9839, 513, 12368, 43814, 6207, 13416, 374, 14395, 443, 328, 324, 561, 457, 1596, 275, 19076, 18, 5509, 18, 18300, 555, 1205, 311, 14, 2201, 4607, 30951, 719, 19137, 1575, 1493, 16, 14268, 14, 7943, 3083, 254, 2674, 3124, 6981, 18, 7845, 3327, 16, 6596, 248, 7270, 26, 328, 2722, 324, 324, 2728, 11115, 16, 1315, 374, 407, 436, 555, 2122, 16, 311, 465, 2318, 276, 3979, 476, 18, 2024, 561, 314, 286, 1982, 2023, 18, 12007, 282, 368, 14724, 7460, 2382, 512, 15, 2254, 328, 22757, 4745, 18, 1958, 254, 16, 12936, 188, 286, 188, 10786, 7460, 2348, 4044, 669, 4745, 671, 6567, 17527, 1964, 3596, 2421, 1502, 10563, 536, 276, 2030, 348, 282, 274, 248, 4610, 16, 387, 375, 13034, 16, 6081, 374, 9147, 801, 8718, 42865, 1033, 14, 18235, 16, 11984, 683, 5291, 248, 8680, 7315, 188, 8946, 14755, 1920, 11549, 13643, 25060, 12865, 21746, 274, 587, 1718, 16, 3965, 254, 6163, 16, 5194, 633, 4122, 432, 607, 11645, 254, 6495, 3965, 14, 5830, 1015, 274, 2065, 18, 282, 456, 14, 4476, 29868, 15777, 328, 255, 20, 848, 2065, 2009, 576, 1683, 1615, 348, 4131, 9496, 1270, 15189, 5961, 286, 16, 41295, 12572, 18, 343, 432, 6106, 7321, 272, 495, 20, 4095, 21121, 16, 11527, 16, 2411, 22, 327, 188, 43575, 13416, 41322, 16, 276, 687, 1362, 1361, 41295, 254, 23321, 54, 1218, 607, 85, 380, 30980, 4095, 12699, 11528, 510, 22, 276, 348, 368, 3184, 369, 5715, 248, 282, 311, 512, 311, 2072, 3577, 695 ]
[ 1, 4695, 14608, 24555, 246, 2492, 12237, 21113, 65, 1195, 85, 499, 1465, 1190, 16, 37184, 246, 14, 1402, 1210, 65, 2523, 7910, 75, 931, 253, 426, 306, 246, 426, 27506, 75, 8041, 6103, 65, 18, 18541, 342, 65, 35855, 1713, 65, 85, 477, 1546, 426, 246, 1465, 65, 17775, 8896, 2383, 17775, 65, 2492, 8896, 21593, 1622, 5744, 1465, 7, 246, 16, 7, 426, 3270, 487, 14, 1690, 65, 10979, 428, 487, 10641, 21593, 2413, 65, 35855, 10771, 10, 338, 4695, 21593, 246, 10979, 210, 16, 246, 2966, 39, 10, 3500, 558, 63, 65, 1465, 65, 65, 603, 1465, 4874, 72, 11, 8896, 15313, 487, 11, 274, 7365, 1877, 286, 8249, 684, 647, 10, 6613, 13783, 1465, 2316, 496, 40919, 35855, 65, 31479, 487, 65, 7365, 63, 16, 65, 1800, 6096, 1800, 4324, 10, 65, 684, 21593, 662, 20, 10440, 22851, 426, 5878, 28, 36, 276, 6096, 883, 13783, 3500, 21593, 65, 17775, 10, 487, 1733, 338, 18, 10, 7, 426, 426, 1465, 21593, 5744, 324, 1153, 17775, 14, 684, 63, 65, 17775, 65, 1465, 952, 428, 426, 34676, 19, 246, 487, 65, 75, 18, 65, 246, 883, 86, 371, 14661, 14, 10, 428, 6699, 6699, 1876, 1800, 10, 5397, 15654, 10, 65, 2492, 426, 65, 1402, 75, 1800, 375, 65, 85, 1563, 1984, 1465, 69, 14066, 926, 25945, 6699, 65, 61, 14, 21593, 85, 1465, 86, 10, 21593, 63, 426, 662, 3176, 19742, 1800, 10, 6096, 18, 246, 246, 37013, 65, 61, 65, 914, 61, 65, 75, 426, 65, 662, 426, 14066, 922, 276, 883, 5064, 3016, 903, 952, 434, 1465, 246, 61, 18541, 952, 18, 65, 1465, 35855, 475, 1210, 65, 1459, 1465, 6613, 246, 10, 75, 85, 3270, 2476, 14066, 496, 19, 9, 65, 23278, 38269, 14, 85, 1210, 10641, 2383, 6613, 65, 10979, 1465, 558, 558, 314, 85, 65, 5209, 65, 65, 487, 647, 2617, 61, 6373, 85, 1563, 18, 4207, 4874, 16, 6613, 14, 14681, 63, 1690, 3333, 3270, 14066, 85, 1800, 35855, 10, 1517, 1690, 41417, 15313, 28171, 19, 21593, 65, 10, 19, 246, 952, 1433, 3171, 15, 487, 10, 21593, 496, 86, 487, 31479, 95, 14661, 1800, 1465, 276, 10, 10, 36, 477, 75, 296, 16, 14, 2476, 1210, 914, 21593, 1465, 17775, 662, 9579, 20, 918, 11633, 47757, 16978, 10000, 35855, 3500, 10, 6613, 282, 65, 10730, 254, 10, 1465, 14661, 662, 696, 75, 257, 14066, 65, 684, 4207, 1690, 426, 2617, 10979, 246, 61, 65, 10979, 18, 31479, 647, 1210, 1465, 2940, 282, 428, 3270, 10, 4695, 2523, 35855, 3016, 10, 210, 63, 684, 75, 1402, 14, 4287, 65, 11, 15739, 11, 662, 2492, 1962, 426, 28, 21593, 352, 6613, 20, 10, 426, 65, 282, 65, 65, 7536, 65, 903, 65, 210, 65, 35855, 65, 1800, 296, 75, 684, 5474, 475, 375, 952, 4793, 487, 467, 3016, 1465, 1465, 426, 35855, 2414, 342, 662, 16, 487, 15313, 6373, 3270, 477, 61, 17, 6103, 2492, 246, 10979, 3500, 63, 375, 14066, 1402, 5474, 65, 1433, 65, 35855, 17775, 11305, 65, 18541, 19, 1563, 11, 12847, 14066, 6699, 684, 18, 324, 21593, 21113, 85, 26966, 10440, 903, 10, 8176, 65, 2413, 65, 65, 65, 65, 487, 75, 647, 16, 426, 28, 2413, 65, 1465, 4207, 477, 5474, 9051, 931, 16, 65, 4207, 65, 3270, 8516, 1190, 487, 487, 8041, 3193, 4287, 16978, 65, 14608, 63, 10979, 25945, 9579, 2590, 426, 1876, 254, 31479, 26966, 3500, 662, 61, 65, 2414, 3270, 10, 246, 14066, 662, 10, 426, 338, 10730, 16, 63, 839, 11, 1465, 883, 65, 24555, 1465, 487, 1800, 287, 18, 210, 65, 61, 246, 3270, 338, 21593, 7536, 61, 65, 662, 24555, 85, 65, 65, 662, 14661, 2316, 65, 1465, 61, 65, 428, 426, 883, 8035, 28, 287, 1563, 1690, 647, 4280, 375, 426, 3270, 65, 13783, 470, 426, 2383, 9346, 1465, 85, 65, 19, 28, 931, 10, 4874, 684, 314, 21593, 684, 35855, 647, 38631, 65, 4874, 246, 662, 14066, 18, 20, 65, 21593, 21593, 65, 696, 15, 296, 16, 65, 65, 282, 3016, 257, 14, 12424, 371, 16, 6699, 14066, 63, 9, 63, 9, 426, 477, 3185, 1800, 12, 477, 3500, 1465, 4874, 19, 63, 662, 487, 14, 61, 19, 80, 684, 20, 26363, 1563, 16, 1690, 2869, 487, 16, 26, 487, 1402, 1876, 324, 426, 8323, 65, 14, 672, 684, 85, 1800, 952, 6699, 18, 2492, 10, 11, 6699, 246, 10979, 1800, 63, 426, 16455, 246, 324, 21113, 61, 65, 65, 63, 5209, 558, 1465, 18, 475, 2383, 14, 47757, 18, 63, 477, 1195, 3016, 18, 477, 19742, 16, 274, 1800, 1465, 65, 16978, 19, 65, 65, 3880, 9348, 65, 428, 3163, 18, 647, 65, 558, 314, 25945, 7365, 23731, 719, 2383, 21593, 558, 3880, 65, 11, 662, 10979, 2492, 65, 9579, 426, 2492, 18, 85, 18, 1465, 65, 12, 3658, 248, 662, 1546, 65, 65, 65, 487, 2617, 1465, 18541, 65, 16, 19, 2383, 65, 15313, 10979, 19, 426, 1459, 75, 65, 684, 17775, 314, 6103, 10, 6103, 65, 21593, 1195, 11624, 6096, 426, 952, 1465, 47757, 2413, 475, 1090, 9855, 2193, 6613, 426, 10755, 47757, 276, 1162, 2492, 674, 662, 10641, 10730, 14, 72, 576, 5209, 16, 14066, 3270, 662, 3270, 65, 85, 10979, 2523, 9923, 246, 352, 17775, 210, 10979, 65, 18, 11, 5209, 3319, 6699, 276, 10979, 3171, 41938, 246, 63, 21593, 4874, 35855, 16, 11814, 2316, 253, 61, 65, 75, 6373, 5209, 1465, 19742, 10, 14, 65, 14, 16978, 360, 1210, 2476, 426, 662, 2414, 72, 31899, 3016, 11305, 647, 839, 65, 65, 210, 18, 63, 1800, 16978, 8041, 8041, 46971, 10979, 65, 65, 21593, 17775, 926, 63, 10730, 4533, 18, 254, 65, 65, 487, 426, 338, 14, 477, 65, 426, 17775, 65, 65, 3500, 639, 28171, 65, 1195, 65, 487, 1563, 26966, 487, 495, 11, 3500, 426, 65, 1465, 11, 210, 210, 36453, 20258, 8179, 3016, 13783, 311, 1465, 19, 35855, 65, 10979, 684, 61, 1800, 75, 65, 487, 1465, 662, 338, 2961, 65, 8516, 1465, 2617, 65, 63, 19, 16978, 4695, 662, 28171, 18308, 25945, 14, 65, 2383, 246, 1800, 63, 6613, 1622, 28, 6613, 1459, 371, 25945, 5301, 11, 16, 477, 496, 477, 19, 3270, 10, 14066, 65, 16, 4874, 426, 1563, 9, 11 ]
[ 1, 16, 36, 428, 16234, 3431, 254, 2629, 14, 30700, 14, 742, 4861, 7757, 686, 16, 773, 19827, 44700, 12810, 85, 2003, 16, 282, 1038, 14, 254, 13085, 6105, 8248, 14670, 1480, 775, 701, 742, 14, 775, 188, 25029, 3108, 6250, 2071, 16, 1223, 286, 12391, 1012, 9120, 16, 14, 16, 267, 7150, 772, 1111, 67, 1015, 17715, 16, 324, 29, 4282, 3417, 593, 254, 14, 2628, 254, 3694, 417, 32464, 353, 14, 5441, 328, 21491, 16, 188, 20859, 19864, 10351, 14, 616, 387, 616, 276, 3, 1090, 15001, 1205, 586, 642, 555, 3532, 1469, 286, 37632, 314, 701, 1663, 16, 311, 321, 434, 345, 663, 286, 946, 8, 286, 8309, 188, 434, 5288, 721, 38758, 248, 17196, 561, 16, 282, 265, 544, 7410, 16, 434, 12364, 19831, 1582, 16, 1141, 16, 6313, 1161, 2687, 507, 8682, 663, 5942, 14, 701, 1438, 497, 23709, 749, 11243, 14, 282, 520, 743, 520, 19478, 14, 49, 406, 370, 15858, 2079, 457, 721, 2023, 15356, 3233, 8248, 248, 22908, 16, 321, 944, 328, 4227, 1628, 311, 34035, 4518, 1143, 16364, 668, 29461, 7410, 476, 20629, 11867, 11233, 573, 395, 593, 434, 3396, 9861, 12832, 4801, 830, 520, 14, 3497, 276, 961, 3240, 4719, 327, 432, 1793, 13424, 457, 21859, 14, 807, 11, 27469, 436, 9648, 282, 942, 2019, 512, 1260, 374, 2427, 1970, 274, 457, 14033, 380, 20859, 804, 8825, 276, 30643, 6139, 16144, 1701, 14, 254, 21411, 370, 324, 12746, 6648, 1544, 1827, 274, 603, 12830, 12319, 286, 254, 383, 42, 387, 750, 29842, 188, 625, 1015, 14, 18, 687, 758, 414, 6100, 3364, 23308, 434, 4607, 14, 659, 248, 1223, 14, 555, 3587, 14, 16, 8753, 573, 663, 2287, 276, 839, 16, 21, 5898, 961, 548, 665, 40745, 457, 977, 8468, 16, 348, 4140, 616, 9120, 254, 27, 1427, 15, 457, 616, 274, 286, 2545, 35130, 11841, 14, 862, 12136, 573, 4698, 16, 434, 254, 188, 11342, 573, 441, 38861, 248, 32692, 254, 14557, 5887, 3122, 16888, 265, 33405, 16144, 10443, 601, 3709, 1464, 19792, 348, 8430, 7421, 86, 640, 369, 16, 520, 1110, 16, 3435, 2552, 2079, 7158, 1625, 369, 434, 15547, 14, 3026, 1223, 16, 311, 30934, 14, 3414, 16, 750, 4932, 85, 282, 2430, 4236, 9137, 1845, 188, 30757, 286, 8728, 12178, 401, 9861, 16, 434, 520, 5607, 16, 520, 3183, 33454, 616, 20908, 9120, 17915, 282, 1423, 29, 1377, 41942, 4851, 15, 22771, 29972, 286, 624, 520, 561, 641, 4866, 434, 4226, 14, 520, 16841, 286, 311, 273, 663, 254, 668, 43553, 248, 304, 4428, 16, 687, 9380, 16, 663, 775, 315, 14, 16, 254, 1026, 7320, 248, 616, 27529, 6037, 7410, 36, 345, 6000, 650, 5867, 282, 2482, 387, 8443, 327, 14, 254, 18279, 2253, 4518, 2900, 457, 775, 1045, 3870, 395, 14, 24896, 7642, 4351, 327, 444, 19042, 248, 43722, 47914, 345, 347, 1111, 1269, 641, 1111, 701, 520, 327, 16, 1469, 345, 3192, 286, 286, 1267, 28, 1268, 14, 16, 33161, 378, 311, 345, 30146, 2349, 31534, 86, 8487, 85, 14, 1438, 1110, 345, 17915, 7970, 520, 19, 476, 688, 2328, 807, 457, 321, 434, 16, 30850, 701, 15372, 1037, 1544, 701, 385, 626, 353, 8194, 683, 387, 671, 248, 676, 282, 428, 1564, 8, 512, 254, 417, 520, 16, 5495, 27, 1789, 889, 26638, 25339, 345, 343, 248, 286, 387, 254, 9888, 8946, 254, 3310, 682, 1487, 1606, 15946, 254, 254, 276, 28069, 33433, 248, 16, 47559, 286, 1304, 4565, 311, 248, 4597, 811, 532, 1449, 22389, 9259, 274, 1219, 16, 16, 9320, 494, 37386, 28, 16, 19090, 8202, 14, 286, 457, 520, 775, 282, 33, 807, 70, 1963, 327, 6979, 14, 0, 497, 328, 2072, 729, 3655, 85, 5105, 14, 282, 286, 42, 16144, 16, 1972, 0, 573, 345, 4756, 1469, 750, 1193, 1469, 580, 743, 636, 360, 345, 16, 1782, 1837, 663, 274, 353, 16, 248, 615, 254, 369, 2519, 441, 16, 512, 10153, 6234, 807, 527, 14, 1872, 16, 2780, 19, 248, 3064, 7664, 14, 8545, 5441, 16, 16, 14477, 573, 321, 20966, 331, 14, 4314, 6326, 3607, 3748, 434, 254, 4687, 43294, 1427, 276, 19246, 282, 1026, 21014, 22023, 18, 4778, 348, 2918, 569, 16776, 4518, 369, 1423, 1268, 8681, 274, 403, 2980, 282, 14, 38861, 839, 14, 17506, 14, 14, 1269, 188, 330, 7, 597, 10551, 668, 22409, 42, 387, 301, 273, 1970, 515, 345, 1652, 6477, 2430, 188, 23308, 7410, 7659, 2187, 18, 324, 980, 8825, 311, 14, 387, 587, 772, 7212, 321, 5230, 254, 0, 33405, 561, 254, 248, 1015, 15, 1037, 1304, 254, 19, 457, 14, 750, 286, 324, 11775, 7560, 2370, 286, 1773, 23123, 14, 811, 16, 188, 1703, 1963, 16, 16, 731, 15858, 33999, 368, 616, 4254, 14, 286, 37682, 353, 8840, 1438, 86, 345, 3732, 85, 5897, 11055, 772, 3240, 403, 3826, 742, 3470, 330, 276, 272, 345, 188, 25962, 10147, 324, 16, 14, 14852, 1152, 1268, 3905, 282, 520, 22742, 14, 2393, 1583, 432, 348, 663, 10050, 391, 13486, 23709, 624, 12115, 16, 434, 434, 2552, 67, 328, 775, 2151, 407, 40780, 1952, 31033, 8869, 188, 6211, 3133, 16, 0, 276, 4890, 2591, 390, 580, 3905, 42365, 14, 4874, 3102, 403, 616, 1143, 457, 451, 27677, 3690, 14600, 747, 743, 19, 29, 27, 16, 6154, 272, 8244, 345, 561, 20348, 327, 2370, 434, 701, 286, 616, 16, 14, 1652, 403, 16, 19090, 14, 324, 670, 561, 7970, 31666, 33470, 2900, 390, 18834, 1582, 2071, 3974, 2071, 328, 747, 3699, 34654, 4602, 14, 12830, 3032, 1193, 1755, 16, 436, 748, 188, 1903, 5979, 2891, 2876, 6105, 1045, 353, 1223, 1606, 742, 13067, 520, 452, 9157, 403, 16, 12830, 616, 1212, 70, 272, 16, 86, 387, 282, 1782, 5522, 434, 1547, 16, 625, 2843, 390, 282, 338, 328, 27, 327, 443, 2253, 683, 254, 16, 34162, 14, 1931, 1663, 14, 67, 5042, 748, 7626, 1469, 15259, 641, 10722, 772, 434, 520, 2287, 13306, 3306, 5602, 8539, 476, 16144, 434, 626, 15, 1628, 434, 2065, 29842, 6030, 878, 38861, 555, 276, 18838, 403, 4699, 2020, 520, 327, 1441, 39212, 274, 16, 13925, 27, 5002, 4, 38861, 26970, 15397, 10393, 843, 282, 16, 1181, 276, 311, 1837, 188, 14, 321, 23102, 428, 17256, 274, 9175, 382, 520, 16, 10722 ]
[ 1, 1800, 436, 1139, 9102, 33940, 282, 3005, 16, 5542, 2170, 2012, 18069, 477, 1139, 2880, 684, 2224, 16, 2245, 65, 390, 1806, 14, 65, 324, 38811, 8121, 19783, 16, 784, 11916, 34021, 1952, 927, 3199, 16563, 4, 11, 926, 11, 1453, 274, 8249, 684, 2192, 314, 14, 2517, 5542, 188, 314, 5, 65, 5542, 1369, 4078, 2386, 24318, 347, 7449, 8870, 188, 407, 65, 1477, 6283, 5, 6484, 24692, 65, 4493, 274, 188, 11, 16825, 16, 254, 456, 16, 80, 10, 17, 647, 10, 12386, 665, 210, 188, 476, 926, 65, 11252, 475, 10, 14, 9083, 282, 684, 47831, 18069, 10, 1041, 21795, 1308, 9506, 477, 16, 311, 9187, 4906, 7513, 353, 10777, 477, 476, 9867, 188, 16, 63, 5, 477, 13882, 65, 11519, 28, 1369, 2629, 65, 22344, 65, 5078, 5542, 14, 8509, 14, 65, 9867, 16, 915, 5078, 14, 5078, 9867, 314, 47066, 14439, 2525, 38811, 841, 4078, 78, 2049, 85, 28, 665, 188, 684, 2384, 1554, 779, 1996, 210, 20349, 11916, 3374, 188, 65, 188, 9867, 4081, 20, 19686, 8037, 12029, 390, 477, 61, 9, 4493, 3933, 2426, 13575, 7109, 2024, 10, 9424, 10, 1076, 10, 5542, 1358, 586, 57, 470, 6625, 5, 647, 33940, 7331, 11162, 188, 751, 16, 684, 665, 1308, 38811, 12617, 3841, 2349, 65, 534, 65, 684, 65, 188, 286, 1465, 40476, 19686, 18293, 477, 14, 80, 2224, 8896, 65, 7449, 11581, 282, 1308, 10, 475, 5, 10, 4504, 477, 477, 751, 11, 16563, 38811, 477, 647, 926, 534, 188, 3107, 374, 9424, 254, 477, 25644, 254, 1574, 28, 647, 11162, 5542, 11, 314, 274, 24915, 3374, 65, 3005, 16751, 348, 684, 5, 188, 470, 784, 426, 7446, 14, 10, 71, 3107, 314, 40855, 20357, 426, 2063, 684, 65, 2623, 587, 477, 5550, 1308, 53, 86, 86, 40444, 791, 65, 27985, 188, 24064, 2192, 254, 21584, 390, 2012, 30180, 254, 1554, 264, 282, 477, 12386, 11162, 2865, 11162, 477, 432, 42621, 29, 2517, 22458, 7954, 31590, 426, 9867, 5, 665, 18293, 4608, 40113, 188, 17, 1139, 280, 311, 5542, 16563, 3199, 63, 2192, 426, 22344, 4, 59, 65, 647, 5669, 254, 274, 426, 11, 1358, 17, 3107, 188, 3933, 477, 286, 477, 1347, 1554, 38811, 647, 10, 14, 28, 188, 188, 426, 1139, 477, 426, 2684, 16563, 9867, 825, 417, 6454, 532, 477, 34021, 10, 282, 2466, 1042, 534, 2462, 20242, 28, 2426, 282, 3065, 477, 756, 16563, 188, 40113, 2684, 1510, 1067, 13987, 65, 1308, 17557, 5542, 65, 353, 35518, 5, 16563, 59, 188, 2000, 16, 6516, 476, 2192, 751, 1574, 27576, 15136, 8121, 14588, 1795, 9506, 2880, 5141, 41300, 1002, 17, 1347, 188, 684, 8121, 188, 38811, 11865, 1390, 16563, 7513, 254, 9424, 20560, 684, 1390, 2024, 2878, 477, 3584, 338, 3409, 2880, 6161, 14, 16563, 603, 791, 474, 1030, 9083, 38811, 2170, 7260, 5542, 1360, 1390, 5, 13987, 65, 403, 1369, 274, 15, 12659, 11581, 16825, 11702, 477, 633, 8249, 5542, 188, 311, 314, 791, 44438, 86, 314, 7109, 11702, 16, 43562, 14, 647, 11162, 5, 11162, 684, 31311, 254, 188, 10195, 2426, 28, 65, 11916, 9102, 5542, 9102, 324, 470, 276, 29, 3584, 417, 188, 20, 347, 314, 5542, 6283, 311, 4005, 31651, 477, 14, 2063, 3571, 61, 2462, 188, 314, 1395, 3378, 426, 10, 11162, 4608, 830, 44579, 47066, 314, 188, 47831, 5770, 248, 30304, 16367, 65, 17, 5313, 426, 4360, 65, 20357, 927, 282, 274, 188, 65, 13882, 188, 647, 3291, 33940, 2462, 14, 1142, 477, 477, 647, 11702, 188, 1323, 1938, 28, 65, 2224, 32661, 1013, 586, 550, 2551, 477, 16563, 47831, 11641, 188, 276, 7286, 10, 5, 314, 933, 1139, 9187, 2512, 314, 5669, 27346, 477, 7550, 314, 12474, 4493, 14, 477, 314, 1390, 282, 23596, 4608, 477, 16825, 426, 16, 65, 5659, 16563, 65, 16563, 3841, 1806, 477, 684, 20, 188, 1541, 5813, 16563, 43562, 2170, 28, 1308, 3457, 2629, 21488, 1806, 1369, 6516, 314, 188, 586, 314, 85, 543, 5, 14, 28, 791, 16, 16563, 38811, 3374, 3199, 477, 65, 254, 390, 477, 5542, 62, 9187, 16563, 1146, 477, 926, 24915, 16367, 2192, 348, 57, 34021, 10, 8509, 647, 647, 86, 477, 11916, 4906, 41809, 188, 1269, 282, 14, 477, 647, 65, 14, 647, 758, 684, 2386, 14, 53, 1308, 25606, 2169, 1360, 38811, 7513, 1041, 1390, 11916, 85, 1579, 11162, 2337, 16563, 18543, 29, 9102, 38811, 3652, 16563, 13882, 2024, 11, 8867, 188, 261, 5105, 14, 256, 5542, 1142, 19517, 3005, 926, 684, 14996, 603, 11916, 11, 11, 80, 65, 13882, 477, 5141, 4797, 5542, 261, 477, 9436, 1076, 28, 3107, 9975, 11, 38811, 476, 27521, 65, 826, 477, 254, 1286, 286, 65, 2386, 65, 27985, 1510, 452, 14, 10852, 4493, 31651, 11, 390, 16563, 477, 65, 477, 499, 477, 534, 65, 426, 65, 17036, 47831, 311, 274, 2192, 16, 9867, 477, 426, 18543, 684, 684, 684, 41, 2880, 13882, 188, 20357, 16563, 898, 47831, 8537, 477, 5, 1210, 311, 477, 3986, 16, 647, 2517, 16563, 65, 11162, 282, 2497, 9741, 17600, 477, 9102, 1308, 65, 426, 14, 744, 1510, 14, 3584, 4078, 11916, 476, 1146, 4608, 1574, 10, 684, 1139, 13855, 11, 2012, 66, 971, 1333, 261, 624, 40855, 257, 390, 11641, 324, 274, 477, 53, 1308, 11, 2426, 477, 647, 2880, 33940, 1903, 13882, 65, 5141, 62, 16563, 11865, 5542, 11865, 28, 534, 16, 7449, 0, 477, 33041, 2192, 324, 188, 45098, 477, 188, 14, 532, 16, 1510, 477, 65, 495, 417, 14, 9506, 17557, 16, 23596, 1076, 314, 2360, 5105, 5542, 19917, 475, 71, 188, 1477, 426, 475, 18914, 426, 826, 4139, 2525, 14, 2614, 353, 1076, 11641, 330, 11916, 8909, 477, 477, 25032, 2880, 4917, 13882, 5105, 4, 10, 248, 475, 5542, 28, 19513, 477, 314, 15, 188, 1308, 9867, 477, 188, 1210, 5, 684, 63, 16652, 9650, 65, 254, 16, 5, 628, 31590, 321, 1510, 5, 5542, 1390, 38811, 38457, 11033, 38811, 6474, 347, 31311, 1819, 11, 826, 647, 5, 9187, 14996, 1579, 16563, 343, 3107, 38811, 24915, 71, 14, 7449, 603, 11, 327, 2466, 1308, 261, 16, 2684, 26350, 34021, 3933, 9102, 1076, 11916, 31590, 1142, 2426, 3737, 368, 4173, 653, 282, 10, 9867, 65, 5139, 477, 20944, 188, 16825, 475, 44579, 42621, 28, 6171, 1358, 30304, 926, 16 ]
[ 1, 11, 42143, 1262, 28, 426, 603, 42143, 16, 28, 10527, 4846, 14395, 26397, 85, 647, 188, 44085, 1465, 3023, 4737, 16563, 32256, 16, 270, 7481, 647, 3026, 3178, 7481, 46177, 9431, 543, 3023, 8904, 2025, 3245, 10385, 2335, 477, 65, 44085, 14, 63, 647, 3584, 16, 28, 1819, 10, 65, 65, 65, 4737, 1541, 31311, 65, 3178, 65, 16, 367, 3175, 13323, 7704, 647, 11504, 1465, 28, 7443, 1827, 1384, 3175, 3023, 11555, 22016, 870, 3023, 9431, 16, 258, 13323, 16, 46, 65, 16, 95, 1204, 8239, 28, 1142, 13616, 3023, 264, 2176, 22016, 7910, 2002, 647, 5795, 31, 6726, 20, 72, 4015, 10, 1554, 16, 875, 18453, 11, 21862, 7443, 62, 13392, 3023, 926, 7443, 426, 82, 1510, 31, 4629, 3104, 3178, 19297, 72, 28336, 264, 65, 16, 347, 1369, 1952, 3839, 10527, 2719, 10284, 191, 13323, 2176, 10, 18, 11567, 191, 35980, 22016, 2805, 3839, 14395, 10, 3178, 282, 12295, 26693, 647, 16364, 3023, 32931, 1262, 9594, 1510, 2750, 1530, 28, 16, 65, 273, 2719, 11, 791, 867, 10, 14395, 1827, 2192, 813, 65, 5735, 14802, 11151, 28, 11, 2335, 1719, 9284, 375, 187, 477, 188, 14395, 65, 187, 2719, 2688, 7443, 3270, 59, 65, 426, 34121, 10, 1356, 25666, 13392, 188, 3104, 367, 11, 1262, 3270, 8983, 3175, 324, 2335, 3839, 10527, 11, 477, 28336, 7910, 187, 1076, 14395, 11, 426, 19, 1827, 14, 26693, 276, 1554, 7954, 22830, 4, 2192, 3104, 2192, 804, 1262, 13575, 14, 16, 258, 647, 543, 3178, 8626, 16563, 8239, 16, 1554, 20, 426, 34676, 276, 1176, 2335, 7147, 39, 25666, 10134, 85, 926, 248, 14, 16231, 82, 28966, 11, 1320, 347, 7069, 324, 17, 3839, 647, 14, 19297, 31, 1465, 53, 16, 477, 647, 17612, 65, 647, 2335, 2855, 647, 3023, 14, 647, 258, 13651, 11, 93, 647, 7481, 32931, 85, 65, 1262, 31, 16, 188, 28, 603, 35980, 9716, 2335, 647, 18453, 3023, 28, 426, 273, 16, 349, 2176, 85, 1073, 804, 4166, 4, 11, 1827, 16, 31, 1465, 22026, 38, 72, 11555, 65, 11, 65, 16, 188, 18, 349, 65, 2002, 426, 14, 2719, 11, 2305, 21862, 10527, 65, 9763, 647, 684, 18, 985, 875, 17612, 19, 1021, 1781, 347, 3104, 258, 13392, 63, 426, 16, 1819, 22026, 8721, 426, 2192, 4846, 35436, 16, 1827, 65, 22016, 19297, 867, 82, 4608, 704, 2192, 426, 432, 191, 647, 187, 65, 477, 426, 875, 4145, 10, 65, 11, 65, 870, 7073, 704, 17673, 647, 16, 187, 2682, 16, 477, 2002, 2855, 10, 2192, 804, 65, 1262, 985, 647, 647, 28, 1574, 324, 426, 2855, 39016, 1076, 15166, 65, 391, 62, 65, 2305, 3678, 65, 269, 804, 3195, 3104, 41779, 647, 3104, 3228, 1076, 11, 926, 426, 11, 391, 10, 71, 8553, 426, 2002, 5173, 3023, 14, 10, 1465, 16, 85, 9417, 187, 258, 3245, 73, 13997, 28, 82, 1510, 11, 65, 10, 14802, 16, 16, 16, 65, 4846, 14, 4015, 11555, 14395, 11, 6343, 16, 22016, 285, 2335, 65, 321, 31311, 4623, 46, 2192, 16, 550, 11, 4082, 7481, 1554, 5735, 2719, 1465, 10527, 343, 4846, 1819, 2682, 276, 1530, 82, 82, 71, 16, 65, 21862, 13106, 3350, 543, 85, 1375, 10527, 10, 5795, 4271, 46, 17612, 3270, 282, 7481, 33185, 7443, 10, 18, 11, 7443, 11555, 347, 11, 14395, 14395, 3104, 269, 7481, 41058, 1067, 647, 16239, 47616, 1952, 10, 347, 804, 1065, 7456, 3245, 191, 13616, 65, 630, 477, 10134, 630, 10337, 9763, 477, 28, 65, 14, 321, 3270, 65, 426, 2002, 3333, 28, 188, 188, 534, 10, 1827, 65, 63, 65, 1320, 11169, 3026, 65, 18, 9594, 9284, 187, 16, 9417, 3839, 1076, 5735, 21423, 426, 14, 46, 1176, 16, 28, 11169, 4, 36685, 10, 46, 269, 22016, 1554, 65, 65, 10, 2305, 1479, 426, 269, 191, 16, 13323, 2002, 9594, 16, 188, 19, 3270, 16, 477, 22016, 11, 1574, 426, 45158, 16, 65, 187, 347, 22016, 32931, 269, 7481, 191, 926, 285, 426, 647, 11, 437, 276, 39, 324, 4, 3839, 10, 3685, 31, 10, 1530, 1530, 3839, 18, 11, 34121, 85, 539, 477, 65, 367, 426, 2238, 1375, 28, 14395, 647, 65, 10, 82, 65, 10, 647, 1320, 4608, 65, 65, 1067, 1262, 2305, 28336, 1551, 8904, 41058, 9594, 3178, 647, 16680, 187, 8553, 14, 35436, 3104, 1465, 32018, 875, 16, 32553, 4846, 9417, 14226, 1952, 2335, 32553, 3839, 10527, 870, 302, 3175, 8406, 1465, 14, 1530, 2176, 426, 985, 16, 4846, 2192, 2305, 65, 1320, 298, 23442, 3270, 16, 1262, 65, 188, 65, 4, 4145, 29094, 349, 3678, 3839, 65, 276, 85, 21423, 3839, 2002, 10, 32531, 10527, 328, 324, 31, 1551, 295, 14, 347, 19, 2002, 9, 10, 2192, 16, 3195, 19, 32931, 647, 65, 3178, 2335, 7443, 65, 72, 349, 16, 10, 4629, 426, 22393, 258, 1574, 926, 264, 11151, 16, 63, 18453, 4, 1554, 426, 65, 16, 647, 2855, 16445, 7481, 647, 4166, 349, 543, 25, 347, 11, 3245, 9431, 12295, 1142, 477, 63, 7443, 191, 7481, 2176, 10, 426, 2002, 34509, 65, 11555, 13616, 65, 347, 14395, 391, 2621, 7443, 65, 1465, 95, 9594, 4846, 1262, 3584, 477, 1493, 0, 10527, 1071, 10, 1320, 188, 3270, 14, 28, 276, 3270, 324, 1827, 1339, 16, 65, 14, 9867, 1719, 14, 1554, 3023, 3023, 7481, 1465, 543, 10, 65, 14049, 33185, 16, 28, 1530, 11, 1510, 29094, 14, 1551, 16231, 3839, 85, 65, 4846, 17612, 258, 5318, 276, 3023, 16, 10, 16, 16, 187, 8721, 65, 16, 7443, 65, 59, 17612, 10337, 188, 9594, 12295, 31, 14, 16, 2002, 3933, 14, 1076, 22016, 65, 926, 8626, 3350, 258, 14, 258, 1551, 65, 10, 4737, 347, 72, 65, 65, 10, 10, 12684, 426, 73, 5173, 42143, 3839, 11, 11555, 1339, 647, 2912, 65, 10527, 34783, 2689, 9431, 46, 11504, 65, 188, 7481, 22786, 10, 65, 191, 13575, 3175, 22016, 347, 43739, 65, 7741, 16, 1210, 16, 85, 20, 10134, 65, 276, 7443, 11, 15405, 3333, 3245, 65, 10, 3719, 1067, 4608, 3839, 3584, 188, 10, 14, 1196, 426, 2224, 10284, 3104, 477, 9431, 477, 1465, 1262, 65, 2305, 603, 11033, 65, 14, 7260, 14, 426, 4, 2688, 246, 3578, 9417, 29094, 1142, 558, 65, 1551, 4271, 10096, 339, 10, 36723, 15859, 647, 17612, 10527, 28, 65, 34509 ]
[ 1, 481, 8735, 25470, 254, 8681, 7702, 14, 324, 23527, 6053, 4356, 16, 282, 37293, 348, 1970, 5534, 16, 21, 324, 751, 399, 282, 21132, 27087, 441, 272, 4320, 1460, 12890, 324, 27126, 374, 476, 46641, 353, 8478, 387, 1074, 1427, 14, 313, 311, 1368, 16, 188, 311, 6779, 27263, 16, 1129, 14, 802, 26041, 9723, 587, 580, 311, 353, 282, 2320, 1368, 39757, 324, 282, 8513, 1640, 2622, 272, 476, 14, 14, 7090, 671, 3005, 5166, 274, 939, 10504, 188, 286, 12968, 7331, 311, 348, 1903, 1920, 282, 14, 15, 10377, 368, 7732, 368, 2736, 12968, 1903, 2874, 1343, 38160, 14, 6597, 248, 16769, 933, 282, 7891, 8735, 28, 282, 1368, 1516, 8020, 1056, 39757, 254, 2874, 7089, 369, 17452, 16, 324, 311, 1316, 5696, 368, 883, 286, 3831, 286, 23, 18, 2802, 16, 953, 533, 4684, 9654, 21, 3139, 476, 14659, 37800, 3430, 1368, 1183, 14659, 1045, 248, 1585, 7414, 14, 16, 3783, 5157, 28098, 3083, 282, 4503, 12487, 21, 580, 14, 16, 1527, 8265, 3737, 14, 254, 33, 939, 54, 14129, 7406, 1908, 321, 286, 328, 274, 403, 67, 2010, 248, 5278, 1285, 328, 368, 286, 12832, 1395, 15, 41625, 17385, 10027, 15895, 327, 58, 303, 314, 14, 555, 765, 3783, 5964, 282, 86, 188, 3418, 768, 432, 327, 324, 4236, 328, 248, 4237, 452, 286, 7732, 16, 387, 16, 407, 2063, 10769, 587, 7470, 188, 2849, 15, 19870, 4513, 27543, 14, 286, 1982, 8766, 16, 8709, 14, 14, 254, 4105, 11014, 16, 6059, 1026, 254, 39757, 31056, 398, 390, 254, 4524, 872, 432, 14, 26, 390, 33762, 188, 282, 1316, 889, 282, 321, 4250, 36579, 2041, 20083, 1412, 324, 2956, 2367, 3608, 671, 1297, 3106, 81, 23, 679, 2320, 387, 11477, 843, 3268, 403, 4349, 254, 2960, 13916, 1908, 14, 1286, 343, 35530, 368, 374, 1074, 368, 282, 47530, 14, 35417, 423, 324, 272, 476, 743, 417, 368, 7090, 14, 2874, 1999, 2512, 633, 2706, 14, 14064, 16, 1096, 7286, 1982, 282, 2127, 436, 12968, 3462, 14593, 345, 26, 11873, 493, 8671, 3956, 363, 276, 29355, 354, 3425, 14, 5301, 311, 4254, 286, 20927, 22346, 1253, 14, 57, 34109, 5961, 5256, 24720, 10263, 35530, 14, 1982, 3801, 263, 307, 2859, 495, 16, 85, 1903, 3831, 747, 15, 324, 33, 16, 16, 14, 7891, 4513, 9347, 39279, 8745, 22142, 432, 274, 633, 2010, 4105, 33379, 15557, 1996, 4931, 756, 3469, 13259, 12968, 188, 403, 4311, 3116, 432, 457, 21821, 10972, 311, 1012, 328, 7559, 24720, 16, 536, 74, 321, 2433, 7395, 14745, 1063, 889, 254, 843, 22296, 328, 665, 390, 1648, 39757, 16769, 16, 286, 353, 2102, 1577, 3238, 188, 18, 15538, 14, 756, 444, 188, 16, 19419, 368, 47576, 1125, 1081, 286, 16769, 961, 436, 19164, 390, 35417, 2730, 3269, 9863, 2868, 5867, 327, 47530, 324, 390, 11282, 944, 368, 35417, 282, 2063, 311, 14, 1996, 4282, 603, 390, 9863, 15246, 40558, 19684, 368, 28108, 670, 2875, 839, 18920, 1253, 313, 274, 282, 368, 3532, 16, 33454, 368, 16, 353, 476, 39757, 1096, 2063, 248, 16, 38232, 39757, 633, 47, 19, 16, 324, 1286, 311, 328, 2133, 17076, 554, 387, 4124, 0, 38435, 5732, 4774, 25448, 14, 9723, 324, 22774, 513, 889, 436, 254, 4250, 2066, 659, 276, 8709, 354, 13966, 2622, 5529, 368, 42495, 35513, 15621, 254, 188, 254, 21, 39757, 624, 3, 1057, 286, 16, 328, 10704, 313, 5968, 3737, 286, 8, 282, 5961, 2066, 4032, 16, 27055, 619, 11, 188, 16769, 4503, 310, 889, 16, 248, 476, 17302, 33, 387, 272, 16, 14, 1580, 16, 1516, 14, 587, 1044, 18, 14, 368, 282, 368, 3692, 580, 188, 5565, 311, 6260, 286, 248, 6126, 248, 665, 4282, 835, 368, 387, 28520, 38232, 14, 9404, 35417, 869, 286, 24860, 47901, 282, 360, 14, 1817, 3379, 321, 33, 23429, 669, 9487, 4436, 751, 18980, 14, 286, 1648, 2107, 42495, 16769, 1996, 40309, 1412, 763, 35242, 12957, 286, 615, 5166, 663, 668, 1872, 390, 8185, 668, 1970, 521, 324, 6123, 2214, 286, 2482, 248, 248, 7274, 25535, 6211, 23429, 4467, 56, 1755, 14586, 282, 403, 279, 13030, 16, 2367, 286, 669, 286, 18662, 8901, 3629, 375, 16, 272, 5692, 5761, 4513, 333, 756, 5081, 6834, 747, 5532, 7090, 887, 1527, 34715, 476, 1648, 14583, 47530, 14, 7090, 8857, 476, 328, 2497, 759, 16, 33, 15538, 188, 437, 2501, 378, 254, 348, 254, 2433, 7675, 6448, 368, 9404, 843, 390, 432, 5695, 890, 311, 9404, 2063, 35530, 1581, 14311, 2874, 0, 4503, 2876, 18, 188, 915, 286, 286, 963, 963, 2081, 452, 368, 2819, 248, 576, 887, 510, 19784, 3575, 3598, 17740, 9738, 603, 10665, 1798, 14480, 248, 5146, 1316, 286, 16, 2764, 671, 282, 7012, 633, 3916, 1162, 39821, 441, 436, 2284, 3135, 663, 16, 328, 42560, 2997, 324, 254, 254, 254, 4436, 313, 390, 13259, 15557, 11330, 3379, 254, 188, 81, 7559, 26883, 25841, 354, 633, 286, 276, 748, 1368, 10637, 737, 621, 4105, 286, 3587, 353, 15, 4987, 3189, 633, 35417, 2858, 354, 4513, 282, 282, 16, 14, 3417, 2231, 1847, 2706, 286, 1656, 35417, 16, 14618, 1781, 1845, 2257, 0, 282, 1247, 5879, 887, 25470, 254, 7090, 298, 536, 18, 2010, 643, 29, 729, 5053, 390, 20, 276, 368, 14256, 286, 4743, 22636, 1450, 7045, 33, 188, 338, 188, 254, 368, 368, 10377, 28, 42495, 17965, 14, 2876, 14, 248, 28216, 3395, 54, 328, 390, 23429, 1613, 274, 16, 15, 254, 311, 3379, 633, 583, 374, 282, 324, 353, 432, 407, 188, 188, 20368, 670, 286, 679, 476, 1052, 34, 255, 641, 3585, 3260, 16, 910, 14, 16, 286, 188, 889, 4536, 18920, 889, 324, 4474, 774, 23327, 1074, 2374, 555, 5692, 872, 2982, 295, 19, 274, 669, 423, 286, 1270, 2501, 282, 286, 792, 887, 15445, 2586, 36409, 889, 274, 276, 16, 286, 848, 10271, 1330, 1603, 2432, 16, 274, 23429, 13259, 14, 21154, 5998, 272, 3425, 16769, 45232, 1606, 254, 2996, 5961, 348, 286, 248, 2868, 188, 286, 2515, 1689, 2672, 39757, 2858, 324, 14053, 19, 825, 6211, 6333, 1574, 274, 34109, 327, 18, 16, 14, 390, 6211, 314, 311, 512, 10436, 36995, 14, 286, 11660, 32267, 423, 4806, 368, 14, 6579, 587, 25470, 4105, 274, 8418, 452, 6593, 248, 12957, 303, 188, 7359, 1212, 27872 ]
[ 1, 14006, 4753, 21, 23, 20, 18, 21, 5313, 18, 18, 4466, 18, 18, 71, 25, 20, 18, 300, 347, 18, 35, 16, 1551, 14006, 16, 18, 1079, 20, 9519, 9519, 18, 19, 18, 9376, 27, 18, 521, 853, 20948, 18, 9519, 2719, 347, 2719, 12573, 16759, 18, 426, 71, 18, 347, 302, 18, 16759, 9665, 11, 1551, 25, 18, 18, 19, 22, 26, 18, 347, 35, 2719, 19298, 5313, 630, 15, 18, 18, 521, 65, 16, 18, 3500, 9665, 18, 1077, 18, 27, 18, 18, 18, 68, 65, 2344, 18, 16, 18, 70, 28, 5313, 21, 10, 18, 16, 18, 426, 24, 521, 1465, 11916, 16759, 61, 18, 18, 18, 18, 4753, 61, 18, 347, 20, 567, 521, 19, 21, 18, 1534, 1035, 14006, 61, 18, 18, 23, 65, 16759, 18, 426, 61, 21, 521, 647, 9519, 18, 27, 18, 26, 19, 567, 10, 18, 295, 28, 18, 14, 18, 27, 1079, 19298, 14638, 9519, 19, 647, 4937, 521, 300, 19, 35, 251, 18, 477, 477, 18, 18, 18, 521, 9519, 3500, 20, 2719, 2719, 27, 1465, 10309, 20, 10, 1077, 18, 9519, 20, 3500, 6315, 16011, 10740, 18, 14006, 2484, 12573, 5238, 14006, 35, 18, 7630, 3500, 22934, 300, 65, 426, 24, 1551, 16, 18, 347, 3500, 1077, 18, 67, 18, 4678, 16, 24, 20, 1079, 18, 1551, 1551, 19, 6185, 22, 18696, 20, 567, 35, 27820, 15, 35509, 35, 18, 18, 20, 1443, 22343, 18, 18, 18, 1465, 347, 9519, 18, 3500, 23, 21, 18, 2192, 18, 15, 647, 16011, 5313, 295, 14, 1067, 20, 521, 20, 61, 26, 18, 15, 18, 71, 5313, 18, 18, 22934, 19298, 9519, 251, 18, 18, 512, 19, 2719, 2719, 19298, 21, 35, 65, 68, 477, 6185, 346, 18, 9, 18, 89, 647, 477, 14006, 18, 9, 1077, 14, 477, 3064, 521, 18, 21, 14006, 18, 477, 19, 1359, 343, 1003, 21, 9665, 16, 24, 1079, 18, 1551, 18, 18, 18, 647, 343, 18, 26, 65, 3064, 25, 3064, 21, 26, 69, 18, 65, 31311, 477, 1551, 2719, 2719, 18, 1551, 27, 15, 20, 3500, 18, 18, 10, 20, 18, 300, 251, 18, 28, 10445, 5216, 18, 19, 2719, 18, 18, 29671, 61, 18, 18, 5313, 21, 18, 2719, 18, 69, 9519, 5313, 18, 18, 1079, 426, 10, 347, 11016, 647, 20855, 18, 24, 477, 10, 26, 25, 14006, 19, 18, 20, 1551, 27, 23, 19, 20, 19, 18, 1855, 521, 302, 20, 426, 35, 27, 18696, 18, 521, 18, 18, 18, 4862, 1067, 18, 70, 18, 11, 16, 346, 16, 11191, 16, 10, 346, 20, 18, 72, 521, 26, 69, 23, 985, 69, 65, 12494, 18, 35, 18, 19, 521, 9, 18, 1079, 18, 19, 20, 70, 18, 4678, 89, 18368, 346, 20, 346, 18, 35, 18, 9607, 521, 16, 477, 65, 68, 65, 477, 18, 295, 72, 426, 18, 2026, 1079, 1067, 18, 24, 18, 7630, 18, 65, 10, 5216, 18, 1510, 985, 5868, 295, 24, 9607, 24088, 521, 2057, 67, 18, 14006, 28, 9519, 22, 14006, 22, 20855, 18, 20, 477, 21, 18, 18, 346, 20, 1003, 1003, 477, 18, 20, 1465, 21, 18, 1077, 1465, 343, 18, 4753, 853, 521, 477, 20, 18, 71, 18, 21, 1077, 27, 16, 18, 985, 4678, 18368, 18, 27820, 14438, 18368, 65, 20, 1067, 39, 3684, 251, 18, 18, 20948, 985, 343, 295, 1079, 23, 20, 18, 18, 647, 343, 18, 2057, 31, 3500, 18, 18970, 9519, 68, 3500, 14638, 521, 18, 27, 18, 16, 2719, 346, 65, 19, 18, 1077, 5216, 419, 521, 18, 18, 18, 4753, 35, 7773, 19, 20, 70, 18, 521, 647, 477, 1077, 65, 18, 18, 6185, 251, 20948, 26, 20948, 9, 18, 18970, 18, 16, 65, 21, 14438, 22, 24, 1443, 18, 347, 10, 343, 18, 3500, 14006, 21, 18, 22934, 18, 18, 61, 4753, 343, 18, 10445, 10, 28, 25, 27820, 18, 61, 65, 35, 14, 23, 985, 1079, 27, 18, 9519, 647, 1551, 477, 251, 9376, 2719, 18, 24, 26, 9, 2719, 2719, 10740, 18, 251, 89, 14006, 28, 2719, 19, 300, 346, 20, 20855, 29671, 985, 18, 18, 9, 343, 647, 22, 65, 512, 12494, 521, 16, 10, 5216, 295, 9519, 20, 19, 9519, 6185, 477, 21, 89, 23, 24088, 426, 1077, 7630, 2719, 70, 70, 21, 23, 23, 521, 18, 1534, 18, 18, 26, 71, 2719, 5216, 10297, 16, 9519, 65, 26152, 28, 18, 35, 27, 42524, 6185, 3500, 18, 477, 1551, 295, 18, 9665, 22, 18, 18, 1056, 16, 521, 346, 22934, 68, 300, 18368, 1067, 65, 11, 61, 300, 65, 9, 18, 14438, 18, 521, 426, 18368, 35, 18, 18, 419, 35, 21, 5216, 9665, 22, 18, 61, 18, 18851, 18, 20, 15, 21, 347, 6484, 16, 70, 18, 25, 27, 20, 2719, 65, 15226, 18, 18, 4774, 6185, 20948, 18, 61, 18, 18, 9665, 9519, 65, 70, 18851, 28, 26, 89, 2694, 419, 70, 65, 18, 16759, 1855, 21, 5313, 1077, 2719, 18, 71, 477, 18, 3500, 71, 22, 27, 1465, 347, 22, 70, 18, 11016, 2719, 973, 18, 27, 21, 1079, 10, 70, 10, 295, 18, 477, 18, 346, 10, 11016, 477, 16, 2719, 20, 300, 295, 647, 477, 20, 19, 22, 18, 27, 20, 25, 9665, 14438, 9607, 647, 419, 25, 61, 10740, 27, 18, 477, 18, 1551, 1079, 16759, 2719, 65, 343, 28, 9665, 16, 419, 12494, 20948, 3500, 188, 19, 1847, 19, 72, 18, 2719, 68, 1079, 2484, 18, 29975, 9, 14006, 295, 567, 3500, 567, 23, 27820, 15226, 5313, 426, 14006, 347, 14006, 1551, 20, 35, 9, 20855, 25, 65, 1079, 61, 29975, 61, 11191, 22, 19, 19, 67, 42524, 69, 27820, 477, 28, 18, 3064, 18, 18, 20, 18, 521, 9189, 32467, 295, 14438, 23, 18, 4, 18, 346, 5313, 426, 20, 16, 70, 347, 18, 1864, 18, 5313, 1077, 18, 18, 18, 26, 18, 10, 18, 18, 28, 2719, 1077, 65, 18, 15226, 647, 9, 521, 16759, 18, 71, 985, 18, 9, 28, 14006, 69, 347, 19298, 14006, 18, 343, 300, 19, 20948, 2719, 18, 14006, 1551, 16, 18970, 343, 4678, 300, 18, 10309, 18, 35, 70, 27820, 42524, 14438, 477, 346, 18, 18, 10445, 22, 26, 188, 1067, 65, 1551, 300, 27, 14638, 18 ]
[ 1, 16, 12078, 27756, 274, 1631, 27, 85, 3005, 282, 36201, 12208, 1360, 14, 14, 272, 348, 466, 533, 274, 561, 2705, 282, 466, 14, 274, 1507, 457, 9709, 476, 380, 4434, 14, 479, 16010, 796, 1389, 756, 41847, 274, 1002, 274, 26110, 626, 1397, 7340, 85, 85, 2314, 2314, 10597, 8035, 345, 248, 2482, 1045, 286, 276, 563, 248, 3339, 457, 18, 479, 311, 282, 5682, 16, 624, 387, 27421, 4780, 785, 732, 819, 14, 1051, 16, 14, 349, 5150, 272, 310, 1045, 27, 2739, 85, 27, 5722, 19, 282, 360, 6119, 14, 6905, 274, 282, 1045, 4313, 4631, 311, 836, 3899, 314, 254, 532, 254, 466, 2906, 19617, 597, 286, 254, 1631, 1993, 10592, 286, 9994, 432, 835, 36238, 12691, 19, 6995, 436, 27, 432, 254, 9994, 1874, 327, 21108, 418, 3005, 282, 286, 24763, 310, 21797, 2250, 27, 34009, 1416, 14, 85, 440, 31850, 2515, 61, 2008, 12968, 248, 2008, 310, 14, 1397, 16, 311, 254, 417, 683, 16034, 17118, 14, 15, 713, 457, 19, 2897, 274, 3233, 476, 3997, 2574, 2156, 6826, 2361, 16090, 273, 85, 274, 573, 457, 12659, 19, 14, 274, 1393, 188, 4797, 4502, 14, 269, 16, 4743, 2893, 785, 14, 13631, 12055, 436, 3416, 310, 274, 616, 512, 14, 322, 1143, 14954, 10597, 14, 254, 1002, 6431, 6477, 1141, 22, 254, 16, 20237, 2956, 2109, 86, 4743, 390, 348, 457, 9642, 248, 254, 30051, 3005, 2956, 939, 276, 1999, 328, 5211, 2075, 9306, 960, 869, 388, 31849, 15, 739, 17367, 85, 915, 14, 5353, 254, 274, 27, 555, 286, 2107, 254, 14, 29246, 310, 15964, 826, 282, 3335, 324, 2318, 257, 16, 286, 40388, 388, 16, 1497, 254, 9306, 35515, 9306, 785, 836, 27, 9118, 561, 4921, 2884, 265, 343, 310, 274, 713, 1111, 713, 274, 368, 85, 3055, 1012, 1603, 4313, 286, 85, 3591, 713, 348, 10597, 276, 6344, 2714, 254, 1004, 35466, 311, 3447, 1171, 686, 46, 16924, 16, 248, 6106, 14, 1198, 785, 14, 1903, 276, 44949, 1838, 1181, 825, 29717, 1311, 1033, 836, 248, 8788, 14, 27, 14, 6119, 3624, 348, 15790, 1303, 16, 274, 338, 663, 14, 10388, 254, 15, 457, 8138, 315, 825, 457, 403, 286, 888, 3669, 4800, 282, 39586, 34009, 16, 6301, 1111, 343, 3065, 254, 14, 4061, 282, 388, 26, 532, 2169, 1116, 282, 25311, 274, 286, 1045, 369, 671, 1111, 14, 63, 254, 254, 9104, 27, 86, 274, 25129, 295, 328, 15299, 1579, 14, 1315, 40388, 2079, 5473, 4213, 1360, 785, 27, 5645, 1268, 10597, 403, 2150, 615, 1868, 618, 1868, 14, 286, 1246, 6923, 900, 29, 9150, 27, 6119, 1111, 254, 4716, 254, 1926, 1393, 4797, 254, 1232, 14, 274, 9994, 568, 532, 3032, 422, 319, 272, 85, 1213, 14, 1241, 282, 5645, 286, 390, 360, 248, 3005, 274, 1026, 19, 4793, 3681, 14, 14, 1837, 6450, 388, 16002, 29, 395, 286, 26110, 310, 14, 769, 5264, 327, 14, 23660, 343, 3155, 28, 282, 457, 15, 310, 5108, 2109, 457, 38390, 286, 3004, 15373, 14, 27, 16, 274, 2057, 16, 248, 12659, 3032, 624, 807, 6215, 286, 327, 19287, 71, 274, 398, 6119, 3899, 1988, 841, 14, 15491, 695, 5108, 1360, 282, 14, 27, 286, 348, 1360, 85, 2739, 42984, 276, 13653, 16, 16, 35078, 276, 1111, 774, 620, 343, 9994, 387, 1665, 785, 457, 1232, 7346, 16, 7966, 4766, 19, 388, 2838, 12312, 15, 4221, 16, 387, 16, 19331, 836, 615, 2731, 666, 16, 5682, 432, 274, 348, 1026, 670, 20, 15308, 12124, 16, 380, 2705, 286, 16, 19811, 16, 85, 19, 327, 1578, 327, 3432, 2034, 343, 2008, 4706, 16, 366, 662, 3461, 327, 34495, 24, 7353, 2486, 282, 388, 466, 18, 282, 282, 6119, 16, 3005, 282, 248, 274, 44682, 1993, 387, 18894, 2778, 9994, 1733, 1116, 327, 254, 9003, 496, 85, 274, 1269, 918, 1408, 322, 14, 380, 785, 6119, 254, 3652, 286, 274, 3964, 9306, 315, 276, 1336, 17578, 4315, 457, 7136, 32233, 36695, 248, 188, 6141, 16, 10597, 1093, 16, 14, 785, 343, 394, 407, 85, 311, 5767, 4434, 457, 785, 663, 756, 327, 315, 327, 31914, 801, 3033, 1652, 4716, 286, 346, 819, 5776, 14, 254, 353, 6119, 286, 8093, 1002, 1041, 545, 1623, 42618, 265, 16, 6119, 2956, 2897, 695, 28194, 26110, 388, 5374, 1699, 1606, 6344, 254, 23694, 338, 23375, 1111, 616, 327, 327, 418, 2705, 25600, 286, 1360, 388, 1260, 43, 14, 282, 668, 338, 1111, 276, 274, 1503, 1111, 14, 3409, 1579, 436, 368, 188, 14, 85, 1579, 310, 626, 2674, 19331, 254, 8775, 3632, 274, 688, 11, 16, 29, 4168, 188, 1062, 2003, 6795, 41847, 388, 353, 18709, 27, 286, 276, 348, 282, 286, 348, 826, 188, 2631, 457, 13830, 85, 3252, 254, 466, 497, 1872, 14, 274, 14, 3614, 1512, 248, 387, 603, 85, 327, 977, 9739, 417, 16298, 9220, 457, 30273, 432, 3591, 8948, 274, 2631, 479, 315, 348, 1129, 671, 26, 12208, 272, 11073, 20228, 274, 6682, 286, 869, 8121, 329, 2705, 2778, 14, 1111, 84, 4706, 466, 27, 743, 1061, 15620, 2471, 27787, 1309, 17236, 3355, 353, 11003, 898, 15790, 8728, 1232, 286, 310, 254, 5211, 388, 2739, 5923, 721, 432, 10597, 2956, 14, 274, 254, 974, 26110, 2780, 274, 47611, 4856, 16, 254, 432, 418, 27, 4743, 457, 27, 369, 254, 343, 248, 775, 16, 3948, 5261, 14, 310, 1699, 5961, 4716, 457, 348, 328, 1919, 254, 5983, 1423, 16, 14, 754, 2304, 715, 14114, 276, 14, 573, 7602, 188, 390, 282, 669, 14, 16, 310, 17402, 1223, 2486, 466, 2471, 188, 85, 274, 9994, 387, 332, 2696, 27350, 16, 1360, 310, 1887, 756, 10067, 274, 274, 2028, 274, 2328, 466, 274, 31189, 1111, 388, 16, 457, 6653, 8117, 5799, 466, 3136, 6119, 274, 345, 274, 1919, 17129, 14, 2144, 272, 67, 466, 4221, 29, 2033, 2838, 624, 17118, 15, 254, 713, 274, 944, 5682, 1026, 1350, 254, 390, 44682, 273, 688, 282, 2298, 5910, 388, 2818, 436, 380, 10597, 14, 2411, 1062, 18469, 769, 48193, 2107, 1330, 8728, 6119, 1021, 5697, 417, 6995, 343, 2134, 274, 432, 888, 24, 328, 457, 433, 1041, 310, 369, 1464, 769, 41847, 16, 9306, 3632, 40648, 457, 2574, 1868, 395, 16, 387, 825, 618, 16282, 729, 3409, 16, 2150, 14, 286 ]
[ 1, 15921, 3498, 35, 743, 398, 46817, 14, 35, 6646, 248, 188, 254, 343, 373, 374, 269, 16273, 2034, 395, 497, 16, 4243, 7110, 248, 663, 3887, 4467, 2244, 15819, 36, 5048, 286, 72, 452, 14, 510, 593, 2244, 14, 434, 254, 1603, 1253, 2871, 2866, 743, 11842, 41886, 432, 345, 2463, 2824, 12464, 434, 1241, 16, 963, 32648, 1208, 4669, 22519, 1480, 26052, 8835, 387, 35636, 1345, 2568, 12096, 282, 929, 16728, 5372, 669, 19650, 1711, 15, 2886, 14, 8535, 16, 8199, 15207, 6611, 596, 311, 13208, 248, 14228, 328, 10466, 248, 311, 2453, 85, 12117, 42829, 387, 12369, 1928, 286, 23319, 39596, 8573, 6249, 2442, 1090, 20345, 2497, 407, 593, 520, 188, 555, 16, 45675, 4669, 407, 188, 3699, 2342, 45182, 34508, 286, 4669, 1482, 330, 763, 254, 8680, 13743, 669, 24248, 4669, 2883, 16, 28514, 282, 188, 286, 4707, 1297, 432, 16, 30092, 286, 13069, 1284, 15, 16, 44772, 7158, 441, 892, 27223, 5926, 298, 265, 2225, 35449, 651, 7223, 7956, 14, 188, 510, 368, 188, 343, 1312, 1223, 1887, 348, 1219, 776, 16144, 24898, 1849, 1782, 11006, 31842, 26151, 22239, 23734, 2963, 593, 22944, 7323, 348, 4136, 11023, 4661, 8680, 16, 2886, 2886, 651, 16, 3721, 434, 343, 5225, 407, 963, 5372, 4297, 581, 3640, 29, 286, 45675, 15, 14, 1711, 254, 14871, 188, 1382, 343, 2878, 330, 29724, 1711, 332, 6226, 432, 15819, 15600, 8725, 282, 35, 2958, 10032, 10200, 14797, 288, 286, 274, 1241, 330, 11988, 1045, 2342, 561, 15, 254, 4270, 16, 1379, 14, 1849, 19, 16, 3196, 33, 551, 14, 9582, 26578, 18213, 188, 1711, 254, 2049, 387, 510, 276, 1045, 254, 14, 19, 1849, 188, 12451, 10152, 308, 26996, 655, 6612, 512, 23342, 2824, 9629, 68, 14, 286, 248, 3721, 14, 330, 529, 286, 11174, 4890, 1865, 454, 4221, 2367, 9587, 12061, 3, 14, 9748, 36436, 2886, 4751, 15, 324, 885, 248, 248, 286, 1162, 15111, 841, 6856, 16, 418, 8680, 254, 1427, 18, 3687, 432, 14, 15654, 1711, 30913, 1006, 27235, 285, 555, 43159, 9380, 651, 713, 16, 333, 270, 35449, 5577, 11174, 11, 1368, 6319, 286, 16, 282, 16, 2391, 274, 286, 361, 19, 2886, 276, 2741, 818, 279, 3015, 9629, 16763, 2866, 369, 28, 282, 330, 27026, 8680, 8712, 2886, 465, 324, 254, 3326, 359, 12939, 286, 16, 3292, 18334, 254, 254, 268, 276, 1444, 314, 10032, 45426, 41, 16, 3551, 321, 750, 35323, 46962, 327, 23, 1256, 16, 569, 1572, 5935, 495, 1949, 569, 23850, 26565, 2564, 5444, 17608, 1057, 515, 750, 5832, 3402, 274, 188, 651, 28, 16, 0, 328, 286, 15, 14693, 286, 254, 188, 1711, 651, 15, 747, 2133, 1782, 9629, 5372, 8760, 311, 16, 13602, 5138, 8712, 1849, 17058, 1711, 22862, 16, 248, 11125, 294, 43159, 254, 4333, 5603, 276, 188, 5258, 16, 434, 580, 6342, 4523, 18, 484, 2564, 387, 3277, 750, 529, 6990, 28976, 5444, 254, 9109, 436, 1775, 5981, 343, 16, 36176, 17460, 274, 26578, 14696, 737, 15819, 5342, 343, 331, 188, 282, 314, 1849, 274, 37, 2019, 188, 13810, 324, 642, 1090, 21771, 31526, 274, 254, 26142, 25870, 338, 529, 17058, 2470, 2564, 3198, 1493, 6010, 6687, 20957, 4589, 286, 14641, 14, 587, 5769, 311, 14, 274, 327, 3238, 2886, 270, 298, 615, 348, 188, 5232, 1711, 27588, 44, 624, 345, 286, 1711, 286, 1922, 1922, 298, 41280, 248, 2436, 8760, 2125, 330, 1336, 4474, 188, 276, 510, 7972, 2515, 15, 5734, 248, 1781, 2038, 2009, 348, 10864, 587, 14, 274, 4556, 14, 434, 4793, 4959, 330, 12979, 3746, 2705, 399, 2413, 387, 345, 747, 642, 42, 10824, 6236, 254, 345, 16, 328, 16, 624, 25647, 1919, 1711, 327, 369, 14408, 188, 248, 4589, 801, 3845, 345, 9298, 1028, 7124, 651, 506, 1081, 8484, 4099, 390, 4117, 17243, 36184, 16, 254, 418, 15, 85, 6240, 1896, 248, 1782, 14, 37306, 276, 2453, 5081, 3912, 11118, 42731, 6766, 324, 434, 14, 43539, 248, 896, 286, 14, 188, 14696, 41123, 1849, 14, 274, 2022, 254, 282, 663, 5486, 16, 22, 10572, 2371, 4941, 274, 25889, 665, 74, 18, 1442, 2674, 15, 830, 2244, 747, 2582, 4669, 1348, 1081, 2704, 4340, 345, 331, 257, 20120, 458, 4565, 2239, 18, 593, 1526, 14161, 3, 13962, 2575, 5444, 2965, 324, 6339, 42, 21646, 19521, 282, 1544, 743, 407, 248, 45213, 9023, 1709, 17058, 8950, 53, 14, 254, 30730, 16, 14, 2453, 274, 35, 47866, 434, 348, 9230, 2024, 17058, 432, 343, 587, 651, 580, 5832, 23850, 1395, 1691, 74, 374, 830, 8680, 8680, 756, 9, 311, 314, 276, 6225, 1648, 343, 2245, 1701, 254, 9230, 16, 5372, 526, 27, 1074, 8166, 276, 311, 274, 32150, 14, 9495, 4669, 6029, 34353, 643, 343, 304, 17058, 2019, 814, 8680, 368, 248, 32474, 248, 533, 25238, 651, 1312, 2104, 1045, 7047, 269, 14408, 390, 15, 1806, 286, 16, 0, 529, 328, 188, 369, 1074, 343, 2740, 2006, 403, 8089, 4099, 14, 327, 14, 20365, 7885, 274, 328, 4959, 36826, 282, 14437, 984, 15, 6000, 9, 13278, 4422, 6333, 348, 4602, 2410, 16, 32466, 4669, 7752, 4467, 3443, 1642, 248, 7700, 8810, 12142, 9646, 3605, 12676, 12976, 7012, 20120, 11876, 14, 1074, 324, 188, 321, 36271, 282, 311, 248, 254, 43603, 1012, 756, 14, 6729, 343, 399, 581, 3101, 15, 15083, 14797, 1396, 43597, 286, 26773, 8680, 5416, 286, 14, 10109, 5742, 3447, 23964, 5444, 28, 6709, 276, 2391, 3292, 40005, 345, 295, 626, 33873, 4869, 31282, 2564, 1922, 5999, 15, 276, 45500, 13810, 2527, 2065, 3780, 1207, 273, 18742, 7753, 10781, 15, 13083, 274, 737, 188, 625, 14, 273, 12102, 977, 286, 254, 188, 254, 343, 343, 274, 1012, 638, 14740, 2537, 1441, 3406, 282, 434, 651, 3661, 16, 1701, 16, 11118, 254, 432, 16, 587, 248, 348, 1081, 651, 330, 2511, 5048, 510, 15, 8574, 8293, 380, 15, 327, 327, 30038, 520, 10602, 587, 247, 6225, 273, 888, 21311, 1036, 3313, 16, 606, 371, 763, 18147, 374, 7020, 2703, 555, 302, 633, 274, 747, 34955, 7286, 21453, 328, 286, 421, 343, 343, 1856, 7814, 16, 10132, 3746, 2049, 348, 4585, 16, 8251, 4585, 254, 324, 282, 5742, 3225, 311, 343, 14, 1036, 12917, 19, 286, 434, 8300, 18475, 274, 311, 248, 321, 6527, 286, 16, 16, 20792, 743, 35, 330 ]
[ 1, 36408, 88, 20842, 3112, 248, 314, 10964, 39042, 713, 2474, 6896, 16, 88, 748, 11213, 1063, 1050, 3282, 483, 843, 1623, 282, 802, 855, 417, 296, 254, 2723, 981, 405, 286, 615, 1316, 25394, 16, 18942, 7242, 3891, 13802, 8535, 14, 889, 842, 248, 275, 6982, 360, 15, 512, 3332, 388, 4619, 324, 16, 974, 262, 33223, 188, 997, 816, 2065, 1773, 274, 312, 14, 24087, 296, 16, 432, 35640, 1863, 13350, 28, 71, 286, 16, 256, 409, 362, 843, 792, 615, 2950, 3362, 248, 3248, 12653, 14, 20252, 257, 27057, 512, 2575, 1220, 266, 3001, 369, 2154, 88, 3112, 688, 573, 14, 14, 596, 1842, 33223, 16, 17871, 37564, 248, 45019, 14, 3783, 596, 1401, 3545, 15, 15886, 512, 480, 271, 296, 16, 254, 16, 282, 16, 1034, 1181, 2575, 19, 548, 4759, 889, 1020, 14, 88, 596, 328, 3984, 254, 2575, 5479, 3817, 3358, 254, 1906, 843, 274, 276, 8189, 687, 311, 14, 601, 9999, 13394, 282, 14, 3817, 1316, 274, 34242, 14, 274, 471, 286, 45579, 282, 887, 14, 254, 344, 843, 1362, 274, 296, 2350, 4130, 258, 5166, 22294, 16173, 312, 12537, 9443, 8136, 792, 626, 33, 3799, 90, 90, 14, 3409, 324, 328, 328, 1843, 34647, 4436, 14, 296, 313, 16, 2409, 348, 2423, 24949, 282, 2144, 254, 3337, 88, 671, 1843, 6950, 188, 90, 286, 1051, 274, 663, 9012, 254, 25149, 436, 793, 14, 1626, 1396, 387, 8136, 39109, 312, 75, 296, 394, 23322, 14, 27662, 27209, 1200, 792, 3963, 512, 843, 85, 9034, 2575, 4513, 88, 312, 497, 11062, 16439, 14, 17, 286, 5979, 1143, 579, 25098, 2556, 14, 9180, 286, 16, 512, 282, 11660, 593, 348, 37781, 14, 45218, 188, 512, 802, 436, 19773, 1863, 3854, 792, 248, 286, 254, 1200, 14, 14, 17419, 254, 286, 254, 254, 1683, 507, 36480, 641, 521, 16, 4593, 312, 24939, 312, 499, 296, 274, 90, 10885, 6165, 5591, 348, 2350, 254, 580, 3112, 296, 2342, 188, 2992, 312, 324, 276, 9988, 596, 16, 14529, 1402, 27501, 597, 889, 512, 90, 16, 312, 1314, 254, 14, 601, 8859, 286, 345, 596, 888, 2575, 14529, 8333, 45634, 0, 330, 388, 1869, 286, 16, 3783, 296, 2468, 11979, 8770, 312, 2978, 11419, 1788, 16, 408, 596, 843, 7046, 34298, 1906, 327, 257, 273, 16, 8136, 432, 254, 27124, 1200, 16, 14, 254, 4220, 792, 3324, 12552, 792, 830, 254, 1063, 286, 5514, 792, 775, 889, 254, 417, 823, 38141, 293, 5979, 42308, 254, 82, 1843, 265, 6950, 90, 8136, 405, 6323, 3544, 286, 552, 369, 417, 282, 26977, 88, 286, 282, 843, 14737, 1390, 282, 4883, 889, 16, 32036, 1063, 348, 296, 19714, 1636, 596, 4619, 1164, 4827, 29395, 286, 1843, 1333, 12641, 27672, 36, 888, 385, 24536, 286, 512, 5161, 2184, 1593, 405, 286, 499, 315, 4275, 4684, 1390, 88, 843, 254, 14529, 603, 29067, 37460, 3535, 17532, 889, 274, 296, 1200, 247, 4694, 1562, 569, 88, 729, 345, 1333, 90, 6410, 439, 24616, 3112, 2325, 16, 47, 90, 286, 465, 254, 276, 327, 16, 282, 1577, 499, 1649, 14, 7212, 42815, 345, 282, 1055, 1078, 29395, 36175, 274, 14, 14170, 679, 4259, 2575, 28930, 283, 10256, 313, 843, 14, 1093, 254, 520, 807, 369, 343, 343, 398, 843, 862, 282, 2350, 348, 626, 353, 257, 254, 274, 479, 15, 296, 254, 348, 39479, 262, 312, 1443, 18256, 3183, 254, 17130, 254, 279, 90, 14, 843, 626, 518, 792, 792, 21619, 671, 85, 684, 90, 286, 14, 28, 1200, 33955, 286, 2080, 16, 34897, 248, 16, 7802, 14595, 13731, 663, 22832, 889, 772, 949, 20842, 270, 398, 274, 299, 274, 3240, 526, 282, 16, 248, 2292, 286, 1076, 512, 90, 2144, 11215, 9122, 188, 26329, 296, 9668, 90, 614, 264, 343, 286, 254, 72, 1443, 44726, 521, 843, 265, 1385, 2144, 889, 312, 792, 19534, 5869, 90, 14, 312, 14, 499, 3248, 775, 19524, 282, 1843, 512, 369, 1232, 282, 16, 3387, 520, 512, 312, 12511, 254, 254, 2008, 702, 286, 29496, 369, 14, 248, 883, 286, 1247, 543, 254, 282, 1143, 45891, 254, 26368, 282, 25911, 16, 889, 12641, 2350, 257, 8136, 573, 282, 2144, 1815, 1090, 7777, 188, 9781, 22832, 1093, 4443, 88, 254, 532, 6170, 4980, 1269, 802, 8724, 81, 841, 16, 40345, 3889, 596, 282, 497, 6832, 17853, 7747, 14, 343, 254, 25638, 29395, 2334, 1125, 792, 2000, 282, 701, 88, 792, 188, 454, 843, 3828, 25213, 46286, 641, 16, 46470, 7457, 479, 4349, 30853, 792, 596, 343, 485, 14, 27229, 9034, 3035, 88, 14, 348, 335, 1577, 2766, 327, 286, 15627, 20030, 2445, 7401, 254, 282, 278, 288, 88, 1577, 286, 4349, 1247, 22139, 297, 29395, 407, 596, 2731, 2342, 274, 312, 596, 43638, 26, 282, 749, 345, 3768, 353, 88, 17130, 75, 6418, 313, 14529, 792, 632, 19, 20291, 17, 14, 889, 11009, 10659, 601, 34674, 16, 286, 843, 276, 1469, 7522, 679, 274, 285, 17, 792, 843, 10438, 843, 5838, 276, 5213, 10399, 888, 282, 843, 1795, 454, 282, 1538, 14, 327, 9896, 250, 21533, 1143, 313, 2893, 67, 6418, 282, 801, 324, 456, 2770, 90, 8817, 254, 261, 729, 843, 11249, 641, 16, 88, 254, 2453, 296, 729, 2151, 792, 596, 11067, 889, 35131, 1910, 3194, 615, 1788, 889, 254, 33438, 343, 757, 254, 274, 387, 8136, 648, 1581, 327, 398, 312, 2154, 14, 312, 254, 758, 328, 1443, 14461, 14, 756, 11067, 286, 1063, 16, 9145, 282, 4658, 16, 841, 1568, 296, 276, 1507, 1619, 90, 371, 254, 327, 69, 254, 296, 811, 369, 889, 276, 561, 274, 596, 385, 1093, 5952, 2509, 254, 3285, 15, 2565, 596, 400, 188, 14, 273, 16011, 512, 10964, 1464, 4212, 254, 889, 254, 1200, 792, 1057, 312, 29395, 282, 4140, 11067, 24710, 7578, 276, 7082, 14, 88, 7266, 398, 16, 891, 701, 276, 889, 641, 282, 1843, 88, 889, 313, 1612, 254, 27, 4811, 282, 90, 312, 276, 286, 282, 296, 729, 26446, 315, 775, 254, 2399, 15727, 1068, 276, 1843, 1448, 6913, 6692, 1322, 28, 257, 423, 11216, 889, 274, 2483, 2111, 254, 4032, 1269, 38230, 90, 274, 11, 10886, 282, 1482, 10824, 3063, 14, 6410, 14529, 90, 17322, 5372, 8136, 11979, 88, 295, 352, 357, 254, 14, 276, 18568, 254, 254, 14529 ]
[ 1, 4436, 188, 2706, 9115, 254, 348, 9461, 11728, 1852, 432, 14, 22403, 4615, 286, 819, 2023, 286, 7169, 898, 836, 10, 274, 633, 4436, 4436, 2468, 282, 10949, 387, 21071, 254, 2023, 1648, 327, 40774, 1920, 452, 188, 642, 642, 900, 6454, 2632, 1558, 6211, 4311, 321, 32090, 368, 441, 254, 1558, 274, 274, 321, 282, 16734, 11601, 7403, 5897, 248, 403, 2186, 14, 18, 9241, 254, 407, 254, 15013, 254, 32262, 188, 510, 286, 248, 2662, 457, 3258, 633, 7403, 32090, 3453, 14, 3134, 1678, 248, 633, 1423, 32090, 324, 7050, 38894, 254, 353, 274, 282, 4859, 14, 14, 28, 387, 2320, 14, 407, 6326, 276, 2863, 3134, 743, 1558, 14, 407, 21071, 15480, 7403, 2066, 368, 5346, 407, 9961, 877, 16, 390, 282, 4426, 743, 642, 1899, 282, 324, 2719, 6607, 390, 1395, 1558, 512, 327, 3603, 23407, 25706, 12498, 14, 758, 348, 34, 1558, 390, 10099, 633, 2038, 343, 11791, 282, 282, 282, 282, 3629, 3373, 274, 2996, 390, 1659, 282, 665, 32090, 4168, 35953, 35403, 328, 6454, 2449, 13511, 4139, 11882, 9806, 555, 729, 587, 274, 633, 441, 16, 14627, 390, 343, 1260, 6454, 28181, 2186, 9241, 4226, 3027, 2449, 282, 2218, 1767, 32090, 286, 642, 28849, 368, 360, 18031, 1162, 756, 14, 282, 21071, 25847, 21071, 633, 665, 368, 1767, 1460, 6454, 758, 35570, 1354, 836, 7403, 8902, 15480, 16, 27, 3054, 4254, 772, 321, 254, 642, 407, 4436, 1842, 807, 188, 11728, 390, 21019, 14, 360, 1841, 4513, 8610, 2525, 10215, 1558, 21071, 324, 276, 390, 248, 1558, 1558, 4311, 254, 254, 254, 10835, 6409, 695, 1834, 188, 665, 2023, 3860, 390, 417, 14, 3252, 282, 7403, 248, 324, 2517, 85, 7169, 2181, 282, 286, 12816, 900, 1767, 1368, 2725, 6454, 587, 32090, 3835, 633, 1286, 19144, 254, 665, 633, 407, 2349, 1521, 2863, 14, 25847, 16, 16, 32090, 286, 7382, 21071, 1141, 1582, 889, 758, 587, 1026, 32090, 15903, 21071, 21, 2896, 343, 32090, 343, 15718, 28320, 286, 32215, 16, 15468, 368, 5861, 376, 2896, 248, 889, 360, 4615, 6454, 360, 1390, 29, 3202, 314, 390, 1610, 665, 642, 286, 21071, 17166, 274, 1558, 16, 21071, 2497, 368, 3203, 86, 254, 633, 2080, 343, 4130, 254, 1558, 14, 311, 980, 5351, 772, 282, 17461, 40669, 390, 8326, 743, 2863, 4859, 3258, 21071, 1495, 587, 360, 11339, 390, 23808, 1212, 276, 4226, 960, 836, 2543, 642, 368, 282, 4436, 3258, 13493, 2896, 1558, 282, 1558, 785, 254, 1212, 417, 7688, 3089, 390, 6454, 1558, 11201, 1360, 633, 668, 188, 1558, 368, 18643, 311, 14, 188, 1899, 282, 14, 772, 772, 274, 12816, 32090, 21071, 254, 324, 665, 286, 5346, 407, 7403, 21071, 1042, 688, 1558, 889, 898, 188, 9607, 348, 2992, 21071, 21071, 390, 23689, 328, 390, 254, 338, 327, 21071, 898, 368, 324, 7403, 368, 1865, 417, 7403, 7403, 7403, 633, 2859, 603, 4479, 665, 1678, 274, 7403, 254, 1648, 1395, 16, 10835, 7403, 368, 2347, 6454, 772, 321, 40669, 16, 18643, 1339, 7957, 282, 5041, 4076, 2730, 403, 274, 633, 633, 665, 273, 778, 1286, 6906, 7403, 21071, 3203, 633, 21071, 665, 2023, 555, 403, 665, 3402, 286, 3860, 248, 4436, 643, 2468, 286, 8311, 7121, 1212, 9607, 5934, 328, 665, 476, 2218, 440, 321, 633, 32090, 510, 7403, 14, 390, 417, 32090, 7624, 248, 5387, 348, 32090, 21071, 671, 274, 436, 4867, 274, 9607, 16, 665, 615, 14, 368, 324, 819, 1558, 21071, 13396, 5210, 532, 2072, 274, 254, 819, 839, 24923, 3059, 11343, 188, 286, 254, 15225, 16, 2996, 14, 8902, 898, 18031, 11022, 286, 188, 2154, 2411, 274, 1129, 188, 282, 33912, 13493, 889, 22403, 1845, 15903, 407, 1460, 390, 1558, 12566, 27, 324, 1286, 1707, 939, 369, 21019, 10578, 2828, 417, 1558, 16, 32090, 7403, 321, 1640, 14, 2449, 2449, 8494, 4458, 254, 16, 13396, 939, 390, 276, 1102, 2144, 282, 642, 6484, 665, 4076, 254, 819, 441, 321, 785, 889, 633, 324, 6454, 5598, 321, 774, 254, 282, 417, 432, 4242, 85, 16734, 390, 276, 21071, 1558, 32090, 7403, 327, 368, 343, 2449, 368, 4512, 25847, 11186, 889, 188, 16, 4436, 665, 4577, 407, 27294, 282, 254, 276, 188, 1648, 327, 1558, 2443, 14281, 587, 16, 368, 29, 38060, 21019, 10200, 274, 32090, 7559, 282, 6454, 1640, 774, 671, 32090, 286, 29, 188, 254, 1558, 254, 4436, 390, 1354, 390, 407, 1470, 587, 274, 327, 1368, 390, 390, 9607, 4436, 5861, 32090, 2632, 4436, 1141, 889, 16, 642, 16, 276, 12918, 3027, 85, 16, 16, 274, 6454, 254, 15480, 32090, 274, 1558, 16, 23859, 3860, 311, 6454, 1041, 32090, 587, 1212, 390, 11197, 4975, 4436, 1970, 633, 772, 390, 3621, 368, 5041, 4458, 8785, 4356, 23407, 632, 254, 14, 14, 3774, 512, 2034, 960, 3255, 1212, 14, 14, 5041, 533, 32090, 665, 16, 338, 407, 16, 476, 7403, 6425, 343, 14, 889, 13396, 368, 772, 25847, 282, 889, 1884, 324, 368, 390, 633, 274, 21071, 772, 2632, 32090, 32090, 9241, 11704, 32090, 774, 7403, 368, 368, 12826, 1558, 21071, 45906, 14, 274, 282, 407, 665, 7403, 665, 1767, 286, 6454, 4598, 16, 7403, 390, 1286, 390, 6454, 587, 939, 819, 5118, 321, 21, 1558, 2859, 772, 368, 254, 1558, 390, 282, 4196, 2525, 313, 4130, 7403, 390, 390, 274, 14, 13234, 756, 25847, 248, 2865, 1042, 368, 282, 254, 9607, 368, 16, 4622, 417, 774, 368, 14, 274, 3888, 5053, 5192, 286, 327, 348, 254, 593, 368, 368, 32090, 21071, 14, 587, 6702, 248, 7403, 32807, 387, 772, 6454, 16, 16, 2859, 32090, 35698, 7403, 32090, 6454, 6384, 1286, 889, 6013, 3899, 368, 642, 889, 20, 360, 587, 6069, 6707, 4458, 3860, 869, 1952, 743, 772, 286, 286, 16, 16, 4311, 7403, 40131, 390, 343, 286, 977, 2153, 7403, 21071, 32090, 286, 21071, 774, 1180, 368, 6454, 6454, 1558, 21, 274, 12113, 3258, 16, 670, 32090, 16, 10611, 14, 328, 11, 774, 390, 587, 5346, 12113, 8366, 274, 274, 3134, 21071, 633, 16, 21071, 457, 276, 5719, 5118, 772, 2863, 390, 6454, 1460, 6454, 14, 7557, 6454, 417, 1952, 274, 587, 282, 457, 939, 7403, 2859, 665, 7121, 2462, 20626, 4798, 6454, 14, 513, 1678, 311, 360, 282, 3202, 819, 11, 889, 282, 13683, 6454, 328, 14, 825, 5861, 368 ]
[ 1, 6214, 8418, 16, 19653, 43450, 628, 687, 368, 11471, 14, 254, 272, 11471, 848, 9127, 25870, 254, 933, 633, 248, 327, 457, 476, 254, 286, 5395, 1395, 1015, 1934, 865, 16, 1143, 251, 1919, 343, 10464, 1143, 11471, 9127, 14, 286, 14, 457, 3408, 4910, 536, 2314, 3956, 343, 4910, 286, 353, 21471, 282, 343, 14, 311, 286, 8152, 5769, 5081, 15, 321, 6949, 310, 16, 286, 12412, 457, 13242, 633, 188, 18, 33, 25870, 274, 532, 286, 15468, 11471, 16, 1057, 670, 1569, 8547, 15590, 22038, 16, 276, 248, 23, 16, 1046, 5838, 436, 826, 16, 13242, 43552, 0, 2156, 1995, 1041, 314, 21579, 14260, 86, 48069, 14, 1012, 324, 286, 14, 310, 4212, 2332, 276, 13525, 324, 1863, 286, 310, 436, 343, 457, 15590, 8293, 13345, 71, 603, 353, 3713, 86, 2041, 70, 16, 407, 4689, 3817, 374, 15, 274, 307, 39475, 286, 10217, 353, 1665, 310, 35350, 11471, 321, 1041, 1041, 44462, 28475, 2314, 14, 468, 17, 328, 13496, 274, 36968, 254, 2276, 666, 274, 1516, 16, 7613, 883, 368, 16, 282, 33, 731, 2880, 327, 20078, 282, 5937, 5395, 5395, 3320, 85, 16, 79, 3, 14689, 1247, 3893, 10393, 3, 307, 8240, 338, 8461, 747, 4502, 188, 282, 274, 310, 11295, 5587, 324, 16, 85, 14689, 327, 1074, 603, 2324, 2350, 248, 353, 11471, 188, 403, 368, 24836, 310, 15513, 510, 20561, 353, 28, 11471, 1574, 593, 10300, 16, 21533, 310, 368, 25870, 3649, 11471, 436, 17555, 407, 15, 324, 16, 2731, 513, 1677, 2314, 15063, 961, 1863, 276, 16, 457, 286, 188, 11471, 5419, 3, 452, 22059, 188, 254, 69, 457, 188, 19, 763, 328, 22, 286, 343, 20, 1691, 2732, 307, 2276, 16, 39475, 274, 310, 16832, 353, 282, 276, 11471, 282, 308, 21594, 353, 15, 946, 8240, 15, 1495, 11471, 2332, 7280, 15, 1708, 16, 47, 369, 368, 9127, 3901, 15, 4558, 348, 4549, 188, 7156, 403, 2943, 274, 436, 11471, 265, 36124, 1247, 22758, 327, 561, 1677, 1582, 254, 1062, 254, 769, 9611, 16, 257, 835, 436, 1141, 495, 6536, 9127, 354, 188, 16, 8240, 3612, 16, 939, 14, 452, 31293, 663, 282, 3416, 86, 308, 16, 374, 14, 4214, 14, 2792, 5228, 368, 30402, 188, 4646, 4032, 30990, 14, 254, 254, 3885, 254, 353, 4853, 457, 16, 457, 16, 16, 20, 1333, 11471, 282, 282, 16, 188, 22501, 457, 33, 343, 390, 310, 7849, 1507, 23017, 4424, 17325, 5395, 274, 248, 830, 8430, 282, 33, 15590, 457, 3, 14, 29897, 282, 4646, 286, 33, 254, 24629, 70, 44462, 16033, 1516, 3673, 457, 8725, 43, 14, 436, 1480, 254, 354, 254, 13981, 254, 16, 254, 826, 14, 16, 25637, 9127, 3002, 16, 2819, 580, 25870, 254, 633, 9375, 282, 24724, 286, 3646, 254, 3, 811, 852, 19653, 310, 254, 34421, 11471, 8240, 6508, 11, 1041, 282, 3, 495, 248, 282, 456, 1897, 10264, 515, 188, 21579, 2028, 944, 4576, 17, 368, 286, 311, 946, 4024, 282, 436, 593, 254, 43, 254, 331, 248, 7787, 436, 16, 16, 457, 1041, 18, 16, 13568, 353, 16, 12028, 248, 369, 18, 286, 353, 301, 31544, 2686, 5532, 15, 40262, 314, 310, 369, 343, 865, 286, 307, 593, 276, 11129, 368, 2568, 39475, 254, 1547, 867, 4558, 11471, 324, 3828, 12610, 343, 9729, 457, 1480, 42166, 272, 254, 43552, 1516, 27, 20650, 7849, 3066, 16637, 1045, 457, 14, 14, 308, 248, 188, 11471, 1773, 25870, 619, 274, 6856, 1181, 314, 1677, 643, 4112, 343, 17236, 79, 254, 31977, 282, 1773, 11471, 248, 13242, 1026, 4504, 3, 79, 8432, 286, 31293, 3477, 27161, 10944, 5534, 33, 327, 946, 476, 46122, 403, 1480, 331, 11, 327, 341, 353, 11471, 23043, 14, 3, 310, 248, 679, 16, 188, 286, 188, 276, 9127, 274, 368, 390, 29545, 3061, 2843, 27223, 884, 248, 23048, 1063, 7849, 8240, 188, 1533, 12306, 2332, 618, 27223, 85, 8480, 669, 807, 15, 310, 30835, 14, 14409, 18450, 532, 12035, 282, 10859, 39475, 7158, 188, 282, 3352, 14, 7644, 25637, 8298, 16, 479, 3, 21836, 7575, 343, 311, 959, 10371, 3673, 500, 14, 3957, 324, 28, 324, 457, 274, 282, 14, 310, 29068, 889, 619, 43, 25870, 20005, 324, 12848, 3687, 33, 561, 188, 311, 248, 889, 961, 6524, 282, 13688, 1475, 7925, 13103, 69, 15, 188, 1143, 641, 16, 250, 254, 3, 21219, 14, 452, 963, 276, 254, 254, 561, 338, 20650, 188, 27223, 3901, 1253, 763, 16, 839, 900, 369, 255, 14689, 188, 16, 274, 282, 353, 9729, 15, 2843, 13525, 1773, 609, 5395, 432, 308, 286, 16, 432, 32139, 11471, 10859, 3, 274, 324, 324, 390, 17, 3364, 14, 10264, 368, 1503, 14304, 6856, 390, 14976, 7629, 2568, 255, 1773, 3, 603, 618, 310, 436, 436, 3948, 3, 310, 1315, 3, 561, 15483, 3, 3, 11471, 3096, 11658, 3, 310, 28, 5931, 2276, 5588, 1157, 2614, 368, 14, 11471, 16, 12061, 15590, 811, 16, 687, 324, 479, 3437, 5228, 4112, 25870, 188, 374, 1574, 21533, 369, 24, 13242, 16, 457, 310, 33, 248, 26209, 188, 21594, 1395, 254, 7629, 80, 15, 18, 16, 1577, 282, 188, 624, 19, 353, 11471, 457, 731, 16, 374, 603, 286, 4096, 338, 480, 286, 282, 515, 3, 6949, 650, 3536, 555, 5395, 13242, 2674, 747, 1062, 13242, 324, 286, 8725, 2328, 1920, 2961, 436, 4883, 3, 16, 1364, 19674, 15, 85, 4112, 353, 16, 2332, 13242, 749, 17, 3657, 561, 188, 16, 15, 343, 34421, 25870, 1308, 8547, 2482, 327, 593, 462, 1773, 8240, 30402, 2819, 188, 742, 597, 1157, 2156, 16, 671, 1773, 47419, 368, 532, 4112, 286, 43, 262, 5494, 321, 1157, 18695, 457, 2732, 43, 13242, 900, 7434, 1516, 2286, 2005, 32139, 256, 310, 633, 248, 6123, 8994, 75, 1074, 338, 282, 1640, 633, 353, 248, 6855, 1649, 10476, 1612, 1315, 843, 368, 2515, 479, 310, 254, 555, 25870, 276, 254, 1017, 532, 607, 4502, 3, 25870, 188, 338, 254, 14, 254, 343, 2006, 3316, 16339, 39834, 11970, 45924, 1840, 282, 1026, 248, 8430, 274, 18072, 960, 310, 23048, 4564, 15, 12309, 28475, 2722, 16033, 21686, 16, 248, 7560, 16, 555, 11, 510, 1038, 11471, 16, 18801, 188, 14, 3416, 353, 1863, 353, 3433, 959, 456, 14, 603, 14689, 4646, 254, 11295, 756, 5271, 328, 9415, 13525 ]
[ 1, 5330, 324, 29479, 286, 624, 1491, 19660, 657, 15, 27725, 327, 254, 248, 14, 25, 286, 457, 274, 254, 5330, 668, 5815, 30983, 6193, 324, 1335, 633, 274, 10140, 18296, 276, 10120, 14, 398, 16, 2497, 1469, 328, 348, 1063, 282, 1311, 1491, 14, 353, 10551, 254, 29479, 248, 6240, 701, 338, 858, 14625, 657, 7770, 276, 3124, 324, 2317, 276, 14, 2867, 500, 1427, 254, 15411, 457, 5547, 939, 26564, 6092, 248, 16, 2148, 23370, 21082, 296, 8171, 8643, 33199, 2363, 657, 31512, 8325, 1218, 16, 772, 11194, 26816, 7924, 2341, 732, 1354, 368, 254, 597, 372, 1063, 2780, 6193, 3002, 432, 10696, 19687, 11375, 26761, 436, 248, 321, 3405, 18811, 1427, 1999, 85, 8085, 32794, 254, 17551, 695, 7924, 1086, 286, 504, 13036, 39419, 69, 520, 16, 6873, 3699, 10243, 2536, 274, 3015, 380, 7620, 390, 16, 1203, 79, 735, 8939, 13491, 2960, 286, 32401, 387, 858, 343, 20617, 15433, 5023, 387, 10271, 416, 274, 3462, 20524, 833, 1873, 2709, 7924, 20, 607, 432, 819, 10451, 14, 254, 1464, 14, 387, 26761, 587, 248, 1491, 257, 286, 31813, 830, 10186, 7096, 1903, 324, 345, 276, 17671, 3420, 14, 26902, 264, 79, 254, 269, 324, 390, 28420, 657, 30983, 2632, 34998, 2016, 833, 8085, 7702, 286, 387, 85, 269, 2433, 872, 3970, 2023, 751, 2696, 282, 1849, 457, 642, 282, 2731, 12558, 4044, 3762, 14, 26235, 1849, 14, 35894, 1794, 39765, 1321, 276, 16, 286, 1740, 311, 16, 79, 276, 254, 22266, 188, 269, 19687, 16, 254, 42276, 14, 19397, 504, 188, 686, 5846, 273, 4960, 19397, 2584, 1580, 2705, 18, 533, 14, 327, 383, 15, 14, 14, 14, 4851, 188, 272, 4028, 407, 14, 14, 5959, 1427, 3781, 254, 188, 14, 276, 657, 4619, 510, 19, 462, 14, 372, 367, 432, 374, 338, 3420, 813, 7372, 71, 360, 18505, 286, 1296, 650, 286, 272, 19599, 1091, 830, 16, 3252, 3046, 16, 14, 31512, 561, 401, 286, 84, 1408, 16, 743, 19687, 274, 16, 3462, 26, 47141, 18451, 587, 274, 3065, 274, 27, 7883, 587, 274, 372, 843, 607, 26834, 401, 348, 593, 7192, 2257, 1374, 14, 9825, 4242, 27657, 286, 248, 14, 324, 321, 85, 892, 19687, 1596, 432, 41, 26, 1711, 33499, 19, 11375, 504, 407, 510, 366, 4741, 4163, 310, 274, 254, 348, 22975, 16, 343, 311, 432, 4682, 436, 657, 254, 16, 16, 286, 1999, 555, 14, 254, 343, 254, 16, 286, 276, 616, 55, 248, 33499, 403, 31113, 14658, 14, 14, 254, 282, 254, 10229, 510, 31891, 12895, 10229, 262, 587, 462, 276, 27327, 2069, 9, 35078, 28, 1181, 10519, 14, 1464, 33499, 25470, 16, 28, 286, 274, 2536, 343, 16, 972, 13269, 17, 592, 20617, 462, 324, 892, 16, 3793, 286, 262, 533, 3462, 11429, 3297, 401, 407, 390, 18811, 16, 18811, 324, 4549, 1928, 6240, 311, 7922, 1806, 18957, 2374, 20479, 33235, 1016, 16, 21, 301, 462, 20479, 328, 587, 10366, 4580, 628, 2989, 254, 254, 476, 286, 31782, 432, 16, 274, 321, 900, 16, 14, 14, 16, 91, 20617, 254, 5128, 4517, 25470, 432, 16, 32759, 46999, 640, 282, 6111, 1362, 1939, 41, 14670, 11360, 587, 14, 274, 4549, 14, 276, 20524, 0, 254, 394, 31994, 892, 16, 7969, 382, 401, 16, 276, 16, 69, 17454, 17921, 7738, 19687, 274, 915, 1939, 286, 5959, 0, 348, 328, 31780, 248, 404, 615, 343, 14, 188, 2628, 2814, 328, 1849, 20617, 462, 85, 85, 960, 274, 1993, 2912, 1673, 819, 387, 380, 496, 8898, 3783, 22679, 282, 8549, 1444, 11909, 8085, 276, 16, 69, 17011, 2055, 276, 41, 369, 772, 324, 14, 19235, 1074, 620, 387, 367, 587, 338, 626, 7924, 39337, 42795, 2572, 4735, 343, 2572, 39, 6612, 9931, 1086, 5330, 5408, 5959, 310, 2728, 10930, 401, 27657, 48011, 286, 587, 16, 7335, 264, 321, 16658, 327, 587, 1004, 345, 274, 1712, 1016, 79, 2885, 1499, 12129, 254, 7236, 248, 16, 7492, 18811, 4347, 282, 1633, 272, 286, 248, 41, 4852, 254, 5935, 4311, 9169, 14, 4741, 972, 4306, 328, 262, 587, 24412, 2258, 27, 276, 16, 35979, 272, 858, 7770, 274, 2421, 22126, 42453, 2758, 14, 1928, 85, 0, 2066, 274, 6582, 2936, 390, 19867, 14168, 3944, 18, 8841, 2408, 21082, 512, 274, 4022, 1619, 34752, 7526, 330, 915, 2016, 401, 1621, 274, 22, 254, 16, 1720, 16, 3124, 1825, 35, 328, 30983, 33905, 262, 44699, 286, 628, 862, 43549, 276, 254, 398, 628, 338, 3520, 2393, 282, 286, 14, 248, 7497, 367, 18, 19719, 24412, 254, 274, 23271, 311, 948, 939, 5687, 33441, 7096, 403, 11734, 11375, 16, 367, 274, 16, 188, 254, 29479, 39765, 3551, 31706, 2728, 188, 9641, 1321, 33499, 3994, 4186, 16, 655, 188, 6727, 13306, 282, 282, 4347, 274, 24173, 348, 23106, 2107, 16, 254, 16, 2740, 9640, 417, 286, 4255, 276, 29479, 1649, 620, 1594, 1460, 16763, 390, 3588, 19235, 29820, 21663, 403, 587, 85, 3364, 248, 25419, 7040, 1335, 24, 5547, 751, 1090, 20049, 3221, 23183, 615, 324, 20617, 606, 1625, 1326, 23271, 2317, 343, 27513, 1079, 1096, 31813, 16, 14, 286, 286, 4032, 3561, 9220, 188, 4517, 45546, 20734, 892, 22266, 1441, 4351, 587, 343, 53, 372, 16160, 2738, 372, 272, 188, 1016, 4168, 19534, 1939, 457, 432, 348, 457, 264, 460, 732, 2701, 1720, 7328, 16580, 343, 3468, 4062, 26902, 23271, 16, 7353, 353, 369, 1063, 36, 27657, 390, 9961, 27786, 1939, 33, 2630, 338, 27, 16, 39, 18, 265, 41, 16, 16, 251, 9629, 23170, 16, 28017, 9792, 12353, 15, 8775, 41028, 262, 1853, 1683, 3124, 4941, 9870, 2688, 3805, 338, 12878, 890, 520, 843, 274, 1499, 403, 7367, 85, 254, 16, 5852, 274, 432, 4890, 14, 188, 896, 21154, 11610, 23271, 282, 4010, 254, 26969, 7517, 92, 2772, 2728, 311, 348, 2683, 46315, 618, 11392, 286, 324, 16, 8114, 587, 16, 35078, 6329, 14, 286, 4806, 6901, 14, 368, 529, 14258, 1296, 401, 282, 6193, 5287, 3083, 587, 403, 16, 532, 25149, 30837, 1873, 85, 628, 7835, 7160, 432, 14, 1755, 15411, 1086, 5228, 597, 282, 7224, 616, 254, 1939, 23176, 4852, 33, 19235, 16, 390, 16, 254, 188, 14, 14, 35544, 12679, 657, 719, 254, 380, 321, 1648, 587, 11375, 274, 4589, 85, 17797, 903, 282, 27609, 1321, 276, 398, 434, 39693 ]
[ 1, 14215, 24, 29586, 1625, 1822, 254, 39939, 44682, 338, 91, 25, 7729, 248, 27, 272, 8026, 6117, 286, 500, 5107, 2288, 286, 580, 25, 188, 0, 16, 28748, 18, 254, 1444, 642, 8141, 1444, 772, 31050, 17652, 1841, 27540, 7688, 2318, 15402, 7423, 368, 25805, 254, 10992, 29, 4313, 3379, 10400, 1683, 16, 8177, 18, 7258, 16, 282, 15431, 1142, 276, 311, 16, 1004, 1545, 2712, 15704, 836, 16, 0, 286, 3248, 1205, 14, 54, 38776, 2672, 10060, 282, 21, 5287, 4768, 368, 4634, 4890, 282, 27, 387, 248, 495, 403, 254, 338, 21, 6787, 16, 7, 282, 276, 11100, 274, 841, 17325, 22, 476, 14, 23, 785, 188, 254, 10, 500, 12600, 12586, 85, 254, 188, 17036, 521, 3488, 580, 347, 35650, 403, 633, 555, 549, 1527, 11961, 4272, 188, 4155, 276, 35512, 19165, 444, 23971, 286, 44281, 1873, 14, 248, 1619, 12219, 444, 1305, 35812, 4110, 314, 266, 16, 469, 5702, 42147, 743, 12600, 7323, 16, 14, 41, 8049, 18654, 22, 22, 2408, 1012, 5516, 20, 26, 15431, 2943, 2098, 42946, 1738, 2589, 9577, 1516, 2436, 20, 18954, 25, 274, 274, 314, 3379, 338, 15409, 16865, 67, 274, 334, 188, 1282, 6065, 1822, 32531, 6787, 282, 328, 403, 324, 2877, 43515, 24187, 38863, 665, 6515, 36465, 10590, 20254, 25, 46579, 4117, 18, 14, 16, 19, 18, 14, 432, 607, 436, 15, 1903, 21, 1487, 19, 2006, 248, 946, 12881, 2408, 403, 15402, 1310, 14346, 282, 248, 3402, 248, 23, 19260, 2079, 2524, 6973, 742, 3404, 4, 9831, 3051, 274, 36465, 2489, 248, 321, 390, 44842, 18, 473, 343, 18954, 77, 54, 3561, 23, 8462, 16, 82, 7258, 977, 18954, 5882, 54, 3488, 436, 3184, 43634, 276, 358, 14, 2949, 7258, 353, 276, 314, 724, 1729, 4021, 2142, 43838, 4423, 16, 530, 2214, 14, 324, 2692, 6005, 348, 16, 444, 31111, 374, 8941, 2374, 12832, 826, 49, 4282, 374, 7692, 16, 11648, 12150, 3404, 343, 12852, 268, 4, 14, 1755, 274, 22, 14811, 254, 9587, 0, 324, 581, 33, 282, 497, 1012, 35705, 43, 624, 432, 5309, 1922, 3132, 1129, 22, 286, 1731, 3897, 387, 407, 24225, 20, 2917, 282, 3835, 3781, 6808, 17126, 25, 16, 311, 434, 16, 13823, 20, 8601, 286, 3404, 32439, 188, 23, 428, 286, 7735, 16, 1464, 32864, 4644, 494, 3095, 3404, 2514, 3502, 324, 274, 15, 54, 434, 327, 1852, 399, 28589, 1255, 314, 869, 7, 403, 254, 254, 19, 403, 35451, 13823, 5455, 1755, 8806, 1034, 14, 14346, 18, 23183, 3, 35, 47610, 607, 32648, 19, 580, 369, 324, 375, 2344, 13298, 14, 1610, 2292, 11961, 15945, 642, 1770, 4331, 282, 23, 5734, 633, 3517, 5247, 3818, 16, 607, 274, 374, 3444, 933, 17454, 338, 338, 188, 37252, 27540, 1922, 23, 1561, 19, 20, 254, 11934, 772, 3802, 14859, 295, 282, 254, 620, 5247, 338, 282, 2703, 188, 12832, 324, 11, 311, 360, 889, 282, 188, 22, 6515, 9, 90, 297, 948, 1045, 5054, 17378, 286, 43515, 3637, 3988, 436, 495, 2712, 19637, 188, 188, 1822, 630, 22, 9192, 273, 4231, 26, 416, 39, 11, 46198, 38776, 16, 67, 1125, 15153, 348, 274, 10, 2524, 27, 24989, 403, 18954, 188, 276, 74, 41, 3213, 2080, 6208, 18, 2231, 1207, 7381, 96, 254, 324, 273, 403, 14, 1663, 286, 6249, 3375, 452, 21903, 434, 330, 633, 14, 3, 348, 18, 26, 20, 295, 327, 10298, 18, 31111, 27481, 3136, 282, 470, 282, 16, 14, 436, 274, 4117, 5240, 18667, 2782, 3928, 15, 9026, 81, 39094, 3468, 314, 188, 28, 188, 33, 8165, 21, 5044, 7258, 35, 663, 14608, 580, 327, 276, 3364, 7423, 19, 5998, 374, 4954, 16, 286, 11, 1275, 1137, 15, 276, 2042, 41348, 348, 311, 23, 38436, 327, 507, 188, 39, 16, 28255, 3340, 6471, 46764, 23, 20, 30567, 2969, 19, 813, 90, 3054, 22, 11, 16, 266, 368, 338, 624, 2524, 324, 40850, 500, 14, 39071, 20759, 11521, 34854, 276, 939, 6044, 2967, 12352, 5998, 15523, 374, 13823, 25, 407, 0, 254, 15, 977, 510, 2825, 16, 1638, 0, 2902, 38776, 16, 16, 324, 6284, 324, 286, 16, 3378, 407, 26, 1707, 3278, 282, 248, 22, 286, 16, 411, 43547, 353, 2629, 22158, 188, 343, 533, 1423, 282, 2456, 251, 34728, 1472, 33, 14029, 13594, 19, 8514, 14, 20, 286, 1286, 24, 701, 314, 254, 374, 11, 1648, 19, 5687, 30427, 1863, 17234, 254, 4, 15431, 254, 311, 47610, 456, 27540, 274, 7930, 407, 14, 452, 2023, 0, 14, 29, 28, 0, 14, 1062, 626, 254, 4917, 640, 15, 643, 1348, 21911, 8494, 4452, 4, 2692, 16, 18049, 274, 38776, 41, 19934, 16, 3640, 3404, 2634, 18954, 436, 274, 35, 6516, 20, 10031, 1794, 248, 11, 10, 49, 8462, 683, 14, 33, 457, 323, 10224, 1521, 17583, 13679, 26278, 248, 3246, 347, 2315, 248, 43310, 1528, 16, 327, 2477, 444, 337, 11947, 276, 276, 1158, 12577, 14, 10995, 12587, 324, 388, 3404, 2589, 387, 1338, 9050, 16, 16703, 338, 286, 188, 276, 18, 254, 2284, 49, 11528, 2133, 10959, 15431, 663, 20, 14, 324, 12641, 16, 19, 254, 10769, 16, 28, 4163, 31864, 8074, 22, 17781, 963, 309, 615, 14607, 1155, 26, 6593, 282, 343, 18954, 688, 2239, 85, 282, 15033, 254, 432, 2292, 43515, 4678, 26556, 5438, 869, 1578, 8112, 500, 24995, 18, 1502, 22, 17322, 3738, 16, 14980, 1637, 19, 282, 91, 9250, 3677, 407, 23, 5095, 2692, 44043, 1012, 1738, 16, 4061, 510, 12391, 22, 14, 16, 9366, 2533, 47338, 771, 12068, 680, 45821, 22, 274, 3277, 43313, 286, 43310, 2024, 3069, 1336, 286, 6208, 10544, 188, 1794, 8482, 314, 839, 4504, 28, 1114, 5455, 3184, 2485, 5697, 35452, 254, 254, 286, 20, 3051, 254, 3, 597, 254, 16, 1240, 3458, 24, 328, 444, 188, 2367, 274, 624, 3652, 4117, 5537, 411, 387, 719, 28589, 2589, 4089, 7, 36465, 16, 6754, 2780, 8583, 7323, 5612, 20, 655, 14, 188, 510, 3051, 4442, 12763, 616, 898, 368, 188, 17933, 3213, 16, 10912, 29, 14, 576, 16, 254, 1155, 26426, 27721, 407, 597, 12352, 2435, 276, 24, 248, 5464, 367, 43310, 1182, 254, 4626, 9006, 15663, 32201, 274, 274, 20, 11534, 1464, 11961, 555, 17, 3936, 254, 8571, 6515, 564, 500, 3184, 274, 9247, 16, 6382, 31966, 1017, 3135, 686, 11266 ]
[ 1, 282, 587, 1002, 39723, 2488, 254, 939, 614, 258, 31813, 13051, 390, 271, 41628, 5961, 26964, 14, 274, 14, 8596, 626, 25096, 1241, 25096, 15602, 3648, 248, 7417, 85, 441, 6309, 1503, 18052, 248, 343, 407, 311, 282, 16, 22876, 282, 3395, 1491, 580, 254, 22, 641, 1140, 10985, 348, 13959, 286, 1862, 44755, 3783, 1181, 432, 306, 3446, 772, 276, 686, 308, 1491, 22, 2049, 852, 3, 321, 254, 260, 671, 358, 4392, 274, 427, 37169, 10580, 2965, 2008, 497, 16815, 14871, 4489, 9118, 35922, 1664, 2063, 27765, 3160, 274, 1574, 343, 4676, 5887, 8259, 15, 16, 324, 14, 14, 282, 15, 1503, 1286, 248, 11324, 5877, 1286, 16815, 282, 532, 31557, 7511, 39723, 1063, 348, 1736, 3223, 22456, 353, 19, 4725, 16, 3614, 2731, 8226, 597, 4221, 382, 188, 254, 1851, 3355, 13863, 4874, 369, 317, 272, 16815, 14, 811, 311, 24734, 248, 265, 17263, 2332, 3938, 18292, 263, 17185, 3798, 254, 324, 39792, 8149, 25096, 274, 353, 9882, 31414, 15059, 670, 274, 1390, 4325, 18569, 324, 756, 14, 1167, 3808, 39860, 668, 436, 729, 272, 2965, 0, 3675, 5793, 8998, 510, 15, 5174, 16588, 1558, 4395, 254, 264, 14, 1090, 16, 6151, 36050, 254, 394, 254, 353, 254, 14815, 652, 32466, 569, 1423, 387, 338, 327, 16815, 18292, 74, 309, 9051, 2692, 387, 286, 974, 254, 188, 3675, 59, 24372, 3613, 282, 282, 254, 282, 328, 1062, 41407, 403, 16, 670, 18832, 16, 25096, 1664, 2245, 3, 403, 254, 368, 340, 10454, 1125, 16, 25423, 3233, 1516, 3834, 286, 1260, 920, 933, 3642, 1743, 306, 16, 272, 21309, 1269, 369, 8832, 1838, 16, 1125, 1678, 327, 1051, 18374, 2916, 819, 1334, 23698, 436, 3648, 6309, 14074, 4317, 282, 18477, 1822, 3639, 14523, 1193, 2187, 13044, 272, 353, 7624, 1934, 282, 6907, 254, 2099, 254, 30217, 628, 276, 2257, 3682, 379, 16867, 3964, 276, 590, 731, 282, 4249, 3996, 4096, 248, 18120, 324, 25621, 16, 254, 3831, 596, 7673, 1649, 6990, 22541, 516, 254, 1062, 2942, 436, 9073, 642, 1926, 13330, 1615, 46, 274, 15, 1311, 39792, 248, 11620, 12662, 1624, 254, 24323, 1903, 2515, 1755, 4851, 248, 4718, 324, 16, 19934, 633, 403, 9275, 4612, 1479, 348, 32725, 276, 453, 16, 593, 248, 368, 944, 14, 254, 274, 3442, 369, 2631, 5569, 347, 16, 16, 8688, 14, 14, 801, 6927, 368, 16, 5258, 43850, 343, 1002, 10142, 16, 756, 25096, 17185, 348, 17185, 663, 3783, 719, 2545, 16688, 254, 763, 2602, 3048, 354, 510, 348, 311, 1649, 369, 1842, 380, 248, 2875, 24372, 615, 254, 29563, 254, 15340, 829, 13148, 401, 368, 3830, 743, 414, 1862, 272, 495, 18, 6106, 532, 16, 7745, 19907, 1736, 8156, 16, 3626, 27732, 942, 26964, 369, 1242, 8149, 4731, 14, 2622, 9073, 252, 282, 2501, 4355, 29912, 615, 4400, 811, 260, 7926, 14, 348, 401, 368, 2629, 593, 4436, 15340, 14, 309, 4851, 23904, 276, 14, 688, 17529, 282, 2332, 4619, 407, 403, 41686, 961, 16, 1479, 2501, 14, 3502, 36436, 14760, 16, 7541, 633, 13959, 900, 254, 251, 22871, 369, 23698, 248, 5745, 428, 8734, 3217, 9597, 1624, 188, 188, 14, 1955, 774, 11510, 282, 17529, 6318, 476, 368, 274, 4436, 9495, 613, 16968, 3921, 16, 282, 390, 17185, 5498, 14, 731, 14, 452, 1444, 486, 417, 14, 4101, 14, 297, 642, 15, 15214, 4676, 254, 2057, 1678, 14, 5258, 254, 3648, 31204, 14, 368, 254, 274, 407, 2504, 254, 35002, 38612, 5586, 10407, 39723, 14, 274, 14, 14, 39723, 4676, 390, 15340, 276, 18770, 14, 16, 801, 306, 8697, 321, 349, 16, 8298, 3529, 14, 4706, 380, 2110, 14, 470, 188, 5053, 1479, 671, 1116, 7775, 555, 43284, 403, 26324, 251, 343, 348, 4310, 299, 624, 1205, 10580, 16815, 497, 38713, 704, 14, 1051, 432, 254, 26050, 14, 321, 254, 17006, 500, 15, 3395, 13488, 23550, 596, 20671, 7924, 834, 25507, 1016, 1926, 1479, 1993, 1826, 14, 403, 16, 2066, 5555, 14, 14, 18, 16, 250, 944, 40, 14, 486, 2501, 1371, 188, 3224, 734, 274, 2965, 387, 1041, 314, 2374, 1350, 343, 282, 2868, 1847, 16, 15, 4436, 513, 268, 16, 274, 1610, 6550, 11453, 14815, 14, 274, 494, 2965, 39, 16815, 384, 14, 6503, 368, 805, 286, 17185, 266, 282, 3, 4525, 348, 321, 14, 5555, 418, 248, 6309, 18133, 4740, 10588, 16, 374, 369, 25096, 1366, 41988, 311, 500, 369, 516, 327, 417, 3648, 15340, 1993, 2431, 624, 38612, 286, 31725, 8156, 18, 3506, 248, 641, 3729, 6309, 31803, 4706, 835, 286, 1635, 1722, 25, 417, 17185, 3673, 16, 18, 14, 826, 43834, 16815, 282, 44, 390, 5186, 254, 276, 1164, 16, 403, 4434, 6998, 643, 1102, 8149, 265, 286, 16815, 2640, 27565, 274, 533, 14, 28835, 25756, 10227, 311, 2628, 3196, 282, 254, 3655, 33208, 1360, 15340, 774, 1441, 432, 254, 573, 6216, 31557, 3720, 12901, 643, 836, 13051, 415, 497, 380, 274, 4635, 16, 687, 7852, 272, 188, 286, 4385, 16, 457, 272, 4731, 683, 22044, 434, 497, 1610, 4731, 16832, 274, 39911, 6337, 85, 8149, 248, 29132, 310, 286, 248, 3812, 23698, 1065, 3048, 27383, 5176, 15718, 2204, 24158, 8490, 721, 40020, 512, 40955, 324, 14, 11125, 1955, 3682, 85, 1145, 3355, 28, 11677, 260, 45295, 588, 321, 2017, 927, 11, 403, 27791, 248, 1260, 6106, 10204, 2951, 2474, 6081, 16, 4730, 327, 7319, 374, 12838, 39723, 368, 382, 258, 532, 15, 41312, 1157, 15167, 321, 311, 368, 6998, 484, 1903, 1115, 5961, 2120, 401, 4178, 274, 369, 8238, 642, 629, 274, 2965, 19564, 3737, 14, 2774, 4028, 2142, 7142, 15453, 2653, 248, 4856, 41028, 286, 5370, 961, 37030, 41763, 1247, 274, 2868, 2497, 369, 305, 7014, 615, 14, 248, 16687, 324, 14, 16, 14, 688, 20117, 2023, 13398, 563, 274, 753, 16, 629, 25096, 2859, 587, 248, 6582, 1993, 188, 1063, 1061, 38612, 321, 3379, 1525, 299, 16, 1033, 486, 2965, 8577, 2099, 452, 21314, 603, 1499, 16, 7360, 6211, 296, 763, 2965, 14, 669, 4212, 3831, 15, 348, 282, 774, 44365, 254, 561, 12302, 1708, 8149, 1542, 38612, 16, 16, 310, 615, 6650, 452, 14, 829, 349, 1642, 16, 390, 719, 348, 7034, 328, 1845, 1527, 328, 44461, 2718, 14, 2473, 642, 3605, 5877, 276, 387, 17529, 11146, 274, 274, 944, 3427, 272, 8832 ]
[ 1, 282, 368, 16, 1253, 16, 16, 731, 12350, 327, 3156, 248, 1034, 13692, 457, 1277, 747, 16, 6268, 274, 33, 457, 432, 188, 4013, 15621, 452, 286, 3730, 33, 16, 476, 619, 30696, 12350, 12989, 26100, 593, 314, 1922, 11812, 457, 7161, 12096, 15, 254, 974, 6268, 1685, 12720, 16, 17250, 1872, 4589, 2673, 2486, 607, 9263, 756, 16, 31254, 2141, 14304, 286, 12720, 29405, 19, 942, 375, 32379, 2965, 254, 743, 311, 35040, 11667, 15, 626, 353, 276, 254, 1183, 669, 36660, 1544, 318, 17869, 3833, 942, 382, 324, 7634, 282, 3833, 2075, 254, 5603, 85, 327, 18, 360, 24, 30188, 1305, 1773, 254, 587, 254, 68, 2842, 353, 3502, 1181, 368, 719, 513, 12115, 16, 14, 13635, 311, 188, 9213, 41654, 1569, 282, 7676, 1323, 1837, 10584, 2341, 16292, 27, 432, 457, 4117, 390, 254, 11107, 6319, 188, 486, 576, 41116, 254, 380, 274, 3970, 2207, 314, 3833, 497, 353, 16, 811, 2909, 46122, 1339, 188, 387, 610, 37080, 12824, 16, 15, 35, 309, 665, 14550, 555, 2115, 14, 33, 336, 18408, 378, 286, 10625, 633, 10078, 2600, 843, 1323, 378, 19032, 4814, 38203, 457, 4762, 2955, 20752, 343, 15, 11294, 11775, 597, 387, 2286, 311, 9, 310, 387, 1886, 311, 2115, 20911, 1939, 272, 15326, 1863, 255, 29310, 9956, 1125, 282, 286, 6990, 2537, 403, 387, 417, 18, 324, 85, 2193, 1702, 1277, 5766, 26290, 9615, 254, 85, 4255, 9652, 835, 68, 286, 7096, 4126, 14304, 86, 29, 457, 85, 16, 2965, 2868, 254, 495, 532, 16114, 17103, 6297, 360, 2065, 2803, 85, 24978, 274, 2006, 11667, 595, 318, 5555, 11769, 2868, 248, 377, 11899, 633, 1330, 2805, 16, 353, 33, 510, 254, 32648, 265, 336, 387, 282, 520, 282, 338, 41886, 39837, 360, 32389, 4301, 626, 33813, 657, 14, 35167, 596, 3327, 573, 343, 343, 16, 388, 403, 452, 455, 3655, 324, 26, 20, 311, 328, 13416, 633, 276, 10078, 15913, 3686, 841, 16919, 188, 457, 4098, 2790, 390, 1602, 311, 31150, 4141, 188, 188, 663, 25, 7479, 72, 380, 387, 33, 188, 387, 286, 8500, 597, 1456, 417, 3048, 668, 16, 1733, 286, 942, 15, 13129, 14693, 8266, 1416, 9524, 188, 1903, 27638, 5555, 311, 1277, 23910, 27453, 5588, 360, 731, 19, 1002, 15669, 1922, 30994, 497, 1042, 14, 668, 1448, 1390, 14, 387, 1148, 14, 188, 309, 452, 3066, 432, 2858, 328, 14531, 7385, 324, 6248, 35598, 1360, 282, 1505, 254, 188, 254, 1873, 360, 497, 27, 254, 24436, 12913, 1963, 1141, 17883, 7262, 348, 14, 9846, 7629, 274, 747, 457, 457, 254, 331, 12534, 254, 85, 1926, 18, 387, 360, 2823, 2824, 665, 13739, 801, 974, 18, 286, 7383, 251, 5044, 274, 47400, 16, 27938, 85, 254, 348, 43, 16, 801, 17414, 4282, 21055, 7164, 436, 380, 79, 2862, 4489, 15, 510, 71, 286, 2554, 2986, 254, 1444, 2378, 1042, 310, 2123, 19118, 248, 311, 32200, 32379, 7341, 3833, 288, 8, 16, 291, 311, 20911, 310, 255, 17414, 900, 276, 328, 387, 19636, 276, 6170, 286, 643, 324, 3906, 1051, 1130, 45718, 1390, 626, 15, 2862, 13320, 1012, 618, 248, 7634, 2193, 14, 3051, 1390, 1564, 457, 380, 3833, 3148, 85, 5832, 43, 23, 2956, 457, 248, 1702, 2628, 4326, 269, 5555, 188, 15, 250, 16, 4234, 380, 9637, 369, 7262, 360, 286, 2486, 68, 390, 30114, 343, 20911, 512, 10746, 16, 6268, 626, 657, 2653, 1703, 2432, 1652, 378, 944, 1903, 3983, 276, 27767, 1945, 248, 2049, 328, 254, 16, 254, 16, 10152, 31282, 8760, 39144, 286, 22518, 18771, 510, 512, 869, 26, 37080, 43, 188, 282, 188, 706, 9567, 6458, 20911, 33, 343, 2612, 4679, 7262, 3672, 16, 441, 254, 473, 561, 282, 10577, 272, 14, 354, 9339, 14, 16, 67, 769, 3393, 495, 497, 255, 8500, 85, 331, 23, 16, 272, 26, 452, 254, 14, 35040, 327, 441, 1253, 30031, 657, 254, 14, 4738, 282, 16114, 801, 915, 16, 403, 15650, 387, 5055, 20932, 457, 888, 25754, 39262, 9846, 27234, 248, 248, 3408, 188, 254, 1448, 321, 9786, 36454, 26, 7262, 16, 3575, 26, 1756, 12913, 274, 900, 532, 4762, 1527, 14, 2357, 16, 5961, 2341, 2374, 30835, 188, 1685, 33480, 16, 452, 16, 417, 309, 1038, 274, 2377, 17073, 9263, 4731, 46, 2288, 188, 826, 3833, 248, 437, 1903, 11, 360, 11983, 1848, 40484, 10584, 403, 254, 1516, 248, 254, 21426, 848, 16, 310, 15513, 19, 255, 695, 927, 265, 20911, 11284, 3327, 72, 254, 16, 314, 15336, 657, 188, 311, 452, 255, 3418, 1354, 327, 4412, 38592, 15, 8867, 5897, 2323, 457, 10286, 286, 274, 512, 4257, 7164, 368, 387, 85, 1886, 32379, 0, 432, 277, 2123, 16, 85, 8834, 327, 286, 597, 1397, 269, 457, 452, 3867, 5066, 311, 188, 447, 1181, 11268, 387, 16933, 2673, 12350, 29310, 487, 274, 432, 17103, 3368, 16, 387, 3368, 254, 401, 479, 286, 19, 457, 1130, 352, 3833, 1253, 6814, 597, 16, 2357, 4126, 9028, 267, 3760, 286, 16, 16667, 1244, 248, 4098, 325, 2473, 0, 2879, 32872, 18, 310, 1045, 417, 16865, 276, 2986, 1689, 188, 3327, 5439, 4117, 16667, 1845, 671, 16933, 311, 13829, 1849, 18, 310, 23033, 16, 839, 286, 12824, 457, 756, 274, 20862, 35598, 27938, 188, 378, 2843, 32648, 1685, 9360, 338, 4141, 86, 286, 79, 15, 272, 14, 961, 16, 33, 16, 360, 16, 318, 254, 580, 16, 1390, 274, 1051, 11775, 20911, 43618, 1694, 781, 1090, 274, 377, 1845, 839, 10807, 7998, 7525, 16, 8218, 282, 328, 2673, 1848, 413, 1519, 343, 311, 13013, 86, 915, 254, 36248, 3442, 16, 286, 282, 70, 37323, 188, 576, 2245, 21404, 16114, 7262, 27, 282, 408, 3156, 4214, 282, 16, 38934, 85, 9846, 310, 7525, 457, 2318, 436, 188, 14, 6480, 4244, 628, 1305, 16512, 417, 486, 843, 826, 1603, 2306, 309, 8669, 10700, 624, 35464, 26582, 937, 309, 254, 188, 21516, 33393, 324, 576, 16865, 4358, 10046, 5398, 37292, 5025, 1623, 274, 310, 8159, 2140, 14, 254, 452, 27, 368, 33, 276, 282, 248, 282, 276, 368, 593, 1390, 452, 13958, 1045, 25754, 26582, 16, 20049, 254, 1664, 33, 53, 248, 595, 3833, 14, 769, 3833, 67, 254, 14, 328, 1903, 188, 248, 46010, 743, 813, 1922, 2421, 457, 32016, 311, 14, 434, 255, 248, 387, 327, 1162 ]
[ 1, 29562, 452, 872, 1630, 286, 6158, 633, 16, 16, 14, 248, 248, 276, 772, 18, 14, 13908, 276, 3335, 1899, 274, 6915, 963, 309, 785, 436, 248, 1074, 587, 47097, 11518, 670, 1074, 254, 36, 4563, 1002, 16, 321, 476, 188, 2485, 16, 11530, 417, 743, 5569, 496, 282, 2182, 801, 15542, 248, 353, 3413, 13659, 311, 14, 368, 276, 16709, 395, 85, 4149, 452, 961, 1015, 330, 188, 24289, 473, 403, 1464, 8671, 16, 1726, 24289, 324, 633, 286, 248, 1260, 1668, 188, 254, 10922, 16, 16, 21177, 17165, 872, 2362, 311, 380, 457, 4617, 561, 1619, 1108, 327, 1339, 282, 311, 311, 29301, 282, 276, 11, 14, 327, 248, 368, 7895, 6805, 33, 5652, 830, 368, 33, 1523, 14, 16, 872, 811, 327, 2507, 619, 494, 360, 33, 16, 1872, 1497, 5879, 368, 254, 1272, 85, 510, 1678, 14, 16, 33433, 432, 2809, 561, 311, 360, 368, 276, 390, 15108, 5407, 9359, 2809, 282, 1223, 1004, 6083, 276, 3781, 3413, 12033, 286, 3699, 7413, 254, 16, 254, 457, 5655, 5461, 4273, 2024, 21025, 254, 254, 2980, 2809, 18, 6789, 286, 4830, 10114, 1230, 1594, 282, 961, 16, 5569, 368, 254, 1477, 327, 311, 16, 34504, 743, 403, 86, 1063, 188, 28, 353, 14, 944, 17560, 314, 8785, 188, 21, 19836, 14, 16, 428, 274, 12308, 555, 14, 188, 19, 368, 380, 14, 6400, 22065, 1125, 17227, 14414, 343, 1062, 576, 457, 1212, 12142, 286, 14809, 9484, 1076, 188, 16755, 1062, 14, 3624, 11, 1129, 248, 476, 533, 0, 286, 16576, 1438, 324, 10554, 328, 295, 311, 375, 16, 11415, 282, 3870, 20890, 403, 6980, 613, 452, 328, 7211, 1162, 8065, 633, 3413, 3957, 248, 248, 390, 1842, 47574, 368, 33, 3567, 5379, 974, 1091, 670, 668, 1252, 1444, 1830, 188, 11102, 20253, 14, 390, 1438, 748, 343, 368, 16, 2572, 286, 272, 324, 830, 309, 274, 24289, 20, 436, 1726, 16, 3233, 11, 10875, 24709, 24289, 1308, 328, 360, 14, 479, 5651, 28, 27912, 2151, 24289, 5925, 1213, 4893, 2546, 248, 248, 417, 368, 14, 254, 4654, 785, 274, 22196, 915, 974, 18, 1438, 19552, 188, 1157, 272, 633, 7754, 24289, 276, 1408, 26, 23, 1063, 2210, 633, 942, 496, 22065, 476, 1767, 5652, 368, 16, 671, 18, 457, 633, 1963, 2471, 324, 254, 2008, 282, 274, 626, 17334, 274, 593, 16576, 14, 1269, 3079, 2024, 188, 24289, 286, 24289, 368, 276, 14, 596, 748, 282, 403, 311, 3413, 188, 16, 618, 17692, 310, 311, 286, 30925, 6621, 3338, 1638, 974, 633, 6789, 596, 2497, 593, 7414, 593, 254, 22971, 561, 20705, 565, 10699, 274, 16, 387, 3006, 3280, 47352, 9806, 1011, 20343, 16, 14, 10554, 390, 19, 15266, 5243, 444, 2774, 15125, 21, 248, 254, 272, 1822, 3, 14, 6825, 16, 20549, 276, 7614, 17865, 436, 311, 5942, 248, 1767, 843, 5030, 368, 15665, 46838, 13517, 4793, 14, 14, 555, 250, 452, 16, 561, 348, 2468, 282, 282, 16, 16, 4503, 24289, 282, 10072, 14, 933, 14, 311, 188, 10875, 21616, 476, 390, 441, 587, 276, 7573, 5652, 321, 2520, 512, 251, 7528, 32611, 286, 16755, 10114, 713, 254, 360, 633, 4684, 10875, 3413, 8035, 14, 6920, 1038, 10554, 16, 403, 16, 403, 311, 20, 4029, 16, 1450, 5053, 14, 20416, 476, 14789, 1483, 34504, 16, 47574, 19588, 20464, 2141, 14, 1090, 276, 596, 282, 944, 715, 16, 28, 374, 24289, 36, 2497, 327, 17097, 4823, 248, 378, 682, 1081, 19, 22551, 310, 16755, 1789, 254, 14, 633, 14, 1041, 286, 34392, 1703, 6844, 4489, 368, 457, 390, 1872, 452, 6191, 7461, 596, 587, 390, 25935, 188, 17309, 34504, 1663, 16755, 785, 327, 9290, 188, 286, 353, 19, 641, 248, 650, 1767, 309, 368, 5210, 10875, 7629, 17692, 8706, 254, 311, 671, 1230, 2615, 743, 633, 6805, 655, 772, 3567, 3699, 14, 248, 438, 286, 276, 6216, 452, 596, 2705, 16, 4603, 1316, 10611, 8325, 0, 368, 756, 348, 615, 670, 380, 16, 286, 47980, 390, 510, 470, 826, 476, 633, 20, 16, 14, 2445, 670, 7211, 2683, 188, 417, 1020, 2245, 3708, 403, 457, 248, 3957, 826, 368, 31794, 272, 18, 16, 1982, 4602, 14, 276, 14, 2072, 282, 328, 2497, 8340, 615, 311, 348, 286, 360, 596, 248, 2245, 927, 3469, 248, 274, 4205, 476, 286, 10554, 16, 476, 10554, 360, 374, 6648, 85, 596, 19450, 16, 7049, 254, 1683, 254, 1640, 6329, 387, 7212, 282, 321, 13511, 24289, 3413, 16, 16245, 1897, 380, 254, 10554, 343, 1230, 20, 4617, 188, 248, 633, 3611, 1726, 10554, 457, 16, 24289, 14881, 254, 839, 16, 939, 360, 3015, 452, 596, 24289, 276, 248, 3413, 615, 14, 25288, 1339, 321, 4341, 368, 633, 1594, 324, 22205, 248, 188, 633, 1412, 2546, 5884, 18178, 865, 14989, 14, 2066, 18, 785, 311, 5537, 16, 5053, 17430, 3280, 8958, 1193, 10875, 4558, 848, 2489, 309, 513, 330, 380, 14, 17511, 3280, 3699, 930, 3621, 2703, 26588, 3757, 3095, 368, 2468, 671, 5876, 1689, 343, 2151, 748, 16755, 1594, 282, 10989, 3781, 747, 830, 248, 16, 2640, 10699, 25, 417, 1354, 12967, 4466, 24289, 390, 470, 248, 3690, 5270, 282, 368, 2482, 286, 251, 3563, 16, 20296, 21448, 3853, 743, 1963, 23839, 7948, 417, 27341, 86, 24289, 14, 16, 33, 353, 26553, 348, 9113, 16, 20, 1781, 248, 417, 1205, 282, 188, 24289, 331, 1999, 2120, 729, 328, 14, 596, 16523, 278, 11, 254, 1659, 633, 248, 24289, 254, 368, 5379, 1615, 309, 7919, 343, 272, 2622, 1395, 17727, 35026, 5210, 1982, 2701, 276, 390, 28, 576, 748, 1230, 282, 327, 476, 282, 24289, 7697, 8178, 1289, 4590, 16, 432, 314, 669, 254, 368, 3957, 248, 944, 2360, 16, 2346, 274, 3819, 748, 248, 321, 14, 282, 615, 3413, 6750, 254, 286, 28, 282, 2247, 274, 360, 321, 4243, 774, 15645, 282, 286, 34921, 470, 188, 353, 633, 10794, 14, 748, 311, 1039, 309, 36, 1847, 16586, 24709, 6577, 14, 314, 3957, 274, 512, 276, 10554, 441, 360, 15890, 254, 2057, 327, 16755, 324, 4996, 274, 5376, 743, 16, 328, 16, 7034, 5652, 1212, 457, 10554, 3148, 254, 282, 669, 36513, 34068, 785, 9679, 248, 22971, 314, 743, 2024, 309, 3809, 772, 695, 2008, 2411, 532, 751, 1382, 476, 309, 15617, 6805, 282, 282, 254 ]
[ 1, 11902, 11598, 1827, 15927, 1800, 5397, 18, 1779, 82, 8538, 11902, 983, 5318, 11196, 38, 82, 82, 53, 15135, 65, 983, 37585, 1210, 4523, 3933, 261, 804, 65, 888, 17, 804, 19, 11196, 18, 2012, 38, 1076, 2855, 70, 14, 26153, 61, 261, 72, 56, 65, 534, 926, 14, 82, 3185, 11196, 11196, 55, 12088, 11555, 306, 21, 8456, 65, 470, 2192, 33734, 470, 470, 27, 45098, 55, 5397, 483, 28, 38, 477, 367, 62, 339, 19212, 10, 65, 10855, 188, 684, 11902, 9346, 1770, 14835, 31, 16, 11902, 647, 647, 188, 367, 18, 246, 27, 37525, 1893, 30548, 11902, 53, 11902, 10, 14, 14, 36, 30548, 7679, 558, 603, 65, 65, 2192, 65, 607, 19, 19212, 426, 2384, 1779, 10, 1369, 261, 18, 1210, 261, 188, 1935, 65, 585, 19114, 55, 18, 14, 18, 16, 11196, 5813, 16, 14, 65, 2855, 26, 11707, 14, 14, 14, 6106, 10, 470, 86, 367, 14, 18, 27, 16, 11196, 36, 367, 17, 6608, 33423, 2192, 65, 82, 10, 16, 426, 19114, 10, 3245, 14, 90, 65, 1369, 28331, 14, 22851, 14, 3072, 261, 12897, 15927, 10, 983, 72, 24, 11886, 62, 558, 82, 65, 261, 63, 399, 1210, 18, 278, 61, 647, 18, 38, 65, 2012, 6106, 261, 23676, 10, 1800, 55, 393, 1696, 10, 24, 188, 607, 1188, 65, 6892, 82, 188, 2384, 576, 374, 10, 65, 261, 38, 11902, 2717, 24, 14688, 11707, 14, 23, 477, 9346, 24, 63, 1779, 585, 426, 10424, 12897, 1210, 38, 19212, 374, 9410, 14, 70, 65, 15088, 7679, 3270, 14, 15, 306, 65, 647, 399, 10, 4213, 19, 14, 90, 54, 33423, 11707, 426, 477, 18, 261, 4552, 14, 23, 10, 6106, 15088, 23, 8456, 470, 564, 11, 870, 23, 11902, 82, 1210, 21, 276, 18, 278, 7481, 14629, 14, 11196, 3933, 11902, 188, 2012, 6106, 62, 16, 1510, 4655, 14629, 14, 26, 10, 3291, 2717, 324, 21952, 29862, 647, 1554, 1076, 15713, 8456, 65, 30548, 477, 261, 1262, 23676, 86, 14, 347, 90, 1465, 10424, 1510, 16, 14, 1210, 3072, 325, 1779, 14835, 261, 1779, 18, 38, 261, 188, 1800, 536, 21952, 470, 338, 65, 338, 23002, 338, 11196, 428, 477, 1779, 24, 246, 80, 2192, 1067, 477, 10, 55, 8456, 3291, 1244, 14, 1210, 647, 61, 367, 1779, 78, 11196, 11707, 647, 10, 61, 9147, 576, 13469, 585, 18, 38, 32101, 22, 18, 18, 65, 18566, 3563, 188, 18, 2046, 4369, 1800, 33734, 1800, 14, 28, 52, 49, 1188, 14, 82, 10567, 14, 27, 534, 10, 14, 19212, 261, 5, 261, 12400, 1358, 78, 27, 1188, 338, 70, 188, 1188, 65, 926, 261, 38, 82, 2805, 3185, 27, 11618, 1244, 28, 870, 2384, 14, 1244, 16, 1534, 1779, 15098, 495, 261, 10, 11707, 19114, 581, 10, 41, 61, 20, 19114, 26874, 14, 1827, 426, 11196, 65, 246, 10, 24, 4365, 1779, 16, 16, 367, 1800, 14629, 4905, 428, 14629, 10, 18566, 1779, 585, 426, 2010, 19, 2500, 65, 65, 82, 15927, 2192, 477, 45560, 374, 28, 13469, 470, 1779, 188, 65, 14, 2717, 65, 1465, 585, 2717, 1030, 18, 1800, 65, 82, 35, 18, 470, 61, 314, 1779, 306, 5094, 65, 27, 426, 82, 6106, 188, 61, 470, 0, 1800, 34296, 38, 7073, 24, 11902, 261, 10, 188, 261, 90, 11902, 21952, 72, 9385, 417, 2413, 338, 55, 33544, 3908, 314, 18, 18, 10, 18, 23, 32101, 19212, 24, 83, 483, 10, 3563, 14629, 338, 38, 1935, 14629, 426, 18, 1954, 14, 1209, 19, 983, 10, 18, 65, 3495, 10, 20, 55, 18, 24, 4280, 261, 19, 9869, 10, 14, 1689, 61, 21, 14, 276, 1779, 21, 11, 10, 45560, 11707, 581, 367, 11196, 5, 19, 14, 477, 1800, 1076, 14, 804, 585, 27, 65, 4623, 11902, 576, 14, 65, 426, 18, 21952, 1534, 276, 585, 16, 45560, 10, 367, 63, 269, 18, 19, 65, 14, 10, 585, 17775, 65, 19114, 338, 16, 188, 426, 18767, 2010, 27, 19114, 2012, 5094, 21, 88, 20, 82, 11, 30548, 18, 65, 1779, 38, 27, 21, 41, 38, 19114, 2224, 18, 10, 13783, 14, 36594, 1779, 5094, 83, 65, 188, 325, 14, 18, 374, 65, 14, 43384, 2192, 6892, 188, 1465, 63, 14, 18, 82, 1465, 82, 585, 495, 10, 374, 21, 65, 65, 17, 14, 1030, 261, 23, 261, 21952, 477, 10462, 38, 426, 1188, 1067, 426, 324, 65, 261, 11196, 21, 14, 16, 72, 581, 11196, 14, 36594, 188, 10, 30548, 1210, 65, 18, 65, 2046, 2012, 88, 373, 10, 10, 18, 86, 791, 1779, 18, 3933, 4552, 63, 26, 14, 1217, 52, 21952, 14, 72, 10, 16, 261, 10, 14, 613, 10, 65, 1779, 80, 1244, 2413, 8456, 707, 35295, 14, 1827, 55, 261, 2010, 11902, 9, 1188, 65, 18, 269, 14, 2820, 1952, 1210, 246, 13553, 11, 16, 10, 1076, 367, 367, 324, 2192, 10, 12897, 20, 38, 10, 8456, 475, 5823, 26, 374, 2413, 8376, 38, 65, 11, 11902, 45098, 188, 581, 5094, 18566, 19463, 426, 38931, 11902, 61, 367, 18566, 1779, 2689, 1800, 38, 21, 19, 18, 1262, 21, 21, 1369, 65, 10424, 12296, 18, 10, 18, 261, 10, 14, 11196, 23, 14, 1205, 1262, 38, 10, 10, 12400, 15927, 21, 82, 14, 426, 26, 14, 82, 65, 261, 14, 29817, 6106, 314, 647, 20, 585, 261, 1356, 15927, 65, 188, 14, 14, 38, 1827, 26, 38, 367, 1188, 11, 63, 38, 43384, 18, 426, 338, 61, 470, 870, 10, 2190, 11707, 19, 30548, 65, 2484, 26004, 1210, 558, 10, 3193, 7252, 407, 65, 10, 684, 10, 18, 8456, 1076, 477, 477, 10, 477, 18, 82, 11902, 11902, 82, 261, 14, 1262, 14, 426, 18, 86, 38, 9147, 53, 335, 63, 2855, 2484, 10, 11196, 72, 2484, 16, 261, 399, 188, 585, 37737, 2076, 5283, 3495, 306, 16, 188, 5094, 13575, 82, 2010, 585, 5094, 188, 38, 10, 16, 70, 65, 18, 6106, 1954, 585, 1210, 1320, 269, 15927, 11902, 13160, 706, 417, 8456, 585, 18566, 82, 32101, 18, 16199, 7048, 26004, 89, 23676, 188, 15927, 426, 1689, 19, 1510, 19, 23, 5318, 14, 647, 6106, 14, 82, 2076, 367, 367, 6106, 18, 61, 8343, 477, 477, 10855, 11707, 335, 10, 269, 21, 470, 6106, 1205, 2165, 19, 5283, 11902, 11, 90 ]
[ 1, 343, 12111, 6086, 25602, 1115, 374, 2884, 7507, 16, 1368, 81, 740, 188, 1282, 4615, 18, 276, 324, 20778, 75, 274, 3402, 311, 3, 188, 274, 248, 25358, 276, 307, 254, 5346, 254, 68, 321, 495, 5523, 13525, 8221, 272, 327, 254, 551, 47492, 37753, 16, 75, 440, 3, 254, 618, 20794, 276, 248, 8054, 34379, 254, 1640, 282, 2341, 2520, 6097, 274, 274, 4317, 368, 85, 188, 1480, 14, 395, 794, 2218, 15256, 390, 19, 274, 254, 9890, 13326, 14, 1186, 889, 188, 9845, 16, 18383, 31552, 7320, 254, 4970, 274, 14, 1427, 1220, 16590, 14726, 1238, 43, 30583, 254, 580, 357, 9220, 457, 457, 16168, 274, 18, 274, 476, 1120, 8054, 2741, 7574, 590, 188, 274, 15, 1253, 16, 619, 32186, 551, 4832, 23, 8872, 327, 915, 311, 6828, 23, 25788, 21, 18, 729, 13168, 5241, 8872, 12537, 33211, 3396, 374, 248, 11287, 276, 2759, 16, 254, 324, 2124, 41366, 1582, 18, 19, 18477, 22451, 1827, 13525, 25387, 16380, 103, 7388, 282, 9842, 286, 324, 276, 7102, 9423, 384, 452, 16875, 274, 7199, 772, 3851, 31416, 274, 276, 6558, 1221, 344, 3310, 747, 3547, 16, 265, 21841, 282, 254, 27310, 14, 3364, 248, 85, 35824, 35, 1280, 12957, 357, 23318, 17516, 258, 274, 338, 686, 14, 16, 641, 5734, 39448, 662, 24941, 369, 42460, 281, 13040, 23, 9901, 633, 254, 338, 14, 662, 476, 16380, 374, 282, 378, 10244, 3153, 769, 1042, 16, 26414, 311, 85, 5189, 555, 188, 338, 31031, 357, 343, 254, 7650, 396, 345, 3547, 1783, 15, 10427, 254, 5935, 254, 310, 3470, 7034, 14, 248, 311, 1491, 888, 4910, 46231, 25358, 532, 10727, 457, 2144, 20282, 188, 311, 322, 784, 286, 2041, 36539, 4190, 188, 665, 2343, 495, 40772, 254, 91, 671, 6199, 16, 9157, 188, 368, 35158, 6255, 8459, 10030, 13121, 18451, 2023, 9357, 286, 10452, 5467, 26, 46104, 23679, 27173, 14, 16, 4995, 23, 343, 16380, 24339, 1919, 1665, 24339, 16663, 16, 520, 9274, 457, 1427, 6942, 16, 276, 21770, 8557, 188, 188, 10244, 9842, 328, 33526, 580, 865, 819, 272, 387, 8634, 328, 11266, 16, 91, 29, 17406, 561, 16, 19910, 3782, 310, 0, 1640, 286, 311, 915, 683, 15201, 27, 4829, 71, 25788, 286, 16, 909, 18, 3191, 274, 24, 387, 5138, 12451, 16590, 282, 272, 11017, 343, 374, 10186, 276, 16, 274, 249, 37215, 8054, 818, 310, 15402, 6423, 12968, 432, 441, 26, 29, 45192, 14, 618, 387, 6221, 321, 417, 47287, 27501, 1427, 18692, 21082, 551, 13168, 414, 387, 248, 406, 1663, 25788, 740, 758, 188, 610, 13525, 29971, 442, 19, 5637, 210, 26043, 270, 641, 40, 24027, 3414, 26, 286, 434, 22451, 210, 309, 26, 286, 3014, 597, 1157, 25676, 1569, 254, 26, 747, 17646, 2876, 327, 4402, 457, 17522, 1863, 338, 254, 11988, 25, 12412, 45718, 274, 1260, 27492, 1590, 25113, 254, 282, 20282, 8872, 13133, 2408, 25102, 85, 16, 432, 24463, 416, 321, 269, 1062, 188, 41366, 2951, 276, 27, 24463, 3191, 188, 28, 254, 248, 482, 779, 14, 248, 282, 27, 14, 25591, 85, 20, 6423, 2780, 1256, 1013, 10244, 18144, 3, 454, 16, 2718, 360, 274, 2019, 2286, 0, 2696, 6631, 254, 520, 85, 8533, 254, 274, 254, 16, 21838, 248, 388, 17258, 2187, 57, 21891, 457, 188, 286, 14, 387, 457, 81, 18, 254, 22383, 310, 42460, 9747, 188, 14, 5325, 15366, 760, 248, 759, 42460, 308, 6728, 17194, 407, 5495, 266, 282, 343, 28388, 636, 457, 14, 188, 286, 599, 15201, 16, 12317, 10564, 23, 2463, 248, 254, 30398, 3998, 2377, 86, 15432, 751, 1637, 16, 395, 98, 26610, 282, 328, 4615, 801, 12288, 3417, 1158, 5421, 7640, 1723, 29, 1417, 7617, 324, 495, 619, 274, 436, 432, 286, 1569, 28507, 16, 276, 374, 625, 36514, 16, 10244, 37731, 254, 4109, 1926, 9493, 254, 248, 286, 14, 282, 9394, 16, 29, 1822, 353, 295, 452, 417, 394, 3611, 299, 4009, 29298, 12957, 188, 33102, 10172, 286, 386, 4043, 602, 2413, 328, 12683, 2836, 18, 4297, 5523, 282, 274, 254, 587, 29715, 2328, 210, 25788, 1223, 35824, 10945, 2836, 9966, 46635, 5494, 85, 1008, 188, 1128, 254, 32186, 14, 14, 274, 743, 22119, 619, 1920, 596, 14, 248, 16, 344, 54, 729, 8747, 445, 15402, 7034, 2723, 19, 3, 1982, 248, 286, 11658, 85, 274, 6715, 537, 19570, 254, 10060, 374, 254, 286, 457, 751, 16, 0, 2114, 2758, 14, 390, 286, 1427, 1130, 1391, 740, 1385, 1002, 10126, 16, 495, 75, 14, 8195, 14, 8054, 476, 830, 321, 794, 0, 597, 28, 338, 687, 457, 740, 13067, 310, 188, 324, 562, 16, 10060, 248, 312, 12537, 9842, 85, 521, 368, 417, 327, 457, 274, 16, 14799, 542, 551, 390, 248, 624, 29, 5523, 432, 8946, 2722, 17591, 436, 7379, 772, 188, 4297, 872, 19, 1186, 75, 619, 16380, 1638, 798, 254, 1354, 27, 23, 2497, 2927, 16717, 42460, 457, 486, 1516, 14, 15, 1304, 254, 382, 343, 33, 31552, 14499, 18, 457, 16, 348, 343, 2123, 16319, 23679, 28401, 510, 6654, 286, 16, 619, 671, 254, 39022, 188, 13521, 4119, 19453, 12957, 387, 1316, 2065, 188, 1579, 2977, 12249, 19, 532, 188, 15350, 453, 84, 18531, 19, 16, 5619, 31552, 252, 12957, 6971, 1503, 17985, 282, 8221, 248, 274, 274, 11108, 1621, 587, 255, 353, 10244, 2210, 687, 3326, 14074, 272, 188, 274, 4313, 27, 5554, 16, 254, 188, 8994, 16, 1091, 343, 16, 834, 807, 188, 417, 13151, 21634, 357, 34548, 310, 16, 1590, 403, 380, 31235, 286, 1012, 889, 43040, 1090, 254, 1012, 17194, 188, 457, 434, 687, 248, 1416, 314, 395, 374, 3424, 7421, 0, 5891, 8825, 280, 581, 22715, 641, 16, 3545, 19665, 12217, 338, 91, 274, 41891, 3906, 610, 750, 592, 286, 23757, 3809, 1361, 19966, 1339, 368, 2341, 286, 5232, 282, 188, 24463, 6050, 33106, 1507, 1149, 395, 643, 618, 25591, 2341, 6033, 25, 31789, 188, 911, 14, 20710, 826, 6423, 4126, 1169, 286, 188, 747, 31867, 11100, 2234, 75, 774, 1416, 328, 2531, 395, 6244, 9622, 3567, 2956, 16, 2210, 17234, 276, 3132, 911, 14074, 286, 42946, 6199, 16, 254, 33, 22966, 9842, 4099, 16, 618, 403, 324, 2244, 276, 740, 2169, 8114, 14, 254, 1427, 30643, 1640, 909, 407, 650, 399, 286, 16, 35824, 272, 3364 ]
[ 1, 611, 2075, 2490, 188, 16, 13883, 4565, 457, 16, 2874, 248, 476, 248, 2072, 368, 251, 751, 6053, 457, 286, 670, 2871, 15, 16, 1354, 2966, 563, 2038, 593, 15, 2353, 248, 7213, 286, 16, 5577, 1619, 348, 282, 286, 593, 1623, 311, 248, 29803, 248, 580, 11820, 14, 457, 555, 188, 512, 348, 353, 8114, 2874, 2529, 2497, 48098, 587, 2449, 6250, 889, 9308, 11090, 457, 22286, 403, 16, 14997, 4279, 254, 20379, 580, 16, 1722, 42987, 254, 2497, 254, 286, 596, 32433, 403, 5085, 4793, 188, 1181, 16, 11023, 13178, 4269, 274, 16, 4244, 2634, 607, 422, 580, 748, 457, 14488, 16, 368, 25837, 927, 13271, 597, 16533, 476, 276, 520, 276, 14630, 16, 3021, 2424, 254, 1260, 348, 89, 1017, 457, 1625, 17715, 974, 15, 688, 403, 8645, 624, 476, 343, 286, 1515, 1308, 282, 633, 7823, 2350, 37239, 748, 1408, 368, 14, 15679, 86, 16, 14, 282, 32433, 54, 348, 6191, 14, 626, 2408, 16, 5346, 248, 282, 16, 321, 8418, 248, 327, 3144, 2626, 8013, 1268, 476, 274, 3831, 6939, 248, 457, 1678, 1845, 353, 282, 188, 597, 1002, 254, 14, 368, 603, 4544, 15, 272, 2706, 248, 28175, 2835, 14, 2835, 311, 2008, 188, 368, 14, 1153, 254, 403, 719, 1707, 282, 1755, 747, 2657, 12077, 7059, 286, 977, 476, 2187, 14380, 1678, 328, 15246, 43604, 282, 34506, 11090, 4443, 401, 626, 457, 89, 11897, 248, 368, 2169, 580, 3458, 85, 272, 748, 17715, 713, 327, 14, 327, 5416, 2701, 944, 633, 15, 615, 819, 348, 1547, 4816, 254, 248, 32433, 5740, 12572, 22, 1241, 713, 380, 16, 286, 368, 10393, 626, 669, 42521, 300, 38716, 254, 10308, 670, 2396, 248, 14, 10308, 2982, 2602, 254, 2003, 16, 254, 2758, 16, 19775, 33605, 35930, 311, 14989, 14, 14, 1247, 484, 188, 927, 4311, 6107, 327, 2424, 4244, 4270, 1491, 85, 16, 633, 16, 13271, 37132, 85, 1395, 2066, 1286, 2966, 1294, 14, 327, 248, 1444, 743, 345, 14231, 7271, 85, 580, 328, 457, 3861, 39418, 8950, 8645, 368, 457, 26799, 327, 251, 16, 1625, 14, 254, 16, 21619, 254, 687, 819, 16, 597, 16, 311, 1956, 4606, 513, 1051, 10487, 254, 4400, 939, 14, 12336, 927, 14, 18742, 35930, 6437, 14, 16, 16533, 37708, 254, 16, 251, 6013, 826, 368, 22966, 1990, 327, 15, 665, 8873, 580, 274, 751, 16, 4684, 14, 963, 432, 626, 9713, 10888, 5210, 1610, 10263, 248, 6727, 368, 348, 476, 2936, 18837, 254, 1041, 286, 251, 16, 282, 11709, 457, 307, 2746, 4646, 1221, 14, 2686, 274, 4244, 368, 254, 432, 29768, 24844, 368, 188, 276, 353, 274, 748, 403, 353, 1503, 669, 15, 855, 2320, 7624, 476, 1051, 633, 12918, 10308, 1951, 14, 327, 35930, 24243, 1128, 3638, 16, 641, 3379, 457, 282, 14794, 593, 6131, 16, 338, 1464, 353, 513, 35930, 282, 3646, 282, 11045, 731, 8555, 1153, 6053, 274, 6053, 15, 248, 2485, 254, 28526, 731, 2645, 14375, 7212, 7222, 353, 80, 555, 626, 251, 11153, 274, 18742, 14, 282, 254, 37308, 1438, 14, 830, 272, 2107, 2687, 85, 276, 587, 321, 2023, 10308, 15309, 12360, 2752, 254, 16, 1220, 254, 403, 14, 403, 248, 2646, 731, 663, 1916, 274, 348, 3432, 6053, 380, 321, 6320, 282, 6093, 512, 368, 1041, 11776, 6815, 248, 9138, 8053, 4269, 1594, 15, 915, 24908, 15, 633, 15, 85, 1852, 2034, 963, 5562, 641, 6949, 2626, 16, 353, 1479, 274, 561, 16, 5041, 748, 963, 4422, 274, 1286, 452, 457, 1656, 10209, 1508, 1842, 14, 948, 348, 1830, 603, 276, 830, 1438, 11466, 457, 1042, 9747, 282, 16, 1350, 836, 16, 10689, 251, 353, 561, 6053, 18, 272, 254, 274, 6939, 368, 41242, 5210, 248, 5070, 286, 2416, 18639, 476, 15, 15, 7528, 353, 944, 6939, 282, 248, 254, 327, 311, 1042, 368, 282, 417, 2485, 274, 1063, 311, 47374, 311, 3831, 8164, 274, 790, 1220, 8899, 254, 16, 743, 22729, 1180, 286, 403, 33143, 43735, 5537, 14115, 348, 7395, 348, 327, 7995, 16, 324, 1056, 282, 16, 1845, 251, 324, 16, 941, 282, 2645, 1263, 254, 254, 404, 16, 790, 25105, 423, 596, 14, 248, 251, 11859, 37708, 15, 10308, 1012, 272, 669, 6255, 327, 719, 85, 14, 15, 311, 4832, 1480, 368, 603, 2563, 1390, 348, 10073, 14, 5511, 4806, 633, 457, 473, 963, 274, 457, 1057, 16, 327, 390, 353, 188, 3462, 1525, 2523, 248, 14, 311, 1394, 624, 8873, 852, 39206, 343, 731, 10308, 254, 380, 15, 16533, 254, 743, 327, 345, 16, 1042, 835, 6215, 1394, 16, 1253, 14, 9791, 1026, 436, 742, 2350, 23901, 2008, 2532, 932, 9260, 1130, 5440, 603, 407, 9892, 16, 282, 561, 18603, 353, 4565, 476, 17126, 12572, 11976, 5127, 35930, 15, 18991, 2042, 5114, 327, 665, 6939, 963, 5510, 650, 3061, 16920, 4422, 387, 597, 248, 1354, 272, 11922, 403, 6053, 669, 368, 286, 2713, 12492, 2563, 35930, 248, 368, 47966, 274, 368, 15, 8873, 841, 16, 9196, 274, 2485, 16, 888, 729, 15, 80, 456, 16, 1238, 452, 5634, 248, 3034, 14, 14, 452, 19277, 348, 944, 6211, 390, 248, 14, 16, 282, 16, 4045, 368, 368, 633, 1625, 80, 2692, 248, 7815, 274, 3845, 1286, 33573, 1042, 10308, 33, 3652, 457, 324, 188, 2517, 311, 345, 3294, 311, 3831, 254, 2818, 327, 3867, 3805, 2713, 15, 841, 286, 1610, 2835, 348, 963, 348, 188, 15, 33, 29364, 790, 10847, 2622, 4017, 16, 20379, 272, 348, 1789, 1683, 311, 311, 14, 327, 12394, 16, 2835, 6107, 276, 31890, 14586, 963, 254, 274, 286, 7815, 273, 274, 348, 254, 2028, 369, 5690, 14, 5582, 3199, 286, 2634, 348, 10689, 248, 4647, 324, 276, 17404, 1015, 7950, 5691, 403, 607, 633, 4189, 4877, 476, 1183, 1041, 368, 1903, 286, 836, 348, 286, 1220, 2645, 4269, 1181, 254, 16, 4090, 8372, 25837, 282, 7213, 254, 33, 25738, 596, 353, 254, 417, 15, 14, 37601, 6975, 276, 16533, 3912, 4322, 1012, 1308, 15, 276, 18742, 276, 811, 390, 254, 19277, 348, 16642, 633, 18837, 327, 6204, 390, 1220, 15, 254, 40, 89, 1241, 683, 274, 5577, 2034, 14, 368, 2072, 18854, 1394, 5480, 9138, 423, 6578, 21413, 1041, 1260, 2187, 898, 15, 7732, 248, 311, 10689, 15, 33, 561, 9159, 368, 327, 15, 2874, 669 ]
[ 1, 11475, 16, 65, 2012, 45098, 3510, 2012, 423, 16, 266, 11, 1740, 3493, 1972, 603, 11, 603, 1003, 39366, 324, 1827, 16, 10633, 784, 1740, 12653, 16, 5868, 45098, 784, 1819, 44288, 256, 392, 1003, 3343, 266, 5868, 1827, 31, 4608, 65, 282, 19211, 276, 14, 647, 603, 3060, 10633, 926, 256, 926, 1574, 16, 14, 16, 926, 926, 1827, 16, 344, 5141, 19230, 916, 3243, 2621, 80, 2959, 65, 926, 1003, 684, 1003, 3067, 37282, 11475, 34854, 1516, 1465, 31, 603, 2012, 13855, 647, 784, 16, 1827, 28, 16, 426, 20814, 19003, 1827, 917, 19230, 6171, 447, 4862, 4668, 1635, 254, 15859, 647, 362, 28, 8382, 344, 18579, 5550, 4608, 4298, 10543, 20130, 30310, 684, 926, 256, 16247, 1262, 684, 6472, 2468, 784, 65, 19003, 2959, 733, 926, 1392, 16, 603, 40444, 65, 916, 1358, 256, 13855, 24931, 6923, 2720, 917, 42148, 2012, 10, 16, 3243, 1262, 1800, 684, 11, 603, 917, 3179, 6923, 362, 16, 256, 42148, 256, 13730, 1827, 801, 268, 20270, 1827, 18913, 3243, 15859, 647, 684, 917, 1479, 1003, 603, 19230, 926, 670, 16, 16, 45098, 282, 16247, 4862, 1800, 38399, 3117, 3584, 417, 256, 65, 1262, 13730, 8896, 6472, 11, 603, 7414, 684, 426, 266, 258, 9175, 210, 2720, 926, 14, 256, 1003, 22344, 256, 8382, 1827, 65, 16, 5868, 2012, 744, 16, 282, 2959, 327, 79, 2087, 784, 16, 593, 6171, 2012, 426, 403, 3060, 3067, 254, 266, 1195, 3226, 20270, 926, 1952, 14, 49, 65, 16, 65, 10633, 784, 603, 5141, 4862, 917, 10362, 10, 1003, 4608, 6171, 8382, 26491, 34178, 10, 2959, 10633, 603, 455, 38399, 14, 15859, 344, 10633, 266, 248, 2768, 2768, 2087, 44288, 30310, 912, 2768, 926, 900, 4005, 65, 791, 44438, 16762, 1952, 2621, 256, 16, 33453, 2012, 11916, 28, 3899, 266, 5141, 6975, 10633, 16, 647, 1554, 28, 1827, 2959, 532, 11475, 16, 889, 16, 447, 1003, 931, 4418, 1800, 426, 926, 784, 3934, 4445, 1827, 3060, 28, 684, 324, 426, 1827, 10633, 16, 10, 2621, 558, 65, 917, 1827, 3299, 3067, 45098, 3032, 24318, 13855, 5141, 36, 14212, 3544, 784, 684, 65, 2012, 16, 926, 22344, 283, 10633, 16, 465, 45098, 603, 14, 14, 5868, 274, 4020, 11, 77, 684, 15965, 254, 1003, 1491, 36, 1003, 14212, 6975, 16, 426, 2224, 1302, 2959, 10633, 254, 20270, 4765, 16, 647, 65, 23614, 11475, 16, 28, 680, 2012, 926, 42148, 11033, 3006, 27985, 34178, 16, 13855, 784, 42148, 2012, 6171, 926, 2959, 256, 555, 10633, 79, 3060, 1740, 344, 804, 14212, 266, 426, 926, 266, 1551, 12494, 647, 16, 671, 3726, 2768, 16, 1358, 6472, 426, 2012, 45098, 30310, 16, 16, 19230, 28, 784, 324, 311, 1827, 3299, 16247, 5141, 2012, 1067, 784, 931, 10633, 34178, 1800, 42148, 16342, 11, 684, 65, 3864, 10, 704, 1003, 40271, 344, 256, 13730, 20270, 647, 2282, 1574, 3060, 39366, 11, 3067, 3584, 347, 926, 16, 1827, 5141, 266, 10, 926, 8037, 324, 3006, 926, 330, 392, 1003, 3361, 926, 1358, 426, 603, 22344, 1477, 1827, 362, 647, 254, 784, 7902, 3067, 38399, 1800, 426, 733, 13117, 647, 8382, 8037, 3060, 647, 1076, 42148, 1547, 926, 3361, 3067, 266, 603, 65, 45098, 16, 1286, 589, 9175, 647, 266, 10, 266, 926, 23881, 65, 26451, 5868, 1262, 2313, 44288, 5868, 38399, 14, 917, 684, 14, 1003, 680, 19003, 8382, 9, 80, 347, 558, 6171, 45098, 16, 16, 11, 16, 310, 718, 647, 426, 266, 2382, 14, 2192, 1827, 276, 926, 42148, 28359, 684, 2430, 5141, 311, 647, 266, 10633, 79, 19230, 254, 603, 256, 426, 6593, 344, 311, 1827, 1827, 647, 30310, 23614, 647, 10, 6613, 9, 684, 16, 28, 13730, 16, 933, 647, 344, 1827, 680, 3060, 248, 16, 210, 256, 4862, 14, 784, 266, 1952, 266, 1827, 1827, 931, 274, 10633, 266, 647, 45098, 11916, 16, 16, 11836, 1952, 82, 417, 1952, 82, 10, 804, 254, 1800, 85, 533, 28283, 647, 266, 268, 28, 603, 1554, 1003, 14212, 14, 647, 65, 1153, 3291, 344, 4862, 10633, 16, 417, 13730, 16, 3299, 2959, 38399, 10, 16, 16, 16, 4862, 45098, 4862, 2224, 926, 256, 603, 5868, 16, 2384, 18913, 11916, 9, 1003, 16, 2012, 926, 22344, 10633, 426, 15859, 321, 16, 684, 3067, 5550, 1827, 61, 282, 3067, 256, 16, 5868, 42148, 266, 2768, 14, 16247, 15135, 6171, 37282, 2192, 6472, 258, 16, 11033, 16, 2768, 16247, 17, 3864, 17584, 268, 16, 16247, 2224, 42148, 3067, 16, 14, 314, 3299, 926, 1465, 256, 20814, 1003, 8740, 684, 2012, 321, 16, 3510, 10633, 79, 314, 5141, 10, 926, 647, 3006, 684, 256, 14, 1554, 4862, 45098, 28, 82, 266, 18913, 1358, 311, 16, 18579, 784, 6923, 256, 10, 2768, 266, 6171, 9321, 647, 353, 65, 6171, 18428, 14439, 1003, 8740, 10633, 268, 6171, 34854, 684, 3226, 801, 2768, 256, 11, 276, 14, 1003, 680, 1262, 3584, 1827, 65, 426, 744, 16, 684, 16, 2768, 16, 10633, 65, 16247, 4608, 603, 784, 256, 392, 6472, 10, 1358, 1827, 3060, 28, 1262, 25398, 5141, 2224, 10, 2959, 3067, 1827, 3067, 684, 647, 65, 65, 1210, 2224, 3067, 1302, 46355, 79, 1574, 2012, 3427, 2629, 16, 8740, 1262, 926, 5141, 10633, 2621, 3067, 6171, 470, 343, 16, 65, 931, 4298, 912, 784, 1827, 603, 917, 276, 926, 353, 3067, 2768, 14, 26451, 5141, 44288, 647, 392, 65, 10, 14, 42148, 10, 647, 2621, 12494, 926, 63, 3544, 10633, 344, 2192, 1827, 1160, 254, 311, 22344, 3510, 31, 5550, 2720, 8382, 18913, 1067, 684, 45098, 3427, 403, 3510, 18913, 470, 16, 2386, 3067, 16, 42148, 2621, 19230, 36, 16, 16, 784, 16, 1800, 4005, 65, 10852, 15859, 1827, 684, 16, 8382, 10633, 1827, 10633, 80, 684, 647, 79, 65, 31968, 784, 926, 4390, 2579, 14068, 16, 26451, 45098, 5141, 366, 6923, 1358, 647, 16, 1733, 16, 916, 426, 16, 5135, 704, 14, 3067, 14, 28, 5141, 784, 3510, 395, 10, 10633, 426, 426, 2959, 266, 1800, 28, 16, 6472, 360, 6613, 20270, 647, 16247, 2768, 37282, 20652, 254, 1827, 3291, 39366, 80, 16, 16, 426, 5530, 2768, 4608, 684, 3067, 17079, 603, 26451, 266, 665, 4608, 15859, 283, 5141, 256, 684, 254, 3067, 28, 5983, 42148, 4937, 784, 37530, 362, 266, 11400, 3067, 916, 558, 10633, 14212, 926, 16 ]
[ 1, 19352, 16, 14, 22412, 5498, 5690, 4778, 360, 3418, 1305, 2156, 3854, 2610, 286, 4010, 16, 16669, 26532, 47625, 328, 5444, 16, 3768, 12668, 282, 1499, 1841, 286, 327, 14, 2712, 286, 286, 276, 35167, 16, 825, 670, 31217, 14, 5351, 479, 274, 750, 254, 1339, 39052, 4010, 14, 374, 254, 3470, 5797, 7674, 457, 254, 532, 457, 16, 14, 9185, 254, 532, 2410, 7948, 1480, 310, 254, 353, 22297, 545, 276, 3324, 248, 3505, 801, 403, 2317, 34814, 16, 298, 14, 0, 380, 16, 272, 3133, 24120, 7674, 5634, 20830, 963, 2023, 286, 22771, 13415, 1705, 933, 11413, 276, 15500, 327, 7023, 31106, 1851, 324, 286, 2560, 254, 14, 933, 328, 5734, 743, 4558, 529, 16, 2023, 597, 14, 311, 286, 16222, 2485, 88, 274, 785, 254, 369, 4126, 43, 33, 274, 8747, 33747, 16, 13531, 286, 8851, 3609, 5461, 307, 6140, 23377, 6213, 643, 16, 91, 1683, 286, 5866, 14, 274, 5704, 3026, 343, 5427, 2009, 9330, 14, 1887, 14, 17800, 9185, 282, 248, 286, 26122, 2828, 14, 248, 642, 12570, 311, 14053, 2023, 2114, 327, 5678, 15, 276, 500, 24130, 2790, 2731, 282, 14, 1038, 5925, 310, 1321, 6024, 343, 11656, 2883, 328, 16, 286, 255, 13467, 872, 20830, 23422, 473, 1516, 16, 9604, 14, 25419, 314, 353, 457, 282, 8118, 348, 23377, 7320, 14, 1577, 520, 18213, 1460, 276, 4541, 756, 248, 29820, 12866, 2152, 14, 43, 2290, 3379, 14, 11186, 387, 2943, 1615, 3351, 2353, 25419, 17985, 254, 310, 274, 7614, 6179, 18962, 457, 248, 23377, 801, 14115, 286, 188, 286, 1198, 3826, 23199, 324, 286, 497, 407, 869, 1845, 39916, 532, 1260, 286, 348, 254, 16, 311, 254, 2151, 248, 282, 14, 18007, 18751, 327, 274, 328, 4475, 763, 3483, 85, 618, 494, 324, 16, 457, 14053, 1596, 16, 14204, 274, 3805, 386, 282, 274, 21542, 9650, 16, 282, 4028, 3368, 274, 286, 529, 4525, 17035, 749, 618, 9347, 597, 9804, 6503, 13531, 37205, 18934, 1419, 3379, 23377, 33731, 663, 8856, 1321, 5105, 6109, 618, 2624, 494, 9391, 254, 248, 2055, 4778, 555, 274, 939, 248, 9185, 2843, 254, 4168, 32878, 533, 1400, 2349, 328, 286, 5105, 16, 6384, 2464, 7916, 20830, 26532, 3282, 13130, 2110, 16, 14, 14, 533, 272, 282, 494, 520, 311, 587, 6494, 436, 668, 36339, 282, 436, 1460, 53, 481, 254, 286, 5123, 286, 21433, 254, 310, 310, 286, 3673, 387, 2563, 1130, 25567, 348, 6344, 17891, 2318, 13415, 13531, 3127, 8517, 248, 2501, 6640, 17226, 1311, 86, 5427, 324, 1516, 282, 15696, 307, 254, 2610, 9328, 314, 274, 282, 286, 802, 479, 248, 11, 53, 14, 944, 38, 2339, 2610, 5687, 286, 276, 254, 3458, 12856, 85, 687, 607, 18351, 663, 33, 387, 618, 254, 248, 286, 23377, 2824, 6561, 2983, 7816, 16, 272, 324, 276, 16, 14204, 15083, 756, 872, 18136, 479, 248, 5156, 3310, 5123, 1691, 6259, 5866, 20830, 942, 8504, 16, 5309, 14, 8118, 457, 1464, 16, 14, 33264, 2371, 286, 1956, 282, 23430, 2075, 436, 10313, 328, 4475, 7338, 3348, 2152, 2610, 276, 2591, 3196, 254, 13415, 13620, 6564, 1648, 369, 1795, 16, 2315, 2057, 479, 4980, 276, 500, 1863, 23906, 5713, 14, 15500, 324, 41364, 14, 1305, 254, 642, 12434, 436, 2306, 19, 53, 45002, 248, 3135, 276, 6384, 3096, 13666, 6082, 1268, 311, 750, 11336, 28, 14204, 188, 16, 276, 14204, 1129, 85, 750, 44, 11186, 4869, 520, 16, 286, 16, 2996, 280, 403, 8185, 86, 16, 41969, 1354, 14087, 254, 414, 286, 16, 5150, 4010, 15510, 16, 3831, 311, 41507, 254, 587, 310, 1408, 248, 3854, 53, 5374, 35, 7512, 286, 417, 276, 11939, 2072, 9120, 188, 618, 4479, 2318, 248, 22388, 2109, 282, 2449, 510, 19608, 6054, 447, 369, 16, 5457, 387, 286, 3970, 2640, 324, 327, 16, 946, 310, 79, 452, 1460, 1012, 254, 1495, 254, 8517, 282, 345, 14, 348, 1916, 11994, 13531, 14, 11392, 43, 5192, 2764, 17035, 939, 5574, 188, 188, 16, 38928, 86, 4337, 3351, 19049, 343, 14, 441, 26532, 16, 835, 5427, 254, 16, 669, 11439, 20201, 3542, 3233, 6494, 14, 750, 1449, 254, 14, 310, 79, 276, 248, 15, 188, 188, 43, 670, 5884, 1806, 2115, 7673, 1176, 272, 11479, 14, 22388, 9185, 3609, 9185, 16, 254, 731, 254, 1364, 297, 188, 2610, 44860, 1427, 276, 872, 6324, 21433, 23430, 324, 5866, 85, 1767, 31637, 254, 580, 310, 25419, 8185, 10967, 5384, 274, 3996, 4954, 869, 18, 1842, 1460, 338, 9185, 46705, 457, 43, 1090, 750, 758, 314, 22388, 8069, 872, 1495, 286, 3802, 713, 345, 16, 311, 254, 38187, 8995, 2244, 3026, 1157, 8111, 2421, 16, 3402, 274, 6693, 282, 14204, 254, 2964, 3470, 274, 248, 4167, 18, 13519, 248, 452, 520, 11, 4524, 3510, 6649, 479, 12691, 16, 16, 16, 532, 520, 14, 17891, 16, 286, 597, 188, 31637, 38187, 282, 10501, 1564, 276, 14, 254, 310, 1081, 7674, 1321, 713, 12534, 286, 248, 311, 324, 11071, 2263, 1651, 360, 282, 7528, 282, 345, 260, 274, 2610, 282, 328, 12531, 43, 8707, 4633, 1364, 276, 529, 276, 1603, 311, 763, 665, 1321, 8807, 282, 3290, 38187, 254, 5534, 16, 587, 12915, 775, 286, 6975, 37927, 286, 16, 1464, 758, 3282, 10040, 44176, 668, 4877, 18, 2059, 38108, 85, 16290, 23377, 6317, 457, 2489, 3800, 276, 457, 447, 43, 254, 26122, 254, 472, 254, 274, 9185, 13927, 14, 254, 16, 16, 743, 8662, 254, 282, 3002, 274, 248, 310, 500, 695, 14388, 3250, 2142, 17891, 16, 12093, 43479, 520, 254, 17985, 4442, 286, 6971, 11839, 1245, 7434, 321, 14, 9375, 311, 3063, 380, 348, 248, 4168, 20830, 16, 16, 382, 3116, 4566, 500, 1268, 4163, 16, 512, 21, 963, 731, 683, 43728, 310, 321, 272, 3285, 457, 19454, 3248, 5150, 16, 7663, 1063, 79, 14, 332, 18489, 13415, 3609, 852, 286, 310, 436, 1689, 254, 23377, 254, 14204, 16, 1615, 529, 14, 5925, 310, 520, 248, 324, 4747, 254, 2378, 7686, 2836, 763, 1521, 619, 3310, 8856, 500, 9185, 3510, 14, 2378, 3285, 628, 16, 324, 16, 775, 5741, 6079, 276, 14, 4343, 457, 23620, 24700, 24151, 343, 23, 5256, 1525, 327, 324, 1225, 14, 1648, 479, 12148, 9015, 348, 5833, 248, 248, 2186, 43, 4128, 44, 254, 457, 944, 19104, 286, 500, 1110, 2836 ]
[ 1, 386, 26618, 5556, 9570, 497, 36665, 44163, 254, 327, 22929, 289, 3761, 1735, 14, 401, 374, 576, 286, 25398, 274, 695, 1044, 21, 331, 254, 10887, 3567, 10269, 14, 10784, 409, 476, 16, 274, 16409, 3630, 1725, 1525, 19, 14, 4715, 321, 3760, 21, 369, 86, 28895, 20, 5578, 6988, 9651, 607, 3930, 16, 811, 5083, 1822, 330, 37, 669, 26679, 9570, 39855, 4153, 20, 248, 6569, 4805, 14, 32733, 2332, 254, 21, 1873, 1225, 783, 3630, 432, 276, 24, 6825, 264, 6219, 41, 15, 314, 6117, 497, 481, 8337, 6768, 367, 5083, 14, 411, 81, 1702, 34014, 16, 40, 348, 343, 931, 248, 1530, 331, 353, 6195, 5445, 38379, 4950, 38379, 4058, 34848, 274, 14, 1044, 6714, 15, 10403, 360, 386, 30622, 20123, 324, 529, 1822, 276, 331, 327, 20, 1385, 14, 338, 3630, 314, 1848, 432, 6640, 9696, 13610, 276, 2688, 19, 7378, 8512, 59, 282, 39361, 86, 7094, 29967, 314, 26234, 15, 50, 30000, 37628, 14, 16180, 666, 14, 53, 25398, 30710, 3125, 28253, 5773, 8764, 19, 5083, 31187, 889, 314, 32776, 19, 1512, 289, 59, 52, 65, 314, 330, 1063, 276, 6724, 1961, 18091, 875, 14, 38316, 13058, 254, 17455, 276, 666, 40992, 331, 497, 666, 931, 37628, 573, 1348, 264, 4805, 30622, 4953, 35717, 6347, 6768, 338, 1910, 13, 2840, 16782, 314, 10447, 254, 1361, 22046, 15, 34595, 432, 37774, 3930, 286, 367, 1031, 31187, 9651, 390, 3818, 16232, 875, 276, 50, 8264, 1476, 29135, 16, 15, 9570, 12982, 38996, 14, 28001, 407, 15, 573, 30622, 1635, 26, 481, 939, 2363, 20, 286, 497, 432, 13170, 14, 898, 10061, 27, 432, 274, 4967, 282, 286, 5556, 276, 6768, 2103, 3971, 15151, 26, 643, 643, 25874, 282, 6219, 387, 15028, 22, 27, 2752, 20, 276, 16, 3836, 37628, 13975, 4921, 47248, 250, 7328, 36323, 324, 387, 7094, 7368, 15, 23, 643, 331, 16, 16, 2720, 576, 2035, 20, 21070, 327, 643, 2228, 8486, 23, 6462, 41, 32328, 12982, 26, 4061, 6966, 21896, 286, 9651, 367, 254, 1756, 343, 25, 386, 5726, 19, 272, 14, 14, 18093, 23, 348, 29709, 417, 20, 50, 3125, 38379, 17097, 16180, 15, 20, 4969, 532, 3930, 367, 15151, 331, 59, 1057, 286, 5747, 27, 1495, 22273, 15, 20, 1051, 36, 481, 3818, 276, 53, 348, 15, 10420, 576, 12492, 38316, 14, 9651, 9574, 3630, 23431, 9696, 16, 286, 3093, 348, 14, 20, 9651, 338, 20, 15, 374, 254, 1508, 12023, 14, 369, 22273, 1756, 264, 659, 286, 3756, 20, 369, 7572, 6714, 14, 1058, 875, 32776, 18, 497, 274, 23686, 39361, 15, 6031, 27929, 271, 5827, 276, 19, 2939, 432, 11229, 15, 17, 14, 2193, 38379, 37, 314, 839, 330, 19, 33070, 10037, 1041, 21463, 15198, 15770, 30111, 286, 7800, 20, 25, 1848, 16782, 3661, 274, 22, 286, 20207, 597, 21, 1275, 20, 5047, 18312, 28333, 10196, 21, 387, 15, 274, 875, 348, 10953, 481, 495, 16, 20016, 19, 16, 15, 16, 83, 1240, 9979, 19, 627, 7318, 254, 31742, 14, 374, 4580, 16, 314, 65, 188, 15, 374, 8764, 9570, 1621, 9918, 12023, 20, 481, 2932, 416, 5796, 3066, 10075, 309, 13663, 14, 11, 5578, 2856, 12098, 19129, 428, 3367, 254, 20207, 59, 14, 457, 286, 19, 59, 274, 20412, 3930, 18596, 32986, 12098, 9570, 20, 481, 26, 6462, 3630, 481, 5362, 4558, 1326, 6117, 254, 1735, 5486, 16, 24344, 25, 300, 21229, 18093, 27, 16, 3859, 20123, 23166, 20, 338, 24682, 28895, 254, 1102, 286, 20, 18777, 254, 367, 330, 14, 3908, 15, 15, 274, 407, 14, 3630, 1961, 23269, 432, 19, 1370, 1385, 1011, 19, 330, 9106, 254, 68, 13284, 3756, 17846, 2856, 67, 1726, 14, 2730, 20412, 3818, 17846, 5479, 432, 14, 25, 1317, 22, 597, 504, 481, 4805, 16, 14, 30360, 17522, 939, 6408, 369, 30327, 21, 3661, 8459, 343, 1142, 14441, 3366, 77, 954, 36595, 4652, 86, 16, 331, 1142, 23, 666, 37021, 31187, 6408, 605, 44798, 10501, 1993, 6684, 19, 463, 286, 4448, 463, 2317, 315, 374, 3930, 3756, 14, 272, 12916, 4580, 576, 26, 4655, 4426, 327, 22735, 8162, 274, 8459, 3930, 254, 331, 254, 331, 398, 274, 3756, 12739, 15, 5320, 836, 9570, 962, 1644, 3930, 14, 14, 16, 369, 374, 27, 11325, 22, 274, 481, 407, 282, 276, 53, 20, 1081, 418, 7283, 813, 20, 18, 20412, 939, 1139, 20, 286, 4413, 31337, 7292, 20, 33347, 2292, 3661, 11922, 3383, 14585, 8496, 8512, 69, 15151, 28785, 3338, 2363, 3427, 288, 6088, 38316, 369, 655, 30111, 288, 367, 10835, 14086, 21, 367, 59, 27628, 254, 20, 50, 14585, 1129, 15, 367, 573, 643, 27, 15, 6762, 9570, 387, 30710, 15119, 432, 270, 5578, 432, 4800, 42, 27, 331, 366, 9167, 1317, 16, 314, 4031, 1993, 11, 20, 30327, 10123, 532, 20123, 27929, 331, 15, 16, 4921, 1140, 274, 11, 324, 14, 25823, 10044, 21874, 5967, 248, 20, 331, 15, 9930, 41281, 286, 975, 5877, 19, 34595, 7934, 20, 276, 302, 43661, 276, 22717, 16, 15, 11946, 11, 5070, 1733, 2955, 314, 18093, 954, 19, 7167, 20, 3614, 38316, 666, 14722, 286, 573, 3808, 390, 367, 21, 330, 3930, 6966, 26388, 21, 254, 32015, 5043, 3212, 2229, 20, 291, 286, 21896, 18, 20123, 3488, 369, 3756, 286, 14, 15, 14, 9000, 19, 1621, 42, 27, 322, 369, 45, 30622, 15723, 367, 330, 12559, 1139, 38379, 73, 10562, 14, 4921, 40, 721, 47354, 1621, 338, 7389, 390, 18835, 20, 44838, 67, 9651, 44139, 5795, 481, 30710, 374, 40492, 21, 254, 250, 11, 9145, 276, 6757, 348, 26, 20, 813, 387, 3511, 457, 278, 369, 314, 19, 286, 314, 40309, 19, 15, 3930, 12098, 10401, 16, 481, 4953, 71, 14, 10887, 10415, 327, 276, 495, 605, 7206, 5083, 7094, 24558, 15335, 605, 24, 401, 59, 248, 20, 22, 2688, 3511, 576, 1725, 14, 20, 20, 21, 30710, 44163, 43, 19, 268, 19, 1795, 8459, 17, 643, 4892, 573, 17491, 22, 3367, 15, 432, 10784, 573, 19, 314, 274, 21, 59, 14585, 74, 21183, 457, 39545, 666, 470, 3808, 960, 15, 16827, 17350, 14, 6768, 2688, 576, 1448, 14353, 16, 14722, 6195, 36060, 367, 286, 11922, 19, 390, 15, 32986, 314, 314, 10887, 1205, 17, 2479, 11798, 13612, 36665, 1756, 26920, 274, 286, 12739, 14, 25, 276, 286, 286 ]
[ 1, 4926, 16094, 5064, 16, 297, 330, 4926, 39569, 1041, 5064, 804, 2678, 324, 647, 3064, 647, 13599, 14, 44444, 30477, 593, 31, 328, 1308, 18002, 347, 65, 1534, 46177, 65, 16, 31311, 587, 347, 872, 3513, 13244, 3125, 276, 1465, 9351, 804, 5146, 6185, 16, 16, 16, 17389, 1196, 254, 5735, 593, 647, 9763, 1142, 551, 10337, 13599, 9236, 1076, 14, 329, 647, 11, 360, 1142, 254, 16094, 286, 65, 6185, 21463, 5704, 10, 1003, 2706, 14200, 1581, 282, 2621, 23233, 1384, 16, 16, 1800, 5051, 17, 12761, 784, 10138, 65, 16, 779, 20269, 2678, 23064, 4862, 1014, 647, 1262, 16, 39569, 1827, 31, 19, 16, 16, 784, 327, 1534, 39569, 1004, 1076, 19, 88, 21463, 39569, 29842, 360, 14, 65, 19, 13599, 16, 6505, 1003, 5735, 1800, 6895, 5735, 23233, 65, 2707, 14590, 10112, 324, 709, 5037, 21463, 4667, 647, 1196, 7837, 9120, 587, 11, 14, 1465, 254, 1800, 23179, 1800, 6643, 9147, 14590, 330, 551, 65, 1296, 5064, 2497, 13599, 15798, 3226, 23233, 687, 8641, 39569, 46177, 9120, 330, 24167, 926, 926, 1827, 14, 254, 1827, 2621, 494, 416, 39569, 1296, 329, 16, 9147, 328, 687, 276, 46177, 88, 2662, 328, 23450, 65, 1142, 88, 2312, 28, 4024, 324, 16, 1800, 46177, 10, 414, 15798, 1041, 16, 593, 16, 647, 1869, 88, 63, 3308, 65, 5037, 46587, 18310, 10337, 16, 5735, 302, 5305, 647, 6271, 28, 16, 254, 8897, 4090, 9644, 14590, 39569, 8552, 328, 587, 1142, 24167, 1077, 5064, 8742, 647, 1869, 16, 61, 10453, 10453, 4622, 1800, 34935, 647, 926, 3357, 403, 5845, 5051, 1003, 391, 551, 9236, 926, 6643, 16, 248, 16, 477, 24946, 647, 14200, 811, 647, 31, 15302, 14, 647, 1827, 9120, 15, 6185, 16, 306, 31, 14, 647, 7260, 647, 42588, 687, 28, 38539, 248, 1827, 311, 65, 248, 40654, 15525, 3226, 39569, 10453, 35436, 1296, 647, 5868, 1196, 9236, 31, 11916, 735, 254, 9147, 14590, 88, 804, 1477, 254, 1358, 8626, 5911, 16, 16, 7888, 6643, 751, 2312, 1081, 3718, 14, 13819, 11916, 784, 926, 39569, 15, 1041, 811, 16, 1286, 15, 24982, 477, 13845, 647, 286, 18002, 39569, 872, 16, 297, 1635, 10, 7023, 10453, 9, 494, 88, 5911, 5051, 2306, 6643, 3226, 16, 2662, 391, 1003, 1262, 804, 3226, 11916, 2374, 16, 1014, 2498, 8552, 28, 11, 2678, 61, 10112, 926, 426, 39569, 5051, 324, 513, 3125, 6758, 16, 1052, 19, 1034, 65, 926, 31, 11, 11916, 647, 28, 10, 16, 65, 29842, 15, 3513, 28, 2312, 254, 16, 1586, 254, 684, 306, 16, 13819, 6767, 16, 18002, 533, 39569, 926, 14, 16, 5868, 24946, 5561, 1077, 1077, 20269, 16, 306, 2918, 65, 647, 5868, 65, 16, 779, 16, 16, 2662, 10898, 314, 16, 551, 670, 5704, 2602, 16, 5735, 684, 19940, 1003, 533, 9147, 537, 5911, 9351, 872, 10, 6643, 15525, 587, 2621, 65, 10112, 1375, 282, 65, 1052, 14, 14, 23064, 811, 2678, 926, 254, 19940, 1800, 19, 1142, 14, 16, 10, 10712, 14, 16, 306, 14590, 926, 24576, 8897, 17, 647, 16, 16, 2621, 5868, 46177, 16, 670, 16, 4897, 16094, 248, 8897, 31, 282, 709, 282, 6767, 647, 13244, 1827, 1052, 16, 329, 1076, 647, 658, 4911, 15798, 23233, 254, 1003, 649, 248, 40654, 4540, 23179, 16, 16, 1076, 2662, 65, 16, 2497, 23233, 8552, 477, 23233, 2306, 9236, 743, 6643, 1196, 804, 647, 16, 306, 16, 1477, 5114, 14, 248, 6185, 8037, 1196, 1296, 65, 580, 46587, 14, 670, 16, 10712, 65, 1003, 2602, 17373, 9644, 1827, 1213, 417, 65, 14485, 39569, 24167, 65, 29842, 13324, 39569, 494, 11916, 3226, 16, 1800, 16, 9, 5911, 14590, 926, 65, 3513, 9236, 282, 18731, 16, 6643, 65, 16, 24167, 7260, 276, 1003, 436, 16, 286, 2621, 16094, 647, 16, 5146, 14, 403, 3226, 494, 254, 15, 6895, 543, 248, 24982, 10453, 4911, 926, 16, 254, 65, 1052, 23179, 4145, 28, 6758, 494, 1052, 426, 3125, 414, 31, 903, 926, 2102, 1003, 16, 13599, 10898, 16094, 28918, 1827, 4622, 3039, 14590, 16, 926, 4852, 2706, 36062, 647, 13324, 4794, 926, 709, 8742, 11916, 4, 477, 254, 39569, 248, 647, 65, 24167, 328, 1800, 297, 9644, 5343, 19940, 16, 10337, 4145, 23179, 47225, 15302, 16, 4024, 4897, 6643, 65, 65, 65, 432, 10453, 1003, 1800, 23179, 6185, 286, 16, 1800, 1077, 18002, 426, 28, 65, 1827, 2621, 276, 2861, 5674, 26121, 647, 587, 15302, 416, 47225, 347, 306, 3226, 494, 2706, 751, 302, 261, 16, 1057, 1076, 6895, 14, 3226, 537, 5051, 477, 649, 649, 1465, 19, 543, 926, 926, 568, 5735, 11916, 39684, 1052, 494, 1827, 3357, 65, 1308, 360, 6895, 9644, 16, 11916, 28, 61, 254, 1827, 31311, 647, 647, 29842, 14590, 14, 647, 17373, 327, 13324, 537, 1477, 297, 543, 28, 735, 8897, 31, 6758, 1262, 28, 15, 28, 494, 1800, 276, 65, 15525, 3513, 65, 417, 926, 8897, 65, 1077, 1869, 29, 39569, 5114, 926, 46177, 4, 1262, 43720, 1077, 10337, 5735, 1740, 1827, 1534, 4862, 16, 417, 254, 324, 2602, 926, 647, 46177, 414, 16, 11, 248, 1465, 391, 1581, 3357, 276, 14485, 9120, 324, 647, 2621, 15302, 14, 647, 6185, 2779, 16, 24092, 40654, 568, 1800, 1358, 9147, 16, 282, 926, 5114, 14, 926, 16, 15695, 16, 603, 46587, 18731, 8552, 6767, 4862, 254, 88, 328, 39569, 3226, 452, 14, 3930, 9120, 27475, 254, 18002, 494, 3226, 297, 16, 4667, 16, 543, 735, 24946, 16, 416, 603, 647, 826, 42588, 21171, 647, 5735, 13324, 18310, 16, 4926, 65, 10, 1003, 3039, 31, 297, 297, 248, 10453, 533, 3039, 13324, 24946, 16, 10453, 282, 360, 5704, 2312, 65, 587, 3125, 11244, 2621, 19, 647, 21171, 31311, 432, 9120, 65, 926, 1296, 297, 328, 2621, 1322, 1003, 6767, 1262, 2621, 4862, 28, 14590, 543, 39569, 4, 603, 65, 5114, 5064, 1465, 743, 603, 1004, 6938, 10, 329, 254, 9644, 1003, 254, 5064, 543, 21162, 61, 248, 16069, 39569, 9644, 15, 779, 647, 1308, 16, 16, 5704, 1003, 306, 371, 543, 39569, 39569, 327, 1142, 65, 15525, 10898, 9236, 1076, 1296, 88, 14, 65, 926, 10, 1827, 24167, 533, 2498, 29842, 735, 13599, 330, 13324, 16, 647, 297, 254, 19, 10138, 418, 65, 4897, 11291, 1800, 18002, 38539, 10337, 4911, 2662, 14200, 926, 647, 2498, 649, 4622, 1748 ]
[ 1, 321, 3997, 650, 274, 7803, 311, 731, 2996, 668, 188, 942, 19068, 286, 360, 1045, 254, 369, 2142, 34288, 563, 254, 596, 6158, 5245, 457, 282, 16, 1038, 974, 1193, 555, 310, 2778, 961, 286, 3320, 2512, 360, 939, 513, 311, 286, 348, 2731, 14, 14, 286, 4333, 14, 353, 19419, 1917, 626, 14, 6158, 19068, 2292, 811, 457, 14, 1180, 16, 3144, 3116, 7385, 2430, 457, 1449, 86, 368, 248, 1026, 457, 4128, 79, 321, 975, 513, 369, 593, 14, 731, 2524, 1180, 2778, 14, 457, 327, 188, 1728, 311, 254, 961, 25288, 417, 942, 942, 4254, 254, 248, 85, 15476, 1242, 1242, 8228, 85, 977, 254, 353, 40474, 330, 79, 188, 248, 452, 2254, 254, 12895, 36270, 311, 274, 2086, 3621, 310, 452, 3364, 452, 310, 14, 1219, 311, 16, 248, 2631, 4619, 16, 16, 626, 1838, 633, 461, 254, 1091, 452, 311, 310, 33708, 626, 380, 85, 457, 86, 3979, 1964, 701, 436, 16, 961, 310, 4017, 353, 12775, 11362, 188, 254, 457, 1253, 353, 282, 16, 974, 369, 1110, 45459, 254, 1525, 4619, 254, 959, 939, 1652, 6902, 282, 16, 1015, 512, 248, 282, 282, 311, 360, 254, 3082, 561, 2148, 942, 3148, 360, 1663, 85, 1663, 282, 15840, 1336, 9282, 272, 8661, 555, 254, 14, 10113, 403, 731, 1012, 8686, 276, 2350, 1015, 15, 4980, 441, 16, 1848, 441, 1594, 1862, 282, 6231, 248, 2187, 4181, 16, 1062, 942, 9572, 248, 3487, 403, 28158, 327, 282, 889, 274, 872, 1241, 452, 311, 286, 1057, 14, 2515, 3854, 532, 1838, 729, 11362, 16, 2903, 1125, 321, 841, 457, 42444, 286, 441, 16, 8926, 2187, 1303, 286, 403, 188, 11068, 1707, 1547, 436, 254, 8290, 8290, 555, 942, 1002, 1368, 276, 286, 254, 47396, 23862, 274, 593, 596, 512, 353, 626, 939, 85, 248, 532, 452, 324, 5511, 555, 22360, 670, 274, 417, 2110, 731, 254, 1042, 3997, 3683, 1837, 85, 1594, 4128, 327, 7794, 417, 3103, 248, 5846, 311, 254, 327, 276, 3520, 33, 457, 286, 5374, 532, 811, 3477, 580, 7538, 254, 6400, 1438, 254, 14, 14, 28515, 387, 6902, 5441, 974, 16, 6321, 1649, 286, 939, 353, 7406, 587, 6395, 811, 3854, 1129, 248, 1074, 286, 1223, 961, 14, 2187, 839, 254, 14, 980, 14, 286, 368, 310, 16, 14, 785, 14, 3686, 368, 286, 436, 2433, 353, 15, 282, 3487, 3238, 188, 274, 321, 16, 311, 274, 254, 18823, 14, 12895, 580, 254, 360, 16, 282, 6158, 843, 8321, 16, 748, 14, 3444, 248, 15948, 14, 8838, 353, 353, 24174, 14, 1045, 276, 330, 555, 248, 282, 15286, 8075, 1863, 1002, 2830, 360, 2144, 9999, 670, 5245, 16, 16, 9887, 701, 731, 593, 3015, 254, 282, 915, 32864, 729, 1438, 28300, 785, 23269, 580, 353, 942, 14, 20184, 282, 282, 328, 456, 19371, 16, 942, 942, 8234, 403, 282, 510, 1181, 1269, 835, 188, 457, 19371, 16, 1141, 328, 748, 85, 5245, 16, 457, 282, 188, 1090, 321, 2560, 865, 85, 1038, 865, 1525, 86, 1110, 254, 16, 274, 387, 19419, 254, 1438, 14, 254, 14, 457, 16, 2275, 961, 307, 16, 1602, 1181, 1242, 1242, 3148, 6321, 343, 772, 1525, 324, 5077, 368, 248, 701, 86, 1652, 13471, 14, 942, 974, 19058, 15286, 254, 327, 254, 1041, 16, 1002, 2066, 3015, 8926, 14, 1491, 497, 353, 942, 2780, 587, 7052, 596, 457, 19058, 16, 593, 254, 282, 353, 14, 254, 1610, 785, 3929, 24146, 21890, 898, 900, 274, 254, 4389, 324, 457, 1845, 4357, 2365, 327, 457, 85, 248, 29407, 961, 476, 457, 254, 1223, 1860, 561, 596, 5245, 14, 286, 4684, 16, 403, 32864, 14847, 327, 513, 14, 1827, 254, 286, 1438, 12895, 643, 282, 274, 16, 85, 4536, 274, 802, 7573, 369, 2041, 282, 597, 16, 16, 317, 85, 1002, 254, 9887, 16, 16, 324, 2778, 14, 417, 2086, 6384, 274, 3148, 41414, 380, 476, 282, 380, 2489, 2956, 6437, 14, 276, 747, 14, 731, 311, 16, 251, 801, 457, 19506, 403, 254, 16, 14, 248, 6321, 16, 1002, 254, 286, 85, 380, 324, 731, 942, 476, 4719, 4950, 6321, 1547, 254, 16, 286, 321, 369, 16, 980, 772, 836, 16, 14, 701, 14, 327, 836, 596, 353, 436, 6321, 276, 2362, 9537, 2187, 310, 670, 2903, 274, 254, 368, 33, 86, 2142, 580, 2115, 85, 327, 324, 2144, 749, 353, 3144, 311, 596, 1364, 1129, 14, 327, 2778, 30045, 254, 286, 19371, 4772, 496, 457, 2956, 338, 2430, 16, 327, 16, 188, 20017, 2896, 2292, 19897, 13079, 14, 2430, 3320, 327, 9598, 16, 26, 368, 16, 12895, 14, 321, 360, 3461, 254, 16, 7767, 1223, 254, 1125, 11530, 6582, 4428, 327, 826, 85, 872, 32864, 19371, 4715, 12895, 671, 6788, 16, 1575, 1038, 1051, 274, 626, 16, 25154, 33, 1213, 282, 1268, 1499, 3997, 311, 663, 310, 3997, 324, 436, 457, 282, 2187, 328, 16, 3992, 86, 14, 14, 286, 16, 7803, 7067, 1438, 16025, 188, 830, 16, 274, 2142, 457, 2537, 310, 563, 16, 1480, 17591, 276, 282, 1330, 10910, 353, 14, 29, 286, 407, 9136, 839, 1045, 380, 2292, 5182, 4634, 254, 47725, 282, 286, 7716, 731, 348, 16, 188, 4867, 369, 1052, 1052, 327, 327, 4524, 618, 1525, 309, 2489, 16, 10056, 310, 1193, 403, 16, 248, 457, 36075, 2115, 380, 3915, 11648, 353, 3673, 254, 14, 27852, 394, 44129, 311, 286, 801, 1311, 457, 900, 282, 17934, 12775, 2470, 353, 286, 321, 889, 1012, 643, 369, 188, 1026, 327, 248, 16, 8644, 563, 14, 1460, 2367, 254, 14, 1619, 23947, 2003, 254, 3669, 3444, 4254, 980, 368, 44342, 16, 44129, 19706, 14, 1838, 26037, 251, 369, 16, 254, 974, 835, 3748, 188, 8054, 512, 286, 274, 513, 327, 14, 26037, 274, 16, 5245, 282, 1354, 403, 307, 19897, 596, 6400, 22240, 311, 286, 6707, 14, 1838, 16, 5846, 497, 324, 1057, 26935, 7602, 353, 368, 37130, 327, 731, 1232, 390, 473, 14, 4832, 324, 731, 2144, 3364, 343, 6158, 2292, 1212, 286, 865, 457, 1480, 457, 2292, 286, 368, 16, 513, 4536, 274, 2903, 3487, 417, 457, 272, 663, 254, 5023, 380, 282, 3997, 1289, 353, 14, 286, 282, 7858, 24466, 2365, 731, 282, 633, 327, 16, 353, 254, 1212, 14, 1663, 274, 1015, 729, 15411, 512, 282 ]
[ 1, 16, 1733, 254, 2151, 248, 452, 3032, 5952, 618, 3437, 369, 3095, 276, 31166, 22015, 2254, 5555, 4059, 254, 15, 479, 254, 274, 1041, 11549, 286, 7290, 457, 276, 254, 1810, 747, 282, 330, 8476, 43601, 254, 6220, 4406, 248, 13204, 286, 4801, 276, 22, 79, 19, 740, 282, 14917, 2710, 1143, 2151, 2143, 1074, 1219, 282, 286, 31774, 254, 67, 14, 269, 675, 79, 85, 369, 542, 19371, 274, 457, 2813, 27, 387, 5759, 23, 441, 85, 2379, 4800, 16, 254, 286, 1770, 16, 610, 15, 948, 6247, 254, 3928, 1096, 407, 353, 2482, 14, 353, 16, 6950, 254, 276, 561, 6333, 436, 35341, 353, 16, 254, 0, 311, 16405, 405, 7373, 1919, 671, 343, 321, 1325, 248, 276, 555, 1057, 16228, 1649, 9362, 37144, 343, 9012, 5630, 14, 313, 3080, 299, 1480, 7998, 282, 14, 18, 282, 8487, 12832, 2674, 22623, 274, 5696, 16, 479, 369, 436, 2514, 2066, 321, 188, 41177, 254, 14, 23916, 16, 254, 254, 16, 321, 7809, 1679, 403, 7650, 2254, 254, 254, 1034, 254, 274, 1232, 1683, 11864, 1431, 188, 8244, 310, 14, 995, 353, 1012, 30639, 282, 254, 89, 15112, 3419, 6297, 43, 4948, 1789, 29352, 254, 14, 5226, 7809, 457, 0, 1026, 642, 343, 1480, 14326, 254, 310, 440, 3061, 3148, 683, 16, 310, 188, 1612, 555, 276, 310, 4243, 15, 2135, 39973, 743, 368, 23900, 701, 3996, 16, 254, 457, 888, 19, 1295, 378, 695, 248, 4647, 7196, 615, 457, 2899, 3108, 254, 25, 1275, 16358, 6284, 45127, 7199, 16, 38631, 4525, 46094, 8075, 2659, 668, 11727, 9380, 618, 731, 17813, 16, 9970, 1074, 14, 2886, 14, 14, 310, 14, 407, 1091, 16, 1664, 16, 1311, 31525, 2057, 457, 9679, 1845, 4848, 79, 343, 395, 457, 4264, 5008, 16, 324, 43690, 1038, 254, 263, 16, 16, 10110, 15, 6215, 71, 14, 14, 8906, 282, 618, 4183, 286, 254, 7944, 4130, 282, 4257, 1612, 713, 1045, 315, 18, 14, 8902, 417, 2499, 6249, 1181, 311, 12678, 10504, 40163, 274, 3901, 14, 353, 21226, 6750, 15, 8057, 1015, 9329, 353, 683, 79, 33695, 9208, 276, 819, 3385, 14, 3609, 1431, 16, 6158, 17352, 16, 4536, 25, 328, 85, 841, 314, 16, 1542, 286, 14, 19, 731, 39156, 387, 248, 609, 512, 353, 254, 4221, 276, 731, 3447, 1143, 248, 457, 2422, 378, 1628, 1311, 811, 2836, 282, 3748, 3524, 248, 751, 31686, 1045, 1583, 1223, 274, 18, 2116, 2978, 14, 9703, 29041, 16, 1824, 85, 900, 5268, 12678, 29469, 15779, 254, 3859, 24245, 1339, 369, 457, 2482, 479, 825, 1153, 5270, 1096, 16, 2939, 16, 18, 1153, 6346, 327, 6388, 643, 25516, 1045, 25247, 188, 297, 254, 41227, 9119, 310, 33743, 27868, 9228, 374, 16, 27639, 282, 610, 14, 11839, 2086, 22782, 2449, 254, 2378, 440, 479, 286, 14, 618, 314, 561, 286, 18, 7438, 1288, 2688, 286, 457, 731, 43, 396, 311, 306, 374, 254, 282, 35141, 32120, 1587, 18415, 274, 23018, 16, 4654, 2421, 14, 2156, 368, 457, 13204, 6149, 286, 282, 274, 45, 4164, 1926, 1606, 457, 9948, 310, 265, 403, 313, 310, 374, 353, 9679, 327, 1091, 328, 282, 457, 353, 865, 2154, 328, 24015, 274, 1223, 14, 721, 12010, 8341, 10629, 457, 510, 545, 1583, 747, 616, 618, 4095, 1619, 3306, 593, 18, 8235, 13353, 16, 387, 87, 25, 368, 476, 16405, 311, 1234, 1926, 13220, 16090, 561, 254, 43, 14, 1045, 1268, 7162, 1845, 254, 619, 28, 1034, 32166, 8202, 37719, 14, 274, 315, 5372, 939, 5519, 4316, 47303, 1012, 19625, 310, 1055, 24479, 31672, 272, 841, 14, 21550, 2019, 16, 278, 14, 273, 3364, 457, 348, 5555, 248, 254, 276, 14, 391, 835, 354, 254, 276, 2154, 16, 324, 188, 42692, 10837, 14, 14, 1141, 310, 533, 811, 353, 2057, 327, 1275, 1931, 248, 274, 336, 14, 555, 18, 1603, 349, 85, 24245, 16, 310, 348, 286, 11, 16209, 85, 731, 731, 248, 86, 6136, 22, 85, 282, 2101, 16, 10837, 30772, 11515, 16, 596, 618, 2977, 5634, 274, 286, 274, 310, 1844, 18, 387, 254, 39286, 85, 1130, 1034, 311, 407, 1577, 14, 310, 2244, 17336, 67, 474, 14, 670, 6950, 26800, 1004, 353, 314, 2033, 3126, 532, 6240, 2897, 3486, 4948, 311, 1076, 432, 188, 615, 457, 92, 8726, 1093, 2977, 580, 22, 1499, 286, 368, 390, 33828, 616, 302, 254, 758, 403, 11231, 581, 324, 9809, 751, 282, 1668, 286, 282, 948, 14, 1842, 10837, 16, 5008, 34772, 1012, 42367, 16, 254, 272, 13289, 16427, 869, 310, 274, 2964, 2019, 2034, 5602, 14, 618, 1480, 14, 457, 2104, 1093, 312, 387, 1045, 15, 2421, 276, 374, 618, 6950, 86, 14, 86, 307, 403, 343, 9263, 327, 14898, 4319, 26800, 1205, 188, 276, 276, 8956, 457, 16, 282, 7838, 892, 46094, 16, 16, 13327, 3654, 4199, 607, 1628, 14, 10802, 188, 43, 10136, 3061, 1619, 6636, 573, 14, 11231, 16, 22623, 747, 14, 593, 1364, 618, 6681, 417, 33727, 37868, 6893, 274, 593, 85, 311, 12221, 343, 1045, 254, 890, 42063, 5816, 327, 3324, 348, 251, 368, 353, 3306, 387, 361, 3447, 276, 14, 5816, 14, 27868, 603, 555, 37746, 14, 30211, 939, 44078, 12261, 254, 17177, 811, 248, 596, 254, 328, 4771, 299, 440, 14738, 307, 3447, 5869, 43, 327, 16, 27587, 5910, 34155, 282, 2344, 2314, 12660, 18, 457, 1542, 963, 5565, 742, 1623, 15426, 282, 188, 67, 274, 457, 813, 2417, 407, 3059, 3960, 2819, 248, 254, 1837, 29, 7968, 10413, 3654, 15, 670, 751, 1480, 348, 4128, 369, 1295, 3471, 8340, 276, 4948, 616, 3396, 286, 188, 480, 1770, 274, 286, 618, 3015, 15107, 327, 276, 17703, 30766, 939, 6956, 1444, 248, 6529, 5372, 670, 479, 254, 5986, 4212, 11318, 14122, 286, 713, 79, 2421, 16, 188, 324, 254, 188, 13453, 633, 311, 16, 29557, 276, 457, 7081, 4948, 9334, 1254, 7046, 6898, 11673, 29584, 286, 19, 330, 89, 1926, 10964, 626, 14, 2358, 285, 28, 1906, 2514, 18, 14, 8352, 456, 85, 387, 610, 440, 643, 1012, 4647, 5274, 313, 390, 16, 46448, 16, 8392, 67, 254, 274, 1683, 278, 254, 2196, 1888, 387, 282, 1637, 2102, 2421, 374, 14, 91, 1408, 4448, 4083, 11980, 597, 561, 751, 274, 85, 1659, 16, 3527, 1377, 24683, 274, 311, 248, 14, 328, 37317 ]
[ 1, 2545, 254, 338, 9319, 35, 18, 188, 9130, 254, 403, 481, 4742, 314, 18, 41665, 1350, 3364, 321, 407, 668, 555, 22, 14982, 27708, 85, 772, 495, 416, 980, 286, 403, 44400, 248, 6219, 5371, 0, 14, 16, 20960, 3300, 10046, 20385, 3944, 4301, 457, 1982, 3571, 274, 3944, 2363, 2932, 1054, 607, 1280, 22679, 6115, 10046, 19, 286, 9155, 23, 1368, 7725, 931, 274, 282, 248, 18397, 19, 939, 18, 254, 18, 16, 254, 2049, 931, 16, 24, 34967, 19, 1488, 35, 16, 1336, 7526, 19, 624, 254, 368, 20422, 274, 772, 4917, 476, 41445, 10046, 16, 15, 188, 510, 423, 555, 2121, 4024, 597, 5798, 19, 248, 19, 4321, 19653, 254, 495, 248, 2932, 16, 48113, 6966, 43517, 34045, 348, 254, 35, 19, 9495, 188, 39, 3482, 34542, 22070, 8141, 324, 671, 3831, 254, 328, 476, 9130, 26808, 476, 510, 4201, 9130, 16, 248, 248, 254, 311, 286, 1051, 4109, 5256, 1637, 8453, 495, 403, 4407, 282, 16, 21, 18, 35221, 903, 2932, 476, 476, 671, 1263, 286, 510, 580, 360, 2133, 5495, 889, 274, 7624, 2802, 668, 35, 314, 713, 633, 282, 18, 14, 2121, 665, 11, 1056, 2476, 642, 254, 9568, 16, 18, 597, 440, 5798, 15, 35221, 282, 254, 5278, 14, 22, 3360, 5703, 18, 1665, 510, 6334, 2932, 2362, 13738, 1017, 248, 7692, 368, 5851, 1460, 16, 15, 11608, 34256, 432, 2779, 8444, 7688, 390, 7877, 580, 3300, 19495, 1111, 13763, 11796, 14, 2142, 11624, 4682, 27, 8141, 18, 23893, 5961, 418, 20, 3605, 17933, 7877, 274, 41445, 3605, 35, 587, 30051, 1640, 368, 3617, 5028, 2024, 188, 17115, 830, 7269, 22, 22, 327, 35, 16, 481, 1575, 38900, 188, 5934, 343, 19974, 432, 668, 46, 6484, 16, 9124, 1822, 33, 975, 20960, 41445, 276, 390, 2802, 254, 15, 41445, 41445, 4589, 3124, 7827, 457, 1525, 254, 4306, 2802, 282, 407, 286, 9495, 272, 5713, 18716, 713, 3066, 21903, 5703, 4116, 286, 41445, 6583, 286, 254, 37920, 324, 23704, 188, 34915, 188, 1464, 22202, 18, 4396, 18094, 27708, 1224, 403, 2982, 432, 4351, 368, 3571, 975, 495, 495, 2066, 1336, 2640, 4021, 671, 452, 4678, 188, 41445, 633, 432, 10743, 7923, 18, 4131, 2703, 495, 328, 12454, 35, 18, 274, 43503, 282, 432, 779, 3944, 343, 2809, 1004, 5597, 35221, 943, 18, 14, 407, 18, 13242, 4884, 3277, 4163, 495, 35221, 407, 16, 85, 1269, 41445, 19, 282, 254, 19753, 282, 314, 3175, 843, 5371, 311, 7, 443, 39185, 248, 8369, 380, 25, 16, 495, 2152, 14, 576, 9130, 374, 19, 324, 4438, 434, 2802, 5542, 276, 27708, 282, 188, 286, 510, 374, 254, 11, 19, 3605, 16, 387, 282, 13306, 19, 470, 11366, 14648, 1656, 10030, 597, 327, 5362, 16, 931, 390, 14, 756, 3801, 274, 286, 1213, 274, 248, 35, 4242, 16, 2932, 276, 21903, 19, 1280, 18, 495, 282, 286, 713, 369, 7877, 7468, 931, 14, 286, 2969, 17923, 7827, 374, 1350, 14, 3816, 5256, 22, 188, 282, 7827, 282, 510, 2932, 5495, 495, 19, 286, 5961, 29, 14, 26407, 2802, 286, 2525, 16, 4024, 7009, 4653, 274, 8979, 15, 11620, 23704, 15, 4987, 1213, 3823, 343, 188, 188, 274, 18, 4861, 13, 7877, 671, 2932, 321, 457, 254, 311, 188, 18716, 9852, 27708, 1491, 18, 274, 2802, 324, 2701, 633, 16046, 324, 4201, 3300, 276, 4021, 11608, 343, 14, 2105, 18916, 18, 16, 2932, 272, 1822, 18, 403, 19502, 18, 1283, 18716, 248, 1822, 2275, 13632, 4893, 960, 2244, 7877, 2932, 19536, 254, 1689, 311, 568, 26, 35130, 13291, 7877, 35, 274, 2809, 2932, 719, 188, 5256, 28150, 16, 457, 5256, 328, 13112, 2165, 4503, 286, 18, 4565, 1102, 15, 3300, 14502, 18, 254, 17488, 18, 889, 16, 8729, 763, 188, 311, 28413, 188, 327, 254, 18520, 18, 4024, 1285, 254, 4189, 4153, 18, 2640, 18, 17488, 188, 321, 18, 14502, 2148, 28150, 2391, 495, 633, 41445, 3231, 21887, 282, 254, 41445, 3397, 3513, 282, 6181, 2932, 7052, 9510, 2165, 276, 1359, 35, 248, 254, 286, 16, 34256, 668, 5255, 495, 13037, 19974, 2932, 2932, 254, 13306, 188, 8429, 903, 41445, 633, 34045, 476, 383, 802, 495, 3709, 16, 14, 10088, 188, 16, 28383, 9940, 188, 15067, 35, 3129, 28383, 321, 14502, 16325, 9495, 188, 46677, 825, 587, 2932, 35, 23, 3476, 11404, 3577, 338, 1755, 282, 37338, 4021, 6319, 18, 18716, 495, 35, 17740, 18, 18, 7877, 8979, 19, 254, 369, 282, 314, 903, 380, 476, 4678, 272, 16, 3300, 286, 18, 1615, 16, 254, 8309, 254, 16, 39207, 286, 668, 8441, 533, 14, 8245, 4678, 16, 390, 254, 3476, 1263, 2121, 16, 188, 1656, 4822, 321, 468, 254, 18716, 5509, 495, 510, 2470, 85, 311, 282, 254, 310, 3754, 5251, 3269, 23653, 19001, 9740, 20056, 510, 695, 19, 8118, 5925, 476, 641, 1525, 18, 248, 274, 943, 2932, 3577, 5371, 802, 9502, 324, 380, 36395, 321, 286, 2809, 890, 5152, 1091, 13733, 2932, 13005, 248, 403, 310, 11458, 476, 41445, 3300, 24794, 4351, 10949, 327, 4400, 338, 16, 931, 2982, 274, 188, 2121, 3468, 331, 16, 16, 18, 41445, 368, 42125, 903, 2042, 254, 286, 41445, 2121, 14, 1339, 18, 7952, 7877, 18, 8648, 19, 248, 40, 254, 18, 32377, 7997, 18, 14982, 432, 2104, 17740, 4513, 22, 10030, 931, 274, 16468, 6752, 1034, 19, 7468, 18, 35, 22070, 3151, 188, 4513, 9307, 14502, 903, 19, 390, 2969, 553, 338, 971, 1868, 10218, 7877, 188, 254, 14, 23538, 374, 1359, 2703, 2244, 286, 848, 4934, 18, 254, 16, 21511, 319, 18716, 18, 254, 4573, 328, 18, 11758, 35, 41445, 15, 254, 3360, 321, 16985, 254, 5371, 311, 476, 374, 597, 273, 513, 7827, 390, 338, 633, 5351, 282, 4987, 390, 19, 580, 17923, 321, 774, 16, 282, 324, 21903, 16, 286, 561, 476, 7827, 7877, 2363, 5694, 1224, 16, 4975, 751, 276, 9606, 1213, 42254, 1922, 11796, 15, 5982, 1464, 3397, 1017, 282, 20960, 495, 15, 7827, 7909, 282, 41660, 2257, 360, 3481, 21, 15, 17, 495, 282, 321, 8304, 580, 3468, 17740, 41445, 5397, 7952, 9245, 5798, 18, 254, 18, 2055, 1868, 34256, 931, 324, 1615, 552, 495, 276, 16, 254, 4242, 35, 276, 5287, 286, 254, 5371, 977, 85, 5937, 19753, 1637, 900, 5781, 476, 2809, 22, 19, 16 ]
[ 1, 276, 21173, 1569, 40452, 14499, 276, 11967, 282, 46, 3925, 360, 3, 2035, 368, 14, 457, 286, 11067, 597, 2517, 387, 9148, 1042, 2605, 19, 188, 596, 1444, 636, 360, 11826, 520, 353, 3144, 9148, 16, 14427, 2424, 452, 282, 37456, 16165, 2003, 7793, 9148, 85, 6596, 596, 39849, 836, 479, 2703, 2150, 254, 4212, 2602, 2514, 5776, 2099, 1444, 512, 9796, 13891, 513, 1091, 188, 1612, 254, 27, 1822, 7748, 286, 247, 348, 348, 22459, 272, 282, 772, 254, 3106, 9686, 1594, 16, 2683, 274, 1129, 2964, 310, 3294, 643, 23947, 4692, 188, 29748, 370, 1707, 14811, 27197, 248, 11376, 286, 314, 18, 1360, 384, 274, 348, 286, 16, 16, 4095, 248, 254, 18, 188, 22748, 19, 645, 9796, 704, 6667, 1110, 14811, 254, 44, 16403, 334, 188, 343, 343, 16, 9148, 3247, 77, 1450, 254, 318, 21173, 12476, 597, 28200, 2150, 368, 294, 282, 18, 561, 286, 282, 14, 673, 5049, 248, 1579, 4025, 4692, 3136, 36480, 282, 2994, 1612, 27, 34022, 282, 9109, 9796, 1842, 272, 369, 306, 5910, 457, 52, 360, 16, 248, 254, 251, 248, 254, 959, 16, 16, 671, 16, 311, 11115, 14168, 1577, 360, 5976, 248, 5097, 254, 14, 561, 1577, 21055, 16, 16165, 7748, 2496, 2803, 980, 1051, 758, 46, 417, 6376, 286, 1286, 495, 1315, 14932, 34038, 321, 2304, 306, 370, 254, 27, 1026, 832, 35507, 311, 471, 254, 9796, 510, 2536, 624, 1919, 40648, 276, 286, 15, 432, 353, 4762, 25225, 13852, 10838, 670, 4452, 360, 13964, 387, 85, 37331, 16, 22459, 457, 14, 254, 16, 5359, 1444, 2602, 18, 274, 85, 14811, 997, 658, 310, 959, 1091, 25979, 513, 282, 16, 839, 14, 282, 587, 5976, 188, 11376, 254, 5976, 16, 1868, 276, 282, 374, 1362, 276, 274, 8575, 251, 14, 31085, 18, 1093, 369, 23, 1390, 327, 826, 2075, 274, 254, 248, 13537, 1643, 423, 254, 510, 23, 2543, 37073, 687, 17, 254, 1822, 3247, 274, 254, 615, 254, 16, 2028, 327, 286, 310, 11, 254, 403, 16, 3184, 16784, 321, 1125, 4612, 6400, 272, 18, 1041, 274, 16, 1480, 254, 248, 826, 1822, 248, 376, 286, 24951, 7119, 2263, 2189, 374, 16, 510, 1887, 380, 2546, 3136, 14260, 532, 30086, 28200, 188, 3567, 14, 1544, 188, 286, 254, 16, 30752, 254, 1860, 1845, 561, 6571, 274, 28466, 665, 23545, 3324, 14, 7362, 4692, 254, 1026, 306, 360, 2347, 254, 27888, 338, 338, 683, 2318, 328, 910, 7748, 379, 1628, 939, 403, 254, 977, 758, 14, 331, 306, 324, 7420, 23, 9023, 348, 254, 248, 16, 286, 1629, 1311, 22459, 314, 11358, 17378, 21283, 555, 2485, 7824, 7585, 18, 188, 286, 21096, 2104, 1961, 286, 1890, 14, 22459, 254, 495, 188, 45774, 633, 4408, 6115, 1577, 11, 286, 248, 368, 254, 1887, 39574, 274, 286, 43729, 380, 314, 666, 14811, 188, 18243, 7118, 16, 1205, 688, 1091, 9148, 12941, 1997, 254, 22459, 314, 254, 532, 4236, 254, 21173, 624, 35292, 248, 772, 15497, 27152, 13537, 16, 537, 16958, 21055, 1652, 15, 2156, 28200, 338, 31488, 353, 14195, 457, 14, 254, 77, 282, 1143, 348, 1793, 687, 282, 14278, 188, 353, 7254, 432, 14427, 360, 23, 3681, 268, 1041, 11376, 22, 2298, 10890, 1838, 16, 8702, 452, 327, 188, 560, 1157, 5690, 3479, 276, 254, 18, 328, 44, 586, 29748, 32511, 11376, 47135, 3409, 282, 2328, 473, 16, 276, 615, 188, 254, 9148, 188, 432, 85, 16, 618, 473, 18, 772, 593, 4977, 2104, 3, 369, 457, 18, 2072, 510, 22459, 26254, 4325, 713, 5653, 510, 1569, 436, 343, 2115, 254, 561, 374, 254, 294, 254, 573, 286, 18, 14, 276, 1157, 560, 188, 276, 273, 1499, 4315, 832, 16, 417, 295, 324, 15, 1860, 25225, 23430, 18, 248, 16, 457, 254, 282, 476, 2069, 338, 360, 769, 3834, 286, 282, 3126, 276, 1362, 369, 10687, 16, 254, 274, 43317, 16, 286, 3402, 5910, 1129, 25268, 314, 37073, 10676, 276, 16, 21, 688, 16011, 668, 282, 14, 39574, 416, 8364, 14, 11, 47292, 3297, 433, 3136, 3277, 328, 311, 2602, 9148, 597, 1491, 286, 39423, 276, 310, 369, 14, 47958, 553, 274, 282, 2008, 254, 338, 254, 888, 24, 15, 188, 282, 4325, 24, 36490, 188, 1583, 4680, 338, 1579, 2193, 369, 14, 16, 11376, 28200, 643, 254, 343, 31488, 39657, 37085, 188, 11409, 915, 12941, 370, 69, 563, 436, 1664, 481, 7207, 5288, 2603, 12506, 286, 282, 9148, 8852, 374, 327, 751, 248, 368, 19, 15497, 18, 23631, 23, 1438, 18, 3622, 2055, 28, 963, 311, 560, 248, 3, 188, 368, 688, 46, 18, 248, 2158, 286, 600, 403, 2349, 35053, 1499, 33, 274, 4369, 561, 11, 5439, 18, 774, 2731, 532, 254, 4168, 5379, 3960, 4576, 624, 282, 254, 368, 274, 43, 561, 612, 30086, 1143, 353, 4762, 23, 16, 452, 14, 29748, 274, 1544, 481, 254, 2943, 6950, 14, 311, 369, 16753, 254, 33090, 348, 9415, 14811, 687, 254, 254, 4257, 9148, 30086, 2034, 16, 294, 37372, 619, 671, 374, 2770, 1473, 1708, 360, 1652, 888, 5976, 1045, 248, 607, 615, 324, 3067, 13053, 29748, 1612, 19932, 473, 188, 532, 14195, 282, 254, 328, 14, 16, 520, 22793, 37073, 353, 1612, 188, 282, 14, 457, 254, 314, 254, 2485, 11, 473, 6754, 188, 353, 328, 19, 369, 1874, 360, 13325, 15, 2770, 28200, 432, 2605, 12796, 39849, 18789, 5053, 597, 248, 254, 16, 423, 387, 1269, 9796, 3, 1247, 2876, 327, 473, 29907, 328, 687, 909, 248, 16, 3480, 188, 2956, 826, 671, 1822, 314, 353, 13442, 8534, 2824, 855, 306, 188, 306, 324, 12432, 560, 597, 18, 573, 436, 9148, 328, 12814, 1515, 18064, 286, 4525, 5194, 1026, 248, 452, 4369, 348, 14, 353, 27680, 6248, 532, 14811, 9148, 387, 370, 16, 670, 14427, 4986, 1270, 348, 369, 25225, 16454, 512, 643, 3479, 15425, 1961, 2433, 1815, 869, 334, 353, 15673, 1074, 16, 0, 16, 1017, 282, 7823, 436, 597, 1873, 35834, 1961, 1290, 276, 3, 254, 16, 306, 6893, 360, 1141, 295, 248, 25, 274, 35, 27680, 14, 671, 1612, 23, 274, 772, 16, 387, 22, 596, 369, 769, 282, 561, 1193, 2059, 9711, 666, 3982, 23, 286, 452, 1503, 276, 276, 532, 286, 4212, 52, 248, 390, 645, 6690, 16, 1579, 5864, 11489, 24247, 18, 5927 ]
[ 1, 16175, 555, 7023, 274, 16, 19259, 843, 977, 21441, 43, 620, 21, 338, 14632, 1395, 282, 2476, 25, 12441, 258, 2079, 16, 3412, 276, 2023, 35884, 1755, 23755, 188, 387, 19, 286, 374, 11396, 343, 254, 2490, 2476, 3789, 620, 14, 18, 274, 1738, 366, 328, 274, 40633, 274, 1585, 311, 1247, 2035, 512, 3506, 14, 5553, 1499, 20983, 2476, 5370, 2144, 2490, 16, 624, 2476, 248, 248, 16, 889, 439, 26471, 2653, 44084, 374, 7190, 248, 272, 620, 5390, 14, 274, 338, 16, 15, 11107, 14, 3184, 476, 5715, 1586, 23, 248, 9711, 14, 369, 1585, 701, 18, 23134, 12618, 286, 254, 324, 2071, 33603, 432, 14192, 338, 3, 5565, 254, 11356, 510, 43272, 580, 669, 997, 3783, 254, 343, 1726, 254, 15, 286, 1708, 16, 20, 20790, 24, 14198, 314, 1571, 374, 368, 343, 38, 324, 5833, 16, 18, 14, 1395, 1585, 16, 22088, 2743, 16, 8010, 533, 900, 374, 248, 7094, 332, 2430, 380, 4544, 39624, 2129, 13019, 286, 266, 11055, 15883, 9211, 26471, 14, 328, 555, 2653, 353, 3684, 615, 16, 327, 633, 6942, 9286, 27, 0, 248, 276, 12389, 343, 20983, 1223, 5431, 515, 20790, 4401, 11593, 380, 254, 403, 963, 2244, 1480, 17457, 282, 1985, 7760, 16, 311, 5184, 584, 276, 22443, 369, 14, 483, 254, 5194, 328, 19, 12617, 1055, 14, 274, 274, 37220, 3524, 248, 8132, 17353, 254, 15, 327, 11, 14291, 2306, 1062, 276, 251, 1441, 311, 14, 280, 9339, 327, 497, 282, 286, 29688, 3430, 26471, 4619, 403, 512, 6151, 374, 5444, 274, 16, 4861, 561, 327, 18, 20983, 23, 35517, 19519, 282, 276, 2103, 11527, 280, 14, 18, 274, 16, 254, 2476, 3616, 338, 1241, 353, 53, 254, 19, 2362, 16, 14, 41, 432, 26471, 16741, 4578, 26, 14794, 3066, 16, 596, 33603, 254, 1062, 2135, 16714, 47457, 274, 282, 2787, 18, 1709, 286, 4421, 19, 12224, 16, 11340, 286, 16637, 2207, 327, 254, 43, 2743, 390, 1212, 1491, 27724, 327, 749, 254, 19, 641, 282, 2300, 4440, 314, 2504, 276, 286, 276, 330, 1368, 387, 25, 1157, 248, 756, 3437, 417, 9300, 47618, 42272, 10638, 580, 2740, 338, 276, 457, 14, 2430, 14, 688, 11106, 353, 529, 254, 386, 4799, 35484, 3690, 91, 758, 2432, 394, 9606, 254, 374, 19, 2520, 188, 9646, 6928, 44084, 10594, 254, 3412, 2300, 16, 8132, 18, 274, 597, 14, 7919, 44084, 248, 274, 19, 5194, 16, 5225, 18, 343, 17538, 3989, 786, 374, 324, 584, 188, 476, 35, 9024, 18, 2114, 374, 36395, 16, 8132, 615, 742, 10605, 432, 29021, 843, 2258, 75, 13050, 390, 254, 432, 776, 254, 9077, 2041, 28541, 9776, 7705, 16, 14, 293, 19474, 1756, 374, 25, 5060, 33603, 7926, 5605, 14, 34127, 802, 274, 2660, 5511, 1544, 16, 6092, 452, 338, 7513, 254, 26, 17058, 641, 343, 1364, 39624, 24, 0, 368, 24, 40728, 12981, 6702, 476, 293, 248, 27, 573, 16, 436, 12168, 274, 374, 25556, 274, 24955, 14, 1849, 4107, 4412, 4704, 286, 2066, 282, 2672, 26, 2843, 3778, 2477, 15, 756, 8010, 6979, 695, 387, 35, 14696, 324, 2743, 1408, 14, 75, 276, 641, 561, 452, 282, 3225, 5095, 24924, 2704, 6217, 20983, 46451, 276, 188, 452, 16, 494, 22754, 282, 276, 276, 3901, 14, 695, 43, 2016, 265, 457, 16, 974, 327, 311, 21794, 7470, 324, 529, 1708, 27935, 16, 1590, 276, 10216, 40, 254, 23128, 3936, 590, 432, 21999, 14, 9490, 24234, 573, 14, 14, 293, 352, 3706, 23, 328, 13962, 532, 16, 671, 4619, 8669, 14, 1656, 603, 286, 16, 293, 432, 254, 188, 7843, 254, 682, 2838, 20, 324, 18, 5189, 85, 369, 596, 16, 16, 1408, 481, 16, 28556, 380, 254, 254, 276, 9988, 3778, 695, 687, 1157, 2490, 418, 328, 19285, 374, 889, 819, 3906, 276, 39624, 1280, 25, 665, 9211, 1708, 5261, 607, 2518, 14, 1193, 2490, 85, 3458, 945, 2269, 266, 16, 254, 19, 2023, 16, 997, 2476, 5261, 18, 21, 5690, 12742, 276, 286, 417, 18, 12940, 29045, 14, 26538, 387, 2586, 2499, 254, 311, 21233, 18, 338, 12742, 4658, 3312, 282, 889, 7449, 596, 188, 403, 9733, 387, 807, 270, 311, 282, 3970, 254, 19, 274, 19, 1874, 5194, 17979, 27, 452, 624, 26471, 2474, 16, 18, 2996, 16, 9779, 6612, 248, 374, 29082, 3869, 5384, 6689, 1694, 286, 14, 11, 374, 338, 254, 1481, 31887, 276, 15, 801, 1756, 448, 18, 3706, 495, 1013, 26471, 286, 27, 931, 276, 1330, 2815, 1738, 16, 615, 17058, 348, 16, 254, 4565, 254, 2314, 939, 942, 14, 53, 30024, 432, 17, 16, 33603, 620, 353, 188, 14, 432, 276, 2110, 555, 369, 314, 14, 16, 47277, 1738, 6640, 14, 276, 31403, 327, 20, 16, 374, 14, 18, 327, 18, 274, 255, 276, 2490, 43603, 274, 22, 8668, 3425, 2672, 188, 510, 580, 42349, 14, 282, 2287, 31582, 188, 1268, 13962, 403, 25, 387, 374, 39624, 19, 4902, 533, 368, 37220, 3206, 4434, 2476, 15141, 14, 254, 15171, 276, 1887, 2963, 11042, 532, 4297, 374, 731, 26082, 368, 23134, 403, 7125, 248, 5215, 4647, 1213, 2476, 890, 851, 1667, 7242, 286, 327, 671, 274, 802, 0, 348, 495, 532, 4644, 18, 457, 1017, 16, 2518, 5958, 8669, 286, 9077, 72, 590, 276, 19, 34391, 4351, 26471, 188, 16, 1090, 282, 1280, 276, 331, 13494, 16, 1238, 683, 188, 14, 561, 14, 18, 23, 4228, 2474, 38169, 328, 380, 671, 495, 476, 946, 1928, 16104, 251, 276, 8886, 2743, 669, 286, 1090, 274, 615, 1516, 6025, 254, 5690, 626, 2476, 85, 403, 14, 18, 683, 1873, 6287, 8219, 19519, 248, 512, 19083, 8535, 276, 769, 18, 248, 86, 254, 16, 390, 75, 13962, 16637, 19, 2607, 343, 615, 457, 293, 16, 1885, 30241, 37776, 35660, 4175, 248, 1547, 11401, 4707, 374, 188, 669, 457, 889, 6175, 254, 18, 32610, 328, 369, 14065, 19, 889, 1106, 5926, 590, 17353, 432, 324, 15, 19, 12374, 11309, 374, 529, 2536, 14, 3575, 729, 16, 248, 18, 274, 327, 19, 254, 432, 14, 276, 6928, 796, 286, 286, 4351, 7760, 5215, 1074, 369, 17457, 826, 0, 398, 13962, 20790, 27, 626, 14, 380, 248, 188, 53, 286, 24, 26471, 7001, 642, 24, 15, 311, 2476, 15164, 252, 21, 3449, 597, 9259, 254, 16559, 15, 21999 ]
[ 1, 16, 587, 4972, 324, 73, 282, 731, 321, 324, 4731, 1635, 688, 1045, 14, 616, 4512, 5861, 13273, 353, 330, 403, 519, 8697, 1142, 310, 417, 7922, 4932, 2209, 274, 403, 282, 276, 848, 15057, 417, 286, 360, 624, 10406, 1477, 24647, 311, 2378, 9515, 417, 15536, 387, 5041, 1305, 417, 14, 254, 3059, 390, 403, 1663, 3653, 1920, 747, 6921, 18, 282, 865, 311, 311, 16, 6101, 30431, 274, 282, 618, 9659, 16009, 1503, 310, 3477, 310, 6101, 6101, 2957, 9786, 282, 596, 476, 282, 254, 3972, 2948, 16, 266, 254, 19, 32039, 368, 3653, 17656, 1930, 715, 663, 327, 772, 324, 479, 3265, 1041, 1901, 1480, 4452, 6112, 1143, 561, 276, 2210, 16, 6101, 561, 3070, 8558, 1129, 343, 255, 254, 2371, 324, 436, 274, 324, 14, 772, 248, 188, 587, 45621, 311, 995, 3611, 1041, 35300, 513, 23810, 16, 14, 1767, 6112, 345, 16, 2476, 5594, 274, 2218, 663, 40934, 615, 2102, 747, 403, 282, 327, 310, 16, 390, 28747, 7743, 942, 2371, 14, 282, 79, 417, 310, 16955, 265, 1141, 663, 1928, 25688, 348, 665, 713, 24030, 45459, 4497, 4377, 852, 663, 16, 417, 327, 9407, 282, 512, 321, 1285, 4452, 713, 16, 6101, 16, 513, 14, 3059, 327, 625, 2328, 327, 282, 587, 311, 665, 327, 1143, 188, 188, 10560, 615, 16, 763, 286, 14, 555, 3792, 286, 282, 16, 5431, 4564, 23678, 1515, 370, 321, 254, 3409, 327, 403, 15057, 327, 12193, 327, 254, 274, 3653, 2672, 2014, 403, 30432, 403, 282, 310, 3435, 587, 1385, 254, 3452, 248, 1045, 286, 16, 248, 9889, 21250, 407, 254, 731, 282, 16, 36937, 5522, 16, 440, 2371, 7180, 23, 343, 9887, 282, 6112, 434, 16, 4869, 663, 324, 14, 380, 1141, 380, 633, 452, 324, 254, 5294, 403, 10275, 282, 663, 248, 248, 365, 1125, 7180, 4932, 328, 254, 9104, 367, 2016, 1141, 3772, 286, 310, 14, 772, 1305, 843, 997, 18, 254, 4842, 282, 1181, 2362, 596, 2008, 6508, 390, 53, 848, 4715, 274, 286, 1480, 6576, 274, 18, 1385, 596, 1923, 603, 7183, 31536, 555, 811, 942, 254, 9407, 311, 311, 6834, 626, 529, 286, 23, 555, 476, 4842, 8285, 16, 7036, 395, 21493, 41777, 248, 2371, 1374, 9786, 36677, 403, 380, 286, 188, 276, 6617, 2094, 16, 9515, 1322, 7468, 16, 5332, 47599, 452, 10203, 1354, 16, 378, 6837, 39410, 11564, 43, 1157, 4264, 1502, 254, 33, 16409, 1055, 665, 772, 327, 5703, 587, 17656, 688, 603, 555, 4092, 4699, 555, 615, 248, 811, 1141, 10068, 16, 254, 16, 701, 45389, 633, 587, 1061, 16, 298, 324, 1081, 16, 2101, 532, 1129, 479, 254, 254, 4179, 2490, 16, 254, 15, 254, 4688, 5132, 5495, 345, 10268, 417, 417, 663, 2899, 5758, 532, 282, 327, 1574, 7573, 8075, 452, 10243, 2035, 282, 327, 16, 27862, 1640, 327, 18, 21344, 22826, 417, 1438, 282, 5053, 663, 2041, 328, 8183, 390, 555, 5441, 436, 16, 961, 3453, 1945, 25883, 327, 1862, 942, 16, 368, 1269, 751, 1802, 4203, 2731, 417, 2626, 310, 8558, 4126, 368, 254, 16, 13418, 254, 1919, 6101, 618, 46443, 1040, 353, 16, 1143, 2462, 10794, 254, 942, 785, 8558, 403, 1755, 9887, 37297, 3509, 452, 282, 1469, 282, 14, 8256, 580, 6921, 486, 2003, 5441, 16049, 7970, 10560, 830, 1090, 368, 1745, 772, 286, 274, 3059, 403, 17331, 9407, 23798, 286, 282, 16, 2909, 310, 1972, 2807, 16, 353, 1305, 286, 8558, 28667, 21250, 2187, 8809, 633, 436, 410, 4618, 6834, 254, 20121, 1081, 254, 10869, 942, 616, 1068, 1045, 8684, 663, 4452, 254, 353, 276, 5294, 8306, 16151, 3852, 615, 2008, 5132, 4363, 1547, 311, 254, 731, 432, 286, 311, 633, 254, 1405, 1250, 286, 282, 1193, 2367, 328, 2701, 1045, 3089, 274, 1574, 4221, 701, 282, 310, 24737, 1919, 45621, 16, 10560, 9786, 1726, 16, 274, 7617, 2156, 486, 274, 13273, 282, 16, 2545, 6101, 1042, 5594, 580, 338, 327, 9407, 16, 286, 348, 8738, 16, 1354, 715, 282, 2156, 286, 2504, 751, 5441, 4532, 282, 561, 688, 16, 949, 479, 2710, 942, 529, 282, 276, 17331, 411, 324, 836, 254, 1837, 327, 4343, 32436, 616, 321, 5490, 663, 2041, 10275, 1767, 328, 512, 1503, 7681, 751, 513, 2504, 274, 1026, 2367, 956, 274, 701, 802, 785, 1045, 43, 436, 324, 14, 345, 10203, 26016, 403, 345, 16, 282, 32884, 512, 10540, 751, 10390, 5065, 9676, 30081, 1093, 16, 5441, 327, 14, 14, 513, 942, 14, 394, 353, 16, 16049, 1205, 615, 747, 286, 747, 942, 411, 2035, 3510, 997, 14710, 432, 872, 5638, 276, 41777, 513, 942, 1469, 11168, 5565, 16, 1515, 14, 248, 1469, 35740, 254, 403, 252, 36681, 17709, 1141, 1322, 254, 254, 324, 25, 16, 494, 353, 16, 3792, 16, 274, 1309, 282, 276, 3653, 276, 731, 311, 615, 17719, 16, 7617, 1547, 434, 282, 30851, 286, 328, 3653, 407, 311, 942, 20961, 476, 1915, 37045, 1038, 282, 370, 1708, 10099, 311, 327, 5703, 1247, 751, 532, 248, 3676, 15108, 626, 11, 14, 1041, 248, 354, 4254, 1247, 43, 1017, 403, 10540, 14548, 688, 5441, 2019, 5745, 14, 626, 310, 5638, 417, 2692, 3653, 1469, 343, 16, 17656, 4869, 14, 30830, 16049, 1141, 30152, 18353, 9515, 452, 254, 248, 4842, 3453, 2391, 188, 2504, 1037, 701, 274, 587, 45621, 452, 2584, 2033, 248, 282, 254, 4403, 1334, 286, 974, 42, 311, 282, 6499, 16, 188, 942, 561, 286, 327, 5638, 4363, 8558, 643, 2504, 701, 1491, 1594, 310, 751, 286, 324, 7007, 27799, 274, 18823, 282, 642, 3889, 282, 843, 1405, 286, 4374, 5441, 343, 2765, 16, 353, 900, 785, 6207, 909, 16, 254, 16, 4403, 625, 8256, 23641, 587, 751, 596, 942, 5435, 53, 6101, 274, 16, 343, 513, 24797, 403, 328, 1993, 436, 286, 594, 11168, 324, 324, 452, 332, 16, 6101, 2154, 282, 665, 1583, 835, 729, 3972, 669, 1286, 452, 380, 2367, 248, 16, 2141, 282, 1663, 6508, 942, 729, 3840, 17656, 8093, 2391, 14, 626, 1469, 6551, 1469, 3089, 12852, 1038, 286, 417, 368, 479, 248, 643, 254, 663, 248, 403, 16, 3829, 311, 5441, 282, 314, 1469, 1469, 10275, 327, 14, 22969, 11054, 254, 5299, 2292, 417, 348, 282, 1286, 286, 670, 1041, 6101, 394, 3324, 311, 265, 34583, 4251, 596, 286, 593 ]
[ 1, 22616, 16, 16, 843, 683, 12322, 2034, 1726, 25104, 8209, 286, 282, 633, 14, 282, 6722, 254, 436, 30173, 282, 2531, 5181, 254, 2531, 353, 16472, 254, 1253, 2298, 286, 476, 1125, 343, 324, 1034, 274, 286, 1040, 615, 24100, 37078, 274, 188, 14, 12747, 254, 1845, 731, 21945, 3664, 12708, 3856, 1044, 11, 595, 16, 4765, 30980, 15376, 12022, 457, 188, 16, 618, 16472, 403, 15, 15, 2292, 310, 254, 1040, 663, 2875, 1623, 250, 15, 19058, 2065, 276, 1962, 19058, 2675, 597, 763, 398, 16472, 188, 1038, 9579, 328, 248, 353, 310, 3818, 15935, 476, 15840, 21, 19058, 274, 14, 2706, 11776, 5742, 2531, 2034, 15, 666, 3844, 496, 3432, 1247, 30173, 21594, 457, 348, 1962, 24015, 353, 1619, 403, 1002, 188, 688, 1452, 274, 282, 1193, 343, 248, 2115, 327, 311, 12579, 12101, 457, 16, 4816, 16, 763, 20430, 15935, 533, 25546, 7725, 327, 609, 3856, 16, 248, 3144, 16, 14, 5256, 403, 1081, 12592, 663, 274, 8069, 2675, 573, 254, 457, 254, 14, 272, 596, 286, 2292, 15799, 2456, 286, 6001, 1985, 12557, 4565, 4868, 16, 587, 353, 7151, 282, 14, 274, 8811, 254, 394, 942, 272, 457, 282, 683, 695, 282, 343, 1596, 254, 740, 6001, 12592, 4678, 343, 9198, 1141, 46365, 324, 5827, 898, 248, 643, 1842, 12322, 16, 14472, 28959, 254, 188, 3340, 14, 86, 561, 254, 11586, 311, 1260, 16, 1044, 16, 311, 2531, 944, 7151, 353, 254, 624, 248, 5757, 368, 1061, 276, 28300, 633, 7151, 286, 17130, 830, 16855, 2255, 34382, 7151, 14493, 1855, 2107, 6183, 385, 8367, 510, 2710, 15, 13303, 1547, 31, 12219, 6806, 343, 282, 85, 963, 3054, 1848, 328, 403, 633, 3373, 328, 30173, 2531, 16472, 282, 11980, 2330, 1354, 324, 5234, 188, 3395, 85, 12138, 14, 666, 394, 286, 6001, 274, 28569, 593, 1311, 286, 3752, 25102, 4972, 4419, 16, 15, 1748, 12592, 282, 286, 25244, 19, 2490, 188, 1253, 532, 2210, 311, 328, 19058, 2450, 4475, 4475, 3564, 18711, 12592, 42167, 390, 2123, 1026, 1862, 394, 2210, 248, 14, 12022, 7011, 348, 248, 747, 12022, 1034, 473, 826, 390, 31187, 16, 14, 282, 2533, 2531, 1794, 274, 19785, 282, 1564, 643, 17115, 353, 311, 254, 368, 8611, 633, 961, 282, 16472, 512, 380, 16926, 2367, 11219, 5722, 19058, 254, 8093, 590, 37, 8497, 324, 14, 24204, 254, 2843, 5630, 597, 311, 436, 327, 555, 86, 1091, 13368, 25965, 1612, 11, 1004, 2778, 14171, 266, 47816, 476, 688, 286, 1665, 254, 2531, 343, 274, 457, 248, 188, 324, 748, 248, 286, 14, 1040, 2432, 14, 3664, 310, 811, 670, 39974, 963, 633, 8270, 2328, 16, 2427, 2531, 3265, 8444, 642, 532, 353, 311, 14, 248, 188, 248, 3506, 12708, 85, 4568, 3831, 633, 33, 248, 398, 22, 274, 19058, 2531, 3487, 668, 3258, 2427, 457, 747, 452, 740, 17115, 763, 274, 457, 763, 248, 248, 282, 2706, 1862, 29407, 14, 668, 3316, 807, 1002, 1432, 615, 31187, 188, 19058, 348, 2759, 343, 2069, 17686, 1061, 188, 47816, 188, 36, 19058, 1364, 2960, 368, 457, 327, 23755, 188, 321, 254, 687, 1364, 772, 769, 3805, 254, 254, 6817, 274, 1637, 274, 5247, 1232, 555, 86, 407, 324, 2531, 286, 311, 2730, 6722, 1874, 807, 13123, 4344, 1470, 7177, 1336, 1432, 248, 633, 688, 390, 82, 327, 2710, 11352, 1242, 5711, 311, 436, 3669, 276, 14, 1119, 19058, 1996, 188, 7856, 274, 18209, 3989, 286, 188, 13417, 324, 43913, 368, 2490, 961, 432, 85, 254, 19058, 42485, 4105, 19058, 8858, 36319, 14, 16, 5299, 398, 3509, 615, 6001, 2710, 650, 282, 3912, 274, 18034, 807, 276, 33323, 248, 2531, 2996, 274, 16, 188, 933, 14, 1253, 807, 254, 254, 2069, 327, 14, 394, 254, 274, 3888, 14, 2978, 3976, 1141, 1480, 16, 286, 9198, 12592, 248, 1996, 368, 2531, 286, 2531, 14, 282, 624, 1119, 1141, 740, 85, 1091, 843, 3690, 12592, 33, 47816, 668, 327, 10466, 343, 7410, 4093, 188, 254, 5628, 7151, 85, 14, 14, 394, 1865, 248, 398, 19626, 86, 1076, 12167, 85, 2531, 67, 7589, 633, 274, 5983, 314, 254, 9198, 17906, 368, 310, 16, 19058, 432, 3809, 13, 248, 774, 282, 14, 274, 436, 2338, 1826, 624, 1286, 286, 747, 2025, 669, 19058, 43, 85, 670, 731, 1580, 254, 963, 274, 35, 9579, 0, 5514, 274, 343, 4997, 286, 274, 1368, 16, 32864, 1091, 2414, 1040, 15, 28922, 3360, 276, 20763, 3395, 20699, 5958, 889, 2531, 37078, 869, 4373, 898, 368, 9439, 188, 457, 30173, 2035, 457, 10808, 11805, 1068, 282, 3170, 2237, 4282, 16, 2542, 502, 22, 343, 274, 33965, 16967, 21183, 16, 1479, 254, 2432, 597, 2531, 282, 496, 18034, 348, 12592, 1193, 2710, 19058, 2035, 763, 286, 769, 16, 1707, 1129, 3536, 16, 16, 563, 479, 16, 19058, 2035, 3108, 436, 16, 282, 14, 4865, 9292, 5256, 3082, 33, 31714, 15, 25102, 188, 15, 5363, 476, 282, 282, 254, 321, 457, 1433, 1516, 2169, 7151, 933, 2003, 3360, 12332, 2531, 282, 274, 16, 22138, 16, 452, 561, 282, 2104, 15929, 19058, 5628, 932, 33, 1525, 35939, 1837, 2148, 85, 15, 1479, 16, 633, 2241, 6183, 85, 5827, 1840, 254, 16, 15, 4733, 403, 13368, 282, 248, 1015, 16633, 282, 10228, 16, 3360, 15, 327, 310, 407, 16, 188, 343, 533, 265, 282, 457, 4480, 274, 248, 23796, 324, 1493, 2153, 7427, 436, 254, 2477, 4590, 2531, 35221, 4848, 338, 3360, 2563, 25965, 20, 25102, 1392, 15921, 276, 276, 2531, 39974, 16472, 3956, 16, 670, 807, 2531, 14, 912, 16, 2531, 34236, 457, 2456, 15840, 254, 9658, 82, 16566, 37, 942, 254, 2110, 254, 353, 321, 19058, 274, 248, 3061, 670, 12708, 2601, 1041, 254, 2231, 20898, 394, 7960, 10772, 348, 16, 1873, 763, 16633, 6708, 248, 274, 688, 16, 1157, 2411, 15548, 403, 7151, 16, 254, 15, 688, 11231, 47816, 642, 3615, 933, 248, 248, 643, 8030, 374, 1754, 1354, 276, 440, 327, 310, 476, 15840, 15, 1885, 18540, 407, 394, 1040, 248, 0, 1602, 31, 2151, 432, 15, 13, 390, 343, 457, 11261, 14, 2365, 1040, 4105, 34382, 668, 615, 269, 16, 7151, 321, 1435, 7151, 282, 14, 353, 311, 343, 772, 394, 251, 254, 254, 11820, 16, 188, 321, 2241, 1263, 11586, 476, 1004, 2710, 2710, 86, 314, 28338, 6529 ]
[ 1, 286, 637, 7168, 1891, 6106, 14, 13596, 11931, 14, 3166, 30993, 801, 16, 628, 41513, 549, 37419, 5338, 12799, 38262, 4313, 321, 8718, 612, 561, 1364, 618, 2509, 8823, 1064, 30015, 38356, 984, 14, 310, 1017, 24925, 3699, 5519, 3, 31914, 16, 14, 5659, 16, 7906, 3891, 14392, 33519, 1062, 751, 4672, 748, 7054, 5398, 712, 274, 188, 9306, 2056, 1228, 14, 254, 961, 33, 649, 36877, 367, 272, 2066, 353, 7928, 7078, 428, 31310, 495, 16, 4842, 35, 1038, 16, 79, 26445, 328, 633, 368, 7919, 311, 1056, 188, 19434, 688, 512, 989, 1891, 452, 248, 8307, 1057, 1130, 1830, 2595, 1547, 387, 324, 444, 324, 1515, 4189, 390, 3, 353, 1061, 628, 16, 274, 324, 628, 0, 2966, 263, 3442, 16, 274, 843, 286, 323, 939, 28378, 625, 706, 618, 2960, 16, 14, 14, 387, 390, 12852, 7296, 254, 5246, 286, 8920, 254, 353, 14, 34109, 18, 1033, 41, 3715, 14941, 2541, 374, 286, 18, 274, 1368, 7, 4282, 14, 3783, 3236, 1254, 1269, 348, 387, 6211, 939, 14, 3147, 2282, 26712, 560, 915, 327, 44514, 2099, 79, 626, 2473, 14, 603, 11830, 3819, 4013, 39060, 2643, 10846, 16, 1856, 255, 282, 2976, 5494, 16, 328, 293, 1520, 890, 555, 2541, 27, 1594, 248, 531, 580, 368, 21707, 1619, 282, 8840, 188, 1615, 401, 18, 36, 47530, 16, 255, 457, 14, 44514, 36877, 418, 563, 282, 10385, 24134, 39, 14, 11676, 387, 1384, 1475, 274, 254, 3182, 2014, 22376, 5461, 368, 7560, 188, 24, 28992, 11830, 30993, 997, 368, 274, 8418, 248, 1884, 7760, 590, 21, 452, 311, 568, 286, 12864, 310, 751, 14, 1362, 14, 1339, 315, 989, 2014, 3095, 13815, 5374, 12832, 811, 20, 9055, 324, 625, 3930, 669, 1606, 625, 5736, 254, 679, 282, 1269, 14, 16, 836, 354, 254, 13964, 254, 1247, 17, 17011, 2564, 3798, 282, 188, 311, 17, 343, 2842, 274, 17212, 452, 9, 612, 4528, 368, 321, 276, 16, 1845, 418, 2976, 23, 18, 3908, 6522, 254, 58, 2686, 45681, 286, 7746, 321, 41904, 24, 26, 17, 1640, 1516, 606, 28459, 4589, 2013, 1004, 9768, 729, 984, 18, 26476, 29471, 3829, 368, 10934, 476, 801, 1116, 323, 1037, 581, 15598, 36877, 576, 20023, 16565, 11479, 7036, 286, 36877, 41916, 14, 36877, 274, 21, 368, 1244, 248, 3, 47940, 3061, 549, 286, 14, 11081, 311, 1472, 1033, 286, 2122, 348, 8177, 436, 3930, 14, 282, 37064, 374, 1901, 367, 390, 3182, 14, 1037, 779, 286, 85, 368, 11830, 1017, 41513, 276, 3, 41153, 38356, 1887, 282, 2956, 7317, 2732, 15798, 5044, 2814, 14, 2362, 8498, 4558, 862, 310, 3182, 7928, 286, 274, 5961, 3061, 27, 24243, 521, 368, 7886, 14, 274, 10068, 24925, 16, 39199, 403, 872, 890, 18, 327, 328, 961, 28378, 18417, 29471, 563, 5398, 4615, 4013, 1837, 512, 26, 417, 642, 16, 2630, 801, 2357, 889, 536, 2056, 16, 7728, 3182, 324, 4189, 348, 1093, 274, 254, 10934, 25163, 5766, 2501, 327, 3399, 17284, 33, 633, 21511, 286, 14550, 358, 282, 188, 311, 1503, 7886, 29471, 8823, 0, 343, 15256, 1091, 53, 286, 6044, 282, 368, 633, 403, 274, 521, 4400, 14, 282, 248, 12968, 16, 21511, 188, 5937, 368, 9423, 1477, 1919, 21738, 390, 615, 587, 13596, 37390, 390, 666, 7041, 3908, 254, 286, 15117, 4615, 39, 28378, 1033, 772, 36746, 1004, 1640, 19447, 471, 18, 41491, 321, 14, 323, 7409, 1516, 471, 1090, 9152, 3, 254, 26476, 5215, 310, 452, 369, 282, 11100, 274, 428, 8333, 14, 11100, 248, 14, 324, 3032, 411, 8928, 6516, 368, 607, 33519, 9614, 368, 1838, 25830, 713, 32678, 3054, 323, 328, 22, 683, 612, 1017, 13899, 8418, 470, 624, 33324, 28459, 43, 85, 772, 16, 324, 254, 1004, 30169, 285, 343, 35, 751, 8177, 531, 9257, 254, 279, 1755, 9614, 323, 1475, 22540, 387, 7036, 457, 872, 343, 633, 14550, 9306, 8840, 3182, 9540, 457, 7928, 2357, 2271, 36877, 248, 7340, 19923, 665, 8418, 282, 286, 12092, 10187, 418, 353, 50, 17236, 7352, 16963, 9614, 12864, 1891, 8928, 27, 188, 286, 1516, 1026, 274, 14, 353, 85, 370, 15598, 387, 16, 254, 324, 560, 4481, 29471, 41153, 494, 387, 22765, 282, 512, 282, 16963, 11830, 12492, 17164, 16, 324, 1004, 625, 12745, 250, 19238, 188, 3891, 441, 607, 536, 2066, 8679, 555, 3798, 10385, 33, 45624, 5736, 36199, 353, 2524, 5961, 272, 91, 7906, 311, 286, 428, 254, 28459, 444, 5827, 274, 26245, 9889, 254, 22432, 561, 19, 848, 282, 967, 311, 603, 22949, 27, 495, 14, 1354, 633, 14, 17, 6426, 671, 323, 20172, 311, 9027, 5532, 16, 27799, 250, 254, 476, 314, 6788, 41904, 16, 3182, 371, 16, 3, 19434, 315, 387, 343, 328, 12968, 53, 1832, 606, 38030, 324, 0, 3502, 1520, 30954, 626, 286, 3761, 12745, 772, 328, 3406, 57, 7638, 4013, 7638, 15, 1908, 31395, 12078, 9333, 188, 11330, 772, 390, 1891, 11814, 418, 282, 16, 607, 407, 2541, 328, 9557, 2704, 670, 2653, 338, 268, 26445, 751, 403, 3, 11, 11830, 1004, 21516, 687, 343, 321, 3, 37064, 17236, 19238, 18, 36877, 9, 38435, 248, 4013, 19063, 14, 390, 20027, 452, 756, 457, 2738, 665, 324, 785, 343, 327, 368, 188, 188, 1038, 15798, 358, 403, 38435, 353, 688, 555, 272, 274, 4288, 1640, 14941, 8369, 188, 16, 41491, 1891, 25830, 751, 563, 4523, 254, 16, 14, 1520, 1205, 2122, 1948, 18, 248, 1664, 774, 348, 286, 368, 612, 743, 39013, 3826, 9423, 14, 311, 321, 633, 1254, 963, 371, 2350, 7702, 282, 390, 1395, 719, 5937, 2595, 10501, 8498, 4226, 321, 11845, 5338, 18489, 11280, 618, 324, 1502, 254, 286, 580, 188, 268, 3916, 1268, 338, 91, 1002, 494, 7, 2967, 18, 36877, 687, 747, 512, 997, 367, 1956, 282, 4740, 314, 276, 3837, 43, 625, 3, 512, 16, 369, 417, 285, 452, 5494, 16, 16, 324, 1017, 14, 45624, 387, 414, 4558, 323, 4533, 9614, 1891, 633, 36199, 36, 282, 188, 1244, 1038, 311, 3587, 17011, 353, 17284, 26245, 14, 327, 17660, 1033, 813, 603, 2701, 5158, 839, 390, 10046, 16, 587, 14, 14392, 86, 15475, 22540, 36746, 18767, 20023, 626, 286, 1884, 12587, 1640, 495, 743, 286, 2298, 428, 2473, 3147, 36877, 17660, 7078, 323, 188, 37390, 4523, 593, 668, 282, 719, 13258, 81, 14 ]
[ 1, 21660, 24, 1130, 9616, 9024, 28, 274, 5745, 695, 16, 12339, 85, 1612, 826, 315, 328, 1046, 4032, 328, 3988, 15433, 3988, 3988, 188, 41782, 1180, 254, 19, 5612, 276, 75, 23, 8572, 4094, 33, 14, 9478, 47854, 18, 368, 16936, 1038, 7931, 18, 353, 19, 14, 688, 338, 3485, 21820, 276, 1193, 476, 21, 478, 18044, 555, 1789, 713, 41782, 264, 14, 374, 1008, 974, 11309, 594, 254, 276, 1395, 25647, 407, 416, 9199, 248, 343, 274, 3910, 416, 532, 596, 7497, 41782, 555, 625, 390, 1253, 313, 2508, 7028, 34188, 310, 1884, 1286, 4800, 311, 961, 407, 1045, 834, 343, 8942, 4094, 369, 369, 348, 715, 2602, 14, 403, 343, 848, 311, 1884, 353, 13574, 818, 626, 1491, 248, 20, 12320, 22494, 607, 254, 16, 353, 9024, 248, 248, 884, 1521, 974, 353, 3972, 687, 27161, 2115, 4465, 1337, 587, 21, 11263, 284, 45924, 28046, 1041, 353, 507, 390, 1345, 14, 5742, 9024, 22494, 354, 306, 367, 434, 8419, 417, 254, 1038, 5708, 23, 29916, 19756, 369, 16, 3096, 6766, 22494, 5568, 763, 3683, 327, 1623, 1708, 284, 719, 633, 311, 282, 328, 25, 811, 390, 274, 8392, 636, 641, 368, 16, 7162, 16, 1235, 625, 383, 729, 3436, 16, 314, 16, 276, 19724, 407, 327, 9625, 434, 367, 248, 24, 7745, 16144, 2916, 254, 28, 4094, 513, 6522, 688, 403, 9024, 407, 276, 254, 14, 1491, 73, 22122, 27, 20, 18, 14, 1309, 954, 581, 12339, 2005, 24, 26471, 367, 1368, 476, 642, 16, 248, 19756, 85, 311, 248, 5838, 310, 16, 715, 452, 2151, 3096, 16, 1863, 42144, 331, 41782, 23, 8911, 407, 532, 18, 1345, 21, 416, 282, 264, 254, 763, 21, 1045, 343, 0, 286, 4, 1544, 1345, 6648, 34024, 19756, 2120, 387, 6856, 5715, 715, 1455, 637, 890, 4094, 21465, 1817, 16, 11263, 2602, 21, 1582, 26165, 407, 4094, 7047, 11263, 14, 14, 513, 1051, 4297, 843, 2916, 494, 4564, 399, 436, 890, 30654, 19, 188, 267, 343, 286, 18, 607, 625, 374, 248, 19, 274, 41782, 188, 14687, 603, 274, 390, 5568, 835, 20, 1337, 580, 348, 367, 26773, 3063, 555, 11842, 24, 188, 4032, 25, 28, 407, 254, 813, 22371, 713, 286, 19, 254, 1337, 4325, 2560, 2169, 11263, 272, 11320, 276, 22, 387, 14, 36964, 46659, 416, 30695, 403, 8392, 407, 16, 15, 4277, 16, 30183, 11320, 8911, 639, 19756, 22, 14, 580, 974, 2916, 687, 12565, 719, 16, 1288, 40189, 19756, 687, 811, 348, 21695, 16, 13388, 16, 354, 633, 476, 2774, 663, 282, 41782, 276, 399, 476, 348, 597, 25, 8911, 2916, 954, 452, 16, 916, 4032, 713, 2151, 1120, 248, 1863, 11263, 818, 21, 416, 399, 274, 16, 248, 254, 19, 1612, 1345, 314, 3721, 417, 4029, 641, 12264, 1863, 5745, 407, 1093, 687, 11309, 14, 407, 311, 625, 633, 889, 353, 1874, 19756, 403, 368, 273, 580, 276, 16, 19756, 8121, 286, 19756, 282, 254, 276, 18, 2630, 374, 16, 274, 1851, 11842, 834, 327, 41746, 22501, 1884, 28042, 416, 843, 633, 369, 18, 14, 374, 14, 652, 1093, 434, 13219, 22494, 20, 3248, 954, 1345, 15, 416, 254, 633, 16, 310, 314, 974, 3793, 21, 603, 327, 369, 348, 2169, 368, 264, 1755, 374, 367, 19, 347, 16814, 10109, 16, 25, 26, 6262, 26773, 343, 286, 14, 387, 739, 456, 15824, 16, 248, 254, 14, 18083, 338, 343, 3061, 5838, 20607, 369, 1717, 368, 45958, 735, 20790, 14, 26855, 353, 15886, 25, 14808, 834, 1286, 14, 12565, 4787, 10068, 26154, 11842, 328, 16, 14, 38098, 637, 16, 324, 16, 29054, 4707, 284, 607, 954, 264, 18967, 28, 576, 18, 1603, 4806, 14, 282, 363, 6071, 1884, 11309, 821, 3988, 9024, 4132, 264, 624, 1026, 412, 8840, 452, 46239, 85, 593, 658, 27369, 2185, 3988, 310, 310, 3732, 21771, 188, 1330, 1337, 834, 390, 3988, 16, 16, 8293, 367, 16, 254, 1863, 15930, 2028, 356, 274, 31297, 1297, 310, 254, 2486, 3, 367, 1578, 821, 14, 19756, 1817, 24, 2273, 274, 343, 282, 19756, 476, 2468, 843, 353, 276, 19724, 314, 254, 11263, 580, 22494, 416, 28797, 3096, 276, 15, 1478, 641, 25, 4094, 328, 41782, 2169, 14, 1708, 264, 24488, 476, 835, 18, 747, 719, 587, 14898, 2710, 21962, 13411, 1884, 188, 22494, 286, 2875, 26209, 14799, 4689, 374, 580, 16, 452, 16, 9199, 24, 16, 14, 286, 1612, 1873, 188, 14, 29083, 3988, 188, 357, 20, 387, 688, 1026, 26, 1890, 811, 284, 42523, 343, 16, 555, 9970, 390, 14430, 274, 476, 8911, 20561, 328, 555, 387, 248, 2503, 865, 555, 3552, 661, 407, 282, 633, 19, 1677, 14, 4859, 20, 417, 8240, 3988, 16, 188, 715, 14145, 403, 580, 14, 729, 276, 688, 310, 407, 1684, 407, 16, 1717, 274, 310, 687, 15, 7683, 452, 27640, 374, 6437, 1703, 29083, 22494, 476, 23, 390, 1612, 24, 26953, 1181, 248, 6457, 1345, 278, 19, 14, 1773, 432, 19, 633, 24, 19756, 274, 1337, 2418, 16, 20252, 1055, 954, 687, 22501, 14, 688, 10592, 11309, 368, 41782, 19756, 25695, 14, 286, 8915, 20, 10510, 669, 1843, 26, 668, 688, 367, 16936, 26773, 14, 942, 2530, 12983, 21, 416, 9024, 11728, 779, 835, 374, 343, 16, 28, 7497, 28797, 2701, 274, 37857, 3988, 3256, 16, 1815, 27, 188, 27161, 688, 29083, 16, 188, 25, 27369, 633, 3988, 495, 2503, 14, 1708, 1093, 282, 3850, 248, 1663, 2916, 1441, 14, 367, 24, 2332, 248, 9199, 11176, 1419, 254, 14, 1144, 1848, 254, 274, 3988, 14, 286, 28, 367, 434, 3850, 6536, 9625, 1002, 14, 4929, 399, 9199, 276, 14906, 188, 267, 434, 687, 476, 2612, 18, 4757, 1773, 282, 555, 1337, 284, 28797, 416, 5167, 13461, 16, 353, 43317, 12983, 3248, 14, 688, 311, 26471, 368, 367, 188, 11263, 368, 22122, 3988, 715, 374, 8861, 20561, 11320, 2560, 865, 14, 2169, 688, 1057, 8911, 16, 835, 3988, 19, 16, 15824, 4561, 367, 16, 954, 20, 2612, 834, 254, 28797, 338, 2916, 26773, 261, 11, 8392, 848, 481, 10859, 1773, 21660, 387, 593, 1884, 1679, 45958, 740, 555, 14, 85, 286, 843, 416, 28, 29, 17460, 1328, 314, 8392, 254, 16, 188, 390, 8911, 25825, 282, 6856, 10859, 834, 4875, 10494, 368, 43552, 16, 1093, 416, 353, 349, 2432, 2427, 1828 ]
[ 1, 502, 63, 2012, 15, 16, 16, 2897, 1018, 26190, 2012, 88, 21578, 13616, 65, 1420, 26190, 8414, 4937, 477, 1855, 22, 21, 41815, 3776, 24, 1142, 74, 13616, 1358, 1510, 26190, 2192, 1420, 543, 684, 15088, 41815, 255, 12213, 684, 255, 311, 88, 19197, 3776, 6096, 23567, 88, 24, 17901, 2897, 74, 9102, 19668, 31, 2012, 2157, 3361, 8414, 10691, 1018, 1420, 9468, 210, 2157, 543, 1420, 1622, 65, 41815, 8414, 30, 10, 41815, 1420, 5736, 1690, 45098, 1510, 3776, 8414, 88, 477, 2170, 88, 13968, 477, 1420, 477, 19197, 24, 1420, 13616, 210, 17901, 45098, 4336, 88, 85, 21, 255, 1855, 1420, 210, 1358, 63, 16, 22, 2157, 30, 8414, 1855, 24, 1018, 502, 3185, 11707, 210, 3776, 311, 684, 4937, 543, 21, 45098, 1420, 21, 24, 65, 684, 24, 15088, 684, 26190, 2157, 11702, 1420, 33584, 24, 14, 477, 16, 11702, 88, 65, 15, 255, 311, 1420, 26, 3291, 17901, 1358, 16, 19197, 477, 65, 2157, 210, 15088, 21, 10, 2157, 255, 15, 45098, 4336, 24, 1358, 24, 85, 85, 1358, 1076, 11, 1420, 32, 1420, 477, 31, 74, 15, 10, 41815, 1294, 1077, 14134, 8521, 65, 24, 16, 41815, 11, 63, 18, 7108, 16, 88, 13441, 1142, 30, 1420, 684, 19197, 8828, 8828, 502, 9102, 22, 41815, 1690, 3291, 2157, 41815, 15088, 13616, 74, 706, 11901, 24, 21, 8521, 1077, 543, 543, 3185, 24, 11901, 21, 26190, 11901, 16, 8828, 314, 18, 8828, 16294, 65, 1420, 1018, 41815, 8414, 65, 11438, 255, 18888, 26190, 1420, 85, 26190, 17901, 477, 8828, 8828, 11, 1420, 1018, 8521, 20750, 4937, 314, 24, 2788, 684, 13441, 314, 4937, 24, 85, 684, 12213, 32, 8622, 24, 21, 1018, 24, 85, 543, 41815, 684, 16998, 21578, 2012, 311, 88, 21, 1420, 19197, 2157, 1420, 8622, 63, 88, 11702, 88, 3457, 3291, 2788, 21, 16, 11901, 477, 1855, 314, 1420, 1358, 1420, 15, 15, 21, 24, 21, 13968, 26190, 1420, 85, 34720, 477, 26190, 477, 19197, 11702, 3457, 2012, 63, 88, 18888, 34720, 1855, 26, 1067, 34720, 10, 477, 1067, 1018, 41815, 210, 311, 477, 502, 65, 11702, 1855, 26190, 29103, 255, 2374, 24, 41815, 5905, 19197, 85, 19197, 41815, 17901, 706, 33584, 14134, 19668, 11702, 11438, 8414, 255, 41815, 3776, 8622, 2192, 684, 4213, 684, 16, 10, 1142, 1358, 1067, 2192, 34720, 502, 63, 706, 13968, 26190, 13616, 1077, 9102, 1018, 706, 88, 8414, 15088, 477, 21, 5160, 65, 1294, 26, 1358, 11901, 2157, 255, 706, 63, 63, 1420, 8414, 19668, 4213, 32, 15088, 65, 8179, 31, 88, 29103, 8828, 1018, 24, 13441, 21578, 684, 19197, 210, 19668, 684, 21, 31, 24, 88, 16, 314, 45098, 26190, 1358, 26190, 255, 65, 29103, 85, 684, 65, 13441, 477, 1067, 26, 15, 1018, 21, 1420, 19197, 14, 3185, 74, 1018, 1358, 63, 14, 1142, 3185, 24, 188, 24, 3291, 4390, 10, 19197, 11901, 21, 3185, 15088, 9468, 477, 74, 34720, 1510, 1420, 255, 684, 16, 65, 88, 24, 314, 1420, 16, 314, 2012, 88, 8414, 11702, 8414, 88, 11707, 3457, 16, 5736, 3776, 11, 74, 88, 16, 88, 13968, 1420, 74, 684, 63, 2167, 502, 8414, 41815, 13616, 477, 1420, 41815, 26190, 3776, 1358, 188, 543, 3457, 11438, 1420, 24, 3776, 11901, 1420, 24, 19668, 477, 34720, 85, 13441, 1420, 11702, 24, 1358, 10, 1420, 1420, 1142, 41815, 19668, 19668, 8414, 21, 21, 1420, 543, 26190, 5160, 26, 502, 2012, 65, 34720, 3776, 210, 11, 22, 15, 502, 543, 14, 3776, 4390, 255, 1018, 17901, 477, 706, 543, 17901, 3361, 188, 255, 477, 88, 45098, 19197, 11901, 706, 1855, 45098, 74, 19668, 19668, 26190, 255, 4937, 88, 210, 314, 255, 2012, 88, 65, 8622, 1420, 311, 34720, 11707, 15088, 1690, 3361, 3185, 21, 477, 684, 477, 41815, 31, 31, 1622, 1420, 24, 2617, 8828, 1420, 11, 2170, 24, 10, 1420, 8828, 15088, 41815, 88, 684, 2012, 1420, 255, 2157, 11702, 210, 21, 74, 8828, 45098, 502, 15, 13616, 3776, 2157, 24, 3291, 74, 2157, 1294, 314, 1420, 45098, 5736, 19668, 255, 9468, 188, 65, 502, 17901, 16294, 8828, 255, 13441, 477, 22, 17901, 2157, 19197, 1142, 1076, 88, 88, 1420, 1855, 24, 477, 65, 543, 24, 30, 8622, 477, 18888, 3776, 684, 42588, 21, 41815, 20750, 12213, 188, 41815, 11707, 2170, 63, 1420, 1018, 18, 3457, 74, 41815, 2617, 65, 21, 3457, 4937, 11901, 543, 3185, 30, 1855, 13616, 21, 502, 13441, 21, 19197, 88, 11702, 21, 63, 2012, 24, 255, 255, 706, 22, 543, 13968, 684, 21, 16, 210, 3776, 45098, 210, 3457, 24, 3776, 2012, 16, 41815, 65, 88, 11702, 85, 1358, 15088, 3291, 65, 3776, 684, 9102, 2157, 1358, 684, 88, 85, 8828, 13616, 16, 1358, 26, 21, 65, 11438, 16, 21, 314, 11707, 9102, 2157, 2617, 9102, 21, 1420, 17901, 24, 16, 4390, 26190, 21, 19668, 1358, 3513, 684, 15, 15, 21, 1420, 2157, 31, 1358, 34720, 24, 1358, 26190, 34720, 1420, 16294, 502, 502, 15088, 311, 16, 88, 4390, 26, 41815, 41815, 26190, 21, 14, 1420, 65, 88, 11707, 477, 13616, 543, 11438, 26190, 21, 1420, 22, 1420, 3776, 41815, 8179, 15, 477, 3291, 3291, 1358, 8414, 17901, 10, 22, 2374, 1294, 13968, 45098, 3776, 23567, 85, 8828, 19668, 477, 1018, 15088, 17901, 1018, 65, 684, 543, 1018, 41815, 2012, 88, 684, 1067, 1420, 4937, 11, 10, 210, 88, 1855, 22, 26190, 8414, 15, 210, 15088, 15088, 1018, 2157, 477, 17901, 2012, 18, 88, 85, 41815, 41815, 11702, 21, 8828, 85, 88, 88, 3185, 314, 3513, 88, 19197, 65, 1358, 18, 26190, 21, 15088, 31, 2157, 26, 706, 65, 21, 210, 2788, 502, 210, 16, 26190, 15088, 11, 706, 21, 24, 8622, 15088, 30, 11702, 65, 45098, 19197, 21578, 1018, 8622, 3457, 11, 19197, 11, 1855, 684, 41815, 8828, 19197, 2157, 16, 3361, 26, 1420, 2012, 314, 2012, 63, 684, 16, 65, 26190, 14, 1420, 14, 8414, 21, 21, 85, 1420, 8179, 21, 88, 24, 4937, 2157, 19197, 16, 210, 13616, 24, 11438, 74, 1358, 16, 34720, 88, 255, 11162, 19668, 26190, 5905, 1420, 1420, 543, 1855, 11, 188, 1420, 11901, 26190, 21, 706, 24, 88, 314, 26190, 11, 311, 21, 42588, 24, 502, 88, 684, 45098, 1076, 10, 502, 8828, 65, 2788, 255, 1420, 1855, 2617, 8828, 16998, 24, 65, 543, 11 ]
[ 1, 254, 1338, 374, 9137, 10443, 321, 2211, 432, 85, 264, 16, 276, 532, 14, 254, 14, 19478, 1321, 327, 1081, 4109, 5481, 2014, 374, 27192, 5123, 15, 4376, 2957, 254, 254, 24, 276, 11118, 24, 254, 18, 14966, 327, 387, 587, 24853, 615, 1093, 24853, 2957, 3615, 21678, 276, 339, 607, 2476, 85, 327, 669, 324, 1491, 24853, 1305, 8141, 24, 85, 1350, 16, 254, 16, 14, 276, 369, 8694, 324, 4260, 587, 276, 576, 15201, 276, 13791, 1193, 8558, 14, 311, 5139, 21, 810, 24853, 16225, 343, 683, 276, 2142, 5048, 282, 254, 1350, 274, 286, 974, 615, 619, 42910, 18, 3585, 85, 33099, 29, 476, 1824, 641, 311, 276, 603, 1305, 254, 7270, 5942, 15800, 19, 24853, 2957, 2328, 931, 743, 254, 15366, 30518, 276, 14, 14, 282, 276, 1993, 16, 248, 481, 28760, 24, 18, 6495, 286, 10560, 10661, 5481, 18280, 13791, 1002, 23364, 282, 1321, 15, 2023, 28238, 19, 276, 42910, 596, 286, 22356, 18, 24853, 6844, 282, 8583, 5942, 254, 596, 2057, 18, 2974, 417, 4667, 353, 23, 1057, 14, 23073, 1738, 254, 452, 18, 6296, 14428, 33038, 14, 33099, 15253, 5481, 28, 21, 20125, 3250, 14, 2957, 2148, 18, 1500, 457, 2696, 10480, 19, 282, 23170, 23073, 17677, 24853, 457, 254, 24853, 274, 1615, 383, 555, 2957, 254, 390, 283, 50, 286, 403, 18, 596, 26598, 1062, 24853, 471, 274, 14, 8558, 14, 594, 4452, 18, 374, 328, 18, 4264, 286, 2874, 3713, 20, 15, 17424, 1205, 3427, 16, 2958, 311, 16, 374, 587, 254, 8141, 282, 9892, 303, 4448, 561, 360, 11, 14670, 327, 338, 188, 18, 1091, 6259, 18280, 4310, 573, 2957, 15510, 457, 24853, 23044, 14, 274, 573, 6825, 248, 481, 3084, 276, 924, 1738, 5484, 18, 3709, 1305, 19, 274, 1129, 29789, 42, 560, 26803, 47036, 2042, 327, 14, 26, 3297, 11, 4671, 8583, 7270, 19, 282, 19, 282, 324, 2263, 276, 19, 1664, 6329, 3906, 24853, 24853, 6844, 642, 1063, 7270, 1038, 3446, 10620, 286, 2023, 4260, 403, 254, 18, 11663, 370, 2115, 327, 802, 314, 19, 2432, 457, 274, 1091, 4646, 4141, 254, 1193, 1849, 456, 9799, 3048, 6329, 3435, 25987, 14, 16, 44828, 15510, 4109, 248, 321, 4791, 282, 555, 14966, 23, 7270, 28, 18, 314, 1521, 55, 452, 889, 5656, 407, 1733, 14, 16, 1162, 374, 254, 3355, 17626, 13791, 7270, 457, 890, 374, 6241, 24853, 4832, 14, 19, 8583, 471, 5139, 24853, 555, 8298, 642, 615, 8141, 374, 23, 327, 11474, 286, 254, 254, 15648, 282, 1707, 16, 276, 324, 944, 282, 3248, 12092, 16, 1336, 24, 18, 22807, 14, 26, 7270, 254, 276, 2473, 286, 374, 274, 8583, 3850, 532, 14, 4452, 24853, 282, 587, 5962, 327, 10480, 254, 16129, 1002, 18, 643, 6961, 2980, 7270, 14833, 328, 53, 21, 12101, 327, 324, 282, 14, 276, 21830, 338, 555, 2802, 626, 4568, 22498, 14, 2903, 7270, 1339, 7270, 16, 7254, 17250, 276, 16, 2504, 2103, 16, 1013, 14, 286, 44528, 403, 14, 643, 24853, 47036, 4109, 683, 5942, 1002, 1033, 18280, 14, 6844, 5481, 7825, 20056, 19587, 830, 276, 11528, 3326, 27, 7274, 7852, 835, 643, 15, 452, 369, 29, 2102, 2432, 24853, 86, 729, 248, 29535, 7825, 26, 24023, 2142, 254, 27, 3709, 407, 24853, 496, 6844, 24853, 1427, 276, 8667, 533, 624, 15679, 16, 7270, 35950, 3355, 254, 35938, 274, 19, 274, 14, 1143, 1162, 1350, 835, 615, 254, 6938, 2957, 13620, 456, 4260, 2196, 452, 1683, 254, 2408, 14, 86, 4387, 615, 276, 276, 14, 85, 286, 942, 273, 830, 374, 188, 2957, 282, 403, 20, 274, 86, 274, 188, 254, 14, 276, 254, 9495, 324, 16, 282, 282, 374, 24853, 254, 274, 254, 7432, 24853, 274, 924, 581, 20208, 811, 254, 276, 7825, 85, 17689, 924, 374, 5481, 85, 1521, 22, 311, 324, 248, 2210, 687, 7270, 282, 497, 32380, 686, 974, 457, 456, 11528, 22, 35204, 254, 20, 2906, 695, 8694, 16, 24, 974, 314, 1157, 314, 457, 254, 321, 432, 16, 314, 85, 274, 587, 11977, 497, 1055, 390, 42910, 276, 2042, 4709, 19, 276, 1223, 560, 324, 286, 3778, 2142, 14, 24853, 1397, 10149, 2957, 1350, 314, 641, 10560, 324, 282, 5484, 4631, 314, 596, 327, 18, 1093, 188, 276, 2476, 2023, 380, 7270, 20306, 3594, 6329, 24853, 4442, 374, 18, 14, 19666, 7825, 254, 1742, 254, 3802, 1268, 276, 380, 495, 2612, 2703, 8141, 24853, 7270, 2332, 643, 2501, 10203, 1382, 596, 6844, 19, 28132, 282, 22, 24, 276, 828, 655, 14, 2014, 2470, 18, 4929, 286, 1635, 47036, 24853, 276, 17453, 11528, 9197, 452, 14, 85, 942, 7270, 12374, 2957, 26, 16, 11321, 254, 683, 390, 2332, 481, 248, 390, 663, 276, 7270, 457, 274, 11, 4378, 1091, 532, 248, 22498, 9694, 1910, 282, 250, 2476, 403, 330, 481, 1295, 1996, 407, 34747, 16, 14, 1268, 276, 665, 403, 374, 7852, 23, 6844, 2048, 3709, 19, 15, 327, 888, 21212, 1464, 4260, 642, 3547, 532, 24853, 19, 19, 254, 398, 8583, 23, 2957, 14, 6296, 4260, 14, 2692, 374, 7270, 19, 10868, 3419, 321, 7582, 1350, 14, 254, 44828, 370, 27, 274, 2957, 10661, 6844, 2042, 24, 4682, 24853, 3458, 5481, 2958, 18, 10201, 24853, 2957, 1845, 8165, 22, 24853, 44907, 1038, 248, 4237, 1521, 24853, 18, 254, 2957, 276, 6844, 374, 2019, 1480, 520, 276, 17626, 254, 45890, 14215, 276, 13791, 3605, 403, 1849, 743, 16, 10359, 457, 688, 399, 22535, 254, 329, 3159, 1544, 1091, 16, 624, 16, 374, 35987, 5900, 4260, 282, 769, 5962, 7270, 276, 29710, 5582, 21, 374, 374, 1129, 1847, 650, 188, 15498, 276, 282, 362, 12880, 18280, 4260, 311, 2957, 2196, 2006, 900, 353, 8694, 1091, 2957, 254, 282, 14, 314, 1656, 24853, 6329, 327, 7270, 457, 311, 21830, 642, 8688, 24853, 35204, 22356, 670, 274, 85, 16, 274, 22525, 2210, 19, 23, 15201, 254, 324, 1157, 555, 282, 457, 19, 19318, 328, 17626, 276, 8583, 327, 3614, 560, 274, 374, 2048, 4186, 8694, 1519, 848, 274, 650, 1738, 276, 1051, 45459, 6320, 900, 686, 366, 188, 248, 321, 7270, 452, 86, 2476, 11528, 10092, 27, 18, 38, 2926, 1093, 1477, 276, 20, 18, 276, 7270, 4264, 188, 1268, 274, 3159, 7270, 276, 8244, 15850, 5563, 1040, 555, 2490, 18, 188 ]
[ 1, 16832, 3191, 282, 10, 30189, 669, 3014, 321, 4774, 476, 1157, 282, 4782, 17247, 2961, 68, 286, 254, 28817, 31031, 286, 628, 378, 8611, 387, 286, 254, 888, 1157, 4422, 276, 1431, 9256, 688, 248, 374, 23775, 512, 1249, 324, 1845, 1970, 16, 9205, 2733, 353, 5608, 561, 8418, 254, 14, 17672, 21296, 276, 276, 9138, 30441, 366, 4561, 441, 563, 915, 248, 254, 310, 188, 44898, 14, 747, 188, 43, 403, 2612, 731, 286, 274, 643, 1004, 615, 248, 12745, 2862, 286, 603, 597, 1603, 6400, 593, 447, 731, 1130, 4658, 310, 321, 16, 282, 33493, 324, 32081, 1309, 417, 327, 668, 3542, 1640, 811, 777, 432, 327, 254, 247, 274, 1920, 3082, 624, 2063, 4221, 3826, 2066, 34425, 276, 3673, 9496, 17608, 276, 15, 2374, 282, 1362, 5478, 411, 10, 391, 248, 1033, 633, 14, 4574, 274, 12347, 4801, 272, 3379, 6437, 479, 276, 276, 387, 248, 321, 618, 2722, 407, 2432, 311, 188, 1544, 310, 1837, 2123, 360, 8474, 274, 8283, 310, 274, 188, 1026, 479, 254, 3379, 188, 2049, 4597, 348, 3732, 603, 1901, 587, 15, 1206, 417, 4782, 258, 286, 618, 8, 747, 286, 1038, 3, 587, 16, 7618, 1629, 596, 3198, 274, 671, 576, 18, 11892, 23655, 10, 596, 836, 8418, 254, 593, 2818, 16, 41, 353, 188, 14, 403, 279, 34692, 819, 15268, 4285, 4750, 31523, 7560, 23655, 248, 944, 1447, 43463, 8718, 2818, 4688, 311, 580, 282, 2628, 11798, 282, 6967, 286, 25843, 10565, 3837, 1041, 10142, 16, 3844, 731, 14, 9466, 31674, 353, 343, 2980, 417, 36631, 14, 561, 286, 1315, 282, 14, 16, 512, 24968, 34545, 4597, 17608, 2623, 286, 28616, 28651, 618, 14074, 1157, 248, 348, 321, 1711, 310, 715, 8101, 257, 248, 13940, 476, 4466, 8725, 8621, 286, 286, 8394, 7280, 4684, 16315, 3191, 276, 14992, 360, 6344, 4598, 40394, 374, 1789, 11981, 2374, 4254, 2780, 748, 368, 4269, 2292, 20139, 6191, 254, 16, 321, 7753, 16, 282, 436, 416, 1309, 254, 282, 5103, 6051, 8128, 865, 10062, 9856, 633, 843, 257, 1002, 407, 476, 324, 2041, 390, 276, 2151, 286, 282, 532, 1309, 310, 279, 1269, 476, 324, 4561, 2030, 2525, 1845, 497, 532, 9884, 7158, 8621, 188, 324, 16, 286, 310, 16, 618, 16, 18707, 3, 4541, 14203, 593, 1090, 811, 286, 32363, 254, 353, 476, 731, 4558, 369, 254, 286, 255, 633, 1026, 14, 1745, 286, 553, 254, 668, 310, 2152, 633, 278, 257, 1444, 6128, 286, 1181, 1129, 2628, 4704, 1919, 4574, 743, 324, 254, 398, 310, 4414, 14, 8514, 16, 286, 3, 843, 4906, 1129, 481, 254, 2187, 286, 10, 2362, 254, 756, 84, 10282, 286, 4285, 1125, 254, 327, 323, 772, 14, 1034, 432, 436, 254, 286, 286, 276, 495, 1316, 282, 1919, 248, 1193, 20824, 272, 324, 387, 324, 15268, 282, 14938, 3191, 45451, 452, 2996, 282, 324, 271, 254, 327, 665, 2118, 11287, 407, 621, 11, 715, 14, 1362, 894, 11892, 306, 4456, 16, 8621, 3191, 872, 16, 343, 343, 327, 432, 254, 248, 310, 22072, 7608, 15263, 286, 10078, 282, 512, 891, 16, 3732, 1180, 843, 16, 276, 4513, 1963, 254, 2139, 836, 2951, 596, 310, 5898, 8802, 497, 1450, 3051, 310, 274, 479, 45022, 3498, 21794, 772, 45327, 16017, 2233, 14, 513, 2216, 3673, 2391, 16, 1709, 10117, 274, 360, 310, 247, 2943, 247, 747, 9461, 3837, 5644, 4517, 671, 1625, 254, 2427, 286, 1200, 23609, 32818, 310, 14, 4414, 7025, 12217, 360, 309, 441, 257, 2942, 40480, 8840, 14, 1455, 274, 11169, 1354, 944, 321, 785, 670, 12592, 248, 310, 3834, 9157, 11, 286, 1309, 495, 248, 4507, 2328, 4688, 10, 1629, 6107, 9136, 27791, 4867, 4750, 1260, 274, 17236, 14, 5065, 338, 257, 188, 22142, 3460, 432, 1180, 4679, 581, 16, 16, 17, 286, 358, 23655, 417, 576, 2206, 7223, 596, 563, 780, 555, 324, 756, 282, 286, 436, 1444, 4149, 15, 1063, 452, 561, 1887, 15425, 14308, 568, 2018, 1181, 274, 279, 368, 14, 17, 274, 248, 16, 3, 29663, 369, 763, 618, 248, 785, 729, 747, 327, 3686, 14, 5660, 15, 686, 9481, 1354, 436, 9175, 368, 282, 16, 310, 5194, 401, 2710, 12035, 327, 1026, 42191, 1480, 618, 274, 11676, 573, 8350, 1309, 286, 286, 11798, 8840, 1789, 368, 14, 11903, 8780, 254, 862, 254, 1594, 343, 1845, 276, 311, 286, 25986, 248, 1851, 282, 1838, 42475, 29523, 5799, 3, 282, 9141, 997, 13351, 1247, 2133, 1038, 33493, 5167, 3768, 4561, 10777, 374, 9375, 248, 2225, 25931, 343, 826, 16, 282, 1247, 387, 309, 1582, 742, 3998, 633, 772, 5025, 715, 888, 254, 1269, 310, 282, 343, 763, 327, 2314, 47994, 1038, 2453, 387, 248, 4929, 310, 282, 13351, 8802, 5769, 1051, 33493, 254, 18505, 1603, 14, 10, 436, 643, 324, 23, 247, 7383, 682, 1464, 14729, 19838, 12506, 27635, 286, 532, 32235, 282, 593, 4335, 16, 742, 2508, 310, 2482, 479, 353, 14, 513, 12572, 14, 16637, 274, 254, 16, 872, 286, 2101, 9856, 30589, 282, 25326, 407, 3, 16, 3, 247, 373, 34030, 6967, 417, 16, 8, 403, 390, 282, 310, 324, 4254, 407, 7676, 343, 1480, 2622, 324, 2609, 2602, 2464, 15, 360, 254, 751, 1220, 282, 1122, 2701, 5799, 6667, 532, 254, 1872, 23788, 15, 310, 3408, 338, 2118, 5058, 282, 12311, 633, 11194, 15, 3853, 248, 16, 7158, 432, 276, 18613, 3925, 11287, 4686, 188, 513, 712, 257, 310, 12308, 3646, 17336, 13259, 6788, 11798, 2019, 889, 26522, 2951, 327, 369, 31174, 23, 3690, 2371, 1258, 7639, 5708, 417, 10142, 11112, 729, 27, 276, 3, 15, 8, 1841, 626, 8840, 19080, 310, 254, 368, 368, 4383, 6327, 3223, 5555, 4872, 476, 16, 254, 16, 310, 4462, 4561, 26, 576, 4149, 1963, 1796, 254, 1074, 563, 286, 3364, 3, 1354, 946, 286, 1603, 14, 576, 35497, 3603, 11903, 374, 1830, 432, 188, 6967, 2942, 618, 188, 387, 3285, 50, 248, 551, 1952, 282, 3598, 274, 1260, 401, 276, 248, 2154, 13940, 1026, 624, 310, 276, 286, 286, 4325, 3, 512, 34109, 497, 34576, 310, 368, 343, 1872, 369, 23655, 12488, 188, 14116, 14, 624, 9874, 618, 3, 369, 3, 888, 13331, 1041, 2244, 264, 14, 1661, 944, 17364, 328, 6596, 3812, 3122, 5708, 452, 3477, 20860, 417, 5095, 2978, 254, 11676, 254 ]
[ 1, 669, 7411, 3144, 274, 1042, 311, 299, 7300, 403, 790, 248, 836, 7389, 248, 16, 286, 14, 2245, 311, 2427, 348, 311, 4544, 16, 390, 16, 3395, 8132, 3814, 21247, 274, 2849, 1610, 2807, 14, 403, 380, 282, 343, 20086, 13658, 900, 311, 276, 353, 311, 311, 619, 248, 3189, 248, 1837, 360, 348, 22471, 254, 1364, 641, 3141, 311, 2653, 2759, 248, 311, 254, 4544, 555, 668, 286, 2518, 311, 1017, 10088, 13894, 596, 1042, 254, 348, 4544, 14, 5597, 851, 1840, 944, 282, 3498, 3673, 948, 931, 23991, 286, 13372, 39348, 3835, 16, 10859, 4740, 14, 5514, 581, 5246, 3141, 368, 704, 555, 587, 16, 3171, 403, 4544, 513, 16, 4306, 340, 594, 436, 5523, 31146, 719, 14387, 1499, 353, 615, 29, 683, 1838, 3184, 254, 14, 274, 32564, 487, 1869, 16, 4504, 29, 248, 311, 38961, 4848, 1057, 11920, 2003, 587, 248, 4544, 254, 254, 889, 2541, 387, 6301, 274, 1056, 1062, 85, 37598, 1002, 487, 3364, 10661, 20086, 11176, 4544, 38961, 256, 3184, 21, 311, 282, 7564, 2943, 311, 3, 5553, 2110, 476, 1041, 748, 321, 248, 2628, 1385, 931, 14, 16, 276, 403, 388, 417, 274, 407, 3184, 4251, 596, 12120, 16, 274, 1085, 5050, 276, 452, 14, 747, 18886, 29, 1623, 353, 20, 5585, 587, 2432, 666, 2623, 7553, 3189, 417, 1920, 340, 12008, 403, 339, 2518, 33138, 1180, 353, 4699, 286, 2033, 5838, 11699, 603, 615, 321, 82, 7298, 2518, 633, 1061, 282, 13326, 2152, 671, 24100, 3360, 4544, 16, 16, 1837, 302, 16, 9874, 282, 2960, 353, 9211, 900, 20086, 286, 10859, 254, 10109, 23156, 16, 254, 282, 37598, 7054, 28253, 4130, 596, 16, 751, 321, 4248, 769, 23075, 512, 254, 360, 1041, 23, 407, 86, 476, 3506, 603, 650, 282, 14, 3184, 7300, 6685, 3065, 276, 532, 276, 5243, 1352, 607, 14, 1213, 2186, 254, 2244, 1013, 29, 286, 14, 188, 14, 21849, 30402, 10859, 286, 3736, 650, 3189, 2790, 2967, 403, 311, 6702, 14659, 4105, 16204, 15, 436, 2245, 41, 282, 22203, 3814, 5631, 2653, 731, 343, 23156, 4306, 6423, 417, 274, 1382, 939, 311, 432, 3191, 5690, 276, 286, 274, 4214, 16, 407, 3784, 286, 933, 254, 38718, 1841, 311, 16, 3564, 23626, 250, 2653, 188, 7570, 25978, 1495, 14, 14, 6326, 254, 1042, 11887, 4765, 286, 19592, 436, 343, 7675, 1017, 1826, 11779, 354, 763, 603, 311, 1603, 25978, 1223, 5062, 14, 624, 14, 338, 8862, 3065, 16, 16643, 665, 1157, 343, 279, 4544, 13875, 16, 2196, 274, 2966, 872, 8065, 1385, 417, 35995, 16126, 5395, 353, 1563, 4032, 286, 368, 417, 6151, 476, 418, 1110, 436, 4351, 3316, 15, 7273, 587, 348, 282, 17865, 16, 16, 353, 16, 276, 513, 826, 593, 2353, 869, 14670, 643, 9704, 323, 452, 248, 16, 380, 311, 1062, 380, 10295, 29513, 452, 14, 327, 835, 16, 900, 18115, 4544, 17823, 666, 5053, 4458, 45, 14, 33, 665, 417, 282, 826, 2424, 274, 248, 403, 13492, 2028, 16, 1218, 457, 650, 16, 1402, 835, 18837, 15919, 282, 4544, 4544, 1093, 1664, 417, 272, 580, 348, 4544, 16, 8101, 3065, 321, 633, 839, 4757, 14260, 811, 254, 2709, 2746, 6301, 1042, 481, 4544, 304, 457, 23156, 3184, 327, 2330, 38455, 2028, 86, 282, 403, 21864, 1583, 29717, 279, 3184, 4544, 807, 1056, 1049, 311, 4622, 16, 12192, 1115, 4544, 254, 4544, 274, 2034, 4544, 417, 819, 731, 14, 286, 4544, 311, 324, 37598, 1610, 248, 1423, 274, 751, 2778, 17143, 1640, 5708, 3217, 1061, 751, 16, 3065, 390, 24430, 751, 6979, 360, 9415, 1637, 1726, 1352, 669, 9704, 9787, 29101, 248, 343, 1726, 839, 0, 13372, 2318, 403, 407, 37598, 327, 274, 1285, 915, 1336, 14, 321, 21563, 587, 2269, 274, 7300, 4893, 16699, 21322, 353, 390, 254, 254, 826, 1015, 276, 8904, 670, 7389, 380, 3405, 669, 2514, 1110, 4544, 276, 4733, 4772, 286, 14, 353, 254, 254, 16, 7823, 5267, 16, 513, 321, 14, 587, 327, 248, 248, 2701, 900, 1180, 304, 915, 45742, 273, 48002, 4544, 695, 6578, 944, 254, 360, 3164, 961, 48051, 20941, 1081, 899, 282, 2978, 282, 665, 2778, 7389, 32687, 1910, 4544, 626, 416, 353, 274, 286, 6025, 16126, 16, 14, 35793, 276, 452, 282, 286, 22948, 1213, 248, 16, 663, 2244, 2539, 6971, 19, 5256, 254, 327, 756, 254, 311, 29513, 368, 813, 533, 2738, 1260, 452, 403, 286, 4544, 1368, 3189, 8428, 37739, 4541, 1862, 1057, 8862, 457, 7675, 628, 5894, 960, 633, 48002, 14, 593, 248, 324, 4544, 4544, 731, 16, 254, 436, 15, 6025, 2653, 254, 2034, 6004, 380, 2626, 4622, 1610, 368, 7391, 1726, 555, 2056, 254, 769, 4544, 248, 368, 974, 3170, 311, 10323, 388, 388, 417, 14752, 48002, 3838, 16, 1017, 1017, 311, 4544, 348, 286, 596, 23721, 3277, 1042, 314, 353, 3783, 311, 13894, 311, 3, 889, 256, 14, 1339, 311, 276, 188, 580, 961, 1180, 14755, 368, 642, 274, 276, 1157, 4544, 4544, 948, 4622, 2107, 3462, 7728, 311, 14, 314, 476, 596, 340, 1525, 668, 311, 14, 650, 23156, 16, 20, 680, 436, 7161, 16, 30566, 3706, 256, 282, 274, 1830, 1309, 16, 496, 274, 3184, 311, 16, 188, 680, 1015, 2332, 37598, 16, 286, 23156, 2967, 23156, 590, 452, 587, 407, 1479, 2120, 1726, 1017, 321, 14, 353, 603, 323, 368, 3341, 2696, 3912, 668, 37598, 248, 282, 407, 3133, 1837, 8065, 476, 16, 5613, 3184, 9441, 826, 670, 311, 5726, 1181, 311, 16, 29, 274, 29, 5246, 884, 944, 254, 16, 1056, 1830, 2075, 286, 311, 188, 7728, 39348, 272, 311, 532, 8738, 826, 1091, 841, 254, 465, 4544, 3141, 21563, 14, 10801, 6702, 2701, 16, 29, 2709, 9630, 16, 14, 807, 1789, 12347, 1970, 1125, 7570, 348, 4189, 939, 3915, 14, 368, 248, 71, 748, 4544, 1578, 314, 3171, 286, 14, 1970, 3483, 254, 15919, 4544, 16, 476, 472, 11362, 432, 286, 3446, 3688, 1837, 59, 254, 16, 4923, 2886, 769, 7389, 341, 16, 416, 353, 2486, 249, 282, 603, 939, 3814, 4544, 2601, 1061, 4544, 248, 1062, 432, 2774, 353, 348, 1837, 1038, 843, 417, 1056, 248, 1842, 596, 403, 1303, 2211, 9795, 16, 5070, 432, 274, 328, 16, 11, 343, 10228, 5630, 348, 4544, 1668, 16186, 282, 4504, 4544, 2622, 7389, 327, 2967, 3482 ]
[ 1, 1017, 30374, 276, 417, 587, 852, 10651, 6013, 348, 11295, 276, 18, 286, 321, 457, 481, 2033, 24, 5415, 254, 29307, 21140, 327, 35, 2071, 14204, 254, 19349, 937, 1583, 390, 8069, 843, 8686, 2165, 587, 14745, 67, 380, 27, 272, 6093, 747, 1395, 188, 353, 338, 250, 2591, 7819, 368, 7966, 432, 274, 286, 311, 403, 254, 3624, 3, 4684, 13827, 12173, 274, 15, 10827, 6013, 282, 2586, 6906, 274, 532, 27, 1002, 21140, 17318, 390, 1926, 188, 67, 42946, 1596, 4214, 33, 43096, 188, 258, 25, 1735, 2662, 25, 32609, 3812, 434, 5309, 6321, 300, 11129, 13805, 28156, 276, 368, 7178, 27, 16, 417, 3683, 21140, 338, 37035, 321, 10330, 536, 74, 771, 29, 369, 3, 573, 254, 5243, 16, 16, 7639, 2766, 5195, 5431, 27, 4426, 573, 2728, 852, 6879, 7125, 276, 9526, 32108, 274, 37169, 418, 7134, 785, 6013, 30831, 13242, 14, 16, 46764, 15, 16714, 311, 274, 6906, 317, 6987, 311, 13669, 16, 2522, 6906, 1318, 272, 4043, 1062, 10972, 16, 33, 8560, 274, 286, 4010, 3148, 1585, 17359, 7708, 27, 1602, 19760, 274, 390, 9689, 248, 1503, 29093, 10270, 1547, 2807, 970, 807, 7582, 4923, 390, 349, 15657, 368, 20880, 5940, 942, 8573, 274, 7034, 282, 6013, 16, 2989, 10651, 16, 3526, 188, 286, 14, 25763, 27, 28, 8641, 2488, 248, 8840, 1038, 282, 14204, 3834, 948, 16, 3944, 1068, 254, 10651, 286, 310, 328, 274, 16073, 274, 3768, 254, 2086, 387, 27, 16, 10244, 380, 15688, 14, 254, 0, 254, 13797, 1102, 621, 274, 19803, 10, 14, 16, 368, 33618, 1036, 1581, 5146, 286, 7582, 16864, 2207, 9333, 274, 633, 9, 319, 254, 3004, 6013, 27, 6013, 11769, 3443, 286, 17131, 2363, 248, 16, 14, 15, 14, 29, 3316, 21140, 16, 1575, 13440, 274, 348, 510, 418, 669, 328, 274, 338, 18920, 27, 368, 14, 44357, 1241, 3237, 21140, 633, 353, 1074, 254, 360, 248, 16, 2653, 282, 615, 3, 45370, 22391, 348, 254, 331, 21140, 399, 593, 432, 2997, 5700, 324, 17318, 1395, 272, 2803, 310, 272, 610, 1782, 43333, 1305, 6915, 512, 1268, 695, 254, 380, 273, 13669, 11751, 2896, 1503, 12969, 8973, 254, 398, 40465, 16, 8126, 378, 254, 6081, 22, 43096, 380, 436, 274, 368, 40465, 14, 758, 86, 2586, 6013, 18, 81, 380, 813, 4178, 74, 2591, 6041, 46892, 286, 633, 311, 24, 4184, 3006, 338, 45061, 16, 16, 4242, 7028, 25050, 5692, 852, 2896, 3605, 10272, 14, 16325, 16, 286, 7925, 286, 7465, 2087, 14, 248, 436, 16, 1479, 12725, 24, 353, 4376, 13242, 13, 11092, 33319, 1334, 317, 282, 4351, 3737, 276, 8521, 1218, 286, 16, 1042, 309, 15538, 27, 14, 17075, 276, 254, 286, 327, 4906, 2426, 343, 0, 330, 5540, 310, 274, 5431, 14, 10316, 14, 13455, 390, 807, 44342, 16, 5243, 4244, 16, 3056, 494, 3314, 9526, 16, 3571, 27, 380, 3858, 16, 274, 2131, 1735, 9375, 16, 20002, 286, 756, 16, 21966, 286, 368, 12188, 254, 407, 1286, 15897, 443, 13455, 14, 368, 6013, 6879, 254, 960, 368, 1499, 6013, 687, 309, 457, 29, 684, 282, 387, 6248, 7125, 4906, 317, 286, 4474, 19, 42476, 18017, 6013, 286, 16, 17131, 21859, 3006, 671, 1162, 13669, 13455, 6013, 42564, 13669, 6683, 276, 286, 28, 380, 443, 368, 8824, 6780, 274, 348, 3, 21140, 2514, 331, 311, 353, 6013, 641, 311, 406, 573, 19, 18072, 15, 282, 29807, 4657, 311, 28390, 16073, 11098, 2133, 251, 11058, 368, 7748, 6304, 14, 2563, 286, 4307, 311, 2365, 368, 3199, 512, 436, 6327, 5565, 10651, 272, 27546, 72, 7169, 20398, 32108, 2207, 16657, 22423, 368, 274, 407, 307, 1427, 1318, 7582, 418, 2213, 11058, 18072, 1640, 570, 374, 743, 2155, 18434, 16, 274, 274, 8158, 6879, 1181, 7134, 272, 2247, 1735, 19715, 633, 272, 380, 46003, 16, 573, 555, 457, 5537, 8055, 16, 35458, 16, 633, 436, 1336, 19568, 2482, 28, 6453, 1926, 16, 272, 29397, 654, 2057, 2033, 13455, 401, 14204, 2629, 2314, 254, 27, 7434, 12498, 387, 286, 374, 327, 328, 10651, 2512, 1250, 19, 15170, 254, 642, 254, 35, 27, 18854, 650, 5356, 3585, 286, 21662, 4117, 22130, 4851, 21140, 3074, 254, 254, 9941, 729, 1269, 1427, 452, 3525, 6741, 580, 12794, 1961, 286, 9283, 254, 960, 16, 10452, 27, 24652, 24652, 10651, 403, 1735, 4945, 375, 22, 1412, 1673, 4250, 29543, 286, 16, 11659, 274, 1516, 390, 3051, 2213, 31920, 254, 265, 15027, 593, 5854, 6879, 311, 618, 7125, 274, 4652, 2960, 618, 1090, 251, 8491, 387, 436, 21140, 276, 331, 12587, 603, 14569, 18017, 1358, 390, 274, 10280, 9941, 6330, 23652, 3335, 597, 254, 26395, 328, 29, 633, 274, 434, 14, 3132, 4002, 44059, 282, 13669, 273, 16, 6879, 5838, 14, 5258, 3673, 27914, 13455, 309, 1466, 1141, 16, 5293, 15, 254, 14, 16, 254, 2371, 1318, 18, 14, 411, 9199, 31198, 11843, 740, 11295, 6013, 330, 4540, 18072, 7582, 30996, 1308, 3981, 5808, 14204, 16073, 5846, 19649, 11, 532, 32741, 2131, 452, 14, 8216, 633, 2989, 11479, 254, 272, 6948, 675, 188, 3135, 6037, 1845, 16, 16, 1735, 46003, 811, 10, 328, 1921, 19, 67, 2019, 889, 348, 11058, 343, 274, 16263, 613, 14, 4136, 403, 1444, 756, 13924, 747, 30346, 7748, 6879, 29397, 7639, 274, 14, 2213, 613, 16, 20071, 311, 7748, 1735, 3310, 274, 1318, 1999, 343, 282, 8650, 5641, 32760, 6013, 2019, 254, 26309, 603, 14204, 13455, 18, 254, 32108, 16, 1090, 22, 942, 16, 8216, 33364, 311, 436, 5940, 407, 3290, 286, 16, 4657, 3, 29, 17318, 5166, 18350, 444, 6013, 13455, 3690, 367, 16, 633, 29, 1062, 457, 13279, 353, 254, 6759, 360, 3479, 7125, 25, 23156, 19585, 4861, 3017, 27, 1926, 9, 3405, 31050, 22996, 13669, 19699, 188, 286, 248, 9289, 2705, 21140, 801, 7134, 1926, 1045, 1819, 11758, 1205, 254, 309, 751, 16, 12957, 5813, 338, 10651, 10651, 2666, 6813, 6013, 368, 328, 14204, 16, 286, 6879, 16, 274, 286, 254, 310, 2317, 420, 6879, 29100, 418, 1308, 28, 311, 26538, 4013, 1735, 368, 16, 9, 9564, 1748, 13669, 13669, 254, 2066, 3567, 33489, 2843, 436, 4242, 2705, 2591, 14, 22111, 286, 6879, 33, 2378, 8730, 3475, 496, 26861, 1735, 4474, 3768, 2817, 542, 10, 45061, 248, 5942, 13669, 963, 416, 3416, 6013, 16, 188, 7673, 11249 ]
[ 1, 274, 2838, 362, 15643, 282, 1619, 5532, 4426, 3073, 403, 977, 2345, 2341, 16, 34825, 3065, 343, 2633, 625, 2314, 282, 14, 432, 29, 4796, 188, 248, 188, 1427, 188, 2955, 889, 266, 0, 3189, 27770, 16, 8680, 15, 14631, 12969, 1460, 8298, 4750, 22270, 7894, 286, 14, 14, 45588, 248, 403, 5867, 248, 665, 6623, 14, 13819, 9241, 14, 37345, 13819, 380, 403, 14, 6623, 633, 15754, 360, 44312, 282, 43437, 1819, 16, 26703, 23233, 14, 14, 188, 3124, 286, 2731, 286, 254, 14, 19335, 18632, 3416, 328, 188, 7753, 16429, 272, 188, 368, 276, 835, 13803, 276, 4832, 16899, 3046, 14, 16, 282, 21385, 26618, 327, 16, 32332, 35416, 843, 597, 4257, 254, 3692, 686, 23042, 19360, 2016, 16, 6313, 7274, 39801, 10408, 11144, 1353, 9830, 390, 1878, 254, 38, 16, 343, 1078, 13220, 324, 286, 19459, 2342, 963, 2633, 80, 1078, 834, 5509, 1078, 14, 18, 4589, 24204, 1218, 276, 2160, 67, 633, 14, 10473, 13220, 9241, 3883, 2426, 12969, 254, 711, 2556, 11144, 188, 18, 5370, 10186, 1078, 2065, 19360, 188, 961, 13174, 276, 428, 254, 188, 23941, 3065, 3065, 286, 188, 254, 35, 38181, 834, 14, 2633, 390, 4576, 609, 706, 580, 1033, 14, 39411, 2251, 6957, 561, 16, 23042, 282, 14, 188, 276, 324, 286, 28, 587, 328, 1862, 11172, 4467, 5867, 38181, 16, 14, 6237, 17312, 14, 21385, 5370, 4282, 248, 188, 67, 334, 633, 13819, 254, 6454, 1482, 0, 11899, 772, 266, 3692, 2984, 282, 432, 13819, 669, 8939, 2029, 188, 368, 587, 14, 706, 21071, 1180, 390, 417, 790, 23233, 2633, 13220, 390, 258, 41, 801, 624, 6450, 1683, 15643, 372, 343, 16, 1380, 26317, 1064, 3021, 1878, 2426, 2633, 5575, 254, 4856, 4400, 9241, 286, 303, 21729, 248, 11370, 1078, 14, 2187, 15445, 16532, 20238, 42412, 633, 276, 11399, 248, 254, 11673, 1903, 1934, 323, 16, 14, 1321, 2731, 4064, 4619, 826, 2586, 16, 37133, 343, 750, 18, 1683, 286, 668, 2462, 1281, 818, 15111, 4611, 663, 486, 16, 25265, 7325, 9763, 587, 5158, 1427, 16, 5370, 2718, 11174, 3124, 835, 16, 254, 14, 8873, 750, 282, 0, 311, 1514, 188, 802, 2633, 29642, 188, 30231, 254, 6755, 608, 801, 21385, 12068, 5867, 6211, 24544, 924, 23941, 17312, 343, 14, 1083, 3083, 27880, 14854, 1878, 16, 43, 1460, 23042, 286, 4343, 311, 403, 6957, 390, 1806, 16, 403, 7885, 2708, 3227, 14452, 254, 254, 12969, 368, 47277, 303, 17312, 2023, 14, 22586, 11100, 3834, 282, 37133, 25774, 502, 11048, 9315, 7, 14, 4589, 1209, 6454, 254, 13819, 3171, 274, 311, 16758, 12431, 15, 248, 688, 432, 2165, 26541, 69, 1245, 18, 432, 4933, 3481, 2824, 18487, 188, 2069, 2160, 12331, 668, 343, 16, 14, 432, 188, 254, 8778, 30684, 254, 248, 34956, 368, 2958, 390, 4301, 254, 21385, 668, 1689, 4306, 188, 2251, 3236, 14, 343, 9241, 2426, 16768, 188, 41, 353, 975, 0, 19360, 13220, 324, 14, 367, 274, 390, 390, 11144, 14, 626, 37133, 16, 5039, 254, 276, 343, 43943, 390, 16637, 32325, 624, 19147, 3, 16, 3444, 274, 286, 276, 37345, 27475, 12254, 274, 2556, 254, 3909, 23233, 11144, 476, 1806, 5889, 16, 22972, 14, 0, 1460, 2035, 3143, 14, 1042, 4759, 834, 37345, 274, 3046, 254, 1982, 28, 1334, 8680, 11434, 7325, 587, 751, 15, 254, 286, 38181, 16, 16, 3, 7103, 16, 7, 834, 758, 3, 16, 273, 353, 900, 286, 11434, 16534, 3489, 324, 14, 14, 6313, 1232, 16, 3465, 834, 27880, 2858, 293, 5194, 9927, 1689, 1514, 13819, 16, 750, 8591, 44292, 254, 9830, 22053, 13819, 5897, 641, 2251, 1878, 254, 9720, 14, 9364, 633, 5980, 254, 11100, 403, 88, 26317, 4698, 16766, 13819, 2160, 330, 4593, 663, 3821, 8010, 8195, 2522, 14, 9241, 1982, 38181, 4038, 960, 5883, 13894, 276, 9034, 286, 14, 6313, 286, 16, 254, 46397, 380, 26773, 254, 436, 37133, 18752, 16, 282, 2524, 248, 360, 4708, 360, 13220, 2556, 29, 19040, 27770, 834, 706, 390, 16479, 26317, 14, 16, 15165, 1193, 2633, 3073, 324, 1878, 7208, 27178, 17397, 4782, 668, 11, 3974, 11973, 13220, 273, 2382, 1247, 1516, 1281, 368, 2622, 273, 30495, 328, 29057, 286, 7, 6409, 3834, 22270, 16, 1078, 2251, 188, 15, 328, 1640, 2705, 2633, 32325, 16, 4126, 1920, 772, 8267, 495, 3227, 4590, 1041, 188, 1078, 328, 686, 436, 1722, 2426, 1312, 21234, 2160, 3808, 3752, 23233, 11476, 5120, 5210, 41782, 14, 274, 324, 10083, 8832, 1683, 403, 390, 7688, 188, 3292, 14, 14, 274, 3073, 867, 310, 1268, 14, 248, 254, 3073, 248, 2628, 254, 324, 1213, 580, 282, 3513, 188, 1683, 1064, 276, 759, 10544, 327, 13819, 37133, 383, 14, 303, 12254, 11791, 254, 4504, 188, 18487, 1064, 1144, 2633, 18487, 286, 254, 2426, 18, 772, 4421, 9241, 5370, 1290, 510, 12299, 743, 254, 624, 16, 3399, 282, 286, 13290, 0, 16, 743, 479, 255, 274, 593, 9720, 14, 16758, 1714, 67, 889, 1574, 1091, 576, 286, 276, 1157, 188, 2148, 16, 33, 21385, 539, 254, 1664, 282, 303, 3609, 1516, 14, 14, 1788, 360, 11434, 3808, 18, 529, 590, 6458, 9086, 772, 1281, 248, 254, 6450, 3808, 16, 835, 254, 286, 580, 750, 14752, 282, 18, 248, 274, 311, 772, 4850, 3198, 16, 1495, 19335, 254, 403, 2520, 254, 16, 839, 11943, 19360, 13653, 367, 254, 750, 15, 1694, 7670, 5867, 248, 2347, 21932, 476, 360, 248, 4301, 403, 3170, 254, 407, 403, 24295, 8895, 88, 11791, 282, 276, 254, 11045, 6592, 1078, 254, 6617, 587, 282, 6410, 3073, 772, 16, 4713, 85, 254, 615, 3495, 328, 35, 274, 286, 248, 6623, 43, 37316, 1860, 8760, 23941, 30741, 330, 18, 388, 403, 274, 2165, 286, 22303, 1928, 432, 13875, 13819, 2838, 839, 286, 3989, 273, 561, 3808, 23181, 5370, 16, 16, 7325, 16102, 19867, 282, 34825, 2963, 14, 44325, 16, 254, 17336, 274, 15227, 618, 45743, 282, 1993, 772, 1878, 846, 5867, 324, 1078, 276, 343, 21134, 274, 2104, 818, 29814, 6313, 3510, 4503, 486, 16, 16, 8634, 276, 23042, 729, 282, 46587, 13819, 2165, 771, 5509, 5575, 37316, 3692, 281, 9241, 4061, 27475, 2556, 17751, 2624, 286, 23462, 368, 20238, 273, 5120, 11883, 16, 188, 248, 1878, 5419, 327, 11637, 11546, 28, 16, 2341, 20957, 1064, 1048, 1714, 254, 11434, 11434, 328 ]
[ 1, 20, 254, 17932, 36428, 14138, 26815, 282, 5832, 452, 16, 839, 357, 3458, 23, 390, 254, 3964, 28, 16, 10308, 16, 1637, 6742, 14714, 6250, 5374, 1015, 47, 6250, 495, 3527, 85, 17, 10308, 1842, 34236, 16010, 11, 18597, 26967, 6230, 27197, 2701, 403, 188, 480, 4576, 2554, 4565, 3677, 416, 480, 3430, 53, 16, 16354, 14714, 14, 53, 2181, 14, 21, 19, 18, 18, 11, 16, 14714, 23, 17136, 188, 1594, 29205, 1382, 587, 399, 26, 314, 15269, 22, 1041, 286, 839, 28490, 587, 328, 27497, 21, 16, 336, 16, 286, 5374, 625, 6196, 655, 21, 40947, 1041, 9927, 19, 16, 2554, 683, 14, 10922, 24593, 20, 14714, 28571, 338, 26, 5650, 17136, 480, 480, 254, 3677, 44061, 28, 37228, 1041, 16, 1291, 286, 1547, 476, 2367, 324, 16, 228, 1773, 1444, 39458, 9498, 14, 1219, 6143, 1212, 38584, 16, 28, 1038, 500, 2196, 1856, 39088, 5832, 14138, 20, 24, 7802, 802, 6037, 42038, 24, 18, 305, 11, 311, 21190, 18114, 15645, 5832, 1024, 19, 2150, 36243, 305, 11, 272, 23948, 772, 16354, 254, 34315, 8270, 625, 1450, 7299, 3551, 254, 19, 16436, 13011, 18, 1146, 14, 21652, 1800, 9498, 17136, 21, 695, 1110, 3961, 15075, 597, 254, 2453, 23505, 1286, 1336, 286, 1391, 1017, 452, 40947, 13203, 4764, 772, 314, 5362, 3677, 272, 7802, 34035, 6592, 17, 20255, 248, 27829, 305, 390, 305, 276, 11308, 1143, 188, 286, 18114, 22, 22373, 15516, 757, 8782, 1494, 10308, 20255, 12638, 28162, 85, 3215, 13339, 683, 4817, 3472, 16010, 305, 16121, 328, 314, 172, 1360, 10308, 6742, 1450, 14, 19, 9716, 939, 1062, 29377, 24, 29205, 10308, 277, 1525, 2150, 7802, 26967, 625, 11, 286, 29205, 11, 19265, 1923, 1811, 2808, 16, 353, 16, 7634, 22, 16234, 380, 2701, 17136, 31386, 28, 15554, 314, 28, 830, 324, 19, 25480, 4718, 19434, 314, 747, 19, 286, 11, 274, 889, 1209, 380, 40908, 3184, 14, 343, 1330, 20, 188, 26815, 314, 314, 390, 7299, 11285, 428, 19, 2519, 39458, 5832, 839, 839, 4168, 16, 21181, 286, 282, 15465, 35633, 2181, 2181, 254, 9571, 1887, 4506, 324, 31780, 2640, 2752, 343, 15465, 18597, 314, 22, 264, 629, 17, 13792, 10258, 26, 1209, 16, 14670, 2640, 12250, 17, 15, 5367, 1755, 40159, 481, 7299, 1920, 36037, 555, 834, 16010, 3290, 1385, 19, 314, 1026, 17, 34035, 15, 20, 16, 2497, 14670, 2519, 3430, 519, 16, 10308, 1360, 954, 7528, 5089, 1663, 1450, 6062, 387, 46046, 17, 670, 11146, 17, 15740, 26967, 42778, 2931, 643, 10147, 1318, 3133, 35, 3709, 374, 10359, 46, 248, 248, 338, 390, 254, 500, 633, 2701, 39048, 8358, 188, 265, 16, 587, 7362, 40908, 1892, 500, 1247, 13102, 4356, 834, 2554, 40156, 7299, 20, 4325, 314, 334, 25, 1464, 16, 1305, 34035, 16, 40, 6742, 480, 14678, 338, 23479, 3458, 9620, 73, 264, 4237, 1450, 401, 2640, 26, 1800, 21652, 2181, 27137, 16354, 11, 26815, 695, 2834, 188, 18, 390, 7250, 4817, 14, 1305, 314, 19, 3277, 14, 481, 368, 42038, 5832, 633, 265, 14, 6721, 17, 2450, 26815, 16, 14714, 1800, 286, 26815, 1840, 1391, 428, 286, 747, 939, 28, 2916, 324, 1269, 324, 39458, 4083, 38993, 10504, 15, 11917, 1571, 1219, 1269, 10187, 29618, 22, 16432, 254, 1265, 27829, 939, 21607, 25, 248, 265, 3709, 3189, 3215, 6037, 3518, 2718, 274, 343, 16, 254, 286, 21, 10308, 23972, 40908, 16, 248, 368, 3184, 388, 19, 254, 282, 6738, 480, 17, 282, 1796, 2805, 1571, 9229, 311, 34583, 495, 3551, 839, 401, 1393, 314, 5832, 53, 274, 17, 6681, 188, 19, 46151, 2478, 6592, 31386, 9915, 480, 286, 343, 401, 390, 34035, 311, 16, 17136, 286, 15, 14, 274, 34035, 324, 74, 4436, 3472, 8342, 311, 19, 624, 587, 1574, 14, 82, 5832, 14, 640, 21, 85, 500, 10308, 274, 33351, 16, 2916, 22, 16, 39458, 15, 17136, 5845, 250, 360, 665, 354, 2354, 14, 2554, 36243, 27829, 2960, 1354, 254, 73, 355, 2519, 834, 1157, 5671, 265, 3527, 428, 14714, 1800, 330, 500, 282, 11659, 14, 939, 655, 655, 3512, 4715, 1520, 2354, 607, 1708, 4437, 41919, 16, 2354, 16, 10308, 16, 17, 665, 305, 3677, 188, 4237, 31780, 34035, 254, 1811, 401, 10527, 16, 1393, 10385, 27248, 53, 314, 1336, 14714, 28162, 3709, 250, 4856, 16, 14195, 254, 10548, 655, 11169, 1062, 314, 14, 2354, 11078, 28162, 16121, 839, 4356, 321, 25981, 34315, 1455, 14, 2478, 3672, 8678, 10147, 248, 2004, 13231, 1800, 3175, 20, 7528, 16354, 4343, 7299, 314, 1640, 17, 5832, 343, 670, 7519, 17, 31780, 15, 5832, 500, 276, 9590, 16, 1800, 12486, 3527, 248, 26815, 188, 16432, 31780, 17136, 324, 73, 1640, 10274, 248, 3184, 7604, 286, 26967, 480, 2640, 23089, 1456, 2354, 243, 6136, 188, 22, 286, 20330, 4237, 248, 633, 368, 2150, 2478, 1773, 16, 328, 11, 481, 73, 14, 813, 16642, 4576, 254, 378, 17136, 15, 14, 2276, 2408, 3527, 8075, 10178, 14135, 4237, 248, 276, 5406, 17141, 41919, 34035, 16, 834, 188, 85, 276, 324, 73, 533, 15554, 4214, 360, 338, 188, 1661, 343, 29166, 428, 10308, 3917, 6534, 6666, 286, 28, 5650, 16, 282, 16, 254, 16, 7604, 5832, 265, 3901, 10548, 510, 41511, 30691, 22, 5150, 13521, 481, 839, 28, 368, 555, 2057, 248, 30126, 286, 4208, 500, 624, 597, 480, 3672, 39458, 8011, 12509, 27197, 4237, 5832, 6196, 434, 4237, 407, 286, 4919, 2942, 14714, 305, 2181, 23948, 282, 17, 254, 11, 16642, 2025, 16, 327, 21, 282, 34721, 1663, 2546, 532, 11329, 14, 10922, 264, 1364, 328, 188, 29205, 286, 248, 500, 188, 10308, 1062, 1041, 14714, 5832, 10854, 9571, 1800, 28, 500, 26815, 14, 323, 17136, 248, 2435, 16, 29746, 21, 18934, 1219, 324, 436, 254, 500, 481, 188, 12509, 7461, 428, 6742, 3672, 14, 16, 10308, 270, 254, 16642, 16, 428, 2181, 286, 305, 40, 954, 480, 23205, 1482, 7639, 2427, 16114, 2545, 19, 254, 40908, 353, 353, 188, 188, 25552, 2150, 3184, 12507, 625, 1649, 15695, 282, 39458, 28, 19, 1062, 44, 10008, 2808, 22511, 17, 500, 428, 3471, 53, 25, 495, 15, 248, 5671, 17, 1450, 53, 16, 5832, 73, 3184, 17, 1755, 327, 2682, 500, 1455, 629, 2450, 1394, 11023, 10504, 1247, 1525, 276, 16354, 434, 11, 3673, 1733, 7588, 378, 305, 1837, 695 ]
[ 1, 63, 4623, 188, 67, 4365, 2360, 63, 82, 684, 17723, 10, 6185, 188, 1819, 2093, 426, 7384, 477, 4321, 14513, 188, 21787, 65, 3933, 10, 575, 6534, 407, 11, 324, 188, 65, 744, 426, 75, 188, 261, 40341, 5, 69, 40341, 4420, 16, 50, 10, 79, 5141, 276, 10, 14634, 65, 40341, 23804, 498, 1358, 40341, 324, 684, 2855, 65, 5310, 26491, 550, 65, 2273, 7217, 1296, 1227, 14, 276, 875, 254, 28, 539, 5911, 210, 34671, 188, 73, 324, 791, 5, 18349, 17512, 254, 1591, 36, 477, 4210, 1911, 647, 498, 755, 9851, 684, 2360, 9764, 362, 2273, 28, 188, 63, 883, 1476, 374, 61, 38, 10, 20082, 79, 47859, 90, 31, 40341, 1220, 188, 16242, 1551, 79, 14024, 3347, 70, 8710, 276, 269, 875, 314, 647, 3933, 79, 14, 44302, 1289, 65, 3933, 1476, 870, 16, 80, 188, 79, 82, 684, 65, 4905, 16, 19, 477, 1369, 65, 1034, 11, 65, 3018, 324, 79, 4321, 28531, 5141, 2375, 188, 10, 647, 28307, 1358, 65, 4623, 79, 65, 27921, 956, 3270, 11, 10, 12048, 40602, 10, 36, 17723, 6135, 80, 498, 188, 65, 3578, 5076, 14, 65, 17059, 36, 276, 1689, 1743, 22934, 17512, 65, 2759, 9409, 43245, 338, 10, 426, 65, 65, 4141, 286, 65, 29916, 14, 32931, 2093, 25072, 22, 14, 10, 684, 188, 2063, 434, 883, 16, 1160, 2273, 11743, 876, 2360, 26169, 11, 1911, 2192, 16934, 2385, 65, 6260, 26491, 276, 84, 16242, 16, 3116, 10, 16990, 2719, 1713, 378, 16, 7384, 1358, 31, 2360, 1210, 1358, 65, 28307, 1369, 285, 188, 1160, 79, 647, 8268, 2512, 65, 188, 79, 14, 11916, 248, 14513, 65, 543, 4365, 321, 65, 870, 3018, 4321, 188, 684, 19, 188, 774, 6, 870, 16, 65, 188, 603, 324, 4338, 603, 5401, 804, 477, 31111, 88, 380, 324, 2360, 15, 188, 477, 426, 61, 499, 10997, 16, 875, 3933, 1103, 8268, 1195, 7384, 2133, 12048, 426, 188, 188, 2093, 10, 67, 399, 14, 70, 65, 188, 65, 883, 1146, 684, 88, 324, 188, 16, 18, 67, 188, 2295, 11702, 188, 188, 3933, 65, 16, 2360, 365, 2617, 2007, 31, 29916, 29916, 498, 603, 18, 14018, 188, 10949, 15713, 2273, 15386, 10505, 1210, 9867, 16, 44302, 12047, 18349, 956, 31111, 40341, 348, 3457, 13711, 875, 65, 65, 614, 4321, 65, 50, 647, 1878, 758, 9, 61, 1465, 5868, 477, 188, 31, 16, 2713, 63, 82, 11702, 16243, 17283, 6534, 65, 40341, 69, 8064, 4113, 17112, 188, 2360, 704, 3512, 67, 14, 26952, 16, 380, 1369, 3434, 684, 2273, 28531, 1262, 27921, 587, 65, 61, 647, 77, 188, 28531, 13711, 65, 11960, 11, 1369, 348, 2224, 2273, 1358, 188, 16, 69, 84, 11901, 188, 11960, 8790, 2273, 40341, 40425, 362, 15386, 7173, 378, 2093, 426, 1014, 426, 11, 3434, 16, 1591, 17, 188, 63, 20, 8794, 188, 4493, 4493, 1227, 6917, 276, 3195, 2273, 5, 65, 426, 1172, 23, 3499, 1067, 80, 65, 0, 82, 311, 65, 498, 88, 23496, 543, 3457, 188, 88, 378, 1369, 40536, 426, 65, 4141, 875, 956, 9252, 286, 14, 314, 2360, 2384, 28, 2224, 188, 498, 17283, 47859, 16, 4321, 3542, 1358, 16, 603, 461, 11555, 1911, 9698, 31111, 18, 16759, 14, 1160, 1911, 65, 12048, 65, 3474, 684, 17723, 2273, 1460, 65, 4333, 550, 79, 10, 2093, 11, 3933, 399, 956, 426, 34125, 477, 188, 48, 90, 63, 14, 61, 9698, 1369, 2859, 684, 24982, 63, 90, 1358, 16, 79, 40341, 5141, 16, 48052, 1210, 5, 477, 3933, 1320, 2855, 11, 11, 13614, 14049, 65, 1599, 23876, 10621, 426, 10995, 47859, 31311, 16, 16, 2360, 188, 3753, 348, 65, 3512, 11960, 1369, 324, 3333, 24923, 28, 5050, 20855, 188, 188, 31896, 85, 14049, 31, 4321, 10, 1911, 65, 26, 65, 0, 14920, 1369, 28, 16, 477, 90, 75, 14513, 684, 426, 31896, 1146, 274, 1182, 55, 1911, 603, 10, 14796, 2290, 341, 24318, 11, 2273, 5141, 10544, 426, 31, 63, 47859, 12088, 61, 65, 5141, 684, 2192, 14, 426, 1465, 5911, 1160, 28, 1369, 12048, 276, 188, 28, 276, 477, 16769, 1465, 2250, 42115, 543, 10, 1911, 5141, 79, 684, 314, 65, 1551, 11, 1369, 314, 29916, 11960, 324, 79, 23074, 188, 15386, 6139, 5, 63, 65, 10, 61, 65, 61, 10, 1146, 65, 188, 4623, 2290, 6662, 1369, 380, 456, 65, 188, 684, 63, 188, 80, 365, 65, 13831, 883, 2360, 10, 61, 63, 254, 63, 55, 11, 4514, 1743, 461, 5141, 276, 10, 10423, 11033, 1254, 9200, 477, 248, 248, 44804, 260, 11916, 13831, 1146, 34671, 20, 188, 16, 5, 534, 883, 378, 85, 2295, 44302, 3195, 477, 61, 5287, 2360, 426, 31111, 4623, 1146, 1227, 80, 365, 188, 426, 65, 40341, 18, 5, 924, 12047, 1591, 11960, 40341, 3457, 10, 188, 248, 550, 378, 65, 188, 188, 1507, 3933, 17059, 20, 7673, 58, 499, 2384, 5, 79, 883, 47859, 324, 69, 477, 188, 188, 6534, 426, 4321, 70, 80, 5454, 34125, 3933, 2487, 28, 2295, 1369, 16934, 11, 10, 79, 1551, 543, 47602, 7771, 684, 16243, 55, 276, 188, 11, 17371, 362, 3933, 3933, 276, 1819, 870, 1021, 1246, 46946, 365, 3933, 65, 2360, 9409, 14796, 3069, 4321, 188, 370, 3933, 1094, 61, 13444, 1160, 21257, 75, 20, 12243, 2290, 1369, 564, 4321, 91, 15370, 2360, 11702, 1461, 1713, 21081, 1146, 65, 18, 341, 10, 79, 684, 2273, 65, 16, 86, 12243, 43647, 5489, 65, 436, 28, 426, 43, 11, 4321, 52, 21019, 63, 21452, 2790, 4640, 11836, 32218, 45032, 4623, 20864, 314, 426, 426, 956, 44302, 7910, 1065, 20, 3493, 426, 10385, 362, 75, 34125, 65, 65, 28307, 282, 684, 1160, 70, 3189, 16, 19, 17775, 11743, 5141, 2273, 1210, 477, 1822, 82, 16, 65, 23238, 31, 44302, 65, 285, 31, 2093, 684, 47859, 188, 26491, 6483, 188, 436, 378, 603, 956, 16, 20, 188, 684, 3453, 5, 14, 13213, 12048, 10, 4, 4333, 4333, 5735, 90, 27915, 16, 10, 684, 432, 188, 875, 40425, 5747, 1358, 65, 82, 68, 1067, 6149, 2273, 5868, 883, 63, 10621, 426, 16, 362, 2384, 1210, 16, 188, 2273, 684, 2224, 16, 11916, 23137, 26952, 2719, 61, 72, 348, 876, 188, 23876, 65, 8136, 42391, 5, 2224, 90, 426, 58, 5141, 6135, 477, 86, 28531, 1067, 1358, 2375 ]
[ 1, 254, 43199, 7021, 1196, 869, 11033, 427, 10518, 1067, 4523, 21257, 4005, 16, 931, 16202, 30238, 16, 4005, 5866, 7352, 347, 6198, 19, 1874, 1827, 274, 44438, 426, 647, 1990, 926, 1262, 1827, 4523, 6198, 801, 898, 11, 65, 82, 15313, 90, 65, 16, 16, 304, 324, 2360, 286, 6198, 2192, 10, 11187, 641, 31, 14057, 1077, 1827, 2069, 65, 21460, 434, 647, 7679, 347, 647, 883, 29, 477, 1544, 16, 1827, 61, 10, 426, 4172, 9252, 65, 28, 2796, 1827, 2127, 85, 6497, 426, 65, 4766, 44438, 11836, 2621, 18466, 343, 19, 44438, 366, 10518, 44438, 558, 65, 61, 43199, 61, 1196, 1827, 1827, 647, 4, 11, 61, 603, 16, 9102, 4005, 14, 65, 347, 5866, 1827, 426, 15285, 3102, 16290, 2796, 85, 7021, 3826, 2701, 14, 19, 11916, 7631, 7679, 7679, 43199, 5530, 14, 647, 16, 8249, 269, 341, 65, 65, 15285, 19, 274, 10518, 1401, 3399, 16, 61, 10, 3845, 314, 250, 804, 495, 34760, 11, 10763, 426, 63, 647, 19, 321, 1401, 719, 11, 31592, 347, 428, 347, 65, 63, 7679, 10, 46268, 926, 4005, 16, 63, 10, 21019, 16, 75, 61, 10, 43199, 1793, 82, 347, 4189, 1262, 1250, 1827, 12497, 38, 480, 14057, 564, 8967, 65, 18466, 2165, 647, 2432, 65, 4853, 626, 347, 926, 926, 16, 31, 63, 1004, 1465, 3399, 8249, 13473, 532, 43199, 4, 653, 11916, 16290, 82, 65, 85, 1077, 393, 65, 2796, 10, 426, 647, 46268, 10022, 27151, 922, 1623, 8369, 24097, 393, 16, 23130, 10, 20, 15394, 254, 19, 1286, 1339, 65, 19, 45323, 8249, 5313, 16, 3604, 5037, 558, 11920, 9102, 15652, 647, 65, 14, 706, 426, 3874, 8622, 314, 7444, 347, 2192, 647, 17743, 7679, 15285, 647, 14, 1800, 16, 7444, 3538, 16, 751, 3195, 14, 1077, 4092, 10, 65, 16, 16, 14456, 1210, 276, 3841, 1800, 5076, 14, 42224, 14, 647, 426, 2621, 3604, 2704, 65, 3399, 16, 426, 254, 653, 30354, 16, 1093, 15285, 647, 647, 286, 3185, 3177, 38943, 628, 13553, 15285, 47859, 7444, 79, 436, 4005, 12497, 14, 647, 15390, 1546, 16, 3399, 18, 1800, 1150, 426, 2224, 24424, 1827, 13427, 1477, 2704, 24097, 4005, 481, 11, 653, 15313, 426, 347, 3415, 12091, 3538, 784, 4080, 15285, 4, 647, 282, 16, 2409, 314, 5866, 32327, 1110, 8455, 61, 32327, 324, 269, 11911, 11, 338, 23, 44605, 65, 43199, 14, 5068, 1110, 85, 1262, 706, 2218, 65, 22, 20, 4005, 85, 10, 65, 11, 19, 5068, 10, 15313, 2224, 1003, 85, 65, 16, 4659, 65, 13553, 20, 653, 14, 16, 324, 10, 581, 82, 65, 743, 6545, 90, 11, 8324, 6483, 6198, 15313, 4523, 324, 30238, 26153, 24097, 8249, 647, 65, 3857, 31, 248, 14, 18466, 4005, 3399, 1827, 65, 2704, 20269, 262, 16, 647, 91, 286, 1110, 14, 4005, 647, 311, 889, 5866, 16, 3841, 11916, 16, 353, 2224, 16, 476, 933, 321, 1262, 314, 16, 248, 3538, 3102, 2224, 42224, 14057, 65, 449, 826, 581, 314, 11, 647, 470, 16, 1076, 839, 65, 82, 7638, 1015, 2224, 16, 14, 1339, 42224, 1827, 16, 314, 324, 1209, 11, 14, 314, 1874, 19, 10, 286, 10, 15285, 647, 706, 63, 4172, 65, 1827, 16, 14, 647, 338, 5068, 926, 65, 347, 42224, 2476, 24424, 3102, 2621, 1161, 90, 43199, 688, 10219, 1800, 534, 1256, 4172, 883, 1800, 1800, 24424, 1210, 562, 633, 426, 54, 3514, 393, 10763, 14, 19, 269, 65, 813, 2046, 1827, 16, 82, 4172, 2476, 10949, 15313, 1110, 1465, 477, 3102, 16, 3857, 2224, 82, 1077, 65, 85, 29773, 85, 1110, 4338, 1465, 4782, 647, 2224, 477, 41786, 2621, 3399, 61, 10, 2192, 4329, 8369, 2621, 14, 16202, 16, 63, 61, 14456, 65, 647, 1827, 4005, 1800, 926, 282, 45323, 1210, 269, 615, 426, 65, 16, 889, 338, 867, 1262, 82, 4523, 16, 274, 4005, 581, 75, 10763, 327, 248, 3604, 586, 61, 65, 9082, 1110, 311, 628, 348, 4623, 6198, 14, 2192, 82, 65, 19, 65, 647, 276, 16, 42224, 42108, 286, 18116, 248, 1210, 26153, 586, 14, 6106, 647, 426, 18116, 65, 2192, 647, 1160, 1800, 43199, 82, 1077, 254, 1465, 29113, 647, 65, 653, 65, 28, 82, 4090, 11, 2796, 32159, 1110, 262, 65, 804, 347, 5321, 63, 61, 426, 3604, 647, 926, 65, 304, 417, 2192, 40469, 11, 3874, 393, 6374, 65, 65, 1477, 76, 5912, 3857, 65, 1076, 8455, 3857, 7638, 477, 4005, 470, 28, 3656, 533, 647, 2868, 10, 9906, 82, 647, 63, 188, 3656, 85, 4288, 28, 393, 1408, 30238, 647, 495, 65, 1800, 14, 20, 276, 13553, 10763, 18, 4005, 23130, 1110, 15313, 82, 1125, 347, 61, 417, 926, 19, 328, 248, 713, 15394, 348, 1067, 10, 2123, 348, 65, 314, 24424, 258, 26, 2046, 804, 282, 264, 495, 532, 1150, 1827, 43199, 276, 23130, 276, 20409, 16, 403, 3399, 3857, 347, 15, 65, 265, 2224, 5053, 5076, 14, 1827, 3857, 449, 1262, 3415, 4338, 16202, 426, 1110, 647, 3102, 3195, 475, 539, 65, 10, 804, 321, 65, 922, 10, 30238, 16, 374, 254, 8866, 1827, 32159, 65, 3399, 3399, 4368, 3874, 647, 480, 647, 428, 470, 6780, 13553, 4513, 869, 10, 21, 756, 285, 24424, 353, 65, 19, 13, 46073, 1110, 45442, 8833, 1262, 6816, 647, 15313, 65, 1827, 2704, 337, 7679, 14, 14, 35629, 1250, 65, 836, 324, 449, 475, 1262, 4174, 1057, 16, 926, 2046, 11622, 46268, 3032, 434, 647, 44147, 7330, 426, 43199, 22388, 4005, 14456, 10, 282, 791, 2192, 10, 286, 16, 1612, 8037, 2123, 248, 926, 19814, 1244, 804, 2621, 338, 6198, 2224, 3857, 859, 14, 1465, 4796, 8249, 1209, 2063, 801, 24801, 2621, 1800, 426, 4965, 426, 265, 2123, 282, 13553, 91, 3485, 22, 16, 347, 647, 1076, 42224, 32055, 85, 16, 282, 477, 65, 2224, 321, 65, 3102, 276, 61, 3291, 348, 3468, 324, 14, 10, 10, 647, 65, 1262, 804, 65, 18613, 43199, 19, 65, 65, 14, 65, 14, 65, 347, 248, 6816, 10, 647, 452, 22395, 647, 11916, 3399, 922, 65, 16, 719, 455, 1339, 1110, 248, 1160, 647, 3576, 3538, 784, 1262, 61, 22388, 272, 5866, 282, 4080, 4005, 65, 926, 10, 65, 65, 3399, 4314, 729, 85, 24424, 347, 82, 1827, 8379, 13117, 2192, 9957, 1003, 2621, 470, 276, 85, 9300, 16, 3176 ]
[ 1, 311, 32595, 311, 3719, 3168, 597, 1268, 345, 8106, 1268, 869, 616, 3850, 56, 1441, 1997, 8745, 9, 7699, 45951, 520, 286, 563, 1441, 3837, 2003, 19310, 4893, 449, 387, 750, 394, 2575, 3089, 14, 3, 282, 254, 836, 188, 14, 14, 23604, 248, 388, 436, 12720, 2464, 580, 18258, 8579, 3673, 3338, 775, 949, 310, 23604, 282, 807, 282, 758, 274, 1887, 786, 13123, 607, 20101, 5103, 6708, 254, 802, 248, 1395, 282, 286, 3849, 928, 31772, 3015, 1037, 4947, 274, 321, 248, 1377, 432, 248, 274, 26393, 43, 1612, 1897, 343, 1916, 466, 16, 14, 347, 1952, 327, 310, 3544, 2731, 1502, 286, 327, 282, 8474, 1441, 311, 4098, 12509, 70, 1253, 434, 294, 8686, 248, 272, 928, 345, 684, 9, 1162, 14, 830, 432, 4607, 2871, 16, 1180, 16, 625, 3409, 188, 513, 4003, 1495, 14, 16, 15814, 327, 5245, 310, 596, 327, 28517, 9985, 188, 750, 403, 32843, 2225, 18808, 573, 4403, 254, 3470, 32214, 7334, 2980, 368, 6355, 533, 311, 5117, 26393, 353, 3, 713, 1334, 345, 18258, 1269, 3116, 18, 254, 3790, 14, 274, 30610, 38861, 28046, 3133, 417, 616, 625, 8395, 188, 248, 327, 13957, 15597, 928, 248, 2280, 321, 27133, 14, 248, 650, 282, 310, 21768, 3282, 8597, 1438, 16, 274, 12720, 273, 38861, 311, 328, 327, 1612, 14, 368, 282, 7830, 1822, 282, 1603, 479, 1931, 597, 37523, 14, 12252, 16, 2225, 3269, 248, 18, 4536, 311, 1767, 10218, 839, 286, 353, 624, 625, 41168, 1656, 3629, 56, 1619, 1205, 276, 16, 248, 5516, 512, 91, 254, 324, 1797, 327, 580, 324, 643, 348, 310, 282, 248, 5372, 758, 254, 2225, 254, 2675, 188, 3758, 9641, 14, 345, 370, 254, 30698, 407, 274, 188, 380, 40897, 21324, 324, 15422, 1789, 596, 16, 274, 26, 276, 286, 2104, 286, 35871, 279, 988, 3673, 6243, 23089, 250, 254, 14, 35780, 625, 248, 2875, 663, 328, 17741, 254, 5661, 188, 14, 16726, 14756, 301, 12720, 321, 24466, 2974, 16, 282, 2464, 24, 1480, 6331, 2824, 561, 248, 915, 1899, 43, 369, 5049, 2374, 11220, 3458, 1002, 670, 701, 1438, 20418, 9928, 729, 254, 2479, 85, 188, 852, 14199, 772, 39414, 188, 1268, 1668, 387, 321, 23722, 1102, 596, 670, 188, 8522, 839, 20151, 14, 33, 282, 18, 2117, 4704, 2102, 26862, 1041, 254, 3947, 807, 555, 20600, 13071, 16, 8521, 248, 3392, 1862, 1093, 9137, 3294, 27133, 14, 2427, 328, 10427, 5711, 16553, 309, 26393, 1102, 282, 23152, 14, 414, 274, 915, 2971, 274, 1143, 5158, 3139, 2225, 21, 747, 1130, 2712, 3849, 1827, 16, 22435, 3364, 276, 367, 286, 4422, 188, 282, 1848, 4317, 2225, 3065, 3032, 348, 3061, 452, 961, 867, 16, 1038, 1401, 254, 254, 615, 282, 276, 700, 282, 4150, 1125, 14, 801, 750, 327, 2969, 407, 1034, 1438, 328, 859, 515, 310, 2156, 10609, 14, 3051, 403, 650, 254, 16, 597, 693, 942, 369, 1106, 2421, 1063, 440, 731, 286, 5516, 949, 434, 353, 274, 254, 449, 338, 328, 1797, 343, 3377, 5475, 4747, 16755, 2858, 345, 321, 4, 1603, 188, 22118, 27669, 15, 16, 403, 248, 476, 3, 1848, 11336, 1245, 16, 327, 274, 286, 247, 328, 16, 360, 3256, 1501, 282, 28178, 327, 5522, 348, 749, 1304, 348, 188, 1336, 3156, 16, 2858, 1276, 448, 248, 721, 16, 328, 12093, 14867, 1603, 2575, 625, 310, 248, 2790, 1501, 309, 1594, 3260, 14, 14, 10046, 311, 669, 18258, 29474, 282, 188, 440, 25018, 2956, 440, 4, 14, 616, 27340, 14659, 28076, 7242, 368, 580, 390, 37306, 188, 701, 19530, 27804, 43, 387, 248, 4735, 301, 286, 311, 532, 3, 476, 16, 264, 5588, 22068, 16, 4580, 510, 452, 11182, 3673, 327, 4501, 42481, 4, 310, 28094, 324, 712, 1328, 3758, 4, 749, 5603, 369, 636, 9540, 436, 274, 254, 248, 743, 643, 1444, 915, 3780, 625, 4098, 4536, 254, 16601, 16, 636, 369, 14, 5916, 330, 16, 913, 16910, 282, 369, 2006, 12720, 7334, 254, 452, 12720, 274, 16, 1920, 650, 463, 254, 33290, 26975, 43, 14, 2280, 18023, 434, 13191, 2304, 1491, 254, 23108, 2292, 16, 3605, 12720, 2713, 417, 4424, 387, 273, 4856, 14, 8427, 1223, 254, 626, 3715, 16, 8686, 452, 3502, 188, 4, 4282, 328, 16, 573, 8621, 1141, 24972, 1722, 16, 625, 9315, 3925, 555, 16225, 4341, 276, 286, 11089, 13208, 324, 4890, 282, 274, 889, 188, 14461, 282, 26642, 12645, 869, 276, 580, 928, 1304, 16, 9781, 1797, 254, 1064, 23722, 2524, 616, 2515, 16, 626, 286, 3699, 3710, 587, 15, 1034, 6355, 14, 310, 8747, 5745, 286, 1037, 16313, 33, 274, 1340, 3462, 327, 282, 8157, 1037, 17493, 16, 1212, 343, 274, 2117, 4947, 327, 387, 1603, 641, 310, 14, 26393, 5475, 607, 2378, 939, 273, 345, 701, 5381, 248, 321, 16, 4214, 2560, 4264, 9985, 276, 286, 274, 188, 6774, 14756, 327, 455, 21820, 248, 731, 1438, 274, 1619, 8465, 3143, 915, 1782, 310, 4126, 15824, 6656, 272, 248, 1707, 286, 621, 254, 45951, 248, 36250, 22653, 2042, 9390, 14, 1062, 3681, 16, 3102, 79, 12433, 29559, 25018, 16, 2653, 8395, 286, 368, 20600, 403, 2245, 14, 25152, 4890, 327, 1304, 45720, 3083, 596, 327, 16, 343, 353, 286, 7228, 5577, 12433, 188, 25369, 21071, 248, 1533, 286, 28232, 1328, 1603, 7142, 254, 449, 747, 379, 2289, 6215, 618, 1260, 14, 417, 10060, 452, 1441, 14, 16, 12645, 749, 188, 16, 310, 276, 14, 276, 343, 1480, 250, 1703, 811, 8738, 15824, 2486, 4763, 1845, 9606, 360, 4, 43, 4400, 10609, 1499, 1055, 353, 10771, 4, 85, 1304, 0, 321, 369, 387, 11, 9791, 6350, 2104, 2646, 8738, 14, 5516, 286, 248, 807, 13191, 16, 434, 0, 15214, 440, 1782, 555, 5026, 16, 282, 248, 31461, 1377, 21747, 4424, 328, 321, 16, 369, 701, 12720, 2824, 4945, 188, 38975, 345, 2008, 1445, 14, 4590, 479, 286, 259, 2575, 2718, 1316, 2575, 731, 23722, 555, 327, 9985, 14, 328, 6106, 41168, 1887, 324, 679, 1703, 254, 16, 436, 368, 321, 6296, 1544, 27804, 2254, 10545, 368, 643, 14, 321, 345, 671, 254, 324, 276, 274, 14117, 328, 625, 14, 1970, 16, 2515, 6331, 1038, 248, 7613, 274, 254, 8708, 188, 368, 3338, 248, 314, 276, 276, 16, 1797, 5053, 4890, 750, 254, 282, 7699 ]
[ 1, 16, 360, 1583, 254, 3408, 4792, 888, 327, 1034, 16, 254, 1141, 188, 286, 1652, 807, 867, 276, 369, 2714, 934, 1362, 369, 671, 3124, 310, 17872, 16, 36205, 7970, 16, 390, 369, 915, 4774, 7560, 254, 597, 2515, 314, 310, 1603, 2499, 407, 16, 4652, 20545, 286, 5288, 5332, 310, 763, 618, 16, 324, 626, 274, 618, 4186, 1603, 311, 597, 16, 16, 1920, 663, 37595, 756, 16, 457, 16, 2181, 436, 1360, 15468, 276, 1041, 310, 86, 12506, 1689, 1848, 254, 20, 310, 9113, 1708, 11107, 310, 22064, 16, 16, 276, 597, 16, 327, 16, 8260, 417, 2778, 597, 310, 573, 338, 1318, 2976, 4667, 6107, 7650, 286, 1364, 2057, 282, 1056, 1382, 286, 1952, 369, 369, 561, 7053, 29982, 1181, 811, 276, 348, 2630, 39721, 1444, 532, 843, 2966, 811, 1063, 286, 1056, 369, 16, 360, 274, 2824, 13494, 1311, 274, 4112, 5582, 23298, 310, 360, 1382, 310, 8487, 16, 272, 1026, 276, 934, 19101, 811, 2714, 2118, 14106, 671, 671, 314, 801, 2634, 328, 15640, 360, 286, 276, 1242, 274, 10746, 7319, 310, 18070, 37595, 13494, 2666, 2013, 3847, 1887, 274, 16, 254, 274, 2876, 254, 254, 15027, 348, 282, 2640, 286, 310, 1594, 282, 403, 1664, 4264, 1205, 309, 1382, 188, 13537, 597, 11341, 7413, 387, 3400, 739, 5332, 1438, 2094, 2350, 86, 512, 39518, 3998, 286, 254, 597, 310, 5439, 1382, 353, 374, 8364, 479, 457, 5311, 282, 3428, 1755, 3124, 2514, 643, 254, 3703, 16, 561, 417, 4680, 310, 1623, 5044, 13900, 4128, 848, 2211, 310, 387, 596, 835, 4667, 254, 274, 353, 16, 4325, 637, 439, 573, 14932, 481, 7008, 6499, 1438, 576, 7052, 286, 813, 686, 310, 8260, 9729, 254, 16, 479, 369, 14, 513, 2630, 272, 3847, 1838, 3191, 188, 16, 1612, 811, 369, 510, 5582, 573, 2304, 16, 826, 310, 20396, 615, 324, 188, 348, 274, 328, 497, 16, 2640, 254, 254, 328, 310, 6051, 843, 286, 729, 254, 748, 618, 8202, 683, 13407, 2666, 2602, 19717, 4895, 19029, 802, 254, 9673, 188, 282, 13104, 16, 1063, 254, 327, 2211, 286, 248, 1668, 1515, 276, 254, 1652, 4822, 573, 16, 4285, 21693, 79, 310, 13307, 15, 2211, 1438, 327, 626, 457, 265, 2961, 327, 8707, 618, 286, 274, 39997, 16, 282, 457, 1110, 272, 369, 274, 939, 671, 745, 580, 343, 254, 1360, 14584, 650, 1223, 286, 830, 11179, 248, 254, 254, 9706, 1181, 37595, 254, 669, 1920, 282, 29982, 6400, 563, 7004, 618, 1824, 1012, 254, 1480, 282, 643, 1733, 4905, 254, 16, 4212, 16, 497, 6214, 343, 2630, 597, 16, 254, 5288, 3206, 1012, 596, 13537, 889, 977, 6173, 1311, 597, 11477, 14148, 6438, 713, 2630, 276, 1360, 5288, 16, 432, 369, 597, 729, 17170, 35343, 37595, 369, 580, 29303, 626, 561, 248, 86, 1952, 16, 328, 282, 13229, 801, 1863, 2714, 1444, 254, 310, 1277, 618, 1143, 3155, 593, 380, 5288, 1515, 2956, 11982, 369, 310, 2328, 327, 2211, 188, 6956, 1034, 671, 16, 14, 8195, 37595, 328, 573, 944, 3400, 16, 497, 1026, 254, 310, 310, 7823, 254, 254, 348, 11213, 743, 327, 1330, 14, 8195, 369, 399, 307, 6400, 3906, 16, 1495, 3428, 369, 1438, 13900, 387, 188, 16, 5044, 457, 254, 11732, 254, 19274, 310, 321, 13229, 2824, 7023, 9568, 561, 369, 486, 254, 1144, 436, 321, 311, 16, 4590, 801, 801, 4321, 10746, 254, 713, 1919, 561, 254, 729, 11473, 188, 963, 1583, 3400, 282, 5288, 457, 282, 618, 274, 28459, 254, 1410, 5667, 801, 17339, 324, 5332, 1887, 4251, 2790, 6979, 188, 1408, 5252, 310, 254, 286, 23807, 3622, 4400, 7556, 980, 2391, 23827, 16, 561, 37595, 573, 16, 254, 20885, 593, 1497, 328, 254, 561, 21616, 497, 4528, 457, 353, 254, 274, 254, 310, 188, 16, 14859, 1853, 348, 2421, 254, 436, 3575, 282, 436, 45, 254, 254, 254, 310, 1382, 2674, 310, 310, 888, 254, 254, 1851, 343, 369, 5252, 37595, 360, 915, 3661, 417, 713, 1412, 2942, 1863, 3428, 2211, 254, 2482, 86, 2961, 311, 328, 286, 826, 2966, 618, 6333, 1938, 310, 1848, 17161, 751, 618, 369, 310, 4117, 6934, 11, 254, 2630, 16700, 13220, 310, 16, 2211, 16, 2876, 563, 343, 307, 274, 343, 14, 17161, 254, 43, 1080, 1074, 3665, 2722, 311, 254, 39087, 254, 6165, 13397, 353, 248, 497, 254, 35274, 618, 510, 310, 16, 3847, 16, 807, 42447, 2807, 16, 2722, 286, 360, 188, 4321, 573, 4762, 276, 3055, 597, 387, 16, 282, 3622, 432, 3837, 479, 16, 5332, 12506, 380, 254, 2942, 683, 532, 1260, 364, 731, 37595, 9874, 2630, 32360, 353, 310, 1033, 4251, 1090, 282, 835, 10746, 310, 254, 593, 310, 369, 5582, 13537, 510, 294, 10746, 457, 286, 310, 369, 1094, 1056, 5812, 888, 444, 8715, 13229, 387, 890, 3408, 8260, 188, 457, 14, 479, 254, 38400, 327, 310, 276, 274, 12676, 16, 1311, 1026, 13494, 2486, 324, 254, 7984, 348, 942, 1034, 188, 10746, 3005, 15006, 310, 5044, 18523, 5723, 353, 561, 14, 254, 254, 282, 1491, 360, 576, 2824, 1815, 248, 1649, 380, 2666, 510, 573, 1689, 593, 24129, 282, 254, 4516, 282, 254, 2462, 13537, 618, 398, 29843, 16, 942, 369, 282, 618, 254, 254, 343, 1652, 1269, 561, 751, 16, 9001, 254, 39087, 1110, 360, 248, 286, 310, 1090, 16, 286, 2019, 18450, 2152, 85, 274, 9706, 282, 580, 248, 2849, 282, 11107, 1773, 1767, 276, 16, 1450, 35135, 19040, 1089, 16, 1019, 276, 9654, 532, 4047, 8356, 286, 12261, 324, 254, 282, 650, 86, 4428, 254, 4117, 6134, 573, 282, 7156, 2942, 254, 254, 14527, 6668, 6934, 939, 18497, 6519, 369, 16, 324, 14887, 282, 254, 1480, 532, 1623, 248, 20666, 3477, 16, 348, 1755, 2374, 497, 3811, 310, 5332, 282, 20104, 254, 16, 254, 14, 4774, 944, 4422, 19551, 802, 5439, 3155, 1509, 286, 1382, 2916, 457, 12946, 671, 12946, 13494, 6851, 1516, 254, 1408, 310, 2151, 1250, 1887, 254, 9930, 16, 5332, 254, 512, 7618, 343, 1964, 36205, 888, 22, 17034, 5325, 7560, 282, 310, 1360, 17, 282, 6344, 338, 1509, 282, 43, 353, 11197, 1444, 790, 17170, 188, 1708, 740, 328, 19101, 9150, 2961, 43, 1157, 1853, 254, 2630, 7362, 14, 432, 888, 1269, 16, 16, 3997, 286, 254, 16, 403, 16, 276, 900 ]
[ 1, 274, 282, 24433, 271, 254, 452, 436, 4945, 582, 407, 6851, 688, 3931, 5018, 407, 13191, 282, 3706, 14, 17329, 913, 352, 14, 8873, 254, 6244, 748, 347, 5431, 641, 1002, 16, 14, 6596, 254, 3931, 249, 3312, 14, 3312, 347, 9960, 319, 452, 14, 21337, 32317, 7034, 254, 353, 254, 4945, 713, 386, 27811, 37329, 5935, 390, 6987, 29732, 16, 2546, 5935, 286, 347, 2774, 8707, 24433, 1205, 4945, 24209, 452, 369, 282, 452, 274, 29732, 2700, 352, 14, 14, 3690, 276, 29732, 593, 1057, 254, 35647, 1012, 3510, 339, 497, 361, 2546, 369, 436, 825, 311, 417, 327, 5935, 3427, 188, 14, 354, 254, 353, 254, 16, 327, 1268, 32484, 5672, 18589, 3312, 3931, 10262, 15, 14329, 327, 688, 18452, 2489, 274, 671, 7814, 254, 274, 353, 4246, 327, 33, 10645, 8282, 10084, 254, 13552, 369, 327, 37329, 274, 713, 8001, 6095, 1841, 39592, 14, 2818, 14, 254, 7529, 25636, 34191, 2006, 14, 1678, 3495, 2696, 5831, 533, 311, 5935, 24326, 254, 353, 909, 327, 29732, 8219, 254, 338, 5935, 254, 314, 862, 254, 21898, 427, 581, 22, 254, 5514, 12689, 19991, 254, 4618, 16, 29, 1311, 1982, 38755, 28, 254, 497, 369, 3184, 5431, 286, 606, 14, 347, 16, 1068, 16, 8892, 1635, 414, 14, 4945, 14, 852, 497, 913, 417, 1694, 4101, 9108, 286, 721, 2096, 7406, 33169, 17800, 17800, 14020, 14, 9258, 14, 417, 282, 533, 374, 33852, 254, 434, 32032, 286, 889, 16, 532, 274, 414, 380, 1034, 642, 14, 2955, 8334, 16, 369, 460, 353, 321, 380, 286, 1390, 407, 3506, 8707, 2667, 7783, 17177, 497, 14, 254, 6648, 3608, 14, 16, 8707, 2432, 4945, 4072, 266, 324, 254, 311, 286, 254, 14, 248, 1220, 1361, 1525, 459, 14, 2835, 29732, 19648, 286, 1218, 2436, 16, 668, 30837, 254, 3931, 417, 417, 587, 327, 71, 274, 274, 16, 642, 16, 24690, 671, 3427, 414, 29732, 3736, 11690, 286, 254, 9771, 3312, 7736, 4945, 533, 17047, 1180, 9125, 1225, 7681, 36804, 254, 4829, 16, 254, 15086, 13166, 254, 311, 274, 596, 374, 497, 510, 272, 30432, 29732, 713, 282, 407, 282, 4337, 327, 321, 274, 474, 14, 274, 188, 274, 265, 1495, 14, 32991, 254, 615, 274, 5935, 596, 2741, 10123, 3614, 14, 4025, 321, 274, 836, 2595, 390, 286, 493, 321, 14, 6124, 1726, 14, 3899, 1041, 282, 896, 14, 327, 721, 14, 407, 254, 274, 512, 24433, 9108, 11763, 495, 642, 27, 497, 900, 15900, 2436, 37652, 1186, 274, 2546, 7525, 14, 306, 3596, 254, 16, 369, 19195, 324, 19992, 274, 29421, 2204, 247, 16, 5831, 274, 8892, 188, 10872, 274, 3427, 495, 1431, 510, 3312, 16, 14, 4945, 254, 42686, 14, 17203, 254, 900, 360, 521, 16, 7525, 7368, 460, 449, 2659, 33516, 369, 407, 254, 14, 254, 286, 14, 1219, 16, 327, 328, 277, 17203, 254, 16, 369, 274, 11153, 17177, 283, 533, 1869, 14, 254, 280, 2474, 306, 34894, 15180, 47717, 276, 388, 1747, 274, 254, 327, 4945, 254, 347, 925, 2903, 254, 11690, 44514, 1464, 1841, 434, 749, 4644, 4945, 449, 274, 29704, 779, 248, 16947, 749, 1225, 14, 403, 276, 436, 721, 7361, 6825, 2436, 510, 274, 325, 407, 254, 388, 731, 3622, 276, 254, 9108, 4725, 348, 5139, 188, 274, 9263, 399, 9125, 6387, 9108, 254, 282, 347, 476, 282, 254, 25995, 862, 1426, 380, 1527, 327, 282, 306, 331, 328, 2741, 22300, 3427, 14, 13665, 2926, 10123, 248, 14, 20361, 311, 836, 374, 4945, 4945, 4756, 188, 254, 2843, 6032, 407, 327, 1606, 352, 414, 436, 348, 254, 418, 5935, 67, 274, 16, 328, 44514, 1826, 24433, 14, 17800, 13191, 1219, 32585, 282, 16, 33169, 3706, 1956, 970, 16, 327, 3427, 5831, 13236, 248, 7529, 30386, 407, 3931, 887, 4464, 188, 3073, 347, 24409, 286, 23470, 883, 19880, 188, 33258, 254, 35617, 311, 47450, 669, 896, 900, 348, 254, 10661, 449, 24359, 14, 369, 2436, 254, 254, 1912, 16, 32069, 328, 663, 14, 14, 401, 2429, 3177, 254, 2096, 331, 1956, 282, 274, 14, 417, 16, 2436, 16, 1220, 2410, 1062, 14, 21898, 28290, 6093, 5018, 6951, 327, 476, 327, 1427, 532, 417, 443, 353, 852, 254, 2318, 254, 5563, 2006, 274, 2634, 25234, 311, 14, 5028, 6095, 16, 497, 274, 900, 2318, 300, 2774, 683, 14, 42183, 274, 324, 403, 5656, 2211, 10827, 283, 5839, 15169, 407, 274, 14, 9125, 9162, 497, 7002, 274, 1250, 1361, 5935, 452, 254, 32869, 360, 353, 896, 311, 274, 2692, 407, 587, 254, 248, 3427, 41015, 3427, 34403, 254, 274, 1143, 403, 5330, 25636, 380, 286, 274, 1993, 254, 274, 3015, 30374, 327, 41584, 254, 1931, 276, 188, 276, 713, 825, 712, 14, 71, 14, 276, 3240, 352, 1220, 4205, 862, 641, 353, 14, 353, 925, 327, 311, 14, 3584, 2843, 14, 272, 14, 428, 272, 254, 14, 282, 1748, 449, 758, 360, 254, 14, 14, 1733, 729, 826, 596, 39201, 2843, 13457, 713, 3784, 14, 254, 25995, 4090, 695, 4072, 825, 2630, 1219, 970, 14, 1472, 254, 16, 14, 449, 16, 2304, 807, 387, 16, 4945, 10830, 510, 14, 4945, 369, 274, 188, 343, 14, 380, 497, 14, 2096, 403, 16, 30837, 14, 2051, 2546, 16, 449, 3312, 57, 1843, 1430, 2803, 4783, 10413, 390, 25636, 944, 497, 974, 1815, 13391, 390, 286, 497, 39435, 390, 274, 624, 801, 2468, 6160, 254, 2860, 378, 276, 14, 5018, 4822, 248, 1364, 30837, 254, 4945, 8438, 4945, 387, 1205, 353, 13227, 29732, 15235, 417, 282, 254, 274, 286, 272, 4314, 347, 4597, 14790, 3312, 286, 4090, 1289, 360, 3132, 7614, 4725, 11479, 4801, 14, 533, 274, 274, 254, 9726, 282, 459, 1339, 37492, 900, 643, 15169, 6815, 32826, 286, 889, 5018, 274, 347, 374, 9947, 414, 11786, 274, 4945, 321, 496, 254, 1922, 403, 6093, 5444, 2318, 14, 4945, 436, 14, 862, 3606, 387, 14, 883, 24433, 16, 22, 2034, 24690, 669, 2893, 1129, 2080, 13191, 4402, 417, 22505, 14, 41, 17726, 254, 13166, 13700, 10078, 286, 348, 748, 324, 432, 9125, 5174, 254, 7406, 17963, 369, 4945, 2426, 3427, 22575, 5174, 29732, 6244, 663, 375, 254, 29847, 2213, 254, 11118, 10110, 17158, 24326, 8504, 731, 8775, 774, 10615, 282, 282, 369, 20554, 282, 1015, 274, 4945, 11876, 5831, 3312, 2228, 10926 ]
[ 1, 8509, 18306, 353, 15734, 9632, 418, 3809, 2982, 1354, 13418, 286, 276, 8474, 8867, 3277, 353, 254, 9520, 6132, 276, 309, 2080, 1527, 4235, 6987, 5553, 19, 2807, 7810, 7032, 452, 327, 254, 59, 14, 10094, 310, 18522, 5041, 34820, 347, 286, 2586, 3333, 19783, 3368, 15039, 687, 3584, 460, 19517, 9162, 15, 29, 544, 7743, 403, 3927, 257, 14, 5626, 39757, 774, 5041, 1247, 481, 6492, 418, 327, 254, 9024, 282, 481, 9630, 42934, 3525, 282, 5889, 327, 2218, 390, 819, 390, 78, 671, 5766, 273, 1527, 47483, 6474, 25298, 22289, 23715, 282, 43, 282, 695, 311, 13245, 418, 19, 327, 35684, 441, 282, 16, 9595, 14, 390, 282, 18, 7032, 29886, 27127, 274, 23, 368, 4235, 390, 2586, 1872, 35059, 407, 5307, 188, 3577, 321, 34820, 560, 441, 33051, 1661, 1657, 9162, 1298, 839, 390, 3027, 1385, 276, 188, 367, 4708, 417, 2543, 937, 4028, 264, 3368, 3612, 418, 1385, 18, 380, 188, 2080, 4012, 7682, 9858, 274, 254, 282, 282, 368, 34820, 2992, 374, 39043, 282, 34400, 274, 10953, 16, 11, 314, 772, 26328, 9380, 47630, 16, 889, 374, 16, 587, 6474, 314, 14, 11608, 14, 6492, 3368, 13470, 1286, 11839, 324, 13470, 6492, 18327, 6492, 5118, 977, 2160, 2909, 4356, 5346, 282, 16, 16, 5243, 403, 4012, 407, 407, 6194, 14, 15945, 26868, 417, 7032, 2080, 6492, 9066, 10804, 772, 641, 33686, 390, 6492, 1029, 774, 7304, 29, 390, 3376, 282, 4012, 5224, 39043, 274, 2517, 40584, 348, 36519, 3525, 16, 19, 7682, 11730, 471, 407, 4314, 14491, 277, 2909, 452, 15, 869, 254, 19, 374, 5638, 282, 15, 10732, 34820, 327, 2349, 2543, 33459, 353, 5766, 19917, 31476, 441, 2586, 388, 628, 977, 368, 321, 1201, 254, 2586, 6879, 1042, 14, 276, 418, 4012, 74, 417, 2080, 46, 25474, 254, 1091, 14, 642, 1405, 4252, 14, 6492, 314, 254, 1596, 1336, 3462, 327, 819, 7682, 3965, 28, 254, 1286, 276, 7032, 14417, 16, 314, 3525, 17204, 6546, 2207, 19577, 5278, 2080, 5931, 3733, 452, 265, 4653, 20242, 16, 276, 70, 19, 2517, 390, 3350, 6986, 980, 20692, 11, 46209, 46, 286, 273, 286, 14, 1042, 555, 774, 30724, 3368, 5234, 311, 418, 4356, 6879, 441, 282, 28281, 274, 34820, 5861, 22116, 16, 27447, 407, 3184, 4012, 8726, 327, 47, 4859, 29792, 6492, 615, 11, 6879, 729, 1830, 41685, 286, 665, 5294, 417, 282, 1996, 43147, 17, 2586, 403, 15, 248, 8064, 15889, 3215, 16, 1201, 4012, 2023, 706, 500, 2186, 285, 24822, 7250, 3368, 6879, 34820, 390, 368, 29310, 774, 418, 16, 2909, 286, 432, 10501, 13763, 889, 6583, 1244, 1878, 510, 2856, 14, 671, 436, 387, 343, 2468, 31476, 286, 418, 6474, 8969, 37224, 8411, 390, 418, 11, 3350, 274, 5638, 819, 15842, 282, 59, 4704, 970, 6492, 2449, 368, 47114, 45917, 1269, 36519, 6492, 2517, 8647, 5041, 5719, 10501, 291, 18306, 14, 374, 21188, 756, 7459, 6492, 8764, 347, 2586, 1063, 36706, 825, 328, 16, 2218, 665, 286, 2909, 8500, 39043, 324, 15025, 417, 960, 248, 512, 4815, 418, 254, 16, 368, 311, 7142, 2634, 374, 768, 0, 254, 314, 11592, 3215, 403, 22818, 2080, 29202, 14, 5889, 3525, 9846, 3737, 5041, 836, 6879, 1516, 1405, 31883, 819, 418, 1527, 286, 36903, 4532, 254, 10711, 14, 3900, 8500, 9162, 19, 16, 188, 390, 321, 387, 68, 3134, 819, 23618, 282, 2543, 286, 1903, 9632, 282, 1374, 15, 2349, 444, 285, 7032, 368, 418, 417, 440, 6492, 368, 11771, 3368, 25042, 4003, 11608, 417, 6492, 4045, 254, 4087, 254, 20938, 8454, 28, 2969, 14, 4012, 274, 603, 41490, 30867, 496, 4002, 1321, 328, 361, 5569, 19200, 403, 16293, 5228, 282, 3333, 403, 4, 2909, 737, 14417, 3427, 3446, 1303, 67, 14, 3832, 368, 5766, 328, 16, 37285, 229, 6492, 188, 11839, 8867, 254, 29834, 5228, 327, 633, 276, 22, 2960, 2909, 254, 4226, 14, 31054, 403, 6492, 417, 418, 3511, 286, 19713, 9, 2066, 3368, 19812, 266, 286, 20, 8764, 6396, 441, 11060, 327, 834, 434, 1906, 347, 403, 254, 407, 286, 7702, 11671, 418, 7032, 24453, 3525, 31035, 324, 418, 3462, 15641, 274, 18327, 4, 457, 418, 24, 274, 311, 2951, 15, 4028, 2148, 248, 26589, 5044, 633, 418, 665, 5554, 274, 188, 276, 2449, 1093, 3027, 361, 665, 1779, 1830, 40465, 254, 282, 5041, 36166, 26095, 274, 16, 4012, 3368, 1269, 368, 30867, 3567, 1395, 4076, 274, 587, 282, 9162, 368, 1822, 6492, 7032, 4978, 5766, 8489, 2080, 10953, 854, 18306, 368, 3596, 10953, 5766, 2448, 27, 5626, 3511, 6879, 18, 403, 4242, 665, 665, 21911, 390, 418, 390, 14, 22381, 18671, 2207, 282, 4474, 18111, 16, 1423, 1193, 1063, 3364, 328, 9595, 7032, 254, 6492, 2586, 889, 3368, 6879, 349, 19474, 387, 324, 4297, 18, 665, 403, 418, 418, 18696, 6492, 16, 354, 23486, 282, 327, 16, 69, 5719, 33974, 314, 6492, 282, 933, 889, 14, 417, 324, 665, 248, 2181, 14, 300, 16, 15039, 18, 14, 10501, 19, 314, 16, 11839, 11, 324, 254, 7810, 839, 4709, 1745, 20477, 9024, 23, 3453, 2586, 368, 4773, 263, 4314, 41835, 18306, 633, 0, 12007, 314, 5889, 1610, 286, 2181, 23, 16, 5041, 16, 256, 18, 16, 42695, 368, 2586, 411, 25042, 10544, 6492, 5638, 331, 390, 16, 390, 14377, 6492, 14, 229, 4314, 418, 5044, 4012, 5477, 1520, 2586, 16, 3525, 28367, 5692, 18771, 32214, 347, 11771, 1201, 16, 273, 188, 19657, 374, 2372, 36033, 751, 1042, 5044, 5211, 14, 4959, 10407, 46698, 8075, 2633, 22647, 254, 276, 324, 390, 25298, 390, 28575, 14, 6980, 665, 1903, 330, 45877, 1661, 4076, 2468, 22458, 1897, 34239, 10501, 2349, 250, 26328, 282, 7449, 374, 4012, 6492, 591, 4063, 11342, 665, 513, 3899, 3258, 34239, 28281, 417, 587, 481, 39043, 16, 9632, 6492, 4336, 24634, 24, 2543, 6546, 418, 254, 2586, 3706, 248, 1392, 2543, 276, 2349, 5041, 5638, 286, 772, 12399, 665, 774, 19577, 24822, 21816, 10501, 16, 3163, 387, 54, 20897, 2951, 16, 249, 8821, 368, 3567, 17750, 36, 3368, 3376, 90, 13187, 16, 24112, 3977, 32092, 274, 695, 3368, 2856, 14, 1273, 274, 42844, 8500, 361, 418, 6492, 6987, 434, 390, 374, 16, 8910, 665, 2485, 669, 2080, 15039, 33245, 20296, 16777, 4151, 7810, 30499, 2554, 286, 7032, 695, 2517, 41685, 18671, 85, 2408, 10501 ]
[ 1, 15, 17, 1554, 671, 5, 684, 2962, 684, 9346, 188, 5141, 1554, 65, 33212, 2523, 1358, 39846, 188, 19343, 2962, 2215, 5, 65, 19343, 15185, 684, 5141, 65, 684, 5, 24318, 1358, 4287, 2962, 550, 188, 65, 5, 2962, 65, 72, 684, 2788, 684, 5, 3454, 3934, 5, 5141, 684, 2962, 1358, 5141, 3958, 188, 15405, 2962, 12541, 684, 1662, 2071, 65, 9742, 558, 684, 2962, 5, 85, 684, 188, 23261, 684, 5141, 65, 5141, 1476, 684, 14, 188, 9188, 684, 684, 65, 5, 65, 5141, 24821, 17, 5, 558, 1358, 671, 483, 684, 188, 5141, 5, 2962, 5, 4967, 5, 2962, 875, 19744, 188, 13975, 1358, 684, 44145, 13410, 39846, 684, 550, 684, 65, 19343, 671, 2788, 2315, 558, 684, 3323, 15185, 5, 188, 3958, 2962, 65, 9346, 684, 2538, 2962, 2962, 14, 1358, 188, 1554, 2962, 1671, 5, 188, 188, 5141, 1662, 684, 2071, 5, 65, 5, 12541, 1358, 684, 3958, 33212, 3454, 2788, 5, 9742, 684, 684, 684, 4287, 2962, 3934, 4458, 12541, 65, 2215, 2215, 188, 2962, 5, 5141, 31249, 1476, 2962, 14, 188, 2962, 188, 2523, 684, 2315, 5141, 2315, 32875, 5141, 2962, 671, 5141, 2071, 33703, 2962, 5141, 39846, 2523, 188, 188, 24318, 1671, 65, 188, 12541, 2962, 7910, 5141, 1358, 39846, 684, 14, 72, 5141, 2962, 65, 684, 5, 4287, 188, 5, 65, 19343, 188, 1554, 12541, 65, 65, 6713, 684, 188, 5141, 5141, 3958, 5141, 2962, 2962, 684, 10775, 65, 33212, 2315, 188, 65, 5, 188, 5, 1671, 684, 2315, 188, 5141, 1662, 188, 7910, 17, 39846, 1476, 2962, 4458, 2523, 9742, 1358, 5, 5, 4287, 558, 2215, 72, 550, 188, 684, 1358, 684, 2215, 3958, 188, 684, 65, 33703, 5, 2962, 2962, 188, 65, 188, 684, 5, 9742, 65, 5141, 17, 188, 65, 9346, 5, 2523, 5, 24318, 188, 3454, 5, 65, 5141, 5141, 684, 2962, 5141, 1358, 188, 3958, 1671, 2962, 5, 5141, 1358, 15185, 684, 684, 5, 1476, 33703, 684, 3383, 684, 684, 558, 684, 31249, 1358, 7910, 684, 3934, 17, 5, 188, 5, 2962, 1662, 9742, 2788, 2071, 2523, 188, 188, 15185, 65, 1662, 3958, 39846, 558, 2962, 3958, 5141, 7910, 4458, 9742, 31249, 751, 684, 17, 684, 9742, 5, 2962, 684, 751, 5, 12541, 20090, 5, 6713, 2962, 1662, 684, 5141, 188, 5, 684, 1358, 188, 5, 65, 2962, 3958, 65, 684, 3454, 6713, 3958, 6713, 5, 65, 5141, 33212, 188, 5141, 188, 33703, 4287, 5141, 1358, 1358, 5, 10889, 1358, 2523, 14, 5, 2978, 7910, 3323, 875, 684, 5141, 1358, 65, 5141, 2962, 3958, 2962, 684, 5141, 65, 5141, 684, 65, 2071, 188, 188, 65, 684, 671, 684, 24318, 188, 684, 875, 550, 7910, 684, 1671, 5, 1358, 72, 751, 15, 188, 558, 550, 5141, 684, 1554, 5141, 5141, 3454, 751, 2962, 1358, 684, 684, 65, 188, 2523, 5, 2315, 684, 9346, 684, 5, 37355, 65, 1358, 684, 5566, 14, 31249, 188, 5141, 5141, 19343, 7910, 3323, 2215, 14, 188, 65, 188, 3934, 5, 14, 684, 7910, 188, 5141, 684, 65, 65, 5, 5, 3934, 684, 188, 65, 5, 483, 550, 3958, 5, 65, 684, 5141, 2962, 85, 6713, 684, 5141, 684, 5, 5141, 2215, 2962, 751, 188, 1554, 2962, 5141, 65, 65, 2215, 72, 1358, 14, 33703, 188, 188, 2962, 188, 684, 1358, 1358, 188, 1153, 1358, 5141, 2215, 2962, 2962, 14, 14, 188, 684, 4287, 188, 875, 558, 9346, 684, 5141, 684, 188, 550, 1358, 2788, 5, 2962, 1153, 65, 188, 5141, 32875, 9501, 10022, 2962, 188, 2962, 2962, 15, 1662, 5141, 684, 5141, 65, 1358, 684, 1358, 5, 8013, 2788, 5, 1153, 5, 12541, 2215, 5, 31249, 684, 1358, 684, 5, 5, 5141, 65, 609, 4438, 3958, 684, 5, 188, 1358, 188, 24318, 684, 188, 65, 188, 3454, 550, 5, 65, 5, 65, 5, 5141, 65, 875, 1662, 65, 31249, 684, 5, 1358, 2315, 188, 5, 684, 2962, 2962, 188, 5, 684, 188, 188, 550, 32875, 2962, 1358, 5, 1358, 32875, 671, 14, 10022, 3958, 2962, 15185, 1358, 24318, 188, 1358, 2215, 19744, 15185, 684, 65, 72, 65, 2962, 24318, 2962, 2215, 65, 9346, 684, 1358, 5, 4287, 188, 2962, 17, 17, 282, 2962, 65, 2962, 5141, 2962, 188, 5, 188, 2523, 1358, 188, 2908, 875, 15185, 1671, 39846, 188, 9742, 12541, 5, 5141, 31249, 5141, 5141, 2962, 684, 19343, 5141, 65, 5141, 684, 9742, 875, 3454, 684, 684, 188, 5, 3958, 684, 65, 14082, 1358, 19343, 5141, 5, 751, 2962, 5, 188, 684, 684, 684, 3958, 13315, 684, 65, 2215, 5, 684, 3934, 188, 188, 684, 671, 2215, 5141, 188, 16237, 188, 1358, 2962, 1358, 684, 5141, 188, 5141, 5, 1358, 5141, 5141, 65, 2215, 5, 684, 684, 2215, 5141, 5, 188, 5, 1358, 1671, 5, 684, 188, 671, 2962, 14, 5, 3934, 32875, 5, 1153, 15185, 188, 39846, 19343, 1358, 21216, 5141, 188, 5141, 4095, 4287, 19343, 19744, 65, 1358, 5141, 65, 72, 24318, 17, 684, 65, 1554, 684, 31249, 65, 5141, 684, 1671, 44145, 2538, 684, 2962, 188, 561, 1358, 65, 2071, 2788, 14, 188, 5141, 27867, 684, 5141, 39846, 684, 5, 2962, 7910, 5141, 14, 2962, 65, 188, 2962, 6713, 5, 5141, 2962, 1358, 684, 3323, 5, 33212, 32875, 558, 684, 1358, 875, 5, 684, 2962, 188, 188, 1476, 561, 5, 65, 684, 684, 2215, 65, 751, 188, 2962, 188, 5, 5, 1476, 12541, 684, 65, 2215, 684, 684, 188, 65, 1554, 2962, 5141, 5141, 2962, 684, 5141, 1358, 5, 3958, 1899, 5141, 65, 2538, 684, 1358, 684, 3323, 188, 1554, 65, 5, 3323, 5, 5, 15, 2962, 684, 3958, 65, 3934, 15405, 65, 2315, 2538, 65, 2788, 5, 684, 5, 3454, 3323, 65, 5, 2315, 5141, 5141, 1358, 2962, 9346, 5, 33703, 14, 65, 5141, 2962, 5141, 5141, 14, 33212, 5, 65, 5, 72, 65, 684, 1662, 9346, 33212, 14, 14082, 2962, 684, 188, 188, 684, 1358, 24318, 2071, 65, 32875, 3323, 9346, 5, 671, 2962, 2962, 684, 32875, 684, 31249, 1358, 751, 33212, 1358, 4287, 15185, 875, 65, 5, 5, 2962, 751, 2962, 558, 1358, 37355, 188, 2071, 1554, 39846, 3133, 65, 684, 1828, 5, 188, 72, 3934, 2788, 33212, 2071, 65, 5141, 32875, 3323, 5, 188, 684, 684, 3426, 188, 684, 684, 1671, 2962, 2962, 33212, 2962, 3454, 2962 ]
[ 1, 21278, 16, 481, 481, 9696, 3790, 311, 1740, 2543, 390, 282, 3536, 666, 5805, 5939, 1678, 5328, 1993, 4458, 4076, 188, 311, 353, 772, 417, 836, 4076, 248, 14, 452, 10216, 311, 2371, 3427, 3889, 254, 52, 751, 588, 16, 2014, 526, 481, 274, 689, 8143, 756, 311, 9696, 311, 274, 2696, 15, 769, 254, 5322, 2563, 16, 7609, 282, 11637, 915, 16, 286, 16, 311, 311, 819, 14, 2243, 963, 307, 14747, 14, 286, 52, 7837, 343, 3136, 1603, 10782, 274, 432, 10782, 89, 610, 961, 13236, 4594, 588, 624, 13805, 2133, 3026, 10782, 20728, 380, 353, 869, 254, 7002, 481, 403, 74, 11525, 1500, 403, 11637, 830, 6069, 1649, 811, 633, 11, 2432, 44938, 417, 8718, 321, 254, 16, 16523, 1544, 4750, 274, 1460, 4254, 248, 668, 16, 3109, 5563, 11, 14, 11100, 526, 4076, 15, 254, 314, 6503, 276, 14, 3783, 626, 1275, 324, 1026, 593, 403, 6702, 274, 1102, 5982, 3783, 3889, 4564, 311, 12472, 23900, 314, 33290, 14, 555, 13718, 353, 9696, 407, 1181, 21815, 1354, 11637, 40774, 6211, 476, 327, 282, 254, 615, 432, 403, 4466, 387, 11322, 1896, 46538, 282, 44938, 282, 35012, 7837, 3783, 457, 390, 47137, 2696, 307, 4122, 457, 282, 1815, 610, 16, 16, 407, 327, 274, 29533, 440, 436, 403, 14, 1004, 33932, 2046, 380, 330, 42694, 555, 32354, 436, 633, 615, 2916, 561, 16, 16613, 615, 248, 11637, 2357, 28905, 248, 1672, 28, 2133, 9152, 248, 15787, 254, 624, 274, 1964, 576, 7353, 2075, 274, 276, 1845, 5939, 282, 374, 307, 7407, 254, 16, 11525, 353, 5494, 274, 30058, 8209, 16, 2649, 941, 16, 14241, 18827, 327, 10799, 7837, 3889, 1181, 444, 2181, 5846, 468, 324, 321, 10782, 476, 3783, 1664, 626, 843, 311, 254, 1026, 942, 3889, 4273, 1460, 5982, 403, 13659, 3324, 311, 6567, 615, 12551, 12587, 9394, 561, 390, 3095, 826, 85, 276, 481, 248, 311, 476, 3165, 272, 14747, 4615, 2187, 11637, 18, 12551, 610, 997, 2636, 307, 3996, 8088, 432, 20192, 417, 15225, 15, 328, 10799, 2563, 14199, 248, 4995, 4183, 668, 16653, 16, 743, 286, 16, 9375, 915, 14, 743, 889, 11637, 399, 282, 188, 476, 1062, 254, 9290, 403, 28, 6177, 13583, 11525, 1181, 11525, 254, 282, 14747, 39155, 11637, 380, 254, 390, 311, 668, 3793, 4341, 6742, 248, 324, 254, 1423, 307, 13879, 22453, 282, 687, 328, 3165, 311, 1849, 10782, 188, 16, 4076, 2378, 17628, 282, 282, 417, 15, 1460, 3889, 3133, 3783, 4273, 328, 85, 9696, 476, 286, 21815, 13605, 769, 1062, 22453, 436, 311, 16580, 615, 319, 593, 7183, 10782, 1612, 440, 3622, 643, 3783, 2187, 12315, 327, 3956, 254, 10216, 1840, 2591, 20727, 4594, 286, 1205, 596, 1390, 248, 1726, 16, 3574, 457, 580, 2443, 2187, 889, 2811, 16, 286, 1129, 10782, 286, 31516, 18407, 4076, 3783, 666, 14, 888, 254, 85, 14, 254, 254, 248, 276, 1460, 254, 248, 7890, 14, 380, 2584, 2151, 440, 11525, 11637, 2133, 2187, 10629, 286, 311, 254, 440, 254, 327, 3983, 19143, 311, 10369, 282, 11020, 15, 52, 327, 254, 3233, 476, 36700, 4594, 2133, 11637, 731, 432, 1460, 1015, 1012, 311, 31979, 2714, 1385, 610, 311, 380, 826, 533, 826, 254, 10413, 327, 942, 6319, 8143, 2623, 532, 30585, 11426, 668, 4317, 669, 8143, 671, 5939, 4284, 14361, 248, 254, 52, 436, 2591, 282, 785, 13658, 7477, 963, 282, 494, 1838, 28293, 4607, 513, 254, 330, 4341, 16, 1285, 729, 15, 327, 2365, 403, 282, 1664, 254, 974, 4576, 311, 624, 4076, 11020, 16, 286, 16, 8143, 368, 321, 18161, 327, 380, 843, 276, 14, 615, 3258, 3746, 1726, 314, 369, 596, 479, 1397, 10138, 311, 2150, 769, 15, 254, 1145, 1074, 452, 2876, 307, 20, 14417, 327, 23099, 9696, 286, 276, 282, 826, 5364, 1129, 343, 21343, 3783, 11637, 2133, 495, 286, 13236, 2150, 10782, 10782, 5926, 633, 3258, 4076, 16, 15, 16584, 1896, 274, 1733, 11637, 286, 14, 843, 7919, 286, 440, 931, 274, 14, 403, 751, 33211, 15, 272, 327, 4341, 5384, 348, 11462, 476, 276, 9362, 3021, 324, 282, 348, 67, 67, 11637, 15214, 327, 532, 2150, 16, 348, 14, 495, 668, 3238, 36, 10782, 40131, 327, 19, 85, 10581, 2807, 931, 274, 314, 436, 4024, 3783, 5939, 311, 15, 321, 688, 89, 314, 311, 314, 1953, 3570, 248, 394, 4921, 20058, 643, 580, 321, 254, 282, 3165, 353, 476, 624, 669, 2824, 274, 42567, 3238, 311, 13262, 286, 1493, 274, 643, 286, 512, 387, 7317, 5698, 14, 16, 3997, 11606, 16, 311, 417, 14, 3258, 311, 254, 21815, 1499, 46187, 1026, 7955, 13659, 254, 1460, 22, 20058, 494, 374, 348, 3709, 10782, 2443, 314, 14, 3979, 261, 348, 1218, 1057, 3258, 324, 4076, 1460, 286, 254, 348, 16584, 254, 14, 33193, 248, 4360, 1503, 327, 403, 2075, 14, 4479, 615, 5511, 4645, 353, 417, 14, 4343, 476, 587, 2365, 3144, 72, 282, 368, 276, 16, 21579, 286, 369, 321, 5939, 286, 627, 5416, 282, 2515, 2150, 476, 1321, 4369, 8143, 403, 476, 1041, 32807, 494, 407, 596, 756, 615, 5167, 432, 321, 6359, 2169, 40131, 7183, 286, 274, 1460, 942, 9621, 3310, 695, 282, 593, 24552, 248, 7461, 20727, 641, 11637, 16, 272, 4183, 74, 254, 256, 1491, 4076, 21278, 3165, 2701, 286, 2243, 14809, 254, 1193, 16, 4297, 369, 276, 38028, 10214, 596, 14, 6359, 8143, 1635, 1129, 4204, 14, 889, 33193, 34562, 5674, 931, 390, 254, 188, 14747, 603, 836, 830, 668, 311, 3258, 668, 779, 1623, 2065, 1002, 0, 254, 276, 10113, 254, 254, 476, 16, 328, 11525, 3574, 274, 28, 10782, 314, 2626, 188, 14, 9931, 2878, 494, 4594, 274, 327, 324, 1590, 348, 3783, 3889, 274, 452, 10782, 593, 6149, 254, 731, 580, 6319, 327, 14, 18, 633, 13890, 5060, 2811, 57, 84, 2153, 669, 1460, 282, 5885, 4076, 948, 14, 16, 3165, 670, 23519, 2187, 4341, 1495, 4349, 282, 1726, 432, 33290, 254, 14, 5396, 321, 16, 3248, 16, 6425, 440, 311, 319, 4368, 398, 19143, 14, 7942, 3310, 274, 16, 16985, 10782, 321, 6126, 380, 274, 24458, 452, 16, 679, 42694, 27135, 444, 3530, 380, 282, 15225, 4076, 40131, 14, 45128, 26839, 353, 311, 457, 4214, 826, 16, 2714, 11637, 3783, 2602, 403, 555, 45128, 2133, 274, 403, 348 ]
[ 1, 46642, 188, 665, 16, 3378, 1262, 3176, 29, 1465, 15, 1962, 17036, 1067, 647, 434, 29960, 532, 5105, 28570, 3226, 14, 1195, 16, 19837, 534, 31309, 29, 647, 647, 10, 22458, 14, 65, 2012, 3226, 1002, 1067, 51, 7241, 65, 32605, 16, 5, 95, 30976, 10, 13114, 470, 426, 188, 2813, 16, 3709, 10889, 804, 16, 426, 647, 44438, 647, 16, 564, 7277, 254, 826, 324, 647, 10219, 16, 2426, 426, 254, 10, 31, 470, 804, 1333, 32605, 19783, 16, 1441, 665, 2614, 603, 16, 8032, 2474, 641, 0, 11, 2508, 1003, 15611, 4097, 2796, 2012, 14374, 1067, 5516, 210, 1245, 11710, 1067, 9506, 5336, 1067, 647, 647, 512, 33544, 4720, 10, 9506, 4623, 2160, 1076, 9324, 3493, 587, 16, 65, 12763, 3980, 188, 18, 188, 65, 1827, 1827, 16903, 20, 2621, 2796, 11916, 9741, 65, 26444, 6892, 7957, 28, 1160, 16, 839, 23, 10, 19837, 16, 10, 65, 14028, 21, 22989, 1038, 603, 647, 3226, 11833, 328, 647, 300, 3981, 11916, 2337, 33451, 11710, 3255, 1911, 16, 1139, 1827, 32605, 65, 4747, 1003, 88, 18, 1827, 4862, 282, 254, 19, 16, 926, 5097, 1827, 4078, 88, 647, 19837, 188, 32605, 28, 16, 65, 7523, 3333, 3476, 25440, 14, 6625, 2525, 32605, 11, 3226, 3226, 17271, 27250, 7955, 1148, 2426, 647, 25440, 3226, 16, 1148, 12663, 338, 16903, 1465, 5, 1827, 17, 11, 29, 30128, 758, 1067, 390, 11, 1827, 403, 5, 16, 647, 5, 1465, 2192, 254, 3409, 14, 10195, 15983, 2024, 37, 8032, 65, 84, 1262, 274, 44438, 1262, 7954, 188, 16, 44438, 3226, 5, 3226, 470, 11, 5216, 1160, 684, 3949, 324, 353, 16, 5985, 3226, 4872, 1262, 32605, 926, 33451, 15, 25440, 6103, 653, 7957, 647, 11, 3255, 2224, 5238, 12041, 88, 3226, 1701, 10740, 4078, 10424, 647, 1800, 1067, 4862, 1623, 3513, 17, 28, 8870, 254, 647, 10, 11, 4338, 18, 647, 1668, 16, 1465, 32605, 6103, 19, 426, 470, 2621, 4740, 3, 8794, 20545, 19517, 65, 11, 22989, 14374, 343, 867, 7339, 10219, 15611, 14522, 3808, 11422, 958, 16, 426, 6103, 1827, 1358, 20242, 8316, 12041, 17271, 16, 12041, 19, 1196, 477, 21257, 19, 5064, 1067, 254, 65, 27237, 15, 8335, 12041, 24692, 8037, 15679, 11916, 1395, 647, 870, 210, 1827, 28, 3255, 188, 1465, 1045, 1160, 25023, 16, 28, 2012, 16, 5, 5868, 18, 1067, 256, 14, 814, 29, 603, 4081, 4640, 426, 926, 2629, 1210, 32605, 343, 647, 16, 926, 4872, 8047, 51, 4338, 13837, 27237, 254, 1160, 8032, 19, 6474, 19917, 28, 16, 804, 647, 3189, 647, 69, 6103, 276, 16199, 1800, 17271, 65, 25162, 7957, 5868, 19, 1210, 3226, 10, 1635, 8232, 2049, 3226, 933, 3226, 1465, 2426, 28, 4747, 188, 647, 360, 784, 14, 5, 24000, 16, 2684, 647, 926, 926, 32605, 11916, 1067, 3476, 5105, 16, 670, 5868, 20545, 69, 27237, 2192, 804, 10, 5, 625, 8335, 11, 1827, 311, 3189, 14, 13837, 1262, 2192, 32605, 11916, 8032, 37471, 15464, 1358, 5566, 4640, 1827, 31, 495, 4862, 3226, 17, 9428, 12542, 11, 38457, 926, 5097, 926, 274, 31, 5868, 7848, 29, 4139, 1160, 3255, 5, 5216, 10, 348, 33297, 5216, 2629, 647, 1358, 459, 46642, 4360, 17, 321, 1148, 15, 1806, 8032, 188, 44438, 14687, 8032, 1827, 273, 10, 804, 22143, 1139, 14, 15, 426, 30128, 10, 32605, 29, 22989, 5780, 1827, 28, 926, 16, 16, 2192, 1160, 1196, 915, 25808, 16, 2224, 3476, 84, 1148, 3226, 10740, 1139, 1245, 11710, 784, 11, 791, 3737, 311, 1668, 32605, 11710, 11, 1827, 28, 3980, 1269, 426, 10694, 65, 32605, 35192, 8032, 11916, 1827, 15, 8032, 286, 2155, 436, 11641, 10, 1262, 7446, 16, 14, 12041, 533, 286, 16, 5516, 25606, 1534, 3432, 16, 8651, 353, 1067, 647, 11048, 8335, 8867, 286, 27250, 21, 5318, 926, 10, 407, 16, 470, 44438, 1540, 3980, 16, 65, 30128, 4078, 1160, 596, 11, 188, 11, 28971, 11139, 1262, 5050, 16, 4479, 4862, 2349, 8047, 647, 16155, 2000, 65, 4746, 1262, 65, 18932, 10, 28, 28, 188, 25023, 16, 14588, 3226, 25440, 5336, 7910, 31, 11, 1827, 276, 452, 16, 3493, 34650, 4493, 23138, 4747, 1245, 24544, 16, 16, 1160, 1067, 16, 1067, 17409, 16, 286, 14, 25808, 353, 11641, 5, 10, 647, 14, 27528, 7108, 2621, 27250, 5868, 647, 16, 1262, 8047, 1827, 3384, 88, 11628, 314, 8032, 1196, 276, 3226, 1465, 65, 543, 8794, 14374, 254, 5868, 647, 10644, 10424, 16903, 5, 3226, 5489, 4676, 27985, 16, 276, 3226, 426, 1800, 5216, 16, 11554, 11, 28306, 25440, 603, 4740, 65, 11033, 314, 380, 647, 5770, 248, 2192, 2865, 1067, 4493, 69, 1465, 1827, 8651, 5, 1827, 1827, 2360, 1067, 7955, 188, 10, 7523, 10, 25440, 2684, 11710, 31, 6347, 3189, 16, 3189, 1262, 11, 3226, 647, 8651, 26150, 5336, 647, 14, 25808, 18, 8064, 21257, 5434, 18, 1827, 27237, 324, 14, 926, 14, 1067, 16, 300, 550, 6975, 23138, 28, 665, 32605, 25440, 5868, 1067, 804, 647, 2024, 32605, 25440, 426, 2498, 3384, 1938, 330, 4034, 69, 264, 10, 477, 2426, 10, 477, 24531, 7954, 88, 926, 3571, 5105, 324, 29, 647, 32605, 4862, 5216, 7048, 14, 25808, 16934, 21, 5238, 3043, 10, 16, 327, 11710, 826, 16, 14, 1996, 603, 3291, 11598, 4493, 353, 25440, 18941, 14, 3291, 11916, 2684, 348, 16, 16, 338, 23138, 16, 8032, 1076, 9436, 1827, 1827, 32605, 65, 14, 9506, 8047, 188, 1827, 1003, 1540, 2012, 25808, 4862, 14544, 3226, 28, 1855, 14, 2024, 65, 3226, 784, 8335, 32605, 188, 28, 426, 65, 210, 784, 647, 1800, 4608, 12663, 16, 2192, 476, 2512, 1003, 1827, 1827, 14, 1827, 12663, 254, 3255, 368, 254, 2192, 1551, 7277, 1952, 624, 188, 188, 65, 65, 11916, 12041, 3189, 647, 65, 17, 28776, 1635, 2094, 14, 1003, 65, 16, 16, 23138, 3226, 274, 17, 13114, 7955, 5, 254, 647, 56, 30128, 647, 65, 5934, 5, 16903, 188, 11710, 20545, 913, 16, 10, 254, 5216, 28, 3226, 210, 65, 8032, 28, 1139, 11916, 16, 37471, 4493, 19, 65, 254, 1459, 274, 3226, 18, 1921, 15, 12041, 684, 343, 14, 3189, 11641, 4655, 3291, 1286, 2621, 5336, 1148, 28, 633, 417, 1003, 4396, 374, 1903, 625, 8037, 1827, 390, 16, 4862, 5, 1827, 44438, 426, 14, 348, 926, 5, 1827, 25, 16652, 65, 684, 14 ]
[ 1, 457, 28, 701, 16, 2278, 27, 248, 27, 7995, 7221, 1533, 25, 19655, 26, 12370, 3551, 14, 276, 248, 17051, 39952, 276, 1631, 254, 22, 11318, 23588, 41792, 276, 27, 42330, 286, 286, 13695, 2211, 16137, 338, 286, 16, 16, 3792, 387, 7258, 7626, 254, 532, 3819, 276, 581, 22980, 481, 4099, 2910, 11795, 276, 22, 623, 324, 11131, 2048, 16, 27, 16, 248, 338, 11436, 374, 1553, 27, 314, 14922, 5245, 22, 6751, 1469, 254, 286, 286, 14, 11795, 2421, 282, 4502, 1533, 387, 16, 254, 2048, 312, 652, 348, 1811, 10052, 4243, 22, 276, 276, 14922, 345, 23762, 401, 254, 26, 769, 4273, 18099, 21, 19971, 7995, 6252, 11131, 27, 369, 2211, 274, 18, 27, 254, 254, 5245, 3453, 254, 276, 274, 254, 1469, 496, 274, 26, 7995, 276, 652, 387, 5245, 27, 669, 1533, 23808, 496, 943, 7465, 254, 20993, 35837, 21897, 274, 7221, 276, 555, 369, 21, 701, 286, 14, 2764, 432, 2522, 5245, 16899, 11131, 691, 274, 16, 7258, 12582, 560, 8074, 25, 18, 3568, 276, 1948, 24, 15, 254, 10825, 276, 20, 701, 248, 30859, 9515, 5044, 11984, 274, 33065, 518, 4181, 338, 481, 188, 643, 6342, 24, 18, 4543, 5461, 18, 26, 374, 254, 18, 276, 495, 496, 276, 42526, 11194, 8147, 2421, 843, 3889, 18248, 15131, 29838, 15131, 19, 6977, 254, 367, 14, 756, 6081, 22400, 276, 2628, 18, 286, 254, 1783, 276, 17142, 39952, 39043, 2568, 1330, 615, 1470, 8709, 18, 21096, 286, 374, 23, 16, 46, 374, 4543, 2779, 496, 348, 1057, 5521, 37438, 16, 254, 20993, 16, 17538, 20993, 274, 248, 14, 18, 3850, 374, 432, 652, 338, 16, 3929, 30845, 4181, 1091, 555, 254, 2963, 42380, 2228, 1500, 4959, 338, 2020, 16, 314, 6652, 25951, 18, 276, 39952, 8709, 1091, 16, 338, 36178, 17573, 276, 276, 1590, 22812, 324, 33049, 16, 84, 314, 19, 406, 188, 276, 312, 555, 27, 8221, 254, 27, 254, 274, 18, 274, 286, 15, 1427, 2282, 345, 43969, 16, 691, 16, 512, 643, 6311, 2421, 8089, 274, 387, 6423, 496, 4186, 16, 254, 343, 16, 555, 19, 18, 802, 33065, 27, 33449, 555, 8221, 24176, 691, 750, 343, 407, 23, 4186, 5130, 328, 20356, 652, 274, 248, 18, 2910, 19, 652, 5951, 3103, 15, 50, 2779, 6059, 24134, 188, 35798, 274, 432, 15, 26795, 701, 286, 224, 16, 338, 11984, 3059, 5130, 274, 11131, 14, 286, 496, 286, 11131, 84, 16, 312, 2779, 963, 8074, 274, 188, 312, 248, 27, 42526, 512, 254, 18, 643, 20, 18, 18, 28, 248, 16, 328, 13010, 29838, 13132, 28, 18, 36178, 81, 3805, 286, 250, 254, 16, 581, 1238, 274, 12142, 26, 286, 27, 17334, 254, 535, 14, 29838, 338, 276, 274, 27, 16, 13168, 188, 338, 22, 27089, 276, 16, 3609, 8573, 129, 1640, 657, 10825, 6284, 314, 6652, 518, 20993, 20993, 276, 496, 1533, 3781, 3222, 2421, 274, 16, 7962, 27, 282, 348, 338, 24, 4243, 7465, 374, 338, 338, 6342, 2705, 43969, 18, 657, 3102, 323, 286, 1385, 27, 254, 5541, 276, 4742, 3904, 3805, 496, 8887, 286, 1533, 432, 25356, 286, 224, 2779, 1026, 2709, 20993, 20923, 27, 274, 254, 959, 19, 254, 374, 19655, 2048, 387, 30859, 17051, 5081, 282, 254, 1917, 27, 314, 7221, 42526, 2067, 16, 11514, 8709, 27, 1036, 224, 254, 436, 20, 3491, 643, 314, 272, 5245, 30859, 14, 5060, 1676, 14, 254, 3525, 276, 18, 9201, 691, 276, 28, 248, 7811, 15, 22400, 1397, 18, 6751, 432, 254, 254, 248, 374, 33525, 14, 6845, 338, 274, 1123, 436, 743, 254, 42526, 18, 256, 27, 20, 274, 20, 374, 24223, 49, 2048, 2048, 36543, 1921, 3525, 18, 2421, 1948, 701, 16, 16, 16, 286, 14, 27, 22148, 388, 276, 1469, 276, 9282, 21, 10602, 314, 18, 2109, 3904, 254, 254, 2918, 5245, 474, 338, 11071, 18, 274, 1553, 274, 9219, 45, 36178, 555, 312, 27, 254, 374, 472, 11318, 43969, 16, 18, 7004, 701, 16, 324, 286, 338, 276, 27, 56, 2540, 43969, 254, 24, 248, 276, 1222, 25, 20764, 18, 35837, 311, 1533, 24, 1308, 5951, 7580, 27, 1533, 432, 248, 769, 3904, 20445, 188, 16, 248, 14, 248, 254, 1091, 4959, 314, 496, 9360, 16, 4543, 652, 1091, 22400, 188, 22, 14, 286, 22, 417, 11340, 11490, 274, 398, 18711, 274, 380, 7131, 18, 248, 8074, 10945, 16140, 11194, 4543, 37226, 16, 4167, 27, 481, 188, 15, 11436, 1427, 18, 5105, 7626, 254, 27, 274, 432, 7962, 2779, 11131, 16, 26, 16, 286, 6928, 1553, 18, 276, 11, 312, 387, 254, 12013, 27, 16, 46, 23661, 328, 26, 328, 46825, 224, 20764, 276, 537, 16, 20993, 758, 374, 3819, 369, 6311, 43598, 23, 6092, 19971, 374, 35, 254, 276, 652, 274, 18, 16, 20993, 546, 27, 3294, 18, 4257, 27, 276, 188, 7258, 286, 25, 10244, 38192, 616, 40675, 24, 254, 224, 15131, 19, 691, 27, 348, 1963, 14, 19, 16, 374, 1495, 286, 331, 23, 254, 18271, 274, 43969, 256, 11620, 496, 481, 15776, 224, 3805, 939, 7995, 18, 4928, 324, 4168, 276, 274, 16042, 276, 10202, 27114, 3780, 274, 16, 44660, 254, 19, 369, 21, 27, 19, 312, 374, 939, 10052, 473, 348, 254, 312, 44408, 30859, 407, 16006, 977, 4110, 14, 5072, 286, 27, 274, 286, 18, 731, 274, 21096, 286, 706, 21, 27, 254, 510, 2488, 12370, 27, 18, 18, 11436, 19, 25, 254, 3023, 276, 5687, 20356, 18834, 5461, 20993, 256, 19, 374, 282, 14, 12370, 224, 496, 27, 21, 348, 27, 8251, 276, 4669, 4543, 6423, 21, 85, 254, 22205, 1583, 4021, 7678, 39952, 18, 20993, 26618, 12370, 43969, 387, 27, 496, 16, 518, 4181, 37076, 4704, 31435, 84, 30859, 29838, 282, 2517, 23808, 254, 5060, 14, 691, 374, 11, 581, 9526, 286, 276, 348, 957, 7410, 374, 780, 274, 10868, 14, 1090, 4543, 2048, 9219, 274, 11436, 4595, 769, 3551, 691, 9219, 30800, 6131, 254, 254, 274, 18, 286, 35789, 26, 282, 248, 13055, 314, 7960, 276, 16, 2529, 276, 24, 16788, 21463, 36178, 338, 7956, 24, 274, 19, 374, 387, 37, 343, 18, 5715, 20, 13269, 2779, 16, 6059, 4543, 19, 546, 18, 254, 1533, 314, 496, 16, 769, 1427, 276, 11, 22148, 345, 4186, 6980, 18, 11795, 276, 374 ]
[ 1, 18, 18, 3768, 18, 3, 839, 79, 274, 282, 353, 248, 14, 254, 14, 1594, 5786, 441, 4123, 27047, 2497, 22, 16, 47866, 370, 839, 2066, 14, 2514, 6319, 457, 39946, 18, 4028, 5703, 3199, 16964, 16, 286, 2629, 18451, 188, 2187, 24, 1096, 1041, 19, 3867, 338, 21212, 12405, 432, 16, 14, 11559, 5942, 188, 4, 960, 11343, 21, 286, 16, 414, 9308, 274, 1033, 14747, 22, 1033, 3, 53, 16, 1004, 338, 26, 7608, 14129, 286, 328, 14, 7140, 188, 772, 15561, 6104, 9889, 6104, 1819, 4, 403, 27, 806, 188, 26946, 27513, 14, 5837, 33424, 374, 4945, 16, 3561, 1797, 15498, 8934, 188, 27, 1180, 348, 388, 555, 6109, 35083, 395, 26455, 361, 848, 328, 20, 25, 2426, 188, 14, 4566, 14, 254, 5258, 14, 11820, 248, 1797, 321, 650, 282, 14, 248, 2426, 30072, 36949, 328, 1201, 1908, 2094, 91, 17958, 254, 669, 18, 348, 2187, 353, 14, 26946, 19, 1476, 2523, 36949, 6159, 276, 2560, 324, 13763, 416, 4, 813, 2706, 276, 28107, 361, 532, 974, 1091, 2094, 18, 269, 495, 17, 1081, 2706, 269, 2586, 1840, 25, 4807, 665, 5703, 5322, 254, 24, 416, 16028, 23827, 7334, 327, 1078, 4, 1078, 248, 20668, 4667, 1675, 14524, 16, 18179, 2290, 14, 16, 18977, 6901, 20117, 794, 343, 4273, 1479, 254, 1640, 1096, 188, 12, 512, 248, 1212, 19, 380, 343, 8188, 14, 1806, 16, 14, 4566, 1640, 338, 27, 28, 3472, 576, 254, 15, 12680, 944, 15610, 587, 2520, 4, 5258, 310, 1162, 347, 16, 8235, 19, 4, 248, 17, 282, 4, 16, 8683, 361, 576, 188, 7560, 282, 313, 1649, 9748, 19948, 14, 7955, 18, 9590, 41, 48062, 374, 324, 2629, 1246, 374, 282, 2066, 939, 311, 1922, 14, 25, 23, 286, 9423, 254, 328, 328, 657, 11638, 2706, 9595, 2165, 642, 16, 512, 434, 23827, 323, 7334, 286, 3826, 18072, 14, 15, 33717, 15, 1162, 27, 933, 23, 3, 368, 25582, 188, 348, 27, 961, 452, 17, 16, 276, 2023, 4987, 779, 1041, 282, 1916, 254, 1897, 374, 14, 10293, 368, 3609, 1062, 4, 38349, 14, 254, 15, 328, 15513, 28, 14, 15813, 390, 13065, 5322, 0, 54, 8677, 15, 16, 625, 348, 22, 5942, 276, 27294, 19, 3402, 361, 254, 1201, 476, 276, 1096, 353, 286, 16, 18489, 374, 8393, 432, 8159, 26255, 15718, 434, 269, 10827, 1826, 18, 513, 835, 276, 603, 743, 633, 15813, 772, 39946, 657, 748, 1201, 286, 811, 18, 839, 5585, 28, 25, 282, 16, 282, 1180, 16, 1921, 33, 3, 14, 1652, 495, 276, 2868, 276, 428, 14, 3428, 4028, 1051, 17, 1026, 321, 1834, 12638, 3867, 555, 311, 3083, 324, 830, 48062, 18, 801, 403, 254, 18451, 1110, 286, 1834, 27, 4351, 16, 16, 353, 748, 1305, 343, 15, 18, 23, 16, 25, 265, 3551, 21, 16560, 1916, 10003, 286, 6109, 19, 2811, 512, 751, 8340, 650, 374, 43, 313, 4856, 743, 650, 374, 9163, 27, 790, 248, 11638, 790, 960, 1201, 7608, 274, 21, 14, 20, 20399, 327, 839, 7998, 327, 44013, 18, 26946, 841, 1248, 273, 248, 2283, 16, 16, 39753, 1223, 395, 17511, 2300, 188, 254, 4807, 16, 286, 248, 14, 18179, 432, 22, 15813, 18, 254, 2426, 0, 1096, 36949, 79, 3561, 436, 3821, 1391, 997, 348, 6690, 361, 1205, 1096, 1916, 19, 1652, 248, 16964, 15, 495, 276, 9421, 14, 865, 495, 9641, 633, 81, 188, 6101, 28, 650, 390, 20, 781, 18179, 8033, 2046, 14724, 18, 254, 29101, 248, 1580, 273, 1964, 1111, 369, 286, 248, 6429, 321, 811, 324, 11658, 29234, 14, 79, 14, 323, 28107, 3835, 13242, 2449, 561, 188, 16, 2024, 4028, 1322, 254, 18, 18, 633, 790, 939, 27, 338, 15813, 434, 330, 695, 8930, 11989, 188, 747, 3609, 8677, 11638, 5837, 22, 79, 248, 3206, 3133, 4619, 374, 269, 2165, 593, 819, 980, 374, 3, 22, 43932, 801, 479, 3510, 23945, 17, 254, 5241, 5529, 751, 16, 286, 12766, 274, 7697, 276, 4347, 10628, 43076, 27, 21, 5527, 18, 16, 272, 324, 14, 18531, 1396, 1364, 15, 555, 274, 374, 11875, 5569, 14, 561, 47866, 4684, 15, 36949, 188, 276, 28, 16, 45366, 428, 14, 248, 254, 11559, 43511, 254, 16, 11638, 16480, 452, 24, 1435, 595, 16, 2075, 321, 60, 374, 254, 1741, 17, 26946, 323, 17670, 1212, 4273, 13327, 4358, 14, 353, 1096, 286, 779, 1038, 727, 2065, 16209, 417, 18266, 2046, 1201, 495, 274, 403, 30217, 368, 5258, 3300, 27, 32576, 772, 324, 254, 16, 374, 19, 15, 282, 1012, 407, 14, 26, 1594, 20, 19, 772, 510, 18179, 1201, 328, 15, 310, 11518, 813, 348, 4358, 16, 21, 369, 282, 790, 14, 2490, 14, 254, 328, 913, 2941, 387, 32576, 18179, 5258, 7702, 15397, 452, 16, 282, 374, 27, 188, 85, 495, 495, 3, 14, 19649, 26946, 1012, 10560, 2086, 374, 11750, 3831, 3300, 368, 27, 5942, 5897, 3684, 368, 10852, 12426, 3510, 27, 15690, 4173, 18, 3, 12426, 14, 16, 254, 188, 5897, 188, 5553, 28, 5383, 19, 6459, 338, 900, 3867, 10739, 3, 0, 3, 286, 665, 25, 3472, 626, 254, 18179, 1212, 18, 1096, 4279, 2367, 8930, 650, 719, 15848, 14, 2086, 18, 79, 731, 79, 624, 18, 650, 188, 361, 1953, 449, 282, 401, 33897, 1594, 27047, 276, 376, 26946, 4625, 254, 1903, 282, 254, 22, 5258, 1004, 14, 348, 428, 1201, 1652, 9748, 8340, 432, 5527, 324, 4, 22, 1091, 3418, 3133, 343, 6319, 18, 852, 4, 21, 14, 5837, 360, 274, 16, 374, 3132, 0, 1250, 444, 22, 11638, 33717, 11437, 16, 248, 30424, 27, 554, 1500, 432, 14, 338, 14, 15, 92, 22, 3046, 273, 71, 374, 0, 343, 188, 2065, 22, 338, 33699, 11951, 188, 18, 5991, 512, 30308, 813, 20, 14, 7530, 22, 15813, 1012, 688, 1143, 254, 407, 15813, 254, 324, 1766, 24, 14, 16, 20, 188, 338, 41322, 0, 16, 20, 1782, 1248, 0, 43, 576, 555, 10408, 36949, 4, 14, 11638, 414, 403, 310, 13243, 188, 30559, 25940, 36241, 374, 18451, 963, 3270, 2867, 374, 16, 4, 671, 282, 30829, 1156, 769, 282, 16, 20, 353, 1779, 254, 20, 5574, 1250, 20, 18, 18, 2778, 44825, 18, 7439, 286, 282, 5258, 1963, 5861, 6423, 1218, 274, 633, 53, 36949, 4987, 344 ]
[ 1, 3165, 26, 5802, 580, 520, 308, 7917, 33964, 375, 29435, 276, 390, 443, 2987, 27940, 3840, 42695, 7185, 2016, 30130, 286, 915, 457, 610, 555, 650, 282, 641, 282, 1116, 14, 1939, 327, 16, 85, 956, 610, 254, 1385, 442, 14, 14, 15, 452, 276, 726, 274, 1026, 369, 17594, 3149, 457, 327, 532, 311, 29, 327, 751, 15, 274, 7332, 1111, 8642, 769, 254, 16, 3066, 10615, 24202, 16611, 414, 3653, 5017, 40933, 24808, 944, 14, 626, 374, 17324, 311, 36524, 1527, 14, 496, 85, 1083, 353, 2710, 3177, 71, 12421, 4314, 1874, 46423, 188, 836, 4214, 286, 11965, 4597, 14, 4254, 8892, 46423, 900, 512, 9941, 9140, 401, 3879, 327, 7644, 10175, 1874, 429, 282, 282, 688, 4214, 1874, 14, 573, 1851, 8892, 311, 263, 693, 2692, 2057, 1099, 254, 1223, 650, 311, 9400, 520, 254, 254, 7338, 41871, 3574, 18741, 1268, 533, 14, 2435, 763, 3989, 274, 274, 1856, 769, 14, 14, 254, 2770, 1125, 13707, 274, 254, 452, 274, 254, 9642, 282, 9166, 19937, 254, 16, 29, 29, 21051, 276, 274, 328, 944, 254, 1232, 843, 29512, 3653, 2508, 254, 254, 2424, 274, 3228, 19185, 6596, 2177, 10135, 254, 666, 3771, 274, 1503, 254, 15, 53, 1649, 4829, 321, 12183, 73, 729, 2486, 274, 10236, 14, 1499, 4617, 8558, 2213, 14, 286, 44311, 8566, 318, 248, 2094, 4422, 1707, 254, 254, 1111, 2332, 610, 3015, 348, 286, 7338, 286, 2504, 5655, 286, 7141, 8389, 683, 8882, 286, 4143, 417, 670, 1111, 85, 2636, 452, 327, 254, 5655, 944, 345, 343, 48138, 756, 360, 2710, 324, 248, 4344, 37640, 16, 2152, 1111, 264, 1081, 587, 14, 3956, 457, 12421, 14, 17375, 7503, 17324, 9947, 20880, 457, 24, 819, 2228, 13588, 282, 8915, 274, 17769, 4313, 274, 14, 26653, 29, 14106, 1143, 1318, 255, 2378, 5935, 26021, 33859, 18552, 9839, 86, 1837, 520, 248, 16, 14, 417, 14809, 1519, 28826, 263, 1919, 274, 387, 18, 1767, 826, 6795, 12421, 3626, 274, 272, 16, 254, 471, 286, 671, 1004, 6908, 254, 666, 16, 86, 839, 16, 3414, 85, 23888, 772, 713, 328, 7549, 26624, 3653, 11250, 1111, 1116, 1045, 772, 7005, 14, 254, 286, 3202, 3879, 254, 282, 372, 274, 863, 496, 6569, 1544, 374, 276, 282, 944, 4130, 4617, 1440, 311, 533, 2177, 353, 1225, 2636, 248, 14654, 750, 43573, 311, 520, 624, 642, 28, 666, 2421, 1111, 1081, 34269, 14, 980, 9340, 6480, 642, 1422, 254, 5520, 16, 407, 267, 665, 24, 763, 603, 5480, 9125, 8558, 6397, 15, 3653, 2019, 4504, 274, 16, 34577, 5815, 311, 19814, 254, 8149, 1348, 3653, 5017, 85, 1111, 772, 5585, 2687, 84, 8662, 285, 282, 343, 3653, 532, 1992, 9839, 4293, 317, 254, 1402, 14, 321, 683, 1592, 308, 1603, 12683, 8446, 580, 4957, 11, 836, 16, 7726, 1090, 282, 1608, 282, 7150, 286, 19475, 188, 18, 1223, 457, 39193, 274, 2779, 2758, 12881, 1218, 3335, 4500, 1970, 11209, 1111, 2563, 262, 580, 16100, 45678, 871, 14, 19506, 8707, 1767, 47376, 13797, 13343, 5017, 457, 13567, 1996, 1806, 14, 327, 16, 580, 457, 254, 501, 11409, 5926, 407, 4005, 12683, 5498, 414, 1051, 274, 1874, 573, 20215, 3148, 328, 8930, 11066, 5880, 2499, 311, 4204, 671, 763, 4465, 6214, 3972, 334, 3751, 1129, 3223, 12442, 398, 1608, 16, 17324, 2177, 1928, 1910, 1309, 19, 610, 6788, 23755, 650, 319, 7124, 883, 19, 1318, 14, 7141, 25634, 85, 747, 15, 1735, 282, 4617, 23066, 3408, 1125, 1318, 4022, 44473, 330, 455, 18, 769, 2427, 15, 1608, 398, 457, 19536, 597, 16, 311, 14, 1756, 748, 28, 1748, 254, 303, 11119, 311, 311, 688, 2514, 4378, 457, 1606, 3233, 4402, 756, 14, 27950, 3653, 2421, 843, 73, 1181, 6397, 2019, 286, 671, 343, 8775, 758, 282, 1628, 13384, 14, 30973, 16, 5144, 8325, 254, 248, 286, 16, 1795, 248, 25944, 533, 282, 248, 1874, 2715, 403, 30153, 6936, 12818, 276, 457, 380, 769, 274, 16365, 14, 327, 457, 520, 555, 624, 763, 835, 452, 282, 2393, 756, 85, 334, 282, 3233, 24301, 14, 16, 9875, 1322, 532, 85, 282, 1157, 21293, 324, 21646, 5353, 311, 1111, 188, 282, 248, 389, 10587, 785, 274, 683, 37486, 254, 4701, 447, 16, 254, 939, 1111, 286, 663, 14, 348, 3299, 593, 254, 807, 1604, 254, 254, 5017, 436, 1963, 15, 2472, 565, 276, 254, 254, 16, 14, 254, 353, 2349, 6907, 327, 1068, 7325, 1996, 3452, 19515, 28633, 1269, 5802, 14848, 780, 19453, 2450, 22763, 15, 19682, 39193, 462, 311, 12064, 274, 21908, 8873, 417, 3574, 7005, 330, 956, 274, 327, 1247, 19, 34757, 10114, 324, 390, 471, 13034, 16498, 5786, 274, 2697, 15974, 27168, 1938, 4479, 46837, 33964, 254, 974, 1111, 6331, 8069, 457, 22627, 327, 24125, 343, 14, 12721, 3879, 563, 32496, 1795, 457, 310, 570, 4491, 343, 16, 16, 7141, 2636, 3299, 753, 353, 1111, 1116, 282, 3653, 16395, 276, 2177, 25832, 1857, 254, 274, 1042, 327, 16, 6214, 593, 254, 382, 274, 743, 12377, 14, 1221, 14, 309, 16, 16, 2450, 286, 533, 457, 3730, 353, 45454, 1789, 4647, 36681, 11538, 248, 14, 1837, 254, 2024, 14, 34803, 563, 20544, 254, 33964, 1041, 13317, 432, 932, 327, 282, 282, 23957, 282, 944, 39193, 1305, 2906, 348, 4647, 665, 16118, 1735, 314, 286, 440, 25313, 2591, 1116, 975, 14, 772, 457, 254, 3409, 4489, 23798, 16, 15449, 1860, 457, 254, 286, 250, 254, 327, 36964, 3653, 276, 3082, 387, 274, 1385, 15, 16, 1742, 5808, 28158, 282, 2508, 8892, 3548, 665, 274, 533, 28543, 254, 14, 3653, 2912, 282, 7583, 9817, 896, 1514, 2207, 695, 1322, 14, 10092, 248, 390, 3790, 188, 254, 16, 4293, 5431, 2306, 327, 417, 334, 254, 1939, 671, 1563, 285, 8560, 8117, 13027, 6122, 274, 280, 11065, 248, 352, 8892, 85, 3574, 321, 16, 40950, 248, 282, 348, 345, 286, 3030, 282, 15, 417, 7005, 532, 1099, 452, 387, 85, 2142, 587, 14854, 1186, 14, 1225, 6795, 2245, 254, 14, 382, 374, 282, 14, 85, 29, 276, 4701, 1606, 248, 29749, 85, 685, 2963, 11098, 643, 318, 85, 9108, 641, 1756, 624, 282, 254, 282, 785, 28, 286, 8149, 11804, 1111, 10092, 9915, 254, 1141, 432, 5839, 769, 11098, 13733, 471, 15, 286, 3520, 343, 520, 254, 4682, 254, 626 ]
[ 1, 9397, 254, 555, 311, 9629, 12719, 494, 3398, 11177, 188, 2306, 801, 18296, 11532, 16, 282, 394, 774, 3027, 1242, 12192, 581, 17055, 368, 3587, 31360, 441, 4282, 555, 276, 532, 3203, 441, 16, 286, 274, 286, 328, 18, 2497, 729, 16, 327, 324, 6206, 590, 3409, 713, 27177, 282, 3587, 17287, 188, 452, 2072, 286, 4436, 1841, 311, 3899, 2521, 15, 348, 282, 276, 839, 14, 2591, 1899, 3745, 14388, 3961, 4356, 11, 16, 40774, 11608, 931, 324, 254, 14, 2543, 555, 254, 2218, 872, 23407, 3559, 417, 665, 16, 3600, 933, 1212, 12719, 8153, 5009, 452, 323, 26, 736, 533, 360, 286, 729, 254, 368, 14, 274, 452, 16, 16791, 839, 85, 311, 533, 7258, 343, 28, 274, 276, 7623, 38, 248, 16275, 4902, 801, 14, 2408, 1193, 17422, 16, 14, 16, 407, 38917, 4708, 774, 4235, 16, 324, 756, 282, 23859, 7923, 3083, 23412, 3202, 1449, 1045, 587, 327, 513, 931, 282, 14, 12160, 25885, 8852, 248, 20312, 20312, 1756, 311, 19319, 2818, 338, 1841, 4708, 77, 6707, 360, 282, 14, 915, 42600, 338, 1648, 3398, 254, 248, 12347, 6079, 2951, 14, 11197, 327, 276, 16, 931, 399, 2873, 353, 931, 1993, 8870, 5532, 282, 85, 2218, 663, 16, 2964, 7193, 2258, 14, 8427, 248, 14, 1364, 6079, 368, 282, 434, 939, 254, 15250, 311, 248, 390, 188, 324, 314, 20703, 310, 587, 1212, 3402, 286, 13010, 282, 40135, 4994, 14, 3860, 274, 6904, 2153, 6422, 26151, 3398, 6112, 4341, 7729, 254, 533, 314, 975, 188, 774, 390, 188, 772, 37, 0, 16, 360, 4282, 7382, 254, 432, 1281, 38169, 282, 564, 452, 2153, 254, 5212, 282, 3600, 390, 587, 274, 17347, 274, 854, 7623, 1280, 23285, 387, 403, 16, 286, 1863, 282, 11608, 13533, 633, 1822, 772, 2006, 476, 32750, 4566, 188, 16, 27294, 276, 877, 18133, 603, 327, 2657, 11073, 15521, 321, 274, 596, 35785, 16695, 268, 6894, 254, 769, 3889, 2218, 4865, 188, 1659, 3398, 274, 839, 276, 5553, 4235, 282, 5656, 417, 321, 4513, 13227, 23285, 16, 11, 1635, 35523, 6516, 16, 16, 44701, 1460, 839, 368, 368, 9837, 2914, 276, 4532, 24146, 13130, 5256, 10160, 14, 452, 343, 633, 3310, 11762, 8943, 282, 35785, 327, 16, 3587, 10200, 615, 188, 3258, 1663, 4010, 452, 3124, 282, 441, 37698, 16, 3600, 11, 286, 633, 9701, 12761, 11258, 1639, 7552, 286, 343, 390, 324, 7923, 3398, 188, 555, 2153, 9999, 4078, 1212, 836, 686, 441, 286, 7446, 2517, 1884, 3373, 390, 555, 772, 1068, 512, 3600, 325, 4703, 441, 274, 1323, 403, 669, 29591, 3510, 248, 423, 324, 633, 188, 4436, 0, 641, 2449, 37965, 7155, 1315, 740, 403, 3258, 21205, 1648, 14, 22596, 311, 836, 6140, 282, 311, 774, 772, 27294, 360, 22145, 1460, 40282, 16, 4235, 931, 4139, 47828, 254, 5795, 633, 17555, 343, 360, 310, 772, 328, 774, 407, 254, 16, 5427, 510, 274, 14658, 272, 282, 2714, 16, 1755, 587, 248, 7923, 16, 1278, 561, 5666, 17422, 933, 4513, 17194, 2155, 1460, 1678, 2409, 772, 28, 4235, 3279, 286, 16, 7623, 481, 5346, 8852, 441, 587, 16, 5569, 321, 348, 931, 286, 1460, 286, 4024, 23214, 1884, 7923, 14, 8118, 615, 960, 390, 327, 1368, 1063, 286, 276, 555, 772, 555, 282, 8130, 323, 188, 729, 819, 286, 24756, 368, 1093, 343, 603, 368, 436, 1026, 14, 47949, 774, 16, 755, 3621, 11960, 3738, 248, 328, 4850, 3373, 390, 360, 8852, 403, 22, 457, 273, 4850, 324, 439, 4242, 11476, 254, 3203, 5194, 23074, 8112, 2464, 2992, 368, 8969, 276, 2349, 13610, 8899, 324, 310, 286, 643, 286, 918, 756, 14, 274, 596, 348, 390, 587, 369, 15174, 360, 274, 25187, 324, 26421, 3066, 2155, 3133, 16695, 16027, 5827, 374, 1982, 254, 665, 650, 1303, 633, 591, 13860, 286, 457, 6646, 3783, 16, 7617, 1212, 1640, 2961, 774, 3768, 387, 276, 24245, 188, 2263, 3600, 40845, 1938, 1648, 38649, 311, 772, 2705, 839, 745, 1648, 13860, 387, 1460, 22836, 285, 254, 368, 10844, 286, 417, 6053, 360, 4436, 633, 343, 10782, 471, 21034, 6646, 407, 1050, 282, 85, 5129, 274, 5054, 368, 5795, 7100, 774, 16695, 1074, 1572, 3134, 368, 15, 14, 5741, 17422, 327, 14, 865, 3661, 24066, 11048, 4698, 314, 772, 3, 1659, 432, 3835, 1639, 2482, 14, 282, 626, 1130, 13396, 2632, 17347, 348, 10464, 14627, 1993, 2672, 14721, 331, 343, 4918, 8770, 6079, 314, 7345, 2497, 282, 1162, 3134, 390, 188, 481, 9929, 286, 1678, 7326, 3134, 5585, 248, 5565, 25293, 8680, 8251, 34, 1286, 0, 286, 46244, 248, 587, 37601, 16, 3227, 16695, 1596, 441, 327, 537, 16, 327, 348, 1460, 772, 7528, 12347, 8899, 1193, 3073, 642, 327, 1385, 1212, 633, 76, 633, 353, 282, 9055, 16, 9285, 282, 889, 327, 16, 19, 16, 1303, 3600, 513, 772, 274, 2543, 24788, 9837, 977, 417, 19338, 2546, 286, 17422, 274, 254, 2153, 3860, 343, 1767, 2543, 14, 7617, 286, 2543, 1493, 2914, 14, 643, 3310, 1321, 17347, 633, 7623, 5429, 17347, 7386, 582, 2034, 14, 6093, 254, 286, 665, 282, 2517, 273, 679, 11645, 5795, 38, 286, 452, 7193, 5123, 15410, 38, 3258, 274, 1336, 4638, 7623, 5925, 6363, 440, 15, 76, 34081, 417, 3577, 282, 254, 282, 29283, 5041, 282, 14, 11582, 3134, 276, 2591, 2960, 327, 440, 387, 282, 390, 286, 14, 314, 15, 42191, 3751, 2181, 4532, 6206, 7542, 286, 8112, 8464, 274, 286, 5464, 276, 5028, 14, 85, 889, 4680, 33150, 597, 188, 254, 368, 353, 286, 671, 3316, 282, 6353, 633, 471, 368, 19287, 452, 254, 836, 24637, 14, 360, 19, 10872, 6442, 633, 785, 642, 19147, 3203, 188, 254, 328, 2186, 772, 4017, 2824, 254, 615, 276, 13349, 85, 282, 353, 327, 20755, 328, 282, 2517, 1041, 368, 282, 328, 436, 274, 2131, 889, 53, 772, 8946, 16, 7382, 16, 40312, 0, 826, 16628, 14, 14, 4532, 4426, 282, 834, 23464, 510, 16, 14, 633, 872, 3258, 274, 282, 642, 6206, 2304, 4087, 747, 749, 311, 3258, 343, 1516, 390, 328, 314, 642, 2181, 1920, 403, 763, 615, 2951, 11295, 16, 274, 3180, 513, 310, 1423, 4356, 27358, 642, 452, 2662, 1232, 510, 14, 16, 5058, 13491, 669, 30934, 1507, 321, 3203, 348, 188, 276, 9823, 286, 14346, 3778, 343, 633, 24066 ]
[ 1, 188, 368, 282, 16, 933, 327, 368, 286, 785, 327, 5256, 2694, 14, 6236, 248, 328, 286, 188, 18796, 16, 43, 368, 15813, 286, 14, 314, 17397, 1041, 254, 17627, 587, 273, 188, 311, 282, 274, 476, 2523, 8513, 2367, 0, 26, 343, 26, 561, 4458, 20, 1499, 1153, 13102, 26, 4793, 16, 1153, 11263, 1444, 731, 900, 2958, 276, 18637, 695, 248, 671, 671, 7363, 2732, 785, 6408, 248, 513, 18, 11, 2034, 35299, 188, 368, 1125, 3277, 3571, 1041, 188, 607, 25, 282, 3184, 387, 1547, 286, 380, 6939, 348, 324, 1330, 16, 4426, 4045, 12605, 21, 751, 15, 1002, 933, 2666, 4466, 3277, 1663, 14, 3551, 665, 26, 13492, 16, 785, 2942, 7465, 1321, 1153, 274, 4239, 65, 7554, 452, 282, 1663, 4602, 888, 561, 6446, 682, 7541, 310, 14, 865, 403, 3551, 327, 274, 254, 3290, 25, 587, 16, 1635, 3095, 633, 248, 282, 417, 1286, 3956, 324, 555, 310, 7155, 13679, 14, 14, 671, 14, 3191, 436, 16, 23, 628, 6408, 671, 10972, 25, 274, 5322, 4681, 18796, 274, 272, 338, 282, 26, 272, 254, 512, 1521, 15, 872, 1890, 452, 2501, 7273, 555, 31211, 8770, 324, 282, 3184, 1056, 4414, 8513, 9863, 274, 960, 403, 321, 671, 360, 276, 343, 286, 21, 16, 327, 671, 16, 5166, 626, 348, 6326, 772, 4239, 8920, 286, 2586, 3936, 747, 254, 8770, 3233, 256, 2586, 839, 21, 785, 16974, 1610, 2072, 343, 4239, 188, 251, 254, 8513, 282, 274, 628, 23, 1294, 286, 1012, 633, 3290, 29569, 633, 11146, 311, 16, 282, 254, 16, 11214, 22180, 286, 254, 9123, 8513, 368, 20, 587, 1921, 343, 587, 324, 272, 8873, 633, 5445, 403, 286, 3856, 561, 417, 14, 282, 14, 9604, 10972, 915, 9929, 343, 1725, 618, 2367, 286, 417, 1354, 26, 14, 25, 16, 628, 282, 286, 432, 282, 47, 536, 867, 16, 274, 14, 2304, 1516, 23207, 17397, 4829, 282, 276, 22040, 26, 15, 14, 1247, 811, 4442, 286, 2966, 512, 15, 9282, 3936, 254, 2694, 311, 665, 8349, 23, 368, 282, 26, 1052, 26, 327, 633, 16, 282, 715, 14414, 11477, 476, 3184, 13783, 368, 276, 1395, 4239, 811, 254, 1515, 368, 14, 16, 276, 368, 12308, 282, 368, 597, 2501, 35877, 11882, 282, 327, 343, 282, 9828, 286, 15, 3316, 633, 7815, 2214, 1845, 1390, 4622, 28304, 1218, 2245, 25728, 476, 963, 944, 1213, 368, 13492, 327, 321, 274, 254, 368, 657, 286, 254, 14, 282, 274, 3541, 671, 2501, 1052, 633, 2328, 18796, 11343, 2586, 1426, 1041, 12587, 2501, 35299, 7554, 254, 13562, 286, 6287, 8521, 533, 4850, 839, 848, 380, 16, 25, 888, 15463, 633, 9458, 348, 14, 2344, 16, 6408, 1153, 785, 286, 22040, 555, 452, 633, 286, 587, 407, 21, 452, 21154, 16, 5256, 17397, 2543, 633, 1093, 248, 12877, 751, 368, 286, 282, 13897, 944, 839, 4503, 512, 16, 3269, 1153, 6233, 2214, 368, 650, 19, 282, 274, 671, 7148, 272, 2377, 368, 931, 1574, 65, 324, 282, 14099, 311, 665, 2332, 4589, 18796, 16, 1563, 944, 8513, 1390, 387, 4236, 867, 772, 34450, 16, 254, 11187, 848, 432, 633, 348, 872, 274, 27, 324, 2344, 4665, 21685, 2485, 5085, 21685, 1652, 2497, 513, 7674, 633, 14451, 16, 273, 2344, 286, 3202, 618, 9899, 16, 248, 596, 5934, 286, 368, 16111, 26, 1017, 5379, 254, 3831, 91, 4645, 282, 27, 368, 4686, 35299, 16, 254, 14, 729, 18796, 38582, 1052, 1521, 348, 286, 311, 2225, 643, 23, 2497, 274, 6499, 321, 2034, 18796, 0, 597, 536, 21, 8117, 510, 35299, 587, 618, 254, 2445, 5053, 274, 26, 403, 14, 1603, 6902, 3095, 16, 3027, 276, 1514, 839, 2942, 10628, 14, 35299, 387, 35299, 368, 3269, 16, 18, 286, 657, 343, 254, 826, 343, 16, 536, 457, 1354, 16, 5246, 2367, 16, 674, 5256, 3203, 353, 403, 671, 254, 7109, 11567, 1093, 3184, 282, 3426, 387, 276, 282, 17397, 4462, 374, 6255, 14, 7980, 5166, 254, 587, 18796, 12101, 751, 248, 2103, 403, 18903, 5329, 8549, 282, 8770, 669, 21, 432, 15, 867, 321, 254, 368, 1242, 633, 633, 27, 2523, 282, 15, 944, 417, 15, 343, 3683, 1438, 1242, 188, 2694, 188, 343, 4502, 657, 248, 35299, 476, 587, 1491, 7320, 561, 4558, 17652, 1305, 25, 282, 11917, 643, 14053, 11580, 324, 311, 327, 254, 4813, 15, 35299, 2586, 10243, 6995, 748, 2501, 286, 16, 1847, 1903, 3109, 16, 1460, 1153, 6494, 26, 286, 368, 2819, 1309, 8513, 1903, 1153, 254, 1012, 276, 8770, 44367, 1822, 248, 25, 360, 328, 286, 687, 8349, 360, 4442, 368, 5751, 15826, 1499, 21685, 1247, 407, 286, 282, 16, 2344, 1916, 7732, 618, 1062, 625, 286, 14, 368, 16, 5263, 276, 476, 282, 282, 643, 944, 758, 254, 8513, 276, 657, 311, 14, 1247, 3490, 1438, 865, 668, 254, 597, 4163, 977, 563, 35384, 18, 248, 801, 368, 1090, 286, 65, 310, 2041, 2103, 282, 14, 6408, 16, 772, 663, 19, 2974, 5145, 9630, 1330, 254, 1438, 5166, 7148, 633, 26, 282, 1847, 1241, 2056, 19946, 1838, 12100, 14, 2545, 2187, 25, 18, 16, 452, 848, 1782, 768, 826, 324, 8669, 276, 1286, 961, 657, 432, 7528, 633, 14, 963, 282, 5511, 1125, 2974, 387, 452, 3477, 4610, 353, 1817, 2344, 368, 286, 4686, 513, 16, 6902, 3184, 24406, 310, 9115, 555, 11645, 521, 19946, 6803, 19, 1637, 16, 254, 1260, 65, 254, 597, 282, 6750, 9567, 324, 321, 1741, 452, 1438, 368, 274, 3426, 16, 276, 282, 274, 282, 4877, 839, 4610, 19, 286, 4242, 254, 16, 188, 9115, 17158, 11055, 254, 1782, 286, 1368, 188, 2066, 368, 2732, 19946, 12140, 14, 27, 16, 34613, 5322, 2501, 188, 3462, 1640, 12147, 14, 65, 10972, 867, 839, 254, 3265, 8028, 839, 3458, 0, 441, 5362, 4772, 16, 2956, 26, 311, 8112, 3316, 8513, 254, 10276, 1245, 900, 324, 3858, 26, 286, 432, 14, 751, 10786, 248, 25, 16, 254, 4419, 17010, 16043, 338, 282, 942, 4877, 507, 8513, 1153, 1521, 21, 16, 343, 665, 14158, 512, 359, 14, 1153, 311, 848, 1470, 14, 7336, 14, 4042, 3462, 3875, 16, 5114, 633, 4646, 343, 4239, 2367, 4341, 360, 3699, 15, 1919, 11399, 343, 4605, 19658, 1767, 16, 8177, 2152, 343, 21, 311, 286, 7806, 3418, 3778, 1074 ]
[ 1, 1356, 6505, 302, 5318, 90, 65, 538, 65, 188, 28669, 16814, 10424, 7679, 16814, 18293, 875, 804, 647, 65, 10, 426, 12786, 347, 1864, 1369, 9840, 7075, 2192, 9, 1139, 61, 37073, 842, 36022, 7679, 870, 3733, 16, 10, 1554, 604, 6262, 17233, 16, 426, 477, 65, 1262, 2107, 61, 1369, 10, 3226, 7123, 3839, 10, 4757, 11, 7075, 647, 10113, 2757, 82, 6262, 3494, 11469, 3933, 426, 558, 791, 28933, 188, 15, 5216, 47068, 65, 1076, 1827, 4324, 477, 3185, 534, 8676, 16, 51, 10, 1631, 16220, 647, 188, 2192, 8623, 684, 1139, 477, 789, 324, 647, 558, 3185, 8037, 2192, 30723, 8382, 2256, 1358, 1827, 426, 15, 7910, 684, 5, 558, 14, 23842, 75, 16, 6896, 3083, 789, 88, 324, 1711, 63, 1262, 14973, 1631, 65, 7954, 1246, 426, 680, 18, 6688, 1465, 5401, 75, 16, 647, 898, 14, 14, 917, 14, 31, 3083, 9, 14018, 5216, 14, 90, 898, 3737, 63, 26391, 84, 647, 10212, 347, 90, 3226, 65, 1827, 81, 426, 31311, 17373, 16814, 5313, 477, 926, 14, 647, 360, 10445, 751, 14396, 6688, 15166, 681, 7412, 426, 34255, 32931, 784, 188, 65, 1800, 65, 426, 883, 278, 3839, 3933, 426, 6505, 2224, 65, 12639, 584, 784, 11756, 33, 65, 26391, 74, 278, 314, 16, 2255, 16814, 22070, 15, 30855, 14, 17, 90, 2384, 30855, 8623, 3176, 3226, 550, 90, 15, 1992, 9, 61, 647, 6262, 65, 31, 1711, 27230, 43959, 27542, 14973, 90, 684, 1076, 5868, 784, 543, 4759, 487, 898, 324, 3839, 16, 2530, 15, 10, 28933, 14, 3839, 63, 8702, 188, 19, 647, 23, 68, 10, 10, 1139, 647, 188, 90, 188, 14, 3125, 1356, 18, 188, 455, 2360, 2306, 21575, 3494, 1333, 16759, 65, 2012, 426, 3377, 1139, 1067, 43089, 16220, 16247, 7038, 65, 20, 7679, 276, 455, 188, 2192, 647, 25087, 928, 1076, 188, 477, 3839, 619, 6990, 791, 647, 14, 28, 10997, 9436, 1551, 14, 6262, 16, 28933, 20679, 30855, 14, 15, 6990, 426, 604, 65, 1210, 647, 43849, 3839, 2360, 440, 1992, 4757, 3570, 14973, 1262, 6359, 2360, 9, 10212, 4757, 2662, 1631, 188, 1800, 1139, 1369, 1465, 4752, 188, 16, 2306, 188, 426, 647, 65, 1037, 4759, 15, 10, 11, 9431, 30541, 1262, 19032, 426, 1827, 3185, 86, 2343, 804, 278, 3839, 65, 85, 10409, 90, 278, 65, 14, 3584, 8553, 1333, 13729, 3933, 426, 7766, 41220, 2621, 276, 1077, 477, 1079, 18368, 576, 3839, 28933, 10, 14661, 3320, 65, 6262, 5, 10, 21435, 14, 61, 65, 4862, 65, 1720, 188, 188, 85, 1077, 299, 25087, 21, 247, 35654, 3839, 4015, 93, 926, 10, 10, 16, 83, 1510, 15, 37073, 28, 477, 9, 6720, 14, 16220, 65, 2015, 5401, 16732, 426, 90, 28050, 1356, 455, 16, 10, 8488, 475, 14, 7209, 16220, 8018, 3135, 31311, 9436, 18, 5, 188, 188, 681, 604, 513, 1076, 29761, 20, 276, 1262, 16205, 2614, 1139, 3107, 647, 17, 65, 883, 19, 63, 18, 426, 24, 5901, 65, 21, 6720, 15415, 11400, 56, 567, 5141, 2192, 13882, 65, 1262, 2192, 247, 426, 65, 3226, 278, 1160, 567, 7707, 603, 188, 85, 8546, 14984, 1076, 1210, 61, 6505, 61, 188, 8, 804, 7954, 791, 9431, 65, 477, 477, 477, 13689, 10, 74, 5, 3083, 647, 13882, 10, 90, 6990, 63, 16, 3407, 668, 6205, 10445, 3839, 90, 684, 6262, 28, 7954, 90, 426, 65, 247, 426, 18, 567, 3434, 4015, 16, 6896, 15415, 65, 65, 426, 7954, 17, 647, 5141, 65, 30855, 1067, 784, 751, 3933, 842, 16814, 681, 19, 684, 21, 12639, 43849, 426, 5868, 324, 1800, 477, 16, 11316, 188, 8037, 188, 3125, 3839, 1079, 347, 4759, 30855, 1356, 65, 534, 10, 13689, 9376, 65, 6205, 65, 791, 9436, 65, 1992, 426, 426, 2530, 2306, 1508, 647, 86, 41220, 65, 3176, 440, 1465, 90, 543, 0, 647, 8622, 20948, 188, 3880, 63, 82, 188, 188, 32931, 2469, 3226, 426, 61, 3839, 7679, 9, 1356, 10643, 647, 1076, 47068, 1479, 7123, 1574, 6990, 1800, 647, 276, 30184, 1077, 647, 21435, 9, 9, 247, 13997, 276, 15553, 17, 16, 18, 1827, 58, 432, 10, 5141, 647, 16795, 16, 11, 33021, 6772, 284, 18368, 22673, 543, 5216, 18368, 11383, 751, 65, 90, 426, 65, 278, 3839, 15248, 647, 20127, 90, 11316, 8037, 17373, 61, 584, 917, 613, 9433, 10, 647, 82, 2360, 14973, 188, 70, 6262, 5454, 1465, 10, 575, 19, 314, 65, 3291, 188, 751, 282, 4759, 188, 90, 18, 5216, 23920, 1262, 347, 926, 16, 39708, 28669, 188, 16, 647, 188, 409, 426, 426, 2845, 61, 2089, 6990, 21, 31, 26670, 16, 65, 276, 14, 2192, 8018, 10, 804, 10740, 647, 538, 604, 426, 8488, 16, 10, 65, 2360, 24, 2517, 3821, 13543, 65, 3839, 2192, 2614, 534, 2530, 1210, 65, 310, 1554, 15, 7209, 16, 426, 9431, 16, 791, 4324, 16, 188, 3933, 604, 9433, 347, 65, 6772, 1800, 18, 6720, 604, 28933, 1358, 31, 412, 15, 647, 65, 11, 2256, 23920, 65, 6262, 90, 784, 4643, 276, 926, 3176, 16, 10, 647, 5216, 188, 10, 30855, 13882, 4759, 1077, 37073, 2719, 11469, 2089, 8909, 11, 28933, 86, 26, 12573, 567, 5868, 14973, 63, 3310, 426, 188, 2015, 14, 16, 6688, 2825, 1548, 4757, 1356, 248, 1508, 284, 1079, 15, 65, 1508, 3839, 1631, 5, 65, 5901, 65, 477, 426, 90, 3407, 804, 286, 27, 1262, 18, 3839, 647, 426, 426, 65, 302, 3839, 20948, 5216, 875, 90, 11475, 1554, 681, 2825, 11756, 14439, 604, 25159, 18436, 16814, 65, 188, 30855, 804, 4862, 278, 65, 2192, 65, 16, 31843, 13882, 3291, 11, 4759, 4862, 3476, 17, 6990, 3933, 247, 3839, 30541, 9436, 6262, 2883, 3929, 3839, 6262, 3185, 188, 1067, 4, 3839, 2290, 188, 2617, 1369, 10, 324, 7309, 9376, 14439, 5, 16, 1067, 2192, 926, 1369, 30855, 9431, 1369, 3083, 2360, 10, 647, 264, 46624, 27663, 16, 6688, 804, 16, 16, 3185, 347, 65, 95, 647, 3226, 13575, 6990, 5, 324, 23920, 61, 16205, 1217, 21, 10, 20679, 15, 613, 784, 8622, 26733, 1510, 16247, 65, 27663, 1077, 4759, 475, 10318, 1460, 18, 65, 1217, 1242, 1079, 67, 6772, 16, 65, 426, 2192, 1079, 1358, 188, 5401, 4759, 16, 70, 43849, 65, 1298, 29761, 6688, 188, 1076, 17953, 6262, 3933, 475, 65, 8207, 10212 ]
[ 1, 520, 581, 274, 25, 282, 2876, 14, 2202, 2584, 555, 6108, 12480, 248, 9899, 403, 1141, 311, 8744, 248, 14, 33, 85, 14, 254, 6837, 610, 1015, 282, 311, 900, 14, 403, 254, 3707, 610, 33645, 466, 3916, 11327, 16, 378, 276, 432, 188, 248, 439, 4254, 286, 33, 449, 354, 6949, 188, 282, 593, 14, 668, 282, 188, 6495, 16, 743, 43, 282, 1106, 16, 387, 3782, 2275, 16, 31027, 3499, 593, 596, 12622, 843, 285, 282, 6625, 1348, 1563, 1336, 282, 282, 4659, 7176, 28, 481, 615, 321, 328, 248, 12427, 248, 12646, 512, 343, 286, 286, 8745, 16, 521, 254, 2231, 188, 2809, 274, 2809, 618, 3063, 942, 1368, 16, 3236, 457, 11823, 4622, 6108, 418, 596, 2889, 8814, 1715, 266, 6612, 596, 18835, 4, 3602, 380, 274, 311, 403, 16, 343, 3612, 1480, 307, 1480, 533, 28320, 1872, 369, 9473, 2410, 327, 16, 5532, 8, 1860, 2073, 403, 668, 4183, 310, 276, 7970, 486, 0, 7049, 1017, 5511, 18171, 510, 646, 42097, 23308, 5189, 500, 14, 5230, 980, 78, 3462, 4489, 452, 286, 110, 1289, 67, 227, 715, 1920, 729, 26, 343, 2328, 18, 3768, 16, 387, 274, 23308, 2035, 16, 2072, 16005, 327, 248, 9118, 1460, 1493, 852, 274, 321, 3502, 416, 687, 37986, 30990, 20476, 441, 117, 5327, 37, 27, 3435, 248, 40021, 6350, 4801, 671, 19, 254, 276, 3899, 2876, 1910, 8238, 14, 1041, 274, 16, 20543, 3737, 581, 3621, 251, 6881, 2778, 2732, 327, 188, 282, 452, 18, 624, 16, 2130, 3916, 6068, 274, 276, 10022, 321, 11141, 286, 35, 8732, 255, 6108, 10563, 254, 15, 18, 9844, 8770, 5230, 44694, 282, 282, 715, 580, 1936, 2413, 16, 3614, 248, 254, 5146, 1141, 626, 188, 16, 1499, 533, 8, 254, 16, 282, 353, 749, 3297, 10481, 8053, 4317, 520, 18171, 5127, 22953, 799, 3899, 570, 274, 310, 2204, 33454, 615, 286, 273, 4806, 13084, 286, 1193, 219, 457, 5742, 14, 521, 14, 2410, 628, 327, 10047, 457, 13639, 27, 668, 274, 1582, 1074, 16, 282, 708, 248, 16411, 6395, 16, 29, 1250, 343, 1076, 10436, 282, 10794, 43, 22, 1516, 43, 610, 8185, 188, 3899, 4945, 33, 774, 17570, 587, 16, 2314, 869, 729, 8707, 23438, 367, 22, 274, 14, 18, 254, 3916, 310, 34041, 1110, 1872, 14, 16, 811, 14, 2875, 14, 1143, 86, 21659, 38356, 35, 1125, 254, 3737, 16, 91, 17004, 16, 188, 749, 10169, 1970, 3149, 286, 512, 35027, 33188, 40, 1910, 4548, 6211, 14, 416, 16, 0, 2723, 0, 327, 928, 22953, 43, 431, 4, 14, 27447, 2482, 1051, 324, 743, 457, 14, 624, 4254, 671, 21037, 687, 1665, 248, 476, 11, 1247, 310, 1837, 779, 11703, 801, 3988, 843, 266, 20379, 85, 3066, 27343, 974, 1582, 276, 731, 1640, 2893, 688, 14, 510, 380, 476, 44795, 110, 321, 311, 327, 14, 3233, 218, 11678, 1062, 751, 35084, 21681, 188, 3899, 286, 33188, 23050, 801, 16, 521, 1580, 360, 36698, 521, 19, 309, 38356, 1253, 915, 16, 28, 14, 282, 4144, 4, 248, 282, 7890, 593, 701, 314, 254, 254, 375, 587, 587, 328, 35027, 512, 254, 2758, 961, 669, 11703, 85, 14, 436, 387, 729, 18, 43, 53, 6948, 1444, 10824, 324, 14, 6791, 418, 20367, 29, 343, 22753, 33, 17481, 4549, 2966, 8, 18, 218, 1218, 1491, 9734, 7785, 618, 890, 15, 6753, 2405, 35027, 15175, 311, 6847, 3793, 32599, 3964, 8745, 16, 1689, 14, 2314, 512, 16, 86, 188, 6008, 360, 476, 254, 8404, 5246, 4149, 33, 1041, 5325, 35811, 38167, 4848, 747, 7890, 14799, 11678, 327, 1416, 24338, 6967, 4395, 375, 348, 608, 254, 29, 4977, 251, 1516, 311, 5532, 294, 1672, 286, 3432, 26402, 311, 6844, 9375, 18798, 587, 327, 254, 2202, 33, 276, 254, 1863, 353, 8106, 360, 188, 1580, 3335, 13546, 399, 43, 14, 21913, 3899, 743, 17083, 10762, 16, 1630, 254, 375, 5692, 248, 47315, 819, 11166, 18171, 1648, 14, 668, 11, 282, 254, 7148, 6949, 29, 452, 86, 254, 8439, 38167, 262, 338, 14, 282, 254, 618, 432, 14493, 310, 188, 336, 15, 29218, 16, 701, 26, 2057, 9938, 14, 1663, 5514, 248, 353, 18835, 3837, 18835, 27, 1093, 38167, 16, 403, 14, 695, 7691, 18, 14, 254, 734, 310, 16, 4330, 27, 395, 1926, 265, 3925, 188, 961, 729, 311, 53, 788, 15538, 6949, 2405, 16, 311, 276, 390, 5172, 1090, 4123, 254, 2501, 4458, 1640, 85, 1493, 276, 5742, 3095, 476, 4513, 756, 274, 4076, 188, 457, 1294, 403, 14, 286, 274, 307, 1212, 23308, 403, 282, 22264, 254, 3051, 403, 633, 15430, 2362, 772, 8994, 10615, 830, 2635, 248, 6211, 5077, 188, 2410, 36698, 11399, 3748, 513, 5770, 338, 29471, 331, 16, 5325, 33, 324, 1493, 272, 188, 5742, 1672, 85, 8856, 6109, 4183, 25817, 368, 35027, 248, 26234, 348, 2889, 254, 15, 254, 188, 747, 670, 14, 286, 218, 16, 18835, 254, 368, 748, 369, 13109, 2314, 343, 3921, 8262, 9609, 9535, 872, 273, 642, 310, 286, 1499, 254, 4301, 533, 14, 74, 390, 282, 428, 360, 327, 16, 668, 19885, 751, 14, 16, 7014, 615, 5532, 581, 274, 4659, 85, 633, 399, 19226, 663, 254, 27, 188, 555, 282, 21694, 670, 1583, 248, 15877, 85, 452, 18, 3452, 1438, 14, 15725, 295, 532, 16, 2497, 14, 17106, 3290, 2442, 457, 6108, 20, 16, 274, 35084, 276, 5938, 251, 15813, 13079, 24, 283, 188, 38865, 41573, 188, 715, 282, 360, 18835, 11678, 218, 4245, 375, 417, 7950, 610, 15, 18835, 9710, 4962, 457, 4243, 188, 387, 8282, 38167, 944, 4, 44814, 532, 772, 2418, 2214, 8, 27815, 1652, 610, 310, 348, 9501, 14064, 11864, 1038, 1157, 6108, 10481, 7365, 0, 282, 24, 1834, 2515, 1591, 18171, 6108, 14, 23308, 865, 3714, 1427, 1141, 3997, 1685, 375, 20566, 311, 360, 5427, 8309, 418, 10563, 254, 701, 348, 380, 942, 12974, 597, 12420, 3826, 521, 310, 16, 282, 561, 32543, 399, 2411, 713, 311, 19984, 9041, 310, 387, 22375, 587, 1247, 21567, 40642, 4622, 4513, 889, 695, 24, 452, 5321, 403, 633, 23, 1102, 274, 353, 2049, 286, 14, 274, 5891, 785, 28853, 25811, 7398, 274, 2408, 6136, 35027, 4250, 1041, 1212, 476, 254, 286, 6108, 282, 380, 28844, 286, 29, 1273, 4932, 906, 8, 1348, 626, 10886, 3144 ]
[ 1, 476, 276, 1395, 2413, 1872, 7758, 2073, 4282, 2628, 3108, 331, 23, 14, 13034, 274, 324, 286, 16, 328, 35913, 8979, 11570, 254, 10068, 1336, 2780, 2073, 16, 35, 311, 6915, 624, 476, 32442, 328, 1397, 15074, 274, 7989, 1063, 3095, 14, 248, 5919, 729, 286, 282, 248, 26, 2421, 14526, 14, 4311, 1794, 85, 14, 5381, 4524, 85, 2055, 669, 327, 3233, 16, 5049, 56, 6425, 38975, 507, 16, 1401, 10127, 2315, 1841, 6939, 8462, 434, 276, 16, 19, 12330, 26, 248, 274, 33473, 16, 282, 10179, 665, 811, 15, 3144, 85, 4667, 819, 276, 17979, 286, 3108, 555, 15327, 282, 1245, 46715, 811, 8437, 38053, 40, 282, 6824, 13839, 4452, 7008, 624, 669, 360, 743, 14, 282, 2073, 14, 254, 532, 274, 14, 14, 16, 11258, 286, 2008, 2086, 1050, 248, 311, 248, 729, 683, 3371, 8319, 9243, 1401, 327, 18, 338, 769, 1926, 25796, 403, 286, 774, 26, 587, 3199, 462, 16, 353, 25, 311, 311, 1339, 286, 1125, 2320, 1395, 188, 4087, 46439, 13260, 7434, 324, 17522, 841, 14, 2435, 20, 14, 587, 16, 343, 188, 387, 276, 428, 188, 276, 403, 248, 641, 3379, 11831, 188, 14, 9947, 633, 6384, 368, 26, 15617, 14, 188, 7150, 360, 18, 14, 1336, 248, 4452, 1619, 274, 1585, 20367, 3732, 20367, 888, 2033, 756, 30764, 3405, 2843, 26722, 3638, 2780, 343, 5745, 282, 686, 1491, 4, 274, 5919, 16, 1612, 669, 2374, 3956, 11302, 2073, 9197, 3452, 274, 1638, 457, 769, 1268, 37481, 343, 2073, 729, 403, 5342, 3015, 282, 323, 338, 343, 6301, 877, 594, 286, 1916, 1982, 343, 2066, 1682, 3888, 274, 20748, 282, 16, 0, 8756, 286, 24881, 274, 188, 2796, 1637, 476, 2196, 282, 811, 587, 327, 16, 603, 33473, 3248, 5371, 368, 85, 432, 1401, 748, 2055, 15, 16, 22973, 343, 7269, 4832, 343, 1129, 1322, 1916, 706, 286, 16, 865, 939, 274, 758, 27959, 14, 1919, 3427, 1401, 276, 274, 1336, 427, 428, 3768, 338, 2055, 6384, 39022, 15643, 2034, 390, 188, 4226, 6611, 345, 1305, 19956, 16, 282, 1074, 580, 3686, 286, 14, 3437, 36532, 13344, 274, 328, 974, 14, 2688, 14903, 19122, 286, 314, 16, 19, 1336, 6730, 368, 311, 2705, 561, 1401, 28053, 1401, 14, 457, 513, 274, 8920, 2019, 3452, 343, 7008, 3452, 10251, 513, 2876, 286, 819, 254, 338, 13496, 353, 3202, 7609, 3446, 896, 8389, 8446, 510, 44234, 2524, 6758, 449, 633, 327, 16, 12342, 9308, 2034, 1401, 25, 248, 687, 254, 338, 248, 8319, 1668, 11375, 4395, 14, 390, 633, 14, 1824, 2668, 282, 839, 282, 4123, 286, 353, 4020, 324, 481, 324, 16427, 896, 729, 286, 3506, 311, 7362, 390, 390, 2041, 731, 1129, 7434, 4540, 610, 532, 25, 751, 2863, 896, 1972, 254, 7017, 615, 2539, 14, 274, 327, 311, 1218, 321, 890, 942, 1500, 0, 254, 939, 188, 15523, 1213, 282, 16, 14, 27, 328, 954, 4087, 1401, 2086, 282, 427, 282, 15, 2073, 2987, 14903, 512, 2079, 603, 7674, 1516, 20263, 1491, 311, 19, 327, 3715, 14, 11439, 432, 26231, 14, 1063, 4540, 248, 11, 13979, 274, 633, 403, 15, 2796, 417, 15973, 188, 1926, 4105, 2363, 29838, 348, 1247, 14, 13034, 324, 395, 282, 2086, 29215, 1709, 188, 248, 2034, 476, 19, 6939, 311, 20778, 265, 27, 12101, 869, 390, 6490, 10179, 2124, 16, 248, 0, 4824, 615, 1336, 16, 248, 1321, 282, 16, 721, 248, 16, 348, 368, 533, 4432, 532, 10711, 16, 27, 16228, 321, 311, 1789, 865, 14, 368, 1339, 626, 1516, 286, 16800, 273, 274, 254, 12405, 826, 16, 1919, 476, 826, 9197, 1137, 14, 254, 775, 321, 21772, 428, 731, 387, 3437, 254, 9197, 2179, 36436, 5098, 343, 286, 18573, 3638, 3313, 1091, 834, 2073, 1538, 682, 603, 2148, 248, 1002, 286, 324, 11338, 1789, 23757, 286, 10077, 14, 593, 15, 353, 11679, 4740, 24738, 10167, 14, 457, 12382, 21252, 1851, 6477, 476, 311, 26, 15350, 10280, 188, 5983, 324, 286, 1336, 3819, 16, 2343, 2486, 188, 5057, 626, 254, 311, 282, 3646, 16, 3437, 16, 811, 26443, 1086, 889, 7300, 16, 1394, 286, 666, 1116, 338, 15534, 9470, 1041, 6137, 4524, 254, 890, 390, 14, 4254, 18461, 2079, 11111, 26712, 756, 729, 25, 3426, 10670, 4684, 286, 286, 282, 30950, 348, 12570, 14, 4524, 12551, 286, 14, 14, 3539, 12878, 33032, 807, 282, 265, 1872, 286, 9916, 26, 294, 6083, 1090, 1130, 368, 476, 403, 348, 13188, 1002, 324, 3956, 2073, 26280, 1726, 2086, 772, 436, 1851, 274, 311, 729, 274, 276, 15838, 5311, 27881, 1318, 12625, 20367, 14, 1516, 390, 633, 10022, 804, 948, 286, 25, 670, 1305, 276, 272, 28055, 811, 407, 276, 188, 407, 254, 261, 626, 5522, 13715, 282, 30764, 731, 2073, 276, 9080, 865, 1982, 10187, 533, 39419, 282, 836, 286, 417, 633, 417, 14, 330, 7313, 25, 1924, 274, 294, 580, 1401, 286, 3638, 343, 4316, 1305, 282, 42287, 3437, 7383, 274, 1336, 1034, 14, 927, 513, 2003, 1748, 25882, 25, 826, 1903, 18866, 695, 24290, 353, 615, 27106, 7674, 188, 6374, 512, 1140, 633, 612, 33473, 3638, 188, 282, 14, 669, 15155, 15155, 10925, 7786, 24661, 16, 327, 254, 512, 6013, 16, 633, 3108, 2055, 960, 24820, 248, 286, 2746, 587, 7008, 772, 14, 14, 596, 743, 633, 348, 1218, 1948, 1305, 42343, 819, 457, 1926, 520, 4, 85, 3144, 615, 16, 248, 286, 276, 254, 27, 286, 311, 338, 2086, 248, 476, 8389, 500, 1827, 3870, 16, 328, 4163, 669, 15, 3371, 33, 286, 756, 18, 865, 274, 353, 16, 8644, 247, 387, 8566, 5787, 1919, 1738, 17934, 277, 1789, 248, 286, 2926, 624, 274, 282, 16, 1269, 10596, 4507, 12900, 254, 387, 1683, 282, 417, 1401, 1569, 3941, 8042, 16, 729, 1232, 14, 3638, 959, 1395, 457, 47980, 954, 811, 633, 331, 19146, 2463, 282, 27, 14, 19791, 47, 2245, 274, 5060, 772, 314, 500, 254, 276, 420, 9915, 57, 254, 4524, 2413, 16, 975, 369, 343, 597, 1640, 16, 3026, 286, 476, 25, 14903, 14, 328, 12379, 596, 311, 10160, 338, 811, 449, 14, 22412, 7098, 248, 533, 14, 282, 328, 286, 743, 1495, 33032, 2738, 15823, 378, 2591, 4735, 811, 324, 2411, 286, 254, 14, 597, 7383, 328, 3638, 1789, 1926, 311, 3596, 2073, 729, 338 ]
[ 1, 30, 1659, 5225, 1305, 1530, 276, 10766, 1168, 14, 7193, 9204, 19, 254, 1148, 20, 3509, 1635, 281, 890, 4629, 2289, 269, 2917, 401, 18, 1168, 1056, 314, 683, 2258, 12741, 314, 7, 254, 274, 57, 18, 286, 338, 286, 2834, 5116, 16, 636, 324, 188, 390, 254, 633, 20823, 254, 2228, 16, 16, 2124, 2533, 20, 22345, 2258, 4629, 2258, 1168, 12220, 33683, 1168, 839, 687, 19, 274, 1635, 16, 248, 858, 15, 286, 2974, 401, 286, 254, 16, 3692, 248, 2982, 254, 497, 276, 785, 1330, 5381, 1305, 26, 276, 314, 14, 188, 16, 18, 1190, 1530, 85, 12741, 5066, 497, 254, 890, 23716, 14, 7168, 2591, 10596, 188, 2103, 374, 1338, 2148, 4752, 22671, 15, 20823, 14, 2353, 25, 5116, 14, 286, 14, 16, 1305, 254, 374, 1168, 1168, 1090, 82, 8756, 1500, 18, 21, 407, 19, 14, 1770, 28170, 481, 8842, 401, 8113, 11814, 745, 3681, 9967, 2545, 24908, 401, 581, 4752, 272, 286, 858, 254, 16, 444, 286, 286, 8419, 1338, 687, 26, 5164, 432, 269, 2103, 278, 374, 669, 10766, 3405, 3212, 2490, 8176, 2834, 7421, 19, 16, 15, 428, 1168, 1824, 25, 8842, 254, 1985, 11814, 1093, 481, 20, 254, 1168, 719, 8140, 14, 815, 16, 16, 5255, 16, 254, 188, 12172, 5412, 590, 13966, 22, 343, 343, 3584, 85, 2834, 16, 31, 314, 338, 2414, 3781, 3405, 25820, 2490, 16, 1162, 9300, 633, 274, 9516, 3131, 254, 2917, 3131, 19, 248, 314, 495, 30, 4744, 1240, 2834, 2974, 57, 3065, 3104, 7116, 3745, 18, 1168, 4569, 286, 890, 13270, 1921, 282, 5255, 369, 272, 286, 6117, 254, 2287, 756, 188, 26897, 51, 31, 4752, 1580, 57, 18, 37071, 20823, 85, 2628, 10392, 1129, 254, 16, 15, 286, 1338, 7193, 5562, 683, 401, 1338, 2546, 18, 16, 343, 18, 1129, 2917, 248, 4629, 581, 18, 7193, 11427, 248, 1190, 286, 248, 9967, 188, 1423, 254, 14, 273, 495, 314, 36825, 8113, 2258, 21, 12015, 338, 314, 314, 343, 1770, 7603, 1040, 4488, 16755, 1168, 380, 2103, 1168, 1240, 16, 890, 21, 18, 643, 2834, 324, 15014, 274, 51, 650, 403, 2709, 16, 1168, 32059, 420, 14, 5188, 32059, 324, 20, 31, 763, 254, 276, 1168, 14, 7168, 3443, 16, 4974, 314, 269, 18407, 314, 286, 343, 16, 4681, 785, 82, 8140, 11, 274, 188, 444, 481, 14, 40469, 403, 15, 6687, 22, 756, 2330, 10512, 7421, 19, 432, 16, 314, 276, 188, 686, 282, 18, 15, 57, 3193, 931, 254, 2352, 23, 20, 369, 254, 1240, 18, 1168, 3745, 18981, 188, 25, 18, 2917, 21, 2057, 85, 510, 2977, 14, 1168, 254, 497, 343, 497, 3732, 14, 274, 12605, 15, 18, 343, 9967, 286, 432, 8140, 20, 286, 2330, 51, 11476, 29068, 10954, 16, 327, 274, 311, 1338, 6392, 1338, 18, 481, 6088, 1338, 1735, 890, 34171, 338, 1547, 286, 314, 16, 1168, 3509, 1168, 407, 2287, 14, 5224, 18, 944, 16, 457, 481, 1168, 11, 343, 18, 1851, 4717, 1521, 16, 8176, 401, 5225, 22, 18, 324, 14, 16, 29074, 387, 21, 432, 23, 269, 16, 403, 5255, 314, 2818, 18, 5186, 5381, 3131, 2714, 496, 324, 1168, 452, 311, 481, 24, 1738, 869, 1168, 57, 254, 82, 51, 432, 2103, 3509, 2330, 19379, 286, 432, 2591, 436, 1508, 51, 80, 35102, 11929, 398, 1423, 1407, 15, 31, 2414, 11, 254, 286, 2533, 581, 403, 15, 1168, 495, 2258, 16, 16, 274, 554, 1168, 31513, 1530, 16, 2289, 282, 16, 23, 30, 254, 57, 31884, 11367, 343, 14, 188, 380, 274, 5164, 18, 51, 14, 7378, 10637, 18, 1361, 8842, 1735, 1168, 286, 2287, 22345, 2330, 14, 286, 274, 2964, 1963, 16, 387, 18, 576, 247, 2545, 813, 33, 16281, 32059, 6204, 3437, 31, 254, 32059, 18, 687, 188, 22, 1338, 1004, 369, 495, 3324, 32176, 16, 15, 328, 7168, 18, 858, 452, 14, 13156, 3331, 401, 2127, 670, 14, 28902, 3109, 3681, 2533, 286, 387, 274, 18, 18, 785, 30, 11929, 311, 888, 785, 7116, 22, 188, 11, 3509, 16, 3405, 314, 4488, 2352, 11427, 6088, 276, 2974, 254, 16, 2124, 25820, 23540, 5017, 2486, 82, 3443, 2917, 2834, 510, 43060, 1842, 14, 16, 15, 1361, 1168, 4717, 82, 328, 314, 57, 286, 785, 21, 15, 2917, 8815, 15014, 497, 248, 324, 1168, 24908, 11929, 18407, 314, 1338, 5381, 314, 2967, 407, 324, 274, 3405, 269, 30, 533, 10910, 18, 57, 2490, 671, 1678, 8842, 14, 188, 16, 826, 10910, 3948, 403, 26, 286, 2967, 21, 14, 272, 2103, 401, 2917, 495, 348, 745, 7895, 1168, 380, 14, 14, 2600, 4488, 20823, 16, 8065, 403, 272, 278, 314, 1102, 2834, 12, 3193, 314, 282, 7023, 815, 278, 1635, 18, 14, 51, 7, 3131, 2917, 497, 1992, 7536, 2834, 4502, 26, 1899, 8842, 1508, 254, 282, 24908, 16, 188, 2185, 2103, 1635, 1500, 481, 18, 1330, 324, 274, 31, 683, 31, 4722, 5186, 276, 16, 890, 1168, 276, 10637, 10034, 7193, 596, 311, 23, 19, 16, 420, 369, 282, 2591, 2103, 2917, 10512, 14, 580, 20, 6088, 457, 18, 785, 2917, 581, 2287, 276, 481, 40469, 416, 324, 18, 496, 18, 11, 2834, 16, 496, 2287, 188, 576, 14, 286, 3681, 22839, 265, 1305, 51, 1168, 51, 286, 2818, 276, 14, 254, 1373, 2287, 11, 12015, 1956, 6687, 188, 16, 7, 14, 457, 20854, 581, 16, 278, 18, 3509, 254, 20, 1168, 496, 254, 6088, 18, 1168, 1017, 1635, 12741, 31, 432, 8140, 2287, 5381, 3324, 314, 18, 1635, 4863, 343, 495, 27, 2170, 12, 188, 1563, 2623, 826, 2818, 286, 1148, 432, 2148, 457, 3273, 15, 21, 403, 254, 276, 2509, 276, 2013, 16, 274, 2287, 30, 82, 2974, 16, 2148, 18407, 420, 2477, 2379, 1338, 16, 1373, 390, 5328, 35102, 24, 343, 9140, 4935, 343, 10755, 6687, 1040, 1168, 14, 497, 281, 432, 15, 401, 898, 15, 21, 16, 890, 18, 2103, 7, 4752, 24, 4717, 14, 1338, 497, 324, 785, 254, 2103, 848, 3509, 387, 16, 274, 14, 286, 4681, 3437, 254, 16, 10034, 32059, 3405, 31, 496, 590, 16, 18, 756, 14, 1168, 558, 4722, 3692, 14, 274, 254, 14, 10958, 269, 31, 532, 607, 274, 46499, 21, 18, 20, 2353, 10686, 2330, 24, 888, 57, 11, 14, 4681, 26, 1407 ]
[ 1, 353, 11527, 282, 355, 282, 759, 581, 248, 10342, 353, 6492, 512, 398, 452, 432, 188, 5230, 15347, 5098, 324, 272, 16, 1582, 21197, 343, 36104, 1062, 369, 286, 7224, 6408, 8325, 27, 1033, 7338, 268, 348, 9133, 687, 536, 282, 311, 34626, 8014, 33, 3416, 343, 317, 14, 33, 13048, 626, 188, 616, 961, 28718, 324, 942, 452, 14, 310, 5207, 2432, 311, 32452, 460, 5098, 2795, 353, 254, 4426, 11490, 3148, 580, 374, 282, 441, 188, 328, 33, 5704, 4250, 2065, 254, 1017, 338, 772, 16, 3, 2433, 18, 1268, 665, 4429, 5655, 6326, 282, 479, 324, 1789, 10202, 387, 41680, 274, 603, 1847, 6121, 274, 276, 417, 406, 512, 28, 2432, 4429, 368, 264, 28180, 1844, 21815, 16, 282, 6516, 756, 14, 29, 16, 23, 16, 5270, 407, 26, 403, 6079, 309, 248, 324, 282, 9028, 618, 10481, 286, 309, 310, 282, 390, 865, 1606, 286, 26116, 11, 20, 3338, 1062, 3063, 1093, 23, 2795, 282, 17487, 16, 865, 338, 495, 282, 5351, 327, 254, 1153, 390, 1129, 4667, 573, 25, 13924, 2342, 3916, 1045, 7269, 254, 11812, 34766, 188, 536, 1205, 25862, 25593, 248, 254, 14, 10463, 7180, 1533, 15930, 274, 286, 33, 4684, 662, 4311, 1848, 286, 276, 310, 3127, 15, 10238, 1495, 701, 14, 321, 311, 286, 4816, 328, 310, 7269, 1533, 15813, 16, 368, 10202, 8715, 324, 974, 621, 282, 2075, 286, 276, 9184, 33, 1062, 18, 1887, 8177, 324, 16, 282, 6079, 441, 3225, 395, 40477, 10257, 254, 14, 286, 2104, 2348, 594, 596, 254, 14, 1339, 1824, 254, 282, 317, 626, 31541, 513, 273, 11099, 188, 2570, 16, 783, 9664, 286, 20, 8465, 580, 3395, 5257, 2019, 21, 254, 188, 72, 6008, 2989, 513, 759, 1480, 69, 452, 597, 327, 6425, 1623, 368, 14, 16, 6158, 16, 3809, 21, 12068, 1015, 314, 748, 8758, 5150, 276, 563, 15722, 802, 5270, 3608, 27875, 22395, 3646, 14, 618, 353, 327, 36971, 7183, 16, 276, 34778, 16, 452, 1362, 343, 3453, 1840, 16737, 665, 327, 1336, 625, 1789, 16, 387, 1253, 286, 11174, 372, 16, 3783, 555, 436, 536, 348, 28, 3998, 596, 6113, 650, 3026, 2835, 324, 7383, 14637, 434, 6121, 310, 368, 3225, 368, 248, 338, 39973, 5552, 10481, 1157, 7136, 4311, 4503, 5655, 367, 324, 15, 272, 593, 310, 16, 7224, 4269, 14, 555, 324, 633, 9382, 33, 1707, 21, 188, 390, 555, 2842, 573, 1013, 328, 1525, 593, 16, 28718, 963, 563, 933, 4149, 286, 310, 276, 8325, 19, 4076, 6121, 286, 621, 5741, 2731, 414, 9148, 328, 324, 15, 536, 274, 431, 19859, 14414, 642, 188, 2314, 286, 390, 643, 11841, 7501, 626, 338, 33, 686, 1093, 665, 513, 785, 8418, 286, 248, 403, 248, 403, 7183, 272, 2210, 2104, 0, 4377, 5741, 311, 9828, 276, 2497, 254, 2721, 368, 16, 188, 1619, 282, 603, 9113, 1057, 772, 2626, 417, 6000, 188, 286, 276, 512, 6492, 9163, 2835, 1596, 14, 368, 2950, 403, 476, 974, 286, 43, 48148, 310, 9127, 188, 980, 254, 16, 30279, 188, 327, 5098, 3225, 8715, 274, 282, 4429, 434, 1493, 11129, 24208, 248, 5257, 1991, 286, 327, 8251, 11129, 5659, 432, 390, 1311, 6948, 432, 883, 1845, 310, 576, 324, 286, 772, 1074, 1726, 13846, 18, 1525, 324, 311, 310, 1322, 254, 188, 43, 671, 14, 188, 1213, 7180, 188, 368, 43, 715, 2949, 310, 2080, 1033, 13725, 671, 6730, 17083, 650, 751, 248, 11812, 14, 16, 1787, 12068, 20, 668, 1755, 1328, 536, 16, 3127, 839, 759, 14195, 3398, 7414, 6326, 4422, 254, 432, 1726, 311, 8043, 4605, 1037, 2314, 3621, 1689, 11668, 65, 274, 282, 19329, 3405, 324, 3713, 580, 748, 26, 324, 8498, 4442, 12068, 532, 368, 3, 324, 188, 470, 33, 495, 1037, 6376, 43, 1817, 533, 628, 6814, 17952, 324, 1897, 11258, 580, 16474, 1602, 3689, 1456, 900, 663, 16, 324, 1668, 17, 2408, 17155, 311, 286, 615, 5307, 1037, 2367, 7605, 3, 254, 7605, 580, 276, 624, 324, 254, 668, 368, 839, 852, 1919, 1480, 343, 47723, 432, 2672, 8010, 22548, 865, 573, 441, 3801, 9220, 454, 2523, 274, 452, 47723, 411, 403, 14, 4422, 17672, 2332, 372, 16, 2546, 4277, 28718, 961, 321, 454, 596, 668, 8464, 407, 27, 3612, 5659, 310, 35035, 338, 311, 254, 20585, 27126, 254, 27126, 603, 286, 12274, 600, 14, 3407, 327, 900, 286, 324, 436, 1130, 2631, 403, 27, 310, 286, 403, 12068, 7338, 12551, 29523, 403, 748, 353, 327, 594, 403, 729, 188, 18, 254, 15125, 6000, 18, 4962, 324, 32837, 14, 1102, 1033, 311, 36971, 321, 5085, 785, 13773, 1652, 32452, 5830, 286, 13541, 29, 10578, 4250, 29939, 1213, 597, 701, 35877, 865, 403, 188, 536, 286, 2214, 742, 403, 286, 513, 14, 1038, 343, 254, 2523, 1322, 4987, 282, 5741, 3843, 763, 665, 16, 454, 830, 1460, 274, 1017, 3834, 343, 596, 779, 6376, 8033, 2956, 37, 2102, 2795, 324, 6932, 10099, 1540, 432, 48148, 16099, 2144, 254, 1250, 625, 248, 248, 324, 2332, 772, 16, 772, 2314, 11454, 865, 12068, 1970, 311, 17155, 441, 353, 5285, 274, 436, 772, 756, 15, 3637, 276, 4528, 276, 2244, 33, 16, 14, 1479, 1547, 31977, 625, 1362, 2628, 417, 5098, 33, 14, 1089, 14, 327, 7250, 5961, 22395, 1623, 1842, 5085, 368, 7709, 27188, 7338, 282, 14, 769, 310, 1649, 254, 759, 254, 282, 2107, 27126, 19, 772, 1397, 248, 1362, 263, 321, 5897, 15, 8033, 742, 7864, 997, 7338, 625, 16, 1321, 24, 248, 8065, 1125, 663, 747, 12603, 387, 282, 5098, 510, 3070, 26, 2218, 960, 1328, 16, 1495, 756, 6206, 6158, 1090, 20532, 470, 555, 933, 4428, 2842, 403, 0, 16, 31789, 16, 17158, 4422, 536, 3006, 286, 282, 311, 272, 454, 687, 641, 9163, 272, 1787, 286, 2835, 11, 272, 311, 188, 27, 9991, 1668, 310, 14, 8849, 14, 785, 310, 8282, 16, 71, 286, 324, 188, 748, 3617, 16, 14, 321, 248, 4325, 254, 2795, 713, 314, 2858, 17952, 248, 43, 3427, 1777, 16, 13905, 5925, 668, 314, 1323, 188, 274, 10191, 1256, 34538, 417, 282, 4429, 6948, 21197, 328, 11785, 6376, 15, 282, 276, 7605, 33, 431, 343, 2286, 248, 7526, 4907, 2626, 282, 2957, 532, 188, 436, 3127, 26, 188, 4698, 2835, 16, 2066, 16, 633 ]
[ 1, 1845, 1395, 1045, 751, 390, 85, 12340, 2517, 8147, 1903, 5767, 20014, 276, 1212, 417, 5952, 4541, 9364, 2951, 1339, 781, 32651, 1090, 3759, 1115, 8583, 6444, 388, 324, 282, 37652, 286, 0, 481, 248, 38969, 3830, 311, 17980, 16, 520, 747, 581, 663, 4688, 20549, 27959, 282, 14, 2041, 14, 1945, 3396, 390, 274, 460, 6898, 487, 16, 0, 22009, 248, 403, 841, 41352, 1006, 1919, 22, 796, 33264, 2893, 274, 14, 2780, 2942, 1711, 7299, 551, 9991, 248, 8386, 1963, 321, 254, 344, 14, 274, 276, 15677, 1640, 282, 274, 8147, 38010, 1441, 252, 463, 274, 1574, 254, 16, 274, 555, 24, 282, 1652, 436, 432, 7421, 2504, 5798, 7697, 669, 555, 6650, 963, 781, 254, 2345, 1770, 15621, 39864, 801, 30953, 16, 12183, 712, 314, 3748, 642, 457, 665, 16, 274, 4422, 756, 286, 24308, 4967, 3144, 6029, 17804, 9043, 274, 2969, 254, 533, 2038, 4559, 248, 314, 323, 5998, 282, 25369, 6797, 254, 6797, 3989, 274, 2675, 286, 1130, 16, 348, 1858, 3095, 3198, 781, 2181, 248, 2424, 85, 16, 254, 23090, 188, 282, 286, 26779, 1115, 254, 327, 37652, 4672, 3093, 16, 12033, 1919, 3134, 286, 38969, 254, 1336, 7779, 1180, 248, 343, 348, 276, 248, 3228, 10419, 17342, 2746, 307, 1336, 6217, 729, 1903, 11098, 18126, 254, 10419, 248, 360, 20799, 282, 327, 2950, 254, 276, 44, 457, 3192, 2218, 3364, 4235, 16, 14, 457, 16, 2185, 452, 4773, 353, 22389, 14, 701, 254, 13562, 3430, 3814, 282, 13238, 14, 16, 1260, 286, 248, 24906, 254, 282, 16, 2038, 16, 314, 888, 2626, 254, 2622, 1982, 368, 282, 360, 452, 3580, 1288, 18916, 2211, 939, 28438, 1015, 3575, 251, 23758, 11023, 358, 286, 11490, 44, 6797, 23090, 460, 324, 2042, 343, 19512, 343, 282, 87, 434, 11042, 4967, 2977, 390, 9051, 407, 4360, 19844, 4756, 26102, 311, 301, 1212, 268, 248, 311, 2148, 460, 254, 16897, 18715, 1652, 327, 407, 34, 14, 5767, 21955, 343, 872, 14, 16, 286, 368, 695, 311, 276, 839, 1304, 561, 865, 274, 286, 248, 8147, 403, 13546, 52, 10419, 8694, 5464, 6349, 274, 2702, 735, 41352, 597, 254, 1408, 563, 188, 343, 8960, 30289, 286, 2133, 10812, 39134, 14083, 2374, 248, 2086, 7779, 16, 434, 905, 323, 597, 2552, 368, 288, 457, 3134, 580, 14, 33340, 19188, 4915, 4699, 4801, 2662, 15677, 3089, 248, 10353, 10280, 2731, 15336, 16, 561, 254, 1963, 476, 961, 1303, 4919, 457, 85, 248, 14872, 7160, 5464, 1258, 22009, 9051, 13571, 476, 24854, 314, 1782, 274, 282, 4301, 2066, 15677, 248, 4058, 476, 17704, 1142, 5998, 286, 4694, 188, 520, 29751, 7052, 248, 2286, 3083, 328, 343, 17858, 16, 1390, 2207, 8117, 28241, 254, 14, 274, 20416, 942, 3779, 683, 276, 4244, 417, 944, 603, 324, 669, 24, 559, 8960, 248, 16, 10216, 311, 452, 282, 16, 24706, 313, 5192, 282, 5998, 188, 5995, 286, 14, 282, 286, 368, 14, 16, 311, 254, 1668, 1297, 254, 10280, 23690, 3532, 251, 781, 14, 16, 457, 286, 286, 2996, 1401, 19188, 781, 16755, 16, 324, 14, 4002, 6544, 452, 4873, 3379, 1219, 15588, 282, 27167, 248, 40456, 1401, 311, 33317, 254, 313, 7656, 7067, 481, 343, 944, 2049, 28438, 1129, 671, 276, 368, 41352, 343, 274, 44892, 46196, 11776, 4889, 92, 3135, 460, 729, 276, 16, 5769, 14492, 42, 3677, 254, 5702, 1582, 311, 282, 282, 3916, 23090, 274, 7470, 16, 2818, 997, 321, 15677, 5952, 2868, 755, 1035, 248, 616, 14, 9751, 1862, 328, 343, 1972, 19250, 321, 701, 274, 91, 7859, 3, 286, 274, 418, 254, 6119, 520, 9259, 188, 853, 18126, 1241, 4741, 327, 36277, 0, 409, 15359, 41352, 2969, 7067, 713, 2622, 248, 38969, 282, 452, 276, 1963, 309, 274, 9956, 403, 476, 10280, 1234, 1339, 1308, 14148, 276, 13283, 14, 1201, 33, 343, 2038, 7023, 4856, 16, 328, 5518, 311, 248, 274, 14125, 2868, 46087, 282, 387, 274, 3437, 38969, 14, 251, 248, 10794, 14, 9714, 16, 286, 781, 14, 23090, 46087, 254, 390, 274, 1996, 2722, 751, 9956, 4244, 6727, 15, 313, 23196, 16, 11668, 278, 282, 683, 2038, 1444, 250, 6797, 10419, 4003, 5613, 1469, 997, 5998, 24308, 2449, 628, 463, 4002, 1125, 1056, 282, 1648, 311, 1826, 2323, 248, 10087, 1017, 11846, 16, 1052, 12387, 671, 2211, 248, 441, 19188, 917, 2584, 188, 254, 743, 307, 276, 274, 6545, 2517, 14, 4917, 353, 17980, 750, 2893, 254, 9473, 248, 387, 19064, 85, 2323, 85, 1914, 2734, 86, 1683, 792, 781, 740, 247, 252, 3355, 16, 5998, 14, 4058, 254, 248, 11268, 7023, 368, 328, 33340, 615, 4002, 1683, 624, 85, 274, 16, 286, 282, 188, 28, 254, 25783, 434, 888, 188, 15677, 1057, 4698, 4941, 254, 417, 642, 22456, 1091, 6797, 1004, 5121, 248, 4065, 2640, 248, 3473, 8555, 17627, 38057, 311, 6690, 10280, 387, 15677, 1637, 248, 1516, 286, 368, 2323, 14, 274, 282, 54, 343, 10216, 7208, 1243, 668, 286, 626, 52, 309, 470, 7262, 963, 26866, 1919, 457, 1258, 286, 15453, 1864, 836, 512, 14, 2710, 311, 254, 327, 679, 2502, 10732, 324, 3809, 345, 387, 554, 323, 16, 274, 13053, 282, 387, 432, 425, 16, 27390, 2187, 580, 16, 457, 248, 486, 633, 16, 1770, 8020, 9329, 368, 328, 825, 615, 2630, 483, 274, 900, 5937, 800, 8375, 1093, 1869, 52, 360, 296, 254, 2035, 16, 274, 1738, 5702, 1438, 616, 313, 616, 348, 3136, 6104, 282, 457, 327, 14, 2489, 29281, 2194, 626, 687, 4424, 14, 16, 32047, 403, 520, 274, 436, 254, 701, 327, 11903, 29, 24, 14, 3524, 365, 5732, 0, 1368, 2023, 41352, 19188, 1499, 274, 1339, 4002, 19188, 14, 286, 248, 2023, 463, 2086, 14756, 14, 373, 1664, 941, 31813, 2530, 378, 16, 14, 15516, 254, 188, 1726, 593, 1997, 2065, 33340, 16, 12238, 14, 4967, 248, 311, 687, 4131, 254, 3925, 274, 22, 15677, 16, 481, 248, 520, 188, 14, 3652, 248, 520, 254, 31520, 311, 826, 368, 32834, 19382, 1903, 368, 460, 8112, 24058, 2941, 597, 311, 825, 688, 313, 584, 915, 14, 432, 274, 327, 3830, 9439, 4897, 1938, 8583, 10473, 21957, 345, 248, 616, 2757, 2181, 282, 4679, 1288, 15, 2646, 35079, 9152, 23090, 34634, 85, 9792, 348, 1851, 2019, 33340, 14, 274, 321, 457, 254, 15804 ]
[ 1, 7684, 715, 40061, 14, 16, 4713, 368, 10646, 1385, 23357, 4994, 10011, 3661, 507, 47958, 616, 5153, 10650, 274, 16234, 8660, 931, 286, 27, 14, 1225, 254, 671, 14847, 16, 1508, 286, 15, 3326, 19511, 774, 14, 15, 272, 11620, 276, 2956, 4297, 5322, 268, 338, 11527, 286, 3753, 5861, 14, 1756, 338, 41204, 8317, 47142, 4021, 7583, 10679, 4408, 6793, 27739, 1241, 20208, 457, 669, 343, 800, 2148, 276, 286, 862, 8534, 5957, 264, 12209, 317, 695, 248, 274, 368, 26, 327, 13286, 336, 27, 8660, 8688, 3536, 12375, 286, 4867, 348, 282, 6751, 2838, 6044, 6786, 6667, 533, 47353, 286, 15557, 4, 555, 686, 43560, 35814, 16, 254, 14, 3378, 27, 12957, 14, 4541, 1853, 45324, 343, 8660, 327, 2449, 1057, 14, 7148, 4671, 800, 310, 2048, 14, 2341, 25324, 7895, 1885, 294, 23918, 286, 254, 27, 2507, 274, 248, 23, 274, 274, 254, 272, 9017, 1625, 383, 4584, 3614, 4032, 1834, 16, 26012, 12101, 282, 21, 1656, 4282, 188, 3371, 9298, 20208, 2341, 8061, 7221, 314, 769, 1469, 286, 16, 254, 960, 4532, 14450, 7674, 1245, 27, 7005, 2489, 686, 20208, 274, 581, 301, 5287, 3367, 282, 321, 248, 387, 449, 618, 286, 47044, 4184, 7478, 16, 27739, 286, 15, 2079, 282, 890, 836, 286, 347, 2079, 85, 1245, 15735, 1017, 27739, 4347, 37, 447, 6786, 4020, 254, 1063, 16, 13041, 1889, 248, 7439, 27, 595, 3753, 254, 254, 286, 311, 4833, 16, 16611, 328, 43238, 327, 9270, 466, 452, 800, 9332, 12061, 2362, 254, 434, 45890, 14, 276, 356, 274, 9332, 9487, 18333, 16, 7691, 7736, 13294, 1735, 800, 286, 18901, 2023, 22986, 939, 254, 939, 4109, 1508, 14253, 1071, 819, 1305, 2504, 7328, 87, 14, 16, 282, 403, 2341, 27, 494, 85, 324, 14, 3299, 348, 9243, 6334, 669, 7060, 14, 34637, 4578, 30743, 380, 324, 2838, 6280, 248, 6521, 683, 327, 282, 715, 13434, 2499, 14, 6241, 529, 286, 1735, 18404, 1625, 374, 18, 20208, 27, 286, 5485, 44907, 4168, 17805, 476, 14388, 16, 1508, 16, 3505, 14, 6320, 7524, 47044, 555, 286, 616, 1278, 42383, 657, 686, 2048, 7212, 479, 836, 671, 8462, 20208, 4153, 248, 18, 35835, 9938, 407, 3059, 254, 26360, 7282, 2341, 328, 10477, 286, 11648, 2823, 8996, 6524, 1834, 274, 4713, 432, 314, 319, 286, 8302, 18331, 18429, 374, 715, 13279, 2464, 2666, 16, 10638, 188, 31656, 13182, 248, 254, 1260, 22282, 512, 510, 695, 276, 6444, 7328, 10608, 2507, 4713, 468, 1065, 931, 286, 669, 16896, 15201, 1533, 1533, 274, 286, 348, 370, 7969, 2957, 17148, 367, 3881, 1834, 4713, 2449, 4163, 274, 327, 4859, 931, 272, 4766, 16, 2477, 2335, 274, 1358, 336, 403, 652, 274, 6667, 407, 15002, 16611, 338, 4260, 15031, 327, 3413, 6480, 20, 327, 2462, 1470, 2002, 596, 12490, 254, 3587, 595, 2048, 301, 14, 20909, 8317, 35814, 615, 14, 35, 15, 272, 310, 14, 5805, 274, 1350, 254, 28, 3753, 2120, 47142, 286, 14, 2341, 1845, 880, 10073, 2504, 18, 4578, 254, 2683, 20, 1834, 390, 8251, 28419, 6552, 40966, 254, 5672, 1068, 4916, 3326, 5968, 6635, 248, 27683, 432, 248, 2966, 23, 14253, 3233, 310, 4005, 20075, 17880, 16, 14, 3321, 9332, 5630, 8248, 1260, 37026, 5032, 407, 387, 452, 23594, 188, 428, 2057, 1827, 2504, 274, 254, 324, 7783, 777, 84, 29991, 417, 25126, 16022, 14, 4578, 985, 3957, 2701, 16, 16, 14, 9243, 1834, 457, 274, 27, 248, 615, 9205, 7504, 188, 7005, 4184, 555, 274, 3413, 348, 16022, 254, 5077, 6081, 5557, 407, 14291, 14, 1201, 10073, 669, 254, 17539, 282, 2000, 3881, 616, 587, 311, 972, 1145, 286, 16, 13639, 254, 274, 276, 28419, 4335, 348, 1128, 22574, 343, 0, 16, 22148, 16, 5495, 282, 343, 2502, 14, 595, 14, 294, 671, 254, 47142, 188, 1242, 47142, 7957, 328, 47142, 6088, 282, 618, 14, 5980, 254, 188, 248, 254, 23357, 286, 388, 248, 330, 16, 47142, 34543, 16, 2231, 254, 4584, 328, 276, 6601, 25852, 5699, 9631, 3881, 347, 4, 394, 343, 2248, 282, 1074, 22966, 248, 188, 380, 756, 74, 2363, 924, 663, 274, 931, 254, 18, 286, 282, 28, 324, 6851, 10801, 432, 254, 4707, 407, 45239, 687, 4032, 20208, 348, 34, 596, 47142, 29206, 17117, 6169, 1530, 188, 14732, 4184, 1903, 2490, 1728, 16, 338, 28419, 286, 432, 4032, 615, 2341, 272, 14, 14918, 4337, 618, 512, 43691, 11476, 2341, 7587, 650, 9243, 1364, 188, 254, 4009, 713, 2949, 20185, 338, 17627, 10776, 1545, 390, 269, 254, 11500, 1767, 11648, 26, 388, 616, 248, 34, 14, 254, 53, 45984, 29095, 1547, 9332, 905, 8317, 434, 310, 16, 380, 1694, 14, 16, 695, 69, 22986, 286, 15, 25324, 188, 1767, 2072, 274, 37, 276, 6693, 486, 15, 13178, 4408, 25330, 7328, 22574, 16, 22, 254, 3217, 314, 27683, 10800, 481, 254, 16, 311, 343, 1834, 276, 729, 4713, 1081, 3068, 37026, 274, 20, 286, 14, 2706, 510, 388, 274, 314, 1357, 40388, 1212, 2949, 254, 5656, 20, 254, 16, 1625, 324, 274, 5044, 276, 282, 14, 17591, 188, 857, 286, 25324, 518, 2365, 4032, 282, 1896, 85, 2490, 663, 336, 432, 19773, 5537, 16, 2341, 14, 310, 623, 7916, 16060, 3569, 10711, 1162, 2705, 1964, 16, 432, 10073, 468, 9332, 16, 4653, 14, 2443, 7761, 16, 963, 14, 3413, 8317, 394, 274, 7065, 282, 2523, 8317, 254, 497, 1393, 14, 5322, 8325, 436, 254, 1834, 5557, 13182, 254, 27, 254, 16062, 615, 2462, 11, 545, 6667, 800, 37882, 2537, 276, 248, 1090, 595, 13659, 4376, 9825, 274, 671, 407, 311, 26, 2114, 42765, 8864, 1278, 476, 16, 14, 7005, 2823, 272, 286, 22574, 22180, 16, 5245, 47142, 13225, 616, 14, 913, 688, 18012, 4433, 311, 254, 5346, 188, 14, 254, 1042, 4577, 274, 324, 2964, 327, 30772, 8317, 1530, 380, 2168, 327, 286, 695, 853, 9300, 5279, 2362, 28419, 9646, 512, 407, 327, 37, 939, 15, 8504, 248, 3458, 2072, 276, 2365, 369, 11, 276, 15257, 3642, 403, 254, 16, 274, 597, 5210, 4337, 432, 1956, 9664, 14544, 282, 282, 15, 343, 1394, 1834, 4408, 2374, 457, 9298, 6241, 16, 274, 476, 324, 597, 16582, 387, 14, 0, 4532, 2287, 15, 254, 328, 327, 16, 353, 819, 11781, 3879, 4569, 16, 14, 24774, 254, 286, 45239, 16, 2086 ]
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
[ 1, 188, 87, 188, 11355, 11355, 23, 188, 44115, 24, 5141, 23, 24445, 87, 44115, 188, 87, 87, 20, 1358, 5141, 19, 18, 62, 20, 62, 39134, 1184, 544, 72, 5141, 5141, 24, 11355, 30458, 14796, 22, 1184, 4040, 1184, 10571, 62, 188, 11355, 27, 27, 25, 6, 7703, 27, 2070, 39, 3192, 544, 39134, 22, 20, 22, 20, 5141, 19, 14796, 27, 87, 1358, 62, 87, 27, 54, 6, 6, 62, 27, 87, 6, 62, 20, 14796, 24, 8232, 11355, 27, 544, 1358, 8450, 722, 8232, 1184, 14796, 62, 11355, 25, 87, 62, 6821, 188, 7703, 87, 1184, 20, 1358, 35, 684, 11355, 1358, 7703, 27, 87, 20, 87, 87, 5141, 5519, 87, 1747, 20, 1184, 1358, 5141, 11554, 8232, 87, 6, 27, 684, 3245, 11355, 62, 1358, 39, 684, 11355, 8232, 20, 27, 6821, 684, 188, 5141, 684, 87, 188, 44115, 11554, 27, 87, 6, 447, 1358, 30458, 23, 1747, 1358, 26, 27, 188, 5141, 684, 11355, 40, 24, 87, 27, 6, 93, 26, 1184, 27, 10571, 87, 8450, 14796, 8232, 20, 87, 188, 188, 188, 1358, 6185, 5141, 27, 1358, 20, 37, 62, 27, 20, 1747, 87, 87, 87, 18, 1747, 24, 188, 188, 20, 5519, 10807, 188, 3192, 5141, 5141, 1358, 188, 684, 87, 62, 5141, 684, 5141, 722, 23, 188, 87, 1184, 93, 20, 30458, 92, 87, 7138, 93, 288, 722, 20, 21, 23, 6, 1358, 11355, 62, 27, 44115, 87, 6, 23, 5141, 44115, 93, 188, 70, 11355, 10571, 8450, 4077, 684, 684, 1184, 18855, 87, 14796, 20, 1358, 5141, 44115, 62, 5519, 5141, 5141, 20, 18, 1184, 11554, 67, 46, 44115, 87, 27, 188, 87, 87, 10571, 19, 14796, 1184, 544, 5519, 6, 188, 1184, 27, 188, 8450, 27, 16, 27, 6, 1184, 359, 20, 69, 20, 87, 93, 20, 188, 188, 87, 87, 23, 87, 5141, 40586, 1358, 11355, 27, 7703, 27, 87, 11355, 87, 26, 5141, 20, 684, 18, 23, 684, 1358, 6, 10639, 62, 87, 25, 11355, 87, 5141, 20, 67, 44115, 1358, 14796, 62, 12016, 26, 11355, 39134, 544, 722, 684, 27, 7703, 70, 11554, 5141, 5141, 23708, 5141, 78, 1358, 14796, 1031, 1358, 87, 1358, 11355, 722, 684, 23708, 87, 27, 87, 14162, 6, 7703, 684, 93, 62, 5141, 6, 54, 11554, 11355, 11355, 87, 20, 7703, 1358, 30458, 27, 10571, 20, 684, 87, 23, 87, 11355, 544, 62, 6, 188, 684, 23, 87, 92, 39134, 3192, 87, 1184, 21, 1184, 1358, 27, 14796, 21, 62, 54, 70, 39134, 8450, 20, 544, 62, 62, 5519, 20, 11355, 20, 87, 62, 13199, 188, 20, 27, 1184, 5141, 30458, 5141, 87, 1184, 4557, 1184, 92, 67, 684, 3788, 1358, 722, 684, 5141, 188, 20, 54, 6, 22, 684, 52, 1184, 188, 1358, 72, 11016, 1184, 87, 68, 39134, 87, 1358, 87, 36, 27, 5141, 5141, 20, 1184, 87, 722, 6, 62, 87, 6, 39, 87, 39, 25, 27, 1358, 684, 20, 62, 188, 1184, 92, 27, 5141, 87, 1184, 39, 39, 11355, 11355, 11355, 19, 87, 87, 87, 20, 684, 1358, 39, 23, 1184, 188, 44115, 25, 11554, 11355, 7703, 68, 62, 27, 188, 5141, 1184, 188, 20, 18, 1184, 44115, 8450, 11355, 1184, 14796, 22, 188, 1184, 39134, 11355, 15218, 39, 14796, 27, 87, 87, 1358, 8450, 5141, 23, 5141, 11355, 1184, 1358, 1358, 14796, 30458, 87, 18, 27, 62, 15, 18, 21, 11355, 188, 22, 11355, 20, 87, 6, 54, 20, 18, 18, 6, 6, 15844, 19, 27, 20, 39134, 93, 1358, 87, 24, 188, 8232, 11355, 87, 684, 1184, 24, 39134, 11554, 5141, 20, 23, 27, 10571, 1358, 27, 10571, 72, 1184, 23, 39, 6, 39, 62, 87, 11355, 87, 1358, 11355, 285, 8232, 684, 20, 87, 14796, 24, 27, 72, 1184, 1184, 684, 87, 27, 23, 27, 20, 8232, 27, 5141, 20, 93, 188, 684, 87, 684, 20, 11355, 78, 23, 24, 10571, 24, 1184, 6, 722, 20, 684, 87, 92, 27, 11355, 8450, 87, 5141, 20, 19, 19, 188, 312, 87, 11355, 27, 6, 87, 27, 21, 11355, 1358, 27, 684, 19, 684, 188, 23, 87, 67, 20, 11355, 6, 39134, 14796, 1184, 44115, 20, 10639, 62, 11355, 93, 11355, 188, 684, 1358, 87, 544, 20, 92, 44115, 5141, 6, 44192, 684, 684, 87, 19, 1358, 11554, 1184, 54, 27, 71, 87, 5141, 1184, 11355, 62, 23, 14796, 87, 1184, 62, 8232, 188, 1184, 5141, 27, 87, 87, 87, 188, 684, 6, 93, 11355, 20, 684, 62, 62, 62, 87, 6, 11355, 20, 62, 6, 22, 87, 20, 6, 684, 69, 1747, 14796, 5519, 62, 87, 1358, 87, 684, 62, 544, 1184, 18, 27, 68, 722, 26, 62, 62, 5519, 6, 722, 22, 6, 20, 5141, 62, 27719, 62, 87, 90, 1358, 1358, 71, 46, 6, 87, 20, 20, 62, 188, 18, 27, 544, 11355, 684, 684, 93, 8450, 1358, 87, 69, 62, 27, 27, 684, 6, 62, 722, 23, 27, 30458, 684, 87, 8232, 87, 27, 5141, 19, 11554, 521, 30458, 5141, 87, 87, 1358, 39, 11355, 1131, 1184, 87, 11636, 7630, 18, 54, 30252, 87, 87, 4040, 188, 62, 1358, 1184, 1358, 11554, 684, 87, 27, 62, 1636, 22, 5141, 11355, 188, 93, 8450, 14796, 11554, 87, 87, 20, 11355, 684, 1510, 20, 684, 10571, 69, 33619, 62, 11355, 188, 1358, 87, 5141, 24, 62, 27, 1358, 1358, 6, 62, 2070, 84, 544, 62, 5141, 69, 6, 11355, 5141, 7703, 20, 1358, 30458, 684, 26, 27, 1184, 5141, 39134, 20, 188, 722, 8450, 1184, 1358, 15265, 87, 20, 5519, 188, 20, 62, 19, 6, 684, 22, 1358, 188, 1747, 8232, 20, 11554, 5141, 23, 684, 1184, 19, 8450, 7703, 18, 11355, 30252, 30458, 188, 1358, 11355, 52, 11355, 3192, 25, 54, 188, 10571, 10571, 2204, 30458, 23, 62, 27, 87, 188, 21, 20, 6, 20, 1184, 27, 18, 27, 1184, 1184, 1747, 62, 22, 1184, 22, 67, 87, 1747, 11355, 1358, 39134, 684, 21, 5141, 71, 87, 684, 92, 188, 87, 1184, 1358, 188, 20, 684, 87, 18, 20, 8232, 605, 67, 188, 39, 30458, 21, 5141, 1184, 5141, 1184, 87, 25, 3707, 6, 6, 1358, 20, 5141, 14796, 14796, 23, 3192, 684, 87, 62, 684, 11355, 22, 20, 1358, 20, 20, 544, 87, 30, 188, 6 ]
[ 1, 30557, 8325, 2779, 254, 476, 1142, 13042, 313, 618, 633, 2497, 27, 2632, 35, 311, 274, 510, 4877, 4414, 347, 3419, 587, 343, 2779, 286, 368, 274, 615, 432, 33189, 14, 286, 5532, 2019, 17367, 9118, 44301, 27689, 872, 27, 407, 274, 5638, 387, 533, 30978, 19, 7174, 688, 19, 2348, 1460, 11097, 4285, 4632, 327, 188, 274, 4189, 387, 188, 274, 452, 254, 4566, 15856, 5894, 248, 188, 22316, 16, 1963, 27, 2408, 311, 25400, 17, 274, 6158, 7733, 1640, 324, 25, 6702, 27, 1074, 40263, 274, 511, 1431, 2328, 368, 254, 276, 4763, 19, 16, 44301, 330, 510, 2560, 14403, 286, 1033, 8029, 248, 5620, 3129, 19, 815, 274, 286, 1114, 1852, 13284, 19, 2549, 188, 254, 3123, 188, 254, 10, 21390, 407, 330, 3541, 432, 3123, 16, 311, 274, 414, 2642, 4992, 4865, 10301, 330, 343, 19, 5697, 618, 254, 1181, 512, 40305, 14214, 807, 21488, 348, 7422, 16641, 248, 276, 7400, 1748, 22836, 7400, 311, 369, 16, 343, 597, 324, 596, 3405, 28, 22481, 16, 593, 330, 1423, 11094, 4171, 27, 10870, 2288, 530, 188, 380, 24173, 650, 4603, 4932, 1460, 40305, 1336, 2715, 254, 8129, 16641, 330, 330, 328, 23, 1678, 188, 590, 11750, 348, 18, 19, 1214, 5553, 865, 28, 7400, 2094, 1912, 530, 35, 10840, 327, 1460, 39480, 561, 21194, 807, 286, 330, 321, 1545, 14, 327, 188, 28171, 310, 4229, 1399, 3378, 353, 1391, 14, 496, 3536, 10187, 756, 47639, 811, 5114, 618, 248, 603, 13042, 16, 4603, 4242, 4236, 618, 449, 597, 188, 328, 21611, 772, 188, 282, 16, 16, 5713, 14, 436, 4073, 254, 10240, 286, 16285, 42, 27, 276, 286, 1748, 407, 254, 633, 22404, 4144, 830, 2094, 276, 21, 22567, 8367, 254, 282, 276, 254, 8744, 14403, 254, 2518, 830, 27, 19, 23027, 36754, 11097, 4156, 9806, 826, 22404, 16, 11, 13042, 2348, 2518, 311, 286, 3123, 10801, 2187, 27, 13868, 1754, 12425, 16, 27626, 2107, 14, 22404, 188, 6837, 2353, 3123, 8398, 18, 188, 1920, 16293, 14, 889, 274, 4306, 1157, 4227, 511, 26446, 27139, 1525, 3198, 3123, 944, 1021, 2006, 188, 3123, 1362, 16, 3402, 11929, 18, 842, 6476, 5114, 633, 9713, 9453, 34163, 12270, 2409, 23539, 511, 13042, 35, 5384, 286, 533, 4188, 13944, 254, 328, 14, 13042, 1623, 511, 3184, 18, 731, 274, 370, 3123, 3783, 188, 18, 972, 274, 9739, 348, 282, 2518, 530, 254, 14, 14, 476, 1585, 273, 276, 1815, 3123, 942, 1988, 369, 890, 4306, 19, 945, 3001, 573, 10550, 282, 6476, 23, 1460, 36749, 2943, 33889, 300, 1557, 14603, 10878, 330, 32750, 7636, 815, 533, 282, 18119, 4153, 269, 67, 274, 16, 21018, 8701, 16, 274, 19, 580, 274, 1755, 3132, 15165, 16, 310, 618, 17329, 390, 2187, 248, 4865, 21, 7160, 4811, 596, 11530, 254, 436, 286, 310, 22481, 3123, 20757, 52, 942, 254, 21, 12406, 23, 642, 286, 28, 6702, 1162, 3541, 18, 18, 15657, 274, 254, 520, 13042, 276, 27, 555, 35020, 16056, 3083, 15, 274, 16, 19, 254, 1525, 5278, 512, 21, 50, 19, 286, 282, 2443, 1637, 2632, 963, 633, 476, 826, 4306, 417, 668, 353, 16101, 14, 3732, 248, 274, 46707, 19102, 282, 272, 1679, 276, 3783, 1391, 330, 348, 42, 15291, 21886, 888, 85, 493, 32556, 5630, 1308, 369, 44301, 21, 37250, 2692, 2780, 348, 16, 274, 511, 1399, 274, 286, 321, 343, 311, 769, 663, 1057, 1074, 1863, 282, 1316, 324, 19, 188, 282, 1503, 1910, 368, 21821, 254, 254, 310, 530, 27077, 671, 731, 4428, 188, 276, 286, 16641, 330, 6702, 436, 1323, 254, 188, 18, 282, 6705, 282, 1963, 16, 9847, 9847, 4185, 18, 330, 2065, 321, 20207, 2734, 434, 269, 44301, 618, 272, 14603, 1872, 3129, 2615, 1754, 353, 40305, 27, 23983, 16, 8232, 27, 512, 47669, 2411, 11061, 4418, 2672, 18, 683, 330, 7786, 5048, 1021, 17065, 18626, 40305, 14627, 188, 310, 512, 16641, 3265, 587, 310, 1460, 28, 330, 28, 1114, 1336, 3655, 633, 15074, 29175, 13752, 13944, 19, 1130, 28, 5578, 14, 29355, 19409, 20, 695, 1988, 368, 14, 30647, 16, 282, 843, 16, 5686, 348, 28593, 4414, 479, 254, 14, 282, 7449, 8029, 10794, 254, 254, 349, 815, 286, 349, 188, 436, 30557, 248, 9847, 274, 40957, 248, 436, 12255, 7638, 14403, 44301, 1004, 40305, 21175, 3198, 353, 22475, 14, 9847, 21642, 7691, 18, 2348, 1910, 10926, 1956, 36, 11530, 327, 4850, 6287, 314, 9748, 349, 2477, 310, 3123, 16641, 188, 16, 4444, 15, 8950, 368, 286, 512, 479, 1919, 2642, 327, 27212, 530, 6702, 16, 44301, 587, 484, 14403, 669, 16, 13284, 16641, 282, 282, 248, 21640, 18431, 18, 327, 511, 7002, 484, 1125, 16, 774, 16, 10258, 14403, 765, 12269, 2687, 286, 2703, 387, 2348, 14548, 12685, 886, 9756, 276, 587, 4992, 16641, 661, 18, 625, 28089, 618, 2632, 18100, 1910, 436, 668, 5671, 188, 188, 44301, 597, 729, 30557, 618, 12557, 44301, 618, 16, 2135, 2284, 858, 321, 8466, 3692, 28, 188, 310, 13042, 14, 327, 188, 274, 286, 18, 188, 44301, 15, 248, 16, 14, 328, 368, 7057, 5396, 18, 2563, 8611, 274, 6476, 6397, 3343, 479, 7093, 6412, 14, 3997, 9123, 3123, 561, 14, 12306, 19, 666, 14, 19, 16, 343, 5833, 2232, 21709, 2052, 282, 286, 12312, 407, 310, 13042, 1949, 3123, 248, 1460, 14, 3017, 35786, 28, 5048, 274, 407, 27, 1296, 1130, 1912, 19, 476, 274, 29111, 28, 4603, 432, 1460, 1013, 2348, 16, 16, 432, 3870, 20563, 434, 274, 282, 44301, 3488, 14, 28, 436, 19375, 274, 5854, 327, 18, 19, 16, 5851, 17095, 4139, 27, 366, 330, 16641, 7697, 889, 348, 274, 2384, 587, 3123, 254, 3290, 16641, 1213, 282, 633, 282, 24535, 5431, 2646, 10008, 2348, 19, 276, 286, 28, 28171, 16, 6847, 16, 188, 14, 8129, 4285, 18, 715, 188, 22404, 11750, 2692, 330, 3123, 5553, 9055, 328, 3596, 1456, 2672, 321, 27, 18563, 28, 18, 5203, 16, 20, 3987, 1603, 324, 35020, 16, 3762, 9326, 4185, 6136, 27, 436, 286, 4112, 24535, 997, 18, 3170, 8037, 944, 44301, 33903, 7573, 18, 343, 26246, 14403, 4268, 310, 16, 310, 286, 1910, 1912, 248, 10036, 532, 5445, 282, 1530, 188, 2411, 670, 0, 1012, 28, 4185, 3248, 286, 1317, 530, 321, 44301, 330, 282, 3405, 13042 ]
[ 1, 1041, 3135, 6786, 9751, 401, 32177, 457, 282, 353, 353, 86, 254, 1052, 16, 763, 188, 81, 16, 900, 6499, 1525, 85, 19063, 899, 324, 3135, 4702, 254, 274, 403, 8901, 343, 4954, 254, 11608, 626, 387, 248, 380, 4076, 745, 432, 457, 2408, 274, 2165, 533, 7306, 6211, 254, 85, 452, 15, 16, 16, 2377, 6577, 17863, 17803, 321, 748, 510, 2517, 282, 265, 248, 2165, 11467, 14110, 22354, 1806, 14, 286, 348, 343, 633, 900, 913, 282, 188, 654, 41850, 2563, 843, 188, 587, 252, 3135, 2110, 254, 188, 19534, 16, 476, 1853, 679, 11114, 16, 188, 15, 668, 1205, 11114, 289, 5370, 1395, 16, 16, 11114, 5575, 19, 597, 274, 286, 546, 251, 276, 286, 2622, 1057, 2362, 324, 274, 321, 19, 1040, 642, 5032, 14, 5511, 248, 624, 14, 16, 5396, 18, 670, 11897, 282, 254, 633, 282, 14211, 328, 13700, 671, 282, 13135, 633, 6786, 276, 16, 5396, 2517, 1162, 16, 3135, 18463, 1041, 457, 457, 14, 2818, 282, 4368, 374, 248, 417, 533, 10875, 15284, 14, 353, 2969, 248, 254, 24654, 721, 328, 3135, 328, 11114, 1391, 274, 254, 7032, 188, 14, 327, 665, 3483, 2456, 1919, 15012, 24658, 1026, 286, 2181, 9751, 5939, 5575, 580, 10216, 286, 1033, 798, 4244, 2725, 14, 587, 11871, 6299, 16, 272, 747, 2586, 254, 686, 282, 624, 286, 254, 5575, 6627, 26171, 254, 457, 1141, 13220, 248, 9806, 274, 315, 5645, 254, 12323, 10335, 360, 3925, 14, 11535, 510, 15, 457, 2360, 4244, 4422, 16, 348, 721, 11368, 4244, 5256, 4866, 13220, 289, 387, 282, 12587, 1074, 327, 432, 4233, 867, 16, 452, 19534, 5485, 282, 14523, 633, 432, 34642, 3198, 17653, 16, 457, 10207, 16, 14, 348, 14, 889, 748, 1953, 403, 2114, 4244, 1004, 2517, 188, 15486, 619, 328, 254, 1897, 274, 4282, 188, 6906, 5764, 248, 248, 4076, 23, 390, 9165, 22737, 580, 9884, 2752, 282, 963, 85, 5370, 751, 596, 633, 3135, 16, 282, 5575, 4254, 1860, 3506, 915, 16, 274, 30080, 286, 14, 4076, 3135, 633, 254, 6627, 14, 7526, 4244, 321, 3135, 13622, 3135, 47873, 633, 396, 4150, 457, 5575, 6949, 273, 343, 40979, 254, 282, 282, 254, 19, 9391, 353, 3198, 668, 11758, 254, 286, 1853, 276, 633, 5370, 34687, 8223, 457, 843, 1004, 633, 254, 248, 348, 436, 14211, 368, 747, 13345, 29207, 4132, 19, 286, 272, 19, 16, 274, 432, 5396, 2104, 254, 695, 25196, 7636, 276, 633, 961, 289, 86, 368, 254, 3821, 561, 748, 915, 4150, 348, 16, 4244, 5047, 17389, 3564, 2186, 343, 555, 3135, 801, 254, 5352, 1450, 2586, 254, 40155, 33709, 254, 254, 4244, 248, 1934, 289, 25766, 587, 1449, 276, 248, 20267, 3135, 6231, 872, 11776, 457, 688, 14505, 254, 368, 5789, 37391, 801, 31573, 254, 3135, 2365, 3298, 7032, 311, 327, 289, 254, 16, 1395, 3135, 14, 282, 30687, 254, 1051, 3831, 774, 5396, 633, 248, 30323, 14, 597, 24654, 452, 2104, 633, 14, 6384, 2426, 580, 626, 4132, 248, 14, 683, 254, 457, 254, 4244, 2360, 984, 1051, 18847, 1920, 731, 3135, 4196, 327, 289, 14505, 17863, 1390, 274, 4076, 282, 85, 3294, 5575, 452, 282, 353, 1093, 4244, 15, 14, 4236, 457, 1606, 272, 254, 3483, 12406, 86, 3135, 328, 6627, 254, 2165, 5645, 274, 282, 85, 22338, 20, 272, 1004, 898, 1450, 17863, 1920, 311, 2485, 4244, 6211, 274, 683, 3854, 6931, 596, 13622, 85, 6205, 330, 14, 286, 5256, 311, 721, 740, 328, 22453, 5651, 24654, 633, 341, 31356, 16, 20955, 33879, 8738, 5127, 21886, 16, 14, 25, 20645, 6948, 6627, 12866, 15, 328, 4688, 286, 10949, 11114, 328, 20804, 561, 5694, 2517, 751, 18178, 3135, 2344, 282, 9234, 282, 289, 4328, 12055, 731, 4980, 188, 282, 29207, 14, 9919, 16, 597, 4282, 5396, 1919, 328, 276, 338, 16, 519, 5911, 1157, 328, 85, 505, 16, 13137, 286, 86, 624, 254, 4076, 4244, 14, 24, 13443, 21, 665, 17652, 587, 3422, 619, 254, 254, 16, 403, 510, 7325, 1038, 633, 24151, 254, 3135, 16, 6627, 20, 1390, 14, 3308, 188, 14769, 282, 274, 4244, 24642, 14, 4244, 14, 248, 188, 619, 1057, 29207, 3135, 980, 14211, 24228, 16, 353, 5575, 1897, 7793, 1026, 348, 17389, 16, 16, 254, 254, 19, 12067, 3135, 2080, 276, 6179, 39526, 2667, 10354, 4422, 324, 11114, 633, 2629, 19534, 4235, 683, 457, 311, 561, 368, 327, 12406, 14, 276, 14, 8955, 633, 2033, 633, 5645, 1012, 4236, 8955, 19, 311, 1450, 276, 633, 286, 7271, 3929, 587, 3083, 16, 248, 14, 6627, 274, 251, 38959, 353, 3944, 1450, 30189, 16, 633, 11114, 374, 282, 24654, 5767, 368, 1125, 289, 3252, 4325, 254, 188, 1180, 615, 12915, 16, 1449, 348, 286, 282, 188, 11114, 889, 12587, 2811, 328, 671, 254, 348, 2292, 14, 7032, 633, 254, 3901, 188, 254, 2666, 16, 282, 9165, 2165, 633, 254, 17628, 6400, 254, 633, 4244, 2251, 2686, 14505, 16, 3308, 4659, 81, 9165, 452, 624, 282, 1218, 396, 273, 254, 45958, 16, 368, 254, 282, 324, 7500, 14211, 16, 321, 5338, 721, 4422, 580, 14, 16, 16, 2442, 1033, 580, 353, 633, 248, 4919, 3135, 282, 282, 2056, 1382, 2374, 254, 19, 16, 1081, 510, 282, 18148, 6906, 6211, 21122, 476, 3660, 29207, 311, 45908, 338, 311, 85, 360, 869, 188, 188, 289, 457, 5575, 328, 1651, 3083, 276, 368, 11791, 88, 6948, 390, 16, 973, 4076, 1041, 2537, 596, 2517, 6334, 452, 5575, 30080, 390, 13220, 688, 2586, 254, 282, 977, 286, 3135, 2288, 9165, 1390, 1004, 2715, 286, 289, 900, 254, 2186, 1525, 695, 3135, 10149, 286, 4363, 4718, 2705, 16, 1755, 10068, 188, 14, 5396, 188, 633, 16, 13220, 974, 1002, 5575, 274, 286, 274, 311, 248, 3533, 9196, 15172, 274, 596, 16, 2110, 4273, 1395, 27022, 6458, 387, 324, 457, 1390, 311, 282, 748, 15, 14, 289, 5370, 3135, 343, 282, 4167, 26880, 587, 31314, 248, 254, 25, 328, 16719, 328, 669, 3083, 14, 729, 254, 282, 28957, 3135, 20484, 19, 3471, 11114, 512, 324, 274, 254, 1525, 5577, 9165, 24, 188, 254, 254, 1390, 1081, 21752, 282, 16, 641, 801, 3083, 328, 807, 597, 28957, 457, 11114, 7659, 16, 254, 343, 282, 721, 6203, 457, 633, 254, 2080, 4244, 10949, 2715, 390, 188, 16, 274 ]
[ 1, 6967, 27098, 1091, 23788, 2362, 14, 18, 3, 706, 23, 9300, 520, 368, 43, 5081, 310, 254, 337, 13061, 360, 4895, 22247, 2624, 3116, 1694, 248, 282, 188, 8946, 188, 457, 2714, 888, 8195, 852, 327, 338, 457, 3123, 719, 42658, 21444, 3701, 348, 7825, 16, 276, 25, 282, 254, 457, 7273, 1822, 1438, 286, 9429, 8946, 286, 2712, 1590, 618, 4574, 310, 79, 43, 561, 476, 35382, 254, 15, 3149, 1140, 14, 254, 3563, 33482, 4848, 4800, 401, 369, 2807, 1091, 1091, 282, 276, 188, 17967, 3408, 2819, 338, 282, 348, 11984, 636, 751, 510, 3763, 1270, 21770, 4428, 23104, 757, 1590, 6987, 17921, 314, 615, 763, 307, 2673, 86, 16, 2948, 23, 369, 7658, 520, 310, 785, 1590, 8195, 14, 188, 353, 1590, 16, 532, 13061, 188, 3928, 16, 636, 369, 15, 18, 353, 274, 314, 643, 21531, 1311, 852, 16, 9619, 339, 16, 353, 11841, 321, 374, 3834, 328, 188, 188, 188, 369, 33, 2020, 954, 6400, 188, 432, 74, 286, 8901, 3887, 1157, 457, 85, 807, 729, 4144, 37420, 26800, 3998, 1157, 429, 5322, 13283, 748, 188, 310, 353, 16, 286, 16888, 14, 310, 328, 2432, 16, 6400, 7688, 2211, 14, 1837, 5553, 369, 3198, 254, 390, 254, 8195, 1091, 282, 368, 0, 328, 6997, 2950, 254, 2041, 633, 369, 328, 403, 33, 25, 310, 663, 282, 12424, 520, 1590, 2055, 3360, 17013, 390, 3665, 16, 252, 12131, 1603, 365, 29, 954, 33, 7, 310, 369, 254, 1920, 188, 321, 1480, 86, 441, 254, 15, 43500, 29, 254, 387, 286, 1041, 1952, 188, 5330, 27062, 2056, 11, 532, 2065, 1438, 457, 188, 3556, 254, 345, 2318, 1815, 254, 29267, 11477, 500, 513, 1649, 31592, 254, 5081, 2083, 7584, 8443, 9642, 1091, 18, 1837, 188, 2008, 276, 3223, 16, 188, 328, 1250, 368, 13229, 32214, 378, 2950, 248, 580, 555, 328, 345, 8394, 369, 26401, 353, 324, 5330, 282, 274, 14, 286, 188, 5330, 248, 286, 1972, 1081, 45204, 282, 254, 4932, 264, 328, 248, 3530, 915, 11912, 642, 35821, 13061, 633, 563, 310, 368, 769, 772, 3155, 14, 38760, 7658, 679, 70, 432, 4848, 348, 1741, 1157, 2722, 380, 813, 254, 3074, 648, 670, 573, 12068, 15473, 835, 2537, 1708, 273, 23788, 6333, 343, 188, 324, 1907, 457, 9120, 835, 2545, 1181, 248, 14, 16, 6333, 3555, 188, 14, 86, 41430, 16, 248, 262, 274, 8621, 1931, 276, 2687, 16, 626, 14, 1091, 13494, 2430, 1623, 1590, 310, 1663, 2942, 3108, 17912, 2009, 282, 452, 417, 353, 13583, 7906, 2120, 188, 16, 1590, 14, 476, 248, 43, 16, 14743, 328, 276, 1444, 497, 274, 3470, 369, 328, 3609, 10725, 4369, 641, 248, 16, 1476, 8687, 2710, 2900, 8195, 729, 188, 33, 1063, 368, 254, 3701, 328, 1495, 14, 18864, 254, 324, 1590, 16297, 457, 650, 21285, 254, 1157, 457, 1212, 343, 9001, 7800, 387, 1503, 2245, 7025, 1934, 466, 1872, 751, 16, 17316, 43, 369, 248, 532, 274, 310, 188, 2980, 16, 286, 254, 2211, 9001, 282, 1091, 2683, 327, 14, 310, 9535, 188, 18317, 633, 254, 29, 432, 4941, 188, 328, 10259, 338, 254, 7754, 642, 1590, 282, 360, 248, 368, 47118, 273, 641, 30171, 14, 360, 466, 520, 749, 353, 286, 3156, 466, 274, 2779, 16460, 807, 670, 70, 338, 188, 3324, 841, 2654, 254, 1091, 16, 254, 1590, 85, 387, 1590, 25180, 6545, 250, 512, 841, 4009, 2379, 22996, 188, 18, 86, 380, 8356, 563, 8443, 1663, 2057, 371, 8687, 39144, 6073, 16, 254, 597, 274, 254, 188, 11, 2948, 254, 254, 18, 254, 310, 310, 374, 576, 457, 324, 1590, 688, 1708, 457, 338, 663, 479, 0, 10924, 510, 6914, 479, 286, 1590, 1853, 43, 2427, 248, 17967, 2072, 4966, 254, 12319, 757, 5707, 759, 454, 593, 14, 14, 18923, 6025, 6400, 369, 254, 19488, 520, 4931, 843, 2214, 348, 369, 368, 1482, 15491, 633, 811, 282, 361, 368, 343, 1590, 466, 954, 7078, 23670, 2733, 254, 3294, 3155, 807, 1143, 17449, 8195, 16888, 24031, 310, 5532, 28000, 6400, 641, 18429, 1091, 13151, 650, 25480, 749, 1631, 282, 25951, 310, 16, 1336, 286, 2546, 580, 276, 3435, 314, 18, 580, 43, 2654, 457, 2072, 286, 479, 3701, 4513, 1590, 648, 563, 2780, 2996, 286, 2675, 360, 1091, 3689, 1339, 593, 6400, 368, 1130, 596, 1091, 28716, 23, 1438, 5332, 1130, 328, 23791, 369, 282, 188, 1362, 1315, 37100, 311, 29, 361, 43, 4356, 597, 35382, 45349, 16882, 4047, 1212, 811, 70, 40096, 841, 33, 4574, 532, 5553, 273, 390, 479, 1074, 1970, 13591, 254, 14, 4186, 188, 10780, 16, 188, 521, 14, 15294, 47118, 282, 324, 15380, 328, 3419, 286, 1903, 5553, 17449, 16, 1364, 327, 1361, 532, 282, 436, 16, 16, 573, 254, 1856, 452, 23170, 867, 254, 2828, 18317, 311, 666, 369, 16, 12094, 33, 1862, 2714, 3223, 618, 1590, 368, 254, 1041, 52, 3763, 30194, 8728, 31222, 4603, 43, 479, 13229, 16, 35382, 248, 1360, 324, 276, 254, 282, 520, 254, 276, 763, 3294, 33, 1848, 43670, 1360, 2508, 1964, 16, 282, 15380, 324, 457, 16, 865, 390, 12057, 580, 1382, 4269, 310, 5553, 26087, 626, 328, 12057, 1590, 327, 45022, 188, 310, 274, 17886, 12057, 353, 1590, 327, 47118, 1193, 353, 25932, 254, 74, 843, 324, 16, 254, 328, 254, 310, 16, 642, 6086, 888, 188, 254, 28850, 5330, 383, 328, 22743, 5256, 3428, 337, 869, 1129, 282, 1619, 497, 282, 3108, 276, 254, 1441, 9470, 6297, 670, 32199, 24239, 282, 12617, 15, 14, 310, 5330, 3609, 428, 21696, 3428, 30555, 10187, 282, 47118, 86, 593, 852, 343, 1887, 361, 4806, 310, 16, 18, 18, 18, 8687, 369, 1919, 310, 2811, 3843, 3223, 872, 374, 188, 1964, 457, 1354, 248, 563, 311, 254, 310, 312, 254, 3, 3701, 328, 286, 8195, 2055, 1091, 286, 1649, 248, 16, 512, 272, 5332, 188, 452, 310, 14, 1091, 1059, 25830, 248, 1034, 387, 274, 380, 1837, 368, 369, 37093, 4474, 5710, 14, 633, 324, 1590, 13583, 18, 188, 772, 2731, 5580, 254, 16236, 286, 343, 374, 282, 33, 10233, 2714, 21511, 417, 839, 7061, 742, 327, 11, 14960, 5053, 282, 282, 6073, 432, 36, 7, 512, 353, 18429, 593, 4474, 441, 188, 748, 17905, 2714, 86, 403, 2494, 248, 2731, 14, 7061, 457, 254 ]
[ 1, 24, 347, 5537, 3595, 740, 496, 11752, 15352, 282, 13157, 188, 586, 42054, 721, 15456, 254, 274, 7034, 657, 14513, 338, 286, 274, 38, 18404, 276, 10692, 22579, 581, 4279, 276, 16, 14, 32385, 9048, 24782, 1555, 11, 22957, 26, 2088, 12116, 188, 254, 3063, 2088, 657, 276, 742, 17486, 774, 38724, 1379, 596, 3843, 426, 2066, 1017, 254, 188, 16, 1648, 2066, 42793, 14, 436, 2416, 254, 1982, 2828, 38, 37384, 11234, 26304, 4532, 1575, 188, 3551, 3819, 417, 20078, 484, 286, 1841, 347, 28, 38, 29521, 14, 10949, 2497, 2094, 587, 484, 273, 31097, 64, 23973, 21094, 34870, 481, 14, 45919, 23738, 85, 374, 28238, 1555, 324, 12116, 18991, 11062, 2966, 19, 188, 16728, 368, 12323, 4504, 33566, 63, 16, 14, 20368, 311, 3801, 7197, 265, 4568, 742, 16405, 10692, 25771, 2416, 16, 904, 7683, 254, 4298, 669, 7770, 347, 2641, 25771, 2689, 8443, 684, 286, 20299, 387, 40, 25, 457, 5039, 11, 4298, 38953, 2487, 2809, 2785, 33566, 596, 16, 1555, 751, 347, 347, 16, 0, 3333, 15, 16, 33566, 1018, 900, 286, 188, 16, 22081, 37712, 10949, 10181, 20305, 265, 282, 1027, 0, 592, 311, 4247, 15, 11585, 436, 15, 16, 10501, 6236, 311, 188, 10949, 3431, 91, 274, 47, 38724, 369, 407, 944, 1997, 10886, 14, 587, 8429, 8443, 1873, 473, 436, 14502, 956, 28, 254, 432, 655, 18, 960, 14, 1160, 15, 670, 33566, 38, 1081, 1575, 16, 68, 276, 22298, 1057, 18, 27, 4298, 9241, 16, 36071, 3963, 426, 1555, 17486, 32516, 271, 510, 273, 1610, 4298, 484, 11283, 188, 12641, 4358, 2416, 286, 314, 13493, 14, 1890, 15, 4, 403, 14, 85, 7792, 5039, 3199, 22362, 4298, 17790, 14, 8251, 380, 6027, 4, 44011, 1869, 825, 1555, 1120, 321, 510, 484, 4461, 188, 14755, 28, 25771, 36089, 1555, 286, 2779, 4131, 43218, 14, 1555, 4461, 282, 24, 1018, 347, 2689, 4589, 47977, 417, 4247, 14, 14513, 1018, 17426, 14, 15, 254, 11408, 14, 16, 4532, 1555, 4298, 248, 274, 426, 4279, 12816, 33566, 248, 68, 286, 248, 347, 5976, 15660, 14301, 18164, 353, 14, 4298, 61, 28, 28, 16, 276, 254, 47977, 7034, 12405, 338, 4145, 38724, 6900, 4756, 5009, 426, 896, 2987, 3628, 8443, 826, 4298, 16, 497, 387, 2399, 188, 14, 627, 13103, 436, 16, 16, 18806, 9289, 25, 1193, 1555, 340, 254, 436, 2088, 14, 61, 38, 1984, 36966, 17486, 9048, 4515, 671, 12323, 73, 254, 14, 31097, 670, 2630, 841, 12409, 2104, 426, 23281, 1450, 1416, 21, 390, 24033, 254, 3642, 338, 2332, 15722, 16164, 4, 10244, 24847, 693, 5116, 4532, 3518, 21545, 338, 21706, 24033, 4610, 2902, 4461, 10692, 436, 286, 254, 332, 8736, 254, 12409, 26618, 27, 276, 15, 1120, 7683, 274, 2181, 265, 18, 1044, 21805, 14, 15, 3135, 25054, 4010, 248, 21227, 16, 254, 14, 16031, 22887, 4532, 29241, 38, 311, 4298, 4383, 4247, 4298, 286, 2976, 826, 2088, 330, 14, 5555, 2630, 286, 188, 4515, 1146, 8221, 2785, 386, 2497, 1939, 274, 13103, 4504, 1555, 19, 888, 27, 17790, 8135, 16, 5809, 5555, 38, 14, 8776, 63, 376, 274, 4301, 254, 10433, 85, 188, 1286, 10794, 2330, 453, 254, 460, 22454, 14, 14, 23, 3831, 347, 9175, 8443, 188, 484, 5498, 4, 15, 44372, 626, 3642, 7197, 14755, 16, 1061, 272, 387, 282, 937, 4, 14, 8429, 7005, 1824, 407, 328, 8429, 68, 4461, 65, 47, 254, 347, 9622, 10568, 43578, 13999, 4298, 188, 12116, 1869, 286, 39100, 16, 324, 2689, 1180, 16, 7034, 4279, 38, 254, 568, 1516, 65, 11100, 254, 26, 4461, 3, 533, 19032, 11115, 16, 70, 6027, 254, 18415, 436, 4, 21567, 22135, 16, 2630, 63, 2689, 30463, 282, 1318, 324, 16, 436, 16, 282, 188, 2330, 1160, 14273, 11399, 960, 16728, 436, 473, 401, 17790, 432, 31097, 2411, 7197, 188, 12116, 839, 65, 387, 1146, 1555, 4298, 61, 7197, 311, 3101, 8443, 14, 64, 496, 14755, 436, 633, 426, 16, 79, 980, 16077, 4247, 14, 1555, 188, 24, 328, 23738, 2987, 25730, 30373, 2689, 14, 756, 1390, 15, 330, 7034, 3124, 274, 188, 74, 18, 16728, 254, 937, 2057, 4247, 4298, 4, 348, 286, 14, 16908, 276, 314, 4145, 65, 671, 311, 324, 282, 14, 254, 16, 369, 276, 7034, 1081, 14502, 22135, 19, 15352, 311, 19, 1545, 19032, 4298, 14273, 26487, 5039, 16164, 68, 188, 1146, 65, 2241, 14, 274, 311, 16, 7197, 4298, 3856, 310, 14502, 41089, 7034, 4298, 9241, 14, 3622, 436, 22887, 1450, 4400, 282, 3793, 4091, 633, 274, 4441, 273, 9519, 4442, 38, 4, 3184, 4091, 0, 34736, 4, 248, 4091, 248, 254, 12339, 347, 21, 282, 403, 3499, 4515, 15, 63, 670, 581, 10949, 14, 14, 31097, 24, 4515, 826, 2241, 956, 15660, 426, 2622, 2662, 2248, 1057, 719, 338, 47, 14, 1146, 1081, 188, 484, 9289, 188, 4298, 314, 657, 5626, 46062, 1146, 321, 274, 633, 4441, 8274, 14, 3086, 7683, 28, 830, 4610, 742, 16635, 274, 9519, 25771, 374, 16112, 25, 254, 1683, 1364, 47, 30774, 47977, 11782, 311, 314, 4314, 311, 4298, 188, 274, 510, 16, 16, 580, 343, 286, 28, 18, 385, 2487, 16, 3431, 61, 3642, 33566, 254, 4298, 188, 12816, 250, 39100, 8429, 889, 282, 16, 407, 683, 670, 22454, 671, 1018, 5555, 1081, 426, 16, 15, 20, 10, 7034, 3095, 510, 2442, 1822, 16164, 4298, 569, 26863, 27, 8331, 311, 16, 8443, 4091, 7034, 5787, 15, 15352, 7683, 17537, 269, 22316, 512, 13260, 671, 61, 254, 17570, 4298, 2057, 6234, 7637, 1545, 311, 1938, 3027, 74, 10283, 426, 2809, 481, 4504, 33566, 4298, 18901, 4298, 324, 14, 63, 8118, 8443, 7212, 14, 38708, 262, 426, 38, 314, 2127, 4, 18652, 5498, 14, 41942, 369, 9, 20865, 286, 347, 37716, 3479, 348, 286, 188, 16, 1018, 1212, 16, 2487, 16, 274, 19269, 1640, 390, 633, 14, 11183, 4610, 13103, 328, 188, 188, 188, 10270, 26, 30275, 254, 188, 11234, 4070, 274, 2057, 42793, 15, 2344, 10892, 188, 20305, 276, 28269, 1318, 31097, 43478, 9241, 2041, 695, 286, 18923, 254, 39991, 2641, 1555, 4091, 16, 12730, 4145, 10181, 10593, 254, 25771, 28, 188, 1656, 775, 40, 16, 4515, 476, 15397, 39100, 16, 657, 2487, 4, 14, 188, 2442, 23738, 348, 25093, 1732, 14, 65, 4298, 38, 368, 17523, 39100, 20299 ]

[ 1, 4698, 14540, 0, 1516, 1213, 4767, 7060, 37, 14643, 394, 1703, 561, 15, 321, 286, 6640, 16, 11478, 1618, 26, 387, 33177, 2055, 382, 3258, 9042, 26650, 1004, 1601, 14, 22, 27638, 3, 3388, 3405, 282, 4767, 2674, 380, 18, 2849, 248, 18, 254, 338, 457, 2893, 282, 29034, 18546, 274, 286, 641, 3405, 890, 21910, 38833, 2081, 9737, 411, 20228, 254, 188, 8460, 9942, 254, 286, 374, 10563, 19, 7362, 13728, 10974, 2774, 15, 14, 4109, 288, 16, 4316, 14, 282, 16, 343, 274, 343, 16, 641, 3957, 14, 29221, 633, 2631, 85, 368, 756, 3164, 615, 22, 16, 18, 2630, 671, 14, 16, 3284, 1340, 16, 1952, 390, 248, 1033, 1041, 16843, 14, 3046, 950, 1822, 14540, 286, 254, 276, 12185, 9243, 4853, 607, 457, 7738, 11719, 4552, 3858, 14, 35835, 1544, 274, 1091, 18, 2941, 14, 436, 274, 16, 188, 282, 2104, 3838, 489, 254, 368, 887, 248, 2177, 16922, 5869, 19583, 4960, 14, 1603, 411, 22060, 387, 12399, 4605, 2075, 372, 4087, 14, 20490, 323, 418, 274, 9495, 343, 254, 4580, 286, 19, 14, 1416, 328, 12347, 520, 276, 282, 18, 747, 536, 18, 6086, 286, 328, 368, 668, 4416, 10629, 1289, 9749, 3442, 11581, 14, 354, 4297, 1953, 2187, 1618, 1694, 16843, 2479, 328, 618, 26638, 432, 338, 274, 609, 32223, 282, 2263, 42, 14, 674, 2200, 27, 432, 1361, 188, 441, 7046, 44082, 282, 274, 11336, 432, 2139, 14, 3292, 188, 14452, 946, 321, 12625, 286, 32509, 3834, 721, 1063, 280, 13397, 282, 5962, 1970, 14, 5362, 328, 286, 2440, 597, 15, 9042, 188, 1471, 28175, 593, 3405, 45139, 643, 10411, 2371, 21, 1917, 455, 398, 286, 46962, 16, 4297, 380, 343, 10648, 41352, 16, 4585, 40112, 406, 5998, 2292, 286, 16, 38833, 40357, 274, 16, 16, 17058, 496, 40717, 2631, 403, 4698, 14, 9038, 655, 33177, 709, 282, 14, 496, 721, 43095, 327, 14, 427, 380, 254, 772, 2066, 4028, 71, 2633, 310, 16, 15, 28503, 14, 14, 2114, 32474, 28819, 4959, 4977, 16, 2133, 79, 27638, 46217, 4633, 374, 33028, 1213, 15111, 286, 403, 2436, 9772, 13168, 14, 668, 19671, 34710, 254, 7753, 1265, 390, 5566, 324, 27, 624, 314, 248, 9641, 14, 21, 14, 286, 16, 282, 254, 683, 18, 311, 4150, 254, 254, 2421, 14, 4418, 407, 11581, 254, 7767, 276, 15, 310, 374, 3921, 4959, 3874, 915, 248, 286, 318, 411, 43477, 18, 13686, 24, 254, 1315, 19046, 23660, 14301, 2144, 4654, 368, 188, 1896, 452, 338, 401, 642, 2288, 14, 2672, 343, 338, 8177, 1618, 555, 4633, 328, 2253, 1116, 14, 274, 14, 10611, 12467, 3994, 15, 17271, 411, 338, 10746, 33540, 7789, 9852, 3856, 368, 3, 3758, 7432, 9811, 254, 479, 14, 27, 311, 7137, 14073, 254, 2893, 1588, 497, 7485, 432, 254, 353, 683, 14, 286, 434, 0, 683, 14, 16603, 1806, 3206, 286, 2916, 286, 16523, 358, 22060, 3550, 18, 561, 338, 14, 3371, 4087, 407, 282, 9012, 46187, 25948, 5962, 387, 25035, 16, 16, 1106, 16, 21, 353, 3371, 14053, 452, 8795, 1395, 274, 14, 8352, 14, 10243, 16843, 4684, 250, 4517, 10152, 742, 1422, 19212, 18, 1305, 872, 286, 1665, 595, 16, 34136, 2421, 407, 348, 3998, 1427, 282, 457, 387, 311, 489, 839, 321, 387, 16, 1920, 28, 3615, 16, 706, 10856, 407, 3260, 1305, 4647, 286, 13129, 13168, 958, 781, 282, 4966, 6682, 2177, 2948, 282, 356, 4960, 4590, 254, 7797, 19, 21030, 1963, 587, 31844, 46962, 321, 18, 510, 14, 11666, 1748, 1160, 16, 1318, 16, 20237, 14, 254, 14, 10746, 8799, 2211, 1648, 14, 282, 4727, 668, 18224, 443, 248, 4549, 310, 9729, 596, 1922, 24556, 21121, 4307, 1205, 7760, 709, 16, 0, 3371, 959, 411, 15, 13010, 282, 3, 7457, 3847, 915, 286, 6086, 14, 2479, 387, 33780, 740, 2211, 807, 596, 274, 248, 352, 2499, 71, 412, 4418, 896, 4310, 3371, 14, 624, 274, 343, 4826, 328, 16, 9627, 2093, 4452, 16, 3480, 4250, 3405, 188, 22, 686, 274, 5125, 3847, 1021, 14, 39868, 272, 5998, 10828, 71, 6201, 1242, 16, 4144, 737, 17682, 437, 368, 16, 4654, 21123, 11635, 436, 2057, 282, 24417, 20560, 16, 254, 324, 663, 276, 615, 14, 0, 1361, 32775, 276, 38833, 14, 282, 8739, 274, 47783, 14, 1339, 4552, 27638, 7701, 7869, 282, 11, 29440, 510, 1416, 6629, 1336, 2702, 40513, 2286, 16, 2674, 2706, 2286, 272, 343, 0, 20238, 4767, 3544, 22, 4698, 2865, 24, 27421, 16, 274, 14, 1917, 27, 2421, 254, 2875, 254, 394, 2006, 19057, 14, 254, 7475, 10786, 14, 3148, 282, 4326, 282, 2006, 1336, 276, 1892, 16843, 7754, 642, 1618, 15, 41071, 9042, 22, 410, 374, 407, 15381, 21, 10648, 1582, 14, 587, 26384, 10629, 368, 763, 354, 26, 20560, 44575, 324, 626, 1081, 512, 369, 331, 10786, 14, 282, 3941, 12472, 4626, 272, 3364, 286, 14, 9205, 17649, 188, 14, 719, 695, 12352, 188, 1255, 4186, 10152, 10746, 11249, 14, 15466, 286, 374, 248, 16843, 6928, 1247, 14, 3874, 10611, 502, 6914, 394, 576, 6236, 32829, 1464, 7787, 2508, 374, 13728, 561, 7560, 14, 286, 18767, 10786, 27, 85, 14, 14, 16, 2941, 276, 28175, 432, 18, 587, 23, 254, 282, 406, 533, 282, 276, 2728, 10778, 282, 5330, 23096, 14, 14643, 311, 4078, 1400, 338, 20228, 254, 254, 26820, 286, 367, 2989, 85, 5510, 276, 569, 4028, 380, 15, 286, 512, 16, 12731, 41176, 16, 4149, 772, 327, 43631, 852, 324, 3847, 1480, 642, 5769, 843, 3051, 286, 40608, 11581, 248, 311, 6132, 8138, 16, 3605, 276, 520, 10563, 282, 510, 4552, 286, 9127, 343, 7787, 3997, 2893, 742, 286, 343, 12129, 39820, 21, 520, 345, 13050, 573, 16, 14, 12002, 11490, 3605, 17906, 394, 16, 282, 38, 939, 1845, 4904, 418, 390, 274, 188, 12075, 436, 10436, 321, 1631, 5998, 13799, 291, 348, 328, 14, 9138, 286, 603, 633, 29287, 756, 6204, 14, 11581, 1622, 19, 520, 771, 407, 2350, 1545, 330, 398, 27, 510, 407, 34445, 8918, 915, 8702, 7012, 624, 5678, 11581, 21, 14, 321, 854, 15599, 13269, 14, 1953, 5086, 282, 41176, 9495, 4698, 254, 324, 1867, 26253, 801, 1521, 248, 17090, 286, 1368, 13939, 254, 4552, 16, 1364, 282, 2633, 513, 520, 587, 14, 1062, 1502, 286, 14, 33177, 520, 5909 ]

[ 1, 1800, 42520, 603, 16, 3986, 2513, 1885, 65, 29708, 682, 8037, 647, 926, 16, 332, 65, 543, 28472, 16, 37343, 647, 65, 2165, 7043, 647, 926, 17380, 282, 16, 35156, 1619, 1601, 611, 393, 254, 46014, 440, 647, 19, 3185, 1601, 10, 1601, 11970, 16, 19, 332, 276, 4960, 1885, 470, 2513, 1740, 297, 23, 2165, 332, 2265, 4862, 10, 407, 13446, 1324, 28332, 29708, 16, 11, 376, 39259, 16, 274, 647, 20, 28, 65, 7, 6421, 10, 65, 426, 684, 647, 1003, 1155, 9483, 426, 426, 526, 276, 65, 512, 24512, 426, 9862, 28, 9060, 20, 393, 562, 30875, 35156, 21742, 273, 10, 65, 16, 2265, 8780, 9, 5550, 65, 65, 1601, 65, 3986, 14, 65, 311, 38862, 38354, 3185, 14, 65, 2192, 2513, 611, 647, 647, 743, 66, 1067, 1569, 65, 3713, 300, 4862, 332, 2360, 8249, 3291, 432, 1601, 16, 20, 2621, 1076, 38862, 3986, 1800, 589, 13456, 3239, 11916, 16, 35156, 65, 1807, 65, 15, 743, 1146, 314, 2290, 13640, 77, 18995, 811, 5141, 65, 426, 2360, 43936, 79, 338, 1139, 1067, 10, 1155, 647, 611, 19, 4090, 332, 34903, 34906, 14, 3588, 33096, 254, 297, 6421, 16, 46691, 6732, 3158, 426, 65, 562, 682, 1581, 286, 65, 11, 20409, 19, 10, 3226, 321, 1807, 71, 19, 611, 596, 611, 7043, 254, 273, 9882, 276, 784, 3769, 10852, 6732, 684, 647, 77, 647, 46014, 26, 684, 366, 2290, 38862, 14, 376, 2498, 4937, 274, 276, 20409, 332, 426, 65, 34903, 5310, 6732, 647, 4862, 1262, 31, 460, 867, 1160, 65, 19463, 11970, 297, 65, 65, 254, 1800, 1308, 5564, 4113, 65, 647, 28, 5868, 3782, 10, 638, 426, 309, 2290, 21742, 254, 1324, 887, 1210, 8701, 647, 562, 10, 27820, 589, 38354, 7352, 65, 61, 926, 79, 2192, 47183, 8249, 468, 16, 2621, 797, 46014, 1826, 11970, 13033, 867, 3239, 29708, 16, 638, 16, 273, 282, 1358, 332, 2192, 16, 8866, 615, 611, 324, 1003, 274, 12436, 16, 1155, 1139, 254, 2258, 11970, 324, 1146, 3537, 65, 611, 18995, 276, 1800, 332, 4113, 332, 1057, 29708, 1139, 1827, 327, 1800, 1358, 2621, 77, 512, 14803, 79, 9060, 611, 10, 38354, 16, 16, 647, 1242, 562, 1800, 21742, 3876, 426, 3986, 12436, 2551, 20890, 1807, 13930, 65, 647, 65, 19, 603, 8866, 31, 6421, 3986, 558, 460, 12213, 1952, 276, 1262, 332, 15, 20890, 8866, 21162, 16, 65, 791, 426, 16, 6732, 426, 841, 276, 16, 1466, 2012, 10, 20258, 28, 11, 647, 5868, 13033, 1980, 266, 793, 1195, 10, 1155, 26491, 3434, 85, 626, 274, 1369, 1601, 38862, 6732, 638, 3291, 829, 79, 2384, 11, 647, 756, 11, 1800, 10611, 2280, 353, 21162, 65, 324, 65, 65, 1068, 65, 42520, 274, 276, 5868, 1466, 6099, 11970, 65, 647, 647, 338, 6732, 1581, 276, 1980, 65, 14, 16, 20409, 1601, 2290, 3158, 30672, 1980, 10, 65, 23, 286, 274, 79, 28332, 10, 16, 1601, 31, 3986, 39259, 638, 926, 3537, 28, 2706, 9436, 5141, 19, 2012, 684, 13446, 297, 2513, 1466, 16, 926, 440, 77, 1601, 611, 926, 10, 4259, 65, 21313, 6732, 16, 647, 66, 46014, 1800, 10, 3986, 562, 2557, 65, 603, 1581, 65, 65, 611, 29708, 647, 23865, 9060, 603, 743, 95, 276, 276, 1855, 526, 11916, 3876, 16, 558, 28332, 65, 21742, 1262, 324, 14, 65, 332, 324, 374, 47183, 297, 282, 20202, 426, 1142, 7954, 16, 65, 25806, 403, 5868, 16, 324, 1885, 29264, 1601, 46691, 7954, 16, 4859, 2498, 1139, 2290, 54, 7954, 1980, 1142, 403, 784, 2386, 10, 282, 54, 276, 360, 611, 1146, 1885, 77, 684, 9862, 21723, 70, 11, 1465, 647, 21162, 20580, 10, 562, 647, 647, 1358, 20, 274, 647, 65, 432, 65, 20258, 5313, 16, 426, 46014, 2290, 1358, 2012, 24512, 603, 11601, 956, 45, 440, 276, 11970, 38862, 1139, 14, 756, 1578, 5313, 1952, 452, 2621, 19028, 21723, 3588, 21742, 25308, 332, 6443, 611, 5734, 20580, 2474, 26329, 7043, 1800, 297, 23865, 47859, 2315, 7043, 19, 311, 7043, 332, 2621, 1952, 543, 426, 324, 20580, 29708, 426, 1807, 10, 3291, 5868, 393, 1581, 45, 13446, 31, 6732, 10, 603, 274, 6938, 39259, 11033, 4640, 6732, 9060, 65, 818, 276, 6421, 3986, 476, 332, 19991, 647, 1067, 21742, 85, 647, 11, 3291, 1155, 31232, 3185, 29708, 273, 14, 10, 926, 7321, 684, 826, 286, 9436, 8037, 16, 297, 16, 3588, 65, 763, 79, 46014, 647, 2349, 343, 79, 47183, 254, 926, 16, 426, 426, 1339, 5550, 6472, 6732, 687, 324, 2513, 273, 65, 543, 65, 297, 6341, 297, 19, 6341, 324, 426, 642, 743, 1139, 1003, 28, 66, 45, 47147, 1601, 647, 248, 11, 38354, 829, 647, 751, 14, 4311, 7352, 20, 611, 16, 65, 801, 2280, 41024, 887, 2498, 13657, 16, 6732, 8622, 10, 1800, 33096, 1003, 28, 255, 65, 926, 1139, 274, 417, 374, 332, 10611, 8622, 332, 79, 2165, 285, 20580, 926, 324, 332, 7043, 79, 615, 19, 3434, 11, 16094, 65, 1885, 14177, 21742, 26, 8941, 5310, 11033, 2290, 2012, 6593, 804, 9, 426, 77, 19, 562, 276, 603, 19, 1004, 1885, 2498, 11970, 10, 1195, 7043, 28, 20, 496, 65, 16, 426, 804, 926, 926, 3291, 2498, 1210, 19, 14, 65, 4862, 3588, 10, 647, 19, 18995, 4906, 18, 611, 21162, 611, 682, 13855, 756, 11, 38354, 684, 79, 65, 297, 11970, 14018, 16, 14, 22944, 34903, 248, 26, 35156, 829, 638, 16, 647, 65, 684, 4640, 16909, 3876, 376, 16, 1003, 432, 818, 2224, 1076, 29708, 311, 282, 23, 274, 2362, 10, 647, 7043, 611, 9060, 286, 6341, 791, 615, 3185, 1358, 4862, 9483, 332, 38354, 16, 9436, 562, 6732, 589, 1139, 743, 65, 1067, 18543, 28, 85, 10, 2165, 1003, 65, 7043, 37343, 1155, 372, 9060, 29264, 647, 274, 647, 2551, 417, 1139, 2290, 403, 638, 9060, 254, 2621, 11055, 276, 7548, 2034, 273, 35296, 682, 1980, 15765, 611, 28, 5913, 14, 29708, 615, 3986, 426, 7043, 407, 647, 274, 321, 1980, 2192, 12541, 481, 65, 2102, 353, 28, 9862, 11970, 46014, 248, 16, 1885, 1534, 254, 10, 1581, 65, 6421, 4744, 65, 2513, 611, 20, 21742, 2621, 4937, 28, 1139, 596, 338, 65, 70, 6732, 79, 16, 12767, 338, 826, 35156, 1885, 3986, 2280, 801, 1885, 16, 11, 3537, 603, 273 ]

[ 1, 14, 28845, 2797, 9733, 8112, 14, 3290, 286, 348, 16158, 282, 3736, 11, 324, 3446, 46923, 282, 2057, 3217, 16, 18, 324, 497, 403, 86, 1574, 4994, 1074, 14, 16, 6577, 3227, 16, 22760, 438, 1316, 15, 4343, 4184, 843, 4603, 248, 6053, 785, 624, 380, 942, 6432, 11072, 8925, 16, 276, 555, 14, 2860, 869, 9150, 16, 6750, 67, 254, 276, 963, 9548, 254, 1193, 457, 15, 3514, 4662, 276, 16158, 5189, 443, 633, 310, 16, 642, 8899, 311, 367, 2450, 2214, 23989, 321, 276, 311, 16, 14, 16, 16, 14, 16707, 16, 2672, 867, 286, 561, 1856, 3805, 14, 16, 1963, 7227, 311, 22760, 16, 378, 6179, 1283, 407, 8227, 597, 835, 15500, 8575, 6285, 624, 254, 47, 2705, 248, 16, 274, 6759, 14, 16158, 248, 7086, 843, 75, 11668, 22, 24833, 27449, 16158, 826, 587, 15, 4179, 587, 248, 2028, 1678, 4975, 830, 14, 532, 311, 14, 67, 327, 432, 338, 16707, 3858, 14, 1999, 5779, 2362, 327, 47706, 47, 6743, 578, 848, 7485, 633, 311, 4518, 1213, 374, 25837, 2378, 258, 324, 23342, 5346, 286, 476, 16158, 819, 6285, 310, 11924, 24, 286, 513, 327, 9804, 24833, 14, 3561, 8927, 2696, 254, 16707, 1508, 2123, 254, 254, 22760, 11878, 16, 18, 248, 14, 254, 1390, 282, 331, 2023, 9621, 282, 6216, 16, 13899, 440, 14, 1565, 801, 5913, 1603, 286, 1594, 8372, 45817, 282, 14, 282, 18, 2814, 7, 25324, 369, 314, 348, 1527, 16, 14, 14, 85, 729, 14, 13281, 338, 368, 19, 286, 7056, 2124, 1631, 15, 274, 17258, 276, 16, 21233, 14, 24376, 2672, 486, 8085, 533, 2860, 5370, 282, 47724, 276, 368, 18, 7529, 801, 14, 274, 188, 4405, 3017, 3201, 254, 1901, 18866, 21618, 513, 1091, 2829, 276, 47, 282, 28319, 0, 8304, 188, 10059, 686, 286, 15204, 16, 2175, 5786, 311, 5022, 331, 314, 14, 2485, 2391, 7617, 6699, 47, 8787, 1491, 633, 18, 2365, 14855, 6752, 2692, 2186, 5384, 20, 12140, 314, 317, 3881, 8886, 1432, 11380, 14, 407, 578, 615, 330, 17538, 8085, 4264, 14, 5779, 14, 11, 1186, 47, 348, 1491, 282, 348, 28, 15192, 11711, 3622, 276, 14938, 30172, 29283, 3444, 14, 23283, 8927, 22762, 18106, 2714, 254, 3570, 8085, 3396, 286, 47, 327, 7575, 67, 276, 387, 476, 324, 16707, 311, 248, 1091, 3177, 1041, 12777, 1316, 20617, 1280, 4153, 1999, 2519, 276, 370, 11, 21657, 5419, 380, 5854, 6759, 343, 7626, 452, 1767, 286, 276, 47, 1131, 286, 276, 665, 286, 188, 1285, 869, 24922, 331, 607, 348, 1827, 1860, 25594, 248, 19, 327, 1525, 1036, 254, 274, 14938, 12680, 11750, 1205, 2672, 1309, 6697, 13, 369, 311, 7617, 18863, 282, 286, 4110, 34741, 276, 16, 251, 6007, 8299, 3446, 17923, 16158, 18381, 77, 286, 368, 348, 1024, 311, 343, 286, 9604, 4076, 282, 14, 14, 1247, 272, 15701, 276, 48170, 16468, 5779, 254, 5575, 248, 2251, 436, 8112, 274, 13188, 970, 27880, 274, 3561, 321, 47, 67, 4441, 14369, 47724, 331, 16, 5060, 848, 1544, 8112, 24922, 1845, 8856, 16158, 2154, 331, 2485, 276, 13448, 16707, 687, 324, 1241, 188, 18, 282, 327, 8112, 5189, 286, 282, 37018, 16, 286, 16, 311, 22, 7916, 286, 282, 4351, 398, 248, 254, 10770, 14, 348, 457, 387, 23, 6752, 3805, 382, 13, 67, 6384, 28, 16707, 85, 20220, 11282, 1036, 276, 683, 348, 6319, 6064, 324, 343, 489, 486, 321, 12777, 1603, 3446, 274, 282, 5325, 286, 4602, 254, 5713, 327, 695, 16, 343, 67, 19, 15701, 30072, 338, 1354, 825, 11805, 20446, 21618, 5022, 16, 6320, 403, 338, 569, 4432, 774, 1205, 2041, 368, 1648, 14, 73, 1033, 2703, 1767, 348, 331, 331, 16, 8112, 14, 276, 16, 16726, 2290, 1794, 512, 311, 327, 8216, 407, 248, 276, 3681, 11, 6750, 48178, 282, 12120, 9701, 22590, 38350, 274, 248, 67, 28984, 10337, 248, 1491, 41734, 15701, 4861, 331, 45817, 276, 4928, 2918, 23315, 615, 254, 29, 14, 496, 6285, 16707, 331, 27, 954, 15679, 248, 10147, 2212, 45817, 10501, 633, 17394, 16, 10557, 274, 6700, 1205, 963, 15701, 327, 3551, 16, 375, 801, 6752, 85, 9283, 248, 9526, 14, 5189, 2237, 14, 276, 40, 3888, 1188, 12782, 286, 25113, 11190, 35221, 27135, 254, 286, 16, 1822, 15787, 671, 300, 348, 274, 5043, 42974, 5095, 436, 17044, 3201, 2860, 27874, 272, 18, 4947, 254, 276, 23279, 6435, 274, 17258, 16, 282, 3498, 3066, 6285, 2591, 869, 254, 9621, 286, 16158, 8690, 8301, 15410, 28905, 1842, 282, 1280, 310, 4867, 29311, 282, 8183, 1283, 2218, 0, 14938, 20, 16, 25173, 5022, 10147, 592, 5146, 22590, 7726, 29700, 16, 683, 311, 16707, 48208, 6319, 2672, 374, 27, 282, 1631, 353, 286, 286, 642, 3994, 14, 15701, 7142, 2714, 1004, 327, 286, 368, 24075, 251, 348, 15383, 274, 401, 272, 14, 2472, 248, 6287, 2025, 29700, 29, 12200, 21759, 17, 14, 22589, 835, 274, 378, 6285, 3468, 91, 24833, 555, 248, 628, 15536, 85, 596, 1500, 38522, 24, 348, 20778, 348, 417, 282, 15, 1525, 6215, 695, 25919, 14, 1093, 11805, 274, 1074, 407, 2363, 269, 286, 286, 1631, 6646, 1500, 437, 282, 7626, 67, 6344, 5838, 17058, 16, 624, 47706, 17797, 476, 14, 628, 683, 695, 380, 276, 6906, 21067, 14, 747, 45817, 248, 9902, 6025, 1754, 16, 27310, 779, 532, 248, 1225, 5626, 16, 5787, 4125, 254, 11342, 11304, 13448, 4438, 282, 7227, 265, 13632, 457, 2247, 282, 1260, 695, 13281, 23, 16707, 26779, 5838, 1606, 18451, 11590, 274, 1827, 1999, 4632, 436, 324, 561, 274, 6053, 5060, 282, 8574, 85, 17652, 15, 47, 14654, 282, 11711, 573, 311, 5095, 16, 16158, 8835, 254, 28, 839, 18, 19937, 4466, 1242, 47, 4917, 274, 276, 274, 633, 422, 390, 0, 67, 15, 18, 5708, 11367, 774, 254, 324, 33, 457, 331, 2363, 11176, 4868, 327, 310, 16309, 403, 970, 282, 643, 486, 5022, 7411, 642, 286, 254, 14, 3800, 254, 2006, 16461, 7214, 286, 15701, 8574, 8372, 4333, 34741, 1464, 286, 15397, 1841, 5256, 17258, 2777, 286, 3017, 555, 274, 4845, 254, 18, 276, 286, 1045, 1017, 4214, 4928, 21196, 9889, 5342, 12015, 16, 45817, 254, 669, 276, 1055, 2363, 11115, 14, 343, 4022, 314, 8117, 1074, 16, 254, 7554, 2672, 16158, 7583, 348, 17109, 286, 334, 18007, 22519, 1869 ]

[ 1, 35, 390, 1491, 0, 331, 286, 286, 21, 254, 188, 14, 5261, 1220, 22, 9927, 17, 282, 14, 14, 18241, 5172, 57, 5002, 2234, 5913, 27745, 276, 11081, 1074, 452, 1180, 836, 2471, 19, 274, 14, 44, 10456, 495, 254, 16, 14, 28, 14, 254, 2024, 262, 42081, 26, 417, 26558, 18, 21, 4658, 457, 36, 3831, 1401, 324, 2352, 1851, 14, 36, 14, 14, 5722, 27, 28208, 1180, 2511, 325, 489, 4453, 23, 17554, 476, 5650, 4658, 4236, 248, 71, 18251, 16, 489, 1091, 2080, 4658, 276, 4556, 74, 18, 14, 390, 3239, 28, 10999, 282, 9927, 325, 369, 457, 274, 16, 5574, 1148, 576, 9927, 4892, 510, 248, 6585, 21, 14, 276, 366, 254, 286, 71, 4793, 671, 331, 297, 3792, 76, 188, 11674, 42011, 18, 407, 16, 27, 378, 633, 5541, 14, 18, 14, 10319, 286, 841, 18, 18, 16, 1967, 14, 248, 8712, 587, 36, 43080, 29166, 4658, 533, 954, 14, 274, 254, 10229, 1851, 17, 331, 282, 276, 274, 802, 5105, 603, 29, 68, 328, 21, 286, 4556, 9154, 14, 14486, 27348, 51, 772, 23, 1180, 5837, 16, 3371, 29528, 21524, 14, 576, 254, 248, 18, 331, 9927, 633, 28, 71, 282, 2079, 6452, 772, 274, 311, 324, 6279, 27, 19, 581, 9927, 274, 254, 671, 311, 8364, 802, 2453, 407, 36, 18, 265, 12345, 0, 18251, 17, 328, 273, 9927, 282, 671, 16, 19, 607, 387, 1321, 6452, 24, 71, 14, 36, 254, 4795, 23, 12007, 27340, 380, 25, 1888, 14, 16, 274, 14, 286, 39689, 18251, 23, 2272, 2079, 4061, 2408, 4795, 12846, 434, 2643, 2421, 324, 2086, 17785, 1824, 16, 16, 22, 1588, 345, 14397, 23, 12881, 669, 14, 254, 4926, 1014, 2903, 71, 9927, 5192, 48, 35, 85, 3703, 687, 29, 624, 4236, 4795, 6681, 18, 1844, 9148, 481, 26714, 2069, 1855, 6013, 37698, 43604, 14, 13875, 1395, 27, 14, 21, 23, 19, 2477, 0, 3327, 286, 743, 4971, 18, 629, 17741, 22, 1855, 16, 5566, 18, 14, 743, 16, 5105, 331, 13034, 743, 18, 2079, 633, 254, 14, 21, 311, 42345, 43931, 20197, 1076, 3506, 20957, 4589, 1707, 18251, 2828, 2779, 5461, 5194, 18, 1091, 5495, 311, 2079, 30534, 4236, 28018, 6452, 6545, 3468, 18, 378, 25, 3551, 706, 555, 3005, 14, 276, 282, 254, 276, 4028, 48, 4795, 1923, 30534, 1967, 254, 2893, 23, 327, 1640, 16, 495, 27, 841, 8841, 4204, 27514, 27, 1045, 5742, 5722, 13069, 2960, 1212, 19157, 248, 670, 44, 18, 26, 19157, 9569, 0, 10840, 311, 19, 10223, 286, 264, 51, 254, 2079, 85, 31135, 4795, 324, 8872, 729, 254, 1002, 30534, 323, 1148, 1193, 274, 16788, 27, 14452, 328, 388, 35891, 1460, 390, 368, 248, 36, 436, 403, 14, 16, 633, 24, 642, 248, 8814, 18, 14, 15116, 900, 13906, 16, 41504, 2701, 53, 6452, 403, 14, 254, 9364, 403, 18, 551, 42345, 274, 9927, 6359, 16436, 2204, 4236, 8398, 1767, 14, 615, 5722, 26714, 15346, 28, 276, 14, 37, 20, 14, 286, 665, 4269, 1460, 3239, 311, 369, 282, 11780, 21, 5619, 6409, 48, 1148, 331, 9927, 14, 33874, 884, 24957, 497, 48, 11055, 17358, 276, 432, 770, 19, 7464, 1260, 9927, 6637, 248, 254, 23, 254, 1683, 16, 188, 2024, 6189, 21898, 4002, 0, 254, 254, 633, 36050, 311, 276, 2133, 7094, 21, 1322, 16, 286, 188, 6452, 750, 71, 9905, 254, 4104, 374, 5329, 14, 12728, 4926, 1012, 12895, 642, 19, 3015, 14, 24, 21, 314, 4795, 6186, 16, 254, 9927, 4817, 18, 254, 276, 7701, 4742, 14, 4438, 18251, 1615, 2426, 48056, 5183, 27, 2653, 14, 15, 5715, 338, 20615, 555, 1487, 2782, 12796, 11799, 22, 23164, 273, 6640, 30534, 4552, 21, 374, 25, 14, 48, 254, 274, 324, 32056, 14, 25, 254, 26349, 22, 1963, 2069, 274, 53, 1395, 48, 43604, 15943, 22, 14, 1855, 6141, 14, 555, 1914, 331, 3665, 5628, 42, 16, 4356, 21, 5852, 498, 1927, 23, 1213, 13854, 4795, 3812, 4797, 5715, 4144, 48, 16, 14917, 28046, 13056, 19770, 35891, 7096, 388, 19, 188, 27, 1212, 18251, 18, 285, 432, 84, 54, 2859, 10436, 2514, 668, 374, 3061, 14, 188, 6452, 706, 48, 23, 28, 7738, 14, 35891, 31782, 11313, 273, 16, 7829, 35891, 12605, 695, 23749, 14, 331, 370, 1963, 8872, 21348, 27, 14, 4795, 248, 16, 23832, 14, 325, 324, 16, 378, 11003, 30534, 274, 27, 41504, 9927, 47358, 41846, 16, 3294, 375, 3556, 406, 0, 36749, 328, 16, 16, 436, 254, 23, 5830, 368, 4236, 4683, 338, 407, 27, 3417, 8085, 16, 900, 4442, 353, 26558, 633, 27348, 30534, 3831, 4236, 314, 14, 14334, 188, 4901, 44, 18251, 3487, 274, 254, 1186, 2426, 14612, 188, 1590, 5708, 92, 6452, 4864, 2079, 20, 2512, 41504, 311, 274, 22, 19052, 370, 22, 3442, 29092, 834, 2534, 476, 5183, 555, 10487, 2079, 1544, 3446, 1247, 4580, 286, 5053, 286, 3278, 561, 2636, 353, 15, 33519, 5183, 374, 7785, 2378, 388, 5243, 41504, 1322, 276, 21, 495, 16, 16, 18, 84, 374, 8364, 18139, 1321, 22, 14, 1220, 282, 26, 23962, 369, 16, 276, 12846, 26793, 286, 9927, 23749, 18415, 71, 16, 2790, 470, 23, 28482, 15116, 4658, 4432, 615, 14, 9392, 2371, 20197, 22, 1017, 23, 353, 596, 4795, 282, 2996, 254, 282, 9812, 1090, 273, 8085, 4658, 188, 282, 43931, 10645, 24812, 331, 3792, 457, 22, 22, 24, 18139, 188, 16, 35891, 36, 9725, 36, 22, 28046, 23906, 3312, 85, 27, 374, 254, 843, 826, 27348, 254, 529, 5574, 4549, 390, 5525, 338, 274, 254, 286, 403, 706, 14, 378, 16, 596, 20, 706, 1860, 42, 8782, 36, 296, 23, 254, 12890, 286, 1153, 16, 603, 974, 360, 5183, 22, 18, 16, 16, 6452, 27, 16506, 2234, 4503, 802, 16, 9927, 15, 1491, 4243, 533, 2206, 6207, 1457, 16, 28741, 3233, 1148, 44, 19447, 15116, 71, 33, 29689, 43962, 311, 2237, 85, 743, 42849, 23, 668, 2518, 5628, 9927, 2079, 46462, 254, 26558, 12424, 888, 26, 286, 27, 26, 84, 18, 51, 14, 378, 1416, 30534, 27, 1232, 2782, 16, 626, 16, 6817, 4279, 286, 35, 21, 286, 30534, 16, 20, 14, 16, 30534, 8089, 14, 276, 826, 6755, 758, 20, 21, 263, 338, 24230, 188, 4028, 9927, 254, 282, 20, 188, 2643, 9927, 16, 71 ]

[ 1, 642, 15, 6524, 6690, 3027, 5938, 282, 2591, 526, 254, 513, 2504, 254, 21792, 46315, 282, 343, 7985, 1354, 34540, 317, 7190, 282, 6707, 276, 403, 569, 271, 27358, 274, 704, 2328, 188, 15, 7912, 5054, 3261, 282, 5498, 687, 1619, 872, 555, 15, 345, 22212, 21106, 37221, 9884, 254, 7485, 282, 3686, 1521, 3408, 430, 865, 353, 21479, 14752, 272, 274, 1630, 254, 6418, 15, 3901, 11967, 403, 16, 2893, 943, 2758, 282, 4890, 6083, 85, 249, 403, 7681, 2820, 4954, 265, 1756, 4990, 1038, 7906, 1917, 472, 380, 5205, 274, 311, 14, 495, 1869, 799, 17075, 1238, 327, 92, 33551, 282, 13054, 276, 8556, 6135, 989, 254, 1041, 2135, 17058, 18, 16, 624, 85, 282, 248, 441, 9304, 24991, 353, 286, 11177, 16, 1102, 254, 8352, 324, 17058, 9333, 324, 16142, 6567, 3377, 596, 44982, 24235, 2086, 18427, 1963, 380, 668, 13686, 85, 1738, 14, 8608, 380, 282, 274, 286, 282, 14, 3525, 328, 1733, 2244, 5146, 13249, 561, 836, 6266, 410, 4645, 19596, 22371, 42838, 11023, 272, 2705, 414, 6915, 14, 286, 731, 769, 48168, 701, 4818, 21647, 248, 15803, 1153, 39784, 14586, 1089, 12848, 3686, 17188, 5703, 4782, 5495, 688, 961, 1603, 3015, 495, 26343, 5661, 7278, 3265, 5415, 1017, 5690, 286, 743, 15, 282, 43956, 14, 85, 22624, 2628, 2009, 348, 85, 274, 669, 1841, 85, 67, 25674, 580, 328, 274, 14, 14597, 40314, 14, 1022, 37572, 4589, 841, 254, 5511, 9844, 16, 286, 3182, 7077, 286, 743, 286, 23315, 510, 3487, 12096, 14, 272, 14, 314, 3797, 8247, 6707, 14, 16527, 462, 1916, 274, 5267, 380, 457, 16, 14, 345, 4360, 19076, 254, 5205, 42838, 37676, 17067, 555, 772, 16466, 3280, 1074, 16, 327, 27161, 286, 314, 274, 14, 2244, 2958, 16, 2667, 452, 0, 1033, 2133, 2127, 802, 11812, 6106, 248, 327, 16, 254, 324, 9304, 14, 1143, 343, 282, 1673, 286, 2218, 555, 38418, 286, 6191, 27145, 274, 274, 37570, 1219, 11, 14, 254, 248, 282, 3015, 587, 324, 3265, 274, 295, 4727, 15, 269, 5920, 7593, 2023, 16466, 2982, 3887, 3437, 4317, 670, 2225, 14, 248, 14, 568, 248, 14, 2244, 4438, 14, 1526, 2443, 16, 357, 24388, 942, 12352, 25082, 407, 16, 330, 338, 9898, 3206, 8995, 4136, 358, 9304, 2860, 9029, 355, 286, 520, 14752, 11, 2860, 5495, 311, 14752, 14, 14, 22488, 3686, 3867, 759, 603, 16, 1683, 188, 8117, 249, 8304, 4107, 14696, 13275, 274, 8841, 48168, 2672, 6191, 345, 274, 24, 668, 2147, 16090, 16, 457, 7827, 12352, 769, 330, 3672, 615, 2488, 10228, 349, 1767, 3051, 1648, 2871, 254, 19491, 14, 16, 4126, 6226, 11752, 254, 695, 2028, 27, 8927, 1038, 14235, 14, 273, 1442, 38426, 16, 1853, 15002, 248, 324, 3134, 286, 11, 5139, 17103, 314, 248, 434, 254, 18323, 17883, 3867, 314, 14, 11, 9029, 2675, 3989, 19, 1756, 22624, 18, 1521, 311, 276, 34191, 188, 457, 4041, 16781, 1193, 295, 5802, 695, 3095, 5480, 636, 6601, 274, 282, 14, 668, 18, 319, 6919, 273, 663, 23387, 779, 276, 47217, 9381, 23839, 1051, 456, 328, 44014, 6215, 747, 568, 748, 772, 25876, 282, 311, 9306, 29, 286, 15838, 248, 19078, 407, 666, 1129, 14, 20045, 2218, 16, 11901, 286, 1354, 12096, 15188, 4196, 2024, 20, 314, 407, 14, 15487, 2502, 2572, 9304, 188, 769, 1157, 314, 1181, 11357, 24719, 4, 16726, 16, 14, 254, 286, 282, 254, 2758, 248, 6315, 3532, 6644, 2410, 3686, 3551, 14752, 457, 6646, 254, 286, 345, 1469, 9197, 8998, 21815, 14, 254, 9975, 1004, 286, 5100, 407, 15, 24149, 86, 87, 2244, 2225, 14, 457, 28302, 10435, 274, 403, 254, 17103, 286, 757, 18527, 1482, 1852, 2936, 37768, 37570, 254, 7623, 276, 2104, 338, 2572, 16, 434, 1569, 44, 26577, 286, 673, 20087, 327, 33551, 16, 73, 906, 2974, 19157, 457, 8087, 596, 311, 11001, 282, 476, 3157, 12927, 10263, 5205, 248, 16160, 4321, 5498, 274, 8115, 520, 747, 4389, 14, 2572, 11103, 1895, 14, 1593, 309, 10022, 353, 5798, 1116, 643, 403, 8943, 345, 3446, 14, 2349, 615, 2424, 286, 12321, 9898, 3591, 2820, 403, 23696, 19491, 32071, 7276, 530, 452, 3656, 1350, 748, 254, 19491, 769, 8346, 330, 28, 327, 2549, 368, 343, 434, 32804, 11570, 19454, 14, 327, 11, 274, 2041, 276, 403, 16, 16, 14, 390, 729, 286, 4652, 1738, 254, 286, 14, 4347, 321, 16, 374, 432, 1743, 274, 1733, 16, 2712, 615, 16, 346, 18, 1297, 4282, 16, 1464, 282, 944, 2411, 286, 398, 10888, 10968, 830, 961, 666, 750, 188, 16, 16, 7913, 944, 254, 16, 14335, 14, 683, 14666, 286, 2370, 20, 18, 286, 11927, 666, 8952, 274, 449, 666, 46315, 867, 576, 5146, 3135, 330, 343, 272, 14, 4570, 1191, 24991, 771, 3021, 14, 435, 4025, 22794, 21792, 5293, 374, 3510, 3280, 14, 945, 274, 26119, 457, 254, 18, 16, 18371, 16, 188, 615, 16, 14, 343, 1125, 561, 836, 16, 21727, 16919, 28003, 286, 343, 15, 4525, 35, 9304, 10435, 286, 286, 1564, 2244, 20486, 15838, 956, 286, 16, 1017, 17806, 44802, 188, 1997, 3690, 327, 272, 390, 769, 20348, 19575, 4270, 1096, 1028, 286, 254, 561, 6667, 390, 14, 274, 14, 3084, 282, 17321, 27477, 3420, 1708, 283, 587, 22809, 15128, 1201, 42664, 348, 1521, 679, 248, 1683, 1130, 555, 1241, 4282, 16, 9282, 769, 276, 48140, 17, 798, 8969, 306, 13091, 286, 9884, 42101, 16, 10289, 248, 248, 9256, 345, 448, 785, 2706, 328, 3260, 555, 4566, 26873, 281, 74, 3437, 76, 3931, 37940, 2157, 16, 274, 974, 324, 2049, 3108, 7623, 561, 272, 457, 254, 36035, 286, 4310, 1193, 836, 25013, 16, 6667, 282, 8352, 2861, 8166, 343, 274, 41784, 16, 1223, 961, 1205, 3277, 7330, 6015, 34477, 2028, 13432, 16947, 945, 510, 34113, 8061, 343, 11538, 34191, 43485, 10435, 282, 274, 5044, 23564, 22, 16, 11291, 17701, 188, 273, 14, 14752, 286, 374, 570, 14486, 417, 5598, 14, 276, 2133, 441, 636, 3928, 1799, 17040, 1354, 18160, 11, 21792, 633, 15372, 254, 3260, 16221, 380, 1303, 22426, 5498, 2660, 8168, 4569, 2497, 2225, 25138, 22443, 3277, 5920, 713, 6499, 324, 440, 19363, 368, 286, 29334, 324, 668, 276, 15, 3364, 763, 2767, 36035, 7278, 625, 33551, 272, 18, 597, 8244, 963, 276, 872, 1390, 2225, 713, 5708 ]

[ 1, 8920, 16, 16, 276, 16, 254, 747, 254, 276, 380, 18678, 276, 1408, 772, 9001, 286, 2824, 43, 1726, 387, 282, 1635, 1354, 434, 2889, 1652, 1130, 3936, 254, 9630, 436, 276, 16, 2950, 7308, 328, 4254, 2156, 10334, 593, 254, 14, 624, 1438, 624, 188, 282, 403, 248, 15155, 368, 2875, 633, 417, 324, 46123, 6324, 286, 933, 248, 2342, 328, 2692, 16, 348, 11243, 273, 14, 670, 34651, 4356, 2706, 687, 403, 0, 2103, 248, 1903, 1181, 327, 745, 2379, 254, 1438, 3541, 2961, 67, 2893, 1982, 24358, 16, 642, 286, 248, 618, 532, 476, 669, 188, 959, 387, 7308, 626, 3983, 248, 1460, 6982, 282, 1830, 360, 16, 16, 4139, 390, 4525, 573, 888, 14, 8950, 1294, 328, 369, 286, 25, 605, 248, 1838, 5353, 561, 12506, 188, 5333, 2819, 16, 286, 13608, 254, 7460, 13755, 13819, 254, 382, 2110, 16, 46647, 254, 476, 282, 1149, 7308, 20, 4128, 1438, 282, 188, 16, 729, 2006, 6776, 596, 14, 272, 496, 7221, 8195, 479, 748, 625, 751, 1663, 188, 188, 22029, 18, 3198, 310, 1594, 3056, 3418, 282, 1906, 328, 14, 282, 1336, 2889, 254, 587, 665, 747, 353, 16, 11513, 4244, 7543, 282, 3915, 2367, 532, 13583, 12912, 327, 311, 23, 403, 22745, 2819, 324, 625, 2350, 276, 254, 1577, 2732, 479, 254, 1063, 624, 2003, 282, 3238, 31654, 18, 1041, 324, 2194, 282, 16, 16, 587, 888, 1382, 729, 4434, 476, 18, 10690, 254, 387, 1330, 2802, 254, 512, 1294, 2780, 731, 16, 19, 839, 0, 2350, 369, 555, 282, 324, 254, 282, 432, 1062, 7984, 273, 6029, 1141, 1438, 16, 4892, 254, 85, 274, 1012, 2169, 683, 369, 663, 6936, 1689, 286, 4875, 18, 665, 254, 23331, 668, 31654, 663, 417, 3236, 276, 2367, 2055, 308, 310, 7793, 2835, 1110, 835, 899, 520, 14, 5348, 16, 497, 1130, 3061, 14654, 2144, 16, 4817, 432, 14, 11243, 276, 650, 7093, 17259, 650, 889, 310, 41431, 1294, 282, 282, 811, 310, 18265, 387, 274, 1503, 1336, 248, 625, 624, 2014, 360, 18, 9024, 254, 1683, 1193, 31654, 16955, 2292, 4285, 16, 811, 1841, 785, 3732, 650, 668, 4244, 2028, 695, 369, 2874, 14, 16576, 3979, 6503, 360, 2072, 1129, 624, 441, 2008, 3901, 6121, 328, 1919, 1250, 434, 2575, 22, 310, 24451, 3083, 18, 282, 282, 4503, 34409, 17151, 772, 369, 254, 6503, 16, 10031, 27788, 254, 286, 254, 254, 387, 5478, 434, 14, 3432, 5246, 457, 373, 31654, 2780, 248, 785, 1142, 282, 16440, 16, 5213, 618, 650, 624, 417, 20696, 16, 1824, 21152, 248, 248, 14, 39072, 5833, 272, 16, 7919, 3936, 188, 1919, 7078, 15, 8418, 10803, 748, 33, 390, 16955, 6503, 310, 398, 27, 2350, 520, 21, 282, 32280, 785, 1052, 6503, 6932, 369, 276, 254, 310, 353, 254, 497, 4112, 360, 4688, 826, 4315, 254, 1330, 286, 46123, 7308, 15, 4244, 16, 254, 603, 188, 1464, 626, 390, 2196, 8266, 772, 3901, 14, 1074, 311, 533, 286, 5414, 380, 593, 605, 1260, 14, 16, 31654, 282, 593, 7308, 751, 330, 9654, 16, 1872, 345, 452, 20504, 9903, 14, 15669, 254, 18, 43, 254, 819, 1385, 254, 6503, 4590, 254, 1851, 2133, 2117, 254, 1268, 311, 3428, 2802, 1853, 188, 374, 785, 7644, 2520, 327, 1938, 497, 2430, 23380, 1794, 380, 434, 31654, 14974, 532, 1125, 286, 9121, 742, 22, 25, 27475, 3014, 254, 1330, 848, 18, 254, 7830, 254, 188, 561, 16, 1815, 663, 3248, 35, 434, 2950, 5574, 13905, 417, 872, 432, 731, 748, 369, 321, 16, 31654, 4190, 16955, 254, 12809, 532, 775, 8679, 12912, 46123, 2072, 188, 188, 1623, 3223, 19203, 1129, 14, 254, 254, 3074, 5114, 913, 16, 353, 254, 4434, 563, 14, 14, 7308, 369, 6503, 321, 16, 7308, 25538, 18876, 327, 311, 254, 581, 254, 282, 254, 270, 369, 327, 324, 35877, 7258, 286, 4634, 3074, 14, 274, 775, 38266, 1354, 286, 775, 282, 282, 1062, 4850, 390, 6268, 324, 310, 2292, 687, 4244, 4863, 29458, 14, 4525, 14, 452, 5210, 476, 520, 3759, 889, 7096, 3328, 16, 441, 977, 2306, 479, 432, 248, 254, 22616, 23, 33, 3979, 763, 286, 434, 27, 8356, 18914, 497, 4465, 434, 1982, 248, 328, 3983, 254, 7150, 286, 254, 254, 254, 254, 4139, 6503, 41174, 581, 618, 43, 1286, 2006, 20696, 327, 26, 13291, 348, 353, 282, 16, 4244, 247, 314, 282, 1862, 188, 452, 14, 276, 46123, 5246, 0, 2393, 328, 423, 38997, 4448, 16, 327, 1663, 687, 254, 641, 16, 12912, 436, 12809, 16, 1547, 9747, 3826, 1125, 6418, 2484, 276, 2292, 282, 671, 286, 5333, 14, 254, 18914, 6776, 254, 1157, 4457, 1247, 625, 2006, 21189, 274, 17675, 888, 310, 1294, 742, 532, 314, 2448, 21, 1242, 763, 272, 248, 369, 593, 3198, 8123, 2365, 2306, 451, 643, 650, 254, 642, 327, 1205, 31654, 16, 46123, 3061, 2992, 254, 31654, 16, 742, 1499, 4434, 254, 18, 1564, 811, 348, 4607, 43, 254, 1143, 476, 1542, 7308, 282, 4801, 3936, 254, 1450, 286, 254, 7528, 1856, 2263, 324, 2350, 573, 390, 18, 345, 32681, 9123, 254, 274, 13819, 286, 747, 434, 3418, 4341, 248, 282, 282, 14, 23, 248, 310, 1781, 21, 1460, 1899, 254, 432, 6503, 1268, 1012, 888, 14, 6972, 20687, 670, 16, 360, 532, 441, 18599, 4434, 1450, 16, 31654, 321, 31654, 1856, 324, 2028, 21, 7078, 1865, 310, 254, 16, 520, 16, 963, 324, 16, 1444, 248, 20955, 16, 2432, 1269, 390, 5742, 8389, 387, 390, 811, 7290, 248, 5311, 282, 650, 17453, 11911, 5113, 1181, 2115, 807, 310, 2072, 1628, 1309, 16, 348, 10780, 1788, 7914, 254, 2709, 254, 513, 327, 888, 513, 807, 811, 19, 286, 5396, 7308, 23, 626, 3038, 9001, 369, 869, 282, 1130, 2286, 16, 2292, 751, 20, 4335, 16, 14, 14, 7308, 16, 687, 1495, 3520, 327, 282, 624, 765, 14, 369, 2367, 343, 1336, 6054, 254, 2075, 1495, 20504, 310, 1996, 641, 14, 20, 353, 593, 3256, 264, 282, 310, 12180, 14, 254, 7096, 2292, 6503, 254, 747, 747, 328, 360, 311, 20815, 1336, 1149, 974, 282, 368, 963, 343, 520, 836, 353, 8223, 4686, 944, 278, 254, 282, 24, 14, 695, 92, 3575, 497, 188, 750, 274, 327, 286, 3470, 25955, 16, 254, 286, 8101, 1042, 2484, 597 ]

[ 1, 41924, 2646, 7124, 353, 27, 625, 20, 11805, 26343, 14, 254, 688, 39143, 1318, 282, 3736, 1328, 643, 254, 295, 17299, 14, 5615, 16044, 36539, 1011, 802, 1339, 6240, 839, 436, 2217, 21, 347, 2362, 43552, 276, 665, 4832, 5066, 2121, 7077, 18127, 804, 3845, 338, 10359, 11771, 6750, 8465, 1610, 5053, 16, 1141, 1525, 16, 16, 740, 20632, 16, 14, 280, 286, 21767, 449, 286, 15, 345, 859, 14, 188, 2101, 17, 749, 368, 248, 665, 9494, 633, 254, 374, 254, 11322, 374, 9658, 5041, 4750, 749, 297, 447, 1826, 282, 1034, 16, 282, 272, 311, 4813, 785, 5521, 18127, 31774, 1057, 23497, 532, 327, 348, 6010, 962, 731, 13585, 476, 3933, 476, 763, 274, 1582, 11771, 407, 452, 254, 14, 912, 5330, 20, 338, 618, 14, 18, 28, 286, 2013, 26749, 16, 8670, 19, 248, 3159, 944, 327, 348, 41407, 26, 476, 327, 1334, 11947, 14, 2141, 13457, 311, 668, 16, 16, 11100, 1063, 5445, 327, 374, 3922, 3684, 9342, 276, 286, 3407, 347, 16, 2537, 48072, 1444, 16, 2109, 343, 9494, 2628, 942, 11100, 1525, 1525, 310, 286, 43552, 374, 324, 587, 11, 1842, 5838, 324, 10724, 248, 14, 615, 2009, 10, 310, 348, 254, 276, 2653, 310, 14, 369, 16, 390, 16, 276, 1514, 254, 188, 26891, 11805, 188, 2367, 294, 286, 3177, 3282, 11, 512, 263, 417, 1348, 1707, 436, 321, 0, 282, 32413, 4, 8112, 19020, 727, 802, 1525, 447, 12768, 282, 1114, 347, 254, 276, 944, 9017, 2731, 314, 369, 4028, 26749, 3093, 42523, 274, 4502, 14, 314, 254, 5445, 188, 596, 14, 324, 28657, 3157, 14, 1068, 258, 4373, 3673, 1851, 347, 254, 324, 24465, 29425, 2660, 15, 4, 16, 43, 20, 387, 327, 18, 3954, 386, 2255, 14, 417, 3335, 274, 13457, 32509, 36060, 248, 476, 254, 452, 2114, 29781, 3462, 43, 520, 657, 272, 16, 324, 1130, 248, 254, 1336, 912, 369, 314, 14, 0, 3308, 476, 4611, 2696, 31127, 310, 8069, 286, 3093, 274, 1268, 81, 20324, 10711, 16, 4513, 1470, 17307, 5405, 4002, 772, 310, 314, 14, 4611, 26, 347, 6422, 8325, 14, 286, 286, 580, 11805, 39627, 587, 15, 11, 17, 14, 11, 254, 18770, 1364, 254, 86, 188, 251, 311, 20, 311, 1309, 10071, 3177, 282, 282, 3239, 3093, 1263, 1817, 2263, 5805, 403, 944, 311, 4360, 900, 452, 311, 16, 43552, 555, 4848, 81, 24233, 3407, 34592, 2666, 20, 272, 347, 4010, 1997, 188, 4221, 10, 311, 1873, 16, 282, 447, 2028, 14, 3248, 2728, 282, 39627, 30701, 520, 14066, 1348, 529, 11805, 4687, 11404, 276, 254, 7161, 417, 407, 188, 652, 348, 12007, 748, 5713, 14, 310, 9929, 286, 286, 642, 4117, 434, 4013, 44084, 311, 2360, 1625, 14, 254, 417, 14, 4659, 1250, 3489, 23, 3852, 26, 27206, 248, 476, 3517, 32509, 727, 0, 314, 3093, 20, 4585, 573, 7551, 254, 248, 407, 310, 1928, 1988, 407, 18, 274, 3525, 16159, 1619, 248, 20, 11100, 254, 188, 750, 286, 3407, 311, 14, 17, 3148, 432, 8725, 14, 15272, 11565, 11805, 11805, 3006, 7274, 31671, 276, 282, 286, 9582, 44312, 3732, 407, 479, 282, 2624, 513, 8598, 5053, 390, 53, 1847, 345, 3502, 16, 380, 17036, 328, 1663, 338, 671, 958, 4, 16, 8386, 11565, 650, 10292, 311, 452, 772, 188, 14, 2016, 248, 512, 16, 328, 20, 7639, 43, 44187, 28656, 1063, 573, 357, 327, 4423, 22, 43552, 4452, 387, 836, 2485, 7465, 15, 10, 2006, 14, 1837, 633, 6185, 3248, 14, 282, 327, 14, 23968, 274, 39627, 188, 520, 625, 311, 248, 272, 9057, 254, 3183, 14, 324, 1464, 247, 3840, 1350, 327, 274, 28315, 81, 3407, 311, 3462, 1625, 21868, 3683, 4270, 2016, 2601, 28, 11947, 2255, 4, 3713, 1153, 1755, 2622, 3758, 1232, 496, 900, 311, 960, 650, 14, 8619, 274, 274, 274, 452, 274, 434, 386, 327, 311, 347, 286, 311, 4, 254, 16, 16, 835, 274, 434, 2135, 254, 1707, 1318, 20049, 11, 254, 4205, 2436, 670, 633, 382, 417, 343, 4, 254, 1691, 324, 9071, 282, 286, 11990, 2963, 7274, 1143, 368, 380, 3520, 8340, 669, 1045, 274, 14066, 23968, 22, 580, 19, 6343, 248, 12936, 1827, 1041, 2286, 286, 5861, 254, 16, 254, 11338, 22, 4285, 272, 1318, 1336, 347, 476, 23431, 14546, 5042, 43618, 9317, 1949, 1427, 16, 314, 532, 254, 801, 14, 16, 436, 407, 1649, 872, 26618, 14, 27, 274, 1090, 343, 254, 4959, 32509, 44925, 16, 276, 282, 368, 353, 20484, 476, 43552, 3157, 248, 436, 16, 3093, 19988, 25318, 6636, 1585, 4349, 3157, 15372, 264, 532, 321, 740, 5243, 327, 188, 37130, 25751, 510, 35, 7561, 27811, 2142, 4615, 1625, 14281, 481, 933, 10781, 311, 4585, 16, 248, 14, 1454, 25751, 6140, 2056, 9806, 807, 593, 729, 18, 286, 1090, 14, 16, 1364, 343, 7869, 2114, 188, 476, 14, 274, 274, 8459, 4349, 701, 4013, 580, 310, 249, 1141, 14, 491, 274, 650, 16, 4184, 4466, 15845, 26618, 20538, 665, 347, 729, 407, 434, 520, 403, 6140, 491, 16, 801, 4744, 1026, 16, 254, 395, 248, 188, 3407, 1527, 512, 7889, 1316, 22, 274, 254, 1045, 43, 276, 16, 19, 16, 14, 3605, 4653, 28, 11115, 587, 276, 32274, 254, 27325, 33656, 328, 4203, 633, 997, 434, 274, 14, 248, 4709, 7561, 16, 276, 9988, 432, 24909, 338, 254, 188, 276, 248, 22, 1041, 1842, 1130, 18, 683, 25751, 1640, 4313, 276, 3148, 282, 16, 593, 1110, 6568, 7274, 327, 12219, 618, 841, 2893, 665, 1076, 4, 21611, 274, 33, 248, 432, 14, 16, 14, 11118, 7406, 2211, 1026, 12768, 36902, 374, 282, 3333, 597, 819, 343, 17200, 327, 347, 21646, 3606, 7274, 28, 19, 43552, 520, 841, 13868, 254, 41120, 4811, 16, 13847, 481, 3798, 1034, 282, 343, 286, 476, 18, 33372, 19934, 2298, 14, 740, 0, 5805, 1153, 14, 27494, 248, 417, 3291, 39627, 282, 254, 3177, 254, 16, 2819, 1157, 274, 2531, 314, 1296, 16, 282, 254, 327, 6750, 343, 2666, 16, 2237, 328, 347, 1982, 1922, 11, 15, 1062, 14, 36060, 276, 280, 14, 2211, 254, 1703, 1610, 16, 12668, 310, 328, 1364, 254, 1181, 328, 16, 481, 286, 11947, 32509, 2371, 4774, 14674, 3615, 6975, 14066, 701, 16, 254, 254, 21, 16, 375, 16, 254, 27, 321, 616, 282 ]

[ 1, 331, 2104, 12217, 527, 15013, 28482, 17, 931, 15108, 15392, 331, 6528, 19017, 27, 40780, 28, 2317, 555, 286, 286, 85, 188, 286, 665, 3532, 264, 41544, 2976, 2714, 16, 14, 5740, 286, 4603, 18094, 2374, 509, 286, 1430, 390, 188, 14, 254, 9991, 580, 4481, 254, 14, 27095, 8386, 7462, 276, 4848, 29330, 286, 5687, 286, 7180, 1779, 14, 2231, 10968, 8112, 939, 276, 6000, 188, 188, 819, 188, 48161, 29479, 10192, 2634, 282, 274, 21858, 3316, 510, 5495, 11879, 254, 321, 5098, 624, 24, 7413, 248, 15012, 587, 14, 2449, 286, 16, 254, 14, 11276, 671, 10, 7559, 11387, 12587, 2367, 407, 14, 7724, 286, 1460, 276, 11780, 254, 387, 15410, 282, 16, 338, 2057, 613, 785, 188, 3672, 9595, 4475, 15786, 248, 46638, 2059, 343, 14, 6583, 1830, 324, 10808, 286, 274, 286, 6813, 14, 16, 282, 15, 14, 1205, 6981, 669, 4481, 286, 2992, 6326, 286, 282, 561, 18, 311, 19974, 348, 473, 254, 1991, 12603, 3532, 587, 282, 274, 1083, 254, 254, 13725, 254, 1090, 4980, 898, 2365, 15548, 23527, 14, 2671, 16, 1065, 254, 380, 613, 12989, 2231, 1793, 309, 282, 2218, 282, 2200, 9865, 14036, 1133, 2159, 28482, 26134, 774, 37241, 10864, 14621, 5023, 830, 2976, 1830, 417, 3587, 274, 348, 7843, 872, 1487, 188, 944, 286, 10007, 11323, 8247, 4653, 1904, 274, 5687, 321, 85, 3551, 14, 14, 14, 263, 2992, 7149, 785, 2662, 21594, 695, 11982, 26, 328, 324, 819, 2976, 6326, 254, 16, 321, 1779, 282, 348, 15393, 1874, 390, 4987, 5168, 2079, 8927, 4003, 380, 33813, 282, 2591, 1339, 321, 27294, 5098, 5360, 22088, 2104, 3768, 2374, 6645, 286, 286, 628, 679, 274, 274, 188, 1444, 374, 46416, 5569, 311, 1339, 16, 20014, 4369, 16, 2790, 3954, 254, 274, 1033, 32187, 4536, 4282, 5805, 343, 2712, 360, 4360, 2992, 321, 9517, 2135, 6305, 510, 2942, 20728, 869, 1991, 12956, 6211, 343, 254, 14, 14, 390, 276, 407, 248, 1830, 286, 641, 11346, 7149, 347, 286, 254, 4864, 597, 311, 457, 5168, 5537, 343, 512, 7269, 390, 14, 3089, 1034, 14, 18, 1333, 3015, 4619, 14619, 274, 254, 282, 7109, 12467, 56, 254, 16, 27592, 4653, 2941, 2165, 633, 745, 274, 16, 434, 9865, 6004, 23167, 369, 85, 3364, 3532, 3860, 13923, 19, 7051, 272, 8386, 13694, 286, 663, 6068, 5077, 286, 5668, 338, 254, 3944, 311, 510, 2893, 2435, 2231, 21041, 1999, 274, 311, 282, 2374, 254, 512, 5098, 28984, 2482, 286, 390, 26, 18, 8715, 512, 3567, 695, 7478, 580, 12586, 18442, 248, 272, 2992, 8979, 449, 695, 7172, 14, 2231, 39319, 16, 10132, 8386, 188, 441, 188, 532, 633, 7639, 2231, 2362, 33677, 2218, 16, 4829, 11521, 324, 343, 2093, 5105, 368, 12676, 12586, 432, 16, 2992, 2371, 2705, 20794, 665, 2628, 14, 6161, 14, 8075, 670, 4481, 327, 2231, 4481, 9258, 4235, 20362, 390, 286, 274, 1114, 14729, 2093, 254, 1648, 9055, 11030, 16, 311, 7268, 390, 1619, 188, 311, 16, 16, 1963, 32035, 5098, 16, 39080, 13104, 2949, 331, 671, 580, 12587, 272, 1047, 328, 14, 29362, 11416, 24417, 14, 14, 4282, 10280, 3462, 14, 324, 10126, 3135, 2413, 321, 31848, 368, 311, 324, 15388, 758, 3290, 188, 819, 188, 14, 11387, 407, 321, 286, 14, 16, 4317, 5346, 10602, 2525, 8386, 282, 274, 839, 28482, 282, 254, 188, 872, 15786, 286, 6363, 2150, 10995, 286, 30802, 1460, 4010, 16, 10399, 16, 5098, 3762, 669, 390, 2779, 14, 263, 390, 286, 254, 14, 2317, 1648, 19269, 403, 3533, 7180, 254, 3838, 33317, 18642, 28645, 274, 4481, 643, 26808, 353, 188, 750, 7109, 306, 314, 2992, 16, 16, 16, 16, 282, 8725, 5123, 2851, 286, 188, 11, 4987, 2080, 5553, 889, 328, 5495, 889, 276, 327, 16, 4400, 16, 889, 16, 390, 15336, 14, 2231, 1738, 7406, 20253, 2231, 3835, 14, 14, 188, 4584, 343, 1755, 254, 286, 6000, 321, 387, 16, 16, 286, 282, 640, 28, 2992, 2033, 19594, 321, 2489, 14, 12586, 331, 282, 11434, 13908, 2371, 286, 16, 27188, 188, 354, 457, 24931, 6906, 22070, 14, 1675, 188, 331, 615, 12255, 1738, 40, 286, 16, 25, 274, 0, 13547, 13400, 286, 3446, 286, 328, 40737, 282, 593, 889, 321, 324, 48145, 274, 29330, 7530, 15, 282, 0, 25, 3860, 1460, 1931, 961, 13663, 4683, 1339, 20, 665, 6211, 11263, 274, 2779, 10995, 254, 254, 4848, 2371, 254, 311, 188, 286, 3989, 276, 4481, 27, 2041, 14, 4653, 1013, 2756, 476, 13197, 5083, 23104, 4848, 417, 4750, 10126, 28482, 848, 35709, 2408, 248, 274, 16, 41365, 286, 18, 12768, 9604, 18642, 14619, 282, 282, 2976, 640, 20, 949, 774, 9220, 24213, 423, 14, 26416, 188, 274, 603, 3598, 4817, 15, 423, 324, 16, 331, 4010, 1804, 3532, 2303, 3817, 6326, 7180, 7787, 613, 343, 188, 20362, 640, 2271, 390, 695, 6214, 2705, 3605, 496, 360, 254, 286, 30937, 14153, 28217, 2525, 7269, 5146, 2507, 3856, 407, 1068, 14, 16, 286, 272, 5098, 8453, 264, 282, 343, 2507, 14, 476, 43723, 5819, 28482, 286, 13130, 655, 16, 16, 272, 248, 254, 1093, 19199, 387, 4022, 1830, 6013, 20, 3901, 3642, 890, 348, 554, 1360, 188, 14459, 274, 10835, 26, 11793, 5751, 665, 343, 324, 21233, 254, 16, 10835, 4282, 27979, 286, 276, 457, 27294, 274, 7180, 883, 4923, 272, 2218, 4273, 2614, 457, 24160, 390, 265, 254, 274, 30613, 0, 403, 16, 286, 4214, 665, 1339, 15598, 4580, 85, 254, 13521, 5098, 1633, 403, 2133, 2992, 18, 593, 254, 0, 826, 587, 5438, 6894, 309, 282, 321, 343, 743, 254, 16, 3335, 633, 276, 731, 2169, 1675, 512, 11214, 324, 286, 6326, 5459, 20, 670, 613, 31644, 286, 327, 22521, 18119, 282, 14, 671, 23097, 4850, 15, 2035, 1336, 4024, 390, 7269, 23458, 3371, 390, 27592, 25935, 27188, 17842, 13142, 18, 7560, 6000, 403, 2252, 16, 248, 14, 3397, 9364, 12209, 274, 15598, 16, 4351, 14, 327, 188, 4605, 348, 25, 28482, 32030, 3642, 286, 836, 343, 2023, 5098, 2271, 7172, 276, 16, 16, 274, 274, 1525, 10968, 14388, 8117, 23943, 254, 16, 22699, 15, 436, 37, 331, 248, 6000, 274, 276, 27, 442, 14, 276, 1285, 2231, 12599, 35709, 12816, 398, 2942, 286, 10700, 14, 343, 11879, 18451, 2347, 10198, 2705, 7109, 286, 4987, 24, 324, 25 ]

[ 1, 8909, 2880, 1262, 21257, 11317, 63, 1554, 2855, 603, 38254, 10263, 276, 28023, 2236, 5141, 647, 22324, 11, 324, 477, 14, 426, 65, 239, 1076, 16, 465, 16, 4963, 1827, 791, 18, 647, 4522, 751, 426, 2192, 3226, 1827, 10, 2192, 2360, 956, 7888, 63, 647, 1180, 3226, 6498, 61, 188, 926, 399, 8721, 2236, 4522, 21469, 6799, 65, 1827, 20010, 324, 38887, 44946, 575, 2192, 5489, 17, 2621, 12629, 1827, 10, 1196, 3226, 8909, 188, 603, 21257, 1142, 426, 1855, 15, 1262, 3052, 13855, 188, 426, 10, 22191, 15, 16380, 2192, 18988, 3226, 5813, 22324, 1827, 188, 3226, 550, 1358, 1465, 2167, 246, 18988, 1262, 21257, 804, 10327, 1076, 28, 16, 1262, 2192, 5912, 22191, 10, 65, 7954, 477, 1262, 16, 270, 65, 5141, 3933, 72, 21257, 7348, 804, 11768, 9436, 255, 20272, 188, 10, 324, 8897, 214, 647, 1076, 95, 4522, 65, 2788, 11, 1294, 3226, 1510, 3226, 16, 2012, 16, 16, 45098, 19814, 767, 8897, 16, 16, 647, 28, 7888, 336, 2498, 2012, 24051, 11, 22191, 18988, 1827, 11, 3226, 647, 324, 7888, 927, 426, 926, 1262, 41552, 1713, 11836, 17, 784, 2192, 276, 2192, 784, 10, 1554, 3226, 2192, 10643, 11317, 7888, 65, 1827, 1262, 342, 1076, 4338, 65, 188, 3434, 1076, 4522, 550, 27902, 41552, 213, 1827, 2788, 255, 1003, 14, 6799, 348, 1784, 65, 14661, 12573, 20010, 11, 3226, 1320, 4623, 2386, 2167, 188, 426, 276, 324, 1554, 647, 2224, 4623, 33488, 44946, 10, 20, 10, 65, 647, 188, 1465, 276, 1146, 926, 347, 7888, 311, 262, 1827, 477, 417, 1465, 1076, 477, 11, 22191, 2498, 3434, 426, 1262, 804, 12798, 804, 2012, 2781, 2012, 647, 2498, 3578, 39772, 20010, 39417, 477, 2012, 3226, 72, 2192, 2137, 19, 22324, 477, 8897, 1262, 6055, 477, 10, 1246, 2781, 9321, 6498, 1146, 1003, 12573, 21257, 65, 784, 550, 188, 2192, 927, 1784, 426, 16619, 791, 1554, 543, 10, 1827, 188, 1713, 804, 33526, 684, 647, 4156, 11, 5141, 9436, 784, 1554, 647, 1351, 1210, 6892, 7348, 8037, 2236, 1827, 4623, 647, 1713, 804, 25178, 5912, 26491, 4993, 6498, 2192, 382, 7910, 477, 24339, 804, 4623, 28023, 804, 11033, 253, 7663, 17, 27902, 2192, 18238, 28, 2880, 3457, 12629, 5078, 16, 4338, 10, 65, 3933, 2192, 5064, 2192, 23730, 16216, 926, 1952, 1003, 3457, 2012, 3226, 1076, 95, 16663, 9321, 8376, 15193, 3226, 784, 2781, 1390, 5314, 8897, 246, 477, 1827, 1196, 10, 4522, 16, 1369, 14, 4963, 210, 28, 8414, 1076, 12573, 1262, 1465, 336, 12629, 12629, 41661, 188, 27120, 4963, 1827, 784, 784, 603, 40369, 550, 1465, 16, 16, 270, 16364, 22191, 1827, 9436, 210, 1554, 12460, 550, 426, 1827, 188, 16, 269, 784, 2137, 8414, 14, 10, 647, 1952, 5141, 10, 477, 22383, 5896, 2192, 14, 65, 477, 1076, 65, 10327, 65, 647, 2386, 1465, 3226, 2855, 647, 1076, 27902, 426, 804, 647, 16, 3434, 16, 509, 3457, 1003, 784, 6799, 2621, 65, 12573, 16445, 20010, 784, 188, 17, 8897, 791, 18988, 465, 647, 10, 927, 8414, 477, 2855, 276, 647, 2236, 8897, 65, 22191, 14046, 188, 1262, 382, 477, 477, 4993, 188, 65, 825, 1827, 38800, 65, 28, 804, 6576, 8897, 1076, 477, 4608, 1554, 1146, 1827, 20310, 4338, 22191, 348, 16, 791, 10263, 3357, 188, 2498, 10, 956, 1465, 28, 1827, 16, 65, 311, 18, 1076, 19, 3226, 2167, 477, 3578, 65, 1076, 17, 509, 8897, 1196, 1210, 1196, 1262, 784, 3226, 784, 78, 2012, 270, 1827, 1076, 7910, 804, 1554, 1246, 11033, 11, 1003, 11569, 534, 14, 16216, 286, 2788, 14, 276, 10889, 61, 39417, 10, 2012, 3578, 14, 2012, 926, 1369, 10, 65, 28, 7888, 804, 276, 188, 14, 2137, 575, 2012, 16, 1262, 550, 1196, 65, 1827, 382, 2167, 16380, 2192, 24237, 2240, 804, 1465, 684, 12573, 3226, 7309, 1262, 4436, 10, 2192, 1827, 3226, 10529, 1262, 6161, 24237, 1142, 39417, 45098, 3226, 1262, 26491, 14, 8897, 22191, 41661, 804, 6498, 3226, 1827, 10, 3578, 20010, 13729, 12573, 10643, 16, 603, 188, 12899, 426, 1784, 11317, 684, 3291, 1784, 10327, 10, 477, 477, 1262, 1358, 11, 16, 926, 1358, 2192, 12460, 324, 1554, 684, 2137, 629, 432, 804, 1210, 426, 647, 2112, 926, 90, 4623, 426, 7888, 1465, 33488, 20310, 14661, 262, 10, 11970, 342, 1952, 14046, 210, 2012, 1369, 270, 825, 1784, 2621, 8037, 28, 2112, 269, 72, 1465, 13855, 1246, 6576, 1510, 3578, 28023, 10, 6576, 3226, 5314, 1827, 14, 647, 14226, 3226, 10, 16, 14, 28, 65, 65, 647, 4522, 2781, 1358, 647, 16, 19, 10527, 2012, 10, 4522, 77, 2855, 7954, 11569, 1507, 65, 647, 4623, 6161, 3434, 16, 1196, 3226, 1827, 16, 16, 11, 11317, 426, 24339, 426, 65, 8897, 28, 647, 534, 33488, 2498, 1067, 95, 36182, 65, 2012, 255, 1827, 1827, 477, 2192, 1076, 3226, 1196, 40369, 44565, 7568, 4145, 3291, 188, 1827, 65, 8897, 1076, 350, 1554, 240, 188, 477, 269, 1358, 41552, 31416, 14, 10527, 11569, 2788, 7954, 39772, 926, 647, 16663, 210, 2498, 65, 3226, 672, 4145, 477, 767, 477, 16, 65, 42844, 4993, 10, 1146, 1827, 6576, 2520, 188, 44145, 3578, 65, 37742, 6576, 39772, 0, 7888, 12899, 426, 2192, 44565, 65, 426, 5813, 2137, 2360, 1196, 10, 2137, 2520, 15, 1262, 215, 1713, 2192, 45098, 1465, 2855, 1294, 11768, 1196, 1003, 20010, 210, 1827, 3578, 4993, 426, 1262, 8897, 926, 4156, 16, 8414, 784, 5141, 4436, 1465, 1554, 1076, 3325, 2192, 3578, 44946, 2192, 15323, 95, 647, 647, 24339, 2880, 804, 5912, 65, 2137, 1262, 465, 3226, 16, 399, 2192, 188, 4993, 647, 10, 23730, 95, 14439, 477, 72, 28, 14, 11317, 1003, 10, 10, 10, 432, 8037, 426, 11, 65, 1510, 3357, 2360, 477, 2788, 10, 1827, 2167, 20010, 10, 804, 784, 477, 17, 16, 12629, 1827, 18368, 1076, 7888, 1196, 4993, 347, 10, 534, 44565, 276, 926, 1465, 1262, 1076, 1146, 1465, 1196, 1784, 20010, 188, 1196, 647, 1196, 65, 1262, 16, 1713, 65, 1554, 240, 5141, 8897, 3291, 18442, 65, 11, 20010, 3291, 10529, 3226, 1827, 8376, 10, 14, 13604, 684, 926, 29971, 16380, 2192, 647, 1713, 65, 188, 65, 6799, 24051, 751, 603, 2386, 36085, 324, 11569, 65, 1554, 6048, 45098, 1003, 3357, 3578, 14, 16, 684, 1465, 16, 647, 20010, 246, 3226, 784, 23730, 804 ]

[ 1, 14, 802, 1755, 1499, 603, 18, 4003, 2758, 27, 254, 6106, 248, 248, 18, 276, 3203, 16, 324, 1928, 23, 607, 756, 276, 729, 3972, 31992, 13066, 6231, 785, 274, 4813, 2489, 33417, 1952, 1362, 10, 16, 16, 276, 1062, 6253, 276, 615, 13221, 370, 603, 248, 668, 274, 513, 8995, 1268, 248, 862, 16, 6106, 19949, 640, 248, 513, 276, 1408, 668, 370, 16, 510, 16, 626, 2674, 17089, 19701, 434, 774, 1143, 33, 18, 5758, 353, 16, 4936, 16, 311, 2514, 43, 2328, 321, 2328, 596, 476, 3498, 1395, 8753, 18, 650, 476, 8753, 387, 596, 311, 13643, 4813, 13643, 370, 368, 43189, 15581, 1547, 9575, 434, 274, 24, 398, 14, 274, 20, 10417, 7354, 683, 650, 8612, 19, 14, 401, 27091, 3227, 1223, 5851, 731, 1563, 1838, 434, 20, 311, 274, 16151, 282, 1125, 345, 1362, 276, 1223, 439, 1093, 802, 324, 22, 1354, 276, 14, 2016, 8920, 668, 13643, 368, 811, 398, 16, 14, 719, 14, 16, 5145, 274, 321, 14, 1051, 22, 321, 8753, 1924, 2065, 495, 370, 2328, 4, 751, 321, 23, 370, 2728, 254, 282, 974, 650, 4813, 532, 274, 20, 6106, 368, 576, 481, 327, 274, 19, 248, 276, 1575, 2504, 327, 21, 5758, 648, 563, 699, 20, 513, 6253, 14, 5758, 20, 18, 603, 650, 370, 248, 4617, 14, 4931, 452, 6253, 276, 348, 2016, 272, 327, 24, 21, 14, 3191, 254, 2942, 188, 2187, 476, 18, 276, 436, 2065, 4426, 2631, 23, 25, 282, 274, 14, 282, 345, 401, 272, 18, 3048, 3602, 2982, 14478, 16, 6010, 282, 9787, 2042, 286, 254, 2055, 19, 403, 513, 248, 321, 596, 6656, 495, 641, 254, 3498, 1110, 4813, 347, 18, 10054, 12599, 369, 282, 6106, 370, 403, 802, 4465, 4168, 327, 581, 16, 16, 25, 33417, 3051, 802, 248, 286, 648, 33, 16, 347, 439, 370, 18, 248, 1583, 1438, 422, 3432, 254, 272, 276, 17, 16, 282, 370, 4813, 7732, 14, 18, 4813, 387, 1838, 14, 668, 14, 368, 668, 16, 6578, 248, 15, 14, 282, 12510, 807, 1982, 1180, 2980, 1045, 596, 16, 188, 3686, 16, 2876, 16, 1057, 2360, 3144, 12343, 1041, 324, 13221, 3316, 16, 439, 327, 9787, 271, 311, 390, 369, 2042, 15581, 13221, 370, 650, 593, 3979, 2141, 13718, 14, 16630, 1408, 1180, 276, 1268, 785, 311, 2169, 625, 272, 1594, 18767, 370, 14, 1782, 1931, 276, 668, 3997, 587, 10417, 1464, 276, 374, 91, 272, 1362, 282, 2016, 272, 2501, 248, 1928, 2499, 1045, 1924, 14, 6106, 19, 18, 16, 603, 18, 977, 1503, 683, 8753, 18, 248, 248, 802, 615, 748, 276, 507, 311, 616, 520, 14197, 348, 1656, 4987, 88, 802, 13221, 254, 17, 1362, 16, 273, 3470, 248, 748, 1547, 286, 10991, 321, 13, 633, 4936, 25, 8856, 1041, 18, 20, 13643, 1181, 27, 742, 2732, 4003, 14478, 16, 16, 370, 2065, 3788, 33423, 434, 1963, 13221, 15785, 282, 286, 12599, 650, 324, 15845, 27, 18, 286, 626, 14478, 254, 324, 6578, 276, 14629, 14, 5758, 368, 370, 20, 6921, 3198, 13643, 16, 310, 254, 811, 370, 11562, 36141, 16, 3278, 14, 607, 8688, 345, 1838, 3278, 862, 1057, 18, 16, 16709, 327, 555, 16, 2630, 16, 1427, 19, 254, 4387, 254, 254, 1928, 14, 286, 10160, 650, 4987, 1038, 417, 580, 942, 4349, 4813, 23, 683, 13066, 6141, 5475, 2008, 274, 3191, 603, 188, 321, 2728, 345, 20, 254, 22, 286, 1722, 16, 276, 597, 2674, 625, 13066, 274, 18, 4987, 321, 14, 380, 21663, 18, 282, 1051, 23, 22, 16, 272, 6901, 16, 248, 5145, 370, 16, 33271, 274, 18, 18, 276, 1928, 14, 650, 22, 276, 1362, 276, 4090, 324, 15847, 1286, 21401, 452, 276, 590, 4813, 274, 3971, 25, 20, 16, 188, 19, 625, 311, 731, 26987, 14197, 20, 327, 311, 663, 21, 1041, 1976, 248, 14, 15, 615, 14, 650, 330, 625, 248, 731, 327, 6253, 2545, 6010, 11562, 1268, 2152, 25, 3227, 22, 10417, 272, 8753, 16, 273, 16, 370, 625, 24, 1838, 370, 374, 648, 22, 2328, 248, 10054, 2731, 24, 10203, 3972, 19, 19, 248, 23, 19949, 345, 2701, 1441, 2211, 15581, 16, 345, 26987, 10417, 343, 276, 14, 16, 274, 1002, 398, 8611, 18, 403, 16, 348, 311, 188, 321, 683, 35539, 3212, 785, 368, 26, 353, 2942, 276, 324, 370, 6100, 370, 8688, 18, 19, 273, 282, 4987, 713, 18, 668, 248, 282, 452, 985, 338, 276, 6106, 496, 23, 4987, 27046, 607, 4269, 276, 254, 590, 1012, 1002, 254, 14, 22, 327, 862, 747, 23, 22096, 188, 311, 370, 13221, 668, 16151, 14, 650, 16, 18, 24, 14, 401, 8753, 248, 370, 6106, 495, 248, 1928, 2042, 872, 1427, 286, 20288, 254, 9696, 756, 576, 4, 593, 439, 248, 353, 3256, 321, 417, 16, 4188, 20, 14, 282, 439, 370, 188, 14, 19, 1268, 1503, 321, 272, 370, 24, 311, 311, 4936, 14, 18, 14, 276, 607, 286, 276, 8202, 46581, 9787, 713, 6253, 33417, 6231, 77, 1143, 23, 3686, 21, 650, 1722, 13643, 1223, 16, 282, 6611, 188, 276, 2342, 5655, 16, 248, 311, 6106, 25, 2527, 27, 961, 14, 2774, 282, 811, 22, 282, 321, 625, 2008, 311, 16151, 401, 18, 23, 343, 668, 2501, 374, 18, 944, 7, 276, 18, 276, 7180, 3191, 748, 4936, 10417, 14, 7180, 390, 254, 19, 19, 2016, 23, 740, 248, 4813, 248, 1286, 16, 248, 512, 272, 16, 18, 555, 26987, 18, 18, 343, 274, 23, 327, 6106, 324, 624, 16, 15813, 14, 254, 321, 2103, 1963, 370, 272, 16, 19, 31992, 254, 811, 18, 248, 4813, 807, 23, 34772, 18, 248, 2016, 7957, 688, 5147, 353, 348, 370, 248, 1062, 22, 1309, 596, 18, 16872, 2430, 282, 272, 14, 254, 23, 6898, 4954, 254, 1583, 347, 370, 286, 807, 23, 9138, 272, 248, 2330, 347, 3061, 811, 254, 16, 248, 2328, 311, 4090, 353, 14, 2086, 20, 311, 2075, 248, 8753, 36141, 380, 27, 21401, 668, 650, 13066, 2328, 2545, 408, 370, 276, 597, 8753, 16, 14, 4188, 311, 370, 3972, 7957, 16, 12599, 15163, 785, 3686, 16, 18, 16, 1408, 16, 9421, 188, 21, 14, 1649, 21663, 650, 1362, 338, 1286, 20389, 1051, 15785, 27, 16, 668, 27, 2942, 282, 1336, 16151, 254 ]

[ 1, 327, 374, 16, 12032, 3979, 254, 15065, 9260, 348, 3134, 14, 587, 2784, 457, 1093, 403, 14, 1259, 3294, 2049, 756, 1851, 3941, 254, 7345, 19606, 188, 380, 1402, 10842, 295, 311, 533, 348, 274, 403, 1906, 45095, 286, 282, 1738, 3894, 85, 2142, 343, 286, 11845, 4543, 3265, 276, 4279, 476, 328, 1648, 1738, 374, 14, 1767, 24, 642, 14, 587, 2151, 86, 286, 348, 3054, 6093, 327, 188, 276, 10036, 7664, 3906, 14, 596, 9, 3225, 1480, 3217, 286, 387, 626, 353, 1738, 5655, 14, 1949, 321, 276, 3032, 374, 1002, 16, 188, 452, 555, 9112, 254, 282, 4645, 321, 7935, 10127, 16, 327, 254, 7996, 1143, 1091, 7317, 6786, 274, 1041, 641, 2019, 403, 33, 254, 343, 563, 254, 18, 14, 835, 513, 688, 2759, 20460, 3134, 1090, 2501, 248, 286, 48188, 188, 3351, 188, 6004, 353, 6083, 2411, 348, 19, 14, 19, 669, 23, 5048, 403, 14, 188, 324, 668, 3351, 2142, 286, 2006, 7935, 8823, 819, 11247, 1354, 729, 14763, 40775, 1649, 2714, 592, 7363, 1268, 7468, 1056, 1924, 1129, 16, 6117, 276, 14, 324, 729, 942, 457, 188, 14, 1263, 330, 13864, 286, 626, 1738, 476, 587, 254, 1521, 915, 282, 286, 452, 1063, 16, 86, 14, 452, 452, 1640, 2153, 597, 6083, 321, 314, 31145, 13672, 188, 18, 24, 834, 14249, 328, 11, 20, 374, 3134, 188, 2391, 5485, 286, 324, 457, 14, 1125, 254, 3134, 311, 626, 44381, 14, 5485, 4652, 4214, 282, 27899, 348, 1090, 1205, 282, 248, 16, 5521, 282, 26429, 7719, 254, 1738, 1583, 1738, 324, 888, 6093, 254, 18, 2497, 2071, 6296, 282, 6083, 1091, 282, 38588, 1091, 3941, 942, 282, 282, 2156, 593, 14, 942, 3134, 9353, 1093, 282, 324, 1480, 14, 19506, 3134, 7935, 380, 282, 587, 2367, 6936, 643, 23110, 10127, 2715, 324, 7148, 592, 1738, 1360, 254, 662, 5709, 34557, 14, 385, 374, 327, 6083, 1091, 286, 6083, 254, 2049, 1125, 3062, 615, 3134, 282, 282, 24780, 254, 20289, 16, 254, 580, 274, 188, 282, 19038, 593, 1708, 2925, 624, 14, 16, 695, 28528, 8826, 1041, 12101, 1091, 0, 1789, 663, 1339, 1843, 1738, 254, 1824, 684, 14152, 403, 597, 16, 390, 14059, 1181, 2714, 626, 7583, 11527, 44643, 3860, 252, 18, 14, 274, 6320, 2102, 2765, 254, 1738, 643, 19, 5521, 8886, 16, 512, 18, 1162, 2722, 801, 16, 343, 668, 1543, 1181, 33231, 40775, 2148, 3134, 14, 254, 314, 596, 2152, 327, 8865, 188, 3112, 16, 2120, 85, 18823, 8256, 286, 348, 6083, 9505, 286, 457, 3004, 7317, 10821, 324, 1091, 18094, 1026, 22579, 3134, 2967, 2497, 587, 932, 274, 16, 343, 6083, 37, 1269, 643, 1563, 310, 324, 963, 327, 13085, 533, 807, 3571, 942, 324, 1091, 4076, 12254, 2755, 328, 20, 311, 4433, 274, 2151, 254, 1091, 9619, 254, 343, 1091, 248, 6083, 16, 29449, 343, 1205, 1129, 23, 3367, 248, 1480, 747, 327, 254, 555, 327, 3397, 1738, 1738, 6083, 327, 14, 16, 4076, 254, 3790, 1091, 4563, 807, 3134, 14, 353, 1336, 2254, 615, 248, 25402, 343, 3509, 2499, 1583, 747, 515, 274, 867, 1062, 671, 3367, 1402, 603, 14, 2520, 1615, 802, 3134, 1863, 774, 5962, 279, 3004, 18, 13306, 13515, 12101, 457, 959, 274, 286, 1125, 324, 555, 4532, 14, 3134, 38510, 311, 23, 41686, 11384, 276, 328, 286, 1091, 254, 324, 4090, 436, 282, 4028, 3427, 391, 16, 9021, 1269, 510, 1851, 19, 353, 85, 532, 6601, 6113, 286, 457, 547, 1093, 311, 273, 1091, 1594, 36778, 615, 3547, 18, 403, 944, 254, 452, 512, 19359, 17487, 286, 663, 1635, 14, 1996, 254, 417, 327, 597, 18, 2961, 2497, 6083, 16, 16, 188, 403, 2964, 476, 16, 1125, 6083, 10846, 624, 1090, 3906, 254, 1057, 2328, 436, 10636, 626, 743, 314, 561, 4962, 19, 6083, 248, 14, 31477, 2427, 6684, 1544, 3134, 282, 668, 14, 254, 16, 7583, 555, 615, 276, 343, 587, 31477, 8809, 274, 16, 1738, 254, 469, 1738, 10801, 12310, 596, 286, 561, 276, 282, 3206, 16, 3435, 81, 328, 3778, 743, 254, 14, 16, 2780, 8063, 282, 665, 2086, 188, 3134, 14, 3452, 254, 324, 1733, 587, 4364, 1090, 254, 276, 390, 1837, 9556, 348, 41447, 942, 276, 407, 403, 395, 11845, 11, 6083, 6004, 2692, 321, 14, 13753, 48188, 16, 5962, 2961, 11035, 274, 1057, 37084, 324, 2320, 1181, 403, 2468, 324, 274, 15, 2474, 2824, 47704, 9928, 274, 7530, 2427, 1738, 2086, 254, 11314, 1360, 23, 12622, 8111, 18, 1090, 327, 3906, 671, 286, 390, 8141, 282, 432, 19, 86, 3260, 1024, 16, 2055, 5884, 4308, 276, 14, 48, 4699, 5447, 457, 6083, 942, 12396, 10257, 889, 587, 1843, 16751, 3432, 188, 520, 695, 254, 650, 14, 16, 436, 24780, 2501, 276, 3134, 16234, 282, 1269, 1125, 16, 282, 2497, 6168, 311, 34170, 254, 12101, 387, 1093, 254, 11845, 343, 18, 615, 1922, 643, 286, 254, 513, 819, 434, 360, 687, 374, 1056, 2025, 6083, 8802, 748, 86, 596, 1130, 24, 1676, 321, 2019, 14, 1143, 997, 2546, 1664, 452, 2038, 1180, 587, 14, 276, 669, 4226, 348, 1223, 36431, 6113, 452, 5123, 7943, 276, 16, 6117, 7977, 555, 1247, 374, 8141, 3134, 324, 1125, 16, 432, 819, 802, 1972, 254, 3979, 3906, 324, 13909, 321, 6083, 5518, 2427, 3134, 662, 1689, 254, 14, 2515, 593, 3867, 4315, 942, 457, 19, 262, 311, 286, 29851, 3134, 1738, 4328, 3202, 19, 1738, 1245, 854, 597, 1364, 16780, 14, 11951, 811, 16, 3780, 729, 3811, 17598, 4090, 282, 24780, 457, 663, 274, 16, 15895, 328, 3265, 254, 353, 282, 1129, 343, 390, 4671, 8025, 327, 7155, 254, 1663, 359, 188, 2537, 272, 1051, 254, 343, 276, 374, 452, 2135, 33339, 8141, 643, 14, 502, 5521, 360, 1385, 6617, 3134, 1953, 25189, 254, 1223, 748, 353, 624, 457, 14733, 2218, 353, 10021, 282, 497, 343, 596, 18, 563, 6093, 4076, 510, 1738, 6083, 311, 1091, 2063, 33, 5475, 835, 282, 311, 8126, 3860, 1851, 1091, 6008, 1091, 327, 14, 4634, 643, 3405, 37, 2038, 403, 1241, 915, 14, 1017, 3997, 1110, 368, 28672, 2525, 1218, 3979, 343, 1738, 9409, 1964, 11, 532, 3134, 11845, 9409, 3265, 587, 19, 282, 7828, 5537, 86, 8141, 282, 274, 1091, 8141, 650, 276, 17161, 47380, 282, 14, 16, 14541 ]

[ 1, 2674, 248, 683, 18, 353, 532, 310, 441, 310, 25, 2317, 4792, 353, 751, 1213, 2626, 369, 254, 826, 2056, 7383, 6357, 17144, 282, 14, 687, 314, 747, 4419, 1181, 5884, 282, 1848, 1096, 368, 369, 368, 3879, 44880, 729, 731, 20398, 14, 274, 12561, 369, 5439, 12928, 561, 4114, 274, 14, 18, 398, 254, 974, 580, 748, 17507, 14, 18, 774, 188, 1464, 836, 44880, 8728, 5279, 188, 286, 38829, 17921, 30040, 276, 593, 6928, 274, 254, 1923, 348, 0, 2835, 369, 1037, 188, 1412, 6192, 520, 248, 5330, 7061, 3879, 310, 310, 22624, 324, 18164, 8550, 23910, 670, 2512, 573, 254, 16, 10581, 274, 1708, 282, 532, 9757, 5493, 8861, 452, 38948, 1125, 2120, 1368, 282, 10903, 310, 398, 14, 282, 263, 642, 1144, 276, 282, 254, 286, 434, 3155, 843, 330, 532, 1862, 1364, 10723, 274, 14, 16, 14, 3240, 398, 345, 54, 324, 786, 16, 369, 1574, 8071, 274, 2912, 310, 321, 286, 1499, 16, 310, 496, 12848, 820, 3782, 327, 324, 581, 4061, 1755, 2378, 18600, 763, 4525, 750, 254, 368, 977, 10903, 274, 254, 354, 3732, 274, 1530, 4142, 369, 663, 353, 15, 254, 286, 3843, 888, 9887, 1899, 2967, 10903, 11943, 47540, 369, 282, 16, 276, 668, 14, 5363, 286, 16, 17517, 18523, 625, 274, 311, 15362, 597, 865, 18, 276, 68, 16, 276, 328, 1920, 274, 248, 1864, 248, 5330, 11990, 286, 4326, 16, 327, 22, 1480, 729, 34921, 347, 188, 30772, 327, 615, 3686, 1874, 668, 276, 17949, 650, 2543, 520, 11733, 251, 476, 40021, 3802, 5607, 8375, 1845, 1661, 4316, 3629, 14, 1379, 9819, 12534, 327, 9104, 2835, 1476, 35, 1755, 6192, 20703, 282, 248, 3470, 18, 23012, 3853, 615, 6796, 1024, 286, 1628, 46709, 1080, 254, 4558, 327, 274, 311, 188, 2746, 254, 254, 532, 254, 625, 1842, 14, 274, 1897, 10316, 2257, 1141, 749, 20498, 274, 23330, 310, 35820, 6928, 749, 314, 28, 369, 580, 16, 398, 324, 40385, 428, 16, 4688, 14414, 848, 68, 272, 311, 3637, 10457, 1116, 188, 2263, 520, 45076, 16, 10739, 3647, 650, 15, 3686, 23893, 7634, 16, 254, 387, 387, 14223, 520, 1328, 14, 479, 665, 328, 6928, 441, 33, 1081, 1838, 319, 11733, 8550, 38836, 276, 593, 1157, 25814, 38836, 310, 1309, 16, 369, 811, 3759, 254, 1218, 17865, 2371, 348, 2956, 16, 369, 248, 32435, 1431, 348, 596, 343, 20498, 603, 274, 248, 286, 520, 775, 775, 16, 345, 2828, 38948, 6928, 310, 276, 1842, 1652, 353, 276, 38935, 1093, 16, 520, 68, 286, 368, 14, 1427, 248, 3579, 7675, 1515, 750, 353, 16, 3637, 750, 14, 369, 3400, 16, 18525, 2875, 403, 15, 248, 274, 14, 14, 188, 327, 18273, 434, 16, 4163, 286, 2539, 1963, 20087, 310, 10903, 763, 16068, 27087, 16, 254, 9764, 1190, 775, 721, 16, 625, 369, 254, 5883, 353, 7141, 3629, 310, 305, 7434, 944, 19, 4087, 4682, 1423, 3470, 5061, 1782, 1652, 1416, 282, 731, 369, 2211, 5435, 327, 687, 387, 369, 820, 939, 248, 248, 16, 569, 481, 44880, 733, 16, 6796, 251, 15520, 4087, 254, 254, 1193, 282, 11943, 495, 16, 3532, 38836, 24775, 580, 668, 282, 22835, 1324, 314, 756, 1952, 7671, 1963, 369, 3997, 16, 286, 826, 353, 4576, 8728, 512, 403, 311, 286, 3532, 310, 338, 28951, 10903, 407, 3442, 282, 324, 343, 323, 1382, 274, 387, 9157, 353, 9994, 282, 1193, 188, 15, 286, 12928, 1848, 248, 1952, 618, 852, 3655, 12464, 3843, 520, 305, 4528, 2056, 91, 353, 248, 48, 10903, 6796, 2046, 5330, 3239, 310, 942, 16, 11733, 27, 310, 434, 555, 54, 15, 324, 5380, 11685, 15617, 286, 2391, 3396, 687, 939, 15256, 11943, 276, 13053, 3426, 1708, 12464, 369, 4713, 811, 6898, 274, 16, 353, 495, 1041, 6750, 775, 1259, 520, 343, 7234, 834, 310, 615, 19, 91, 10286, 14, 254, 9548, 625, 2523, 16, 16, 1640, 750, 520, 11733, 274, 820, 1382, 16, 286, 44880, 374, 18273, 1247, 327, 2536, 31721, 327, 324, 314, 1304, 14, 286, 625, 328, 353, 10849, 5533, 7642, 353, 2823, 750, 1480, 286, 16, 14, 188, 14827, 348, 5983, 45119, 398, 254, 16, 625, 274, 16068, 286, 520, 13034, 1041, 2843, 369, 35229, 615, 610, 625, 520, 17921, 286, 9306, 3487, 14, 21764, 324, 2943, 36555, 1093, 282, 441, 20802, 403, 27, 16, 15810, 20, 625, 510, 14, 5529, 1157, 188, 14, 254, 248, 16297, 580, 624, 387, 17921, 15168, 328, 310, 14714, 1623, 1897, 14, 942, 86, 1770, 11733, 3616, 3, 3802, 497, 1862, 188, 512, 695, 41696, 1952, 248, 1364, 248, 188, 16, 403, 26215, 3637, 34506, 16, 46806, 16, 248, 12991, 20498, 2818, 1701, 32435, 369, 2556, 14, 5431, 248, 44880, 10778, 520, 2683, 44880, 11943, 330, 1090, 481, 750, 1668, 7383, 434, 2304, 839, 16, 18, 1038, 924, 7504, 807, 274, 24, 1848, 775, 286, 510, 5330, 668, 282, 942, 775, 3663, 1193, 3854, 513, 9325, 14, 688, 254, 188, 2956, 286, 380, 310, 11291, 3751, 7155, 20192, 836, 4606, 266, 6438, 286, 254, 2169, 10840, 254, 2819, 338, 3997, 272, 520, 512, 4387, 25, 2654, 8550, 91, 14, 580, 4596, 43, 248, 286, 607, 276, 10157, 40570, 248, 1848, 1245, 21, 683, 15678, 573, 749, 650, 14, 8550, 16, 1838, 327, 13687, 16, 11733, 30194, 14, 23910, 607, 16, 563, 254, 360, 512, 1848, 18417, 254, 520, 20964, 3101, 5182, 9325, 6112, 16, 4875, 434, 3737, 16, 12148, 1116, 54, 16, 1845, 1141, 2936, 16, 282, 3206, 663, 327, 289, 345, 1838, 1708, 510, 807, 5256, 360, 447, 670, 4893, 354, 248, 7280, 3989, 14, 254, 360, 19, 5374, 1289, 14, 4099, 2836, 563, 274, 750, 310, 273, 2144, 2151, 2052, 449, 1268, 688, 1515, 311, 13992, 5846, 276, 2868, 1318, 310, 13500, 286, 10739, 687, 1141, 5883, 811, 668, 15, 16, 775, 7383, 328, 16, 327, 1603, 254, 310, 826, 274, 763, 2057, 343, 23691, 387, 14, 330, 14, 1438, 306, 15, 286, 2117, 687, 369, 11017, 17431, 671, 1391, 14, 31572, 2523, 689, 21543, 369, 16, 4075, 248, 188, 4746, 8861, 5594, 532, 6010, 16, 254, 11943, 286, 11291, 555, 374, 11, 345, 286, 14, 10903, 353, 2556, 972, 14506, 11943, 16, 3101, 449, 31721, 11439, 497, 274, 282, 1242, 24579, 24061, 310 ]

[ 1, 368, 2391, 42357, 3191, 22251, 749, 91, 30213, 8708, 31557, 2072, 282, 937, 13388, 328, 10834, 712, 360, 743, 3571, 367, 3648, 10846, 394, 1903, 457, 12506, 1619, 14273, 327, 888, 35243, 254, 82, 668, 23, 512, 2006, 403, 4239, 368, 956, 254, 16, 751, 4590, 407, 286, 254, 5053, 31543, 826, 282, 2102, 742, 2683, 5146, 1241, 1985, 46208, 327, 671, 956, 633, 16, 872, 25271, 17842, 5107, 398, 2263, 324, 7949, 512, 360, 1767, 188, 949, 1275, 436, 14, 387, 11815, 3680, 23643, 5232, 6741, 254, 669, 5044, 5256, 374, 605, 2896, 282, 188, 254, 17246, 348, 2945, 643, 629, 254, 17331, 6982, 14, 38894, 254, 188, 772, 37856, 4910, 1495, 1394, 328, 311, 286, 274, 387, 19, 274, 338, 1590, 24456, 5098, 1481, 338, 712, 286, 432, 2288, 719, 457, 742, 9787, 1250, 5882, 403, 3835, 16, 633, 265, 254, 254, 3894, 254, 31543, 2014, 3692, 40734, 1205, 76, 248, 4184, 353, 387, 1499, 286, 11921, 27754, 12951, 276, 16324, 254, 4727, 188, 282, 286, 3818, 18358, 6741, 520, 286, 3648, 4950, 521, 2023, 1864, 248, 24109, 15404, 403, 10149, 311, 6507, 669, 3648, 4117, 432, 3692, 286, 4184, 1481, 801, 2943, 276, 855, 327, 1309, 715, 3223, 9709, 13054, 19, 3629, 31557, 286, 274, 512, 1822, 520, 435, 785, 282, 383, 85, 1481, 274, 915, 2654, 580, 5351, 1678, 5123, 2722, 330, 1172, 670, 1350, 29820, 486, 17842, 1394, 254, 188, 1923, 254, 286, 5501, 32833, 286, 3418, 4656, 2187, 188, 4873, 9903, 3622, 188, 31543, 1516, 663, 432, 282, 14437, 19, 282, 2071, 440, 16, 33999, 4549, 4275, 18, 743, 3316, 276, 457, 18, 276, 4549, 504, 1919, 3648, 254, 13417, 319, 407, 14116, 14, 811, 18, 10886, 497, 16, 338, 510, 819, 533, 20275, 368, 19, 374, 520, 188, 2722, 3894, 248, 5356, 3569, 15747, 14, 14, 286, 3071, 7207, 11023, 670, 16, 16, 5633, 2741, 254, 188, 14180, 16, 15, 15419, 3124, 3571, 16, 3893, 12319, 387, 18788, 4597, 343, 274, 16, 328, 12852, 27, 15, 712, 772, 878, 254, 16, 282, 7186, 561, 1275, 16, 432, 16669, 7014, 4466, 1915, 282, 348, 14, 2413, 309, 8899, 8716, 19, 14, 512, 417, 6250, 12865, 254, 1262, 368, 282, 22251, 16326, 811, 282, 712, 12168, 6995, 510, 327, 14, 32972, 248, 2464, 836, 624, 6939, 597, 5356, 16, 3648, 4731, 476, 1275, 9353, 751, 457, 286, 3762, 12546, 327, 457, 633, 9023, 9595, 1628, 4250, 4403, 374, 663, 5156, 1481, 1062, 2245, 18, 13957, 254, 338, 254, 615, 374, 286, 841, 12546, 34951, 3371, 3419, 2104, 4275, 801, 276, 3326, 407, 348, 6761, 7014, 9471, 16816, 14, 19, 297, 4363, 878, 32193, 282, 38894, 2181, 16, 826, 801, 587, 2214, 1668, 1931, 188, 1034, 436, 5232, 31852, 1708, 7014, 9299, 286, 18, 297, 254, 432, 4243, 2830, 1242, 473, 254, 274, 877, 8262, 276, 20521, 1930, 27765, 7261, 4612, 721, 3648, 7014, 8093, 2486, 15, 282, 328, 1843, 1694, 18, 282, 16, 3148, 3294, 46580, 432, 1130, 19636, 1649, 633, 16, 14, 1481, 3461, 1205, 31315, 4474, 248, 254, 869, 587, 14, 33784, 2501, 532, 1862, 3783, 286, 2530, 7186, 9609, 495, 282, 1579, 3648, 20, 338, 267, 1143, 633, 282, 1864, 624, 12546, 16, 286, 4853, 328, 3571, 13089, 7186, 593, 254, 24641, 743, 16, 2926, 272, 3770, 24397, 3831, 254, 2543, 254, 669, 18864, 16, 254, 5356, 2586, 6830, 503, 30774, 24310, 265, 24067, 276, 0, 398, 29648, 839, 267, 19, 1843, 811, 3982, 188, 735, 14625, 274, 12852, 497, 2059, 6815, 9169, 24550, 956, 18, 497, 1242, 4058, 474, 713, 328, 4275, 16, 254, 24641, 4686, 5278, 4186, 8611, 16, 11374, 3509, 1242, 432, 633, 1416, 4727, 1079, 1394, 367, 4584, 6151, 327, 735, 254, 6701, 6832, 3223, 10419, 85, 573, 81, 7410, 10886, 3648, 36533, 615, 286, 21413, 27754, 267, 14, 8453, 1034, 276, 1919, 188, 763, 1931, 2630, 2057, 18358, 3860, 1480, 282, 39902, 6429, 2819, 11610, 9993, 4666, 286, 7127, 188, 188, 24641, 6956, 4117, 14, 7998, 254, 5232, 6499, 4612, 327, 188, 28980, 1130, 369, 5356, 248, 254, 10932, 3830, 18, 26, 663, 16, 1516, 4622, 267, 2102, 843, 14, 2042, 18734, 276, 20, 1594, 763, 14, 367, 6830, 1864, 5299, 16, 11642, 7262, 12565, 274, 282, 85, 16, 2545, 380, 670, 4045, 328, 561, 254, 716, 2408, 2654, 14, 1862, 5846, 3648, 3972, 5232, 4275, 1275, 6103, 367, 5356, 14, 286, 888, 580, 85, 254, 27714, 3720, 328, 457, 10782, 254, 7109, 3781, 16076, 14, 8101, 457, 254, 286, 23, 3327, 1354, 274, 977, 9596, 338, 743, 11019, 2945, 1708, 254, 254, 13343, 4117, 33999, 758, 338, 286, 1756, 324, 387, 4612, 2288, 4239, 811, 15, 5536, 4590, 276, 16545, 1438, 311, 16, 40244, 1919, 274, 254, 12951, 4708, 721, 248, 85, 9703, 4117, 15, 666, 4235, 16, 367, 1275, 18, 14, 457, 282, 20359, 3648, 9596, 367, 398, 274, 398, 2858, 254, 4235, 29936, 1336, 282, 15, 20851, 5044, 495, 395, 248, 276, 368, 16, 9734, 4184, 633, 276, 4117, 1575, 0, 15, 5493, 16326, 46178, 878, 348, 310, 4315, 3312, 7186, 286, 9863, 7846, 282, 377, 670, 254, 16, 1026, 2586, 731, 2501, 22051, 18358, 6901, 6452, 14586, 3223, 3801, 16, 18, 758, 36570, 743, 2115, 16937, 17759, 274, 633, 43645, 282, 367, 12546, 650, 14, 3648, 13957, 26522, 16, 20130, 839, 4117, 436, 15, 596, 254, 580, 248, 254, 23855, 5293, 573, 19, 403, 15, 5089, 188, 670, 248, 274, 713, 14, 3277, 4762, 520, 1683, 4612, 11, 5758, 971, 735, 1477, 20275, 2743, 9487, 18358, 30750, 387, 3580, 343, 18, 12908, 282, 3294, 855, 387, 188, 1063, 324, 688, 2041, 23209, 276, 1275, 28, 5356, 4297, 633, 432, 520, 4208, 671, 363, 248, 248, 248, 801, 20611, 1129, 30774, 286, 7927, 276, 14, 1063, 3972, 474, 32079, 0, 6211, 403, 19817, 573, 41, 254, 38337, 769, 369, 16, 403, 1181, 360, 735, 712, 282, 20130, 719, 12546, 573, 1354, 3364, 4950, 5108, 10084, 888, 3371, 2117, 188, 254, 18, 532, 4590, 15, 14, 2482, 26522, 669, 9756, 7186, 15, 16, 368, 274, 2858, 1362, 6761, 16, 4126, 3894, 254, 436, 15, 369, 28, 21204, 1683, 14, 14, 16, 9811, 2413, 3419, 12587, 975, 2133, 20521 ]

[ 1, 4633, 37026, 15, 407, 1516, 345, 5799, 9484, 11168, 254, 14253, 769, 16, 2731, 311, 1247, 12175, 254, 3134, 2142, 2086, 3, 29166, 432, 5271, 2501, 18461, 1702, 3134, 1623, 741, 2184, 769, 1756, 22223, 1294, 10849, 282, 16, 403, 45773, 16, 1931, 4221, 618, 282, 457, 274, 286, 286, 16, 282, 4062, 11042, 2703, 85, 274, 4003, 24202, 1720, 254, 417, 1218, 417, 457, 1649, 942, 750, 1603, 11690, 7500, 40671, 6143, 2144, 432, 394, 31394, 286, 4932, 282, 35367, 311, 15, 321, 1499, 14, 254, 512, 37764, 86, 311, 12985, 3611, 334, 272, 2193, 31771, 1503, 254, 3709, 642, 85, 615, 345, 3134, 274, 1017, 6400, 596, 274, 210, 395, 15857, 254, 286, 2449, 7417, 14, 43, 315, 1218, 695, 47077, 274, 643, 9917, 14, 1390, 587, 836, 327, 14, 250, 30026, 22509, 3116, 360, 3236, 16, 772, 3, 12333, 13555, 254, 22857, 286, 254, 353, 1499, 274, 70, 16, 343, 274, 286, 254, 26817, 641, 3629, 28943, 9902, 2142, 32153, 1903, 27189, 282, 4126, 3960, 343, 2843, 22120, 13318, 254, 560, 188, 398, 311, 3853, 1111, 666, 942, 15, 436, 587, 33, 188, 1008, 457, 254, 17404, 311, 666, 434, 21883, 401, 2692, 380, 663, 476, 3307, 324, 7754, 532, 14, 687, 1745, 3746, 353, 1789, 9856, 4966, 18171, 14, 14, 11903, 0, 274, 747, 10834, 7919, 3134, 2003, 34326, 6965, 16, 3437, 5166, 441, 4236, 5243, 587, 1863, 15, 729, 555, 457, 457, 22, 1033, 16, 86, 14, 457, 20689, 626, 1081, 286, 254, 333, 25695, 43, 14, 86, 9643, 769, 254, 3177, 4859, 5174, 10094, 360, 4313, 5964, 2843, 3461, 14, 14, 2703, 16, 407, 2921, 254, 345, 3, 1789, 254, 4859, 695, 254, 9901, 14, 11690, 310, 8853, 5243, 4701, 2843, 85, 3506, 3155, 18, 1702, 6787, 457, 14, 6919, 1572, 282, 3896, 248, 276, 423, 2141, 1315, 1845, 7739, 37867, 248, 580, 5485, 16, 2626, 14, 9902, 14, 28, 5416, 328, 5416, 37185, 1926, 669, 274, 254, 17000, 16, 25, 9587, 7693, 3520, 14, 713, 15, 11950, 274, 390, 34943, 1480, 324, 4703, 22189, 19495, 248, 9138, 28505, 254, 341, 33, 327, 417, 286, 18, 1836, 407, 596, 432, 25124, 748, 1315, 16, 353, 785, 368, 79, 21975, 2150, 666, 8232, 457, 41159, 274, 6702, 23975, 452, 254, 457, 2314, 18807, 8033, 310, 321, 17000, 23609, 1218, 2378, 16, 615, 12612, 328, 3802, 3, 4122, 254, 432, 16, 593, 12572, 15, 403, 16, 4245, 24373, 4945, 457, 8563, 248, 1397, 10672, 3506, 4541, 37764, 1789, 14, 380, 514, 615, 14, 282, 10871, 670, 5240, 2843, 324, 532, 286, 4525, 512, 29487, 4609, 1125, 3184, 756, 28943, 533, 254, 1495, 366, 512, 436, 276, 13555, 5278, 7739, 11800, 18, 282, 282, 7034, 368, 9529, 7685, 310, 85, 2314, 452, 3709, 2181, 311, 560, 570, 6363, 14, 942, 561, 328, 254, 4315, 307, 14851, 457, 5708, 432, 248, 212, 6062, 3989, 532, 2271, 9902, 2519, 3860, 348, 616, 282, 2028, 254, 23162, 17000, 663, 16, 436, 587, 374, 8608, 7467, 34326, 19, 11159, 369, 18, 13916, 5886, 27076, 5587, 368, 21625, 380, 8020, 12745, 593, 360, 324, 573, 2023, 3591, 254, 16, 436, 307, 942, 91, 34326, 286, 311, 2515, 596, 18, 38, 769, 39009, 15487, 593, 274, 348, 366, 22052, 407, 26521, 14, 3629, 457, 188, 3, 254, 1143, 2692, 742, 668, 1294, 6137, 29616, 2497, 3506, 188, 596, 14, 512, 1920, 826, 839, 18171, 25, 321, 282, 6690, 327, 254, 2811, 4701, 593, 254, 25588, 15572, 6686, 2142, 20, 33473, 1068, 254, 751, 328, 436, 9430, 3624, 7754, 7731, 1270, 742, 12744, 42118, 14, 1702, 254, 353, 2150, 22939, 818, 1499, 282, 1063, 2486, 666, 3134, 14, 274, 248, 772, 286, 286, 942, 3899, 30870, 276, 1384, 769, 2041, 533, 500, 188, 10849, 668, 16, 2572, 17000, 8089, 16, 282, 8764, 835, 14, 35475, 372, 31818, 9343, 11846, 353, 310, 14, 3051, 1129, 6450, 642, 248, 616, 33, 14, 843, 343, 1789, 1042, 29239, 441, 360, 285, 274, 43, 4501, 436, 286, 3257, 3956, 40671, 618, 3356, 85, 31806, 254, 343, 13382, 32354, 3320, 5416, 32646, 1972, 669, 6668, 1903, 403, 457, 2531, 1480, 729, 14, 374, 1887, 38984, 570, 643, 479, 276, 457, 14, 403, 22504, 387, 15023, 8109, 6296, 1470, 16, 570, 1649, 769, 254, 282, 188, 1926, 0, 9127, 324, 314, 743, 310, 286, 282, 18672, 380, 573, 839, 0, 1756, 2315, 307, 1602, 2532, 4203, 16030, 40583, 311, 14, 282, 3989, 407, 79, 1008, 317, 457, 3506, 2421, 772, 807, 360, 343, 20, 274, 327, 666, 276, 403, 15359, 387, 324, 18171, 3, 188, 2033, 16, 328, 943, 16, 13759, 1926, 2065, 360, 1081, 327, 286, 254, 274, 1247, 573, 324, 14, 769, 311, 2936, 532, 1028, 4318, 380, 3356, 6106, 627, 16, 310, 3, 45978, 16, 650, 79, 2304, 1585, 254, 272, 309, 14, 343, 8808, 10493, 670, 11690, 188, 16, 16, 5146, 4503, 843, 14, 3889, 830, 345, 942, 273, 441, 9584, 2893, 3506, 311, 310, 627, 7618, 16, 8468, 3, 34427, 324, 10770, 813, 380, 4317, 282, 15, 16, 17000, 2704, 587, 457, 6032, 368, 1836, 13166, 729, 616, 30695, 282, 374, 309, 8106, 6450, 282, 91, 188, 254, 5552, 41740, 769, 21716, 618, 254, 268, 274, 328, 14, 401, 1575, 563, 1577, 616, 188, 2626, 1931, 769, 1756, 49, 2703, 757, 11690, 286, 4107, 3134, 368, 1218, 248, 9282, 18, 276, 282, 324, 329, 2006, 310, 311, 26758, 14, 4701, 328, 2790, 570, 666, 85, 4236, 7303, 13351, 1258, 324, 9961, 476, 457, 839, 3257, 731, 29179, 1041, 510, 3074, 695, 1268, 3899, 14959, 3629, 4771, 28, 327, 457, 403, 254, 338, 18439, 3, 43, 5189, 512, 532, 441, 6069, 14, 310, 12148, 4343, 16, 619, 286, 8418, 8300, 407, 552, 1141, 19359, 436, 1577, 311, 2843, 1015, 10852, 627, 7739, 24373, 286, 609, 2350, 33, 13759, 15303, 1691, 1218, 9380, 16, 417, 16, 7731, 4474, 19, 5326, 282, 423, 713, 580, 6107, 1919, 733, 769, 403, 14, 18, 1181, 432, 843, 3518, 3831, 21741, 9654, 1181, 7779, 188, 307, 13166, 276, 34326, 39314, 2257, 310, 85, 32402, 286, 436, 254, 286, 28843, 417, 2003, 17000, 248, 276, 407, 801, 24, 282, 254, 38179, 188, 14, 403, 452 ]

[ 1, 591, 3933, 16, 1827, 65, 16, 281, 8316, 16247, 365, 365, 10, 187, 751, 13707, 69, 65, 7910, 65, 1358, 16, 29625, 1067, 65, 374, 286, 1714, 286, 423, 11, 1262, 16, 339, 4259, 188, 581, 3291, 16, 26, 188, 10000, 1262, 423, 23981, 802, 65, 16, 978, 1827, 8828, 65, 1827, 16916, 374, 417, 1554, 65, 1827, 16, 2012, 986, 1358, 187, 4559, 16, 751, 550, 10244, 37593, 1262, 4639, 592, 751, 684, 187, 684, 65, 3291, 1714, 27726, 1262, 16, 28, 534, 365, 1714, 417, 2668, 1262, 3434, 65, 603, 187, 339, 7910, 187, 37593, 986, 7079, 43384, 20, 2668, 867, 2739, 986, 65, 65, 187, 37593, 16, 187, 65, 6889, 978, 65, 802, 65, 16, 1369, 5499, 1262, 19585, 72, 10, 986, 16, 9, 187, 16689, 187, 72, 1827, 8163, 751, 65, 2823, 365, 17306, 42375, 2395, 10, 13707, 187, 2764, 1262, 10, 9, 1369, 2192, 2668, 16, 65, 14, 16, 784, 65, 95, 986, 347, 1714, 2668, 1510, 187, 1827, 1714, 65, 16916, 16, 3291, 12497, 42375, 4259, 1827, 187, 37593, 426, 301, 426, 6963, 16, 11, 365, 82, 187, 37593, 65, 187, 34126, 3839, 5541, 5310, 365, 95, 3929, 10, 42375, 16, 5734, 2668, 986, 1714, 65, 423, 65, 65, 65, 550, 37593, 751, 14, 65, 4259, 365, 31111, 9840, 16247, 28, 2668, 5541, 18, 188, 281, 187, 1510, 37593, 2012, 8626, 65, 321, 581, 14, 6914, 5805, 13707, 40570, 11, 2823, 5, 18293, 978, 16, 42375, 426, 16, 7910, 1262, 65, 1559, 3933, 10, 986, 37593, 426, 65, 1827, 751, 65, 21719, 534, 924, 339, 286, 6889, 2823, 2192, 978, 16916, 311, 426, 13707, 38931, 1554, 314, 1714, 9030, 14, 276, 784, 187, 31744, 16916, 187, 16, 14, 406, 65, 42375, 5734, 1369, 15738, 2668, 978, 1358, 65, 1067, 3839, 15018, 2573, 187, 784, 8037, 11865, 47536, 16, 7073, 9840, 65, 10, 270, 31, 3933, 365, 34448, 3238, 2012, 365, 188, 187, 19, 4259, 16, 2668, 187, 41353, 16, 978, 1827, 42375, 29625, 426, 365, 65, 187, 339, 34937, 187, 65, 18, 1067, 93, 187, 2855, 14, 187, 390, 2668, 270, 10, 72, 5805, 10, 19, 12088, 10, 2668, 2012, 2788, 1210, 65, 23051, 426, 423, 339, 978, 562, 31744, 2823, 4623, 1262, 7079, 1510, 16, 365, 2573, 187, 365, 187, 187, 2170, 2192, 16, 684, 1358, 187, 751, 17306, 2573, 9840, 65, 27682, 2192, 17241, 1358, 16, 8163, 1510, 10, 592, 37593, 10877, 65, 2668, 37593, 978, 395, 8064, 31311, 18164, 14, 37593, 47536, 262, 188, 5318, 958, 6914, 281, 37593, 14, 581, 188, 254, 286, 65, 34166, 65, 4559, 426, 16, 18, 2739, 2668, 14, 16, 1714, 187, 4639, 3929, 65, 2668, 34166, 65, 188, 17306, 16, 2668, 65, 17306, 21719, 6963, 37269, 65, 65, 28, 65, 65, 1714, 65, 72, 5310, 37593, 4259, 978, 1554, 29625, 1714, 423, 65, 16, 870, 1714, 477, 5310, 16, 187, 70, 311, 2989, 12166, 9867, 16916, 72, 684, 5310, 42375, 802, 3434, 270, 2788, 3291, 4559, 16, 927, 47, 2788, 65, 2788, 5318, 4623, 16, 339, 65, 2395, 2788, 14105, 34937, 16, 2012, 13863, 65, 1714, 10, 16906, 5318, 65, 2192, 2012, 5734, 187, 16, 8316, 16, 65, 9007, 1559, 16, 3933, 562, 188, 65, 1369, 1210, 543, 684, 95, 3200, 10, 65, 65, 65, 1369, 10409, 65, 978, 2224, 1067, 550, 10787, 10, 1356, 274, 12166, 3933, 2823, 282, 426, 28, 11, 4352, 188, 867, 65, 18, 82, 592, 11, 37593, 2668, 14927, 47147, 2668, 1460, 2573, 986, 38171, 2192, 1262, 801, 65, 14927, 188, 28, 784, 426, 16, 44648, 684, 4259, 2739, 10877, 65, 6505, 365, 3933, 0, 72, 42920, 187, 2668, 978, 10, 365, 26921, 4559, 986, 65, 19, 870, 426, 187, 1067, 28, 1262, 2823, 2360, 1262, 281, 592, 423, 2580, 1160, 10, 6799, 10, 65, 24769, 986, 7115, 4259, 1510, 1358, 270, 16916, 1358, 7771, 12899, 188, 187, 4259, 16, 291, 423, 534, 2668, 65, 2573, 1180, 42920, 95, 82, 5141, 592, 324, 11, 14018, 986, 2823, 1358, 65, 426, 16711, 1067, 47536, 14, 1827, 270, 6426, 15738, 534, 16, 6113, 65, 2012, 187, 42375, 2468, 1827, 390, 986, 187, 4259, 7443, 434, 65, 18, 16, 1714, 986, 4259, 5310, 21719, 37593, 65, 65, 270, 65, 86, 592, 2012, 10, 1827, 2823, 43384, 14927, 15, 423, 16916, 365, 16, 318, 65, 1714, 550, 1358, 270, 187, 270, 4259, 2170, 187, 65, 65, 1369, 1554, 270, 1964, 14, 339, 986, 37593, 16, 2240, 791, 2192, 12702, 16711, 339, 2012, 28, 37593, 16, 390, 1067, 16, 270, 7771, 1714, 270, 1369, 34937, 550, 1827, 426, 1262, 2668, 365, 5734, 915, 1827, 4259, 37593, 5141, 2468, 21787, 14, 365, 42375, 16916, 2395, 14439, 187, 5805, 426, 1827, 4639, 11865, 581, 365, 423, 4259, 5811, 65, 31311, 2668, 14, 274, 34937, 16, 10244, 318, 65, 14, 1827, 65, 339, 986, 6426, 65, 37593, 1714, 426, 16, 14, 4352, 978, 1714, 1067, 1827, 629, 16, 1262, 2823, 34937, 16916, 365, 423, 784, 2012, 65, 5, 5, 20, 14612, 65, 986, 978, 12166, 2012, 2012, 37593, 16, 187, 1817, 591, 4259, 11162, 751, 29625, 42375, 16, 2012, 2573, 270, 8163, 23, 65, 188, 870, 278, 16, 751, 426, 95, 188, 16, 339, 28, 12166, 187, 29625, 65, 65, 187, 187, 10, 2012, 65, 5310, 65, 72, 4259, 47536, 477, 534, 65, 5141, 592, 592, 16, 18723, 534, 16, 187, 11, 16, 986, 2668, 16, 16, 65, 2668, 4259, 2386, 423, 65, 6426, 270, 4259, 2192, 1160, 65, 31744, 3163, 17306, 1262, 16, 417, 1262, 438, 65, 986, 187, 188, 37593, 16, 187, 321, 28, 653, 4259, 10877, 339, 26731, 4259, 1262, 2668, 8866, 65, 6703, 37134, 927, 188, 9840, 2192, 550, 16, 16, 42375, 591, 1076, 423, 1358, 1559, 314, 5141, 3933, 870, 986, 10787, 2573, 311, 2192, 16, 22673, 31744, 2823, 417, 187, 1510, 751, 1262, 751, 3291, 1262, 1042, 14, 37593, 21719, 4259, 2668, 65, 8316, 34777, 318, 1262, 5318, 16, 187, 14, 1510, 2668, 1554, 65, 16916, 401, 629, 16, 1358, 31, 16, 28, 65, 276, 18830, 534, 37593, 16, 1262, 751, 187, 11947, 65, 339, 28, 8357, 324, 65, 918, 65, 187, 48052, 65, 10, 3291, 4356, 10877, 1714, 591, 37593, 65, 65, 2573, 1714 ]

[ 1, 818, 6592, 14, 476, 343, 2156, 16, 807, 713, 22022, 46361, 18130, 1076, 28702, 353, 3267, 28702, 532, 368, 3267, 1612, 16, 580, 254, 278, 9993, 248, 188, 3267, 888, 16, 16, 14, 22136, 5711, 286, 5587, 274, 10077, 32891, 7020, 2755, 1708, 338, 331, 16, 374, 29083, 31952, 3364, 2764, 282, 286, 42941, 6592, 3547, 3267, 279, 6592, 6762, 9748, 15, 3575, 747, 368, 513, 35377, 41011, 248, 328, 286, 10494, 3809, 254, 5527, 321, 14, 254, 343, 12028, 6592, 286, 310, 27453, 7225, 16637, 16, 403, 603, 15082, 476, 328, 276, 248, 16, 2292, 679, 687, 6951, 603, 254, 321, 2056, 18088, 282, 513, 731, 6856, 270, 14, 6002, 3225, 18088, 3783, 608, 512, 311, 188, 274, 618, 13033, 324, 254, 1906, 10800, 9530, 327, 6592, 713, 14, 8272, 10494, 11021, 2838, 390, 12100, 1008, 286, 38691, 282, 26556, 38627, 26745, 7779, 4277, 3837, 278, 282, 7242, 8934, 22022, 807, 324, 47399, 633, 15042, 14, 1002, 1102, 254, 7148, 4282, 274, 310, 254, 1934, 274, 31790, 580, 254, 688, 254, 11842, 1640, 274, 18, 11021, 3673, 26556, 1516, 17981, 374, 1708, 17981, 14, 16, 282, 457, 18127, 353, 368, 804, 248, 254, 2035, 324, 28490, 310, 29083, 15895, 1057, 1578, 1395, 452, 274, 713, 1499, 452, 353, 343, 1041, 18, 310, 353, 532, 573, 16, 248, 3176, 14, 3783, 2499, 2049, 188, 14, 353, 254, 30913, 14, 508, 2314, 16031, 7444, 17555, 2734, 254, 835, 1181, 27325, 274, 2035, 274, 5587, 14114, 512, 4370, 254, 17772, 929, 747, 188, 248, 17941, 16, 248, 16, 14014, 10109, 16, 188, 286, 310, 1012, 343, 1230, 343, 286, 16, 2371, 4370, 633, 254, 6886, 26471, 6592, 1948, 254, 3834, 310, 6592, 5835, 10300, 269, 282, 321, 282, 2541, 11021, 688, 452, 22, 14, 353, 188, 7596, 282, 4682, 6592, 826, 343, 35377, 248, 14, 811, 14, 16, 22, 6522, 14, 670, 27, 3964, 3267, 188, 390, 1906, 650, 13242, 343, 254, 1903, 7242, 16111, 16, 2151, 279, 24004, 3176, 16, 8461, 286, 3050, 14209, 282, 10476, 695, 4682, 248, 23947, 1002, 14, 2522, 282, 282, 403, 593, 6592, 6592, 321, 705, 254, 2035, 4112, 713, 6268, 1623, 4313, 1851, 1603, 2035, 282, 16, 16, 11295, 21661, 282, 286, 599, 2819, 286, 889, 532, 254, 7012, 476, 353, 18, 3082, 248, 4277, 368, 865, 215, 254, 254, 14014, 4611, 580, 17981, 633, 282, 683, 43, 22022, 188, 408, 3267, 286, 2150, 3, 15400, 4948, 367, 274, 26471, 2541, 1395, 274, 1887, 671, 16, 1863, 8272, 5835, 13810, 3425, 248, 6734, 3845, 14, 436, 12028, 14, 1708, 282, 16, 6592, 343, 3290, 390, 17941, 2298, 254, 14, 16, 188, 188, 312, 368, 43, 3364, 248, 21471, 286, 6913, 276, 16, 282, 0, 939, 5919, 33007, 811, 327, 6592, 7011, 254, 23, 2499, 254, 596, 7148, 3056, 452, 3783, 15, 1143, 13810, 1157, 2736, 368, 7012, 731, 254, 1269, 311, 254, 348, 282, 85, 20327, 274, 16, 4122, 4571, 30116, 16, 818, 286, 16, 353, 188, 20327, 310, 380, 12386, 18, 532, 368, 311, 1368, 686, 7444, 580, 311, 2875, 452, 286, 3095, 254, 1041, 17, 248, 7385, 10494, 4013, 12386, 16, 747, 254, 1091, 276, 254, 330, 618, 276, 2819, 633, 3843, 11021, 311, 286, 282, 279, 42729, 36, 1903, 7444, 10493, 254, 4349, 2292, 368, 5532, 688, 1063, 15732, 286, 4220, 447, 12902, 324, 1619, 23991, 5835, 4282, 41650, 343, 16, 1903, 272, 327, 13461, 5194, 26808, 11842, 14, 6592, 310, 254, 1464, 33415, 28927, 314, 282, 17892, 6592, 248, 368, 1579, 16, 5787, 14114, 6592, 20885, 4682, 476, 1773, 286, 408, 7148, 3936, 618, 374, 3575, 688, 7613, 3159, 85, 18, 12815, 4564, 254, 16, 8680, 14, 811, 43320, 16, 835, 3267, 254, 11309, 4277, 10858, 368, 26855, 188, 2552, 30582, 4646, 3267, 286, 436, 7242, 348, 4032, 188, 1708, 286, 16637, 31293, 6453, 6069, 328, 16, 2035, 15, 286, 31239, 11176, 248, 4780, 18072, 248, 274, 6762, 16, 16, 555, 16, 6592, 1081, 626, 28059, 835, 282, 4513, 324, 818, 1111, 286, 3167, 73, 286, 1316, 3267, 36473, 1111, 624, 282, 1934, 14, 11842, 14, 403, 2718, 254, 254, 1623, 3055, 749, 16, 1773, 1906, 10077, 448, 20327, 248, 811, 1093, 8106, 282, 7596, 3267, 5816, 2228, 12581, 3096, 11805, 7444, 1497, 17460, 668, 254, 276, 11021, 3575, 286, 2342, 669, 14859, 1603, 327, 327, 13810, 282, 603, 512, 1497, 4682, 25, 6762, 650, 671, 1181, 10083, 188, 85, 13810, 32955, 3393, 286, 395, 1877, 16, 254, 254, 42828, 586, 4010, 2552, 1863, 248, 671, 1330, 7017, 4476, 248, 5568, 18088, 1062, 278, 10408, 818, 3575, 12514, 8240, 807, 7008, 3191, 1464, 1619, 14, 16, 11842, 46728, 14, 248, 1642, 15, 26, 16, 432, 26719, 14, 688, 274, 2764, 12309, 1516, 4277, 1395, 16, 4432, 869, 343, 310, 20561, 2875, 20, 18432, 85, 11295, 188, 3694, 16, 286, 16, 37463, 343, 1619, 20790, 1074, 282, 248, 4611, 23, 713, 1637, 15, 12264, 16, 42896, 286, 18088, 1831, 16, 20327, 496, 42941, 276, 1746, 688, 6592, 311, 826, 4277, 254, 282, 1497, 8240, 14, 2445, 16, 248, 1143, 6592, 13688, 5934, 963, 0, 948, 408, 1619, 4647, 1041, 639, 603, 343, 4244, 3284, 688, 286, 311, 188, 327, 30187, 2029, 27523, 532, 16, 276, 929, 1604, 13242, 311, 835, 254, 16, 633, 6592, 276, 19, 1999, 324, 26552, 2450, 476, 26471, 1002, 328, 248, 23947, 188, 1931, 1480, 18, 687, 274, 1041, 16, 4962, 248, 364, 343, 14, 274, 274, 274, 6622, 6268, 3267, 328, 1640, 282, 254, 3267, 286, 390, 248, 19, 1603, 286, 14, 6592, 248, 215, 9567, 4475, 603, 12902, 31929, 188, 6214, 748, 14, 248, 20255, 13688, 282, 248, 7250, 85, 37496, 801, 3065, 3709, 4244, 747, 16111, 21471, 286, 7444, 20, 248, 9530, 368, 13242, 23983, 254, 20327, 188, 254, 188, 18470, 818, 1921, 807, 10673, 286, 17, 555, 4282, 6856, 254, 3834, 811, 580, 353, 16, 286, 756, 17941, 328, 9748, 18, 6592, 21548, 278, 276, 13242, 10037, 1863, 713, 27559, 2502, 14, 7444, 11380, 11021, 2558, 7012, 2819, 40, 286, 254, 1863, 14, 33, 282, 3809, 14, 1041, 1934, 573, 3034, 2741, 5787, 8240, 368, 30913, 390, 22681, 900, 3783, 254, 16, 16, 719, 3783, 16, 532 ]

[ 1, 33441, 23352, 944, 254, 5603, 14, 20419, 311, 1397, 0, 254, 961, 16, 21475, 18552, 4644, 9985, 8776, 503, 261, 15296, 353, 254, 252, 274, 272, 348, 3798, 19, 274, 596, 343, 2820, 6640, 961, 254, 16, 1470, 248, 14, 282, 8350, 388, 23626, 20782, 254, 2182, 3324, 20292, 441, 310, 16, 1842, 1501, 513, 20782, 1899, 25148, 628, 274, 1065, 3681, 580, 432, 254, 254, 1081, 33, 87, 14, 248, 7223, 188, 1438, 1041, 33685, 5415, 43603, 21765, 6741, 310, 279, 6013, 248, 254, 14, 9027, 457, 3096, 338, 274, 188, 276, 36444, 24, 22195, 2803, 18, 432, 0, 597, 7315, 14318, 2778, 353, 282, 11552, 457, 6640, 7927, 775, 16, 35703, 9169, 328, 273, 1125, 6545, 9159, 21150, 457, 2658, 555, 6365, 14452, 41985, 668, 27, 915, 3066, 23309, 14, 16, 4043, 248, 457, 1903, 8462, 14, 14, 12254, 14, 1397, 11126, 769, 345, 16, 403, 1501, 8468, 54, 16551, 24901, 282, 9970, 633, 643, 274, 1028, 41118, 15, 20419, 8683, 274, 14, 532, 30532, 1682, 2094, 345, 14378, 375, 338, 42364, 835, 314, 448, 2714, 446, 16, 1063, 262, 13027, 1395, 1464, 2875, 5603, 1873, 580, 10948, 974, 274, 7161, 826, 374, 254, 45190, 476, 68, 10299, 15013, 286, 512, 494, 13386, 324, 666, 286, 5042, 1012, 1283, 10120, 12882, 1838, 24727, 286, 3442, 624, 188, 5594, 18687, 85, 254, 257, 338, 769, 750, 3134, 16, 276, 729, 282, 2906, 254, 12033, 14, 311, 324, 443, 348, 18136, 369, 11772, 254, 254, 666, 14, 5066, 932, 14, 7682, 2258, 274, 16, 24465, 271, 45980, 3286, 865, 390, 274, 5062, 369, 85, 3928, 7042, 327, 1501, 1024, 616, 1038, 3521, 318, 11313, 85, 11427, 609, 29021, 38559, 1842, 7034, 2341, 745, 254, 3512, 8930, 286, 633, 21574, 4254, 274, 254, 8185, 19349, 457, 2778, 7465, 248, 925, 390, 16, 248, 16, 582, 14, 13039, 3998, 17, 408, 1156, 407, 16, 23163, 14, 8221, 769, 10297, 401, 18400, 6121, 628, 304, 10868, 18, 3442, 668, 9243, 16, 311, 14, 6179, 286, 900, 5330, 254, 819, 3626, 1303, 33383, 279, 9970, 2251, 276, 8862, 12810, 1464, 15, 848, 750, 368, 11313, 274, 29778, 441, 0, 4024, 254, 3054, 1049, 8773, 25, 369, 580, 1064, 288, 274, 408, 18546, 434, 28446, 18, 23857, 9023, 286, 3857, 9564, 1052, 1045, 14, 16, 16, 14, 67, 10062, 14970, 944, 15, 16700, 274, 67, 769, 974, 4349, 1311, 28108, 16, 254, 1499, 1336, 2646, 16, 276, 14, 2884, 1572, 6117, 85, 457, 769, 616, 19, 5930, 12810, 248, 22858, 276, 616, 2057, 282, 1657, 7296, 3326, 274, 580, 85, 16442, 1321, 14, 368, 324, 885, 29618, 747, 16, 286, 16, 282, 348, 1869, 1848, 2803, 368, 555, 4043, 663, 9152, 248, 23431, 2114, 10629, 19653, 13317, 23156, 2225, 89, 1181, 5888, 254, 5281, 282, 8029, 24463, 9339, 20023, 14960, 19285, 2532, 16, 403, 1444, 286, 1041, 2869, 8892, 286, 867, 6650, 13846, 272, 14, 276, 683, 1849, 16700, 25857, 2069, 254, 345, 12810, 42792, 250, 3, 368, 2532, 772, 6866, 15, 688, 561, 7034, 17670, 14, 86, 633, 915, 16, 380, 687, 670, 19224, 286, 2584, 353, 14, 254, 9299, 11909, 276, 85, 16, 432, 343, 16761, 403, 10746, 18, 14, 343, 369, 14, 23588, 811, 248, 35043, 633, 1018, 390, 4117, 801, 17250, 15614, 1012, 24781, 624, 701, 20419, 1824, 348, 4186, 20782, 3992, 16, 25370, 21108, 406, 27, 5603, 254, 46158, 9804, 6636, 9, 16832, 33, 670, 1464, 432, 483, 746, 3447, 348, 9512, 4606, 4959, 324, 41802, 286, 16, 16, 41, 4855, 457, 14256, 633, 43107, 12676, 14, 282, 1926, 23345, 16, 282, 25, 1856, 374, 457, 360, 15, 274, 286, 15, 276, 1544, 4945, 3229, 282, 27345, 15842, 33620, 12810, 311, 9057, 25989, 5603, 14, 14, 1093, 6450, 368, 23748, 380, 14, 276, 7385, 248, 324, 830, 1919, 3805, 3637, 286, 1527, 345, 12622, 4099, 27034, 2028, 666, 269, 274, 2865, 14, 338, 955, 9596, 1083, 272, 1948, 701, 403, 7365, 14375, 47589, 925, 12952, 33, 35043, 2075, 276, 29778, 16, 311, 19, 18796, 286, 248, 261, 321, 432, 5304, 46555, 286, 2936, 8944, 333, 1350, 3233, 6486, 457, 6139, 254, 14, 276, 254, 2424, 21108, 248, 47313, 11313, 282, 85, 16161, 3278, 18806, 7724, 274, 1640, 14, 394, 4945, 555, 12178, 286, 254, 1343, 457, 328, 24901, 4315, 27, 311, 5603, 5172, 86, 324, 8070, 830, 418, 603, 5172, 747, 7702, 254, 32280, 24901, 14, 11570, 457, 2174, 7242, 6964, 380, 4718, 3585, 282, 28629, 607, 8895, 11092, 1422, 357, 22538, 14141, 2818, 4349, 46158, 276, 3297, 9823, 6486, 380, 1842, 15, 35225, 11842, 1683, 14, 24465, 20969, 276, 624, 24465, 14, 457, 360, 328, 643, 4859, 1926, 26815, 248, 311, 5602, 18687, 2875, 4740, 7904, 8442, 248, 769, 1842, 432, 3616, 4426, 274, 4945, 13027, 18, 9219, 15141, 254, 3418, 25053, 286, 343, 749, 6158, 10602, 17028, 496, 345, 286, 276, 262, 15910, 447, 3541, 15, 282, 669, 353, 47, 15, 11313, 19659, 4087, 496, 2803, 9150, 18, 18275, 9289, 20558, 5604, 7671, 286, 561, 274, 274, 2165, 274, 276, 2119, 7575, 6234, 12810, 276, 456, 311, 282, 2057, 16832, 1608, 247, 254, 4489, 6105, 39504, 452, 16, 254, 338, 274, 14, 24901, 380, 6244, 3520, 276, 568, 2449, 6037, 390, 254, 11236, 26594, 20813, 1665, 6519, 11126, 348, 6997, 2941, 2025, 13245, 909, 254, 30741, 254, 387, 1479, 330, 328, 254, 3255, 433, 304, 1321, 671, 14, 11408, 4255, 327, 343, 324, 91, 16700, 11789, 276, 4667, 348, 4043, 14, 16, 188, 18, 16, 14, 283, 925, 587, 41955, 20, 19653, 248, 16, 616, 607, 274, 282, 274, 753, 28499, 282, 16, 1183, 274, 14, 276, 328, 5604, 7417, 345, 32589, 2380, 254, 1171, 254, 74, 1041, 3520, 11849, 769, 387, 13791, 2778, 282, 7213, 1215, 1397, 3297, 436, 10864, 5320, 14, 250, 3286, 254, 5522, 18, 272, 304, 16, 15, 14, 403, 2162, 843, 1018, 3408, 32160, 2069, 17486, 4945, 311, 3626, 6515, 254, 254, 6100, 248, 1594, 353, 286, 3567, 32368, 15819, 8776, 3916, 254, 38688, 38688, 913, 555, 6754, 254, 16, 31736, 16, 274, 454, 807, 1056, 3427, 3737, 254, 248, 11088, 1397, 1919, 18, 369, 9887, 11637, 2653, 25, 1143, 7156, 769, 2520, 551, 19659, 3396 ]

[ 1, 314, 254, 3690, 1838, 4462, 476, 7495, 387, 457, 751, 403, 14, 276, 330, 19076, 0, 248, 8832, 2102, 2142, 390, 18, 15, 10047, 276, 248, 4400, 47115, 1460, 16, 1395, 643, 0, 16, 274, 11088, 563, 188, 4615, 30717, 15183, 30843, 353, 16, 282, 7656, 188, 4087, 282, 86, 3449, 343, 731, 3367, 343, 826, 1577, 40472, 1683, 276, 2244, 248, 14, 254, 20824, 0, 1860, 8869, 3148, 390, 6151, 6612, 286, 4, 37761, 15, 11201, 1362, 11423, 1519, 8767, 403, 5294, 6166, 476, 16, 10407, 347, 6015, 254, 0, 265, 2379, 276, 807, 7306, 254, 13597, 603, 18418, 4360, 434, 9587, 4682, 671, 688, 7413, 27965, 14, 1093, 839, 286, 31759, 9375, 2150, 254, 7065, 17377, 6264, 24362, 282, 388, 610, 3831, 75, 597, 1451, 1683, 633, 668, 42120, 1115, 33, 1499, 1315, 30585, 5514, 1491, 282, 407, 2546, 476, 456, 25, 14890, 1834, 188, 282, 5392, 9138, 997, 303, 615, 32591, 29467, 16, 496, 286, 1596, 2150, 248, 274, 256, 34092, 14463, 324, 12757, 248, 471, 495, 495, 434, 1005, 276, 327, 763, 25308, 3513, 2635, 282, 563, 254, 286, 328, 343, 16, 16, 16, 286, 254, 2014, 15510, 12321, 327, 476, 327, 16, 16, 14029, 974, 4313, 2705, 688, 1577, 8832, 7976, 2102, 1479, 282, 9582, 1379, 369, 16, 1148, 8901, 40870, 13868, 4539, 3379, 248, 16, 286, 607, 14, 34092, 16, 32659, 14, 286, 580, 9587, 2254, 24634, 368, 4987, 274, 0, 274, 318, 3616, 9205, 15545, 9350, 961, 2150, 3379, 1553, 13597, 2094, 17561, 1850, 1027, 39832, 7540, 3616, 387, 274, 7754, 2630, 8117, 368, 7204, 872, 5614, 3532, 4244, 14982, 655, 628, 713, 6151, 31158, 248, 9804, 13618, 1395, 2133, 8189, 282, 16, 2102, 254, 747, 587, 513, 411, 3853, 43289, 272, 19753, 282, 743, 1368, 597, 5210, 573, 21121, 2099, 276, 596, 7204, 1354, 298, 311, 188, 2365, 282, 2489, 14, 16, 21314, 16, 1656, 713, 1033, 417, 1361, 274, 16, 1834, 836, 1673, 434, 1495, 9844, 1594, 374, 428, 2245, 254, 282, 327, 403, 1575, 380, 282, 16, 274, 2602, 3449, 343, 2014, 4285, 254, 555, 33753, 311, 274, 801, 2245, 282, 3148, 4503, 596, 282, 9377, 3648, 16, 3831, 16, 900, 13028, 188, 1035, 12453, 16, 16, 1125, 436, 20934, 2342, 811, 15945, 19, 254, 5455, 759, 954, 2033, 272, 3830, 29143, 5210, 16, 3132, 327, 1063, 274, 18, 274, 282, 1354, 311, 3184, 353, 254, 311, 1596, 31386, 188, 3290, 15, 9844, 40357, 4940, 286, 14625, 15911, 304, 4250, 18522, 348, 663, 2028, 3800, 42526, 869, 2640, 869, 12757, 274, 2048, 14, 17318, 16, 839, 3, 20583, 18, 1575, 254, 282, 2982, 7780, 603, 4188, 4188, 7358, 16, 248, 30843, 22, 254, 4285, 3097, 713, 14, 8850, 1026, 254, 2244, 272, 9287, 7950, 1683, 963, 9587, 274, 16, 91, 39786, 348, 1362, 8649, 4851, 286, 695, 1862, 368, 254, 13597, 353, 751, 1596, 428, 44937, 387, 248, 1026, 596, 9184, 1183, 510, 91, 713, 3790, 1725, 38825, 6648, 188, 16, 188, 826, 345, 655, 1395, 265, 5416, 3327, 2245, 7306, 324, 276, 3533, 369, 1464, 32482, 8850, 407, 338, 12638, 3, 33, 25480, 3830, 254, 6319, 8943, 282, 254, 1860, 3159, 12353, 17260, 5267, 11827, 18693, 14790, 18, 2828, 4835, 4828, 4806, 3139, 7306, 2429, 3802, 33, 1575, 248, 1434, 8195, 274, 1863, 254, 10046, 5150, 4, 532, 1354, 1683, 343, 343, 1708, 5237, 19195, 16, 7966, 343, 439, 928, 597, 14, 188, 6981, 254, 819, 19851, 12183, 7834, 248, 14490, 307, 248, 3783, 513, 6166, 713, 7103, 390, 8850, 248, 807, 1040, 286, 347, 4895, 407, 16, 254, 633, 248, 2099, 1183, 867, 274, 7732, 668, 20583, 11235, 254, 751, 188, 398, 448, 5210, 774, 328, 31592, 368, 668, 22131, 1015, 747, 1799, 5736, 2622, 1017, 8571, 2430, 580, 274, 390, 15562, 4028, 10186, 1106, 485, 3427, 274, 9898, 188, 375, 9844, 276, 555, 14982, 25131, 188, 248, 14982, 593, 254, 44937, 387, 14, 641, 276, 742, 276, 4122, 40357, 338, 254, 407, 6865, 21331, 1238, 3491, 1917, 16449, 248, 748, 825, 954, 4311, 282, 13906, 3184, 428, 2066, 5656, 4578, 248, 368, 1834, 16, 5416, 4619, 2245, 321, 802, 1278, 1657, 586, 11917, 248, 1042, 91, 254, 16481, 749, 286, 4609, 14, 36540, 4539, 2014, 248, 603, 532, 928, 16, 44937, 276, 2584, 580, 416, 5942, 16, 2523, 2382, 695, 679, 7798, 512, 11100, 2065, 28, 14890, 347, 47, 20583, 826, 44315, 3352, 1385, 311, 14, 600, 248, 36121, 274, 327, 4124, 254, 254, 2150, 353, 12321, 2023, 1582, 2732, 48088, 1441, 353, 513, 24, 16837, 1395, 27868, 641, 28150, 38, 286, 3831, 21971, 276, 311, 18, 282, 624, 265, 276, 11898, 276, 977, 2014, 1206, 719, 2014, 16, 2626, 14, 282, 422, 2150, 14, 417, 390, 2705, 807, 37761, 254, 14, 19859, 2055, 580, 742, 4756, 370, 17036, 353, 1575, 188, 1683, 282, 1689, 13597, 5210, 48088, 3379, 668, 387, 4822, 286, 510, 390, 407, 84, 4, 476, 254, 12453, 276, 4703, 7793, 17427, 2244, 4, 2065, 16609, 686, 615, 555, 6545, 11983, 14, 311, 763, 16, 311, 27965, 272, 2367, 254, 1268, 8832, 11213, 1017, 633, 417, 188, 1336, 254, 749, 1850, 975, 1575, 282, 19851, 248, 5017, 15, 33, 1525, 282, 254, 7793, 286, 272, 343, 615, 32211, 16, 5237, 370, 1860, 263, 3313, 552, 254, 512, 411, 14, 605, 6319, 16, 2949, 8686, 16, 44954, 14860, 13708, 12432, 997, 9832, 1238, 254, 1689, 14, 4539, 353, 3918, 5157, 368, 254, 258, 282, 16, 3616, 8677, 5416, 15943, 368, 6936, 16, 31346, 13112, 8131, 10274, 10149, 36932, 2482, 19655, 19973, 11761, 2411, 3616, 13597, 512, 286, 0, 77, 5081, 14910, 348, 324, 3393, 286, 14664, 282, 1834, 2357, 3533, 12572, 24326, 3139, 633, 434, 254, 4864, 1026, 14505, 12757, 2876, 2099, 27701, 2150, 282, 6064, 963, 19886, 311, 1354, 343, 1017, 520, 748, 28, 1794, 14, 254, 2332, 3616, 5337, 368, 8850, 3442, 254, 16, 343, 7732, 324, 286, 188, 436, 343, 5237, 748, 254, 20, 11567, 1444, 5256, 272, 7771, 3055, 19929, 24839, 348, 403, 587, 668, 4, 555, 40357, 10849, 427, 669, 6499, 14982, 265, 2014, 1860, 3918, 1499, 14, 7282, 16, 2519, 35035, 274, 1160, 5692, 11, 276, 286, 282, 3224, 3155, 24873, 4024 ]

[ 1, 248, 38, 14, 2802, 274, 4859, 19753, 327, 274, 40291, 5925, 254, 12309, 348, 597, 1482, 21767, 324, 3360, 22904, 939, 28837, 38331, 9676, 8353, 16, 14287, 5846, 587, 282, 12290, 282, 532, 14287, 282, 826, 360, 7274, 368, 23, 10417, 457, 9916, 16, 254, 502, 38, 8476, 417, 12136, 5650, 282, 436, 643, 3699, 1181, 42209, 42106, 23054, 32464, 4577, 14, 3064, 282, 2779, 2057, 18, 11887, 2269, 3265, 14, 25030, 81, 254, 1830, 360, 254, 2875, 348, 1336, 14, 324, 343, 311, 348, 42106, 3268, 24658, 18205, 2211, 20567, 6362, 282, 274, 311, 7943, 436, 900, 12309, 4817, 380, 944, 368, 1116, 1921, 3227, 669, 31512, 321, 499, 1944, 18398, 254, 2269, 38331, 5419, 18639, 328, 1212, 14287, 8071, 3831, 360, 254, 254, 353, 21177, 20188, 0, 839, 311, 311, 1017, 8444, 387, 39418, 3, 18247, 8227, 255, 254, 555, 1873, 16140, 452, 47854, 248, 274, 3095, 360, 38331, 40291, 286, 2427, 254, 28837, 512, 603, 282, 403, 248, 403, 282, 436, 12592, 24170, 774, 248, 872, 1574, 346, 387, 2497, 5945, 1038, 24656, 86, 274, 5686, 254, 835, 254, 1074, 41560, 274, 8367, 2023, 368, 3238, 86, 1116, 1840, 10359, 9302, 254, 5439, 1574, 276, 254, 609, 14, 2508, 6930, 3112, 276, 633, 5247, 188, 286, 3831, 9115, 668, 14, 641, 276, 9806, 3462, 772, 3418, 687, 3780, 3278, 2875, 457, 591, 254, 14, 5123, 497, 38331, 27469, 24170, 254, 1426, 15, 3555, 282, 865, 4823, 7273, 8745, 618, 9717, 343, 24739, 14, 9804, 432, 368, 4684, 1847, 441, 3506, 7304, 45962, 16, 3, 5247, 774, 15, 14, 2731, 819, 353, 1613, 915, 452, 641, 1181, 274, 11146, 7045, 327, 5285, 368, 6333, 16, 343, 16624, 254, 362, 380, 360, 254, 2374, 16, 46534, 18, 274, 254, 248, 23315, 6458, 2942, 872, 324, 282, 10944, 5937, 276, 324, 495, 38331, 7826, 4081, 16, 668, 1212, 343, 2563, 248, 14, 1448, 16354, 641, 1613, 248, 18, 2497, 276, 14, 368, 1479, 324, 310, 44836, 14, 282, 4153, 188, 10573, 21471, 683, 276, 278, 1162, 19, 1162, 398, 1533, 248, 1903, 286, 958, 274, 587, 2042, 282, 1788, 3026, 16, 1640, 321, 452, 254, 4665, 348, 499, 273, 286, 14, 14, 452, 1068, 1247, 42106, 324, 4679, 14, 3869, 32612, 2456, 254, 43408, 274, 447, 248, 37818, 533, 4822, 14, 33823, 428, 18, 274, 248, 2347, 476, 1580, 4105, 398, 6499, 428, 10665, 1683, 23098, 476, 1525, 3, 1350, 5166, 32612, 368, 633, 248, 3089, 311, 282, 21231, 1860, 14, 15803, 21, 16, 452, 32612, 8270, 16, 2865, 695, 843, 2949, 286, 28211, 14, 286, 11078, 0, 251, 34514, 633, 476, 276, 4652, 248, 8425, 1068, 2591, 3015, 282, 6429, 14231, 751, 282, 668, 3134, 324, 436, 14, 21406, 2718, 20428, 1091, 10573, 16, 1193, 11078, 521, 14036, 16, 3284, 4626, 14, 633, 665, 8334, 276, 888, 14, 27469, 633, 28108, 2104, 1144, 3858, 17692, 626, 18550, 826, 16, 7943, 390, 248, 671, 1286, 390, 251, 457, 19923, 1026, 16, 286, 327, 1444, 1788, 807, 659, 248, 188, 609, 18, 4024, 748, 4112, 2497, 555, 961, 343, 85, 33, 1903, 4326, 403, 2918, 432, 1659, 3432, 6326, 2677, 274, 889, 633, 1921, 4679, 15, 743, 15516, 13468, 2811, 254, 5534, 16, 368, 348, 274, 512, 772, 38331, 2324, 282, 555, 8617, 85, 14, 18804, 273, 10473, 18, 883, 14, 669, 2023, 32071, 255, 248, 14036, 286, 2501, 286, 11661, 3005, 286, 3189, 980, 4260, 282, 4817, 1683, 15620, 31584, 2868, 2758, 274, 476, 593, 89, 772, 324, 633, 713, 939, 7943, 14, 343, 715, 811, 609, 1285, 9382, 839, 274, 495, 311, 16, 16, 436, 307, 368, 4269, 9865, 748, 2501, 4662, 8715, 368, 774, 963, 26660, 18, 1733, 8597, 974, 282, 615, 360, 16, 713, 28561, 811, 8480, 314, 713, 2758, 408, 327, 16, 12309, 348, 1640, 975, 28208, 3627, 3541, 18217, 32412, 390, 286, 248, 457, 11078, 368, 324, 7966, 276, 4445, 4112, 368, 743, 254, 16, 4654, 568, 4704, 633, 5322, 324, 353, 1248, 441, 1612, 321, 14, 324, 2304, 27469, 2254, 3869, 390, 254, 366, 14, 1773, 457, 272, 16911, 248, 9711, 1391, 7061, 86, 16, 353, 43408, 33638, 286, 328, 254, 35692, 5925, 286, 25862, 1241, 324, 1872, 5819, 286, 2214, 14, 2966, 311, 282, 615, 624, 16, 10610, 603, 328, 276, 1648, 327, 10007, 452, 26011, 731, 2558, 3034, 3074, 593, 4136, 2014, 2660, 3408, 328, 14, 7030, 16, 14, 286, 273, 286, 16, 40980, 39684, 368, 14, 476, 16, 13202, 254, 328, 254, 282, 23504, 248, 289, 6465, 3015, 311, 6699, 642, 3038, 512, 16, 390, 254, 18, 40697, 9611, 513, 254, 6939, 14, 86, 368, 5537, 282, 5094, 1061, 1755, 2042, 476, 888, 38331, 282, 286, 18609, 30120, 311, 311, 188, 254, 2066, 2367, 386, 38718, 23176, 1603, 16, 16, 254, 3106, 13790, 457, 2512, 15270, 368, 8712, 1989, 328, 1843, 248, 75, 343, 368, 633, 3783, 254, 44126, 368, 30120, 286, 348, 4251, 1837, 9863, 802, 22317, 254, 29, 387, 2758, 42209, 248, 14, 1863, 15, 286, 474, 807, 254, 274, 785, 457, 282, 248, 457, 1840, 311, 2591, 6069, 254, 321, 436, 343, 46191, 12870, 6304, 380, 282, 398, 14463, 13057, 1034, 286, 403, 254, 254, 4168, 4311, 17865, 5309, 282, 390, 353, 14, 11402, 626, 274, 254, 774, 38, 286, 432, 603, 3227, 40598, 2374, 327, 274, 311, 1015, 2843, 5447, 286, 248, 772, 436, 255, 2158, 254, 10419, 2782, 705, 980, 274, 2876, 286, 16, 4024, 85, 811, 254, 254, 5328, 38331, 9720, 254, 254, 8227, 20, 1211, 274, 580, 1530, 3418, 665, 16, 3258, 665, 2539, 254, 743, 8132, 248, 457, 254, 1862, 368, 13922, 4848, 2449, 274, 17036, 282, 1062, 615, 7100, 368, 7363, 286, 3103, 15, 8093, 690, 2960, 286, 2257, 368, 28319, 14, 254, 633, 398, 1090, 16, 2365, 2533, 597, 580, 286, 3970, 22, 6211, 15219, 872, 254, 12343, 729, 2778, 248, 18, 603, 476, 85, 327, 457, 2508, 348, 3284, 593, 12796, 15931, 1125, 85, 5166, 274, 3672, 368, 3432, 4603, 432, 254, 12309, 2408, 3, 452, 9927, 15409, 422, 254, 3944, 6949, 16, 14, 14712, 254, 12343, 20029, 274, 785, 324, 286, 14492, 772, 282, 3551, 286, 255, 5289, 6199, 2214, 15, 25068 ]

[ 1, 254, 9542, 14635, 2314, 688, 9812, 286, 775, 327, 4606, 1384, 457, 41, 603, 15650, 457, 580, 1847, 18146, 14, 15650, 457, 7290, 32736, 580, 1141, 15650, 3, 6986, 411, 2950, 286, 44781, 457, 14, 254, 1115, 431, 47438, 1254, 86, 2003, 576, 46695, 34090, 457, 6724, 282, 1347, 367, 24472, 1544, 16, 16, 327, 54, 1582, 626, 188, 321, 19159, 457, 35311, 390, 16, 16, 1038, 580, 596, 3826, 41645, 9807, 3147, 16, 937, 636, 1268, 512, 14, 4254, 2909, 188, 79, 2115, 331, 1153, 23898, 10863, 328, 13710, 9472, 254, 42314, 188, 22790, 35358, 14, 1796, 16, 369, 254, 1591, 16, 839, 282, 47401, 188, 13203, 26538, 12339, 7933, 18, 576, 282, 6636, 254, 22713, 3166, 33, 53, 16, 23641, 13264, 10428, 276, 1157, 1093, 8998, 2350, 48, 321, 731, 38440, 618, 8474, 1051, 1856, 29405, 14834, 4815, 354, 310, 2909, 387, 618, 663, 1643, 310, 3069, 889, 310, 937, 23898, 750, 188, 35971, 348, 16, 21356, 1374, 473, 369, 14, 14, 6470, 16, 865, 1779, 5766, 6268, 4141, 324, 3605, 85, 4738, 7743, 573, 16933, 18983, 6474, 16, 14, 3977, 254, 1789, 85, 443, 3, 27873, 310, 3240, 353, 807, 2282, 19835, 452, 476, 618, 670, 8927, 254, 1096, 16, 8500, 5499, 942, 7806, 16, 1090, 368, 254, 36598, 2978, 282, 15169, 1547, 7233, 33212, 476, 16, 310, 327, 16, 457, 1787, 1791, 457, 188, 10428, 417, 323, 274, 254, 248, 18335, 54, 282, 561, 5475, 1212, 54, 17932, 39977, 3965, 457, 1384, 310, 3368, 35668, 50, 16683, 254, 457, 626, 2909, 1141, 14, 786, 2722, 29202, 597, 3686, 14635, 6470, 282, 274, 2909, 8283, 14, 16177, 70, 16933, 2824, 751, 7933, 1663, 16, 327, 40465, 13763, 1787, 457, 5769, 476, 37, 3760, 5947, 35, 1661, 1051, 188, 6104, 1122, 16, 188, 457, 16, 248, 34211, 188, 16, 282, 563, 457, 37050, 11021, 8910, 457, 2909, 15663, 1045, 330, 2289, 188, 18058, 2222, 18498, 38440, 3402, 527, 38440, 7946, 1469, 15997, 626, 2866, 1503, 254, 16, 17932, 14703, 36497, 16, 7634, 5684, 7743, 457, 16, 596, 39410, 512, 1505, 282, 380, 2780, 16, 457, 47, 43, 387, 331, 1505, 7806, 1051, 687, 1547, 14, 16, 86, 3368, 8927, 48175, 9010, 309, 4902, 16, 47, 2909, 16, 16, 5669, 27268, 310, 59, 2501, 310, 2909, 1842, 671, 14138, 21356, 942, 4143, 188, 353, 188, 5230, 2350, 1244, 39790, 626, 40624, 24412, 37649, 2119, 15650, 254, 3376, 21569, 85, 282, 497, 8500, 2187, 5675, 1311, 327, 7184, 16, 997, 687, 16, 452, 2932, 27309, 26868, 13380, 16, 5998, 573, 16, 457, 457, 457, 16, 6956, 310, 670, 626, 276, 274, 16, 53, 1619, 932, 1051, 254, 16, 16, 3222, 7575, 5592, 31214, 807, 15907, 452, 380, 16, 751, 2610, 2554, 252, 627, 457, 37795, 40624, 1033, 5478, 328, 11169, 18564, 16, 310, 974, 310, 330, 4948, 327, 867, 188, 33, 59, 85, 1115, 276, 16226, 85, 85, 1141, 1505, 15473, 388, 46303, 274, 937, 360, 310, 1982, 731, 18335, 2646, 47241, 1438, 26313, 444, 188, 369, 2909, 10244, 324, 457, 9787, 687, 254, 512, 324, 5976, 650, 44815, 16, 23898, 276, 8139, 6931, 1578, 188, 36936, 9524, 811, 85, 1143, 25212, 593, 368, 254, 188, 8143, 25669, 13203, 254, 310, 251, 1311, 4234, 16, 2909, 53, 369, 27873, 188, 14, 670, 254, 323, 43, 21765, 16, 188, 1469, 42314, 2560, 369, 310, 12860, 900, 3686, 354, 2554, 39410, 85, 286, 276, 369, 3699, 16, 53, 9314, 1493, 310, 274, 432, 563, 328, 33, 282, 1906, 457, 26274, 323, 323, 10250, 254, 7325, 1791, 37654, 14, 13187, 9678, 7634, 16, 16726, 1364, 53, 86, 4141, 16, 39790, 6107, 16, 1285, 286, 254, 3977, 188, 310, 1643, 14975, 28507, 3, 11775, 40744, 418, 9542, 254, 16, 418, 432, 3116, 47458, 27873, 2849, 2278, 33, 563, 331, 26313, 5858, 8500, 188, 2909, 6414, 3122, 286, 6086, 2707, 254, 16, 274, 26327, 403, 15014, 3944, 687, 16, 282, 321, 5061, 27309, 34134, 8474, 310, 4314, 40, 596, 43, 747, 3222, 3, 18058, 16, 16, 254, 8474, 31550, 7806, 33269, 1334, 3414, 28584, 30994, 416, 23467, 1643, 188, 9542, 343, 4634, 32009, 36497, 188, 85, 1364, 33, 452, 8958, 3760, 274, 14, 1503, 14864, 457, 310, 457, 8500, 6645, 3368, 3789, 751, 14711, 254, 417, 2932, 4438, 811, 16933, 2003, 1427, 188, 330, 16436, 6268, 30404, 14, 811, 1499, 33, 248, 811, 16, 1122, 43343, 4764, 441, 457, 563, 3602, 573, 1663, 1093, 276, 2110, 2378, 345, 4252, 286, 1970, 457, 2856, 16, 1661, 457, 457, 3732, 16, 17307, 28610, 2056, 16959, 457, 388, 16, 14, 2707, 7537, 248, 14, 596, 835, 57, 1029, 937, 33212, 286, 35335, 33, 9844, 36497, 596, 4677, 29363, 3069, 33, 21659, 4141, 8283, 2909, 6234, 1354, 1547, 9658, 811, 14780, 188, 20138, 497, 9199, 310, 16, 286, 282, 452, 1122, 86, 16177, 10316, 4842, 748, 21356, 327, 6231, 309, 1691, 44781, 353, 266, 286, 3977, 286, 354, 980, 188, 418, 367, 37224, 42314, 16, 323, 1442, 10358, 188, 8474, 24472, 10340, 1286, 41645, 44767, 29202, 1878, 8667, 2950, 276, 2003, 248, 16, 1362, 7341, 323, 17130, 248, 354, 411, 2003, 1230, 18, 626, 1260, 4738, 457, 2834, 729, 254, 811, 286, 10894, 254, 70, 16, 86, 9844, 282, 3789, 368, 188, 38671, 387, 330, 311, 16, 254, 4448, 327, 10428, 53, 2856, 7946, 7341, 529, 19178, 43, 248, 457, 54, 457, 4738, 6754, 59, 310, 188, 618, 11437, 18, 573, 596, 282, 353, 452, 15, 16, 476, 937, 10854, 4834, 25020, 7743, 34134, 4497, 188, 16, 5498, 16, 85, 3368, 11264, 10863, 14864, 16, 310, 5153, 3789, 4045, 2278, 254, 353, 1230, 16, 10854, 3885, 20044, 682, 8283, 21659, 900, 310, 85, 729, 33974, 7743, 310, 10445, 619, 977, 16, 4251, 16531, 11534, 13981, 3222, 7575, 457, 1354, 4762, 44664, 4762, 12486, 670, 4834, 188, 57, 7217, 38671, 328, 369, 779, 9807, 3, 457, 9452, 16, 286, 9807, 10428, 1026, 12420, 16531, 16, 27309, 43147, 2342, 3789, 1339, 31220, 188, 6396, 8500, 34134, 41943, 310, 1390, 8474, 310, 188, 3428, 16, 933, 23342, 3602, 16, 1374, 1779, 8474, 39977, 2231, 43, 18, 30811, 7806, 8910, 23342, 10316, 20044, 1176, 42844, 5167, 10894, 1547, 411, 343, 14, 532, 187, 10870, 324, 360 ]

[ 1, 248, 252, 328, 42370, 22, 7608, 472, 324, 19, 2131, 4212, 2819, 387, 1078, 324, 15, 318, 274, 6939, 254, 30372, 252, 14, 2819, 331, 5138, 9129, 1110, 394, 15, 16, 2965, 473, 1110, 10187, 2965, 14, 596, 9652, 254, 6830, 1599, 20, 1599, 2819, 1903, 331, 597, 48040, 7046, 2965, 16160, 751, 369, 2956, 254, 19, 457, 21, 188, 3461, 286, 418, 18429, 1110, 267, 888, 472, 272, 85, 884, 274, 5138, 254, 3074, 573, 1305, 1250, 16, 2674, 7887, 17726, 751, 841, 1305, 687, 687, 24, 85, 12178, 1115, 570, 925, 14351, 8165, 4886, 22, 1423, 328, 6830, 869, 16, 9652, 457, 276, 43666, 254, 11374, 32186, 19763, 1495, 286, 11837, 315, 14, 314, 416, 8138, 407, 324, 687, 2948, 4717, 16669, 14, 314, 79, 17220, 248, 597, 1673, 28, 472, 26, 2654, 331, 11, 609, 85, 407, 9086, 274, 2819, 432, 1302, 252, 282, 1758, 5619, 566, 17220, 457, 14000, 252, 2004, 2965, 1758, 15536, 18, 457, 20450, 12178, 472, 1495, 597, 373, 525, 37941, 254, 609, 16, 252, 1110, 338, 2568, 328, 188, 4966, 581, 4966, 53, 15, 34345, 581, 23037, 16, 2125, 898, 472, 888, 47994, 576, 373, 16, 506, 343, 32186, 597, 22771, 457, 7887, 14, 457, 71, 7156, 1081, 328, 566, 1051, 25982, 22772, 483, 2607, 16, 416, 2755, 1903, 16, 14, 248, 470, 15, 1015, 687, 841, 2819, 18, 2367, 566, 286, 44016, 22132, 9249, 374, 3280, 888, 12178, 338, 506, 3864, 3364, 15906, 328, 417, 6701, 353, 14, 39188, 16, 4717, 444, 188, 254, 7830, 581, 374, 14, 9652, 324, 1282, 4873, 610, 2125, 254, 407, 25982, 597, 939, 16, 2819, 3894, 248, 254, 1903, 42407, 3894, 959, 2131, 25982, 7830, 28376, 297, 254, 444, 252, 254, 5166, 16, 1649, 3648, 566, 2214, 561, 323, 12178, 533, 18679, 1110, 607, 16, 374, 282, 1115, 14297, 11027, 254, 252, 963, 472, 369, 19, 2948, 15, 324, 11837, 314, 28376, 324, 286, 12178, 1110, 18, 14, 16, 532, 15, 407, 2755, 849, 324, 1157, 17726, 750, 331, 14, 2948, 374, 314, 813, 963, 14, 276, 254, 11374, 457, 30941, 9903, 9652, 670, 9418, 254, 750, 472, 4886, 18, 4886, 1938, 17220, 3901, 4886, 71, 1599, 5615, 37941, 380, 888, 8012, 71, 267, 802, 314, 15, 7410, 38543, 39273, 18, 4886, 1599, 16, 19, 2819, 85, 343, 652, 254, 354, 25, 343, 286, 28376, 4590, 394, 44016, 19, 671, 14517, 343, 14, 4886, 12092, 252, 4212, 394, 1385, 1976, 2640, 254, 28, 18, 32930, 276, 16, 14, 387, 6522, 1525, 1385, 254, 1939, 268, 7410, 593, 17220, 14351, 5459, 314, 6494, 4886, 15, 286, 324, 2966, 436, 254, 378, 2819, 848, 254, 30229, 662, 10110, 9373, 248, 1226, 10620, 959, 314, 324, 252, 248, 282, 4886, 255, 20, 444, 1874, 3894, 16, 473, 1934, 5302, 248, 532, 374, 500, 24, 5198, 20869, 248, 7168, 671, 248, 2569, 328, 2795, 15906, 4467, 286, 4886, 34076, 282, 338, 15, 1302, 1862, 432, 2965, 330, 9650, 813, 743, 286, 4598, 581, 248, 1063, 276, 2350, 1903, 378, 16, 19, 343, 1545, 248, 576, 30372, 525, 1599, 14, 18, 11958, 10423, 330, 42407, 324, 597, 2125, 436, 15, 2630, 374, 26, 496, 28376, 399, 607, 272, 282, 8251, 683, 18, 14, 338, 963, 23683, 297, 16, 656, 1599, 252, 495, 387, 286, 21847, 275, 374, 473, 252, 869, 596, 3648, 19, 581, 2948, 276, 252, 7887, 5288, 6701, 286, 1758, 18, 20, 1874, 2819, 343, 2057, 841, 28376, 10990, 16, 4212, 328, 30277, 17267, 869, 7110, 17220, 2965, 2584, 1919, 14, 4168, 85, 20, 53, 16, 729, 401, 254, 3864, 6650, 338, 53, 286, 12178, 3648, 457, 615, 21, 248, 3522, 532, 15, 1110, 15990, 2965, 26, 343, 286, 16, 21, 6830, 18, 282, 6956, 13488, 1689, 801, 963, 4590, 72, 276, 14, 473, 394, 607, 1081, 254, 338, 849, 32375, 506, 10932, 15373, 576, 343, 21847, 14, 4168, 898, 1649, 324, 23274, 39188, 286, 1903, 841, 841, 267, 9471, 2630, 1051, 2819, 5338, 286, 16, 28766, 14297, 85, 4717, 248, 607, 71, 18, 21, 609, 18429, 343, 624, 254, 533, 801, 378, 274, 44016, 15, 11837, 4467, 6830, 16, 688, 328, 1480, 343, 580, 1874, 2630, 331, 14, 2046, 5619, 17220, 2125, 2640, 506, 8621, 432, 254, 532, 1143, 4717, 9676, 324, 1330, 264, 16, 5325, 4168, 343, 328, 4400, 1470, 21, 532, 272, 466, 22132, 254, 532, 248, 12178, 331, 4467, 254, 248, 282, 274, 12178, 15, 11, 338, 21, 14073, 16, 597, 1315, 44016, 254, 324, 315, 1922, 22771, 3444, 2819, 473, 2704, 378, 699, 3269, 330, 14, 732, 852, 16, 12319, 1599, 643, 338, 436, 14, 248, 5675, 286, 5527, 756, 286, 12180, 7168, 750, 472, 373, 457, 16, 18, 472, 315, 30941, 2948, 520, 331, 91, 2965, 338, 21, 1143, 343, 841, 472, 401, 532, 343, 275, 248, 4886, 28376, 6140, 11982, 14266, 2318, 323, 785, 1250, 16, 248, 374, 16, 2704, 14, 2965, 663, 481, 1110, 444, 7452, 7887, 686, 268, 7110, 399, 282, 282, 13091, 16, 2099, 338, 2350, 1837, 4966, 580, 254, 4634, 5018, 338, 1110, 417, 1758, 2948, 282, 432, 19, 641, 650, 5288, 248, 16, 15990, 6936, 14, 687, 650, 3364, 2569, 5330, 444, 9756, 314, 432, 28376, 4886, 2214, 7110, 275, 2099, 286, 2755, 11027, 1495, 282, 42407, 416, 286, 7410, 671, 248, 188, 2956, 248, 3198, 1110, 324, 248, 314, 10690, 2873, 248, 18475, 14, 282, 343, 8165, 328, 14517, 627, 4255, 72, 16, 750, 254, 282, 188, 627, 338, 16, 318, 5293, 14, 9823, 4590, 17220, 9652, 286, 6548, 1863, 416, 16, 8318, 1599, 14484, 5742, 315, 15583, 2144, 1599, 28393, 9249, 282, 394, 597, 16, 17220, 1468, 401, 254, 43099, 2819, 495, 188, 248, 16028, 15, 432, 22512, 286, 4717, 14, 1110, 254, 452, 3155, 254, 12178, 16, 1364, 11837, 3864, 254, 254, 7787, 274, 5338, 328, 3522, 427, 20, 328, 1599, 254, 5048, 5288, 17220, 19, 1110, 254, 19, 308, 16, 1938, 500, 1226, 282, 457, 5138, 15906, 2956, 473, 324, 4824, 268, 28376, 53, 6106, 1631, 497, 6494, 28376, 248, 5459, 742, 323, 607, 3522, 4467, 9779, 9086, 14, 16, 3831, 14517, 581, 267, 1302, 21847, 254, 21847, 10690, 343, 254, 276, 497, 2496, 687 ]

[ 1, 3227, 28150, 188, 2347, 7934, 254, 597, 5333, 2966, 14456, 457, 560, 274, 6636, 40422, 417, 188, 368, 314, 633, 31254, 15281, 729, 826, 5309, 254, 282, 254, 671, 368, 286, 3236, 38076, 1683, 512, 16, 695, 13218, 324, 13868, 254, 2674, 19, 18938, 1041, 274, 7934, 2960, 3584, 457, 457, 348, 324, 3294, 4678, 5357, 4916, 14, 3407, 14, 321, 5520, 311, 282, 417, 12136, 12840, 286, 619, 1062, 587, 41357, 872, 360, 1143, 3895, 706, 772, 282, 747, 17973, 188, 942, 633, 19639, 324, 24587, 2497, 323, 324, 555, 7528, 282, 706, 706, 274, 15803, 282, 276, 4917, 5411, 14, 8670, 360, 353, 86, 14, 16258, 5411, 282, 16, 555, 254, 10849, 286, 587, 1800, 86, 4177, 343, 2124, 286, 276, 254, 12136, 254, 282, 3607, 4236, 4052, 7411, 14036, 4901, 324, 328, 6987, 403, 747, 513, 11007, 18631, 1788, 274, 274, 2211, 6311, 20, 276, 3134, 254, 254, 17677, 1683, 14, 2485, 327, 16258, 633, 41357, 387, 16, 2824, 14, 343, 7934, 3867, 26226, 3280, 2072, 57, 7996, 360, 5066, 1042, 254, 12963, 327, 254, 390, 14, 16, 3867, 274, 20243, 436, 11754, 248, 5537, 14, 16258, 254, 4678, 4925, 17963, 403, 2080, 188, 476, 8752, 9848, 248, 282, 16, 12136, 3606, 3134, 2041, 643, 328, 16, 71, 360, 3831, 14, 1842, 274, 18858, 254, 35, 2780, 248, 615, 17932, 533, 314, 44759, 373, 2298, 1862, 4615, 5537, 6956, 706, 440, 282, 16, 16, 555, 31244, 338, 321, 2280, 997, 7918, 624, 633, 4829, 16364, 16, 41144, 436, 16, 1444, 3867, 311, 5742, 706, 286, 5374, 5784, 282, 188, 6508, 286, 671, 650, 23984, 4387, 671, 343, 10281, 4344, 11911, 5603, 254, 7779, 390, 348, 286, 369, 4829, 4678, 254, 254, 254, 3109, 10077, 555, 368, 16065, 343, 188, 286, 254, 2072, 13078, 14, 530, 8434, 1431, 5320, 16, 9611, 2075, 311, 254, 641, 18657, 1525, 286, 14, 3944, 324, 13078, 1490, 324, 8718, 457, 348, 8034, 390, 7012, 248, 21718, 9828, 86, 43281, 3184, 276, 30263, 20, 1842, 254, 348, 4500, 286, 758, 274, 282, 17973, 16, 11318, 282, 323, 14, 590, 5837, 5520, 961, 3867, 368, 12507, 1837, 13078, 3555, 286, 348, 4829, 5537, 7053, 1903, 4489, 619, 274, 7012, 13078, 0, 345, 323, 2876, 802, 8022, 25369, 16, 2858, 2072, 1068, 671, 255, 2030, 4010, 286, 7057, 8930, 1316, 2885, 20, 12534, 16, 36968, 282, 11754, 251, 3006, 2662, 254, 6508, 31746, 461, 286, 3637, 32227, 6343, 19927, 17272, 1612, 3233, 18590, 4044, 3248, 512, 633, 387, 12129, 1826, 1500, 282, 7012, 286, 274, 327, 254, 3133, 11728, 15886, 9124, 665, 4506, 254, 254, 286, 327, 2554, 4236, 1665, 18, 29618, 14456, 619, 18, 12136, 282, 7885, 1479, 1606, 1934, 188, 11754, 1438, 282, 2114, 839, 188, 5709, 576, 476, 347, 729, 1276, 1242, 2609, 16, 343, 2304, 274, 3835, 2014, 34852, 1285, 353, 286, 6257, 254, 321, 254, 452, 8164, 2875, 248, 7923, 5070, 533, 403, 86, 1949, 282, 10031, 348, 457, 3083, 15, 457, 30063, 282, 12136, 327, 3570, 7012, 1683, 254, 353, 390, 14456, 16943, 1583, 188, 7262, 6021, 15629, 16, 3095, 387, 286, 457, 40679, 24912, 4279, 282, 282, 7779, 274, 15, 683, 603, 17677, 5537, 7012, 597, 30328, 2554, 16, 2142, 12136, 17677, 889, 12136, 10510, 457, 4, 324, 368, 20150, 390, 282, 86, 7012, 457, 2624, 327, 1305, 14430, 555, 4153, 254, 16258, 16, 276, 14, 3202, 510, 4578, 30328, 282, 2159, 2114, 282, 254, 576, 16943, 248, 1665, 3418, 9008, 665, 255, 1062, 944, 368, 12136, 4236, 321, 1402, 16, 772, 11, 380, 36532, 3260, 248, 9124, 14, 1286, 254, 254, 37329, 2028, 7976, 254, 974, 624, 17677, 1516, 17973, 7918, 47156, 751, 4236, 633, 38, 311, 5058, 1505, 1260, 1286, 41357, 933, 563, 254, 3134, 282, 3097, 14, 318, 3944, 14, 2042, 6454, 42606, 16, 2427, 3551, 12454, 4242, 669, 9241, 436, 282, 254, 282, 1949, 1838, 353, 802, 9241, 3709, 603, 14, 5088, 2430, 513, 274, 1612, 265, 3944, 331, 1683, 2706, 248, 417, 2013, 16, 368, 24970, 1040, 85, 3269, 254, 4916, 641, 384, 7012, 434, 41144, 276, 1479, 633, 3, 747, 1041, 4948, 974, 513, 3555, 407, 6136, 7012, 436, 671, 360, 311, 13709, 353, 4472, 286, 348, 2992, 30328, 2056, 1748, 1395, 254, 274, 12343, 248, 16780, 457, 3071, 353, 324, 16, 11982, 8434, 10193, 5088, 9714, 3831, 368, 282, 353, 343, 5537, 348, 481, 188, 368, 10089, 4154, 20804, 4236, 452, 29, 13496, 16, 8670, 434, 9241, 3983, 1068, 85, 282, 2056, 254, 17720, 1276, 85, 321, 14, 368, 9270, 747, 2662, 11911, 254, 12136, 348, 2110, 254, 624, 16, 537, 311, 16, 12728, 274, 327, 324, 3790, 47109, 323, 836, 2353, 16, 343, 1207, 14, 26239, 1038, 417, 417, 597, 457, 6128, 867, 872, 31244, 4772, 3134, 14, 17677, 13709, 254, 11891, 324, 1919, 3280, 576, 311, 561, 7934, 4566, 10516, 15485, 4558, 6418, 327, 3867, 14, 8876, 17111, 390, 188, 751, 670, 4061, 665, 772, 20150, 0, 2512, 254, 327, 17677, 9241, 670, 14874, 188, 7934, 9241, 353, 20804, 16258, 20, 624, 16, 3688, 254, 16, 7934, 2041, 4703, 276, 11754, 7629, 4552, 3997, 5088, 26239, 3944, 1033, 380, 311, 369, 706, 254, 555, 282, 3551, 1074, 14, 3134, 314, 248, 276, 1830, 7254, 2142, 327, 512, 276, 3149, 17111, 15834, 286, 2042, 8102, 17973, 642, 31244, 872, 1143, 457, 2530, 16, 16, 274, 85, 4793, 255, 30328, 4110, 16, 5577, 9117, 274, 47708, 391, 3435, 318, 2014, 248, 14, 18229, 286, 8888, 2219, 11754, 16381, 85, 336, 327, 2958, 3944, 31244, 1423, 555, 751, 265, 2966, 403, 16, 7262, 2609, 4154, 3621, 188, 7923, 7262, 7012, 3699, 14, 2245, 1041, 188, 255, 15, 254, 248, 31244, 273, 5340, 1683, 1911, 7317, 368, 1497, 650, 282, 311, 4678, 71, 3134, 324, 254, 254, 14, 4665, 16, 5088, 5701, 16, 14, 3134, 3555, 9865, 248, 11, 398, 16637, 977, 14, 16, 16, 1225, 33791, 12136, 961, 16, 18616, 1002, 899, 977, 643, 272, 7012, 188, 6616, 368, 286, 254, 282, 10516, 248, 368, 324, 624, 16, 1278, 719, 510, 1460, 10031, 1062, 2214, 311, 282, 1311, 2104, 2072, 5028, 321, 369, 561, 872, 15820, 1683, 1330, 14, 1665, 276, 555, 5937, 85, 1865 ]

[ 1, 626, 17159, 944, 327, 625, 11348, 931, 2963, 5494, 8721, 343, 11311, 1491, 6215, 188, 276, 931, 1602, 274, 248, 1115, 310, 4904, 633, 254, 17011, 417, 188, 4793, 715, 32364, 555, 23780, 16, 73, 1219, 328, 555, 8106, 839, 24304, 5885, 2413, 21195, 16, 286, 282, 343, 2102, 343, 10092, 276, 3510, 1012, 2298, 1129, 650, 1012, 248, 188, 7898, 512, 452, 1321, 8074, 2214, 772, 411, 668, 596, 390, 4273, 643, 15057, 596, 561, 1051, 2706, 811, 3830, 45534, 3830, 748, 15554, 282, 17511, 6407, 254, 2809, 324, 16582, 403, 2797, 2602, 663, 274, 324, 14, 4731, 869, 16, 33254, 593, 633, 3695, 2430, 11284, 14, 642, 587, 2063, 843, 407, 6921, 258, 282, 663, 5690, 3885, 16, 10624, 10268, 454, 3759, 324, 3427, 15633, 403, 403, 14, 3830, 14, 311, 587, 248, 353, 465, 628, 1574, 14, 274, 561, 16, 9165, 360, 444, 8292, 1125, 3427, 12815, 324, 276, 274, 254, 1733, 3885, 254, 839, 327, 368, 4975, 345, 286, 368, 311, 20, 928, 626, 254, 706, 282, 555, 327, 368, 1219, 1523, 6407, 2489, 8292, 417, 4282, 286, 615, 347, 390, 5256, 248, 4171, 2048, 14104, 1862, 4171, 29418, 16, 403, 4273, 811, 3184, 2797, 597, 286, 380, 403, 254, 2501, 328, 2033, 7378, 14, 23965, 26877, 2602, 1391, 2159, 3783, 1648, 15181, 2501, 282, 16, 16, 6428, 188, 73, 248, 452, 839, 14, 665, 286, 942, 254, 43, 2282, 14, 671, 729, 328, 1817, 354, 4596, 15867, 713, 2809, 313, 686, 16, 6705, 3989, 274, 254, 452, 836, 2902, 1495, 327, 3781, 327, 4282, 16, 14, 8353, 428, 452, 642, 286, 2666, 1523, 532, 3029, 8815, 16, 23805, 436, 1219, 21456, 913, 311, 351, 1362, 436, 248, 7997, 4094, 274, 254, 4203, 21756, 17243, 15402, 248, 16, 14, 73, 6407, 4205, 24193, 3916, 665, 447, 29635, 494, 4698, 626, 295, 1354, 510, 14, 606, 6407, 3802, 324, 2024, 14, 2779, 2079, 889, 4373, 407, 23780, 668, 188, 16, 5830, 274, 9921, 53, 282, 12224, 263, 327, 2371, 1247, 17689, 2260, 835, 668, 369, 2355, 5256, 248, 596, 748, 6407, 388, 16, 3695, 6177, 311, 16, 272, 865, 1815, 4602, 452, 3364, 19, 7573, 3510, 889, 6407, 19049, 1125, 248, 14377, 14, 22184, 23805, 1037, 16, 310, 7512, 1368, 274, 4936, 3577, 2563, 1305, 10092, 311, 2033, 6407, 14, 282, 327, 347, 327, 1603, 888, 5925, 254, 374, 2449, 13599, 747, 254, 254, 7234, 286, 2342, 1102, 12446, 274, 276, 4171, 16, 1037, 3029, 418, 790, 0, 282, 5130, 985, 282, 310, 772, 6607, 2508, 7919, 434, 6407, 327, 977, 390, 16, 633, 311, 3802, 254, 248, 12224, 593, 29418, 532, 1648, 327, 6851, 286, 4126, 16, 43, 960, 282, 311, 2811, 931, 14, 1544, 16, 30343, 276, 16, 282, 7997, 188, 188, 282, 362, 16, 2063, 772, 3029, 2194, 286, 6125, 16, 4, 11793, 985, 4273, 15813, 254, 311, 0, 457, 4282, 328, 24209, 12387, 276, 865, 9630, 1516, 513, 633, 2079, 4205, 889, 10266, 658, 2749, 274, 743, 1307, 915, 19702, 6215, 24, 8292, 6450, 390, 12495, 4975, 286, 663, 254, 14, 729, 282, 5885, 274, 351, 11330, 311, 14, 5897, 254, 282, 3684, 3783, 327, 324, 785, 570, 254, 274, 39903, 4073, 25, 561, 274, 254, 614, 16, 618, 5630, 16, 573, 3134, 1219, 624, 743, 403, 8575, 476, 282, 9024, 494, 843, 5234, 18214, 2355, 633, 749, 254, 555, 618, 7383, 418, 786, 351, 1044, 16, 2814, 254, 2666, 1339, 417, 751, 254, 327, 14, 254, 254, 785, 22041, 6930, 22070, 254, 4273, 839, 286, 3258, 282, 8272, 282, 3624, 311, 937, 188, 275, 254, 14, 2602, 45534, 276, 274, 321, 14, 16, 2774, 6407, 353, 2133, 282, 14, 10213, 668, 811, 529, 22176, 3699, 85, 931, 324, 1958, 8252, 274, 4248, 668, 476, 282, 33254, 282, 73, 286, 4484, 650, 772, 327, 883, 6945, 338, 311, 641, 403, 417, 276, 3856, 16, 516, 328, 2554, 27087, 282, 16, 452, 561, 4273, 4205, 580, 5130, 3684, 21273, 286, 248, 248, 410, 274, 286, 2072, 6407, 282, 713, 956, 1903, 248, 1885, 937, 282, 353, 3446, 4405, 407, 529, 12471, 2706, 2902, 248, 27495, 16, 830, 14, 7028, 33, 1247, 276, 839, 33, 8791, 390, 3006, 2023, 12224, 327, 747, 282, 16, 24, 913, 2511, 2966, 327, 254, 311, 830, 403, 282, 1307, 6407, 11793, 8758, 254, 17243, 1012, 311, 1924, 14, 669, 825, 254, 2048, 44, 10949, 7234, 997, 963, 2102, 248, 310, 282, 276, 26877, 286, 942, 11903, 417, 324, 8426, 310, 286, 2508, 14, 16, 6267, 1575, 663, 276, 254, 11751, 327, 3915, 353, 274, 368, 248, 6267, 321, 948, 16, 687, 2511, 248, 3981, 1012, 9155, 772, 427, 933, 254, 304, 889, 4445, 5885, 28695, 25441, 4475, 669, 31672, 5309, 18, 4242, 3364, 29201, 742, 4273, 6407, 5968, 596, 16, 17011, 8292, 1797, 3577, 727, 18292, 3248, 6407, 347, 512, 41819, 25441, 272, 663, 16, 2306, 3781, 353, 12570, 276, 276, 1037, 669, 3830, 4242, 248, 2350, 748, 1017, 45534, 610, 282, 2706, 729, 254, 40176, 1038, 3435, 4856, 18, 3860, 2966, 286, 1115, 11425, 942, 10217, 272, 3860, 2355, 188, 971, 36213, 883, 282, 16085, 2119, 4987, 388, 457, 2956, 16, 7028, 310, 2443, 39001, 2115, 348, 476, 4622, 6407, 3570, 33, 3830, 748, 1963, 5156, 272, 254, 327, 14, 4805, 274, 282, 248, 942, 16, 19144, 29228, 14, 8143, 4337, 188, 403, 417, 16, 9311, 274, 274, 360, 4273, 513, 513, 14, 434, 2072, 16, 327, 2462, 286, 2378, 2501, 328, 321, 3409, 403, 4953, 593, 593, 39900, 4171, 7898, 4094, 9234, 23780, 276, 282, 250, 2191, 665, 3830, 31693, 603, 6122, 274, 15813, 19, 19645, 45753, 3856, 22, 747, 25, 10072, 1544, 1012, 956, 436, 39903, 328, 7195, 9073, 3446, 1903, 1564, 22096, 463, 16, 16, 3844, 836, 282, 4975, 615, 274, 40343, 3964, 282, 772, 1612, 286, 282, 1815, 282, 3831, 596, 513, 3621, 22286, 286, 254, 2033, 3446, 368, 3029, 328, 615, 4474, 347, 390, 311, 248, 1316, 274, 9929, 327, 254, 282, 1336, 0, 248, 452, 2554, 2501, 17939, 16, 2038, 5234, 2023, 931, 650, 417, 351, 263, 1782, 23866, 286, 16, 2797, 369, 2075, 10780, 16, 16, 1330, 403, 4731, 5309, 4126, 17522, 8520, 254 ]

[ 1, 1842, 321, 3835, 14, 276, 22189, 6700, 432, 1068, 254, 1090, 695, 4047, 311, 274, 16, 387, 254, 1032, 327, 14, 14, 22, 188, 16, 19, 4095, 888, 22, 2154, 16, 22770, 274, 7504, 44034, 3367, 276, 22, 387, 19657, 663, 321, 15599, 16, 282, 8075, 254, 7504, 22, 19, 338, 254, 4205, 274, 85, 16, 2320, 300, 2057, 254, 20, 4665, 470, 683, 8659, 254, 254, 348, 323, 7504, 713, 3427, 274, 679, 2141, 274, 6901, 19, 17, 510, 374, 9961, 254, 1045, 34, 1841, 603, 40845, 19130, 22, 16, 420, 407, 254, 254, 457, 16, 1294, 1308, 432, 18, 2976, 343, 254, 668, 2347, 1863, 282, 695, 5569, 960, 1045, 1004, 255, 407, 255, 1041, 274, 4798, 374, 188, 35306, 26207, 18, 16, 1525, 17666, 607, 274, 8659, 274, 510, 977, 390, 254, 286, 274, 977, 348, 1076, 8326, 7624, 2367, 1068, 25470, 5362, 1527, 432, 683, 4443, 4443, 274, 16, 343, 4017, 14, 255, 254, 286, 28809, 254, 1842, 2408, 9445, 8425, 2706, 254, 25457, 22189, 7504, 27, 1051, 254, 14, 188, 5666, 4205, 254, 5554, 12768, 417, 390, 374, 322, 188, 85, 255, 16320, 28, 28131, 407, 1076, 22183, 758, 23, 282, 314, 254, 407, 403, 16, 188, 328, 309, 323, 6564, 348, 1525, 3353, 432, 274, 323, 5205, 5618, 1416, 282, 338, 2992, 46965, 643, 417, 274, 495, 510, 8376, 555, 4645, 22189, 1841, 407, 683, 4665, 510, 274, 188, 5362, 254, 36089, 407, 19130, 4171, 25457, 28, 254, 254, 5362, 407, 3453, 1938, 12768, 510, 5666, 12151, 510, 4285, 380, 254, 274, 26496, 276, 323, 387, 282, 470, 3407, 254, 2982, 2483, 22189, 7624, 933, 41968, 11, 587, 14, 254, 274, 14, 4577, 36422, 813, 4665, 274, 311, 22, 188, 775, 665, 188, 7050, 16784, 12768, 1068, 338, 323, 254, 7735, 8701, 16, 85, 9565, 387, 11, 274, 417, 13621, 254, 321, 10894, 888, 3134, 16, 311, 282, 274, 282, 14492, 254, 26986, 254, 417, 1063, 18, 495, 327, 7504, 2449, 5656, 22189, 687, 12768, 19, 254, 587, 14, 2497, 5666, 22736, 10175, 22736, 17068, 13326, 18187, 12768, 6774, 7274, 269, 255, 47524, 496, 390, 25, 188, 276, 16, 9842, 254, 338, 25470, 254, 436, 4598, 18, 286, 274, 254, 1525, 390, 321, 2332, 3899, 254, 254, 1842, 7976, 1842, 6854, 1865, 763, 282, 12768, 10549, 338, 254, 22736, 4681, 22189, 188, 280, 7015, 254, 597, 841, 14, 888, 282, 1063, 407, 24, 12768, 282, 314, 7504, 432, 188, 390, 321, 29392, 43596, 7624, 22, 274, 555, 39052, 2034, 931, 255, 5046, 18, 22189, 668, 254, 407, 16958, 2131, 387, 274, 1938, 22736, 22189, 22736, 9241, 417, 16, 407, 9643, 1057, 282, 4145, 348, 8429, 10123, 254, 321, 749, 25457, 254, 282, 18, 2992, 282, 188, 276, 282, 452, 18, 254, 274, 6135, 3407, 282, 607, 14231, 254, 5666, 22, 22736, 642, 686, 254, 30931, 265, 470, 2918, 390, 4782, 2448, 254, 16, 7504, 269, 89, 254, 254, 2462, 4329, 1042, 22736, 510, 4384, 254, 323, 1129, 915, 274, 1350, 533, 22736, 311, 1525, 6596, 5362, 7504, 324, 643, 274, 5666, 254, 7504, 1525, 5666, 1525, 470, 254, 2448, 4577, 2900, 323, 6901, 10407, 11424, 576, 12151, 274, 7969, 254, 254, 2615, 4236, 775, 254, 407, 1134, 555, 254, 1129, 1527, 407, 23, 3258, 5575, 20, 3277, 407, 10354, 22736, 695, 403, 436, 14989, 1091, 16, 21, 520, 17645, 12368, 1938, 44164, 799, 274, 14, 254, 1949, 22, 7624, 510, 282, 2483, 269, 2186, 18, 2148, 4341, 387, 311, 274, 407, 17645, 390, 6564, 2034, 12796, 254, 1525, 282, 7234, 683, 255, 274, 4236, 14, 14, 282, 3458, 643, 18, 6564, 254, 432, 323, 274, 16, 14, 16, 1460, 5740, 7702, 311, 22189, 22, 1242, 2057, 91, 16, 274, 22, 1839, 254, 266, 18, 22189, 25470, 2982, 4145, 21331, 374, 2154, 188, 323, 188, 4443, 510, 417, 321, 11, 16, 324, 14, 254, 323, 254, 1076, 885, 20, 1533, 327, 311, 1164, 274, 254, 1649, 6700, 188, 24, 255, 16, 22189, 254, 1042, 4744, 282, 7504, 7504, 933, 22703, 254, 14, 85, 671, 671, 819, 188, 2186, 628, 7504, 22736, 286, 663, 3378, 9445, 21, 2449, 254, 248, 695, 407, 254, 380, 470, 7624, 719, 18, 323, 1269, 248, 85, 4603, 324, 573, 6374, 330, 274, 25457, 282, 597, 432, 642, 16, 2802, 254, 16367, 555, 7378, 2497, 27852, 22, 11435, 188, 1842, 7050, 6739, 758, 338, 327, 274, 407, 1533, 338, 2131, 314, 1982, 1525, 17666, 311, 1193, 3367, 695, 16, 16, 17453, 254, 374, 10117, 343, 3407, 274, 2034, 10898, 12768, 4075, 286, 670, 254, 933, 16, 254, 888, 14, 374, 254, 13859, 321, 25470, 22736, 4205, 276, 10407, 274, 933, 254, 338, 3038, 254, 311, 311, 14, 22189, 6215, 5666, 3782, 561, 390, 496, 16, 12768, 311, 321, 254, 17, 276, 282, 25216, 343, 274, 432, 510, 22189, 274, 432, 36089, 254, 417, 22291, 14, 254, 274, 25131, 1041, 2449, 12768, 5666, 16, 14, 85, 2992, 4205, 254, 14, 1546, 2152, 16, 254, 22289, 16, 34518, 900, 274, 2485, 7624, 348, 24, 254, 836, 4645, 282, 188, 22189, 420, 15175, 7732, 25988, 1842, 14, 338, 274, 25457, 4856, 43596, 25847, 1525, 12768, 407, 432, 2992, 338, 274, 9874, 555, 576, 254, 3202, 248, 4355, 1020, 18, 671, 3577, 7624, 254, 10160, 417, 16, 16, 2152, 7406, 3134, 461, 248, 6901, 282, 282, 255, 254, 255, 16, 274, 255, 28809, 188, 10160, 254, 188, 13178, 2374, 603, 555, 254, 324, 643, 22291, 4017, 510, 3014, 254, 2408, 9445, 255, 16, 1568, 407, 254, 343, 22189, 25457, 4665, 4145, 254, 603, 20, 16, 254, 252, 8557, 276, 28828, 407, 6596, 1842, 1068, 3294, 22291, 282, 17036, 1126, 323, 282, 274, 15, 555, 24, 282, 779, 1563, 345, 274, 16, 9445, 274, 2859, 255, 18, 254, 432, 17231, 7274, 254, 7624, 10894, 432, 7504, 188, 20, 407, 254, 12768, 18, 274, 20, 188, 274, 3252, 274, 274, 311, 17666, 323, 328, 3252, 5362, 188, 695, 328, 255, 5615, 3427, 262, 255, 15538, 2114, 19, 328, 24667, 286, 14, 7624, 254, 6527, 4947, 282, 23330, 14, 1068, 19384, 274, 1316, 2615, 254, 954, 2483, 188, 1842, 1042, 20, 25, 758, 5346, 2917, 2228, 4665, 282, 14, 1525, 1063 ]

[ 1, 2660, 618, 1125, 1565, 2943, 476, 14, 274, 21352, 276, 802, 4434, 22493, 4156, 248, 321, 274, 643, 5256, 343, 3044, 3858, 5732, 286, 425, 15, 21241, 11824, 11642, 1247, 495, 327, 254, 2263, 1008, 1125, 9529, 4619, 248, 24331, 774, 407, 369, 15, 188, 248, 274, 867, 11, 25480, 5705, 403, 6111, 15111, 2534, 274, 2374, 6690, 14, 11891, 38101, 0, 3458, 3762, 633, 4126, 533, 286, 18023, 6458, 6813, 1997, 286, 3983, 18956, 915, 9690, 16, 38, 38, 2672, 27330, 785, 24906, 8413, 254, 17816, 12212, 274, 2865, 254, 619, 12131, 3858, 255, 22571, 3206, 671, 248, 248, 839, 533, 274, 7561, 353, 1064, 369, 1444, 830, 16957, 272, 4081, 254, 14, 16, 254, 4619, 0, 6394, 452, 14, 14541, 3564, 368, 4003, 321, 5935, 18, 8433, 14161, 5757, 5937, 314, 1045, 368, 6071, 4715, 7012, 555, 2714, 2778, 8088, 432, 1993, 248, 432, 353, 320, 580, 387, 513, 624, 748, 14, 1708, 590, 254, 353, 348, 188, 286, 274, 321, 311, 9823, 20369, 869, 4359, 1354, 282, 254, 3551, 353, 2365, 254, 16957, 5623, 20549, 432, 2489, 254, 16818, 7952, 276, 10732, 826, 254, 5639, 14, 374, 274, 7012, 4659, 22832, 6355, 15, 3066, 403, 360, 254, 248, 495, 785, 580, 24331, 286, 274, 14, 836, 38, 2057, 835, 254, 1464, 9307, 14, 318, 282, 2534, 2660, 1656, 310, 9690, 407, 3112, 20049, 1663, 314, 596, 452, 188, 1789, 42646, 1853, 1034, 8534, 314, 16, 248, 436, 27330, 34317, 2049, 23961, 348, 2686, 11401, 38, 301, 20689, 9836, 1956, 248, 188, 18743, 14925, 282, 3629, 3066, 2704, 1193, 748, 254, 888, 2056, 21241, 4, 15, 15, 1737, 254, 13555, 1212, 24331, 35357, 37550, 4772, 1116, 12961, 3, 27174, 16, 2572, 4172, 457, 321, 14994, 1110, 743, 188, 615, 354, 16957, 14004, 1362, 436, 3277, 368, 19, 668, 188, 2871, 3970, 2849, 1874, 13360, 282, 254, 6552, 85, 626, 343, 16116, 587, 15, 254, 8737, 274, 6453, 188, 42646, 274, 353, 254, 7374, 944, 4196, 286, 403, 254, 254, 387, 15, 5372, 274, 254, 12910, 4231, 872, 436, 2257, 1081, 3063, 1530, 16, 663, 11401, 606, 6648, 2704, 11, 254, 633, 188, 2704, 17318, 10620, 282, 248, 9125, 188, 327, 5100, 785, 13303, 10808, 16, 42646, 282, 5271, 85, 347, 1921, 276, 188, 2893, 6244, 353, 6822, 997, 596, 311, 10831, 276, 85, 596, 713, 615, 279, 14, 14, 3551, 12915, 7867, 7374, 327, 254, 15910, 324, 835, 293, 10443, 286, 3038, 30735, 9548, 1410, 2211, 16, 772, 282, 436, 387, 533, 16495, 24906, 328, 4434, 1093, 265, 457, 1241, 3538, 12175, 2539, 23173, 13229, 2352, 254, 16, 1515, 1051, 16, 2524, 387, 18, 7952, 274, 20885, 1844, 254, 390, 580, 1157, 282, 14654, 254, 282, 3034, 10307, 387, 13360, 17041, 6582, 603, 1041, 1920, 282, 533, 13229, 7952, 16, 457, 3, 248, 16, 5979, 435, 33, 35, 360, 2019, 650, 2328, 188, 4799, 38, 29, 1224, 27174, 188, 10442, 5686, 353, 835, 33, 16, 7996, 353, 353, 254, 10046, 772, 21241, 14, 188, 6106, 496, 683, 328, 12057, 282, 254, 16, 16, 254, 254, 2464, 188, 1042, 10510, 1450, 436, 282, 1143, 254, 14, 495, 276, 18273, 12509, 1254, 380, 327, 35913, 1830, 4950, 54, 286, 248, 671, 33, 254, 2042, 3655, 2133, 3159, 2151, 188, 2943, 20469, 254, 36465, 5603, 1062, 282, 687, 713, 353, 1062, 387, 576, 16, 276, 1093, 248, 16, 15, 321, 6648, 33, 3809, 1754, 33, 274, 6106, 33, 6453, 14, 1619, 286, 10522, 8404, 274, 27174, 348, 248, 1844, 2471, 327, 457, 658, 324, 1843, 11477, 390, 1364, 324, 10516, 282, 826, 14328, 282, 18802, 248, 18, 43956, 274, 423, 9, 10726, 669, 380, 286, 35477, 282, 274, 939, 87, 12246, 8147, 4325, 282, 4434, 368, 6100, 23, 997, 532, 3657, 495, 587, 9084, 6950, 3758, 14, 9906, 4565, 3956, 16, 276, 368, 3116, 593, 695, 1460, 16, 4589, 1873, 1678, 38, 22595, 14, 3909, 2961, 12339, 25335, 4156, 250, 843, 555, 12676, 24331, 742, 14, 188, 1844, 10072, 1640, 9948, 321, 254, 16, 5887, 3909, 15411, 282, 248, 756, 2809, 16, 14925, 10466, 1530, 311, 28583, 6975, 286, 5097, 7913, 14925, 20971, 5079, 274, 16, 9, 8131, 15, 248, 9657, 1254, 248, 274, 7829, 624, 581, 282, 750, 839, 619, 865, 286, 436, 38, 4360, 2041, 19405, 2433, 5127, 254, 16, 668, 454, 248, 380, 2057, 561, 369, 633, 13243, 298, 327, 561, 23427, 1254, 22493, 9690, 248, 4085, 1125, 188, 248, 16, 15972, 7968, 348, 7968, 387, 11058, 1350, 1205, 254, 279, 561, 1521, 1362, 495, 9118, 274, 476, 2499, 368, 254, 2041, 274, 570, 801, 286, 641, 276, 2778, 254, 24906, 6545, 561, 353, 407, 658, 16, 38, 3858, 310, 14, 4911, 1254, 387, 254, 14, 725, 14, 14960, 848, 2446, 254, 12369, 561, 2537, 6914, 274, 1354, 1938, 248, 368, 308, 1250, 2706, 15, 353, 276, 353, 490, 85, 1494, 254, 1623, 188, 16, 274, 18023, 387, 1631, 330, 29988, 1212, 0, 7374, 327, 254, 31362, 347, 839, 1309, 3684, 22571, 1853, 16, 248, 276, 16, 34394, 254, 254, 6927, 261, 4184, 18531, 276, 1254, 457, 5480, 2704, 310, 16791, 327, 311, 1637, 457, 801, 5440, 1530, 441, 282, 16, 495, 13702, 39592, 587, 34661, 248, 254, 6813, 1678, 14, 563, 452, 12131, 587, 16, 11328, 38, 1694, 314, 22832, 7952, 4236, 11088, 254, 7952, 12578, 286, 324, 1491, 1920, 8404, 619, 743, 2133, 3224, 1037, 343, 8770, 390, 276, 16, 353, 1090, 14, 1921, 3109, 41175, 37241, 961, 11384, 274, 11, 11903, 286, 38, 360, 14, 33, 286, 254, 19615, 13360, 188, 254, 4221, 274, 963, 1002, 18199, 254, 686, 14855, 37566, 6604, 348, 42828, 14, 7952, 25361, 590, 248, 14, 2093, 16, 1740, 10473, 15108, 513, 16, 6950, 15, 328, 286, 1738, 2706, 38, 248, 13356, 4, 11891, 4163, 1213, 360, 407, 38101, 274, 14, 276, 5266, 3530, 26239, 330, 188, 3112, 5732, 4799, 327, 7952, 368, 5427, 274, 1754, 1125, 414, 555, 12131, 6140, 254, 13901, 428, 282, 188, 368, 16, 4184, 457, 276, 1530, 1395, 254, 2514, 14, 276, 4047, 27174, 9484, 1920, 813, 1726, 324, 276, 14, 286, 1130, 274, 671, 16, 10701, 7613, 188, 4378, 2254, 34419, 772, 10341, 2660, 254, 188, 254, 311 ]

[ 1, 12935, 248, 276, 403, 13352, 282, 4434, 403, 2536, 1339, 32237, 2877, 819, 327, 254, 2107, 274, 1125, 1615, 1717, 16, 6313, 13825, 324, 19784, 311, 13558, 11645, 327, 1057, 9300, 321, 4474, 282, 2497, 1126, 282, 642, 1610, 6349, 2877, 2877, 867, 32744, 11728, 731, 368, 8346, 2415, 9005, 13366, 1362, 254, 328, 248, 9249, 587, 254, 3944, 13352, 19658, 2485, 17657, 452, 3364, 587, 9380, 282, 513, 9681, 900, 248, 751, 2049, 16, 2522, 2104, 20860, 933, 1717, 2499, 580, 248, 671, 16, 321, 841, 2107, 596, 274, 248, 254, 13352, 587, 327, 311, 1640, 1129, 4850, 3975, 276, 286, 18138, 328, 4426, 13269, 321, 8663, 360, 12287, 5517, 341, 2133, 16, 1205, 615, 48105, 353, 944, 2135, 5353, 14020, 633, 311, 4564, 3095, 835, 248, 2964, 1544, 248, 807, 368, 274, 321, 16, 14, 390, 328, 25369, 248, 6803, 321, 1717, 16, 286, 3055, 5660, 1479, 2877, 276, 1286, 248, 974, 4184, 311, 16, 6092, 1480, 14, 48105, 3831, 1480, 7624, 254, 5256, 4236, 188, 3095, 8927, 321, 32227, 327, 330, 16, 683, 5194, 188, 286, 286, 633, 403, 512, 1441, 669, 2877, 774, 274, 3134, 1285, 17169, 3217, 512, 282, 8285, 341, 1664, 12987, 30009, 555, 16, 2056, 86, 476, 587, 311, 324, 2023, 380, 1664, 348, 327, 248, 286, 11785, 12453, 6852, 671, 1919, 780, 17, 3994, 19658, 12596, 324, 476, 16, 16, 2320, 2906, 4270, 1728, 3970, 2706, 368, 7362, 9308, 416, 9526, 512, 563, 368, 2877, 434, 2430, 5563, 8183, 2479, 16, 34109, 38, 188, 933, 16, 282, 353, 4250, 286, 5534, 380, 17949, 248, 1368, 933, 353, 16, 14, 403, 24358, 282, 16, 368, 188, 3835, 2758, 5403, 4848, 248, 2485, 3888, 1223, 17869, 25470, 338, 282, 7052, 273, 3688, 633, 274, 16, 8352, 933, 286, 13352, 327, 274, 399, 375, 254, 13352, 1354, 17224, 286, 2353, 286, 276, 16144, 39236, 597, 15, 248, 8372, 3061, 512, 2877, 1062, 6015, 403, 900, 1285, 274, 888, 2023, 5089, 1336, 311, 17740, 4528, 9090, 4502, 273, 9380, 254, 12375, 731, 513, 282, 670, 18921, 3364, 3021, 1648, 282, 3442, 633, 476, 8522, 38355, 188, 368, 532, 1841, 587, 16, 254, 19784, 36250, 248, 274, 751, 13352, 2154, 2877, 1717, 14659, 282, 7538, 5919, 29416, 1844, 1862, 3055, 4244, 311, 14, 1652, 3609, 16, 2104, 33423, 524, 33, 580, 1910, 1074, 9445, 20238, 3095, 3134, 25369, 16, 16, 368, 14, 1640, 587, 9300, 7570, 11668, 1547, 248, 3258, 276, 13732, 6939, 4073, 252, 3219, 13366, 9439, 254, 16, 3290, 24984, 2342, 6690, 1717, 900, 12369, 282, 8667, 14, 1648, 343, 19702, 3417, 16, 343, 26945, 321, 706, 1842, 4674, 3944, 1726, 436, 387, 254, 403, 18716, 254, 1668, 311, 13352, 282, 2352, 13366, 324, 399, 16, 248, 353, 368, 5403, 2139, 17035, 1930, 2877, 434, 188, 432, 1583, 248, 4987, 21693, 8952, 476, 31174, 3854, 633, 276, 248, 43289, 7924, 4987, 254, 2877, 2141, 428, 324, 418, 343, 3265, 2848, 5278, 974, 633, 248, 383, 1062, 568, 19029, 839, 2066, 274, 4426, 476, 248, 4665, 670, 16, 254, 4780, 276, 1640, 633, 286, 2662, 2657, 282, 2109, 1683, 321, 13622, 1683, 596, 748, 311, 5485, 1545, 2875, 17949, 13352, 43953, 248, 12935, 2028, 343, 2966, 368, 12369, 20860, 2634, 327, 5779, 16, 1640, 254, 441, 321, 436, 4137, 7709, 7275, 563, 13477, 15, 834, 452, 3112, 14, 33, 963, 286, 368, 17413, 915, 343, 282, 368, 324, 354, 6564, 3015, 1683, 274, 343, 14, 494, 2008, 7224, 348, 368, 4603, 3061, 1717, 348, 282, 1838, 479, 12453, 11453, 8886, 2152, 633, 633, 248, 15372, 2877, 327, 18, 14, 374, 1391, 311, 13352, 21387, 713, 900, 403, 327, 3027, 282, 1982, 1845, 683, 311, 20860, 29582, 13352, 5130, 1538, 254, 9865, 3936, 2034, 311, 633, 343, 942, 254, 9942, 343, 16, 286, 274, 19354, 643, 248, 961, 2609, 404, 4392, 13511, 390, 2342, 343, 282, 353, 20860, 13352, 16, 1336, 894, 248, 492, 8271, 311, 1438, 273, 14, 282, 403, 2877, 1157, 2877, 1755, 774, 1042, 1052, 8095, 1997, 254, 12369, 3004, 1993, 353, 14, 399, 1205, 25595, 570, 321, 16, 8927, 3944, 570, 27016, 10143, 368, 4598, 327, 4850, 1689, 476, 353, 274, 343, 2075, 274, 9258, 4189, 348, 13352, 2877, 2692, 14, 324, 484, 24, 1845, 188, 665, 254, 900, 321, 345, 286, 25, 188, 286, 374, 276, 17260, 282, 321, 633, 14, 70, 2049, 494, 476, 14, 748, 16, 8325, 826, 6136, 407, 2485, 2575, 18716, 2624, 22, 43953, 276, 14, 14, 17740, 27991, 2624, 14653, 248, 343, 25470, 188, 343, 276, 282, 390, 343, 1408, 2522, 282, 3294, 4061, 13352, 3256, 266, 29008, 1444, 1125, 3563, 282, 1795, 872, 353, 14, 7618, 1062, 5574, 533, 248, 33433, 933, 18921, 248, 45647, 4694, 6015, 17657, 8617, 282, 390, 16, 248, 276, 13352, 324, 399, 476, 1845, 2877, 2473, 5816, 5050, 6319, 869, 3324, 2877, 311, 254, 1026, 14, 276, 12453, 12369, 403, 1717, 70, 1062, 4694, 254, 6136, 2257, 7224, 641, 16, 961, 2877, 2458, 368, 16, 16, 327, 9831, 274, 280, 2115, 2056, 2066, 248, 4214, 2877, 343, 2066, 343, 57, 1664, 4273, 274, 274, 286, 13352, 1286, 4236, 13352, 15, 10542, 865, 1308, 16, 16, 276, 4326, 399, 1707, 254, 14, 650, 399, 254, 16, 311, 16, 16601, 353, 5534, 282, 3468, 5751, 3446, 16, 4678, 282, 254, 19625, 368, 327, 6949, 13171, 403, 328, 587, 5243, 29008, 14906, 2701, 12809, 368, 254, 1102, 1305, 286, 282, 21693, 12369, 2332, 14579, 276, 16, 2615, 12453, 633, 3004, 16, 3292, 248, 18716, 21933, 3483, 4282, 324, 27016, 321, 327, 633, 14, 4382, 368, 731, 2961, 16, 5537, 596, 30934, 669, 3823, 27886, 321, 248, 1129, 14, 254, 1683, 11399, 713, 5537, 286, 18241, 276, 21693, 5114, 434, 16, 368, 872, 811, 254, 1851, 434, 2363, 14, 14, 5913, 18584, 33, 0, 1612, 615, 2877, 2877, 380, 751, 4292, 276, 1125, 15404, 2485, 1683, 311, 25470, 4273, 5100, 1368, 2049, 9931, 2877, 4466, 330, 276, 286, 254, 1985, 16, 22509, 665, 889, 1062, 16, 21693, 16, 16, 642, 403, 742, 18716, 403, 2675, 4686, 348, 380, 2731, 248, 4902, 286, 255, 633, 5403, 670, 16, 5403, 2779, 324, 16, 19784, 561, 18921, 14166, 596, 15581, 1308 ]

[ 1, 29, 13294, 2314, 1970, 45577, 254, 11891, 670, 1903, 368, 242, 2497, 15, 368, 3275, 282, 2731, 276, 16, 343, 668, 272, 513, 324, 293, 1464, 470, 16, 14, 2770, 4436, 2903, 14, 324, 86, 25848, 243, 2584, 13546, 1395, 650, 20780, 188, 18862, 927, 20, 1286, 4250, 772, 597, 403, 1074, 15, 12782, 3275, 671, 3032, 1212, 14774, 470, 281, 2654, 274, 15128, 254, 2914, 14, 479, 18, 14, 6118, 452, 1860, 272, 958, 34215, 27, 254, 1815, 618, 7629, 1316, 616, 772, 3, 21, 276, 20464, 188, 3275, 188, 16, 321, 14, 520, 24, 4533, 532, 324, 452, 248, 4356, 1390, 1427, 587, 670, 2903, 82, 1036, 16, 25569, 4006, 15, 441, 655, 26302, 310, 826, 16, 13376, 282, 5060, 4806, 5224, 8671, 274, 282, 14, 26, 276, 10271, 14, 2433, 1469, 33, 7668, 274, 1083, 22, 457, 3184, 1460, 24186, 16, 14, 254, 1143, 576, 8143, 772, 668, 1508, 6973, 1926, 16, 16, 1091, 1963, 86, 6774, 327, 274, 751, 2706, 7693, 15701, 24817, 3, 16, 2109, 17389, 14, 457, 7702, 11225, 282, 321, 5574, 5058, 1623, 38978, 254, 272, 6656, 327, 27256, 7012, 1395, 407, 1315, 188, 457, 23, 2942, 310, 254, 188, 9097, 2503, 34540, 324, 14, 286, 188, 16, 33, 8139, 293, 1508, 10436, 1691, 772, 4615, 354, 14, 188, 2066, 4792, 22038, 11953, 248, 16, 4002, 407, 441, 15, 286, 311, 9644, 16, 21, 47, 512, 324, 1603, 607, 286, 5157, 46595, 561, 6465, 2943, 6910, 2622, 14, 368, 274, 4325, 26, 441, 403, 353, 13245, 41845, 1582, 324, 16, 742, 16, 1316, 368, 345, 3275, 14, 16484, 47, 1247, 15532, 3035, 18, 272, 22145, 254, 432, 580, 2960, 254, 1664, 555, 380, 19, 254, 6008, 7500, 15774, 4806, 3236, 248, 701, 1004, 5243, 368, 2314, 265, 24, 755, 3502, 286, 476, 1863, 706, 1516, 25817, 14, 43622, 13846, 587, 47582, 2056, 441, 277, 4343, 254, 22505, 0, 188, 276, 276, 633, 310, 403, 3, 286, 327, 16, 0, 1982, 85, 8377, 16, 89, 9633, 633, 16, 14, 24974, 407, 276, 282, 242, 390, 368, 286, 26305, 561, 45935, 11268, 3, 39653, 7106, 3, 618, 243, 276, 715, 16, 520, 1316, 1339, 3678, 35570, 616, 30546, 272, 5574, 1572, 10557, 1982, 282, 343, 343, 30388, 839, 32948, 242, 4250, 368, 328, 593, 1026, 2514, 865, 4311, 618, 63, 1872, 5685, 23, 3425, 633, 8139, 22521, 310, 328, 14, 387, 311, 512, 368, 327, 282, 5384, 48121, 3425, 2893, 22040, 274, 274, 532, 12979, 23, 274, 443, 1897, 20, 324, 30921, 2214, 5710, 188, 3, 3732, 1594, 4566, 26925, 16414, 14, 5346, 11553, 248, 16, 26, 16, 240, 3, 16, 188, 13594, 14, 403, 706, 188, 311, 282, 865, 243, 933, 20824, 42039, 801, 1572, 14750, 4006, 23618, 1612, 28843, 242, 1205, 368, 274, 17406, 286, 18, 3256, 254, 254, 24697, 587, 14036, 2023, 188, 24987, 1822, 368, 7061, 6151, 18002, 3, 1362, 5602, 3, 8373, 19931, 27, 254, 409, 254, 16, 16, 5769, 2353, 1838, 774, 22832, 16, 254, 11174, 13570, 6765, 328, 3108, 368, 242, 4300, 641, 32297, 368, 13326, 286, 29828, 772, 46457, 1316, 888, 500, 3854, 12055, 33813, 650, 2628, 6160, 30695, 5897, 888, 10480, 353, 360, 368, 843, 390, 16, 16, 15842, 2370, 616, 282, 1285, 368, 27707, 16235, 618, 1247, 1015, 248, 4610, 719, 44104, 327, 328, 254, 643, 24087, 607, 328, 16, 497, 597, 17837, 14, 188, 3275, 2382, 1286, 633, 37270, 633, 328, 8139, 580, 1130, 327, 1564, 436, 3, 830, 390, 4351, 6211, 16, 802, 310, 1963, 11335, 188, 1116, 286, 1327, 2960, 9550, 85, 1982, 576, 390, 476, 2862, 434, 20464, 9517, 10374, 561, 85, 1782, 457, 3046, 351, 10648, 3148, 568, 6380, 248, 311, 668, 14, 452, 848, 321, 434, 33, 15465, 311, 16790, 19, 254, 310, 188, 368, 360, 47, 16, 272, 16418, 772, 668, 272, 286, 2960, 497, 14, 671, 3706, 387, 18, 18, 2177, 36048, 16, 14, 743, 243, 4806, 7456, 436, 248, 282, 248, 188, 1362, 6611, 254, 479, 3783, 242, 42039, 670, 670, 8980, 188, 360, 3273, 310, 801, 9734, 457, 6211, 2066, 1090, 5246, 586, 2117, 6706, 7528, 14, 512, 265, 324, 34, 16, 616, 252, 476, 390, 14, 369, 2424, 254, 330, 272, 3055, 17661, 8687, 16, 616, 248, 669, 47, 14, 274, 282, 1090, 407, 4800, 14, 9320, 23, 16, 269, 4672, 16, 343, 7089, 282, 10476, 188, 1305, 452, 188, 6394, 16, 432, 28575, 407, 624, 16, 369, 668, 338, 3612, 616, 2803, 616, 321, 3, 248, 1545, 2367, 2432, 16, 1577, 22794, 403, 512, 367, 33, 11891, 436, 0, 368, 1754, 24463, 1141, 9045, 952, 1041, 855, 251, 512, 440, 286, 240, 512, 321, 1501, 387, 254, 839, 14, 4356, 530, 45935, 274, 7624, 772, 1183, 274, 4607, 5837, 274, 188, 1274, 4436, 16, 71, 188, 0, 16, 258, 1074, 465, 18493, 543, 12934, 274, 32948, 6061, 839, 839, 1469, 8547, 7068, 495, 16654, 1525, 5646, 679, 16, 1116, 26, 343, 266, 32214, 2982, 4136, 596, 1116, 36903, 16, 254, 836, 14, 188, 3, 387, 6564, 1205, 4356, 3585, 282, 643, 9097, 8011, 8307, 321, 16, 20985, 188, 1874, 10027, 12467, 6140, 310, 9832, 14, 1130, 6380, 343, 713, 7090, 671, 5278, 22, 747, 188, 3751, 22145, 729, 1336, 15910, 2265, 33, 441, 2942, 16, 367, 592, 35, 7560, 403, 618, 706, 4731, 44825, 10711, 772, 19625, 4474, 4676, 1444, 14, 71, 9199, 826, 16, 403, 387, 470, 254, 2336, 45578, 4248, 3, 4436, 286, 1385, 310, 4923, 1963, 15384, 16, 3407, 248, 555, 436, 28775, 22145, 38113, 14, 729, 14689, 1594, 282, 1648, 276, 561, 0, 977, 4945, 46436, 14, 436, 16, 16, 1212, 665, 2449, 7295, 282, 37286, 4981, 428, 47, 731, 254, 533, 324, 4731, 7250, 254, 2320, 1460, 353, 378, 6564, 10969, 34, 3275, 16, 5926, 587, 28367, 27003, 474, 22186, 282, 269, 369, 0, 276, 1125, 27, 16, 5646, 23, 1011, 21915, 1924, 8139, 0, 5060, 2705, 2227, 18333, 299, 282, 1286, 188, 2514, 34499, 277, 2374, 679, 403, 311, 26514, 2320, 274, 4130, 248, 369, 3425, 633, 7172, 35452, 2527, 1041, 587, 826, 22038, 32948, 8486, 274, 963, 8139, 28775, 432, 383, 321, 311, 20738, 5925, 11107, 3, 328, 410 ]

[ 1, 434, 14, 353, 254, 26960, 12676, 14, 40, 35497, 310, 254, 34, 1330, 16, 324, 282, 33, 552, 5677, 7744, 10266, 1810, 188, 188, 2185, 188, 387, 416, 592, 1848, 23, 3853, 4, 8556, 587, 2377, 16, 510, 188, 1837, 390, 494, 310, 20411, 615, 310, 4977, 16, 16, 282, 24400, 22521, 5293, 434, 834, 17739, 1312, 618, 283, 8550, 5293, 9845, 68, 385, 274, 2185, 867, 747, 188, 286, 14099, 5167, 1530, 14414, 836, 14, 282, 16, 830, 9515, 8223, 41446, 273, 6086, 1026, 2007, 18, 2836, 27800, 272, 4609, 343, 321, 3612, 14, 282, 848, 618, 484, 14, 1464, 15666, 5293, 403, 23947, 625, 1843, 282, 403, 6429, 747, 16, 282, 3492, 30314, 367, 626, 15910, 4356, 368, 255, 13201, 368, 16, 5228, 32599, 6656, 1102, 8223, 618, 1638, 713, 457, 85, 310, 407, 19, 1594, 188, 368, 835, 23537, 3672, 633, 274, 6086, 17321, 13201, 2023, 10476, 14909, 46752, 7829, 14, 34939, 22291, 10494, 2499, 1305, 513, 1530, 327, 20197, 2871, 30259, 532, 5554, 688, 3646, 10355, 1110, 2836, 8556, 3409, 276, 14, 2976, 2057, 40981, 8086, 282, 2780, 248, 286, 688, 20, 282, 663, 2674, 2836, 274, 3015, 432, 6179, 353, 16, 14, 457, 1572, 625, 596, 324, 7560, 2448, 256, 276, 7699, 276, 2156, 16, 9710, 16, 9901, 12745, 285, 188, 5626, 40, 1041, 286, 3699, 713, 1782, 276, 22834, 1773, 17740, 387, 18, 507, 248, 6395, 763, 16, 12136, 9938, 1663, 22834, 33, 16, 801, 4813, 0, 4412, 21505, 3233, 16, 286, 14, 310, 348, 323, 5390, 14, 670, 29364, 4503, 1907, 29424, 282, 651, 3793, 2289, 20139, 16, 368, 713, 4824, 7934, 13782, 2244, 272, 9403, 15, 8530, 29867, 597, 14, 27, 1017, 2288, 4867, 40385, 16, 2514, 1663, 5419, 1125, 15530, 16, 5113, 40, 254, 587, 368, 933, 26382, 8745, 299, 14, 603, 1789, 2609, 6349, 403, 774, 4948, 530, 15, 4577, 9938, 14, 274, 368, 731, 282, 2515, 3461, 286, 1305, 1782, 603, 555, 309, 4250, 826, 188, 310, 633, 36222, 8754, 276, 10476, 16, 457, 301, 839, 1530, 3116, 387, 256, 18, 276, 3, 7876, 324, 618, 2241, 254, 374, 11673, 188, 863, 274, 9884, 668, 913, 11354, 343, 3238, 25, 2144, 11287, 3432, 311, 248, 2912, 321, 1193, 1530, 3783, 416, 1499, 1042, 628, 23017, 254, 532, 310, 944, 343, 274, 327, 248, 6845, 1842, 1275, 31800, 7666, 6357, 14119, 11155, 324, 4532, 668, 24269, 23497, 1862, 417, 1315, 43505, 327, 597, 452, 254, 35497, 6299, 441, 2039, 286, 46649, 650, 1797, 248, 1242, 91, 32130, 311, 4745, 688, 274, 663, 14, 86, 11733, 441, 188, 495, 7390, 1782, 276, 618, 819, 625, 368, 618, 3, 942, 377, 1212, 40, 16, 8388, 276, 14, 1899, 328, 248, 272, 813, 16714, 14074, 14, 248, 5705, 4574, 1499, 9901, 390, 378, 274, 12979, 2280, 16, 327, 862, 321, 4977, 37808, 14, 338, 1782, 618, 889, 758, 254, 353, 348, 514, 188, 310, 299, 286, 512, 9764, 1996, 327, 772, 23308, 2377, 254, 2042, 8611, 12317, 14, 282, 5390, 12107, 254, 1862, 432, 18796, 18197, 16, 6673, 276, 14531, 13201, 357, 8555, 14763, 944, 343, 669, 1328, 40627, 6132, 8349, 1242, 2332, 188, 188, 843, 10697, 2000, 670, 1797, 188, 286, 801, 27800, 16, 637, 669, 618, 16, 286, 254, 9328, 338, 5243, 14, 14, 11601, 22, 683, 1062, 254, 286, 22111, 403, 368, 21723, 9690, 587, 274, 254, 9710, 311, 282, 8754, 618, 615, 10650, 2377, 2325, 4285, 11, 286, 16, 561, 324, 2996, 20197, 1499, 10314, 434, 11, 254, 615, 2374, 254, 276, 563, 7338, 2065, 13891, 274, 41532, 91, 21143, 254, 14, 1268, 276, 23, 1354, 2196, 811, 23497, 23, 16, 14417, 3577, 2377, 839, 282, 14732, 282, 278, 615, 942, 510, 286, 14, 11982, 5219, 772, 3836, 35843, 1432, 2209, 3148, 368, 877, 28262, 14, 20062, 7156, 11995, 9710, 4500, 669, 11673, 15734, 12182, 286, 4356, 747, 348, 407, 1499, 3928, 368, 596, 248, 576, 2231, 2414, 889, 9847, 16, 310, 5049, 4528, 686, 14, 368, 14390, 16, 20813, 14, 561, 494, 772, 17727, 643, 14732, 669, 1354, 6546, 2984, 839, 21808, 25044, 286, 286, 88, 6928, 14, 663, 580, 282, 1143, 16, 314, 311, 16, 793, 4348, 314, 286, 13356, 314, 327, 1952, 322, 33010, 1602, 43, 772, 1903, 16534, 368, 188, 3468, 839, 321, 532, 16, 327, 5862, 747, 14430, 14, 282, 20999, 307, 286, 618, 368, 14, 282, 13201, 12478, 14, 811, 19364, 2237, 2185, 563, 327, 758, 1354, 7744, 282, 679, 8061, 1038, 3316, 23308, 390, 16, 751, 22124, 22653, 1460, 2304, 286, 248, 25830, 14, 4816, 36337, 380, 1767, 371, 16743, 14, 2377, 27800, 670, 2113, 8364, 387, 248, 407, 248, 24664, 188, 15425, 254, 282, 85, 686, 3571, 476, 380, 306, 476, 33, 368, 432, 12445, 310, 14, 343, 14, 8350, 311, 16, 282, 387, 422, 283, 14, 14430, 14909, 311, 248, 8856, 0, 615, 274, 286, 1431, 403, 282, 473, 248, 282, 17831, 3061, 1842, 1952, 11222, 343, 1242, 811, 627, 513, 14, 252, 403, 18, 15, 0, 1247, 633, 650, 5311, 188, 1495, 286, 328, 5897, 324, 18, 1691, 1157, 23, 2185, 1996, 327, 9921, 513, 684, 1033, 1770, 248, 11535, 282, 1717, 2286, 6329, 4349, 274, 670, 10864, 618, 687, 6363, 476, 1827, 7065, 286, 16, 1922, 5592, 40659, 6681, 869, 70, 3944, 2960, 8754, 9334, 1842, 958, 4745, 407, 254, 14, 403, 17, 311, 9, 8329, 2218, 7213, 14, 434, 5219, 2185, 33, 6341, 248, 663, 321, 756, 747, 71, 2703, 30175, 9901, 18715, 188, 1326, 274, 29101, 1293, 633, 3408, 2257, 841, 4558, 597, 274, 457, 328, 6890, 390, 347, 24658, 24358, 24951, 4360, 254, 434, 1619, 16, 5723, 1843, 555, 580, 10494, 434, 12107, 394, 2357, 4658, 14, 40364, 2152, 14, 3, 2185, 18, 16, 327, 2636, 42743, 779, 9, 16, 16, 310, 14, 276, 11733, 16, 5603, 5095, 573, 13814, 35497, 14, 374, 1038, 772, 10062, 1385, 16140, 310, 432, 1469, 747, 282, 368, 14, 37, 1286, 16, 8754, 16, 9884, 830, 14, 46752, 310, 2961, 252, 286, 1125, 4528, 4349, 476, 1141, 2883, 282, 282, 5603, 1773, 2079, 85, 368, 13814, 1212, 28262, 1594, 3294, 1817, 286, 960, 5066, 311, 6349, 324, 713, 14074, 7250, 751, 5555 ]

[ 1, 5256, 15, 596, 1683, 481, 1662, 16, 1286, 1982, 40742, 5332, 310, 780, 7644, 603, 2950, 274, 16, 865, 441, 650, 25302, 8465, 683, 15, 27059, 8821, 274, 53, 328, 10179, 428, 1707, 348, 15, 8832, 32177, 3699, 21776, 5114, 596, 715, 756, 2628, 14798, 330, 3536, 668, 349, 2932, 16, 532, 5510, 688, 933, 447, 1183, 2875, 3452, 596, 16, 4626, 22633, 19, 5510, 16, 274, 2563, 663, 1691, 254, 22559, 18, 16722, 9391, 1547, 310, 327, 276, 1577, 276, 12053, 742, 36368, 2380, 729, 188, 496, 8583, 248, 17816, 343, 274, 5858, 1268, 18843, 360, 21857, 633, 869, 20585, 3673, 282, 19362, 2572, 14, 1521, 321, 1521, 14, 2380, 3124, 2030, 2379, 14, 311, 3124, 7723, 310, 16, 8832, 4959, 642, 3981, 2065, 8986, 8758, 10413, 28478, 311, 24541, 2705, 1354, 348, 8542, 403, 2942, 254, 282, 12258, 188, 9622, 1525, 7434, 729, 14, 1596, 7659, 22633, 16, 5510, 650, 276, 686, 2504, 14, 311, 11870, 274, 73, 633, 5475, 16, 663, 403, 310, 1528, 753, 944, 18, 10794, 12796, 663, 348, 1594, 497, 2214, 14, 13757, 310, 286, 20843, 248, 33516, 9845, 9863, 368, 1689, 2096, 16, 14, 1528, 2065, 327, 311, 9496, 84, 6397, 1952, 1057, 8832, 27940, 1385, 8288, 417, 4590, 45325, 772, 4264, 26210, 28, 274, 286, 248, 9899, 407, 546, 25452, 321, 963, 2066, 286, 282, 282, 3994, 3, 14, 963, 368, 16, 5207, 14, 327, 286, 324, 254, 457, 452, 633, 15, 2380, 8514, 390, 1997, 25355, 26210, 5510, 1026, 330, 403, 633, 360, 46004, 642, 4356, 286, 248, 3064, 1045, 14, 327, 7434, 254, 286, 642, 39062, 3972, 3177, 1837, 26026, 786, 3224, 14, 286, 2903, 21247, 12856, 25355, 1845, 328, 447, 695, 11068, 321, 618, 16, 642, 9515, 9515, 286, 10456, 282, 434, 276, 0, 650, 2490, 2784, 24388, 14, 2380, 573, 9496, 16, 2380, 811, 276, 659, 625, 961, 3452, 38984, 14625, 1683, 14, 25469, 2807, 254, 14, 348, 254, 368, 14414, 22, 310, 9515, 380, 9515, 368, 343, 254, 328, 1232, 44791, 417, 15, 14, 9515, 20366, 1015, 747, 15, 4782, 188, 254, 475, 428, 3095, 8069, 1471, 785, 16, 16, 311, 772, 21, 274, 4343, 2003, 388, 2977, 663, 390, 14, 14, 33317, 16, 282, 6010, 2380, 615, 33529, 3746, 3497, 188, 4959, 532, 16, 4317, 407, 274, 15, 8325, 33645, 274, 16, 7609, 4356, 872, 4816, 1068, 14, 324, 14, 258, 16, 16, 18616, 12053, 21051, 8514, 1738, 274, 452, 5202, 282, 2504, 22558, 314, 774, 23, 9845, 9329, 15, 974, 35888, 274, 46183, 8164, 687, 1770, 3192, 353, 5058, 360, 8020, 286, 327, 944, 10075, 809, 1093, 248, 8514, 22559, 355, 1525, 11798, 282, 2130, 188, 14, 1456, 587, 615, 407, 348, 10827, 659, 254, 254, 2227, 683, 254, 33250, 360, 8279, 3234, 14, 2380, 33493, 668, 274, 4612, 9421, 403, 403, 729, 5041, 188, 5897, 1141, 2279, 37185, 272, 78, 10427, 254, 324, 772, 3054, 274, 23068, 254, 368, 2626, 2411, 9892, 3405, 15, 9928, 618, 1842, 1521, 324, 3609, 15, 73, 1038, 274, 839, 763, 36368, 321, 513, 388, 756, 1183, 374, 10087, 15, 14414, 10795, 282, 818, 8667, 2903, 1707, 2875, 324, 898, 1521, 441, 580, 2028, 9261, 286, 17364, 18, 18150, 24919, 1521, 36368, 6010, 36368, 5202, 36368, 1055, 7922, 671, 22, 16130, 36368, 73, 15, 452, 2504, 2380, 17126, 27940, 706, 3258, 1931, 944, 4464, 360, 5587, 16, 14168, 28143, 12940, 7995, 285, 3551, 188, 286, 328, 3064, 14, 16, 9845, 9515, 615, 1528, 330, 286, 580, 19911, 2860, 16, 7786, 14, 14, 434, 16, 497, 22, 512, 282, 10344, 3831, 14, 713, 3894, 625, 671, 324, 476, 835, 286, 835, 8832, 516, 2380, 17, 10427, 282, 324, 7521, 1312, 1707, 16, 1252, 44791, 2961, 580, 593, 311, 10724, 7434, 266, 14, 688, 274, 3699, 248, 11773, 10075, 348, 37954, 8325, 264, 2497, 642, 7434, 2289, 751, 12053, 36368, 403, 274, 2533, 785, 16, 2380, 22559, 9515, 14, 387, 14, 276, 1186, 2008, 327, 9391, 476, 670, 1362, 81, 286, 347, 14355, 16, 254, 36368, 417, 512, 328, 16159, 276, 276, 476, 17194, 16, 1362, 9515, 310, 85, 670, 14, 188, 3801, 324, 20166, 387, 2099, 580, 0, 625, 748, 5332, 4903, 254, 4, 286, 6437, 17266, 338, 2118, 3065, 4731, 1931, 5787, 343, 772, 1982, 1521, 2411, 16, 16, 254, 273, 5298, 1074, 4903, 1707, 3064, 16, 423, 36368, 286, 248, 403, 276, 813, 8227, 321, 5577, 33, 3801, 580, 282, 286, 254, 31801, 9515, 8756, 327, 11892, 7056, 512, 12872, 4181, 6021, 343, 7644, 28928, 10413, 3853, 2489, 729, 5235, 9515, 497, 327, 45177, 12096, 282, 4602, 14, 14, 327, 8279, 343, 360, 305, 274, 36368, 4541, 368, 417, 188, 626, 286, 729, 995, 1058, 14, 1362, 14, 1021, 1141, 5202, 12882, 2966, 16, 4801, 580, 615, 596, 16, 3637, 286, 248, 839, 713, 16, 713, 286, 254, 580, 274, 4782, 311, 12, 1841, 3925, 452, 587, 188, 276, 9261, 2096, 254, 403, 2591, 39913, 368, 390, 390, 580, 343, 9515, 3598, 19, 1919, 15380, 5510, 470, 1689, 268, 403, 512, 1316, 14, 28928, 3921, 282, 417, 1847, 669, 274, 398, 618, 4782, 1051, 587, 756, 368, 688, 46707, 274, 14, 18150, 390, 286, 368, 2056, 16, 809, 33290, 16, 1824, 14, 248, 2645, 14, 10413, 12396, 9564, 3051, 274, 348, 282, 274, 9515, 254, 2743, 19, 615, 36561, 73, 282, 188, 642, 12258, 14, 4950, 497, 819, 19911, 14, 2380, 1336, 46183, 633, 73, 390, 321, 1817, 2499, 9353, 1547, 683, 633, 188, 254, 772, 368, 276, 29, 14, 282, 14, 15, 8435, 1740, 19, 254, 1528, 254, 310, 546, 15359, 1444, 26863, 747, 15, 11835, 8997, 29946, 11859, 16, 254, 9515, 3544, 28928, 321, 428, 1252, 2986, 4357, 3095, 348, 374, 5153, 16, 944, 9282, 16, 933, 1525, 21017, 254, 2961, 615, 2986, 4959, 2996, 14, 22633, 343, 1464, 14, 286, 12740, 81, 3360, 497, 1064, 274, 20, 587, 11630, 33645, 1129, 663, 348, 16, 428, 373, 1303, 18843, 16, 959, 1090, 5510, 6000, 19, 5281, 8980, 3435, 596, 801, 9496, 30424, 15, 254, 289, 15722, 5685, 45879, 933, 254, 276, 2299, 496, 286, 4829, 513, 286, 16, 9452, 36368, 10164, 311, 274, 14, 35081, 6979, 615, 254, 360 ]

[ 1, 286, 633, 3184, 417, 91, 327, 13123, 188, 25302, 5628, 596, 3997, 348, 434, 311, 17893, 3, 6901, 479, 286, 310, 311, 2893, 532, 428, 5940, 1012, 1040, 310, 16, 2169, 248, 1042, 286, 1223, 13365, 1096, 188, 889, 3396, 7089, 16, 16, 16637, 2231, 311, 444, 16, 254, 597, 254, 16, 282, 756, 618, 254, 16, 188, 5395, 276, 14, 3462, 428, 16, 1062, 960, 4349, 5419, 2893, 1268, 1382, 343, 353, 276, 353, 16, 16902, 282, 1480, 650, 3448, 188, 625, 688, 1464, 11460, 1480, 4800, 434, 301, 625, 2545, 43, 282, 1212, 327, 248, 16902, 593, 11146, 188, 34660, 40140, 282, 731, 436, 3352, 16902, 8314, 311, 1042, 282, 2314, 16646, 1002, 5419, 2501, 14938, 683, 624, 3, 254, 889, 274, 282, 286, 1090, 16, 3026, 1503, 11460, 2560, 324, 16, 311, 311, 323, 310, 16031, 1129, 16, 3372, 476, 872, 17266, 403, 1508, 30202, 345, 826, 21886, 1797, 1830, 756, 4832, 16, 254, 1062, 2169, 282, 348, 29582, 188, 731, 310, 1575, 254, 248, 2539, 353, 3751, 348, 597, 254, 513, 18, 597, 188, 282, 43, 5441, 307, 254, 670, 16, 9619, 274, 188, 57, 188, 17893, 46, 14, 8298, 5395, 12136, 254, 3448, 6890, 3026, 1952, 1516, 27500, 324, 10512, 188, 79, 3989, 1612, 643, 3351, 310, 3367, 188, 91, 4558, 1208, 374, 1157, 324, 408, 188, 618, 1028, 6901, 403, 1640, 1845, 1519, 188, 3026, 353, 960, 1362, 1963, 353, 5395, 2545, 188, 327, 452, 10982, 1062, 14965, 5395, 1845, 900, 286, 6939, 625, 452, 188, 1853, 1125, 452, 188, 5419, 17284, 324, 16902, 4434, 14, 11673, 4434, 324, 1062, 274, 25441, 282, 580, 7119, 1181, 505, 254, 8439, 353, 2075, 7345, 3448, 296, 2427, 960, 16902, 14, 282, 3462, 6939, 188, 276, 695, 254, 44836, 1656, 772, 428, 1252, 16, 4866, 436, 597, 1773, 5395, 40679, 2893, 963, 188, 4806, 3, 327, 1594, 282, 748, 11295, 963, 324, 3195, 254, 452, 13365, 1830, 607, 963, 188, 434, 872, 638, 3732, 254, 8631, 683, 1034, 7626, 254, 286, 1656, 747, 1582, 497, 668, 9575, 9995, 188, 447, 8298, 16, 3184, 1033, 1516, 274, 353, 3026, 343, 46848, 12136, 16902, 276, 436, 633, 32985, 444, 22779, 5395, 13488, 9615, 286, 283, 963, 348, 311, 188, 353, 533, 286, 434, 669, 3032, 1062, 889, 16, 1090, 3629, 272, 310, 282, 900, 254, 310, 16, 1042, 2545, 274, 16031, 785, 286, 248, 1141, 13253, 28204, 254, 963, 282, 23617, 3217, 3082, 307, 35853, 597, 532, 16, 353, 1862, 25014, 1480, 353, 16, 963, 46, 1637, 1205, 2666, 1516, 10512, 8270, 1012, 3462, 327, 188, 1028, 942, 436, 248, 1090, 625, 299, 3198, 353, 607, 17555, 3, 282, 2501, 2169, 2427, 1830, 282, 16852, 14, 1252, 188, 16, 46, 1830, 1074, 747, 366, 695, 3837, 282, 16, 13048, 3026, 889, 286, 188, 32985, 3, 4658, 4286, 16, 960, 254, 4658, 33611, 16, 11652, 3006, 14, 650, 1640, 324, 11824, 428, 16, 828, 785, 1640, 1102, 561, 286, 3956, 643, 26026, 16902, 16, 188, 16031, 14, 34733, 428, 282, 6321, 16, 14409, 353, 27487, 16, 16, 772, 324, 3462, 5395, 3655, 11081, 248, 43, 763, 963, 274, 274, 328, 3, 597, 2941, 597, 369, 16, 286, 310, 1395, 4528, 13123, 618, 19701, 188, 5395, 46, 688, 641, 16, 188, 607, 2427, 5419, 13684, 188, 1090, 2148, 428, 43247, 513, 15179, 2893, 747, 403, 642, 683, 324, 348, 353, 643, 286, 254, 597, 1480, 512, 3826, 3622, 597, 14, 310, 715, 11460, 2519, 16, 42902, 14409, 1830, 5419, 16902, 641, 7908, 417, 532, 338, 282, 3448, 254, 14430, 2545, 16902, 14, 1480, 282, 324, 811, 348, 2489, 33090, 1845, 3116, 16031, 436, 16, 6939, 1181, 625, 479, 16902, 13253, 452, 7461, 14, 11006, 9394, 29582, 4868, 2546, 444, 16, 282, 310, 1247, 963, 286, 2169, 683, 747, 274, 403, 495, 321, 286, 900, 1157, 963, 16, 310, 5058, 5395, 16, 254, 15404, 3, 343, 16637, 31921, 16, 916, 254, 2893, 16, 324, 188, 16, 960, 618, 3, 353, 14, 2378, 9378, 5083, 311, 1252, 1090, 900, 603, 963, 8346, 348, 2378, 254, 889, 3373, 2169, 20508, 407, 900, 2545, 188, 248, 1012, 33470, 16902, 310, 1575, 282, 31625, 1773, 17893, 11460, 665, 324, 13253, 19724, 642, 747, 310, 872, 282, 310, 13253, 13644, 731, 282, 327, 16, 4658, 188, 889, 706, 11320, 3448, 254, 5103, 276, 1364, 1090, 22329, 188, 3184, 3692, 254, 348, 78, 31625, 481, 16, 16633, 900, 252, 16, 7924, 889, 2626, 25812, 625, 310, 663, 311, 599, 12420, 327, 286, 254, 276, 6949, 16, 42463, 444, 8444, 13253, 811, 963, 597, 942, 1294, 254, 36562, 706, 310, 6154, 16, 731, 510, 254, 21750, 1623, 14, 1480, 5395, 5419, 343, 1845, 597, 31625, 1773, 16, 597, 3448, 16, 1002, 7786, 14, 593, 1209, 1830, 1038, 5441, 15433, 324, 2046, 772, 642, 16, 311, 2225, 16, 14, 434, 286, 597, 16, 642, 3770, 286, 1008, 16, 963, 7683, 16, 16, 5723, 8033, 2332, 434, 6250, 2427, 974, 618, 3732, 16, 6734, 16, 16, 597, 5395, 1062, 665, 1640, 1247, 1837, 188, 286, 330, 727, 13253, 1129, 9556, 1181, 607, 324, 633, 7156, 348, 841, 2666, 353, 1090, 16, 6015, 2169, 28150, 348, 353, 436, 479, 254, 1141, 408, 16902, 5909, 15554, 188, 3448, 327, 353, 311, 597, 188, 343, 5167, 900, 15179, 311, 188, 7358, 10949, 706, 282, 311, 25812, 14409, 282, 5935, 16902, 286, 248, 19724, 1830, 13123, 6092, 14430, 963, 3655, 596, 311, 43, 5419, 1090, 671, 687, 650, 2489, 1845, 314, 3, 624, 353, 276, 328, 27302, 16902, 596, 618, 188, 1012, 286, 3248, 254, 17266, 310, 1637, 5395, 16031, 3, 618, 327, 16, 1830, 35595, 286, 16, 16902, 1755, 11559, 16637, 1125, 1116, 4414, 188, 731, 14, 4646, 324, 12420, 10431, 1830, 444, 839, 16, 282, 1041, 3026, 353, 353, 369, 2626, 900, 282, 1797, 618, 16549, 16902, 248, 16, 353, 444, 12991, 747, 348, 16, 1247, 1038, 282, 46, 3462, 2156, 368, 254, 324, 14, 593, 1223, 282, 747, 46405, 4349, 2169, 17236, 1038, 16031, 34560, 713, 43, 16637, 16, 7786, 343, 1213, 38682, 348, 942, 11673, 625, 1773, 311, 254, 7754, 282, 282, 324, 16, 16, 597, 276, 254, 13123, 11460, 16, 2169, 5395, 16 ]

[ 1, 2893, 633, 282, 1789, 452, 1578, 417, 8864, 310, 353, 5632, 1872, 1842, 2367, 8555, 671, 457, 254, 479, 670, 16, 310, 16, 775, 1585, 328, 3498, 763, 70, 1668, 5952, 310, 13109, 286, 513, 387, 2152, 11176, 5103, 1838, 1129, 4929, 1012, 624, 1129, 417, 282, 286, 14, 688, 403, 248, 3818, 1062, 254, 841, 307, 16, 286, 16, 2687, 763, 852, 749, 1582, 457, 593, 321, 5803, 839, 17, 839, 353, 321, 16, 2035, 286, 248, 785, 747, 748, 2746, 16, 314, 311, 16, 1837, 3837, 79, 695, 286, 16, 274, 327, 751, 360, 16, 16, 254, 327, 457, 869, 512, 872, 188, 15, 286, 977, 403, 1678, 670, 1652, 20257, 79, 24848, 561, 1362, 497, 282, 1612, 307, 310, 671, 17, 1842, 457, 10187, 1033, 282, 663, 2942, 618, 642, 282, 670, 248, 2934, 2314, 785, 1872, 14, 512, 2342, 476, 2784, 43, 19551, 1034, 2328, 6477, 597, 670, 16491, 324, 25381, 286, 1268, 310, 7892, 12061, 671, 443, 615, 616, 593, 13454, 282, 310, 457, 282, 618, 276, 25381, 254, 888, 310, 476, 457, 1863, 353, 13109, 457, 1034, 669, 28048, 35778, 324, 310, 443, 387, 765, 457, 1851, 310, 3240, 457, 254, 495, 2315, 86, 683, 618, 4855, 417, 1594, 311, 188, 2687, 4549, 1842, 811, 5798, 10620, 17, 7100, 9073, 671, 2746, 3, 4868, 310, 1664, 310, 282, 2057, 343, 7856, 274, 10916, 26990, 3, 1395, 360, 1668, 343, 624, 254, 6477, 6817, 188, 1862, 1444, 286, 254, 747, 3002, 310, 324, 24880, 5999, 387, 248, 781, 307, 5894, 479, 457, 348, 2902, 3957, 314, 188, 580, 3970, 2778, 1872, 785, 1033, 4701, 310, 417, 43, 671, 2151, 2079, 43117, 497, 274, 2666, 343, 4313, 248, 14311, 22, 5769, 248, 57, 248, 403, 618, 1952, 310, 286, 945, 286, 248, 311, 12456, 188, 310, 1002, 254, 457, 403, 327, 286, 307, 286, 307, 276, 188, 597, 2101, 1842, 1623, 593, 7110, 7892, 852, 11715, 369, 274, 310, 452, 188, 248, 3826, 843, 1081, 369, 2524, 1062, 670, 890, 5058, 188, 295, 1919, 16, 14414, 1470, 310, 387, 3061, 286, 310, 310, 561, 254, 248, 4188, 321, 479, 348, 1450, 353, 980, 670, 731, 1603, 2891, 282, 790, 16, 248, 282, 2241, 580, 16, 719, 1031, 628, 618, 4087, 1619, 624, 5095, 671, 321, 254, 27, 254, 872, 668, 14, 865, 2367, 2378, 3054, 248, 417, 4393, 3086, 3032, 324, 24975, 18522, 22643, 254, 3355, 1241, 11, 1401, 2086, 4785, 348, 343, 811, 785, 1090, 16, 30748, 3056, 282, 22055, 286, 2286, 6612, 2065, 3383, 618, 596, 417, 310, 3437, 254, 811, 27469, 719, 3435, 22012, 443, 2732, 457, 2314, 310, 1838, 643, 713, 573, 2065, 457, 811, 1838, 310, 1143, 15185, 403, 16144, 9556, 309, 188, 597, 835, 628, 1862, 6601, 2367, 274, 324, 310, 3155, 16, 1668, 417, 1143, 254, 751, 2086, 1034, 2980, 512, 2116, 432, 701, 751, 532, 669, 403, 3837, 387, 11129, 276, 1963, 2314, 16, 17, 1726, 248, 3148, 618, 11820, 4168, 43, 802, 1789, 772, 343, 15, 1640, 596, 8621, 4128, 14621, 2211, 807, 4813, 11177, 13488, 327, 315, 452, 338, 16, 865, 729, 16, 3095, 2732, 3652, 324, 282, 4149, 2687, 14, 310, 286, 286, 28172, 785, 343, 626, 343, 457, 11176, 2666, 11067, 1093, 310, 254, 327, 310, 310, 670, 286, 282, 76, 86, 2102, 286, 977, 14, 374, 248, 310, 2367, 643, 360, 248, 954, 2049, 327, 387, 39475, 719, 35995, 1842, 16, 23, 19, 10264, 254, 286, 457, 997, 452, 286, 563, 747, 21, 593, 248, 1872, 1181, 43, 1057, 16, 13454, 274, 360, 785, 3498, 1851, 513, 2155, 368, 772, 387, 33019, 3089, 841, 274, 14708, 785, 5139, 1130, 310, 618, 15030, 1362, 772, 282, 443, 286, 79, 436, 86, 311, 16, 2978, 274, 16, 2893, 43457, 348, 811, 3364, 963, 715, 2654, 5058, 16, 20556, 512, 848, 26902, 16, 2076, 1091, 671, 282, 286, 1395, 274, 16, 2115, 452, 763, 16, 17, 16, 14, 5651, 286, 311, 282, 452, 286, 14, 596, 2489, 669, 596, 43, 188, 772, 282, 16, 14260, 1260, 785, 10244, 387, 311, 10187, 1074, 25, 256, 14746, 671, 328, 3598, 1872, 479, 10187, 311, 7461, 18204, 276, 1242, 801, 17447, 248, 15400, 1253, 16, 618, 5498, 17, 286, 1438, 2765, 5846, 1309, 555, 6656, 618, 286, 79, 1091, 254, 830, 1872, 618, 286, 751, 452, 532, 452, 869, 888, 343, 282, 2545, 3122, 961, 1129, 343, 618, 282, 35067, 671, 618, 403, 742, 695, 3148, 457, 6761, 254, 328, 327, 274, 324, 1480, 311, 11, 1842, 2035, 360, 282, 16, 311, 841, 1354, 670, 643, 6477, 188, 43, 286, 1842, 3, 276, 4448, 85, 1640, 532, 16, 432, 4140, 763, 2099, 1062, 282, 888, 345, 254, 282, 3498, 43, 7892, 888, 2942, 785, 555, 4128, 533, 1285, 16, 310, 254, 7374, 597, 387, 593, 282, 801, 1038, 4424, 715, 307, 324, 16, 310, 1722, 254, 2367, 286, 3095, 286, 593, 310, 343, 2430, 1379, 345, 5440, 1432, 310, 1157, 5415, 443, 254, 715, 626, 615, 785, 512, 273, 1845, 310, 2086, 295, 785, 555, 2314, 2065, 369, 26414, 286, 1565, 532, 561, 9709, 282, 2942, 41083, 40859, 495, 369, 387, 254, 452, 671, 310, 407, 4867, 403, 2086, 1062, 276, 286, 2666, 256, 282, 2367, 282, 830, 79, 626, 2086, 573, 3, 6676, 3622, 670, 4679, 14, 276, 2187, 5653, 642, 443, 282, 4744, 254, 188, 327, 16, 1055, 2175, 16, 8864, 286, 403, 671, 368, 387, 452, 16, 417, 1640, 8950, 321, 16, 1081, 2350, 9059, 313, 16, 327, 2675, 3732, 2187, 254, 23, 561, 24590, 835, 790, 311, 311, 343, 618, 310, 532, 12352, 774, 479, 310, 1074, 353, 5952, 432, 18, 2654, 811, 7892, 324, 2289, 16, 533, 670, 327, 5769, 360, 79, 16, 963, 407, 2230, 8718, 248, 963, 16, 2101, 188, 338, 6477, 1919, 311, 1872, 1683, 254, 188, 248, 4904, 7621, 2996, 11176, 9478, 14687, 3470, 596, 618, 1427, 254, 618, 593, 624, 16491, 2705, 403, 286, 310, 580, 188, 2524, 4774, 43, 6477, 353, 1074, 85, 248, 2666, 616, 5769, 26990, 532, 2056, 354, 286, 15083, 452, 345, 276, 43, 16, 311, 2942, 2367, 29946, 248, 1652, 374, 457, 457, 2314, 1842, 310, 311 ]

[ 1, 16448, 282, 441, 2811, 9104, 254, 274, 16, 2961, 188, 276, 17635, 3826, 476, 15, 27, 368, 11176, 2628, 14, 17551, 12618, 5660, 13459, 772, 12473, 1368, 282, 1982, 956, 1056, 254, 248, 16, 254, 596, 274, 2713, 13459, 13741, 2653, 276, 274, 587, 324, 33, 390, 324, 3998, 31962, 997, 1245, 282, 3941, 282, 274, 4442, 10968, 254, 1920, 311, 4246, 3, 14, 2752, 3367, 452, 338, 4653, 16, 79, 14, 1656, 16, 715, 4142, 21302, 368, 248, 25506, 633, 452, 33, 16, 15, 24781, 2653, 254, 16, 360, 6153, 14, 14, 16, 276, 10596, 19, 748, 15682, 248, 633, 286, 254, 3533, 772, 254, 8738, 1574, 368, 9112, 2713, 254, 311, 248, 79, 18, 3598, 254, 5125, 23, 942, 576, 16, 188, 254, 37, 254, 4479, 6722, 706, 2413, 16472, 310, 311, 13459, 35, 1041, 668, 10094, 17891, 286, 2653, 7537, 14, 25369, 14, 343, 2546, 282, 286, 774, 11711, 10062, 4646, 324, 769, 254, 4279, 35377, 4544, 8132, 1408, 2522, 6534, 1225, 16, 188, 1091, 10399, 2738, 324, 9131, 13459, 1294, 441, 34308, 353, 4907, 21302, 5537, 1225, 9884, 9490, 2348, 634, 1161, 25244, 254, 10796, 6979, 4602, 254, 254, 37954, 311, 7952, 747, 343, 1395, 254, 16, 1865, 390, 13459, 772, 1691, 343, 254, 274, 836, 188, 4189, 282, 26340, 2023, 276, 29315, 16, 587, 286, 360, 1212, 14, 327, 603, 390, 23, 19, 2069, 452, 330, 18, 16, 248, 695, 2683, 274, 7526, 274, 274, 4868, 5429, 13459, 15548, 14, 17962, 706, 14, 311, 310, 407, 15401, 14, 18, 894, 2196, 14, 1691, 254, 3408, 14, 248, 4462, 343, 3683, 5058, 1773, 512, 576, 248, 4646, 417, 1334, 16086, 254, 353, 6477, 254, 3690, 4513, 3184, 16, 23, 276, 4602, 33, 254, 380, 14, 248, 14, 3699, 34198, 624, 21718, 899, 1181, 21, 2269, 13459, 751, 2408, 328, 1845, 12008, 8522, 254, 14, 2539, 2069, 1330, 8132, 2035, 843, 436, 27255, 16, 22570, 16, 22843, 254, 495, 1042, 18, 18596, 324, 286, 3598, 286, 248, 311, 18, 324, 286, 16, 2035, 2069, 16766, 942, 4131, 272, 0, 5123, 12678, 6536, 1508, 7528, 18083, 368, 387, 593, 286, 2033, 510, 248, 282, 282, 368, 254, 915, 16, 706, 16, 476, 324, 3781, 380, 7422, 33365, 587, 2653, 14, 1294, 311, 1547, 8575, 1438, 13459, 328, 81, 2738, 14, 2072, 16, 24301, 3089, 1041, 15, 476, 496, 729, 779, 16494, 11711, 3388, 16, 14, 276, 188, 14, 15878, 6317, 4142, 5708, 16, 3265, 1865, 5897, 14, 274, 758, 27255, 274, 5066, 452, 311, 5114, 327, 26, 29325, 13825, 16, 188, 15052, 2490, 16, 512, 16, 3867, 21, 1773, 2069, 274, 23, 2347, 15052, 780, 16, 642, 1547, 2653, 484, 324, 43, 401, 1444, 324, 274, 434, 15052, 3395, 22629, 327, 274, 188, 19063, 32273, 6025, 2468, 7526, 596, 16, 12261, 188, 282, 12008, 311, 669, 30073, 14, 9899, 1574, 16, 14, 25728, 16, 328, 324, 1362, 14544, 1394, 274, 20, 13459, 942, 19, 17531, 2269, 254, 6211, 16, 324, 368, 8350, 368, 35353, 374, 273, 360, 2715, 23, 944, 8788, 328, 188, 3405, 7747, 960, 14, 633, 188, 282, 1773, 14, 2759, 2514, 27511, 18, 476, 1051, 254, 2141, 33, 368, 14741, 13459, 11, 1738, 22471, 476, 1354, 2023, 731, 10537, 25482, 311, 311, 1872, 254, 254, 403, 188, 33060, 18, 360, 254, 254, 274, 2624, 1581, 274, 254, 282, 14, 6211, 3802, 1354, 276, 403, 456, 476, 13251, 311, 6255, 7526, 16, 2318, 13420, 7335, 282, 387, 16448, 826, 15401, 2490, 343, 276, 4255, 1090, 254, 2715, 2209, 11401, 274, 6106, 9360, 2035, 956, 324, 274, 476, 338, 2752, 6404, 865, 274, 1756, 16, 16, 12834, 14, 6326, 10883, 12332, 14, 311, 1091, 14390, 1733, 35353, 785, 495, 360, 1395, 615, 248, 343, 3684, 16, 343, 8790, 1334, 33, 282, 368, 374, 368, 254, 1916, 1125, 188, 13459, 4772, 16, 3233, 10003, 3108, 1286, 254, 374, 1330, 942, 248, 8840, 977, 343, 18, 3615, 587, 37481, 6761, 2497, 1221, 13459, 327, 1041, 1041, 1260, 374, 683, 25775, 17, 13825, 17928, 1726, 33491, 360, 6151, 16, 1253, 603, 14, 11805, 16, 4377, 1091, 3294, 657, 2497, 865, 16, 4806, 272, 14, 872, 21064, 2413, 2497, 10282, 561, 624, 16, 7461, 510, 13459, 286, 1431, 7269, 16, 8886, 16, 16, 254, 4107, 19, 1260, 6311, 476, 27255, 248, 1865, 311, 4189, 282, 4747, 2103, 533, 1091, 2653, 273, 311, 16060, 274, 15, 2049, 2150, 276, 1041, 28429, 436, 14855, 4653, 188, 4544, 18, 695, 274, 380, 4126, 13459, 188, 16, 1479, 16, 248, 10537, 1838, 3148, 1017, 495, 282, 360, 25870, 434, 417, 286, 16, 14, 4107, 17227, 1963, 3198, 2069, 4684, 16, 324, 476, 3564, 13459, 368, 274, 14755, 1432, 6025, 889, 25068, 1245, 14, 4221, 274, 22884, 11458, 18, 28, 311, 6384, 16, 276, 188, 26074, 14, 21, 16, 407, 9131, 1268, 254, 2269, 41404, 1581, 1527, 1640, 360, 403, 6208, 282, 3802, 495, 2713, 47469, 11929, 16, 338, 1640, 20, 286, 596, 9115, 26, 512, 286, 274, 254, 25175, 13459, 324, 15052, 946, 276, 16, 324, 11401, 1017, 801, 16, 16, 188, 2069, 2533, 188, 14, 188, 20, 16, 26, 14296, 956, 3533, 272, 944, 2713, 20, 314, 3202, 14, 1738, 368, 188, 254, 670, 274, 2653, 9315, 274, 274, 188, 865, 16, 16832, 17, 1575, 2477, 1899, 1012, 254, 1788, 624, 1110, 254, 19658, 16, 7335, 3533, 254, 16, 1017, 5324, 368, 555, 282, 513, 1653, 839, 276, 254, 2713, 1268, 513, 1826, 276, 2653, 387, 16, 13459, 5869, 274, 826, 6025, 345, 282, 12834, 27511, 2653, 4095, 8350, 5299, 16937, 772, 1091, 731, 11593, 26790, 2069, 286, 328, 10436, 13459, 2245, 633, 403, 16, 596, 1336, 7528, 16, 443, 772, 10537, 2187, 2413, 254, 188, 10062, 843, 3134, 2041, 274, 587, 282, 248, 274, 188, 353, 13459, 15, 14, 3143, 772, 282, 282, 4213, 747, 633, 1897, 2245, 254, 16, 3505, 282, 452, 286, 23, 248, 6435, 274, 248, 6956, 2210, 2150, 254, 324, 26703, 865, 274, 11903, 15052, 35, 311, 286, 30343, 5324, 2124, 272, 16, 5248, 495, 16, 23088, 368, 35, 2150, 254, 3570, 2863, 443, 34308, 25068, 16, 282, 2653, 597, 254, 452, 615, 248, 23, 34359, 16, 751, 360, 5740, 16, 15052 ]

[ 1, 436, 563, 747, 14, 731, 463, 1872, 756, 626, 457, 17999, 2155, 44532, 532, 11390, 188, 607, 494, 8545, 668, 188, 286, 2427, 6141, 7758, 441, 248, 18, 274, 276, 276, 348, 360, 353, 46238, 9136, 5381, 368, 75, 15, 23, 3, 2151, 432, 3852, 24719, 403, 274, 447, 248, 327, 42079, 343, 6149, 0, 29289, 16, 16, 1045, 4848, 11, 772, 1354, 597, 311, 353, 1056, 254, 670, 282, 8221, 254, 369, 351, 2350, 1330, 13810, 597, 603, 496, 1864, 1253, 11390, 14, 452, 17551, 1125, 248, 254, 42079, 513, 1041, 2819, 6141, 254, 466, 328, 188, 2244, 248, 282, 14, 3061, 254, 188, 457, 310, 254, 286, 390, 343, 1896, 483, 13799, 16, 188, 1042, 1982, 12, 495, 555, 16, 314, 310, 353, 18754, 15, 286, 27586, 286, 311, 669, 1662, 2255, 188, 254, 15, 254, 2731, 248, 188, 38206, 1872, 1143, 310, 683, 286, 641, 30185, 2244, 360, 1232, 43, 11, 286, 2711, 16, 16, 4032, 731, 463, 310, 348, 915, 1037, 11947, 17443, 7919, 481, 561, 188, 15, 4285, 1141, 7439, 274, 286, 15, 763, 324, 368, 254, 251, 8840, 872, 310, 597, 16, 353, 24719, 360, 5909, 3, 1315, 1931, 188, 1625, 5326, 282, 671, 5108, 2211, 39052, 14, 81, 512, 7919, 16, 412, 188, 6217, 1309, 353, 324, 23675, 7357, 327, 3853, 819, 520, 3849, 31305, 282, 338, 3849, 25934, 254, 563, 33, 282, 1125, 1480, 3879, 2298, 248, 1663, 2819, 353, 22501, 1952, 286, 20369, 274, 327, 276, 10238, 1521, 7161, 343, 532, 10456, 248, 71, 254, 626, 282, 729, 22, 650, 14, 340, 16, 5897, 1181, 6830, 1649, 6149, 603, 8244, 6536, 369, 254, 1806, 85, 282, 596, 2391, 11320, 11, 248, 43, 9430, 368, 668, 670, 466, 587, 1258, 85, 580, 2942, 1737, 274, 417, 19, 188, 2991, 14, 16832, 633, 1619, 17404, 310, 6815, 11, 7758, 436, 1145, 2646, 343, 3132, 2701, 748, 2838, 188, 250, 276, 3, 248, 5607, 403, 274, 16832, 286, 353, 16, 254, 282, 3437, 310, 12309, 3396, 2151, 731, 40682, 777, 254, 16, 248, 1038, 1952, 353, 12347, 413, 1311, 4873, 872, 8840, 368, 2427, 13962, 286, 4574, 1652, 368, 310, 1731, 274, 457, 1919, 33729, 327, 570, 7439, 8901, 641, 188, 807, 1130, 865, 6128, 16, 19638, 282, 5320, 254, 1286, 633, 38206, 274, 21754, 4813, 311, 360, 7573, 872, 314, 86, 753, 188, 23, 1129, 3179, 1649, 254, 7754, 403, 48001, 1856, 5995, 6648, 368, 2342, 1574, 374, 1934, 5862, 2187, 15669, 11859, 7855, 300, 9693, 512, 369, 33, 587, 1213, 310, 79, 4344, 3709, 14, 14205, 276, 14, 643, 751, 3148, 807, 452, 16, 7047, 417, 16, 751, 16, 1091, 3063, 14, 276, 32434, 2031, 3680, 4741, 729, 603, 311, 974, 18, 479, 713, 3, 254, 9632, 4895, 4741, 713, 328, 368, 18754, 1382, 750, 368, 3202, 418, 7042, 15, 4747, 452, 8392, 274, 254, 327, 9535, 683, 311, 22481, 603, 324, 345, 248, 520, 276, 311, 286, 276, 11939, 513, 6154, 257, 368, 2543, 1012, 368, 188, 1903, 772, 282, 29537, 2257, 16, 85, 1062, 3097, 1738, 1843, 369, 729, 1842, 597, 383, 10832, 4848, 12347, 596, 282, 1268, 21754, 4707, 21754, 33, 188, 2869, 3350, 594, 321, 254, 250, 556, 343, 276, 286, 254, 452, 3055, 5126, 16, 369, 282, 16, 3, 3992, 27475, 12347, 479, 1391, 8430, 276, 1037, 368, 603, 452, 16120, 1603, 624, 274, 31239, 276, 368, 343, 188, 2537, 31239, 7701, 1091, 353, 533, 1157, 254, 457, 16, 16, 188, 4741, 14, 626, 815, 251, 1247, 1480, 1952, 1863, 286, 254, 40995, 23, 763, 3148, 30105, 4574, 16, 15085, 520, 573, 343, 8106, 972, 14526, 2424, 457, 742, 321, 1773, 16, 254, 360, 933, 3, 8745, 16, 4741, 71, 747, 1012, 10357, 14, 353, 457, 22630, 1773, 15221, 573, 11, 16, 6069, 6357, 2374, 2292, 2244, 2922, 286, 13930, 360, 327, 248, 188, 254, 324, 7176, 20002, 5619, 633, 3155, 16, 16, 16, 1181, 9769, 12347, 670, 14, 11947, 573, 476, 39, 321, 360, 5552, 872, 28, 327, 20369, 3, 8293, 71, 483, 259, 1390, 327, 25934, 2353, 457, 597, 15955, 12347, 42079, 274, 254, 31866, 596, 368, 1063, 16, 86, 307, 2539, 24719, 512, 452, 742, 188, 4214, 1503, 248, 16, 1311, 2468, 2803, 353, 5909, 282, 10663, 345, 21718, 41438, 274, 2378, 889, 38521, 9845, 1931, 310, 16, 4186, 2155, 254, 30069, 6141, 593, 2056, 11812, 1269, 561, 939, 248, 188, 6915, 417, 188, 79, 1863, 9430, 1619, 255, 4092, 15085, 40995, 457, 618, 21660, 188, 14, 593, 274, 324, 86, 624, 633, 1813, 10068, 327, 254, 476, 16, 41765, 2241, 3155, 254, 14976, 1091, 4212, 282, 321, 14, 9892, 248, 16, 3106, 274, 27414, 188, 3324, 276, 497, 282, 512, 16, 79, 188, 3437, 5246, 4558, 15, 21, 3901, 417, 512, 944, 9024, 466, 276, 188, 45806, 7042, 16, 3584, 310, 2764, 15, 30832, 20253, 593, 11320, 353, 17, 380, 5897, 307, 20, 771, 86, 14, 40975, 1041, 852, 457, 3148, 2406, 26323, 42079, 596, 85, 532, 4196, 248, 41625, 248, 2519, 3635, 1091, 573, 1903, 1223, 13962, 254, 1773, 282, 16, 286, 311, 5569, 15, 974, 15, 2646, 8840, 188, 1350, 248, 561, 19988, 563, 254, 1903, 513, 254, 14, 8788, 2211, 310, 3, 24719, 580, 311, 2304, 274, 573, 2079, 12158, 1689, 360, 328, 328, 13819, 2244, 47854, 603, 16, 974, 835, 282, 1309, 2429, 3, 2602, 188, 2515, 7964, 248, 369, 6041, 26601, 2292, 13962, 14, 457, 1849, 13853, 43, 42079, 403, 188, 248, 852, 2778, 1330, 974, 9392, 368, 775, 9723, 4344, 755, 14, 26855, 369, 830, 34257, 248, 2942, 5732, 5568, 6934, 73, 276, 3, 23862, 713, 9010, 1212, 188, 7855, 852, 818, 713, 14687, 7100, 852, 1362, 254, 89, 457, 2144, 286, 1359, 2263, 688, 248, 513, 1733, 328, 1354, 286, 11717, 360, 22055, 80, 286, 6139, 457, 3149, 643, 2569, 248, 1382, 324, 360, 1970, 11947, 587, 368, 1582, 1773, 11320, 457, 267, 368, 1781, 390, 14, 8814, 248, 16, 16832, 321, 15165, 2003, 561, 18024, 282, 1395, 360, 512, 348, 248, 14, 5909, 188, 41244, 16, 4414, 248, 286, 286, 633, 520, 22630, 7964, 481, 22329, 14, 345, 9415, 248, 33420, 7213, 1708, 16, 555, 16, 1181, 1926 ]

[ 1, 16, 27, 343, 5940, 3965, 286, 872, 254, 310, 15777, 742, 21, 32344, 14579, 18, 2421, 6644, 1694, 1416, 289, 14502, 33265, 1794, 495, 274, 18, 5509, 275, 348, 2784, 3088, 21530, 7032, 479, 14, 282, 7797, 819, 254, 374, 14297, 276, 835, 16, 9156, 286, 276, 2332, 324, 16, 12782, 432, 368, 14, 533, 8386, 4325, 15, 20202, 1903, 580, 380, 254, 4540, 3175, 6524, 33677, 633, 368, 4945, 10077, 248, 2318, 1689, 54, 1996, 5711, 18231, 729, 23, 286, 669, 36193, 324, 763, 15042, 1181, 1520, 13760, 1502, 14, 4540, 328, 286, 4131, 6699, 286, 10563, 510, 4684, 254, 20, 2411, 380, 49, 20563, 254, 6567, 1416, 14, 21530, 3448, 16, 3996, 17217, 2024, 286, 6495, 311, 1064, 276, 6495, 1181, 625, 42865, 1008, 13416, 41905, 687, 1321, 276, 785, 37438, 353, 417, 367, 3294, 14, 7004, 324, 432, 3051, 36996, 19414, 14, 7935, 254, 16, 633, 789, 729, 286, 54, 16, 1521, 368, 18, 248, 3269, 12832, 14502, 7526, 18, 23, 5146, 13416, 286, 16, 30318, 188, 2955, 5311, 16, 324, 32698, 21530, 282, 343, 311, 11213, 642, 282, 576, 2640, 4022, 807, 33417, 836, 14502, 311, 3532, 1091, 321, 274, 2868, 1502, 273, 14, 22469, 15592, 751, 18, 2640, 16, 2086, 5547, 407, 597, 4489, 9536, 276, 11645, 1062, 10648, 286, 21997, 16588, 373, 1186, 368, 1362, 1362, 1354, 1845, 37205, 343, 254, 27, 9863, 16, 286, 20313, 254, 286, 801, 1665, 9537, 380, 282, 11626, 274, 16, 2025, 713, 310, 457, 353, 17877, 5060, 5485, 476, 348, 11485, 1360, 31097, 1683, 18520, 0, 248, 4584, 671, 2982, 286, 2176, 16, 286, 512, 16, 1841, 22469, 274, 5511, 2086, 4, 11967, 33, 11379, 813, 1851, 282, 10436, 11301, 13228, 14, 2194, 10725, 9199, 16, 71, 348, 2196, 3498, 14, 254, 3489, 286, 9123, 2341, 16174, 45373, 3184, 8533, 10223, 4184, 286, 286, 6750, 452, 188, 1664, 648, 286, 254, 510, 286, 2034, 36, 276, 188, 286, 282, 8979, 15, 276, 1558, 6081, 14, 5360, 449, 1017, 16906, 580, 13764, 16, 374, 276, 19, 2504, 254, 26884, 596, 11334, 14, 6313, 4897, 1689, 286, 12087, 273, 3371, 3759, 533, 2382, 4445, 7683, 311, 276, 20, 9104, 45202, 3297, 2079, 5462, 390, 19102, 24151, 3949, 282, 1004, 8952, 32698, 254, 36, 403, 353, 3833, 481, 10334, 254, 1241, 46186, 18, 18119, 2194, 618, 276, 841, 16637, 248, 10670, 2245, 14, 1996, 324, 1938, 276, 272, 248, 324, 286, 2524, 1868, 387, 282, 14, 555, 593, 18, 14625, 1920, 369, 286, 1444, 21, 15682, 4203, 4434, 5215, 23027, 2591, 2342, 311, 14, 561, 276, 248, 324, 10060, 706, 2927, 11679, 1064, 5060, 580, 343, 23773, 3498, 14, 348, 254, 248, 4646, 1017, 4188, 254, 374, 18058, 0, 9536, 597, 6319, 13221, 532, 188, 286, 254, 3, 188, 16, 7112, 14135, 633, 44095, 20313, 670, 1663, 2411, 14, 16, 1683, 272, 254, 14, 12352, 8514, 338, 14, 0, 1033, 310, 15, 4698, 14, 311, 254, 915, 2372, 9536, 338, 3084, 31577, 3570, 22239, 4373, 16, 407, 324, 18761, 29483, 495, 368, 10563, 285, 23945, 274, 650, 188, 340, 5603, 41295, 10170, 311, 5509, 311, 4540, 11134, 1499, 476, 687, 324, 47273, 21121, 10215, 8753, 1707, 18, 3743, 513, 368, 11106, 2421, 4605, 19038, 6721, 324, 1423, 286, 14, 5532, 17660, 343, 35585, 324, 2546, 275, 311, 248, 2874, 6148, 286, 11115, 2714, 2269, 10827, 276, 9091, 802, 188, 6784, 15571, 1193, 11267, 9661, 8158, 254, 7250, 3325, 4607, 188, 327, 14, 188, 1603, 4434, 324, 286, 14, 1619, 248, 12136, 25, 1038, 28196, 14, 41295, 20110, 254, 14, 54, 12087, 274, 248, 3243, 23141, 18, 963, 4235, 593, 324, 380, 3965, 15, 10313, 282, 633, 327, 1012, 1057, 4558, 5157, 2176, 14, 16, 688, 756, 963, 18, 16, 4457, 8979, 5495, 11221, 21, 637, 34362, 15979, 282, 31145, 32326, 3038, 324, 751, 45650, 390, 9317, 2784, 7705, 14, 1015, 27715, 26124, 5322, 483, 4549, 4497, 254, 1336, 1416, 510, 319, 7556, 19, 254, 2734, 18, 843, 20, 328, 21, 276, 272, 343, 85, 16296, 279, 7434, 3096, 276, 428, 4822, 282, 1361, 1999, 254, 398, 188, 368, 327, 607, 432, 4897, 34807, 4501, 254, 496, 248, 286, 15492, 188, 8861, 7303, 42677, 975, 457, 8492, 3371, 14, 11013, 1427, 5060, 254, 1336, 3269, 555, 14, 286, 33, 758, 407, 5532, 33022, 23773, 2304, 763, 1495, 33, 14, 43, 1845, 18, 29994, 743, 390, 1470, 374, 21047, 18, 16, 24791, 2984, 7909, 13034, 1196, 286, 254, 633, 18, 14, 272, 4945, 282, 311, 18, 1064, 188, 254, 734, 324, 16, 3051, 12519, 3270, 2135, 1395, 4698, 30611, 11176, 687, 1318, 3489, 311, 331, 1416, 286, 338, 3, 27143, 18362, 5592, 23, 1691, 624, 479, 282, 9839, 513, 12368, 43814, 6207, 13416, 374, 14395, 443, 328, 324, 561, 457, 1596, 275, 19076, 18, 5509, 18, 18300, 555, 1205, 311, 14, 2201, 4607, 30951, 719, 19137, 1575, 1493, 16, 14268, 14, 7943, 3083, 254, 2674, 3124, 6981, 18, 7845, 3327, 16, 6596, 248, 7270, 26, 328, 2722, 324, 324, 2728, 11115, 16, 1315, 374, 407, 436, 555, 2122, 16, 311, 465, 2318, 276, 3979, 476, 18, 2024, 561, 314, 286, 1982, 2023, 18, 12007, 282, 368, 14724, 7460, 2382, 512, 15, 2254, 328, 22757, 4745, 18, 1958, 254, 16, 12936, 188, 286, 188, 10786, 7460, 2348, 4044, 669, 4745, 671, 6567, 17527, 1964, 3596, 2421, 1502, 10563, 536, 276, 2030, 348, 282, 274, 248, 4610, 16, 387, 375, 13034, 16, 6081, 374, 9147, 801, 8718, 42865, 1033, 14, 18235, 16, 11984, 683, 5291, 248, 8680, 7315, 188, 8946, 14755, 1920, 11549, 13643, 25060, 12865, 21746, 274, 587, 1718, 16, 3965, 254, 6163, 16, 5194, 633, 4122, 432, 607, 11645, 254, 6495, 3965, 14, 5830, 1015, 274, 2065, 18, 282, 456, 14, 4476, 29868, 15777, 328, 255, 20, 848, 2065, 2009, 576, 1683, 1615, 348, 4131, 9496, 1270, 15189, 5961, 286, 16, 41295, 12572, 18, 343, 432, 6106, 7321, 272, 495, 20, 4095, 21121, 16, 11527, 16, 2411, 22, 327, 188, 43575, 13416, 41322, 16, 276, 687, 1362, 1361, 41295, 254, 23321, 54, 1218, 607, 85, 380, 30980, 4095, 12699, 11528, 510, 22, 276, 348, 368, 3184, 369, 5715, 248, 282, 311, 512, 311, 2072, 3577, 695 ]

[ 1, 4695, 14608, 24555, 246, 2492, 12237, 21113, 65, 1195, 85, 499, 1465, 1190, 16, 37184, 246, 14, 1402, 1210, 65, 2523, 7910, 75, 931, 253, 426, 306, 246, 426, 27506, 75, 8041, 6103, 65, 18, 18541, 342, 65, 35855, 1713, 65, 85, 477, 1546, 426, 246, 1465, 65, 17775, 8896, 2383, 17775, 65, 2492, 8896, 21593, 1622, 5744, 1465, 7, 246, 16, 7, 426, 3270, 487, 14, 1690, 65, 10979, 428, 487, 10641, 21593, 2413, 65, 35855, 10771, 10, 338, 4695, 21593, 246, 10979, 210, 16, 246, 2966, 39, 10, 3500, 558, 63, 65, 1465, 65, 65, 603, 1465, 4874, 72, 11, 8896, 15313, 487, 11, 274, 7365, 1877, 286, 8249, 684, 647, 10, 6613, 13783, 1465, 2316, 496, 40919, 35855, 65, 31479, 487, 65, 7365, 63, 16, 65, 1800, 6096, 1800, 4324, 10, 65, 684, 21593, 662, 20, 10440, 22851, 426, 5878, 28, 36, 276, 6096, 883, 13783, 3500, 21593, 65, 17775, 10, 487, 1733, 338, 18, 10, 7, 426, 426, 1465, 21593, 5744, 324, 1153, 17775, 14, 684, 63, 65, 17775, 65, 1465, 952, 428, 426, 34676, 19, 246, 487, 65, 75, 18, 65, 246, 883, 86, 371, 14661, 14, 10, 428, 6699, 6699, 1876, 1800, 10, 5397, 15654, 10, 65, 2492, 426, 65, 1402, 75, 1800, 375, 65, 85, 1563, 1984, 1465, 69, 14066, 926, 25945, 6699, 65, 61, 14, 21593, 85, 1465, 86, 10, 21593, 63, 426, 662, 3176, 19742, 1800, 10, 6096, 18, 246, 246, 37013, 65, 61, 65, 914, 61, 65, 75, 426, 65, 662, 426, 14066, 922, 276, 883, 5064, 3016, 903, 952, 434, 1465, 246, 61, 18541, 952, 18, 65, 1465, 35855, 475, 1210, 65, 1459, 1465, 6613, 246, 10, 75, 85, 3270, 2476, 14066, 496, 19, 9, 65, 23278, 38269, 14, 85, 1210, 10641, 2383, 6613, 65, 10979, 1465, 558, 558, 314, 85, 65, 5209, 65, 65, 487, 647, 2617, 61, 6373, 85, 1563, 18, 4207, 4874, 16, 6613, 14, 14681, 63, 1690, 3333, 3270, 14066, 85, 1800, 35855, 10, 1517, 1690, 41417, 15313, 28171, 19, 21593, 65, 10, 19, 246, 952, 1433, 3171, 15, 487, 10, 21593, 496, 86, 487, 31479, 95, 14661, 1800, 1465, 276, 10, 10, 36, 477, 75, 296, 16, 14, 2476, 1210, 914, 21593, 1465, 17775, 662, 9579, 20, 918, 11633, 47757, 16978, 10000, 35855, 3500, 10, 6613, 282, 65, 10730, 254, 10, 1465, 14661, 662, 696, 75, 257, 14066, 65, 684, 4207, 1690, 426, 2617, 10979, 246, 61, 65, 10979, 18, 31479, 647, 1210, 1465, 2940, 282, 428, 3270, 10, 4695, 2523, 35855, 3016, 10, 210, 63, 684, 75, 1402, 14, 4287, 65, 11, 15739, 11, 662, 2492, 1962, 426, 28, 21593, 352, 6613, 20, 10, 426, 65, 282, 65, 65, 7536, 65, 903, 65, 210, 65, 35855, 65, 1800, 296, 75, 684, 5474, 475, 375, 952, 4793, 487, 467, 3016, 1465, 1465, 426, 35855, 2414, 342, 662, 16, 487, 15313, 6373, 3270, 477, 61, 17, 6103, 2492, 246, 10979, 3500, 63, 375, 14066, 1402, 5474, 65, 1433, 65, 35855, 17775, 11305, 65, 18541, 19, 1563, 11, 12847, 14066, 6699, 684, 18, 324, 21593, 21113, 85, 26966, 10440, 903, 10, 8176, 65, 2413, 65, 65, 65, 65, 487, 75, 647, 16, 426, 28, 2413, 65, 1465, 4207, 477, 5474, 9051, 931, 16, 65, 4207, 65, 3270, 8516, 1190, 487, 487, 8041, 3193, 4287, 16978, 65, 14608, 63, 10979, 25945, 9579, 2590, 426, 1876, 254, 31479, 26966, 3500, 662, 61, 65, 2414, 3270, 10, 246, 14066, 662, 10, 426, 338, 10730, 16, 63, 839, 11, 1465, 883, 65, 24555, 1465, 487, 1800, 287, 18, 210, 65, 61, 246, 3270, 338, 21593, 7536, 61, 65, 662, 24555, 85, 65, 65, 662, 14661, 2316, 65, 1465, 61, 65, 428, 426, 883, 8035, 28, 287, 1563, 1690, 647, 4280, 375, 426, 3270, 65, 13783, 470, 426, 2383, 9346, 1465, 85, 65, 19, 28, 931, 10, 4874, 684, 314, 21593, 684, 35855, 647, 38631, 65, 4874, 246, 662, 14066, 18, 20, 65, 21593, 21593, 65, 696, 15, 296, 16, 65, 65, 282, 3016, 257, 14, 12424, 371, 16, 6699, 14066, 63, 9, 63, 9, 426, 477, 3185, 1800, 12, 477, 3500, 1465, 4874, 19, 63, 662, 487, 14, 61, 19, 80, 684, 20, 26363, 1563, 16, 1690, 2869, 487, 16, 26, 487, 1402, 1876, 324, 426, 8323, 65, 14, 672, 684, 85, 1800, 952, 6699, 18, 2492, 10, 11, 6699, 246, 10979, 1800, 63, 426, 16455, 246, 324, 21113, 61, 65, 65, 63, 5209, 558, 1465, 18, 475, 2383, 14, 47757, 18, 63, 477, 1195, 3016, 18, 477, 19742, 16, 274, 1800, 1465, 65, 16978, 19, 65, 65, 3880, 9348, 65, 428, 3163, 18, 647, 65, 558, 314, 25945, 7365, 23731, 719, 2383, 21593, 558, 3880, 65, 11, 662, 10979, 2492, 65, 9579, 426, 2492, 18, 85, 18, 1465, 65, 12, 3658, 248, 662, 1546, 65, 65, 65, 487, 2617, 1465, 18541, 65, 16, 19, 2383, 65, 15313, 10979, 19, 426, 1459, 75, 65, 684, 17775, 314, 6103, 10, 6103, 65, 21593, 1195, 11624, 6096, 426, 952, 1465, 47757, 2413, 475, 1090, 9855, 2193, 6613, 426, 10755, 47757, 276, 1162, 2492, 674, 662, 10641, 10730, 14, 72, 576, 5209, 16, 14066, 3270, 662, 3270, 65, 85, 10979, 2523, 9923, 246, 352, 17775, 210, 10979, 65, 18, 11, 5209, 3319, 6699, 276, 10979, 3171, 41938, 246, 63, 21593, 4874, 35855, 16, 11814, 2316, 253, 61, 65, 75, 6373, 5209, 1465, 19742, 10, 14, 65, 14, 16978, 360, 1210, 2476, 426, 662, 2414, 72, 31899, 3016, 11305, 647, 839, 65, 65, 210, 18, 63, 1800, 16978, 8041, 8041, 46971, 10979, 65, 65, 21593, 17775, 926, 63, 10730, 4533, 18, 254, 65, 65, 487, 426, 338, 14, 477, 65, 426, 17775, 65, 65, 3500, 639, 28171, 65, 1195, 65, 487, 1563, 26966, 487, 495, 11, 3500, 426, 65, 1465, 11, 210, 210, 36453, 20258, 8179, 3016, 13783, 311, 1465, 19, 35855, 65, 10979, 684, 61, 1800, 75, 65, 487, 1465, 662, 338, 2961, 65, 8516, 1465, 2617, 65, 63, 19, 16978, 4695, 662, 28171, 18308, 25945, 14, 65, 2383, 246, 1800, 63, 6613, 1622, 28, 6613, 1459, 371, 25945, 5301, 11, 16, 477, 496, 477, 19, 3270, 10, 14066, 65, 16, 4874, 426, 1563, 9, 11 ]

[ 1, 16, 36, 428, 16234, 3431, 254, 2629, 14, 30700, 14, 742, 4861, 7757, 686, 16, 773, 19827, 44700, 12810, 85, 2003, 16, 282, 1038, 14, 254, 13085, 6105, 8248, 14670, 1480, 775, 701, 742, 14, 775, 188, 25029, 3108, 6250, 2071, 16, 1223, 286, 12391, 1012, 9120, 16, 14, 16, 267, 7150, 772, 1111, 67, 1015, 17715, 16, 324, 29, 4282, 3417, 593, 254, 14, 2628, 254, 3694, 417, 32464, 353, 14, 5441, 328, 21491, 16, 188, 20859, 19864, 10351, 14, 616, 387, 616, 276, 3, 1090, 15001, 1205, 586, 642, 555, 3532, 1469, 286, 37632, 314, 701, 1663, 16, 311, 321, 434, 345, 663, 286, 946, 8, 286, 8309, 188, 434, 5288, 721, 38758, 248, 17196, 561, 16, 282, 265, 544, 7410, 16, 434, 12364, 19831, 1582, 16, 1141, 16, 6313, 1161, 2687, 507, 8682, 663, 5942, 14, 701, 1438, 497, 23709, 749, 11243, 14, 282, 520, 743, 520, 19478, 14, 49, 406, 370, 15858, 2079, 457, 721, 2023, 15356, 3233, 8248, 248, 22908, 16, 321, 944, 328, 4227, 1628, 311, 34035, 4518, 1143, 16364, 668, 29461, 7410, 476, 20629, 11867, 11233, 573, 395, 593, 434, 3396, 9861, 12832, 4801, 830, 520, 14, 3497, 276, 961, 3240, 4719, 327, 432, 1793, 13424, 457, 21859, 14, 807, 11, 27469, 436, 9648, 282, 942, 2019, 512, 1260, 374, 2427, 1970, 274, 457, 14033, 380, 20859, 804, 8825, 276, 30643, 6139, 16144, 1701, 14, 254, 21411, 370, 324, 12746, 6648, 1544, 1827, 274, 603, 12830, 12319, 286, 254, 383, 42, 387, 750, 29842, 188, 625, 1015, 14, 18, 687, 758, 414, 6100, 3364, 23308, 434, 4607, 14, 659, 248, 1223, 14, 555, 3587, 14, 16, 8753, 573, 663, 2287, 276, 839, 16, 21, 5898, 961, 548, 665, 40745, 457, 977, 8468, 16, 348, 4140, 616, 9120, 254, 27, 1427, 15, 457, 616, 274, 286, 2545, 35130, 11841, 14, 862, 12136, 573, 4698, 16, 434, 254, 188, 11342, 573, 441, 38861, 248, 32692, 254, 14557, 5887, 3122, 16888, 265, 33405, 16144, 10443, 601, 3709, 1464, 19792, 348, 8430, 7421, 86, 640, 369, 16, 520, 1110, 16, 3435, 2552, 2079, 7158, 1625, 369, 434, 15547, 14, 3026, 1223, 16, 311, 30934, 14, 3414, 16, 750, 4932, 85, 282, 2430, 4236, 9137, 1845, 188, 30757, 286, 8728, 12178, 401, 9861, 16, 434, 520, 5607, 16, 520, 3183, 33454, 616, 20908, 9120, 17915, 282, 1423, 29, 1377, 41942, 4851, 15, 22771, 29972, 286, 624, 520, 561, 641, 4866, 434, 4226, 14, 520, 16841, 286, 311, 273, 663, 254, 668, 43553, 248, 304, 4428, 16, 687, 9380, 16, 663, 775, 315, 14, 16, 254, 1026, 7320, 248, 616, 27529, 6037, 7410, 36, 345, 6000, 650, 5867, 282, 2482, 387, 8443, 327, 14, 254, 18279, 2253, 4518, 2900, 457, 775, 1045, 3870, 395, 14, 24896, 7642, 4351, 327, 444, 19042, 248, 43722, 47914, 345, 347, 1111, 1269, 641, 1111, 701, 520, 327, 16, 1469, 345, 3192, 286, 286, 1267, 28, 1268, 14, 16, 33161, 378, 311, 345, 30146, 2349, 31534, 86, 8487, 85, 14, 1438, 1110, 345, 17915, 7970, 520, 19, 476, 688, 2328, 807, 457, 321, 434, 16, 30850, 701, 15372, 1037, 1544, 701, 385, 626, 353, 8194, 683, 387, 671, 248, 676, 282, 428, 1564, 8, 512, 254, 417, 520, 16, 5495, 27, 1789, 889, 26638, 25339, 345, 343, 248, 286, 387, 254, 9888, 8946, 254, 3310, 682, 1487, 1606, 15946, 254, 254, 276, 28069, 33433, 248, 16, 47559, 286, 1304, 4565, 311, 248, 4597, 811, 532, 1449, 22389, 9259, 274, 1219, 16, 16, 9320, 494, 37386, 28, 16, 19090, 8202, 14, 286, 457, 520, 775, 282, 33, 807, 70, 1963, 327, 6979, 14, 0, 497, 328, 2072, 729, 3655, 85, 5105, 14, 282, 286, 42, 16144, 16, 1972, 0, 573, 345, 4756, 1469, 750, 1193, 1469, 580, 743, 636, 360, 345, 16, 1782, 1837, 663, 274, 353, 16, 248, 615, 254, 369, 2519, 441, 16, 512, 10153, 6234, 807, 527, 14, 1872, 16, 2780, 19, 248, 3064, 7664, 14, 8545, 5441, 16, 16, 14477, 573, 321, 20966, 331, 14, 4314, 6326, 3607, 3748, 434, 254, 4687, 43294, 1427, 276, 19246, 282, 1026, 21014, 22023, 18, 4778, 348, 2918, 569, 16776, 4518, 369, 1423, 1268, 8681, 274, 403, 2980, 282, 14, 38861, 839, 14, 17506, 14, 14, 1269, 188, 330, 7, 597, 10551, 668, 22409, 42, 387, 301, 273, 1970, 515, 345, 1652, 6477, 2430, 188, 23308, 7410, 7659, 2187, 18, 324, 980, 8825, 311, 14, 387, 587, 772, 7212, 321, 5230, 254, 0, 33405, 561, 254, 248, 1015, 15, 1037, 1304, 254, 19, 457, 14, 750, 286, 324, 11775, 7560, 2370, 286, 1773, 23123, 14, 811, 16, 188, 1703, 1963, 16, 16, 731, 15858, 33999, 368, 616, 4254, 14, 286, 37682, 353, 8840, 1438, 86, 345, 3732, 85, 5897, 11055, 772, 3240, 403, 3826, 742, 3470, 330, 276, 272, 345, 188, 25962, 10147, 324, 16, 14, 14852, 1152, 1268, 3905, 282, 520, 22742, 14, 2393, 1583, 432, 348, 663, 10050, 391, 13486, 23709, 624, 12115, 16, 434, 434, 2552, 67, 328, 775, 2151, 407, 40780, 1952, 31033, 8869, 188, 6211, 3133, 16, 0, 276, 4890, 2591, 390, 580, 3905, 42365, 14, 4874, 3102, 403, 616, 1143, 457, 451, 27677, 3690, 14600, 747, 743, 19, 29, 27, 16, 6154, 272, 8244, 345, 561, 20348, 327, 2370, 434, 701, 286, 616, 16, 14, 1652, 403, 16, 19090, 14, 324, 670, 561, 7970, 31666, 33470, 2900, 390, 18834, 1582, 2071, 3974, 2071, 328, 747, 3699, 34654, 4602, 14, 12830, 3032, 1193, 1755, 16, 436, 748, 188, 1903, 5979, 2891, 2876, 6105, 1045, 353, 1223, 1606, 742, 13067, 520, 452, 9157, 403, 16, 12830, 616, 1212, 70, 272, 16, 86, 387, 282, 1782, 5522, 434, 1547, 16, 625, 2843, 390, 282, 338, 328, 27, 327, 443, 2253, 683, 254, 16, 34162, 14, 1931, 1663, 14, 67, 5042, 748, 7626, 1469, 15259, 641, 10722, 772, 434, 520, 2287, 13306, 3306, 5602, 8539, 476, 16144, 434, 626, 15, 1628, 434, 2065, 29842, 6030, 878, 38861, 555, 276, 18838, 403, 4699, 2020, 520, 327, 1441, 39212, 274, 16, 13925, 27, 5002, 4, 38861, 26970, 15397, 10393, 843, 282, 16, 1181, 276, 311, 1837, 188, 14, 321, 23102, 428, 17256, 274, 9175, 382, 520, 16, 10722 ]

[ 1, 1800, 436, 1139, 9102, 33940, 282, 3005, 16, 5542, 2170, 2012, 18069, 477, 1139, 2880, 684, 2224, 16, 2245, 65, 390, 1806, 14, 65, 324, 38811, 8121, 19783, 16, 784, 11916, 34021, 1952, 927, 3199, 16563, 4, 11, 926, 11, 1453, 274, 8249, 684, 2192, 314, 14, 2517, 5542, 188, 314, 5, 65, 5542, 1369, 4078, 2386, 24318, 347, 7449, 8870, 188, 407, 65, 1477, 6283, 5, 6484, 24692, 65, 4493, 274, 188, 11, 16825, 16, 254, 456, 16, 80, 10, 17, 647, 10, 12386, 665, 210, 188, 476, 926, 65, 11252, 475, 10, 14, 9083, 282, 684, 47831, 18069, 10, 1041, 21795, 1308, 9506, 477, 16, 311, 9187, 4906, 7513, 353, 10777, 477, 476, 9867, 188, 16, 63, 5, 477, 13882, 65, 11519, 28, 1369, 2629, 65, 22344, 65, 5078, 5542, 14, 8509, 14, 65, 9867, 16, 915, 5078, 14, 5078, 9867, 314, 47066, 14439, 2525, 38811, 841, 4078, 78, 2049, 85, 28, 665, 188, 684, 2384, 1554, 779, 1996, 210, 20349, 11916, 3374, 188, 65, 188, 9867, 4081, 20, 19686, 8037, 12029, 390, 477, 61, 9, 4493, 3933, 2426, 13575, 7109, 2024, 10, 9424, 10, 1076, 10, 5542, 1358, 586, 57, 470, 6625, 5, 647, 33940, 7331, 11162, 188, 751, 16, 684, 665, 1308, 38811, 12617, 3841, 2349, 65, 534, 65, 684, 65, 188, 286, 1465, 40476, 19686, 18293, 477, 14, 80, 2224, 8896, 65, 7449, 11581, 282, 1308, 10, 475, 5, 10, 4504, 477, 477, 751, 11, 16563, 38811, 477, 647, 926, 534, 188, 3107, 374, 9424, 254, 477, 25644, 254, 1574, 28, 647, 11162, 5542, 11, 314, 274, 24915, 3374, 65, 3005, 16751, 348, 684, 5, 188, 470, 784, 426, 7446, 14, 10, 71, 3107, 314, 40855, 20357, 426, 2063, 684, 65, 2623, 587, 477, 5550, 1308, 53, 86, 86, 40444, 791, 65, 27985, 188, 24064, 2192, 254, 21584, 390, 2012, 30180, 254, 1554, 264, 282, 477, 12386, 11162, 2865, 11162, 477, 432, 42621, 29, 2517, 22458, 7954, 31590, 426, 9867, 5, 665, 18293, 4608, 40113, 188, 17, 1139, 280, 311, 5542, 16563, 3199, 63, 2192, 426, 22344, 4, 59, 65, 647, 5669, 254, 274, 426, 11, 1358, 17, 3107, 188, 3933, 477, 286, 477, 1347, 1554, 38811, 647, 10, 14, 28, 188, 188, 426, 1139, 477, 426, 2684, 16563, 9867, 825, 417, 6454, 532, 477, 34021, 10, 282, 2466, 1042, 534, 2462, 20242, 28, 2426, 282, 3065, 477, 756, 16563, 188, 40113, 2684, 1510, 1067, 13987, 65, 1308, 17557, 5542, 65, 353, 35518, 5, 16563, 59, 188, 2000, 16, 6516, 476, 2192, 751, 1574, 27576, 15136, 8121, 14588, 1795, 9506, 2880, 5141, 41300, 1002, 17, 1347, 188, 684, 8121, 188, 38811, 11865, 1390, 16563, 7513, 254, 9424, 20560, 684, 1390, 2024, 2878, 477, 3584, 338, 3409, 2880, 6161, 14, 16563, 603, 791, 474, 1030, 9083, 38811, 2170, 7260, 5542, 1360, 1390, 5, 13987, 65, 403, 1369, 274, 15, 12659, 11581, 16825, 11702, 477, 633, 8249, 5542, 188, 311, 314, 791, 44438, 86, 314, 7109, 11702, 16, 43562, 14, 647, 11162, 5, 11162, 684, 31311, 254, 188, 10195, 2426, 28, 65, 11916, 9102, 5542, 9102, 324, 470, 276, 29, 3584, 417, 188, 20, 347, 314, 5542, 6283, 311, 4005, 31651, 477, 14, 2063, 3571, 61, 2462, 188, 314, 1395, 3378, 426, 10, 11162, 4608, 830, 44579, 47066, 314, 188, 47831, 5770, 248, 30304, 16367, 65, 17, 5313, 426, 4360, 65, 20357, 927, 282, 274, 188, 65, 13882, 188, 647, 3291, 33940, 2462, 14, 1142, 477, 477, 647, 11702, 188, 1323, 1938, 28, 65, 2224, 32661, 1013, 586, 550, 2551, 477, 16563, 47831, 11641, 188, 276, 7286, 10, 5, 314, 933, 1139, 9187, 2512, 314, 5669, 27346, 477, 7550, 314, 12474, 4493, 14, 477, 314, 1390, 282, 23596, 4608, 477, 16825, 426, 16, 65, 5659, 16563, 65, 16563, 3841, 1806, 477, 684, 20, 188, 1541, 5813, 16563, 43562, 2170, 28, 1308, 3457, 2629, 21488, 1806, 1369, 6516, 314, 188, 586, 314, 85, 543, 5, 14, 28, 791, 16, 16563, 38811, 3374, 3199, 477, 65, 254, 390, 477, 5542, 62, 9187, 16563, 1146, 477, 926, 24915, 16367, 2192, 348, 57, 34021, 10, 8509, 647, 647, 86, 477, 11916, 4906, 41809, 188, 1269, 282, 14, 477, 647, 65, 14, 647, 758, 684, 2386, 14, 53, 1308, 25606, 2169, 1360, 38811, 7513, 1041, 1390, 11916, 85, 1579, 11162, 2337, 16563, 18543, 29, 9102, 38811, 3652, 16563, 13882, 2024, 11, 8867, 188, 261, 5105, 14, 256, 5542, 1142, 19517, 3005, 926, 684, 14996, 603, 11916, 11, 11, 80, 65, 13882, 477, 5141, 4797, 5542, 261, 477, 9436, 1076, 28, 3107, 9975, 11, 38811, 476, 27521, 65, 826, 477, 254, 1286, 286, 65, 2386, 65, 27985, 1510, 452, 14, 10852, 4493, 31651, 11, 390, 16563, 477, 65, 477, 499, 477, 534, 65, 426, 65, 17036, 47831, 311, 274, 2192, 16, 9867, 477, 426, 18543, 684, 684, 684, 41, 2880, 13882, 188, 20357, 16563, 898, 47831, 8537, 477, 5, 1210, 311, 477, 3986, 16, 647, 2517, 16563, 65, 11162, 282, 2497, 9741, 17600, 477, 9102, 1308, 65, 426, 14, 744, 1510, 14, 3584, 4078, 11916, 476, 1146, 4608, 1574, 10, 684, 1139, 13855, 11, 2012, 66, 971, 1333, 261, 624, 40855, 257, 390, 11641, 324, 274, 477, 53, 1308, 11, 2426, 477, 647, 2880, 33940, 1903, 13882, 65, 5141, 62, 16563, 11865, 5542, 11865, 28, 534, 16, 7449, 0, 477, 33041, 2192, 324, 188, 45098, 477, 188, 14, 532, 16, 1510, 477, 65, 495, 417, 14, 9506, 17557, 16, 23596, 1076, 314, 2360, 5105, 5542, 19917, 475, 71, 188, 1477, 426, 475, 18914, 426, 826, 4139, 2525, 14, 2614, 353, 1076, 11641, 330, 11916, 8909, 477, 477, 25032, 2880, 4917, 13882, 5105, 4, 10, 248, 475, 5542, 28, 19513, 477, 314, 15, 188, 1308, 9867, 477, 188, 1210, 5, 684, 63, 16652, 9650, 65, 254, 16, 5, 628, 31590, 321, 1510, 5, 5542, 1390, 38811, 38457, 11033, 38811, 6474, 347, 31311, 1819, 11, 826, 647, 5, 9187, 14996, 1579, 16563, 343, 3107, 38811, 24915, 71, 14, 7449, 603, 11, 327, 2466, 1308, 261, 16, 2684, 26350, 34021, 3933, 9102, 1076, 11916, 31590, 1142, 2426, 3737, 368, 4173, 653, 282, 10, 9867, 65, 5139, 477, 20944, 188, 16825, 475, 44579, 42621, 28, 6171, 1358, 30304, 926, 16 ]

[ 1, 11, 42143, 1262, 28, 426, 603, 42143, 16, 28, 10527, 4846, 14395, 26397, 85, 647, 188, 44085, 1465, 3023, 4737, 16563, 32256, 16, 270, 7481, 647, 3026, 3178, 7481, 46177, 9431, 543, 3023, 8904, 2025, 3245, 10385, 2335, 477, 65, 44085, 14, 63, 647, 3584, 16, 28, 1819, 10, 65, 65, 65, 4737, 1541, 31311, 65, 3178, 65, 16, 367, 3175, 13323, 7704, 647, 11504, 1465, 28, 7443, 1827, 1384, 3175, 3023, 11555, 22016, 870, 3023, 9431, 16, 258, 13323, 16, 46, 65, 16, 95, 1204, 8239, 28, 1142, 13616, 3023, 264, 2176, 22016, 7910, 2002, 647, 5795, 31, 6726, 20, 72, 4015, 10, 1554, 16, 875, 18453, 11, 21862, 7443, 62, 13392, 3023, 926, 7443, 426, 82, 1510, 31, 4629, 3104, 3178, 19297, 72, 28336, 264, 65, 16, 347, 1369, 1952, 3839, 10527, 2719, 10284, 191, 13323, 2176, 10, 18, 11567, 191, 35980, 22016, 2805, 3839, 14395, 10, 3178, 282, 12295, 26693, 647, 16364, 3023, 32931, 1262, 9594, 1510, 2750, 1530, 28, 16, 65, 273, 2719, 11, 791, 867, 10, 14395, 1827, 2192, 813, 65, 5735, 14802, 11151, 28, 11, 2335, 1719, 9284, 375, 187, 477, 188, 14395, 65, 187, 2719, 2688, 7443, 3270, 59, 65, 426, 34121, 10, 1356, 25666, 13392, 188, 3104, 367, 11, 1262, 3270, 8983, 3175, 324, 2335, 3839, 10527, 11, 477, 28336, 7910, 187, 1076, 14395, 11, 426, 19, 1827, 14, 26693, 276, 1554, 7954, 22830, 4, 2192, 3104, 2192, 804, 1262, 13575, 14, 16, 258, 647, 543, 3178, 8626, 16563, 8239, 16, 1554, 20, 426, 34676, 276, 1176, 2335, 7147, 39, 25666, 10134, 85, 926, 248, 14, 16231, 82, 28966, 11, 1320, 347, 7069, 324, 17, 3839, 647, 14, 19297, 31, 1465, 53, 16, 477, 647, 17612, 65, 647, 2335, 2855, 647, 3023, 14, 647, 258, 13651, 11, 93, 647, 7481, 32931, 85, 65, 1262, 31, 16, 188, 28, 603, 35980, 9716, 2335, 647, 18453, 3023, 28, 426, 273, 16, 349, 2176, 85, 1073, 804, 4166, 4, 11, 1827, 16, 31, 1465, 22026, 38, 72, 11555, 65, 11, 65, 16, 188, 18, 349, 65, 2002, 426, 14, 2719, 11, 2305, 21862, 10527, 65, 9763, 647, 684, 18, 985, 875, 17612, 19, 1021, 1781, 347, 3104, 258, 13392, 63, 426, 16, 1819, 22026, 8721, 426, 2192, 4846, 35436, 16, 1827, 65, 22016, 19297, 867, 82, 4608, 704, 2192, 426, 432, 191, 647, 187, 65, 477, 426, 875, 4145, 10, 65, 11, 65, 870, 7073, 704, 17673, 647, 16, 187, 2682, 16, 477, 2002, 2855, 10, 2192, 804, 65, 1262, 985, 647, 647, 28, 1574, 324, 426, 2855, 39016, 1076, 15166, 65, 391, 62, 65, 2305, 3678, 65, 269, 804, 3195, 3104, 41779, 647, 3104, 3228, 1076, 11, 926, 426, 11, 391, 10, 71, 8553, 426, 2002, 5173, 3023, 14, 10, 1465, 16, 85, 9417, 187, 258, 3245, 73, 13997, 28, 82, 1510, 11, 65, 10, 14802, 16, 16, 16, 65, 4846, 14, 4015, 11555, 14395, 11, 6343, 16, 22016, 285, 2335, 65, 321, 31311, 4623, 46, 2192, 16, 550, 11, 4082, 7481, 1554, 5735, 2719, 1465, 10527, 343, 4846, 1819, 2682, 276, 1530, 82, 82, 71, 16, 65, 21862, 13106, 3350, 543, 85, 1375, 10527, 10, 5795, 4271, 46, 17612, 3270, 282, 7481, 33185, 7443, 10, 18, 11, 7443, 11555, 347, 11, 14395, 14395, 3104, 269, 7481, 41058, 1067, 647, 16239, 47616, 1952, 10, 347, 804, 1065, 7456, 3245, 191, 13616, 65, 630, 477, 10134, 630, 10337, 9763, 477, 28, 65, 14, 321, 3270, 65, 426, 2002, 3333, 28, 188, 188, 534, 10, 1827, 65, 63, 65, 1320, 11169, 3026, 65, 18, 9594, 9284, 187, 16, 9417, 3839, 1076, 5735, 21423, 426, 14, 46, 1176, 16, 28, 11169, 4, 36685, 10, 46, 269, 22016, 1554, 65, 65, 10, 2305, 1479, 426, 269, 191, 16, 13323, 2002, 9594, 16, 188, 19, 3270, 16, 477, 22016, 11, 1574, 426, 45158, 16, 65, 187, 347, 22016, 32931, 269, 7481, 191, 926, 285, 426, 647, 11, 437, 276, 39, 324, 4, 3839, 10, 3685, 31, 10, 1530, 1530, 3839, 18, 11, 34121, 85, 539, 477, 65, 367, 426, 2238, 1375, 28, 14395, 647, 65, 10, 82, 65, 10, 647, 1320, 4608, 65, 65, 1067, 1262, 2305, 28336, 1551, 8904, 41058, 9594, 3178, 647, 16680, 187, 8553, 14, 35436, 3104, 1465, 32018, 875, 16, 32553, 4846, 9417, 14226, 1952, 2335, 32553, 3839, 10527, 870, 302, 3175, 8406, 1465, 14, 1530, 2176, 426, 985, 16, 4846, 2192, 2305, 65, 1320, 298, 23442, 3270, 16, 1262, 65, 188, 65, 4, 4145, 29094, 349, 3678, 3839, 65, 276, 85, 21423, 3839, 2002, 10, 32531, 10527, 328, 324, 31, 1551, 295, 14, 347, 19, 2002, 9, 10, 2192, 16, 3195, 19, 32931, 647, 65, 3178, 2335, 7443, 65, 72, 349, 16, 10, 4629, 426, 22393, 258, 1574, 926, 264, 11151, 16, 63, 18453, 4, 1554, 426, 65, 16, 647, 2855, 16445, 7481, 647, 4166, 349, 543, 25, 347, 11, 3245, 9431, 12295, 1142, 477, 63, 7443, 191, 7481, 2176, 10, 426, 2002, 34509, 65, 11555, 13616, 65, 347, 14395, 391, 2621, 7443, 65, 1465, 95, 9594, 4846, 1262, 3584, 477, 1493, 0, 10527, 1071, 10, 1320, 188, 3270, 14, 28, 276, 3270, 324, 1827, 1339, 16, 65, 14, 9867, 1719, 14, 1554, 3023, 3023, 7481, 1465, 543, 10, 65, 14049, 33185, 16, 28, 1530, 11, 1510, 29094, 14, 1551, 16231, 3839, 85, 65, 4846, 17612, 258, 5318, 276, 3023, 16, 10, 16, 16, 187, 8721, 65, 16, 7443, 65, 59, 17612, 10337, 188, 9594, 12295, 31, 14, 16, 2002, 3933, 14, 1076, 22016, 65, 926, 8626, 3350, 258, 14, 258, 1551, 65, 10, 4737, 347, 72, 65, 65, 10, 10, 12684, 426, 73, 5173, 42143, 3839, 11, 11555, 1339, 647, 2912, 65, 10527, 34783, 2689, 9431, 46, 11504, 65, 188, 7481, 22786, 10, 65, 191, 13575, 3175, 22016, 347, 43739, 65, 7741, 16, 1210, 16, 85, 20, 10134, 65, 276, 7443, 11, 15405, 3333, 3245, 65, 10, 3719, 1067, 4608, 3839, 3584, 188, 10, 14, 1196, 426, 2224, 10284, 3104, 477, 9431, 477, 1465, 1262, 65, 2305, 603, 11033, 65, 14, 7260, 14, 426, 4, 2688, 246, 3578, 9417, 29094, 1142, 558, 65, 1551, 4271, 10096, 339, 10, 36723, 15859, 647, 17612, 10527, 28, 65, 34509 ]

[ 1, 481, 8735, 25470, 254, 8681, 7702, 14, 324, 23527, 6053, 4356, 16, 282, 37293, 348, 1970, 5534, 16, 21, 324, 751, 399, 282, 21132, 27087, 441, 272, 4320, 1460, 12890, 324, 27126, 374, 476, 46641, 353, 8478, 387, 1074, 1427, 14, 313, 311, 1368, 16, 188, 311, 6779, 27263, 16, 1129, 14, 802, 26041, 9723, 587, 580, 311, 353, 282, 2320, 1368, 39757, 324, 282, 8513, 1640, 2622, 272, 476, 14, 14, 7090, 671, 3005, 5166, 274, 939, 10504, 188, 286, 12968, 7331, 311, 348, 1903, 1920, 282, 14, 15, 10377, 368, 7732, 368, 2736, 12968, 1903, 2874, 1343, 38160, 14, 6597, 248, 16769, 933, 282, 7891, 8735, 28, 282, 1368, 1516, 8020, 1056, 39757, 254, 2874, 7089, 369, 17452, 16, 324, 311, 1316, 5696, 368, 883, 286, 3831, 286, 23, 18, 2802, 16, 953, 533, 4684, 9654, 21, 3139, 476, 14659, 37800, 3430, 1368, 1183, 14659, 1045, 248, 1585, 7414, 14, 16, 3783, 5157, 28098, 3083, 282, 4503, 12487, 21, 580, 14, 16, 1527, 8265, 3737, 14, 254, 33, 939, 54, 14129, 7406, 1908, 321, 286, 328, 274, 403, 67, 2010, 248, 5278, 1285, 328, 368, 286, 12832, 1395, 15, 41625, 17385, 10027, 15895, 327, 58, 303, 314, 14, 555, 765, 3783, 5964, 282, 86, 188, 3418, 768, 432, 327, 324, 4236, 328, 248, 4237, 452, 286, 7732, 16, 387, 16, 407, 2063, 10769, 587, 7470, 188, 2849, 15, 19870, 4513, 27543, 14, 286, 1982, 8766, 16, 8709, 14, 14, 254, 4105, 11014, 16, 6059, 1026, 254, 39757, 31056, 398, 390, 254, 4524, 872, 432, 14, 26, 390, 33762, 188, 282, 1316, 889, 282, 321, 4250, 36579, 2041, 20083, 1412, 324, 2956, 2367, 3608, 671, 1297, 3106, 81, 23, 679, 2320, 387, 11477, 843, 3268, 403, 4349, 254, 2960, 13916, 1908, 14, 1286, 343, 35530, 368, 374, 1074, 368, 282, 47530, 14, 35417, 423, 324, 272, 476, 743, 417, 368, 7090, 14, 2874, 1999, 2512, 633, 2706, 14, 14064, 16, 1096, 7286, 1982, 282, 2127, 436, 12968, 3462, 14593, 345, 26, 11873, 493, 8671, 3956, 363, 276, 29355, 354, 3425, 14, 5301, 311, 4254, 286, 20927, 22346, 1253, 14, 57, 34109, 5961, 5256, 24720, 10263, 35530, 14, 1982, 3801, 263, 307, 2859, 495, 16, 85, 1903, 3831, 747, 15, 324, 33, 16, 16, 14, 7891, 4513, 9347, 39279, 8745, 22142, 432, 274, 633, 2010, 4105, 33379, 15557, 1996, 4931, 756, 3469, 13259, 12968, 188, 403, 4311, 3116, 432, 457, 21821, 10972, 311, 1012, 328, 7559, 24720, 16, 536, 74, 321, 2433, 7395, 14745, 1063, 889, 254, 843, 22296, 328, 665, 390, 1648, 39757, 16769, 16, 286, 353, 2102, 1577, 3238, 188, 18, 15538, 14, 756, 444, 188, 16, 19419, 368, 47576, 1125, 1081, 286, 16769, 961, 436, 19164, 390, 35417, 2730, 3269, 9863, 2868, 5867, 327, 47530, 324, 390, 11282, 944, 368, 35417, 282, 2063, 311, 14, 1996, 4282, 603, 390, 9863, 15246, 40558, 19684, 368, 28108, 670, 2875, 839, 18920, 1253, 313, 274, 282, 368, 3532, 16, 33454, 368, 16, 353, 476, 39757, 1096, 2063, 248, 16, 38232, 39757, 633, 47, 19, 16, 324, 1286, 311, 328, 2133, 17076, 554, 387, 4124, 0, 38435, 5732, 4774, 25448, 14, 9723, 324, 22774, 513, 889, 436, 254, 4250, 2066, 659, 276, 8709, 354, 13966, 2622, 5529, 368, 42495, 35513, 15621, 254, 188, 254, 21, 39757, 624, 3, 1057, 286, 16, 328, 10704, 313, 5968, 3737, 286, 8, 282, 5961, 2066, 4032, 16, 27055, 619, 11, 188, 16769, 4503, 310, 889, 16, 248, 476, 17302, 33, 387, 272, 16, 14, 1580, 16, 1516, 14, 587, 1044, 18, 14, 368, 282, 368, 3692, 580, 188, 5565, 311, 6260, 286, 248, 6126, 248, 665, 4282, 835, 368, 387, 28520, 38232, 14, 9404, 35417, 869, 286, 24860, 47901, 282, 360, 14, 1817, 3379, 321, 33, 23429, 669, 9487, 4436, 751, 18980, 14, 286, 1648, 2107, 42495, 16769, 1996, 40309, 1412, 763, 35242, 12957, 286, 615, 5166, 663, 668, 1872, 390, 8185, 668, 1970, 521, 324, 6123, 2214, 286, 2482, 248, 248, 7274, 25535, 6211, 23429, 4467, 56, 1755, 14586, 282, 403, 279, 13030, 16, 2367, 286, 669, 286, 18662, 8901, 3629, 375, 16, 272, 5692, 5761, 4513, 333, 756, 5081, 6834, 747, 5532, 7090, 887, 1527, 34715, 476, 1648, 14583, 47530, 14, 7090, 8857, 476, 328, 2497, 759, 16, 33, 15538, 188, 437, 2501, 378, 254, 348, 254, 2433, 7675, 6448, 368, 9404, 843, 390, 432, 5695, 890, 311, 9404, 2063, 35530, 1581, 14311, 2874, 0, 4503, 2876, 18, 188, 915, 286, 286, 963, 963, 2081, 452, 368, 2819, 248, 576, 887, 510, 19784, 3575, 3598, 17740, 9738, 603, 10665, 1798, 14480, 248, 5146, 1316, 286, 16, 2764, 671, 282, 7012, 633, 3916, 1162, 39821, 441, 436, 2284, 3135, 663, 16, 328, 42560, 2997, 324, 254, 254, 254, 4436, 313, 390, 13259, 15557, 11330, 3379, 254, 188, 81, 7559, 26883, 25841, 354, 633, 286, 276, 748, 1368, 10637, 737, 621, 4105, 286, 3587, 353, 15, 4987, 3189, 633, 35417, 2858, 354, 4513, 282, 282, 16, 14, 3417, 2231, 1847, 2706, 286, 1656, 35417, 16, 14618, 1781, 1845, 2257, 0, 282, 1247, 5879, 887, 25470, 254, 7090, 298, 536, 18, 2010, 643, 29, 729, 5053, 390, 20, 276, 368, 14256, 286, 4743, 22636, 1450, 7045, 33, 188, 338, 188, 254, 368, 368, 10377, 28, 42495, 17965, 14, 2876, 14, 248, 28216, 3395, 54, 328, 390, 23429, 1613, 274, 16, 15, 254, 311, 3379, 633, 583, 374, 282, 324, 353, 432, 407, 188, 188, 20368, 670, 286, 679, 476, 1052, 34, 255, 641, 3585, 3260, 16, 910, 14, 16, 286, 188, 889, 4536, 18920, 889, 324, 4474, 774, 23327, 1074, 2374, 555, 5692, 872, 2982, 295, 19, 274, 669, 423, 286, 1270, 2501, 282, 286, 792, 887, 15445, 2586, 36409, 889, 274, 276, 16, 286, 848, 10271, 1330, 1603, 2432, 16, 274, 23429, 13259, 14, 21154, 5998, 272, 3425, 16769, 45232, 1606, 254, 2996, 5961, 348, 286, 248, 2868, 188, 286, 2515, 1689, 2672, 39757, 2858, 324, 14053, 19, 825, 6211, 6333, 1574, 274, 34109, 327, 18, 16, 14, 390, 6211, 314, 311, 512, 10436, 36995, 14, 286, 11660, 32267, 423, 4806, 368, 14, 6579, 587, 25470, 4105, 274, 8418, 452, 6593, 248, 12957, 303, 188, 7359, 1212, 27872 ]

[ 1, 14006, 4753, 21, 23, 20, 18, 21, 5313, 18, 18, 4466, 18, 18, 71, 25, 20, 18, 300, 347, 18, 35, 16, 1551, 14006, 16, 18, 1079, 20, 9519, 9519, 18, 19, 18, 9376, 27, 18, 521, 853, 20948, 18, 9519, 2719, 347, 2719, 12573, 16759, 18, 426, 71, 18, 347, 302, 18, 16759, 9665, 11, 1551, 25, 18, 18, 19, 22, 26, 18, 347, 35, 2719, 19298, 5313, 630, 15, 18, 18, 521, 65, 16, 18, 3500, 9665, 18, 1077, 18, 27, 18, 18, 18, 68, 65, 2344, 18, 16, 18, 70, 28, 5313, 21, 10, 18, 16, 18, 426, 24, 521, 1465, 11916, 16759, 61, 18, 18, 18, 18, 4753, 61, 18, 347, 20, 567, 521, 19, 21, 18, 1534, 1035, 14006, 61, 18, 18, 23, 65, 16759, 18, 426, 61, 21, 521, 647, 9519, 18, 27, 18, 26, 19, 567, 10, 18, 295, 28, 18, 14, 18, 27, 1079, 19298, 14638, 9519, 19, 647, 4937, 521, 300, 19, 35, 251, 18, 477, 477, 18, 18, 18, 521, 9519, 3500, 20, 2719, 2719, 27, 1465, 10309, 20, 10, 1077, 18, 9519, 20, 3500, 6315, 16011, 10740, 18, 14006, 2484, 12573, 5238, 14006, 35, 18, 7630, 3500, 22934, 300, 65, 426, 24, 1551, 16, 18, 347, 3500, 1077, 18, 67, 18, 4678, 16, 24, 20, 1079, 18, 1551, 1551, 19, 6185, 22, 18696, 20, 567, 35, 27820, 15, 35509, 35, 18, 18, 20, 1443, 22343, 18, 18, 18, 1465, 347, 9519, 18, 3500, 23, 21, 18, 2192, 18, 15, 647, 16011, 5313, 295, 14, 1067, 20, 521, 20, 61, 26, 18, 15, 18, 71, 5313, 18, 18, 22934, 19298, 9519, 251, 18, 18, 512, 19, 2719, 2719, 19298, 21, 35, 65, 68, 477, 6185, 346, 18, 9, 18, 89, 647, 477, 14006, 18, 9, 1077, 14, 477, 3064, 521, 18, 21, 14006, 18, 477, 19, 1359, 343, 1003, 21, 9665, 16, 24, 1079, 18, 1551, 18, 18, 18, 647, 343, 18, 26, 65, 3064, 25, 3064, 21, 26, 69, 18, 65, 31311, 477, 1551, 2719, 2719, 18, 1551, 27, 15, 20, 3500, 18, 18, 10, 20, 18, 300, 251, 18, 28, 10445, 5216, 18, 19, 2719, 18, 18, 29671, 61, 18, 18, 5313, 21, 18, 2719, 18, 69, 9519, 5313, 18, 18, 1079, 426, 10, 347, 11016, 647, 20855, 18, 24, 477, 10, 26, 25, 14006, 19, 18, 20, 1551, 27, 23, 19, 20, 19, 18, 1855, 521, 302, 20, 426, 35, 27, 18696, 18, 521, 18, 18, 18, 4862, 1067, 18, 70, 18, 11, 16, 346, 16, 11191, 16, 10, 346, 20, 18, 72, 521, 26, 69, 23, 985, 69, 65, 12494, 18, 35, 18, 19, 521, 9, 18, 1079, 18, 19, 20, 70, 18, 4678, 89, 18368, 346, 20, 346, 18, 35, 18, 9607, 521, 16, 477, 65, 68, 65, 477, 18, 295, 72, 426, 18, 2026, 1079, 1067, 18, 24, 18, 7630, 18, 65, 10, 5216, 18, 1510, 985, 5868, 295, 24, 9607, 24088, 521, 2057, 67, 18, 14006, 28, 9519, 22, 14006, 22, 20855, 18, 20, 477, 21, 18, 18, 346, 20, 1003, 1003, 477, 18, 20, 1465, 21, 18, 1077, 1465, 343, 18, 4753, 853, 521, 477, 20, 18, 71, 18, 21, 1077, 27, 16, 18, 985, 4678, 18368, 18, 27820, 14438, 18368, 65, 20, 1067, 39, 3684, 251, 18, 18, 20948, 985, 343, 295, 1079, 23, 20, 18, 18, 647, 343, 18, 2057, 31, 3500, 18, 18970, 9519, 68, 3500, 14638, 521, 18, 27, 18, 16, 2719, 346, 65, 19, 18, 1077, 5216, 419, 521, 18, 18, 18, 4753, 35, 7773, 19, 20, 70, 18, 521, 647, 477, 1077, 65, 18, 18, 6185, 251, 20948, 26, 20948, 9, 18, 18970, 18, 16, 65, 21, 14438, 22, 24, 1443, 18, 347, 10, 343, 18, 3500, 14006, 21, 18, 22934, 18, 18, 61, 4753, 343, 18, 10445, 10, 28, 25, 27820, 18, 61, 65, 35, 14, 23, 985, 1079, 27, 18, 9519, 647, 1551, 477, 251, 9376, 2719, 18, 24, 26, 9, 2719, 2719, 10740, 18, 251, 89, 14006, 28, 2719, 19, 300, 346, 20, 20855, 29671, 985, 18, 18, 9, 343, 647, 22, 65, 512, 12494, 521, 16, 10, 5216, 295, 9519, 20, 19, 9519, 6185, 477, 21, 89, 23, 24088, 426, 1077, 7630, 2719, 70, 70, 21, 23, 23, 521, 18, 1534, 18, 18, 26, 71, 2719, 5216, 10297, 16, 9519, 65, 26152, 28, 18, 35, 27, 42524, 6185, 3500, 18, 477, 1551, 295, 18, 9665, 22, 18, 18, 1056, 16, 521, 346, 22934, 68, 300, 18368, 1067, 65, 11, 61, 300, 65, 9, 18, 14438, 18, 521, 426, 18368, 35, 18, 18, 419, 35, 21, 5216, 9665, 22, 18, 61, 18, 18851, 18, 20, 15, 21, 347, 6484, 16, 70, 18, 25, 27, 20, 2719, 65, 15226, 18, 18, 4774, 6185, 20948, 18, 61, 18, 18, 9665, 9519, 65, 70, 18851, 28, 26, 89, 2694, 419, 70, 65, 18, 16759, 1855, 21, 5313, 1077, 2719, 18, 71, 477, 18, 3500, 71, 22, 27, 1465, 347, 22, 70, 18, 11016, 2719, 973, 18, 27, 21, 1079, 10, 70, 10, 295, 18, 477, 18, 346, 10, 11016, 477, 16, 2719, 20, 300, 295, 647, 477, 20, 19, 22, 18, 27, 20, 25, 9665, 14438, 9607, 647, 419, 25, 61, 10740, 27, 18, 477, 18, 1551, 1079, 16759, 2719, 65, 343, 28, 9665, 16, 419, 12494, 20948, 3500, 188, 19, 1847, 19, 72, 18, 2719, 68, 1079, 2484, 18, 29975, 9, 14006, 295, 567, 3500, 567, 23, 27820, 15226, 5313, 426, 14006, 347, 14006, 1551, 20, 35, 9, 20855, 25, 65, 1079, 61, 29975, 61, 11191, 22, 19, 19, 67, 42524, 69, 27820, 477, 28, 18, 3064, 18, 18, 20, 18, 521, 9189, 32467, 295, 14438, 23, 18, 4, 18, 346, 5313, 426, 20, 16, 70, 347, 18, 1864, 18, 5313, 1077, 18, 18, 18, 26, 18, 10, 18, 18, 28, 2719, 1077, 65, 18, 15226, 647, 9, 521, 16759, 18, 71, 985, 18, 9, 28, 14006, 69, 347, 19298, 14006, 18, 343, 300, 19, 20948, 2719, 18, 14006, 1551, 16, 18970, 343, 4678, 300, 18, 10309, 18, 35, 70, 27820, 42524, 14438, 477, 346, 18, 18, 10445, 22, 26, 188, 1067, 65, 1551, 300, 27, 14638, 18 ]

[ 1, 16, 12078, 27756, 274, 1631, 27, 85, 3005, 282, 36201, 12208, 1360, 14, 14, 272, 348, 466, 533, 274, 561, 2705, 282, 466, 14, 274, 1507, 457, 9709, 476, 380, 4434, 14, 479, 16010, 796, 1389, 756, 41847, 274, 1002, 274, 26110, 626, 1397, 7340, 85, 85, 2314, 2314, 10597, 8035, 345, 248, 2482, 1045, 286, 276, 563, 248, 3339, 457, 18, 479, 311, 282, 5682, 16, 624, 387, 27421, 4780, 785, 732, 819, 14, 1051, 16, 14, 349, 5150, 272, 310, 1045, 27, 2739, 85, 27, 5722, 19, 282, 360, 6119, 14, 6905, 274, 282, 1045, 4313, 4631, 311, 836, 3899, 314, 254, 532, 254, 466, 2906, 19617, 597, 286, 254, 1631, 1993, 10592, 286, 9994, 432, 835, 36238, 12691, 19, 6995, 436, 27, 432, 254, 9994, 1874, 327, 21108, 418, 3005, 282, 286, 24763, 310, 21797, 2250, 27, 34009, 1416, 14, 85, 440, 31850, 2515, 61, 2008, 12968, 248, 2008, 310, 14, 1397, 16, 311, 254, 417, 683, 16034, 17118, 14, 15, 713, 457, 19, 2897, 274, 3233, 476, 3997, 2574, 2156, 6826, 2361, 16090, 273, 85, 274, 573, 457, 12659, 19, 14, 274, 1393, 188, 4797, 4502, 14, 269, 16, 4743, 2893, 785, 14, 13631, 12055, 436, 3416, 310, 274, 616, 512, 14, 322, 1143, 14954, 10597, 14, 254, 1002, 6431, 6477, 1141, 22, 254, 16, 20237, 2956, 2109, 86, 4743, 390, 348, 457, 9642, 248, 254, 30051, 3005, 2956, 939, 276, 1999, 328, 5211, 2075, 9306, 960, 869, 388, 31849, 15, 739, 17367, 85, 915, 14, 5353, 254, 274, 27, 555, 286, 2107, 254, 14, 29246, 310, 15964, 826, 282, 3335, 324, 2318, 257, 16, 286, 40388, 388, 16, 1497, 254, 9306, 35515, 9306, 785, 836, 27, 9118, 561, 4921, 2884, 265, 343, 310, 274, 713, 1111, 713, 274, 368, 85, 3055, 1012, 1603, 4313, 286, 85, 3591, 713, 348, 10597, 276, 6344, 2714, 254, 1004, 35466, 311, 3447, 1171, 686, 46, 16924, 16, 248, 6106, 14, 1198, 785, 14, 1903, 276, 44949, 1838, 1181, 825, 29717, 1311, 1033, 836, 248, 8788, 14, 27, 14, 6119, 3624, 348, 15790, 1303, 16, 274, 338, 663, 14, 10388, 254, 15, 457, 8138, 315, 825, 457, 403, 286, 888, 3669, 4800, 282, 39586, 34009, 16, 6301, 1111, 343, 3065, 254, 14, 4061, 282, 388, 26, 532, 2169, 1116, 282, 25311, 274, 286, 1045, 369, 671, 1111, 14, 63, 254, 254, 9104, 27, 86, 274, 25129, 295, 328, 15299, 1579, 14, 1315, 40388, 2079, 5473, 4213, 1360, 785, 27, 5645, 1268, 10597, 403, 2150, 615, 1868, 618, 1868, 14, 286, 1246, 6923, 900, 29, 9150, 27, 6119, 1111, 254, 4716, 254, 1926, 1393, 4797, 254, 1232, 14, 274, 9994, 568, 532, 3032, 422, 319, 272, 85, 1213, 14, 1241, 282, 5645, 286, 390, 360, 248, 3005, 274, 1026, 19, 4793, 3681, 14, 14, 1837, 6450, 388, 16002, 29, 395, 286, 26110, 310, 14, 769, 5264, 327, 14, 23660, 343, 3155, 28, 282, 457, 15, 310, 5108, 2109, 457, 38390, 286, 3004, 15373, 14, 27, 16, 274, 2057, 16, 248, 12659, 3032, 624, 807, 6215, 286, 327, 19287, 71, 274, 398, 6119, 3899, 1988, 841, 14, 15491, 695, 5108, 1360, 282, 14, 27, 286, 348, 1360, 85, 2739, 42984, 276, 13653, 16, 16, 35078, 276, 1111, 774, 620, 343, 9994, 387, 1665, 785, 457, 1232, 7346, 16, 7966, 4766, 19, 388, 2838, 12312, 15, 4221, 16, 387, 16, 19331, 836, 615, 2731, 666, 16, 5682, 432, 274, 348, 1026, 670, 20, 15308, 12124, 16, 380, 2705, 286, 16, 19811, 16, 85, 19, 327, 1578, 327, 3432, 2034, 343, 2008, 4706, 16, 366, 662, 3461, 327, 34495, 24, 7353, 2486, 282, 388, 466, 18, 282, 282, 6119, 16, 3005, 282, 248, 274, 44682, 1993, 387, 18894, 2778, 9994, 1733, 1116, 327, 254, 9003, 496, 85, 274, 1269, 918, 1408, 322, 14, 380, 785, 6119, 254, 3652, 286, 274, 3964, 9306, 315, 276, 1336, 17578, 4315, 457, 7136, 32233, 36695, 248, 188, 6141, 16, 10597, 1093, 16, 14, 785, 343, 394, 407, 85, 311, 5767, 4434, 457, 785, 663, 756, 327, 315, 327, 31914, 801, 3033, 1652, 4716, 286, 346, 819, 5776, 14, 254, 353, 6119, 286, 8093, 1002, 1041, 545, 1623, 42618, 265, 16, 6119, 2956, 2897, 695, 28194, 26110, 388, 5374, 1699, 1606, 6344, 254, 23694, 338, 23375, 1111, 616, 327, 327, 418, 2705, 25600, 286, 1360, 388, 1260, 43, 14, 282, 668, 338, 1111, 276, 274, 1503, 1111, 14, 3409, 1579, 436, 368, 188, 14, 85, 1579, 310, 626, 2674, 19331, 254, 8775, 3632, 274, 688, 11, 16, 29, 4168, 188, 1062, 2003, 6795, 41847, 388, 353, 18709, 27, 286, 276, 348, 282, 286, 348, 826, 188, 2631, 457, 13830, 85, 3252, 254, 466, 497, 1872, 14, 274, 14, 3614, 1512, 248, 387, 603, 85, 327, 977, 9739, 417, 16298, 9220, 457, 30273, 432, 3591, 8948, 274, 2631, 479, 315, 348, 1129, 671, 26, 12208, 272, 11073, 20228, 274, 6682, 286, 869, 8121, 329, 2705, 2778, 14, 1111, 84, 4706, 466, 27, 743, 1061, 15620, 2471, 27787, 1309, 17236, 3355, 353, 11003, 898, 15790, 8728, 1232, 286, 310, 254, 5211, 388, 2739, 5923, 721, 432, 10597, 2956, 14, 274, 254, 974, 26110, 2780, 274, 47611, 4856, 16, 254, 432, 418, 27, 4743, 457, 27, 369, 254, 343, 248, 775, 16, 3948, 5261, 14, 310, 1699, 5961, 4716, 457, 348, 328, 1919, 254, 5983, 1423, 16, 14, 754, 2304, 715, 14114, 276, 14, 573, 7602, 188, 390, 282, 669, 14, 16, 310, 17402, 1223, 2486, 466, 2471, 188, 85, 274, 9994, 387, 332, 2696, 27350, 16, 1360, 310, 1887, 756, 10067, 274, 274, 2028, 274, 2328, 466, 274, 31189, 1111, 388, 16, 457, 6653, 8117, 5799, 466, 3136, 6119, 274, 345, 274, 1919, 17129, 14, 2144, 272, 67, 466, 4221, 29, 2033, 2838, 624, 17118, 15, 254, 713, 274, 944, 5682, 1026, 1350, 254, 390, 44682, 273, 688, 282, 2298, 5910, 388, 2818, 436, 380, 10597, 14, 2411, 1062, 18469, 769, 48193, 2107, 1330, 8728, 6119, 1021, 5697, 417, 6995, 343, 2134, 274, 432, 888, 24, 328, 457, 433, 1041, 310, 369, 1464, 769, 41847, 16, 9306, 3632, 40648, 457, 2574, 1868, 395, 16, 387, 825, 618, 16282, 729, 3409, 16, 2150, 14, 286 ]

[ 1, 15921, 3498, 35, 743, 398, 46817, 14, 35, 6646, 248, 188, 254, 343, 373, 374, 269, 16273, 2034, 395, 497, 16, 4243, 7110, 248, 663, 3887, 4467, 2244, 15819, 36, 5048, 286, 72, 452, 14, 510, 593, 2244, 14, 434, 254, 1603, 1253, 2871, 2866, 743, 11842, 41886, 432, 345, 2463, 2824, 12464, 434, 1241, 16, 963, 32648, 1208, 4669, 22519, 1480, 26052, 8835, 387, 35636, 1345, 2568, 12096, 282, 929, 16728, 5372, 669, 19650, 1711, 15, 2886, 14, 8535, 16, 8199, 15207, 6611, 596, 311, 13208, 248, 14228, 328, 10466, 248, 311, 2453, 85, 12117, 42829, 387, 12369, 1928, 286, 23319, 39596, 8573, 6249, 2442, 1090, 20345, 2497, 407, 593, 520, 188, 555, 16, 45675, 4669, 407, 188, 3699, 2342, 45182, 34508, 286, 4669, 1482, 330, 763, 254, 8680, 13743, 669, 24248, 4669, 2883, 16, 28514, 282, 188, 286, 4707, 1297, 432, 16, 30092, 286, 13069, 1284, 15, 16, 44772, 7158, 441, 892, 27223, 5926, 298, 265, 2225, 35449, 651, 7223, 7956, 14, 188, 510, 368, 188, 343, 1312, 1223, 1887, 348, 1219, 776, 16144, 24898, 1849, 1782, 11006, 31842, 26151, 22239, 23734, 2963, 593, 22944, 7323, 348, 4136, 11023, 4661, 8680, 16, 2886, 2886, 651, 16, 3721, 434, 343, 5225, 407, 963, 5372, 4297, 581, 3640, 29, 286, 45675, 15, 14, 1711, 254, 14871, 188, 1382, 343, 2878, 330, 29724, 1711, 332, 6226, 432, 15819, 15600, 8725, 282, 35, 2958, 10032, 10200, 14797, 288, 286, 274, 1241, 330, 11988, 1045, 2342, 561, 15, 254, 4270, 16, 1379, 14, 1849, 19, 16, 3196, 33, 551, 14, 9582, 26578, 18213, 188, 1711, 254, 2049, 387, 510, 276, 1045, 254, 14, 19, 1849, 188, 12451, 10152, 308, 26996, 655, 6612, 512, 23342, 2824, 9629, 68, 14, 286, 248, 3721, 14, 330, 529, 286, 11174, 4890, 1865, 454, 4221, 2367, 9587, 12061, 3, 14, 9748, 36436, 2886, 4751, 15, 324, 885, 248, 248, 286, 1162, 15111, 841, 6856, 16, 418, 8680, 254, 1427, 18, 3687, 432, 14, 15654, 1711, 30913, 1006, 27235, 285, 555, 43159, 9380, 651, 713, 16, 333, 270, 35449, 5577, 11174, 11, 1368, 6319, 286, 16, 282, 16, 2391, 274, 286, 361, 19, 2886, 276, 2741, 818, 279, 3015, 9629, 16763, 2866, 369, 28, 282, 330, 27026, 8680, 8712, 2886, 465, 324, 254, 3326, 359, 12939, 286, 16, 3292, 18334, 254, 254, 268, 276, 1444, 314, 10032, 45426, 41, 16, 3551, 321, 750, 35323, 46962, 327, 23, 1256, 16, 569, 1572, 5935, 495, 1949, 569, 23850, 26565, 2564, 5444, 17608, 1057, 515, 750, 5832, 3402, 274, 188, 651, 28, 16, 0, 328, 286, 15, 14693, 286, 254, 188, 1711, 651, 15, 747, 2133, 1782, 9629, 5372, 8760, 311, 16, 13602, 5138, 8712, 1849, 17058, 1711, 22862, 16, 248, 11125, 294, 43159, 254, 4333, 5603, 276, 188, 5258, 16, 434, 580, 6342, 4523, 18, 484, 2564, 387, 3277, 750, 529, 6990, 28976, 5444, 254, 9109, 436, 1775, 5981, 343, 16, 36176, 17460, 274, 26578, 14696, 737, 15819, 5342, 343, 331, 188, 282, 314, 1849, 274, 37, 2019, 188, 13810, 324, 642, 1090, 21771, 31526, 274, 254, 26142, 25870, 338, 529, 17058, 2470, 2564, 3198, 1493, 6010, 6687, 20957, 4589, 286, 14641, 14, 587, 5769, 311, 14, 274, 327, 3238, 2886, 270, 298, 615, 348, 188, 5232, 1711, 27588, 44, 624, 345, 286, 1711, 286, 1922, 1922, 298, 41280, 248, 2436, 8760, 2125, 330, 1336, 4474, 188, 276, 510, 7972, 2515, 15, 5734, 248, 1781, 2038, 2009, 348, 10864, 587, 14, 274, 4556, 14, 434, 4793, 4959, 330, 12979, 3746, 2705, 399, 2413, 387, 345, 747, 642, 42, 10824, 6236, 254, 345, 16, 328, 16, 624, 25647, 1919, 1711, 327, 369, 14408, 188, 248, 4589, 801, 3845, 345, 9298, 1028, 7124, 651, 506, 1081, 8484, 4099, 390, 4117, 17243, 36184, 16, 254, 418, 15, 85, 6240, 1896, 248, 1782, 14, 37306, 276, 2453, 5081, 3912, 11118, 42731, 6766, 324, 434, 14, 43539, 248, 896, 286, 14, 188, 14696, 41123, 1849, 14, 274, 2022, 254, 282, 663, 5486, 16, 22, 10572, 2371, 4941, 274, 25889, 665, 74, 18, 1442, 2674, 15, 830, 2244, 747, 2582, 4669, 1348, 1081, 2704, 4340, 345, 331, 257, 20120, 458, 4565, 2239, 18, 593, 1526, 14161, 3, 13962, 2575, 5444, 2965, 324, 6339, 42, 21646, 19521, 282, 1544, 743, 407, 248, 45213, 9023, 1709, 17058, 8950, 53, 14, 254, 30730, 16, 14, 2453, 274, 35, 47866, 434, 348, 9230, 2024, 17058, 432, 343, 587, 651, 580, 5832, 23850, 1395, 1691, 74, 374, 830, 8680, 8680, 756, 9, 311, 314, 276, 6225, 1648, 343, 2245, 1701, 254, 9230, 16, 5372, 526, 27, 1074, 8166, 276, 311, 274, 32150, 14, 9495, 4669, 6029, 34353, 643, 343, 304, 17058, 2019, 814, 8680, 368, 248, 32474, 248, 533, 25238, 651, 1312, 2104, 1045, 7047, 269, 14408, 390, 15, 1806, 286, 16, 0, 529, 328, 188, 369, 1074, 343, 2740, 2006, 403, 8089, 4099, 14, 327, 14, 20365, 7885, 274, 328, 4959, 36826, 282, 14437, 984, 15, 6000, 9, 13278, 4422, 6333, 348, 4602, 2410, 16, 32466, 4669, 7752, 4467, 3443, 1642, 248, 7700, 8810, 12142, 9646, 3605, 12676, 12976, 7012, 20120, 11876, 14, 1074, 324, 188, 321, 36271, 282, 311, 248, 254, 43603, 1012, 756, 14, 6729, 343, 399, 581, 3101, 15, 15083, 14797, 1396, 43597, 286, 26773, 8680, 5416, 286, 14, 10109, 5742, 3447, 23964, 5444, 28, 6709, 276, 2391, 3292, 40005, 345, 295, 626, 33873, 4869, 31282, 2564, 1922, 5999, 15, 276, 45500, 13810, 2527, 2065, 3780, 1207, 273, 18742, 7753, 10781, 15, 13083, 274, 737, 188, 625, 14, 273, 12102, 977, 286, 254, 188, 254, 343, 343, 274, 1012, 638, 14740, 2537, 1441, 3406, 282, 434, 651, 3661, 16, 1701, 16, 11118, 254, 432, 16, 587, 248, 348, 1081, 651, 330, 2511, 5048, 510, 15, 8574, 8293, 380, 15, 327, 327, 30038, 520, 10602, 587, 247, 6225, 273, 888, 21311, 1036, 3313, 16, 606, 371, 763, 18147, 374, 7020, 2703, 555, 302, 633, 274, 747, 34955, 7286, 21453, 328, 286, 421, 343, 343, 1856, 7814, 16, 10132, 3746, 2049, 348, 4585, 16, 8251, 4585, 254, 324, 282, 5742, 3225, 311, 343, 14, 1036, 12917, 19, 286, 434, 8300, 18475, 274, 311, 248, 321, 6527, 286, 16, 16, 20792, 743, 35, 330 ]

[ 1, 36408, 88, 20842, 3112, 248, 314, 10964, 39042, 713, 2474, 6896, 16, 88, 748, 11213, 1063, 1050, 3282, 483, 843, 1623, 282, 802, 855, 417, 296, 254, 2723, 981, 405, 286, 615, 1316, 25394, 16, 18942, 7242, 3891, 13802, 8535, 14, 889, 842, 248, 275, 6982, 360, 15, 512, 3332, 388, 4619, 324, 16, 974, 262, 33223, 188, 997, 816, 2065, 1773, 274, 312, 14, 24087, 296, 16, 432, 35640, 1863, 13350, 28, 71, 286, 16, 256, 409, 362, 843, 792, 615, 2950, 3362, 248, 3248, 12653, 14, 20252, 257, 27057, 512, 2575, 1220, 266, 3001, 369, 2154, 88, 3112, 688, 573, 14, 14, 596, 1842, 33223, 16, 17871, 37564, 248, 45019, 14, 3783, 596, 1401, 3545, 15, 15886, 512, 480, 271, 296, 16, 254, 16, 282, 16, 1034, 1181, 2575, 19, 548, 4759, 889, 1020, 14, 88, 596, 328, 3984, 254, 2575, 5479, 3817, 3358, 254, 1906, 843, 274, 276, 8189, 687, 311, 14, 601, 9999, 13394, 282, 14, 3817, 1316, 274, 34242, 14, 274, 471, 286, 45579, 282, 887, 14, 254, 344, 843, 1362, 274, 296, 2350, 4130, 258, 5166, 22294, 16173, 312, 12537, 9443, 8136, 792, 626, 33, 3799, 90, 90, 14, 3409, 324, 328, 328, 1843, 34647, 4436, 14, 296, 313, 16, 2409, 348, 2423, 24949, 282, 2144, 254, 3337, 88, 671, 1843, 6950, 188, 90, 286, 1051, 274, 663, 9012, 254, 25149, 436, 793, 14, 1626, 1396, 387, 8136, 39109, 312, 75, 296, 394, 23322, 14, 27662, 27209, 1200, 792, 3963, 512, 843, 85, 9034, 2575, 4513, 88, 312, 497, 11062, 16439, 14, 17, 286, 5979, 1143, 579, 25098, 2556, 14, 9180, 286, 16, 512, 282, 11660, 593, 348, 37781, 14, 45218, 188, 512, 802, 436, 19773, 1863, 3854, 792, 248, 286, 254, 1200, 14, 14, 17419, 254, 286, 254, 254, 1683, 507, 36480, 641, 521, 16, 4593, 312, 24939, 312, 499, 296, 274, 90, 10885, 6165, 5591, 348, 2350, 254, 580, 3112, 296, 2342, 188, 2992, 312, 324, 276, 9988, 596, 16, 14529, 1402, 27501, 597, 889, 512, 90, 16, 312, 1314, 254, 14, 601, 8859, 286, 345, 596, 888, 2575, 14529, 8333, 45634, 0, 330, 388, 1869, 286, 16, 3783, 296, 2468, 11979, 8770, 312, 2978, 11419, 1788, 16, 408, 596, 843, 7046, 34298, 1906, 327, 257, 273, 16, 8136, 432, 254, 27124, 1200, 16, 14, 254, 4220, 792, 3324, 12552, 792, 830, 254, 1063, 286, 5514, 792, 775, 889, 254, 417, 823, 38141, 293, 5979, 42308, 254, 82, 1843, 265, 6950, 90, 8136, 405, 6323, 3544, 286, 552, 369, 417, 282, 26977, 88, 286, 282, 843, 14737, 1390, 282, 4883, 889, 16, 32036, 1063, 348, 296, 19714, 1636, 596, 4619, 1164, 4827, 29395, 286, 1843, 1333, 12641, 27672, 36, 888, 385, 24536, 286, 512, 5161, 2184, 1593, 405, 286, 499, 315, 4275, 4684, 1390, 88, 843, 254, 14529, 603, 29067, 37460, 3535, 17532, 889, 274, 296, 1200, 247, 4694, 1562, 569, 88, 729, 345, 1333, 90, 6410, 439, 24616, 3112, 2325, 16, 47, 90, 286, 465, 254, 276, 327, 16, 282, 1577, 499, 1649, 14, 7212, 42815, 345, 282, 1055, 1078, 29395, 36175, 274, 14, 14170, 679, 4259, 2575, 28930, 283, 10256, 313, 843, 14, 1093, 254, 520, 807, 369, 343, 343, 398, 843, 862, 282, 2350, 348, 626, 353, 257, 254, 274, 479, 15, 296, 254, 348, 39479, 262, 312, 1443, 18256, 3183, 254, 17130, 254, 279, 90, 14, 843, 626, 518, 792, 792, 21619, 671, 85, 684, 90, 286, 14, 28, 1200, 33955, 286, 2080, 16, 34897, 248, 16, 7802, 14595, 13731, 663, 22832, 889, 772, 949, 20842, 270, 398, 274, 299, 274, 3240, 526, 282, 16, 248, 2292, 286, 1076, 512, 90, 2144, 11215, 9122, 188, 26329, 296, 9668, 90, 614, 264, 343, 286, 254, 72, 1443, 44726, 521, 843, 265, 1385, 2144, 889, 312, 792, 19534, 5869, 90, 14, 312, 14, 499, 3248, 775, 19524, 282, 1843, 512, 369, 1232, 282, 16, 3387, 520, 512, 312, 12511, 254, 254, 2008, 702, 286, 29496, 369, 14, 248, 883, 286, 1247, 543, 254, 282, 1143, 45891, 254, 26368, 282, 25911, 16, 889, 12641, 2350, 257, 8136, 573, 282, 2144, 1815, 1090, 7777, 188, 9781, 22832, 1093, 4443, 88, 254, 532, 6170, 4980, 1269, 802, 8724, 81, 841, 16, 40345, 3889, 596, 282, 497, 6832, 17853, 7747, 14, 343, 254, 25638, 29395, 2334, 1125, 792, 2000, 282, 701, 88, 792, 188, 454, 843, 3828, 25213, 46286, 641, 16, 46470, 7457, 479, 4349, 30853, 792, 596, 343, 485, 14, 27229, 9034, 3035, 88, 14, 348, 335, 1577, 2766, 327, 286, 15627, 20030, 2445, 7401, 254, 282, 278, 288, 88, 1577, 286, 4349, 1247, 22139, 297, 29395, 407, 596, 2731, 2342, 274, 312, 596, 43638, 26, 282, 749, 345, 3768, 353, 88, 17130, 75, 6418, 313, 14529, 792, 632, 19, 20291, 17, 14, 889, 11009, 10659, 601, 34674, 16, 286, 843, 276, 1469, 7522, 679, 274, 285, 17, 792, 843, 10438, 843, 5838, 276, 5213, 10399, 888, 282, 843, 1795, 454, 282, 1538, 14, 327, 9896, 250, 21533, 1143, 313, 2893, 67, 6418, 282, 801, 324, 456, 2770, 90, 8817, 254, 261, 729, 843, 11249, 641, 16, 88, 254, 2453, 296, 729, 2151, 792, 596, 11067, 889, 35131, 1910, 3194, 615, 1788, 889, 254, 33438, 343, 757, 254, 274, 387, 8136, 648, 1581, 327, 398, 312, 2154, 14, 312, 254, 758, 328, 1443, 14461, 14, 756, 11067, 286, 1063, 16, 9145, 282, 4658, 16, 841, 1568, 296, 276, 1507, 1619, 90, 371, 254, 327, 69, 254, 296, 811, 369, 889, 276, 561, 274, 596, 385, 1093, 5952, 2509, 254, 3285, 15, 2565, 596, 400, 188, 14, 273, 16011, 512, 10964, 1464, 4212, 254, 889, 254, 1200, 792, 1057, 312, 29395, 282, 4140, 11067, 24710, 7578, 276, 7082, 14, 88, 7266, 398, 16, 891, 701, 276, 889, 641, 282, 1843, 88, 889, 313, 1612, 254, 27, 4811, 282, 90, 312, 276, 286, 282, 296, 729, 26446, 315, 775, 254, 2399, 15727, 1068, 276, 1843, 1448, 6913, 6692, 1322, 28, 257, 423, 11216, 889, 274, 2483, 2111, 254, 4032, 1269, 38230, 90, 274, 11, 10886, 282, 1482, 10824, 3063, 14, 6410, 14529, 90, 17322, 5372, 8136, 11979, 88, 295, 352, 357, 254, 14, 276, 18568, 254, 254, 14529 ]

[ 1, 4436, 188, 2706, 9115, 254, 348, 9461, 11728, 1852, 432, 14, 22403, 4615, 286, 819, 2023, 286, 7169, 898, 836, 10, 274, 633, 4436, 4436, 2468, 282, 10949, 387, 21071, 254, 2023, 1648, 327, 40774, 1920, 452, 188, 642, 642, 900, 6454, 2632, 1558, 6211, 4311, 321, 32090, 368, 441, 254, 1558, 274, 274, 321, 282, 16734, 11601, 7403, 5897, 248, 403, 2186, 14, 18, 9241, 254, 407, 254, 15013, 254, 32262, 188, 510, 286, 248, 2662, 457, 3258, 633, 7403, 32090, 3453, 14, 3134, 1678, 248, 633, 1423, 32090, 324, 7050, 38894, 254, 353, 274, 282, 4859, 14, 14, 28, 387, 2320, 14, 407, 6326, 276, 2863, 3134, 743, 1558, 14, 407, 21071, 15480, 7403, 2066, 368, 5346, 407, 9961, 877, 16, 390, 282, 4426, 743, 642, 1899, 282, 324, 2719, 6607, 390, 1395, 1558, 512, 327, 3603, 23407, 25706, 12498, 14, 758, 348, 34, 1558, 390, 10099, 633, 2038, 343, 11791, 282, 282, 282, 282, 3629, 3373, 274, 2996, 390, 1659, 282, 665, 32090, 4168, 35953, 35403, 328, 6454, 2449, 13511, 4139, 11882, 9806, 555, 729, 587, 274, 633, 441, 16, 14627, 390, 343, 1260, 6454, 28181, 2186, 9241, 4226, 3027, 2449, 282, 2218, 1767, 32090, 286, 642, 28849, 368, 360, 18031, 1162, 756, 14, 282, 21071, 25847, 21071, 633, 665, 368, 1767, 1460, 6454, 758, 35570, 1354, 836, 7403, 8902, 15480, 16, 27, 3054, 4254, 772, 321, 254, 642, 407, 4436, 1842, 807, 188, 11728, 390, 21019, 14, 360, 1841, 4513, 8610, 2525, 10215, 1558, 21071, 324, 276, 390, 248, 1558, 1558, 4311, 254, 254, 254, 10835, 6409, 695, 1834, 188, 665, 2023, 3860, 390, 417, 14, 3252, 282, 7403, 248, 324, 2517, 85, 7169, 2181, 282, 286, 12816, 900, 1767, 1368, 2725, 6454, 587, 32090, 3835, 633, 1286, 19144, 254, 665, 633, 407, 2349, 1521, 2863, 14, 25847, 16, 16, 32090, 286, 7382, 21071, 1141, 1582, 889, 758, 587, 1026, 32090, 15903, 21071, 21, 2896, 343, 32090, 343, 15718, 28320, 286, 32215, 16, 15468, 368, 5861, 376, 2896, 248, 889, 360, 4615, 6454, 360, 1390, 29, 3202, 314, 390, 1610, 665, 642, 286, 21071, 17166, 274, 1558, 16, 21071, 2497, 368, 3203, 86, 254, 633, 2080, 343, 4130, 254, 1558, 14, 311, 980, 5351, 772, 282, 17461, 40669, 390, 8326, 743, 2863, 4859, 3258, 21071, 1495, 587, 360, 11339, 390, 23808, 1212, 276, 4226, 960, 836, 2543, 642, 368, 282, 4436, 3258, 13493, 2896, 1558, 282, 1558, 785, 254, 1212, 417, 7688, 3089, 390, 6454, 1558, 11201, 1360, 633, 668, 188, 1558, 368, 18643, 311, 14, 188, 1899, 282, 14, 772, 772, 274, 12816, 32090, 21071, 254, 324, 665, 286, 5346, 407, 7403, 21071, 1042, 688, 1558, 889, 898, 188, 9607, 348, 2992, 21071, 21071, 390, 23689, 328, 390, 254, 338, 327, 21071, 898, 368, 324, 7403, 368, 1865, 417, 7403, 7403, 7403, 633, 2859, 603, 4479, 665, 1678, 274, 7403, 254, 1648, 1395, 16, 10835, 7403, 368, 2347, 6454, 772, 321, 40669, 16, 18643, 1339, 7957, 282, 5041, 4076, 2730, 403, 274, 633, 633, 665, 273, 778, 1286, 6906, 7403, 21071, 3203, 633, 21071, 665, 2023, 555, 403, 665, 3402, 286, 3860, 248, 4436, 643, 2468, 286, 8311, 7121, 1212, 9607, 5934, 328, 665, 476, 2218, 440, 321, 633, 32090, 510, 7403, 14, 390, 417, 32090, 7624, 248, 5387, 348, 32090, 21071, 671, 274, 436, 4867, 274, 9607, 16, 665, 615, 14, 368, 324, 819, 1558, 21071, 13396, 5210, 532, 2072, 274, 254, 819, 839, 24923, 3059, 11343, 188, 286, 254, 15225, 16, 2996, 14, 8902, 898, 18031, 11022, 286, 188, 2154, 2411, 274, 1129, 188, 282, 33912, 13493, 889, 22403, 1845, 15903, 407, 1460, 390, 1558, 12566, 27, 324, 1286, 1707, 939, 369, 21019, 10578, 2828, 417, 1558, 16, 32090, 7403, 321, 1640, 14, 2449, 2449, 8494, 4458, 254, 16, 13396, 939, 390, 276, 1102, 2144, 282, 642, 6484, 665, 4076, 254, 819, 441, 321, 785, 889, 633, 324, 6454, 5598, 321, 774, 254, 282, 417, 432, 4242, 85, 16734, 390, 276, 21071, 1558, 32090, 7403, 327, 368, 343, 2449, 368, 4512, 25847, 11186, 889, 188, 16, 4436, 665, 4577, 407, 27294, 282, 254, 276, 188, 1648, 327, 1558, 2443, 14281, 587, 16, 368, 29, 38060, 21019, 10200, 274, 32090, 7559, 282, 6454, 1640, 774, 671, 32090, 286, 29, 188, 254, 1558, 254, 4436, 390, 1354, 390, 407, 1470, 587, 274, 327, 1368, 390, 390, 9607, 4436, 5861, 32090, 2632, 4436, 1141, 889, 16, 642, 16, 276, 12918, 3027, 85, 16, 16, 274, 6454, 254, 15480, 32090, 274, 1558, 16, 23859, 3860, 311, 6454, 1041, 32090, 587, 1212, 390, 11197, 4975, 4436, 1970, 633, 772, 390, 3621, 368, 5041, 4458, 8785, 4356, 23407, 632, 254, 14, 14, 3774, 512, 2034, 960, 3255, 1212, 14, 14, 5041, 533, 32090, 665, 16, 338, 407, 16, 476, 7403, 6425, 343, 14, 889, 13396, 368, 772, 25847, 282, 889, 1884, 324, 368, 390, 633, 274, 21071, 772, 2632, 32090, 32090, 9241, 11704, 32090, 774, 7403, 368, 368, 12826, 1558, 21071, 45906, 14, 274, 282, 407, 665, 7403, 665, 1767, 286, 6454, 4598, 16, 7403, 390, 1286, 390, 6454, 587, 939, 819, 5118, 321, 21, 1558, 2859, 772, 368, 254, 1558, 390, 282, 4196, 2525, 313, 4130, 7403, 390, 390, 274, 14, 13234, 756, 25847, 248, 2865, 1042, 368, 282, 254, 9607, 368, 16, 4622, 417, 774, 368, 14, 274, 3888, 5053, 5192, 286, 327, 348, 254, 593, 368, 368, 32090, 21071, 14, 587, 6702, 248, 7403, 32807, 387, 772, 6454, 16, 16, 2859, 32090, 35698, 7403, 32090, 6454, 6384, 1286, 889, 6013, 3899, 368, 642, 889, 20, 360, 587, 6069, 6707, 4458, 3860, 869, 1952, 743, 772, 286, 286, 16, 16, 4311, 7403, 40131, 390, 343, 286, 977, 2153, 7403, 21071, 32090, 286, 21071, 774, 1180, 368, 6454, 6454, 1558, 21, 274, 12113, 3258, 16, 670, 32090, 16, 10611, 14, 328, 11, 774, 390, 587, 5346, 12113, 8366, 274, 274, 3134, 21071, 633, 16, 21071, 457, 276, 5719, 5118, 772, 2863, 390, 6454, 1460, 6454, 14, 7557, 6454, 417, 1952, 274, 587, 282, 457, 939, 7403, 2859, 665, 7121, 2462, 20626, 4798, 6454, 14, 513, 1678, 311, 360, 282, 3202, 819, 11, 889, 282, 13683, 6454, 328, 14, 825, 5861, 368 ]

[ 1, 6214, 8418, 16, 19653, 43450, 628, 687, 368, 11471, 14, 254, 272, 11471, 848, 9127, 25870, 254, 933, 633, 248, 327, 457, 476, 254, 286, 5395, 1395, 1015, 1934, 865, 16, 1143, 251, 1919, 343, 10464, 1143, 11471, 9127, 14, 286, 14, 457, 3408, 4910, 536, 2314, 3956, 343, 4910, 286, 353, 21471, 282, 343, 14, 311, 286, 8152, 5769, 5081, 15, 321, 6949, 310, 16, 286, 12412, 457, 13242, 633, 188, 18, 33, 25870, 274, 532, 286, 15468, 11471, 16, 1057, 670, 1569, 8547, 15590, 22038, 16, 276, 248, 23, 16, 1046, 5838, 436, 826, 16, 13242, 43552, 0, 2156, 1995, 1041, 314, 21579, 14260, 86, 48069, 14, 1012, 324, 286, 14, 310, 4212, 2332, 276, 13525, 324, 1863, 286, 310, 436, 343, 457, 15590, 8293, 13345, 71, 603, 353, 3713, 86, 2041, 70, 16, 407, 4689, 3817, 374, 15, 274, 307, 39475, 286, 10217, 353, 1665, 310, 35350, 11471, 321, 1041, 1041, 44462, 28475, 2314, 14, 468, 17, 328, 13496, 274, 36968, 254, 2276, 666, 274, 1516, 16, 7613, 883, 368, 16, 282, 33, 731, 2880, 327, 20078, 282, 5937, 5395, 5395, 3320, 85, 16, 79, 3, 14689, 1247, 3893, 10393, 3, 307, 8240, 338, 8461, 747, 4502, 188, 282, 274, 310, 11295, 5587, 324, 16, 85, 14689, 327, 1074, 603, 2324, 2350, 248, 353, 11471, 188, 403, 368, 24836, 310, 15513, 510, 20561, 353, 28, 11471, 1574, 593, 10300, 16, 21533, 310, 368, 25870, 3649, 11471, 436, 17555, 407, 15, 324, 16, 2731, 513, 1677, 2314, 15063, 961, 1863, 276, 16, 457, 286, 188, 11471, 5419, 3, 452, 22059, 188, 254, 69, 457, 188, 19, 763, 328, 22, 286, 343, 20, 1691, 2732, 307, 2276, 16, 39475, 274, 310, 16832, 353, 282, 276, 11471, 282, 308, 21594, 353, 15, 946, 8240, 15, 1495, 11471, 2332, 7280, 15, 1708, 16, 47, 369, 368, 9127, 3901, 15, 4558, 348, 4549, 188, 7156, 403, 2943, 274, 436, 11471, 265, 36124, 1247, 22758, 327, 561, 1677, 1582, 254, 1062, 254, 769, 9611, 16, 257, 835, 436, 1141, 495, 6536, 9127, 354, 188, 16, 8240, 3612, 16, 939, 14, 452, 31293, 663, 282, 3416, 86, 308, 16, 374, 14, 4214, 14, 2792, 5228, 368, 30402, 188, 4646, 4032, 30990, 14, 254, 254, 3885, 254, 353, 4853, 457, 16, 457, 16, 16, 20, 1333, 11471, 282, 282, 16, 188, 22501, 457, 33, 343, 390, 310, 7849, 1507, 23017, 4424, 17325, 5395, 274, 248, 830, 8430, 282, 33, 15590, 457, 3, 14, 29897, 282, 4646, 286, 33, 254, 24629, 70, 44462, 16033, 1516, 3673, 457, 8725, 43, 14, 436, 1480, 254, 354, 254, 13981, 254, 16, 254, 826, 14, 16, 25637, 9127, 3002, 16, 2819, 580, 25870, 254, 633, 9375, 282, 24724, 286, 3646, 254, 3, 811, 852, 19653, 310, 254, 34421, 11471, 8240, 6508, 11, 1041, 282, 3, 495, 248, 282, 456, 1897, 10264, 515, 188, 21579, 2028, 944, 4576, 17, 368, 286, 311, 946, 4024, 282, 436, 593, 254, 43, 254, 331, 248, 7787, 436, 16, 16, 457, 1041, 18, 16, 13568, 353, 16, 12028, 248, 369, 18, 286, 353, 301, 31544, 2686, 5532, 15, 40262, 314, 310, 369, 343, 865, 286, 307, 593, 276, 11129, 368, 2568, 39475, 254, 1547, 867, 4558, 11471, 324, 3828, 12610, 343, 9729, 457, 1480, 42166, 272, 254, 43552, 1516, 27, 20650, 7849, 3066, 16637, 1045, 457, 14, 14, 308, 248, 188, 11471, 1773, 25870, 619, 274, 6856, 1181, 314, 1677, 643, 4112, 343, 17236, 79, 254, 31977, 282, 1773, 11471, 248, 13242, 1026, 4504, 3, 79, 8432, 286, 31293, 3477, 27161, 10944, 5534, 33, 327, 946, 476, 46122, 403, 1480, 331, 11, 327, 341, 353, 11471, 23043, 14, 3, 310, 248, 679, 16, 188, 286, 188, 276, 9127, 274, 368, 390, 29545, 3061, 2843, 27223, 884, 248, 23048, 1063, 7849, 8240, 188, 1533, 12306, 2332, 618, 27223, 85, 8480, 669, 807, 15, 310, 30835, 14, 14409, 18450, 532, 12035, 282, 10859, 39475, 7158, 188, 282, 3352, 14, 7644, 25637, 8298, 16, 479, 3, 21836, 7575, 343, 311, 959, 10371, 3673, 500, 14, 3957, 324, 28, 324, 457, 274, 282, 14, 310, 29068, 889, 619, 43, 25870, 20005, 324, 12848, 3687, 33, 561, 188, 311, 248, 889, 961, 6524, 282, 13688, 1475, 7925, 13103, 69, 15, 188, 1143, 641, 16, 250, 254, 3, 21219, 14, 452, 963, 276, 254, 254, 561, 338, 20650, 188, 27223, 3901, 1253, 763, 16, 839, 900, 369, 255, 14689, 188, 16, 274, 282, 353, 9729, 15, 2843, 13525, 1773, 609, 5395, 432, 308, 286, 16, 432, 32139, 11471, 10859, 3, 274, 324, 324, 390, 17, 3364, 14, 10264, 368, 1503, 14304, 6856, 390, 14976, 7629, 2568, 255, 1773, 3, 603, 618, 310, 436, 436, 3948, 3, 310, 1315, 3, 561, 15483, 3, 3, 11471, 3096, 11658, 3, 310, 28, 5931, 2276, 5588, 1157, 2614, 368, 14, 11471, 16, 12061, 15590, 811, 16, 687, 324, 479, 3437, 5228, 4112, 25870, 188, 374, 1574, 21533, 369, 24, 13242, 16, 457, 310, 33, 248, 26209, 188, 21594, 1395, 254, 7629, 80, 15, 18, 16, 1577, 282, 188, 624, 19, 353, 11471, 457, 731, 16, 374, 603, 286, 4096, 338, 480, 286, 282, 515, 3, 6949, 650, 3536, 555, 5395, 13242, 2674, 747, 1062, 13242, 324, 286, 8725, 2328, 1920, 2961, 436, 4883, 3, 16, 1364, 19674, 15, 85, 4112, 353, 16, 2332, 13242, 749, 17, 3657, 561, 188, 16, 15, 343, 34421, 25870, 1308, 8547, 2482, 327, 593, 462, 1773, 8240, 30402, 2819, 188, 742, 597, 1157, 2156, 16, 671, 1773, 47419, 368, 532, 4112, 286, 43, 262, 5494, 321, 1157, 18695, 457, 2732, 43, 13242, 900, 7434, 1516, 2286, 2005, 32139, 256, 310, 633, 248, 6123, 8994, 75, 1074, 338, 282, 1640, 633, 353, 248, 6855, 1649, 10476, 1612, 1315, 843, 368, 2515, 479, 310, 254, 555, 25870, 276, 254, 1017, 532, 607, 4502, 3, 25870, 188, 338, 254, 14, 254, 343, 2006, 3316, 16339, 39834, 11970, 45924, 1840, 282, 1026, 248, 8430, 274, 18072, 960, 310, 23048, 4564, 15, 12309, 28475, 2722, 16033, 21686, 16, 248, 7560, 16, 555, 11, 510, 1038, 11471, 16, 18801, 188, 14, 3416, 353, 1863, 353, 3433, 959, 456, 14, 603, 14689, 4646, 254, 11295, 756, 5271, 328, 9415, 13525 ]

[ 1, 5330, 324, 29479, 286, 624, 1491, 19660, 657, 15, 27725, 327, 254, 248, 14, 25, 286, 457, 274, 254, 5330, 668, 5815, 30983, 6193, 324, 1335, 633, 274, 10140, 18296, 276, 10120, 14, 398, 16, 2497, 1469, 328, 348, 1063, 282, 1311, 1491, 14, 353, 10551, 254, 29479, 248, 6240, 701, 338, 858, 14625, 657, 7770, 276, 3124, 324, 2317, 276, 14, 2867, 500, 1427, 254, 15411, 457, 5547, 939, 26564, 6092, 248, 16, 2148, 23370, 21082, 296, 8171, 8643, 33199, 2363, 657, 31512, 8325, 1218, 16, 772, 11194, 26816, 7924, 2341, 732, 1354, 368, 254, 597, 372, 1063, 2780, 6193, 3002, 432, 10696, 19687, 11375, 26761, 436, 248, 321, 3405, 18811, 1427, 1999, 85, 8085, 32794, 254, 17551, 695, 7924, 1086, 286, 504, 13036, 39419, 69, 520, 16, 6873, 3699, 10243, 2536, 274, 3015, 380, 7620, 390, 16, 1203, 79, 735, 8939, 13491, 2960, 286, 32401, 387, 858, 343, 20617, 15433, 5023, 387, 10271, 416, 274, 3462, 20524, 833, 1873, 2709, 7924, 20, 607, 432, 819, 10451, 14, 254, 1464, 14, 387, 26761, 587, 248, 1491, 257, 286, 31813, 830, 10186, 7096, 1903, 324, 345, 276, 17671, 3420, 14, 26902, 264, 79, 254, 269, 324, 390, 28420, 657, 30983, 2632, 34998, 2016, 833, 8085, 7702, 286, 387, 85, 269, 2433, 872, 3970, 2023, 751, 2696, 282, 1849, 457, 642, 282, 2731, 12558, 4044, 3762, 14, 26235, 1849, 14, 35894, 1794, 39765, 1321, 276, 16, 286, 1740, 311, 16, 79, 276, 254, 22266, 188, 269, 19687, 16, 254, 42276, 14, 19397, 504, 188, 686, 5846, 273, 4960, 19397, 2584, 1580, 2705, 18, 533, 14, 327, 383, 15, 14, 14, 14, 4851, 188, 272, 4028, 407, 14, 14, 5959, 1427, 3781, 254, 188, 14, 276, 657, 4619, 510, 19, 462, 14, 372, 367, 432, 374, 338, 3420, 813, 7372, 71, 360, 18505, 286, 1296, 650, 286, 272, 19599, 1091, 830, 16, 3252, 3046, 16, 14, 31512, 561, 401, 286, 84, 1408, 16, 743, 19687, 274, 16, 3462, 26, 47141, 18451, 587, 274, 3065, 274, 27, 7883, 587, 274, 372, 843, 607, 26834, 401, 348, 593, 7192, 2257, 1374, 14, 9825, 4242, 27657, 286, 248, 14, 324, 321, 85, 892, 19687, 1596, 432, 41, 26, 1711, 33499, 19, 11375, 504, 407, 510, 366, 4741, 4163, 310, 274, 254, 348, 22975, 16, 343, 311, 432, 4682, 436, 657, 254, 16, 16, 286, 1999, 555, 14, 254, 343, 254, 16, 286, 276, 616, 55, 248, 33499, 403, 31113, 14658, 14, 14, 254, 282, 254, 10229, 510, 31891, 12895, 10229, 262, 587, 462, 276, 27327, 2069, 9, 35078, 28, 1181, 10519, 14, 1464, 33499, 25470, 16, 28, 286, 274, 2536, 343, 16, 972, 13269, 17, 592, 20617, 462, 324, 892, 16, 3793, 286, 262, 533, 3462, 11429, 3297, 401, 407, 390, 18811, 16, 18811, 324, 4549, 1928, 6240, 311, 7922, 1806, 18957, 2374, 20479, 33235, 1016, 16, 21, 301, 462, 20479, 328, 587, 10366, 4580, 628, 2989, 254, 254, 476, 286, 31782, 432, 16, 274, 321, 900, 16, 14, 14, 16, 91, 20617, 254, 5128, 4517, 25470, 432, 16, 32759, 46999, 640, 282, 6111, 1362, 1939, 41, 14670, 11360, 587, 14, 274, 4549, 14, 276, 20524, 0, 254, 394, 31994, 892, 16, 7969, 382, 401, 16, 276, 16, 69, 17454, 17921, 7738, 19687, 274, 915, 1939, 286, 5959, 0, 348, 328, 31780, 248, 404, 615, 343, 14, 188, 2628, 2814, 328, 1849, 20617, 462, 85, 85, 960, 274, 1993, 2912, 1673, 819, 387, 380, 496, 8898, 3783, 22679, 282, 8549, 1444, 11909, 8085, 276, 16, 69, 17011, 2055, 276, 41, 369, 772, 324, 14, 19235, 1074, 620, 387, 367, 587, 338, 626, 7924, 39337, 42795, 2572, 4735, 343, 2572, 39, 6612, 9931, 1086, 5330, 5408, 5959, 310, 2728, 10930, 401, 27657, 48011, 286, 587, 16, 7335, 264, 321, 16658, 327, 587, 1004, 345, 274, 1712, 1016, 79, 2885, 1499, 12129, 254, 7236, 248, 16, 7492, 18811, 4347, 282, 1633, 272, 286, 248, 41, 4852, 254, 5935, 4311, 9169, 14, 4741, 972, 4306, 328, 262, 587, 24412, 2258, 27, 276, 16, 35979, 272, 858, 7770, 274, 2421, 22126, 42453, 2758, 14, 1928, 85, 0, 2066, 274, 6582, 2936, 390, 19867, 14168, 3944, 18, 8841, 2408, 21082, 512, 274, 4022, 1619, 34752, 7526, 330, 915, 2016, 401, 1621, 274, 22, 254, 16, 1720, 16, 3124, 1825, 35, 328, 30983, 33905, 262, 44699, 286, 628, 862, 43549, 276, 254, 398, 628, 338, 3520, 2393, 282, 286, 14, 248, 7497, 367, 18, 19719, 24412, 254, 274, 23271, 311, 948, 939, 5687, 33441, 7096, 403, 11734, 11375, 16, 367, 274, 16, 188, 254, 29479, 39765, 3551, 31706, 2728, 188, 9641, 1321, 33499, 3994, 4186, 16, 655, 188, 6727, 13306, 282, 282, 4347, 274, 24173, 348, 23106, 2107, 16, 254, 16, 2740, 9640, 417, 286, 4255, 276, 29479, 1649, 620, 1594, 1460, 16763, 390, 3588, 19235, 29820, 21663, 403, 587, 85, 3364, 248, 25419, 7040, 1335, 24, 5547, 751, 1090, 20049, 3221, 23183, 615, 324, 20617, 606, 1625, 1326, 23271, 2317, 343, 27513, 1079, 1096, 31813, 16, 14, 286, 286, 4032, 3561, 9220, 188, 4517, 45546, 20734, 892, 22266, 1441, 4351, 587, 343, 53, 372, 16160, 2738, 372, 272, 188, 1016, 4168, 19534, 1939, 457, 432, 348, 457, 264, 460, 732, 2701, 1720, 7328, 16580, 343, 3468, 4062, 26902, 23271, 16, 7353, 353, 369, 1063, 36, 27657, 390, 9961, 27786, 1939, 33, 2630, 338, 27, 16, 39, 18, 265, 41, 16, 16, 251, 9629, 23170, 16, 28017, 9792, 12353, 15, 8775, 41028, 262, 1853, 1683, 3124, 4941, 9870, 2688, 3805, 338, 12878, 890, 520, 843, 274, 1499, 403, 7367, 85, 254, 16, 5852, 274, 432, 4890, 14, 188, 896, 21154, 11610, 23271, 282, 4010, 254, 26969, 7517, 92, 2772, 2728, 311, 348, 2683, 46315, 618, 11392, 286, 324, 16, 8114, 587, 16, 35078, 6329, 14, 286, 4806, 6901, 14, 368, 529, 14258, 1296, 401, 282, 6193, 5287, 3083, 587, 403, 16, 532, 25149, 30837, 1873, 85, 628, 7835, 7160, 432, 14, 1755, 15411, 1086, 5228, 597, 282, 7224, 616, 254, 1939, 23176, 4852, 33, 19235, 16, 390, 16, 254, 188, 14, 14, 35544, 12679, 657, 719, 254, 380, 321, 1648, 587, 11375, 274, 4589, 85, 17797, 903, 282, 27609, 1321, 276, 398, 434, 39693 ]

[ 1, 14215, 24, 29586, 1625, 1822, 254, 39939, 44682, 338, 91, 25, 7729, 248, 27, 272, 8026, 6117, 286, 500, 5107, 2288, 286, 580, 25, 188, 0, 16, 28748, 18, 254, 1444, 642, 8141, 1444, 772, 31050, 17652, 1841, 27540, 7688, 2318, 15402, 7423, 368, 25805, 254, 10992, 29, 4313, 3379, 10400, 1683, 16, 8177, 18, 7258, 16, 282, 15431, 1142, 276, 311, 16, 1004, 1545, 2712, 15704, 836, 16, 0, 286, 3248, 1205, 14, 54, 38776, 2672, 10060, 282, 21, 5287, 4768, 368, 4634, 4890, 282, 27, 387, 248, 495, 403, 254, 338, 21, 6787, 16, 7, 282, 276, 11100, 274, 841, 17325, 22, 476, 14, 23, 785, 188, 254, 10, 500, 12600, 12586, 85, 254, 188, 17036, 521, 3488, 580, 347, 35650, 403, 633, 555, 549, 1527, 11961, 4272, 188, 4155, 276, 35512, 19165, 444, 23971, 286, 44281, 1873, 14, 248, 1619, 12219, 444, 1305, 35812, 4110, 314, 266, 16, 469, 5702, 42147, 743, 12600, 7323, 16, 14, 41, 8049, 18654, 22, 22, 2408, 1012, 5516, 20, 26, 15431, 2943, 2098, 42946, 1738, 2589, 9577, 1516, 2436, 20, 18954, 25, 274, 274, 314, 3379, 338, 15409, 16865, 67, 274, 334, 188, 1282, 6065, 1822, 32531, 6787, 282, 328, 403, 324, 2877, 43515, 24187, 38863, 665, 6515, 36465, 10590, 20254, 25, 46579, 4117, 18, 14, 16, 19, 18, 14, 432, 607, 436, 15, 1903, 21, 1487, 19, 2006, 248, 946, 12881, 2408, 403, 15402, 1310, 14346, 282, 248, 3402, 248, 23, 19260, 2079, 2524, 6973, 742, 3404, 4, 9831, 3051, 274, 36465, 2489, 248, 321, 390, 44842, 18, 473, 343, 18954, 77, 54, 3561, 23, 8462, 16, 82, 7258, 977, 18954, 5882, 54, 3488, 436, 3184, 43634, 276, 358, 14, 2949, 7258, 353, 276, 314, 724, 1729, 4021, 2142, 43838, 4423, 16, 530, 2214, 14, 324, 2692, 6005, 348, 16, 444, 31111, 374, 8941, 2374, 12832, 826, 49, 4282, 374, 7692, 16, 11648, 12150, 3404, 343, 12852, 268, 4, 14, 1755, 274, 22, 14811, 254, 9587, 0, 324, 581, 33, 282, 497, 1012, 35705, 43, 624, 432, 5309, 1922, 3132, 1129, 22, 286, 1731, 3897, 387, 407, 24225, 20, 2917, 282, 3835, 3781, 6808, 17126, 25, 16, 311, 434, 16, 13823, 20, 8601, 286, 3404, 32439, 188, 23, 428, 286, 7735, 16, 1464, 32864, 4644, 494, 3095, 3404, 2514, 3502, 324, 274, 15, 54, 434, 327, 1852, 399, 28589, 1255, 314, 869, 7, 403, 254, 254, 19, 403, 35451, 13823, 5455, 1755, 8806, 1034, 14, 14346, 18, 23183, 3, 35, 47610, 607, 32648, 19, 580, 369, 324, 375, 2344, 13298, 14, 1610, 2292, 11961, 15945, 642, 1770, 4331, 282, 23, 5734, 633, 3517, 5247, 3818, 16, 607, 274, 374, 3444, 933, 17454, 338, 338, 188, 37252, 27540, 1922, 23, 1561, 19, 20, 254, 11934, 772, 3802, 14859, 295, 282, 254, 620, 5247, 338, 282, 2703, 188, 12832, 324, 11, 311, 360, 889, 282, 188, 22, 6515, 9, 90, 297, 948, 1045, 5054, 17378, 286, 43515, 3637, 3988, 436, 495, 2712, 19637, 188, 188, 1822, 630, 22, 9192, 273, 4231, 26, 416, 39, 11, 46198, 38776, 16, 67, 1125, 15153, 348, 274, 10, 2524, 27, 24989, 403, 18954, 188, 276, 74, 41, 3213, 2080, 6208, 18, 2231, 1207, 7381, 96, 254, 324, 273, 403, 14, 1663, 286, 6249, 3375, 452, 21903, 434, 330, 633, 14, 3, 348, 18, 26, 20, 295, 327, 10298, 18, 31111, 27481, 3136, 282, 470, 282, 16, 14, 436, 274, 4117, 5240, 18667, 2782, 3928, 15, 9026, 81, 39094, 3468, 314, 188, 28, 188, 33, 8165, 21, 5044, 7258, 35, 663, 14608, 580, 327, 276, 3364, 7423, 19, 5998, 374, 4954, 16, 286, 11, 1275, 1137, 15, 276, 2042, 41348, 348, 311, 23, 38436, 327, 507, 188, 39, 16, 28255, 3340, 6471, 46764, 23, 20, 30567, 2969, 19, 813, 90, 3054, 22, 11, 16, 266, 368, 338, 624, 2524, 324, 40850, 500, 14, 39071, 20759, 11521, 34854, 276, 939, 6044, 2967, 12352, 5998, 15523, 374, 13823, 25, 407, 0, 254, 15, 977, 510, 2825, 16, 1638, 0, 2902, 38776, 16, 16, 324, 6284, 324, 286, 16, 3378, 407, 26, 1707, 3278, 282, 248, 22, 286, 16, 411, 43547, 353, 2629, 22158, 188, 343, 533, 1423, 282, 2456, 251, 34728, 1472, 33, 14029, 13594, 19, 8514, 14, 20, 286, 1286, 24, 701, 314, 254, 374, 11, 1648, 19, 5687, 30427, 1863, 17234, 254, 4, 15431, 254, 311, 47610, 456, 27540, 274, 7930, 407, 14, 452, 2023, 0, 14, 29, 28, 0, 14, 1062, 626, 254, 4917, 640, 15, 643, 1348, 21911, 8494, 4452, 4, 2692, 16, 18049, 274, 38776, 41, 19934, 16, 3640, 3404, 2634, 18954, 436, 274, 35, 6516, 20, 10031, 1794, 248, 11, 10, 49, 8462, 683, 14, 33, 457, 323, 10224, 1521, 17583, 13679, 26278, 248, 3246, 347, 2315, 248, 43310, 1528, 16, 327, 2477, 444, 337, 11947, 276, 276, 1158, 12577, 14, 10995, 12587, 324, 388, 3404, 2589, 387, 1338, 9050, 16, 16703, 338, 286, 188, 276, 18, 254, 2284, 49, 11528, 2133, 10959, 15431, 663, 20, 14, 324, 12641, 16, 19, 254, 10769, 16, 28, 4163, 31864, 8074, 22, 17781, 963, 309, 615, 14607, 1155, 26, 6593, 282, 343, 18954, 688, 2239, 85, 282, 15033, 254, 432, 2292, 43515, 4678, 26556, 5438, 869, 1578, 8112, 500, 24995, 18, 1502, 22, 17322, 3738, 16, 14980, 1637, 19, 282, 91, 9250, 3677, 407, 23, 5095, 2692, 44043, 1012, 1738, 16, 4061, 510, 12391, 22, 14, 16, 9366, 2533, 47338, 771, 12068, 680, 45821, 22, 274, 3277, 43313, 286, 43310, 2024, 3069, 1336, 286, 6208, 10544, 188, 1794, 8482, 314, 839, 4504, 28, 1114, 5455, 3184, 2485, 5697, 35452, 254, 254, 286, 20, 3051, 254, 3, 597, 254, 16, 1240, 3458, 24, 328, 444, 188, 2367, 274, 624, 3652, 4117, 5537, 411, 387, 719, 28589, 2589, 4089, 7, 36465, 16, 6754, 2780, 8583, 7323, 5612, 20, 655, 14, 188, 510, 3051, 4442, 12763, 616, 898, 368, 188, 17933, 3213, 16, 10912, 29, 14, 576, 16, 254, 1155, 26426, 27721, 407, 597, 12352, 2435, 276, 24, 248, 5464, 367, 43310, 1182, 254, 4626, 9006, 15663, 32201, 274, 274, 20, 11534, 1464, 11961, 555, 17, 3936, 254, 8571, 6515, 564, 500, 3184, 274, 9247, 16, 6382, 31966, 1017, 3135, 686, 11266 ]

[ 1, 282, 587, 1002, 39723, 2488, 254, 939, 614, 258, 31813, 13051, 390, 271, 41628, 5961, 26964, 14, 274, 14, 8596, 626, 25096, 1241, 25096, 15602, 3648, 248, 7417, 85, 441, 6309, 1503, 18052, 248, 343, 407, 311, 282, 16, 22876, 282, 3395, 1491, 580, 254, 22, 641, 1140, 10985, 348, 13959, 286, 1862, 44755, 3783, 1181, 432, 306, 3446, 772, 276, 686, 308, 1491, 22, 2049, 852, 3, 321, 254, 260, 671, 358, 4392, 274, 427, 37169, 10580, 2965, 2008, 497, 16815, 14871, 4489, 9118, 35922, 1664, 2063, 27765, 3160, 274, 1574, 343, 4676, 5887, 8259, 15, 16, 324, 14, 14, 282, 15, 1503, 1286, 248, 11324, 5877, 1286, 16815, 282, 532, 31557, 7511, 39723, 1063, 348, 1736, 3223, 22456, 353, 19, 4725, 16, 3614, 2731, 8226, 597, 4221, 382, 188, 254, 1851, 3355, 13863, 4874, 369, 317, 272, 16815, 14, 811, 311, 24734, 248, 265, 17263, 2332, 3938, 18292, 263, 17185, 3798, 254, 324, 39792, 8149, 25096, 274, 353, 9882, 31414, 15059, 670, 274, 1390, 4325, 18569, 324, 756, 14, 1167, 3808, 39860, 668, 436, 729, 272, 2965, 0, 3675, 5793, 8998, 510, 15, 5174, 16588, 1558, 4395, 254, 264, 14, 1090, 16, 6151, 36050, 254, 394, 254, 353, 254, 14815, 652, 32466, 569, 1423, 387, 338, 327, 16815, 18292, 74, 309, 9051, 2692, 387, 286, 974, 254, 188, 3675, 59, 24372, 3613, 282, 282, 254, 282, 328, 1062, 41407, 403, 16, 670, 18832, 16, 25096, 1664, 2245, 3, 403, 254, 368, 340, 10454, 1125, 16, 25423, 3233, 1516, 3834, 286, 1260, 920, 933, 3642, 1743, 306, 16, 272, 21309, 1269, 369, 8832, 1838, 16, 1125, 1678, 327, 1051, 18374, 2916, 819, 1334, 23698, 436, 3648, 6309, 14074, 4317, 282, 18477, 1822, 3639, 14523, 1193, 2187, 13044, 272, 353, 7624, 1934, 282, 6907, 254, 2099, 254, 30217, 628, 276, 2257, 3682, 379, 16867, 3964, 276, 590, 731, 282, 4249, 3996, 4096, 248, 18120, 324, 25621, 16, 254, 3831, 596, 7673, 1649, 6990, 22541, 516, 254, 1062, 2942, 436, 9073, 642, 1926, 13330, 1615, 46, 274, 15, 1311, 39792, 248, 11620, 12662, 1624, 254, 24323, 1903, 2515, 1755, 4851, 248, 4718, 324, 16, 19934, 633, 403, 9275, 4612, 1479, 348, 32725, 276, 453, 16, 593, 248, 368, 944, 14, 254, 274, 3442, 369, 2631, 5569, 347, 16, 16, 8688, 14, 14, 801, 6927, 368, 16, 5258, 43850, 343, 1002, 10142, 16, 756, 25096, 17185, 348, 17185, 663, 3783, 719, 2545, 16688, 254, 763, 2602, 3048, 354, 510, 348, 311, 1649, 369, 1842, 380, 248, 2875, 24372, 615, 254, 29563, 254, 15340, 829, 13148, 401, 368, 3830, 743, 414, 1862, 272, 495, 18, 6106, 532, 16, 7745, 19907, 1736, 8156, 16, 3626, 27732, 942, 26964, 369, 1242, 8149, 4731, 14, 2622, 9073, 252, 282, 2501, 4355, 29912, 615, 4400, 811, 260, 7926, 14, 348, 401, 368, 2629, 593, 4436, 15340, 14, 309, 4851, 23904, 276, 14, 688, 17529, 282, 2332, 4619, 407, 403, 41686, 961, 16, 1479, 2501, 14, 3502, 36436, 14760, 16, 7541, 633, 13959, 900, 254, 251, 22871, 369, 23698, 248, 5745, 428, 8734, 3217, 9597, 1624, 188, 188, 14, 1955, 774, 11510, 282, 17529, 6318, 476, 368, 274, 4436, 9495, 613, 16968, 3921, 16, 282, 390, 17185, 5498, 14, 731, 14, 452, 1444, 486, 417, 14, 4101, 14, 297, 642, 15, 15214, 4676, 254, 2057, 1678, 14, 5258, 254, 3648, 31204, 14, 368, 254, 274, 407, 2504, 254, 35002, 38612, 5586, 10407, 39723, 14, 274, 14, 14, 39723, 4676, 390, 15340, 276, 18770, 14, 16, 801, 306, 8697, 321, 349, 16, 8298, 3529, 14, 4706, 380, 2110, 14, 470, 188, 5053, 1479, 671, 1116, 7775, 555, 43284, 403, 26324, 251, 343, 348, 4310, 299, 624, 1205, 10580, 16815, 497, 38713, 704, 14, 1051, 432, 254, 26050, 14, 321, 254, 17006, 500, 15, 3395, 13488, 23550, 596, 20671, 7924, 834, 25507, 1016, 1926, 1479, 1993, 1826, 14, 403, 16, 2066, 5555, 14, 14, 18, 16, 250, 944, 40, 14, 486, 2501, 1371, 188, 3224, 734, 274, 2965, 387, 1041, 314, 2374, 1350, 343, 282, 2868, 1847, 16, 15, 4436, 513, 268, 16, 274, 1610, 6550, 11453, 14815, 14, 274, 494, 2965, 39, 16815, 384, 14, 6503, 368, 805, 286, 17185, 266, 282, 3, 4525, 348, 321, 14, 5555, 418, 248, 6309, 18133, 4740, 10588, 16, 374, 369, 25096, 1366, 41988, 311, 500, 369, 516, 327, 417, 3648, 15340, 1993, 2431, 624, 38612, 286, 31725, 8156, 18, 3506, 248, 641, 3729, 6309, 31803, 4706, 835, 286, 1635, 1722, 25, 417, 17185, 3673, 16, 18, 14, 826, 43834, 16815, 282, 44, 390, 5186, 254, 276, 1164, 16, 403, 4434, 6998, 643, 1102, 8149, 265, 286, 16815, 2640, 27565, 274, 533, 14, 28835, 25756, 10227, 311, 2628, 3196, 282, 254, 3655, 33208, 1360, 15340, 774, 1441, 432, 254, 573, 6216, 31557, 3720, 12901, 643, 836, 13051, 415, 497, 380, 274, 4635, 16, 687, 7852, 272, 188, 286, 4385, 16, 457, 272, 4731, 683, 22044, 434, 497, 1610, 4731, 16832, 274, 39911, 6337, 85, 8149, 248, 29132, 310, 286, 248, 3812, 23698, 1065, 3048, 27383, 5176, 15718, 2204, 24158, 8490, 721, 40020, 512, 40955, 324, 14, 11125, 1955, 3682, 85, 1145, 3355, 28, 11677, 260, 45295, 588, 321, 2017, 927, 11, 403, 27791, 248, 1260, 6106, 10204, 2951, 2474, 6081, 16, 4730, 327, 7319, 374, 12838, 39723, 368, 382, 258, 532, 15, 41312, 1157, 15167, 321, 311, 368, 6998, 484, 1903, 1115, 5961, 2120, 401, 4178, 274, 369, 8238, 642, 629, 274, 2965, 19564, 3737, 14, 2774, 4028, 2142, 7142, 15453, 2653, 248, 4856, 41028, 286, 5370, 961, 37030, 41763, 1247, 274, 2868, 2497, 369, 305, 7014, 615, 14, 248, 16687, 324, 14, 16, 14, 688, 20117, 2023, 13398, 563, 274, 753, 16, 629, 25096, 2859, 587, 248, 6582, 1993, 188, 1063, 1061, 38612, 321, 3379, 1525, 299, 16, 1033, 486, 2965, 8577, 2099, 452, 21314, 603, 1499, 16, 7360, 6211, 296, 763, 2965, 14, 669, 4212, 3831, 15, 348, 282, 774, 44365, 254, 561, 12302, 1708, 8149, 1542, 38612, 16, 16, 310, 615, 6650, 452, 14, 829, 349, 1642, 16, 390, 719, 348, 7034, 328, 1845, 1527, 328, 44461, 2718, 14, 2473, 642, 3605, 5877, 276, 387, 17529, 11146, 274, 274, 944, 3427, 272, 8832 ]

[ 1, 282, 368, 16, 1253, 16, 16, 731, 12350, 327, 3156, 248, 1034, 13692, 457, 1277, 747, 16, 6268, 274, 33, 457, 432, 188, 4013, 15621, 452, 286, 3730, 33, 16, 476, 619, 30696, 12350, 12989, 26100, 593, 314, 1922, 11812, 457, 7161, 12096, 15, 254, 974, 6268, 1685, 12720, 16, 17250, 1872, 4589, 2673, 2486, 607, 9263, 756, 16, 31254, 2141, 14304, 286, 12720, 29405, 19, 942, 375, 32379, 2965, 254, 743, 311, 35040, 11667, 15, 626, 353, 276, 254, 1183, 669, 36660, 1544, 318, 17869, 3833, 942, 382, 324, 7634, 282, 3833, 2075, 254, 5603, 85, 327, 18, 360, 24, 30188, 1305, 1773, 254, 587, 254, 68, 2842, 353, 3502, 1181, 368, 719, 513, 12115, 16, 14, 13635, 311, 188, 9213, 41654, 1569, 282, 7676, 1323, 1837, 10584, 2341, 16292, 27, 432, 457, 4117, 390, 254, 11107, 6319, 188, 486, 576, 41116, 254, 380, 274, 3970, 2207, 314, 3833, 497, 353, 16, 811, 2909, 46122, 1339, 188, 387, 610, 37080, 12824, 16, 15, 35, 309, 665, 14550, 555, 2115, 14, 33, 336, 18408, 378, 286, 10625, 633, 10078, 2600, 843, 1323, 378, 19032, 4814, 38203, 457, 4762, 2955, 20752, 343, 15, 11294, 11775, 597, 387, 2286, 311, 9, 310, 387, 1886, 311, 2115, 20911, 1939, 272, 15326, 1863, 255, 29310, 9956, 1125, 282, 286, 6990, 2537, 403, 387, 417, 18, 324, 85, 2193, 1702, 1277, 5766, 26290, 9615, 254, 85, 4255, 9652, 835, 68, 286, 7096, 4126, 14304, 86, 29, 457, 85, 16, 2965, 2868, 254, 495, 532, 16114, 17103, 6297, 360, 2065, 2803, 85, 24978, 274, 2006, 11667, 595, 318, 5555, 11769, 2868, 248, 377, 11899, 633, 1330, 2805, 16, 353, 33, 510, 254, 32648, 265, 336, 387, 282, 520, 282, 338, 41886, 39837, 360, 32389, 4301, 626, 33813, 657, 14, 35167, 596, 3327, 573, 343, 343, 16, 388, 403, 452, 455, 3655, 324, 26, 20, 311, 328, 13416, 633, 276, 10078, 15913, 3686, 841, 16919, 188, 457, 4098, 2790, 390, 1602, 311, 31150, 4141, 188, 188, 663, 25, 7479, 72, 380, 387, 33, 188, 387, 286, 8500, 597, 1456, 417, 3048, 668, 16, 1733, 286, 942, 15, 13129, 14693, 8266, 1416, 9524, 188, 1903, 27638, 5555, 311, 1277, 23910, 27453, 5588, 360, 731, 19, 1002, 15669, 1922, 30994, 497, 1042, 14, 668, 1448, 1390, 14, 387, 1148, 14, 188, 309, 452, 3066, 432, 2858, 328, 14531, 7385, 324, 6248, 35598, 1360, 282, 1505, 254, 188, 254, 1873, 360, 497, 27, 254, 24436, 12913, 1963, 1141, 17883, 7262, 348, 14, 9846, 7629, 274, 747, 457, 457, 254, 331, 12534, 254, 85, 1926, 18, 387, 360, 2823, 2824, 665, 13739, 801, 974, 18, 286, 7383, 251, 5044, 274, 47400, 16, 27938, 85, 254, 348, 43, 16, 801, 17414, 4282, 21055, 7164, 436, 380, 79, 2862, 4489, 15, 510, 71, 286, 2554, 2986, 254, 1444, 2378, 1042, 310, 2123, 19118, 248, 311, 32200, 32379, 7341, 3833, 288, 8, 16, 291, 311, 20911, 310, 255, 17414, 900, 276, 328, 387, 19636, 276, 6170, 286, 643, 324, 3906, 1051, 1130, 45718, 1390, 626, 15, 2862, 13320, 1012, 618, 248, 7634, 2193, 14, 3051, 1390, 1564, 457, 380, 3833, 3148, 85, 5832, 43, 23, 2956, 457, 248, 1702, 2628, 4326, 269, 5555, 188, 15, 250, 16, 4234, 380, 9637, 369, 7262, 360, 286, 2486, 68, 390, 30114, 343, 20911, 512, 10746, 16, 6268, 626, 657, 2653, 1703, 2432, 1652, 378, 944, 1903, 3983, 276, 27767, 1945, 248, 2049, 328, 254, 16, 254, 16, 10152, 31282, 8760, 39144, 286, 22518, 18771, 510, 512, 869, 26, 37080, 43, 188, 282, 188, 706, 9567, 6458, 20911, 33, 343, 2612, 4679, 7262, 3672, 16, 441, 254, 473, 561, 282, 10577, 272, 14, 354, 9339, 14, 16, 67, 769, 3393, 495, 497, 255, 8500, 85, 331, 23, 16, 272, 26, 452, 254, 14, 35040, 327, 441, 1253, 30031, 657, 254, 14, 4738, 282, 16114, 801, 915, 16, 403, 15650, 387, 5055, 20932, 457, 888, 25754, 39262, 9846, 27234, 248, 248, 3408, 188, 254, 1448, 321, 9786, 36454, 26, 7262, 16, 3575, 26, 1756, 12913, 274, 900, 532, 4762, 1527, 14, 2357, 16, 5961, 2341, 2374, 30835, 188, 1685, 33480, 16, 452, 16, 417, 309, 1038, 274, 2377, 17073, 9263, 4731, 46, 2288, 188, 826, 3833, 248, 437, 1903, 11, 360, 11983, 1848, 40484, 10584, 403, 254, 1516, 248, 254, 21426, 848, 16, 310, 15513, 19, 255, 695, 927, 265, 20911, 11284, 3327, 72, 254, 16, 314, 15336, 657, 188, 311, 452, 255, 3418, 1354, 327, 4412, 38592, 15, 8867, 5897, 2323, 457, 10286, 286, 274, 512, 4257, 7164, 368, 387, 85, 1886, 32379, 0, 432, 277, 2123, 16, 85, 8834, 327, 286, 597, 1397, 269, 457, 452, 3867, 5066, 311, 188, 447, 1181, 11268, 387, 16933, 2673, 12350, 29310, 487, 274, 432, 17103, 3368, 16, 387, 3368, 254, 401, 479, 286, 19, 457, 1130, 352, 3833, 1253, 6814, 597, 16, 2357, 4126, 9028, 267, 3760, 286, 16, 16667, 1244, 248, 4098, 325, 2473, 0, 2879, 32872, 18, 310, 1045, 417, 16865, 276, 2986, 1689, 188, 3327, 5439, 4117, 16667, 1845, 671, 16933, 311, 13829, 1849, 18, 310, 23033, 16, 839, 286, 12824, 457, 756, 274, 20862, 35598, 27938, 188, 378, 2843, 32648, 1685, 9360, 338, 4141, 86, 286, 79, 15, 272, 14, 961, 16, 33, 16, 360, 16, 318, 254, 580, 16, 1390, 274, 1051, 11775, 20911, 43618, 1694, 781, 1090, 274, 377, 1845, 839, 10807, 7998, 7525, 16, 8218, 282, 328, 2673, 1848, 413, 1519, 343, 311, 13013, 86, 915, 254, 36248, 3442, 16, 286, 282, 70, 37323, 188, 576, 2245, 21404, 16114, 7262, 27, 282, 408, 3156, 4214, 282, 16, 38934, 85, 9846, 310, 7525, 457, 2318, 436, 188, 14, 6480, 4244, 628, 1305, 16512, 417, 486, 843, 826, 1603, 2306, 309, 8669, 10700, 624, 35464, 26582, 937, 309, 254, 188, 21516, 33393, 324, 576, 16865, 4358, 10046, 5398, 37292, 5025, 1623, 274, 310, 8159, 2140, 14, 254, 452, 27, 368, 33, 276, 282, 248, 282, 276, 368, 593, 1390, 452, 13958, 1045, 25754, 26582, 16, 20049, 254, 1664, 33, 53, 248, 595, 3833, 14, 769, 3833, 67, 254, 14, 328, 1903, 188, 248, 46010, 743, 813, 1922, 2421, 457, 32016, 311, 14, 434, 255, 248, 387, 327, 1162 ]

[ 1, 29562, 452, 872, 1630, 286, 6158, 633, 16, 16, 14, 248, 248, 276, 772, 18, 14, 13908, 276, 3335, 1899, 274, 6915, 963, 309, 785, 436, 248, 1074, 587, 47097, 11518, 670, 1074, 254, 36, 4563, 1002, 16, 321, 476, 188, 2485, 16, 11530, 417, 743, 5569, 496, 282, 2182, 801, 15542, 248, 353, 3413, 13659, 311, 14, 368, 276, 16709, 395, 85, 4149, 452, 961, 1015, 330, 188, 24289, 473, 403, 1464, 8671, 16, 1726, 24289, 324, 633, 286, 248, 1260, 1668, 188, 254, 10922, 16, 16, 21177, 17165, 872, 2362, 311, 380, 457, 4617, 561, 1619, 1108, 327, 1339, 282, 311, 311, 29301, 282, 276, 11, 14, 327, 248, 368, 7895, 6805, 33, 5652, 830, 368, 33, 1523, 14, 16, 872, 811, 327, 2507, 619, 494, 360, 33, 16, 1872, 1497, 5879, 368, 254, 1272, 85, 510, 1678, 14, 16, 33433, 432, 2809, 561, 311, 360, 368, 276, 390, 15108, 5407, 9359, 2809, 282, 1223, 1004, 6083, 276, 3781, 3413, 12033, 286, 3699, 7413, 254, 16, 254, 457, 5655, 5461, 4273, 2024, 21025, 254, 254, 2980, 2809, 18, 6789, 286, 4830, 10114, 1230, 1594, 282, 961, 16, 5569, 368, 254, 1477, 327, 311, 16, 34504, 743, 403, 86, 1063, 188, 28, 353, 14, 944, 17560, 314, 8785, 188, 21, 19836, 14, 16, 428, 274, 12308, 555, 14, 188, 19, 368, 380, 14, 6400, 22065, 1125, 17227, 14414, 343, 1062, 576, 457, 1212, 12142, 286, 14809, 9484, 1076, 188, 16755, 1062, 14, 3624, 11, 1129, 248, 476, 533, 0, 286, 16576, 1438, 324, 10554, 328, 295, 311, 375, 16, 11415, 282, 3870, 20890, 403, 6980, 613, 452, 328, 7211, 1162, 8065, 633, 3413, 3957, 248, 248, 390, 1842, 47574, 368, 33, 3567, 5379, 974, 1091, 670, 668, 1252, 1444, 1830, 188, 11102, 20253, 14, 390, 1438, 748, 343, 368, 16, 2572, 286, 272, 324, 830, 309, 274, 24289, 20, 436, 1726, 16, 3233, 11, 10875, 24709, 24289, 1308, 328, 360, 14, 479, 5651, 28, 27912, 2151, 24289, 5925, 1213, 4893, 2546, 248, 248, 417, 368, 14, 254, 4654, 785, 274, 22196, 915, 974, 18, 1438, 19552, 188, 1157, 272, 633, 7754, 24289, 276, 1408, 26, 23, 1063, 2210, 633, 942, 496, 22065, 476, 1767, 5652, 368, 16, 671, 18, 457, 633, 1963, 2471, 324, 254, 2008, 282, 274, 626, 17334, 274, 593, 16576, 14, 1269, 3079, 2024, 188, 24289, 286, 24289, 368, 276, 14, 596, 748, 282, 403, 311, 3413, 188, 16, 618, 17692, 310, 311, 286, 30925, 6621, 3338, 1638, 974, 633, 6789, 596, 2497, 593, 7414, 593, 254, 22971, 561, 20705, 565, 10699, 274, 16, 387, 3006, 3280, 47352, 9806, 1011, 20343, 16, 14, 10554, 390, 19, 15266, 5243, 444, 2774, 15125, 21, 248, 254, 272, 1822, 3, 14, 6825, 16, 20549, 276, 7614, 17865, 436, 311, 5942, 248, 1767, 843, 5030, 368, 15665, 46838, 13517, 4793, 14, 14, 555, 250, 452, 16, 561, 348, 2468, 282, 282, 16, 16, 4503, 24289, 282, 10072, 14, 933, 14, 311, 188, 10875, 21616, 476, 390, 441, 587, 276, 7573, 5652, 321, 2520, 512, 251, 7528, 32611, 286, 16755, 10114, 713, 254, 360, 633, 4684, 10875, 3413, 8035, 14, 6920, 1038, 10554, 16, 403, 16, 403, 311, 20, 4029, 16, 1450, 5053, 14, 20416, 476, 14789, 1483, 34504, 16, 47574, 19588, 20464, 2141, 14, 1090, 276, 596, 282, 944, 715, 16, 28, 374, 24289, 36, 2497, 327, 17097, 4823, 248, 378, 682, 1081, 19, 22551, 310, 16755, 1789, 254, 14, 633, 14, 1041, 286, 34392, 1703, 6844, 4489, 368, 457, 390, 1872, 452, 6191, 7461, 596, 587, 390, 25935, 188, 17309, 34504, 1663, 16755, 785, 327, 9290, 188, 286, 353, 19, 641, 248, 650, 1767, 309, 368, 5210, 10875, 7629, 17692, 8706, 254, 311, 671, 1230, 2615, 743, 633, 6805, 655, 772, 3567, 3699, 14, 248, 438, 286, 276, 6216, 452, 596, 2705, 16, 4603, 1316, 10611, 8325, 0, 368, 756, 348, 615, 670, 380, 16, 286, 47980, 390, 510, 470, 826, 476, 633, 20, 16, 14, 2445, 670, 7211, 2683, 188, 417, 1020, 2245, 3708, 403, 457, 248, 3957, 826, 368, 31794, 272, 18, 16, 1982, 4602, 14, 276, 14, 2072, 282, 328, 2497, 8340, 615, 311, 348, 286, 360, 596, 248, 2245, 927, 3469, 248, 274, 4205, 476, 286, 10554, 16, 476, 10554, 360, 374, 6648, 85, 596, 19450, 16, 7049, 254, 1683, 254, 1640, 6329, 387, 7212, 282, 321, 13511, 24289, 3413, 16, 16245, 1897, 380, 254, 10554, 343, 1230, 20, 4617, 188, 248, 633, 3611, 1726, 10554, 457, 16, 24289, 14881, 254, 839, 16, 939, 360, 3015, 452, 596, 24289, 276, 248, 3413, 615, 14, 25288, 1339, 321, 4341, 368, 633, 1594, 324, 22205, 248, 188, 633, 1412, 2546, 5884, 18178, 865, 14989, 14, 2066, 18, 785, 311, 5537, 16, 5053, 17430, 3280, 8958, 1193, 10875, 4558, 848, 2489, 309, 513, 330, 380, 14, 17511, 3280, 3699, 930, 3621, 2703, 26588, 3757, 3095, 368, 2468, 671, 5876, 1689, 343, 2151, 748, 16755, 1594, 282, 10989, 3781, 747, 830, 248, 16, 2640, 10699, 25, 417, 1354, 12967, 4466, 24289, 390, 470, 248, 3690, 5270, 282, 368, 2482, 286, 251, 3563, 16, 20296, 21448, 3853, 743, 1963, 23839, 7948, 417, 27341, 86, 24289, 14, 16, 33, 353, 26553, 348, 9113, 16, 20, 1781, 248, 417, 1205, 282, 188, 24289, 331, 1999, 2120, 729, 328, 14, 596, 16523, 278, 11, 254, 1659, 633, 248, 24289, 254, 368, 5379, 1615, 309, 7919, 343, 272, 2622, 1395, 17727, 35026, 5210, 1982, 2701, 276, 390, 28, 576, 748, 1230, 282, 327, 476, 282, 24289, 7697, 8178, 1289, 4590, 16, 432, 314, 669, 254, 368, 3957, 248, 944, 2360, 16, 2346, 274, 3819, 748, 248, 321, 14, 282, 615, 3413, 6750, 254, 286, 28, 282, 2247, 274, 360, 321, 4243, 774, 15645, 282, 286, 34921, 470, 188, 353, 633, 10794, 14, 748, 311, 1039, 309, 36, 1847, 16586, 24709, 6577, 14, 314, 3957, 274, 512, 276, 10554, 441, 360, 15890, 254, 2057, 327, 16755, 324, 4996, 274, 5376, 743, 16, 328, 16, 7034, 5652, 1212, 457, 10554, 3148, 254, 282, 669, 36513, 34068, 785, 9679, 248, 22971, 314, 743, 2024, 309, 3809, 772, 695, 2008, 2411, 532, 751, 1382, 476, 309, 15617, 6805, 282, 282, 254 ]

[ 1, 11902, 11598, 1827, 15927, 1800, 5397, 18, 1779, 82, 8538, 11902, 983, 5318, 11196, 38, 82, 82, 53, 15135, 65, 983, 37585, 1210, 4523, 3933, 261, 804, 65, 888, 17, 804, 19, 11196, 18, 2012, 38, 1076, 2855, 70, 14, 26153, 61, 261, 72, 56, 65, 534, 926, 14, 82, 3185, 11196, 11196, 55, 12088, 11555, 306, 21, 8456, 65, 470, 2192, 33734, 470, 470, 27, 45098, 55, 5397, 483, 28, 38, 477, 367, 62, 339, 19212, 10, 65, 10855, 188, 684, 11902, 9346, 1770, 14835, 31, 16, 11902, 647, 647, 188, 367, 18, 246, 27, 37525, 1893, 30548, 11902, 53, 11902, 10, 14, 14, 36, 30548, 7679, 558, 603, 65, 65, 2192, 65, 607, 19, 19212, 426, 2384, 1779, 10, 1369, 261, 18, 1210, 261, 188, 1935, 65, 585, 19114, 55, 18, 14, 18, 16, 11196, 5813, 16, 14, 65, 2855, 26, 11707, 14, 14, 14, 6106, 10, 470, 86, 367, 14, 18, 27, 16, 11196, 36, 367, 17, 6608, 33423, 2192, 65, 82, 10, 16, 426, 19114, 10, 3245, 14, 90, 65, 1369, 28331, 14, 22851, 14, 3072, 261, 12897, 15927, 10, 983, 72, 24, 11886, 62, 558, 82, 65, 261, 63, 399, 1210, 18, 278, 61, 647, 18, 38, 65, 2012, 6106, 261, 23676, 10, 1800, 55, 393, 1696, 10, 24, 188, 607, 1188, 65, 6892, 82, 188, 2384, 576, 374, 10, 65, 261, 38, 11902, 2717, 24, 14688, 11707, 14, 23, 477, 9346, 24, 63, 1779, 585, 426, 10424, 12897, 1210, 38, 19212, 374, 9410, 14, 70, 65, 15088, 7679, 3270, 14, 15, 306, 65, 647, 399, 10, 4213, 19, 14, 90, 54, 33423, 11707, 426, 477, 18, 261, 4552, 14, 23, 10, 6106, 15088, 23, 8456, 470, 564, 11, 870, 23, 11902, 82, 1210, 21, 276, 18, 278, 7481, 14629, 14, 11196, 3933, 11902, 188, 2012, 6106, 62, 16, 1510, 4655, 14629, 14, 26, 10, 3291, 2717, 324, 21952, 29862, 647, 1554, 1076, 15713, 8456, 65, 30548, 477, 261, 1262, 23676, 86, 14, 347, 90, 1465, 10424, 1510, 16, 14, 1210, 3072, 325, 1779, 14835, 261, 1779, 18, 38, 261, 188, 1800, 536, 21952, 470, 338, 65, 338, 23002, 338, 11196, 428, 477, 1779, 24, 246, 80, 2192, 1067, 477, 10, 55, 8456, 3291, 1244, 14, 1210, 647, 61, 367, 1779, 78, 11196, 11707, 647, 10, 61, 9147, 576, 13469, 585, 18, 38, 32101, 22, 18, 18, 65, 18566, 3563, 188, 18, 2046, 4369, 1800, 33734, 1800, 14, 28, 52, 49, 1188, 14, 82, 10567, 14, 27, 534, 10, 14, 19212, 261, 5, 261, 12400, 1358, 78, 27, 1188, 338, 70, 188, 1188, 65, 926, 261, 38, 82, 2805, 3185, 27, 11618, 1244, 28, 870, 2384, 14, 1244, 16, 1534, 1779, 15098, 495, 261, 10, 11707, 19114, 581, 10, 41, 61, 20, 19114, 26874, 14, 1827, 426, 11196, 65, 246, 10, 24, 4365, 1779, 16, 16, 367, 1800, 14629, 4905, 428, 14629, 10, 18566, 1779, 585, 426, 2010, 19, 2500, 65, 65, 82, 15927, 2192, 477, 45560, 374, 28, 13469, 470, 1779, 188, 65, 14, 2717, 65, 1465, 585, 2717, 1030, 18, 1800, 65, 82, 35, 18, 470, 61, 314, 1779, 306, 5094, 65, 27, 426, 82, 6106, 188, 61, 470, 0, 1800, 34296, 38, 7073, 24, 11902, 261, 10, 188, 261, 90, 11902, 21952, 72, 9385, 417, 2413, 338, 55, 33544, 3908, 314, 18, 18, 10, 18, 23, 32101, 19212, 24, 83, 483, 10, 3563, 14629, 338, 38, 1935, 14629, 426, 18, 1954, 14, 1209, 19, 983, 10, 18, 65, 3495, 10, 20, 55, 18, 24, 4280, 261, 19, 9869, 10, 14, 1689, 61, 21, 14, 276, 1779, 21, 11, 10, 45560, 11707, 581, 367, 11196, 5, 19, 14, 477, 1800, 1076, 14, 804, 585, 27, 65, 4623, 11902, 576, 14, 65, 426, 18, 21952, 1534, 276, 585, 16, 45560, 10, 367, 63, 269, 18, 19, 65, 14, 10, 585, 17775, 65, 19114, 338, 16, 188, 426, 18767, 2010, 27, 19114, 2012, 5094, 21, 88, 20, 82, 11, 30548, 18, 65, 1779, 38, 27, 21, 41, 38, 19114, 2224, 18, 10, 13783, 14, 36594, 1779, 5094, 83, 65, 188, 325, 14, 18, 374, 65, 14, 43384, 2192, 6892, 188, 1465, 63, 14, 18, 82, 1465, 82, 585, 495, 10, 374, 21, 65, 65, 17, 14, 1030, 261, 23, 261, 21952, 477, 10462, 38, 426, 1188, 1067, 426, 324, 65, 261, 11196, 21, 14, 16, 72, 581, 11196, 14, 36594, 188, 10, 30548, 1210, 65, 18, 65, 2046, 2012, 88, 373, 10, 10, 18, 86, 791, 1779, 18, 3933, 4552, 63, 26, 14, 1217, 52, 21952, 14, 72, 10, 16, 261, 10, 14, 613, 10, 65, 1779, 80, 1244, 2413, 8456, 707, 35295, 14, 1827, 55, 261, 2010, 11902, 9, 1188, 65, 18, 269, 14, 2820, 1952, 1210, 246, 13553, 11, 16, 10, 1076, 367, 367, 324, 2192, 10, 12897, 20, 38, 10, 8456, 475, 5823, 26, 374, 2413, 8376, 38, 65, 11, 11902, 45098, 188, 581, 5094, 18566, 19463, 426, 38931, 11902, 61, 367, 18566, 1779, 2689, 1800, 38, 21, 19, 18, 1262, 21, 21, 1369, 65, 10424, 12296, 18, 10, 18, 261, 10, 14, 11196, 23, 14, 1205, 1262, 38, 10, 10, 12400, 15927, 21, 82, 14, 426, 26, 14, 82, 65, 261, 14, 29817, 6106, 314, 647, 20, 585, 261, 1356, 15927, 65, 188, 14, 14, 38, 1827, 26, 38, 367, 1188, 11, 63, 38, 43384, 18, 426, 338, 61, 470, 870, 10, 2190, 11707, 19, 30548, 65, 2484, 26004, 1210, 558, 10, 3193, 7252, 407, 65, 10, 684, 10, 18, 8456, 1076, 477, 477, 10, 477, 18, 82, 11902, 11902, 82, 261, 14, 1262, 14, 426, 18, 86, 38, 9147, 53, 335, 63, 2855, 2484, 10, 11196, 72, 2484, 16, 261, 399, 188, 585, 37737, 2076, 5283, 3495, 306, 16, 188, 5094, 13575, 82, 2010, 585, 5094, 188, 38, 10, 16, 70, 65, 18, 6106, 1954, 585, 1210, 1320, 269, 15927, 11902, 13160, 706, 417, 8456, 585, 18566, 82, 32101, 18, 16199, 7048, 26004, 89, 23676, 188, 15927, 426, 1689, 19, 1510, 19, 23, 5318, 14, 647, 6106, 14, 82, 2076, 367, 367, 6106, 18, 61, 8343, 477, 477, 10855, 11707, 335, 10, 269, 21, 470, 6106, 1205, 2165, 19, 5283, 11902, 11, 90 ]

[ 1, 343, 12111, 6086, 25602, 1115, 374, 2884, 7507, 16, 1368, 81, 740, 188, 1282, 4615, 18, 276, 324, 20778, 75, 274, 3402, 311, 3, 188, 274, 248, 25358, 276, 307, 254, 5346, 254, 68, 321, 495, 5523, 13525, 8221, 272, 327, 254, 551, 47492, 37753, 16, 75, 440, 3, 254, 618, 20794, 276, 248, 8054, 34379, 254, 1640, 282, 2341, 2520, 6097, 274, 274, 4317, 368, 85, 188, 1480, 14, 395, 794, 2218, 15256, 390, 19, 274, 254, 9890, 13326, 14, 1186, 889, 188, 9845, 16, 18383, 31552, 7320, 254, 4970, 274, 14, 1427, 1220, 16590, 14726, 1238, 43, 30583, 254, 580, 357, 9220, 457, 457, 16168, 274, 18, 274, 476, 1120, 8054, 2741, 7574, 590, 188, 274, 15, 1253, 16, 619, 32186, 551, 4832, 23, 8872, 327, 915, 311, 6828, 23, 25788, 21, 18, 729, 13168, 5241, 8872, 12537, 33211, 3396, 374, 248, 11287, 276, 2759, 16, 254, 324, 2124, 41366, 1582, 18, 19, 18477, 22451, 1827, 13525, 25387, 16380, 103, 7388, 282, 9842, 286, 324, 276, 7102, 9423, 384, 452, 16875, 274, 7199, 772, 3851, 31416, 274, 276, 6558, 1221, 344, 3310, 747, 3547, 16, 265, 21841, 282, 254, 27310, 14, 3364, 248, 85, 35824, 35, 1280, 12957, 357, 23318, 17516, 258, 274, 338, 686, 14, 16, 641, 5734, 39448, 662, 24941, 369, 42460, 281, 13040, 23, 9901, 633, 254, 338, 14, 662, 476, 16380, 374, 282, 378, 10244, 3153, 769, 1042, 16, 26414, 311, 85, 5189, 555, 188, 338, 31031, 357, 343, 254, 7650, 396, 345, 3547, 1783, 15, 10427, 254, 5935, 254, 310, 3470, 7034, 14, 248, 311, 1491, 888, 4910, 46231, 25358, 532, 10727, 457, 2144, 20282, 188, 311, 322, 784, 286, 2041, 36539, 4190, 188, 665, 2343, 495, 40772, 254, 91, 671, 6199, 16, 9157, 188, 368, 35158, 6255, 8459, 10030, 13121, 18451, 2023, 9357, 286, 10452, 5467, 26, 46104, 23679, 27173, 14, 16, 4995, 23, 343, 16380, 24339, 1919, 1665, 24339, 16663, 16, 520, 9274, 457, 1427, 6942, 16, 276, 21770, 8557, 188, 188, 10244, 9842, 328, 33526, 580, 865, 819, 272, 387, 8634, 328, 11266, 16, 91, 29, 17406, 561, 16, 19910, 3782, 310, 0, 1640, 286, 311, 915, 683, 15201, 27, 4829, 71, 25788, 286, 16, 909, 18, 3191, 274, 24, 387, 5138, 12451, 16590, 282, 272, 11017, 343, 374, 10186, 276, 16, 274, 249, 37215, 8054, 818, 310, 15402, 6423, 12968, 432, 441, 26, 29, 45192, 14, 618, 387, 6221, 321, 417, 47287, 27501, 1427, 18692, 21082, 551, 13168, 414, 387, 248, 406, 1663, 25788, 740, 758, 188, 610, 13525, 29971, 442, 19, 5637, 210, 26043, 270, 641, 40, 24027, 3414, 26, 286, 434, 22451, 210, 309, 26, 286, 3014, 597, 1157, 25676, 1569, 254, 26, 747, 17646, 2876, 327, 4402, 457, 17522, 1863, 338, 254, 11988, 25, 12412, 45718, 274, 1260, 27492, 1590, 25113, 254, 282, 20282, 8872, 13133, 2408, 25102, 85, 16, 432, 24463, 416, 321, 269, 1062, 188, 41366, 2951, 276, 27, 24463, 3191, 188, 28, 254, 248, 482, 779, 14, 248, 282, 27, 14, 25591, 85, 20, 6423, 2780, 1256, 1013, 10244, 18144, 3, 454, 16, 2718, 360, 274, 2019, 2286, 0, 2696, 6631, 254, 520, 85, 8533, 254, 274, 254, 16, 21838, 248, 388, 17258, 2187, 57, 21891, 457, 188, 286, 14, 387, 457, 81, 18, 254, 22383, 310, 42460, 9747, 188, 14, 5325, 15366, 760, 248, 759, 42460, 308, 6728, 17194, 407, 5495, 266, 282, 343, 28388, 636, 457, 14, 188, 286, 599, 15201, 16, 12317, 10564, 23, 2463, 248, 254, 30398, 3998, 2377, 86, 15432, 751, 1637, 16, 395, 98, 26610, 282, 328, 4615, 801, 12288, 3417, 1158, 5421, 7640, 1723, 29, 1417, 7617, 324, 495, 619, 274, 436, 432, 286, 1569, 28507, 16, 276, 374, 625, 36514, 16, 10244, 37731, 254, 4109, 1926, 9493, 254, 248, 286, 14, 282, 9394, 16, 29, 1822, 353, 295, 452, 417, 394, 3611, 299, 4009, 29298, 12957, 188, 33102, 10172, 286, 386, 4043, 602, 2413, 328, 12683, 2836, 18, 4297, 5523, 282, 274, 254, 587, 29715, 2328, 210, 25788, 1223, 35824, 10945, 2836, 9966, 46635, 5494, 85, 1008, 188, 1128, 254, 32186, 14, 14, 274, 743, 22119, 619, 1920, 596, 14, 248, 16, 344, 54, 729, 8747, 445, 15402, 7034, 2723, 19, 3, 1982, 248, 286, 11658, 85, 274, 6715, 537, 19570, 254, 10060, 374, 254, 286, 457, 751, 16, 0, 2114, 2758, 14, 390, 286, 1427, 1130, 1391, 740, 1385, 1002, 10126, 16, 495, 75, 14, 8195, 14, 8054, 476, 830, 321, 794, 0, 597, 28, 338, 687, 457, 740, 13067, 310, 188, 324, 562, 16, 10060, 248, 312, 12537, 9842, 85, 521, 368, 417, 327, 457, 274, 16, 14799, 542, 551, 390, 248, 624, 29, 5523, 432, 8946, 2722, 17591, 436, 7379, 772, 188, 4297, 872, 19, 1186, 75, 619, 16380, 1638, 798, 254, 1354, 27, 23, 2497, 2927, 16717, 42460, 457, 486, 1516, 14, 15, 1304, 254, 382, 343, 33, 31552, 14499, 18, 457, 16, 348, 343, 2123, 16319, 23679, 28401, 510, 6654, 286, 16, 619, 671, 254, 39022, 188, 13521, 4119, 19453, 12957, 387, 1316, 2065, 188, 1579, 2977, 12249, 19, 532, 188, 15350, 453, 84, 18531, 19, 16, 5619, 31552, 252, 12957, 6971, 1503, 17985, 282, 8221, 248, 274, 274, 11108, 1621, 587, 255, 353, 10244, 2210, 687, 3326, 14074, 272, 188, 274, 4313, 27, 5554, 16, 254, 188, 8994, 16, 1091, 343, 16, 834, 807, 188, 417, 13151, 21634, 357, 34548, 310, 16, 1590, 403, 380, 31235, 286, 1012, 889, 43040, 1090, 254, 1012, 17194, 188, 457, 434, 687, 248, 1416, 314, 395, 374, 3424, 7421, 0, 5891, 8825, 280, 581, 22715, 641, 16, 3545, 19665, 12217, 338, 91, 274, 41891, 3906, 610, 750, 592, 286, 23757, 3809, 1361, 19966, 1339, 368, 2341, 286, 5232, 282, 188, 24463, 6050, 33106, 1507, 1149, 395, 643, 618, 25591, 2341, 6033, 25, 31789, 188, 911, 14, 20710, 826, 6423, 4126, 1169, 286, 188, 747, 31867, 11100, 2234, 75, 774, 1416, 328, 2531, 395, 6244, 9622, 3567, 2956, 16, 2210, 17234, 276, 3132, 911, 14074, 286, 42946, 6199, 16, 254, 33, 22966, 9842, 4099, 16, 618, 403, 324, 2244, 276, 740, 2169, 8114, 14, 254, 1427, 30643, 1640, 909, 407, 650, 399, 286, 16, 35824, 272, 3364 ]

[ 1, 611, 2075, 2490, 188, 16, 13883, 4565, 457, 16, 2874, 248, 476, 248, 2072, 368, 251, 751, 6053, 457, 286, 670, 2871, 15, 16, 1354, 2966, 563, 2038, 593, 15, 2353, 248, 7213, 286, 16, 5577, 1619, 348, 282, 286, 593, 1623, 311, 248, 29803, 248, 580, 11820, 14, 457, 555, 188, 512, 348, 353, 8114, 2874, 2529, 2497, 48098, 587, 2449, 6250, 889, 9308, 11090, 457, 22286, 403, 16, 14997, 4279, 254, 20379, 580, 16, 1722, 42987, 254, 2497, 254, 286, 596, 32433, 403, 5085, 4793, 188, 1181, 16, 11023, 13178, 4269, 274, 16, 4244, 2634, 607, 422, 580, 748, 457, 14488, 16, 368, 25837, 927, 13271, 597, 16533, 476, 276, 520, 276, 14630, 16, 3021, 2424, 254, 1260, 348, 89, 1017, 457, 1625, 17715, 974, 15, 688, 403, 8645, 624, 476, 343, 286, 1515, 1308, 282, 633, 7823, 2350, 37239, 748, 1408, 368, 14, 15679, 86, 16, 14, 282, 32433, 54, 348, 6191, 14, 626, 2408, 16, 5346, 248, 282, 16, 321, 8418, 248, 327, 3144, 2626, 8013, 1268, 476, 274, 3831, 6939, 248, 457, 1678, 1845, 353, 282, 188, 597, 1002, 254, 14, 368, 603, 4544, 15, 272, 2706, 248, 28175, 2835, 14, 2835, 311, 2008, 188, 368, 14, 1153, 254, 403, 719, 1707, 282, 1755, 747, 2657, 12077, 7059, 286, 977, 476, 2187, 14380, 1678, 328, 15246, 43604, 282, 34506, 11090, 4443, 401, 626, 457, 89, 11897, 248, 368, 2169, 580, 3458, 85, 272, 748, 17715, 713, 327, 14, 327, 5416, 2701, 944, 633, 15, 615, 819, 348, 1547, 4816, 254, 248, 32433, 5740, 12572, 22, 1241, 713, 380, 16, 286, 368, 10393, 626, 669, 42521, 300, 38716, 254, 10308, 670, 2396, 248, 14, 10308, 2982, 2602, 254, 2003, 16, 254, 2758, 16, 19775, 33605, 35930, 311, 14989, 14, 14, 1247, 484, 188, 927, 4311, 6107, 327, 2424, 4244, 4270, 1491, 85, 16, 633, 16, 13271, 37132, 85, 1395, 2066, 1286, 2966, 1294, 14, 327, 248, 1444, 743, 345, 14231, 7271, 85, 580, 328, 457, 3861, 39418, 8950, 8645, 368, 457, 26799, 327, 251, 16, 1625, 14, 254, 16, 21619, 254, 687, 819, 16, 597, 16, 311, 1956, 4606, 513, 1051, 10487, 254, 4400, 939, 14, 12336, 927, 14, 18742, 35930, 6437, 14, 16, 16533, 37708, 254, 16, 251, 6013, 826, 368, 22966, 1990, 327, 15, 665, 8873, 580, 274, 751, 16, 4684, 14, 963, 432, 626, 9713, 10888, 5210, 1610, 10263, 248, 6727, 368, 348, 476, 2936, 18837, 254, 1041, 286, 251, 16, 282, 11709, 457, 307, 2746, 4646, 1221, 14, 2686, 274, 4244, 368, 254, 432, 29768, 24844, 368, 188, 276, 353, 274, 748, 403, 353, 1503, 669, 15, 855, 2320, 7624, 476, 1051, 633, 12918, 10308, 1951, 14, 327, 35930, 24243, 1128, 3638, 16, 641, 3379, 457, 282, 14794, 593, 6131, 16, 338, 1464, 353, 513, 35930, 282, 3646, 282, 11045, 731, 8555, 1153, 6053, 274, 6053, 15, 248, 2485, 254, 28526, 731, 2645, 14375, 7212, 7222, 353, 80, 555, 626, 251, 11153, 274, 18742, 14, 282, 254, 37308, 1438, 14, 830, 272, 2107, 2687, 85, 276, 587, 321, 2023, 10308, 15309, 12360, 2752, 254, 16, 1220, 254, 403, 14, 403, 248, 2646, 731, 663, 1916, 274, 348, 3432, 6053, 380, 321, 6320, 282, 6093, 512, 368, 1041, 11776, 6815, 248, 9138, 8053, 4269, 1594, 15, 915, 24908, 15, 633, 15, 85, 1852, 2034, 963, 5562, 641, 6949, 2626, 16, 353, 1479, 274, 561, 16, 5041, 748, 963, 4422, 274, 1286, 452, 457, 1656, 10209, 1508, 1842, 14, 948, 348, 1830, 603, 276, 830, 1438, 11466, 457, 1042, 9747, 282, 16, 1350, 836, 16, 10689, 251, 353, 561, 6053, 18, 272, 254, 274, 6939, 368, 41242, 5210, 248, 5070, 286, 2416, 18639, 476, 15, 15, 7528, 353, 944, 6939, 282, 248, 254, 327, 311, 1042, 368, 282, 417, 2485, 274, 1063, 311, 47374, 311, 3831, 8164, 274, 790, 1220, 8899, 254, 16, 743, 22729, 1180, 286, 403, 33143, 43735, 5537, 14115, 348, 7395, 348, 327, 7995, 16, 324, 1056, 282, 16, 1845, 251, 324, 16, 941, 282, 2645, 1263, 254, 254, 404, 16, 790, 25105, 423, 596, 14, 248, 251, 11859, 37708, 15, 10308, 1012, 272, 669, 6255, 327, 719, 85, 14, 15, 311, 4832, 1480, 368, 603, 2563, 1390, 348, 10073, 14, 5511, 4806, 633, 457, 473, 963, 274, 457, 1057, 16, 327, 390, 353, 188, 3462, 1525, 2523, 248, 14, 311, 1394, 624, 8873, 852, 39206, 343, 731, 10308, 254, 380, 15, 16533, 254, 743, 327, 345, 16, 1042, 835, 6215, 1394, 16, 1253, 14, 9791, 1026, 436, 742, 2350, 23901, 2008, 2532, 932, 9260, 1130, 5440, 603, 407, 9892, 16, 282, 561, 18603, 353, 4565, 476, 17126, 12572, 11976, 5127, 35930, 15, 18991, 2042, 5114, 327, 665, 6939, 963, 5510, 650, 3061, 16920, 4422, 387, 597, 248, 1354, 272, 11922, 403, 6053, 669, 368, 286, 2713, 12492, 2563, 35930, 248, 368, 47966, 274, 368, 15, 8873, 841, 16, 9196, 274, 2485, 16, 888, 729, 15, 80, 456, 16, 1238, 452, 5634, 248, 3034, 14, 14, 452, 19277, 348, 944, 6211, 390, 248, 14, 16, 282, 16, 4045, 368, 368, 633, 1625, 80, 2692, 248, 7815, 274, 3845, 1286, 33573, 1042, 10308, 33, 3652, 457, 324, 188, 2517, 311, 345, 3294, 311, 3831, 254, 2818, 327, 3867, 3805, 2713, 15, 841, 286, 1610, 2835, 348, 963, 348, 188, 15, 33, 29364, 790, 10847, 2622, 4017, 16, 20379, 272, 348, 1789, 1683, 311, 311, 14, 327, 12394, 16, 2835, 6107, 276, 31890, 14586, 963, 254, 274, 286, 7815, 273, 274, 348, 254, 2028, 369, 5690, 14, 5582, 3199, 286, 2634, 348, 10689, 248, 4647, 324, 276, 17404, 1015, 7950, 5691, 403, 607, 633, 4189, 4877, 476, 1183, 1041, 368, 1903, 286, 836, 348, 286, 1220, 2645, 4269, 1181, 254, 16, 4090, 8372, 25837, 282, 7213, 254, 33, 25738, 596, 353, 254, 417, 15, 14, 37601, 6975, 276, 16533, 3912, 4322, 1012, 1308, 15, 276, 18742, 276, 811, 390, 254, 19277, 348, 16642, 633, 18837, 327, 6204, 390, 1220, 15, 254, 40, 89, 1241, 683, 274, 5577, 2034, 14, 368, 2072, 18854, 1394, 5480, 9138, 423, 6578, 21413, 1041, 1260, 2187, 898, 15, 7732, 248, 311, 10689, 15, 33, 561, 9159, 368, 327, 15, 2874, 669 ]

[ 1, 11475, 16, 65, 2012, 45098, 3510, 2012, 423, 16, 266, 11, 1740, 3493, 1972, 603, 11, 603, 1003, 39366, 324, 1827, 16, 10633, 784, 1740, 12653, 16, 5868, 45098, 784, 1819, 44288, 256, 392, 1003, 3343, 266, 5868, 1827, 31, 4608, 65, 282, 19211, 276, 14, 647, 603, 3060, 10633, 926, 256, 926, 1574, 16, 14, 16, 926, 926, 1827, 16, 344, 5141, 19230, 916, 3243, 2621, 80, 2959, 65, 926, 1003, 684, 1003, 3067, 37282, 11475, 34854, 1516, 1465, 31, 603, 2012, 13855, 647, 784, 16, 1827, 28, 16, 426, 20814, 19003, 1827, 917, 19230, 6171, 447, 4862, 4668, 1635, 254, 15859, 647, 362, 28, 8382, 344, 18579, 5550, 4608, 4298, 10543, 20130, 30310, 684, 926, 256, 16247, 1262, 684, 6472, 2468, 784, 65, 19003, 2959, 733, 926, 1392, 16, 603, 40444, 65, 916, 1358, 256, 13855, 24931, 6923, 2720, 917, 42148, 2012, 10, 16, 3243, 1262, 1800, 684, 11, 603, 917, 3179, 6923, 362, 16, 256, 42148, 256, 13730, 1827, 801, 268, 20270, 1827, 18913, 3243, 15859, 647, 684, 917, 1479, 1003, 603, 19230, 926, 670, 16, 16, 45098, 282, 16247, 4862, 1800, 38399, 3117, 3584, 417, 256, 65, 1262, 13730, 8896, 6472, 11, 603, 7414, 684, 426, 266, 258, 9175, 210, 2720, 926, 14, 256, 1003, 22344, 256, 8382, 1827, 65, 16, 5868, 2012, 744, 16, 282, 2959, 327, 79, 2087, 784, 16, 593, 6171, 2012, 426, 403, 3060, 3067, 254, 266, 1195, 3226, 20270, 926, 1952, 14, 49, 65, 16, 65, 10633, 784, 603, 5141, 4862, 917, 10362, 10, 1003, 4608, 6171, 8382, 26491, 34178, 10, 2959, 10633, 603, 455, 38399, 14, 15859, 344, 10633, 266, 248, 2768, 2768, 2087, 44288, 30310, 912, 2768, 926, 900, 4005, 65, 791, 44438, 16762, 1952, 2621, 256, 16, 33453, 2012, 11916, 28, 3899, 266, 5141, 6975, 10633, 16, 647, 1554, 28, 1827, 2959, 532, 11475, 16, 889, 16, 447, 1003, 931, 4418, 1800, 426, 926, 784, 3934, 4445, 1827, 3060, 28, 684, 324, 426, 1827, 10633, 16, 10, 2621, 558, 65, 917, 1827, 3299, 3067, 45098, 3032, 24318, 13855, 5141, 36, 14212, 3544, 784, 684, 65, 2012, 16, 926, 22344, 283, 10633, 16, 465, 45098, 603, 14, 14, 5868, 274, 4020, 11, 77, 684, 15965, 254, 1003, 1491, 36, 1003, 14212, 6975, 16, 426, 2224, 1302, 2959, 10633, 254, 20270, 4765, 16, 647, 65, 23614, 11475, 16, 28, 680, 2012, 926, 42148, 11033, 3006, 27985, 34178, 16, 13855, 784, 42148, 2012, 6171, 926, 2959, 256, 555, 10633, 79, 3060, 1740, 344, 804, 14212, 266, 426, 926, 266, 1551, 12494, 647, 16, 671, 3726, 2768, 16, 1358, 6472, 426, 2012, 45098, 30310, 16, 16, 19230, 28, 784, 324, 311, 1827, 3299, 16247, 5141, 2012, 1067, 784, 931, 10633, 34178, 1800, 42148, 16342, 11, 684, 65, 3864, 10, 704, 1003, 40271, 344, 256, 13730, 20270, 647, 2282, 1574, 3060, 39366, 11, 3067, 3584, 347, 926, 16, 1827, 5141, 266, 10, 926, 8037, 324, 3006, 926, 330, 392, 1003, 3361, 926, 1358, 426, 603, 22344, 1477, 1827, 362, 647, 254, 784, 7902, 3067, 38399, 1800, 426, 733, 13117, 647, 8382, 8037, 3060, 647, 1076, 42148, 1547, 926, 3361, 3067, 266, 603, 65, 45098, 16, 1286, 589, 9175, 647, 266, 10, 266, 926, 23881, 65, 26451, 5868, 1262, 2313, 44288, 5868, 38399, 14, 917, 684, 14, 1003, 680, 19003, 8382, 9, 80, 347, 558, 6171, 45098, 16, 16, 11, 16, 310, 718, 647, 426, 266, 2382, 14, 2192, 1827, 276, 926, 42148, 28359, 684, 2430, 5141, 311, 647, 266, 10633, 79, 19230, 254, 603, 256, 426, 6593, 344, 311, 1827, 1827, 647, 30310, 23614, 647, 10, 6613, 9, 684, 16, 28, 13730, 16, 933, 647, 344, 1827, 680, 3060, 248, 16, 210, 256, 4862, 14, 784, 266, 1952, 266, 1827, 1827, 931, 274, 10633, 266, 647, 45098, 11916, 16, 16, 11836, 1952, 82, 417, 1952, 82, 10, 804, 254, 1800, 85, 533, 28283, 647, 266, 268, 28, 603, 1554, 1003, 14212, 14, 647, 65, 1153, 3291, 344, 4862, 10633, 16, 417, 13730, 16, 3299, 2959, 38399, 10, 16, 16, 16, 4862, 45098, 4862, 2224, 926, 256, 603, 5868, 16, 2384, 18913, 11916, 9, 1003, 16, 2012, 926, 22344, 10633, 426, 15859, 321, 16, 684, 3067, 5550, 1827, 61, 282, 3067, 256, 16, 5868, 42148, 266, 2768, 14, 16247, 15135, 6171, 37282, 2192, 6472, 258, 16, 11033, 16, 2768, 16247, 17, 3864, 17584, 268, 16, 16247, 2224, 42148, 3067, 16, 14, 314, 3299, 926, 1465, 256, 20814, 1003, 8740, 684, 2012, 321, 16, 3510, 10633, 79, 314, 5141, 10, 926, 647, 3006, 684, 256, 14, 1554, 4862, 45098, 28, 82, 266, 18913, 1358, 311, 16, 18579, 784, 6923, 256, 10, 2768, 266, 6171, 9321, 647, 353, 65, 6171, 18428, 14439, 1003, 8740, 10633, 268, 6171, 34854, 684, 3226, 801, 2768, 256, 11, 276, 14, 1003, 680, 1262, 3584, 1827, 65, 426, 744, 16, 684, 16, 2768, 16, 10633, 65, 16247, 4608, 603, 784, 256, 392, 6472, 10, 1358, 1827, 3060, 28, 1262, 25398, 5141, 2224, 10, 2959, 3067, 1827, 3067, 684, 647, 65, 65, 1210, 2224, 3067, 1302, 46355, 79, 1574, 2012, 3427, 2629, 16, 8740, 1262, 926, 5141, 10633, 2621, 3067, 6171, 470, 343, 16, 65, 931, 4298, 912, 784, 1827, 603, 917, 276, 926, 353, 3067, 2768, 14, 26451, 5141, 44288, 647, 392, 65, 10, 14, 42148, 10, 647, 2621, 12494, 926, 63, 3544, 10633, 344, 2192, 1827, 1160, 254, 311, 22344, 3510, 31, 5550, 2720, 8382, 18913, 1067, 684, 45098, 3427, 403, 3510, 18913, 470, 16, 2386, 3067, 16, 42148, 2621, 19230, 36, 16, 16, 784, 16, 1800, 4005, 65, 10852, 15859, 1827, 684, 16, 8382, 10633, 1827, 10633, 80, 684, 647, 79, 65, 31968, 784, 926, 4390, 2579, 14068, 16, 26451, 45098, 5141, 366, 6923, 1358, 647, 16, 1733, 16, 916, 426, 16, 5135, 704, 14, 3067, 14, 28, 5141, 784, 3510, 395, 10, 10633, 426, 426, 2959, 266, 1800, 28, 16, 6472, 360, 6613, 20270, 647, 16247, 2768, 37282, 20652, 254, 1827, 3291, 39366, 80, 16, 16, 426, 5530, 2768, 4608, 684, 3067, 17079, 603, 26451, 266, 665, 4608, 15859, 283, 5141, 256, 684, 254, 3067, 28, 5983, 42148, 4937, 784, 37530, 362, 266, 11400, 3067, 916, 558, 10633, 14212, 926, 16 ]

[ 1, 19352, 16, 14, 22412, 5498, 5690, 4778, 360, 3418, 1305, 2156, 3854, 2610, 286, 4010, 16, 16669, 26532, 47625, 328, 5444, 16, 3768, 12668, 282, 1499, 1841, 286, 327, 14, 2712, 286, 286, 276, 35167, 16, 825, 670, 31217, 14, 5351, 479, 274, 750, 254, 1339, 39052, 4010, 14, 374, 254, 3470, 5797, 7674, 457, 254, 532, 457, 16, 14, 9185, 254, 532, 2410, 7948, 1480, 310, 254, 353, 22297, 545, 276, 3324, 248, 3505, 801, 403, 2317, 34814, 16, 298, 14, 0, 380, 16, 272, 3133, 24120, 7674, 5634, 20830, 963, 2023, 286, 22771, 13415, 1705, 933, 11413, 276, 15500, 327, 7023, 31106, 1851, 324, 286, 2560, 254, 14, 933, 328, 5734, 743, 4558, 529, 16, 2023, 597, 14, 311, 286, 16222, 2485, 88, 274, 785, 254, 369, 4126, 43, 33, 274, 8747, 33747, 16, 13531, 286, 8851, 3609, 5461, 307, 6140, 23377, 6213, 643, 16, 91, 1683, 286, 5866, 14, 274, 5704, 3026, 343, 5427, 2009, 9330, 14, 1887, 14, 17800, 9185, 282, 248, 286, 26122, 2828, 14, 248, 642, 12570, 311, 14053, 2023, 2114, 327, 5678, 15, 276, 500, 24130, 2790, 2731, 282, 14, 1038, 5925, 310, 1321, 6024, 343, 11656, 2883, 328, 16, 286, 255, 13467, 872, 20830, 23422, 473, 1516, 16, 9604, 14, 25419, 314, 353, 457, 282, 8118, 348, 23377, 7320, 14, 1577, 520, 18213, 1460, 276, 4541, 756, 248, 29820, 12866, 2152, 14, 43, 2290, 3379, 14, 11186, 387, 2943, 1615, 3351, 2353, 25419, 17985, 254, 310, 274, 7614, 6179, 18962, 457, 248, 23377, 801, 14115, 286, 188, 286, 1198, 3826, 23199, 324, 286, 497, 407, 869, 1845, 39916, 532, 1260, 286, 348, 254, 16, 311, 254, 2151, 248, 282, 14, 18007, 18751, 327, 274, 328, 4475, 763, 3483, 85, 618, 494, 324, 16, 457, 14053, 1596, 16, 14204, 274, 3805, 386, 282, 274, 21542, 9650, 16, 282, 4028, 3368, 274, 286, 529, 4525, 17035, 749, 618, 9347, 597, 9804, 6503, 13531, 37205, 18934, 1419, 3379, 23377, 33731, 663, 8856, 1321, 5105, 6109, 618, 2624, 494, 9391, 254, 248, 2055, 4778, 555, 274, 939, 248, 9185, 2843, 254, 4168, 32878, 533, 1400, 2349, 328, 286, 5105, 16, 6384, 2464, 7916, 20830, 26532, 3282, 13130, 2110, 16, 14, 14, 533, 272, 282, 494, 520, 311, 587, 6494, 436, 668, 36339, 282, 436, 1460, 53, 481, 254, 286, 5123, 286, 21433, 254, 310, 310, 286, 3673, 387, 2563, 1130, 25567, 348, 6344, 17891, 2318, 13415, 13531, 3127, 8517, 248, 2501, 6640, 17226, 1311, 86, 5427, 324, 1516, 282, 15696, 307, 254, 2610, 9328, 314, 274, 282, 286, 802, 479, 248, 11, 53, 14, 944, 38, 2339, 2610, 5687, 286, 276, 254, 3458, 12856, 85, 687, 607, 18351, 663, 33, 387, 618, 254, 248, 286, 23377, 2824, 6561, 2983, 7816, 16, 272, 324, 276, 16, 14204, 15083, 756, 872, 18136, 479, 248, 5156, 3310, 5123, 1691, 6259, 5866, 20830, 942, 8504, 16, 5309, 14, 8118, 457, 1464, 16, 14, 33264, 2371, 286, 1956, 282, 23430, 2075, 436, 10313, 328, 4475, 7338, 3348, 2152, 2610, 276, 2591, 3196, 254, 13415, 13620, 6564, 1648, 369, 1795, 16, 2315, 2057, 479, 4980, 276, 500, 1863, 23906, 5713, 14, 15500, 324, 41364, 14, 1305, 254, 642, 12434, 436, 2306, 19, 53, 45002, 248, 3135, 276, 6384, 3096, 13666, 6082, 1268, 311, 750, 11336, 28, 14204, 188, 16, 276, 14204, 1129, 85, 750, 44, 11186, 4869, 520, 16, 286, 16, 2996, 280, 403, 8185, 86, 16, 41969, 1354, 14087, 254, 414, 286, 16, 5150, 4010, 15510, 16, 3831, 311, 41507, 254, 587, 310, 1408, 248, 3854, 53, 5374, 35, 7512, 286, 417, 276, 11939, 2072, 9120, 188, 618, 4479, 2318, 248, 22388, 2109, 282, 2449, 510, 19608, 6054, 447, 369, 16, 5457, 387, 286, 3970, 2640, 324, 327, 16, 946, 310, 79, 452, 1460, 1012, 254, 1495, 254, 8517, 282, 345, 14, 348, 1916, 11994, 13531, 14, 11392, 43, 5192, 2764, 17035, 939, 5574, 188, 188, 16, 38928, 86, 4337, 3351, 19049, 343, 14, 441, 26532, 16, 835, 5427, 254, 16, 669, 11439, 20201, 3542, 3233, 6494, 14, 750, 1449, 254, 14, 310, 79, 276, 248, 15, 188, 188, 43, 670, 5884, 1806, 2115, 7673, 1176, 272, 11479, 14, 22388, 9185, 3609, 9185, 16, 254, 731, 254, 1364, 297, 188, 2610, 44860, 1427, 276, 872, 6324, 21433, 23430, 324, 5866, 85, 1767, 31637, 254, 580, 310, 25419, 8185, 10967, 5384, 274, 3996, 4954, 869, 18, 1842, 1460, 338, 9185, 46705, 457, 43, 1090, 750, 758, 314, 22388, 8069, 872, 1495, 286, 3802, 713, 345, 16, 311, 254, 38187, 8995, 2244, 3026, 1157, 8111, 2421, 16, 3402, 274, 6693, 282, 14204, 254, 2964, 3470, 274, 248, 4167, 18, 13519, 248, 452, 520, 11, 4524, 3510, 6649, 479, 12691, 16, 16, 16, 532, 520, 14, 17891, 16, 286, 597, 188, 31637, 38187, 282, 10501, 1564, 276, 14, 254, 310, 1081, 7674, 1321, 713, 12534, 286, 248, 311, 324, 11071, 2263, 1651, 360, 282, 7528, 282, 345, 260, 274, 2610, 282, 328, 12531, 43, 8707, 4633, 1364, 276, 529, 276, 1603, 311, 763, 665, 1321, 8807, 282, 3290, 38187, 254, 5534, 16, 587, 12915, 775, 286, 6975, 37927, 286, 16, 1464, 758, 3282, 10040, 44176, 668, 4877, 18, 2059, 38108, 85, 16290, 23377, 6317, 457, 2489, 3800, 276, 457, 447, 43, 254, 26122, 254, 472, 254, 274, 9185, 13927, 14, 254, 16, 16, 743, 8662, 254, 282, 3002, 274, 248, 310, 500, 695, 14388, 3250, 2142, 17891, 16, 12093, 43479, 520, 254, 17985, 4442, 286, 6971, 11839, 1245, 7434, 321, 14, 9375, 311, 3063, 380, 348, 248, 4168, 20830, 16, 16, 382, 3116, 4566, 500, 1268, 4163, 16, 512, 21, 963, 731, 683, 43728, 310, 321, 272, 3285, 457, 19454, 3248, 5150, 16, 7663, 1063, 79, 14, 332, 18489, 13415, 3609, 852, 286, 310, 436, 1689, 254, 23377, 254, 14204, 16, 1615, 529, 14, 5925, 310, 520, 248, 324, 4747, 254, 2378, 7686, 2836, 763, 1521, 619, 3310, 8856, 500, 9185, 3510, 14, 2378, 3285, 628, 16, 324, 16, 775, 5741, 6079, 276, 14, 4343, 457, 23620, 24700, 24151, 343, 23, 5256, 1525, 327, 324, 1225, 14, 1648, 479, 12148, 9015, 348, 5833, 248, 248, 2186, 43, 4128, 44, 254, 457, 944, 19104, 286, 500, 1110, 2836 ]

[ 1, 386, 26618, 5556, 9570, 497, 36665, 44163, 254, 327, 22929, 289, 3761, 1735, 14, 401, 374, 576, 286, 25398, 274, 695, 1044, 21, 331, 254, 10887, 3567, 10269, 14, 10784, 409, 476, 16, 274, 16409, 3630, 1725, 1525, 19, 14, 4715, 321, 3760, 21, 369, 86, 28895, 20, 5578, 6988, 9651, 607, 3930, 16, 811, 5083, 1822, 330, 37, 669, 26679, 9570, 39855, 4153, 20, 248, 6569, 4805, 14, 32733, 2332, 254, 21, 1873, 1225, 783, 3630, 432, 276, 24, 6825, 264, 6219, 41, 15, 314, 6117, 497, 481, 8337, 6768, 367, 5083, 14, 411, 81, 1702, 34014, 16, 40, 348, 343, 931, 248, 1530, 331, 353, 6195, 5445, 38379, 4950, 38379, 4058, 34848, 274, 14, 1044, 6714, 15, 10403, 360, 386, 30622, 20123, 324, 529, 1822, 276, 331, 327, 20, 1385, 14, 338, 3630, 314, 1848, 432, 6640, 9696, 13610, 276, 2688, 19, 7378, 8512, 59, 282, 39361, 86, 7094, 29967, 314, 26234, 15, 50, 30000, 37628, 14, 16180, 666, 14, 53, 25398, 30710, 3125, 28253, 5773, 8764, 19, 5083, 31187, 889, 314, 32776, 19, 1512, 289, 59, 52, 65, 314, 330, 1063, 276, 6724, 1961, 18091, 875, 14, 38316, 13058, 254, 17455, 276, 666, 40992, 331, 497, 666, 931, 37628, 573, 1348, 264, 4805, 30622, 4953, 35717, 6347, 6768, 338, 1910, 13, 2840, 16782, 314, 10447, 254, 1361, 22046, 15, 34595, 432, 37774, 3930, 286, 367, 1031, 31187, 9651, 390, 3818, 16232, 875, 276, 50, 8264, 1476, 29135, 16, 15, 9570, 12982, 38996, 14, 28001, 407, 15, 573, 30622, 1635, 26, 481, 939, 2363, 20, 286, 497, 432, 13170, 14, 898, 10061, 27, 432, 274, 4967, 282, 286, 5556, 276, 6768, 2103, 3971, 15151, 26, 643, 643, 25874, 282, 6219, 387, 15028, 22, 27, 2752, 20, 276, 16, 3836, 37628, 13975, 4921, 47248, 250, 7328, 36323, 324, 387, 7094, 7368, 15, 23, 643, 331, 16, 16, 2720, 576, 2035, 20, 21070, 327, 643, 2228, 8486, 23, 6462, 41, 32328, 12982, 26, 4061, 6966, 21896, 286, 9651, 367, 254, 1756, 343, 25, 386, 5726, 19, 272, 14, 14, 18093, 23, 348, 29709, 417, 20, 50, 3125, 38379, 17097, 16180, 15, 20, 4969, 532, 3930, 367, 15151, 331, 59, 1057, 286, 5747, 27, 1495, 22273, 15, 20, 1051, 36, 481, 3818, 276, 53, 348, 15, 10420, 576, 12492, 38316, 14, 9651, 9574, 3630, 23431, 9696, 16, 286, 3093, 348, 14, 20, 9651, 338, 20, 15, 374, 254, 1508, 12023, 14, 369, 22273, 1756, 264, 659, 286, 3756, 20, 369, 7572, 6714, 14, 1058, 875, 32776, 18, 497, 274, 23686, 39361, 15, 6031, 27929, 271, 5827, 276, 19, 2939, 432, 11229, 15, 17, 14, 2193, 38379, 37, 314, 839, 330, 19, 33070, 10037, 1041, 21463, 15198, 15770, 30111, 286, 7800, 20, 25, 1848, 16782, 3661, 274, 22, 286, 20207, 597, 21, 1275, 20, 5047, 18312, 28333, 10196, 21, 387, 15, 274, 875, 348, 10953, 481, 495, 16, 20016, 19, 16, 15, 16, 83, 1240, 9979, 19, 627, 7318, 254, 31742, 14, 374, 4580, 16, 314, 65, 188, 15, 374, 8764, 9570, 1621, 9918, 12023, 20, 481, 2932, 416, 5796, 3066, 10075, 309, 13663, 14, 11, 5578, 2856, 12098, 19129, 428, 3367, 254, 20207, 59, 14, 457, 286, 19, 59, 274, 20412, 3930, 18596, 32986, 12098, 9570, 20, 481, 26, 6462, 3630, 481, 5362, 4558, 1326, 6117, 254, 1735, 5486, 16, 24344, 25, 300, 21229, 18093, 27, 16, 3859, 20123, 23166, 20, 338, 24682, 28895, 254, 1102, 286, 20, 18777, 254, 367, 330, 14, 3908, 15, 15, 274, 407, 14, 3630, 1961, 23269, 432, 19, 1370, 1385, 1011, 19, 330, 9106, 254, 68, 13284, 3756, 17846, 2856, 67, 1726, 14, 2730, 20412, 3818, 17846, 5479, 432, 14, 25, 1317, 22, 597, 504, 481, 4805, 16, 14, 30360, 17522, 939, 6408, 369, 30327, 21, 3661, 8459, 343, 1142, 14441, 3366, 77, 954, 36595, 4652, 86, 16, 331, 1142, 23, 666, 37021, 31187, 6408, 605, 44798, 10501, 1993, 6684, 19, 463, 286, 4448, 463, 2317, 315, 374, 3930, 3756, 14, 272, 12916, 4580, 576, 26, 4655, 4426, 327, 22735, 8162, 274, 8459, 3930, 254, 331, 254, 331, 398, 274, 3756, 12739, 15, 5320, 836, 9570, 962, 1644, 3930, 14, 14, 16, 369, 374, 27, 11325, 22, 274, 481, 407, 282, 276, 53, 20, 1081, 418, 7283, 813, 20, 18, 20412, 939, 1139, 20, 286, 4413, 31337, 7292, 20, 33347, 2292, 3661, 11922, 3383, 14585, 8496, 8512, 69, 15151, 28785, 3338, 2363, 3427, 288, 6088, 38316, 369, 655, 30111, 288, 367, 10835, 14086, 21, 367, 59, 27628, 254, 20, 50, 14585, 1129, 15, 367, 573, 643, 27, 15, 6762, 9570, 387, 30710, 15119, 432, 270, 5578, 432, 4800, 42, 27, 331, 366, 9167, 1317, 16, 314, 4031, 1993, 11, 20, 30327, 10123, 532, 20123, 27929, 331, 15, 16, 4921, 1140, 274, 11, 324, 14, 25823, 10044, 21874, 5967, 248, 20, 331, 15, 9930, 41281, 286, 975, 5877, 19, 34595, 7934, 20, 276, 302, 43661, 276, 22717, 16, 15, 11946, 11, 5070, 1733, 2955, 314, 18093, 954, 19, 7167, 20, 3614, 38316, 666, 14722, 286, 573, 3808, 390, 367, 21, 330, 3930, 6966, 26388, 21, 254, 32015, 5043, 3212, 2229, 20, 291, 286, 21896, 18, 20123, 3488, 369, 3756, 286, 14, 15, 14, 9000, 19, 1621, 42, 27, 322, 369, 45, 30622, 15723, 367, 330, 12559, 1139, 38379, 73, 10562, 14, 4921, 40, 721, 47354, 1621, 338, 7389, 390, 18835, 20, 44838, 67, 9651, 44139, 5795, 481, 30710, 374, 40492, 21, 254, 250, 11, 9145, 276, 6757, 348, 26, 20, 813, 387, 3511, 457, 278, 369, 314, 19, 286, 314, 40309, 19, 15, 3930, 12098, 10401, 16, 481, 4953, 71, 14, 10887, 10415, 327, 276, 495, 605, 7206, 5083, 7094, 24558, 15335, 605, 24, 401, 59, 248, 20, 22, 2688, 3511, 576, 1725, 14, 20, 20, 21, 30710, 44163, 43, 19, 268, 19, 1795, 8459, 17, 643, 4892, 573, 17491, 22, 3367, 15, 432, 10784, 573, 19, 314, 274, 21, 59, 14585, 74, 21183, 457, 39545, 666, 470, 3808, 960, 15, 16827, 17350, 14, 6768, 2688, 576, 1448, 14353, 16, 14722, 6195, 36060, 367, 286, 11922, 19, 390, 15, 32986, 314, 314, 10887, 1205, 17, 2479, 11798, 13612, 36665, 1756, 26920, 274, 286, 12739, 14, 25, 276, 286, 286 ]

[ 1, 4926, 16094, 5064, 16, 297, 330, 4926, 39569, 1041, 5064, 804, 2678, 324, 647, 3064, 647, 13599, 14, 44444, 30477, 593, 31, 328, 1308, 18002, 347, 65, 1534, 46177, 65, 16, 31311, 587, 347, 872, 3513, 13244, 3125, 276, 1465, 9351, 804, 5146, 6185, 16, 16, 16, 17389, 1196, 254, 5735, 593, 647, 9763, 1142, 551, 10337, 13599, 9236, 1076, 14, 329, 647, 11, 360, 1142, 254, 16094, 286, 65, 6185, 21463, 5704, 10, 1003, 2706, 14200, 1581, 282, 2621, 23233, 1384, 16, 16, 1800, 5051, 17, 12761, 784, 10138, 65, 16, 779, 20269, 2678, 23064, 4862, 1014, 647, 1262, 16, 39569, 1827, 31, 19, 16, 16, 784, 327, 1534, 39569, 1004, 1076, 19, 88, 21463, 39569, 29842, 360, 14, 65, 19, 13599, 16, 6505, 1003, 5735, 1800, 6895, 5735, 23233, 65, 2707, 14590, 10112, 324, 709, 5037, 21463, 4667, 647, 1196, 7837, 9120, 587, 11, 14, 1465, 254, 1800, 23179, 1800, 6643, 9147, 14590, 330, 551, 65, 1296, 5064, 2497, 13599, 15798, 3226, 23233, 687, 8641, 39569, 46177, 9120, 330, 24167, 926, 926, 1827, 14, 254, 1827, 2621, 494, 416, 39569, 1296, 329, 16, 9147, 328, 687, 276, 46177, 88, 2662, 328, 23450, 65, 1142, 88, 2312, 28, 4024, 324, 16, 1800, 46177, 10, 414, 15798, 1041, 16, 593, 16, 647, 1869, 88, 63, 3308, 65, 5037, 46587, 18310, 10337, 16, 5735, 302, 5305, 647, 6271, 28, 16, 254, 8897, 4090, 9644, 14590, 39569, 8552, 328, 587, 1142, 24167, 1077, 5064, 8742, 647, 1869, 16, 61, 10453, 10453, 4622, 1800, 34935, 647, 926, 3357, 403, 5845, 5051, 1003, 391, 551, 9236, 926, 6643, 16, 248, 16, 477, 24946, 647, 14200, 811, 647, 31, 15302, 14, 647, 1827, 9120, 15, 6185, 16, 306, 31, 14, 647, 7260, 647, 42588, 687, 28, 38539, 248, 1827, 311, 65, 248, 40654, 15525, 3226, 39569, 10453, 35436, 1296, 647, 5868, 1196, 9236, 31, 11916, 735, 254, 9147, 14590, 88, 804, 1477, 254, 1358, 8626, 5911, 16, 16, 7888, 6643, 751, 2312, 1081, 3718, 14, 13819, 11916, 784, 926, 39569, 15, 1041, 811, 16, 1286, 15, 24982, 477, 13845, 647, 286, 18002, 39569, 872, 16, 297, 1635, 10, 7023, 10453, 9, 494, 88, 5911, 5051, 2306, 6643, 3226, 16, 2662, 391, 1003, 1262, 804, 3226, 11916, 2374, 16, 1014, 2498, 8552, 28, 11, 2678, 61, 10112, 926, 426, 39569, 5051, 324, 513, 3125, 6758, 16, 1052, 19, 1034, 65, 926, 31, 11, 11916, 647, 28, 10, 16, 65, 29842, 15, 3513, 28, 2312, 254, 16, 1586, 254, 684, 306, 16, 13819, 6767, 16, 18002, 533, 39569, 926, 14, 16, 5868, 24946, 5561, 1077, 1077, 20269, 16, 306, 2918, 65, 647, 5868, 65, 16, 779, 16, 16, 2662, 10898, 314, 16, 551, 670, 5704, 2602, 16, 5735, 684, 19940, 1003, 533, 9147, 537, 5911, 9351, 872, 10, 6643, 15525, 587, 2621, 65, 10112, 1375, 282, 65, 1052, 14, 14, 23064, 811, 2678, 926, 254, 19940, 1800, 19, 1142, 14, 16, 10, 10712, 14, 16, 306, 14590, 926, 24576, 8897, 17, 647, 16, 16, 2621, 5868, 46177, 16, 670, 16, 4897, 16094, 248, 8897, 31, 282, 709, 282, 6767, 647, 13244, 1827, 1052, 16, 329, 1076, 647, 658, 4911, 15798, 23233, 254, 1003, 649, 248, 40654, 4540, 23179, 16, 16, 1076, 2662, 65, 16, 2497, 23233, 8552, 477, 23233, 2306, 9236, 743, 6643, 1196, 804, 647, 16, 306, 16, 1477, 5114, 14, 248, 6185, 8037, 1196, 1296, 65, 580, 46587, 14, 670, 16, 10712, 65, 1003, 2602, 17373, 9644, 1827, 1213, 417, 65, 14485, 39569, 24167, 65, 29842, 13324, 39569, 494, 11916, 3226, 16, 1800, 16, 9, 5911, 14590, 926, 65, 3513, 9236, 282, 18731, 16, 6643, 65, 16, 24167, 7260, 276, 1003, 436, 16, 286, 2621, 16094, 647, 16, 5146, 14, 403, 3226, 494, 254, 15, 6895, 543, 248, 24982, 10453, 4911, 926, 16, 254, 65, 1052, 23179, 4145, 28, 6758, 494, 1052, 426, 3125, 414, 31, 903, 926, 2102, 1003, 16, 13599, 10898, 16094, 28918, 1827, 4622, 3039, 14590, 16, 926, 4852, 2706, 36062, 647, 13324, 4794, 926, 709, 8742, 11916, 4, 477, 254, 39569, 248, 647, 65, 24167, 328, 1800, 297, 9644, 5343, 19940, 16, 10337, 4145, 23179, 47225, 15302, 16, 4024, 4897, 6643, 65, 65, 65, 432, 10453, 1003, 1800, 23179, 6185, 286, 16, 1800, 1077, 18002, 426, 28, 65, 1827, 2621, 276, 2861, 5674, 26121, 647, 587, 15302, 416, 47225, 347, 306, 3226, 494, 2706, 751, 302, 261, 16, 1057, 1076, 6895, 14, 3226, 537, 5051, 477, 649, 649, 1465, 19, 543, 926, 926, 568, 5735, 11916, 39684, 1052, 494, 1827, 3357, 65, 1308, 360, 6895, 9644, 16, 11916, 28, 61, 254, 1827, 31311, 647, 647, 29842, 14590, 14, 647, 17373, 327, 13324, 537, 1477, 297, 543, 28, 735, 8897, 31, 6758, 1262, 28, 15, 28, 494, 1800, 276, 65, 15525, 3513, 65, 417, 926, 8897, 65, 1077, 1869, 29, 39569, 5114, 926, 46177, 4, 1262, 43720, 1077, 10337, 5735, 1740, 1827, 1534, 4862, 16, 417, 254, 324, 2602, 926, 647, 46177, 414, 16, 11, 248, 1465, 391, 1581, 3357, 276, 14485, 9120, 324, 647, 2621, 15302, 14, 647, 6185, 2779, 16, 24092, 40654, 568, 1800, 1358, 9147, 16, 282, 926, 5114, 14, 926, 16, 15695, 16, 603, 46587, 18731, 8552, 6767, 4862, 254, 88, 328, 39569, 3226, 452, 14, 3930, 9120, 27475, 254, 18002, 494, 3226, 297, 16, 4667, 16, 543, 735, 24946, 16, 416, 603, 647, 826, 42588, 21171, 647, 5735, 13324, 18310, 16, 4926, 65, 10, 1003, 3039, 31, 297, 297, 248, 10453, 533, 3039, 13324, 24946, 16, 10453, 282, 360, 5704, 2312, 65, 587, 3125, 11244, 2621, 19, 647, 21171, 31311, 432, 9120, 65, 926, 1296, 297, 328, 2621, 1322, 1003, 6767, 1262, 2621, 4862, 28, 14590, 543, 39569, 4, 603, 65, 5114, 5064, 1465, 743, 603, 1004, 6938, 10, 329, 254, 9644, 1003, 254, 5064, 543, 21162, 61, 248, 16069, 39569, 9644, 15, 779, 647, 1308, 16, 16, 5704, 1003, 306, 371, 543, 39569, 39569, 327, 1142, 65, 15525, 10898, 9236, 1076, 1296, 88, 14, 65, 926, 10, 1827, 24167, 533, 2498, 29842, 735, 13599, 330, 13324, 16, 647, 297, 254, 19, 10138, 418, 65, 4897, 11291, 1800, 18002, 38539, 10337, 4911, 2662, 14200, 926, 647, 2498, 649, 4622, 1748 ]

[ 1, 321, 3997, 650, 274, 7803, 311, 731, 2996, 668, 188, 942, 19068, 286, 360, 1045, 254, 369, 2142, 34288, 563, 254, 596, 6158, 5245, 457, 282, 16, 1038, 974, 1193, 555, 310, 2778, 961, 286, 3320, 2512, 360, 939, 513, 311, 286, 348, 2731, 14, 14, 286, 4333, 14, 353, 19419, 1917, 626, 14, 6158, 19068, 2292, 811, 457, 14, 1180, 16, 3144, 3116, 7385, 2430, 457, 1449, 86, 368, 248, 1026, 457, 4128, 79, 321, 975, 513, 369, 593, 14, 731, 2524, 1180, 2778, 14, 457, 327, 188, 1728, 311, 254, 961, 25288, 417, 942, 942, 4254, 254, 248, 85, 15476, 1242, 1242, 8228, 85, 977, 254, 353, 40474, 330, 79, 188, 248, 452, 2254, 254, 12895, 36270, 311, 274, 2086, 3621, 310, 452, 3364, 452, 310, 14, 1219, 311, 16, 248, 2631, 4619, 16, 16, 626, 1838, 633, 461, 254, 1091, 452, 311, 310, 33708, 626, 380, 85, 457, 86, 3979, 1964, 701, 436, 16, 961, 310, 4017, 353, 12775, 11362, 188, 254, 457, 1253, 353, 282, 16, 974, 369, 1110, 45459, 254, 1525, 4619, 254, 959, 939, 1652, 6902, 282, 16, 1015, 512, 248, 282, 282, 311, 360, 254, 3082, 561, 2148, 942, 3148, 360, 1663, 85, 1663, 282, 15840, 1336, 9282, 272, 8661, 555, 254, 14, 10113, 403, 731, 1012, 8686, 276, 2350, 1015, 15, 4980, 441, 16, 1848, 441, 1594, 1862, 282, 6231, 248, 2187, 4181, 16, 1062, 942, 9572, 248, 3487, 403, 28158, 327, 282, 889, 274, 872, 1241, 452, 311, 286, 1057, 14, 2515, 3854, 532, 1838, 729, 11362, 16, 2903, 1125, 321, 841, 457, 42444, 286, 441, 16, 8926, 2187, 1303, 286, 403, 188, 11068, 1707, 1547, 436, 254, 8290, 8290, 555, 942, 1002, 1368, 276, 286, 254, 47396, 23862, 274, 593, 596, 512, 353, 626, 939, 85, 248, 532, 452, 324, 5511, 555, 22360, 670, 274, 417, 2110, 731, 254, 1042, 3997, 3683, 1837, 85, 1594, 4128, 327, 7794, 417, 3103, 248, 5846, 311, 254, 327, 276, 3520, 33, 457, 286, 5374, 532, 811, 3477, 580, 7538, 254, 6400, 1438, 254, 14, 14, 28515, 387, 6902, 5441, 974, 16, 6321, 1649, 286, 939, 353, 7406, 587, 6395, 811, 3854, 1129, 248, 1074, 286, 1223, 961, 14, 2187, 839, 254, 14, 980, 14, 286, 368, 310, 16, 14, 785, 14, 3686, 368, 286, 436, 2433, 353, 15, 282, 3487, 3238, 188, 274, 321, 16, 311, 274, 254, 18823, 14, 12895, 580, 254, 360, 16, 282, 6158, 843, 8321, 16, 748, 14, 3444, 248, 15948, 14, 8838, 353, 353, 24174, 14, 1045, 276, 330, 555, 248, 282, 15286, 8075, 1863, 1002, 2830, 360, 2144, 9999, 670, 5245, 16, 16, 9887, 701, 731, 593, 3015, 254, 282, 915, 32864, 729, 1438, 28300, 785, 23269, 580, 353, 942, 14, 20184, 282, 282, 328, 456, 19371, 16, 942, 942, 8234, 403, 282, 510, 1181, 1269, 835, 188, 457, 19371, 16, 1141, 328, 748, 85, 5245, 16, 457, 282, 188, 1090, 321, 2560, 865, 85, 1038, 865, 1525, 86, 1110, 254, 16, 274, 387, 19419, 254, 1438, 14, 254, 14, 457, 16, 2275, 961, 307, 16, 1602, 1181, 1242, 1242, 3148, 6321, 343, 772, 1525, 324, 5077, 368, 248, 701, 86, 1652, 13471, 14, 942, 974, 19058, 15286, 254, 327, 254, 1041, 16, 1002, 2066, 3015, 8926, 14, 1491, 497, 353, 942, 2780, 587, 7052, 596, 457, 19058, 16, 593, 254, 282, 353, 14, 254, 1610, 785, 3929, 24146, 21890, 898, 900, 274, 254, 4389, 324, 457, 1845, 4357, 2365, 327, 457, 85, 248, 29407, 961, 476, 457, 254, 1223, 1860, 561, 596, 5245, 14, 286, 4684, 16, 403, 32864, 14847, 327, 513, 14, 1827, 254, 286, 1438, 12895, 643, 282, 274, 16, 85, 4536, 274, 802, 7573, 369, 2041, 282, 597, 16, 16, 317, 85, 1002, 254, 9887, 16, 16, 324, 2778, 14, 417, 2086, 6384, 274, 3148, 41414, 380, 476, 282, 380, 2489, 2956, 6437, 14, 276, 747, 14, 731, 311, 16, 251, 801, 457, 19506, 403, 254, 16, 14, 248, 6321, 16, 1002, 254, 286, 85, 380, 324, 731, 942, 476, 4719, 4950, 6321, 1547, 254, 16, 286, 321, 369, 16, 980, 772, 836, 16, 14, 701, 14, 327, 836, 596, 353, 436, 6321, 276, 2362, 9537, 2187, 310, 670, 2903, 274, 254, 368, 33, 86, 2142, 580, 2115, 85, 327, 324, 2144, 749, 353, 3144, 311, 596, 1364, 1129, 14, 327, 2778, 30045, 254, 286, 19371, 4772, 496, 457, 2956, 338, 2430, 16, 327, 16, 188, 20017, 2896, 2292, 19897, 13079, 14, 2430, 3320, 327, 9598, 16, 26, 368, 16, 12895, 14, 321, 360, 3461, 254, 16, 7767, 1223, 254, 1125, 11530, 6582, 4428, 327, 826, 85, 872, 32864, 19371, 4715, 12895, 671, 6788, 16, 1575, 1038, 1051, 274, 626, 16, 25154, 33, 1213, 282, 1268, 1499, 3997, 311, 663, 310, 3997, 324, 436, 457, 282, 2187, 328, 16, 3992, 86, 14, 14, 286, 16, 7803, 7067, 1438, 16025, 188, 830, 16, 274, 2142, 457, 2537, 310, 563, 16, 1480, 17591, 276, 282, 1330, 10910, 353, 14, 29, 286, 407, 9136, 839, 1045, 380, 2292, 5182, 4634, 254, 47725, 282, 286, 7716, 731, 348, 16, 188, 4867, 369, 1052, 1052, 327, 327, 4524, 618, 1525, 309, 2489, 16, 10056, 310, 1193, 403, 16, 248, 457, 36075, 2115, 380, 3915, 11648, 353, 3673, 254, 14, 27852, 394, 44129, 311, 286, 801, 1311, 457, 900, 282, 17934, 12775, 2470, 353, 286, 321, 889, 1012, 643, 369, 188, 1026, 327, 248, 16, 8644, 563, 14, 1460, 2367, 254, 14, 1619, 23947, 2003, 254, 3669, 3444, 4254, 980, 368, 44342, 16, 44129, 19706, 14, 1838, 26037, 251, 369, 16, 254, 974, 835, 3748, 188, 8054, 512, 286, 274, 513, 327, 14, 26037, 274, 16, 5245, 282, 1354, 403, 307, 19897, 596, 6400, 22240, 311, 286, 6707, 14, 1838, 16, 5846, 497, 324, 1057, 26935, 7602, 353, 368, 37130, 327, 731, 1232, 390, 473, 14, 4832, 324, 731, 2144, 3364, 343, 6158, 2292, 1212, 286, 865, 457, 1480, 457, 2292, 286, 368, 16, 513, 4536, 274, 2903, 3487, 417, 457, 272, 663, 254, 5023, 380, 282, 3997, 1289, 353, 14, 286, 282, 7858, 24466, 2365, 731, 282, 633, 327, 16, 353, 254, 1212, 14, 1663, 274, 1015, 729, 15411, 512, 282 ]

[ 1, 16, 1733, 254, 2151, 248, 452, 3032, 5952, 618, 3437, 369, 3095, 276, 31166, 22015, 2254, 5555, 4059, 254, 15, 479, 254, 274, 1041, 11549, 286, 7290, 457, 276, 254, 1810, 747, 282, 330, 8476, 43601, 254, 6220, 4406, 248, 13204, 286, 4801, 276, 22, 79, 19, 740, 282, 14917, 2710, 1143, 2151, 2143, 1074, 1219, 282, 286, 31774, 254, 67, 14, 269, 675, 79, 85, 369, 542, 19371, 274, 457, 2813, 27, 387, 5759, 23, 441, 85, 2379, 4800, 16, 254, 286, 1770, 16, 610, 15, 948, 6247, 254, 3928, 1096, 407, 353, 2482, 14, 353, 16, 6950, 254, 276, 561, 6333, 436, 35341, 353, 16, 254, 0, 311, 16405, 405, 7373, 1919, 671, 343, 321, 1325, 248, 276, 555, 1057, 16228, 1649, 9362, 37144, 343, 9012, 5630, 14, 313, 3080, 299, 1480, 7998, 282, 14, 18, 282, 8487, 12832, 2674, 22623, 274, 5696, 16, 479, 369, 436, 2514, 2066, 321, 188, 41177, 254, 14, 23916, 16, 254, 254, 16, 321, 7809, 1679, 403, 7650, 2254, 254, 254, 1034, 254, 274, 1232, 1683, 11864, 1431, 188, 8244, 310, 14, 995, 353, 1012, 30639, 282, 254, 89, 15112, 3419, 6297, 43, 4948, 1789, 29352, 254, 14, 5226, 7809, 457, 0, 1026, 642, 343, 1480, 14326, 254, 310, 440, 3061, 3148, 683, 16, 310, 188, 1612, 555, 276, 310, 4243, 15, 2135, 39973, 743, 368, 23900, 701, 3996, 16, 254, 457, 888, 19, 1295, 378, 695, 248, 4647, 7196, 615, 457, 2899, 3108, 254, 25, 1275, 16358, 6284, 45127, 7199, 16, 38631, 4525, 46094, 8075, 2659, 668, 11727, 9380, 618, 731, 17813, 16, 9970, 1074, 14, 2886, 14, 14, 310, 14, 407, 1091, 16, 1664, 16, 1311, 31525, 2057, 457, 9679, 1845, 4848, 79, 343, 395, 457, 4264, 5008, 16, 324, 43690, 1038, 254, 263, 16, 16, 10110, 15, 6215, 71, 14, 14, 8906, 282, 618, 4183, 286, 254, 7944, 4130, 282, 4257, 1612, 713, 1045, 315, 18, 14, 8902, 417, 2499, 6249, 1181, 311, 12678, 10504, 40163, 274, 3901, 14, 353, 21226, 6750, 15, 8057, 1015, 9329, 353, 683, 79, 33695, 9208, 276, 819, 3385, 14, 3609, 1431, 16, 6158, 17352, 16, 4536, 25, 328, 85, 841, 314, 16, 1542, 286, 14, 19, 731, 39156, 387, 248, 609, 512, 353, 254, 4221, 276, 731, 3447, 1143, 248, 457, 2422, 378, 1628, 1311, 811, 2836, 282, 3748, 3524, 248, 751, 31686, 1045, 1583, 1223, 274, 18, 2116, 2978, 14, 9703, 29041, 16, 1824, 85, 900, 5268, 12678, 29469, 15779, 254, 3859, 24245, 1339, 369, 457, 2482, 479, 825, 1153, 5270, 1096, 16, 2939, 16, 18, 1153, 6346, 327, 6388, 643, 25516, 1045, 25247, 188, 297, 254, 41227, 9119, 310, 33743, 27868, 9228, 374, 16, 27639, 282, 610, 14, 11839, 2086, 22782, 2449, 254, 2378, 440, 479, 286, 14, 618, 314, 561, 286, 18, 7438, 1288, 2688, 286, 457, 731, 43, 396, 311, 306, 374, 254, 282, 35141, 32120, 1587, 18415, 274, 23018, 16, 4654, 2421, 14, 2156, 368, 457, 13204, 6149, 286, 282, 274, 45, 4164, 1926, 1606, 457, 9948, 310, 265, 403, 313, 310, 374, 353, 9679, 327, 1091, 328, 282, 457, 353, 865, 2154, 328, 24015, 274, 1223, 14, 721, 12010, 8341, 10629, 457, 510, 545, 1583, 747, 616, 618, 4095, 1619, 3306, 593, 18, 8235, 13353, 16, 387, 87, 25, 368, 476, 16405, 311, 1234, 1926, 13220, 16090, 561, 254, 43, 14, 1045, 1268, 7162, 1845, 254, 619, 28, 1034, 32166, 8202, 37719, 14, 274, 315, 5372, 939, 5519, 4316, 47303, 1012, 19625, 310, 1055, 24479, 31672, 272, 841, 14, 21550, 2019, 16, 278, 14, 273, 3364, 457, 348, 5555, 248, 254, 276, 14, 391, 835, 354, 254, 276, 2154, 16, 324, 188, 42692, 10837, 14, 14, 1141, 310, 533, 811, 353, 2057, 327, 1275, 1931, 248, 274, 336, 14, 555, 18, 1603, 349, 85, 24245, 16, 310, 348, 286, 11, 16209, 85, 731, 731, 248, 86, 6136, 22, 85, 282, 2101, 16, 10837, 30772, 11515, 16, 596, 618, 2977, 5634, 274, 286, 274, 310, 1844, 18, 387, 254, 39286, 85, 1130, 1034, 311, 407, 1577, 14, 310, 2244, 17336, 67, 474, 14, 670, 6950, 26800, 1004, 353, 314, 2033, 3126, 532, 6240, 2897, 3486, 4948, 311, 1076, 432, 188, 615, 457, 92, 8726, 1093, 2977, 580, 22, 1499, 286, 368, 390, 33828, 616, 302, 254, 758, 403, 11231, 581, 324, 9809, 751, 282, 1668, 286, 282, 948, 14, 1842, 10837, 16, 5008, 34772, 1012, 42367, 16, 254, 272, 13289, 16427, 869, 310, 274, 2964, 2019, 2034, 5602, 14, 618, 1480, 14, 457, 2104, 1093, 312, 387, 1045, 15, 2421, 276, 374, 618, 6950, 86, 14, 86, 307, 403, 343, 9263, 327, 14898, 4319, 26800, 1205, 188, 276, 276, 8956, 457, 16, 282, 7838, 892, 46094, 16, 16, 13327, 3654, 4199, 607, 1628, 14, 10802, 188, 43, 10136, 3061, 1619, 6636, 573, 14, 11231, 16, 22623, 747, 14, 593, 1364, 618, 6681, 417, 33727, 37868, 6893, 274, 593, 85, 311, 12221, 343, 1045, 254, 890, 42063, 5816, 327, 3324, 348, 251, 368, 353, 3306, 387, 361, 3447, 276, 14, 5816, 14, 27868, 603, 555, 37746, 14, 30211, 939, 44078, 12261, 254, 17177, 811, 248, 596, 254, 328, 4771, 299, 440, 14738, 307, 3447, 5869, 43, 327, 16, 27587, 5910, 34155, 282, 2344, 2314, 12660, 18, 457, 1542, 963, 5565, 742, 1623, 15426, 282, 188, 67, 274, 457, 813, 2417, 407, 3059, 3960, 2819, 248, 254, 1837, 29, 7968, 10413, 3654, 15, 670, 751, 1480, 348, 4128, 369, 1295, 3471, 8340, 276, 4948, 616, 3396, 286, 188, 480, 1770, 274, 286, 618, 3015, 15107, 327, 276, 17703, 30766, 939, 6956, 1444, 248, 6529, 5372, 670, 479, 254, 5986, 4212, 11318, 14122, 286, 713, 79, 2421, 16, 188, 324, 254, 188, 13453, 633, 311, 16, 29557, 276, 457, 7081, 4948, 9334, 1254, 7046, 6898, 11673, 29584, 286, 19, 330, 89, 1926, 10964, 626, 14, 2358, 285, 28, 1906, 2514, 18, 14, 8352, 456, 85, 387, 610, 440, 643, 1012, 4647, 5274, 313, 390, 16, 46448, 16, 8392, 67, 254, 274, 1683, 278, 254, 2196, 1888, 387, 282, 1637, 2102, 2421, 374, 14, 91, 1408, 4448, 4083, 11980, 597, 561, 751, 274, 85, 1659, 16, 3527, 1377, 24683, 274, 311, 248, 14, 328, 37317 ]

[ 1, 2545, 254, 338, 9319, 35, 18, 188, 9130, 254, 403, 481, 4742, 314, 18, 41665, 1350, 3364, 321, 407, 668, 555, 22, 14982, 27708, 85, 772, 495, 416, 980, 286, 403, 44400, 248, 6219, 5371, 0, 14, 16, 20960, 3300, 10046, 20385, 3944, 4301, 457, 1982, 3571, 274, 3944, 2363, 2932, 1054, 607, 1280, 22679, 6115, 10046, 19, 286, 9155, 23, 1368, 7725, 931, 274, 282, 248, 18397, 19, 939, 18, 254, 18, 16, 254, 2049, 931, 16, 24, 34967, 19, 1488, 35, 16, 1336, 7526, 19, 624, 254, 368, 20422, 274, 772, 4917, 476, 41445, 10046, 16, 15, 188, 510, 423, 555, 2121, 4024, 597, 5798, 19, 248, 19, 4321, 19653, 254, 495, 248, 2932, 16, 48113, 6966, 43517, 34045, 348, 254, 35, 19, 9495, 188, 39, 3482, 34542, 22070, 8141, 324, 671, 3831, 254, 328, 476, 9130, 26808, 476, 510, 4201, 9130, 16, 248, 248, 254, 311, 286, 1051, 4109, 5256, 1637, 8453, 495, 403, 4407, 282, 16, 21, 18, 35221, 903, 2932, 476, 476, 671, 1263, 286, 510, 580, 360, 2133, 5495, 889, 274, 7624, 2802, 668, 35, 314, 713, 633, 282, 18, 14, 2121, 665, 11, 1056, 2476, 642, 254, 9568, 16, 18, 597, 440, 5798, 15, 35221, 282, 254, 5278, 14, 22, 3360, 5703, 18, 1665, 510, 6334, 2932, 2362, 13738, 1017, 248, 7692, 368, 5851, 1460, 16, 15, 11608, 34256, 432, 2779, 8444, 7688, 390, 7877, 580, 3300, 19495, 1111, 13763, 11796, 14, 2142, 11624, 4682, 27, 8141, 18, 23893, 5961, 418, 20, 3605, 17933, 7877, 274, 41445, 3605, 35, 587, 30051, 1640, 368, 3617, 5028, 2024, 188, 17115, 830, 7269, 22, 22, 327, 35, 16, 481, 1575, 38900, 188, 5934, 343, 19974, 432, 668, 46, 6484, 16, 9124, 1822, 33, 975, 20960, 41445, 276, 390, 2802, 254, 15, 41445, 41445, 4589, 3124, 7827, 457, 1525, 254, 4306, 2802, 282, 407, 286, 9495, 272, 5713, 18716, 713, 3066, 21903, 5703, 4116, 286, 41445, 6583, 286, 254, 37920, 324, 23704, 188, 34915, 188, 1464, 22202, 18, 4396, 18094, 27708, 1224, 403, 2982, 432, 4351, 368, 3571, 975, 495, 495, 2066, 1336, 2640, 4021, 671, 452, 4678, 188, 41445, 633, 432, 10743, 7923, 18, 4131, 2703, 495, 328, 12454, 35, 18, 274, 43503, 282, 432, 779, 3944, 343, 2809, 1004, 5597, 35221, 943, 18, 14, 407, 18, 13242, 4884, 3277, 4163, 495, 35221, 407, 16, 85, 1269, 41445, 19, 282, 254, 19753, 282, 314, 3175, 843, 5371, 311, 7, 443, 39185, 248, 8369, 380, 25, 16, 495, 2152, 14, 576, 9130, 374, 19, 324, 4438, 434, 2802, 5542, 276, 27708, 282, 188, 286, 510, 374, 254, 11, 19, 3605, 16, 387, 282, 13306, 19, 470, 11366, 14648, 1656, 10030, 597, 327, 5362, 16, 931, 390, 14, 756, 3801, 274, 286, 1213, 274, 248, 35, 4242, 16, 2932, 276, 21903, 19, 1280, 18, 495, 282, 286, 713, 369, 7877, 7468, 931, 14, 286, 2969, 17923, 7827, 374, 1350, 14, 3816, 5256, 22, 188, 282, 7827, 282, 510, 2932, 5495, 495, 19, 286, 5961, 29, 14, 26407, 2802, 286, 2525, 16, 4024, 7009, 4653, 274, 8979, 15, 11620, 23704, 15, 4987, 1213, 3823, 343, 188, 188, 274, 18, 4861, 13, 7877, 671, 2932, 321, 457, 254, 311, 188, 18716, 9852, 27708, 1491, 18, 274, 2802, 324, 2701, 633, 16046, 324, 4201, 3300, 276, 4021, 11608, 343, 14, 2105, 18916, 18, 16, 2932, 272, 1822, 18, 403, 19502, 18, 1283, 18716, 248, 1822, 2275, 13632, 4893, 960, 2244, 7877, 2932, 19536, 254, 1689, 311, 568, 26, 35130, 13291, 7877, 35, 274, 2809, 2932, 719, 188, 5256, 28150, 16, 457, 5256, 328, 13112, 2165, 4503, 286, 18, 4565, 1102, 15, 3300, 14502, 18, 254, 17488, 18, 889, 16, 8729, 763, 188, 311, 28413, 188, 327, 254, 18520, 18, 4024, 1285, 254, 4189, 4153, 18, 2640, 18, 17488, 188, 321, 18, 14502, 2148, 28150, 2391, 495, 633, 41445, 3231, 21887, 282, 254, 41445, 3397, 3513, 282, 6181, 2932, 7052, 9510, 2165, 276, 1359, 35, 248, 254, 286, 16, 34256, 668, 5255, 495, 13037, 19974, 2932, 2932, 254, 13306, 188, 8429, 903, 41445, 633, 34045, 476, 383, 802, 495, 3709, 16, 14, 10088, 188, 16, 28383, 9940, 188, 15067, 35, 3129, 28383, 321, 14502, 16325, 9495, 188, 46677, 825, 587, 2932, 35, 23, 3476, 11404, 3577, 338, 1755, 282, 37338, 4021, 6319, 18, 18716, 495, 35, 17740, 18, 18, 7877, 8979, 19, 254, 369, 282, 314, 903, 380, 476, 4678, 272, 16, 3300, 286, 18, 1615, 16, 254, 8309, 254, 16, 39207, 286, 668, 8441, 533, 14, 8245, 4678, 16, 390, 254, 3476, 1263, 2121, 16, 188, 1656, 4822, 321, 468, 254, 18716, 5509, 495, 510, 2470, 85, 311, 282, 254, 310, 3754, 5251, 3269, 23653, 19001, 9740, 20056, 510, 695, 19, 8118, 5925, 476, 641, 1525, 18, 248, 274, 943, 2932, 3577, 5371, 802, 9502, 324, 380, 36395, 321, 286, 2809, 890, 5152, 1091, 13733, 2932, 13005, 248, 403, 310, 11458, 476, 41445, 3300, 24794, 4351, 10949, 327, 4400, 338, 16, 931, 2982, 274, 188, 2121, 3468, 331, 16, 16, 18, 41445, 368, 42125, 903, 2042, 254, 286, 41445, 2121, 14, 1339, 18, 7952, 7877, 18, 8648, 19, 248, 40, 254, 18, 32377, 7997, 18, 14982, 432, 2104, 17740, 4513, 22, 10030, 931, 274, 16468, 6752, 1034, 19, 7468, 18, 35, 22070, 3151, 188, 4513, 9307, 14502, 903, 19, 390, 2969, 553, 338, 971, 1868, 10218, 7877, 188, 254, 14, 23538, 374, 1359, 2703, 2244, 286, 848, 4934, 18, 254, 16, 21511, 319, 18716, 18, 254, 4573, 328, 18, 11758, 35, 41445, 15, 254, 3360, 321, 16985, 254, 5371, 311, 476, 374, 597, 273, 513, 7827, 390, 338, 633, 5351, 282, 4987, 390, 19, 580, 17923, 321, 774, 16, 282, 324, 21903, 16, 286, 561, 476, 7827, 7877, 2363, 5694, 1224, 16, 4975, 751, 276, 9606, 1213, 42254, 1922, 11796, 15, 5982, 1464, 3397, 1017, 282, 20960, 495, 15, 7827, 7909, 282, 41660, 2257, 360, 3481, 21, 15, 17, 495, 282, 321, 8304, 580, 3468, 17740, 41445, 5397, 7952, 9245, 5798, 18, 254, 18, 2055, 1868, 34256, 931, 324, 1615, 552, 495, 276, 16, 254, 4242, 35, 276, 5287, 286, 254, 5371, 977, 85, 5937, 19753, 1637, 900, 5781, 476, 2809, 22, 19, 16 ]

[ 1, 276, 21173, 1569, 40452, 14499, 276, 11967, 282, 46, 3925, 360, 3, 2035, 368, 14, 457, 286, 11067, 597, 2517, 387, 9148, 1042, 2605, 19, 188, 596, 1444, 636, 360, 11826, 520, 353, 3144, 9148, 16, 14427, 2424, 452, 282, 37456, 16165, 2003, 7793, 9148, 85, 6596, 596, 39849, 836, 479, 2703, 2150, 254, 4212, 2602, 2514, 5776, 2099, 1444, 512, 9796, 13891, 513, 1091, 188, 1612, 254, 27, 1822, 7748, 286, 247, 348, 348, 22459, 272, 282, 772, 254, 3106, 9686, 1594, 16, 2683, 274, 1129, 2964, 310, 3294, 643, 23947, 4692, 188, 29748, 370, 1707, 14811, 27197, 248, 11376, 286, 314, 18, 1360, 384, 274, 348, 286, 16, 16, 4095, 248, 254, 18, 188, 22748, 19, 645, 9796, 704, 6667, 1110, 14811, 254, 44, 16403, 334, 188, 343, 343, 16, 9148, 3247, 77, 1450, 254, 318, 21173, 12476, 597, 28200, 2150, 368, 294, 282, 18, 561, 286, 282, 14, 673, 5049, 248, 1579, 4025, 4692, 3136, 36480, 282, 2994, 1612, 27, 34022, 282, 9109, 9796, 1842, 272, 369, 306, 5910, 457, 52, 360, 16, 248, 254, 251, 248, 254, 959, 16, 16, 671, 16, 311, 11115, 14168, 1577, 360, 5976, 248, 5097, 254, 14, 561, 1577, 21055, 16, 16165, 7748, 2496, 2803, 980, 1051, 758, 46, 417, 6376, 286, 1286, 495, 1315, 14932, 34038, 321, 2304, 306, 370, 254, 27, 1026, 832, 35507, 311, 471, 254, 9796, 510, 2536, 624, 1919, 40648, 276, 286, 15, 432, 353, 4762, 25225, 13852, 10838, 670, 4452, 360, 13964, 387, 85, 37331, 16, 22459, 457, 14, 254, 16, 5359, 1444, 2602, 18, 274, 85, 14811, 997, 658, 310, 959, 1091, 25979, 513, 282, 16, 839, 14, 282, 587, 5976, 188, 11376, 254, 5976, 16, 1868, 276, 282, 374, 1362, 276, 274, 8575, 251, 14, 31085, 18, 1093, 369, 23, 1390, 327, 826, 2075, 274, 254, 248, 13537, 1643, 423, 254, 510, 23, 2543, 37073, 687, 17, 254, 1822, 3247, 274, 254, 615, 254, 16, 2028, 327, 286, 310, 11, 254, 403, 16, 3184, 16784, 321, 1125, 4612, 6400, 272, 18, 1041, 274, 16, 1480, 254, 248, 826, 1822, 248, 376, 286, 24951, 7119, 2263, 2189, 374, 16, 510, 1887, 380, 2546, 3136, 14260, 532, 30086, 28200, 188, 3567, 14, 1544, 188, 286, 254, 16, 30752, 254, 1860, 1845, 561, 6571, 274, 28466, 665, 23545, 3324, 14, 7362, 4692, 254, 1026, 306, 360, 2347, 254, 27888, 338, 338, 683, 2318, 328, 910, 7748, 379, 1628, 939, 403, 254, 977, 758, 14, 331, 306, 324, 7420, 23, 9023, 348, 254, 248, 16, 286, 1629, 1311, 22459, 314, 11358, 17378, 21283, 555, 2485, 7824, 7585, 18, 188, 286, 21096, 2104, 1961, 286, 1890, 14, 22459, 254, 495, 188, 45774, 633, 4408, 6115, 1577, 11, 286, 248, 368, 254, 1887, 39574, 274, 286, 43729, 380, 314, 666, 14811, 188, 18243, 7118, 16, 1205, 688, 1091, 9148, 12941, 1997, 254, 22459, 314, 254, 532, 4236, 254, 21173, 624, 35292, 248, 772, 15497, 27152, 13537, 16, 537, 16958, 21055, 1652, 15, 2156, 28200, 338, 31488, 353, 14195, 457, 14, 254, 77, 282, 1143, 348, 1793, 687, 282, 14278, 188, 353, 7254, 432, 14427, 360, 23, 3681, 268, 1041, 11376, 22, 2298, 10890, 1838, 16, 8702, 452, 327, 188, 560, 1157, 5690, 3479, 276, 254, 18, 328, 44, 586, 29748, 32511, 11376, 47135, 3409, 282, 2328, 473, 16, 276, 615, 188, 254, 9148, 188, 432, 85, 16, 618, 473, 18, 772, 593, 4977, 2104, 3, 369, 457, 18, 2072, 510, 22459, 26254, 4325, 713, 5653, 510, 1569, 436, 343, 2115, 254, 561, 374, 254, 294, 254, 573, 286, 18, 14, 276, 1157, 560, 188, 276, 273, 1499, 4315, 832, 16, 417, 295, 324, 15, 1860, 25225, 23430, 18, 248, 16, 457, 254, 282, 476, 2069, 338, 360, 769, 3834, 286, 282, 3126, 276, 1362, 369, 10687, 16, 254, 274, 43317, 16, 286, 3402, 5910, 1129, 25268, 314, 37073, 10676, 276, 16, 21, 688, 16011, 668, 282, 14, 39574, 416, 8364, 14, 11, 47292, 3297, 433, 3136, 3277, 328, 311, 2602, 9148, 597, 1491, 286, 39423, 276, 310, 369, 14, 47958, 553, 274, 282, 2008, 254, 338, 254, 888, 24, 15, 188, 282, 4325, 24, 36490, 188, 1583, 4680, 338, 1579, 2193, 369, 14, 16, 11376, 28200, 643, 254, 343, 31488, 39657, 37085, 188, 11409, 915, 12941, 370, 69, 563, 436, 1664, 481, 7207, 5288, 2603, 12506, 286, 282, 9148, 8852, 374, 327, 751, 248, 368, 19, 15497, 18, 23631, 23, 1438, 18, 3622, 2055, 28, 963, 311, 560, 248, 3, 188, 368, 688, 46, 18, 248, 2158, 286, 600, 403, 2349, 35053, 1499, 33, 274, 4369, 561, 11, 5439, 18, 774, 2731, 532, 254, 4168, 5379, 3960, 4576, 624, 282, 254, 368, 274, 43, 561, 612, 30086, 1143, 353, 4762, 23, 16, 452, 14, 29748, 274, 1544, 481, 254, 2943, 6950, 14, 311, 369, 16753, 254, 33090, 348, 9415, 14811, 687, 254, 254, 4257, 9148, 30086, 2034, 16, 294, 37372, 619, 671, 374, 2770, 1473, 1708, 360, 1652, 888, 5976, 1045, 248, 607, 615, 324, 3067, 13053, 29748, 1612, 19932, 473, 188, 532, 14195, 282, 254, 328, 14, 16, 520, 22793, 37073, 353, 1612, 188, 282, 14, 457, 254, 314, 254, 2485, 11, 473, 6754, 188, 353, 328, 19, 369, 1874, 360, 13325, 15, 2770, 28200, 432, 2605, 12796, 39849, 18789, 5053, 597, 248, 254, 16, 423, 387, 1269, 9796, 3, 1247, 2876, 327, 473, 29907, 328, 687, 909, 248, 16, 3480, 188, 2956, 826, 671, 1822, 314, 353, 13442, 8534, 2824, 855, 306, 188, 306, 324, 12432, 560, 597, 18, 573, 436, 9148, 328, 12814, 1515, 18064, 286, 4525, 5194, 1026, 248, 452, 4369, 348, 14, 353, 27680, 6248, 532, 14811, 9148, 387, 370, 16, 670, 14427, 4986, 1270, 348, 369, 25225, 16454, 512, 643, 3479, 15425, 1961, 2433, 1815, 869, 334, 353, 15673, 1074, 16, 0, 16, 1017, 282, 7823, 436, 597, 1873, 35834, 1961, 1290, 276, 3, 254, 16, 306, 6893, 360, 1141, 295, 248, 25, 274, 35, 27680, 14, 671, 1612, 23, 274, 772, 16, 387, 22, 596, 369, 769, 282, 561, 1193, 2059, 9711, 666, 3982, 23, 286, 452, 1503, 276, 276, 532, 286, 4212, 52, 248, 390, 645, 6690, 16, 1579, 5864, 11489, 24247, 18, 5927 ]

[ 1, 16175, 555, 7023, 274, 16, 19259, 843, 977, 21441, 43, 620, 21, 338, 14632, 1395, 282, 2476, 25, 12441, 258, 2079, 16, 3412, 276, 2023, 35884, 1755, 23755, 188, 387, 19, 286, 374, 11396, 343, 254, 2490, 2476, 3789, 620, 14, 18, 274, 1738, 366, 328, 274, 40633, 274, 1585, 311, 1247, 2035, 512, 3506, 14, 5553, 1499, 20983, 2476, 5370, 2144, 2490, 16, 624, 2476, 248, 248, 16, 889, 439, 26471, 2653, 44084, 374, 7190, 248, 272, 620, 5390, 14, 274, 338, 16, 15, 11107, 14, 3184, 476, 5715, 1586, 23, 248, 9711, 14, 369, 1585, 701, 18, 23134, 12618, 286, 254, 324, 2071, 33603, 432, 14192, 338, 3, 5565, 254, 11356, 510, 43272, 580, 669, 997, 3783, 254, 343, 1726, 254, 15, 286, 1708, 16, 20, 20790, 24, 14198, 314, 1571, 374, 368, 343, 38, 324, 5833, 16, 18, 14, 1395, 1585, 16, 22088, 2743, 16, 8010, 533, 900, 374, 248, 7094, 332, 2430, 380, 4544, 39624, 2129, 13019, 286, 266, 11055, 15883, 9211, 26471, 14, 328, 555, 2653, 353, 3684, 615, 16, 327, 633, 6942, 9286, 27, 0, 248, 276, 12389, 343, 20983, 1223, 5431, 515, 20790, 4401, 11593, 380, 254, 403, 963, 2244, 1480, 17457, 282, 1985, 7760, 16, 311, 5184, 584, 276, 22443, 369, 14, 483, 254, 5194, 328, 19, 12617, 1055, 14, 274, 274, 37220, 3524, 248, 8132, 17353, 254, 15, 327, 11, 14291, 2306, 1062, 276, 251, 1441, 311, 14, 280, 9339, 327, 497, 282, 286, 29688, 3430, 26471, 4619, 403, 512, 6151, 374, 5444, 274, 16, 4861, 561, 327, 18, 20983, 23, 35517, 19519, 282, 276, 2103, 11527, 280, 14, 18, 274, 16, 254, 2476, 3616, 338, 1241, 353, 53, 254, 19, 2362, 16, 14, 41, 432, 26471, 16741, 4578, 26, 14794, 3066, 16, 596, 33603, 254, 1062, 2135, 16714, 47457, 274, 282, 2787, 18, 1709, 286, 4421, 19, 12224, 16, 11340, 286, 16637, 2207, 327, 254, 43, 2743, 390, 1212, 1491, 27724, 327, 749, 254, 19, 641, 282, 2300, 4440, 314, 2504, 276, 286, 276, 330, 1368, 387, 25, 1157, 248, 756, 3437, 417, 9300, 47618, 42272, 10638, 580, 2740, 338, 276, 457, 14, 2430, 14, 688, 11106, 353, 529, 254, 386, 4799, 35484, 3690, 91, 758, 2432, 394, 9606, 254, 374, 19, 2520, 188, 9646, 6928, 44084, 10594, 254, 3412, 2300, 16, 8132, 18, 274, 597, 14, 7919, 44084, 248, 274, 19, 5194, 16, 5225, 18, 343, 17538, 3989, 786, 374, 324, 584, 188, 476, 35, 9024, 18, 2114, 374, 36395, 16, 8132, 615, 742, 10605, 432, 29021, 843, 2258, 75, 13050, 390, 254, 432, 776, 254, 9077, 2041, 28541, 9776, 7705, 16, 14, 293, 19474, 1756, 374, 25, 5060, 33603, 7926, 5605, 14, 34127, 802, 274, 2660, 5511, 1544, 16, 6092, 452, 338, 7513, 254, 26, 17058, 641, 343, 1364, 39624, 24, 0, 368, 24, 40728, 12981, 6702, 476, 293, 248, 27, 573, 16, 436, 12168, 274, 374, 25556, 274, 24955, 14, 1849, 4107, 4412, 4704, 286, 2066, 282, 2672, 26, 2843, 3778, 2477, 15, 756, 8010, 6979, 695, 387, 35, 14696, 324, 2743, 1408, 14, 75, 276, 641, 561, 452, 282, 3225, 5095, 24924, 2704, 6217, 20983, 46451, 276, 188, 452, 16, 494, 22754, 282, 276, 276, 3901, 14, 695, 43, 2016, 265, 457, 16, 974, 327, 311, 21794, 7470, 324, 529, 1708, 27935, 16, 1590, 276, 10216, 40, 254, 23128, 3936, 590, 432, 21999, 14, 9490, 24234, 573, 14, 14, 293, 352, 3706, 23, 328, 13962, 532, 16, 671, 4619, 8669, 14, 1656, 603, 286, 16, 293, 432, 254, 188, 7843, 254, 682, 2838, 20, 324, 18, 5189, 85, 369, 596, 16, 16, 1408, 481, 16, 28556, 380, 254, 254, 276, 9988, 3778, 695, 687, 1157, 2490, 418, 328, 19285, 374, 889, 819, 3906, 276, 39624, 1280, 25, 665, 9211, 1708, 5261, 607, 2518, 14, 1193, 2490, 85, 3458, 945, 2269, 266, 16, 254, 19, 2023, 16, 997, 2476, 5261, 18, 21, 5690, 12742, 276, 286, 417, 18, 12940, 29045, 14, 26538, 387, 2586, 2499, 254, 311, 21233, 18, 338, 12742, 4658, 3312, 282, 889, 7449, 596, 188, 403, 9733, 387, 807, 270, 311, 282, 3970, 254, 19, 274, 19, 1874, 5194, 17979, 27, 452, 624, 26471, 2474, 16, 18, 2996, 16, 9779, 6612, 248, 374, 29082, 3869, 5384, 6689, 1694, 286, 14, 11, 374, 338, 254, 1481, 31887, 276, 15, 801, 1756, 448, 18, 3706, 495, 1013, 26471, 286, 27, 931, 276, 1330, 2815, 1738, 16, 615, 17058, 348, 16, 254, 4565, 254, 2314, 939, 942, 14, 53, 30024, 432, 17, 16, 33603, 620, 353, 188, 14, 432, 276, 2110, 555, 369, 314, 14, 16, 47277, 1738, 6640, 14, 276, 31403, 327, 20, 16, 374, 14, 18, 327, 18, 274, 255, 276, 2490, 43603, 274, 22, 8668, 3425, 2672, 188, 510, 580, 42349, 14, 282, 2287, 31582, 188, 1268, 13962, 403, 25, 387, 374, 39624, 19, 4902, 533, 368, 37220, 3206, 4434, 2476, 15141, 14, 254, 15171, 276, 1887, 2963, 11042, 532, 4297, 374, 731, 26082, 368, 23134, 403, 7125, 248, 5215, 4647, 1213, 2476, 890, 851, 1667, 7242, 286, 327, 671, 274, 802, 0, 348, 495, 532, 4644, 18, 457, 1017, 16, 2518, 5958, 8669, 286, 9077, 72, 590, 276, 19, 34391, 4351, 26471, 188, 16, 1090, 282, 1280, 276, 331, 13494, 16, 1238, 683, 188, 14, 561, 14, 18, 23, 4228, 2474, 38169, 328, 380, 671, 495, 476, 946, 1928, 16104, 251, 276, 8886, 2743, 669, 286, 1090, 274, 615, 1516, 6025, 254, 5690, 626, 2476, 85, 403, 14, 18, 683, 1873, 6287, 8219, 19519, 248, 512, 19083, 8535, 276, 769, 18, 248, 86, 254, 16, 390, 75, 13962, 16637, 19, 2607, 343, 615, 457, 293, 16, 1885, 30241, 37776, 35660, 4175, 248, 1547, 11401, 4707, 374, 188, 669, 457, 889, 6175, 254, 18, 32610, 328, 369, 14065, 19, 889, 1106, 5926, 590, 17353, 432, 324, 15, 19, 12374, 11309, 374, 529, 2536, 14, 3575, 729, 16, 248, 18, 274, 327, 19, 254, 432, 14, 276, 6928, 796, 286, 286, 4351, 7760, 5215, 1074, 369, 17457, 826, 0, 398, 13962, 20790, 27, 626, 14, 380, 248, 188, 53, 286, 24, 26471, 7001, 642, 24, 15, 311, 2476, 15164, 252, 21, 3449, 597, 9259, 254, 16559, 15, 21999 ]

[ 1, 16, 587, 4972, 324, 73, 282, 731, 321, 324, 4731, 1635, 688, 1045, 14, 616, 4512, 5861, 13273, 353, 330, 403, 519, 8697, 1142, 310, 417, 7922, 4932, 2209, 274, 403, 282, 276, 848, 15057, 417, 286, 360, 624, 10406, 1477, 24647, 311, 2378, 9515, 417, 15536, 387, 5041, 1305, 417, 14, 254, 3059, 390, 403, 1663, 3653, 1920, 747, 6921, 18, 282, 865, 311, 311, 16, 6101, 30431, 274, 282, 618, 9659, 16009, 1503, 310, 3477, 310, 6101, 6101, 2957, 9786, 282, 596, 476, 282, 254, 3972, 2948, 16, 266, 254, 19, 32039, 368, 3653, 17656, 1930, 715, 663, 327, 772, 324, 479, 3265, 1041, 1901, 1480, 4452, 6112, 1143, 561, 276, 2210, 16, 6101, 561, 3070, 8558, 1129, 343, 255, 254, 2371, 324, 436, 274, 324, 14, 772, 248, 188, 587, 45621, 311, 995, 3611, 1041, 35300, 513, 23810, 16, 14, 1767, 6112, 345, 16, 2476, 5594, 274, 2218, 663, 40934, 615, 2102, 747, 403, 282, 327, 310, 16, 390, 28747, 7743, 942, 2371, 14, 282, 79, 417, 310, 16955, 265, 1141, 663, 1928, 25688, 348, 665, 713, 24030, 45459, 4497, 4377, 852, 663, 16, 417, 327, 9407, 282, 512, 321, 1285, 4452, 713, 16, 6101, 16, 513, 14, 3059, 327, 625, 2328, 327, 282, 587, 311, 665, 327, 1143, 188, 188, 10560, 615, 16, 763, 286, 14, 555, 3792, 286, 282, 16, 5431, 4564, 23678, 1515, 370, 321, 254, 3409, 327, 403, 15057, 327, 12193, 327, 254, 274, 3653, 2672, 2014, 403, 30432, 403, 282, 310, 3435, 587, 1385, 254, 3452, 248, 1045, 286, 16, 248, 9889, 21250, 407, 254, 731, 282, 16, 36937, 5522, 16, 440, 2371, 7180, 23, 343, 9887, 282, 6112, 434, 16, 4869, 663, 324, 14, 380, 1141, 380, 633, 452, 324, 254, 5294, 403, 10275, 282, 663, 248, 248, 365, 1125, 7180, 4932, 328, 254, 9104, 367, 2016, 1141, 3772, 286, 310, 14, 772, 1305, 843, 997, 18, 254, 4842, 282, 1181, 2362, 596, 2008, 6508, 390, 53, 848, 4715, 274, 286, 1480, 6576, 274, 18, 1385, 596, 1923, 603, 7183, 31536, 555, 811, 942, 254, 9407, 311, 311, 6834, 626, 529, 286, 23, 555, 476, 4842, 8285, 16, 7036, 395, 21493, 41777, 248, 2371, 1374, 9786, 36677, 403, 380, 286, 188, 276, 6617, 2094, 16, 9515, 1322, 7468, 16, 5332, 47599, 452, 10203, 1354, 16, 378, 6837, 39410, 11564, 43, 1157, 4264, 1502, 254, 33, 16409, 1055, 665, 772, 327, 5703, 587, 17656, 688, 603, 555, 4092, 4699, 555, 615, 248, 811, 1141, 10068, 16, 254, 16, 701, 45389, 633, 587, 1061, 16, 298, 324, 1081, 16, 2101, 532, 1129, 479, 254, 254, 4179, 2490, 16, 254, 15, 254, 4688, 5132, 5495, 345, 10268, 417, 417, 663, 2899, 5758, 532, 282, 327, 1574, 7573, 8075, 452, 10243, 2035, 282, 327, 16, 27862, 1640, 327, 18, 21344, 22826, 417, 1438, 282, 5053, 663, 2041, 328, 8183, 390, 555, 5441, 436, 16, 961, 3453, 1945, 25883, 327, 1862, 942, 16, 368, 1269, 751, 1802, 4203, 2731, 417, 2626, 310, 8558, 4126, 368, 254, 16, 13418, 254, 1919, 6101, 618, 46443, 1040, 353, 16, 1143, 2462, 10794, 254, 942, 785, 8558, 403, 1755, 9887, 37297, 3509, 452, 282, 1469, 282, 14, 8256, 580, 6921, 486, 2003, 5441, 16049, 7970, 10560, 830, 1090, 368, 1745, 772, 286, 274, 3059, 403, 17331, 9407, 23798, 286, 282, 16, 2909, 310, 1972, 2807, 16, 353, 1305, 286, 8558, 28667, 21250, 2187, 8809, 633, 436, 410, 4618, 6834, 254, 20121, 1081, 254, 10869, 942, 616, 1068, 1045, 8684, 663, 4452, 254, 353, 276, 5294, 8306, 16151, 3852, 615, 2008, 5132, 4363, 1547, 311, 254, 731, 432, 286, 311, 633, 254, 1405, 1250, 286, 282, 1193, 2367, 328, 2701, 1045, 3089, 274, 1574, 4221, 701, 282, 310, 24737, 1919, 45621, 16, 10560, 9786, 1726, 16, 274, 7617, 2156, 486, 274, 13273, 282, 16, 2545, 6101, 1042, 5594, 580, 338, 327, 9407, 16, 286, 348, 8738, 16, 1354, 715, 282, 2156, 286, 2504, 751, 5441, 4532, 282, 561, 688, 16, 949, 479, 2710, 942, 529, 282, 276, 17331, 411, 324, 836, 254, 1837, 327, 4343, 32436, 616, 321, 5490, 663, 2041, 10275, 1767, 328, 512, 1503, 7681, 751, 513, 2504, 274, 1026, 2367, 956, 274, 701, 802, 785, 1045, 43, 436, 324, 14, 345, 10203, 26016, 403, 345, 16, 282, 32884, 512, 10540, 751, 10390, 5065, 9676, 30081, 1093, 16, 5441, 327, 14, 14, 513, 942, 14, 394, 353, 16, 16049, 1205, 615, 747, 286, 747, 942, 411, 2035, 3510, 997, 14710, 432, 872, 5638, 276, 41777, 513, 942, 1469, 11168, 5565, 16, 1515, 14, 248, 1469, 35740, 254, 403, 252, 36681, 17709, 1141, 1322, 254, 254, 324, 25, 16, 494, 353, 16, 3792, 16, 274, 1309, 282, 276, 3653, 276, 731, 311, 615, 17719, 16, 7617, 1547, 434, 282, 30851, 286, 328, 3653, 407, 311, 942, 20961, 476, 1915, 37045, 1038, 282, 370, 1708, 10099, 311, 327, 5703, 1247, 751, 532, 248, 3676, 15108, 626, 11, 14, 1041, 248, 354, 4254, 1247, 43, 1017, 403, 10540, 14548, 688, 5441, 2019, 5745, 14, 626, 310, 5638, 417, 2692, 3653, 1469, 343, 16, 17656, 4869, 14, 30830, 16049, 1141, 30152, 18353, 9515, 452, 254, 248, 4842, 3453, 2391, 188, 2504, 1037, 701, 274, 587, 45621, 452, 2584, 2033, 248, 282, 254, 4403, 1334, 286, 974, 42, 311, 282, 6499, 16, 188, 942, 561, 286, 327, 5638, 4363, 8558, 643, 2504, 701, 1491, 1594, 310, 751, 286, 324, 7007, 27799, 274, 18823, 282, 642, 3889, 282, 843, 1405, 286, 4374, 5441, 343, 2765, 16, 353, 900, 785, 6207, 909, 16, 254, 16, 4403, 625, 8256, 23641, 587, 751, 596, 942, 5435, 53, 6101, 274, 16, 343, 513, 24797, 403, 328, 1993, 436, 286, 594, 11168, 324, 324, 452, 332, 16, 6101, 2154, 282, 665, 1583, 835, 729, 3972, 669, 1286, 452, 380, 2367, 248, 16, 2141, 282, 1663, 6508, 942, 729, 3840, 17656, 8093, 2391, 14, 626, 1469, 6551, 1469, 3089, 12852, 1038, 286, 417, 368, 479, 248, 643, 254, 663, 248, 403, 16, 3829, 311, 5441, 282, 314, 1469, 1469, 10275, 327, 14, 22969, 11054, 254, 5299, 2292, 417, 348, 282, 1286, 286, 670, 1041, 6101, 394, 3324, 311, 265, 34583, 4251, 596, 286, 593 ]

[ 1, 22616, 16, 16, 843, 683, 12322, 2034, 1726, 25104, 8209, 286, 282, 633, 14, 282, 6722, 254, 436, 30173, 282, 2531, 5181, 254, 2531, 353, 16472, 254, 1253, 2298, 286, 476, 1125, 343, 324, 1034, 274, 286, 1040, 615, 24100, 37078, 274, 188, 14, 12747, 254, 1845, 731, 21945, 3664, 12708, 3856, 1044, 11, 595, 16, 4765, 30980, 15376, 12022, 457, 188, 16, 618, 16472, 403, 15, 15, 2292, 310, 254, 1040, 663, 2875, 1623, 250, 15, 19058, 2065, 276, 1962, 19058, 2675, 597, 763, 398, 16472, 188, 1038, 9579, 328, 248, 353, 310, 3818, 15935, 476, 15840, 21, 19058, 274, 14, 2706, 11776, 5742, 2531, 2034, 15, 666, 3844, 496, 3432, 1247, 30173, 21594, 457, 348, 1962, 24015, 353, 1619, 403, 1002, 188, 688, 1452, 274, 282, 1193, 343, 248, 2115, 327, 311, 12579, 12101, 457, 16, 4816, 16, 763, 20430, 15935, 533, 25546, 7725, 327, 609, 3856, 16, 248, 3144, 16, 14, 5256, 403, 1081, 12592, 663, 274, 8069, 2675, 573, 254, 457, 254, 14, 272, 596, 286, 2292, 15799, 2456, 286, 6001, 1985, 12557, 4565, 4868, 16, 587, 353, 7151, 282, 14, 274, 8811, 254, 394, 942, 272, 457, 282, 683, 695, 282, 343, 1596, 254, 740, 6001, 12592, 4678, 343, 9198, 1141, 46365, 324, 5827, 898, 248, 643, 1842, 12322, 16, 14472, 28959, 254, 188, 3340, 14, 86, 561, 254, 11586, 311, 1260, 16, 1044, 16, 311, 2531, 944, 7151, 353, 254, 624, 248, 5757, 368, 1061, 276, 28300, 633, 7151, 286, 17130, 830, 16855, 2255, 34382, 7151, 14493, 1855, 2107, 6183, 385, 8367, 510, 2710, 15, 13303, 1547, 31, 12219, 6806, 343, 282, 85, 963, 3054, 1848, 328, 403, 633, 3373, 328, 30173, 2531, 16472, 282, 11980, 2330, 1354, 324, 5234, 188, 3395, 85, 12138, 14, 666, 394, 286, 6001, 274, 28569, 593, 1311, 286, 3752, 25102, 4972, 4419, 16, 15, 1748, 12592, 282, 286, 25244, 19, 2490, 188, 1253, 532, 2210, 311, 328, 19058, 2450, 4475, 4475, 3564, 18711, 12592, 42167, 390, 2123, 1026, 1862, 394, 2210, 248, 14, 12022, 7011, 348, 248, 747, 12022, 1034, 473, 826, 390, 31187, 16, 14, 282, 2533, 2531, 1794, 274, 19785, 282, 1564, 643, 17115, 353, 311, 254, 368, 8611, 633, 961, 282, 16472, 512, 380, 16926, 2367, 11219, 5722, 19058, 254, 8093, 590, 37, 8497, 324, 14, 24204, 254, 2843, 5630, 597, 311, 436, 327, 555, 86, 1091, 13368, 25965, 1612, 11, 1004, 2778, 14171, 266, 47816, 476, 688, 286, 1665, 254, 2531, 343, 274, 457, 248, 188, 324, 748, 248, 286, 14, 1040, 2432, 14, 3664, 310, 811, 670, 39974, 963, 633, 8270, 2328, 16, 2427, 2531, 3265, 8444, 642, 532, 353, 311, 14, 248, 188, 248, 3506, 12708, 85, 4568, 3831, 633, 33, 248, 398, 22, 274, 19058, 2531, 3487, 668, 3258, 2427, 457, 747, 452, 740, 17115, 763, 274, 457, 763, 248, 248, 282, 2706, 1862, 29407, 14, 668, 3316, 807, 1002, 1432, 615, 31187, 188, 19058, 348, 2759, 343, 2069, 17686, 1061, 188, 47816, 188, 36, 19058, 1364, 2960, 368, 457, 327, 23755, 188, 321, 254, 687, 1364, 772, 769, 3805, 254, 254, 6817, 274, 1637, 274, 5247, 1232, 555, 86, 407, 324, 2531, 286, 311, 2730, 6722, 1874, 807, 13123, 4344, 1470, 7177, 1336, 1432, 248, 633, 688, 390, 82, 327, 2710, 11352, 1242, 5711, 311, 436, 3669, 276, 14, 1119, 19058, 1996, 188, 7856, 274, 18209, 3989, 286, 188, 13417, 324, 43913, 368, 2490, 961, 432, 85, 254, 19058, 42485, 4105, 19058, 8858, 36319, 14, 16, 5299, 398, 3509, 615, 6001, 2710, 650, 282, 3912, 274, 18034, 807, 276, 33323, 248, 2531, 2996, 274, 16, 188, 933, 14, 1253, 807, 254, 254, 2069, 327, 14, 394, 254, 274, 3888, 14, 2978, 3976, 1141, 1480, 16, 286, 9198, 12592, 248, 1996, 368, 2531, 286, 2531, 14, 282, 624, 1119, 1141, 740, 85, 1091, 843, 3690, 12592, 33, 47816, 668, 327, 10466, 343, 7410, 4093, 188, 254, 5628, 7151, 85, 14, 14, 394, 1865, 248, 398, 19626, 86, 1076, 12167, 85, 2531, 67, 7589, 633, 274, 5983, 314, 254, 9198, 17906, 368, 310, 16, 19058, 432, 3809, 13, 248, 774, 282, 14, 274, 436, 2338, 1826, 624, 1286, 286, 747, 2025, 669, 19058, 43, 85, 670, 731, 1580, 254, 963, 274, 35, 9579, 0, 5514, 274, 343, 4997, 286, 274, 1368, 16, 32864, 1091, 2414, 1040, 15, 28922, 3360, 276, 20763, 3395, 20699, 5958, 889, 2531, 37078, 869, 4373, 898, 368, 9439, 188, 457, 30173, 2035, 457, 10808, 11805, 1068, 282, 3170, 2237, 4282, 16, 2542, 502, 22, 343, 274, 33965, 16967, 21183, 16, 1479, 254, 2432, 597, 2531, 282, 496, 18034, 348, 12592, 1193, 2710, 19058, 2035, 763, 286, 769, 16, 1707, 1129, 3536, 16, 16, 563, 479, 16, 19058, 2035, 3108, 436, 16, 282, 14, 4865, 9292, 5256, 3082, 33, 31714, 15, 25102, 188, 15, 5363, 476, 282, 282, 254, 321, 457, 1433, 1516, 2169, 7151, 933, 2003, 3360, 12332, 2531, 282, 274, 16, 22138, 16, 452, 561, 282, 2104, 15929, 19058, 5628, 932, 33, 1525, 35939, 1837, 2148, 85, 15, 1479, 16, 633, 2241, 6183, 85, 5827, 1840, 254, 16, 15, 4733, 403, 13368, 282, 248, 1015, 16633, 282, 10228, 16, 3360, 15, 327, 310, 407, 16, 188, 343, 533, 265, 282, 457, 4480, 274, 248, 23796, 324, 1493, 2153, 7427, 436, 254, 2477, 4590, 2531, 35221, 4848, 338, 3360, 2563, 25965, 20, 25102, 1392, 15921, 276, 276, 2531, 39974, 16472, 3956, 16, 670, 807, 2531, 14, 912, 16, 2531, 34236, 457, 2456, 15840, 254, 9658, 82, 16566, 37, 942, 254, 2110, 254, 353, 321, 19058, 274, 248, 3061, 670, 12708, 2601, 1041, 254, 2231, 20898, 394, 7960, 10772, 348, 16, 1873, 763, 16633, 6708, 248, 274, 688, 16, 1157, 2411, 15548, 403, 7151, 16, 254, 15, 688, 11231, 47816, 642, 3615, 933, 248, 248, 643, 8030, 374, 1754, 1354, 276, 440, 327, 310, 476, 15840, 15, 1885, 18540, 407, 394, 1040, 248, 0, 1602, 31, 2151, 432, 15, 13, 390, 343, 457, 11261, 14, 2365, 1040, 4105, 34382, 668, 615, 269, 16, 7151, 321, 1435, 7151, 282, 14, 353, 311, 343, 772, 394, 251, 254, 254, 11820, 16, 188, 321, 2241, 1263, 11586, 476, 1004, 2710, 2710, 86, 314, 28338, 6529 ]

[ 1, 286, 637, 7168, 1891, 6106, 14, 13596, 11931, 14, 3166, 30993, 801, 16, 628, 41513, 549, 37419, 5338, 12799, 38262, 4313, 321, 8718, 612, 561, 1364, 618, 2509, 8823, 1064, 30015, 38356, 984, 14, 310, 1017, 24925, 3699, 5519, 3, 31914, 16, 14, 5659, 16, 7906, 3891, 14392, 33519, 1062, 751, 4672, 748, 7054, 5398, 712, 274, 188, 9306, 2056, 1228, 14, 254, 961, 33, 649, 36877, 367, 272, 2066, 353, 7928, 7078, 428, 31310, 495, 16, 4842, 35, 1038, 16, 79, 26445, 328, 633, 368, 7919, 311, 1056, 188, 19434, 688, 512, 989, 1891, 452, 248, 8307, 1057, 1130, 1830, 2595, 1547, 387, 324, 444, 324, 1515, 4189, 390, 3, 353, 1061, 628, 16, 274, 324, 628, 0, 2966, 263, 3442, 16, 274, 843, 286, 323, 939, 28378, 625, 706, 618, 2960, 16, 14, 14, 387, 390, 12852, 7296, 254, 5246, 286, 8920, 254, 353, 14, 34109, 18, 1033, 41, 3715, 14941, 2541, 374, 286, 18, 274, 1368, 7, 4282, 14, 3783, 3236, 1254, 1269, 348, 387, 6211, 939, 14, 3147, 2282, 26712, 560, 915, 327, 44514, 2099, 79, 626, 2473, 14, 603, 11830, 3819, 4013, 39060, 2643, 10846, 16, 1856, 255, 282, 2976, 5494, 16, 328, 293, 1520, 890, 555, 2541, 27, 1594, 248, 531, 580, 368, 21707, 1619, 282, 8840, 188, 1615, 401, 18, 36, 47530, 16, 255, 457, 14, 44514, 36877, 418, 563, 282, 10385, 24134, 39, 14, 11676, 387, 1384, 1475, 274, 254, 3182, 2014, 22376, 5461, 368, 7560, 188, 24, 28992, 11830, 30993, 997, 368, 274, 8418, 248, 1884, 7760, 590, 21, 452, 311, 568, 286, 12864, 310, 751, 14, 1362, 14, 1339, 315, 989, 2014, 3095, 13815, 5374, 12832, 811, 20, 9055, 324, 625, 3930, 669, 1606, 625, 5736, 254, 679, 282, 1269, 14, 16, 836, 354, 254, 13964, 254, 1247, 17, 17011, 2564, 3798, 282, 188, 311, 17, 343, 2842, 274, 17212, 452, 9, 612, 4528, 368, 321, 276, 16, 1845, 418, 2976, 23, 18, 3908, 6522, 254, 58, 2686, 45681, 286, 7746, 321, 41904, 24, 26, 17, 1640, 1516, 606, 28459, 4589, 2013, 1004, 9768, 729, 984, 18, 26476, 29471, 3829, 368, 10934, 476, 801, 1116, 323, 1037, 581, 15598, 36877, 576, 20023, 16565, 11479, 7036, 286, 36877, 41916, 14, 36877, 274, 21, 368, 1244, 248, 3, 47940, 3061, 549, 286, 14, 11081, 311, 1472, 1033, 286, 2122, 348, 8177, 436, 3930, 14, 282, 37064, 374, 1901, 367, 390, 3182, 14, 1037, 779, 286, 85, 368, 11830, 1017, 41513, 276, 3, 41153, 38356, 1887, 282, 2956, 7317, 2732, 15798, 5044, 2814, 14, 2362, 8498, 4558, 862, 310, 3182, 7928, 286, 274, 5961, 3061, 27, 24243, 521, 368, 7886, 14, 274, 10068, 24925, 16, 39199, 403, 872, 890, 18, 327, 328, 961, 28378, 18417, 29471, 563, 5398, 4615, 4013, 1837, 512, 26, 417, 642, 16, 2630, 801, 2357, 889, 536, 2056, 16, 7728, 3182, 324, 4189, 348, 1093, 274, 254, 10934, 25163, 5766, 2501, 327, 3399, 17284, 33, 633, 21511, 286, 14550, 358, 282, 188, 311, 1503, 7886, 29471, 8823, 0, 343, 15256, 1091, 53, 286, 6044, 282, 368, 633, 403, 274, 521, 4400, 14, 282, 248, 12968, 16, 21511, 188, 5937, 368, 9423, 1477, 1919, 21738, 390, 615, 587, 13596, 37390, 390, 666, 7041, 3908, 254, 286, 15117, 4615, 39, 28378, 1033, 772, 36746, 1004, 1640, 19447, 471, 18, 41491, 321, 14, 323, 7409, 1516, 471, 1090, 9152, 3, 254, 26476, 5215, 310, 452, 369, 282, 11100, 274, 428, 8333, 14, 11100, 248, 14, 324, 3032, 411, 8928, 6516, 368, 607, 33519, 9614, 368, 1838, 25830, 713, 32678, 3054, 323, 328, 22, 683, 612, 1017, 13899, 8418, 470, 624, 33324, 28459, 43, 85, 772, 16, 324, 254, 1004, 30169, 285, 343, 35, 751, 8177, 531, 9257, 254, 279, 1755, 9614, 323, 1475, 22540, 387, 7036, 457, 872, 343, 633, 14550, 9306, 8840, 3182, 9540, 457, 7928, 2357, 2271, 36877, 248, 7340, 19923, 665, 8418, 282, 286, 12092, 10187, 418, 353, 50, 17236, 7352, 16963, 9614, 12864, 1891, 8928, 27, 188, 286, 1516, 1026, 274, 14, 353, 85, 370, 15598, 387, 16, 254, 324, 560, 4481, 29471, 41153, 494, 387, 22765, 282, 512, 282, 16963, 11830, 12492, 17164, 16, 324, 1004, 625, 12745, 250, 19238, 188, 3891, 441, 607, 536, 2066, 8679, 555, 3798, 10385, 33, 45624, 5736, 36199, 353, 2524, 5961, 272, 91, 7906, 311, 286, 428, 254, 28459, 444, 5827, 274, 26245, 9889, 254, 22432, 561, 19, 848, 282, 967, 311, 603, 22949, 27, 495, 14, 1354, 633, 14, 17, 6426, 671, 323, 20172, 311, 9027, 5532, 16, 27799, 250, 254, 476, 314, 6788, 41904, 16, 3182, 371, 16, 3, 19434, 315, 387, 343, 328, 12968, 53, 1832, 606, 38030, 324, 0, 3502, 1520, 30954, 626, 286, 3761, 12745, 772, 328, 3406, 57, 7638, 4013, 7638, 15, 1908, 31395, 12078, 9333, 188, 11330, 772, 390, 1891, 11814, 418, 282, 16, 607, 407, 2541, 328, 9557, 2704, 670, 2653, 338, 268, 26445, 751, 403, 3, 11, 11830, 1004, 21516, 687, 343, 321, 3, 37064, 17236, 19238, 18, 36877, 9, 38435, 248, 4013, 19063, 14, 390, 20027, 452, 756, 457, 2738, 665, 324, 785, 343, 327, 368, 188, 188, 1038, 15798, 358, 403, 38435, 353, 688, 555, 272, 274, 4288, 1640, 14941, 8369, 188, 16, 41491, 1891, 25830, 751, 563, 4523, 254, 16, 14, 1520, 1205, 2122, 1948, 18, 248, 1664, 774, 348, 286, 368, 612, 743, 39013, 3826, 9423, 14, 311, 321, 633, 1254, 963, 371, 2350, 7702, 282, 390, 1395, 719, 5937, 2595, 10501, 8498, 4226, 321, 11845, 5338, 18489, 11280, 618, 324, 1502, 254, 286, 580, 188, 268, 3916, 1268, 338, 91, 1002, 494, 7, 2967, 18, 36877, 687, 747, 512, 997, 367, 1956, 282, 4740, 314, 276, 3837, 43, 625, 3, 512, 16, 369, 417, 285, 452, 5494, 16, 16, 324, 1017, 14, 45624, 387, 414, 4558, 323, 4533, 9614, 1891, 633, 36199, 36, 282, 188, 1244, 1038, 311, 3587, 17011, 353, 17284, 26245, 14, 327, 17660, 1033, 813, 603, 2701, 5158, 839, 390, 10046, 16, 587, 14, 14392, 86, 15475, 22540, 36746, 18767, 20023, 626, 286, 1884, 12587, 1640, 495, 743, 286, 2298, 428, 2473, 3147, 36877, 17660, 7078, 323, 188, 37390, 4523, 593, 668, 282, 719, 13258, 81, 14 ]

[ 1, 21660, 24, 1130, 9616, 9024, 28, 274, 5745, 695, 16, 12339, 85, 1612, 826, 315, 328, 1046, 4032, 328, 3988, 15433, 3988, 3988, 188, 41782, 1180, 254, 19, 5612, 276, 75, 23, 8572, 4094, 33, 14, 9478, 47854, 18, 368, 16936, 1038, 7931, 18, 353, 19, 14, 688, 338, 3485, 21820, 276, 1193, 476, 21, 478, 18044, 555, 1789, 713, 41782, 264, 14, 374, 1008, 974, 11309, 594, 254, 276, 1395, 25647, 407, 416, 9199, 248, 343, 274, 3910, 416, 532, 596, 7497, 41782, 555, 625, 390, 1253, 313, 2508, 7028, 34188, 310, 1884, 1286, 4800, 311, 961, 407, 1045, 834, 343, 8942, 4094, 369, 369, 348, 715, 2602, 14, 403, 343, 848, 311, 1884, 353, 13574, 818, 626, 1491, 248, 20, 12320, 22494, 607, 254, 16, 353, 9024, 248, 248, 884, 1521, 974, 353, 3972, 687, 27161, 2115, 4465, 1337, 587, 21, 11263, 284, 45924, 28046, 1041, 353, 507, 390, 1345, 14, 5742, 9024, 22494, 354, 306, 367, 434, 8419, 417, 254, 1038, 5708, 23, 29916, 19756, 369, 16, 3096, 6766, 22494, 5568, 763, 3683, 327, 1623, 1708, 284, 719, 633, 311, 282, 328, 25, 811, 390, 274, 8392, 636, 641, 368, 16, 7162, 16, 1235, 625, 383, 729, 3436, 16, 314, 16, 276, 19724, 407, 327, 9625, 434, 367, 248, 24, 7745, 16144, 2916, 254, 28, 4094, 513, 6522, 688, 403, 9024, 407, 276, 254, 14, 1491, 73, 22122, 27, 20, 18, 14, 1309, 954, 581, 12339, 2005, 24, 26471, 367, 1368, 476, 642, 16, 248, 19756, 85, 311, 248, 5838, 310, 16, 715, 452, 2151, 3096, 16, 1863, 42144, 331, 41782, 23, 8911, 407, 532, 18, 1345, 21, 416, 282, 264, 254, 763, 21, 1045, 343, 0, 286, 4, 1544, 1345, 6648, 34024, 19756, 2120, 387, 6856, 5715, 715, 1455, 637, 890, 4094, 21465, 1817, 16, 11263, 2602, 21, 1582, 26165, 407, 4094, 7047, 11263, 14, 14, 513, 1051, 4297, 843, 2916, 494, 4564, 399, 436, 890, 30654, 19, 188, 267, 343, 286, 18, 607, 625, 374, 248, 19, 274, 41782, 188, 14687, 603, 274, 390, 5568, 835, 20, 1337, 580, 348, 367, 26773, 3063, 555, 11842, 24, 188, 4032, 25, 28, 407, 254, 813, 22371, 713, 286, 19, 254, 1337, 4325, 2560, 2169, 11263, 272, 11320, 276, 22, 387, 14, 36964, 46659, 416, 30695, 403, 8392, 407, 16, 15, 4277, 16, 30183, 11320, 8911, 639, 19756, 22, 14, 580, 974, 2916, 687, 12565, 719, 16, 1288, 40189, 19756, 687, 811, 348, 21695, 16, 13388, 16, 354, 633, 476, 2774, 663, 282, 41782, 276, 399, 476, 348, 597, 25, 8911, 2916, 954, 452, 16, 916, 4032, 713, 2151, 1120, 248, 1863, 11263, 818, 21, 416, 399, 274, 16, 248, 254, 19, 1612, 1345, 314, 3721, 417, 4029, 641, 12264, 1863, 5745, 407, 1093, 687, 11309, 14, 407, 311, 625, 633, 889, 353, 1874, 19756, 403, 368, 273, 580, 276, 16, 19756, 8121, 286, 19756, 282, 254, 276, 18, 2630, 374, 16, 274, 1851, 11842, 834, 327, 41746, 22501, 1884, 28042, 416, 843, 633, 369, 18, 14, 374, 14, 652, 1093, 434, 13219, 22494, 20, 3248, 954, 1345, 15, 416, 254, 633, 16, 310, 314, 974, 3793, 21, 603, 327, 369, 348, 2169, 368, 264, 1755, 374, 367, 19, 347, 16814, 10109, 16, 25, 26, 6262, 26773, 343, 286, 14, 387, 739, 456, 15824, 16, 248, 254, 14, 18083, 338, 343, 3061, 5838, 20607, 369, 1717, 368, 45958, 735, 20790, 14, 26855, 353, 15886, 25, 14808, 834, 1286, 14, 12565, 4787, 10068, 26154, 11842, 328, 16, 14, 38098, 637, 16, 324, 16, 29054, 4707, 284, 607, 954, 264, 18967, 28, 576, 18, 1603, 4806, 14, 282, 363, 6071, 1884, 11309, 821, 3988, 9024, 4132, 264, 624, 1026, 412, 8840, 452, 46239, 85, 593, 658, 27369, 2185, 3988, 310, 310, 3732, 21771, 188, 1330, 1337, 834, 390, 3988, 16, 16, 8293, 367, 16, 254, 1863, 15930, 2028, 356, 274, 31297, 1297, 310, 254, 2486, 3, 367, 1578, 821, 14, 19756, 1817, 24, 2273, 274, 343, 282, 19756, 476, 2468, 843, 353, 276, 19724, 314, 254, 11263, 580, 22494, 416, 28797, 3096, 276, 15, 1478, 641, 25, 4094, 328, 41782, 2169, 14, 1708, 264, 24488, 476, 835, 18, 747, 719, 587, 14898, 2710, 21962, 13411, 1884, 188, 22494, 286, 2875, 26209, 14799, 4689, 374, 580, 16, 452, 16, 9199, 24, 16, 14, 286, 1612, 1873, 188, 14, 29083, 3988, 188, 357, 20, 387, 688, 1026, 26, 1890, 811, 284, 42523, 343, 16, 555, 9970, 390, 14430, 274, 476, 8911, 20561, 328, 555, 387, 248, 2503, 865, 555, 3552, 661, 407, 282, 633, 19, 1677, 14, 4859, 20, 417, 8240, 3988, 16, 188, 715, 14145, 403, 580, 14, 729, 276, 688, 310, 407, 1684, 407, 16, 1717, 274, 310, 687, 15, 7683, 452, 27640, 374, 6437, 1703, 29083, 22494, 476, 23, 390, 1612, 24, 26953, 1181, 248, 6457, 1345, 278, 19, 14, 1773, 432, 19, 633, 24, 19756, 274, 1337, 2418, 16, 20252, 1055, 954, 687, 22501, 14, 688, 10592, 11309, 368, 41782, 19756, 25695, 14, 286, 8915, 20, 10510, 669, 1843, 26, 668, 688, 367, 16936, 26773, 14, 942, 2530, 12983, 21, 416, 9024, 11728, 779, 835, 374, 343, 16, 28, 7497, 28797, 2701, 274, 37857, 3988, 3256, 16, 1815, 27, 188, 27161, 688, 29083, 16, 188, 25, 27369, 633, 3988, 495, 2503, 14, 1708, 1093, 282, 3850, 248, 1663, 2916, 1441, 14, 367, 24, 2332, 248, 9199, 11176, 1419, 254, 14, 1144, 1848, 254, 274, 3988, 14, 286, 28, 367, 434, 3850, 6536, 9625, 1002, 14, 4929, 399, 9199, 276, 14906, 188, 267, 434, 687, 476, 2612, 18, 4757, 1773, 282, 555, 1337, 284, 28797, 416, 5167, 13461, 16, 353, 43317, 12983, 3248, 14, 688, 311, 26471, 368, 367, 188, 11263, 368, 22122, 3988, 715, 374, 8861, 20561, 11320, 2560, 865, 14, 2169, 688, 1057, 8911, 16, 835, 3988, 19, 16, 15824, 4561, 367, 16, 954, 20, 2612, 834, 254, 28797, 338, 2916, 26773, 261, 11, 8392, 848, 481, 10859, 1773, 21660, 387, 593, 1884, 1679, 45958, 740, 555, 14, 85, 286, 843, 416, 28, 29, 17460, 1328, 314, 8392, 254, 16, 188, 390, 8911, 25825, 282, 6856, 10859, 834, 4875, 10494, 368, 43552, 16, 1093, 416, 353, 349, 2432, 2427, 1828 ]

[ 1, 502, 63, 2012, 15, 16, 16, 2897, 1018, 26190, 2012, 88, 21578, 13616, 65, 1420, 26190, 8414, 4937, 477, 1855, 22, 21, 41815, 3776, 24, 1142, 74, 13616, 1358, 1510, 26190, 2192, 1420, 543, 684, 15088, 41815, 255, 12213, 684, 255, 311, 88, 19197, 3776, 6096, 23567, 88, 24, 17901, 2897, 74, 9102, 19668, 31, 2012, 2157, 3361, 8414, 10691, 1018, 1420, 9468, 210, 2157, 543, 1420, 1622, 65, 41815, 8414, 30, 10, 41815, 1420, 5736, 1690, 45098, 1510, 3776, 8414, 88, 477, 2170, 88, 13968, 477, 1420, 477, 19197, 24, 1420, 13616, 210, 17901, 45098, 4336, 88, 85, 21, 255, 1855, 1420, 210, 1358, 63, 16, 22, 2157, 30, 8414, 1855, 24, 1018, 502, 3185, 11707, 210, 3776, 311, 684, 4937, 543, 21, 45098, 1420, 21, 24, 65, 684, 24, 15088, 684, 26190, 2157, 11702, 1420, 33584, 24, 14, 477, 16, 11702, 88, 65, 15, 255, 311, 1420, 26, 3291, 17901, 1358, 16, 19197, 477, 65, 2157, 210, 15088, 21, 10, 2157, 255, 15, 45098, 4336, 24, 1358, 24, 85, 85, 1358, 1076, 11, 1420, 32, 1420, 477, 31, 74, 15, 10, 41815, 1294, 1077, 14134, 8521, 65, 24, 16, 41815, 11, 63, 18, 7108, 16, 88, 13441, 1142, 30, 1420, 684, 19197, 8828, 8828, 502, 9102, 22, 41815, 1690, 3291, 2157, 41815, 15088, 13616, 74, 706, 11901, 24, 21, 8521, 1077, 543, 543, 3185, 24, 11901, 21, 26190, 11901, 16, 8828, 314, 18, 8828, 16294, 65, 1420, 1018, 41815, 8414, 65, 11438, 255, 18888, 26190, 1420, 85, 26190, 17901, 477, 8828, 8828, 11, 1420, 1018, 8521, 20750, 4937, 314, 24, 2788, 684, 13441, 314, 4937, 24, 85, 684, 12213, 32, 8622, 24, 21, 1018, 24, 85, 543, 41815, 684, 16998, 21578, 2012, 311, 88, 21, 1420, 19197, 2157, 1420, 8622, 63, 88, 11702, 88, 3457, 3291, 2788, 21, 16, 11901, 477, 1855, 314, 1420, 1358, 1420, 15, 15, 21, 24, 21, 13968, 26190, 1420, 85, 34720, 477, 26190, 477, 19197, 11702, 3457, 2012, 63, 88, 18888, 34720, 1855, 26, 1067, 34720, 10, 477, 1067, 1018, 41815, 210, 311, 477, 502, 65, 11702, 1855, 26190, 29103, 255, 2374, 24, 41815, 5905, 19197, 85, 19197, 41815, 17901, 706, 33584, 14134, 19668, 11702, 11438, 8414, 255, 41815, 3776, 8622, 2192, 684, 4213, 684, 16, 10, 1142, 1358, 1067, 2192, 34720, 502, 63, 706, 13968, 26190, 13616, 1077, 9102, 1018, 706, 88, 8414, 15088, 477, 21, 5160, 65, 1294, 26, 1358, 11901, 2157, 255, 706, 63, 63, 1420, 8414, 19668, 4213, 32, 15088, 65, 8179, 31, 88, 29103, 8828, 1018, 24, 13441, 21578, 684, 19197, 210, 19668, 684, 21, 31, 24, 88, 16, 314, 45098, 26190, 1358, 26190, 255, 65, 29103, 85, 684, 65, 13441, 477, 1067, 26, 15, 1018, 21, 1420, 19197, 14, 3185, 74, 1018, 1358, 63, 14, 1142, 3185, 24, 188, 24, 3291, 4390, 10, 19197, 11901, 21, 3185, 15088, 9468, 477, 74, 34720, 1510, 1420, 255, 684, 16, 65, 88, 24, 314, 1420, 16, 314, 2012, 88, 8414, 11702, 8414, 88, 11707, 3457, 16, 5736, 3776, 11, 74, 88, 16, 88, 13968, 1420, 74, 684, 63, 2167, 502, 8414, 41815, 13616, 477, 1420, 41815, 26190, 3776, 1358, 188, 543, 3457, 11438, 1420, 24, 3776, 11901, 1420, 24, 19668, 477, 34720, 85, 13441, 1420, 11702, 24, 1358, 10, 1420, 1420, 1142, 41815, 19668, 19668, 8414, 21, 21, 1420, 543, 26190, 5160, 26, 502, 2012, 65, 34720, 3776, 210, 11, 22, 15, 502, 543, 14, 3776, 4390, 255, 1018, 17901, 477, 706, 543, 17901, 3361, 188, 255, 477, 88, 45098, 19197, 11901, 706, 1855, 45098, 74, 19668, 19668, 26190, 255, 4937, 88, 210, 314, 255, 2012, 88, 65, 8622, 1420, 311, 34720, 11707, 15088, 1690, 3361, 3185, 21, 477, 684, 477, 41815, 31, 31, 1622, 1420, 24, 2617, 8828, 1420, 11, 2170, 24, 10, 1420, 8828, 15088, 41815, 88, 684, 2012, 1420, 255, 2157, 11702, 210, 21, 74, 8828, 45098, 502, 15, 13616, 3776, 2157, 24, 3291, 74, 2157, 1294, 314, 1420, 45098, 5736, 19668, 255, 9468, 188, 65, 502, 17901, 16294, 8828, 255, 13441, 477, 22, 17901, 2157, 19197, 1142, 1076, 88, 88, 1420, 1855, 24, 477, 65, 543, 24, 30, 8622, 477, 18888, 3776, 684, 42588, 21, 41815, 20750, 12213, 188, 41815, 11707, 2170, 63, 1420, 1018, 18, 3457, 74, 41815, 2617, 65, 21, 3457, 4937, 11901, 543, 3185, 30, 1855, 13616, 21, 502, 13441, 21, 19197, 88, 11702, 21, 63, 2012, 24, 255, 255, 706, 22, 543, 13968, 684, 21, 16, 210, 3776, 45098, 210, 3457, 24, 3776, 2012, 16, 41815, 65, 88, 11702, 85, 1358, 15088, 3291, 65, 3776, 684, 9102, 2157, 1358, 684, 88, 85, 8828, 13616, 16, 1358, 26, 21, 65, 11438, 16, 21, 314, 11707, 9102, 2157, 2617, 9102, 21, 1420, 17901, 24, 16, 4390, 26190, 21, 19668, 1358, 3513, 684, 15, 15, 21, 1420, 2157, 31, 1358, 34720, 24, 1358, 26190, 34720, 1420, 16294, 502, 502, 15088, 311, 16, 88, 4390, 26, 41815, 41815, 26190, 21, 14, 1420, 65, 88, 11707, 477, 13616, 543, 11438, 26190, 21, 1420, 22, 1420, 3776, 41815, 8179, 15, 477, 3291, 3291, 1358, 8414, 17901, 10, 22, 2374, 1294, 13968, 45098, 3776, 23567, 85, 8828, 19668, 477, 1018, 15088, 17901, 1018, 65, 684, 543, 1018, 41815, 2012, 88, 684, 1067, 1420, 4937, 11, 10, 210, 88, 1855, 22, 26190, 8414, 15, 210, 15088, 15088, 1018, 2157, 477, 17901, 2012, 18, 88, 85, 41815, 41815, 11702, 21, 8828, 85, 88, 88, 3185, 314, 3513, 88, 19197, 65, 1358, 18, 26190, 21, 15088, 31, 2157, 26, 706, 65, 21, 210, 2788, 502, 210, 16, 26190, 15088, 11, 706, 21, 24, 8622, 15088, 30, 11702, 65, 45098, 19197, 21578, 1018, 8622, 3457, 11, 19197, 11, 1855, 684, 41815, 8828, 19197, 2157, 16, 3361, 26, 1420, 2012, 314, 2012, 63, 684, 16, 65, 26190, 14, 1420, 14, 8414, 21, 21, 85, 1420, 8179, 21, 88, 24, 4937, 2157, 19197, 16, 210, 13616, 24, 11438, 74, 1358, 16, 34720, 88, 255, 11162, 19668, 26190, 5905, 1420, 1420, 543, 1855, 11, 188, 1420, 11901, 26190, 21, 706, 24, 88, 314, 26190, 11, 311, 21, 42588, 24, 502, 88, 684, 45098, 1076, 10, 502, 8828, 65, 2788, 255, 1420, 1855, 2617, 8828, 16998, 24, 65, 543, 11 ]

[ 1, 254, 1338, 374, 9137, 10443, 321, 2211, 432, 85, 264, 16, 276, 532, 14, 254, 14, 19478, 1321, 327, 1081, 4109, 5481, 2014, 374, 27192, 5123, 15, 4376, 2957, 254, 254, 24, 276, 11118, 24, 254, 18, 14966, 327, 387, 587, 24853, 615, 1093, 24853, 2957, 3615, 21678, 276, 339, 607, 2476, 85, 327, 669, 324, 1491, 24853, 1305, 8141, 24, 85, 1350, 16, 254, 16, 14, 276, 369, 8694, 324, 4260, 587, 276, 576, 15201, 276, 13791, 1193, 8558, 14, 311, 5139, 21, 810, 24853, 16225, 343, 683, 276, 2142, 5048, 282, 254, 1350, 274, 286, 974, 615, 619, 42910, 18, 3585, 85, 33099, 29, 476, 1824, 641, 311, 276, 603, 1305, 254, 7270, 5942, 15800, 19, 24853, 2957, 2328, 931, 743, 254, 15366, 30518, 276, 14, 14, 282, 276, 1993, 16, 248, 481, 28760, 24, 18, 6495, 286, 10560, 10661, 5481, 18280, 13791, 1002, 23364, 282, 1321, 15, 2023, 28238, 19, 276, 42910, 596, 286, 22356, 18, 24853, 6844, 282, 8583, 5942, 254, 596, 2057, 18, 2974, 417, 4667, 353, 23, 1057, 14, 23073, 1738, 254, 452, 18, 6296, 14428, 33038, 14, 33099, 15253, 5481, 28, 21, 20125, 3250, 14, 2957, 2148, 18, 1500, 457, 2696, 10480, 19, 282, 23170, 23073, 17677, 24853, 457, 254, 24853, 274, 1615, 383, 555, 2957, 254, 390, 283, 50, 286, 403, 18, 596, 26598, 1062, 24853, 471, 274, 14, 8558, 14, 594, 4452, 18, 374, 328, 18, 4264, 286, 2874, 3713, 20, 15, 17424, 1205, 3427, 16, 2958, 311, 16, 374, 587, 254, 8141, 282, 9892, 303, 4448, 561, 360, 11, 14670, 327, 338, 188, 18, 1091, 6259, 18280, 4310, 573, 2957, 15510, 457, 24853, 23044, 14, 274, 573, 6825, 248, 481, 3084, 276, 924, 1738, 5484, 18, 3709, 1305, 19, 274, 1129, 29789, 42, 560, 26803, 47036, 2042, 327, 14, 26, 3297, 11, 4671, 8583, 7270, 19, 282, 19, 282, 324, 2263, 276, 19, 1664, 6329, 3906, 24853, 24853, 6844, 642, 1063, 7270, 1038, 3446, 10620, 286, 2023, 4260, 403, 254, 18, 11663, 370, 2115, 327, 802, 314, 19, 2432, 457, 274, 1091, 4646, 4141, 254, 1193, 1849, 456, 9799, 3048, 6329, 3435, 25987, 14, 16, 44828, 15510, 4109, 248, 321, 4791, 282, 555, 14966, 23, 7270, 28, 18, 314, 1521, 55, 452, 889, 5656, 407, 1733, 14, 16, 1162, 374, 254, 3355, 17626, 13791, 7270, 457, 890, 374, 6241, 24853, 4832, 14, 19, 8583, 471, 5139, 24853, 555, 8298, 642, 615, 8141, 374, 23, 327, 11474, 286, 254, 254, 15648, 282, 1707, 16, 276, 324, 944, 282, 3248, 12092, 16, 1336, 24, 18, 22807, 14, 26, 7270, 254, 276, 2473, 286, 374, 274, 8583, 3850, 532, 14, 4452, 24853, 282, 587, 5962, 327, 10480, 254, 16129, 1002, 18, 643, 6961, 2980, 7270, 14833, 328, 53, 21, 12101, 327, 324, 282, 14, 276, 21830, 338, 555, 2802, 626, 4568, 22498, 14, 2903, 7270, 1339, 7270, 16, 7254, 17250, 276, 16, 2504, 2103, 16, 1013, 14, 286, 44528, 403, 14, 643, 24853, 47036, 4109, 683, 5942, 1002, 1033, 18280, 14, 6844, 5481, 7825, 20056, 19587, 830, 276, 11528, 3326, 27, 7274, 7852, 835, 643, 15, 452, 369, 29, 2102, 2432, 24853, 86, 729, 248, 29535, 7825, 26, 24023, 2142, 254, 27, 3709, 407, 24853, 496, 6844, 24853, 1427, 276, 8667, 533, 624, 15679, 16, 7270, 35950, 3355, 254, 35938, 274, 19, 274, 14, 1143, 1162, 1350, 835, 615, 254, 6938, 2957, 13620, 456, 4260, 2196, 452, 1683, 254, 2408, 14, 86, 4387, 615, 276, 276, 14, 85, 286, 942, 273, 830, 374, 188, 2957, 282, 403, 20, 274, 86, 274, 188, 254, 14, 276, 254, 9495, 324, 16, 282, 282, 374, 24853, 254, 274, 254, 7432, 24853, 274, 924, 581, 20208, 811, 254, 276, 7825, 85, 17689, 924, 374, 5481, 85, 1521, 22, 311, 324, 248, 2210, 687, 7270, 282, 497, 32380, 686, 974, 457, 456, 11528, 22, 35204, 254, 20, 2906, 695, 8694, 16, 24, 974, 314, 1157, 314, 457, 254, 321, 432, 16, 314, 85, 274, 587, 11977, 497, 1055, 390, 42910, 276, 2042, 4709, 19, 276, 1223, 560, 324, 286, 3778, 2142, 14, 24853, 1397, 10149, 2957, 1350, 314, 641, 10560, 324, 282, 5484, 4631, 314, 596, 327, 18, 1093, 188, 276, 2476, 2023, 380, 7270, 20306, 3594, 6329, 24853, 4442, 374, 18, 14, 19666, 7825, 254, 1742, 254, 3802, 1268, 276, 380, 495, 2612, 2703, 8141, 24853, 7270, 2332, 643, 2501, 10203, 1382, 596, 6844, 19, 28132, 282, 22, 24, 276, 828, 655, 14, 2014, 2470, 18, 4929, 286, 1635, 47036, 24853, 276, 17453, 11528, 9197, 452, 14, 85, 942, 7270, 12374, 2957, 26, 16, 11321, 254, 683, 390, 2332, 481, 248, 390, 663, 276, 7270, 457, 274, 11, 4378, 1091, 532, 248, 22498, 9694, 1910, 282, 250, 2476, 403, 330, 481, 1295, 1996, 407, 34747, 16, 14, 1268, 276, 665, 403, 374, 7852, 23, 6844, 2048, 3709, 19, 15, 327, 888, 21212, 1464, 4260, 642, 3547, 532, 24853, 19, 19, 254, 398, 8583, 23, 2957, 14, 6296, 4260, 14, 2692, 374, 7270, 19, 10868, 3419, 321, 7582, 1350, 14, 254, 44828, 370, 27, 274, 2957, 10661, 6844, 2042, 24, 4682, 24853, 3458, 5481, 2958, 18, 10201, 24853, 2957, 1845, 8165, 22, 24853, 44907, 1038, 248, 4237, 1521, 24853, 18, 254, 2957, 276, 6844, 374, 2019, 1480, 520, 276, 17626, 254, 45890, 14215, 276, 13791, 3605, 403, 1849, 743, 16, 10359, 457, 688, 399, 22535, 254, 329, 3159, 1544, 1091, 16, 624, 16, 374, 35987, 5900, 4260, 282, 769, 5962, 7270, 276, 29710, 5582, 21, 374, 374, 1129, 1847, 650, 188, 15498, 276, 282, 362, 12880, 18280, 4260, 311, 2957, 2196, 2006, 900, 353, 8694, 1091, 2957, 254, 282, 14, 314, 1656, 24853, 6329, 327, 7270, 457, 311, 21830, 642, 8688, 24853, 35204, 22356, 670, 274, 85, 16, 274, 22525, 2210, 19, 23, 15201, 254, 324, 1157, 555, 282, 457, 19, 19318, 328, 17626, 276, 8583, 327, 3614, 560, 274, 374, 2048, 4186, 8694, 1519, 848, 274, 650, 1738, 276, 1051, 45459, 6320, 900, 686, 366, 188, 248, 321, 7270, 452, 86, 2476, 11528, 10092, 27, 18, 38, 2926, 1093, 1477, 276, 20, 18, 276, 7270, 4264, 188, 1268, 274, 3159, 7270, 276, 8244, 15850, 5563, 1040, 555, 2490, 18, 188 ]

[ 1, 16832, 3191, 282, 10, 30189, 669, 3014, 321, 4774, 476, 1157, 282, 4782, 17247, 2961, 68, 286, 254, 28817, 31031, 286, 628, 378, 8611, 387, 286, 254, 888, 1157, 4422, 276, 1431, 9256, 688, 248, 374, 23775, 512, 1249, 324, 1845, 1970, 16, 9205, 2733, 353, 5608, 561, 8418, 254, 14, 17672, 21296, 276, 276, 9138, 30441, 366, 4561, 441, 563, 915, 248, 254, 310, 188, 44898, 14, 747, 188, 43, 403, 2612, 731, 286, 274, 643, 1004, 615, 248, 12745, 2862, 286, 603, 597, 1603, 6400, 593, 447, 731, 1130, 4658, 310, 321, 16, 282, 33493, 324, 32081, 1309, 417, 327, 668, 3542, 1640, 811, 777, 432, 327, 254, 247, 274, 1920, 3082, 624, 2063, 4221, 3826, 2066, 34425, 276, 3673, 9496, 17608, 276, 15, 2374, 282, 1362, 5478, 411, 10, 391, 248, 1033, 633, 14, 4574, 274, 12347, 4801, 272, 3379, 6437, 479, 276, 276, 387, 248, 321, 618, 2722, 407, 2432, 311, 188, 1544, 310, 1837, 2123, 360, 8474, 274, 8283, 310, 274, 188, 1026, 479, 254, 3379, 188, 2049, 4597, 348, 3732, 603, 1901, 587, 15, 1206, 417, 4782, 258, 286, 618, 8, 747, 286, 1038, 3, 587, 16, 7618, 1629, 596, 3198, 274, 671, 576, 18, 11892, 23655, 10, 596, 836, 8418, 254, 593, 2818, 16, 41, 353, 188, 14, 403, 279, 34692, 819, 15268, 4285, 4750, 31523, 7560, 23655, 248, 944, 1447, 43463, 8718, 2818, 4688, 311, 580, 282, 2628, 11798, 282, 6967, 286, 25843, 10565, 3837, 1041, 10142, 16, 3844, 731, 14, 9466, 31674, 353, 343, 2980, 417, 36631, 14, 561, 286, 1315, 282, 14, 16, 512, 24968, 34545, 4597, 17608, 2623, 286, 28616, 28651, 618, 14074, 1157, 248, 348, 321, 1711, 310, 715, 8101, 257, 248, 13940, 476, 4466, 8725, 8621, 286, 286, 8394, 7280, 4684, 16315, 3191, 276, 14992, 360, 6344, 4598, 40394, 374, 1789, 11981, 2374, 4254, 2780, 748, 368, 4269, 2292, 20139, 6191, 254, 16, 321, 7753, 16, 282, 436, 416, 1309, 254, 282, 5103, 6051, 8128, 865, 10062, 9856, 633, 843, 257, 1002, 407, 476, 324, 2041, 390, 276, 2151, 286, 282, 532, 1309, 310, 279, 1269, 476, 324, 4561, 2030, 2525, 1845, 497, 532, 9884, 7158, 8621, 188, 324, 16, 286, 310, 16, 618, 16, 18707, 3, 4541, 14203, 593, 1090, 811, 286, 32363, 254, 353, 476, 731, 4558, 369, 254, 286, 255, 633, 1026, 14, 1745, 286, 553, 254, 668, 310, 2152, 633, 278, 257, 1444, 6128, 286, 1181, 1129, 2628, 4704, 1919, 4574, 743, 324, 254, 398, 310, 4414, 14, 8514, 16, 286, 3, 843, 4906, 1129, 481, 254, 2187, 286, 10, 2362, 254, 756, 84, 10282, 286, 4285, 1125, 254, 327, 323, 772, 14, 1034, 432, 436, 254, 286, 286, 276, 495, 1316, 282, 1919, 248, 1193, 20824, 272, 324, 387, 324, 15268, 282, 14938, 3191, 45451, 452, 2996, 282, 324, 271, 254, 327, 665, 2118, 11287, 407, 621, 11, 715, 14, 1362, 894, 11892, 306, 4456, 16, 8621, 3191, 872, 16, 343, 343, 327, 432, 254, 248, 310, 22072, 7608, 15263, 286, 10078, 282, 512, 891, 16, 3732, 1180, 843, 16, 276, 4513, 1963, 254, 2139, 836, 2951, 596, 310, 5898, 8802, 497, 1450, 3051, 310, 274, 479, 45022, 3498, 21794, 772, 45327, 16017, 2233, 14, 513, 2216, 3673, 2391, 16, 1709, 10117, 274, 360, 310, 247, 2943, 247, 747, 9461, 3837, 5644, 4517, 671, 1625, 254, 2427, 286, 1200, 23609, 32818, 310, 14, 4414, 7025, 12217, 360, 309, 441, 257, 2942, 40480, 8840, 14, 1455, 274, 11169, 1354, 944, 321, 785, 670, 12592, 248, 310, 3834, 9157, 11, 286, 1309, 495, 248, 4507, 2328, 4688, 10, 1629, 6107, 9136, 27791, 4867, 4750, 1260, 274, 17236, 14, 5065, 338, 257, 188, 22142, 3460, 432, 1180, 4679, 581, 16, 16, 17, 286, 358, 23655, 417, 576, 2206, 7223, 596, 563, 780, 555, 324, 756, 282, 286, 436, 1444, 4149, 15, 1063, 452, 561, 1887, 15425, 14308, 568, 2018, 1181, 274, 279, 368, 14, 17, 274, 248, 16, 3, 29663, 369, 763, 618, 248, 785, 729, 747, 327, 3686, 14, 5660, 15, 686, 9481, 1354, 436, 9175, 368, 282, 16, 310, 5194, 401, 2710, 12035, 327, 1026, 42191, 1480, 618, 274, 11676, 573, 8350, 1309, 286, 286, 11798, 8840, 1789, 368, 14, 11903, 8780, 254, 862, 254, 1594, 343, 1845, 276, 311, 286, 25986, 248, 1851, 282, 1838, 42475, 29523, 5799, 3, 282, 9141, 997, 13351, 1247, 2133, 1038, 33493, 5167, 3768, 4561, 10777, 374, 9375, 248, 2225, 25931, 343, 826, 16, 282, 1247, 387, 309, 1582, 742, 3998, 633, 772, 5025, 715, 888, 254, 1269, 310, 282, 343, 763, 327, 2314, 47994, 1038, 2453, 387, 248, 4929, 310, 282, 13351, 8802, 5769, 1051, 33493, 254, 18505, 1603, 14, 10, 436, 643, 324, 23, 247, 7383, 682, 1464, 14729, 19838, 12506, 27635, 286, 532, 32235, 282, 593, 4335, 16, 742, 2508, 310, 2482, 479, 353, 14, 513, 12572, 14, 16637, 274, 254, 16, 872, 286, 2101, 9856, 30589, 282, 25326, 407, 3, 16, 3, 247, 373, 34030, 6967, 417, 16, 8, 403, 390, 282, 310, 324, 4254, 407, 7676, 343, 1480, 2622, 324, 2609, 2602, 2464, 15, 360, 254, 751, 1220, 282, 1122, 2701, 5799, 6667, 532, 254, 1872, 23788, 15, 310, 3408, 338, 2118, 5058, 282, 12311, 633, 11194, 15, 3853, 248, 16, 7158, 432, 276, 18613, 3925, 11287, 4686, 188, 513, 712, 257, 310, 12308, 3646, 17336, 13259, 6788, 11798, 2019, 889, 26522, 2951, 327, 369, 31174, 23, 3690, 2371, 1258, 7639, 5708, 417, 10142, 11112, 729, 27, 276, 3, 15, 8, 1841, 626, 8840, 19080, 310, 254, 368, 368, 4383, 6327, 3223, 5555, 4872, 476, 16, 254, 16, 310, 4462, 4561, 26, 576, 4149, 1963, 1796, 254, 1074, 563, 286, 3364, 3, 1354, 946, 286, 1603, 14, 576, 35497, 3603, 11903, 374, 1830, 432, 188, 6967, 2942, 618, 188, 387, 3285, 50, 248, 551, 1952, 282, 3598, 274, 1260, 401, 276, 248, 2154, 13940, 1026, 624, 310, 276, 286, 286, 4325, 3, 512, 34109, 497, 34576, 310, 368, 343, 1872, 369, 23655, 12488, 188, 14116, 14, 624, 9874, 618, 3, 369, 3, 888, 13331, 1041, 2244, 264, 14, 1661, 944, 17364, 328, 6596, 3812, 3122, 5708, 452, 3477, 20860, 417, 5095, 2978, 254, 11676, 254 ]

[ 1, 669, 7411, 3144, 274, 1042, 311, 299, 7300, 403, 790, 248, 836, 7389, 248, 16, 286, 14, 2245, 311, 2427, 348, 311, 4544, 16, 390, 16, 3395, 8132, 3814, 21247, 274, 2849, 1610, 2807, 14, 403, 380, 282, 343, 20086, 13658, 900, 311, 276, 353, 311, 311, 619, 248, 3189, 248, 1837, 360, 348, 22471, 254, 1364, 641, 3141, 311, 2653, 2759, 248, 311, 254, 4544, 555, 668, 286, 2518, 311, 1017, 10088, 13894, 596, 1042, 254, 348, 4544, 14, 5597, 851, 1840, 944, 282, 3498, 3673, 948, 931, 23991, 286, 13372, 39348, 3835, 16, 10859, 4740, 14, 5514, 581, 5246, 3141, 368, 704, 555, 587, 16, 3171, 403, 4544, 513, 16, 4306, 340, 594, 436, 5523, 31146, 719, 14387, 1499, 353, 615, 29, 683, 1838, 3184, 254, 14, 274, 32564, 487, 1869, 16, 4504, 29, 248, 311, 38961, 4848, 1057, 11920, 2003, 587, 248, 4544, 254, 254, 889, 2541, 387, 6301, 274, 1056, 1062, 85, 37598, 1002, 487, 3364, 10661, 20086, 11176, 4544, 38961, 256, 3184, 21, 311, 282, 7564, 2943, 311, 3, 5553, 2110, 476, 1041, 748, 321, 248, 2628, 1385, 931, 14, 16, 276, 403, 388, 417, 274, 407, 3184, 4251, 596, 12120, 16, 274, 1085, 5050, 276, 452, 14, 747, 18886, 29, 1623, 353, 20, 5585, 587, 2432, 666, 2623, 7553, 3189, 417, 1920, 340, 12008, 403, 339, 2518, 33138, 1180, 353, 4699, 286, 2033, 5838, 11699, 603, 615, 321, 82, 7298, 2518, 633, 1061, 282, 13326, 2152, 671, 24100, 3360, 4544, 16, 16, 1837, 302, 16, 9874, 282, 2960, 353, 9211, 900, 20086, 286, 10859, 254, 10109, 23156, 16, 254, 282, 37598, 7054, 28253, 4130, 596, 16, 751, 321, 4248, 769, 23075, 512, 254, 360, 1041, 23, 407, 86, 476, 3506, 603, 650, 282, 14, 3184, 7300, 6685, 3065, 276, 532, 276, 5243, 1352, 607, 14, 1213, 2186, 254, 2244, 1013, 29, 286, 14, 188, 14, 21849, 30402, 10859, 286, 3736, 650, 3189, 2790, 2967, 403, 311, 6702, 14659, 4105, 16204, 15, 436, 2245, 41, 282, 22203, 3814, 5631, 2653, 731, 343, 23156, 4306, 6423, 417, 274, 1382, 939, 311, 432, 3191, 5690, 276, 286, 274, 4214, 16, 407, 3784, 286, 933, 254, 38718, 1841, 311, 16, 3564, 23626, 250, 2653, 188, 7570, 25978, 1495, 14, 14, 6326, 254, 1042, 11887, 4765, 286, 19592, 436, 343, 7675, 1017, 1826, 11779, 354, 763, 603, 311, 1603, 25978, 1223, 5062, 14, 624, 14, 338, 8862, 3065, 16, 16643, 665, 1157, 343, 279, 4544, 13875, 16, 2196, 274, 2966, 872, 8065, 1385, 417, 35995, 16126, 5395, 353, 1563, 4032, 286, 368, 417, 6151, 476, 418, 1110, 436, 4351, 3316, 15, 7273, 587, 348, 282, 17865, 16, 16, 353, 16, 276, 513, 826, 593, 2353, 869, 14670, 643, 9704, 323, 452, 248, 16, 380, 311, 1062, 380, 10295, 29513, 452, 14, 327, 835, 16, 900, 18115, 4544, 17823, 666, 5053, 4458, 45, 14, 33, 665, 417, 282, 826, 2424, 274, 248, 403, 13492, 2028, 16, 1218, 457, 650, 16, 1402, 835, 18837, 15919, 282, 4544, 4544, 1093, 1664, 417, 272, 580, 348, 4544, 16, 8101, 3065, 321, 633, 839, 4757, 14260, 811, 254, 2709, 2746, 6301, 1042, 481, 4544, 304, 457, 23156, 3184, 327, 2330, 38455, 2028, 86, 282, 403, 21864, 1583, 29717, 279, 3184, 4544, 807, 1056, 1049, 311, 4622, 16, 12192, 1115, 4544, 254, 4544, 274, 2034, 4544, 417, 819, 731, 14, 286, 4544, 311, 324, 37598, 1610, 248, 1423, 274, 751, 2778, 17143, 1640, 5708, 3217, 1061, 751, 16, 3065, 390, 24430, 751, 6979, 360, 9415, 1637, 1726, 1352, 669, 9704, 9787, 29101, 248, 343, 1726, 839, 0, 13372, 2318, 403, 407, 37598, 327, 274, 1285, 915, 1336, 14, 321, 21563, 587, 2269, 274, 7300, 4893, 16699, 21322, 353, 390, 254, 254, 826, 1015, 276, 8904, 670, 7389, 380, 3405, 669, 2514, 1110, 4544, 276, 4733, 4772, 286, 14, 353, 254, 254, 16, 7823, 5267, 16, 513, 321, 14, 587, 327, 248, 248, 2701, 900, 1180, 304, 915, 45742, 273, 48002, 4544, 695, 6578, 944, 254, 360, 3164, 961, 48051, 20941, 1081, 899, 282, 2978, 282, 665, 2778, 7389, 32687, 1910, 4544, 626, 416, 353, 274, 286, 6025, 16126, 16, 14, 35793, 276, 452, 282, 286, 22948, 1213, 248, 16, 663, 2244, 2539, 6971, 19, 5256, 254, 327, 756, 254, 311, 29513, 368, 813, 533, 2738, 1260, 452, 403, 286, 4544, 1368, 3189, 8428, 37739, 4541, 1862, 1057, 8862, 457, 7675, 628, 5894, 960, 633, 48002, 14, 593, 248, 324, 4544, 4544, 731, 16, 254, 436, 15, 6025, 2653, 254, 2034, 6004, 380, 2626, 4622, 1610, 368, 7391, 1726, 555, 2056, 254, 769, 4544, 248, 368, 974, 3170, 311, 10323, 388, 388, 417, 14752, 48002, 3838, 16, 1017, 1017, 311, 4544, 348, 286, 596, 23721, 3277, 1042, 314, 353, 3783, 311, 13894, 311, 3, 889, 256, 14, 1339, 311, 276, 188, 580, 961, 1180, 14755, 368, 642, 274, 276, 1157, 4544, 4544, 948, 4622, 2107, 3462, 7728, 311, 14, 314, 476, 596, 340, 1525, 668, 311, 14, 650, 23156, 16, 20, 680, 436, 7161, 16, 30566, 3706, 256, 282, 274, 1830, 1309, 16, 496, 274, 3184, 311, 16, 188, 680, 1015, 2332, 37598, 16, 286, 23156, 2967, 23156, 590, 452, 587, 407, 1479, 2120, 1726, 1017, 321, 14, 353, 603, 323, 368, 3341, 2696, 3912, 668, 37598, 248, 282, 407, 3133, 1837, 8065, 476, 16, 5613, 3184, 9441, 826, 670, 311, 5726, 1181, 311, 16, 29, 274, 29, 5246, 884, 944, 254, 16, 1056, 1830, 2075, 286, 311, 188, 7728, 39348, 272, 311, 532, 8738, 826, 1091, 841, 254, 465, 4544, 3141, 21563, 14, 10801, 6702, 2701, 16, 29, 2709, 9630, 16, 14, 807, 1789, 12347, 1970, 1125, 7570, 348, 4189, 939, 3915, 14, 368, 248, 71, 748, 4544, 1578, 314, 3171, 286, 14, 1970, 3483, 254, 15919, 4544, 16, 476, 472, 11362, 432, 286, 3446, 3688, 1837, 59, 254, 16, 4923, 2886, 769, 7389, 341, 16, 416, 353, 2486, 249, 282, 603, 939, 3814, 4544, 2601, 1061, 4544, 248, 1062, 432, 2774, 353, 348, 1837, 1038, 843, 417, 1056, 248, 1842, 596, 403, 1303, 2211, 9795, 16, 5070, 432, 274, 328, 16, 11, 343, 10228, 5630, 348, 4544, 1668, 16186, 282, 4504, 4544, 2622, 7389, 327, 2967, 3482 ]

[ 1, 1017, 30374, 276, 417, 587, 852, 10651, 6013, 348, 11295, 276, 18, 286, 321, 457, 481, 2033, 24, 5415, 254, 29307, 21140, 327, 35, 2071, 14204, 254, 19349, 937, 1583, 390, 8069, 843, 8686, 2165, 587, 14745, 67, 380, 27, 272, 6093, 747, 1395, 188, 353, 338, 250, 2591, 7819, 368, 7966, 432, 274, 286, 311, 403, 254, 3624, 3, 4684, 13827, 12173, 274, 15, 10827, 6013, 282, 2586, 6906, 274, 532, 27, 1002, 21140, 17318, 390, 1926, 188, 67, 42946, 1596, 4214, 33, 43096, 188, 258, 25, 1735, 2662, 25, 32609, 3812, 434, 5309, 6321, 300, 11129, 13805, 28156, 276, 368, 7178, 27, 16, 417, 3683, 21140, 338, 37035, 321, 10330, 536, 74, 771, 29, 369, 3, 573, 254, 5243, 16, 16, 7639, 2766, 5195, 5431, 27, 4426, 573, 2728, 852, 6879, 7125, 276, 9526, 32108, 274, 37169, 418, 7134, 785, 6013, 30831, 13242, 14, 16, 46764, 15, 16714, 311, 274, 6906, 317, 6987, 311, 13669, 16, 2522, 6906, 1318, 272, 4043, 1062, 10972, 16, 33, 8560, 274, 286, 4010, 3148, 1585, 17359, 7708, 27, 1602, 19760, 274, 390, 9689, 248, 1503, 29093, 10270, 1547, 2807, 970, 807, 7582, 4923, 390, 349, 15657, 368, 20880, 5940, 942, 8573, 274, 7034, 282, 6013, 16, 2989, 10651, 16, 3526, 188, 286, 14, 25763, 27, 28, 8641, 2488, 248, 8840, 1038, 282, 14204, 3834, 948, 16, 3944, 1068, 254, 10651, 286, 310, 328, 274, 16073, 274, 3768, 254, 2086, 387, 27, 16, 10244, 380, 15688, 14, 254, 0, 254, 13797, 1102, 621, 274, 19803, 10, 14, 16, 368, 33618, 1036, 1581, 5146, 286, 7582, 16864, 2207, 9333, 274, 633, 9, 319, 254, 3004, 6013, 27, 6013, 11769, 3443, 286, 17131, 2363, 248, 16, 14, 15, 14, 29, 3316, 21140, 16, 1575, 13440, 274, 348, 510, 418, 669, 328, 274, 338, 18920, 27, 368, 14, 44357, 1241, 3237, 21140, 633, 353, 1074, 254, 360, 248, 16, 2653, 282, 615, 3, 45370, 22391, 348, 254, 331, 21140, 399, 593, 432, 2997, 5700, 324, 17318, 1395, 272, 2803, 310, 272, 610, 1782, 43333, 1305, 6915, 512, 1268, 695, 254, 380, 273, 13669, 11751, 2896, 1503, 12969, 8973, 254, 398, 40465, 16, 8126, 378, 254, 6081, 22, 43096, 380, 436, 274, 368, 40465, 14, 758, 86, 2586, 6013, 18, 81, 380, 813, 4178, 74, 2591, 6041, 46892, 286, 633, 311, 24, 4184, 3006, 338, 45061, 16, 16, 4242, 7028, 25050, 5692, 852, 2896, 3605, 10272, 14, 16325, 16, 286, 7925, 286, 7465, 2087, 14, 248, 436, 16, 1479, 12725, 24, 353, 4376, 13242, 13, 11092, 33319, 1334, 317, 282, 4351, 3737, 276, 8521, 1218, 286, 16, 1042, 309, 15538, 27, 14, 17075, 276, 254, 286, 327, 4906, 2426, 343, 0, 330, 5540, 310, 274, 5431, 14, 10316, 14, 13455, 390, 807, 44342, 16, 5243, 4244, 16, 3056, 494, 3314, 9526, 16, 3571, 27, 380, 3858, 16, 274, 2131, 1735, 9375, 16, 20002, 286, 756, 16, 21966, 286, 368, 12188, 254, 407, 1286, 15897, 443, 13455, 14, 368, 6013, 6879, 254, 960, 368, 1499, 6013, 687, 309, 457, 29, 684, 282, 387, 6248, 7125, 4906, 317, 286, 4474, 19, 42476, 18017, 6013, 286, 16, 17131, 21859, 3006, 671, 1162, 13669, 13455, 6013, 42564, 13669, 6683, 276, 286, 28, 380, 443, 368, 8824, 6780, 274, 348, 3, 21140, 2514, 331, 311, 353, 6013, 641, 311, 406, 573, 19, 18072, 15, 282, 29807, 4657, 311, 28390, 16073, 11098, 2133, 251, 11058, 368, 7748, 6304, 14, 2563, 286, 4307, 311, 2365, 368, 3199, 512, 436, 6327, 5565, 10651, 272, 27546, 72, 7169, 20398, 32108, 2207, 16657, 22423, 368, 274, 407, 307, 1427, 1318, 7582, 418, 2213, 11058, 18072, 1640, 570, 374, 743, 2155, 18434, 16, 274, 274, 8158, 6879, 1181, 7134, 272, 2247, 1735, 19715, 633, 272, 380, 46003, 16, 573, 555, 457, 5537, 8055, 16, 35458, 16, 633, 436, 1336, 19568, 2482, 28, 6453, 1926, 16, 272, 29397, 654, 2057, 2033, 13455, 401, 14204, 2629, 2314, 254, 27, 7434, 12498, 387, 286, 374, 327, 328, 10651, 2512, 1250, 19, 15170, 254, 642, 254, 35, 27, 18854, 650, 5356, 3585, 286, 21662, 4117, 22130, 4851, 21140, 3074, 254, 254, 9941, 729, 1269, 1427, 452, 3525, 6741, 580, 12794, 1961, 286, 9283, 254, 960, 16, 10452, 27, 24652, 24652, 10651, 403, 1735, 4945, 375, 22, 1412, 1673, 4250, 29543, 286, 16, 11659, 274, 1516, 390, 3051, 2213, 31920, 254, 265, 15027, 593, 5854, 6879, 311, 618, 7125, 274, 4652, 2960, 618, 1090, 251, 8491, 387, 436, 21140, 276, 331, 12587, 603, 14569, 18017, 1358, 390, 274, 10280, 9941, 6330, 23652, 3335, 597, 254, 26395, 328, 29, 633, 274, 434, 14, 3132, 4002, 44059, 282, 13669, 273, 16, 6879, 5838, 14, 5258, 3673, 27914, 13455, 309, 1466, 1141, 16, 5293, 15, 254, 14, 16, 254, 2371, 1318, 18, 14, 411, 9199, 31198, 11843, 740, 11295, 6013, 330, 4540, 18072, 7582, 30996, 1308, 3981, 5808, 14204, 16073, 5846, 19649, 11, 532, 32741, 2131, 452, 14, 8216, 633, 2989, 11479, 254, 272, 6948, 675, 188, 3135, 6037, 1845, 16, 16, 1735, 46003, 811, 10, 328, 1921, 19, 67, 2019, 889, 348, 11058, 343, 274, 16263, 613, 14, 4136, 403, 1444, 756, 13924, 747, 30346, 7748, 6879, 29397, 7639, 274, 14, 2213, 613, 16, 20071, 311, 7748, 1735, 3310, 274, 1318, 1999, 343, 282, 8650, 5641, 32760, 6013, 2019, 254, 26309, 603, 14204, 13455, 18, 254, 32108, 16, 1090, 22, 942, 16, 8216, 33364, 311, 436, 5940, 407, 3290, 286, 16, 4657, 3, 29, 17318, 5166, 18350, 444, 6013, 13455, 3690, 367, 16, 633, 29, 1062, 457, 13279, 353, 254, 6759, 360, 3479, 7125, 25, 23156, 19585, 4861, 3017, 27, 1926, 9, 3405, 31050, 22996, 13669, 19699, 188, 286, 248, 9289, 2705, 21140, 801, 7134, 1926, 1045, 1819, 11758, 1205, 254, 309, 751, 16, 12957, 5813, 338, 10651, 10651, 2666, 6813, 6013, 368, 328, 14204, 16, 286, 6879, 16, 274, 286, 254, 310, 2317, 420, 6879, 29100, 418, 1308, 28, 311, 26538, 4013, 1735, 368, 16, 9, 9564, 1748, 13669, 13669, 254, 2066, 3567, 33489, 2843, 436, 4242, 2705, 2591, 14, 22111, 286, 6879, 33, 2378, 8730, 3475, 496, 26861, 1735, 4474, 3768, 2817, 542, 10, 45061, 248, 5942, 13669, 963, 416, 3416, 6013, 16, 188, 7673, 11249 ]

[ 1, 274, 2838, 362, 15643, 282, 1619, 5532, 4426, 3073, 403, 977, 2345, 2341, 16, 34825, 3065, 343, 2633, 625, 2314, 282, 14, 432, 29, 4796, 188, 248, 188, 1427, 188, 2955, 889, 266, 0, 3189, 27770, 16, 8680, 15, 14631, 12969, 1460, 8298, 4750, 22270, 7894, 286, 14, 14, 45588, 248, 403, 5867, 248, 665, 6623, 14, 13819, 9241, 14, 37345, 13819, 380, 403, 14, 6623, 633, 15754, 360, 44312, 282, 43437, 1819, 16, 26703, 23233, 14, 14, 188, 3124, 286, 2731, 286, 254, 14, 19335, 18632, 3416, 328, 188, 7753, 16429, 272, 188, 368, 276, 835, 13803, 276, 4832, 16899, 3046, 14, 16, 282, 21385, 26618, 327, 16, 32332, 35416, 843, 597, 4257, 254, 3692, 686, 23042, 19360, 2016, 16, 6313, 7274, 39801, 10408, 11144, 1353, 9830, 390, 1878, 254, 38, 16, 343, 1078, 13220, 324, 286, 19459, 2342, 963, 2633, 80, 1078, 834, 5509, 1078, 14, 18, 4589, 24204, 1218, 276, 2160, 67, 633, 14, 10473, 13220, 9241, 3883, 2426, 12969, 254, 711, 2556, 11144, 188, 18, 5370, 10186, 1078, 2065, 19360, 188, 961, 13174, 276, 428, 254, 188, 23941, 3065, 3065, 286, 188, 254, 35, 38181, 834, 14, 2633, 390, 4576, 609, 706, 580, 1033, 14, 39411, 2251, 6957, 561, 16, 23042, 282, 14, 188, 276, 324, 286, 28, 587, 328, 1862, 11172, 4467, 5867, 38181, 16, 14, 6237, 17312, 14, 21385, 5370, 4282, 248, 188, 67, 334, 633, 13819, 254, 6454, 1482, 0, 11899, 772, 266, 3692, 2984, 282, 432, 13819, 669, 8939, 2029, 188, 368, 587, 14, 706, 21071, 1180, 390, 417, 790, 23233, 2633, 13220, 390, 258, 41, 801, 624, 6450, 1683, 15643, 372, 343, 16, 1380, 26317, 1064, 3021, 1878, 2426, 2633, 5575, 254, 4856, 4400, 9241, 286, 303, 21729, 248, 11370, 1078, 14, 2187, 15445, 16532, 20238, 42412, 633, 276, 11399, 248, 254, 11673, 1903, 1934, 323, 16, 14, 1321, 2731, 4064, 4619, 826, 2586, 16, 37133, 343, 750, 18, 1683, 286, 668, 2462, 1281, 818, 15111, 4611, 663, 486, 16, 25265, 7325, 9763, 587, 5158, 1427, 16, 5370, 2718, 11174, 3124, 835, 16, 254, 14, 8873, 750, 282, 0, 311, 1514, 188, 802, 2633, 29642, 188, 30231, 254, 6755, 608, 801, 21385, 12068, 5867, 6211, 24544, 924, 23941, 17312, 343, 14, 1083, 3083, 27880, 14854, 1878, 16, 43, 1460, 23042, 286, 4343, 311, 403, 6957, 390, 1806, 16, 403, 7885, 2708, 3227, 14452, 254, 254, 12969, 368, 47277, 303, 17312, 2023, 14, 22586, 11100, 3834, 282, 37133, 25774, 502, 11048, 9315, 7, 14, 4589, 1209, 6454, 254, 13819, 3171, 274, 311, 16758, 12431, 15, 248, 688, 432, 2165, 26541, 69, 1245, 18, 432, 4933, 3481, 2824, 18487, 188, 2069, 2160, 12331, 668, 343, 16, 14, 432, 188, 254, 8778, 30684, 254, 248, 34956, 368, 2958, 390, 4301, 254, 21385, 668, 1689, 4306, 188, 2251, 3236, 14, 343, 9241, 2426, 16768, 188, 41, 353, 975, 0, 19360, 13220, 324, 14, 367, 274, 390, 390, 11144, 14, 626, 37133, 16, 5039, 254, 276, 343, 43943, 390, 16637, 32325, 624, 19147, 3, 16, 3444, 274, 286, 276, 37345, 27475, 12254, 274, 2556, 254, 3909, 23233, 11144, 476, 1806, 5889, 16, 22972, 14, 0, 1460, 2035, 3143, 14, 1042, 4759, 834, 37345, 274, 3046, 254, 1982, 28, 1334, 8680, 11434, 7325, 587, 751, 15, 254, 286, 38181, 16, 16, 3, 7103, 16, 7, 834, 758, 3, 16, 273, 353, 900, 286, 11434, 16534, 3489, 324, 14, 14, 6313, 1232, 16, 3465, 834, 27880, 2858, 293, 5194, 9927, 1689, 1514, 13819, 16, 750, 8591, 44292, 254, 9830, 22053, 13819, 5897, 641, 2251, 1878, 254, 9720, 14, 9364, 633, 5980, 254, 11100, 403, 88, 26317, 4698, 16766, 13819, 2160, 330, 4593, 663, 3821, 8010, 8195, 2522, 14, 9241, 1982, 38181, 4038, 960, 5883, 13894, 276, 9034, 286, 14, 6313, 286, 16, 254, 46397, 380, 26773, 254, 436, 37133, 18752, 16, 282, 2524, 248, 360, 4708, 360, 13220, 2556, 29, 19040, 27770, 834, 706, 390, 16479, 26317, 14, 16, 15165, 1193, 2633, 3073, 324, 1878, 7208, 27178, 17397, 4782, 668, 11, 3974, 11973, 13220, 273, 2382, 1247, 1516, 1281, 368, 2622, 273, 30495, 328, 29057, 286, 7, 6409, 3834, 22270, 16, 1078, 2251, 188, 15, 328, 1640, 2705, 2633, 32325, 16, 4126, 1920, 772, 8267, 495, 3227, 4590, 1041, 188, 1078, 328, 686, 436, 1722, 2426, 1312, 21234, 2160, 3808, 3752, 23233, 11476, 5120, 5210, 41782, 14, 274, 324, 10083, 8832, 1683, 403, 390, 7688, 188, 3292, 14, 14, 274, 3073, 867, 310, 1268, 14, 248, 254, 3073, 248, 2628, 254, 324, 1213, 580, 282, 3513, 188, 1683, 1064, 276, 759, 10544, 327, 13819, 37133, 383, 14, 303, 12254, 11791, 254, 4504, 188, 18487, 1064, 1144, 2633, 18487, 286, 254, 2426, 18, 772, 4421, 9241, 5370, 1290, 510, 12299, 743, 254, 624, 16, 3399, 282, 286, 13290, 0, 16, 743, 479, 255, 274, 593, 9720, 14, 16758, 1714, 67, 889, 1574, 1091, 576, 286, 276, 1157, 188, 2148, 16, 33, 21385, 539, 254, 1664, 282, 303, 3609, 1516, 14, 14, 1788, 360, 11434, 3808, 18, 529, 590, 6458, 9086, 772, 1281, 248, 254, 6450, 3808, 16, 835, 254, 286, 580, 750, 14752, 282, 18, 248, 274, 311, 772, 4850, 3198, 16, 1495, 19335, 254, 403, 2520, 254, 16, 839, 11943, 19360, 13653, 367, 254, 750, 15, 1694, 7670, 5867, 248, 2347, 21932, 476, 360, 248, 4301, 403, 3170, 254, 407, 403, 24295, 8895, 88, 11791, 282, 276, 254, 11045, 6592, 1078, 254, 6617, 587, 282, 6410, 3073, 772, 16, 4713, 85, 254, 615, 3495, 328, 35, 274, 286, 248, 6623, 43, 37316, 1860, 8760, 23941, 30741, 330, 18, 388, 403, 274, 2165, 286, 22303, 1928, 432, 13875, 13819, 2838, 839, 286, 3989, 273, 561, 3808, 23181, 5370, 16, 16, 7325, 16102, 19867, 282, 34825, 2963, 14, 44325, 16, 254, 17336, 274, 15227, 618, 45743, 282, 1993, 772, 1878, 846, 5867, 324, 1078, 276, 343, 21134, 274, 2104, 818, 29814, 6313, 3510, 4503, 486, 16, 16, 8634, 276, 23042, 729, 282, 46587, 13819, 2165, 771, 5509, 5575, 37316, 3692, 281, 9241, 4061, 27475, 2556, 17751, 2624, 286, 23462, 368, 20238, 273, 5120, 11883, 16, 188, 248, 1878, 5419, 327, 11637, 11546, 28, 16, 2341, 20957, 1064, 1048, 1714, 254, 11434, 11434, 328 ]

[ 1, 20, 254, 17932, 36428, 14138, 26815, 282, 5832, 452, 16, 839, 357, 3458, 23, 390, 254, 3964, 28, 16, 10308, 16, 1637, 6742, 14714, 6250, 5374, 1015, 47, 6250, 495, 3527, 85, 17, 10308, 1842, 34236, 16010, 11, 18597, 26967, 6230, 27197, 2701, 403, 188, 480, 4576, 2554, 4565, 3677, 416, 480, 3430, 53, 16, 16354, 14714, 14, 53, 2181, 14, 21, 19, 18, 18, 11, 16, 14714, 23, 17136, 188, 1594, 29205, 1382, 587, 399, 26, 314, 15269, 22, 1041, 286, 839, 28490, 587, 328, 27497, 21, 16, 336, 16, 286, 5374, 625, 6196, 655, 21, 40947, 1041, 9927, 19, 16, 2554, 683, 14, 10922, 24593, 20, 14714, 28571, 338, 26, 5650, 17136, 480, 480, 254, 3677, 44061, 28, 37228, 1041, 16, 1291, 286, 1547, 476, 2367, 324, 16, 228, 1773, 1444, 39458, 9498, 14, 1219, 6143, 1212, 38584, 16, 28, 1038, 500, 2196, 1856, 39088, 5832, 14138, 20, 24, 7802, 802, 6037, 42038, 24, 18, 305, 11, 311, 21190, 18114, 15645, 5832, 1024, 19, 2150, 36243, 305, 11, 272, 23948, 772, 16354, 254, 34315, 8270, 625, 1450, 7299, 3551, 254, 19, 16436, 13011, 18, 1146, 14, 21652, 1800, 9498, 17136, 21, 695, 1110, 3961, 15075, 597, 254, 2453, 23505, 1286, 1336, 286, 1391, 1017, 452, 40947, 13203, 4764, 772, 314, 5362, 3677, 272, 7802, 34035, 6592, 17, 20255, 248, 27829, 305, 390, 305, 276, 11308, 1143, 188, 286, 18114, 22, 22373, 15516, 757, 8782, 1494, 10308, 20255, 12638, 28162, 85, 3215, 13339, 683, 4817, 3472, 16010, 305, 16121, 328, 314, 172, 1360, 10308, 6742, 1450, 14, 19, 9716, 939, 1062, 29377, 24, 29205, 10308, 277, 1525, 2150, 7802, 26967, 625, 11, 286, 29205, 11, 19265, 1923, 1811, 2808, 16, 353, 16, 7634, 22, 16234, 380, 2701, 17136, 31386, 28, 15554, 314, 28, 830, 324, 19, 25480, 4718, 19434, 314, 747, 19, 286, 11, 274, 889, 1209, 380, 40908, 3184, 14, 343, 1330, 20, 188, 26815, 314, 314, 390, 7299, 11285, 428, 19, 2519, 39458, 5832, 839, 839, 4168, 16, 21181, 286, 282, 15465, 35633, 2181, 2181, 254, 9571, 1887, 4506, 324, 31780, 2640, 2752, 343, 15465, 18597, 314, 22, 264, 629, 17, 13792, 10258, 26, 1209, 16, 14670, 2640, 12250, 17, 15, 5367, 1755, 40159, 481, 7299, 1920, 36037, 555, 834, 16010, 3290, 1385, 19, 314, 1026, 17, 34035, 15, 20, 16, 2497, 14670, 2519, 3430, 519, 16, 10308, 1360, 954, 7528, 5089, 1663, 1450, 6062, 387, 46046, 17, 670, 11146, 17, 15740, 26967, 42778, 2931, 643, 10147, 1318, 3133, 35, 3709, 374, 10359, 46, 248, 248, 338, 390, 254, 500, 633, 2701, 39048, 8358, 188, 265, 16, 587, 7362, 40908, 1892, 500, 1247, 13102, 4356, 834, 2554, 40156, 7299, 20, 4325, 314, 334, 25, 1464, 16, 1305, 34035, 16, 40, 6742, 480, 14678, 338, 23479, 3458, 9620, 73, 264, 4237, 1450, 401, 2640, 26, 1800, 21652, 2181, 27137, 16354, 11, 26815, 695, 2834, 188, 18, 390, 7250, 4817, 14, 1305, 314, 19, 3277, 14, 481, 368, 42038, 5832, 633, 265, 14, 6721, 17, 2450, 26815, 16, 14714, 1800, 286, 26815, 1840, 1391, 428, 286, 747, 939, 28, 2916, 324, 1269, 324, 39458, 4083, 38993, 10504, 15, 11917, 1571, 1219, 1269, 10187, 29618, 22, 16432, 254, 1265, 27829, 939, 21607, 25, 248, 265, 3709, 3189, 3215, 6037, 3518, 2718, 274, 343, 16, 254, 286, 21, 10308, 23972, 40908, 16, 248, 368, 3184, 388, 19, 254, 282, 6738, 480, 17, 282, 1796, 2805, 1571, 9229, 311, 34583, 495, 3551, 839, 401, 1393, 314, 5832, 53, 274, 17, 6681, 188, 19, 46151, 2478, 6592, 31386, 9915, 480, 286, 343, 401, 390, 34035, 311, 16, 17136, 286, 15, 14, 274, 34035, 324, 74, 4436, 3472, 8342, 311, 19, 624, 587, 1574, 14, 82, 5832, 14, 640, 21, 85, 500, 10308, 274, 33351, 16, 2916, 22, 16, 39458, 15, 17136, 5845, 250, 360, 665, 354, 2354, 14, 2554, 36243, 27829, 2960, 1354, 254, 73, 355, 2519, 834, 1157, 5671, 265, 3527, 428, 14714, 1800, 330, 500, 282, 11659, 14, 939, 655, 655, 3512, 4715, 1520, 2354, 607, 1708, 4437, 41919, 16, 2354, 16, 10308, 16, 17, 665, 305, 3677, 188, 4237, 31780, 34035, 254, 1811, 401, 10527, 16, 1393, 10385, 27248, 53, 314, 1336, 14714, 28162, 3709, 250, 4856, 16, 14195, 254, 10548, 655, 11169, 1062, 314, 14, 2354, 11078, 28162, 16121, 839, 4356, 321, 25981, 34315, 1455, 14, 2478, 3672, 8678, 10147, 248, 2004, 13231, 1800, 3175, 20, 7528, 16354, 4343, 7299, 314, 1640, 17, 5832, 343, 670, 7519, 17, 31780, 15, 5832, 500, 276, 9590, 16, 1800, 12486, 3527, 248, 26815, 188, 16432, 31780, 17136, 324, 73, 1640, 10274, 248, 3184, 7604, 286, 26967, 480, 2640, 23089, 1456, 2354, 243, 6136, 188, 22, 286, 20330, 4237, 248, 633, 368, 2150, 2478, 1773, 16, 328, 11, 481, 73, 14, 813, 16642, 4576, 254, 378, 17136, 15, 14, 2276, 2408, 3527, 8075, 10178, 14135, 4237, 248, 276, 5406, 17141, 41919, 34035, 16, 834, 188, 85, 276, 324, 73, 533, 15554, 4214, 360, 338, 188, 1661, 343, 29166, 428, 10308, 3917, 6534, 6666, 286, 28, 5650, 16, 282, 16, 254, 16, 7604, 5832, 265, 3901, 10548, 510, 41511, 30691, 22, 5150, 13521, 481, 839, 28, 368, 555, 2057, 248, 30126, 286, 4208, 500, 624, 597, 480, 3672, 39458, 8011, 12509, 27197, 4237, 5832, 6196, 434, 4237, 407, 286, 4919, 2942, 14714, 305, 2181, 23948, 282, 17, 254, 11, 16642, 2025, 16, 327, 21, 282, 34721, 1663, 2546, 532, 11329, 14, 10922, 264, 1364, 328, 188, 29205, 286, 248, 500, 188, 10308, 1062, 1041, 14714, 5832, 10854, 9571, 1800, 28, 500, 26815, 14, 323, 17136, 248, 2435, 16, 29746, 21, 18934, 1219, 324, 436, 254, 500, 481, 188, 12509, 7461, 428, 6742, 3672, 14, 16, 10308, 270, 254, 16642, 16, 428, 2181, 286, 305, 40, 954, 480, 23205, 1482, 7639, 2427, 16114, 2545, 19, 254, 40908, 353, 353, 188, 188, 25552, 2150, 3184, 12507, 625, 1649, 15695, 282, 39458, 28, 19, 1062, 44, 10008, 2808, 22511, 17, 500, 428, 3471, 53, 25, 495, 15, 248, 5671, 17, 1450, 53, 16, 5832, 73, 3184, 17, 1755, 327, 2682, 500, 1455, 629, 2450, 1394, 11023, 10504, 1247, 1525, 276, 16354, 434, 11, 3673, 1733, 7588, 378, 305, 1837, 695 ]

[ 1, 63, 4623, 188, 67, 4365, 2360, 63, 82, 684, 17723, 10, 6185, 188, 1819, 2093, 426, 7384, 477, 4321, 14513, 188, 21787, 65, 3933, 10, 575, 6534, 407, 11, 324, 188, 65, 744, 426, 75, 188, 261, 40341, 5, 69, 40341, 4420, 16, 50, 10, 79, 5141, 276, 10, 14634, 65, 40341, 23804, 498, 1358, 40341, 324, 684, 2855, 65, 5310, 26491, 550, 65, 2273, 7217, 1296, 1227, 14, 276, 875, 254, 28, 539, 5911, 210, 34671, 188, 73, 324, 791, 5, 18349, 17512, 254, 1591, 36, 477, 4210, 1911, 647, 498, 755, 9851, 684, 2360, 9764, 362, 2273, 28, 188, 63, 883, 1476, 374, 61, 38, 10, 20082, 79, 47859, 90, 31, 40341, 1220, 188, 16242, 1551, 79, 14024, 3347, 70, 8710, 276, 269, 875, 314, 647, 3933, 79, 14, 44302, 1289, 65, 3933, 1476, 870, 16, 80, 188, 79, 82, 684, 65, 4905, 16, 19, 477, 1369, 65, 1034, 11, 65, 3018, 324, 79, 4321, 28531, 5141, 2375, 188, 10, 647, 28307, 1358, 65, 4623, 79, 65, 27921, 956, 3270, 11, 10, 12048, 40602, 10, 36, 17723, 6135, 80, 498, 188, 65, 3578, 5076, 14, 65, 17059, 36, 276, 1689, 1743, 22934, 17512, 65, 2759, 9409, 43245, 338, 10, 426, 65, 65, 4141, 286, 65, 29916, 14, 32931, 2093, 25072, 22, 14, 10, 684, 188, 2063, 434, 883, 16, 1160, 2273, 11743, 876, 2360, 26169, 11, 1911, 2192, 16934, 2385, 65, 6260, 26491, 276, 84, 16242, 16, 3116, 10, 16990, 2719, 1713, 378, 16, 7384, 1358, 31, 2360, 1210, 1358, 65, 28307, 1369, 285, 188, 1160, 79, 647, 8268, 2512, 65, 188, 79, 14, 11916, 248, 14513, 65, 543, 4365, 321, 65, 870, 3018, 4321, 188, 684, 19, 188, 774, 6, 870, 16, 65, 188, 603, 324, 4338, 603, 5401, 804, 477, 31111, 88, 380, 324, 2360, 15, 188, 477, 426, 61, 499, 10997, 16, 875, 3933, 1103, 8268, 1195, 7384, 2133, 12048, 426, 188, 188, 2093, 10, 67, 399, 14, 70, 65, 188, 65, 883, 1146, 684, 88, 324, 188, 16, 18, 67, 188, 2295, 11702, 188, 188, 3933, 65, 16, 2360, 365, 2617, 2007, 31, 29916, 29916, 498, 603, 18, 14018, 188, 10949, 15713, 2273, 15386, 10505, 1210, 9867, 16, 44302, 12047, 18349, 956, 31111, 40341, 348, 3457, 13711, 875, 65, 65, 614, 4321, 65, 50, 647, 1878, 758, 9, 61, 1465, 5868, 477, 188, 31, 16, 2713, 63, 82, 11702, 16243, 17283, 6534, 65, 40341, 69, 8064, 4113, 17112, 188, 2360, 704, 3512, 67, 14, 26952, 16, 380, 1369, 3434, 684, 2273, 28531, 1262, 27921, 587, 65, 61, 647, 77, 188, 28531, 13711, 65, 11960, 11, 1369, 348, 2224, 2273, 1358, 188, 16, 69, 84, 11901, 188, 11960, 8790, 2273, 40341, 40425, 362, 15386, 7173, 378, 2093, 426, 1014, 426, 11, 3434, 16, 1591, 17, 188, 63, 20, 8794, 188, 4493, 4493, 1227, 6917, 276, 3195, 2273, 5, 65, 426, 1172, 23, 3499, 1067, 80, 65, 0, 82, 311, 65, 498, 88, 23496, 543, 3457, 188, 88, 378, 1369, 40536, 426, 65, 4141, 875, 956, 9252, 286, 14, 314, 2360, 2384, 28, 2224, 188, 498, 17283, 47859, 16, 4321, 3542, 1358, 16, 603, 461, 11555, 1911, 9698, 31111, 18, 16759, 14, 1160, 1911, 65, 12048, 65, 3474, 684, 17723, 2273, 1460, 65, 4333, 550, 79, 10, 2093, 11, 3933, 399, 956, 426, 34125, 477, 188, 48, 90, 63, 14, 61, 9698, 1369, 2859, 684, 24982, 63, 90, 1358, 16, 79, 40341, 5141, 16, 48052, 1210, 5, 477, 3933, 1320, 2855, 11, 11, 13614, 14049, 65, 1599, 23876, 10621, 426, 10995, 47859, 31311, 16, 16, 2360, 188, 3753, 348, 65, 3512, 11960, 1369, 324, 3333, 24923, 28, 5050, 20855, 188, 188, 31896, 85, 14049, 31, 4321, 10, 1911, 65, 26, 65, 0, 14920, 1369, 28, 16, 477, 90, 75, 14513, 684, 426, 31896, 1146, 274, 1182, 55, 1911, 603, 10, 14796, 2290, 341, 24318, 11, 2273, 5141, 10544, 426, 31, 63, 47859, 12088, 61, 65, 5141, 684, 2192, 14, 426, 1465, 5911, 1160, 28, 1369, 12048, 276, 188, 28, 276, 477, 16769, 1465, 2250, 42115, 543, 10, 1911, 5141, 79, 684, 314, 65, 1551, 11, 1369, 314, 29916, 11960, 324, 79, 23074, 188, 15386, 6139, 5, 63, 65, 10, 61, 65, 61, 10, 1146, 65, 188, 4623, 2290, 6662, 1369, 380, 456, 65, 188, 684, 63, 188, 80, 365, 65, 13831, 883, 2360, 10, 61, 63, 254, 63, 55, 11, 4514, 1743, 461, 5141, 276, 10, 10423, 11033, 1254, 9200, 477, 248, 248, 44804, 260, 11916, 13831, 1146, 34671, 20, 188, 16, 5, 534, 883, 378, 85, 2295, 44302, 3195, 477, 61, 5287, 2360, 426, 31111, 4623, 1146, 1227, 80, 365, 188, 426, 65, 40341, 18, 5, 924, 12047, 1591, 11960, 40341, 3457, 10, 188, 248, 550, 378, 65, 188, 188, 1507, 3933, 17059, 20, 7673, 58, 499, 2384, 5, 79, 883, 47859, 324, 69, 477, 188, 188, 6534, 426, 4321, 70, 80, 5454, 34125, 3933, 2487, 28, 2295, 1369, 16934, 11, 10, 79, 1551, 543, 47602, 7771, 684, 16243, 55, 276, 188, 11, 17371, 362, 3933, 3933, 276, 1819, 870, 1021, 1246, 46946, 365, 3933, 65, 2360, 9409, 14796, 3069, 4321, 188, 370, 3933, 1094, 61, 13444, 1160, 21257, 75, 20, 12243, 2290, 1369, 564, 4321, 91, 15370, 2360, 11702, 1461, 1713, 21081, 1146, 65, 18, 341, 10, 79, 684, 2273, 65, 16, 86, 12243, 43647, 5489, 65, 436, 28, 426, 43, 11, 4321, 52, 21019, 63, 21452, 2790, 4640, 11836, 32218, 45032, 4623, 20864, 314, 426, 426, 956, 44302, 7910, 1065, 20, 3493, 426, 10385, 362, 75, 34125, 65, 65, 28307, 282, 684, 1160, 70, 3189, 16, 19, 17775, 11743, 5141, 2273, 1210, 477, 1822, 82, 16, 65, 23238, 31, 44302, 65, 285, 31, 2093, 684, 47859, 188, 26491, 6483, 188, 436, 378, 603, 956, 16, 20, 188, 684, 3453, 5, 14, 13213, 12048, 10, 4, 4333, 4333, 5735, 90, 27915, 16, 10, 684, 432, 188, 875, 40425, 5747, 1358, 65, 82, 68, 1067, 6149, 2273, 5868, 883, 63, 10621, 426, 16, 362, 2384, 1210, 16, 188, 2273, 684, 2224, 16, 11916, 23137, 26952, 2719, 61, 72, 348, 876, 188, 23876, 65, 8136, 42391, 5, 2224, 90, 426, 58, 5141, 6135, 477, 86, 28531, 1067, 1358, 2375 ]

[ 1, 254, 43199, 7021, 1196, 869, 11033, 427, 10518, 1067, 4523, 21257, 4005, 16, 931, 16202, 30238, 16, 4005, 5866, 7352, 347, 6198, 19, 1874, 1827, 274, 44438, 426, 647, 1990, 926, 1262, 1827, 4523, 6198, 801, 898, 11, 65, 82, 15313, 90, 65, 16, 16, 304, 324, 2360, 286, 6198, 2192, 10, 11187, 641, 31, 14057, 1077, 1827, 2069, 65, 21460, 434, 647, 7679, 347, 647, 883, 29, 477, 1544, 16, 1827, 61, 10, 426, 4172, 9252, 65, 28, 2796, 1827, 2127, 85, 6497, 426, 65, 4766, 44438, 11836, 2621, 18466, 343, 19, 44438, 366, 10518, 44438, 558, 65, 61, 43199, 61, 1196, 1827, 1827, 647, 4, 11, 61, 603, 16, 9102, 4005, 14, 65, 347, 5866, 1827, 426, 15285, 3102, 16290, 2796, 85, 7021, 3826, 2701, 14, 19, 11916, 7631, 7679, 7679, 43199, 5530, 14, 647, 16, 8249, 269, 341, 65, 65, 15285, 19, 274, 10518, 1401, 3399, 16, 61, 10, 3845, 314, 250, 804, 495, 34760, 11, 10763, 426, 63, 647, 19, 321, 1401, 719, 11, 31592, 347, 428, 347, 65, 63, 7679, 10, 46268, 926, 4005, 16, 63, 10, 21019, 16, 75, 61, 10, 43199, 1793, 82, 347, 4189, 1262, 1250, 1827, 12497, 38, 480, 14057, 564, 8967, 65, 18466, 2165, 647, 2432, 65, 4853, 626, 347, 926, 926, 16, 31, 63, 1004, 1465, 3399, 8249, 13473, 532, 43199, 4, 653, 11916, 16290, 82, 65, 85, 1077, 393, 65, 2796, 10, 426, 647, 46268, 10022, 27151, 922, 1623, 8369, 24097, 393, 16, 23130, 10, 20, 15394, 254, 19, 1286, 1339, 65, 19, 45323, 8249, 5313, 16, 3604, 5037, 558, 11920, 9102, 15652, 647, 65, 14, 706, 426, 3874, 8622, 314, 7444, 347, 2192, 647, 17743, 7679, 15285, 647, 14, 1800, 16, 7444, 3538, 16, 751, 3195, 14, 1077, 4092, 10, 65, 16, 16, 14456, 1210, 276, 3841, 1800, 5076, 14, 42224, 14, 647, 426, 2621, 3604, 2704, 65, 3399, 16, 426, 254, 653, 30354, 16, 1093, 15285, 647, 647, 286, 3185, 3177, 38943, 628, 13553, 15285, 47859, 7444, 79, 436, 4005, 12497, 14, 647, 15390, 1546, 16, 3399, 18, 1800, 1150, 426, 2224, 24424, 1827, 13427, 1477, 2704, 24097, 4005, 481, 11, 653, 15313, 426, 347, 3415, 12091, 3538, 784, 4080, 15285, 4, 647, 282, 16, 2409, 314, 5866, 32327, 1110, 8455, 61, 32327, 324, 269, 11911, 11, 338, 23, 44605, 65, 43199, 14, 5068, 1110, 85, 1262, 706, 2218, 65, 22, 20, 4005, 85, 10, 65, 11, 19, 5068, 10, 15313, 2224, 1003, 85, 65, 16, 4659, 65, 13553, 20, 653, 14, 16, 324, 10, 581, 82, 65, 743, 6545, 90, 11, 8324, 6483, 6198, 15313, 4523, 324, 30238, 26153, 24097, 8249, 647, 65, 3857, 31, 248, 14, 18466, 4005, 3399, 1827, 65, 2704, 20269, 262, 16, 647, 91, 286, 1110, 14, 4005, 647, 311, 889, 5866, 16, 3841, 11916, 16, 353, 2224, 16, 476, 933, 321, 1262, 314, 16, 248, 3538, 3102, 2224, 42224, 14057, 65, 449, 826, 581, 314, 11, 647, 470, 16, 1076, 839, 65, 82, 7638, 1015, 2224, 16, 14, 1339, 42224, 1827, 16, 314, 324, 1209, 11, 14, 314, 1874, 19, 10, 286, 10, 15285, 647, 706, 63, 4172, 65, 1827, 16, 14, 647, 338, 5068, 926, 65, 347, 42224, 2476, 24424, 3102, 2621, 1161, 90, 43199, 688, 10219, 1800, 534, 1256, 4172, 883, 1800, 1800, 24424, 1210, 562, 633, 426, 54, 3514, 393, 10763, 14, 19, 269, 65, 813, 2046, 1827, 16, 82, 4172, 2476, 10949, 15313, 1110, 1465, 477, 3102, 16, 3857, 2224, 82, 1077, 65, 85, 29773, 85, 1110, 4338, 1465, 4782, 647, 2224, 477, 41786, 2621, 3399, 61, 10, 2192, 4329, 8369, 2621, 14, 16202, 16, 63, 61, 14456, 65, 647, 1827, 4005, 1800, 926, 282, 45323, 1210, 269, 615, 426, 65, 16, 889, 338, 867, 1262, 82, 4523, 16, 274, 4005, 581, 75, 10763, 327, 248, 3604, 586, 61, 65, 9082, 1110, 311, 628, 348, 4623, 6198, 14, 2192, 82, 65, 19, 65, 647, 276, 16, 42224, 42108, 286, 18116, 248, 1210, 26153, 586, 14, 6106, 647, 426, 18116, 65, 2192, 647, 1160, 1800, 43199, 82, 1077, 254, 1465, 29113, 647, 65, 653, 65, 28, 82, 4090, 11, 2796, 32159, 1110, 262, 65, 804, 347, 5321, 63, 61, 426, 3604, 647, 926, 65, 304, 417, 2192, 40469, 11, 3874, 393, 6374, 65, 65, 1477, 76, 5912, 3857, 65, 1076, 8455, 3857, 7638, 477, 4005, 470, 28, 3656, 533, 647, 2868, 10, 9906, 82, 647, 63, 188, 3656, 85, 4288, 28, 393, 1408, 30238, 647, 495, 65, 1800, 14, 20, 276, 13553, 10763, 18, 4005, 23130, 1110, 15313, 82, 1125, 347, 61, 417, 926, 19, 328, 248, 713, 15394, 348, 1067, 10, 2123, 348, 65, 314, 24424, 258, 26, 2046, 804, 282, 264, 495, 532, 1150, 1827, 43199, 276, 23130, 276, 20409, 16, 403, 3399, 3857, 347, 15, 65, 265, 2224, 5053, 5076, 14, 1827, 3857, 449, 1262, 3415, 4338, 16202, 426, 1110, 647, 3102, 3195, 475, 539, 65, 10, 804, 321, 65, 922, 10, 30238, 16, 374, 254, 8866, 1827, 32159, 65, 3399, 3399, 4368, 3874, 647, 480, 647, 428, 470, 6780, 13553, 4513, 869, 10, 21, 756, 285, 24424, 353, 65, 19, 13, 46073, 1110, 45442, 8833, 1262, 6816, 647, 15313, 65, 1827, 2704, 337, 7679, 14, 14, 35629, 1250, 65, 836, 324, 449, 475, 1262, 4174, 1057, 16, 926, 2046, 11622, 46268, 3032, 434, 647, 44147, 7330, 426, 43199, 22388, 4005, 14456, 10, 282, 791, 2192, 10, 286, 16, 1612, 8037, 2123, 248, 926, 19814, 1244, 804, 2621, 338, 6198, 2224, 3857, 859, 14, 1465, 4796, 8249, 1209, 2063, 801, 24801, 2621, 1800, 426, 4965, 426, 265, 2123, 282, 13553, 91, 3485, 22, 16, 347, 647, 1076, 42224, 32055, 85, 16, 282, 477, 65, 2224, 321, 65, 3102, 276, 61, 3291, 348, 3468, 324, 14, 10, 10, 647, 65, 1262, 804, 65, 18613, 43199, 19, 65, 65, 14, 65, 14, 65, 347, 248, 6816, 10, 647, 452, 22395, 647, 11916, 3399, 922, 65, 16, 719, 455, 1339, 1110, 248, 1160, 647, 3576, 3538, 784, 1262, 61, 22388, 272, 5866, 282, 4080, 4005, 65, 926, 10, 65, 65, 3399, 4314, 729, 85, 24424, 347, 82, 1827, 8379, 13117, 2192, 9957, 1003, 2621, 470, 276, 85, 9300, 16, 3176 ]

[ 1, 311, 32595, 311, 3719, 3168, 597, 1268, 345, 8106, 1268, 869, 616, 3850, 56, 1441, 1997, 8745, 9, 7699, 45951, 520, 286, 563, 1441, 3837, 2003, 19310, 4893, 449, 387, 750, 394, 2575, 3089, 14, 3, 282, 254, 836, 188, 14, 14, 23604, 248, 388, 436, 12720, 2464, 580, 18258, 8579, 3673, 3338, 775, 949, 310, 23604, 282, 807, 282, 758, 274, 1887, 786, 13123, 607, 20101, 5103, 6708, 254, 802, 248, 1395, 282, 286, 3849, 928, 31772, 3015, 1037, 4947, 274, 321, 248, 1377, 432, 248, 274, 26393, 43, 1612, 1897, 343, 1916, 466, 16, 14, 347, 1952, 327, 310, 3544, 2731, 1502, 286, 327, 282, 8474, 1441, 311, 4098, 12509, 70, 1253, 434, 294, 8686, 248, 272, 928, 345, 684, 9, 1162, 14, 830, 432, 4607, 2871, 16, 1180, 16, 625, 3409, 188, 513, 4003, 1495, 14, 16, 15814, 327, 5245, 310, 596, 327, 28517, 9985, 188, 750, 403, 32843, 2225, 18808, 573, 4403, 254, 3470, 32214, 7334, 2980, 368, 6355, 533, 311, 5117, 26393, 353, 3, 713, 1334, 345, 18258, 1269, 3116, 18, 254, 3790, 14, 274, 30610, 38861, 28046, 3133, 417, 616, 625, 8395, 188, 248, 327, 13957, 15597, 928, 248, 2280, 321, 27133, 14, 248, 650, 282, 310, 21768, 3282, 8597, 1438, 16, 274, 12720, 273, 38861, 311, 328, 327, 1612, 14, 368, 282, 7830, 1822, 282, 1603, 479, 1931, 597, 37523, 14, 12252, 16, 2225, 3269, 248, 18, 4536, 311, 1767, 10218, 839, 286, 353, 624, 625, 41168, 1656, 3629, 56, 1619, 1205, 276, 16, 248, 5516, 512, 91, 254, 324, 1797, 327, 580, 324, 643, 348, 310, 282, 248, 5372, 758, 254, 2225, 254, 2675, 188, 3758, 9641, 14, 345, 370, 254, 30698, 407, 274, 188, 380, 40897, 21324, 324, 15422, 1789, 596, 16, 274, 26, 276, 286, 2104, 286, 35871, 279, 988, 3673, 6243, 23089, 250, 254, 14, 35780, 625, 248, 2875, 663, 328, 17741, 254, 5661, 188, 14, 16726, 14756, 301, 12720, 321, 24466, 2974, 16, 282, 2464, 24, 1480, 6331, 2824, 561, 248, 915, 1899, 43, 369, 5049, 2374, 11220, 3458, 1002, 670, 701, 1438, 20418, 9928, 729, 254, 2479, 85, 188, 852, 14199, 772, 39414, 188, 1268, 1668, 387, 321, 23722, 1102, 596, 670, 188, 8522, 839, 20151, 14, 33, 282, 18, 2117, 4704, 2102, 26862, 1041, 254, 3947, 807, 555, 20600, 13071, 16, 8521, 248, 3392, 1862, 1093, 9137, 3294, 27133, 14, 2427, 328, 10427, 5711, 16553, 309, 26393, 1102, 282, 23152, 14, 414, 274, 915, 2971, 274, 1143, 5158, 3139, 2225, 21, 747, 1130, 2712, 3849, 1827, 16, 22435, 3364, 276, 367, 286, 4422, 188, 282, 1848, 4317, 2225, 3065, 3032, 348, 3061, 452, 961, 867, 16, 1038, 1401, 254, 254, 615, 282, 276, 700, 282, 4150, 1125, 14, 801, 750, 327, 2969, 407, 1034, 1438, 328, 859, 515, 310, 2156, 10609, 14, 3051, 403, 650, 254, 16, 597, 693, 942, 369, 1106, 2421, 1063, 440, 731, 286, 5516, 949, 434, 353, 274, 254, 449, 338, 328, 1797, 343, 3377, 5475, 4747, 16755, 2858, 345, 321, 4, 1603, 188, 22118, 27669, 15, 16, 403, 248, 476, 3, 1848, 11336, 1245, 16, 327, 274, 286, 247, 328, 16, 360, 3256, 1501, 282, 28178, 327, 5522, 348, 749, 1304, 348, 188, 1336, 3156, 16, 2858, 1276, 448, 248, 721, 16, 328, 12093, 14867, 1603, 2575, 625, 310, 248, 2790, 1501, 309, 1594, 3260, 14, 14, 10046, 311, 669, 18258, 29474, 282, 188, 440, 25018, 2956, 440, 4, 14, 616, 27340, 14659, 28076, 7242, 368, 580, 390, 37306, 188, 701, 19530, 27804, 43, 387, 248, 4735, 301, 286, 311, 532, 3, 476, 16, 264, 5588, 22068, 16, 4580, 510, 452, 11182, 3673, 327, 4501, 42481, 4, 310, 28094, 324, 712, 1328, 3758, 4, 749, 5603, 369, 636, 9540, 436, 274, 254, 248, 743, 643, 1444, 915, 3780, 625, 4098, 4536, 254, 16601, 16, 636, 369, 14, 5916, 330, 16, 913, 16910, 282, 369, 2006, 12720, 7334, 254, 452, 12720, 274, 16, 1920, 650, 463, 254, 33290, 26975, 43, 14, 2280, 18023, 434, 13191, 2304, 1491, 254, 23108, 2292, 16, 3605, 12720, 2713, 417, 4424, 387, 273, 4856, 14, 8427, 1223, 254, 626, 3715, 16, 8686, 452, 3502, 188, 4, 4282, 328, 16, 573, 8621, 1141, 24972, 1722, 16, 625, 9315, 3925, 555, 16225, 4341, 276, 286, 11089, 13208, 324, 4890, 282, 274, 889, 188, 14461, 282, 26642, 12645, 869, 276, 580, 928, 1304, 16, 9781, 1797, 254, 1064, 23722, 2524, 616, 2515, 16, 626, 286, 3699, 3710, 587, 15, 1034, 6355, 14, 310, 8747, 5745, 286, 1037, 16313, 33, 274, 1340, 3462, 327, 282, 8157, 1037, 17493, 16, 1212, 343, 274, 2117, 4947, 327, 387, 1603, 641, 310, 14, 26393, 5475, 607, 2378, 939, 273, 345, 701, 5381, 248, 321, 16, 4214, 2560, 4264, 9985, 276, 286, 274, 188, 6774, 14756, 327, 455, 21820, 248, 731, 1438, 274, 1619, 8465, 3143, 915, 1782, 310, 4126, 15824, 6656, 272, 248, 1707, 286, 621, 254, 45951, 248, 36250, 22653, 2042, 9390, 14, 1062, 3681, 16, 3102, 79, 12433, 29559, 25018, 16, 2653, 8395, 286, 368, 20600, 403, 2245, 14, 25152, 4890, 327, 1304, 45720, 3083, 596, 327, 16, 343, 353, 286, 7228, 5577, 12433, 188, 25369, 21071, 248, 1533, 286, 28232, 1328, 1603, 7142, 254, 449, 747, 379, 2289, 6215, 618, 1260, 14, 417, 10060, 452, 1441, 14, 16, 12645, 749, 188, 16, 310, 276, 14, 276, 343, 1480, 250, 1703, 811, 8738, 15824, 2486, 4763, 1845, 9606, 360, 4, 43, 4400, 10609, 1499, 1055, 353, 10771, 4, 85, 1304, 0, 321, 369, 387, 11, 9791, 6350, 2104, 2646, 8738, 14, 5516, 286, 248, 807, 13191, 16, 434, 0, 15214, 440, 1782, 555, 5026, 16, 282, 248, 31461, 1377, 21747, 4424, 328, 321, 16, 369, 701, 12720, 2824, 4945, 188, 38975, 345, 2008, 1445, 14, 4590, 479, 286, 259, 2575, 2718, 1316, 2575, 731, 23722, 555, 327, 9985, 14, 328, 6106, 41168, 1887, 324, 679, 1703, 254, 16, 436, 368, 321, 6296, 1544, 27804, 2254, 10545, 368, 643, 14, 321, 345, 671, 254, 324, 276, 274, 14117, 328, 625, 14, 1970, 16, 2515, 6331, 1038, 248, 7613, 274, 254, 8708, 188, 368, 3338, 248, 314, 276, 276, 16, 1797, 5053, 4890, 750, 254, 282, 7699 ]

[ 1, 16, 360, 1583, 254, 3408, 4792, 888, 327, 1034, 16, 254, 1141, 188, 286, 1652, 807, 867, 276, 369, 2714, 934, 1362, 369, 671, 3124, 310, 17872, 16, 36205, 7970, 16, 390, 369, 915, 4774, 7560, 254, 597, 2515, 314, 310, 1603, 2499, 407, 16, 4652, 20545, 286, 5288, 5332, 310, 763, 618, 16, 324, 626, 274, 618, 4186, 1603, 311, 597, 16, 16, 1920, 663, 37595, 756, 16, 457, 16, 2181, 436, 1360, 15468, 276, 1041, 310, 86, 12506, 1689, 1848, 254, 20, 310, 9113, 1708, 11107, 310, 22064, 16, 16, 276, 597, 16, 327, 16, 8260, 417, 2778, 597, 310, 573, 338, 1318, 2976, 4667, 6107, 7650, 286, 1364, 2057, 282, 1056, 1382, 286, 1952, 369, 369, 561, 7053, 29982, 1181, 811, 276, 348, 2630, 39721, 1444, 532, 843, 2966, 811, 1063, 286, 1056, 369, 16, 360, 274, 2824, 13494, 1311, 274, 4112, 5582, 23298, 310, 360, 1382, 310, 8487, 16, 272, 1026, 276, 934, 19101, 811, 2714, 2118, 14106, 671, 671, 314, 801, 2634, 328, 15640, 360, 286, 276, 1242, 274, 10746, 7319, 310, 18070, 37595, 13494, 2666, 2013, 3847, 1887, 274, 16, 254, 274, 2876, 254, 254, 15027, 348, 282, 2640, 286, 310, 1594, 282, 403, 1664, 4264, 1205, 309, 1382, 188, 13537, 597, 11341, 7413, 387, 3400, 739, 5332, 1438, 2094, 2350, 86, 512, 39518, 3998, 286, 254, 597, 310, 5439, 1382, 353, 374, 8364, 479, 457, 5311, 282, 3428, 1755, 3124, 2514, 643, 254, 3703, 16, 561, 417, 4680, 310, 1623, 5044, 13900, 4128, 848, 2211, 310, 387, 596, 835, 4667, 254, 274, 353, 16, 4325, 637, 439, 573, 14932, 481, 7008, 6499, 1438, 576, 7052, 286, 813, 686, 310, 8260, 9729, 254, 16, 479, 369, 14, 513, 2630, 272, 3847, 1838, 3191, 188, 16, 1612, 811, 369, 510, 5582, 573, 2304, 16, 826, 310, 20396, 615, 324, 188, 348, 274, 328, 497, 16, 2640, 254, 254, 328, 310, 6051, 843, 286, 729, 254, 748, 618, 8202, 683, 13407, 2666, 2602, 19717, 4895, 19029, 802, 254, 9673, 188, 282, 13104, 16, 1063, 254, 327, 2211, 286, 248, 1668, 1515, 276, 254, 1652, 4822, 573, 16, 4285, 21693, 79, 310, 13307, 15, 2211, 1438, 327, 626, 457, 265, 2961, 327, 8707, 618, 286, 274, 39997, 16, 282, 457, 1110, 272, 369, 274, 939, 671, 745, 580, 343, 254, 1360, 14584, 650, 1223, 286, 830, 11179, 248, 254, 254, 9706, 1181, 37595, 254, 669, 1920, 282, 29982, 6400, 563, 7004, 618, 1824, 1012, 254, 1480, 282, 643, 1733, 4905, 254, 16, 4212, 16, 497, 6214, 343, 2630, 597, 16, 254, 5288, 3206, 1012, 596, 13537, 889, 977, 6173, 1311, 597, 11477, 14148, 6438, 713, 2630, 276, 1360, 5288, 16, 432, 369, 597, 729, 17170, 35343, 37595, 369, 580, 29303, 626, 561, 248, 86, 1952, 16, 328, 282, 13229, 801, 1863, 2714, 1444, 254, 310, 1277, 618, 1143, 3155, 593, 380, 5288, 1515, 2956, 11982, 369, 310, 2328, 327, 2211, 188, 6956, 1034, 671, 16, 14, 8195, 37595, 328, 573, 944, 3400, 16, 497, 1026, 254, 310, 310, 7823, 254, 254, 348, 11213, 743, 327, 1330, 14, 8195, 369, 399, 307, 6400, 3906, 16, 1495, 3428, 369, 1438, 13900, 387, 188, 16, 5044, 457, 254, 11732, 254, 19274, 310, 321, 13229, 2824, 7023, 9568, 561, 369, 486, 254, 1144, 436, 321, 311, 16, 4590, 801, 801, 4321, 10746, 254, 713, 1919, 561, 254, 729, 11473, 188, 963, 1583, 3400, 282, 5288, 457, 282, 618, 274, 28459, 254, 1410, 5667, 801, 17339, 324, 5332, 1887, 4251, 2790, 6979, 188, 1408, 5252, 310, 254, 286, 23807, 3622, 4400, 7556, 980, 2391, 23827, 16, 561, 37595, 573, 16, 254, 20885, 593, 1497, 328, 254, 561, 21616, 497, 4528, 457, 353, 254, 274, 254, 310, 188, 16, 14859, 1853, 348, 2421, 254, 436, 3575, 282, 436, 45, 254, 254, 254, 310, 1382, 2674, 310, 310, 888, 254, 254, 1851, 343, 369, 5252, 37595, 360, 915, 3661, 417, 713, 1412, 2942, 1863, 3428, 2211, 254, 2482, 86, 2961, 311, 328, 286, 826, 2966, 618, 6333, 1938, 310, 1848, 17161, 751, 618, 369, 310, 4117, 6934, 11, 254, 2630, 16700, 13220, 310, 16, 2211, 16, 2876, 563, 343, 307, 274, 343, 14, 17161, 254, 43, 1080, 1074, 3665, 2722, 311, 254, 39087, 254, 6165, 13397, 353, 248, 497, 254, 35274, 618, 510, 310, 16, 3847, 16, 807, 42447, 2807, 16, 2722, 286, 360, 188, 4321, 573, 4762, 276, 3055, 597, 387, 16, 282, 3622, 432, 3837, 479, 16, 5332, 12506, 380, 254, 2942, 683, 532, 1260, 364, 731, 37595, 9874, 2630, 32360, 353, 310, 1033, 4251, 1090, 282, 835, 10746, 310, 254, 593, 310, 369, 5582, 13537, 510, 294, 10746, 457, 286, 310, 369, 1094, 1056, 5812, 888, 444, 8715, 13229, 387, 890, 3408, 8260, 188, 457, 14, 479, 254, 38400, 327, 310, 276, 274, 12676, 16, 1311, 1026, 13494, 2486, 324, 254, 7984, 348, 942, 1034, 188, 10746, 3005, 15006, 310, 5044, 18523, 5723, 353, 561, 14, 254, 254, 282, 1491, 360, 576, 2824, 1815, 248, 1649, 380, 2666, 510, 573, 1689, 593, 24129, 282, 254, 4516, 282, 254, 2462, 13537, 618, 398, 29843, 16, 942, 369, 282, 618, 254, 254, 343, 1652, 1269, 561, 751, 16, 9001, 254, 39087, 1110, 360, 248, 286, 310, 1090, 16, 286, 2019, 18450, 2152, 85, 274, 9706, 282, 580, 248, 2849, 282, 11107, 1773, 1767, 276, 16, 1450, 35135, 19040, 1089, 16, 1019, 276, 9654, 532, 4047, 8356, 286, 12261, 324, 254, 282, 650, 86, 4428, 254, 4117, 6134, 573, 282, 7156, 2942, 254, 254, 14527, 6668, 6934, 939, 18497, 6519, 369, 16, 324, 14887, 282, 254, 1480, 532, 1623, 248, 20666, 3477, 16, 348, 1755, 2374, 497, 3811, 310, 5332, 282, 20104, 254, 16, 254, 14, 4774, 944, 4422, 19551, 802, 5439, 3155, 1509, 286, 1382, 2916, 457, 12946, 671, 12946, 13494, 6851, 1516, 254, 1408, 310, 2151, 1250, 1887, 254, 9930, 16, 5332, 254, 512, 7618, 343, 1964, 36205, 888, 22, 17034, 5325, 7560, 282, 310, 1360, 17, 282, 6344, 338, 1509, 282, 43, 353, 11197, 1444, 790, 17170, 188, 1708, 740, 328, 19101, 9150, 2961, 43, 1157, 1853, 254, 2630, 7362, 14, 432, 888, 1269, 16, 16, 3997, 286, 254, 16, 403, 16, 276, 900 ]

[ 1, 274, 282, 24433, 271, 254, 452, 436, 4945, 582, 407, 6851, 688, 3931, 5018, 407, 13191, 282, 3706, 14, 17329, 913, 352, 14, 8873, 254, 6244, 748, 347, 5431, 641, 1002, 16, 14, 6596, 254, 3931, 249, 3312, 14, 3312, 347, 9960, 319, 452, 14, 21337, 32317, 7034, 254, 353, 254, 4945, 713, 386, 27811, 37329, 5935, 390, 6987, 29732, 16, 2546, 5935, 286, 347, 2774, 8707, 24433, 1205, 4945, 24209, 452, 369, 282, 452, 274, 29732, 2700, 352, 14, 14, 3690, 276, 29732, 593, 1057, 254, 35647, 1012, 3510, 339, 497, 361, 2546, 369, 436, 825, 311, 417, 327, 5935, 3427, 188, 14, 354, 254, 353, 254, 16, 327, 1268, 32484, 5672, 18589, 3312, 3931, 10262, 15, 14329, 327, 688, 18452, 2489, 274, 671, 7814, 254, 274, 353, 4246, 327, 33, 10645, 8282, 10084, 254, 13552, 369, 327, 37329, 274, 713, 8001, 6095, 1841, 39592, 14, 2818, 14, 254, 7529, 25636, 34191, 2006, 14, 1678, 3495, 2696, 5831, 533, 311, 5935, 24326, 254, 353, 909, 327, 29732, 8219, 254, 338, 5935, 254, 314, 862, 254, 21898, 427, 581, 22, 254, 5514, 12689, 19991, 254, 4618, 16, 29, 1311, 1982, 38755, 28, 254, 497, 369, 3184, 5431, 286, 606, 14, 347, 16, 1068, 16, 8892, 1635, 414, 14, 4945, 14, 852, 497, 913, 417, 1694, 4101, 9108, 286, 721, 2096, 7406, 33169, 17800, 17800, 14020, 14, 9258, 14, 417, 282, 533, 374, 33852, 254, 434, 32032, 286, 889, 16, 532, 274, 414, 380, 1034, 642, 14, 2955, 8334, 16, 369, 460, 353, 321, 380, 286, 1390, 407, 3506, 8707, 2667, 7783, 17177, 497, 14, 254, 6648, 3608, 14, 16, 8707, 2432, 4945, 4072, 266, 324, 254, 311, 286, 254, 14, 248, 1220, 1361, 1525, 459, 14, 2835, 29732, 19648, 286, 1218, 2436, 16, 668, 30837, 254, 3931, 417, 417, 587, 327, 71, 274, 274, 16, 642, 16, 24690, 671, 3427, 414, 29732, 3736, 11690, 286, 254, 9771, 3312, 7736, 4945, 533, 17047, 1180, 9125, 1225, 7681, 36804, 254, 4829, 16, 254, 15086, 13166, 254, 311, 274, 596, 374, 497, 510, 272, 30432, 29732, 713, 282, 407, 282, 4337, 327, 321, 274, 474, 14, 274, 188, 274, 265, 1495, 14, 32991, 254, 615, 274, 5935, 596, 2741, 10123, 3614, 14, 4025, 321, 274, 836, 2595, 390, 286, 493, 321, 14, 6124, 1726, 14, 3899, 1041, 282, 896, 14, 327, 721, 14, 407, 254, 274, 512, 24433, 9108, 11763, 495, 642, 27, 497, 900, 15900, 2436, 37652, 1186, 274, 2546, 7525, 14, 306, 3596, 254, 16, 369, 19195, 324, 19992, 274, 29421, 2204, 247, 16, 5831, 274, 8892, 188, 10872, 274, 3427, 495, 1431, 510, 3312, 16, 14, 4945, 254, 42686, 14, 17203, 254, 900, 360, 521, 16, 7525, 7368, 460, 449, 2659, 33516, 369, 407, 254, 14, 254, 286, 14, 1219, 16, 327, 328, 277, 17203, 254, 16, 369, 274, 11153, 17177, 283, 533, 1869, 14, 254, 280, 2474, 306, 34894, 15180, 47717, 276, 388, 1747, 274, 254, 327, 4945, 254, 347, 925, 2903, 254, 11690, 44514, 1464, 1841, 434, 749, 4644, 4945, 449, 274, 29704, 779, 248, 16947, 749, 1225, 14, 403, 276, 436, 721, 7361, 6825, 2436, 510, 274, 325, 407, 254, 388, 731, 3622, 276, 254, 9108, 4725, 348, 5139, 188, 274, 9263, 399, 9125, 6387, 9108, 254, 282, 347, 476, 282, 254, 25995, 862, 1426, 380, 1527, 327, 282, 306, 331, 328, 2741, 22300, 3427, 14, 13665, 2926, 10123, 248, 14, 20361, 311, 836, 374, 4945, 4945, 4756, 188, 254, 2843, 6032, 407, 327, 1606, 352, 414, 436, 348, 254, 418, 5935, 67, 274, 16, 328, 44514, 1826, 24433, 14, 17800, 13191, 1219, 32585, 282, 16, 33169, 3706, 1956, 970, 16, 327, 3427, 5831, 13236, 248, 7529, 30386, 407, 3931, 887, 4464, 188, 3073, 347, 24409, 286, 23470, 883, 19880, 188, 33258, 254, 35617, 311, 47450, 669, 896, 900, 348, 254, 10661, 449, 24359, 14, 369, 2436, 254, 254, 1912, 16, 32069, 328, 663, 14, 14, 401, 2429, 3177, 254, 2096, 331, 1956, 282, 274, 14, 417, 16, 2436, 16, 1220, 2410, 1062, 14, 21898, 28290, 6093, 5018, 6951, 327, 476, 327, 1427, 532, 417, 443, 353, 852, 254, 2318, 254, 5563, 2006, 274, 2634, 25234, 311, 14, 5028, 6095, 16, 497, 274, 900, 2318, 300, 2774, 683, 14, 42183, 274, 324, 403, 5656, 2211, 10827, 283, 5839, 15169, 407, 274, 14, 9125, 9162, 497, 7002, 274, 1250, 1361, 5935, 452, 254, 32869, 360, 353, 896, 311, 274, 2692, 407, 587, 254, 248, 3427, 41015, 3427, 34403, 254, 274, 1143, 403, 5330, 25636, 380, 286, 274, 1993, 254, 274, 3015, 30374, 327, 41584, 254, 1931, 276, 188, 276, 713, 825, 712, 14, 71, 14, 276, 3240, 352, 1220, 4205, 862, 641, 353, 14, 353, 925, 327, 311, 14, 3584, 2843, 14, 272, 14, 428, 272, 254, 14, 282, 1748, 449, 758, 360, 254, 14, 14, 1733, 729, 826, 596, 39201, 2843, 13457, 713, 3784, 14, 254, 25995, 4090, 695, 4072, 825, 2630, 1219, 970, 14, 1472, 254, 16, 14, 449, 16, 2304, 807, 387, 16, 4945, 10830, 510, 14, 4945, 369, 274, 188, 343, 14, 380, 497, 14, 2096, 403, 16, 30837, 14, 2051, 2546, 16, 449, 3312, 57, 1843, 1430, 2803, 4783, 10413, 390, 25636, 944, 497, 974, 1815, 13391, 390, 286, 497, 39435, 390, 274, 624, 801, 2468, 6160, 254, 2860, 378, 276, 14, 5018, 4822, 248, 1364, 30837, 254, 4945, 8438, 4945, 387, 1205, 353, 13227, 29732, 15235, 417, 282, 254, 274, 286, 272, 4314, 347, 4597, 14790, 3312, 286, 4090, 1289, 360, 3132, 7614, 4725, 11479, 4801, 14, 533, 274, 274, 254, 9726, 282, 459, 1339, 37492, 900, 643, 15169, 6815, 32826, 286, 889, 5018, 274, 347, 374, 9947, 414, 11786, 274, 4945, 321, 496, 254, 1922, 403, 6093, 5444, 2318, 14, 4945, 436, 14, 862, 3606, 387, 14, 883, 24433, 16, 22, 2034, 24690, 669, 2893, 1129, 2080, 13191, 4402, 417, 22505, 14, 41, 17726, 254, 13166, 13700, 10078, 286, 348, 748, 324, 432, 9125, 5174, 254, 7406, 17963, 369, 4945, 2426, 3427, 22575, 5174, 29732, 6244, 663, 375, 254, 29847, 2213, 254, 11118, 10110, 17158, 24326, 8504, 731, 8775, 774, 10615, 282, 282, 369, 20554, 282, 1015, 274, 4945, 11876, 5831, 3312, 2228, 10926 ]

[ 1, 8509, 18306, 353, 15734, 9632, 418, 3809, 2982, 1354, 13418, 286, 276, 8474, 8867, 3277, 353, 254, 9520, 6132, 276, 309, 2080, 1527, 4235, 6987, 5553, 19, 2807, 7810, 7032, 452, 327, 254, 59, 14, 10094, 310, 18522, 5041, 34820, 347, 286, 2586, 3333, 19783, 3368, 15039, 687, 3584, 460, 19517, 9162, 15, 29, 544, 7743, 403, 3927, 257, 14, 5626, 39757, 774, 5041, 1247, 481, 6492, 418, 327, 254, 9024, 282, 481, 9630, 42934, 3525, 282, 5889, 327, 2218, 390, 819, 390, 78, 671, 5766, 273, 1527, 47483, 6474, 25298, 22289, 23715, 282, 43, 282, 695, 311, 13245, 418, 19, 327, 35684, 441, 282, 16, 9595, 14, 390, 282, 18, 7032, 29886, 27127, 274, 23, 368, 4235, 390, 2586, 1872, 35059, 407, 5307, 188, 3577, 321, 34820, 560, 441, 33051, 1661, 1657, 9162, 1298, 839, 390, 3027, 1385, 276, 188, 367, 4708, 417, 2543, 937, 4028, 264, 3368, 3612, 418, 1385, 18, 380, 188, 2080, 4012, 7682, 9858, 274, 254, 282, 282, 368, 34820, 2992, 374, 39043, 282, 34400, 274, 10953, 16, 11, 314, 772, 26328, 9380, 47630, 16, 889, 374, 16, 587, 6474, 314, 14, 11608, 14, 6492, 3368, 13470, 1286, 11839, 324, 13470, 6492, 18327, 6492, 5118, 977, 2160, 2909, 4356, 5346, 282, 16, 16, 5243, 403, 4012, 407, 407, 6194, 14, 15945, 26868, 417, 7032, 2080, 6492, 9066, 10804, 772, 641, 33686, 390, 6492, 1029, 774, 7304, 29, 390, 3376, 282, 4012, 5224, 39043, 274, 2517, 40584, 348, 36519, 3525, 16, 19, 7682, 11730, 471, 407, 4314, 14491, 277, 2909, 452, 15, 869, 254, 19, 374, 5638, 282, 15, 10732, 34820, 327, 2349, 2543, 33459, 353, 5766, 19917, 31476, 441, 2586, 388, 628, 977, 368, 321, 1201, 254, 2586, 6879, 1042, 14, 276, 418, 4012, 74, 417, 2080, 46, 25474, 254, 1091, 14, 642, 1405, 4252, 14, 6492, 314, 254, 1596, 1336, 3462, 327, 819, 7682, 3965, 28, 254, 1286, 276, 7032, 14417, 16, 314, 3525, 17204, 6546, 2207, 19577, 5278, 2080, 5931, 3733, 452, 265, 4653, 20242, 16, 276, 70, 19, 2517, 390, 3350, 6986, 980, 20692, 11, 46209, 46, 286, 273, 286, 14, 1042, 555, 774, 30724, 3368, 5234, 311, 418, 4356, 6879, 441, 282, 28281, 274, 34820, 5861, 22116, 16, 27447, 407, 3184, 4012, 8726, 327, 47, 4859, 29792, 6492, 615, 11, 6879, 729, 1830, 41685, 286, 665, 5294, 417, 282, 1996, 43147, 17, 2586, 403, 15, 248, 8064, 15889, 3215, 16, 1201, 4012, 2023, 706, 500, 2186, 285, 24822, 7250, 3368, 6879, 34820, 390, 368, 29310, 774, 418, 16, 2909, 286, 432, 10501, 13763, 889, 6583, 1244, 1878, 510, 2856, 14, 671, 436, 387, 343, 2468, 31476, 286, 418, 6474, 8969, 37224, 8411, 390, 418, 11, 3350, 274, 5638, 819, 15842, 282, 59, 4704, 970, 6492, 2449, 368, 47114, 45917, 1269, 36519, 6492, 2517, 8647, 5041, 5719, 10501, 291, 18306, 14, 374, 21188, 756, 7459, 6492, 8764, 347, 2586, 1063, 36706, 825, 328, 16, 2218, 665, 286, 2909, 8500, 39043, 324, 15025, 417, 960, 248, 512, 4815, 418, 254, 16, 368, 311, 7142, 2634, 374, 768, 0, 254, 314, 11592, 3215, 403, 22818, 2080, 29202, 14, 5889, 3525, 9846, 3737, 5041, 836, 6879, 1516, 1405, 31883, 819, 418, 1527, 286, 36903, 4532, 254, 10711, 14, 3900, 8500, 9162, 19, 16, 188, 390, 321, 387, 68, 3134, 819, 23618, 282, 2543, 286, 1903, 9632, 282, 1374, 15, 2349, 444, 285, 7032, 368, 418, 417, 440, 6492, 368, 11771, 3368, 25042, 4003, 11608, 417, 6492, 4045, 254, 4087, 254, 20938, 8454, 28, 2969, 14, 4012, 274, 603, 41490, 30867, 496, 4002, 1321, 328, 361, 5569, 19200, 403, 16293, 5228, 282, 3333, 403, 4, 2909, 737, 14417, 3427, 3446, 1303, 67, 14, 3832, 368, 5766, 328, 16, 37285, 229, 6492, 188, 11839, 8867, 254, 29834, 5228, 327, 633, 276, 22, 2960, 2909, 254, 4226, 14, 31054, 403, 6492, 417, 418, 3511, 286, 19713, 9, 2066, 3368, 19812, 266, 286, 20, 8764, 6396, 441, 11060, 327, 834, 434, 1906, 347, 403, 254, 407, 286, 7702, 11671, 418, 7032, 24453, 3525, 31035, 324, 418, 3462, 15641, 274, 18327, 4, 457, 418, 24, 274, 311, 2951, 15, 4028, 2148, 248, 26589, 5044, 633, 418, 665, 5554, 274, 188, 276, 2449, 1093, 3027, 361, 665, 1779, 1830, 40465, 254, 282, 5041, 36166, 26095, 274, 16, 4012, 3368, 1269, 368, 30867, 3567, 1395, 4076, 274, 587, 282, 9162, 368, 1822, 6492, 7032, 4978, 5766, 8489, 2080, 10953, 854, 18306, 368, 3596, 10953, 5766, 2448, 27, 5626, 3511, 6879, 18, 403, 4242, 665, 665, 21911, 390, 418, 390, 14, 22381, 18671, 2207, 282, 4474, 18111, 16, 1423, 1193, 1063, 3364, 328, 9595, 7032, 254, 6492, 2586, 889, 3368, 6879, 349, 19474, 387, 324, 4297, 18, 665, 403, 418, 418, 18696, 6492, 16, 354, 23486, 282, 327, 16, 69, 5719, 33974, 314, 6492, 282, 933, 889, 14, 417, 324, 665, 248, 2181, 14, 300, 16, 15039, 18, 14, 10501, 19, 314, 16, 11839, 11, 324, 254, 7810, 839, 4709, 1745, 20477, 9024, 23, 3453, 2586, 368, 4773, 263, 4314, 41835, 18306, 633, 0, 12007, 314, 5889, 1610, 286, 2181, 23, 16, 5041, 16, 256, 18, 16, 42695, 368, 2586, 411, 25042, 10544, 6492, 5638, 331, 390, 16, 390, 14377, 6492, 14, 229, 4314, 418, 5044, 4012, 5477, 1520, 2586, 16, 3525, 28367, 5692, 18771, 32214, 347, 11771, 1201, 16, 273, 188, 19657, 374, 2372, 36033, 751, 1042, 5044, 5211, 14, 4959, 10407, 46698, 8075, 2633, 22647, 254, 276, 324, 390, 25298, 390, 28575, 14, 6980, 665, 1903, 330, 45877, 1661, 4076, 2468, 22458, 1897, 34239, 10501, 2349, 250, 26328, 282, 7449, 374, 4012, 6492, 591, 4063, 11342, 665, 513, 3899, 3258, 34239, 28281, 417, 587, 481, 39043, 16, 9632, 6492, 4336, 24634, 24, 2543, 6546, 418, 254, 2586, 3706, 248, 1392, 2543, 276, 2349, 5041, 5638, 286, 772, 12399, 665, 774, 19577, 24822, 21816, 10501, 16, 3163, 387, 54, 20897, 2951, 16, 249, 8821, 368, 3567, 17750, 36, 3368, 3376, 90, 13187, 16, 24112, 3977, 32092, 274, 695, 3368, 2856, 14, 1273, 274, 42844, 8500, 361, 418, 6492, 6987, 434, 390, 374, 16, 8910, 665, 2485, 669, 2080, 15039, 33245, 20296, 16777, 4151, 7810, 30499, 2554, 286, 7032, 695, 2517, 41685, 18671, 85, 2408, 10501 ]

[ 1, 15, 17, 1554, 671, 5, 684, 2962, 684, 9346, 188, 5141, 1554, 65, 33212, 2523, 1358, 39846, 188, 19343, 2962, 2215, 5, 65, 19343, 15185, 684, 5141, 65, 684, 5, 24318, 1358, 4287, 2962, 550, 188, 65, 5, 2962, 65, 72, 684, 2788, 684, 5, 3454, 3934, 5, 5141, 684, 2962, 1358, 5141, 3958, 188, 15405, 2962, 12541, 684, 1662, 2071, 65, 9742, 558, 684, 2962, 5, 85, 684, 188, 23261, 684, 5141, 65, 5141, 1476, 684, 14, 188, 9188, 684, 684, 65, 5, 65, 5141, 24821, 17, 5, 558, 1358, 671, 483, 684, 188, 5141, 5, 2962, 5, 4967, 5, 2962, 875, 19744, 188, 13975, 1358, 684, 44145, 13410, 39846, 684, 550, 684, 65, 19343, 671, 2788, 2315, 558, 684, 3323, 15185, 5, 188, 3958, 2962, 65, 9346, 684, 2538, 2962, 2962, 14, 1358, 188, 1554, 2962, 1671, 5, 188, 188, 5141, 1662, 684, 2071, 5, 65, 5, 12541, 1358, 684, 3958, 33212, 3454, 2788, 5, 9742, 684, 684, 684, 4287, 2962, 3934, 4458, 12541, 65, 2215, 2215, 188, 2962, 5, 5141, 31249, 1476, 2962, 14, 188, 2962, 188, 2523, 684, 2315, 5141, 2315, 32875, 5141, 2962, 671, 5141, 2071, 33703, 2962, 5141, 39846, 2523, 188, 188, 24318, 1671, 65, 188, 12541, 2962, 7910, 5141, 1358, 39846, 684, 14, 72, 5141, 2962, 65, 684, 5, 4287, 188, 5, 65, 19343, 188, 1554, 12541, 65, 65, 6713, 684, 188, 5141, 5141, 3958, 5141, 2962, 2962, 684, 10775, 65, 33212, 2315, 188, 65, 5, 188, 5, 1671, 684, 2315, 188, 5141, 1662, 188, 7910, 17, 39846, 1476, 2962, 4458, 2523, 9742, 1358, 5, 5, 4287, 558, 2215, 72, 550, 188, 684, 1358, 684, 2215, 3958, 188, 684, 65, 33703, 5, 2962, 2962, 188, 65, 188, 684, 5, 9742, 65, 5141, 17, 188, 65, 9346, 5, 2523, 5, 24318, 188, 3454, 5, 65, 5141, 5141, 684, 2962, 5141, 1358, 188, 3958, 1671, 2962, 5, 5141, 1358, 15185, 684, 684, 5, 1476, 33703, 684, 3383, 684, 684, 558, 684, 31249, 1358, 7910, 684, 3934, 17, 5, 188, 5, 2962, 1662, 9742, 2788, 2071, 2523, 188, 188, 15185, 65, 1662, 3958, 39846, 558, 2962, 3958, 5141, 7910, 4458, 9742, 31249, 751, 684, 17, 684, 9742, 5, 2962, 684, 751, 5, 12541, 20090, 5, 6713, 2962, 1662, 684, 5141, 188, 5, 684, 1358, 188, 5, 65, 2962, 3958, 65, 684, 3454, 6713, 3958, 6713, 5, 65, 5141, 33212, 188, 5141, 188, 33703, 4287, 5141, 1358, 1358, 5, 10889, 1358, 2523, 14, 5, 2978, 7910, 3323, 875, 684, 5141, 1358, 65, 5141, 2962, 3958, 2962, 684, 5141, 65, 5141, 684, 65, 2071, 188, 188, 65, 684, 671, 684, 24318, 188, 684, 875, 550, 7910, 684, 1671, 5, 1358, 72, 751, 15, 188, 558, 550, 5141, 684, 1554, 5141, 5141, 3454, 751, 2962, 1358, 684, 684, 65, 188, 2523, 5, 2315, 684, 9346, 684, 5, 37355, 65, 1358, 684, 5566, 14, 31249, 188, 5141, 5141, 19343, 7910, 3323, 2215, 14, 188, 65, 188, 3934, 5, 14, 684, 7910, 188, 5141, 684, 65, 65, 5, 5, 3934, 684, 188, 65, 5, 483, 550, 3958, 5, 65, 684, 5141, 2962, 85, 6713, 684, 5141, 684, 5, 5141, 2215, 2962, 751, 188, 1554, 2962, 5141, 65, 65, 2215, 72, 1358, 14, 33703, 188, 188, 2962, 188, 684, 1358, 1358, 188, 1153, 1358, 5141, 2215, 2962, 2962, 14, 14, 188, 684, 4287, 188, 875, 558, 9346, 684, 5141, 684, 188, 550, 1358, 2788, 5, 2962, 1153, 65, 188, 5141, 32875, 9501, 10022, 2962, 188, 2962, 2962, 15, 1662, 5141, 684, 5141, 65, 1358, 684, 1358, 5, 8013, 2788, 5, 1153, 5, 12541, 2215, 5, 31249, 684, 1358, 684, 5, 5, 5141, 65, 609, 4438, 3958, 684, 5, 188, 1358, 188, 24318, 684, 188, 65, 188, 3454, 550, 5, 65, 5, 65, 5, 5141, 65, 875, 1662, 65, 31249, 684, 5, 1358, 2315, 188, 5, 684, 2962, 2962, 188, 5, 684, 188, 188, 550, 32875, 2962, 1358, 5, 1358, 32875, 671, 14, 10022, 3958, 2962, 15185, 1358, 24318, 188, 1358, 2215, 19744, 15185, 684, 65, 72, 65, 2962, 24318, 2962, 2215, 65, 9346, 684, 1358, 5, 4287, 188, 2962, 17, 17, 282, 2962, 65, 2962, 5141, 2962, 188, 5, 188, 2523, 1358, 188, 2908, 875, 15185, 1671, 39846, 188, 9742, 12541, 5, 5141, 31249, 5141, 5141, 2962, 684, 19343, 5141, 65, 5141, 684, 9742, 875, 3454, 684, 684, 188, 5, 3958, 684, 65, 14082, 1358, 19343, 5141, 5, 751, 2962, 5, 188, 684, 684, 684, 3958, 13315, 684, 65, 2215, 5, 684, 3934, 188, 188, 684, 671, 2215, 5141, 188, 16237, 188, 1358, 2962, 1358, 684, 5141, 188, 5141, 5, 1358, 5141, 5141, 65, 2215, 5, 684, 684, 2215, 5141, 5, 188, 5, 1358, 1671, 5, 684, 188, 671, 2962, 14, 5, 3934, 32875, 5, 1153, 15185, 188, 39846, 19343, 1358, 21216, 5141, 188, 5141, 4095, 4287, 19343, 19744, 65, 1358, 5141, 65, 72, 24318, 17, 684, 65, 1554, 684, 31249, 65, 5141, 684, 1671, 44145, 2538, 684, 2962, 188, 561, 1358, 65, 2071, 2788, 14, 188, 5141, 27867, 684, 5141, 39846, 684, 5, 2962, 7910, 5141, 14, 2962, 65, 188, 2962, 6713, 5, 5141, 2962, 1358, 684, 3323, 5, 33212, 32875, 558, 684, 1358, 875, 5, 684, 2962, 188, 188, 1476, 561, 5, 65, 684, 684, 2215, 65, 751, 188, 2962, 188, 5, 5, 1476, 12541, 684, 65, 2215, 684, 684, 188, 65, 1554, 2962, 5141, 5141, 2962, 684, 5141, 1358, 5, 3958, 1899, 5141, 65, 2538, 684, 1358, 684, 3323, 188, 1554, 65, 5, 3323, 5, 5, 15, 2962, 684, 3958, 65, 3934, 15405, 65, 2315, 2538, 65, 2788, 5, 684, 5, 3454, 3323, 65, 5, 2315, 5141, 5141, 1358, 2962, 9346, 5, 33703, 14, 65, 5141, 2962, 5141, 5141, 14, 33212, 5, 65, 5, 72, 65, 684, 1662, 9346, 33212, 14, 14082, 2962, 684, 188, 188, 684, 1358, 24318, 2071, 65, 32875, 3323, 9346, 5, 671, 2962, 2962, 684, 32875, 684, 31249, 1358, 751, 33212, 1358, 4287, 15185, 875, 65, 5, 5, 2962, 751, 2962, 558, 1358, 37355, 188, 2071, 1554, 39846, 3133, 65, 684, 1828, 5, 188, 72, 3934, 2788, 33212, 2071, 65, 5141, 32875, 3323, 5, 188, 684, 684, 3426, 188, 684, 684, 1671, 2962, 2962, 33212, 2962, 3454, 2962 ]

[ 1, 21278, 16, 481, 481, 9696, 3790, 311, 1740, 2543, 390, 282, 3536, 666, 5805, 5939, 1678, 5328, 1993, 4458, 4076, 188, 311, 353, 772, 417, 836, 4076, 248, 14, 452, 10216, 311, 2371, 3427, 3889, 254, 52, 751, 588, 16, 2014, 526, 481, 274, 689, 8143, 756, 311, 9696, 311, 274, 2696, 15, 769, 254, 5322, 2563, 16, 7609, 282, 11637, 915, 16, 286, 16, 311, 311, 819, 14, 2243, 963, 307, 14747, 14, 286, 52, 7837, 343, 3136, 1603, 10782, 274, 432, 10782, 89, 610, 961, 13236, 4594, 588, 624, 13805, 2133, 3026, 10782, 20728, 380, 353, 869, 254, 7002, 481, 403, 74, 11525, 1500, 403, 11637, 830, 6069, 1649, 811, 633, 11, 2432, 44938, 417, 8718, 321, 254, 16, 16523, 1544, 4750, 274, 1460, 4254, 248, 668, 16, 3109, 5563, 11, 14, 11100, 526, 4076, 15, 254, 314, 6503, 276, 14, 3783, 626, 1275, 324, 1026, 593, 403, 6702, 274, 1102, 5982, 3783, 3889, 4564, 311, 12472, 23900, 314, 33290, 14, 555, 13718, 353, 9696, 407, 1181, 21815, 1354, 11637, 40774, 6211, 476, 327, 282, 254, 615, 432, 403, 4466, 387, 11322, 1896, 46538, 282, 44938, 282, 35012, 7837, 3783, 457, 390, 47137, 2696, 307, 4122, 457, 282, 1815, 610, 16, 16, 407, 327, 274, 29533, 440, 436, 403, 14, 1004, 33932, 2046, 380, 330, 42694, 555, 32354, 436, 633, 615, 2916, 561, 16, 16613, 615, 248, 11637, 2357, 28905, 248, 1672, 28, 2133, 9152, 248, 15787, 254, 624, 274, 1964, 576, 7353, 2075, 274, 276, 1845, 5939, 282, 374, 307, 7407, 254, 16, 11525, 353, 5494, 274, 30058, 8209, 16, 2649, 941, 16, 14241, 18827, 327, 10799, 7837, 3889, 1181, 444, 2181, 5846, 468, 324, 321, 10782, 476, 3783, 1664, 626, 843, 311, 254, 1026, 942, 3889, 4273, 1460, 5982, 403, 13659, 3324, 311, 6567, 615, 12551, 12587, 9394, 561, 390, 3095, 826, 85, 276, 481, 248, 311, 476, 3165, 272, 14747, 4615, 2187, 11637, 18, 12551, 610, 997, 2636, 307, 3996, 8088, 432, 20192, 417, 15225, 15, 328, 10799, 2563, 14199, 248, 4995, 4183, 668, 16653, 16, 743, 286, 16, 9375, 915, 14, 743, 889, 11637, 399, 282, 188, 476, 1062, 254, 9290, 403, 28, 6177, 13583, 11525, 1181, 11525, 254, 282, 14747, 39155, 11637, 380, 254, 390, 311, 668, 3793, 4341, 6742, 248, 324, 254, 1423, 307, 13879, 22453, 282, 687, 328, 3165, 311, 1849, 10782, 188, 16, 4076, 2378, 17628, 282, 282, 417, 15, 1460, 3889, 3133, 3783, 4273, 328, 85, 9696, 476, 286, 21815, 13605, 769, 1062, 22453, 436, 311, 16580, 615, 319, 593, 7183, 10782, 1612, 440, 3622, 643, 3783, 2187, 12315, 327, 3956, 254, 10216, 1840, 2591, 20727, 4594, 286, 1205, 596, 1390, 248, 1726, 16, 3574, 457, 580, 2443, 2187, 889, 2811, 16, 286, 1129, 10782, 286, 31516, 18407, 4076, 3783, 666, 14, 888, 254, 85, 14, 254, 254, 248, 276, 1460, 254, 248, 7890, 14, 380, 2584, 2151, 440, 11525, 11637, 2133, 2187, 10629, 286, 311, 254, 440, 254, 327, 3983, 19143, 311, 10369, 282, 11020, 15, 52, 327, 254, 3233, 476, 36700, 4594, 2133, 11637, 731, 432, 1460, 1015, 1012, 311, 31979, 2714, 1385, 610, 311, 380, 826, 533, 826, 254, 10413, 327, 942, 6319, 8143, 2623, 532, 30585, 11426, 668, 4317, 669, 8143, 671, 5939, 4284, 14361, 248, 254, 52, 436, 2591, 282, 785, 13658, 7477, 963, 282, 494, 1838, 28293, 4607, 513, 254, 330, 4341, 16, 1285, 729, 15, 327, 2365, 403, 282, 1664, 254, 974, 4576, 311, 624, 4076, 11020, 16, 286, 16, 8143, 368, 321, 18161, 327, 380, 843, 276, 14, 615, 3258, 3746, 1726, 314, 369, 596, 479, 1397, 10138, 311, 2150, 769, 15, 254, 1145, 1074, 452, 2876, 307, 20, 14417, 327, 23099, 9696, 286, 276, 282, 826, 5364, 1129, 343, 21343, 3783, 11637, 2133, 495, 286, 13236, 2150, 10782, 10782, 5926, 633, 3258, 4076, 16, 15, 16584, 1896, 274, 1733, 11637, 286, 14, 843, 7919, 286, 440, 931, 274, 14, 403, 751, 33211, 15, 272, 327, 4341, 5384, 348, 11462, 476, 276, 9362, 3021, 324, 282, 348, 67, 67, 11637, 15214, 327, 532, 2150, 16, 348, 14, 495, 668, 3238, 36, 10782, 40131, 327, 19, 85, 10581, 2807, 931, 274, 314, 436, 4024, 3783, 5939, 311, 15, 321, 688, 89, 314, 311, 314, 1953, 3570, 248, 394, 4921, 20058, 643, 580, 321, 254, 282, 3165, 353, 476, 624, 669, 2824, 274, 42567, 3238, 311, 13262, 286, 1493, 274, 643, 286, 512, 387, 7317, 5698, 14, 16, 3997, 11606, 16, 311, 417, 14, 3258, 311, 254, 21815, 1499, 46187, 1026, 7955, 13659, 254, 1460, 22, 20058, 494, 374, 348, 3709, 10782, 2443, 314, 14, 3979, 261, 348, 1218, 1057, 3258, 324, 4076, 1460, 286, 254, 348, 16584, 254, 14, 33193, 248, 4360, 1503, 327, 403, 2075, 14, 4479, 615, 5511, 4645, 353, 417, 14, 4343, 476, 587, 2365, 3144, 72, 282, 368, 276, 16, 21579, 286, 369, 321, 5939, 286, 627, 5416, 282, 2515, 2150, 476, 1321, 4369, 8143, 403, 476, 1041, 32807, 494, 407, 596, 756, 615, 5167, 432, 321, 6359, 2169, 40131, 7183, 286, 274, 1460, 942, 9621, 3310, 695, 282, 593, 24552, 248, 7461, 20727, 641, 11637, 16, 272, 4183, 74, 254, 256, 1491, 4076, 21278, 3165, 2701, 286, 2243, 14809, 254, 1193, 16, 4297, 369, 276, 38028, 10214, 596, 14, 6359, 8143, 1635, 1129, 4204, 14, 889, 33193, 34562, 5674, 931, 390, 254, 188, 14747, 603, 836, 830, 668, 311, 3258, 668, 779, 1623, 2065, 1002, 0, 254, 276, 10113, 254, 254, 476, 16, 328, 11525, 3574, 274, 28, 10782, 314, 2626, 188, 14, 9931, 2878, 494, 4594, 274, 327, 324, 1590, 348, 3783, 3889, 274, 452, 10782, 593, 6149, 254, 731, 580, 6319, 327, 14, 18, 633, 13890, 5060, 2811, 57, 84, 2153, 669, 1460, 282, 5885, 4076, 948, 14, 16, 3165, 670, 23519, 2187, 4341, 1495, 4349, 282, 1726, 432, 33290, 254, 14, 5396, 321, 16, 3248, 16, 6425, 440, 311, 319, 4368, 398, 19143, 14, 7942, 3310, 274, 16, 16985, 10782, 321, 6126, 380, 274, 24458, 452, 16, 679, 42694, 27135, 444, 3530, 380, 282, 15225, 4076, 40131, 14, 45128, 26839, 353, 311, 457, 4214, 826, 16, 2714, 11637, 3783, 2602, 403, 555, 45128, 2133, 274, 403, 348 ]

[ 1, 46642, 188, 665, 16, 3378, 1262, 3176, 29, 1465, 15, 1962, 17036, 1067, 647, 434, 29960, 532, 5105, 28570, 3226, 14, 1195, 16, 19837, 534, 31309, 29, 647, 647, 10, 22458, 14, 65, 2012, 3226, 1002, 1067, 51, 7241, 65, 32605, 16, 5, 95, 30976, 10, 13114, 470, 426, 188, 2813, 16, 3709, 10889, 804, 16, 426, 647, 44438, 647, 16, 564, 7277, 254, 826, 324, 647, 10219, 16, 2426, 426, 254, 10, 31, 470, 804, 1333, 32605, 19783, 16, 1441, 665, 2614, 603, 16, 8032, 2474, 641, 0, 11, 2508, 1003, 15611, 4097, 2796, 2012, 14374, 1067, 5516, 210, 1245, 11710, 1067, 9506, 5336, 1067, 647, 647, 512, 33544, 4720, 10, 9506, 4623, 2160, 1076, 9324, 3493, 587, 16, 65, 12763, 3980, 188, 18, 188, 65, 1827, 1827, 16903, 20, 2621, 2796, 11916, 9741, 65, 26444, 6892, 7957, 28, 1160, 16, 839, 23, 10, 19837, 16, 10, 65, 14028, 21, 22989, 1038, 603, 647, 3226, 11833, 328, 647, 300, 3981, 11916, 2337, 33451, 11710, 3255, 1911, 16, 1139, 1827, 32605, 65, 4747, 1003, 88, 18, 1827, 4862, 282, 254, 19, 16, 926, 5097, 1827, 4078, 88, 647, 19837, 188, 32605, 28, 16, 65, 7523, 3333, 3476, 25440, 14, 6625, 2525, 32605, 11, 3226, 3226, 17271, 27250, 7955, 1148, 2426, 647, 25440, 3226, 16, 1148, 12663, 338, 16903, 1465, 5, 1827, 17, 11, 29, 30128, 758, 1067, 390, 11, 1827, 403, 5, 16, 647, 5, 1465, 2192, 254, 3409, 14, 10195, 15983, 2024, 37, 8032, 65, 84, 1262, 274, 44438, 1262, 7954, 188, 16, 44438, 3226, 5, 3226, 470, 11, 5216, 1160, 684, 3949, 324, 353, 16, 5985, 3226, 4872, 1262, 32605, 926, 33451, 15, 25440, 6103, 653, 7957, 647, 11, 3255, 2224, 5238, 12041, 88, 3226, 1701, 10740, 4078, 10424, 647, 1800, 1067, 4862, 1623, 3513, 17, 28, 8870, 254, 647, 10, 11, 4338, 18, 647, 1668, 16, 1465, 32605, 6103, 19, 426, 470, 2621, 4740, 3, 8794, 20545, 19517, 65, 11, 22989, 14374, 343, 867, 7339, 10219, 15611, 14522, 3808, 11422, 958, 16, 426, 6103, 1827, 1358, 20242, 8316, 12041, 17271, 16, 12041, 19, 1196, 477, 21257, 19, 5064, 1067, 254, 65, 27237, 15, 8335, 12041, 24692, 8037, 15679, 11916, 1395, 647, 870, 210, 1827, 28, 3255, 188, 1465, 1045, 1160, 25023, 16, 28, 2012, 16, 5, 5868, 18, 1067, 256, 14, 814, 29, 603, 4081, 4640, 426, 926, 2629, 1210, 32605, 343, 647, 16, 926, 4872, 8047, 51, 4338, 13837, 27237, 254, 1160, 8032, 19, 6474, 19917, 28, 16, 804, 647, 3189, 647, 69, 6103, 276, 16199, 1800, 17271, 65, 25162, 7957, 5868, 19, 1210, 3226, 10, 1635, 8232, 2049, 3226, 933, 3226, 1465, 2426, 28, 4747, 188, 647, 360, 784, 14, 5, 24000, 16, 2684, 647, 926, 926, 32605, 11916, 1067, 3476, 5105, 16, 670, 5868, 20545, 69, 27237, 2192, 804, 10, 5, 625, 8335, 11, 1827, 311, 3189, 14, 13837, 1262, 2192, 32605, 11916, 8032, 37471, 15464, 1358, 5566, 4640, 1827, 31, 495, 4862, 3226, 17, 9428, 12542, 11, 38457, 926, 5097, 926, 274, 31, 5868, 7848, 29, 4139, 1160, 3255, 5, 5216, 10, 348, 33297, 5216, 2629, 647, 1358, 459, 46642, 4360, 17, 321, 1148, 15, 1806, 8032, 188, 44438, 14687, 8032, 1827, 273, 10, 804, 22143, 1139, 14, 15, 426, 30128, 10, 32605, 29, 22989, 5780, 1827, 28, 926, 16, 16, 2192, 1160, 1196, 915, 25808, 16, 2224, 3476, 84, 1148, 3226, 10740, 1139, 1245, 11710, 784, 11, 791, 3737, 311, 1668, 32605, 11710, 11, 1827, 28, 3980, 1269, 426, 10694, 65, 32605, 35192, 8032, 11916, 1827, 15, 8032, 286, 2155, 436, 11641, 10, 1262, 7446, 16, 14, 12041, 533, 286, 16, 5516, 25606, 1534, 3432, 16, 8651, 353, 1067, 647, 11048, 8335, 8867, 286, 27250, 21, 5318, 926, 10, 407, 16, 470, 44438, 1540, 3980, 16, 65, 30128, 4078, 1160, 596, 11, 188, 11, 28971, 11139, 1262, 5050, 16, 4479, 4862, 2349, 8047, 647, 16155, 2000, 65, 4746, 1262, 65, 18932, 10, 28, 28, 188, 25023, 16, 14588, 3226, 25440, 5336, 7910, 31, 11, 1827, 276, 452, 16, 3493, 34650, 4493, 23138, 4747, 1245, 24544, 16, 16, 1160, 1067, 16, 1067, 17409, 16, 286, 14, 25808, 353, 11641, 5, 10, 647, 14, 27528, 7108, 2621, 27250, 5868, 647, 16, 1262, 8047, 1827, 3384, 88, 11628, 314, 8032, 1196, 276, 3226, 1465, 65, 543, 8794, 14374, 254, 5868, 647, 10644, 10424, 16903, 5, 3226, 5489, 4676, 27985, 16, 276, 3226, 426, 1800, 5216, 16, 11554, 11, 28306, 25440, 603, 4740, 65, 11033, 314, 380, 647, 5770, 248, 2192, 2865, 1067, 4493, 69, 1465, 1827, 8651, 5, 1827, 1827, 2360, 1067, 7955, 188, 10, 7523, 10, 25440, 2684, 11710, 31, 6347, 3189, 16, 3189, 1262, 11, 3226, 647, 8651, 26150, 5336, 647, 14, 25808, 18, 8064, 21257, 5434, 18, 1827, 27237, 324, 14, 926, 14, 1067, 16, 300, 550, 6975, 23138, 28, 665, 32605, 25440, 5868, 1067, 804, 647, 2024, 32605, 25440, 426, 2498, 3384, 1938, 330, 4034, 69, 264, 10, 477, 2426, 10, 477, 24531, 7954, 88, 926, 3571, 5105, 324, 29, 647, 32605, 4862, 5216, 7048, 14, 25808, 16934, 21, 5238, 3043, 10, 16, 327, 11710, 826, 16, 14, 1996, 603, 3291, 11598, 4493, 353, 25440, 18941, 14, 3291, 11916, 2684, 348, 16, 16, 338, 23138, 16, 8032, 1076, 9436, 1827, 1827, 32605, 65, 14, 9506, 8047, 188, 1827, 1003, 1540, 2012, 25808, 4862, 14544, 3226, 28, 1855, 14, 2024, 65, 3226, 784, 8335, 32605, 188, 28, 426, 65, 210, 784, 647, 1800, 4608, 12663, 16, 2192, 476, 2512, 1003, 1827, 1827, 14, 1827, 12663, 254, 3255, 368, 254, 2192, 1551, 7277, 1952, 624, 188, 188, 65, 65, 11916, 12041, 3189, 647, 65, 17, 28776, 1635, 2094, 14, 1003, 65, 16, 16, 23138, 3226, 274, 17, 13114, 7955, 5, 254, 647, 56, 30128, 647, 65, 5934, 5, 16903, 188, 11710, 20545, 913, 16, 10, 254, 5216, 28, 3226, 210, 65, 8032, 28, 1139, 11916, 16, 37471, 4493, 19, 65, 254, 1459, 274, 3226, 18, 1921, 15, 12041, 684, 343, 14, 3189, 11641, 4655, 3291, 1286, 2621, 5336, 1148, 28, 633, 417, 1003, 4396, 374, 1903, 625, 8037, 1827, 390, 16, 4862, 5, 1827, 44438, 426, 14, 348, 926, 5, 1827, 25, 16652, 65, 684, 14 ]

[ 1, 457, 28, 701, 16, 2278, 27, 248, 27, 7995, 7221, 1533, 25, 19655, 26, 12370, 3551, 14, 276, 248, 17051, 39952, 276, 1631, 254, 22, 11318, 23588, 41792, 276, 27, 42330, 286, 286, 13695, 2211, 16137, 338, 286, 16, 16, 3792, 387, 7258, 7626, 254, 532, 3819, 276, 581, 22980, 481, 4099, 2910, 11795, 276, 22, 623, 324, 11131, 2048, 16, 27, 16, 248, 338, 11436, 374, 1553, 27, 314, 14922, 5245, 22, 6751, 1469, 254, 286, 286, 14, 11795, 2421, 282, 4502, 1533, 387, 16, 254, 2048, 312, 652, 348, 1811, 10052, 4243, 22, 276, 276, 14922, 345, 23762, 401, 254, 26, 769, 4273, 18099, 21, 19971, 7995, 6252, 11131, 27, 369, 2211, 274, 18, 27, 254, 254, 5245, 3453, 254, 276, 274, 254, 1469, 496, 274, 26, 7995, 276, 652, 387, 5245, 27, 669, 1533, 23808, 496, 943, 7465, 254, 20993, 35837, 21897, 274, 7221, 276, 555, 369, 21, 701, 286, 14, 2764, 432, 2522, 5245, 16899, 11131, 691, 274, 16, 7258, 12582, 560, 8074, 25, 18, 3568, 276, 1948, 24, 15, 254, 10825, 276, 20, 701, 248, 30859, 9515, 5044, 11984, 274, 33065, 518, 4181, 338, 481, 188, 643, 6342, 24, 18, 4543, 5461, 18, 26, 374, 254, 18, 276, 495, 496, 276, 42526, 11194, 8147, 2421, 843, 3889, 18248, 15131, 29838, 15131, 19, 6977, 254, 367, 14, 756, 6081, 22400, 276, 2628, 18, 286, 254, 1783, 276, 17142, 39952, 39043, 2568, 1330, 615, 1470, 8709, 18, 21096, 286, 374, 23, 16, 46, 374, 4543, 2779, 496, 348, 1057, 5521, 37438, 16, 254, 20993, 16, 17538, 20993, 274, 248, 14, 18, 3850, 374, 432, 652, 338, 16, 3929, 30845, 4181, 1091, 555, 254, 2963, 42380, 2228, 1500, 4959, 338, 2020, 16, 314, 6652, 25951, 18, 276, 39952, 8709, 1091, 16, 338, 36178, 17573, 276, 276, 1590, 22812, 324, 33049, 16, 84, 314, 19, 406, 188, 276, 312, 555, 27, 8221, 254, 27, 254, 274, 18, 274, 286, 15, 1427, 2282, 345, 43969, 16, 691, 16, 512, 643, 6311, 2421, 8089, 274, 387, 6423, 496, 4186, 16, 254, 343, 16, 555, 19, 18, 802, 33065, 27, 33449, 555, 8221, 24176, 691, 750, 343, 407, 23, 4186, 5130, 328, 20356, 652, 274, 248, 18, 2910, 19, 652, 5951, 3103, 15, 50, 2779, 6059, 24134, 188, 35798, 274, 432, 15, 26795, 701, 286, 224, 16, 338, 11984, 3059, 5130, 274, 11131, 14, 286, 496, 286, 11131, 84, 16, 312, 2779, 963, 8074, 274, 188, 312, 248, 27, 42526, 512, 254, 18, 643, 20, 18, 18, 28, 248, 16, 328, 13010, 29838, 13132, 28, 18, 36178, 81, 3805, 286, 250, 254, 16, 581, 1238, 274, 12142, 26, 286, 27, 17334, 254, 535, 14, 29838, 338, 276, 274, 27, 16, 13168, 188, 338, 22, 27089, 276, 16, 3609, 8573, 129, 1640, 657, 10825, 6284, 314, 6652, 518, 20993, 20993, 276, 496, 1533, 3781, 3222, 2421, 274, 16, 7962, 27, 282, 348, 338, 24, 4243, 7465, 374, 338, 338, 6342, 2705, 43969, 18, 657, 3102, 323, 286, 1385, 27, 254, 5541, 276, 4742, 3904, 3805, 496, 8887, 286, 1533, 432, 25356, 286, 224, 2779, 1026, 2709, 20993, 20923, 27, 274, 254, 959, 19, 254, 374, 19655, 2048, 387, 30859, 17051, 5081, 282, 254, 1917, 27, 314, 7221, 42526, 2067, 16, 11514, 8709, 27, 1036, 224, 254, 436, 20, 3491, 643, 314, 272, 5245, 30859, 14, 5060, 1676, 14, 254, 3525, 276, 18, 9201, 691, 276, 28, 248, 7811, 15, 22400, 1397, 18, 6751, 432, 254, 254, 248, 374, 33525, 14, 6845, 338, 274, 1123, 436, 743, 254, 42526, 18, 256, 27, 20, 274, 20, 374, 24223, 49, 2048, 2048, 36543, 1921, 3525, 18, 2421, 1948, 701, 16, 16, 16, 286, 14, 27, 22148, 388, 276, 1469, 276, 9282, 21, 10602, 314, 18, 2109, 3904, 254, 254, 2918, 5245, 474, 338, 11071, 18, 274, 1553, 274, 9219, 45, 36178, 555, 312, 27, 254, 374, 472, 11318, 43969, 16, 18, 7004, 701, 16, 324, 286, 338, 276, 27, 56, 2540, 43969, 254, 24, 248, 276, 1222, 25, 20764, 18, 35837, 311, 1533, 24, 1308, 5951, 7580, 27, 1533, 432, 248, 769, 3904, 20445, 188, 16, 248, 14, 248, 254, 1091, 4959, 314, 496, 9360, 16, 4543, 652, 1091, 22400, 188, 22, 14, 286, 22, 417, 11340, 11490, 274, 398, 18711, 274, 380, 7131, 18, 248, 8074, 10945, 16140, 11194, 4543, 37226, 16, 4167, 27, 481, 188, 15, 11436, 1427, 18, 5105, 7626, 254, 27, 274, 432, 7962, 2779, 11131, 16, 26, 16, 286, 6928, 1553, 18, 276, 11, 312, 387, 254, 12013, 27, 16, 46, 23661, 328, 26, 328, 46825, 224, 20764, 276, 537, 16, 20993, 758, 374, 3819, 369, 6311, 43598, 23, 6092, 19971, 374, 35, 254, 276, 652, 274, 18, 16, 20993, 546, 27, 3294, 18, 4257, 27, 276, 188, 7258, 286, 25, 10244, 38192, 616, 40675, 24, 254, 224, 15131, 19, 691, 27, 348, 1963, 14, 19, 16, 374, 1495, 286, 331, 23, 254, 18271, 274, 43969, 256, 11620, 496, 481, 15776, 224, 3805, 939, 7995, 18, 4928, 324, 4168, 276, 274, 16042, 276, 10202, 27114, 3780, 274, 16, 44660, 254, 19, 369, 21, 27, 19, 312, 374, 939, 10052, 473, 348, 254, 312, 44408, 30859, 407, 16006, 977, 4110, 14, 5072, 286, 27, 274, 286, 18, 731, 274, 21096, 286, 706, 21, 27, 254, 510, 2488, 12370, 27, 18, 18, 11436, 19, 25, 254, 3023, 276, 5687, 20356, 18834, 5461, 20993, 256, 19, 374, 282, 14, 12370, 224, 496, 27, 21, 348, 27, 8251, 276, 4669, 4543, 6423, 21, 85, 254, 22205, 1583, 4021, 7678, 39952, 18, 20993, 26618, 12370, 43969, 387, 27, 496, 16, 518, 4181, 37076, 4704, 31435, 84, 30859, 29838, 282, 2517, 23808, 254, 5060, 14, 691, 374, 11, 581, 9526, 286, 276, 348, 957, 7410, 374, 780, 274, 10868, 14, 1090, 4543, 2048, 9219, 274, 11436, 4595, 769, 3551, 691, 9219, 30800, 6131, 254, 254, 274, 18, 286, 35789, 26, 282, 248, 13055, 314, 7960, 276, 16, 2529, 276, 24, 16788, 21463, 36178, 338, 7956, 24, 274, 19, 374, 387, 37, 343, 18, 5715, 20, 13269, 2779, 16, 6059, 4543, 19, 546, 18, 254, 1533, 314, 496, 16, 769, 1427, 276, 11, 22148, 345, 4186, 6980, 18, 11795, 276, 374 ]

[ 1, 18, 18, 3768, 18, 3, 839, 79, 274, 282, 353, 248, 14, 254, 14, 1594, 5786, 441, 4123, 27047, 2497, 22, 16, 47866, 370, 839, 2066, 14, 2514, 6319, 457, 39946, 18, 4028, 5703, 3199, 16964, 16, 286, 2629, 18451, 188, 2187, 24, 1096, 1041, 19, 3867, 338, 21212, 12405, 432, 16, 14, 11559, 5942, 188, 4, 960, 11343, 21, 286, 16, 414, 9308, 274, 1033, 14747, 22, 1033, 3, 53, 16, 1004, 338, 26, 7608, 14129, 286, 328, 14, 7140, 188, 772, 15561, 6104, 9889, 6104, 1819, 4, 403, 27, 806, 188, 26946, 27513, 14, 5837, 33424, 374, 4945, 16, 3561, 1797, 15498, 8934, 188, 27, 1180, 348, 388, 555, 6109, 35083, 395, 26455, 361, 848, 328, 20, 25, 2426, 188, 14, 4566, 14, 254, 5258, 14, 11820, 248, 1797, 321, 650, 282, 14, 248, 2426, 30072, 36949, 328, 1201, 1908, 2094, 91, 17958, 254, 669, 18, 348, 2187, 353, 14, 26946, 19, 1476, 2523, 36949, 6159, 276, 2560, 324, 13763, 416, 4, 813, 2706, 276, 28107, 361, 532, 974, 1091, 2094, 18, 269, 495, 17, 1081, 2706, 269, 2586, 1840, 25, 4807, 665, 5703, 5322, 254, 24, 416, 16028, 23827, 7334, 327, 1078, 4, 1078, 248, 20668, 4667, 1675, 14524, 16, 18179, 2290, 14, 16, 18977, 6901, 20117, 794, 343, 4273, 1479, 254, 1640, 1096, 188, 12, 512, 248, 1212, 19, 380, 343, 8188, 14, 1806, 16, 14, 4566, 1640, 338, 27, 28, 3472, 576, 254, 15, 12680, 944, 15610, 587, 2520, 4, 5258, 310, 1162, 347, 16, 8235, 19, 4, 248, 17, 282, 4, 16, 8683, 361, 576, 188, 7560, 282, 313, 1649, 9748, 19948, 14, 7955, 18, 9590, 41, 48062, 374, 324, 2629, 1246, 374, 282, 2066, 939, 311, 1922, 14, 25, 23, 286, 9423, 254, 328, 328, 657, 11638, 2706, 9595, 2165, 642, 16, 512, 434, 23827, 323, 7334, 286, 3826, 18072, 14, 15, 33717, 15, 1162, 27, 933, 23, 3, 368, 25582, 188, 348, 27, 961, 452, 17, 16, 276, 2023, 4987, 779, 1041, 282, 1916, 254, 1897, 374, 14, 10293, 368, 3609, 1062, 4, 38349, 14, 254, 15, 328, 15513, 28, 14, 15813, 390, 13065, 5322, 0, 54, 8677, 15, 16, 625, 348, 22, 5942, 276, 27294, 19, 3402, 361, 254, 1201, 476, 276, 1096, 353, 286, 16, 18489, 374, 8393, 432, 8159, 26255, 15718, 434, 269, 10827, 1826, 18, 513, 835, 276, 603, 743, 633, 15813, 772, 39946, 657, 748, 1201, 286, 811, 18, 839, 5585, 28, 25, 282, 16, 282, 1180, 16, 1921, 33, 3, 14, 1652, 495, 276, 2868, 276, 428, 14, 3428, 4028, 1051, 17, 1026, 321, 1834, 12638, 3867, 555, 311, 3083, 324, 830, 48062, 18, 801, 403, 254, 18451, 1110, 286, 1834, 27, 4351, 16, 16, 353, 748, 1305, 343, 15, 18, 23, 16, 25, 265, 3551, 21, 16560, 1916, 10003, 286, 6109, 19, 2811, 512, 751, 8340, 650, 374, 43, 313, 4856, 743, 650, 374, 9163, 27, 790, 248, 11638, 790, 960, 1201, 7608, 274, 21, 14, 20, 20399, 327, 839, 7998, 327, 44013, 18, 26946, 841, 1248, 273, 248, 2283, 16, 16, 39753, 1223, 395, 17511, 2300, 188, 254, 4807, 16, 286, 248, 14, 18179, 432, 22, 15813, 18, 254, 2426, 0, 1096, 36949, 79, 3561, 436, 3821, 1391, 997, 348, 6690, 361, 1205, 1096, 1916, 19, 1652, 248, 16964, 15, 495, 276, 9421, 14, 865, 495, 9641, 633, 81, 188, 6101, 28, 650, 390, 20, 781, 18179, 8033, 2046, 14724, 18, 254, 29101, 248, 1580, 273, 1964, 1111, 369, 286, 248, 6429, 321, 811, 324, 11658, 29234, 14, 79, 14, 323, 28107, 3835, 13242, 2449, 561, 188, 16, 2024, 4028, 1322, 254, 18, 18, 633, 790, 939, 27, 338, 15813, 434, 330, 695, 8930, 11989, 188, 747, 3609, 8677, 11638, 5837, 22, 79, 248, 3206, 3133, 4619, 374, 269, 2165, 593, 819, 980, 374, 3, 22, 43932, 801, 479, 3510, 23945, 17, 254, 5241, 5529, 751, 16, 286, 12766, 274, 7697, 276, 4347, 10628, 43076, 27, 21, 5527, 18, 16, 272, 324, 14, 18531, 1396, 1364, 15, 555, 274, 374, 11875, 5569, 14, 561, 47866, 4684, 15, 36949, 188, 276, 28, 16, 45366, 428, 14, 248, 254, 11559, 43511, 254, 16, 11638, 16480, 452, 24, 1435, 595, 16, 2075, 321, 60, 374, 254, 1741, 17, 26946, 323, 17670, 1212, 4273, 13327, 4358, 14, 353, 1096, 286, 779, 1038, 727, 2065, 16209, 417, 18266, 2046, 1201, 495, 274, 403, 30217, 368, 5258, 3300, 27, 32576, 772, 324, 254, 16, 374, 19, 15, 282, 1012, 407, 14, 26, 1594, 20, 19, 772, 510, 18179, 1201, 328, 15, 310, 11518, 813, 348, 4358, 16, 21, 369, 282, 790, 14, 2490, 14, 254, 328, 913, 2941, 387, 32576, 18179, 5258, 7702, 15397, 452, 16, 282, 374, 27, 188, 85, 495, 495, 3, 14, 19649, 26946, 1012, 10560, 2086, 374, 11750, 3831, 3300, 368, 27, 5942, 5897, 3684, 368, 10852, 12426, 3510, 27, 15690, 4173, 18, 3, 12426, 14, 16, 254, 188, 5897, 188, 5553, 28, 5383, 19, 6459, 338, 900, 3867, 10739, 3, 0, 3, 286, 665, 25, 3472, 626, 254, 18179, 1212, 18, 1096, 4279, 2367, 8930, 650, 719, 15848, 14, 2086, 18, 79, 731, 79, 624, 18, 650, 188, 361, 1953, 449, 282, 401, 33897, 1594, 27047, 276, 376, 26946, 4625, 254, 1903, 282, 254, 22, 5258, 1004, 14, 348, 428, 1201, 1652, 9748, 8340, 432, 5527, 324, 4, 22, 1091, 3418, 3133, 343, 6319, 18, 852, 4, 21, 14, 5837, 360, 274, 16, 374, 3132, 0, 1250, 444, 22, 11638, 33717, 11437, 16, 248, 30424, 27, 554, 1500, 432, 14, 338, 14, 15, 92, 22, 3046, 273, 71, 374, 0, 343, 188, 2065, 22, 338, 33699, 11951, 188, 18, 5991, 512, 30308, 813, 20, 14, 7530, 22, 15813, 1012, 688, 1143, 254, 407, 15813, 254, 324, 1766, 24, 14, 16, 20, 188, 338, 41322, 0, 16, 20, 1782, 1248, 0, 43, 576, 555, 10408, 36949, 4, 14, 11638, 414, 403, 310, 13243, 188, 30559, 25940, 36241, 374, 18451, 963, 3270, 2867, 374, 16, 4, 671, 282, 30829, 1156, 769, 282, 16, 20, 353, 1779, 254, 20, 5574, 1250, 20, 18, 18, 2778, 44825, 18, 7439, 286, 282, 5258, 1963, 5861, 6423, 1218, 274, 633, 53, 36949, 4987, 344 ]

[ 1, 3165, 26, 5802, 580, 520, 308, 7917, 33964, 375, 29435, 276, 390, 443, 2987, 27940, 3840, 42695, 7185, 2016, 30130, 286, 915, 457, 610, 555, 650, 282, 641, 282, 1116, 14, 1939, 327, 16, 85, 956, 610, 254, 1385, 442, 14, 14, 15, 452, 276, 726, 274, 1026, 369, 17594, 3149, 457, 327, 532, 311, 29, 327, 751, 15, 274, 7332, 1111, 8642, 769, 254, 16, 3066, 10615, 24202, 16611, 414, 3653, 5017, 40933, 24808, 944, 14, 626, 374, 17324, 311, 36524, 1527, 14, 496, 85, 1083, 353, 2710, 3177, 71, 12421, 4314, 1874, 46423, 188, 836, 4214, 286, 11965, 4597, 14, 4254, 8892, 46423, 900, 512, 9941, 9140, 401, 3879, 327, 7644, 10175, 1874, 429, 282, 282, 688, 4214, 1874, 14, 573, 1851, 8892, 311, 263, 693, 2692, 2057, 1099, 254, 1223, 650, 311, 9400, 520, 254, 254, 7338, 41871, 3574, 18741, 1268, 533, 14, 2435, 763, 3989, 274, 274, 1856, 769, 14, 14, 254, 2770, 1125, 13707, 274, 254, 452, 274, 254, 9642, 282, 9166, 19937, 254, 16, 29, 29, 21051, 276, 274, 328, 944, 254, 1232, 843, 29512, 3653, 2508, 254, 254, 2424, 274, 3228, 19185, 6596, 2177, 10135, 254, 666, 3771, 274, 1503, 254, 15, 53, 1649, 4829, 321, 12183, 73, 729, 2486, 274, 10236, 14, 1499, 4617, 8558, 2213, 14, 286, 44311, 8566, 318, 248, 2094, 4422, 1707, 254, 254, 1111, 2332, 610, 3015, 348, 286, 7338, 286, 2504, 5655, 286, 7141, 8389, 683, 8882, 286, 4143, 417, 670, 1111, 85, 2636, 452, 327, 254, 5655, 944, 345, 343, 48138, 756, 360, 2710, 324, 248, 4344, 37640, 16, 2152, 1111, 264, 1081, 587, 14, 3956, 457, 12421, 14, 17375, 7503, 17324, 9947, 20880, 457, 24, 819, 2228, 13588, 282, 8915, 274, 17769, 4313, 274, 14, 26653, 29, 14106, 1143, 1318, 255, 2378, 5935, 26021, 33859, 18552, 9839, 86, 1837, 520, 248, 16, 14, 417, 14809, 1519, 28826, 263, 1919, 274, 387, 18, 1767, 826, 6795, 12421, 3626, 274, 272, 16, 254, 471, 286, 671, 1004, 6908, 254, 666, 16, 86, 839, 16, 3414, 85, 23888, 772, 713, 328, 7549, 26624, 3653, 11250, 1111, 1116, 1045, 772, 7005, 14, 254, 286, 3202, 3879, 254, 282, 372, 274, 863, 496, 6569, 1544, 374, 276, 282, 944, 4130, 4617, 1440, 311, 533, 2177, 353, 1225, 2636, 248, 14654, 750, 43573, 311, 520, 624, 642, 28, 666, 2421, 1111, 1081, 34269, 14, 980, 9340, 6480, 642, 1422, 254, 5520, 16, 407, 267, 665, 24, 763, 603, 5480, 9125, 8558, 6397, 15, 3653, 2019, 4504, 274, 16, 34577, 5815, 311, 19814, 254, 8149, 1348, 3653, 5017, 85, 1111, 772, 5585, 2687, 84, 8662, 285, 282, 343, 3653, 532, 1992, 9839, 4293, 317, 254, 1402, 14, 321, 683, 1592, 308, 1603, 12683, 8446, 580, 4957, 11, 836, 16, 7726, 1090, 282, 1608, 282, 7150, 286, 19475, 188, 18, 1223, 457, 39193, 274, 2779, 2758, 12881, 1218, 3335, 4500, 1970, 11209, 1111, 2563, 262, 580, 16100, 45678, 871, 14, 19506, 8707, 1767, 47376, 13797, 13343, 5017, 457, 13567, 1996, 1806, 14, 327, 16, 580, 457, 254, 501, 11409, 5926, 407, 4005, 12683, 5498, 414, 1051, 274, 1874, 573, 20215, 3148, 328, 8930, 11066, 5880, 2499, 311, 4204, 671, 763, 4465, 6214, 3972, 334, 3751, 1129, 3223, 12442, 398, 1608, 16, 17324, 2177, 1928, 1910, 1309, 19, 610, 6788, 23755, 650, 319, 7124, 883, 19, 1318, 14, 7141, 25634, 85, 747, 15, 1735, 282, 4617, 23066, 3408, 1125, 1318, 4022, 44473, 330, 455, 18, 769, 2427, 15, 1608, 398, 457, 19536, 597, 16, 311, 14, 1756, 748, 28, 1748, 254, 303, 11119, 311, 311, 688, 2514, 4378, 457, 1606, 3233, 4402, 756, 14, 27950, 3653, 2421, 843, 73, 1181, 6397, 2019, 286, 671, 343, 8775, 758, 282, 1628, 13384, 14, 30973, 16, 5144, 8325, 254, 248, 286, 16, 1795, 248, 25944, 533, 282, 248, 1874, 2715, 403, 30153, 6936, 12818, 276, 457, 380, 769, 274, 16365, 14, 327, 457, 520, 555, 624, 763, 835, 452, 282, 2393, 756, 85, 334, 282, 3233, 24301, 14, 16, 9875, 1322, 532, 85, 282, 1157, 21293, 324, 21646, 5353, 311, 1111, 188, 282, 248, 389, 10587, 785, 274, 683, 37486, 254, 4701, 447, 16, 254, 939, 1111, 286, 663, 14, 348, 3299, 593, 254, 807, 1604, 254, 254, 5017, 436, 1963, 15, 2472, 565, 276, 254, 254, 16, 14, 254, 353, 2349, 6907, 327, 1068, 7325, 1996, 3452, 19515, 28633, 1269, 5802, 14848, 780, 19453, 2450, 22763, 15, 19682, 39193, 462, 311, 12064, 274, 21908, 8873, 417, 3574, 7005, 330, 956, 274, 327, 1247, 19, 34757, 10114, 324, 390, 471, 13034, 16498, 5786, 274, 2697, 15974, 27168, 1938, 4479, 46837, 33964, 254, 974, 1111, 6331, 8069, 457, 22627, 327, 24125, 343, 14, 12721, 3879, 563, 32496, 1795, 457, 310, 570, 4491, 343, 16, 16, 7141, 2636, 3299, 753, 353, 1111, 1116, 282, 3653, 16395, 276, 2177, 25832, 1857, 254, 274, 1042, 327, 16, 6214, 593, 254, 382, 274, 743, 12377, 14, 1221, 14, 309, 16, 16, 2450, 286, 533, 457, 3730, 353, 45454, 1789, 4647, 36681, 11538, 248, 14, 1837, 254, 2024, 14, 34803, 563, 20544, 254, 33964, 1041, 13317, 432, 932, 327, 282, 282, 23957, 282, 944, 39193, 1305, 2906, 348, 4647, 665, 16118, 1735, 314, 286, 440, 25313, 2591, 1116, 975, 14, 772, 457, 254, 3409, 4489, 23798, 16, 15449, 1860, 457, 254, 286, 250, 254, 327, 36964, 3653, 276, 3082, 387, 274, 1385, 15, 16, 1742, 5808, 28158, 282, 2508, 8892, 3548, 665, 274, 533, 28543, 254, 14, 3653, 2912, 282, 7583, 9817, 896, 1514, 2207, 695, 1322, 14, 10092, 248, 390, 3790, 188, 254, 16, 4293, 5431, 2306, 327, 417, 334, 254, 1939, 671, 1563, 285, 8560, 8117, 13027, 6122, 274, 280, 11065, 248, 352, 8892, 85, 3574, 321, 16, 40950, 248, 282, 348, 345, 286, 3030, 282, 15, 417, 7005, 532, 1099, 452, 387, 85, 2142, 587, 14854, 1186, 14, 1225, 6795, 2245, 254, 14, 382, 374, 282, 14, 85, 29, 276, 4701, 1606, 248, 29749, 85, 685, 2963, 11098, 643, 318, 85, 9108, 641, 1756, 624, 282, 254, 282, 785, 28, 286, 8149, 11804, 1111, 10092, 9915, 254, 1141, 432, 5839, 769, 11098, 13733, 471, 15, 286, 3520, 343, 520, 254, 4682, 254, 626 ]

[ 1, 9397, 254, 555, 311, 9629, 12719, 494, 3398, 11177, 188, 2306, 801, 18296, 11532, 16, 282, 394, 774, 3027, 1242, 12192, 581, 17055, 368, 3587, 31360, 441, 4282, 555, 276, 532, 3203, 441, 16, 286, 274, 286, 328, 18, 2497, 729, 16, 327, 324, 6206, 590, 3409, 713, 27177, 282, 3587, 17287, 188, 452, 2072, 286, 4436, 1841, 311, 3899, 2521, 15, 348, 282, 276, 839, 14, 2591, 1899, 3745, 14388, 3961, 4356, 11, 16, 40774, 11608, 931, 324, 254, 14, 2543, 555, 254, 2218, 872, 23407, 3559, 417, 665, 16, 3600, 933, 1212, 12719, 8153, 5009, 452, 323, 26, 736, 533, 360, 286, 729, 254, 368, 14, 274, 452, 16, 16791, 839, 85, 311, 533, 7258, 343, 28, 274, 276, 7623, 38, 248, 16275, 4902, 801, 14, 2408, 1193, 17422, 16, 14, 16, 407, 38917, 4708, 774, 4235, 16, 324, 756, 282, 23859, 7923, 3083, 23412, 3202, 1449, 1045, 587, 327, 513, 931, 282, 14, 12160, 25885, 8852, 248, 20312, 20312, 1756, 311, 19319, 2818, 338, 1841, 4708, 77, 6707, 360, 282, 14, 915, 42600, 338, 1648, 3398, 254, 248, 12347, 6079, 2951, 14, 11197, 327, 276, 16, 931, 399, 2873, 353, 931, 1993, 8870, 5532, 282, 85, 2218, 663, 16, 2964, 7193, 2258, 14, 8427, 248, 14, 1364, 6079, 368, 282, 434, 939, 254, 15250, 311, 248, 390, 188, 324, 314, 20703, 310, 587, 1212, 3402, 286, 13010, 282, 40135, 4994, 14, 3860, 274, 6904, 2153, 6422, 26151, 3398, 6112, 4341, 7729, 254, 533, 314, 975, 188, 774, 390, 188, 772, 37, 0, 16, 360, 4282, 7382, 254, 432, 1281, 38169, 282, 564, 452, 2153, 254, 5212, 282, 3600, 390, 587, 274, 17347, 274, 854, 7623, 1280, 23285, 387, 403, 16, 286, 1863, 282, 11608, 13533, 633, 1822, 772, 2006, 476, 32750, 4566, 188, 16, 27294, 276, 877, 18133, 603, 327, 2657, 11073, 15521, 321, 274, 596, 35785, 16695, 268, 6894, 254, 769, 3889, 2218, 4865, 188, 1659, 3398, 274, 839, 276, 5553, 4235, 282, 5656, 417, 321, 4513, 13227, 23285, 16, 11, 1635, 35523, 6516, 16, 16, 44701, 1460, 839, 368, 368, 9837, 2914, 276, 4532, 24146, 13130, 5256, 10160, 14, 452, 343, 633, 3310, 11762, 8943, 282, 35785, 327, 16, 3587, 10200, 615, 188, 3258, 1663, 4010, 452, 3124, 282, 441, 37698, 16, 3600, 11, 286, 633, 9701, 12761, 11258, 1639, 7552, 286, 343, 390, 324, 7923, 3398, 188, 555, 2153, 9999, 4078, 1212, 836, 686, 441, 286, 7446, 2517, 1884, 3373, 390, 555, 772, 1068, 512, 3600, 325, 4703, 441, 274, 1323, 403, 669, 29591, 3510, 248, 423, 324, 633, 188, 4436, 0, 641, 2449, 37965, 7155, 1315, 740, 403, 3258, 21205, 1648, 14, 22596, 311, 836, 6140, 282, 311, 774, 772, 27294, 360, 22145, 1460, 40282, 16, 4235, 931, 4139, 47828, 254, 5795, 633, 17555, 343, 360, 310, 772, 328, 774, 407, 254, 16, 5427, 510, 274, 14658, 272, 282, 2714, 16, 1755, 587, 248, 7923, 16, 1278, 561, 5666, 17422, 933, 4513, 17194, 2155, 1460, 1678, 2409, 772, 28, 4235, 3279, 286, 16, 7623, 481, 5346, 8852, 441, 587, 16, 5569, 321, 348, 931, 286, 1460, 286, 4024, 23214, 1884, 7923, 14, 8118, 615, 960, 390, 327, 1368, 1063, 286, 276, 555, 772, 555, 282, 8130, 323, 188, 729, 819, 286, 24756, 368, 1093, 343, 603, 368, 436, 1026, 14, 47949, 774, 16, 755, 3621, 11960, 3738, 248, 328, 4850, 3373, 390, 360, 8852, 403, 22, 457, 273, 4850, 324, 439, 4242, 11476, 254, 3203, 5194, 23074, 8112, 2464, 2992, 368, 8969, 276, 2349, 13610, 8899, 324, 310, 286, 643, 286, 918, 756, 14, 274, 596, 348, 390, 587, 369, 15174, 360, 274, 25187, 324, 26421, 3066, 2155, 3133, 16695, 16027, 5827, 374, 1982, 254, 665, 650, 1303, 633, 591, 13860, 286, 457, 6646, 3783, 16, 7617, 1212, 1640, 2961, 774, 3768, 387, 276, 24245, 188, 2263, 3600, 40845, 1938, 1648, 38649, 311, 772, 2705, 839, 745, 1648, 13860, 387, 1460, 22836, 285, 254, 368, 10844, 286, 417, 6053, 360, 4436, 633, 343, 10782, 471, 21034, 6646, 407, 1050, 282, 85, 5129, 274, 5054, 368, 5795, 7100, 774, 16695, 1074, 1572, 3134, 368, 15, 14, 5741, 17422, 327, 14, 865, 3661, 24066, 11048, 4698, 314, 772, 3, 1659, 432, 3835, 1639, 2482, 14, 282, 626, 1130, 13396, 2632, 17347, 348, 10464, 14627, 1993, 2672, 14721, 331, 343, 4918, 8770, 6079, 314, 7345, 2497, 282, 1162, 3134, 390, 188, 481, 9929, 286, 1678, 7326, 3134, 5585, 248, 5565, 25293, 8680, 8251, 34, 1286, 0, 286, 46244, 248, 587, 37601, 16, 3227, 16695, 1596, 441, 327, 537, 16, 327, 348, 1460, 772, 7528, 12347, 8899, 1193, 3073, 642, 327, 1385, 1212, 633, 76, 633, 353, 282, 9055, 16, 9285, 282, 889, 327, 16, 19, 16, 1303, 3600, 513, 772, 274, 2543, 24788, 9837, 977, 417, 19338, 2546, 286, 17422, 274, 254, 2153, 3860, 343, 1767, 2543, 14, 7617, 286, 2543, 1493, 2914, 14, 643, 3310, 1321, 17347, 633, 7623, 5429, 17347, 7386, 582, 2034, 14, 6093, 254, 286, 665, 282, 2517, 273, 679, 11645, 5795, 38, 286, 452, 7193, 5123, 15410, 38, 3258, 274, 1336, 4638, 7623, 5925, 6363, 440, 15, 76, 34081, 417, 3577, 282, 254, 282, 29283, 5041, 282, 14, 11582, 3134, 276, 2591, 2960, 327, 440, 387, 282, 390, 286, 14, 314, 15, 42191, 3751, 2181, 4532, 6206, 7542, 286, 8112, 8464, 274, 286, 5464, 276, 5028, 14, 85, 889, 4680, 33150, 597, 188, 254, 368, 353, 286, 671, 3316, 282, 6353, 633, 471, 368, 19287, 452, 254, 836, 24637, 14, 360, 19, 10872, 6442, 633, 785, 642, 19147, 3203, 188, 254, 328, 2186, 772, 4017, 2824, 254, 615, 276, 13349, 85, 282, 353, 327, 20755, 328, 282, 2517, 1041, 368, 282, 328, 436, 274, 2131, 889, 53, 772, 8946, 16, 7382, 16, 40312, 0, 826, 16628, 14, 14, 4532, 4426, 282, 834, 23464, 510, 16, 14, 633, 872, 3258, 274, 282, 642, 6206, 2304, 4087, 747, 749, 311, 3258, 343, 1516, 390, 328, 314, 642, 2181, 1920, 403, 763, 615, 2951, 11295, 16, 274, 3180, 513, 310, 1423, 4356, 27358, 642, 452, 2662, 1232, 510, 14, 16, 5058, 13491, 669, 30934, 1507, 321, 3203, 348, 188, 276, 9823, 286, 14346, 3778, 343, 633, 24066 ]

[ 1, 188, 368, 282, 16, 933, 327, 368, 286, 785, 327, 5256, 2694, 14, 6236, 248, 328, 286, 188, 18796, 16, 43, 368, 15813, 286, 14, 314, 17397, 1041, 254, 17627, 587, 273, 188, 311, 282, 274, 476, 2523, 8513, 2367, 0, 26, 343, 26, 561, 4458, 20, 1499, 1153, 13102, 26, 4793, 16, 1153, 11263, 1444, 731, 900, 2958, 276, 18637, 695, 248, 671, 671, 7363, 2732, 785, 6408, 248, 513, 18, 11, 2034, 35299, 188, 368, 1125, 3277, 3571, 1041, 188, 607, 25, 282, 3184, 387, 1547, 286, 380, 6939, 348, 324, 1330, 16, 4426, 4045, 12605, 21, 751, 15, 1002, 933, 2666, 4466, 3277, 1663, 14, 3551, 665, 26, 13492, 16, 785, 2942, 7465, 1321, 1153, 274, 4239, 65, 7554, 452, 282, 1663, 4602, 888, 561, 6446, 682, 7541, 310, 14, 865, 403, 3551, 327, 274, 254, 3290, 25, 587, 16, 1635, 3095, 633, 248, 282, 417, 1286, 3956, 324, 555, 310, 7155, 13679, 14, 14, 671, 14, 3191, 436, 16, 23, 628, 6408, 671, 10972, 25, 274, 5322, 4681, 18796, 274, 272, 338, 282, 26, 272, 254, 512, 1521, 15, 872, 1890, 452, 2501, 7273, 555, 31211, 8770, 324, 282, 3184, 1056, 4414, 8513, 9863, 274, 960, 403, 321, 671, 360, 276, 343, 286, 21, 16, 327, 671, 16, 5166, 626, 348, 6326, 772, 4239, 8920, 286, 2586, 3936, 747, 254, 8770, 3233, 256, 2586, 839, 21, 785, 16974, 1610, 2072, 343, 4239, 188, 251, 254, 8513, 282, 274, 628, 23, 1294, 286, 1012, 633, 3290, 29569, 633, 11146, 311, 16, 282, 254, 16, 11214, 22180, 286, 254, 9123, 8513, 368, 20, 587, 1921, 343, 587, 324, 272, 8873, 633, 5445, 403, 286, 3856, 561, 417, 14, 282, 14, 9604, 10972, 915, 9929, 343, 1725, 618, 2367, 286, 417, 1354, 26, 14, 25, 16, 628, 282, 286, 432, 282, 47, 536, 867, 16, 274, 14, 2304, 1516, 23207, 17397, 4829, 282, 276, 22040, 26, 15, 14, 1247, 811, 4442, 286, 2966, 512, 15, 9282, 3936, 254, 2694, 311, 665, 8349, 23, 368, 282, 26, 1052, 26, 327, 633, 16, 282, 715, 14414, 11477, 476, 3184, 13783, 368, 276, 1395, 4239, 811, 254, 1515, 368, 14, 16, 276, 368, 12308, 282, 368, 597, 2501, 35877, 11882, 282, 327, 343, 282, 9828, 286, 15, 3316, 633, 7815, 2214, 1845, 1390, 4622, 28304, 1218, 2245, 25728, 476, 963, 944, 1213, 368, 13492, 327, 321, 274, 254, 368, 657, 286, 254, 14, 282, 274, 3541, 671, 2501, 1052, 633, 2328, 18796, 11343, 2586, 1426, 1041, 12587, 2501, 35299, 7554, 254, 13562, 286, 6287, 8521, 533, 4850, 839, 848, 380, 16, 25, 888, 15463, 633, 9458, 348, 14, 2344, 16, 6408, 1153, 785, 286, 22040, 555, 452, 633, 286, 587, 407, 21, 452, 21154, 16, 5256, 17397, 2543, 633, 1093, 248, 12877, 751, 368, 286, 282, 13897, 944, 839, 4503, 512, 16, 3269, 1153, 6233, 2214, 368, 650, 19, 282, 274, 671, 7148, 272, 2377, 368, 931, 1574, 65, 324, 282, 14099, 311, 665, 2332, 4589, 18796, 16, 1563, 944, 8513, 1390, 387, 4236, 867, 772, 34450, 16, 254, 11187, 848, 432, 633, 348, 872, 274, 27, 324, 2344, 4665, 21685, 2485, 5085, 21685, 1652, 2497, 513, 7674, 633, 14451, 16, 273, 2344, 286, 3202, 618, 9899, 16, 248, 596, 5934, 286, 368, 16111, 26, 1017, 5379, 254, 3831, 91, 4645, 282, 27, 368, 4686, 35299, 16, 254, 14, 729, 18796, 38582, 1052, 1521, 348, 286, 311, 2225, 643, 23, 2497, 274, 6499, 321, 2034, 18796, 0, 597, 536, 21, 8117, 510, 35299, 587, 618, 254, 2445, 5053, 274, 26, 403, 14, 1603, 6902, 3095, 16, 3027, 276, 1514, 839, 2942, 10628, 14, 35299, 387, 35299, 368, 3269, 16, 18, 286, 657, 343, 254, 826, 343, 16, 536, 457, 1354, 16, 5246, 2367, 16, 674, 5256, 3203, 353, 403, 671, 254, 7109, 11567, 1093, 3184, 282, 3426, 387, 276, 282, 17397, 4462, 374, 6255, 14, 7980, 5166, 254, 587, 18796, 12101, 751, 248, 2103, 403, 18903, 5329, 8549, 282, 8770, 669, 21, 432, 15, 867, 321, 254, 368, 1242, 633, 633, 27, 2523, 282, 15, 944, 417, 15, 343, 3683, 1438, 1242, 188, 2694, 188, 343, 4502, 657, 248, 35299, 476, 587, 1491, 7320, 561, 4558, 17652, 1305, 25, 282, 11917, 643, 14053, 11580, 324, 311, 327, 254, 4813, 15, 35299, 2586, 10243, 6995, 748, 2501, 286, 16, 1847, 1903, 3109, 16, 1460, 1153, 6494, 26, 286, 368, 2819, 1309, 8513, 1903, 1153, 254, 1012, 276, 8770, 44367, 1822, 248, 25, 360, 328, 286, 687, 8349, 360, 4442, 368, 5751, 15826, 1499, 21685, 1247, 407, 286, 282, 16, 2344, 1916, 7732, 618, 1062, 625, 286, 14, 368, 16, 5263, 276, 476, 282, 282, 643, 944, 758, 254, 8513, 276, 657, 311, 14, 1247, 3490, 1438, 865, 668, 254, 597, 4163, 977, 563, 35384, 18, 248, 801, 368, 1090, 286, 65, 310, 2041, 2103, 282, 14, 6408, 16, 772, 663, 19, 2974, 5145, 9630, 1330, 254, 1438, 5166, 7148, 633, 26, 282, 1847, 1241, 2056, 19946, 1838, 12100, 14, 2545, 2187, 25, 18, 16, 452, 848, 1782, 768, 826, 324, 8669, 276, 1286, 961, 657, 432, 7528, 633, 14, 963, 282, 5511, 1125, 2974, 387, 452, 3477, 4610, 353, 1817, 2344, 368, 286, 4686, 513, 16, 6902, 3184, 24406, 310, 9115, 555, 11645, 521, 19946, 6803, 19, 1637, 16, 254, 1260, 65, 254, 597, 282, 6750, 9567, 324, 321, 1741, 452, 1438, 368, 274, 3426, 16, 276, 282, 274, 282, 4877, 839, 4610, 19, 286, 4242, 254, 16, 188, 9115, 17158, 11055, 254, 1782, 286, 1368, 188, 2066, 368, 2732, 19946, 12140, 14, 27, 16, 34613, 5322, 2501, 188, 3462, 1640, 12147, 14, 65, 10972, 867, 839, 254, 3265, 8028, 839, 3458, 0, 441, 5362, 4772, 16, 2956, 26, 311, 8112, 3316, 8513, 254, 10276, 1245, 900, 324, 3858, 26, 286, 432, 14, 751, 10786, 248, 25, 16, 254, 4419, 17010, 16043, 338, 282, 942, 4877, 507, 8513, 1153, 1521, 21, 16, 343, 665, 14158, 512, 359, 14, 1153, 311, 848, 1470, 14, 7336, 14, 4042, 3462, 3875, 16, 5114, 633, 4646, 343, 4239, 2367, 4341, 360, 3699, 15, 1919, 11399, 343, 4605, 19658, 1767, 16, 8177, 2152, 343, 21, 311, 286, 7806, 3418, 3778, 1074 ]

[ 1, 1356, 6505, 302, 5318, 90, 65, 538, 65, 188, 28669, 16814, 10424, 7679, 16814, 18293, 875, 804, 647, 65, 10, 426, 12786, 347, 1864, 1369, 9840, 7075, 2192, 9, 1139, 61, 37073, 842, 36022, 7679, 870, 3733, 16, 10, 1554, 604, 6262, 17233, 16, 426, 477, 65, 1262, 2107, 61, 1369, 10, 3226, 7123, 3839, 10, 4757, 11, 7075, 647, 10113, 2757, 82, 6262, 3494, 11469, 3933, 426, 558, 791, 28933, 188, 15, 5216, 47068, 65, 1076, 1827, 4324, 477, 3185, 534, 8676, 16, 51, 10, 1631, 16220, 647, 188, 2192, 8623, 684, 1139, 477, 789, 324, 647, 558, 3185, 8037, 2192, 30723, 8382, 2256, 1358, 1827, 426, 15, 7910, 684, 5, 558, 14, 23842, 75, 16, 6896, 3083, 789, 88, 324, 1711, 63, 1262, 14973, 1631, 65, 7954, 1246, 426, 680, 18, 6688, 1465, 5401, 75, 16, 647, 898, 14, 14, 917, 14, 31, 3083, 9, 14018, 5216, 14, 90, 898, 3737, 63, 26391, 84, 647, 10212, 347, 90, 3226, 65, 1827, 81, 426, 31311, 17373, 16814, 5313, 477, 926, 14, 647, 360, 10445, 751, 14396, 6688, 15166, 681, 7412, 426, 34255, 32931, 784, 188, 65, 1800, 65, 426, 883, 278, 3839, 3933, 426, 6505, 2224, 65, 12639, 584, 784, 11756, 33, 65, 26391, 74, 278, 314, 16, 2255, 16814, 22070, 15, 30855, 14, 17, 90, 2384, 30855, 8623, 3176, 3226, 550, 90, 15, 1992, 9, 61, 647, 6262, 65, 31, 1711, 27230, 43959, 27542, 14973, 90, 684, 1076, 5868, 784, 543, 4759, 487, 898, 324, 3839, 16, 2530, 15, 10, 28933, 14, 3839, 63, 8702, 188, 19, 647, 23, 68, 10, 10, 1139, 647, 188, 90, 188, 14, 3125, 1356, 18, 188, 455, 2360, 2306, 21575, 3494, 1333, 16759, 65, 2012, 426, 3377, 1139, 1067, 43089, 16220, 16247, 7038, 65, 20, 7679, 276, 455, 188, 2192, 647, 25087, 928, 1076, 188, 477, 3839, 619, 6990, 791, 647, 14, 28, 10997, 9436, 1551, 14, 6262, 16, 28933, 20679, 30855, 14, 15, 6990, 426, 604, 65, 1210, 647, 43849, 3839, 2360, 440, 1992, 4757, 3570, 14973, 1262, 6359, 2360, 9, 10212, 4757, 2662, 1631, 188, 1800, 1139, 1369, 1465, 4752, 188, 16, 2306, 188, 426, 647, 65, 1037, 4759, 15, 10, 11, 9431, 30541, 1262, 19032, 426, 1827, 3185, 86, 2343, 804, 278, 3839, 65, 85, 10409, 90, 278, 65, 14, 3584, 8553, 1333, 13729, 3933, 426, 7766, 41220, 2621, 276, 1077, 477, 1079, 18368, 576, 3839, 28933, 10, 14661, 3320, 65, 6262, 5, 10, 21435, 14, 61, 65, 4862, 65, 1720, 188, 188, 85, 1077, 299, 25087, 21, 247, 35654, 3839, 4015, 93, 926, 10, 10, 16, 83, 1510, 15, 37073, 28, 477, 9, 6720, 14, 16220, 65, 2015, 5401, 16732, 426, 90, 28050, 1356, 455, 16, 10, 8488, 475, 14, 7209, 16220, 8018, 3135, 31311, 9436, 18, 5, 188, 188, 681, 604, 513, 1076, 29761, 20, 276, 1262, 16205, 2614, 1139, 3107, 647, 17, 65, 883, 19, 63, 18, 426, 24, 5901, 65, 21, 6720, 15415, 11400, 56, 567, 5141, 2192, 13882, 65, 1262, 2192, 247, 426, 65, 3226, 278, 1160, 567, 7707, 603, 188, 85, 8546, 14984, 1076, 1210, 61, 6505, 61, 188, 8, 804, 7954, 791, 9431, 65, 477, 477, 477, 13689, 10, 74, 5, 3083, 647, 13882, 10, 90, 6990, 63, 16, 3407, 668, 6205, 10445, 3839, 90, 684, 6262, 28, 7954, 90, 426, 65, 247, 426, 18, 567, 3434, 4015, 16, 6896, 15415, 65, 65, 426, 7954, 17, 647, 5141, 65, 30855, 1067, 784, 751, 3933, 842, 16814, 681, 19, 684, 21, 12639, 43849, 426, 5868, 324, 1800, 477, 16, 11316, 188, 8037, 188, 3125, 3839, 1079, 347, 4759, 30855, 1356, 65, 534, 10, 13689, 9376, 65, 6205, 65, 791, 9436, 65, 1992, 426, 426, 2530, 2306, 1508, 647, 86, 41220, 65, 3176, 440, 1465, 90, 543, 0, 647, 8622, 20948, 188, 3880, 63, 82, 188, 188, 32931, 2469, 3226, 426, 61, 3839, 7679, 9, 1356, 10643, 647, 1076, 47068, 1479, 7123, 1574, 6990, 1800, 647, 276, 30184, 1077, 647, 21435, 9, 9, 247, 13997, 276, 15553, 17, 16, 18, 1827, 58, 432, 10, 5141, 647, 16795, 16, 11, 33021, 6772, 284, 18368, 22673, 543, 5216, 18368, 11383, 751, 65, 90, 426, 65, 278, 3839, 15248, 647, 20127, 90, 11316, 8037, 17373, 61, 584, 917, 613, 9433, 10, 647, 82, 2360, 14973, 188, 70, 6262, 5454, 1465, 10, 575, 19, 314, 65, 3291, 188, 751, 282, 4759, 188, 90, 18, 5216, 23920, 1262, 347, 926, 16, 39708, 28669, 188, 16, 647, 188, 409, 426, 426, 2845, 61, 2089, 6990, 21, 31, 26670, 16, 65, 276, 14, 2192, 8018, 10, 804, 10740, 647, 538, 604, 426, 8488, 16, 10, 65, 2360, 24, 2517, 3821, 13543, 65, 3839, 2192, 2614, 534, 2530, 1210, 65, 310, 1554, 15, 7209, 16, 426, 9431, 16, 791, 4324, 16, 188, 3933, 604, 9433, 347, 65, 6772, 1800, 18, 6720, 604, 28933, 1358, 31, 412, 15, 647, 65, 11, 2256, 23920, 65, 6262, 90, 784, 4643, 276, 926, 3176, 16, 10, 647, 5216, 188, 10, 30855, 13882, 4759, 1077, 37073, 2719, 11469, 2089, 8909, 11, 28933, 86, 26, 12573, 567, 5868, 14973, 63, 3310, 426, 188, 2015, 14, 16, 6688, 2825, 1548, 4757, 1356, 248, 1508, 284, 1079, 15, 65, 1508, 3839, 1631, 5, 65, 5901, 65, 477, 426, 90, 3407, 804, 286, 27, 1262, 18, 3839, 647, 426, 426, 65, 302, 3839, 20948, 5216, 875, 90, 11475, 1554, 681, 2825, 11756, 14439, 604, 25159, 18436, 16814, 65, 188, 30855, 804, 4862, 278, 65, 2192, 65, 16, 31843, 13882, 3291, 11, 4759, 4862, 3476, 17, 6990, 3933, 247, 3839, 30541, 9436, 6262, 2883, 3929, 3839, 6262, 3185, 188, 1067, 4, 3839, 2290, 188, 2617, 1369, 10, 324, 7309, 9376, 14439, 5, 16, 1067, 2192, 926, 1369, 30855, 9431, 1369, 3083, 2360, 10, 647, 264, 46624, 27663, 16, 6688, 804, 16, 16, 3185, 347, 65, 95, 647, 3226, 13575, 6990, 5, 324, 23920, 61, 16205, 1217, 21, 10, 20679, 15, 613, 784, 8622, 26733, 1510, 16247, 65, 27663, 1077, 4759, 475, 10318, 1460, 18, 65, 1217, 1242, 1079, 67, 6772, 16, 65, 426, 2192, 1079, 1358, 188, 5401, 4759, 16, 70, 43849, 65, 1298, 29761, 6688, 188, 1076, 17953, 6262, 3933, 475, 65, 8207, 10212 ]

[ 1, 520, 581, 274, 25, 282, 2876, 14, 2202, 2584, 555, 6108, 12480, 248, 9899, 403, 1141, 311, 8744, 248, 14, 33, 85, 14, 254, 6837, 610, 1015, 282, 311, 900, 14, 403, 254, 3707, 610, 33645, 466, 3916, 11327, 16, 378, 276, 432, 188, 248, 439, 4254, 286, 33, 449, 354, 6949, 188, 282, 593, 14, 668, 282, 188, 6495, 16, 743, 43, 282, 1106, 16, 387, 3782, 2275, 16, 31027, 3499, 593, 596, 12622, 843, 285, 282, 6625, 1348, 1563, 1336, 282, 282, 4659, 7176, 28, 481, 615, 321, 328, 248, 12427, 248, 12646, 512, 343, 286, 286, 8745, 16, 521, 254, 2231, 188, 2809, 274, 2809, 618, 3063, 942, 1368, 16, 3236, 457, 11823, 4622, 6108, 418, 596, 2889, 8814, 1715, 266, 6612, 596, 18835, 4, 3602, 380, 274, 311, 403, 16, 343, 3612, 1480, 307, 1480, 533, 28320, 1872, 369, 9473, 2410, 327, 16, 5532, 8, 1860, 2073, 403, 668, 4183, 310, 276, 7970, 486, 0, 7049, 1017, 5511, 18171, 510, 646, 42097, 23308, 5189, 500, 14, 5230, 980, 78, 3462, 4489, 452, 286, 110, 1289, 67, 227, 715, 1920, 729, 26, 343, 2328, 18, 3768, 16, 387, 274, 23308, 2035, 16, 2072, 16005, 327, 248, 9118, 1460, 1493, 852, 274, 321, 3502, 416, 687, 37986, 30990, 20476, 441, 117, 5327, 37, 27, 3435, 248, 40021, 6350, 4801, 671, 19, 254, 276, 3899, 2876, 1910, 8238, 14, 1041, 274, 16, 20543, 3737, 581, 3621, 251, 6881, 2778, 2732, 327, 188, 282, 452, 18, 624, 16, 2130, 3916, 6068, 274, 276, 10022, 321, 11141, 286, 35, 8732, 255, 6108, 10563, 254, 15, 18, 9844, 8770, 5230, 44694, 282, 282, 715, 580, 1936, 2413, 16, 3614, 248, 254, 5146, 1141, 626, 188, 16, 1499, 533, 8, 254, 16, 282, 353, 749, 3297, 10481, 8053, 4317, 520, 18171, 5127, 22953, 799, 3899, 570, 274, 310, 2204, 33454, 615, 286, 273, 4806, 13084, 286, 1193, 219, 457, 5742, 14, 521, 14, 2410, 628, 327, 10047, 457, 13639, 27, 668, 274, 1582, 1074, 16, 282, 708, 248, 16411, 6395, 16, 29, 1250, 343, 1076, 10436, 282, 10794, 43, 22, 1516, 43, 610, 8185, 188, 3899, 4945, 33, 774, 17570, 587, 16, 2314, 869, 729, 8707, 23438, 367, 22, 274, 14, 18, 254, 3916, 310, 34041, 1110, 1872, 14, 16, 811, 14, 2875, 14, 1143, 86, 21659, 38356, 35, 1125, 254, 3737, 16, 91, 17004, 16, 188, 749, 10169, 1970, 3149, 286, 512, 35027, 33188, 40, 1910, 4548, 6211, 14, 416, 16, 0, 2723, 0, 327, 928, 22953, 43, 431, 4, 14, 27447, 2482, 1051, 324, 743, 457, 14, 624, 4254, 671, 21037, 687, 1665, 248, 476, 11, 1247, 310, 1837, 779, 11703, 801, 3988, 843, 266, 20379, 85, 3066, 27343, 974, 1582, 276, 731, 1640, 2893, 688, 14, 510, 380, 476, 44795, 110, 321, 311, 327, 14, 3233, 218, 11678, 1062, 751, 35084, 21681, 188, 3899, 286, 33188, 23050, 801, 16, 521, 1580, 360, 36698, 521, 19, 309, 38356, 1253, 915, 16, 28, 14, 282, 4144, 4, 248, 282, 7890, 593, 701, 314, 254, 254, 375, 587, 587, 328, 35027, 512, 254, 2758, 961, 669, 11703, 85, 14, 436, 387, 729, 18, 43, 53, 6948, 1444, 10824, 324, 14, 6791, 418, 20367, 29, 343, 22753, 33, 17481, 4549, 2966, 8, 18, 218, 1218, 1491, 9734, 7785, 618, 890, 15, 6753, 2405, 35027, 15175, 311, 6847, 3793, 32599, 3964, 8745, 16, 1689, 14, 2314, 512, 16, 86, 188, 6008, 360, 476, 254, 8404, 5246, 4149, 33, 1041, 5325, 35811, 38167, 4848, 747, 7890, 14799, 11678, 327, 1416, 24338, 6967, 4395, 375, 348, 608, 254, 29, 4977, 251, 1516, 311, 5532, 294, 1672, 286, 3432, 26402, 311, 6844, 9375, 18798, 587, 327, 254, 2202, 33, 276, 254, 1863, 353, 8106, 360, 188, 1580, 3335, 13546, 399, 43, 14, 21913, 3899, 743, 17083, 10762, 16, 1630, 254, 375, 5692, 248, 47315, 819, 11166, 18171, 1648, 14, 668, 11, 282, 254, 7148, 6949, 29, 452, 86, 254, 8439, 38167, 262, 338, 14, 282, 254, 618, 432, 14493, 310, 188, 336, 15, 29218, 16, 701, 26, 2057, 9938, 14, 1663, 5514, 248, 353, 18835, 3837, 18835, 27, 1093, 38167, 16, 403, 14, 695, 7691, 18, 14, 254, 734, 310, 16, 4330, 27, 395, 1926, 265, 3925, 188, 961, 729, 311, 53, 788, 15538, 6949, 2405, 16, 311, 276, 390, 5172, 1090, 4123, 254, 2501, 4458, 1640, 85, 1493, 276, 5742, 3095, 476, 4513, 756, 274, 4076, 188, 457, 1294, 403, 14, 286, 274, 307, 1212, 23308, 403, 282, 22264, 254, 3051, 403, 633, 15430, 2362, 772, 8994, 10615, 830, 2635, 248, 6211, 5077, 188, 2410, 36698, 11399, 3748, 513, 5770, 338, 29471, 331, 16, 5325, 33, 324, 1493, 272, 188, 5742, 1672, 85, 8856, 6109, 4183, 25817, 368, 35027, 248, 26234, 348, 2889, 254, 15, 254, 188, 747, 670, 14, 286, 218, 16, 18835, 254, 368, 748, 369, 13109, 2314, 343, 3921, 8262, 9609, 9535, 872, 273, 642, 310, 286, 1499, 254, 4301, 533, 14, 74, 390, 282, 428, 360, 327, 16, 668, 19885, 751, 14, 16, 7014, 615, 5532, 581, 274, 4659, 85, 633, 399, 19226, 663, 254, 27, 188, 555, 282, 21694, 670, 1583, 248, 15877, 85, 452, 18, 3452, 1438, 14, 15725, 295, 532, 16, 2497, 14, 17106, 3290, 2442, 457, 6108, 20, 16, 274, 35084, 276, 5938, 251, 15813, 13079, 24, 283, 188, 38865, 41573, 188, 715, 282, 360, 18835, 11678, 218, 4245, 375, 417, 7950, 610, 15, 18835, 9710, 4962, 457, 4243, 188, 387, 8282, 38167, 944, 4, 44814, 532, 772, 2418, 2214, 8, 27815, 1652, 610, 310, 348, 9501, 14064, 11864, 1038, 1157, 6108, 10481, 7365, 0, 282, 24, 1834, 2515, 1591, 18171, 6108, 14, 23308, 865, 3714, 1427, 1141, 3997, 1685, 375, 20566, 311, 360, 5427, 8309, 418, 10563, 254, 701, 348, 380, 942, 12974, 597, 12420, 3826, 521, 310, 16, 282, 561, 32543, 399, 2411, 713, 311, 19984, 9041, 310, 387, 22375, 587, 1247, 21567, 40642, 4622, 4513, 889, 695, 24, 452, 5321, 403, 633, 23, 1102, 274, 353, 2049, 286, 14, 274, 5891, 785, 28853, 25811, 7398, 274, 2408, 6136, 35027, 4250, 1041, 1212, 476, 254, 286, 6108, 282, 380, 28844, 286, 29, 1273, 4932, 906, 8, 1348, 626, 10886, 3144 ]

[ 1, 476, 276, 1395, 2413, 1872, 7758, 2073, 4282, 2628, 3108, 331, 23, 14, 13034, 274, 324, 286, 16, 328, 35913, 8979, 11570, 254, 10068, 1336, 2780, 2073, 16, 35, 311, 6915, 624, 476, 32442, 328, 1397, 15074, 274, 7989, 1063, 3095, 14, 248, 5919, 729, 286, 282, 248, 26, 2421, 14526, 14, 4311, 1794, 85, 14, 5381, 4524, 85, 2055, 669, 327, 3233, 16, 5049, 56, 6425, 38975, 507, 16, 1401, 10127, 2315, 1841, 6939, 8462, 434, 276, 16, 19, 12330, 26, 248, 274, 33473, 16, 282, 10179, 665, 811, 15, 3144, 85, 4667, 819, 276, 17979, 286, 3108, 555, 15327, 282, 1245, 46715, 811, 8437, 38053, 40, 282, 6824, 13839, 4452, 7008, 624, 669, 360, 743, 14, 282, 2073, 14, 254, 532, 274, 14, 14, 16, 11258, 286, 2008, 2086, 1050, 248, 311, 248, 729, 683, 3371, 8319, 9243, 1401, 327, 18, 338, 769, 1926, 25796, 403, 286, 774, 26, 587, 3199, 462, 16, 353, 25, 311, 311, 1339, 286, 1125, 2320, 1395, 188, 4087, 46439, 13260, 7434, 324, 17522, 841, 14, 2435, 20, 14, 587, 16, 343, 188, 387, 276, 428, 188, 276, 403, 248, 641, 3379, 11831, 188, 14, 9947, 633, 6384, 368, 26, 15617, 14, 188, 7150, 360, 18, 14, 1336, 248, 4452, 1619, 274, 1585, 20367, 3732, 20367, 888, 2033, 756, 30764, 3405, 2843, 26722, 3638, 2780, 343, 5745, 282, 686, 1491, 4, 274, 5919, 16, 1612, 669, 2374, 3956, 11302, 2073, 9197, 3452, 274, 1638, 457, 769, 1268, 37481, 343, 2073, 729, 403, 5342, 3015, 282, 323, 338, 343, 6301, 877, 594, 286, 1916, 1982, 343, 2066, 1682, 3888, 274, 20748, 282, 16, 0, 8756, 286, 24881, 274, 188, 2796, 1637, 476, 2196, 282, 811, 587, 327, 16, 603, 33473, 3248, 5371, 368, 85, 432, 1401, 748, 2055, 15, 16, 22973, 343, 7269, 4832, 343, 1129, 1322, 1916, 706, 286, 16, 865, 939, 274, 758, 27959, 14, 1919, 3427, 1401, 276, 274, 1336, 427, 428, 3768, 338, 2055, 6384, 39022, 15643, 2034, 390, 188, 4226, 6611, 345, 1305, 19956, 16, 282, 1074, 580, 3686, 286, 14, 3437, 36532, 13344, 274, 328, 974, 14, 2688, 14903, 19122, 286, 314, 16, 19, 1336, 6730, 368, 311, 2705, 561, 1401, 28053, 1401, 14, 457, 513, 274, 8920, 2019, 3452, 343, 7008, 3452, 10251, 513, 2876, 286, 819, 254, 338, 13496, 353, 3202, 7609, 3446, 896, 8389, 8446, 510, 44234, 2524, 6758, 449, 633, 327, 16, 12342, 9308, 2034, 1401, 25, 248, 687, 254, 338, 248, 8319, 1668, 11375, 4395, 14, 390, 633, 14, 1824, 2668, 282, 839, 282, 4123, 286, 353, 4020, 324, 481, 324, 16427, 896, 729, 286, 3506, 311, 7362, 390, 390, 2041, 731, 1129, 7434, 4540, 610, 532, 25, 751, 2863, 896, 1972, 254, 7017, 615, 2539, 14, 274, 327, 311, 1218, 321, 890, 942, 1500, 0, 254, 939, 188, 15523, 1213, 282, 16, 14, 27, 328, 954, 4087, 1401, 2086, 282, 427, 282, 15, 2073, 2987, 14903, 512, 2079, 603, 7674, 1516, 20263, 1491, 311, 19, 327, 3715, 14, 11439, 432, 26231, 14, 1063, 4540, 248, 11, 13979, 274, 633, 403, 15, 2796, 417, 15973, 188, 1926, 4105, 2363, 29838, 348, 1247, 14, 13034, 324, 395, 282, 2086, 29215, 1709, 188, 248, 2034, 476, 19, 6939, 311, 20778, 265, 27, 12101, 869, 390, 6490, 10179, 2124, 16, 248, 0, 4824, 615, 1336, 16, 248, 1321, 282, 16, 721, 248, 16, 348, 368, 533, 4432, 532, 10711, 16, 27, 16228, 321, 311, 1789, 865, 14, 368, 1339, 626, 1516, 286, 16800, 273, 274, 254, 12405, 826, 16, 1919, 476, 826, 9197, 1137, 14, 254, 775, 321, 21772, 428, 731, 387, 3437, 254, 9197, 2179, 36436, 5098, 343, 286, 18573, 3638, 3313, 1091, 834, 2073, 1538, 682, 603, 2148, 248, 1002, 286, 324, 11338, 1789, 23757, 286, 10077, 14, 593, 15, 353, 11679, 4740, 24738, 10167, 14, 457, 12382, 21252, 1851, 6477, 476, 311, 26, 15350, 10280, 188, 5983, 324, 286, 1336, 3819, 16, 2343, 2486, 188, 5057, 626, 254, 311, 282, 3646, 16, 3437, 16, 811, 26443, 1086, 889, 7300, 16, 1394, 286, 666, 1116, 338, 15534, 9470, 1041, 6137, 4524, 254, 890, 390, 14, 4254, 18461, 2079, 11111, 26712, 756, 729, 25, 3426, 10670, 4684, 286, 286, 282, 30950, 348, 12570, 14, 4524, 12551, 286, 14, 14, 3539, 12878, 33032, 807, 282, 265, 1872, 286, 9916, 26, 294, 6083, 1090, 1130, 368, 476, 403, 348, 13188, 1002, 324, 3956, 2073, 26280, 1726, 2086, 772, 436, 1851, 274, 311, 729, 274, 276, 15838, 5311, 27881, 1318, 12625, 20367, 14, 1516, 390, 633, 10022, 804, 948, 286, 25, 670, 1305, 276, 272, 28055, 811, 407, 276, 188, 407, 254, 261, 626, 5522, 13715, 282, 30764, 731, 2073, 276, 9080, 865, 1982, 10187, 533, 39419, 282, 836, 286, 417, 633, 417, 14, 330, 7313, 25, 1924, 274, 294, 580, 1401, 286, 3638, 343, 4316, 1305, 282, 42287, 3437, 7383, 274, 1336, 1034, 14, 927, 513, 2003, 1748, 25882, 25, 826, 1903, 18866, 695, 24290, 353, 615, 27106, 7674, 188, 6374, 512, 1140, 633, 612, 33473, 3638, 188, 282, 14, 669, 15155, 15155, 10925, 7786, 24661, 16, 327, 254, 512, 6013, 16, 633, 3108, 2055, 960, 24820, 248, 286, 2746, 587, 7008, 772, 14, 14, 596, 743, 633, 348, 1218, 1948, 1305, 42343, 819, 457, 1926, 520, 4, 85, 3144, 615, 16, 248, 286, 276, 254, 27, 286, 311, 338, 2086, 248, 476, 8389, 500, 1827, 3870, 16, 328, 4163, 669, 15, 3371, 33, 286, 756, 18, 865, 274, 353, 16, 8644, 247, 387, 8566, 5787, 1919, 1738, 17934, 277, 1789, 248, 286, 2926, 624, 274, 282, 16, 1269, 10596, 4507, 12900, 254, 387, 1683, 282, 417, 1401, 1569, 3941, 8042, 16, 729, 1232, 14, 3638, 959, 1395, 457, 47980, 954, 811, 633, 331, 19146, 2463, 282, 27, 14, 19791, 47, 2245, 274, 5060, 772, 314, 500, 254, 276, 420, 9915, 57, 254, 4524, 2413, 16, 975, 369, 343, 597, 1640, 16, 3026, 286, 476, 25, 14903, 14, 328, 12379, 596, 311, 10160, 338, 811, 449, 14, 22412, 7098, 248, 533, 14, 282, 328, 286, 743, 1495, 33032, 2738, 15823, 378, 2591, 4735, 811, 324, 2411, 286, 254, 14, 597, 7383, 328, 3638, 1789, 1926, 311, 3596, 2073, 729, 338 ]

[ 1, 30, 1659, 5225, 1305, 1530, 276, 10766, 1168, 14, 7193, 9204, 19, 254, 1148, 20, 3509, 1635, 281, 890, 4629, 2289, 269, 2917, 401, 18, 1168, 1056, 314, 683, 2258, 12741, 314, 7, 254, 274, 57, 18, 286, 338, 286, 2834, 5116, 16, 636, 324, 188, 390, 254, 633, 20823, 254, 2228, 16, 16, 2124, 2533, 20, 22345, 2258, 4629, 2258, 1168, 12220, 33683, 1168, 839, 687, 19, 274, 1635, 16, 248, 858, 15, 286, 2974, 401, 286, 254, 16, 3692, 248, 2982, 254, 497, 276, 785, 1330, 5381, 1305, 26, 276, 314, 14, 188, 16, 18, 1190, 1530, 85, 12741, 5066, 497, 254, 890, 23716, 14, 7168, 2591, 10596, 188, 2103, 374, 1338, 2148, 4752, 22671, 15, 20823, 14, 2353, 25, 5116, 14, 286, 14, 16, 1305, 254, 374, 1168, 1168, 1090, 82, 8756, 1500, 18, 21, 407, 19, 14, 1770, 28170, 481, 8842, 401, 8113, 11814, 745, 3681, 9967, 2545, 24908, 401, 581, 4752, 272, 286, 858, 254, 16, 444, 286, 286, 8419, 1338, 687, 26, 5164, 432, 269, 2103, 278, 374, 669, 10766, 3405, 3212, 2490, 8176, 2834, 7421, 19, 16, 15, 428, 1168, 1824, 25, 8842, 254, 1985, 11814, 1093, 481, 20, 254, 1168, 719, 8140, 14, 815, 16, 16, 5255, 16, 254, 188, 12172, 5412, 590, 13966, 22, 343, 343, 3584, 85, 2834, 16, 31, 314, 338, 2414, 3781, 3405, 25820, 2490, 16, 1162, 9300, 633, 274, 9516, 3131, 254, 2917, 3131, 19, 248, 314, 495, 30, 4744, 1240, 2834, 2974, 57, 3065, 3104, 7116, 3745, 18, 1168, 4569, 286, 890, 13270, 1921, 282, 5255, 369, 272, 286, 6117, 254, 2287, 756, 188, 26897, 51, 31, 4752, 1580, 57, 18, 37071, 20823, 85, 2628, 10392, 1129, 254, 16, 15, 286, 1338, 7193, 5562, 683, 401, 1338, 2546, 18, 16, 343, 18, 1129, 2917, 248, 4629, 581, 18, 7193, 11427, 248, 1190, 286, 248, 9967, 188, 1423, 254, 14, 273, 495, 314, 36825, 8113, 2258, 21, 12015, 338, 314, 314, 343, 1770, 7603, 1040, 4488, 16755, 1168, 380, 2103, 1168, 1240, 16, 890, 21, 18, 643, 2834, 324, 15014, 274, 51, 650, 403, 2709, 16, 1168, 32059, 420, 14, 5188, 32059, 324, 20, 31, 763, 254, 276, 1168, 14, 7168, 3443, 16, 4974, 314, 269, 18407, 314, 286, 343, 16, 4681, 785, 82, 8140, 11, 274, 188, 444, 481, 14, 40469, 403, 15, 6687, 22, 756, 2330, 10512, 7421, 19, 432, 16, 314, 276, 188, 686, 282, 18, 15, 57, 3193, 931, 254, 2352, 23, 20, 369, 254, 1240, 18, 1168, 3745, 18981, 188, 25, 18, 2917, 21, 2057, 85, 510, 2977, 14, 1168, 254, 497, 343, 497, 3732, 14, 274, 12605, 15, 18, 343, 9967, 286, 432, 8140, 20, 286, 2330, 51, 11476, 29068, 10954, 16, 327, 274, 311, 1338, 6392, 1338, 18, 481, 6088, 1338, 1735, 890, 34171, 338, 1547, 286, 314, 16, 1168, 3509, 1168, 407, 2287, 14, 5224, 18, 944, 16, 457, 481, 1168, 11, 343, 18, 1851, 4717, 1521, 16, 8176, 401, 5225, 22, 18, 324, 14, 16, 29074, 387, 21, 432, 23, 269, 16, 403, 5255, 314, 2818, 18, 5186, 5381, 3131, 2714, 496, 324, 1168, 452, 311, 481, 24, 1738, 869, 1168, 57, 254, 82, 51, 432, 2103, 3509, 2330, 19379, 286, 432, 2591, 436, 1508, 51, 80, 35102, 11929, 398, 1423, 1407, 15, 31, 2414, 11, 254, 286, 2533, 581, 403, 15, 1168, 495, 2258, 16, 16, 274, 554, 1168, 31513, 1530, 16, 2289, 282, 16, 23, 30, 254, 57, 31884, 11367, 343, 14, 188, 380, 274, 5164, 18, 51, 14, 7378, 10637, 18, 1361, 8842, 1735, 1168, 286, 2287, 22345, 2330, 14, 286, 274, 2964, 1963, 16, 387, 18, 576, 247, 2545, 813, 33, 16281, 32059, 6204, 3437, 31, 254, 32059, 18, 687, 188, 22, 1338, 1004, 369, 495, 3324, 32176, 16, 15, 328, 7168, 18, 858, 452, 14, 13156, 3331, 401, 2127, 670, 14, 28902, 3109, 3681, 2533, 286, 387, 274, 18, 18, 785, 30, 11929, 311, 888, 785, 7116, 22, 188, 11, 3509, 16, 3405, 314, 4488, 2352, 11427, 6088, 276, 2974, 254, 16, 2124, 25820, 23540, 5017, 2486, 82, 3443, 2917, 2834, 510, 43060, 1842, 14, 16, 15, 1361, 1168, 4717, 82, 328, 314, 57, 286, 785, 21, 15, 2917, 8815, 15014, 497, 248, 324, 1168, 24908, 11929, 18407, 314, 1338, 5381, 314, 2967, 407, 324, 274, 3405, 269, 30, 533, 10910, 18, 57, 2490, 671, 1678, 8842, 14, 188, 16, 826, 10910, 3948, 403, 26, 286, 2967, 21, 14, 272, 2103, 401, 2917, 495, 348, 745, 7895, 1168, 380, 14, 14, 2600, 4488, 20823, 16, 8065, 403, 272, 278, 314, 1102, 2834, 12, 3193, 314, 282, 7023, 815, 278, 1635, 18, 14, 51, 7, 3131, 2917, 497, 1992, 7536, 2834, 4502, 26, 1899, 8842, 1508, 254, 282, 24908, 16, 188, 2185, 2103, 1635, 1500, 481, 18, 1330, 324, 274, 31, 683, 31, 4722, 5186, 276, 16, 890, 1168, 276, 10637, 10034, 7193, 596, 311, 23, 19, 16, 420, 369, 282, 2591, 2103, 2917, 10512, 14, 580, 20, 6088, 457, 18, 785, 2917, 581, 2287, 276, 481, 40469, 416, 324, 18, 496, 18, 11, 2834, 16, 496, 2287, 188, 576, 14, 286, 3681, 22839, 265, 1305, 51, 1168, 51, 286, 2818, 276, 14, 254, 1373, 2287, 11, 12015, 1956, 6687, 188, 16, 7, 14, 457, 20854, 581, 16, 278, 18, 3509, 254, 20, 1168, 496, 254, 6088, 18, 1168, 1017, 1635, 12741, 31, 432, 8140, 2287, 5381, 3324, 314, 18, 1635, 4863, 343, 495, 27, 2170, 12, 188, 1563, 2623, 826, 2818, 286, 1148, 432, 2148, 457, 3273, 15, 21, 403, 254, 276, 2509, 276, 2013, 16, 274, 2287, 30, 82, 2974, 16, 2148, 18407, 420, 2477, 2379, 1338, 16, 1373, 390, 5328, 35102, 24, 343, 9140, 4935, 343, 10755, 6687, 1040, 1168, 14, 497, 281, 432, 15, 401, 898, 15, 21, 16, 890, 18, 2103, 7, 4752, 24, 4717, 14, 1338, 497, 324, 785, 254, 2103, 848, 3509, 387, 16, 274, 14, 286, 4681, 3437, 254, 16, 10034, 32059, 3405, 31, 496, 590, 16, 18, 756, 14, 1168, 558, 4722, 3692, 14, 274, 254, 14, 10958, 269, 31, 532, 607, 274, 46499, 21, 18, 20, 2353, 10686, 2330, 24, 888, 57, 11, 14, 4681, 26, 1407 ]

[ 1, 353, 11527, 282, 355, 282, 759, 581, 248, 10342, 353, 6492, 512, 398, 452, 432, 188, 5230, 15347, 5098, 324, 272, 16, 1582, 21197, 343, 36104, 1062, 369, 286, 7224, 6408, 8325, 27, 1033, 7338, 268, 348, 9133, 687, 536, 282, 311, 34626, 8014, 33, 3416, 343, 317, 14, 33, 13048, 626, 188, 616, 961, 28718, 324, 942, 452, 14, 310, 5207, 2432, 311, 32452, 460, 5098, 2795, 353, 254, 4426, 11490, 3148, 580, 374, 282, 441, 188, 328, 33, 5704, 4250, 2065, 254, 1017, 338, 772, 16, 3, 2433, 18, 1268, 665, 4429, 5655, 6326, 282, 479, 324, 1789, 10202, 387, 41680, 274, 603, 1847, 6121, 274, 276, 417, 406, 512, 28, 2432, 4429, 368, 264, 28180, 1844, 21815, 16, 282, 6516, 756, 14, 29, 16, 23, 16, 5270, 407, 26, 403, 6079, 309, 248, 324, 282, 9028, 618, 10481, 286, 309, 310, 282, 390, 865, 1606, 286, 26116, 11, 20, 3338, 1062, 3063, 1093, 23, 2795, 282, 17487, 16, 865, 338, 495, 282, 5351, 327, 254, 1153, 390, 1129, 4667, 573, 25, 13924, 2342, 3916, 1045, 7269, 254, 11812, 34766, 188, 536, 1205, 25862, 25593, 248, 254, 14, 10463, 7180, 1533, 15930, 274, 286, 33, 4684, 662, 4311, 1848, 286, 276, 310, 3127, 15, 10238, 1495, 701, 14, 321, 311, 286, 4816, 328, 310, 7269, 1533, 15813, 16, 368, 10202, 8715, 324, 974, 621, 282, 2075, 286, 276, 9184, 33, 1062, 18, 1887, 8177, 324, 16, 282, 6079, 441, 3225, 395, 40477, 10257, 254, 14, 286, 2104, 2348, 594, 596, 254, 14, 1339, 1824, 254, 282, 317, 626, 31541, 513, 273, 11099, 188, 2570, 16, 783, 9664, 286, 20, 8465, 580, 3395, 5257, 2019, 21, 254, 188, 72, 6008, 2989, 513, 759, 1480, 69, 452, 597, 327, 6425, 1623, 368, 14, 16, 6158, 16, 3809, 21, 12068, 1015, 314, 748, 8758, 5150, 276, 563, 15722, 802, 5270, 3608, 27875, 22395, 3646, 14, 618, 353, 327, 36971, 7183, 16, 276, 34778, 16, 452, 1362, 343, 3453, 1840, 16737, 665, 327, 1336, 625, 1789, 16, 387, 1253, 286, 11174, 372, 16, 3783, 555, 436, 536, 348, 28, 3998, 596, 6113, 650, 3026, 2835, 324, 7383, 14637, 434, 6121, 310, 368, 3225, 368, 248, 338, 39973, 5552, 10481, 1157, 7136, 4311, 4503, 5655, 367, 324, 15, 272, 593, 310, 16, 7224, 4269, 14, 555, 324, 633, 9382, 33, 1707, 21, 188, 390, 555, 2842, 573, 1013, 328, 1525, 593, 16, 28718, 963, 563, 933, 4149, 286, 310, 276, 8325, 19, 4076, 6121, 286, 621, 5741, 2731, 414, 9148, 328, 324, 15, 536, 274, 431, 19859, 14414, 642, 188, 2314, 286, 390, 643, 11841, 7501, 626, 338, 33, 686, 1093, 665, 513, 785, 8418, 286, 248, 403, 248, 403, 7183, 272, 2210, 2104, 0, 4377, 5741, 311, 9828, 276, 2497, 254, 2721, 368, 16, 188, 1619, 282, 603, 9113, 1057, 772, 2626, 417, 6000, 188, 286, 276, 512, 6492, 9163, 2835, 1596, 14, 368, 2950, 403, 476, 974, 286, 43, 48148, 310, 9127, 188, 980, 254, 16, 30279, 188, 327, 5098, 3225, 8715, 274, 282, 4429, 434, 1493, 11129, 24208, 248, 5257, 1991, 286, 327, 8251, 11129, 5659, 432, 390, 1311, 6948, 432, 883, 1845, 310, 576, 324, 286, 772, 1074, 1726, 13846, 18, 1525, 324, 311, 310, 1322, 254, 188, 43, 671, 14, 188, 1213, 7180, 188, 368, 43, 715, 2949, 310, 2080, 1033, 13725, 671, 6730, 17083, 650, 751, 248, 11812, 14, 16, 1787, 12068, 20, 668, 1755, 1328, 536, 16, 3127, 839, 759, 14195, 3398, 7414, 6326, 4422, 254, 432, 1726, 311, 8043, 4605, 1037, 2314, 3621, 1689, 11668, 65, 274, 282, 19329, 3405, 324, 3713, 580, 748, 26, 324, 8498, 4442, 12068, 532, 368, 3, 324, 188, 470, 33, 495, 1037, 6376, 43, 1817, 533, 628, 6814, 17952, 324, 1897, 11258, 580, 16474, 1602, 3689, 1456, 900, 663, 16, 324, 1668, 17, 2408, 17155, 311, 286, 615, 5307, 1037, 2367, 7605, 3, 254, 7605, 580, 276, 624, 324, 254, 668, 368, 839, 852, 1919, 1480, 343, 47723, 432, 2672, 8010, 22548, 865, 573, 441, 3801, 9220, 454, 2523, 274, 452, 47723, 411, 403, 14, 4422, 17672, 2332, 372, 16, 2546, 4277, 28718, 961, 321, 454, 596, 668, 8464, 407, 27, 3612, 5659, 310, 35035, 338, 311, 254, 20585, 27126, 254, 27126, 603, 286, 12274, 600, 14, 3407, 327, 900, 286, 324, 436, 1130, 2631, 403, 27, 310, 286, 403, 12068, 7338, 12551, 29523, 403, 748, 353, 327, 594, 403, 729, 188, 18, 254, 15125, 6000, 18, 4962, 324, 32837, 14, 1102, 1033, 311, 36971, 321, 5085, 785, 13773, 1652, 32452, 5830, 286, 13541, 29, 10578, 4250, 29939, 1213, 597, 701, 35877, 865, 403, 188, 536, 286, 2214, 742, 403, 286, 513, 14, 1038, 343, 254, 2523, 1322, 4987, 282, 5741, 3843, 763, 665, 16, 454, 830, 1460, 274, 1017, 3834, 343, 596, 779, 6376, 8033, 2956, 37, 2102, 2795, 324, 6932, 10099, 1540, 432, 48148, 16099, 2144, 254, 1250, 625, 248, 248, 324, 2332, 772, 16, 772, 2314, 11454, 865, 12068, 1970, 311, 17155, 441, 353, 5285, 274, 436, 772, 756, 15, 3637, 276, 4528, 276, 2244, 33, 16, 14, 1479, 1547, 31977, 625, 1362, 2628, 417, 5098, 33, 14, 1089, 14, 327, 7250, 5961, 22395, 1623, 1842, 5085, 368, 7709, 27188, 7338, 282, 14, 769, 310, 1649, 254, 759, 254, 282, 2107, 27126, 19, 772, 1397, 248, 1362, 263, 321, 5897, 15, 8033, 742, 7864, 997, 7338, 625, 16, 1321, 24, 248, 8065, 1125, 663, 747, 12603, 387, 282, 5098, 510, 3070, 26, 2218, 960, 1328, 16, 1495, 756, 6206, 6158, 1090, 20532, 470, 555, 933, 4428, 2842, 403, 0, 16, 31789, 16, 17158, 4422, 536, 3006, 286, 282, 311, 272, 454, 687, 641, 9163, 272, 1787, 286, 2835, 11, 272, 311, 188, 27, 9991, 1668, 310, 14, 8849, 14, 785, 310, 8282, 16, 71, 286, 324, 188, 748, 3617, 16, 14, 321, 248, 4325, 254, 2795, 713, 314, 2858, 17952, 248, 43, 3427, 1777, 16, 13905, 5925, 668, 314, 1323, 188, 274, 10191, 1256, 34538, 417, 282, 4429, 6948, 21197, 328, 11785, 6376, 15, 282, 276, 7605, 33, 431, 343, 2286, 248, 7526, 4907, 2626, 282, 2957, 532, 188, 436, 3127, 26, 188, 4698, 2835, 16, 2066, 16, 633 ]

[ 1, 1845, 1395, 1045, 751, 390, 85, 12340, 2517, 8147, 1903, 5767, 20014, 276, 1212, 417, 5952, 4541, 9364, 2951, 1339, 781, 32651, 1090, 3759, 1115, 8583, 6444, 388, 324, 282, 37652, 286, 0, 481, 248, 38969, 3830, 311, 17980, 16, 520, 747, 581, 663, 4688, 20549, 27959, 282, 14, 2041, 14, 1945, 3396, 390, 274, 460, 6898, 487, 16, 0, 22009, 248, 403, 841, 41352, 1006, 1919, 22, 796, 33264, 2893, 274, 14, 2780, 2942, 1711, 7299, 551, 9991, 248, 8386, 1963, 321, 254, 344, 14, 274, 276, 15677, 1640, 282, 274, 8147, 38010, 1441, 252, 463, 274, 1574, 254, 16, 274, 555, 24, 282, 1652, 436, 432, 7421, 2504, 5798, 7697, 669, 555, 6650, 963, 781, 254, 2345, 1770, 15621, 39864, 801, 30953, 16, 12183, 712, 314, 3748, 642, 457, 665, 16, 274, 4422, 756, 286, 24308, 4967, 3144, 6029, 17804, 9043, 274, 2969, 254, 533, 2038, 4559, 248, 314, 323, 5998, 282, 25369, 6797, 254, 6797, 3989, 274, 2675, 286, 1130, 16, 348, 1858, 3095, 3198, 781, 2181, 248, 2424, 85, 16, 254, 23090, 188, 282, 286, 26779, 1115, 254, 327, 37652, 4672, 3093, 16, 12033, 1919, 3134, 286, 38969, 254, 1336, 7779, 1180, 248, 343, 348, 276, 248, 3228, 10419, 17342, 2746, 307, 1336, 6217, 729, 1903, 11098, 18126, 254, 10419, 248, 360, 20799, 282, 327, 2950, 254, 276, 44, 457, 3192, 2218, 3364, 4235, 16, 14, 457, 16, 2185, 452, 4773, 353, 22389, 14, 701, 254, 13562, 3430, 3814, 282, 13238, 14, 16, 1260, 286, 248, 24906, 254, 282, 16, 2038, 16, 314, 888, 2626, 254, 2622, 1982, 368, 282, 360, 452, 3580, 1288, 18916, 2211, 939, 28438, 1015, 3575, 251, 23758, 11023, 358, 286, 11490, 44, 6797, 23090, 460, 324, 2042, 343, 19512, 343, 282, 87, 434, 11042, 4967, 2977, 390, 9051, 407, 4360, 19844, 4756, 26102, 311, 301, 1212, 268, 248, 311, 2148, 460, 254, 16897, 18715, 1652, 327, 407, 34, 14, 5767, 21955, 343, 872, 14, 16, 286, 368, 695, 311, 276, 839, 1304, 561, 865, 274, 286, 248, 8147, 403, 13546, 52, 10419, 8694, 5464, 6349, 274, 2702, 735, 41352, 597, 254, 1408, 563, 188, 343, 8960, 30289, 286, 2133, 10812, 39134, 14083, 2374, 248, 2086, 7779, 16, 434, 905, 323, 597, 2552, 368, 288, 457, 3134, 580, 14, 33340, 19188, 4915, 4699, 4801, 2662, 15677, 3089, 248, 10353, 10280, 2731, 15336, 16, 561, 254, 1963, 476, 961, 1303, 4919, 457, 85, 248, 14872, 7160, 5464, 1258, 22009, 9051, 13571, 476, 24854, 314, 1782, 274, 282, 4301, 2066, 15677, 248, 4058, 476, 17704, 1142, 5998, 286, 4694, 188, 520, 29751, 7052, 248, 2286, 3083, 328, 343, 17858, 16, 1390, 2207, 8117, 28241, 254, 14, 274, 20416, 942, 3779, 683, 276, 4244, 417, 944, 603, 324, 669, 24, 559, 8960, 248, 16, 10216, 311, 452, 282, 16, 24706, 313, 5192, 282, 5998, 188, 5995, 286, 14, 282, 286, 368, 14, 16, 311, 254, 1668, 1297, 254, 10280, 23690, 3532, 251, 781, 14, 16, 457, 286, 286, 2996, 1401, 19188, 781, 16755, 16, 324, 14, 4002, 6544, 452, 4873, 3379, 1219, 15588, 282, 27167, 248, 40456, 1401, 311, 33317, 254, 313, 7656, 7067, 481, 343, 944, 2049, 28438, 1129, 671, 276, 368, 41352, 343, 274, 44892, 46196, 11776, 4889, 92, 3135, 460, 729, 276, 16, 5769, 14492, 42, 3677, 254, 5702, 1582, 311, 282, 282, 3916, 23090, 274, 7470, 16, 2818, 997, 321, 15677, 5952, 2868, 755, 1035, 248, 616, 14, 9751, 1862, 328, 343, 1972, 19250, 321, 701, 274, 91, 7859, 3, 286, 274, 418, 254, 6119, 520, 9259, 188, 853, 18126, 1241, 4741, 327, 36277, 0, 409, 15359, 41352, 2969, 7067, 713, 2622, 248, 38969, 282, 452, 276, 1963, 309, 274, 9956, 403, 476, 10280, 1234, 1339, 1308, 14148, 276, 13283, 14, 1201, 33, 343, 2038, 7023, 4856, 16, 328, 5518, 311, 248, 274, 14125, 2868, 46087, 282, 387, 274, 3437, 38969, 14, 251, 248, 10794, 14, 9714, 16, 286, 781, 14, 23090, 46087, 254, 390, 274, 1996, 2722, 751, 9956, 4244, 6727, 15, 313, 23196, 16, 11668, 278, 282, 683, 2038, 1444, 250, 6797, 10419, 4003, 5613, 1469, 997, 5998, 24308, 2449, 628, 463, 4002, 1125, 1056, 282, 1648, 311, 1826, 2323, 248, 10087, 1017, 11846, 16, 1052, 12387, 671, 2211, 248, 441, 19188, 917, 2584, 188, 254, 743, 307, 276, 274, 6545, 2517, 14, 4917, 353, 17980, 750, 2893, 254, 9473, 248, 387, 19064, 85, 2323, 85, 1914, 2734, 86, 1683, 792, 781, 740, 247, 252, 3355, 16, 5998, 14, 4058, 254, 248, 11268, 7023, 368, 328, 33340, 615, 4002, 1683, 624, 85, 274, 16, 286, 282, 188, 28, 254, 25783, 434, 888, 188, 15677, 1057, 4698, 4941, 254, 417, 642, 22456, 1091, 6797, 1004, 5121, 248, 4065, 2640, 248, 3473, 8555, 17627, 38057, 311, 6690, 10280, 387, 15677, 1637, 248, 1516, 286, 368, 2323, 14, 274, 282, 54, 343, 10216, 7208, 1243, 668, 286, 626, 52, 309, 470, 7262, 963, 26866, 1919, 457, 1258, 286, 15453, 1864, 836, 512, 14, 2710, 311, 254, 327, 679, 2502, 10732, 324, 3809, 345, 387, 554, 323, 16, 274, 13053, 282, 387, 432, 425, 16, 27390, 2187, 580, 16, 457, 248, 486, 633, 16, 1770, 8020, 9329, 368, 328, 825, 615, 2630, 483, 274, 900, 5937, 800, 8375, 1093, 1869, 52, 360, 296, 254, 2035, 16, 274, 1738, 5702, 1438, 616, 313, 616, 348, 3136, 6104, 282, 457, 327, 14, 2489, 29281, 2194, 626, 687, 4424, 14, 16, 32047, 403, 520, 274, 436, 254, 701, 327, 11903, 29, 24, 14, 3524, 365, 5732, 0, 1368, 2023, 41352, 19188, 1499, 274, 1339, 4002, 19188, 14, 286, 248, 2023, 463, 2086, 14756, 14, 373, 1664, 941, 31813, 2530, 378, 16, 14, 15516, 254, 188, 1726, 593, 1997, 2065, 33340, 16, 12238, 14, 4967, 248, 311, 687, 4131, 254, 3925, 274, 22, 15677, 16, 481, 248, 520, 188, 14, 3652, 248, 520, 254, 31520, 311, 826, 368, 32834, 19382, 1903, 368, 460, 8112, 24058, 2941, 597, 311, 825, 688, 313, 584, 915, 14, 432, 274, 327, 3830, 9439, 4897, 1938, 8583, 10473, 21957, 345, 248, 616, 2757, 2181, 282, 4679, 1288, 15, 2646, 35079, 9152, 23090, 34634, 85, 9792, 348, 1851, 2019, 33340, 14, 274, 321, 457, 254, 15804 ]

[ 1, 7684, 715, 40061, 14, 16, 4713, 368, 10646, 1385, 23357, 4994, 10011, 3661, 507, 47958, 616, 5153, 10650, 274, 16234, 8660, 931, 286, 27, 14, 1225, 254, 671, 14847, 16, 1508, 286, 15, 3326, 19511, 774, 14, 15, 272, 11620, 276, 2956, 4297, 5322, 268, 338, 11527, 286, 3753, 5861, 14, 1756, 338, 41204, 8317, 47142, 4021, 7583, 10679, 4408, 6793, 27739, 1241, 20208, 457, 669, 343, 800, 2148, 276, 286, 862, 8534, 5957, 264, 12209, 317, 695, 248, 274, 368, 26, 327, 13286, 336, 27, 8660, 8688, 3536, 12375, 286, 4867, 348, 282, 6751, 2838, 6044, 6786, 6667, 533, 47353, 286, 15557, 4, 555, 686, 43560, 35814, 16, 254, 14, 3378, 27, 12957, 14, 4541, 1853, 45324, 343, 8660, 327, 2449, 1057, 14, 7148, 4671, 800, 310, 2048, 14, 2341, 25324, 7895, 1885, 294, 23918, 286, 254, 27, 2507, 274, 248, 23, 274, 274, 254, 272, 9017, 1625, 383, 4584, 3614, 4032, 1834, 16, 26012, 12101, 282, 21, 1656, 4282, 188, 3371, 9298, 20208, 2341, 8061, 7221, 314, 769, 1469, 286, 16, 254, 960, 4532, 14450, 7674, 1245, 27, 7005, 2489, 686, 20208, 274, 581, 301, 5287, 3367, 282, 321, 248, 387, 449, 618, 286, 47044, 4184, 7478, 16, 27739, 286, 15, 2079, 282, 890, 836, 286, 347, 2079, 85, 1245, 15735, 1017, 27739, 4347, 37, 447, 6786, 4020, 254, 1063, 16, 13041, 1889, 248, 7439, 27, 595, 3753, 254, 254, 286, 311, 4833, 16, 16611, 328, 43238, 327, 9270, 466, 452, 800, 9332, 12061, 2362, 254, 434, 45890, 14, 276, 356, 274, 9332, 9487, 18333, 16, 7691, 7736, 13294, 1735, 800, 286, 18901, 2023, 22986, 939, 254, 939, 4109, 1508, 14253, 1071, 819, 1305, 2504, 7328, 87, 14, 16, 282, 403, 2341, 27, 494, 85, 324, 14, 3299, 348, 9243, 6334, 669, 7060, 14, 34637, 4578, 30743, 380, 324, 2838, 6280, 248, 6521, 683, 327, 282, 715, 13434, 2499, 14, 6241, 529, 286, 1735, 18404, 1625, 374, 18, 20208, 27, 286, 5485, 44907, 4168, 17805, 476, 14388, 16, 1508, 16, 3505, 14, 6320, 7524, 47044, 555, 286, 616, 1278, 42383, 657, 686, 2048, 7212, 479, 836, 671, 8462, 20208, 4153, 248, 18, 35835, 9938, 407, 3059, 254, 26360, 7282, 2341, 328, 10477, 286, 11648, 2823, 8996, 6524, 1834, 274, 4713, 432, 314, 319, 286, 8302, 18331, 18429, 374, 715, 13279, 2464, 2666, 16, 10638, 188, 31656, 13182, 248, 254, 1260, 22282, 512, 510, 695, 276, 6444, 7328, 10608, 2507, 4713, 468, 1065, 931, 286, 669, 16896, 15201, 1533, 1533, 274, 286, 348, 370, 7969, 2957, 17148, 367, 3881, 1834, 4713, 2449, 4163, 274, 327, 4859, 931, 272, 4766, 16, 2477, 2335, 274, 1358, 336, 403, 652, 274, 6667, 407, 15002, 16611, 338, 4260, 15031, 327, 3413, 6480, 20, 327, 2462, 1470, 2002, 596, 12490, 254, 3587, 595, 2048, 301, 14, 20909, 8317, 35814, 615, 14, 35, 15, 272, 310, 14, 5805, 274, 1350, 254, 28, 3753, 2120, 47142, 286, 14, 2341, 1845, 880, 10073, 2504, 18, 4578, 254, 2683, 20, 1834, 390, 8251, 28419, 6552, 40966, 254, 5672, 1068, 4916, 3326, 5968, 6635, 248, 27683, 432, 248, 2966, 23, 14253, 3233, 310, 4005, 20075, 17880, 16, 14, 3321, 9332, 5630, 8248, 1260, 37026, 5032, 407, 387, 452, 23594, 188, 428, 2057, 1827, 2504, 274, 254, 324, 7783, 777, 84, 29991, 417, 25126, 16022, 14, 4578, 985, 3957, 2701, 16, 16, 14, 9243, 1834, 457, 274, 27, 248, 615, 9205, 7504, 188, 7005, 4184, 555, 274, 3413, 348, 16022, 254, 5077, 6081, 5557, 407, 14291, 14, 1201, 10073, 669, 254, 17539, 282, 2000, 3881, 616, 587, 311, 972, 1145, 286, 16, 13639, 254, 274, 276, 28419, 4335, 348, 1128, 22574, 343, 0, 16, 22148, 16, 5495, 282, 343, 2502, 14, 595, 14, 294, 671, 254, 47142, 188, 1242, 47142, 7957, 328, 47142, 6088, 282, 618, 14, 5980, 254, 188, 248, 254, 23357, 286, 388, 248, 330, 16, 47142, 34543, 16, 2231, 254, 4584, 328, 276, 6601, 25852, 5699, 9631, 3881, 347, 4, 394, 343, 2248, 282, 1074, 22966, 248, 188, 380, 756, 74, 2363, 924, 663, 274, 931, 254, 18, 286, 282, 28, 324, 6851, 10801, 432, 254, 4707, 407, 45239, 687, 4032, 20208, 348, 34, 596, 47142, 29206, 17117, 6169, 1530, 188, 14732, 4184, 1903, 2490, 1728, 16, 338, 28419, 286, 432, 4032, 615, 2341, 272, 14, 14918, 4337, 618, 512, 43691, 11476, 2341, 7587, 650, 9243, 1364, 188, 254, 4009, 713, 2949, 20185, 338, 17627, 10776, 1545, 390, 269, 254, 11500, 1767, 11648, 26, 388, 616, 248, 34, 14, 254, 53, 45984, 29095, 1547, 9332, 905, 8317, 434, 310, 16, 380, 1694, 14, 16, 695, 69, 22986, 286, 15, 25324, 188, 1767, 2072, 274, 37, 276, 6693, 486, 15, 13178, 4408, 25330, 7328, 22574, 16, 22, 254, 3217, 314, 27683, 10800, 481, 254, 16, 311, 343, 1834, 276, 729, 4713, 1081, 3068, 37026, 274, 20, 286, 14, 2706, 510, 388, 274, 314, 1357, 40388, 1212, 2949, 254, 5656, 20, 254, 16, 1625, 324, 274, 5044, 276, 282, 14, 17591, 188, 857, 286, 25324, 518, 2365, 4032, 282, 1896, 85, 2490, 663, 336, 432, 19773, 5537, 16, 2341, 14, 310, 623, 7916, 16060, 3569, 10711, 1162, 2705, 1964, 16, 432, 10073, 468, 9332, 16, 4653, 14, 2443, 7761, 16, 963, 14, 3413, 8317, 394, 274, 7065, 282, 2523, 8317, 254, 497, 1393, 14, 5322, 8325, 436, 254, 1834, 5557, 13182, 254, 27, 254, 16062, 615, 2462, 11, 545, 6667, 800, 37882, 2537, 276, 248, 1090, 595, 13659, 4376, 9825, 274, 671, 407, 311, 26, 2114, 42765, 8864, 1278, 476, 16, 14, 7005, 2823, 272, 286, 22574, 22180, 16, 5245, 47142, 13225, 616, 14, 913, 688, 18012, 4433, 311, 254, 5346, 188, 14, 254, 1042, 4577, 274, 324, 2964, 327, 30772, 8317, 1530, 380, 2168, 327, 286, 695, 853, 9300, 5279, 2362, 28419, 9646, 512, 407, 327, 37, 939, 15, 8504, 248, 3458, 2072, 276, 2365, 369, 11, 276, 15257, 3642, 403, 254, 16, 274, 597, 5210, 4337, 432, 1956, 9664, 14544, 282, 282, 15, 343, 1394, 1834, 4408, 2374, 457, 9298, 6241, 16, 274, 476, 324, 597, 16582, 387, 14, 0, 4532, 2287, 15, 254, 328, 327, 16, 353, 819, 11781, 3879, 4569, 16, 14, 24774, 254, 286, 45239, 16, 2086 ]

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

[ 1, 30557, 8325, 2779, 254, 476, 1142, 13042, 313, 618, 633, 2497, 27, 2632, 35, 311, 274, 510, 4877, 4414, 347, 3419, 587, 343, 2779, 286, 368, 274, 615, 432, 33189, 14, 286, 5532, 2019, 17367, 9118, 44301, 27689, 872, 27, 407, 274, 5638, 387, 533, 30978, 19, 7174, 688, 19, 2348, 1460, 11097, 4285, 4632, 327, 188, 274, 4189, 387, 188, 274, 452, 254, 4566, 15856, 5894, 248, 188, 22316, 16, 1963, 27, 2408, 311, 25400, 17, 274, 6158, 7733, 1640, 324, 25, 6702, 27, 1074, 40263, 274, 511, 1431, 2328, 368, 254, 276, 4763, 19, 16, 44301, 330, 510, 2560, 14403, 286, 1033, 8029, 248, 5620, 3129, 19, 815, 274, 286, 1114, 1852, 13284, 19, 2549, 188, 254, 3123, 188, 254, 10, 21390, 407, 330, 3541, 432, 3123, 16, 311, 274, 414, 2642, 4992, 4865, 10301, 330, 343, 19, 5697, 618, 254, 1181, 512, 40305, 14214, 807, 21488, 348, 7422, 16641, 248, 276, 7400, 1748, 22836, 7400, 311, 369, 16, 343, 597, 324, 596, 3405, 28, 22481, 16, 593, 330, 1423, 11094, 4171, 27, 10870, 2288, 530, 188, 380, 24173, 650, 4603, 4932, 1460, 40305, 1336, 2715, 254, 8129, 16641, 330, 330, 328, 23, 1678, 188, 590, 11750, 348, 18, 19, 1214, 5553, 865, 28, 7400, 2094, 1912, 530, 35, 10840, 327, 1460, 39480, 561, 21194, 807, 286, 330, 321, 1545, 14, 327, 188, 28171, 310, 4229, 1399, 3378, 353, 1391, 14, 496, 3536, 10187, 756, 47639, 811, 5114, 618, 248, 603, 13042, 16, 4603, 4242, 4236, 618, 449, 597, 188, 328, 21611, 772, 188, 282, 16, 16, 5713, 14, 436, 4073, 254, 10240, 286, 16285, 42, 27, 276, 286, 1748, 407, 254, 633, 22404, 4144, 830, 2094, 276, 21, 22567, 8367, 254, 282, 276, 254, 8744, 14403, 254, 2518, 830, 27, 19, 23027, 36754, 11097, 4156, 9806, 826, 22404, 16, 11, 13042, 2348, 2518, 311, 286, 3123, 10801, 2187, 27, 13868, 1754, 12425, 16, 27626, 2107, 14, 22404, 188, 6837, 2353, 3123, 8398, 18, 188, 1920, 16293, 14, 889, 274, 4306, 1157, 4227, 511, 26446, 27139, 1525, 3198, 3123, 944, 1021, 2006, 188, 3123, 1362, 16, 3402, 11929, 18, 842, 6476, 5114, 633, 9713, 9453, 34163, 12270, 2409, 23539, 511, 13042, 35, 5384, 286, 533, 4188, 13944, 254, 328, 14, 13042, 1623, 511, 3184, 18, 731, 274, 370, 3123, 3783, 188, 18, 972, 274, 9739, 348, 282, 2518, 530, 254, 14, 14, 476, 1585, 273, 276, 1815, 3123, 942, 1988, 369, 890, 4306, 19, 945, 3001, 573, 10550, 282, 6476, 23, 1460, 36749, 2943, 33889, 300, 1557, 14603, 10878, 330, 32750, 7636, 815, 533, 282, 18119, 4153, 269, 67, 274, 16, 21018, 8701, 16, 274, 19, 580, 274, 1755, 3132, 15165, 16, 310, 618, 17329, 390, 2187, 248, 4865, 21, 7160, 4811, 596, 11530, 254, 436, 286, 310, 22481, 3123, 20757, 52, 942, 254, 21, 12406, 23, 642, 286, 28, 6702, 1162, 3541, 18, 18, 15657, 274, 254, 520, 13042, 276, 27, 555, 35020, 16056, 3083, 15, 274, 16, 19, 254, 1525, 5278, 512, 21, 50, 19, 286, 282, 2443, 1637, 2632, 963, 633, 476, 826, 4306, 417, 668, 353, 16101, 14, 3732, 248, 274, 46707, 19102, 282, 272, 1679, 276, 3783, 1391, 330, 348, 42, 15291, 21886, 888, 85, 493, 32556, 5630, 1308, 369, 44301, 21, 37250, 2692, 2780, 348, 16, 274, 511, 1399, 274, 286, 321, 343, 311, 769, 663, 1057, 1074, 1863, 282, 1316, 324, 19, 188, 282, 1503, 1910, 368, 21821, 254, 254, 310, 530, 27077, 671, 731, 4428, 188, 276, 286, 16641, 330, 6702, 436, 1323, 254, 188, 18, 282, 6705, 282, 1963, 16, 9847, 9847, 4185, 18, 330, 2065, 321, 20207, 2734, 434, 269, 44301, 618, 272, 14603, 1872, 3129, 2615, 1754, 353, 40305, 27, 23983, 16, 8232, 27, 512, 47669, 2411, 11061, 4418, 2672, 18, 683, 330, 7786, 5048, 1021, 17065, 18626, 40305, 14627, 188, 310, 512, 16641, 3265, 587, 310, 1460, 28, 330, 28, 1114, 1336, 3655, 633, 15074, 29175, 13752, 13944, 19, 1130, 28, 5578, 14, 29355, 19409, 20, 695, 1988, 368, 14, 30647, 16, 282, 843, 16, 5686, 348, 28593, 4414, 479, 254, 14, 282, 7449, 8029, 10794, 254, 254, 349, 815, 286, 349, 188, 436, 30557, 248, 9847, 274, 40957, 248, 436, 12255, 7638, 14403, 44301, 1004, 40305, 21175, 3198, 353, 22475, 14, 9847, 21642, 7691, 18, 2348, 1910, 10926, 1956, 36, 11530, 327, 4850, 6287, 314, 9748, 349, 2477, 310, 3123, 16641, 188, 16, 4444, 15, 8950, 368, 286, 512, 479, 1919, 2642, 327, 27212, 530, 6702, 16, 44301, 587, 484, 14403, 669, 16, 13284, 16641, 282, 282, 248, 21640, 18431, 18, 327, 511, 7002, 484, 1125, 16, 774, 16, 10258, 14403, 765, 12269, 2687, 286, 2703, 387, 2348, 14548, 12685, 886, 9756, 276, 587, 4992, 16641, 661, 18, 625, 28089, 618, 2632, 18100, 1910, 436, 668, 5671, 188, 188, 44301, 597, 729, 30557, 618, 12557, 44301, 618, 16, 2135, 2284, 858, 321, 8466, 3692, 28, 188, 310, 13042, 14, 327, 188, 274, 286, 18, 188, 44301, 15, 248, 16, 14, 328, 368, 7057, 5396, 18, 2563, 8611, 274, 6476, 6397, 3343, 479, 7093, 6412, 14, 3997, 9123, 3123, 561, 14, 12306, 19, 666, 14, 19, 16, 343, 5833, 2232, 21709, 2052, 282, 286, 12312, 407, 310, 13042, 1949, 3123, 248, 1460, 14, 3017, 35786, 28, 5048, 274, 407, 27, 1296, 1130, 1912, 19, 476, 274, 29111, 28, 4603, 432, 1460, 1013, 2348, 16, 16, 432, 3870, 20563, 434, 274, 282, 44301, 3488, 14, 28, 436, 19375, 274, 5854, 327, 18, 19, 16, 5851, 17095, 4139, 27, 366, 330, 16641, 7697, 889, 348, 274, 2384, 587, 3123, 254, 3290, 16641, 1213, 282, 633, 282, 24535, 5431, 2646, 10008, 2348, 19, 276, 286, 28, 28171, 16, 6847, 16, 188, 14, 8129, 4285, 18, 715, 188, 22404, 11750, 2692, 330, 3123, 5553, 9055, 328, 3596, 1456, 2672, 321, 27, 18563, 28, 18, 5203, 16, 20, 3987, 1603, 324, 35020, 16, 3762, 9326, 4185, 6136, 27, 436, 286, 4112, 24535, 997, 18, 3170, 8037, 944, 44301, 33903, 7573, 18, 343, 26246, 14403, 4268, 310, 16, 310, 286, 1910, 1912, 248, 10036, 532, 5445, 282, 1530, 188, 2411, 670, 0, 1012, 28, 4185, 3248, 286, 1317, 530, 321, 44301, 330, 282, 3405, 13042 ]

[ 1, 1041, 3135, 6786, 9751, 401, 32177, 457, 282, 353, 353, 86, 254, 1052, 16, 763, 188, 81, 16, 900, 6499, 1525, 85, 19063, 899, 324, 3135, 4702, 254, 274, 403, 8901, 343, 4954, 254, 11608, 626, 387, 248, 380, 4076, 745, 432, 457, 2408, 274, 2165, 533, 7306, 6211, 254, 85, 452, 15, 16, 16, 2377, 6577, 17863, 17803, 321, 748, 510, 2517, 282, 265, 248, 2165, 11467, 14110, 22354, 1806, 14, 286, 348, 343, 633, 900, 913, 282, 188, 654, 41850, 2563, 843, 188, 587, 252, 3135, 2110, 254, 188, 19534, 16, 476, 1853, 679, 11114, 16, 188, 15, 668, 1205, 11114, 289, 5370, 1395, 16, 16, 11114, 5575, 19, 597, 274, 286, 546, 251, 276, 286, 2622, 1057, 2362, 324, 274, 321, 19, 1040, 642, 5032, 14, 5511, 248, 624, 14, 16, 5396, 18, 670, 11897, 282, 254, 633, 282, 14211, 328, 13700, 671, 282, 13135, 633, 6786, 276, 16, 5396, 2517, 1162, 16, 3135, 18463, 1041, 457, 457, 14, 2818, 282, 4368, 374, 248, 417, 533, 10875, 15284, 14, 353, 2969, 248, 254, 24654, 721, 328, 3135, 328, 11114, 1391, 274, 254, 7032, 188, 14, 327, 665, 3483, 2456, 1919, 15012, 24658, 1026, 286, 2181, 9751, 5939, 5575, 580, 10216, 286, 1033, 798, 4244, 2725, 14, 587, 11871, 6299, 16, 272, 747, 2586, 254, 686, 282, 624, 286, 254, 5575, 6627, 26171, 254, 457, 1141, 13220, 248, 9806, 274, 315, 5645, 254, 12323, 10335, 360, 3925, 14, 11535, 510, 15, 457, 2360, 4244, 4422, 16, 348, 721, 11368, 4244, 5256, 4866, 13220, 289, 387, 282, 12587, 1074, 327, 432, 4233, 867, 16, 452, 19534, 5485, 282, 14523, 633, 432, 34642, 3198, 17653, 16, 457, 10207, 16, 14, 348, 14, 889, 748, 1953, 403, 2114, 4244, 1004, 2517, 188, 15486, 619, 328, 254, 1897, 274, 4282, 188, 6906, 5764, 248, 248, 4076, 23, 390, 9165, 22737, 580, 9884, 2752, 282, 963, 85, 5370, 751, 596, 633, 3135, 16, 282, 5575, 4254, 1860, 3506, 915, 16, 274, 30080, 286, 14, 4076, 3135, 633, 254, 6627, 14, 7526, 4244, 321, 3135, 13622, 3135, 47873, 633, 396, 4150, 457, 5575, 6949, 273, 343, 40979, 254, 282, 282, 254, 19, 9391, 353, 3198, 668, 11758, 254, 286, 1853, 276, 633, 5370, 34687, 8223, 457, 843, 1004, 633, 254, 248, 348, 436, 14211, 368, 747, 13345, 29207, 4132, 19, 286, 272, 19, 16, 274, 432, 5396, 2104, 254, 695, 25196, 7636, 276, 633, 961, 289, 86, 368, 254, 3821, 561, 748, 915, 4150, 348, 16, 4244, 5047, 17389, 3564, 2186, 343, 555, 3135, 801, 254, 5352, 1450, 2586, 254, 40155, 33709, 254, 254, 4244, 248, 1934, 289, 25766, 587, 1449, 276, 248, 20267, 3135, 6231, 872, 11776, 457, 688, 14505, 254, 368, 5789, 37391, 801, 31573, 254, 3135, 2365, 3298, 7032, 311, 327, 289, 254, 16, 1395, 3135, 14, 282, 30687, 254, 1051, 3831, 774, 5396, 633, 248, 30323, 14, 597, 24654, 452, 2104, 633, 14, 6384, 2426, 580, 626, 4132, 248, 14, 683, 254, 457, 254, 4244, 2360, 984, 1051, 18847, 1920, 731, 3135, 4196, 327, 289, 14505, 17863, 1390, 274, 4076, 282, 85, 3294, 5575, 452, 282, 353, 1093, 4244, 15, 14, 4236, 457, 1606, 272, 254, 3483, 12406, 86, 3135, 328, 6627, 254, 2165, 5645, 274, 282, 85, 22338, 20, 272, 1004, 898, 1450, 17863, 1920, 311, 2485, 4244, 6211, 274, 683, 3854, 6931, 596, 13622, 85, 6205, 330, 14, 286, 5256, 311, 721, 740, 328, 22453, 5651, 24654, 633, 341, 31356, 16, 20955, 33879, 8738, 5127, 21886, 16, 14, 25, 20645, 6948, 6627, 12866, 15, 328, 4688, 286, 10949, 11114, 328, 20804, 561, 5694, 2517, 751, 18178, 3135, 2344, 282, 9234, 282, 289, 4328, 12055, 731, 4980, 188, 282, 29207, 14, 9919, 16, 597, 4282, 5396, 1919, 328, 276, 338, 16, 519, 5911, 1157, 328, 85, 505, 16, 13137, 286, 86, 624, 254, 4076, 4244, 14, 24, 13443, 21, 665, 17652, 587, 3422, 619, 254, 254, 16, 403, 510, 7325, 1038, 633, 24151, 254, 3135, 16, 6627, 20, 1390, 14, 3308, 188, 14769, 282, 274, 4244, 24642, 14, 4244, 14, 248, 188, 619, 1057, 29207, 3135, 980, 14211, 24228, 16, 353, 5575, 1897, 7793, 1026, 348, 17389, 16, 16, 254, 254, 19, 12067, 3135, 2080, 276, 6179, 39526, 2667, 10354, 4422, 324, 11114, 633, 2629, 19534, 4235, 683, 457, 311, 561, 368, 327, 12406, 14, 276, 14, 8955, 633, 2033, 633, 5645, 1012, 4236, 8955, 19, 311, 1450, 276, 633, 286, 7271, 3929, 587, 3083, 16, 248, 14, 6627, 274, 251, 38959, 353, 3944, 1450, 30189, 16, 633, 11114, 374, 282, 24654, 5767, 368, 1125, 289, 3252, 4325, 254, 188, 1180, 615, 12915, 16, 1449, 348, 286, 282, 188, 11114, 889, 12587, 2811, 328, 671, 254, 348, 2292, 14, 7032, 633, 254, 3901, 188, 254, 2666, 16, 282, 9165, 2165, 633, 254, 17628, 6400, 254, 633, 4244, 2251, 2686, 14505, 16, 3308, 4659, 81, 9165, 452, 624, 282, 1218, 396, 273, 254, 45958, 16, 368, 254, 282, 324, 7500, 14211, 16, 321, 5338, 721, 4422, 580, 14, 16, 16, 2442, 1033, 580, 353, 633, 248, 4919, 3135, 282, 282, 2056, 1382, 2374, 254, 19, 16, 1081, 510, 282, 18148, 6906, 6211, 21122, 476, 3660, 29207, 311, 45908, 338, 311, 85, 360, 869, 188, 188, 289, 457, 5575, 328, 1651, 3083, 276, 368, 11791, 88, 6948, 390, 16, 973, 4076, 1041, 2537, 596, 2517, 6334, 452, 5575, 30080, 390, 13220, 688, 2586, 254, 282, 977, 286, 3135, 2288, 9165, 1390, 1004, 2715, 286, 289, 900, 254, 2186, 1525, 695, 3135, 10149, 286, 4363, 4718, 2705, 16, 1755, 10068, 188, 14, 5396, 188, 633, 16, 13220, 974, 1002, 5575, 274, 286, 274, 311, 248, 3533, 9196, 15172, 274, 596, 16, 2110, 4273, 1395, 27022, 6458, 387, 324, 457, 1390, 311, 282, 748, 15, 14, 289, 5370, 3135, 343, 282, 4167, 26880, 587, 31314, 248, 254, 25, 328, 16719, 328, 669, 3083, 14, 729, 254, 282, 28957, 3135, 20484, 19, 3471, 11114, 512, 324, 274, 254, 1525, 5577, 9165, 24, 188, 254, 254, 1390, 1081, 21752, 282, 16, 641, 801, 3083, 328, 807, 597, 28957, 457, 11114, 7659, 16, 254, 343, 282, 721, 6203, 457, 633, 254, 2080, 4244, 10949, 2715, 390, 188, 16, 274 ]

[ 1, 6967, 27098, 1091, 23788, 2362, 14, 18, 3, 706, 23, 9300, 520, 368, 43, 5081, 310, 254, 337, 13061, 360, 4895, 22247, 2624, 3116, 1694, 248, 282, 188, 8946, 188, 457, 2714, 888, 8195, 852, 327, 338, 457, 3123, 719, 42658, 21444, 3701, 348, 7825, 16, 276, 25, 282, 254, 457, 7273, 1822, 1438, 286, 9429, 8946, 286, 2712, 1590, 618, 4574, 310, 79, 43, 561, 476, 35382, 254, 15, 3149, 1140, 14, 254, 3563, 33482, 4848, 4800, 401, 369, 2807, 1091, 1091, 282, 276, 188, 17967, 3408, 2819, 338, 282, 348, 11984, 636, 751, 510, 3763, 1270, 21770, 4428, 23104, 757, 1590, 6987, 17921, 314, 615, 763, 307, 2673, 86, 16, 2948, 23, 369, 7658, 520, 310, 785, 1590, 8195, 14, 188, 353, 1590, 16, 532, 13061, 188, 3928, 16, 636, 369, 15, 18, 353, 274, 314, 643, 21531, 1311, 852, 16, 9619, 339, 16, 353, 11841, 321, 374, 3834, 328, 188, 188, 188, 369, 33, 2020, 954, 6400, 188, 432, 74, 286, 8901, 3887, 1157, 457, 85, 807, 729, 4144, 37420, 26800, 3998, 1157, 429, 5322, 13283, 748, 188, 310, 353, 16, 286, 16888, 14, 310, 328, 2432, 16, 6400, 7688, 2211, 14, 1837, 5553, 369, 3198, 254, 390, 254, 8195, 1091, 282, 368, 0, 328, 6997, 2950, 254, 2041, 633, 369, 328, 403, 33, 25, 310, 663, 282, 12424, 520, 1590, 2055, 3360, 17013, 390, 3665, 16, 252, 12131, 1603, 365, 29, 954, 33, 7, 310, 369, 254, 1920, 188, 321, 1480, 86, 441, 254, 15, 43500, 29, 254, 387, 286, 1041, 1952, 188, 5330, 27062, 2056, 11, 532, 2065, 1438, 457, 188, 3556, 254, 345, 2318, 1815, 254, 29267, 11477, 500, 513, 1649, 31592, 254, 5081, 2083, 7584, 8443, 9642, 1091, 18, 1837, 188, 2008, 276, 3223, 16, 188, 328, 1250, 368, 13229, 32214, 378, 2950, 248, 580, 555, 328, 345, 8394, 369, 26401, 353, 324, 5330, 282, 274, 14, 286, 188, 5330, 248, 286, 1972, 1081, 45204, 282, 254, 4932, 264, 328, 248, 3530, 915, 11912, 642, 35821, 13061, 633, 563, 310, 368, 769, 772, 3155, 14, 38760, 7658, 679, 70, 432, 4848, 348, 1741, 1157, 2722, 380, 813, 254, 3074, 648, 670, 573, 12068, 15473, 835, 2537, 1708, 273, 23788, 6333, 343, 188, 324, 1907, 457, 9120, 835, 2545, 1181, 248, 14, 16, 6333, 3555, 188, 14, 86, 41430, 16, 248, 262, 274, 8621, 1931, 276, 2687, 16, 626, 14, 1091, 13494, 2430, 1623, 1590, 310, 1663, 2942, 3108, 17912, 2009, 282, 452, 417, 353, 13583, 7906, 2120, 188, 16, 1590, 14, 476, 248, 43, 16, 14743, 328, 276, 1444, 497, 274, 3470, 369, 328, 3609, 10725, 4369, 641, 248, 16, 1476, 8687, 2710, 2900, 8195, 729, 188, 33, 1063, 368, 254, 3701, 328, 1495, 14, 18864, 254, 324, 1590, 16297, 457, 650, 21285, 254, 1157, 457, 1212, 343, 9001, 7800, 387, 1503, 2245, 7025, 1934, 466, 1872, 751, 16, 17316, 43, 369, 248, 532, 274, 310, 188, 2980, 16, 286, 254, 2211, 9001, 282, 1091, 2683, 327, 14, 310, 9535, 188, 18317, 633, 254, 29, 432, 4941, 188, 328, 10259, 338, 254, 7754, 642, 1590, 282, 360, 248, 368, 47118, 273, 641, 30171, 14, 360, 466, 520, 749, 353, 286, 3156, 466, 274, 2779, 16460, 807, 670, 70, 338, 188, 3324, 841, 2654, 254, 1091, 16, 254, 1590, 85, 387, 1590, 25180, 6545, 250, 512, 841, 4009, 2379, 22996, 188, 18, 86, 380, 8356, 563, 8443, 1663, 2057, 371, 8687, 39144, 6073, 16, 254, 597, 274, 254, 188, 11, 2948, 254, 254, 18, 254, 310, 310, 374, 576, 457, 324, 1590, 688, 1708, 457, 338, 663, 479, 0, 10924, 510, 6914, 479, 286, 1590, 1853, 43, 2427, 248, 17967, 2072, 4966, 254, 12319, 757, 5707, 759, 454, 593, 14, 14, 18923, 6025, 6400, 369, 254, 19488, 520, 4931, 843, 2214, 348, 369, 368, 1482, 15491, 633, 811, 282, 361, 368, 343, 1590, 466, 954, 7078, 23670, 2733, 254, 3294, 3155, 807, 1143, 17449, 8195, 16888, 24031, 310, 5532, 28000, 6400, 641, 18429, 1091, 13151, 650, 25480, 749, 1631, 282, 25951, 310, 16, 1336, 286, 2546, 580, 276, 3435, 314, 18, 580, 43, 2654, 457, 2072, 286, 479, 3701, 4513, 1590, 648, 563, 2780, 2996, 286, 2675, 360, 1091, 3689, 1339, 593, 6400, 368, 1130, 596, 1091, 28716, 23, 1438, 5332, 1130, 328, 23791, 369, 282, 188, 1362, 1315, 37100, 311, 29, 361, 43, 4356, 597, 35382, 45349, 16882, 4047, 1212, 811, 70, 40096, 841, 33, 4574, 532, 5553, 273, 390, 479, 1074, 1970, 13591, 254, 14, 4186, 188, 10780, 16, 188, 521, 14, 15294, 47118, 282, 324, 15380, 328, 3419, 286, 1903, 5553, 17449, 16, 1364, 327, 1361, 532, 282, 436, 16, 16, 573, 254, 1856, 452, 23170, 867, 254, 2828, 18317, 311, 666, 369, 16, 12094, 33, 1862, 2714, 3223, 618, 1590, 368, 254, 1041, 52, 3763, 30194, 8728, 31222, 4603, 43, 479, 13229, 16, 35382, 248, 1360, 324, 276, 254, 282, 520, 254, 276, 763, 3294, 33, 1848, 43670, 1360, 2508, 1964, 16, 282, 15380, 324, 457, 16, 865, 390, 12057, 580, 1382, 4269, 310, 5553, 26087, 626, 328, 12057, 1590, 327, 45022, 188, 310, 274, 17886, 12057, 353, 1590, 327, 47118, 1193, 353, 25932, 254, 74, 843, 324, 16, 254, 328, 254, 310, 16, 642, 6086, 888, 188, 254, 28850, 5330, 383, 328, 22743, 5256, 3428, 337, 869, 1129, 282, 1619, 497, 282, 3108, 276, 254, 1441, 9470, 6297, 670, 32199, 24239, 282, 12617, 15, 14, 310, 5330, 3609, 428, 21696, 3428, 30555, 10187, 282, 47118, 86, 593, 852, 343, 1887, 361, 4806, 310, 16, 18, 18, 18, 8687, 369, 1919, 310, 2811, 3843, 3223, 872, 374, 188, 1964, 457, 1354, 248, 563, 311, 254, 310, 312, 254, 3, 3701, 328, 286, 8195, 2055, 1091, 286, 1649, 248, 16, 512, 272, 5332, 188, 452, 310, 14, 1091, 1059, 25830, 248, 1034, 387, 274, 380, 1837, 368, 369, 37093, 4474, 5710, 14, 633, 324, 1590, 13583, 18, 188, 772, 2731, 5580, 254, 16236, 286, 343, 374, 282, 33, 10233, 2714, 21511, 417, 839, 7061, 742, 327, 11, 14960, 5053, 282, 282, 6073, 432, 36, 7, 512, 353, 18429, 593, 4474, 441, 188, 748, 17905, 2714, 86, 403, 2494, 248, 2731, 14, 7061, 457, 254 ]

[ 1, 24, 347, 5537, 3595, 740, 496, 11752, 15352, 282, 13157, 188, 586, 42054, 721, 15456, 254, 274, 7034, 657, 14513, 338, 286, 274, 38, 18404, 276, 10692, 22579, 581, 4279, 276, 16, 14, 32385, 9048, 24782, 1555, 11, 22957, 26, 2088, 12116, 188, 254, 3063, 2088, 657, 276, 742, 17486, 774, 38724, 1379, 596, 3843, 426, 2066, 1017, 254, 188, 16, 1648, 2066, 42793, 14, 436, 2416, 254, 1982, 2828, 38, 37384, 11234, 26304, 4532, 1575, 188, 3551, 3819, 417, 20078, 484, 286, 1841, 347, 28, 38, 29521, 14, 10949, 2497, 2094, 587, 484, 273, 31097, 64, 23973, 21094, 34870, 481, 14, 45919, 23738, 85, 374, 28238, 1555, 324, 12116, 18991, 11062, 2966, 19, 188, 16728, 368, 12323, 4504, 33566, 63, 16, 14, 20368, 311, 3801, 7197, 265, 4568, 742, 16405, 10692, 25771, 2416, 16, 904, 7683, 254, 4298, 669, 7770, 347, 2641, 25771, 2689, 8443, 684, 286, 20299, 387, 40, 25, 457, 5039, 11, 4298, 38953, 2487, 2809, 2785, 33566, 596, 16, 1555, 751, 347, 347, 16, 0, 3333, 15, 16, 33566, 1018, 900, 286, 188, 16, 22081, 37712, 10949, 10181, 20305, 265, 282, 1027, 0, 592, 311, 4247, 15, 11585, 436, 15, 16, 10501, 6236, 311, 188, 10949, 3431, 91, 274, 47, 38724, 369, 407, 944, 1997, 10886, 14, 587, 8429, 8443, 1873, 473, 436, 14502, 956, 28, 254, 432, 655, 18, 960, 14, 1160, 15, 670, 33566, 38, 1081, 1575, 16, 68, 276, 22298, 1057, 18, 27, 4298, 9241, 16, 36071, 3963, 426, 1555, 17486, 32516, 271, 510, 273, 1610, 4298, 484, 11283, 188, 12641, 4358, 2416, 286, 314, 13493, 14, 1890, 15, 4, 403, 14, 85, 7792, 5039, 3199, 22362, 4298, 17790, 14, 8251, 380, 6027, 4, 44011, 1869, 825, 1555, 1120, 321, 510, 484, 4461, 188, 14755, 28, 25771, 36089, 1555, 286, 2779, 4131, 43218, 14, 1555, 4461, 282, 24, 1018, 347, 2689, 4589, 47977, 417, 4247, 14, 14513, 1018, 17426, 14, 15, 254, 11408, 14, 16, 4532, 1555, 4298, 248, 274, 426, 4279, 12816, 33566, 248, 68, 286, 248, 347, 5976, 15660, 14301, 18164, 353, 14, 4298, 61, 28, 28, 16, 276, 254, 47977, 7034, 12405, 338, 4145, 38724, 6900, 4756, 5009, 426, 896, 2987, 3628, 8443, 826, 4298, 16, 497, 387, 2399, 188, 14, 627, 13103, 436, 16, 16, 18806, 9289, 25, 1193, 1555, 340, 254, 436, 2088, 14, 61, 38, 1984, 36966, 17486, 9048, 4515, 671, 12323, 73, 254, 14, 31097, 670, 2630, 841, 12409, 2104, 426, 23281, 1450, 1416, 21, 390, 24033, 254, 3642, 338, 2332, 15722, 16164, 4, 10244, 24847, 693, 5116, 4532, 3518, 21545, 338, 21706, 24033, 4610, 2902, 4461, 10692, 436, 286, 254, 332, 8736, 254, 12409, 26618, 27, 276, 15, 1120, 7683, 274, 2181, 265, 18, 1044, 21805, 14, 15, 3135, 25054, 4010, 248, 21227, 16, 254, 14, 16031, 22887, 4532, 29241, 38, 311, 4298, 4383, 4247, 4298, 286, 2976, 826, 2088, 330, 14, 5555, 2630, 286, 188, 4515, 1146, 8221, 2785, 386, 2497, 1939, 274, 13103, 4504, 1555, 19, 888, 27, 17790, 8135, 16, 5809, 5555, 38, 14, 8776, 63, 376, 274, 4301, 254, 10433, 85, 188, 1286, 10794, 2330, 453, 254, 460, 22454, 14, 14, 23, 3831, 347, 9175, 8443, 188, 484, 5498, 4, 15, 44372, 626, 3642, 7197, 14755, 16, 1061, 272, 387, 282, 937, 4, 14, 8429, 7005, 1824, 407, 328, 8429, 68, 4461, 65, 47, 254, 347, 9622, 10568, 43578, 13999, 4298, 188, 12116, 1869, 286, 39100, 16, 324, 2689, 1180, 16, 7034, 4279, 38, 254, 568, 1516, 65, 11100, 254, 26, 4461, 3, 533, 19032, 11115, 16, 70, 6027, 254, 18415, 436, 4, 21567, 22135, 16, 2630, 63, 2689, 30463, 282, 1318, 324, 16, 436, 16, 282, 188, 2330, 1160, 14273, 11399, 960, 16728, 436, 473, 401, 17790, 432, 31097, 2411, 7197, 188, 12116, 839, 65, 387, 1146, 1555, 4298, 61, 7197, 311, 3101, 8443, 14, 64, 496, 14755, 436, 633, 426, 16, 79, 980, 16077, 4247, 14, 1555, 188, 24, 328, 23738, 2987, 25730, 30373, 2689, 14, 756, 1390, 15, 330, 7034, 3124, 274, 188, 74, 18, 16728, 254, 937, 2057, 4247, 4298, 4, 348, 286, 14, 16908, 276, 314, 4145, 65, 671, 311, 324, 282, 14, 254, 16, 369, 276, 7034, 1081, 14502, 22135, 19, 15352, 311, 19, 1545, 19032, 4298, 14273, 26487, 5039, 16164, 68, 188, 1146, 65, 2241, 14, 274, 311, 16, 7197, 4298, 3856, 310, 14502, 41089, 7034, 4298, 9241, 14, 3622, 436, 22887, 1450, 4400, 282, 3793, 4091, 633, 274, 4441, 273, 9519, 4442, 38, 4, 3184, 4091, 0, 34736, 4, 248, 4091, 248, 254, 12339, 347, 21, 282, 403, 3499, 4515, 15, 63, 670, 581, 10949, 14, 14, 31097, 24, 4515, 826, 2241, 956, 15660, 426, 2622, 2662, 2248, 1057, 719, 338, 47, 14, 1146, 1081, 188, 484, 9289, 188, 4298, 314, 657, 5626, 46062, 1146, 321, 274, 633, 4441, 8274, 14, 3086, 7683, 28, 830, 4610, 742, 16635, 274, 9519, 25771, 374, 16112, 25, 254, 1683, 1364, 47, 30774, 47977, 11782, 311, 314, 4314, 311, 4298, 188, 274, 510, 16, 16, 580, 343, 286, 28, 18, 385, 2487, 16, 3431, 61, 3642, 33566, 254, 4298, 188, 12816, 250, 39100, 8429, 889, 282, 16, 407, 683, 670, 22454, 671, 1018, 5555, 1081, 426, 16, 15, 20, 10, 7034, 3095, 510, 2442, 1822, 16164, 4298, 569, 26863, 27, 8331, 311, 16, 8443, 4091, 7034, 5787, 15, 15352, 7683, 17537, 269, 22316, 512, 13260, 671, 61, 254, 17570, 4298, 2057, 6234, 7637, 1545, 311, 1938, 3027, 74, 10283, 426, 2809, 481, 4504, 33566, 4298, 18901, 4298, 324, 14, 63, 8118, 8443, 7212, 14, 38708, 262, 426, 38, 314, 2127, 4, 18652, 5498, 14, 41942, 369, 9, 20865, 286, 347, 37716, 3479, 348, 286, 188, 16, 1018, 1212, 16, 2487, 16, 274, 19269, 1640, 390, 633, 14, 11183, 4610, 13103, 328, 188, 188, 188, 10270, 26, 30275, 254, 188, 11234, 4070, 274, 2057, 42793, 15, 2344, 10892, 188, 20305, 276, 28269, 1318, 31097, 43478, 9241, 2041, 695, 286, 18923, 254, 39991, 2641, 1555, 4091, 16, 12730, 4145, 10181, 10593, 254, 25771, 28, 188, 1656, 775, 40, 16, 4515, 476, 15397, 39100, 16, 657, 2487, 4, 14, 188, 2442, 23738, 348, 25093, 1732, 14, 65, 4298, 38, 368, 17523, 39100, 20299 ]